id	sid	tid	token	lemma	pos
iajs-2705	1	1	78	78	NUM
iajs-2705	1	2	zenali	zenali	VERB
iajs-2705	1	3	iteration	iteration	NOUN
iajs-2705	1	4	method	method	NOUN
iajs-2705	1	5	for	for	ADP
iajs-2705	1	6	approximating	approximate	VERB
iajs-2705	1	7	fixed	fix	VERB
iajs-2705	1	8	point	point	NOUN
iajs-2705	1	9	of	of	ADP
iajs-2705	1	10	a	a	DET
iajs-2705	1	11	𝜹𝓩𝓐	𝜹𝓩𝓐	PRON
iajs-2705	1	12	−	−	PROPN
iajs-2705	1	13	quasi	quasi	PROPN
iajs-2705	1	14	contractive	contractive	ADJ
iajs-2705	1	15	mappings	mapping	NOUN
iajs-2705	1	16	zena	zena	PROPN
iajs-2705	1	17	hussein	hussein	PROPN
iajs-2705	1	18	maibed	maibe	VERB
iajs-2705	1	19	ali	ali	PROPN
iajs-2705	1	20	qasem	qasem	PROPN
iajs-2705	1	21	thajil	thajil	PROPN
iajs-2705	1	22	department	department	NOUN
iajs-2705	1	23	of	of	ADP
iajs-2705	1	24	mathematics	mathematics	PROPN
iajs-2705	1	25	,	,	PUNCT
iajs-2705	1	26	college	college	NOUN
iajs-2705	1	27	of	of	ADP
iajs-2705	1	28	education	education	NOUN
iajs-2705	1	29	for	for	ADP
iajs-2705	1	30	pure	pure	ADJ
iajs-2705	1	31	science	science	NOUN
iajs-2705	1	32	(	(	PUNCT
iajs-2705	1	33	ibn	ibn	PROPN
iajs-2705	1	34	al	al	PROPN
iajs-2705	1	35	-	-	PUNCT
iajs-2705	1	36	haitham	haitham	PROPN
iajs-2705	1	37	)	)	PUNCT
iajs-2705	1	38	,	,	PUNCT
iajs-2705	1	39	university	university	NOUN
iajs-2705	1	40	of	of	ADP
iajs-2705	1	41	baghdad	baghdad	PROPN
iajs-2705	1	42	,	,	PUNCT
iajs-2705	1	43	iraq	iraq	PROPN
iajs-2705	1	44	.	.	PUNCT
iajs-2705	1	45	mrs_zena.hussein@yahoo.com	mrs_zena.hussein@yahoo.com	X
iajs-2705	2	1	ali.qasem1203a@ihcoedu.uobaghdad.edu.iq	ali.qasem1203a@ihcoedu.uobaghdad.edu.iq	ADJ
iajs-2705	2	2	abstract	abstract	NOUN
iajs-2705	2	3	.	.	PUNCT
iajs-2705	3	1	this	this	DET
iajs-2705	3	2	article	article	NOUN
iajs-2705	3	3	will	will	AUX
iajs-2705	3	4	introduce	introduce	VERB
iajs-2705	3	5	a	a	DET
iajs-2705	3	6	new	new	ADJ
iajs-2705	3	7	iteration	iteration	NOUN
iajs-2705	3	8	method	method	NOUN
iajs-2705	3	9	called	call	VERB
iajs-2705	3	10	the	the	DET
iajs-2705	3	11	zenali	zenali	VERB
iajs-2705	3	12	iteration	iteration	NOUN
iajs-2705	3	13	method	method	NOUN
iajs-2705	3	14	for	for	ADP
iajs-2705	3	15	the	the	DET
iajs-2705	3	16	approximation	approximation	NOUN
iajs-2705	3	17	of	of	ADP
iajs-2705	3	18	fixed	fix	VERB
iajs-2705	3	19	points	point	NOUN
iajs-2705	3	20	.	.	PUNCT
iajs-2705	4	1	we	we	PRON
iajs-2705	4	2	show	show	VERB
iajs-2705	4	3	that	that	SCONJ
iajs-2705	4	4	our	our	PRON
iajs-2705	4	5	iteration	iteration	NOUN
iajs-2705	4	6	process	process	NOUN
iajs-2705	4	7	is	be	AUX
iajs-2705	4	8	faster	fast	ADJ
iajs-2705	4	9	than	than	ADP
iajs-2705	4	10	the	the	DET
iajs-2705	4	11	current	current	ADJ
iajs-2705	4	12	leading	lead	VERB
iajs-2705	4	13	iterations	iteration	NOUN
iajs-2705	4	14	like	like	ADP
iajs-2705	4	15	mann	mann	PROPN
iajs-2705	4	16	,	,	PUNCT
iajs-2705	4	17	ishikawa	ishikawa	PROPN
iajs-2705	4	18	,	,	PUNCT
iajs-2705	4	19	noor	noor	PROPN
iajs-2705	4	20	,	,	PUNCT
iajs-2705	4	21	d	d	NOUN
iajs-2705	4	22	iterations	iteration	NOUN
iajs-2705	4	23	,	,	PUNCT
iajs-2705	4	24	and	and	CCONJ
iajs-2705	4	25	𝒦	𝒦	PROPN
iajs-2705	4	26	*	*	PUNCT
iajs-2705	4	27	iteration	iteration	NOUN
iajs-2705	4	28	for	for	ADP
iajs-2705	4	29	new	new	ADJ
iajs-2705	4	30	contraction	contraction	NOUN
iajs-2705	4	31	mappings	mapping	NOUN
iajs-2705	4	32	called	call	VERB
iajs-2705	4	33	𝛿𝒵𝒜	𝛿𝒵𝒜	NOUN
iajs-2705	4	34	−	−	PROPN
iajs-2705	4	35	quasi	quasi	ADJ
iajs-2705	4	36	contraction	contraction	NOUN
iajs-2705	4	37	mappings	mapping	NOUN
iajs-2705	4	38	.	.	PUNCT
iajs-2705	5	1	and	and	CCONJ
iajs-2705	5	2	we	we	PRON
iajs-2705	5	3	proved	prove	VERB
iajs-2705	5	4	that	that	SCONJ
iajs-2705	5	5	all	all	DET
iajs-2705	5	6	these	these	DET
iajs-2705	5	7	iterations	iteration	NOUN
iajs-2705	5	8	(	(	PUNCT
iajs-2705	5	9	mann	mann	PROPN
iajs-2705	5	10	,	,	PUNCT
iajs-2705	5	11	ishikawa	ishikawa	PROPN
iajs-2705	5	12	,	,	PUNCT
iajs-2705	5	13	noor	noor	PROPN
iajs-2705	5	14	,	,	PUNCT
iajs-2705	5	15	d	d	X
iajs-2705	5	16	iterations	iteration	NOUN
iajs-2705	5	17	and	and	CCONJ
iajs-2705	5	18	𝒦	𝒦	PROPN
iajs-2705	5	19	*	*	PUNCT
iajs-2705	5	20	iteration	iteration	NOUN
iajs-2705	5	21	)	)	PUNCT
iajs-2705	5	22	equivalent	equivalent	ADJ
iajs-2705	5	23	to	to	PART
iajs-2705	5	24	approximate	approximate	VERB
iajs-2705	5	25	fixed	fix	VERB
iajs-2705	5	26	points	point	NOUN
iajs-2705	5	27	of	of	ADP
iajs-2705	5	28	𝛿𝒵𝒜	𝛿𝒵𝒜	NOUN
iajs-2705	5	29	−	−	PROPN
iajs-2705	5	30	quasi	quasi	ADJ
iajs-2705	5	31	contraction	contraction	NOUN
iajs-2705	5	32	.	.	PUNCT
iajs-2705	6	1	we	we	PRON
iajs-2705	6	2	support	support	VERB
iajs-2705	6	3	our	our	PRON
iajs-2705	6	4	analytic	analytic	ADJ
iajs-2705	6	5	proof	proof	NOUN
iajs-2705	6	6	by	by	ADP
iajs-2705	6	7	a	a	DET
iajs-2705	6	8	numerical	numerical	ADJ
iajs-2705	6	9	example	example	NOUN
iajs-2705	6	10	,	,	PUNCT
iajs-2705	6	11	data	datum	NOUN
iajs-2705	6	12	dependence	dependence	NOUN
iajs-2705	6	13	result	result	NOUN
iajs-2705	6	14	for	for	ADP
iajs-2705	6	15	contraction	contraction	NOUN
iajs-2705	6	16	mappings	mapping	NOUN
iajs-2705	6	17	type	type	NOUN
iajs-2705	6	18	𝛿𝒵𝒜	𝛿𝒵𝒜	NOUN
iajs-2705	6	19	by	by	ADP
iajs-2705	6	20	employing	employ	VERB
iajs-2705	6	21	zenali	zenali	ADJ
iajs-2705	6	22	iteration	iteration	NOUN
iajs-2705	6	23	also	also	ADV
iajs-2705	6	24	discussed	discuss	VERB
iajs-2705	6	25	.	.	PUNCT
iajs-2705	7	1	keywords	keyword	NOUN
iajs-2705	7	2	:	:	PUNCT
iajs-2705	7	3	mann	mann	PROPN
iajs-2705	7	4	and	and	CCONJ
iajs-2705	7	5	𝒦	𝒦	PROPN
iajs-2705	7	6	*	*	PUNCT
iajs-2705	7	7	iteration	iteration	NOUN
iajs-2705	7	8	,	,	PUNCT
iajs-2705	7	9	𝛿𝒵𝒜	𝛿𝒵𝒜	VERB
iajs-2705	7	10	−	−	PROPN
iajs-2705	7	11	quasi	quasi	ADJ
iajs-2705	7	12	contraction	contraction	NOUN
iajs-2705	7	13	mappings	mapping	NOUN
iajs-2705	7	14	.	.	PUNCT
iajs-2705	8	1	1	1	X
iajs-2705	8	2	.	.	X
iajs-2705	8	3	introduction	introduction	NOUN
iajs-2705	8	4	the	the	DET
iajs-2705	8	5	fixed	fix	VERB
iajs-2705	8	6	point	point	NOUN
iajs-2705	8	7	theory	theory	NOUN
iajs-2705	8	8	is	be	AUX
iajs-2705	8	9	one	one	NUM
iajs-2705	8	10	of	of	ADP
iajs-2705	8	11	the	the	DET
iajs-2705	8	12	most	most	ADV
iajs-2705	8	13	important	important	ADJ
iajs-2705	8	14	theories	theory	NOUN
iajs-2705	8	15	that	that	PRON
iajs-2705	8	16	play	play	VERB
iajs-2705	8	17	an	an	DET
iajs-2705	8	18	important	important	ADJ
iajs-2705	8	19	and	and	CCONJ
iajs-2705	8	20	fundamental	fundamental	ADJ
iajs-2705	8	21	role	role	NOUN
iajs-2705	8	22	to	to	PART
iajs-2705	8	23	solve	solve	VERB
iajs-2705	8	24	many	many	ADJ
iajs-2705	8	25	problems	problem	NOUN
iajs-2705	8	26	in	in	ADP
iajs-2705	8	27	various	various	ADJ
iajs-2705	8	28	fields	field	NOUN
iajs-2705	8	29	of	of	ADP
iajs-2705	8	30	science	science	NOUN
iajs-2705	8	31	and	and	CCONJ
iajs-2705	8	32	knowledge	knowledge	NOUN
iajs-2705	8	33	such	such	ADJ
iajs-2705	8	34	as	as	ADP
iajs-2705	8	35	geometry	geometry	NOUN
iajs-2705	8	36	,	,	PUNCT
iajs-2705	8	37	game	game	NOUN
iajs-2705	8	38	theory	theory	NOUN
iajs-2705	8	39	,	,	PUNCT
iajs-2705	8	40	chemistry	chemistry	NOUN
iajs-2705	8	41	,	,	PUNCT
iajs-2705	8	42	etc	etc	X
iajs-2705	8	43	.	.	X
iajs-2705	8	44	numerical	numerical	ADJ
iajs-2705	8	45	calculation	calculation	NOUN
iajs-2705	8	46	of	of	ADP
iajs-2705	8	47	fixed	fix	VERB
iajs-2705	8	48	points	point	NOUN
iajs-2705	8	49	for	for	ADP
iajs-2705	8	50	nonlinear	nonlinear	ADJ
iajs-2705	8	51	operators	operator	NOUN
iajs-2705	8	52	is	be	AUX
iajs-2705	8	53	also	also	ADV
iajs-2705	8	54	an	an	DET
iajs-2705	8	55	active	active	ADJ
iajs-2705	8	56	research	research	NOUN
iajs-2705	8	57	problem	problem	NOUN
iajs-2705	8	58	at	at	ADP
iajs-2705	8	59	present	present	NOUN
iajs-2705	8	60	for	for	ADP
iajs-2705	8	61	nonlinear	nonlinear	ADJ
iajs-2705	8	62	analysis	analysis	NOUN
iajs-2705	8	63	due	due	ADP
iajs-2705	8	64	to	to	ADP
iajs-2705	8	65	its	its	PRON
iajs-2705	8	66	applications	application	NOUN
iajs-2705	8	67	in	in	ADP
iajs-2705	8	68	balance	balance	NOUN
iajs-2705	8	69	problems	problem	NOUN
iajs-2705	8	70	,	,	PUNCT
iajs-2705	8	71	variable	variable	ADJ
iajs-2705	8	72	inequality	inequality	NOUN
iajs-2705	8	73	,	,	PUNCT
iajs-2705	8	74	image	image	NOUN
iajs-2705	8	75	coding	coding	NOUN
iajs-2705	8	76	,	,	PUNCT
iajs-2705	8	77	computer	computer	NOUN
iajs-2705	8	78	simulation	simulation	NOUN
iajs-2705	8	79	and	and	CCONJ
iajs-2705	8	80	more	more	ADJ
iajs-2705	8	81	.	.	PUNCT
iajs-2705	9	1	for	for	ADP
iajs-2705	9	2	that	that	PRON
iajs-2705	9	3	,	,	PUNCT
iajs-2705	9	4	many	many	ADJ
iajs-2705	9	5	authors	author	NOUN
iajs-2705	9	6	have	have	AUX
iajs-2705	9	7	created	create	VERB
iajs-2705	9	8	a	a	DET
iajs-2705	9	9	large	large	ADJ
iajs-2705	9	10	number	number	NOUN
iajs-2705	9	11	of	of	ADP
iajs-2705	9	12	algorithms	algorithm	NOUN
iajs-2705	9	13	to	to	PART
iajs-2705	9	14	approximate	approximate	VERB
iajs-2705	9	15	the	the	DET
iajs-2705	9	16	fixed	fix	VERB
iajs-2705	9	17	point	point	NOUN
iajs-2705	9	18	for	for	ADP
iajs-2705	9	19	different	different	ADJ
iajs-2705	9	20	types	type	NOUN
iajs-2705	9	21	of	of	ADP
iajs-2705	9	22	applications	application	NOUN
iajs-2705	9	23	for	for	ADP
iajs-2705	9	24	example	example	NOUN
iajs-2705	9	25	see	see	VERB
iajs-2705	9	26	[	[	X
iajs-2705	9	27	1	1	NUM
iajs-2705	9	28	-	-	SYM
iajs-2705	9	29	9	9	NUM
iajs-2705	9	30	]	]	PUNCT
iajs-2705	9	31	.	.	PUNCT
iajs-2705	10	1	the	the	DET
iajs-2705	10	2	well	well	ADV
iajs-2705	10	3	-	-	PUNCT
iajs-2705	10	4	known	know	VERB
iajs-2705	10	5	banach	banach	NOUN
iajs-2705	10	6	contraction	contraction	NOUN
iajs-2705	10	7	theorem	theorem	VERB
iajs-2705	10	8	uses	use	VERB
iajs-2705	10	9	the	the	DET
iajs-2705	10	10	picard	picard	NOUN
iajs-2705	10	11	iteration	iteration	NOUN
iajs-2705	10	12	mechanism	mechanism	NOUN
iajs-2705	10	13	for	for	ADP
iajs-2705	10	14	fixed	fix	VERB
iajs-2705	10	15	point	point	NOUN
iajs-2705	10	16	approximation	approximation	NOUN
iajs-2705	10	17	.	.	PUNCT
iajs-2705	11	1	this	this	DET
iajs-2705	11	2	paper	paper	NOUN
iajs-2705	11	3	consists	consist	VERB
iajs-2705	11	4	of	of	ADP
iajs-2705	11	5	three	three	NUM
iajs-2705	11	6	sections	section	NOUN
iajs-2705	11	7	section	section	NOUN
iajs-2705	11	8	one	one	NUM
iajs-2705	11	9	converges	converge	VERB
iajs-2705	11	10	the	the	DET
iajs-2705	11	11	zenali	zenali	VERB
iajs-2705	11	12	iteration	iteration	NOUN
iajs-2705	11	13	with	with	ADP
iajs-2705	11	14	all	all	DET
iajs-2705	11	15	these	these	DET
iajs-2705	11	16	iterations	iteration	NOUN
iajs-2705	11	17	.	.	PUNCT
iajs-2705	12	1	in	in	ADP
iajs-2705	12	2	section	section	NOUN
iajs-2705	12	3	two	two	NUM
iajs-2705	12	4	rate	rate	NOUN
iajs-2705	12	5	of	of	ADP
iajs-2705	12	6	converge	converge	NOUN
iajs-2705	12	7	,	,	PUNCT
iajs-2705	12	8	section	section	NOUN
iajs-2705	12	9	three	three	NUM
iajs-2705	12	10	equivalent	equivalent	ADJ
iajs-2705	12	11	,	,	PUNCT
iajs-2705	12	12	section	section	NOUN
iajs-2705	12	13	four	four	NUM
iajs-2705	12	14	numerical	numerical	ADJ
iajs-2705	12	15	example	example	NOUN
iajs-2705	12	16	with	with	ADP
iajs-2705	12	17	real	real	ADJ
iajs-2705	12	18	datasets	dataset	NOUN
iajs-2705	12	19	.	.	PUNCT
iajs-2705	13	1	many	many	ADJ
iajs-2705	13	2	of	of	ADP
iajs-2705	13	3	the	the	DET
iajs-2705	13	4	other	other	ADJ
iajs-2705	13	5	well	well	ADV
iajs-2705	13	6	-	-	PUNCT
iajs-2705	13	7	known	know	VERB
iajs-2705	13	8	iterative	iterative	NOUN
iajs-2705	13	9	methods	method	NOUN
iajs-2705	13	10	are	be	AUX
iajs-2705	13	11	those	those	PRON
iajs-2705	13	12	of	of	ADP
iajs-2705	13	13	mann	mann	PROPN
iajs-2705	13	14	[	[	X
iajs-2705	13	15	10	10	NUM
iajs-2705	13	16	]	]	PUNCT
iajs-2705	13	17	,	,	PUNCT
iajs-2705	13	18	ishikawa	ishikawa	PROPN
iajs-2705	14	1	[	[	X
iajs-2705	14	2	11	11	NUM
iajs-2705	14	3	]	]	PUNCT
iajs-2705	14	4	,	,	PUNCT
iajs-2705	14	5	diteration	diteration	NOUN
iajs-2705	15	1	[	[	X
iajs-2705	15	2	12	12	NUM
iajs-2705	15	3	]	]	PUNCT
iajs-2705	15	4	,	,	PUNCT
iajs-2705	15	5	picard	picard	PROPN
iajs-2705	15	6	s	s	PART
iajs-2705	15	7	iteration	iteration	NOUN
iajs-2705	15	8	[	[	X
iajs-2705	15	9	13	13	NUM
iajs-2705	15	10	]	]	PUNCT
iajs-2705	15	11	,	,	PUNCT
iajs-2705	15	12	𝒦*-iteration	𝒦*-iteration	PROPN
iajs-2705	16	1	[	[	X
iajs-2705	16	2	14	14	NUM
iajs-2705	16	3	]	]	PUNCT
iajs-2705	16	4	,	,	PUNCT
iajs-2705	16	5	noor	noor	PROPN
iajs-2705	16	6	iteration	iteration	NOUN
iajs-2705	16	7	[	[	X
iajs-2705	16	8	15	15	NUM
iajs-2705	16	9	]	]	PUNCT
iajs-2705	16	10	.	.	PUNCT
iajs-2705	17	1	ibn	ibn	PROPN
iajs-2705	17	2	al	al	PROPN
iajs-2705	17	3	haitham	haitham	PROPN
iajs-2705	17	4	journal	journal	PROPN
iajs-2705	17	5	for	for	ADP
iajs-2705	17	6	pure	pure	ADJ
iajs-2705	17	7	and	and	CCONJ
iajs-2705	17	8	applied	apply	VERB
iajs-2705	17	9	science	science	NOUN
iajs-2705	17	10	journal	journal	PROPN
iajs-2705	17	11	homepage	homepage	NOUN
iajs-2705	17	12	:	:	PUNCT
iajs-2705	17	13	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	NOUN
iajs-2705	17	14	doi	doi	NOUN
iajs-2705	17	15	:	:	PUNCT
iajs-2705	17	16	10.30526/34.4.2705	10.30526/34.4.2705	ADJ
iajs-2705	17	17	article	article	NOUN
iajs-2705	17	18	history	history	NOUN
iajs-2705	17	19	:	:	PUNCT
iajs-2705	17	20	received	receive	VERB
iajs-2705	17	21	15	15	NUM
iajs-2705	17	22	april	april	PROPN
iajs-2705	17	23	2021	2021	NUM
iajs-2705	17	24	,	,	PUNCT
iajs-2705	17	25	accepted	accept	VERB
iajs-2705	17	26	30	30	NUM
iajs-2705	17	27	may	may	PROPN
iajs-2705	17	28	20	20	NUM
iajs-2705	17	29	12	12	NUM
iajs-2705	17	30	,	,	PUNCT
iajs-2705	17	31	published	publish	VERB
iajs-2705	17	32	in	in	ADP
iajs-2705	17	33	october	october	PROPN
iajs-2705	17	34	2021	2021	NUM
iajs-2705	17	35	.	.	PUNCT
iajs-2705	18	1	mailto:mrs_zena.hussein@yahoo.com	mailto:mrs_zena.hussein@yahoo.com	PROPN
iajs-2705	19	1	mailto:ali.qasem1203a@ihcoedu.uobaghdad.edu.iq	mailto:ali.qasem1203a@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-2705	19	2	ibn	ibn	PROPN
iajs-2705	19	3	al	al	PROPN
iajs-2705	19	4	-	-	PUNCT
iajs-2705	19	5	haitham	haitham	PROPN
iajs-2705	19	6	jour	jour	X
iajs-2705	19	7	.	.	PROPN
iajs-2705	20	1	for	for	ADP
iajs-2705	20	2	pure	pure	ADJ
iajs-2705	20	3	&	&	CCONJ
iajs-2705	20	4	appl	appl	PROPN
iajs-2705	20	5	.	.	PUNCT
iajs-2705	21	1	sci	sci	PROPN
iajs-2705	21	2	.	.	PROPN
iajs-2705	22	1	34(4)2021	34(4)2021	NUM
iajs-2705	22	2	79	79	NUM
iajs-2705	22	3	let	let	VERB
iajs-2705	22	4	ℳ	ℳ	PRON
iajs-2705	22	5	be	be	AUX
iajs-2705	22	6	a	a	DET
iajs-2705	22	7	uniformly	uniformly	ADV
iajs-2705	22	8	convex	convex	NOUN
iajs-2705	22	9	banach	banach	NOUN
iajs-2705	22	10	space	space	NOUN
iajs-2705	22	11	,	,	PUNCT
iajs-2705	22	12	∅	∅	NOUN
iajs-2705	22	13	≠	≠	PROPN
iajs-2705	22	14	𝒞	𝒞	PROPN
iajs-2705	22	15	be	be	VERB
iajs-2705	22	16	a	a	DET
iajs-2705	22	17	closed	closed	ADJ
iajs-2705	22	18	-	-	PUNCT
iajs-2705	22	19	convex	convex	NOUN
iajs-2705	22	20	subset	subset	NOUN
iajs-2705	22	21	of	of	ADP
iajs-2705	22	22	ℳ.	ℳ.	PROPN
iajs-2705	22	23	we	we	PRON
iajs-2705	22	24	recall	recall	VERB
iajs-2705	22	25	some	some	DET
iajs-2705	22	26	definitions	definition	NOUN
iajs-2705	22	27	of	of	ADP
iajs-2705	22	28	those	those	DET
iajs-2705	22	29	iterations	iteration	NOUN
iajs-2705	22	30	as	as	ADP
iajs-2705	22	31	:	:	PUNCT
iajs-2705	22	32	1let	1let	PROPN
iajs-2705	22	33	<	<	X
iajs-2705	22	34	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	22	35	>	>	PUNCT
iajs-2705	22	36	,	,	PUNCT
iajs-2705	22	37	<	<	X
iajs-2705	22	38	𝓉𝑛	𝓉𝑛	X
iajs-2705	22	39	>	>	X
iajs-2705	22	40	and	and	CCONJ
iajs-2705	22	41	<	<	AUX
iajs-2705	22	42	𝓊𝑛	𝓊𝑛	X
iajs-2705	22	43	>	>	X
iajs-2705	22	44	are	be	AUX
iajs-2705	22	45	sequences	sequence	NOUN
iajs-2705	22	46	lies	lie	VERB
iajs-2705	22	47	in	in	ADP
iajs-2705	22	48	(	(	PUNCT
iajs-2705	22	49	0,1	0,1	NUM
iajs-2705	22	50	)	)	PUNCT
iajs-2705	22	51	.	.	PUNCT
iajs-2705	23	1	the	the	DET
iajs-2705	23	2	following	follow	VERB
iajs-2705	23	3	iteration	iteration	NOUN
iajs-2705	23	4	〈	〈	PROPN
iajs-2705	23	5	dn	dn	ADJ
iajs-2705	23	6	〉	〉	NOUN
iajs-2705	23	7	is	be	AUX
iajs-2705	23	8	called	call	VERB
iajs-2705	23	9	𝐷iteration	𝐷iteration	PROPN
iajs-2705	23	10	and	and	CCONJ
iajs-2705	23	11	defined	define	VERB
iajs-2705	23	12	as	as	SCONJ
iajs-2705	23	13	follows	follow	VERB
iajs-2705	23	14	:	:	PUNCT
iajs-2705	23	15	d0	d0	PROPN
iajs-2705	23	16	∈	∈	PROPN
iajs-2705	23	17	𝒞	𝒞	PROPN
iajs-2705	23	18	,	,	PUNCT
iajs-2705	23	19	sn	sn	NOUN
iajs-2705	23	20	=	=	PUNCT
iajs-2705	23	21	(	(	PUNCT
iajs-2705	23	22	1	1	NUM
iajs-2705	23	23	−	−	NOUN
iajs-2705	23	24	𝓊n)dn	𝓊n)dn	NUM
iajs-2705	24	1	+	+	NUM
iajs-2705	24	2	𝓊n	𝓊n	ADP
iajs-2705	24	3	𝒯dn	𝒯dn	PROPN
iajs-2705	24	4	,	,	PUNCT
iajs-2705	24	5	tn	tn	NOUN
iajs-2705	24	6	=	=	SYM
iajs-2705	24	7	(	(	PUNCT
iajs-2705	24	8	1	1	NUM
iajs-2705	24	9	−	−	NOUN
iajs-2705	24	10	𝓉n)𝒯dn	𝓉n)𝒯dn	NOUN
iajs-2705	24	11	+	+	CCONJ
iajs-2705	24	12	𝓉n	𝓉n	PROPN
iajs-2705	24	13	𝒯sn	𝒯sn	PROPN
iajs-2705	24	14	,	,	PUNCT
iajs-2705	24	15	dn+1	dn+1	X
iajs-2705	24	16	=	=	SYM
iajs-2705	24	17	(	(	PUNCT
iajs-2705	24	18	1	1	NUM
iajs-2705	24	19	−	−	NOUN
iajs-2705	24	20	𝓈n)𝒯sn	𝓈n)𝒯sn	NOUN
iajs-2705	24	21	+	+	CCONJ
iajs-2705	24	22	𝓈n	𝓈n	ADP
iajs-2705	24	23	𝒯tn	𝒯tn	PROPN
iajs-2705	24	24	.	.	PUNCT
iajs-2705	25	1	2	2	NUM
iajs-2705	25	2	let	let	VERB
iajs-2705	25	3	𝓏𝑛	𝓏𝑛	PRON
iajs-2705	25	4	∈	∈	PROPN
iajs-2705	25	5	𝒞.	𝒞.	VERB
iajs-2705	25	6	the	the	DET
iajs-2705	25	7	following	follow	VERB
iajs-2705	25	8	iteration	iteration	NOUN
iajs-2705	25	9	〈	〈	PROPN
iajs-2705	25	10	𝓏𝑛	𝓏𝑛	NOUN
iajs-2705	25	11	〉	〉	NOUN
iajs-2705	25	12	is	be	AUX
iajs-2705	25	13	called	call	VERB
iajs-2705	25	14	𝑃icard	𝑃icard	PROPN
iajs-2705	25	15	iteration	iteration	NOUN
iajs-2705	25	16	and	and	CCONJ
iajs-2705	25	17	defined	define	VERB
iajs-2705	25	18	as	as	SCONJ
iajs-2705	25	19	follows	follow	VERB
iajs-2705	25	20	:	:	PUNCT
iajs-2705	25	21	𝓏𝑛+1	𝓏𝑛+1	PROPN
iajs-2705	25	22	=	=	SYM
iajs-2705	25	23	𝒯𝓏𝑛	𝒯𝓏𝑛	PROPN
iajs-2705	25	24	,	,	PUNCT
iajs-2705	25	25	𝑛	𝑛	PROPN
iajs-2705	25	26	𝜖	𝜖	X
iajs-2705	25	27	𝑁.	𝑁.	PROPN
iajs-2705	25	28	3let	3let	PROPN
iajs-2705	25	29	<	<	X
iajs-2705	25	30	𝓈𝑛	𝓈𝑛	X
iajs-2705	25	31	>	>	X
iajs-2705	25	32	be	be	AUX
iajs-2705	25	33	a	a	DET
iajs-2705	25	34	sequence	sequence	NOUN
iajs-2705	25	35	in	in	ADP
iajs-2705	25	36	(	(	PUNCT
iajs-2705	25	37	0,1	0,1	NUM
iajs-2705	25	38	)	)	PUNCT
iajs-2705	25	39	.	.	PUNCT
iajs-2705	26	1	the	the	DET
iajs-2705	26	2	following	follow	VERB
iajs-2705	26	3	iteration	iteration	NOUN
iajs-2705	26	4	is	be	AUX
iajs-2705	26	5	called	call	VERB
iajs-2705	26	6	mann	mann	PROPN
iajs-2705	26	7	iteration	iteration	NOUN
iajs-2705	26	8	and	and	CCONJ
iajs-2705	26	9	defined	define	VERB
iajs-2705	26	10	as	as	SCONJ
iajs-2705	26	11	follows	follow	VERB
iajs-2705	26	12	:	:	PUNCT
iajs-2705	26	13	𝑟0	𝑟0	PROPN
iajs-2705	26	14	𝜖	𝜖	PROPN
iajs-2705	26	15	𝒞	𝒞	PROPN
iajs-2705	26	16	,	,	PUNCT
iajs-2705	26	17	𝑟𝑛+1	𝑟𝑛+1	X
iajs-2705	26	18	=	=	SYM
iajs-2705	26	19	(	(	PUNCT
iajs-2705	26	20	1	1	NUM
iajs-2705	26	21	−	−	PROPN
iajs-2705	26	22	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	26	23	)	)	PUNCT
iajs-2705	26	24	𝑟𝑛	𝑟𝑛	PROPN
iajs-2705	27	1	+	+	SYM
iajs-2705	27	2	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	27	3	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	27	4	,	,	PUNCT
iajs-2705	27	5	𝑛	𝑛	PRON
iajs-2705	27	6	𝜖𝑁.	𝜖𝑁.	NOUN
iajs-2705	27	7	4let	4let	PROPN
iajs-2705	27	8	<	<	X
iajs-2705	27	9	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	27	10	>	>	PUNCT
iajs-2705	27	11	,	,	PUNCT
iajs-2705	27	12	<	<	X
iajs-2705	27	13	𝓉𝑛	𝓉𝑛	X
iajs-2705	27	14	>	>	X
iajs-2705	27	15	and	and	CCONJ
iajs-2705	27	16	<	<	X
iajs-2705	27	17	𝓊𝑛	𝓊𝑛	AUX
iajs-2705	27	18	>	>	X
iajs-2705	27	19	be	be	AUX
iajs-2705	27	20	real	real	ADJ
iajs-2705	27	21	sequences	sequence	NOUN
iajs-2705	27	22	in	in	ADP
iajs-2705	27	23	(	(	PUNCT
iajs-2705	27	24	0,1	0,1	NUM
iajs-2705	27	25	)	)	PUNCT
iajs-2705	27	26	.	.	PUNCT
iajs-2705	28	1	the	the	DET
iajs-2705	28	2	following	follow	VERB
iajs-2705	28	3	iteration	iteration	NOUN
iajs-2705	28	4	is	be	AUX
iajs-2705	28	5	called	call	VERB
iajs-2705	28	6	ishikawa	ishikawa	PROPN
iajs-2705	28	7	iteration	iteration	NOUN
iajs-2705	28	8	and	and	CCONJ
iajs-2705	28	9	defined	define	VERB
iajs-2705	28	10	as	as	SCONJ
iajs-2705	28	11	follows	follow	VERB
iajs-2705	28	12	𝑤0	𝑤0	PROPN
iajs-2705	28	13	∈	∈	PROPN
iajs-2705	28	14	𝒞	𝒞	PROPN
iajs-2705	28	15	,	,	PUNCT
iajs-2705	28	16	𝑤𝑛+1	𝑤𝑛+1	X
iajs-2705	28	17	=	=	SYM
iajs-2705	28	18	(	(	PUNCT
iajs-2705	28	19	1	1	NUM
iajs-2705	28	20	−	−	NOUN
iajs-2705	28	21	𝓈𝑛)𝑤𝑛	𝓈𝑛)𝑤𝑛	PUNCT
iajs-2705	28	22	+	+	CCONJ
iajs-2705	28	23	𝓈𝑛	𝓈𝑛	ADJ
iajs-2705	28	24	𝒯𝑑𝑛	𝒯𝑑𝑛	PROPN
iajs-2705	28	25	,	,	PUNCT
iajs-2705	28	26	𝑑𝑛	𝑑𝑛	NOUN
iajs-2705	28	27	=	=	SYM
iajs-2705	28	28	(	(	PUNCT
iajs-2705	28	29	1	1	NUM
iajs-2705	28	30	−	−	NOUN
iajs-2705	28	31	𝓉𝑛)𝑤𝑛	𝓉𝑛)𝑤𝑛	PUNCT
iajs-2705	29	1	+	+	CCONJ
iajs-2705	29	2	𝓉𝑛	𝓉𝑛	PROPN
iajs-2705	29	3	𝒯𝑤𝑛	𝒯𝑤𝑛	PROPN
iajs-2705	29	4	,	,	PUNCT
iajs-2705	29	5	𝑛	𝑛	DET
iajs-2705	29	6	∈.	∈.	NOUN
iajs-2705	29	7	5	5	NUM
iajs-2705	29	8	let	let	VERB
iajs-2705	29	9	<	<	X
iajs-2705	29	10	𝓈𝑛	𝓈𝑛	X
iajs-2705	29	11	>	>	X
iajs-2705	29	12	and	and	CCONJ
iajs-2705	29	13	<	<	X
iajs-2705	29	14	𝓉𝑛	𝓉𝑛	X
iajs-2705	29	15	>	>	X
iajs-2705	30	1	are	be	AUX
iajs-2705	30	2	sequences	sequence	NOUN
iajs-2705	30	3	lies	lie	VERB
iajs-2705	30	4	in	in	ADP
iajs-2705	30	5	(	(	PUNCT
iajs-2705	30	6	0,1	0,1	NUM
iajs-2705	30	7	)	)	PUNCT
iajs-2705	30	8	.	.	PUNCT
iajs-2705	31	1	the	the	DET
iajs-2705	31	2	following	follow	VERB
iajs-2705	31	3	iteration	iteration	NOUN
iajs-2705	31	4	is	be	AUX
iajs-2705	31	5	called	call	VERB
iajs-2705	31	6	picard	picard	NOUN
iajs-2705	31	7	𝒮	𝒮	PROPN
iajs-2705	31	8	iteration	iteration	NOUN
iajs-2705	31	9	and	and	CCONJ
iajs-2705	31	10	defined	define	VERB
iajs-2705	31	11	as	as	SCONJ
iajs-2705	31	12	follows	follow	VERB
iajs-2705	31	13	:	:	PUNCT
iajs-2705	31	14	ℎ𝑛	ℎ𝑛	PROPN
iajs-2705	31	15	∈	∈	PROPN
iajs-2705	31	16	𝒞	𝒞	PROPN
iajs-2705	31	17	,	,	PUNCT
iajs-2705	31	18	ℎ𝑛+1	ℎ𝑛+1	NOUN
iajs-2705	31	19	=	=	SYM
iajs-2705	31	20	𝒯𝑙𝑛	𝒯𝑙𝑛	PROPN
iajs-2705	31	21	,	,	PUNCT
iajs-2705	31	22	𝑙𝑛	𝑙𝑛	X
iajs-2705	31	23	=	=	PUNCT
iajs-2705	31	24	(	(	PUNCT
iajs-2705	31	25	1	1	NUM
iajs-2705	31	26	−	−	NOUN
iajs-2705	31	27	𝓈𝑛)𝒯ℎ𝑛	𝓈𝑛)𝒯ℎ𝑛	NOUN
iajs-2705	31	28	+	+	CCONJ
iajs-2705	31	29	𝓈𝑛	𝓈𝑛	ADJ
iajs-2705	31	30	𝒯𝑒𝑛	𝒯𝑒𝑛	PROPN
iajs-2705	31	31	,	,	PUNCT
iajs-2705	31	32	�	�	PROPN
iajs-2705	31	33	̆	̆	NOUN
iajs-2705	31	34	�	�	PROPN
iajs-2705	31	35	𝑛	𝑛	VERB
iajs-2705	31	36	=	=	PUNCT
iajs-2705	31	37	(	(	PUNCT
iajs-2705	31	38	1	1	NUM
iajs-2705	31	39	−	−	NOUN
iajs-2705	31	40	𝓉𝑛)ℎ𝑛	𝓉𝑛)ℎ𝑛	NUM
iajs-2705	32	1	+	+	CCONJ
iajs-2705	32	2	𝓉𝑛	𝓉𝑛	ADJ
iajs-2705	32	3	𝒯ℎ𝑛.	𝒯ℎ𝑛.	PROPN
iajs-2705	32	4	6let	6let	PROPN
iajs-2705	32	5	<	<	X
iajs-2705	32	6	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	32	7	>	>	PUNCT
iajs-2705	32	8	,	,	PUNCT
iajs-2705	32	9	<	<	X
iajs-2705	32	10	𝓉𝑛	𝓉𝑛	X
iajs-2705	32	11	>	>	X
iajs-2705	32	12	and	and	CCONJ
iajs-2705	32	13	<	<	X
iajs-2705	32	14	𝓊𝑛	𝓊𝑛	X
iajs-2705	32	15	>	>	X
iajs-2705	32	16	are	be	AUX
iajs-2705	32	17	sequences	sequence	NOUN
iajs-2705	32	18	in	in	ADP
iajs-2705	32	19	(	(	PUNCT
iajs-2705	32	20	0,1	0,1	NUM
iajs-2705	32	21	)	)	PUNCT
iajs-2705	32	22	.	.	PUNCT
iajs-2705	33	1	the	the	DET
iajs-2705	33	2	following	follow	VERB
iajs-2705	33	3	iteration	iteration	NOUN
iajs-2705	33	4	〈	〈	PROPN
iajs-2705	33	5	𝑞𝑛	𝑞𝑛	NOUN
iajs-2705	33	6	〉	〉	NOUN
iajs-2705	33	7	is	be	AUX
iajs-2705	33	8	called	call	VERB
iajs-2705	33	9	𝒦*-iteration	𝒦*-iteration	PROPN
iajs-2705	33	10	,	,	PUNCT
iajs-2705	33	11	and	and	CCONJ
iajs-2705	33	12	defined	define	VERB
iajs-2705	33	13	as	as	SCONJ
iajs-2705	33	14	follows	follow	VERB
iajs-2705	33	15	:	:	PUNCT
iajs-2705	33	16	𝑞0	𝑞0	PROPN
iajs-2705	33	17	∈	∈	PROPN
iajs-2705	33	18	𝒞	𝒞	PROPN
iajs-2705	33	19	,	,	PUNCT
iajs-2705	33	20	𝑞𝑛+1	𝑞𝑛+1	PROPN
iajs-2705	34	1	=	=	SYM
iajs-2705	34	2	𝒯𝑝𝑛	𝒯𝑝𝑛	PROPN
iajs-2705	34	3	,	,	PUNCT
iajs-2705	34	4	𝑝𝑛	𝑝𝑛	PROPN
iajs-2705	34	5	=	=	SYM
iajs-2705	34	6	𝒯	𝒯	PROPN
iajs-2705	34	7	(	(	PUNCT
iajs-2705	34	8	(	(	PUNCT
iajs-2705	34	9	1	1	NUM
iajs-2705	34	10	−	−	NOUN
iajs-2705	34	11	𝓈𝑛)𝑜𝑛	𝓈𝑛)𝑜𝑛	PRON
iajs-2705	34	12	+	+	CCONJ
iajs-2705	34	13	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	34	14	𝒯𝑜𝑛	𝒯𝑜𝑛	PROPN
iajs-2705	34	15	)	)	PUNCT
iajs-2705	34	16	and	and	CCONJ
iajs-2705	34	17	𝑜𝑛	𝑜𝑛	X
iajs-2705	34	18	=	=	PUNCT
iajs-2705	34	19	(	(	PUNCT
iajs-2705	34	20	1	1	NUM
iajs-2705	34	21	−	−	NUM
iajs-2705	34	22	𝓉𝑛)𝑞𝑛	𝓉𝑛)𝑞𝑛	NOUN
iajs-2705	35	1	+	+	CCONJ
iajs-2705	35	2	𝓉𝑛	𝓉𝑛	ADJ
iajs-2705	35	3	𝒯𝑞𝑛.	𝒯𝑞𝑛.	PROPN
iajs-2705	35	4	7let	7let	PROPN
iajs-2705	35	5	<	<	X
iajs-2705	35	6	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	35	7	>	>	PUNCT
iajs-2705	35	8	,	,	PUNCT
iajs-2705	35	9	<	<	X
iajs-2705	35	10	𝓉𝑛	𝓉𝑛	X
iajs-2705	35	11	>	>	X
iajs-2705	35	12	and	and	CCONJ
iajs-2705	35	13	<	<	X
iajs-2705	35	14	𝓊𝑛	𝓊𝑛	X
iajs-2705	35	15	>	>	X
iajs-2705	35	16	are	be	AUX
iajs-2705	35	17	sequences	sequence	NOUN
iajs-2705	35	18	in	in	ADP
iajs-2705	35	19	(	(	PUNCT
iajs-2705	35	20	0,1	0,1	NUM
iajs-2705	35	21	)	)	PUNCT
iajs-2705	35	22	.	.	PUNCT
iajs-2705	36	1	the	the	DET
iajs-2705	36	2	following	follow	VERB
iajs-2705	36	3	iteration	iteration	NOUN
iajs-2705	36	4	〈	〈	PROPN
iajs-2705	36	5	yn	yn	NOUN
iajs-2705	36	6	〉	〉	NOUN
iajs-2705	36	7	is	be	AUX
iajs-2705	36	8	called	call	VERB
iajs-2705	36	9	noor	noor	PROPN
iajs-2705	36	10	iteration	iteration	NOUN
iajs-2705	36	11	and	and	CCONJ
iajs-2705	36	12	defined	define	VERB
iajs-2705	36	13	as	as	SCONJ
iajs-2705	36	14	follows	follow	VERB
iajs-2705	36	15	:	:	PUNCT
iajs-2705	36	16	𝑦0	𝑦0	NOUN
iajs-2705	36	17	∈	∈	PROPN
iajs-2705	36	18	𝒞	𝒞	PROPN
iajs-2705	36	19	,	,	PUNCT
iajs-2705	36	20	𝑦𝑛+1	𝑦𝑛+1	PROPN
iajs-2705	36	21	=	=	SYM
iajs-2705	36	22	(	(	PUNCT
iajs-2705	36	23	1	1	NUM
iajs-2705	36	24	−	−	NOUN
iajs-2705	36	25	𝓈𝑛)𝑦𝑛	𝓈𝑛)𝑦𝑛	PUNCT
iajs-2705	36	26	+	+	NUM
iajs-2705	36	27	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	36	28	𝒯𝑞𝑛	𝒯𝑞𝑛	PROPN
iajs-2705	36	29	,	,	PUNCT
iajs-2705	36	30	𝑞𝑛	𝑞𝑛	NOUN
iajs-2705	36	31	=	=	PUNCT
iajs-2705	36	32	(	(	PUNCT
iajs-2705	36	33	1	1	NUM
iajs-2705	36	34	−	−	NOUN
iajs-2705	36	35	𝓈𝑛)𝑦𝑛	𝓈𝑛)𝑦𝑛	PUNCT
iajs-2705	36	36	+	+	NUM
iajs-2705	36	37	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	36	38	𝒯𝑝𝑛	𝒯𝑝𝑛	PROPN
iajs-2705	36	39	,	,	PUNCT
iajs-2705	36	40	𝑝𝑛	𝑝𝑛	X
iajs-2705	36	41	=	=	PUNCT
iajs-2705	36	42	(	(	PUNCT
iajs-2705	36	43	1	1	NUM
iajs-2705	36	44	−	−	NOUN
iajs-2705	36	45	𝓊𝑛)𝑦𝑛	𝓊𝑛)𝑦𝑛	PUNCT
iajs-2705	37	1	+	+	CCONJ
iajs-2705	37	2	𝓊𝑛	𝓊𝑛	INTJ
iajs-2705	37	3	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	37	4	,	,	PUNCT
iajs-2705	37	5	n	n	PRON
iajs-2705	37	6	∈	∈	NOUN
iajs-2705	37	7	𝑁.	𝑁.	NOUN
iajs-2705	37	8	definition1.1	definition1.1	NOUN
iajs-2705	37	9	[	[	X
iajs-2705	37	10	16	16	NUM
iajs-2705	37	11	]	]	X
iajs-2705	37	12	:	:	PUNCT
iajs-2705	37	13	let	let	VERB
iajs-2705	37	14	<	<	X
iajs-2705	37	15	𝒱𝑛	𝒱𝑛	PROPN
iajs-2705	37	16	>	>	PUNCT
iajs-2705	37	17	,	,	PUNCT
iajs-2705	37	18	<	<	X
iajs-2705	37	19	𝒰𝑛	𝒰𝑛	PROPN
iajs-2705	37	20	>	>	X
iajs-2705	37	21	are	be	AUX
iajs-2705	37	22	sequences	sequence	NOUN
iajs-2705	37	23	lies	lie	VERB
iajs-2705	37	24	in	in	ADP
iajs-2705	37	25	r	r	NOUN
iajs-2705	37	26	converge	converge	NOUN
iajs-2705	37	27	to	to	ADP
iajs-2705	37	28	𝒱	𝒱	PROPN
iajs-2705	37	29	and	and	CCONJ
iajs-2705	37	30	<	<	AUX
iajs-2705	37	31	𝒰𝑛	𝒰𝑛	PROPN
iajs-2705	37	32	>	>	PUNCT
iajs-2705	37	33	converge	converge	NOUN
iajs-2705	37	34	to	to	ADP
iajs-2705	37	35	𝒰	𝒰	PROPN
iajs-2705	37	36	,	,	PUNCT
iajs-2705	37	37	and	and	CCONJ
iajs-2705	37	38	let	let	VERB
iajs-2705	37	39	<	<	X
iajs-2705	37	40	𝒱𝑛	𝒱𝑛	PROPN
iajs-2705	37	41	>	>	PUNCT
iajs-2705	37	42	such	such	ADJ
iajs-2705	37	43	that	that	SCONJ
iajs-2705	37	44	𝒵	𝒵	PROPN
iajs-2705	37	45	=	=	SYM
iajs-2705	37	46	lim	lim	PROPN
iajs-2705	37	47	𝑛→∞	𝑛→∞	NUM
iajs-2705	37	48	|𝒱𝑛−𝒱|	|𝒱𝑛−𝒱|	NOUN
iajs-2705	37	49	|𝒰𝑛−𝒰|	|𝒰𝑛−𝒰|	NOUN
iajs-2705	38	1	1	1	X
iajs-2705	38	2	.	.	PUNCT
iajs-2705	39	1	if	if	SCONJ
iajs-2705	39	2	𝒵=	𝒵=	PROPN
iajs-2705	39	3	0	0	PROPN
iajs-2705	39	4	.	.	PUNCT
iajs-2705	40	1	then	then	ADV
iajs-2705	40	2	the	the	DET
iajs-2705	40	3	sequence	sequence	NOUN
iajs-2705	40	4	<	<	X
iajs-2705	40	5	𝒱𝑛	𝒱𝑛	PROPN
iajs-2705	40	6	>	>	X
iajs-2705	40	7	is	be	AUX
iajs-2705	40	8	converge	converge	ADJ
iajs-2705	40	9	to	to	ADP
iajs-2705	40	10	𝒱	𝒱	PROPN
iajs-2705	40	11	faster	fast	ADV
iajs-2705	40	12	then	then	ADV
iajs-2705	40	13	<	<	AUX
iajs-2705	40	14	𝒰𝑛	𝒰𝑛	PROPN
iajs-2705	40	15	>	>	PUNCT
iajs-2705	40	16	converge	converge	VERB
iajs-2705	40	17	to	to	ADP
iajs-2705	40	18	𝒰.	𝒰.	PROPN
iajs-2705	40	19	2	2	NUM
iajs-2705	40	20	.	.	PUNCT
iajs-2705	41	1	if	if	SCONJ
iajs-2705	41	2	0	0	NUM
iajs-2705	41	3	≺	≺	NOUN
iajs-2705	41	4	𝒵	𝒵	PROPN
iajs-2705	41	5	≺	≺	NOUN
iajs-2705	41	6	∞	∞	PROPN
iajs-2705	41	7	→	→	SYM
iajs-2705	41	8	<	<	X
iajs-2705	41	9	𝓍𝑛	𝓍𝑛	X
iajs-2705	41	10	>	>	X
iajs-2705	41	11	and	and	CCONJ
iajs-2705	41	12	<	<	X
iajs-2705	41	13	𝒰𝑛	𝒰𝑛	PROPN
iajs-2705	41	14	>	>	PUNCT
iajs-2705	41	15	have	have	VERB
iajs-2705	41	16	the	the	DET
iajs-2705	41	17	same	same	ADJ
iajs-2705	41	18	rate	rate	NOUN
iajs-2705	41	19	of	of	ADP
iajs-2705	41	20	convergence	convergence	NOUN
iajs-2705	41	21	.	.	PUNCT
iajs-2705	42	1	ibn	ibn	PROPN
iajs-2705	42	2	al	al	PROPN
iajs-2705	42	3	-	-	PUNCT
iajs-2705	42	4	haitham	haitham	PROPN
iajs-2705	42	5	jour	jour	X
iajs-2705	42	6	.	.	PROPN
iajs-2705	42	7	for	for	ADP
iajs-2705	42	8	pure	pure	ADJ
iajs-2705	42	9	&	&	CCONJ
iajs-2705	42	10	appl	appl	PROPN
iajs-2705	42	11	.	.	PUNCT
iajs-2705	43	1	sci	sci	PROPN
iajs-2705	43	2	.	.	PROPN
iajs-2705	44	1	34(4)2021	34(4)2021	NUM
iajs-2705	44	2	80	80	NUM
iajs-2705	44	3	lemma	lemma	PROPN
iajs-2705	44	4	1.2	1.2	NUM
iajs-2705	44	5	[	[	X
iajs-2705	44	6	17	17	NUM
iajs-2705	44	7	]	]	PUNCT
iajs-2705	44	8	:	:	PUNCT
iajs-2705	44	9	let	let	VERB
iajs-2705	44	10	ℳ	ℳ	PRON
iajs-2705	44	11	be	be	AUX
iajs-2705	44	12	a	a	DET
iajs-2705	44	13	uniformly	uniformly	ADV
iajs-2705	44	14	convex	convex	NOUN
iajs-2705	44	15	banach	banach	NOUN
iajs-2705	44	16	space	space	NOUN
iajs-2705	44	17	and	and	CCONJ
iajs-2705	44	18	〈	〈	NOUN
iajs-2705	44	19	ℐ𝑛〉𝑛=0	ℐ𝑛〉𝑛=0	PROPN
iajs-2705	44	20	∞	∞	PROPN
iajs-2705	44	21	be	be	VERB
iajs-2705	44	22	any	any	DET
iajs-2705	44	23	sequence	sequence	NOUN
iajs-2705	44	24	such	such	ADJ
iajs-2705	44	25	that	that	SCONJ
iajs-2705	44	26	0	0	NUM
iajs-2705	44	27	<	<	X
iajs-2705	44	28	𝓅	𝓅	X
iajs-2705	44	29	≤	≤	PUNCT
iajs-2705	45	1	ℐ𝑛	ℐ𝑛	PUNCT
iajs-2705	45	2	≤	≤	NOUN
iajs-2705	45	3	𝓇	𝓇	ADP
iajs-2705	45	4	<	<	X
iajs-2705	45	5	1	1	NUM
iajs-2705	45	6	,	,	PUNCT
iajs-2705	45	7	for	for	ADP
iajs-2705	45	8	some	some	DET
iajs-2705	45	9	𝓅	𝓅	NOUN
iajs-2705	45	10	,	,	PUNCT
iajs-2705	45	11	𝓇	𝓇	PROPN
iajs-2705	45	12	∈	∈	PROPN
iajs-2705	45	13	𝑅	𝑅	PROPN
iajs-2705	45	14	and	and	CCONJ
iajs-2705	45	15	for	for	ADP
iajs-2705	45	16	all	all	DET
iajs-2705	45	17	𝑛	𝑛	PRON
iajs-2705	45	18	≥	≥	NUM
iajs-2705	45	19	1	1	NUM
iajs-2705	45	20	,	,	PUNCT
iajs-2705	45	21	let	let	VERB
iajs-2705	45	22	〈	〈	ADP
iajs-2705	45	23	𝒱𝑛〉𝑛=0	𝒱𝑛〉𝑛=0	NOUN
iajs-2705	45	24	∞	∞	PROPN
iajs-2705	45	25	and	and	CCONJ
iajs-2705	45	26	〈	〈	NOUN
iajs-2705	45	27	𝒰𝑛〉𝑛=0	𝒰𝑛〉𝑛=0	NOUN
iajs-2705	45	28	∞	∞	PROPN
iajs-2705	45	29	,	,	PUNCT
iajs-2705	45	30	be	be	AUX
iajs-2705	45	31	a	a	DET
iajs-2705	45	32	nonnegative	nonnegative	ADJ
iajs-2705	45	33	real	real	ADJ
iajs-2705	45	34	sequences	sequence	NOUN
iajs-2705	45	35	of	of	ADP
iajs-2705	45	36	ℳ	ℳ	PROPN
iajs-2705	45	37	such	such	ADJ
iajs-2705	45	38	that	that	SCONJ
iajs-2705	45	39	lim	lim	PROPN
iajs-2705	45	40	𝑛→∞	𝑛→∞	NUM
iajs-2705	45	41	𝑠𝑢𝑝	𝑠𝑢𝑝	NOUN
iajs-2705	45	42	║	║	VERB
iajs-2705	45	43	𝒱𝑛	𝒱𝑛	NOUN
iajs-2705	45	44	║	║	NOUN
iajs-2705	45	45	≤	≤	NOUN
iajs-2705	45	46	𝓇	𝓇	NOUN
iajs-2705	45	47	,	,	PUNCT
iajs-2705	45	48	lim	lim	NOUN
iajs-2705	45	49	𝑛→∞	𝑛→∞	NUM
iajs-2705	45	50	𝑠𝑢𝑝	𝑠𝑢𝑝	NOUN
iajs-2705	45	51	║	║	NOUN
iajs-2705	45	52	𝒰𝑛	𝒰𝑛	ADP
iajs-2705	45	53	║	║	NOUN
iajs-2705	45	54	≤	≤	NOUN
iajs-2705	45	55	𝓇	𝓇	ADP
iajs-2705	45	56	and	and	CCONJ
iajs-2705	45	57	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	45	58	𝑛→∞	𝑛→∞	NOUN
iajs-2705	45	59	║	║	NOUN
iajs-2705	45	60	ℐ𝑛	ℐ𝑛	ADP
iajs-2705	45	61	𝒱𝑛	𝒱𝑛	NOUN
iajs-2705	45	62	–	–	PUNCT
iajs-2705	45	63	(	(	PUNCT
iajs-2705	45	64	1	1	NUM
iajs-2705	45	65	−	−	PROPN
iajs-2705	45	66	ℐ𝑛	ℐ𝑛	PROPN
iajs-2705	45	67	)	)	PUNCT
iajs-2705	45	68	𝒰𝑛	𝒰𝑛	PROPN
iajs-2705	45	69	║	║	NOUN
iajs-2705	45	70	=	=	PUNCT
iajs-2705	45	71	𝑟	𝑟	NOUN
iajs-2705	45	72	for	for	ADP
iajs-2705	45	73	some	some	DET
iajs-2705	45	74	𝓇	𝓇	NOUN
iajs-2705	45	75	≥	≥	NOUN
iajs-2705	45	76	0	0	NUM
iajs-2705	45	77	.	.	PUNCT
iajs-2705	46	1	then	then	ADV
iajs-2705	46	2	,	,	PUNCT
iajs-2705	46	3	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	46	4	𝑛→∞	𝑛→∞	NOUN
iajs-2705	46	5	║	║	NOUN
iajs-2705	46	6	𝒱𝑛	𝒱𝑛	NOUN
iajs-2705	46	7	–	–	PUNCT
iajs-2705	46	8	𝒰𝑛	𝒰𝑛	ADJ
iajs-2705	46	9	║	║	NOUN
iajs-2705	46	10	=	=	SYM
iajs-2705	46	11	0	0	X
iajs-2705	46	12	.	.	PUNCT
iajs-2705	47	1	lemma	lemma	PROPN
iajs-2705	47	2	1.3	1.3	NUM
iajs-2705	48	1	[	[	X
iajs-2705	48	2	18	18	NUM
iajs-2705	48	3	]	]	X
iajs-2705	48	4	:	:	PUNCT
iajs-2705	48	5	let	let	VERB
iajs-2705	48	6	〈	〈	PROPN
iajs-2705	48	7	𝒱𝑛〉𝑛=0	𝒱𝑛〉𝑛=0	NOUN
iajs-2705	48	8	∞	∞	PROPN
iajs-2705	48	9	and	and	CCONJ
iajs-2705	48	10	〈	〈	NOUN
iajs-2705	48	11	𝒰𝑛〉𝑛=0	𝒰𝑛〉𝑛=0	NOUN
iajs-2705	48	12	∞	∞	NUM
iajs-2705	48	13	be	be	VERB
iajs-2705	48	14	nonnegative	nonnegative	ADJ
iajs-2705	48	15	real	real	ADJ
iajs-2705	48	16	sequences	sequence	NOUN
iajs-2705	48	17	satisfying	satisfy	VERB
iajs-2705	48	18	the	the	DET
iajs-2705	48	19	following	follow	VERB
iajs-2705	48	20	condition	condition	NOUN
iajs-2705	48	21	:	:	PUNCT
iajs-2705	48	22	𝒱𝑛+1	𝒱𝑛+1	X
iajs-2705	48	23	≤	≤	X
iajs-2705	48	24	(	(	PUNCT
iajs-2705	48	25	1	1	NUM
iajs-2705	48	26	−	−	NOUN
iajs-2705	48	27			NOUN
iajs-2705	48	28	𝑛)𝒱𝑛	𝑛)𝒱𝑛	VERB
iajs-2705	48	29	+	+	X
iajs-2705	49	1	𝒰𝑛	𝒰𝑛	ADJ
iajs-2705	49	2	,	,	PUNCT
iajs-2705	49	3	where	where	SCONJ
iajs-2705	49	4			NOUN
iajs-2705	49	5	𝑛	𝑛	PRON
iajs-2705	49	6			NOUN
iajs-2705	49	7	(	(	PUNCT
iajs-2705	49	8	0,1	0,1	NOUN
iajs-2705	49	9	)	)	PUNCT
iajs-2705	49	10	,	,	PUNCT
iajs-2705	49	11	for	for	ADP
iajs-2705	49	12	all	all	DET
iajs-2705	49	13	𝑛	𝑛	DET
iajs-2705	49	14	≥	≥	NOUN
iajs-2705	49	15	𝑛0	𝑛0	VERB
iajs-2705	49	16	,	,	PUNCT
iajs-2705	49	17	∑	∑	ADP
iajs-2705	49	18			NOUN
iajs-2705	49	19	𝑛	𝑛	NOUN
iajs-2705	49	20	=	=	PUNCT
iajs-2705	49	21	∞∞	∞∞	NOUN
iajs-2705	49	22	𝑛=1	𝑛=1	NOUN
iajs-2705	49	23	and	and	CCONJ
iajs-2705	49	24	𝒰𝑛	𝒰𝑛	ADP
iajs-2705	49	25	𝑛	𝑛	PROPN
iajs-2705	49	26			NOUN
iajs-2705	49	27	0	0	NUM
iajs-2705	50	1	as	as	ADP
iajs-2705	50	2	n	n	NOUN
iajs-2705	50	3			NOUN
iajs-2705	50	4	.	.	PROPN
iajs-2705	50	5	then	then	ADV
iajs-2705	50	6	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	50	7	𝑛→∞	𝑛→∞	NOUN
iajs-2705	51	1	𝒱𝑛	𝒱𝑛	PROPN
iajs-2705	51	2	=	=	SYM
iajs-2705	51	3	0	0	NUM
iajs-2705	51	4	.	.	NOUN
iajs-2705	51	5	2	2	NUM
iajs-2705	51	6	.	.	X
iajs-2705	51	7	main	main	ADJ
iajs-2705	51	8	results	result	NOUN
iajs-2705	51	9	in	in	ADP
iajs-2705	51	10	this	this	DET
iajs-2705	51	11	section	section	NOUN
iajs-2705	51	12	,	,	PUNCT
iajs-2705	51	13	we	we	PRON
iajs-2705	51	14	introduced	introduce	VERB
iajs-2705	51	15	a	a	DET
iajs-2705	51	16	new	new	ADJ
iajs-2705	51	17	iteration	iteration	NOUN
iajs-2705	51	18	process	process	NOUN
iajs-2705	51	19	known	know	VERB
iajs-2705	51	20	as	as	ADP
iajs-2705	51	21	zenali	zenali	VERB
iajs-2705	51	22	iteration	iteration	NOUN
iajs-2705	51	23	and	and	CCONJ
iajs-2705	51	24	new	new	ADJ
iajs-2705	51	25	contraction	contraction	NOUN
iajs-2705	51	26	mappings	mapping	NOUN
iajs-2705	51	27	called	call	VERB
iajs-2705	51	28	a	a	DET
iajs-2705	51	29	𝛿𝒵𝒜	𝛿𝒵𝒜	NOUN
iajs-2705	51	30	−	−	PROPN
iajs-2705	51	31	quasi	quasi	ADJ
iajs-2705	51	32	contraction	contraction	NOUN
iajs-2705	51	33	mappings	mapping	NOUN
iajs-2705	51	34	.	.	PUNCT
iajs-2705	52	1	definition	definition	NOUN
iajs-2705	52	2	2.1	2.1	NUM
iajs-2705	52	3	:	:	PUNCT
iajs-2705	52	4	let	let	VERB
iajs-2705	52	5	<	<	X
iajs-2705	52	6	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	52	7	>	>	X
iajs-2705	52	8	,	,	PUNCT
iajs-2705	52	9	<	<	X
iajs-2705	52	10	𝓉𝑛	𝓉𝑛	X
iajs-2705	52	11	>	>	X
iajs-2705	52	12	and	and	CCONJ
iajs-2705	52	13	<	<	AUX
iajs-2705	52	14	𝓊𝑛	𝓊𝑛	X
iajs-2705	52	15	>	>	X
iajs-2705	52	16	are	be	AUX
iajs-2705	52	17	sequences	sequence	NOUN
iajs-2705	52	18	in	in	ADP
iajs-2705	52	19	(	(	PUNCT
iajs-2705	52	20	0,1	0,1	NUM
iajs-2705	52	21	)	)	PUNCT
iajs-2705	52	22	and	and	CCONJ
iajs-2705	52	23	𝒯	𝒯	PROPN
iajs-2705	52	24	:	:	PUNCT
iajs-2705	52	25	𝒞	𝒞	PROPN
iajs-2705	52	26	→	→	PUNCT
iajs-2705	52	27	𝒞.	𝒞.	PROPN
iajs-2705	52	28	the	the	DET
iajs-2705	52	29	following	follow	VERB
iajs-2705	52	30	iteration	iteration	NOUN
iajs-2705	52	31	is	be	AUX
iajs-2705	52	32	called	call	VERB
iajs-2705	52	33	zenali	zenali	ADJ
iajs-2705	52	34	iteration	iteration	NOUN
iajs-2705	52	35	and	and	CCONJ
iajs-2705	52	36	defined	define	VERB
iajs-2705	52	37	as	as	SCONJ
iajs-2705	52	38	follows	follow	VERB
iajs-2705	52	39	𝑥0	𝑥0	PROPN
iajs-2705	52	40	∈	∈	PROPN
iajs-2705	52	41	𝒞	𝒞	NOUN
iajs-2705	52	42	,	,	PUNCT
iajs-2705	52	43	𝑥𝑛+1	𝑥𝑛+1	PROPN
iajs-2705	53	1	=	=	SYM
iajs-2705	53	2	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	53	3	𝑦𝑛	𝑦𝑛	AUX
iajs-2705	53	4	=	=	SYM
iajs-2705	53	5	𝒯	𝒯	PROPN
iajs-2705	53	6	(	(	PUNCT
iajs-2705	53	7	(	(	PUNCT
iajs-2705	53	8	1	1	NUM
iajs-2705	53	9	−	−	NOUN
iajs-2705	53	10	𝓈𝑛)𝑧𝑛	𝓈𝑛)𝑧𝑛	SYM
iajs-2705	53	11	+	+	NUM
iajs-2705	53	12	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	53	13	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	53	14	)	)	PUNCT
iajs-2705	53	15	,	,	PUNCT
iajs-2705	53	16	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	53	17	=	=	SYM
iajs-2705	53	18	𝒯	𝒯	PROPN
iajs-2705	53	19	(	(	PUNCT
iajs-2705	53	20	(	(	PUNCT
iajs-2705	53	21	1	1	NUM
iajs-2705	53	22	−	−	NOUN
iajs-2705	53	23	𝓉𝑛)𝑥𝑛	𝓉𝑛)𝑥𝑛	PUNCT
iajs-2705	53	24	+	+	CCONJ
iajs-2705	53	25	𝓉𝑛	𝓉𝑛	ADJ
iajs-2705	53	26	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	53	27	)	)	PUNCT
iajs-2705	53	28	.	.	PUNCT
iajs-2705	54	1	definition	definition	NOUN
iajs-2705	54	2	2.2	2.2	NUM
iajs-2705	54	3	:	:	PUNCT
iajs-2705	54	4	let	let	VERB
iajs-2705	54	5	𝒯	𝒯	PROPN
iajs-2705	54	6	be	be	AUX
iajs-2705	54	7	a	a	DET
iajs-2705	54	8	self	self	NOUN
iajs-2705	54	9	mapping	mapping	NOUN
iajs-2705	54	10	on	on	ADP
iajs-2705	54	11	𝒞	𝒞	PROPN
iajs-2705	54	12	,	,	PUNCT
iajs-2705	54	13	then	then	ADV
iajs-2705	54	14	𝒯	𝒯	PROPN
iajs-2705	54	15	called	call	VERB
iajs-2705	54	16	a	a	DET
iajs-2705	54	17	𝛿𝒵𝒜	𝛿𝒵𝒜	NOUN
iajs-2705	54	18	−	−	PROPN
iajs-2705	54	19	quasi	quasi	ADJ
iajs-2705	54	20	contraction	contraction	NOUN
iajs-2705	54	21	for	for	ADP
iajs-2705	54	22	all	all	DET
iajs-2705	54	23	𝓍	𝓍	ADJ
iajs-2705	54	24	,	,	PUNCT
iajs-2705	54	25	𝓎	𝓎	X
iajs-2705	54	26	∈	∈	PROPN
iajs-2705	54	27	𝒞	𝒞	PROPN
iajs-2705	54	28	,	,	PUNCT
iajs-2705	54	29	if	if	SCONJ
iajs-2705	54	30	||	||	PUNCT
iajs-2705	55	1	𝒯𝓍	𝒯𝓍	PROPN
iajs-2705	55	2	–	–	PUNCT
iajs-2705	56	1	𝒯𝓎	𝒯𝓎	PROPN
iajs-2705	56	2	||	||	NOUN
iajs-2705	56	3	≤	≤	NUM
iajs-2705	56	4	𝛿||	𝛿||	PRON
iajs-2705	56	5	𝓍	𝓍	NOUN
iajs-2705	56	6	–	–	PUNCT
iajs-2705	56	7	𝓎	𝓎	X
iajs-2705	56	8	||	||	NOUN
iajs-2705	57	1	+	+	CCONJ
iajs-2705	57	2	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	57	3	(	(	PUNCT
iajs-2705	57	4	𝓃𝓍	𝓃𝓍	NOUN
iajs-2705	57	5	,	,	PUNCT
iajs-2705	57	6	𝓂𝓎	𝓂𝓎	PROPN
iajs-2705	57	7	)	)	PUNCT
iajs-2705	57	8	where	where	SCONJ
iajs-2705	57	9	𝒜(𝓃𝓍	𝒜(𝓃𝓍	PROPN
iajs-2705	57	10	,	,	PUNCT
iajs-2705	57	11	𝓂𝓎	𝓂𝓎	PROPN
iajs-2705	57	12	)	)	PUNCT
iajs-2705	57	13	=	=	SYM
iajs-2705	57	14	𝑚𝑖𝑛	𝑚𝑖𝑛	NOUN
iajs-2705	57	15	{	{	PUNCT
iajs-2705	57	16	𝓃	𝓃	NOUN
iajs-2705	57	17	║	║	PROPN
iajs-2705	57	18	𝓍	𝓍	DET
iajs-2705	57	19	−	−	PUNCT
iajs-2705	57	20	𝒯𝓍	𝒯𝓍	PROPN
iajs-2705	57	21	║	║	PROPN
iajs-2705	57	22	,	,	PUNCT
iajs-2705	57	23	𝓂	𝓂	NOUN
iajs-2705	57	24	║	║	PROPN
iajs-2705	57	25	𝓎	𝓎	PRON
iajs-2705	57	26	−	−	ADP
iajs-2705	57	27	𝒯𝓎	𝒯𝓎	PROPN
iajs-2705	57	28	║	║	NOUN
iajs-2705	57	29	,	,	PUNCT
iajs-2705	57	30	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	57	31	║	║	NOUN
iajs-2705	57	32	𝓍	𝓍	DET
iajs-2705	57	33	−	−	ADP
iajs-2705	57	34	𝒯𝓎	𝒯𝓎	PROPN
iajs-2705	57	35	║	║	NOUN
iajs-2705	57	36	,	,	PUNCT
iajs-2705	57	37	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	57	38	║	║	NOUN
iajs-2705	57	39	𝓎	𝓎	DET
iajs-2705	57	40	−	−	PUNCT
iajs-2705	57	41	𝒯𝓍	𝒯𝓍	PROPN
iajs-2705	57	42	║	║	NOUN
iajs-2705	57	43	}	}	PUNCT
iajs-2705	57	44	for	for	ADP
iajs-2705	57	45	some	some	PRON
iajs-2705	57	46	0	0	NUM
iajs-2705	57	47	<	<	X
iajs-2705	57	48	𝛿	𝛿	PROPN
iajs-2705	57	49	≤	≤	ADJ
iajs-2705	57	50	1	1	NUM
iajs-2705	57	51	,	,	PUNCT
iajs-2705	57	52	𝒵	𝒵	PRON
iajs-2705	57	53	≥	≥	NOUN
iajs-2705	57	54	0	0	NUM
iajs-2705	57	55	and	and	CCONJ
iajs-2705	57	56	𝓃	𝓃	NOUN
iajs-2705	57	57	,	,	PUNCT
iajs-2705	57	58	𝓂	𝓂	PROPN
iajs-2705	57	59	≥	≥	NOUN
iajs-2705	57	60	0	0	NUM
iajs-2705	57	61	.	.	PUNCT
iajs-2705	58	1	lemma	lemma	PROPN
iajs-2705	58	2	2.3	2.3	NUM
iajs-2705	58	3	:	:	PUNCT
iajs-2705	58	4	let	let	VERB
iajs-2705	58	5	𝒞	𝒞	PRON
iajs-2705	58	6	be	be	AUX
iajs-2705	58	7	a	a	DET
iajs-2705	58	8	nonempty	nonempty	ADJ
iajs-2705	58	9	convex	convex	NOUN
iajs-2705	58	10	and	and	CCONJ
iajs-2705	58	11	closed	closed	ADJ
iajs-2705	58	12	subset	subset	NOUN
iajs-2705	58	13	of	of	ADP
iajs-2705	58	14	a	a	DET
iajs-2705	58	15	banach	banach	NOUN
iajs-2705	58	16	space	space	NOUN
iajs-2705	58	17	ℳ	ℳ	NOUN
iajs-2705	58	18	and	and	CCONJ
iajs-2705	58	19	let	let	VERB
iajs-2705	58	20	𝒯	𝒯	PROPN
iajs-2705	58	21	:	:	PUNCT
iajs-2705	58	22	𝒞	𝒞	PROPN
iajs-2705	58	23	→	→	PUNCT
iajs-2705	58	24	𝒞	𝒞	PROPN
iajs-2705	58	25	a	a	DET
iajs-2705	58	26	𝛿𝒵𝒜	𝛿𝒵𝒜	NOUN
iajs-2705	58	27	−	−	PROPN
iajs-2705	58	28	quasi	quasi	ADJ
iajs-2705	58	29	contraction	contraction	NOUN
iajs-2705	58	30	mapping	mapping	NOUN
iajs-2705	58	31	.	.	PUNCT
iajs-2705	59	1	suppose	suppose	VERB
iajs-2705	59	2	that	that	SCONJ
iajs-2705	59	3	〈	〈	PROPN
iajs-2705	59	4	𝑥𝑛	𝑥𝑛	VERB
iajs-2705	59	5	〉	〉	NOUN
iajs-2705	59	6	the	the	DET
iajs-2705	59	7	zenali	zenali	VERB
iajs-2705	59	8	iteration	iteration	NOUN
iajs-2705	59	9	in	in	ADP
iajs-2705	59	10	𝒞.	𝒞.	PROPN
iajs-2705	59	11	if	if	SCONJ
iajs-2705	59	12	ℱ(𝒯	ℱ(𝒯	ADJ
iajs-2705	59	13	)	)	PUNCT
iajs-2705	59	14	≠	≠	PROPN
iajs-2705	59	15	∅	∅	NOUN
iajs-2705	59	16	,	,	PUNCT
iajs-2705	59	17	then	then	ADV
iajs-2705	59	18	1	1	NUM
iajs-2705	59	19	║	║	NOUN
iajs-2705	59	20	𝑧𝑛	𝑧𝑛	PROPN
iajs-2705	59	21	–	–	PUNCT
iajs-2705	59	22	𝓅	𝓅	NOUN
iajs-2705	59	23	║	║	NOUN
iajs-2705	59	24	≤	≤	PUNCT
iajs-2705	59	25	║	║	NOUN
iajs-2705	59	26	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	59	27	–	–	PUNCT
iajs-2705	59	28	𝓅	𝓅	NOUN
iajs-2705	59	29	║	║	NOUN
iajs-2705	59	30	and	and	CCONJ
iajs-2705	59	31	║	║	NOUN
iajs-2705	59	32	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	59	33	–	–	PUNCT
iajs-2705	59	34	𝓅	𝓅	NOUN
iajs-2705	59	35	║	║	NOUN
iajs-2705	59	36	≤	≤	PUNCT
iajs-2705	59	37	║	║	NOUN
iajs-2705	59	38	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	59	39	–	–	PUNCT
iajs-2705	59	40	𝓅	𝓅	NOUN
iajs-2705	59	41	║	║	NOUN
iajs-2705	59	42	.	.	PUNCT
iajs-2705	60	1	2𝑙𝑖𝑚	2𝑙𝑖𝑚	NUM
iajs-2705	60	2	𝑛→∞	𝑛→∞	NUM
iajs-2705	60	3	║	║	VERB
iajs-2705	60	4	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	60	5	–	–	PUNCT
iajs-2705	60	6	𝓅	𝓅	NOUN
iajs-2705	60	7	║	║	NOUN
iajs-2705	60	8	exists	exist	VERB
iajs-2705	60	9	,	,	PUNCT
iajs-2705	60	10	for	for	ADP
iajs-2705	60	11	all	all	DET
iajs-2705	60	12	n	n	PRON
iajs-2705	60	13	∈	∈	NOUN
iajs-2705	60	14	n.	n.	NOUN
iajs-2705	60	15	proof	proof	NOUN
iajs-2705	60	16	.	.	PUNCT
iajs-2705	61	1	let	let	VERB
iajs-2705	61	2	𝓅	𝓅	PART
iajs-2705	61	3	be	be	AUX
iajs-2705	61	4	a	a	DET
iajs-2705	61	5	fixed	fixed	ADJ
iajs-2705	61	6	point	point	NOUN
iajs-2705	61	7	of	of	ADP
iajs-2705	61	8	𝒯.	𝒯.	PROPN
iajs-2705	61	9	then	then	ADV
iajs-2705	61	10	the	the	DET
iajs-2705	61	11	following	follow	VERB
iajs-2705	61	12	inequalities	inequality	NOUN
iajs-2705	61	13	hold	hold	VERB
iajs-2705	61	14	║	║	NOUN
iajs-2705	61	15	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	61	16	–	–	PUNCT
iajs-2705	61	17	𝓅	𝓅	NOUN
iajs-2705	61	18	║	║	NOUN
iajs-2705	61	19	=	=	PUNCT
iajs-2705	62	1	║	║	VERB
iajs-2705	62	2	𝒯[(1	𝒯[(1	ADJ
iajs-2705	62	3	−	−	NOUN
iajs-2705	62	4	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	62	5	)	)	PUNCT
iajs-2705	62	6	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	62	7	−	−	NOUN
iajs-2705	62	8	𝓉𝑛	𝓉𝑛	ADJ
iajs-2705	62	9	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	62	10	]	]	PUNCT
iajs-2705	62	11	–	–	PUNCT
iajs-2705	62	12	𝓅	𝓅	X
iajs-2705	62	13	║	║	NOUN
iajs-2705	62	14	≤	≤	PUNCT
iajs-2705	62	15	𝛿	𝛿	PRON
iajs-2705	62	16	║	║	NOUN
iajs-2705	62	17	(1	(1	NOUN
iajs-2705	62	18	−	−	NOUN
iajs-2705	62	19	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	62	20	)	)	PUNCT
iajs-2705	62	21	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	62	22	−	−	PROPN
iajs-2705	62	23	𝓉𝑛	𝓉𝑛	ADJ
iajs-2705	62	24	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	62	25	–	–	PUNCT
iajs-2705	62	26	𝓅	𝓅	NOUN
iajs-2705	62	27	║	║	NOUN
iajs-2705	62	28	+	+	CCONJ
iajs-2705	62	29	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	62	30	(	(	PUNCT
iajs-2705	62	31	𝓃[(1	𝓃[(1	PROPN
iajs-2705	62	32	−	−	PROPN
iajs-2705	62	33	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	62	34	)	)	PUNCT
iajs-2705	62	35	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	62	36	−	−	NOUN
iajs-2705	62	37	𝓉𝑛	𝓉𝑛	ADJ
iajs-2705	62	38	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	62	39	]	]	PUNCT
iajs-2705	62	40	,	,	PUNCT
iajs-2705	62	41	𝓂	𝓂	NOUN
iajs-2705	62	42	𝓅	𝓅	PROPN
iajs-2705	62	43	)	)	PUNCT
iajs-2705	62	44	.	.	PUNCT
iajs-2705	63	1	since	since	SCONJ
iajs-2705	63	2	║	║	PROPN
iajs-2705	63	3	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	63	4	–	–	PUNCT
iajs-2705	63	5	𝓅	𝓅	NOUN
iajs-2705	63	6	║	║	NOUN
iajs-2705	63	7	→	→	SYM
iajs-2705	63	8	0	0	NUM
iajs-2705	63	9	as	as	ADP
iajs-2705	63	10	𝑛	𝑛	PROPN
iajs-2705	63	11	→	→	SYM
iajs-2705	63	12	∞	∞	PROPN
iajs-2705	63	13	then	then	ADV
iajs-2705	63	14	,	,	PUNCT
iajs-2705	63	15	𝒵𝒜	𝒵𝒜	PROPN
iajs-2705	63	16	(	(	PUNCT
iajs-2705	63	17	𝓃[(1	𝓃[(1	PROPN
iajs-2705	63	18	−	−	PROPN
iajs-2705	63	19	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	63	20	)	)	PUNCT
iajs-2705	63	21	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	63	22	−	−	NOUN
iajs-2705	63	23	𝓉𝑛	𝓉𝑛	ADJ
iajs-2705	63	24	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	63	25	]	]	PUNCT
iajs-2705	63	26	,	,	PUNCT
iajs-2705	63	27	𝓂	𝓂	NOUN
iajs-2705	63	28	𝓅	𝓅	NOUN
iajs-2705	63	29	)	)	PUNCT
iajs-2705	63	30	=	=	SYM
iajs-2705	63	31	0	0	PUNCT
iajs-2705	63	32	║	║	NOUN
iajs-2705	63	33	𝑧𝑛	𝑧𝑛	PROPN
iajs-2705	63	34	–	–	PUNCT
iajs-2705	63	35	𝓅	𝓅	NOUN
iajs-2705	63	36	║	║	PUNCT
iajs-2705	63	37	≤	≤	NOUN
iajs-2705	63	38	(	(	PUNCT
iajs-2705	63	39	1	1	NUM
iajs-2705	63	40	−	−	NOUN
iajs-2705	63	41	𝓉𝑛)	𝓉𝑛)	NOUN
iajs-2705	63	42	║	║	VERB
iajs-2705	63	43	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	63	44	–	–	PUNCT
iajs-2705	63	45	𝓅	𝓅	NOUN
iajs-2705	63	46	║	║	NOUN
iajs-2705	63	47	+	+	NUM
iajs-2705	63	48	𝛿𝓉𝑛	𝛿𝓉𝑛	NOUN
iajs-2705	63	49	║	║	NOUN
iajs-2705	63	50	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	63	51	–	–	PUNCT
iajs-2705	63	52	𝓅	𝓅	NOUN
iajs-2705	63	53	║	║	NOUN
iajs-2705	63	54	+	+	CCONJ
iajs-2705	63	55	𝓉𝑛𝒵𝒜	𝓉𝑛𝒵𝒜	ADP
iajs-2705	63	56	(	(	PUNCT
iajs-2705	63	57	𝓃𝑥𝑛	𝓃𝑥𝑛	PROPN
iajs-2705	63	58	,	,	PUNCT
iajs-2705	63	59	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	63	60	)	)	PUNCT
iajs-2705	63	61	ibn	ibn	PROPN
iajs-2705	63	62	al	al	PROPN
iajs-2705	63	63	-	-	PUNCT
iajs-2705	63	64	haitham	haitham	PROPN
iajs-2705	63	65	jour	jour	X
iajs-2705	63	66	.	.	PROPN
iajs-2705	64	1	for	for	ADP
iajs-2705	64	2	pure	pure	ADJ
iajs-2705	64	3	&	&	CCONJ
iajs-2705	64	4	appl	appl	PROPN
iajs-2705	64	5	.	.	PUNCT
iajs-2705	65	1	sci	sci	PROPN
iajs-2705	65	2	.	.	PROPN
iajs-2705	66	1	34(4)2021	34(4)2021	NUM
iajs-2705	66	2	81	81	NUM
iajs-2705	66	3	≤	≤	NOUN
iajs-2705	66	4	(	(	PUNCT
iajs-2705	66	5	1	1	NUM
iajs-2705	66	6	−	−	PROPN
iajs-2705	66	7	𝓉𝑛(1	𝓉𝑛(1	PROPN
iajs-2705	66	8	−	−	PROPN
iajs-2705	66	9	𝛿))	𝛿))	NOUN
iajs-2705	66	10	║	║	NOUN
iajs-2705	66	11	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	66	12	–	–	PUNCT
iajs-2705	66	13	𝓅	𝓅	NOUN
iajs-2705	66	14	║	║	NOUN
iajs-2705	66	15	+	+	CCONJ
iajs-2705	66	16	𝒵	𝒵	PROPN
iajs-2705	66	17	𝑚𝑖𝑛	𝑚𝑖𝑛	NOUN
iajs-2705	66	18	{	{	PUNCT
iajs-2705	66	19	𝓃	𝓃	NOUN
iajs-2705	66	20	║	║	PROPN
iajs-2705	66	21	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	66	22	–	–	PUNCT
iajs-2705	66	23	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	66	24	║	║	NOUN
iajs-2705	66	25	,	,	PUNCT
iajs-2705	66	26	𝓂	𝓂	NOUN
iajs-2705	66	27	║	║	NOUN
iajs-2705	66	28	𝓅	𝓅	X
iajs-2705	66	29	−	−	PROPN
iajs-2705	66	30	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	66	31	║	║	PROPN
iajs-2705	66	32	,	,	PUNCT
iajs-2705	66	33	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	66	34	║	║	NOUN
iajs-2705	66	35	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	66	36	−	−	PROPN
iajs-2705	66	37	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	66	38	║	║	PROPN
iajs-2705	66	39	,	,	PUNCT
iajs-2705	66	40	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	66	41	║	║	NOUN
iajs-2705	66	42	𝓅	𝓅	NOUN
iajs-2705	66	43	−	−	PROPN
iajs-2705	66	44	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	66	45	║	║	NOUN
iajs-2705	66	46	}	}	PUNCT
iajs-2705	66	47	║	║	NOUN
iajs-2705	66	48	𝑧𝑛	𝑧𝑛	PROPN
iajs-2705	66	49	–	–	PUNCT
iajs-2705	66	50	𝓅	𝓅	NOUN
iajs-2705	66	51	║	║	NOUN
iajs-2705	66	52	≤	≤	PUNCT
iajs-2705	66	53	║	║	NOUN
iajs-2705	66	54	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	66	55	–	–	PUNCT
iajs-2705	66	56	𝓅	𝓅	NOUN
iajs-2705	66	57	║	║	NOUN
iajs-2705	66	58	(	(	PUNCT
iajs-2705	66	59	2.1	2.1	NUM
iajs-2705	66	60	)	)	PUNCT
iajs-2705	66	61	and	and	CCONJ
iajs-2705	66	62	,	,	PUNCT
iajs-2705	66	63	║	║	NOUN
iajs-2705	66	64	𝑦𝑛	𝑦𝑛	ADP
iajs-2705	66	65	−	−	PROPN
iajs-2705	66	66	𝑝	𝑝	NOUN
iajs-2705	66	67	║	║	NOUN
iajs-2705	66	68	=	=	PUNCT
iajs-2705	67	1	║	║	VERB
iajs-2705	67	2	𝒯[(1	𝒯[(1	ADJ
iajs-2705	67	3	−	−	PROPN
iajs-2705	67	4	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	67	5	)	)	PUNCT
iajs-2705	67	6	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	67	7	+	+	CCONJ
iajs-2705	67	8	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	67	9	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	67	10	]	]	PUNCT
iajs-2705	67	11	−	−	PROPN
iajs-2705	67	12	𝑝	𝑝	NOUN
iajs-2705	67	13	║	║	NOUN
iajs-2705	67	14	≤	≤	NOUN
iajs-2705	67	15	𝛿	𝛿	DET
iajs-2705	67	16	║	║	NOUN
iajs-2705	67	17	(	(	PUNCT
iajs-2705	67	18	1	1	NUM
iajs-2705	67	19	−	−	PROPN
iajs-2705	67	20	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	67	21	)	)	PUNCT
iajs-2705	67	22	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	67	23	+	+	CCONJ
iajs-2705	68	1	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	68	2	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	68	3	−	−	PROPN
iajs-2705	68	4	𝑝	𝑝	NOUN
iajs-2705	68	5	║	║	NOUN
iajs-2705	68	6	+	+	CCONJ
iajs-2705	68	7	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	68	8	(	(	PUNCT
iajs-2705	68	9	𝓃[(1	𝓃[(1	PROPN
iajs-2705	68	10	−	−	PROPN
iajs-2705	68	11	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	68	12	)	)	PUNCT
iajs-2705	68	13	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	68	14	+	+	CCONJ
iajs-2705	68	15	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	68	16	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	68	17	]	]	PUNCT
iajs-2705	68	18	,	,	PUNCT
iajs-2705	68	19	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	68	20	)	)	PUNCT
iajs-2705	68	21	since	since	SCONJ
iajs-2705	68	22	║	║	NOUN
iajs-2705	68	23	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	68	24	–	–	PUNCT
iajs-2705	68	25	𝓅	𝓅	NOUN
iajs-2705	68	26	║	║	NOUN
iajs-2705	68	27	→	→	SYM
iajs-2705	68	28	0	0	NUM
iajs-2705	68	29	as	as	ADP
iajs-2705	68	30	𝑛	𝑛	PROPN
iajs-2705	68	31	→	→	SYM
iajs-2705	68	32	∞.	∞.	PROPN
iajs-2705	68	33	then	then	ADV
iajs-2705	68	34	,	,	PUNCT
iajs-2705	68	35	𝒵𝒜(𝓃[(1	𝒵𝒜(𝓃[(1	PROPN
iajs-2705	68	36	−	−	PROPN
iajs-2705	68	37	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	68	38	)	)	PUNCT
iajs-2705	68	39	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	68	40	+	+	CCONJ
iajs-2705	68	41	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	68	42	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	68	43	]	]	PUNCT
iajs-2705	68	44	,	,	PUNCT
iajs-2705	68	45	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	68	46	)	)	PUNCT
iajs-2705	68	47	=	=	SYM
iajs-2705	68	48	0	0	NUM
iajs-2705	69	1	║	║	NOUN
iajs-2705	69	2	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	69	3	−	−	PROPN
iajs-2705	69	4	𝑝	𝑝	NOUN
iajs-2705	69	5	║	║	NOUN
iajs-2705	69	6	≤	≤	NOUN
iajs-2705	69	7	(	(	PUNCT
iajs-2705	69	8	1	1	NUM
iajs-2705	69	9	−	−	PROPN
iajs-2705	69	10	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	69	11	)	)	PUNCT
iajs-2705	69	12	║	║	NOUN
iajs-2705	69	13	𝑧𝑛	𝑧𝑛	PROPN
iajs-2705	69	14	–	–	PUNCT
iajs-2705	69	15	𝓅	𝓅	NOUN
iajs-2705	69	16	║	║	NOUN
iajs-2705	69	17	+	+	CCONJ
iajs-2705	69	18	𝛿𝓈𝑛	𝛿𝓈𝑛	NOUN
iajs-2705	69	19	║	║	NOUN
iajs-2705	69	20	𝑧𝑛	𝑧𝑛	PROPN
iajs-2705	69	21	–	–	PUNCT
iajs-2705	69	22	𝓅	𝓅	NOUN
iajs-2705	69	23	║	║	NOUN
iajs-2705	69	24	+	+	CCONJ
iajs-2705	69	25	𝓈𝑛𝒵𝒜	𝓈𝑛𝒵𝒜	NOUN
iajs-2705	69	26	(	(	PUNCT
iajs-2705	69	27	𝓃𝑧𝑛	𝓃𝑧𝑛	PROPN
iajs-2705	69	28	,	,	PUNCT
iajs-2705	69	29	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	69	30	)	)	PUNCT
iajs-2705	69	31	≤	≤	NOUN
iajs-2705	69	32	(	(	PUNCT
iajs-2705	69	33	1	1	NUM
iajs-2705	69	34	−	−	NOUN
iajs-2705	69	35	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	69	36	−	−	NUM
iajs-2705	69	37	𝛿))	𝛿))	NOUN
iajs-2705	69	38	║	║	NOUN
iajs-2705	69	39	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	69	40	–	–	PUNCT
iajs-2705	69	41	𝓅	𝓅	NOUN
iajs-2705	69	42	║	║	NOUN
iajs-2705	69	43	+	+	CCONJ
iajs-2705	69	44	𝒵𝑚𝑖𝑛	𝒵𝑚𝑖𝑛	PROPN
iajs-2705	69	45	{	{	PUNCT
iajs-2705	69	46	𝓃	𝓃	NOUN
iajs-2705	69	47	║	║	PROPN
iajs-2705	69	48	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	69	49	–	–	PUNCT
iajs-2705	69	50	𝒯𝑧𝑛	𝒯𝑧𝑛	NOUN
iajs-2705	69	51	║	║	NOUN
iajs-2705	69	52	,	,	PUNCT
iajs-2705	69	53	𝓂	𝓂	NOUN
iajs-2705	69	54	║	║	NOUN
iajs-2705	69	55	𝓅	𝓅	X
iajs-2705	69	56	−	−	PROPN
iajs-2705	69	57	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	69	58	║	║	PROPN
iajs-2705	69	59	,	,	PUNCT
iajs-2705	69	60	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	69	61	║	║	NOUN
iajs-2705	69	62	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	69	63	−	−	PROPN
iajs-2705	69	64	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	69	65	║	║	PROPN
iajs-2705	69	66	,	,	PUNCT
iajs-2705	69	67	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	69	68	║	║	NOUN
iajs-2705	69	69	𝓅	𝓅	NOUN
iajs-2705	69	70	−	−	PROPN
iajs-2705	69	71	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	69	72	║	║	NOUN
iajs-2705	69	73	}	}	PUNCT
iajs-2705	69	74	║	║	NOUN
iajs-2705	69	75	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	69	76	−	−	PROPN
iajs-2705	69	77	𝑝	𝑝	NOUN
iajs-2705	69	78	║	║	NOUN
iajs-2705	69	79	≤	≤	PUNCT
iajs-2705	69	80	║	║	NOUN
iajs-2705	69	81	𝑧𝑛	𝑧𝑛	PROPN
iajs-2705	69	82	–	–	PUNCT
iajs-2705	69	83	𝓅	𝓅	NOUN
iajs-2705	69	84	║	║	NOUN
iajs-2705	69	85	.	.	PUNCT
iajs-2705	70	1	(	(	PUNCT
iajs-2705	70	2	2.2	2.2	NUM
iajs-2705	70	3	)	)	PUNCT
iajs-2705	70	4	using	use	VERB
iajs-2705	70	5	inequality	inequality	NOUN
iajs-2705	70	6	(	(	PUNCT
iajs-2705	70	7	2.1	2.1	NUM
iajs-2705	70	8	)	)	PUNCT
iajs-2705	70	9	in	in	ADP
iajs-2705	70	10	(	(	PUNCT
iajs-2705	70	11	2.2	2.2	NUM
iajs-2705	70	12	)	)	PUNCT
iajs-2705	70	13	,	,	PUNCT
iajs-2705	70	14	it	it	PRON
iajs-2705	70	15	follows	follow	VERB
iajs-2705	70	16	that	that	SCONJ
iajs-2705	70	17	:	:	PUNCT
iajs-2705	70	18	║	║	NOUN
iajs-2705	70	19	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	70	20	–	–	PUNCT
iajs-2705	70	21	𝓅	𝓅	NOUN
iajs-2705	70	22	║	║	NOUN
iajs-2705	70	23	≤	≤	PUNCT
iajs-2705	70	24	║	║	NOUN
iajs-2705	70	25	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	70	26	–	–	PUNCT
iajs-2705	70	27	𝓅	𝓅	NOUN
iajs-2705	70	28	║	║	NOUN
iajs-2705	70	29	(	(	PUNCT
iajs-2705	70	30	2.3	2.3	NUM
iajs-2705	70	31	)	)	PUNCT
iajs-2705	70	32	and	and	CCONJ
iajs-2705	70	33	,	,	PUNCT
iajs-2705	71	1	║	║	VERB
iajs-2705	71	2	𝑥𝑛+1	𝑥𝑛+1	ADP
iajs-2705	71	3	−	−	ADP
iajs-2705	71	4	𝓅	𝓅	NOUN
iajs-2705	71	5	║	║	NOUN
iajs-2705	71	6	=	=	PUNCT
iajs-2705	72	1	║	║	VERB
iajs-2705	72	2	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	72	3	−	−	ADP
iajs-2705	72	4	𝓅	𝓅	NOUN
iajs-2705	72	5	║	║	NOUN
iajs-2705	72	6	≤	≤	NOUN
iajs-2705	72	7	𝛿	𝛿	DET
iajs-2705	72	8	║	║	NOUN
iajs-2705	72	9	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	72	10	−	−	NOUN
iajs-2705	72	11	𝓅	𝓅	ADP
iajs-2705	72	12	║	║	NOUN
iajs-2705	72	13	+	+	CCONJ
iajs-2705	72	14	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	72	15	(	(	PUNCT
iajs-2705	72	16	𝓃𝑦𝑛	𝓃𝑦𝑛	NOUN
iajs-2705	72	17	,	,	PUNCT
iajs-2705	72	18	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	72	19	)	)	PUNCT
iajs-2705	72	20	≤	≤	NOUN
iajs-2705	72	21	║	║	NOUN
iajs-2705	72	22	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	72	23	−	−	NOUN
iajs-2705	72	24	𝓅	𝓅	NOUN
iajs-2705	72	25	║	║	NOUN
iajs-2705	72	26	(	(	PUNCT
iajs-2705	72	27	2.4	2.4	NUM
iajs-2705	72	28	)	)	PUNCT
iajs-2705	72	29	using	use	VERB
iajs-2705	72	30	inequality	inequality	NOUN
iajs-2705	72	31	(	(	PUNCT
iajs-2705	72	32	2.3	2.3	NUM
iajs-2705	72	33	)	)	PUNCT
iajs-2705	72	34	,	,	PUNCT
iajs-2705	72	35	inequality	inequality	NOUN
iajs-2705	72	36	(	(	PUNCT
iajs-2705	72	37	2.4	2.4	NUM
iajs-2705	72	38	)	)	PUNCT
iajs-2705	72	39	becomes	become	VERB
iajs-2705	72	40	║	║	NOUN
iajs-2705	72	41	𝑥𝑛+1	𝑥𝑛+1	NOUN
iajs-2705	72	42	−	−	ADP
iajs-2705	72	43	𝓅	𝓅	NOUN
iajs-2705	72	44	║	║	NOUN
iajs-2705	72	45	≤	≤	PUNCT
iajs-2705	73	1	║	║	NOUN
iajs-2705	73	2	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	73	3	−	−	NOUN
iajs-2705	73	4	𝓅	𝓅	ADP
iajs-2705	73	5	║	║	NOUN
iajs-2705	73	6	for	for	ADP
iajs-2705	73	7	all	all	DET
iajs-2705	73	8	n	n	PRON
iajs-2705	73	9	∈	∈	PROPN
iajs-2705	73	10	n.	n.	NOUN
iajs-2705	73	11	(	(	PUNCT
iajs-2705	73	12	2.5	2.5	NUM
iajs-2705	73	13	)	)	PUNCT
iajs-2705	73	14	so	so	ADV
iajs-2705	73	15	,	,	PUNCT
iajs-2705	73	16	{	{	PUNCT
iajs-2705	73	17	║	║	VERB
iajs-2705	73	18	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	73	19	−	−	ADP
iajs-2705	73	20	𝓅	𝓅	NOUN
iajs-2705	73	21	║	║	NOUN
iajs-2705	73	22	}	}	PUNCT
iajs-2705	73	23	is	be	AUX
iajs-2705	73	24	decreasing	decrease	VERB
iajs-2705	73	25	,	,	PUNCT
iajs-2705	73	26	for	for	ADP
iajs-2705	73	27	each	each	DET
iajs-2705	73	28	𝓅	𝓅	PROPN
iajs-2705	73	29	∈	∈	PROPN
iajs-2705	73	30	ℱ(𝒯	ℱ(𝒯	PROPN
iajs-2705	73	31	)	)	PUNCT
iajs-2705	73	32	,	,	PUNCT
iajs-2705	73	33	this	this	PRON
iajs-2705	73	34	implies	imply	VERB
iajs-2705	73	35	that	that	SCONJ
iajs-2705	73	36	the	the	DET
iajs-2705	73	37	sequence	sequence	NOUN
iajs-2705	73	38	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	73	39	𝑛→∞	𝑛→∞	NUM
iajs-2705	73	40	║	║	VERB
iajs-2705	73	41	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	73	42	–	–	PUNCT
iajs-2705	73	43	𝓅	𝓅	NOUN
iajs-2705	73	44	║	║	NOUN
iajs-2705	73	45	exists	exist	VERB
iajs-2705	73	46	.	.	PUNCT
iajs-2705	74	1	∎	∎	PROPN
iajs-2705	74	2	theorem	theorem	VERB
iajs-2705	74	3	2.4	2.4	NUM
iajs-2705	74	4	:	:	PUNCT
iajs-2705	74	5	let	let	VERB
iajs-2705	74	6	ℳ	ℳ	PRON
iajs-2705	74	7	be	be	AUX
iajs-2705	74	8	a	a	DET
iajs-2705	74	9	uniformly	uniformly	ADV
iajs-2705	74	10	convex	convex	NOUN
iajs-2705	74	11	banach	banach	NOUN
iajs-2705	74	12	space	space	NOUN
iajs-2705	74	13	,	,	PUNCT
iajs-2705	74	14	𝒞	𝒞	PROPN
iajs-2705	74	15	be	be	AUX
iajs-2705	74	16	nonempty	nonempty	ADJ
iajs-2705	74	17	convex	convex	ADJ
iajs-2705	74	18	and	and	CCONJ
iajs-2705	74	19	closed	closed	ADJ
iajs-2705	74	20	subset	subset	NOUN
iajs-2705	74	21	of	of	ADP
iajs-2705	74	22	ℳ	ℳ	PROPN
iajs-2705	74	23	and	and	CCONJ
iajs-2705	74	24	let	let	VERB
iajs-2705	74	25	𝒯	𝒯	PROPN
iajs-2705	74	26	:	:	PUNCT
iajs-2705	74	27	𝒞	𝒞	PROPN
iajs-2705	74	28	→	→	PUNCT
iajs-2705	74	29	𝒞	𝒞	PROPN
iajs-2705	74	30	a	a	DET
iajs-2705	74	31	𝛿𝒵𝒜	𝛿𝒵𝒜	NOUN
iajs-2705	75	1	−	−	PROPN
iajs-2705	75	2	quasi	quasi	ADJ
iajs-2705	75	3	contraction	contraction	NOUN
iajs-2705	75	4	mapping	mapping	NOUN
iajs-2705	75	5	.	.	PUNCT
iajs-2705	76	1	suppose	suppose	VERB
iajs-2705	76	2	that	that	SCONJ
iajs-2705	76	3	〈	〈	PROPN
iajs-2705	76	4	𝑥𝑛	𝑥𝑛	VERB
iajs-2705	76	5	〉	〉	NOUN
iajs-2705	76	6	the	the	DET
iajs-2705	76	7	zenali	zenali	VERB
iajs-2705	76	8	iteration	iteration	NOUN
iajs-2705	76	9	in	in	ADP
iajs-2705	76	10	𝒞.	𝒞.	PROPN
iajs-2705	76	11	then	then	ADV
iajs-2705	76	12	f(𝒯	f(𝒯	NOUN
iajs-2705	76	13	)	)	PUNCT
iajs-2705	76	14	≠	≠	PROPN
iajs-2705	76	15	∅	∅	NOUN
iajs-2705	76	16	if	if	SCONJ
iajs-2705	76	17	and	and	CCONJ
iajs-2705	76	18	only	only	ADV
iajs-2705	76	19	if	if	SCONJ
iajs-2705	76	20	〈	〈	NOUN
iajs-2705	76	21	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	76	22	〉	〉	NOUN
iajs-2705	76	23	is	be	AUX
iajs-2705	76	24	bounded	bound	VERB
iajs-2705	76	25	and	and	CCONJ
iajs-2705	76	26	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	76	27	𝑛→∞	𝑛→∞	NUM
iajs-2705	76	28	║	║	VERB
iajs-2705	76	29	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	76	30	–	–	PUNCT
iajs-2705	76	31	𝒯𝑥𝑛	𝒯𝑥𝑛	NOUN
iajs-2705	76	32	║	║	NOUN
iajs-2705	76	33	=	=	PUNCT
iajs-2705	76	34	0	0	X
iajs-2705	76	35	.	.	PUNCT
iajs-2705	77	1	proof	proof	NOUN
iajs-2705	77	2	.	.	PUNCT
iajs-2705	78	1	since	since	SCONJ
iajs-2705	78	2	𝓅	𝓅	PROPN
iajs-2705	78	3	∈	∈	PROPN
iajs-2705	78	4	f(𝒯	f(𝒯	NOUN
iajs-2705	78	5	)	)	PUNCT
iajs-2705	78	6	,	,	PUNCT
iajs-2705	78	7	from	from	ADP
iajs-2705	78	8	(	(	PUNCT
iajs-2705	78	9	2.5	2.5	NUM
iajs-2705	78	10	)	)	PUNCT
iajs-2705	78	11	we	we	PRON
iajs-2705	78	12	get	get	VERB
iajs-2705	78	13	║	║	NOUN
iajs-2705	78	14	𝑥𝑛+1	𝑥𝑛+1	NOUN
iajs-2705	78	15	−	−	ADP
iajs-2705	78	16	𝓅	𝓅	NOUN
iajs-2705	78	17	║	║	NOUN
iajs-2705	78	18	≤	≤	PUNCT
iajs-2705	79	1	║	║	NOUN
iajs-2705	79	2	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	79	3	−	−	NOUN
iajs-2705	79	4	𝓅	𝓅	ADP
iajs-2705	79	5	║	║	NOUN
iajs-2705	79	6	≤	≤	NOUN
iajs-2705	79	7	⋯	⋯	NOUN
iajs-2705	79	8	≤	≤	NOUN
iajs-2705	79	9	║	║	NOUN
iajs-2705	79	10	𝑥0	𝑥0	NOUN
iajs-2705	79	11	−	−	NOUN
iajs-2705	79	12	𝓅	𝓅	NOUN
iajs-2705	79	13	║	║	NOUN
iajs-2705	79	14	for	for	ADP
iajs-2705	79	15	all	all	DET
iajs-2705	79	16	n	n	PRON
iajs-2705	79	17	∈	∈	PROPN
iajs-2705	79	18	n.thus	n.thus	NOUN
iajs-2705	79	19	,	,	PUNCT
iajs-2705	79	20	〈	〈	PROPN
iajs-2705	79	21	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	79	22	〉	〉	NOUN
iajs-2705	79	23	is	be	AUX
iajs-2705	79	24	bounded	bound	VERB
iajs-2705	79	25	set	set	VERB
iajs-2705	79	26	in	in	ADP
iajs-2705	79	27	𝒞.	𝒞.	PROPN
iajs-2705	79	28	put	put	NOUN
iajs-2705	79	29	,	,	PUNCT
iajs-2705	79	30	𝑟	𝑟	X
iajs-2705	79	31	=	=	PRON
iajs-2705	79	32	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	79	33	𝑛→∞	𝑛→∞	NUM
iajs-2705	79	34	║	║	VERB
iajs-2705	79	35	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	79	36	–	–	PUNCT
iajs-2705	79	37	𝓅	𝓅	NOUN
iajs-2705	79	38	║	║	NOUN
iajs-2705	79	39	(	(	PUNCT
iajs-2705	79	40	2.6	2.6	NUM
iajs-2705	79	41	)	)	PUNCT
iajs-2705	79	42	and	and	CCONJ
iajs-2705	79	43	,	,	PUNCT
iajs-2705	79	44	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	79	45	𝑛→∞	𝑛→∞	NOUN
iajs-2705	79	46	║	║	VERB
iajs-2705	79	47	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	79	48	–	–	PUNCT
iajs-2705	79	49	𝓅	𝓅	NOUN
iajs-2705	79	50	║	║	NOUN
iajs-2705	79	51	≤	≤	NUM
iajs-2705	79	52	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	79	53	𝑛→∞	𝑛→∞	NUM
iajs-2705	79	54	(	(	PUNCT
iajs-2705	79	55	𝛿	𝛿	PROPN
iajs-2705	79	56	║	║	NOUN
iajs-2705	79	57	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	79	58	−	−	NOUN
iajs-2705	79	59	𝓅	𝓅	ADP
iajs-2705	79	60	║	║	NOUN
iajs-2705	79	61	+	+	CCONJ
iajs-2705	79	62	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	79	63	(	(	PUNCT
iajs-2705	79	64	𝓃𝑥𝑛	𝓃𝑥𝑛	PROPN
iajs-2705	79	65	,	,	PUNCT
iajs-2705	79	66	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	79	67	)	)	PUNCT
iajs-2705	79	68	)	)	PUNCT
iajs-2705	79	69	≤	≤	NUM
iajs-2705	79	70	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	79	71	𝑛→∞	𝑛→∞	NUM
iajs-2705	79	72	(	(	PUNCT
iajs-2705	79	73	║	║	NOUN
iajs-2705	79	74	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	79	75	−	−	NOUN
iajs-2705	79	76	𝓅	𝓅	ADP
iajs-2705	79	77	║	║	NOUN
iajs-2705	80	1	+	+	NOUN
iajs-2705	80	2	𝒵𝑚𝑖𝑛	𝒵𝑚𝑖𝑛	PROPN
iajs-2705	80	3	{	{	PUNCT
iajs-2705	80	4	𝓃	𝓃	NOUN
iajs-2705	80	5	║	║	PROPN
iajs-2705	80	6	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	80	7	–	–	PUNCT
iajs-2705	80	8	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	80	9	║	║	NOUN
iajs-2705	80	10	,	,	PUNCT
iajs-2705	80	11	𝓂	𝓂	NOUN
iajs-2705	80	12	║	║	NOUN
iajs-2705	80	13	𝓅	𝓅	X
iajs-2705	80	14	−	−	PROPN
iajs-2705	80	15	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	80	16	║	║	PROPN
iajs-2705	80	17	,	,	PUNCT
iajs-2705	80	18	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	80	19	║	║	NOUN
iajs-2705	80	20	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	80	21	−	−	PROPN
iajs-2705	80	22	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	80	23	║	║	PROPN
iajs-2705	80	24	,	,	PUNCT
iajs-2705	80	25	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	80	26	║	║	NOUN
iajs-2705	80	27	𝓅	𝓅	NOUN
iajs-2705	80	28	−	−	PROPN
iajs-2705	80	29	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	80	30	║	║	NOUN
iajs-2705	80	31	}	}	PUNCT
iajs-2705	80	32	)	)	PUNCT
iajs-2705	80	33	ibn	ibn	PROPN
iajs-2705	80	34	al	al	PROPN
iajs-2705	80	35	-	-	PUNCT
iajs-2705	80	36	haitham	haitham	PROPN
iajs-2705	80	37	jour	jour	X
iajs-2705	80	38	.	.	PROPN
iajs-2705	81	1	for	for	ADP
iajs-2705	81	2	pure	pure	ADJ
iajs-2705	81	3	&	&	CCONJ
iajs-2705	81	4	appl	appl	PROPN
iajs-2705	81	5	.	.	PUNCT
iajs-2705	82	1	sci	sci	PROPN
iajs-2705	82	2	.	.	PROPN
iajs-2705	83	1	34(4)2021	34(4)2021	NUM
iajs-2705	83	2	82	82	NUM
iajs-2705	83	3	𝑙𝑖𝑚	𝑙𝑖𝑚	ADJ
iajs-2705	83	4	𝑛→∞	𝑛→∞	NUM
iajs-2705	83	5	║	║	VERB
iajs-2705	83	6	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	83	7	–	–	PUNCT
iajs-2705	83	8	𝓅	𝓅	NOUN
iajs-2705	83	9	║	║	NOUN
iajs-2705	83	10	≤	≤	NUM
iajs-2705	83	11	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	83	12	𝑛→∞	𝑛→∞	NUM
iajs-2705	83	13	║	║	X
iajs-2705	83	14	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	83	15	−	−	NOUN
iajs-2705	83	16	𝓅	𝓅	NOUN
iajs-2705	83	17	║	║	NOUN
iajs-2705	83	18	(	(	PUNCT
iajs-2705	83	19	2.7	2.7	NUM
iajs-2705	83	20	)	)	PUNCT
iajs-2705	83	21	using	use	VERB
iajs-2705	83	22	inequality	inequality	NOUN
iajs-2705	83	23	(	(	PUNCT
iajs-2705	83	24	2.6	2.6	NUM
iajs-2705	83	25	)	)	PUNCT
iajs-2705	83	26	in	in	ADP
iajs-2705	83	27	(	(	PUNCT
iajs-2705	83	28	2.7	2.7	NUM
iajs-2705	83	29	)	)	PUNCT
iajs-2705	83	30	becomes	become	VERB
iajs-2705	83	31	,	,	PUNCT
iajs-2705	83	32	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	83	33	𝑛→∞	𝑛→∞	NOUN
iajs-2705	83	34	║	║	VERB
iajs-2705	83	35	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	83	36	–	–	PUNCT
iajs-2705	83	37	𝓅	𝓅	NOUN
iajs-2705	83	38	║	║	PUNCT
iajs-2705	83	39	≤	≤	ADJ
iajs-2705	83	40	𝑟	𝑟	NOUN
iajs-2705	83	41	(	(	PUNCT
iajs-2705	83	42	2.8	2.8	NUM
iajs-2705	83	43	)	)	PUNCT
iajs-2705	83	44	from	from	ADP
iajs-2705	83	45	equations(2.3	equations(2.3	NOUN
iajs-2705	83	46	)	)	PUNCT
iajs-2705	83	47	and	and	CCONJ
iajs-2705	83	48	(	(	PUNCT
iajs-2705	83	49	2.6	2.6	NUM
iajs-2705	83	50	)	)	PUNCT
iajs-2705	83	51	,	,	PUNCT
iajs-2705	83	52	we	we	PRON
iajs-2705	83	53	have	have	AUX
iajs-2705	83	54	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	83	55	𝑛→∞	𝑛→∞	NUM
iajs-2705	83	56	𝑖𝑛𝑓	𝑖𝑛𝑓	NOUN
iajs-2705	84	1	║	║	NOUN
iajs-2705	84	2	y𝑛	y𝑛	PROPN
iajs-2705	84	3	–	–	PUNCT
iajs-2705	84	4	𝓅	𝓅	NOUN
iajs-2705	84	5	║	║	NOUN
iajs-2705	84	6	≤	≤	NUM
iajs-2705	84	7	r.	r.	X
iajs-2705	84	8	(	(	PUNCT
iajs-2705	84	9	2.9	2.9	NUM
iajs-2705	84	10	)	)	PUNCT
iajs-2705	84	11	similarly	similarly	ADV
iajs-2705	84	12	by	by	ADP
iajs-2705	84	13	using	use	VERB
iajs-2705	84	14	(	(	PUNCT
iajs-2705	84	15	2.1	2.1	NUM
iajs-2705	84	16	)	)	PUNCT
iajs-2705	84	17	and	and	CCONJ
iajs-2705	84	18	(	(	PUNCT
iajs-2705	84	19	2.6),we	2.6),we	NUM
iajs-2705	84	20	have	have	AUX
iajs-2705	84	21	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	84	22	𝑛→∞	𝑛→∞	NUM
iajs-2705	84	23	𝑠𝑢𝑝	𝑠𝑢𝑝	NOUN
iajs-2705	84	24	║	║	VERB
iajs-2705	84	25	z𝑛	z𝑛	NOUN
iajs-2705	84	26	–	–	PUNCT
iajs-2705	84	27	𝓅	𝓅	NOUN
iajs-2705	84	28	║	║	PUNCT
iajs-2705	84	29	≤	≤	NUM
iajs-2705	84	30	r	r	NOUN
iajs-2705	84	31	(	(	PUNCT
iajs-2705	84	32	2.10	2.10	NUM
iajs-2705	84	33	)	)	PUNCT
iajs-2705	84	34	now	now	ADV
iajs-2705	84	35	,	,	PUNCT
iajs-2705	84	36	𝑟	𝑟	X
iajs-2705	84	37	=	=	PUNCT
iajs-2705	84	38	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	84	39	𝑛→∞	𝑛→∞	NUM
iajs-2705	84	40	𝑖𝑛𝑓	𝑖𝑛𝑓	NOUN
iajs-2705	85	1	║	║	VERB
iajs-2705	85	2	𝑥𝑛+1	𝑥𝑛+1	NOUN
iajs-2705	85	3	–	–	PUNCT
iajs-2705	85	4	𝓅	𝓅	NOUN
iajs-2705	85	5	║	║	VERB
iajs-2705	85	6	=	=	PRON
iajs-2705	85	7	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	85	8	𝑛→∞	𝑛→∞	NUM
iajs-2705	85	9	𝑖𝑛𝑓	𝑖𝑛𝑓	NOUN
iajs-2705	86	1	║	║	VERB
iajs-2705	86	2	𝒯y𝑛	𝒯y𝑛	PROPN
iajs-2705	86	3	–	–	PUNCT
iajs-2705	86	4	𝓅	𝓅	NOUN
iajs-2705	86	5	║	║	NOUN
iajs-2705	86	6	≤	≤	NUM
iajs-2705	86	7	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	86	8	𝑛→∞	𝑛→∞	NUM
iajs-2705	86	9	𝑖𝑛𝑓	𝑖𝑛𝑓	INTJ
iajs-2705	86	10	(	(	PUNCT
iajs-2705	86	11	𝛿	𝛿	ADJ
iajs-2705	86	12	║	║	NOUN
iajs-2705	86	13	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	86	14	−	−	NOUN
iajs-2705	86	15	𝓅	𝓅	ADP
iajs-2705	86	16	║	║	NOUN
iajs-2705	86	17	+	+	CCONJ
iajs-2705	86	18	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	86	19	(	(	PUNCT
iajs-2705	86	20	𝓃𝑦𝑛	𝓃𝑦𝑛	NOUN
iajs-2705	86	21	,	,	PUNCT
iajs-2705	86	22	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	86	23	)	)	PUNCT
iajs-2705	86	24	)	)	PUNCT
iajs-2705	86	25	≤	≤	NUM
iajs-2705	86	26	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	86	27	𝑛→∞	𝑛→∞	NUM
iajs-2705	86	28	𝑖𝑛𝑓	𝑖𝑛𝑓	INTJ
iajs-2705	86	29	(	(	PUNCT
iajs-2705	86	30	║	║	NOUN
iajs-2705	86	31	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	86	32	−	−	NOUN
iajs-2705	86	33	𝓅	𝓅	ADP
iajs-2705	86	34	║	║	NOUN
iajs-2705	87	1	+	+	NOUN
iajs-2705	87	2	𝒵𝑚𝑖𝑛	𝒵𝑚𝑖𝑛	PROPN
iajs-2705	87	3	{	{	PUNCT
iajs-2705	87	4	𝓃	𝓃	NOUN
iajs-2705	87	5	║	║	NOUN
iajs-2705	87	6	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	87	7	–	–	PUNCT
iajs-2705	87	8	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	87	9	║	║	NOUN
iajs-2705	87	10	,	,	PUNCT
iajs-2705	87	11	𝓂	𝓂	NOUN
iajs-2705	87	12	║	║	NOUN
iajs-2705	87	13	𝓅	𝓅	X
iajs-2705	87	14	−	−	PROPN
iajs-2705	87	15	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	87	16	║	║	PROPN
iajs-2705	87	17	,	,	PUNCT
iajs-2705	87	18	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	87	19	║	║	NOUN
iajs-2705	87	20	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	87	21	−	−	PROPN
iajs-2705	87	22	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	87	23	║	║	PROPN
iajs-2705	87	24	,	,	PUNCT
iajs-2705	87	25	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	87	26	║	║	NOUN
iajs-2705	87	27	𝓅	𝓅	NOUN
iajs-2705	87	28	−	−	X
iajs-2705	87	29	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	87	30	║	║	NOUN
iajs-2705	87	31	}	}	PUNCT
iajs-2705	87	32	)	)	PUNCT
iajs-2705	87	33	then	then	ADV
iajs-2705	87	34	,	,	PUNCT
iajs-2705	87	35	we	we	PRON
iajs-2705	87	36	get	get	VERB
iajs-2705	87	37	𝑟	𝑟	DET
iajs-2705	87	38	≤	≤	NUM
iajs-2705	87	39	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	87	40	𝑛→∞	𝑛→∞	NUM
iajs-2705	87	41	𝑖𝑛𝑓	𝑖𝑛𝑓	NOUN
iajs-2705	88	1	║	║	NOUN
iajs-2705	88	2	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	88	3	–	–	PUNCT
iajs-2705	88	4	𝓅	𝓅	NOUN
iajs-2705	88	5	║	║	NOUN
iajs-2705	88	6	.	.	PUNCT
iajs-2705	89	1	(	(	PUNCT
iajs-2705	89	2	2.11	2.11	NUM
iajs-2705	89	3	)	)	PUNCT
iajs-2705	89	4	having	have	VERB
iajs-2705	89	5	in	in	ADP
iajs-2705	89	6	mind	mind	NOUN
iajs-2705	89	7	(	(	PUNCT
iajs-2705	89	8	2.2	2.2	NUM
iajs-2705	89	9	)	)	PUNCT
iajs-2705	89	10	,	,	PUNCT
iajs-2705	89	11	inequality	inequality	NOUN
iajs-2705	89	12	(	(	PUNCT
iajs-2705	89	13	2.11	2.11	NUM
iajs-2705	89	14	)	)	PUNCT
iajs-2705	89	15	becomes	become	VERB
iajs-2705	89	16	,	,	PUNCT
iajs-2705	89	17	𝑟	𝑟	NOUN
iajs-2705	89	18	≤	≤	NUM
iajs-2705	89	19	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	89	20	𝑛→∞	𝑛→∞	NUM
iajs-2705	89	21	𝑖𝑛𝑓	𝑖𝑛𝑓	PUNCT
iajs-2705	90	1	║	║	NOUN
iajs-2705	90	2	𝑧𝑛	𝑧𝑛	PROPN
iajs-2705	90	3	–	–	PUNCT
iajs-2705	90	4	𝓅	𝓅	NOUN
iajs-2705	90	5	║	║	NOUN
iajs-2705	90	6	(	(	PUNCT
iajs-2705	90	7	2.12	2.12	NUM
iajs-2705	90	8	)	)	PUNCT
iajs-2705	90	9	from	from	ADP
iajs-2705	90	10	eqs	eqs	X
iajs-2705	90	11	(	(	PUNCT
iajs-2705	90	12	2.10	2.10	NUM
iajs-2705	90	13	)	)	PUNCT
iajs-2705	90	14	and	and	CCONJ
iajs-2705	90	15	(	(	PUNCT
iajs-2705	90	16	2.12	2.12	NUM
iajs-2705	90	17	)	)	PUNCT
iajs-2705	90	18	,	,	PUNCT
iajs-2705	90	19	we	we	PRON
iajs-2705	90	20	obtain	obtain	VERB
iajs-2705	90	21	𝑟	𝑟	NOUN
iajs-2705	90	22	=	=	PRON
iajs-2705	90	23	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	90	24	𝑛→∞	𝑛→∞	NOUN
iajs-2705	90	25	║	║	VERB
iajs-2705	90	26	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	90	27	–	–	PUNCT
iajs-2705	90	28	𝓅	𝓅	NOUN
iajs-2705	90	29	║	║	PUNCT
iajs-2705	90	30	=	=	PUNCT
iajs-2705	90	31	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	90	32	𝑛→∞	𝑛→∞	NUM
iajs-2705	90	33	(	(	PUNCT
iajs-2705	90	34	║	║	VERB
iajs-2705	90	35	𝒯((1	𝒯((1	PROPN
iajs-2705	90	36	−	−	PROPN
iajs-2705	90	37	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	90	38	)	)	PUNCT
iajs-2705	90	39	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	90	40	−	−	NOUN
iajs-2705	90	41	𝓉𝑛	𝓉𝑛	ADJ
iajs-2705	90	42	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	90	43	)	)	PUNCT
iajs-2705	90	44	–	–	PUNCT
iajs-2705	90	45	𝓅	𝓅	X
iajs-2705	90	46	║	║	NOUN
iajs-2705	90	47	)	)	PUNCT
iajs-2705	90	48	≤	≤	NOUN
iajs-2705	91	1	𝛿	𝛿	DET
iajs-2705	91	2	𝑙𝑖𝑚	𝑙𝑖𝑚	ADJ
iajs-2705	91	3	𝑛→∞	𝑛→∞	NUM
iajs-2705	91	4	║	║	NOUN
iajs-2705	91	5	(	(	PUNCT
iajs-2705	91	6	1	1	NUM
iajs-2705	91	7	−	−	NOUN
iajs-2705	91	8	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	91	9	)	)	PUNCT
iajs-2705	91	10	(	(	PUNCT
iajs-2705	91	11	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	91	12	−	−	PROPN
iajs-2705	91	13	𝓅	𝓅	NOUN
iajs-2705	91	14	)	)	PUNCT
iajs-2705	91	15	−	−	PROPN
iajs-2705	91	16	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	91	17	(	(	PUNCT
iajs-2705	91	18	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	91	19	–	–	PUNCT
iajs-2705	91	20	𝓅	𝓅	NOUN
iajs-2705	91	21	)	)	PUNCT
iajs-2705	91	22	║	║	NOUN
iajs-2705	91	23	+	+	ADP
iajs-2705	91	24	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	91	25	(	(	PUNCT
iajs-2705	91	26	𝓃[(1	𝓃[(1	PROPN
iajs-2705	91	27	−	−	PROPN
iajs-2705	91	28	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	91	29	)	)	PUNCT
iajs-2705	91	30	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	91	31	−	−	NOUN
iajs-2705	91	32	𝓉𝑛	𝓉𝑛	ADJ
iajs-2705	91	33	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	91	34	]	]	PUNCT
iajs-2705	91	35	,	,	PUNCT
iajs-2705	91	36	𝓂	𝓂	NOUN
iajs-2705	91	37	𝓅	𝓅	PROPN
iajs-2705	91	38	)	)	PUNCT
iajs-2705	91	39	.	.	PUNCT
iajs-2705	92	1	since	since	SCONJ
iajs-2705	92	2	║	║	NOUN
iajs-2705	92	3	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	92	4	–	–	PUNCT
iajs-2705	92	5	𝓅	𝓅	NOUN
iajs-2705	92	6	║	║	NOUN
iajs-2705	92	7	→	→	SYM
iajs-2705	92	8	0	0	NUM
iajs-2705	92	9	as	as	ADP
iajs-2705	92	10	𝑛	𝑛	PROPN
iajs-2705	92	11	→	→	SYM
iajs-2705	92	12	∞	∞	PROPN
iajs-2705	92	13	then	then	ADV
iajs-2705	92	14	,	,	PUNCT
iajs-2705	92	15	𝒵𝒜	𝒵𝒜	PROPN
iajs-2705	92	16	(	(	PUNCT
iajs-2705	92	17	𝓃[(1	𝓃[(1	PROPN
iajs-2705	92	18	−	−	PROPN
iajs-2705	92	19	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	92	20	)	)	PUNCT
iajs-2705	92	21	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	92	22	−	−	NOUN
iajs-2705	92	23	𝓉𝑛	𝓉𝑛	ADJ
iajs-2705	92	24	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	92	25	]	]	PUNCT
iajs-2705	92	26	,	,	PUNCT
iajs-2705	92	27	𝓂	𝓂	NOUN
iajs-2705	92	28	𝓅	𝓅	NOUN
iajs-2705	92	29	)	)	PUNCT
iajs-2705	92	30	=	=	SYM
iajs-2705	92	31	0	0	X
iajs-2705	92	32	≤	≤	NUM
iajs-2705	92	33	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	92	34	𝑛→∞	𝑛→∞	NUM
iajs-2705	92	35	𝛿(1	𝛿(1	PROPN
iajs-2705	92	36	−	−	PROPN
iajs-2705	92	37	𝓉𝑛(1	𝓉𝑛(1	PROPN
iajs-2705	93	1	−	−	PROPN
iajs-2705	93	2	𝛿))	𝛿))	NOUN
iajs-2705	93	3	║	║	NOUN
iajs-2705	93	4	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	93	5	–	–	PUNCT
iajs-2705	93	6	𝓅	𝓅	NOUN
iajs-2705	93	7	║	║	NOUN
iajs-2705	93	8	+	+	CCONJ
iajs-2705	93	9	𝒵min	𝒵min	PROPN
iajs-2705	93	10	{	{	PUNCT
iajs-2705	93	11	𝓃	𝓃	NOUN
iajs-2705	93	12	║	║	PROPN
iajs-2705	93	13	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	93	14	–	–	PUNCT
iajs-2705	93	15	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	93	16	║	║	NOUN
iajs-2705	93	17	,	,	PUNCT
iajs-2705	93	18	𝓂	𝓂	NOUN
iajs-2705	93	19	║	║	NOUN
iajs-2705	93	20	𝓅	𝓅	X
iajs-2705	93	21	−	−	PROPN
iajs-2705	93	22	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	93	23	║	║	PROPN
iajs-2705	93	24	,	,	PUNCT
iajs-2705	93	25	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	93	26	║	║	NOUN
iajs-2705	93	27	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	93	28	−	−	PROPN
iajs-2705	93	29	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	93	30	║	║	PROPN
iajs-2705	93	31	,	,	PUNCT
iajs-2705	93	32	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	93	33	║	║	NOUN
iajs-2705	93	34	𝓅	𝓅	NOUN
iajs-2705	93	35	−	−	PROPN
iajs-2705	93	36	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	93	37	║	║	PROPN
iajs-2705	93	38	}	}	PUNCT
iajs-2705	93	39	≤	≤	NOUN
iajs-2705	93	40	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	93	41	𝑛→∞	𝑛→∞	NUM
iajs-2705	93	42	║	║	VERB
iajs-2705	93	43	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	93	44	–	–	PUNCT
iajs-2705	93	45	𝓅	𝓅	NOUN
iajs-2705	93	46	║	║	PUNCT
iajs-2705	93	47	=	=	PUNCT
iajs-2705	94	1	𝑟	𝑟	NOUN
iajs-2705	94	2	so	so	ADV
iajs-2705	94	3	,	,	PUNCT
iajs-2705	94	4	𝑟	𝑟	NOUN
iajs-2705	94	5	≤	≤	ADV
iajs-2705	94	6	║	║	NOUN
iajs-2705	94	7	(	(	PUNCT
iajs-2705	94	8	1	1	NUM
iajs-2705	94	9	−	−	NOUN
iajs-2705	94	10	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	94	11	)	)	PUNCT
iajs-2705	94	12	(	(	PUNCT
iajs-2705	94	13	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	94	14	−	−	PROPN
iajs-2705	94	15	𝓅	𝓅	NOUN
iajs-2705	94	16	)	)	PUNCT
iajs-2705	94	17	−	−	PROPN
iajs-2705	95	1	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	95	2	(	(	PUNCT
iajs-2705	95	3	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	95	4	–	–	PUNCT
iajs-2705	95	5	𝓅	𝓅	NOUN
iajs-2705	95	6	)	)	PUNCT
iajs-2705	95	7	║	║	NOUN
iajs-2705	95	8	≤	≤	NOUN
iajs-2705	95	9	𝑟	𝑟	X
iajs-2705	95	10	then	then	ADV
iajs-2705	95	11	║	║	NOUN
iajs-2705	95	12	(	(	PUNCT
iajs-2705	95	13	1	1	NUM
iajs-2705	95	14	−	−	NOUN
iajs-2705	95	15	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	95	16	)	)	PUNCT
iajs-2705	95	17	(	(	PUNCT
iajs-2705	95	18	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	95	19	−	−	PROPN
iajs-2705	95	20	𝓅	𝓅	NOUN
iajs-2705	95	21	)	)	PUNCT
iajs-2705	95	22	−	−	PROPN
iajs-2705	96	1	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	96	2	(	(	PUNCT
iajs-2705	96	3	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	96	4	–	–	PUNCT
iajs-2705	96	5	𝓅	𝓅	NOUN
iajs-2705	96	6	)	)	PUNCT
iajs-2705	96	7	║	║	NOUN
iajs-2705	96	8	=	=	PUNCT
iajs-2705	96	9	𝑟	𝑟	NOUN
iajs-2705	96	10	(	(	PUNCT
iajs-2705	96	11	2.13	2.13	NUM
iajs-2705	96	12	)	)	PUNCT
iajs-2705	96	13	thus	thus	ADV
iajs-2705	96	14	from	from	ADP
iajs-2705	96	15	eqs	eqs	X
iajs-2705	96	16	(	(	PUNCT
iajs-2705	96	17	2.6	2.6	NUM
iajs-2705	96	18	)	)	PUNCT
iajs-2705	96	19	,	,	PUNCT
iajs-2705	96	20	(	(	PUNCT
iajs-2705	96	21	2.8	2.8	NUM
iajs-2705	96	22	)	)	PUNCT
iajs-2705	96	23	,	,	PUNCT
iajs-2705	96	24	(	(	PUNCT
iajs-2705	96	25	2.13	2.13	NUM
iajs-2705	96	26	)	)	PUNCT
iajs-2705	96	27	and	and	CCONJ
iajs-2705	96	28	lemma(1.2	lemma(1.2	NOUN
iajs-2705	96	29	)	)	PUNCT
iajs-2705	96	30	we	we	PRON
iajs-2705	96	31	obtain	obtain	VERB
iajs-2705	96	32	,	,	PUNCT
iajs-2705	96	33	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	96	34	𝑛→∞	𝑛→∞	NOUN
iajs-2705	96	35	║	║	VERB
iajs-2705	96	36	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	96	37	–	–	PUNCT
iajs-2705	96	38	𝒯𝑥𝑛	𝒯𝑥𝑛	NOUN
iajs-2705	96	39	║	║	NOUN
iajs-2705	96	40	=	=	PUNCT
iajs-2705	96	41	0	0	X
iajs-2705	96	42	.	.	PUNCT
iajs-2705	97	1	now	now	ADV
iajs-2705	97	2	,	,	PUNCT
iajs-2705	97	3	we	we	PRON
iajs-2705	97	4	prove	prove	VERB
iajs-2705	97	5	that	that	SCONJ
iajs-2705	97	6	f(𝒯	f(𝒯	NOUN
iajs-2705	97	7	)	)	PUNCT
iajs-2705	97	8	≠	≠	PROPN
iajs-2705	97	9	∅	∅	NOUN
iajs-2705	97	10	let	let	VERB
iajs-2705	97	11	𝓅	𝓅	PROPN
iajs-2705	97	12	∈	∈	PROPN
iajs-2705	97	13	a(𝒞	a(𝒞	PROPN
iajs-2705	97	14	,	,	PUNCT
iajs-2705	97	15	〈	〈	PROPN
iajs-2705	97	16	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	97	17	〉	〉	NOUN
iajs-2705	97	18	)	)	PUNCT
iajs-2705	97	19	⇒	⇒	VERB
iajs-2705	97	20	r(𝒞	r(𝒞	PROPN
iajs-2705	97	21	,	,	PUNCT
iajs-2705	97	22	〈	〈	NOUN
iajs-2705	97	23	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	97	24	〉	〉	NOUN
iajs-2705	97	25	)	)	PUNCT
iajs-2705	97	26	=	=	SYM
iajs-2705	98	1	r(𝓅	r(𝓅	PROPN
iajs-2705	98	2	,	,	PUNCT
iajs-2705	98	3	〈	〈	PROPN
iajs-2705	98	4	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	98	5	〉	〉	NOUN
iajs-2705	98	6	)	)	PUNCT
iajs-2705	98	7	ibn	ibn	PROPN
iajs-2705	98	8	al	al	PROPN
iajs-2705	98	9	-	-	PUNCT
iajs-2705	98	10	haitham	haitham	PROPN
iajs-2705	98	11	jour	jour	X
iajs-2705	98	12	.	.	PROPN
iajs-2705	99	1	for	for	ADP
iajs-2705	99	2	pure	pure	ADJ
iajs-2705	99	3	&	&	CCONJ
iajs-2705	99	4	appl	appl	PROPN
iajs-2705	99	5	.	.	PUNCT
iajs-2705	100	1	sci	sci	PROPN
iajs-2705	100	2	.	.	PROPN
iajs-2705	101	1	34(4)2021	34(4)2021	NUM
iajs-2705	101	2	83	83	NUM
iajs-2705	101	3	r(𝒯𝓅	r(𝒯𝓅	ADJ
iajs-2705	101	4	,	,	PUNCT
iajs-2705	101	5	〈	〈	PROPN
iajs-2705	101	6	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	101	7	〉	〉	NOUN
iajs-2705	101	8	)	)	PUNCT
iajs-2705	101	9	=	=	PRON
iajs-2705	101	10	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	101	11	𝑛→∞	𝑛→∞	NUM
iajs-2705	101	12	𝑠𝑢𝑝	𝑠𝑢𝑝	NOUN
iajs-2705	101	13	║	║	VERB
iajs-2705	101	14	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	101	15	–	–	PUNCT
iajs-2705	101	16	𝒯𝓅	𝒯𝓅	NOUN
iajs-2705	101	17	║	║	NOUN
iajs-2705	101	18	=	=	PRON
iajs-2705	101	19	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	101	20	𝑛→∞	𝑛→∞	NUM
iajs-2705	101	21	𝑠𝑢𝑝[	𝑠𝑢𝑝[	VERB
iajs-2705	101	22	║	║	NOUN
iajs-2705	101	23	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	101	24	–	–	PUNCT
iajs-2705	101	25	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	101	26	║	║	NOUN
iajs-2705	101	27	+	+	CCONJ
iajs-2705	101	28	║	║	VERB
iajs-2705	101	29	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	101	30	–	–	PUNCT
iajs-2705	101	31	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	101	32	║	║	NOUN
iajs-2705	101	33	]	]	PUNCT
iajs-2705	101	34	≤	≤	NUM
iajs-2705	101	35	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	101	36	𝑛→∞	𝑛→∞	NUM
iajs-2705	101	37	𝑠𝑢𝑝[𝛿	𝑠𝑢𝑝[𝛿	NOUN
iajs-2705	101	38	║	║	NOUN
iajs-2705	101	39	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	101	40	–	–	PUNCT
iajs-2705	101	41	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	101	42	║	║	NOUN
iajs-2705	101	43	+	+	CCONJ
iajs-2705	101	44	𝒵𝒜(𝓃𝑥𝑛	𝒵𝒜(𝓃𝑥𝑛	PROPN
iajs-2705	101	45	,	,	PUNCT
iajs-2705	101	46	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	101	47	)	)	PUNCT
iajs-2705	101	48	≤	≤	NUM
iajs-2705	101	49	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	101	50	𝑛→∞	𝑛→∞	NUM
iajs-2705	101	51	𝑠𝑢𝑝	𝑠𝑢𝑝	NOUN
iajs-2705	101	52	║	║	VERB
iajs-2705	101	53	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	101	54	–	–	PUNCT
iajs-2705	101	55	𝓅	𝓅	NOUN
iajs-2705	101	56	║	║	PUNCT
iajs-2705	101	57	=	=	PUNCT
iajs-2705	102	1	r(𝓅	r(𝓅	PROPN
iajs-2705	102	2	,	,	PUNCT
iajs-2705	102	3	〈	〈	PROPN
iajs-2705	102	4	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	102	5	〉	〉	NOUN
iajs-2705	102	6	)	)	PUNCT
iajs-2705	102	7	=	=	SYM
iajs-2705	103	1	r(𝒞	r(𝒞	PROPN
iajs-2705	103	2	,	,	PUNCT
iajs-2705	103	3	〈	〈	NOUN
iajs-2705	103	4	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	103	5	〉	〉	NOUN
iajs-2705	103	6	)	)	PUNCT
iajs-2705	104	1	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	104	2	∈	∈	PROPN
iajs-2705	104	3	a(𝒞	a(𝒞	PROPN
iajs-2705	104	4	,	,	PUNCT
iajs-2705	104	5	〈	〈	PROPN
iajs-2705	104	6	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	104	7	〉	〉	NOUN
iajs-2705	104	8	)	)	PUNCT
iajs-2705	104	9	c	c	VERB
iajs-2705	104	10	a	a	DET
iajs-2705	104	11	uniformly	uniformly	ADV
iajs-2705	104	12	convex	convex	ADJ
iajs-2705	104	13	⇒	⇒	NOUN
iajs-2705	104	14	a(c	a(c	PROPN
iajs-2705	104	15	,	,	PUNCT
iajs-2705	104	16	〈	〈	PROPN
iajs-2705	104	17	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	104	18	〉	〉	NOUN
iajs-2705	104	19	)	)	PUNCT
iajs-2705	104	20	is	be	AUX
iajs-2705	104	21	a	a	DET
iajs-2705	104	22	singleton	singleton	NOUN
iajs-2705	104	23	⇒	⇒	NOUN
iajs-2705	104	24	𝓅	𝓅	NOUN
iajs-2705	104	25	=	=	SYM
iajs-2705	104	26	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	104	27	⇒	⇒	VERB
iajs-2705	104	28	𝓅	𝓅	PROPN
iajs-2705	104	29	∈	∈	PROPN
iajs-2705	104	30	f(𝒯	f(𝒯	PROPN
iajs-2705	104	31	)	)	PUNCT
iajs-2705	104	32	⇒	⇒	PROPN
iajs-2705	104	33	f(𝒯	f(𝒯	NOUN
iajs-2705	104	34	)	)	PUNCT
iajs-2705	104	35	≠	≠	PROPN
iajs-2705	104	36	∅.	∅.	VERB
iajs-2705	104	37	∎	∎	PROPN
iajs-2705	104	38	lemma	lemma	PROPN
iajs-2705	104	39	2.5	2.5	NUM
iajs-2705	104	40	:	:	PUNCT
iajs-2705	104	41	let	let	VERB
iajs-2705	104	42	𝒞	𝒞	PRON
iajs-2705	104	43	be	be	AUX
iajs-2705	104	44	a	a	DET
iajs-2705	104	45	nonempty	nonempty	ADJ
iajs-2705	104	46	convex	convex	NOUN
iajs-2705	104	47	and	and	CCONJ
iajs-2705	104	48	closed	closed	ADJ
iajs-2705	104	49	subset	subset	NOUN
iajs-2705	104	50	of	of	ADP
iajs-2705	104	51	a	a	DET
iajs-2705	104	52	banach	banach	NOUN
iajs-2705	104	53	space	space	NOUN
iajs-2705	104	54	ℳ	ℳ	NOUN
iajs-2705	104	55	and	and	CCONJ
iajs-2705	104	56	let	let	VERB
iajs-2705	104	57	𝒯	𝒯	PROPN
iajs-2705	104	58	:	:	PUNCT
iajs-2705	104	59	𝒞	𝒞	PROPN
iajs-2705	104	60	→	→	PUNCT
iajs-2705	104	61	𝒞	𝒞	PROPN
iajs-2705	104	62	a	a	DET
iajs-2705	104	63	𝛿𝒵𝒜	𝛿𝒵𝒜	NOUN
iajs-2705	104	64	−	−	PROPN
iajs-2705	104	65	quasi	quasi	ADJ
iajs-2705	104	66	contraction	contraction	NOUN
iajs-2705	104	67	mapping	mapping	NOUN
iajs-2705	104	68	.	.	PUNCT
iajs-2705	105	1	suppose	suppose	VERB
iajs-2705	105	2	that	that	SCONJ
iajs-2705	105	3	〈	〈	PROPN
iajs-2705	105	4	𝑟𝑛	𝑟𝑛	ADJ
iajs-2705	105	5	〉	〉	NOUN
iajs-2705	105	6	the	the	DET
iajs-2705	105	7	mann	mann	PROPN
iajs-2705	105	8	iteration	iteration	NOUN
iajs-2705	105	9	in	in	ADP
iajs-2705	105	10	𝒞	𝒞	PROPN
iajs-2705	105	11	if	if	SCONJ
iajs-2705	105	12	ℱ(𝒯	ℱ(𝒯	NOUN
iajs-2705	105	13	)	)	PUNCT
iajs-2705	105	14	≠	≠	PROPN
iajs-2705	105	15	∅	∅	NOUN
iajs-2705	105	16	,	,	PUNCT
iajs-2705	105	17	then	then	ADV
iajs-2705	105	18	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	105	19	𝑛→∞	𝑛→∞	PUNCT
iajs-2705	105	20	║	║	VERB
iajs-2705	105	21	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	105	22	–	–	PUNCT
iajs-2705	105	23	𝓅	𝓅	NOUN
iajs-2705	105	24	║	║	NOUN
iajs-2705	105	25	exists	exist	VERB
iajs-2705	105	26	.	.	PUNCT
iajs-2705	106	1	proof	proof	NOUN
iajs-2705	106	2	:	:	PUNCT
iajs-2705	106	3	let	let	VERB
iajs-2705	106	4	𝓅	𝓅	PART
iajs-2705	106	5	be	be	AUX
iajs-2705	106	6	a	a	DET
iajs-2705	106	7	c	c	NOUN
iajs-2705	106	8	fixed	fix	VERB
iajs-2705	106	9	point	point	NOUN
iajs-2705	106	10	of	of	ADP
iajs-2705	106	11	.	.	PUNCT
iajs-2705	107	1	the	the	DET
iajs-2705	107	2	following	follow	VERB
iajs-2705	107	3	inequalities	inequality	NOUN
iajs-2705	107	4	hold	hold	VERB
iajs-2705	107	5	║	║	NOUN
iajs-2705	107	6	𝑟𝑛+1	𝑟𝑛+1	ADP
iajs-2705	107	7	−	−	NOUN
iajs-2705	107	8	𝓅	𝓅	NOUN
iajs-2705	107	9	║	║	NOUN
iajs-2705	107	10	=	=	PUNCT
iajs-2705	108	1	║	║	NOUN
iajs-2705	108	2	(	(	PUNCT
iajs-2705	108	3	1	1	NUM
iajs-2705	108	4	−	−	NOUN
iajs-2705	108	5	𝑎𝑛	𝑎𝑛	NOUN
iajs-2705	108	6	)	)	PUNCT
iajs-2705	108	7	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	109	1	+	+	CCONJ
iajs-2705	109	2	𝑎𝑛	𝑎𝑛	PROPN
iajs-2705	109	3	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	109	4	−	−	NOUN
iajs-2705	109	5	𝓅	𝓅	ADP
iajs-2705	109	6	║	║	NOUN
iajs-2705	109	7	≤	≤	NOUN
iajs-2705	109	8	(	(	PUNCT
iajs-2705	109	9	1	1	NUM
iajs-2705	109	10	−	−	PROPN
iajs-2705	109	11	𝑎𝑛	𝑎𝑛	NOUN
iajs-2705	109	12	)	)	PUNCT
iajs-2705	109	13	║	║	NOUN
iajs-2705	109	14	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	109	15	−	−	ADP
iajs-2705	109	16	𝓅	𝓅	NOUN
iajs-2705	109	17	║	║	NOUN
iajs-2705	109	18	+	+	CCONJ
iajs-2705	109	19	𝑎𝑛	𝑎𝑛	PROPN
iajs-2705	109	20	║	║	PROPN
iajs-2705	109	21	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	109	22	−	−	PROPN
iajs-2705	109	23	𝓅	𝓅	NOUN
iajs-2705	109	24	║	║	NOUN
iajs-2705	109	25	≤	≤	NOUN
iajs-2705	109	26	(	(	PUNCT
iajs-2705	109	27	1	1	NUM
iajs-2705	109	28	−	−	PROPN
iajs-2705	109	29	𝑎𝑛	𝑎𝑛	NOUN
iajs-2705	109	30	)	)	PUNCT
iajs-2705	109	31	║	║	NOUN
iajs-2705	109	32	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	109	33	−	−	ADP
iajs-2705	109	34	𝓅	𝓅	NOUN
iajs-2705	109	35	║	║	NOUN
iajs-2705	109	36	+	+	CCONJ
iajs-2705	110	1	𝛿𝑎𝑛	𝛿𝑎𝑛	PROPN
iajs-2705	110	2	║	║	NOUN
iajs-2705	110	3	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	110	4	−	−	ADP
iajs-2705	110	5	𝓅	𝓅	ADP
iajs-2705	110	6	║	║	NOUN
iajs-2705	110	7	+	+	CCONJ
iajs-2705	110	8	𝑎𝑛𝒵𝒜	𝑎𝑛𝒵𝒜	NOUN
iajs-2705	110	9	(	(	PUNCT
iajs-2705	110	10	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	110	11	,	,	PUNCT
iajs-2705	110	12	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	110	13	)	)	PUNCT
iajs-2705	110	14	≤	≤	NOUN
iajs-2705	110	15	(	(	PUNCT
iajs-2705	110	16	1	1	NUM
iajs-2705	110	17	−	−	PROPN
iajs-2705	110	18	𝑎𝑛(1	𝑎𝑛(1	PROPN
iajs-2705	110	19	−	−	NOUN
iajs-2705	110	20	𝛿)	𝛿)	X
iajs-2705	110	21	║	║	NOUN
iajs-2705	110	22	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	110	23	−	−	ADP
iajs-2705	110	24	𝓅	𝓅	ADP
iajs-2705	110	25	║	║	NOUN
iajs-2705	110	26	║	║	ADP
iajs-2705	110	27	𝑟𝑛+1	𝑟𝑛+1	ADP
iajs-2705	110	28	−	−	NOUN
iajs-2705	110	29	𝓅	𝓅	ADP
iajs-2705	110	30	║	║	NOUN
iajs-2705	110	31	≤	≤	PUNCT
iajs-2705	110	32	║	║	NOUN
iajs-2705	110	33	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	110	34	−	−	ADP
iajs-2705	110	35	𝓅	𝓅	NOUN
iajs-2705	110	36	║	║	NOUN
iajs-2705	110	37	(	(	PUNCT
iajs-2705	110	38	2.14	2.14	NUM
iajs-2705	110	39	)	)	PUNCT
iajs-2705	110	40	so	so	ADV
iajs-2705	110	41	,	,	PUNCT
iajs-2705	110	42	{	{	PUNCT
iajs-2705	110	43	║	║	VERB
iajs-2705	110	44	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	110	45	−	−	ADP
iajs-2705	110	46	𝓅	𝓅	NOUN
iajs-2705	110	47	║	║	NOUN
iajs-2705	110	48	}	}	PUNCT
iajs-2705	110	49	is	be	AUX
iajs-2705	110	50	decreasing	decrease	VERB
iajs-2705	110	51	,	,	PUNCT
iajs-2705	110	52	for	for	ADP
iajs-2705	110	53	each	each	DET
iajs-2705	110	54	𝓅	𝓅	PROPN
iajs-2705	110	55	∈	∈	PROPN
iajs-2705	110	56	ℱ(𝒯	ℱ(𝒯	PROPN
iajs-2705	110	57	)	)	PUNCT
iajs-2705	110	58	,	,	PUNCT
iajs-2705	110	59	this	this	PRON
iajs-2705	110	60	implies	imply	VERB
iajs-2705	110	61	that	that	SCONJ
iajs-2705	110	62	the	the	DET
iajs-2705	110	63	sequence	sequence	NOUN
iajs-2705	110	64	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	110	65	𝑛→∞	𝑛→∞	PUNCT
iajs-2705	110	66	║	║	VERB
iajs-2705	110	67	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	110	68	–	–	PUNCT
iajs-2705	110	69	𝓅	𝓅	NOUN
iajs-2705	110	70	║	║	NOUN
iajs-2705	110	71	exists	exist	VERB
iajs-2705	110	72	.	.	PUNCT
iajs-2705	111	1	∎	∎	PROPN
iajs-2705	111	2	theorem	theorem	VERB
iajs-2705	111	3	2.6	2.6	NUM
iajs-2705	111	4	:	:	PUNCT
iajs-2705	111	5	let	let	VERB
iajs-2705	111	6	ℳ	ℳ	PRON
iajs-2705	111	7	be	be	AUX
iajs-2705	111	8	a	a	DET
iajs-2705	111	9	uniformly	uniformly	ADV
iajs-2705	111	10	convex	convex	NOUN
iajs-2705	111	11	banach	banach	NOUN
iajs-2705	111	12	space	space	NOUN
iajs-2705	111	13	,	,	PUNCT
iajs-2705	111	14	𝒞	𝒞	PROPN
iajs-2705	111	15	be	be	AUX
iajs-2705	111	16	nonempty	nonempty	ADJ
iajs-2705	111	17	convex	convex	ADJ
iajs-2705	111	18	and	and	CCONJ
iajs-2705	111	19	closed	closed	ADJ
iajs-2705	111	20	subset	subset	NOUN
iajs-2705	111	21	of	of	ADP
iajs-2705	111	22	ℳ	ℳ	PROPN
iajs-2705	111	23	and	and	CCONJ
iajs-2705	111	24	let	let	VERB
iajs-2705	111	25	𝒯	𝒯	PROPN
iajs-2705	111	26	:	:	PUNCT
iajs-2705	111	27	𝒞	𝒞	PROPN
iajs-2705	111	28	→	→	PUNCT
iajs-2705	111	29	𝒞	𝒞	PROPN
iajs-2705	111	30	a	a	DET
iajs-2705	111	31	𝛿𝒵𝒜	𝛿𝒵𝒜	NOUN
iajs-2705	111	32	−	−	PROPN
iajs-2705	111	33	quasi	quasi	ADJ
iajs-2705	111	34	contraction	contraction	NOUN
iajs-2705	111	35	mapping	mapping	NOUN
iajs-2705	111	36	.	.	PUNCT
iajs-2705	112	1	suppose	suppose	VERB
iajs-2705	112	2	that	that	SCONJ
iajs-2705	112	3	〈	〈	PROPN
iajs-2705	112	4	𝑟𝑛	𝑟𝑛	ADJ
iajs-2705	112	5	〉	〉	NOUN
iajs-2705	112	6	the	the	DET
iajs-2705	112	7	mann	mann	PROPN
iajs-2705	112	8	iteration	iteration	NOUN
iajs-2705	112	9	in	in	ADP
iajs-2705	112	10	𝒞.	𝒞.	PROPN
iajs-2705	112	11	then	then	ADV
iajs-2705	112	12	f(𝒯	f(𝒯	NOUN
iajs-2705	112	13	)	)	PUNCT
iajs-2705	112	14	≠	≠	PROPN
iajs-2705	112	15	∅	∅	NOUN
iajs-2705	112	16	if	if	SCONJ
iajs-2705	112	17	and	and	CCONJ
iajs-2705	112	18	only	only	ADV
iajs-2705	112	19	if	if	SCONJ
iajs-2705	112	20	〈	〈	PROPN
iajs-2705	112	21	𝑟𝑛	𝑟𝑛	ADJ
iajs-2705	112	22	〉	〉	NOUN
iajs-2705	112	23	is	be	AUX
iajs-2705	112	24	bounded	bound	VERB
iajs-2705	112	25	and	and	CCONJ
iajs-2705	112	26	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	112	27	𝑛→∞	𝑛→∞	PUNCT
iajs-2705	112	28	║	║	VERB
iajs-2705	112	29	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	112	30	–	–	PUNCT
iajs-2705	112	31	𝒯𝑟𝑛	𝒯𝑟𝑛	NOUN
iajs-2705	112	32	║	║	NOUN
iajs-2705	112	33	=	=	SYM
iajs-2705	112	34	0	0	X
iajs-2705	112	35	.	.	PUNCT
iajs-2705	112	36	proof	proof	NOUN
iajs-2705	112	37	.	.	PUNCT
iajs-2705	113	1	since	since	SCONJ
iajs-2705	113	2	𝓅	𝓅	PROPN
iajs-2705	113	3	∈	∈	PROPN
iajs-2705	113	4	f(𝒯	f(𝒯	PROPN
iajs-2705	113	5	)	)	PUNCT
iajs-2705	113	6	,	,	PUNCT
iajs-2705	113	7	from(2.14	from(2.14	NUM
iajs-2705	113	8	)	)	PUNCT
iajs-2705	113	9	we	we	PRON
iajs-2705	113	10	get	get	AUX
iajs-2705	113	11	:	:	PUNCT
iajs-2705	113	12	║	║	NOUN
iajs-2705	113	13	𝑟𝑛+1	𝑟𝑛+1	NUM
iajs-2705	113	14	−	−	ADP
iajs-2705	113	15	𝓅	𝓅	ADP
iajs-2705	113	16	║	║	NOUN
iajs-2705	113	17	≤	≤	PUNCT
iajs-2705	113	18	║	║	NOUN
iajs-2705	113	19	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	113	20	−	−	ADP
iajs-2705	113	21	𝓅	𝓅	ADP
iajs-2705	113	22	║	║	NOUN
iajs-2705	113	23	≤	≤	NOUN
iajs-2705	113	24	⋯	⋯	ADP
iajs-2705	113	25	≤	≤	NOUN
iajs-2705	113	26	║	║	NOUN
iajs-2705	113	27	𝑟0	𝑟0	NOUN
iajs-2705	113	28	−	−	ADP
iajs-2705	113	29	𝓅	𝓅	NOUN
iajs-2705	113	30	║	║	NOUN
iajs-2705	113	31	for	for	ADP
iajs-2705	113	32	all	all	DET
iajs-2705	113	33	n	n	DET
iajs-2705	113	34	∈	∈	PROPN
iajs-2705	113	35	n.	n.	NOUN
iajs-2705	113	36	thus	thus	ADV
iajs-2705	113	37	,	,	PUNCT
iajs-2705	113	38	〈	〈	PROPN
iajs-2705	113	39	𝑟𝑛	𝑟𝑛	ADJ
iajs-2705	113	40	〉	〉	NOUN
iajs-2705	113	41	is	be	AUX
iajs-2705	113	42	bounded	bound	VERB
iajs-2705	113	43	set	set	VERB
iajs-2705	113	44	in	in	ADP
iajs-2705	113	45	𝒞.	𝒞.	PROPN
iajs-2705	113	46	put	put	NOUN
iajs-2705	113	47	,	,	PUNCT
iajs-2705	113	48	𝑟	𝑟	X
iajs-2705	113	49	=	=	PRON
iajs-2705	113	50	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	113	51	𝑛→∞	𝑛→∞	PUNCT
iajs-2705	113	52	║	║	VERB
iajs-2705	113	53	𝑟𝑛	𝑟𝑛	PROPN
iajs-2705	113	54	–	–	PUNCT
iajs-2705	113	55	𝓅	𝓅	NOUN
iajs-2705	113	56	║	║	NOUN
iajs-2705	113	57	(	(	PUNCT
iajs-2705	113	58	2.15	2.15	NUM
iajs-2705	113	59	)	)	PUNCT
iajs-2705	113	60	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	113	61	𝑛→∞	𝑛→∞	NUM
iajs-2705	113	62	𝑠𝑢𝑝	𝑠𝑢𝑝	NOUN
iajs-2705	113	63	║	║	VERB
iajs-2705	113	64	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	113	65	–	–	PUNCT
iajs-2705	113	66	𝓅	𝓅	NOUN
iajs-2705	113	67	║	║	NOUN
iajs-2705	113	68	≤	≤	PUNCT
iajs-2705	113	69	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	113	70	𝑛→∞	𝑛→∞	NUM
iajs-2705	113	71	𝑠𝑢𝑝(𝛿	𝑠𝑢𝑝(𝛿	NOUN
iajs-2705	113	72	║	║	NOUN
iajs-2705	113	73	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	113	74	−	−	ADP
iajs-2705	113	75	𝓅	𝓅	NOUN
iajs-2705	113	76	║	║	NOUN
iajs-2705	113	77	+	+	CCONJ
iajs-2705	114	1	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	114	2	(	(	PUNCT
iajs-2705	114	3	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	114	4	,	,	PUNCT
iajs-2705	114	5	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	114	6	)	)	PUNCT
iajs-2705	114	7	)	)	PUNCT
iajs-2705	114	8	≤	≤	NUM
iajs-2705	114	9	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	114	10	𝑛→∞	𝑛→∞	NUM
iajs-2705	114	11	𝑠𝑢𝑝	𝑠𝑢𝑝	NOUN
iajs-2705	114	12	║	║	VERB
iajs-2705	114	13	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	114	14	–	–	PUNCT
iajs-2705	114	15	𝓅	𝓅	NOUN
iajs-2705	114	16	║	║	NOUN
iajs-2705	114	17	(	(	PUNCT
iajs-2705	114	18	2.16	2.16	NUM
iajs-2705	114	19	)	)	PUNCT
iajs-2705	114	20	having	have	VERB
iajs-2705	114	21	in	in	ADP
iajs-2705	114	22	mind	mind	NOUN
iajs-2705	114	23	(	(	PUNCT
iajs-2705	114	24	2.15	2.15	NUM
iajs-2705	114	25	)	)	PUNCT
iajs-2705	114	26	,	,	PUNCT
iajs-2705	114	27	inequality(2.16)becomes	inequality(2.16)becomes	PROPN
iajs-2705	114	28	:	:	PUNCT
iajs-2705	114	29	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	114	30	𝑛→∞	𝑛→∞	NUM
iajs-2705	114	31	𝑠𝑢𝑝	𝑠𝑢𝑝	NOUN
iajs-2705	114	32	║	║	VERB
iajs-2705	114	33	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	114	34	–	–	PUNCT
iajs-2705	114	35	𝓅	𝓅	NOUN
iajs-2705	114	36	║	║	NOUN
iajs-2705	114	37	≤	≤	ADJ
iajs-2705	114	38	𝑟	𝑟	NOUN
iajs-2705	114	39	(	(	PUNCT
iajs-2705	114	40	2.17	2.17	NUM
iajs-2705	114	41	)	)	PUNCT
iajs-2705	114	42	now	now	ADV
iajs-2705	114	43	,	,	PUNCT
iajs-2705	114	44	𝑟	𝑟	X
iajs-2705	114	45	=	=	PUNCT
iajs-2705	114	46	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	114	47	𝑛→∞	𝑛→∞	NUM
iajs-2705	114	48	║	║	VERB
iajs-2705	114	49	𝑟𝑛+1	𝑟𝑛+1	NOUN
iajs-2705	114	50	–	–	PUNCT
iajs-2705	114	51	𝓅	𝓅	ADP
iajs-2705	114	52	║	║	PUNCT
iajs-2705	114	53	=	=	PUNCT
iajs-2705	114	54	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	114	55	𝑛→∞	𝑛→∞	NUM
iajs-2705	114	56	║	║	NOUN
iajs-2705	114	57	(	(	PUNCT
iajs-2705	114	58	1	1	NUM
iajs-2705	114	59	−	−	PROPN
iajs-2705	114	60	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	114	61	)	)	PUNCT
iajs-2705	114	62	𝑟𝑛	𝑟𝑛	PROPN
iajs-2705	115	1	+	+	SYM
iajs-2705	115	2	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	115	3	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	115	4	−	−	PROPN
iajs-2705	115	5	𝓅	𝓅	PROPN
iajs-2705	115	6	║	║	PROPN
iajs-2705	115	7	ibn	ibn	PROPN
iajs-2705	115	8	al	al	PROPN
iajs-2705	115	9	-	-	PUNCT
iajs-2705	115	10	haitham	haitham	PROPN
iajs-2705	115	11	jour	jour	X
iajs-2705	115	12	.	.	PROPN
iajs-2705	115	13	for	for	ADP
iajs-2705	115	14	pure	pure	ADJ
iajs-2705	115	15	&	&	CCONJ
iajs-2705	115	16	appl	appl	PROPN
iajs-2705	115	17	.	.	PUNCT
iajs-2705	116	1	sci	sci	PROPN
iajs-2705	116	2	.	.	PROPN
iajs-2705	117	1	34(4)2021	34(4)2021	NUM
iajs-2705	117	2	84	84	NUM
iajs-2705	117	3	=	=	NUM
iajs-2705	117	4	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	117	5	𝑛→∞	𝑛→∞	NUM
iajs-2705	117	6	║	║	NOUN
iajs-2705	117	7	(	(	PUNCT
iajs-2705	117	8	1	1	NUM
iajs-2705	117	9	−	−	PROPN
iajs-2705	117	10	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	117	11	)	)	PUNCT
iajs-2705	117	12	(	(	PUNCT
iajs-2705	117	13	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	117	14	−	−	PROPN
iajs-2705	117	15	𝓅	𝓅	NOUN
iajs-2705	117	16	)	)	PUNCT
iajs-2705	118	1	+	+	PUNCT
iajs-2705	118	2	𝓈𝑛	𝓈𝑛	ADJ
iajs-2705	118	3	(	(	PUNCT
iajs-2705	118	4	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	118	5	−	−	PROPN
iajs-2705	118	6	𝓅	𝓅	NOUN
iajs-2705	118	7	)	)	PUNCT
iajs-2705	118	8	║	║	NOUN
iajs-2705	118	9	(	(	PUNCT
iajs-2705	118	10	2.18	2.18	NUM
iajs-2705	118	11	)	)	PUNCT
iajs-2705	118	12	thus	thus	ADV
iajs-2705	118	13	from	from	ADP
iajs-2705	118	14	eqs	eqs	X
iajs-2705	118	15	(	(	PUNCT
iajs-2705	118	16	2.15	2.15	NUM
iajs-2705	118	17	)	)	PUNCT
iajs-2705	118	18	,	,	PUNCT
iajs-2705	118	19	(	(	PUNCT
iajs-2705	118	20	2.17	2.17	NUM
iajs-2705	118	21	)	)	PUNCT
iajs-2705	118	22	,	,	PUNCT
iajs-2705	118	23	(	(	PUNCT
iajs-2705	118	24	2.18	2.18	NUM
iajs-2705	118	25	)	)	PUNCT
iajs-2705	118	26	and	and	CCONJ
iajs-2705	118	27	lemma(1.2	lemma(1.2	ADJ
iajs-2705	118	28	)	)	PUNCT
iajs-2705	118	29	we	we	PRON
iajs-2705	118	30	obtain	obtain	VERB
iajs-2705	118	31	,	,	PUNCT
iajs-2705	118	32	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-2705	118	33	𝑛→∞	𝑛→∞	ADV
iajs-2705	118	34	║	║	VERB
iajs-2705	118	35	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	118	36	–	–	PUNCT
iajs-2705	118	37	𝒯𝑟𝑛	𝒯𝑟𝑛	NOUN
iajs-2705	118	38	║	║	NOUN
iajs-2705	118	39	=	=	SYM
iajs-2705	118	40	0	0	X
iajs-2705	118	41	.	.	PUNCT
iajs-2705	119	1	now	now	ADV
iajs-2705	119	2	,	,	PUNCT
iajs-2705	119	3	we	we	PRON
iajs-2705	119	4	prove	prove	VERB
iajs-2705	119	5	that	that	SCONJ
iajs-2705	119	6	f(𝒯	f(𝒯	NOUN
iajs-2705	119	7	)	)	PUNCT
iajs-2705	119	8	≠	≠	PROPN
iajs-2705	119	9	∅.	∅.	VERB
iajs-2705	119	10	by	by	ADP
iajs-2705	119	11	the	the	DET
iajs-2705	119	12	same	same	ADJ
iajs-2705	119	13	proof	proof	ADJ
iajs-2705	119	14	way	way	NOUN
iajs-2705	119	15	of	of	ADP
iajs-2705	119	16	the	the	DET
iajs-2705	119	17	previous	previous	ADJ
iajs-2705	119	18	theorem	theorem	NOUN
iajs-2705	119	19	.	.	PUNCT
iajs-2705	120	1	∎	∎	PROPN
iajs-2705	120	2	now	now	ADV
iajs-2705	120	3	,	,	PUNCT
iajs-2705	120	4	we	we	PRON
iajs-2705	120	5	will	will	AUX
iajs-2705	120	6	study	study	VERB
iajs-2705	120	7	the	the	DET
iajs-2705	120	8	equivalent	equivalent	NOUN
iajs-2705	120	9	between	between	ADP
iajs-2705	120	10	many	many	ADJ
iajs-2705	120	11	of	of	ADP
iajs-2705	120	12	iterations	iteration	NOUN
iajs-2705	120	13	by	by	ADP
iajs-2705	120	14	using	use	VERB
iajs-2705	120	15	a	a	DET
iajs-2705	120	16	𝛿𝒵𝒜	𝛿𝒵𝒜	NOUN
iajs-2705	120	17	−	−	PROPN
iajs-2705	120	18	quasi	quasi	ADJ
iajs-2705	120	19	contraction	contraction	NOUN
iajs-2705	120	20	mappings	mapping	NOUN
iajs-2705	120	21	.	.	PUNCT
iajs-2705	121	1	theorem	theorem	VERB
iajs-2705	121	2	2.7	2.7	NUM
iajs-2705	121	3	:	:	PUNCT
iajs-2705	121	4	let	let	VERB
iajs-2705	121	5	𝒞	𝒞	PROPN
iajs-2705	121	6	closed	close	VERB
iajs-2705	121	7	a	a	DET
iajs-2705	121	8	nonempty	nonempty	ADJ
iajs-2705	121	9	convex	convex	NOUN
iajs-2705	121	10	and	and	CCONJ
iajs-2705	121	11	subset	subset	NOUN
iajs-2705	121	12	of	of	ADP
iajs-2705	121	13	a	a	DET
iajs-2705	121	14	banach	banach	NOUN
iajs-2705	121	15	space	space	NOUN
iajs-2705	121	16	𝑋	𝑋	PROPN
iajs-2705	121	17	,	,	PUNCT
iajs-2705	121	18	𝒯	𝒯	PROPN
iajs-2705	121	19	be	be	VERB
iajs-2705	121	20	a	a	DET
iajs-2705	121	21	𝛿𝒵𝒜	𝛿𝒵𝒜	NOUN
iajs-2705	121	22	−	−	PROPN
iajs-2705	121	23	quasi	quasi	ADJ
iajs-2705	121	24	contraction	contraction	NOUN
iajs-2705	121	25	mapping	mapping	NOUN
iajs-2705	121	26	on	on	ADP
iajs-2705	121	27	𝒞	𝒞	PROPN
iajs-2705	121	28	and	and	CCONJ
iajs-2705	121	29	has	have	VERB
iajs-2705	121	30	a	a	DET
iajs-2705	121	31	unique	unique	ADJ
iajs-2705	121	32	fixed	fix	VERB
iajs-2705	121	33	point	point	NOUN
iajs-2705	121	34	𝓅.	𝓅.	NOUN
iajs-2705	121	35	consider	consider	VERB
iajs-2705	121	36	the	the	DET
iajs-2705	121	37	zenali	zenali	VERB
iajs-2705	121	38	iteration	iteration	NOUN
iajs-2705	121	39	and	and	CCONJ
iajs-2705	121	40	mann	mann	PROPN
iajs-2705	121	41	iteration	iteration	NOUN
iajs-2705	121	42	with	with	ADP
iajs-2705	121	43	real	real	ADJ
iajs-2705	121	44	sequences	sequence	NOUN
iajs-2705	121	45	.	.	PUNCT
iajs-2705	122	1	then	then	ADV
iajs-2705	122	2	the	the	DET
iajs-2705	122	3	following	follow	VERB
iajs-2705	122	4	a	a	DET
iajs-2705	122	5	assertions	assertion	NOUN
iajs-2705	122	6	are	be	AUX
iajs-2705	122	7	equivalent	equivalent	ADJ
iajs-2705	122	8	:	:	PUNCT
iajs-2705	122	9	the	the	DET
iajs-2705	122	10	mann	mann	PROPN
iajs-2705	122	11	iteration	iteration	NOUN
iajs-2705	122	12	converges	converge	VERB
iajs-2705	122	13	to	to	ADP
iajs-2705	122	14	𝓅	𝓅	PROPN
iajs-2705	122	15	.	.	PUNCT
iajs-2705	123	1	the	the	DET
iajs-2705	123	2	zenali	zenali	VERB
iajs-2705	123	3	iteration	iteration	NOUN
iajs-2705	123	4	converges	converge	NOUN
iajs-2705	123	5	to	to	ADP
iajs-2705	123	6	𝓅.	𝓅.	NOUN
iajs-2705	123	7	proof	proof	NOUN
iajs-2705	123	8	.	.	PUNCT
iajs-2705	124	1	we	we	PRON
iajs-2705	124	2	show	show	VERB
iajs-2705	124	3	that	that	SCONJ
iajs-2705	124	4	(	(	PUNCT
iajs-2705	124	5	i	i	NOUN
iajs-2705	124	6	)	)	PUNCT
iajs-2705	124	7	→	→	SYM
iajs-2705	124	8	(	(	PUNCT
iajs-2705	124	9	ii	ii	NOUN
iajs-2705	124	10	)	)	PUNCT
iajs-2705	124	11	that	that	PRON
iajs-2705	124	12	is	be	AUX
iajs-2705	124	13	,	,	PUNCT
iajs-2705	124	14	if	if	SCONJ
iajs-2705	124	15	the	the	DET
iajs-2705	124	16	mann	mann	PROPN
iajs-2705	124	17	iteration	iteration	NOUN
iajs-2705	124	18	converges	converge	VERB
iajs-2705	124	19	,	,	PUNCT
iajs-2705	124	20	then	then	ADV
iajs-2705	124	21	the	the	DET
iajs-2705	124	22	zenali	zenali	VERB
iajs-2705	124	23	iteration	iteration	NOUN
iajs-2705	124	24	does	do	VERB
iajs-2705	124	25	too	too	ADV
iajs-2705	124	26	.	.	PUNCT
iajs-2705	125	1	since	since	SCONJ
iajs-2705	125	2	,	,	PUNCT
iajs-2705	125	3	the	the	DET
iajs-2705	125	4	mann	mann	PROPN
iajs-2705	125	5	iteration	iteration	NOUN
iajs-2705	125	6	converges	converge	VERB
iajs-2705	125	7	to	to	ADP
iajs-2705	125	8	𝓅	𝓅	NOUN
iajs-2705	125	9	⟹	⟹	NUM
iajs-2705	125	10	║	║	NOUN
iajs-2705	125	11	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	125	12	−	−	ADP
iajs-2705	125	13	𝓅	𝓅	ADP
iajs-2705	125	14	║	║	NOUN
iajs-2705	125	15	→	→	SYM
iajs-2705	125	16	0	0	NUM
iajs-2705	125	17	𝑎𝑠	𝑎𝑠	PROPN
iajs-2705	125	18	𝑛	𝑛	PROPN
iajs-2705	125	19	⟶	⟶	NOUN
iajs-2705	125	20	∞.	∞.	PROPN
iajs-2705	125	21	now	now	ADV
iajs-2705	125	22	,	,	PUNCT
iajs-2705	125	23	consider	consider	VERB
iajs-2705	125	24	mann	mann	NOUN
iajs-2705	125	25	and	and	CCONJ
iajs-2705	125	26	the	the	DET
iajs-2705	125	27	zenali	zenali	VERB
iajs-2705	125	28	iterations	iteration	NOUN
iajs-2705	125	29	,	,	PUNCT
iajs-2705	125	30	we	we	PRON
iajs-2705	125	31	have	have	VERB
iajs-2705	125	32	:	:	PUNCT
iajs-2705	125	33	║	║	NOUN
iajs-2705	125	34	𝑟𝑛+1	𝑟𝑛+1	NUM
iajs-2705	125	35	−	−	NUM
iajs-2705	125	36	𝑥𝑛+1	𝑥𝑛+1	NOUN
iajs-2705	125	37	║	║	NOUN
iajs-2705	126	1	=	=	PUNCT
iajs-2705	126	2	║	║	NOUN
iajs-2705	126	3	(	(	PUNCT
iajs-2705	126	4	1	1	NUM
iajs-2705	126	5	−	−	PROPN
iajs-2705	126	6	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	126	7	)	)	PUNCT
iajs-2705	126	8	𝑟𝑛	𝑟𝑛	PROPN
iajs-2705	126	9	+	+	SYM
iajs-2705	126	10	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	126	11	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	126	12	−	−	PROPN
iajs-2705	126	13	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	126	14	║	║	VERB
iajs-2705	126	15	≤	≤	NOUN
iajs-2705	126	16	(	(	PUNCT
iajs-2705	126	17	1	1	NUM
iajs-2705	126	18	−	−	PROPN
iajs-2705	126	19	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	126	20	)	)	PUNCT
iajs-2705	126	21	║	║	NOUN
iajs-2705	126	22	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	126	23	−	−	VERB
iajs-2705	126	24	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	126	25	║	║	PROPN
iajs-2705	126	26	+	+	CCONJ
iajs-2705	126	27	𝛿𝓈𝑛	𝛿𝓈𝑛	NOUN
iajs-2705	126	28	║	║	NOUN
iajs-2705	126	29	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	126	30	−	−	NOUN
iajs-2705	126	31	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	126	32	║	║	NOUN
iajs-2705	126	33	+	+	CCONJ
iajs-2705	126	34	𝓈𝑛𝒵𝒜	𝓈𝑛𝒵𝒜	NOUN
iajs-2705	126	35	(	(	PUNCT
iajs-2705	126	36	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	126	37	,	,	PUNCT
iajs-2705	126	38	𝓂𝑦𝑛	𝓂𝑦𝑛	NOUN
iajs-2705	126	39	)	)	PUNCT
iajs-2705	126	40	≤	≤	NUM
iajs-2705	126	41	(	(	PUNCT
iajs-2705	126	42	1	1	NUM
iajs-2705	126	43	−	−	PROPN
iajs-2705	126	44	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	126	45	)	)	PUNCT
iajs-2705	126	46	║	║	NOUN
iajs-2705	126	47	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	126	48	−	−	PUNCT
iajs-2705	127	1	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	127	2	║	║	PROPN
iajs-2705	127	3	+	+	CCONJ
iajs-2705	127	4	𝛿(1	𝛿(1	PROPN
iajs-2705	127	5	−	−	PROPN
iajs-2705	127	6	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	127	7	)	)	PUNCT
iajs-2705	127	8	║	║	NOUN
iajs-2705	127	9	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	127	10	−	−	NOUN
iajs-2705	127	11	𝑦𝑛	𝑦𝑛	ADP
iajs-2705	127	12	║	║	NOUN
iajs-2705	127	13	+	+	NOUN
iajs-2705	127	14	(	(	PUNCT
iajs-2705	127	15	1	1	NUM
iajs-2705	127	16	−	−	PROPN
iajs-2705	127	17	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	127	18	)	)	PUNCT
iajs-2705	127	19	𝐿𝓂	𝐿𝓂	PROPN
iajs-2705	127	20	(	(	PUNCT
iajs-2705	127	21	𝑟𝑛	𝑟𝑛	ADJ
iajs-2705	127	22	,	,	PUNCT
iajs-2705	127	23	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	127	24	)	)	PUNCT
iajs-2705	127	25	+	+	NUM
iajs-2705	127	26	𝛿𝓈𝑛	𝛿𝓈𝑛	NOUN
iajs-2705	127	27	║	║	NOUN
iajs-2705	127	28	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	127	29	−	−	NOUN
iajs-2705	127	30	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	127	31	║	║	NOUN
iajs-2705	127	32	+	+	CCONJ
iajs-2705	127	33	𝓈𝑛𝒵𝒜	𝓈𝑛𝒵𝒜	NOUN
iajs-2705	127	34	(	(	PUNCT
iajs-2705	127	35	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	127	36	,	,	PUNCT
iajs-2705	127	37	𝓂𝑦𝑛	𝓂𝑦𝑛	NOUN
iajs-2705	127	38	)	)	PUNCT
iajs-2705	127	39	=	=	PUNCT
iajs-2705	128	1	(	(	PUNCT
iajs-2705	128	2	1	1	NUM
iajs-2705	128	3	−	−	PROPN
iajs-2705	128	4	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	128	5	)	)	PUNCT
iajs-2705	128	6	║	║	NOUN
iajs-2705	128	7	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	128	8	−	−	PUNCT
iajs-2705	129	1	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	129	2	║	║	PROPN
iajs-2705	129	3	+	+	CCONJ
iajs-2705	129	4	𝛿	𝛿	ADJ
iajs-2705	129	5	║	║	NOUN
iajs-2705	129	6	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	129	7	−	−	NOUN
iajs-2705	129	8	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	129	9	║	║	NOUN
iajs-2705	129	10	+	+	CCONJ
iajs-2705	129	11	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	129	12	(	(	PUNCT
iajs-2705	129	13	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	129	14	,	,	PUNCT
iajs-2705	129	15	𝓂𝑦𝑛	𝓂𝑦𝑛	NOUN
iajs-2705	129	16	)	)	PUNCT
iajs-2705	129	17	(	(	PUNCT
iajs-2705	129	18	2.19	2.19	NUM
iajs-2705	129	19	)	)	PUNCT
iajs-2705	129	20	║	║	NOUN
iajs-2705	129	21	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	129	22	−	−	NOUN
iajs-2705	129	23	𝑦𝑛	𝑦𝑛	ADP
iajs-2705	129	24	║	║	NOUN
iajs-2705	129	25	=	=	PUNCT
iajs-2705	130	1	║	║	NOUN
iajs-2705	130	2	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	130	3	−	−	PROPN
iajs-2705	130	4	𝒯[(1	𝒯[(1	PROPN
iajs-2705	130	5	−	−	PROPN
iajs-2705	130	6	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	130	7	)	)	PUNCT
iajs-2705	130	8	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	130	9	−	−	PROPN
iajs-2705	130	10	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	130	11	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	130	12	]	]	PUNCT
iajs-2705	130	13	║	║	NOUN
iajs-2705	130	14	≤	≤	PUNCT
iajs-2705	130	15	║	║	NOUN
iajs-2705	130	16	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	130	17	−	−	PROPN
iajs-2705	130	18	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	130	19	║	║	NOUN
iajs-2705	130	20	+	+	CCONJ
iajs-2705	131	1	║	║	VERB
iajs-2705	131	2	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	131	3	−	−	PROPN
iajs-2705	131	4	𝒯[(1	𝒯[(1	PROPN
iajs-2705	131	5	−	−	PROPN
iajs-2705	131	6	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	131	7	)	)	PUNCT
iajs-2705	131	8	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	131	9	−	−	PROPN
iajs-2705	131	10	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	131	11	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	131	12	]	]	PUNCT
iajs-2705	131	13	║	║	NOUN
iajs-2705	131	14	≤	≤	PUNCT
iajs-2705	131	15	║	║	NOUN
iajs-2705	131	16	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	131	17	−	−	PROPN
iajs-2705	131	18	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	131	19	║	║	PROPN
iajs-2705	131	20	+	+	CCONJ
iajs-2705	131	21	𝛿	𝛿	ADJ
iajs-2705	131	22	║	║	NOUN
iajs-2705	131	23	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	131	24	−	−	PROPN
iajs-2705	131	25	(	(	PUNCT
iajs-2705	131	26	1	1	NUM
iajs-2705	131	27	−	−	PROPN
iajs-2705	131	28	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	131	29	)	)	PUNCT
iajs-2705	131	30	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	131	31	−	−	PROPN
iajs-2705	131	32	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	131	33	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	131	34	║	║	NOUN
iajs-2705	131	35	+	+	NOUN
iajs-2705	131	36	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	131	37	(	(	PUNCT
iajs-2705	131	38	𝓃𝑟𝑛	𝓃𝑟𝑛	NUM
iajs-2705	131	39	,	,	PUNCT
iajs-2705	131	40	𝓂[(1	𝓂[(1	PROPN
iajs-2705	131	41	−	−	PROPN
iajs-2705	131	42	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	131	43	)	)	PUNCT
iajs-2705	131	44	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	131	45	+	+	CCONJ
iajs-2705	131	46	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	131	47	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	131	48	]	]	PUNCT
iajs-2705	131	49	)	)	PUNCT
iajs-2705	131	50	≤	≤	NUM
iajs-2705	132	1	║	║	NOUN
iajs-2705	132	2	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	132	3	−	−	PROPN
iajs-2705	132	4	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	132	5	║	║	PROPN
iajs-2705	132	6	+	+	CCONJ
iajs-2705	132	7	𝛿(1	𝛿(1	PROPN
iajs-2705	132	8	−	−	PROPN
iajs-2705	132	9	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	132	10	)	)	PUNCT
iajs-2705	132	11	║	║	NOUN
iajs-2705	132	12	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	132	13	−	−	NOUN
iajs-2705	132	14	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	132	15	║	║	NOUN
iajs-2705	132	16	+	+	CCONJ
iajs-2705	132	17	𝛿𝓈𝑛	𝛿𝓈𝑛	NOUN
iajs-2705	132	18	║	║	NOUN
iajs-2705	132	19	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	132	20	−	−	PROPN
iajs-2705	132	21	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	132	22	║	║	NOUN
iajs-2705	132	23	+	+	NOUN
iajs-2705	132	24	𝛿2𝓈𝑛	𝛿2𝓈𝑛	NOUN
iajs-2705	132	25	║	║	NOUN
iajs-2705	132	26	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	132	27	−	−	NOUN
iajs-2705	132	28	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	132	29	║	║	NOUN
iajs-2705	132	30	+	+	CCONJ
iajs-2705	132	31	𝛿𝓈𝑛𝒵𝒜	𝛿𝓈𝑛𝒵𝒜	NOUN
iajs-2705	132	32	(	(	PUNCT
iajs-2705	132	33	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	132	34	,	,	PUNCT
iajs-2705	132	35	𝓂𝑧𝑛	𝓂𝑧𝑛	PROPN
iajs-2705	132	36	)	)	PUNCT
iajs-2705	133	1	+	+	CCONJ
iajs-2705	133	2	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	133	3	(	(	PUNCT
iajs-2705	133	4	𝓃𝑟𝑛	𝓃𝑟𝑛	NUM
iajs-2705	133	5	,	,	PUNCT
iajs-2705	133	6	𝓂[(1	𝓂[(1	PROPN
iajs-2705	133	7	−	−	PROPN
iajs-2705	133	8	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	133	9	)	)	PUNCT
iajs-2705	133	10	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	133	11	+	+	CCONJ
iajs-2705	133	12	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	133	13	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	133	14	]	]	PUNCT
iajs-2705	133	15	)	)	PUNCT
iajs-2705	133	16	=	=	SYM
iajs-2705	133	17	(	(	PUNCT
iajs-2705	133	18	1	1	NUM
iajs-2705	133	19	+	+	CCONJ
iajs-2705	133	20	𝛿	𝛿	PROPN
iajs-2705	133	21	𝓈𝑛	𝓈𝑛	ADJ
iajs-2705	133	22	)	)	PUNCT
iajs-2705	133	23	║	║	NOUN
iajs-2705	133	24	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	133	25	−	−	PUNCT
iajs-2705	134	1	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	134	2	║	║	PROPN
iajs-2705	134	3	+	+	CCONJ
iajs-2705	134	4	(	(	PUNCT
iajs-2705	134	5	𝛿(1	𝛿(1	PROPN
iajs-2705	134	6	−	−	PROPN
iajs-2705	134	7	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	134	8	)	)	PUNCT
iajs-2705	134	9	+	+	PUNCT
iajs-2705	134	10	𝛿2𝓈𝑛)	𝛿2𝓈𝑛)	NUM
iajs-2705	134	11	║	║	NOUN
iajs-2705	134	12	𝑟𝑛	𝑟𝑛	NUM
iajs-2705	134	13	−	−	NOUN
iajs-2705	134	14	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	134	15	║	║	NOUN
iajs-2705	134	16	+	+	NOUN
iajs-2705	134	17	𝛿𝓈𝑛𝒵𝒜	𝛿𝓈𝑛𝒵𝒜	NOUN
iajs-2705	134	18	(	(	PUNCT
iajs-2705	134	19	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	134	20	,	,	PUNCT
iajs-2705	134	21	𝓂𝑧𝑛	𝓂𝑧𝑛	NOUN
iajs-2705	134	22	)	)	PUNCT
iajs-2705	135	1	+	+	CCONJ
iajs-2705	135	2	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	135	3	(	(	PUNCT
iajs-2705	135	4	𝓃𝑟𝑛	𝓃𝑟𝑛	NUM
iajs-2705	135	5	,	,	PUNCT
iajs-2705	135	6	𝓂[(1	𝓂[(1	PROPN
iajs-2705	135	7	−	−	PROPN
iajs-2705	135	8	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	135	9	)	)	PUNCT
iajs-2705	135	10	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	135	11	+	+	CCONJ
iajs-2705	135	12	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	135	13	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	135	14	]	]	PUNCT
iajs-2705	135	15	)	)	PUNCT
iajs-2705	135	16	(	(	PUNCT
iajs-2705	135	17	2.20	2.20	NUM
iajs-2705	135	18	)	)	PUNCT
iajs-2705	136	1	║	║	NOUN
iajs-2705	136	2	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	136	3	−	−	NOUN
iajs-2705	136	4	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	136	5	║	║	NOUN
iajs-2705	136	6	=	=	PUNCT
iajs-2705	137	1	║	║	NOUN
iajs-2705	137	2	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	137	3	−	−	PROPN
iajs-2705	137	4	𝒯[(1	𝒯[(1	PROPN
iajs-2705	137	5	−	−	PROPN
iajs-2705	137	6	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	137	7	)	)	PUNCT
iajs-2705	137	8	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	137	9	−	−	NOUN
iajs-2705	137	10	𝓉𝑛	𝓉𝑛	ADJ
iajs-2705	137	11	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	137	12	]	]	PUNCT
iajs-2705	137	13	║	║	NOUN
iajs-2705	137	14	≤	≤	PUNCT
iajs-2705	137	15	║	║	NOUN
iajs-2705	137	16	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	137	17	−	−	PROPN
iajs-2705	137	18	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	137	19	║	║	NOUN
iajs-2705	137	20	+	+	CCONJ
iajs-2705	137	21	║	║	VERB
iajs-2705	137	22	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	137	23	−	−	PROPN
iajs-2705	137	24	𝒯[(1	𝒯[(1	ADJ
iajs-2705	137	25	−	−	PROPN
iajs-2705	137	26	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	137	27	)	)	PUNCT
iajs-2705	137	28	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	138	1	−	−	NOUN
iajs-2705	138	2	𝓉𝑛	𝓉𝑛	ADJ
iajs-2705	138	3	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	138	4	]	]	PUNCT
iajs-2705	138	5	║	║	VERB
iajs-2705	138	6	ibn	ibn	PROPN
iajs-2705	138	7	al	al	PROPN
iajs-2705	138	8	-	-	PUNCT
iajs-2705	138	9	haitham	haitham	PROPN
iajs-2705	138	10	jour	jour	X
iajs-2705	138	11	.	.	PROPN
iajs-2705	138	12	for	for	ADP
iajs-2705	138	13	pure	pure	ADJ
iajs-2705	138	14	&	&	CCONJ
iajs-2705	138	15	appl	appl	PROPN
iajs-2705	138	16	.	.	PUNCT
iajs-2705	139	1	sci	sci	PROPN
iajs-2705	139	2	.	.	PROPN
iajs-2705	140	1	34(4)2021	34(4)2021	NUM
iajs-2705	140	2	85	85	NUM
iajs-2705	140	3	≤	≤	NUM
iajs-2705	140	4	║	║	NOUN
iajs-2705	140	5	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	140	6	−	−	PROPN
iajs-2705	140	7	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	140	8	║	║	PROPN
iajs-2705	140	9	+	+	CCONJ
iajs-2705	140	10	𝛿	𝛿	ADJ
iajs-2705	140	11	║	║	NOUN
iajs-2705	140	12	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	140	13	−	−	PROPN
iajs-2705	140	14	(	(	PUNCT
iajs-2705	140	15	1	1	NUM
iajs-2705	140	16	−	−	NOUN
iajs-2705	140	17	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	140	18	)	)	PUNCT
iajs-2705	140	19	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	140	20	−	−	NOUN
iajs-2705	140	21	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	140	22	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	140	23	║	║	NOUN
iajs-2705	140	24	+	+	CCONJ
iajs-2705	140	25	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	140	26	(	(	PUNCT
iajs-2705	140	27	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	140	28	,	,	PUNCT
iajs-2705	140	29	𝓂𝑥𝑛	𝓂𝑥𝑛	PROPN
iajs-2705	140	30	)	)	PUNCT
iajs-2705	140	31	≤	≤	NUM
iajs-2705	141	1	║	║	NOUN
iajs-2705	141	2	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	141	3	−	−	PROPN
iajs-2705	141	4	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	141	5	║	║	PROPN
iajs-2705	141	6	+	+	CCONJ
iajs-2705	141	7	𝛿(1	𝛿(1	PROPN
iajs-2705	141	8	−	−	PROPN
iajs-2705	141	9	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	141	10	)	)	PUNCT
iajs-2705	142	1	║	║	NOUN
iajs-2705	142	2	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	142	3	−	−	ADP
iajs-2705	142	4	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	142	5	║	║	NOUN
iajs-2705	142	6	+	+	NUM
iajs-2705	142	7	𝛿𝓉𝑛	𝛿𝓉𝑛	NOUN
iajs-2705	142	8	║	║	NOUN
iajs-2705	142	9	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	142	10	−	−	PROPN
iajs-2705	142	11	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	142	12	║	║	NOUN
iajs-2705	142	13	+	+	CCONJ
iajs-2705	142	14	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	142	15	(	(	PUNCT
iajs-2705	142	16	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	142	17	,	,	PUNCT
iajs-2705	142	18	𝓂𝑥𝑛	𝓂𝑥𝑛	PROPN
iajs-2705	142	19	)	)	PUNCT
iajs-2705	142	20	≤	≤	NUM
iajs-2705	142	21	║	║	NOUN
iajs-2705	142	22	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	142	23	−	−	PROPN
iajs-2705	142	24	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	142	25	║	║	PROPN
iajs-2705	142	26	+	+	CCONJ
iajs-2705	142	27	𝛿(1	𝛿(1	PROPN
iajs-2705	142	28	−	−	PROPN
iajs-2705	142	29	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	142	30	)	)	PUNCT
iajs-2705	143	1	║	║	NOUN
iajs-2705	143	2	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	143	3	−	−	ADP
iajs-2705	143	4	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	143	5	║	║	NOUN
iajs-2705	143	6	+	+	NUM
iajs-2705	143	7	𝛿𝓉𝑛	𝛿𝓉𝑛	NOUN
iajs-2705	143	8	║	║	NOUN
iajs-2705	143	9	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	143	10	−	−	PROPN
iajs-2705	143	11	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	143	12	║	║	NOUN
iajs-2705	143	13	+	+	NOUN
iajs-2705	143	14	𝛿2𝓉𝑛	𝛿2𝓉𝑛	NOUN
iajs-2705	143	15	║	║	NOUN
iajs-2705	143	16	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	143	17	−	−	ADP
iajs-2705	143	18	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	143	19	║	║	NOUN
iajs-2705	143	20	+	+	CCONJ
iajs-2705	143	21	𝛿𝓉𝑛𝒵𝒜	𝛿𝓉𝑛𝒵𝒜	PROPN
iajs-2705	143	22	(	(	PUNCT
iajs-2705	143	23	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	143	24	,	,	PUNCT
iajs-2705	143	25	𝓂𝑥𝑛	𝓂𝑥𝑛	PROPN
iajs-2705	143	26	)	)	PUNCT
iajs-2705	144	1	+	+	CCONJ
iajs-2705	144	2	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	144	3	(	(	PUNCT
iajs-2705	144	4	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	144	5	,	,	PUNCT
iajs-2705	144	6	𝓂𝑥𝑛	𝓂𝑥𝑛	PROPN
iajs-2705	144	7	)	)	PUNCT
iajs-2705	145	1	=	=	PUNCT
iajs-2705	145	2	(	(	PUNCT
iajs-2705	145	3	1	1	NUM
iajs-2705	146	1	+	+	NOUN
iajs-2705	147	1	𝛿	𝛿	PRON
iajs-2705	147	2	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	147	3	)	)	PUNCT
iajs-2705	148	1	║	║	NOUN
iajs-2705	148	2	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	148	3	−	−	PUNCT
iajs-2705	148	4	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	148	5	║	║	PROPN
iajs-2705	148	6	+	+	CCONJ
iajs-2705	148	7	(	(	PUNCT
iajs-2705	148	8	𝛿(1	𝛿(1	PROPN
iajs-2705	148	9	−	−	PROPN
iajs-2705	148	10	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	148	11	)	)	PUNCT
iajs-2705	148	12	+	+	PUNCT
iajs-2705	148	13	𝛿2𝓉𝑛)	𝛿2𝓉𝑛)	PROPN
iajs-2705	148	14	║	║	NOUN
iajs-2705	148	15	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	148	16	−	−	ADP
iajs-2705	148	17	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	148	18	║	║	VERB
iajs-2705	148	19	+	+	NOUN
iajs-2705	148	20	(	(	PUNCT
iajs-2705	148	21	1	1	NUM
iajs-2705	148	22	+	+	NUM
iajs-2705	148	23	𝛿𝓉𝑛	𝛿𝓉𝑛	NOUN
iajs-2705	148	24	)	)	PUNCT
iajs-2705	148	25	𝒵𝒜	𝒵𝒜	PROPN
iajs-2705	148	26	(	(	PUNCT
iajs-2705	148	27	𝓃𝑟𝑛	𝓃𝑟𝑛	PROPN
iajs-2705	148	28	,	,	PUNCT
iajs-2705	148	29	𝓂𝑥𝑛	𝓂𝑥𝑛	PROPN
iajs-2705	148	30	)	)	PUNCT
iajs-2705	148	31	(	(	PUNCT
iajs-2705	148	32	2.21	2.21	NUM
iajs-2705	148	33	)	)	PUNCT
iajs-2705	148	34	substituting	substituting	NOUN
iajs-2705	148	35	(	(	PUNCT
iajs-2705	148	36	2.21	2.21	NUM
iajs-2705	148	37	)	)	PUNCT
iajs-2705	148	38	in	in	ADP
iajs-2705	148	39	(	(	PUNCT
iajs-2705	148	40	2.20	2.20	NUM
iajs-2705	148	41	)	)	PUNCT
iajs-2705	148	42	,	,	PUNCT
iajs-2705	148	43	we	we	PRON
iajs-2705	148	44	obtain	obtain	VERB
iajs-2705	148	45	║	║	NOUN
iajs-2705	148	46	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	148	47	−	−	NOUN
iajs-2705	148	48	𝑦𝑛	𝑦𝑛	ADP
iajs-2705	148	49	║	║	NOUN
iajs-2705	148	50	≤	≤	NUM
iajs-2705	148	51	(	(	PUNCT
iajs-2705	149	1	1	1	NUM
iajs-2705	149	2	+	+	CCONJ
iajs-2705	149	3	𝛿	𝛿	PROPN
iajs-2705	149	4	𝓈𝑛	𝓈𝑛	ADJ
iajs-2705	149	5	)	)	PUNCT
iajs-2705	149	6	║	║	NOUN
iajs-2705	149	7	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	149	8	−	−	PUNCT
iajs-2705	149	9	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	149	10	║	║	PROPN
iajs-2705	149	11	+	+	CCONJ
iajs-2705	149	12	(	(	PUNCT
iajs-2705	149	13	𝛿(1	𝛿(1	PROPN
iajs-2705	149	14	−	−	PROPN
iajs-2705	149	15	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	149	16	)	)	PUNCT
iajs-2705	149	17	+	+	PUNCT
iajs-2705	149	18	𝛿2𝓈𝑛	𝛿2𝓈𝑛	NOUN
iajs-2705	149	19	)	)	PUNCT
iajs-2705	149	20	(	(	PUNCT
iajs-2705	149	21	1	1	NUM
iajs-2705	149	22	+	+	NOUN
iajs-2705	149	23	𝛿	𝛿	PRON
iajs-2705	149	24	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	149	25	)	)	PUNCT
iajs-2705	150	1	║	║	NOUN
iajs-2705	150	2	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	150	3	−	−	PUNCT
iajs-2705	150	4	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	150	5	║	║	PROPN
iajs-2705	150	6	+	+	NOUN
iajs-2705	150	7	(	(	PUNCT
iajs-2705	150	8	𝛿(1	𝛿(1	PROPN
iajs-2705	150	9	−	−	PROPN
iajs-2705	150	10	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	150	11	)	)	PUNCT
iajs-2705	150	12	+	+	CCONJ
iajs-2705	150	13	𝛿2𝑎𝑛	𝛿2𝑎𝑛	X
iajs-2705	150	14	)	)	PUNCT
iajs-2705	150	15	(	(	PUNCT
iajs-2705	150	16	𝛿(1	𝛿(1	PROPN
iajs-2705	150	17	−	−	PROPN
iajs-2705	150	18	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	150	19	)	)	PUNCT
iajs-2705	151	1	+	+	PUNCT
iajs-2705	151	2	𝛿2𝓉𝑛)	𝛿2𝓉𝑛)	PROPN
iajs-2705	151	3	║	║	AUX
iajs-2705	151	4	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	151	5	−	−	ADP
iajs-2705	151	6	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	151	7	║	║	VERB
iajs-2705	151	8	+	+	PROPN
iajs-2705	151	9	(	(	PUNCT
iajs-2705	151	10	𝛿(1	𝛿(1	PROPN
iajs-2705	151	11	−	−	PROPN
iajs-2705	151	12	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	151	13	)	)	PUNCT
iajs-2705	152	1	+	+	CCONJ
iajs-2705	152	2	𝛿2𝓈𝑛)(1	𝛿2𝓈𝑛)(1	PROPN
iajs-2705	152	3	+	+	NUM
iajs-2705	152	4	𝛿	𝛿	PRON
iajs-2705	152	5	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	152	6	)	)	PUNCT
iajs-2705	152	7	𝒵𝒜	𝒵𝒜	PROPN
iajs-2705	152	8	(	(	PUNCT
iajs-2705	152	9	𝓃𝑟𝑛	𝓃𝑟𝑛	PROPN
iajs-2705	152	10	,	,	PUNCT
iajs-2705	152	11	𝓂𝑥𝑛	𝓂𝑥𝑛	PROPN
iajs-2705	152	12	)	)	PUNCT
iajs-2705	153	1	+	+	ADJ
iajs-2705	153	2	(	(	PUNCT
iajs-2705	153	3	1	1	NUM
iajs-2705	153	4	+	+	NOUN
iajs-2705	153	5	𝛿	𝛿	PRON
iajs-2705	153	6	𝓈𝑛	𝓈𝑛	ADJ
iajs-2705	153	7	)	)	PUNCT
iajs-2705	153	8	𝒵𝒜	𝒵𝒜	PROPN
iajs-2705	153	9	(	(	PUNCT
iajs-2705	153	10	𝓃𝑟𝑛	𝓃𝑟𝑛	PROPN
iajs-2705	153	11	,	,	PUNCT
iajs-2705	153	12	𝓂𝑧𝑛	𝓂𝑧𝑛	NOUN
iajs-2705	153	13	)	)	PUNCT
iajs-2705	153	14	(	(	PUNCT
iajs-2705	153	15	2.22	2.22	NUM
iajs-2705	153	16	)	)	PUNCT
iajs-2705	153	17	substituting	substituting	NOUN
iajs-2705	153	18	(	(	PUNCT
iajs-2705	153	19	2.22	2.22	NUM
iajs-2705	153	20	)	)	PUNCT
iajs-2705	153	21	in	in	ADP
iajs-2705	153	22	(	(	PUNCT
iajs-2705	153	23	2.19	2.19	NUM
iajs-2705	153	24	)	)	PUNCT
iajs-2705	153	25	,	,	PUNCT
iajs-2705	153	26	we	we	PRON
iajs-2705	153	27	obtain	obtain	VERB
iajs-2705	153	28	║	║	NOUN
iajs-2705	153	29	𝑟𝑛+1	𝑟𝑛+1	ADP
iajs-2705	154	1	−	−	NUM
iajs-2705	154	2	𝑥𝑛+1	𝑥𝑛+1	NUM
iajs-2705	154	3	║	║	NOUN
iajs-2705	154	4	≤	≤	NUM
iajs-2705	154	5	(	(	PUNCT
iajs-2705	154	6	1	1	NUM
iajs-2705	154	7	−	−	PROPN
iajs-2705	154	8	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	154	9	)	)	PUNCT
iajs-2705	154	10	║	║	NOUN
iajs-2705	154	11	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	154	12	−	−	PUNCT
iajs-2705	154	13	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	154	14	║	║	PROPN
iajs-2705	154	15	+	+	CCONJ
iajs-2705	154	16	𝛿(1	𝛿(1	PROPN
iajs-2705	154	17	+	+	CCONJ
iajs-2705	154	18	𝛿	𝛿	PROPN
iajs-2705	154	19	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	154	20	)	)	PUNCT
iajs-2705	154	21	║	║	NOUN
iajs-2705	154	22	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	154	23	−	−	PUNCT
iajs-2705	154	24	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	154	25	║	║	PROPN
iajs-2705	154	26	+	+	NOUN
iajs-2705	154	27	𝛿	𝛿	ADJ
iajs-2705	154	28	(	(	PUNCT
iajs-2705	154	29	𝛿(1	𝛿(1	PROPN
iajs-2705	154	30	−	−	PROPN
iajs-2705	154	31	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	154	32	)	)	PUNCT
iajs-2705	154	33	+	+	PUNCT
iajs-2705	154	34	𝛿2𝓈𝑛	𝛿2𝓈𝑛	NOUN
iajs-2705	154	35	)	)	PUNCT
iajs-2705	154	36	(	(	PUNCT
iajs-2705	154	37	1	1	NUM
iajs-2705	154	38	+	+	NOUN
iajs-2705	154	39	𝛿	𝛿	PRON
iajs-2705	154	40	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	154	41	)	)	PUNCT
iajs-2705	155	1	║	║	NOUN
iajs-2705	155	2	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	155	3	−	−	PUNCT
iajs-2705	155	4	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	155	5	║	║	PROPN
iajs-2705	155	6	+	+	PROPN
iajs-2705	155	7	𝛿2(1	𝛿2(1	NOUN
iajs-2705	155	8	−	−	PROPN
iajs-2705	155	9	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	155	10	−	−	PROPN
iajs-2705	155	11	𝛿))(1	𝛿))(1	PROPN
iajs-2705	155	12	−	−	PROPN
iajs-2705	155	13	𝓉𝑛(1	𝓉𝑛(1	PROPN
iajs-2705	155	14	−	−	PROPN
iajs-2705	155	15	𝛿))	𝛿))	NOUN
iajs-2705	155	16	║	║	NOUN
iajs-2705	155	17	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	155	18	−	−	ADP
iajs-2705	155	19	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	155	20	║	║	NOUN
iajs-2705	155	21	+	+	NOUN
iajs-2705	155	22	𝛿	𝛿	ADJ
iajs-2705	155	23	(	(	PUNCT
iajs-2705	155	24	𝛿(1	𝛿(1	PROPN
iajs-2705	155	25	−	−	PROPN
iajs-2705	155	26	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	155	27	)	)	PUNCT
iajs-2705	156	1	+	+	CCONJ
iajs-2705	156	2	𝛿2𝓈𝑛)(1	𝛿2𝓈𝑛)(1	PROPN
iajs-2705	156	3	+	+	NUM
iajs-2705	156	4	𝛿	𝛿	PRON
iajs-2705	156	5	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	156	6	)	)	PUNCT
iajs-2705	156	7	𝒵𝒜	𝒵𝒜	PROPN
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iajs-2705	157	1	+	+	VERB
iajs-2705	157	2	𝛿(1	𝛿(1	PROPN
iajs-2705	157	3	+	+	CCONJ
iajs-2705	157	4	𝛿	𝛿	PROPN
iajs-2705	157	5	𝓈𝑛	𝓈𝑛	ADJ
iajs-2705	157	6	)	)	PUNCT
iajs-2705	157	7	𝒵𝒜	𝒵𝒜	PROPN
iajs-2705	157	8	(	(	PUNCT
iajs-2705	157	9	𝓃𝑟𝑛	𝓃𝑟𝑛	PROPN
iajs-2705	157	10	,	,	PUNCT
iajs-2705	157	11	𝓂𝑧𝑛	𝓂𝑧𝑛	NOUN
iajs-2705	157	12	)	)	PUNCT
iajs-2705	158	1	+	+	CCONJ
iajs-2705	158	2	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	158	3	(	(	PUNCT
iajs-2705	158	4	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	158	5	,	,	PUNCT
iajs-2705	158	6	𝓂𝑦𝑛	𝓂𝑦𝑛	NOUN
iajs-2705	158	7	)	)	PUNCT
iajs-2705	158	8	≤	≤	PUNCT
iajs-2705	159	1	[	[	X
iajs-2705	159	2	(	(	PUNCT
iajs-2705	159	3	1	1	NUM
iajs-2705	159	4	−	−	NOUN
iajs-2705	159	5	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	159	6	)	)	PUNCT
iajs-2705	159	7	+	+	CCONJ
iajs-2705	159	8	𝛿(1	𝛿(1	PROPN
iajs-2705	159	9	+	+	CCONJ
iajs-2705	159	10	𝛿	𝛿	PROPN
iajs-2705	159	11	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	159	12	)	)	PUNCT
iajs-2705	159	13	+	+	CCONJ
iajs-2705	159	14	𝛿	𝛿	X
iajs-2705	159	15	(	(	PUNCT
iajs-2705	159	16	𝛿(1	𝛿(1	PROPN
iajs-2705	159	17	−	−	PUNCT
iajs-2705	159	18	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	159	19	)	)	PUNCT
iajs-2705	159	20	+	+	CCONJ
iajs-2705	159	21	𝛿2𝓈𝑛)(1	𝛿2𝓈𝑛)(1	PROPN
iajs-2705	159	22	+	+	NUM
iajs-2705	159	23	𝛿𝓉𝑛	𝛿𝓉𝑛	PROPN
iajs-2705	159	24	)	)	PUNCT
iajs-2705	159	25	]	]	PUNCT
iajs-2705	160	1	║	║	NOUN
iajs-2705	160	2	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	160	3	−	−	PUNCT
iajs-2705	160	4	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	160	5	║	║	NOUN
iajs-2705	160	6	+	+	NOUN
iajs-2705	160	7	(	(	PUNCT
iajs-2705	160	8	(	(	PUNCT
iajs-2705	160	9	1	1	NUM
iajs-2705	160	10	−	−	NOUN
iajs-2705	160	11	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	160	12	−	−	NUM
iajs-2705	160	13	𝛿)	𝛿)	NOUN
iajs-2705	160	14	║	║	NOUN
iajs-2705	160	15	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	160	16	−	−	ADP
iajs-2705	160	17	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	160	18	║	║	NOUN
iajs-2705	160	19	+	+	CCONJ
iajs-2705	160	20	𝛿	𝛿	X
iajs-2705	160	21	(	(	PUNCT
iajs-2705	160	22	𝛿(1	𝛿(1	PROPN
iajs-2705	160	23	−	−	PROPN
iajs-2705	160	24	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	160	25	)	)	PUNCT
iajs-2705	160	26	+	+	CCONJ
iajs-2705	160	27	𝛿2𝓈𝑛)(1	𝛿2𝓈𝑛)(1	PROPN
iajs-2705	160	28	+	+	CCONJ
iajs-2705	160	29	𝛿𝓉𝑛	𝛿𝓉𝑛	NOUN
iajs-2705	160	30	)	)	PUNCT
iajs-2705	160	31	𝒵	𝒵	PROPN
iajs-2705	160	32	𝑚𝑖𝑛	𝑚𝑖𝑛	NOUN
iajs-2705	160	33	{	{	PUNCT
iajs-2705	160	34	𝓃	𝓃	NOUN
iajs-2705	160	35	║	║	PROPN
iajs-2705	160	36	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	160	37	−	−	PROPN
iajs-2705	160	38	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	160	39	║	║	PROPN
iajs-2705	160	40	,	,	PUNCT
iajs-2705	160	41	𝓂	𝓂	NOUN
iajs-2705	160	42	║	║	NOUN
iajs-2705	160	43	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	160	44	−	−	PROPN
iajs-2705	160	45	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	160	46	║	║	NOUN
iajs-2705	160	47	,	,	PUNCT
iajs-2705	160	48	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	160	49	║	║	NOUN
iajs-2705	160	50	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	160	51	−	−	PROPN
iajs-2705	160	52	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	160	53	║	║	NOUN
iajs-2705	160	54	,	,	PUNCT
iajs-2705	160	55	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	160	56	║	║	NOUN
iajs-2705	160	57	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	160	58	−	−	PROPN
iajs-2705	160	59	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	160	60	║	║	PROPN
iajs-2705	160	61	}	}	PUNCT
iajs-2705	160	62	+	+	ADJ
iajs-2705	160	63	𝛿(1	𝛿(1	PROPN
iajs-2705	160	64	+	+	CCONJ
iajs-2705	160	65	𝛿	𝛿	PROPN
iajs-2705	160	66	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	160	67	)	)	PUNCT
iajs-2705	160	68	𝒵	𝒵	PROPN
iajs-2705	160	69	𝑚𝑖𝑛	𝑚𝑖𝑛	NOUN
iajs-2705	160	70	{	{	PUNCT
iajs-2705	160	71	𝓃	𝓃	NOUN
iajs-2705	160	72	║	║	PROPN
iajs-2705	160	73	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	160	74	−	−	PROPN
iajs-2705	160	75	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	160	76	║	║	PROPN
iajs-2705	160	77	,	,	PUNCT
iajs-2705	160	78	𝓂	𝓂	NOUN
iajs-2705	160	79	║	║	PROPN
iajs-2705	160	80	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	160	81	−	−	PROPN
iajs-2705	160	82	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	160	83	║	║	NOUN
iajs-2705	160	84	,	,	PUNCT
iajs-2705	160	85	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	160	86	║	║	NOUN
iajs-2705	160	87	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	160	88	−	−	PROPN
iajs-2705	160	89	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	160	90	║	║	NOUN
iajs-2705	160	91	,	,	PUNCT
iajs-2705	160	92	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	160	93	║	║	NOUN
iajs-2705	160	94	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	160	95	−	−	PROPN
iajs-2705	160	96	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	160	97	║	║	PROPN
iajs-2705	160	98	}	}	PUNCT
iajs-2705	160	99	+	+	CCONJ
iajs-2705	160	100	𝒵	𝒵	PROPN
iajs-2705	160	101	𝑚𝑖𝑛{𝓃	𝑚𝑖𝑛{𝓃	VERB
iajs-2705	160	102	║	║	NOUN
iajs-2705	160	103	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	160	104	−	−	PROPN
iajs-2705	160	105	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	160	106	║	║	PROPN
iajs-2705	160	107	,	,	PUNCT
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iajs-2705	160	109	║	║	NOUN
iajs-2705	160	110	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	160	111	−	−	NOUN
iajs-2705	160	112	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	160	113	║	║	NOUN
iajs-2705	160	114	,	,	PUNCT
iajs-2705	160	115	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	160	116	║	║	NOUN
iajs-2705	160	117	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	160	118	−	−	VERB
iajs-2705	160	119	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	160	120	║	║	PROPN
iajs-2705	160	121	,	,	PUNCT
iajs-2705	160	122	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	160	123	║	║	NOUN
iajs-2705	160	124	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	160	125	−	−	PROPN
iajs-2705	160	126	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	160	127	║	║	NOUN
iajs-2705	160	128	}	}	PUNCT
iajs-2705	160	129	let	let	VERB
iajs-2705	160	130	𝜇𝑛	𝜇𝑛	INTJ
iajs-2705	160	131	=	=	SYM
iajs-2705	160	132	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	160	133	−	−	PROPN
iajs-2705	160	134	𝛿	𝛿	NOUN
iajs-2705	160	135	)	)	PUNCT
iajs-2705	160	136	𝜖	𝜖	PROPN
iajs-2705	160	137	(	(	PUNCT
iajs-2705	160	138	0	0	NUM
iajs-2705	160	139	,	,	PUNCT
iajs-2705	160	140	1	1	NUM
iajs-2705	160	141	)	)	PUNCT
iajs-2705	160	142	,	,	PUNCT
iajs-2705	161	1	𝒱𝑛	𝒱𝑛	PROPN
iajs-2705	161	2	=	=	SYM
iajs-2705	161	3	║	║	NOUN
iajs-2705	161	4	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	161	5	−	−	ADP
iajs-2705	161	6	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	161	7	║	║	NOUN
iajs-2705	161	8	𝒰𝑛	𝒰𝑛	PROPN
iajs-2705	161	9	=	=	SYM
iajs-2705	161	10	[	[	X
iajs-2705	161	11	(	(	PUNCT
iajs-2705	161	12	1	1	NUM
iajs-2705	161	13	−	−	NOUN
iajs-2705	161	14	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	161	15	)	)	PUNCT
iajs-2705	161	16	+	+	CCONJ
iajs-2705	161	17	𝛿(1	𝛿(1	PROPN
iajs-2705	161	18	+	+	CCONJ
iajs-2705	161	19	𝛿𝓈𝑛	𝛿𝓈𝑛	NOUN
iajs-2705	161	20	)	)	PUNCT
iajs-2705	161	21	+	+	CCONJ
iajs-2705	161	22	𝛿(𝛿(1	𝛿(𝛿(1	ADP
iajs-2705	161	23	−	−	PROPN
iajs-2705	161	24	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	161	25	)	)	PUNCT
iajs-2705	161	26	+	+	CCONJ
iajs-2705	161	27	𝛿2𝓈𝑛)(1	𝛿2𝓈𝑛)(1	PROPN
iajs-2705	161	28	+	+	CCONJ
iajs-2705	161	29	𝛿𝓉𝑛	𝛿𝓉𝑛	PROPN
iajs-2705	161	30	)	)	PUNCT
iajs-2705	161	31	]	]	PUNCT
iajs-2705	162	1	║	║	VERB
iajs-2705	162	2	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	162	3	−	−	PUNCT
iajs-2705	162	4	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	162	5	║	║	PROPN
iajs-2705	162	6	+	+	NOUN
iajs-2705	162	7	𝛿	𝛿	ADJ
iajs-2705	162	8	(	(	PUNCT
iajs-2705	162	9	𝛿(1	𝛿(1	PROPN
iajs-2705	162	10	−	−	PROPN
iajs-2705	162	11	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	162	12	)	)	PUNCT
iajs-2705	162	13	+	+	CCONJ
iajs-2705	162	14	𝛿2𝓈𝑛)(1	𝛿2𝓈𝑛)(1	PROPN
iajs-2705	162	15	+	+	NUM
iajs-2705	162	16	𝛿	𝛿	PRON
iajs-2705	162	17	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	162	18	)	)	PUNCT
iajs-2705	162	19	𝒵	𝒵	PROPN
iajs-2705	162	20	𝑚𝑖𝑛	𝑚𝑖𝑛	NOUN
iajs-2705	162	21	{	{	PUNCT
iajs-2705	162	22	𝓃	𝓃	NOUN
iajs-2705	162	23	║	║	PROPN
iajs-2705	162	24	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	162	25	−	−	PROPN
iajs-2705	163	1	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	163	2	║	║	PROPN
iajs-2705	163	3	,	,	PUNCT
iajs-2705	163	4	𝓂	𝓂	NOUN
iajs-2705	163	5	║	║	NOUN
iajs-2705	163	6	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	163	7	−	−	PROPN
iajs-2705	163	8	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	163	9	║	║	NOUN
iajs-2705	163	10	,	,	PUNCT
iajs-2705	163	11	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	163	12	║	║	NOUN
iajs-2705	163	13	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	163	14	−	−	PROPN
iajs-2705	163	15	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	163	16	║	║	NOUN
iajs-2705	163	17	,	,	PUNCT
iajs-2705	163	18	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	163	19	║	║	NOUN
iajs-2705	163	20	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	163	21	−	−	PROPN
iajs-2705	163	22	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	163	23	║	║	PROPN
iajs-2705	163	24	}	}	PUNCT
iajs-2705	163	25	+	+	CCONJ
iajs-2705	163	26	𝛿(1	𝛿(1	PROPN
iajs-2705	163	27	+	+	CCONJ
iajs-2705	163	28	𝛿	𝛿	PROPN
iajs-2705	163	29	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	163	30	)	)	PUNCT
iajs-2705	163	31	𝒵	𝒵	PROPN
iajs-2705	163	32	𝑚𝑖𝑛	𝑚𝑖𝑛	NOUN
iajs-2705	163	33	{	{	PUNCT
iajs-2705	163	34	𝓃	𝓃	NOUN
iajs-2705	163	35	║	║	PROPN
iajs-2705	163	36	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	163	37	−	−	PUNCT
iajs-2705	163	38	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	163	39	║	║	PROPN
iajs-2705	163	40	,	,	PUNCT
iajs-2705	163	41	𝓂	𝓂	NOUN
iajs-2705	163	42	║	║	NOUN
iajs-2705	163	43	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	163	44	−	−	PROPN
iajs-2705	163	45	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	163	46	║	║	NOUN
iajs-2705	163	47	,	,	PUNCT
iajs-2705	163	48	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	163	49	║	║	NOUN
iajs-2705	163	50	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	163	51	−	−	PROPN
iajs-2705	163	52	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	163	53	║	║	NOUN
iajs-2705	163	54	,	,	PUNCT
iajs-2705	163	55	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	163	56	║	║	NOUN
iajs-2705	163	57	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	163	58	−	−	PROPN
iajs-2705	163	59	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	163	60	║	║	PROPN
iajs-2705	163	61	}	}	PUNCT
iajs-2705	163	62	ibn	ibn	PROPN
iajs-2705	163	63	al	al	PROPN
iajs-2705	163	64	-	-	PUNCT
iajs-2705	163	65	haitham	haitham	PROPN
iajs-2705	163	66	jour	jour	X
iajs-2705	163	67	.	.	PROPN
iajs-2705	164	1	for	for	ADP
iajs-2705	164	2	pure	pure	ADJ
iajs-2705	164	3	&	&	CCONJ
iajs-2705	164	4	appl	appl	PROPN
iajs-2705	164	5	.	.	PUNCT
iajs-2705	165	1	sci	sci	PROPN
iajs-2705	165	2	.	.	PROPN
iajs-2705	166	1	34(4)2021	34(4)2021	NUM
iajs-2705	166	2	86	86	NUM
iajs-2705	166	3	+	+	ADJ
iajs-2705	166	4	𝒵	𝒵	PRON
iajs-2705	166	5	𝑚𝑖𝑛{𝓃	𝑚𝑖𝑛{𝓃	VERB
iajs-2705	166	6	║	║	NOUN
iajs-2705	166	7	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	166	8	−	−	PROPN
iajs-2705	166	9	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	166	10	║	║	PROPN
iajs-2705	166	11	,	,	PUNCT
iajs-2705	166	12	𝓂	𝓂	NOUN
iajs-2705	166	13	║	║	NOUN
iajs-2705	166	14	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	166	15	−	−	NOUN
iajs-2705	166	16	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	166	17	║	║	NOUN
iajs-2705	166	18	,	,	PUNCT
iajs-2705	166	19	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	166	20	║	║	NOUN
iajs-2705	166	21	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	166	22	−	−	VERB
iajs-2705	166	23	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	166	24	║	║	PROPN
iajs-2705	166	25	,	,	PUNCT
iajs-2705	166	26	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	166	27	║	║	NOUN
iajs-2705	166	28	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	166	29	−	−	PROPN
iajs-2705	166	30	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	166	31	║	║	NOUN
iajs-2705	166	32	}	}	PUNCT
iajs-2705	166	33	furthermore	furthermore	ADV
iajs-2705	166	34	,	,	PUNCT
iajs-2705	166	35	using	use	VERB
iajs-2705	166	36	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	166	37	=	=	SYM
iajs-2705	166	38	𝓅	𝓅	PROPN
iajs-2705	166	39	and	and	CCONJ
iajs-2705	166	40	║	║	NOUN
iajs-2705	166	41	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	166	42	−	−	ADP
iajs-2705	166	43	𝓅	𝓅	ADP
iajs-2705	166	44	║	║	NOUN
iajs-2705	166	45	→	→	SYM
iajs-2705	166	46	0	0	NUM
iajs-2705	166	47	,	,	PUNCT
iajs-2705	166	48	we	we	PRON
iajs-2705	166	49	have	have	VERB
iajs-2705	166	50	║	║	NOUN
iajs-2705	166	51	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	166	52	−	−	PROPN
iajs-2705	166	53	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	166	54	║	║	NOUN
iajs-2705	166	55	=	=	PUNCT
iajs-2705	167	1	║	║	NOUN
iajs-2705	167	2	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	167	3	−	−	NOUN
iajs-2705	167	4	𝓅	𝓅	NOUN
iajs-2705	167	5	+	+	CCONJ
iajs-2705	168	1	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	168	2	−	−	PROPN
iajs-2705	169	1	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	169	2	║	║	NOUN
iajs-2705	169	3	≤	≤	PUNCT
iajs-2705	169	4	║	║	NOUN
iajs-2705	169	5	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	169	6	−	−	ADP
iajs-2705	169	7	𝓅	𝓅	NOUN
iajs-2705	169	8	║	║	NOUN
iajs-2705	169	9	+	+	CCONJ
iajs-2705	169	10	𝛿	𝛿	ADJ
iajs-2705	169	11	║	║	NOUN
iajs-2705	169	12	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	169	13	−	−	ADP
iajs-2705	169	14	𝓅	𝓅	NOUN
iajs-2705	169	15	║	║	NOUN
iajs-2705	169	16	+	+	CCONJ
iajs-2705	169	17	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	169	18	(	(	PUNCT
iajs-2705	169	19	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	169	20	,	,	PUNCT
iajs-2705	169	21	𝓂𝓅	𝓂𝓅	X
iajs-2705	169	22	)	)	PUNCT
iajs-2705	169	23	=	=	PUNCT
iajs-2705	169	24	(	(	PUNCT
iajs-2705	169	25	1	1	NUM
iajs-2705	169	26	+	+	NUM
iajs-2705	169	27	𝛿)	𝛿)	NOUN
iajs-2705	169	28	║	║	NOUN
iajs-2705	169	29	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	169	30	−	−	ADP
iajs-2705	169	31	𝓅	𝓅	ADP
iajs-2705	169	32	║	║	NOUN
iajs-2705	169	33	+	+	NOUN
iajs-2705	169	34	𝒵𝑚𝑖𝑛	𝒵𝑚𝑖𝑛	PROPN
iajs-2705	169	35	{	{	PUNCT
iajs-2705	169	36	𝓃	𝓃	X
iajs-2705	169	37	║	║	NOUN
iajs-2705	169	38	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	169	39	−	−	PUNCT
iajs-2705	169	40	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	169	41	║	║	PROPN
iajs-2705	169	42	,	,	PUNCT
iajs-2705	169	43	𝓂	𝓂	NOUN
iajs-2705	169	44	║	║	NOUN
iajs-2705	169	45	𝓅	𝓅	X
iajs-2705	169	46	−	−	PROPN
iajs-2705	169	47	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	169	48	║	║	PROPN
iajs-2705	169	49	,	,	PUNCT
iajs-2705	169	50	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	169	51	║	║	NOUN
iajs-2705	169	52	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	169	53	−	−	PROPN
iajs-2705	169	54	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	169	55	║	║	PROPN
iajs-2705	169	56	,	,	PUNCT
iajs-2705	169	57	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	169	58	║	║	NOUN
iajs-2705	169	59	𝓅	𝓅	NOUN
iajs-2705	169	60	−	−	PROPN
iajs-2705	169	61	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	169	62	║	║	PROPN
iajs-2705	169	63	}	}	PUNCT
iajs-2705	169	64	then	then	ADV
iajs-2705	169	65	,	,	PUNCT
iajs-2705	169	66	║	║	NOUN
iajs-2705	169	67	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	169	68	−	−	PROPN
iajs-2705	169	69	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	169	70	║	║	NOUN
iajs-2705	169	71	→	→	SYM
iajs-2705	169	72	0	0	NUM
iajs-2705	169	73	.	.	PUNCT
iajs-2705	170	1	now	now	ADV
iajs-2705	170	2	,	,	PUNCT
iajs-2705	170	3	because	because	SCONJ
iajs-2705	170	4	of	of	ADP
iajs-2705	170	5	these	these	DET
iajs-2705	170	6	results	result	NOUN
iajs-2705	170	7	,	,	PUNCT
iajs-2705	170	8	we	we	PRON
iajs-2705	170	9	get	get	VERB
iajs-2705	170	10	𝒰𝑛	𝒰𝑛	PROPN
iajs-2705	170	11	→	→	SYM
iajs-2705	170	12	0	0	NUM
iajs-2705	170	13	by	by	ADP
iajs-2705	170	14	applying	apply	VERB
iajs-2705	170	15	lemma	lemma	PROPN
iajs-2705	170	16	(	(	PUNCT
iajs-2705	170	17	1.3	1.3	NUM
iajs-2705	170	18	)	)	PUNCT
iajs-2705	170	19	,	,	PUNCT
iajs-2705	170	20	we	we	PRON
iajs-2705	170	21	obtain	obtain	VERB
iajs-2705	170	22	𝒱𝑛	𝒱𝑛	PROPN
iajs-2705	170	23	=	=	SYM
iajs-2705	170	24	║	║	NOUN
iajs-2705	170	25	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	170	26	−	−	ADP
iajs-2705	170	27	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	170	28	║	║	NOUN
iajs-2705	170	29	→	→	SYM
iajs-2705	170	30	0	0	NUM
iajs-2705	170	31	as	as	ADP
iajs-2705	170	32	𝑛	𝑛	PROPN
iajs-2705	170	33	→	→	SYM
iajs-2705	170	34	0	0	NUM
iajs-2705	170	35	.	.	PUNCT
iajs-2705	171	1	consequently	consequently	ADV
iajs-2705	171	2	,	,	PUNCT
iajs-2705	171	3	║	║	NOUN
iajs-2705	171	4	𝑟𝑛+1	𝑟𝑛+1	ADP
iajs-2705	171	5	−	−	NUM
iajs-2705	171	6	𝑥𝑛+1	𝑥𝑛+1	NOUN
iajs-2705	171	7	║	║	NOUN
iajs-2705	171	8	→	→	SYM
iajs-2705	171	9	0	0	NUM
iajs-2705	171	10	as	as	ADP
iajs-2705	171	11	𝑛	𝑛	PROPN
iajs-2705	171	12	→	→	SYM
iajs-2705	171	13	0	0	NUM
iajs-2705	171	14	.	.	PUNCT
iajs-2705	171	15	therefore	therefore	ADV
iajs-2705	171	16	,	,	PUNCT
iajs-2705	171	17	║	║	X
iajs-2705	171	18	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	171	19	−	−	ADP
iajs-2705	171	20	𝓅	𝓅	ADP
iajs-2705	171	21	║	║	NOUN
iajs-2705	171	22	≤	≤	PUNCT
iajs-2705	171	23	║	║	NOUN
iajs-2705	171	24	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	171	25	−	−	NOUN
iajs-2705	171	26	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	171	27	║	║	VERB
iajs-2705	171	28	+	+	CCONJ
iajs-2705	172	1	║	║	NOUN
iajs-2705	172	2	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	172	3	−	−	ADP
iajs-2705	172	4	𝓅	𝓅	ADP
iajs-2705	172	5	║	║	NOUN
iajs-2705	172	6	→	→	SYM
iajs-2705	172	7	0	0	NUM
iajs-2705	172	8	as	as	ADP
iajs-2705	172	9	𝑛	𝑛	PROPN
iajs-2705	172	10	→	→	SYM
iajs-2705	172	11	∞	∞	PROPN
iajs-2705	172	12	now	now	ADV
iajs-2705	172	13	,	,	PUNCT
iajs-2705	172	14	we	we	PRON
iajs-2705	172	15	show	show	VERB
iajs-2705	172	16	that	that	SCONJ
iajs-2705	172	17	,	,	PUNCT
iajs-2705	172	18	(	(	PUNCT
iajs-2705	172	19	ii	ii	NOUN
iajs-2705	172	20	)	)	PUNCT
iajs-2705	172	21	⇒	⇒	NOUN
iajs-2705	172	22	(	(	PUNCT
iajs-2705	172	23	i	i	NOUN
iajs-2705	172	24	)	)	PUNCT
iajs-2705	172	25	.	.	PUNCT
iajs-2705	173	1	since	since	SCONJ
iajs-2705	173	2	,	,	PUNCT
iajs-2705	173	3	the	the	DET
iajs-2705	173	4	zenali	zenali	VERB
iajs-2705	173	5	iteration	iteration	NOUN
iajs-2705	173	6	converges	converge	VERB
iajs-2705	173	7	to	to	ADP
iajs-2705	173	8	𝓅	𝓅	NOUN
iajs-2705	173	9	⟹	⟹	NUM
iajs-2705	173	10	║	║	NOUN
iajs-2705	173	11	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	173	12	−	−	NOUN
iajs-2705	173	13	𝓅	𝓅	ADP
iajs-2705	173	14	║	║	NOUN
iajs-2705	173	15	→	→	SYM
iajs-2705	173	16	0	0	NUM
iajs-2705	173	17	𝑎𝑠	𝑎𝑠	PROPN
iajs-2705	173	18	𝑛	𝑛	PROPN
iajs-2705	173	19	⟶	⟶	NOUN
iajs-2705	173	20	∞.	∞.	PROPN
iajs-2705	173	21	now	now	ADV
iajs-2705	173	22	,	,	PUNCT
iajs-2705	173	23	consider	consider	VERB
iajs-2705	173	24	the	the	DET
iajs-2705	173	25	following	follow	VERB
iajs-2705	173	26	║	║	VERB
iajs-2705	173	27	𝑥𝑛+1	𝑥𝑛+1	ADP
iajs-2705	173	28	−	−	PRON
iajs-2705	173	29	𝑟𝑛+1	𝑟𝑛+1	NUM
iajs-2705	173	30	║	║	NOUN
iajs-2705	173	31	≤	≤	NUM
iajs-2705	174	1	║	║	VERB
iajs-2705	174	2	𝑥𝑛+1	𝑥𝑛+1	NOUN
iajs-2705	174	3	−	−	ADP
iajs-2705	174	4	𝓅	𝓅	ADP
iajs-2705	174	5	║	║	NOUN
iajs-2705	174	6	+	+	CCONJ
iajs-2705	174	7	║	║	NOUN
iajs-2705	174	8	𝑟𝑛+1	𝑟𝑛+1	NUM
iajs-2705	174	9	−	−	ADP
iajs-2705	174	10	𝓅	𝓅	ADP
iajs-2705	174	11	║	║	NOUN
iajs-2705	174	12	=	=	PUNCT
iajs-2705	175	1	║	║	VERB
iajs-2705	175	2	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	175	3	−	−	ADP
iajs-2705	175	4	𝓅	𝓅	ADP
iajs-2705	175	5	║	║	NOUN
iajs-2705	175	6	+	+	CCONJ
iajs-2705	175	7	║	║	NOUN
iajs-2705	175	8	(	(	PUNCT
iajs-2705	175	9	1	1	NUM
iajs-2705	175	10	−	−	PROPN
iajs-2705	175	11	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	175	12	)	)	PUNCT
iajs-2705	175	13	𝑟𝑛	𝑟𝑛	PROPN
iajs-2705	175	14	+	+	SYM
iajs-2705	175	15	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	175	16	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	175	17	−	−	PROPN
iajs-2705	175	18	𝓅	𝓅	PROPN
iajs-2705	175	19	║	║	NOUN
iajs-2705	175	20	≤	≤	NOUN
iajs-2705	175	21	𝛿	𝛿	DET
iajs-2705	175	22	║	║	NOUN
iajs-2705	175	23	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	175	24	−	−	NOUN
iajs-2705	175	25	𝓅	𝓅	ADP
iajs-2705	175	26	║	║	NOUN
iajs-2705	175	27	+	+	CCONJ
iajs-2705	175	28	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	175	29	(	(	PUNCT
iajs-2705	175	30	𝓃𝑦𝑛	𝓃𝑦𝑛	NOUN
iajs-2705	175	31	,	,	PUNCT
iajs-2705	175	32	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	175	33	)	)	PUNCT
iajs-2705	176	1	+	+	CCONJ
iajs-2705	176	2	(	(	PUNCT
iajs-2705	176	3	1	1	NUM
iajs-2705	176	4	−	−	PROPN
iajs-2705	176	5	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	176	6	)	)	PUNCT
iajs-2705	176	7	║	║	NOUN
iajs-2705	176	8	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	176	9	−	−	ADP
iajs-2705	176	10	𝓅	𝓅	ADP
iajs-2705	176	11	║	║	NOUN
iajs-2705	176	12	+	+	NOUN
iajs-2705	176	13	𝛿𝓈𝑛	𝛿𝓈𝑛	NOUN
iajs-2705	176	14	║	║	NOUN
iajs-2705	176	15	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	176	16	−	−	ADP
iajs-2705	176	17	𝓅	𝓅	NOUN
iajs-2705	176	18	║	║	NOUN
iajs-2705	176	19	+	+	CCONJ
iajs-2705	176	20	𝓈𝑛𝒵𝒜	𝓈𝑛𝒵𝒜	NOUN
iajs-2705	176	21	(	(	PUNCT
iajs-2705	176	22	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	176	23	,	,	PUNCT
iajs-2705	176	24	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	176	25	)	)	PUNCT
iajs-2705	177	1	=	=	PUNCT
iajs-2705	177	2	𝛿	𝛿	ADJ
iajs-2705	177	3	║	║	NOUN
iajs-2705	177	4	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	177	5	−	−	NOUN
iajs-2705	177	6	𝓅	𝓅	ADP
iajs-2705	177	7	║	║	NOUN
iajs-2705	177	8	+	+	CCONJ
iajs-2705	177	9	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	177	10	(	(	PUNCT
iajs-2705	177	11	𝓃𝑦𝑛	𝓃𝑦𝑛	NOUN
iajs-2705	177	12	,	,	PUNCT
iajs-2705	177	13	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	177	14	)	)	PUNCT
iajs-2705	178	1	+	+	CCONJ
iajs-2705	178	2	(	(	PUNCT
iajs-2705	178	3	1	1	NUM
iajs-2705	178	4	−	−	NOUN
iajs-2705	178	5	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	178	6	−	−	NUM
iajs-2705	178	7	𝛿))	𝛿))	NOUN
iajs-2705	178	8	║	║	NOUN
iajs-2705	178	9	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	178	10	−	−	ADP
iajs-2705	178	11	𝓅	𝓅	ADP
iajs-2705	178	12	║	║	NOUN
iajs-2705	179	1	+	+	NOUN
iajs-2705	179	2	𝓈𝑛𝐿𝓂	𝓈𝑛𝐿𝓂	NOUN
iajs-2705	179	3	(	(	PUNCT
iajs-2705	179	4	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	179	5	,	,	PUNCT
iajs-2705	179	6	𝓅	𝓅	NOUN
iajs-2705	179	7	)	)	PUNCT
iajs-2705	179	8	(	(	PUNCT
iajs-2705	179	9	2.23	2.23	NUM
iajs-2705	179	10	)	)	PUNCT
iajs-2705	180	1	║	║	NOUN
iajs-2705	180	2	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	180	3	−	−	PROPN
iajs-2705	180	4	𝑝	𝑝	NOUN
iajs-2705	180	5	║	║	NOUN
iajs-2705	180	6	=	=	PUNCT
iajs-2705	181	1	║	║	VERB
iajs-2705	181	2	𝒯[(1	𝒯[(1	ADJ
iajs-2705	181	3	−	−	PROPN
iajs-2705	181	4	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	181	5	)	)	PUNCT
iajs-2705	181	6	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	181	7	+	+	CCONJ
iajs-2705	181	8	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	181	9	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	181	10	]	]	PUNCT
iajs-2705	181	11	−	−	PROPN
iajs-2705	181	12	𝑝	𝑝	NOUN
iajs-2705	181	13	║	║	NOUN
iajs-2705	181	14	≤	≤	NOUN
iajs-2705	181	15	𝛿	𝛿	DET
iajs-2705	181	16	║	║	NOUN
iajs-2705	181	17	(	(	PUNCT
iajs-2705	181	18	1	1	NUM
iajs-2705	181	19	−	−	PROPN
iajs-2705	181	20	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	181	21	)	)	PUNCT
iajs-2705	181	22	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	181	23	+	+	CCONJ
iajs-2705	182	1	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	182	2	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	182	3	−	−	PROPN
iajs-2705	182	4	𝑝	𝑝	NOUN
iajs-2705	182	5	║	║	NOUN
iajs-2705	182	6	+	+	CCONJ
iajs-2705	182	7	𝒵𝒜	𝒵𝒜	PROPN
iajs-2705	182	8	(	(	PUNCT
iajs-2705	182	9	𝓃𝑧𝑛	𝓃𝑧𝑛	PROPN
iajs-2705	182	10	,	,	PUNCT
iajs-2705	182	11	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	182	12	)	)	PUNCT
iajs-2705	182	13	≤	≤	NUM
iajs-2705	182	14	𝛿	𝛿	X
iajs-2705	182	15	(	(	PUNCT
iajs-2705	182	16	1	1	NUM
iajs-2705	182	17	−	−	NOUN
iajs-2705	182	18	𝓈𝑛)	𝓈𝑛)	NUM
iajs-2705	182	19	║	║	PROPN
iajs-2705	182	20	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	182	21	−	−	ADP
iajs-2705	182	22	𝓅	𝓅	NOUN
iajs-2705	182	23	║	║	NOUN
iajs-2705	182	24	+	+	CCONJ
iajs-2705	182	25	𝛿2𝓈𝑛	𝛿2𝓈𝑛	NOUN
iajs-2705	182	26	║	║	NOUN
iajs-2705	182	27	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	182	28	−	−	ADP
iajs-2705	182	29	𝓅	𝓅	NOUN
iajs-2705	182	30	║	║	NOUN
iajs-2705	182	31	+	+	CCONJ
iajs-2705	182	32	𝛿𝓈𝑛𝒵𝒜	𝛿𝓈𝑛𝒵𝒜	NOUN
iajs-2705	182	33	(	(	PUNCT
iajs-2705	182	34	𝓃𝑧𝑛	𝓃𝑧𝑛	PROPN
iajs-2705	182	35	,	,	PUNCT
iajs-2705	182	36	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	182	37	)	)	PUNCT
iajs-2705	183	1	+	+	CCONJ
iajs-2705	183	2	𝒵𝒜	𝒵𝒜	PROPN
iajs-2705	183	3	(	(	PUNCT
iajs-2705	183	4	𝓃𝑧𝑛	𝓃𝑧𝑛	PROPN
iajs-2705	183	5	,	,	PUNCT
iajs-2705	183	6	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	183	7	)	)	PUNCT
iajs-2705	183	8	≤	≤	NUM
iajs-2705	183	9	𝛿	𝛿	X
iajs-2705	183	10	(	(	PUNCT
iajs-2705	183	11	1	1	NUM
iajs-2705	183	12	−	−	NOUN
iajs-2705	183	13	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	183	14	−	−	NUM
iajs-2705	183	15	𝛿))	𝛿))	NOUN
iajs-2705	183	16	║	║	NOUN
iajs-2705	184	1	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	184	2	−	−	ADP
iajs-2705	184	3	𝓅	𝓅	NOUN
iajs-2705	184	4	║	║	NOUN
iajs-2705	184	5	+	+	CCONJ
iajs-2705	184	6	(	(	PUNCT
iajs-2705	184	7	𝛿𝓈𝑛	𝛿𝓈𝑛	NOUN
iajs-2705	184	8	+	+	CCONJ
iajs-2705	184	9	1)𝒵𝒜	1)𝒵𝒜	NUM
iajs-2705	184	10	(	(	PUNCT
iajs-2705	184	11	𝓃𝑧𝑛	𝓃𝑧𝑛	PROPN
iajs-2705	184	12	,	,	PUNCT
iajs-2705	184	13	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	184	14	)	)	PUNCT
iajs-2705	184	15	(	(	PUNCT
iajs-2705	184	16	2.24	2.24	NUM
iajs-2705	184	17	)	)	PUNCT
iajs-2705	185	1	║	║	NOUN
iajs-2705	185	2	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	185	3	−	−	PROPN
iajs-2705	185	4	𝑝	𝑝	NOUN
iajs-2705	185	5	║	║	NOUN
iajs-2705	185	6	=	=	PUNCT
iajs-2705	186	1	║	║	VERB
iajs-2705	186	2	𝒯[(1	𝒯[(1	ADJ
iajs-2705	186	3	−	−	NOUN
iajs-2705	186	4	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	186	5	)	)	PUNCT
iajs-2705	186	6	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	187	1	+	+	NUM
iajs-2705	187	2	𝓉𝑛	𝓉𝑛	ADJ
iajs-2705	187	3	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	187	4	]	]	PUNCT
iajs-2705	187	5	−	−	PROPN
iajs-2705	187	6	𝑝	𝑝	NOUN
iajs-2705	187	7	║	║	NOUN
iajs-2705	187	8	≤	≤	NOUN
iajs-2705	187	9	𝛿	𝛿	DET
iajs-2705	187	10	║	║	NOUN
iajs-2705	187	11	(	(	PUNCT
iajs-2705	187	12	1	1	NUM
iajs-2705	187	13	−	−	NOUN
iajs-2705	187	14	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	187	15	)	)	PUNCT
iajs-2705	187	16	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	188	1	+	+	NUM
iajs-2705	188	2	𝓉𝑛	𝓉𝑛	ADJ
iajs-2705	188	3	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	188	4	−	−	PROPN
iajs-2705	188	5	𝑝	𝑝	NOUN
iajs-2705	188	6	║	║	NOUN
iajs-2705	188	7	+	+	CCONJ
iajs-2705	188	8	𝒵𝒜	𝒵𝒜	PROPN
iajs-2705	188	9	(	(	PUNCT
iajs-2705	188	10	𝓃((1	𝓃((1	PROPN
iajs-2705	188	11	−	−	PROPN
iajs-2705	188	12	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	188	13	)	)	PUNCT
iajs-2705	189	1	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	189	2	+	+	NUM
iajs-2705	189	3	𝓉𝑛	𝓉𝑛	ADJ
iajs-2705	189	4	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	189	5	)	)	PUNCT
iajs-2705	189	6	,	,	PUNCT
iajs-2705	189	7	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	189	8	)	)	PUNCT
iajs-2705	189	9	≤	≤	NOUN
iajs-2705	190	1	𝛿	𝛿	ADJ
iajs-2705	190	2	(	(	PUNCT
iajs-2705	190	3	1	1	NUM
iajs-2705	190	4	−	−	NOUN
iajs-2705	190	5	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	190	6	)	)	PUNCT
iajs-2705	191	1	║	║	VERB
iajs-2705	191	2	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	191	3	−	−	NOUN
iajs-2705	191	4	𝓅	𝓅	ADP
iajs-2705	191	5	║	║	NOUN
iajs-2705	191	6	+	+	NOUN
iajs-2705	191	7	𝛿2𝓉𝑛	𝛿2𝓉𝑛	NOUN
iajs-2705	191	8	║	║	NOUN
iajs-2705	191	9	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	191	10	−	−	NOUN
iajs-2705	191	11	𝓅	𝓅	ADP
iajs-2705	191	12	║	║	NOUN
iajs-2705	191	13	+	+	X
iajs-2705	191	14	𝛿𝓉𝑛𝒵𝒜	𝛿𝓉𝑛𝒵𝒜	PROPN
iajs-2705	191	15	(	(	PUNCT
iajs-2705	191	16	𝓃𝑥𝑛	𝓃𝑥𝑛	PROPN
iajs-2705	191	17	,	,	PUNCT
iajs-2705	191	18	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	191	19	)	)	PUNCT
iajs-2705	191	20	≤	≤	NOUN
iajs-2705	192	1	𝛿	𝛿	ADJ
iajs-2705	192	2	(	(	PUNCT
iajs-2705	192	3	1	1	NUM
iajs-2705	192	4	−	−	PROPN
iajs-2705	192	5	𝓉𝑛(1	𝓉𝑛(1	PROPN
iajs-2705	192	6	−	−	PROPN
iajs-2705	192	7	𝛿))	𝛿))	NOUN
iajs-2705	192	8	║	║	NOUN
iajs-2705	192	9	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	192	10	−	−	NOUN
iajs-2705	192	11	𝓅	𝓅	ADP
iajs-2705	192	12	║	║	NOUN
iajs-2705	192	13	+	+	CCONJ
iajs-2705	192	14	(	(	PUNCT
iajs-2705	192	15	𝛿𝓉𝑛	𝛿𝓉𝑛	NOUN
iajs-2705	192	16	+	+	NOUN
iajs-2705	192	17	1	1	NUM
iajs-2705	192	18	)	)	PUNCT
iajs-2705	192	19	+	+	CCONJ
iajs-2705	192	20	𝛿𝓉𝑛𝒵𝒜	𝛿𝓉𝑛𝒵𝒜	PROPN
iajs-2705	192	21	(	(	PUNCT
iajs-2705	192	22	𝓃𝑥𝑛	𝓃𝑥𝑛	PROPN
iajs-2705	192	23	,	,	PUNCT
iajs-2705	192	24	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	192	25	)	)	PUNCT
iajs-2705	192	26	(	(	PUNCT
iajs-2705	192	27	2.25	2.25	NUM
iajs-2705	192	28	)	)	PUNCT
iajs-2705	192	29	substituting	substituting	NOUN
iajs-2705	192	30	(	(	PUNCT
iajs-2705	192	31	2.25	2.25	NUM
iajs-2705	192	32	)	)	PUNCT
iajs-2705	192	33	in	in	ADP
iajs-2705	192	34	(	(	PUNCT
iajs-2705	192	35	2.24	2.24	NUM
iajs-2705	192	36	)	)	PUNCT
iajs-2705	192	37	,	,	PUNCT
iajs-2705	192	38	we	we	PRON
iajs-2705	192	39	obtain	obtain	VERB
iajs-2705	192	40	ibn	ibn	PROPN
iajs-2705	192	41	al	al	PROPN
iajs-2705	192	42	-	-	PUNCT
iajs-2705	192	43	haitham	haitham	PROPN
iajs-2705	192	44	jour	jour	X
iajs-2705	192	45	.	.	PROPN
iajs-2705	193	1	for	for	ADP
iajs-2705	193	2	pure	pure	ADJ
iajs-2705	193	3	&	&	CCONJ
iajs-2705	193	4	appl	appl	PROPN
iajs-2705	193	5	.	.	PUNCT
iajs-2705	194	1	sci	sci	PROPN
iajs-2705	194	2	.	.	PROPN
iajs-2705	195	1	34(4)2021	34(4)2021	NUM
iajs-2705	195	2	87	87	NUM
iajs-2705	195	3	║	║	NOUN
iajs-2705	195	4	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	195	5	−	−	PROPN
iajs-2705	195	6	𝑝	𝑝	NOUN
iajs-2705	195	7	║	║	NOUN
iajs-2705	195	8	≤	≤	NUM
iajs-2705	195	9	𝛿2	𝛿2	NOUN
iajs-2705	195	10	(	(	PUNCT
iajs-2705	195	11	1	1	NUM
iajs-2705	195	12	−	−	PROPN
iajs-2705	195	13	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	195	14	−	−	PROPN
iajs-2705	195	15	𝛿	𝛿	NOUN
iajs-2705	195	16	)	)	PUNCT
iajs-2705	195	17	)	)	PUNCT
iajs-2705	195	18	(	(	PUNCT
iajs-2705	195	19	1	1	NUM
iajs-2705	195	20	−	−	PROPN
iajs-2705	195	21	𝓉𝑛(1	𝓉𝑛(1	PROPN
iajs-2705	195	22	−	−	PROPN
iajs-2705	195	23	𝛿))	𝛿))	NOUN
iajs-2705	195	24	║	║	NOUN
iajs-2705	195	25	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	195	26	−	−	NOUN
iajs-2705	195	27	𝓅	𝓅	ADP
iajs-2705	195	28	║	║	NOUN
iajs-2705	195	29	+	+	CCONJ
iajs-2705	195	30	𝛿	𝛿	X
iajs-2705	195	31	(	(	PUNCT
iajs-2705	195	32	1	1	NUM
iajs-2705	195	33	−	−	PROPN
iajs-2705	195	34	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	195	35	−	−	PROPN
iajs-2705	195	36	𝛿	𝛿	NOUN
iajs-2705	195	37	)	)	PUNCT
iajs-2705	195	38	)	)	PUNCT
iajs-2705	195	39	(	(	PUNCT
iajs-2705	195	40	𝛿𝓉𝑛	𝛿𝓉𝑛	X
iajs-2705	195	41	+	+	CCONJ
iajs-2705	196	1	1)𝒵𝒜	1)𝒵𝒜	NUM
iajs-2705	196	2	(	(	PUNCT
iajs-2705	196	3	𝓃𝑥𝑛	𝓃𝑥𝑛	PROPN
iajs-2705	196	4	,	,	PUNCT
iajs-2705	196	5	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	196	6	)	)	PUNCT
iajs-2705	197	1	+	+	CCONJ
iajs-2705	197	2	(	(	PUNCT
iajs-2705	197	3	𝛿𝓈𝑛	𝛿𝓈𝑛	NOUN
iajs-2705	197	4	+	+	CCONJ
iajs-2705	197	5	1)𝒵𝒜	1)𝒵𝒜	NUM
iajs-2705	197	6	(	(	PUNCT
iajs-2705	197	7	𝓃𝑧𝑛	𝓃𝑧𝑛	PROPN
iajs-2705	197	8	,	,	PUNCT
iajs-2705	197	9	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	197	10	)	)	PUNCT
iajs-2705	197	11	(	(	PUNCT
iajs-2705	197	12	2.26	2.26	NUM
iajs-2705	197	13	)	)	PUNCT
iajs-2705	197	14	substituting	substituting	NOUN
iajs-2705	197	15	(	(	PUNCT
iajs-2705	197	16	2.26	2.26	NUM
iajs-2705	197	17	)	)	PUNCT
iajs-2705	197	18	in	in	ADP
iajs-2705	197	19	(	(	PUNCT
iajs-2705	197	20	2.23	2.23	NUM
iajs-2705	197	21	)	)	PUNCT
iajs-2705	197	22	,	,	PUNCT
iajs-2705	197	23	we	we	PRON
iajs-2705	197	24	obtain	obtain	VERB
iajs-2705	197	25	║	║	NOUN
iajs-2705	197	26	𝑥𝑛+1	𝑥𝑛+1	NOUN
iajs-2705	197	27	−	−	PRON
iajs-2705	197	28	𝑟𝑛+1	𝑟𝑛+1	NUM
iajs-2705	197	29	║	║	NOUN
iajs-2705	197	30	≤	≤	NUM
iajs-2705	197	31	𝛿3	𝛿3	NOUN
iajs-2705	197	32	(	(	PUNCT
iajs-2705	197	33	1	1	NUM
iajs-2705	197	34	−	−	PROPN
iajs-2705	197	35	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	197	36	−	−	PROPN
iajs-2705	197	37	𝛿	𝛿	NOUN
iajs-2705	197	38	)	)	PUNCT
iajs-2705	197	39	)	)	PUNCT
iajs-2705	197	40	(	(	PUNCT
iajs-2705	197	41	1	1	NUM
iajs-2705	197	42	−	−	PROPN
iajs-2705	197	43	𝓉𝑛(1	𝓉𝑛(1	PROPN
iajs-2705	197	44	−	−	PROPN
iajs-2705	197	45	𝛿))	𝛿))	NOUN
iajs-2705	197	46	║	║	NOUN
iajs-2705	197	47	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	197	48	−	−	NOUN
iajs-2705	197	49	𝓅	𝓅	ADP
iajs-2705	197	50	║	║	NOUN
iajs-2705	197	51	+	+	CCONJ
iajs-2705	197	52	(	(	PUNCT
iajs-2705	197	53	1	1	NUM
iajs-2705	197	54	−	−	NOUN
iajs-2705	197	55	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	197	56	−	−	PROPN
iajs-2705	197	57	𝛿	𝛿	NOUN
iajs-2705	197	58	)	)	PUNCT
iajs-2705	197	59	)	)	PUNCT
iajs-2705	198	1	║	║	NOUN
iajs-2705	198	2	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	198	3	−	−	NOUN
iajs-2705	199	1	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	200	1	+	+	NOUN
iajs-2705	200	2	𝑥𝑛	𝑥𝑛	VERB
iajs-2705	200	3	−	−	NOUN
iajs-2705	200	4	𝓅	𝓅	ADP
iajs-2705	200	5	║	║	NOUN
iajs-2705	200	6	+	+	CCONJ
iajs-2705	200	7	𝛿2	𝛿2	NOUN
iajs-2705	200	8	(	(	PUNCT
iajs-2705	200	9	1	1	NUM
iajs-2705	200	10	−	−	PROPN
iajs-2705	200	11	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	200	12	−	−	PROPN
iajs-2705	200	13	𝛿))(𝛿𝓉𝑛	𝛿))(𝛿𝓉𝑛	PROPN
iajs-2705	200	14	+	+	CCONJ
iajs-2705	200	15	1)𝒵𝒜	1)𝒵𝒜	NUM
iajs-2705	200	16	(	(	PUNCT
iajs-2705	200	17	𝓃𝑥𝑛	𝓃𝑥𝑛	PROPN
iajs-2705	200	18	,	,	PUNCT
iajs-2705	200	19	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	200	20	)	)	PUNCT
iajs-2705	201	1	+	+	X
iajs-2705	201	2	𝒵𝒜	𝒵𝒜	PROPN
iajs-2705	201	3	(	(	PUNCT
iajs-2705	201	4	𝓃𝑧𝑛	𝓃𝑧𝑛	PROPN
iajs-2705	201	5	,	,	PUNCT
iajs-2705	201	6	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	201	7	)	)	PUNCT
iajs-2705	201	8	+	+	CCONJ
iajs-2705	201	9	𝛿(𝛿𝓈𝑛	𝛿(𝛿𝓈𝑛	PROPN
iajs-2705	201	10	+	+	CCONJ
iajs-2705	201	11	1)𝒵𝒜	1)𝒵𝒜	NUM
iajs-2705	201	12	(	(	PUNCT
iajs-2705	201	13	𝓃𝑧𝑛	𝓃𝑧𝑛	PROPN
iajs-2705	201	14	,	,	PUNCT
iajs-2705	201	15	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	201	16	)	)	PUNCT
iajs-2705	201	17	+	+	CCONJ
iajs-2705	201	18	𝓈𝑛𝒵𝒜	𝓈𝑛𝒵𝒜	NOUN
iajs-2705	201	19	(	(	PUNCT
iajs-2705	201	20	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	201	21	,	,	PUNCT
iajs-2705	201	22	𝓂𝓅	𝓂𝓅	PROPN
iajs-2705	201	23	)	)	PUNCT
iajs-2705	201	24	≤	≤	PUNCT
iajs-2705	201	25	[	[	X
iajs-2705	201	26	(	(	PUNCT
iajs-2705	201	27	1	1	NUM
iajs-2705	201	28	−	−	NOUN
iajs-2705	201	29	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	201	30	−	−	PROPN
iajs-2705	201	31	𝛿	𝛿	NOUN
iajs-2705	201	32	)	)	PUNCT
iajs-2705	201	33	)	)	PUNCT
iajs-2705	202	1	+	+	CCONJ
iajs-2705	202	2	(	(	PUNCT
iajs-2705	202	3	1	1	NUM
iajs-2705	202	4	−	−	NOUN
iajs-2705	202	5	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	202	6	−	−	PROPN
iajs-2705	202	7	𝛿))]	𝛿))]	PROPN
iajs-2705	202	8	║	║	NOUN
iajs-2705	202	9	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	202	10	−	−	NOUN
iajs-2705	202	11	𝓅	𝓅	ADP
iajs-2705	202	12	║	║	NOUN
iajs-2705	202	13	+	+	CCONJ
iajs-2705	202	14	(	(	PUNCT
iajs-2705	202	15	1	1	NUM
iajs-2705	202	16	−	−	NOUN
iajs-2705	202	17	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	202	18	−	−	NUM
iajs-2705	202	19	𝛿))	𝛿))	NOUN
iajs-2705	202	20	║	║	NOUN
iajs-2705	202	21	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	202	22	−	−	NOUN
iajs-2705	202	23	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	202	24	║	║	NOUN
iajs-2705	202	25	+	+	CCONJ
iajs-2705	202	26	𝛿2	𝛿2	NOUN
iajs-2705	202	27	(	(	PUNCT
iajs-2705	202	28	1	1	NUM
iajs-2705	202	29	−	−	PROPN
iajs-2705	202	30	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	202	31	−	−	PROPN
iajs-2705	202	32	𝛿))(𝛿𝓉𝑛	𝛿))(𝛿𝓉𝑛	PROPN
iajs-2705	202	33	+	+	CCONJ
iajs-2705	202	34	1	1	NUM
iajs-2705	202	35	)	)	PUNCT
iajs-2705	202	36	𝒵𝑚𝑖𝑛{𝓃	𝒵𝑚𝑖𝑛{𝓃	NUM
iajs-2705	202	37	║	║	NOUN
iajs-2705	202	38	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	202	39	−	−	PROPN
iajs-2705	202	40	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	202	41	║	║	NOUN
iajs-2705	202	42	,	,	PUNCT
iajs-2705	202	43	𝓂	𝓂	NOUN
iajs-2705	202	44	║	║	NOUN
iajs-2705	202	45	𝓅	𝓅	X
iajs-2705	202	46	−	−	PROPN
iajs-2705	202	47	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	202	48	║	║	PROPN
iajs-2705	202	49	,	,	PUNCT
iajs-2705	202	50	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	202	51	║	║	NOUN
iajs-2705	202	52	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	202	53	−	−	PROPN
iajs-2705	202	54	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	202	55	║	║	NOUN
iajs-2705	202	56	,	,	PUNCT
iajs-2705	202	57	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	202	58	║	║	NOUN
iajs-2705	202	59	𝓅	𝓅	NOUN
iajs-2705	202	60	−	−	X
iajs-2705	202	61	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	202	62	║	║	NOUN
iajs-2705	202	63	}	}	PUNCT
iajs-2705	202	64	+	+	PROPN
iajs-2705	202	65	𝒵min	𝒵min	PROPN
iajs-2705	202	66	{	{	PUNCT
iajs-2705	202	67	𝓃	𝓃	NOUN
iajs-2705	202	68	║	║	NOUN
iajs-2705	202	69	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	202	70	−	−	PROPN
iajs-2705	202	71	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	202	72	║	║	PROPN
iajs-2705	202	73	,	,	PUNCT
iajs-2705	202	74	𝓂	𝓂	NOUN
iajs-2705	202	75	║	║	NOUN
iajs-2705	202	76	𝓅	𝓅	X
iajs-2705	202	77	−	−	PROPN
iajs-2705	202	78	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	202	79	║	║	PROPN
iajs-2705	202	80	,	,	PUNCT
iajs-2705	202	81	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	202	82	║	║	NOUN
iajs-2705	202	83	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	202	84	−	−	PROPN
iajs-2705	202	85	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	202	86	║	║	PROPN
iajs-2705	202	87	,	,	PUNCT
iajs-2705	202	88	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	202	89	║	║	NOUN
iajs-2705	202	90	𝓅	𝓅	NOUN
iajs-2705	202	91	−	−	PROPN
iajs-2705	202	92	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	202	93	║	║	NOUN
iajs-2705	202	94	}	}	PUNCT
iajs-2705	202	95	+	+	PROPN
iajs-2705	202	96	𝛿(𝛿𝓈𝑛	𝛿(𝛿𝓈𝑛	PROPN
iajs-2705	202	97	+	+	CCONJ
iajs-2705	202	98	1)𝒵min	1)𝒵min	NUM
iajs-2705	202	99	{	{	PUNCT
iajs-2705	202	100	𝓃	𝓃	NOUN
iajs-2705	202	101	║	║	PROPN
iajs-2705	202	102	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	202	103	−	−	PROPN
iajs-2705	202	104	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	202	105	║	║	NOUN
iajs-2705	202	106	,	,	PUNCT
iajs-2705	202	107	𝓂	𝓂	NOUN
iajs-2705	202	108	║	║	NOUN
iajs-2705	202	109	𝓅	𝓅	X
iajs-2705	202	110	−	−	PROPN
iajs-2705	202	111	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	202	112	║	║	PROPN
iajs-2705	202	113	,	,	PUNCT
iajs-2705	202	114	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	202	115	║	║	NOUN
iajs-2705	202	116	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	202	117	−	−	PROPN
iajs-2705	202	118	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	202	119	║	║	PROPN
iajs-2705	202	120	,	,	PUNCT
iajs-2705	202	121	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	202	122	║	║	NOUN
iajs-2705	202	123	𝓅	𝓅	NOUN
iajs-2705	202	124	−	−	PROPN
iajs-2705	202	125	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	202	126	║	║	NOUN
iajs-2705	202	127	}	}	PUNCT
iajs-2705	202	128	+	+	CCONJ
iajs-2705	202	129	𝓈𝑛𝒵𝑚𝑖𝑛{𝓃	𝓈𝑛𝒵𝑚𝑖𝑛{𝓃	NOUN
iajs-2705	202	130	║	║	PROPN
iajs-2705	202	131	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	202	132	−	−	PROPN
iajs-2705	202	133	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	202	134	║	║	PROPN
iajs-2705	202	135	,	,	PUNCT
iajs-2705	202	136	𝓂	𝓂	NOUN
iajs-2705	202	137	║	║	NOUN
iajs-2705	202	138	𝓅	𝓅	X
iajs-2705	202	139	−	−	PROPN
iajs-2705	202	140	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	202	141	║	║	NOUN
iajs-2705	202	142	,	,	PUNCT
iajs-2705	202	143	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	202	144	║	║	NOUN
iajs-2705	202	145	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	202	146	−	−	PROPN
iajs-2705	202	147	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	202	148	║	║	PROPN
iajs-2705	202	149	,	,	PUNCT
iajs-2705	202	150	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	202	151	║	║	NOUN
iajs-2705	202	152	𝓅	𝓅	NOUN
iajs-2705	202	153	−	−	ADP
iajs-2705	202	154	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	202	155	║	║	PROPN
iajs-2705	202	156	}	}	PUNCT
iajs-2705	202	157	let	let	AUX
iajs-2705	202	158	𝜇𝑛	𝜇𝑛	INTJ
iajs-2705	202	159	=	=	SYM
iajs-2705	202	160	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	202	161	−	−	PROPN
iajs-2705	202	162	𝛿	𝛿	NOUN
iajs-2705	202	163	)	)	PUNCT
iajs-2705	202	164	𝜖	𝜖	PROPN
iajs-2705	202	165	(	(	PUNCT
iajs-2705	202	166	0	0	NUM
iajs-2705	202	167	,	,	PUNCT
iajs-2705	202	168	1	1	NUM
iajs-2705	202	169	)	)	PUNCT
iajs-2705	202	170	,	,	PUNCT
iajs-2705	202	171	𝒱𝑛	𝒱𝑛	PROPN
iajs-2705	202	172	=	=	PUNCT
iajs-2705	202	173	║	║	PROPN
iajs-2705	202	174	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	202	175	−	−	NOUN
iajs-2705	202	176	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	202	177	║	║	NOUN
iajs-2705	202	178	𝒰𝑛	𝒰𝑛	PROPN
iajs-2705	202	179	=	=	SYM
iajs-2705	202	180	[	[	X
iajs-2705	202	181	(	(	PUNCT
iajs-2705	202	182	1	1	NUM
iajs-2705	202	183	−	−	NOUN
iajs-2705	202	184	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	202	185	−	−	PROPN
iajs-2705	202	186	𝛿	𝛿	NOUN
iajs-2705	202	187	)	)	PUNCT
iajs-2705	202	188	)	)	PUNCT
iajs-2705	203	1	+	+	CCONJ
iajs-2705	203	2	(	(	PUNCT
iajs-2705	203	3	1	1	NUM
iajs-2705	203	4	−	−	NOUN
iajs-2705	203	5	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	203	6	−	−	PROPN
iajs-2705	203	7	𝛿))]	𝛿))]	PROPN
iajs-2705	203	8	║	║	NOUN
iajs-2705	203	9	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	203	10	−	−	NOUN
iajs-2705	203	11	𝓅	𝓅	ADP
iajs-2705	203	12	║	║	NOUN
iajs-2705	203	13	+	+	CCONJ
iajs-2705	203	14	𝛿2	𝛿2	NOUN
iajs-2705	203	15	(	(	PUNCT
iajs-2705	203	16	1	1	NUM
iajs-2705	203	17	−	−	PROPN
iajs-2705	203	18	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	203	19	−	−	PROPN
iajs-2705	203	20	𝛿))(𝛿𝓉𝑛	𝛿))(𝛿𝓉𝑛	PROPN
iajs-2705	203	21	+	+	CCONJ
iajs-2705	203	22	1	1	NUM
iajs-2705	203	23	)	)	PUNCT
iajs-2705	203	24	𝒵𝑚𝑖𝑛{𝓃	𝒵𝑚𝑖𝑛{𝓃	NUM
iajs-2705	203	25	║	║	NOUN
iajs-2705	203	26	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	203	27	−	−	PROPN
iajs-2705	203	28	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	203	29	║	║	NOUN
iajs-2705	203	30	,	,	PUNCT
iajs-2705	203	31	𝓂	𝓂	NOUN
iajs-2705	203	32	║	║	NOUN
iajs-2705	203	33	𝓅	𝓅	X
iajs-2705	203	34	−	−	PROPN
iajs-2705	203	35	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	203	36	║	║	PROPN
iajs-2705	203	37	,	,	PUNCT
iajs-2705	203	38	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	203	39	║	║	NOUN
iajs-2705	203	40	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	203	41	−	−	PROPN
iajs-2705	203	42	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	203	43	║	║	PROPN
iajs-2705	203	44	,	,	PUNCT
iajs-2705	203	45	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	203	46	║	║	NOUN
iajs-2705	203	47	𝓅	𝓅	NOUN
iajs-2705	203	48	−	−	PROPN
iajs-2705	203	49	𝒯𝑥𝑛	𝒯𝑥𝑛	PROPN
iajs-2705	203	50	║	║	NOUN
iajs-2705	203	51	}	}	PUNCT
iajs-2705	203	52	+	+	NOUN
iajs-2705	203	53	𝒵𝑚𝑖𝑛{𝓃	𝒵𝑚𝑖𝑛{𝓃	NOUN
iajs-2705	203	54	║	║	NOUN
iajs-2705	203	55	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	203	56	−	−	PROPN
iajs-2705	203	57	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	203	58	║	║	PROPN
iajs-2705	203	59	,	,	PUNCT
iajs-2705	203	60	𝓂	𝓂	NOUN
iajs-2705	203	61	║	║	NOUN
iajs-2705	203	62	𝓅	𝓅	X
iajs-2705	203	63	−	−	PROPN
iajs-2705	203	64	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	203	65	║	║	PROPN
iajs-2705	203	66	,	,	PUNCT
iajs-2705	203	67	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	203	68	║	║	NOUN
iajs-2705	203	69	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	203	70	−	−	PROPN
iajs-2705	203	71	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	203	72	║	║	PROPN
iajs-2705	203	73	,	,	PUNCT
iajs-2705	203	74	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	203	75	║	║	NOUN
iajs-2705	203	76	𝓅	𝓅	NOUN
iajs-2705	203	77	−	−	X
iajs-2705	203	78	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	203	79	║	║	VERB
iajs-2705	203	80	}	}	PUNCT
iajs-2705	203	81	+	+	PROPN
iajs-2705	203	82	𝛿(𝛿𝓈𝑛	𝛿(𝛿𝓈𝑛	PROPN
iajs-2705	203	83	+	+	CCONJ
iajs-2705	203	84	1)𝒵𝑚𝑖𝑛{𝓃	1)𝒵𝑚𝑖𝑛{𝓃	NUM
iajs-2705	203	85	║	║	NOUN
iajs-2705	203	86	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	203	87	−	−	PROPN
iajs-2705	203	88	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	203	89	║	║	NOUN
iajs-2705	203	90	,	,	PUNCT
iajs-2705	203	91	𝓂	𝓂	NOUN
iajs-2705	203	92	║	║	NOUN
iajs-2705	203	93	𝓅	𝓅	X
iajs-2705	203	94	−	−	PROPN
iajs-2705	203	95	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	203	96	║	║	PROPN
iajs-2705	203	97	,	,	PUNCT
iajs-2705	203	98	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	203	99	║	║	NOUN
iajs-2705	203	100	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	203	101	−	−	PROPN
iajs-2705	203	102	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	203	103	║	║	PROPN
iajs-2705	203	104	,	,	PUNCT
iajs-2705	203	105	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	203	106	║	║	NOUN
iajs-2705	203	107	𝓅	𝓅	NOUN
iajs-2705	203	108	−	−	PROPN
iajs-2705	203	109	𝒯𝑧𝑛	𝒯𝑧𝑛	PROPN
iajs-2705	203	110	║	║	NOUN
iajs-2705	203	111	}	}	PUNCT
iajs-2705	203	112	+	+	ADJ
iajs-2705	203	113	𝓈𝑛𝒵𝑚𝑖𝑛{𝓃	𝓈𝑛𝒵𝑚𝑖𝑛{𝓃	NOUN
iajs-2705	203	114	║	║	VERB
iajs-2705	203	115	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	203	116	−	−	PROPN
iajs-2705	203	117	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	203	118	║	║	PROPN
iajs-2705	203	119	,	,	PUNCT
iajs-2705	203	120	𝓂	𝓂	NOUN
iajs-2705	203	121	║	║	NOUN
iajs-2705	203	122	𝓅	𝓅	X
iajs-2705	203	123	−	−	PROPN
iajs-2705	203	124	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	203	125	║	║	PROPN
iajs-2705	203	126	,	,	PUNCT
iajs-2705	203	127	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	203	128	║	║	NOUN
iajs-2705	203	129	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	203	130	−	−	PROPN
iajs-2705	203	131	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	203	132	║	║	PROPN
iajs-2705	203	133	,	,	PUNCT
iajs-2705	203	134	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	203	135	║	║	NOUN
iajs-2705	203	136	𝓅	𝓅	NOUN
iajs-2705	203	137	−	−	PROPN
iajs-2705	203	138	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	203	139	║	║	NOUN
iajs-2705	203	140	}	}	PUNCT
iajs-2705	203	141	since	since	SCONJ
iajs-2705	203	142	,	,	PUNCT
iajs-2705	203	143	║	║	X
iajs-2705	203	144	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	203	145	−	−	NOUN
iajs-2705	203	146	𝓅	𝓅	ADP
iajs-2705	203	147	║	║	NOUN
iajs-2705	203	148	→	→	SYM
iajs-2705	203	149	0	0	NUM
iajs-2705	203	150	as	as	ADP
iajs-2705	203	151	𝑛	𝑛	PROPN
iajs-2705	203	152	→	→	SYM
iajs-2705	203	153	∞.	∞.	PROPN
iajs-2705	203	154	so	so	ADV
iajs-2705	203	155	,	,	PUNCT
iajs-2705	203	156	we	we	PRON
iajs-2705	203	157	get	get	VERB
iajs-2705	203	158	𝒰𝑛	𝒰𝑛	ADP
iajs-2705	203	159	→	→	SYM
iajs-2705	203	160	0	0	NUM
iajs-2705	203	161	,	,	PUNCT
iajs-2705	203	162	thus	thus	ADV
iajs-2705	203	163	from	from	ADP
iajs-2705	203	164	lemma	lemma	PROPN
iajs-2705	203	165	(	(	PUNCT
iajs-2705	203	166	1.3	1.3	NUM
iajs-2705	203	167	)	)	PUNCT
iajs-2705	203	168	,	,	PUNCT
iajs-2705	203	169	we	we	PRON
iajs-2705	203	170	get	get	VERB
iajs-2705	203	171	𝒱𝑛	𝒱𝑛	PROPN
iajs-2705	203	172	=	=	PUNCT
iajs-2705	203	173	║	║	NOUN
iajs-2705	203	174	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	203	175	−	−	NOUN
iajs-2705	203	176	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	203	177	║	║	NOUN
iajs-2705	203	178	→	→	SYM
iajs-2705	203	179	0	0	NUM
iajs-2705	203	180	as	as	ADP
iajs-2705	203	181	𝑛	𝑛	PROPN
iajs-2705	203	182	→	→	SYM
iajs-2705	203	183	0	0	NUM
iajs-2705	203	184	.	.	PUNCT
iajs-2705	204	1	consequently;	consequently;	VERB
iajs-2705	205	1	║	║	VERB
iajs-2705	205	2	𝑥𝑛+1	𝑥𝑛+1	ADJ
iajs-2705	205	3	−	−	ADP
iajs-2705	205	4	𝑟𝑛+1	𝑟𝑛+1	NUM
iajs-2705	205	5	║	║	NOUN
iajs-2705	205	6	→	→	SYM
iajs-2705	205	7	0	0	NUM
iajs-2705	205	8	as	as	ADP
iajs-2705	205	9	𝑛	𝑛	PROPN
iajs-2705	205	10	→	→	SYM
iajs-2705	205	11	0	0	NUM
iajs-2705	205	12	therefore	therefore	ADV
iajs-2705	205	13	,	,	PUNCT
iajs-2705	205	14	║	║	X
iajs-2705	205	15	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	205	16	−	−	ADP
iajs-2705	205	17	𝓅	𝓅	NOUN
iajs-2705	205	18	║	║	NOUN
iajs-2705	205	19	≤	≤	PUNCT
iajs-2705	205	20	║	║	NOUN
iajs-2705	205	21	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	205	22	−	−	NOUN
iajs-2705	205	23	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	205	24	║	║	VERB
iajs-2705	206	1	+	+	CCONJ
iajs-2705	207	1	║	║	NOUN
iajs-2705	207	2	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	207	3	−	−	NOUN
iajs-2705	207	4	𝓅	𝓅	ADP
iajs-2705	207	5	║	║	NOUN
iajs-2705	207	6	→	→	SYM
iajs-2705	207	7	0	0	NUM
iajs-2705	207	8	as	as	ADP
iajs-2705	207	9	𝑛	𝑛	PROPN
iajs-2705	207	10	→	→	SYM
iajs-2705	207	11	∞.	∞.	PROPN
iajs-2705	207	12	∎	∎	PROPN
iajs-2705	207	13	now	now	ADV
iajs-2705	207	14	,	,	PUNCT
iajs-2705	207	15	we	we	PRON
iajs-2705	207	16	will	will	AUX
iajs-2705	207	17	prove	prove	VERB
iajs-2705	207	18	that	that	SCONJ
iajs-2705	207	19	our	our	PRON
iajs-2705	207	20	new	new	ADJ
iajs-2705	207	21	iteration	iteration	NOUN
iajs-2705	207	22	is	be	AUX
iajs-2705	207	23	faster	fast	ADJ
iajs-2705	207	24	than	than	ADP
iajs-2705	207	25	many	many	ADJ
iajs-2705	207	26	know	know	VERB
iajs-2705	207	27	iterations	iteration	NOUN
iajs-2705	207	28	by	by	ADP
iajs-2705	207	29	using	use	VERB
iajs-2705	207	30	new	new	ADJ
iajs-2705	207	31	contraction	contraction	NOUN
iajs-2705	207	32	mappings	mapping	NOUN
iajs-2705	207	33	.	.	PUNCT
iajs-2705	208	1	theorem	theorem	VERB
iajs-2705	208	2	2.8	2.8	NUM
iajs-2705	208	3	:	:	PUNCT
iajs-2705	208	4	let	let	VERB
iajs-2705	208	5	𝒯	𝒯	PROPN
iajs-2705	208	6	be	be	AUX
iajs-2705	208	7	a	a	DET
iajs-2705	208	8	𝛿𝒵𝒜	𝛿𝒵𝒜	NOUN
iajs-2705	208	9	−	−	PROPN
iajs-2705	208	10	quasi	quasi	ADJ
iajs-2705	208	11	contraction	contraction	NOUN
iajs-2705	208	12	mapping	mapping	NOUN
iajs-2705	208	13	on	on	ADP
iajs-2705	208	14	𝒞.	𝒞.	PROPN
iajs-2705	208	15	suppose	suppose	VERB
iajs-2705	208	16	that	that	SCONJ
iajs-2705	208	17	the	the	DET
iajs-2705	208	18	iterations	iteration	NOUN
iajs-2705	208	19	zenali	zenali	VERB
iajs-2705	208	20	iteration	iteration	NOUN
iajs-2705	208	21	,	,	PUNCT
iajs-2705	208	22	ishikawa	ishikawa	PROPN
iajs-2705	208	23	iteration	iteration	PROPN
iajs-2705	208	24	and	and	CCONJ
iajs-2705	208	25	mann	mann	PROPN
iajs-2705	208	26	iteration	iteration	NOUN
iajs-2705	208	27	converge	converge	VERB
iajs-2705	208	28	to	to	ADP
iajs-2705	208	29	𝓅	𝓅	PROPN
iajs-2705	208	30	∈	∈	PROPN
iajs-2705	208	31	ℱ(𝒯	ℱ(𝒯	PROPN
iajs-2705	208	32	)	)	PUNCT
iajs-2705	208	33	where	where	SCONJ
iajs-2705	208	34	0	0	NUM
iajs-2705	208	35	<	<	X
iajs-2705	208	36	𝓋	𝓋	X
iajs-2705	208	37	≤	≤	NOUN
iajs-2705	208	38	𝓊n	𝓊n	ADP
iajs-2705	208	39	,	,	PUNCT
iajs-2705	208	40	𝓈n	𝓈n	ADV
iajs-2705	208	41	,	,	PUNCT
iajs-2705	208	42	𝓉n	𝓉n	X
iajs-2705	208	43	<	<	X
iajs-2705	208	44	1	1	NUM
iajs-2705	209	1	,	,	PUNCT
iajs-2705	209	2	∀n	∀n	SYM
iajs-2705	209	3	∈	∈	PROPN
iajs-2705	209	4	n.	n.	NOUN
iajs-2705	209	5	then	then	ADV
iajs-2705	209	6	the	the	DET
iajs-2705	209	7	zenali	zenali	VERB
iajs-2705	209	8	iteration	iteration	NOUN
iajs-2705	209	9	converges	converge	VERB
iajs-2705	209	10	faster	fast	ADV
iajs-2705	209	11	than	than	ADP
iajs-2705	209	12	of	of	ADP
iajs-2705	209	13	mann	mann	PROPN
iajs-2705	209	14	iteration	iteration	NOUN
iajs-2705	209	15	and	and	CCONJ
iajs-2705	209	16	ihikawa	ihikawa	NOUN
iajs-2705	209	17	iteration	iteration	NOUN
iajs-2705	209	18	.	.	PUNCT
iajs-2705	210	1	proof	proof	NOUN
iajs-2705	210	2	.	.	PUNCT
iajs-2705	211	1	consider	consider	VERB
iajs-2705	211	2	zenali	zenali	ADJ
iajs-2705	211	3	iteration	iteration	NOUN
iajs-2705	211	4	,	,	PUNCT
iajs-2705	211	5	we	we	PRON
iajs-2705	211	6	obtain	obtain	VERB
iajs-2705	211	7	ibn	ibn	PROPN
iajs-2705	211	8	al	al	PROPN
iajs-2705	211	9	-	-	PUNCT
iajs-2705	211	10	haitham	haitham	PROPN
iajs-2705	211	11	jour	jour	X
iajs-2705	211	12	.	.	PROPN
iajs-2705	212	1	for	for	ADP
iajs-2705	212	2	pure	pure	ADJ
iajs-2705	212	3	&	&	CCONJ
iajs-2705	212	4	appl	appl	PROPN
iajs-2705	212	5	.	.	PUNCT
iajs-2705	213	1	sci	sci	PROPN
iajs-2705	213	2	.	.	PROPN
iajs-2705	214	1	34(4)2021	34(4)2021	NUM
iajs-2705	214	2	88	88	NUM
iajs-2705	214	3	║	║	NOUN
iajs-2705	214	4	�	�	PROPN
iajs-2705	214	5	̃	̃	NOUN
iajs-2705	214	6	�	�	NOUN
iajs-2705	214	7	𝑛+1	𝑛+1	ADP
iajs-2705	214	8	−	−	PROPN
iajs-2705	214	9	𝑝	𝑝	NOUN
iajs-2705	214	10	║	║	NOUN
iajs-2705	214	11	=	=	PUNCT
iajs-2705	215	1	║	║	SCONJ
iajs-2705	215	2	𝒯𝑦𝑛	𝒯𝑦𝑛	PROPN
iajs-2705	215	3	−	−	NUM
iajs-2705	215	4	𝑝	𝑝	NOUN
iajs-2705	215	5	║	║	NOUN
iajs-2705	215	6	≤	≤	NOUN
iajs-2705	215	7	𝛿	𝛿	DET
iajs-2705	215	8	║	║	NOUN
iajs-2705	215	9	𝑦𝑛	𝑦𝑛	NOUN
iajs-2705	215	10	−	−	PROPN
iajs-2705	215	11	𝑝	𝑝	NOUN
iajs-2705	215	12	║	║	NOUN
iajs-2705	216	1	+	+	CCONJ
iajs-2705	216	2	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	216	3	(	(	PUNCT
iajs-2705	216	4	𝓃𝑦𝑛	𝓃𝑦𝑛	NOUN
iajs-2705	216	5	,	,	PUNCT
iajs-2705	216	6	𝓂𝑝	𝓂𝑝	ADP
iajs-2705	216	7	)	)	PUNCT
iajs-2705	216	8	=	=	SYM
iajs-2705	216	9	𝛿	𝛿	PROPN
iajs-2705	216	10	║	║	PROPN
iajs-2705	216	11	𝒯	𝒯	PROPN
iajs-2705	216	12	(	(	PUNCT
iajs-2705	216	13	(	(	PUNCT
iajs-2705	216	14	1	1	NUM
iajs-2705	216	15	−	−	NOUN
iajs-2705	216	16	𝓈n	𝓈n	ADP
iajs-2705	216	17	)	)	PUNCT
iajs-2705	216	18	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	216	19	+	+	ADJ
iajs-2705	216	20	𝓈n𝒯𝑧𝑛	𝓈n𝒯𝑧𝑛	NOUN
iajs-2705	216	21	)	)	PUNCT
iajs-2705	216	22	−	−	PROPN
iajs-2705	216	23	𝑝	𝑝	NOUN
iajs-2705	216	24	║	║	NOUN
iajs-2705	216	25	≤	≤	NUM
iajs-2705	216	26	𝛿2	𝛿2	NOUN
iajs-2705	216	27	║	║	NOUN
iajs-2705	216	28	(	(	PUNCT
iajs-2705	216	29	(	(	PUNCT
iajs-2705	216	30	1	1	NUM
iajs-2705	216	31	−	−	NOUN
iajs-2705	216	32	𝓈n	𝓈n	ADP
iajs-2705	216	33	)	)	PUNCT
iajs-2705	216	34	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	216	35	+	+	ADJ
iajs-2705	216	36	𝓈n𝒯𝑧𝑛	𝓈n𝒯𝑧𝑛	NOUN
iajs-2705	216	37	)	)	PUNCT
iajs-2705	216	38	−	−	PROPN
iajs-2705	216	39	𝑝	𝑝	NOUN
iajs-2705	216	40	║	║	NOUN
iajs-2705	216	41	+	+	CCONJ
iajs-2705	216	42	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	216	43	(	(	PUNCT
iajs-2705	216	44	𝓃(1	𝓃(1	NOUN
iajs-2705	216	45	−	−	PROPN
iajs-2705	216	46	𝓈n	𝓈n	ADP
iajs-2705	216	47	)	)	PUNCT
iajs-2705	216	48	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	216	49	+	+	CCONJ
iajs-2705	216	50	𝓈n𝒯𝑧𝑛	𝓈n𝒯𝑧𝑛	NOUN
iajs-2705	216	51	)	)	PUNCT
iajs-2705	216	52	,	,	PUNCT
iajs-2705	216	53	𝓂𝑝	𝓂𝑝	ADP
iajs-2705	216	54	)	)	PUNCT
iajs-2705	216	55	since	since	SCONJ
iajs-2705	216	56	║	║	NOUN
iajs-2705	216	57	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	216	58	–	–	PUNCT
iajs-2705	216	59	𝓅	𝓅	NOUN
iajs-2705	216	60	║	║	NOUN
iajs-2705	216	61	→	→	SYM
iajs-2705	216	62	0	0	NUM
iajs-2705	216	63	as	as	ADP
iajs-2705	216	64	𝑛	𝑛	PROPN
iajs-2705	216	65	→	→	SYM
iajs-2705	216	66	∞	∞	PROPN
iajs-2705	216	67	then	then	ADV
iajs-2705	216	68	,	,	PUNCT
iajs-2705	216	69	𝒵𝒜	𝒵𝒜	PROPN
iajs-2705	216	70	(	(	PUNCT
iajs-2705	216	71	𝓃(1	𝓃(1	NOUN
iajs-2705	216	72	−	−	PROPN
iajs-2705	216	73	𝓈n	𝓈n	ADP
iajs-2705	216	74	)	)	PUNCT
iajs-2705	216	75	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	216	76	+	+	CCONJ
iajs-2705	216	77	𝓈n𝒯𝑧𝑛	𝓈n𝒯𝑧𝑛	NOUN
iajs-2705	216	78	)	)	PUNCT
iajs-2705	216	79	,	,	PUNCT
iajs-2705	216	80	𝓂	𝓂	NOUN
iajs-2705	216	81	𝓅	𝓅	NOUN
iajs-2705	216	82	)	)	PUNCT
iajs-2705	216	83	=	=	SYM
iajs-2705	216	84	0	0	PUNCT
iajs-2705	216	85	=	=	SYM
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iajs-2705	216	87	║	║	NOUN
iajs-2705	216	88	(	(	PUNCT
iajs-2705	216	89	(	(	PUNCT
iajs-2705	216	90	1	1	NUM
iajs-2705	216	91	−	−	NOUN
iajs-2705	216	92	𝓈n	𝓈n	ADP
iajs-2705	216	93	)	)	PUNCT
iajs-2705	216	94	(	(	PUNCT
iajs-2705	216	95	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	216	96	−	−	PROPN
iajs-2705	216	97	𝑝	𝑝	PROPN
iajs-2705	216	98	)	)	PUNCT
iajs-2705	216	99	+	+	CCONJ
iajs-2705	216	100	𝓈n(𝒯𝑧𝑛	𝓈n(𝒯𝑧𝑛	ADJ
iajs-2705	216	101	−	−	PROPN
iajs-2705	216	102	𝑝	𝑝	NOUN
iajs-2705	216	103	)	)	PUNCT
iajs-2705	216	104	║	║	NOUN
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iajs-2705	216	106	𝛿2	𝛿2	NOUN
iajs-2705	216	107	[	[	PUNCT
iajs-2705	216	108	(	(	PUNCT
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iajs-2705	216	111	𝓈n	𝓈n	ADP
iajs-2705	216	112	)	)	PUNCT
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iajs-2705	217	2	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	217	3	−	−	PROPN
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iajs-2705	217	5	║	║	NOUN
iajs-2705	217	6	+	+	CCONJ
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iajs-2705	217	9	║	║	NOUN
iajs-2705	217	10	𝑧𝑛	𝑧𝑛	NOUN
iajs-2705	217	11	−	−	PROPN
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iajs-2705	217	13	║	║	NOUN
iajs-2705	217	14	+	+	CCONJ
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iajs-2705	217	18	,	,	PUNCT
iajs-2705	217	19	𝓂𝑝	𝓂𝑝	ADP
iajs-2705	217	20	)	)	PUNCT
iajs-2705	217	21	]	]	PUNCT
iajs-2705	217	22	=	=	PUNCT
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iajs-2705	217	25	(	(	PUNCT
iajs-2705	217	26	(	(	PUNCT
iajs-2705	217	27	1	1	NUM
iajs-2705	217	28	−	−	NOUN
iajs-2705	217	29	𝓈n	𝓈n	ADP
iajs-2705	217	30	)	)	PUNCT
iajs-2705	218	1	+	+	CCONJ
iajs-2705	218	2	𝛿	𝛿	PRON
iajs-2705	218	3	𝓈n	𝓈n	NOUN
iajs-2705	218	4	]	]	PUNCT
iajs-2705	218	5	║	║	NOUN
iajs-2705	218	6	𝑧𝑛	𝑧𝑛	ADP
iajs-2705	218	7	−	−	PROPN
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iajs-2705	218	9	║	║	NOUN
iajs-2705	218	10	=	=	SYM
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iajs-2705	218	12	[	[	PUNCT
iajs-2705	218	13	(	(	PUNCT
iajs-2705	218	14	1	1	NUM
iajs-2705	218	15	−	−	NOUN
iajs-2705	218	16	𝓈n(1	𝓈n(1	NUM
iajs-2705	218	17	−	−	NOUN
iajs-2705	218	18	𝛿	𝛿	NOUN
iajs-2705	218	19	)	)	PUNCT
iajs-2705	218	20	]	]	PUNCT
iajs-2705	219	1	║	║	VERB
iajs-2705	219	2	𝒯	𝒯	PROPN
iajs-2705	219	3	(	(	PUNCT
iajs-2705	219	4	(	(	PUNCT
iajs-2705	219	5	1	1	NUM
iajs-2705	219	6	−	−	NOUN
iajs-2705	219	7	𝓉n	𝓉n	NOUN
iajs-2705	219	8	)	)	PUNCT
iajs-2705	219	9	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	219	10	+	+	NUM
iajs-2705	219	11	𝓉n𝒯𝑥𝑛	𝓉n𝒯𝑥𝑛	NOUN
iajs-2705	219	12	)	)	PUNCT
iajs-2705	219	13	−	−	PROPN
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iajs-2705	219	17	𝛿2	𝛿2	NOUN
iajs-2705	219	18	[	[	PUNCT
iajs-2705	219	19	(	(	PUNCT
iajs-2705	219	20	1	1	NUM
iajs-2705	219	21	−	−	NOUN
iajs-2705	219	22	𝓈n(1	𝓈n(1	NUM
iajs-2705	219	23	−	−	NOUN
iajs-2705	219	24	𝛿	𝛿	NOUN
iajs-2705	219	25	)	)	PUNCT
iajs-2705	219	26	]	]	PUNCT
iajs-2705	220	1	𝛿	𝛿	ADJ
iajs-2705	220	2	║	║	NOUN
iajs-2705	220	3	(	(	PUNCT
iajs-2705	220	4	(	(	PUNCT
iajs-2705	220	5	1	1	NUM
iajs-2705	220	6	−	−	NUM
iajs-2705	220	7	𝓉n)(𝑥𝑛	𝓉n)(𝑥𝑛	PUNCT
iajs-2705	220	8	−	−	PROPN
iajs-2705	220	9	𝑝	𝑝	PROPN
iajs-2705	220	10	)	)	PUNCT
iajs-2705	220	11	+	+	NUM
iajs-2705	220	12	𝓉n(𝒯𝑥𝑛	𝓉n(𝒯𝑥𝑛	NOUN
iajs-2705	220	13	−	−	PROPN
iajs-2705	220	14	𝑝	𝑝	NOUN
iajs-2705	220	15	)	)	PUNCT
iajs-2705	220	16	║	║	NOUN
iajs-2705	221	1	+	+	ADP
iajs-2705	221	2	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	221	3	(	(	PUNCT
iajs-2705	221	4	𝓃(1	𝓃(1	PROPN
iajs-2705	221	5	−	−	PROPN
iajs-2705	221	6	𝓉n	𝓉n	NOUN
iajs-2705	221	7	)	)	PUNCT
iajs-2705	221	8	𝑥𝑛	𝑥𝑛	PROPN
iajs-2705	221	9	+	+	NUM
iajs-2705	221	10	𝓉n𝒯𝑥𝑛	𝓉n𝒯𝑥𝑛	NOUN
iajs-2705	221	11	)	)	PUNCT
iajs-2705	221	12	,	,	PUNCT
iajs-2705	221	13	𝓂𝑝	𝓂𝑝	ADP
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iajs-2705	221	16	𝛿3	𝛿3	NOUN
iajs-2705	221	17	[	[	PUNCT
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iajs-2705	221	19	1	1	NUM
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iajs-2705	221	21	𝛼𝑛(1	𝛼𝑛(1	PROPN
iajs-2705	221	22	−	−	PROPN
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iajs-2705	221	24	)	)	PUNCT
iajs-2705	221	25	]	]	PUNCT
iajs-2705	221	26	[	[	PUNCT
iajs-2705	221	27	(	(	PUNCT
iajs-2705	221	28	(	(	PUNCT
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iajs-2705	221	32	║	║	NOUN
iajs-2705	221	33	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	221	34	−	−	NOUN
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iajs-2705	221	36	║	║	NOUN
iajs-2705	221	37	+	+	CCONJ
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iajs-2705	221	43	║	║	NOUN
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iajs-2705	222	7	]	]	PUNCT
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iajs-2705	222	11	(	(	PUNCT
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iajs-2705	222	14	𝓈n(1	𝓈n(1	NUM
iajs-2705	222	15	−	−	NOUN
iajs-2705	222	16	𝛿	𝛿	NOUN
iajs-2705	222	17	)	)	PUNCT
iajs-2705	222	18	]	]	PUNCT
iajs-2705	222	19	[	[	PUNCT
iajs-2705	222	20	(	(	PUNCT
iajs-2705	222	21	(	(	PUNCT
iajs-2705	222	22	1	1	NUM
iajs-2705	222	23	−	−	NOUN
iajs-2705	222	24	𝓉n	𝓉n	NOUN
iajs-2705	222	25	)	)	PUNCT
iajs-2705	223	1	+	+	CCONJ
iajs-2705	223	2	𝛿𝓉n]	𝛿𝓉n]	PRON
iajs-2705	223	3	║	║	VERB
iajs-2705	223	4	𝑥𝑛	𝑥𝑛	NOUN
iajs-2705	223	5	−	−	PROPN
iajs-2705	223	6	𝑝	𝑝	NOUN
iajs-2705	223	7	║	║	NOUN
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iajs-2705	223	9	𝛿3	𝛿3	NOUN
iajs-2705	223	10	[	[	PUNCT
iajs-2705	223	11	(	(	PUNCT
iajs-2705	223	12	1	1	NUM
iajs-2705	223	13	−	−	PROPN
iajs-2705	223	14	𝓋(1	𝓋(1	NOUN
iajs-2705	223	15	−	−	NOUN
iajs-2705	223	16	𝛿	𝛿	NOUN
iajs-2705	223	17	)	)	PUNCT
iajs-2705	223	18	]	]	PUNCT
iajs-2705	223	19	2	2	NUM
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iajs-2705	223	22	−	−	NOUN
iajs-2705	223	23	𝑝	𝑝	NOUN
iajs-2705	223	24	║	║	NOUN
iajs-2705	223	25	⁞	⁞	ADP
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iajs-2705	223	27	(	(	PUNCT
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iajs-2705	223	29	[	[	PUNCT
iajs-2705	223	30	1	1	NUM
iajs-2705	223	31	−	−	PROPN
iajs-2705	223	32	𝓋(1	𝓋(1	NOUN
iajs-2705	223	33	−	−	NOUN
iajs-2705	223	34	𝛿	𝛿	NOUN
iajs-2705	223	35	)	)	PUNCT
iajs-2705	223	36	]	]	PUNCT
iajs-2705	223	37	2)𝑛	2)𝑛	NUM
iajs-2705	223	38	║	║	NOUN
iajs-2705	223	39	𝑥0	𝑥0	NOUN
iajs-2705	223	40	−	−	PROPN
iajs-2705	223	41	𝑝	𝑝	NOUN
iajs-2705	223	42	║	║	NOUN
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iajs-2705	223	45	𝑍𝐴𝑛	𝑍𝐴𝑛	NOUN
iajs-2705	223	46	=	=	SYM
iajs-2705	223	47	(	(	PUNCT
iajs-2705	223	48	𝛿3	𝛿3	X
iajs-2705	223	49	[	[	PUNCT
iajs-2705	223	50	1	1	NUM
iajs-2705	223	51	−	−	PROPN
iajs-2705	223	52	𝓋(1	𝓋(1	NOUN
iajs-2705	223	53	−	−	NOUN
iajs-2705	223	54	𝛿	𝛿	NOUN
iajs-2705	223	55	)	)	PUNCT
iajs-2705	223	56	]	]	PUNCT
iajs-2705	223	57	2)𝑛	2)𝑛	NUM
iajs-2705	223	58	║	║	NOUN
iajs-2705	223	59	𝑥0	𝑥0	NOUN
iajs-2705	223	60	−	−	PROPN
iajs-2705	223	61	𝑝	𝑝	NOUN
iajs-2705	223	62	║	║	NOUN
iajs-2705	223	63	consider	consider	VERB
iajs-2705	223	64	the	the	DET
iajs-2705	223	65	mann	mann	PROPN
iajs-2705	223	66	iteration	iteration	NOUN
iajs-2705	223	67	,	,	PUNCT
iajs-2705	223	68	we	we	PRON
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iajs-2705	223	70	║	║	NOUN
iajs-2705	223	71	𝑟𝑛+1	𝑟𝑛+1	NUM
iajs-2705	223	72	−	−	PROPN
iajs-2705	223	73	𝑝	𝑝	NOUN
iajs-2705	223	74	║	║	NOUN
iajs-2705	223	75	=	=	PUNCT
iajs-2705	223	76	║	║	NOUN
iajs-2705	223	77	(	(	PUNCT
iajs-2705	223	78	1	1	NUM
iajs-2705	223	79	−	−	PROPN
iajs-2705	223	80	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	223	81	)	)	PUNCT
iajs-2705	223	82	𝑟𝑛	𝑟𝑛	PROPN
iajs-2705	224	1	+	+	SYM
iajs-2705	224	2	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	224	3	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	224	4	−	−	PROPN
iajs-2705	224	5	𝓅	𝓅	ADP
iajs-2705	224	6	║	║	NOUN
iajs-2705	224	7	=	=	PUNCT
iajs-2705	224	8	║	║	NOUN
iajs-2705	224	9	(	(	PUNCT
iajs-2705	224	10	(	(	PUNCT
iajs-2705	224	11	1	1	NUM
iajs-2705	224	12	−	−	PROPN
iajs-2705	224	13	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	224	14	)	)	PUNCT
iajs-2705	224	15	(	(	PUNCT
iajs-2705	224	16	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	224	17	−	−	PROPN
iajs-2705	224	18	𝓅	𝓅	NOUN
iajs-2705	224	19	)	)	PUNCT
iajs-2705	224	20	+	+	CCONJ
iajs-2705	224	21	𝓈𝑛(𝒯𝑟𝑛	𝓈𝑛(𝒯𝑟𝑛	ADJ
iajs-2705	224	22	−	−	PROPN
iajs-2705	224	23	𝓅	𝓅	NOUN
iajs-2705	224	24	)	)	PUNCT
iajs-2705	224	25	║	║	NOUN
iajs-2705	224	26	≤	≤	NOUN
iajs-2705	224	27	(	(	PUNCT
iajs-2705	224	28	1	1	NUM
iajs-2705	224	29	−	−	PROPN
iajs-2705	224	30	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	224	31	)	)	PUNCT
iajs-2705	224	32	║	║	NOUN
iajs-2705	224	33	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	224	34	−	−	ADP
iajs-2705	224	35	𝓅	𝓅	NOUN
iajs-2705	224	36	║	║	NOUN
iajs-2705	224	37	+	+	CCONJ
iajs-2705	224	38	𝓈𝑛	𝓈𝑛	ADJ
iajs-2705	224	39	║	║	NOUN
iajs-2705	224	40	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	224	41	−	−	PROPN
iajs-2705	224	42	𝓅	𝓅	NOUN
iajs-2705	224	43	║	║	NOUN
iajs-2705	224	44	≤	≤	NOUN
iajs-2705	224	45	(	(	PUNCT
iajs-2705	224	46	1	1	NUM
iajs-2705	224	47	−	−	PROPN
iajs-2705	224	48	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	224	49	)	)	PUNCT
iajs-2705	224	50	║	║	NOUN
iajs-2705	224	51	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	224	52	−	−	ADP
iajs-2705	224	53	𝓅	𝓅	NOUN
iajs-2705	224	54	║	║	NOUN
iajs-2705	224	55	+	+	CCONJ
iajs-2705	224	56	𝛿𝓈𝑛	𝛿𝓈𝑛	NOUN
iajs-2705	224	57	║	║	NOUN
iajs-2705	224	58	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	224	59	−	−	ADP
iajs-2705	224	60	𝓅	𝓅	NOUN
iajs-2705	224	61	║	║	NOUN
iajs-2705	224	62	+	+	CCONJ
iajs-2705	224	63	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	224	64	(	(	PUNCT
iajs-2705	224	65	𝓃𝑟𝑛	𝓃𝑟𝑛	NOUN
iajs-2705	224	66	,	,	PUNCT
iajs-2705	224	67	𝓂𝑝	𝓂𝑝	ADP
iajs-2705	224	68	)	)	PUNCT
iajs-2705	224	69	≤	≤	NOUN
iajs-2705	225	1	[	[	X
iajs-2705	225	2	1	1	NUM
iajs-2705	225	3	−	−	PROPN
iajs-2705	225	4	𝓋(1	𝓋(1	NOUN
iajs-2705	225	5	−	−	NOUN
iajs-2705	225	6	𝛿)]	𝛿)]	PROPN
iajs-2705	225	7	║	║	PROPN
iajs-2705	225	8	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	225	9	−	−	ADP
iajs-2705	225	10	𝓅	𝓅	NOUN
iajs-2705	225	11	║	║	NOUN
iajs-2705	225	12	+	+	X
iajs-2705	225	13	𝒵min	𝒵min	PROPN
iajs-2705	225	14	{	{	PUNCT
iajs-2705	225	15	𝓃	𝓃	NOUN
iajs-2705	225	16	║	║	PROPN
iajs-2705	225	17	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	225	18	−	−	PROPN
iajs-2705	225	19	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	225	20	║	║	PROPN
iajs-2705	225	21	,	,	PUNCT
iajs-2705	225	22	𝓂	𝓂	NOUN
iajs-2705	225	23	║	║	NOUN
iajs-2705	225	24	𝓅	𝓅	X
iajs-2705	225	25	−	−	PROPN
iajs-2705	225	26	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	225	27	║	║	NOUN
iajs-2705	225	28	,	,	PUNCT
iajs-2705	225	29	𝓃𝓂	𝓃𝓂	NOUN
iajs-2705	225	30	║	║	NOUN
iajs-2705	225	31	𝑟𝑛	𝑟𝑛	ADP
iajs-2705	225	32	−	−	PROPN
iajs-2705	225	33	𝒯𝓅	𝒯𝓅	PROPN
iajs-2705	225	34	║	║	PROPN
iajs-2705	225	35	,	,	PUNCT
iajs-2705	225	36	𝓂𝓃	𝓂𝓃	ADP
iajs-2705	225	37	║	║	NOUN
iajs-2705	225	38	𝓅	𝓅	NOUN
iajs-2705	225	39	−	−	ADP
iajs-2705	225	40	𝒯𝑟𝑛	𝒯𝑟𝑛	PROPN
iajs-2705	225	41	║	║	PROPN
iajs-2705	225	42	}	}	PUNCT
iajs-2705	225	43	=[	=[	NOUN
iajs-2705	225	44	1	1	NUM
iajs-2705	225	45	−	−	PROPN
iajs-2705	226	1	𝓋(1	𝓋(1	NOUN
iajs-2705	226	2	−	−	NOUN
iajs-2705	226	3	𝛿)]	𝛿)]	PROPN
iajs-2705	226	4	║	║	PROPN
iajs-2705	226	5	𝑟𝑛	𝑟𝑛	NOUN
iajs-2705	226	6	−	−	ADP
iajs-2705	226	7	𝓅	𝓅	NOUN
iajs-2705	226	8	║	║	NOUN
iajs-2705	226	9	⁞	⁞	ADP
iajs-2705	226	10	≤	≤	NOUN
iajs-2705	226	11	[	[	PUNCT
iajs-2705	226	12	1	1	NUM
iajs-2705	226	13	−	−	PROPN
iajs-2705	226	14	𝓋(1	𝓋(1	NOUN
iajs-2705	226	15	−	−	NOUN
iajs-2705	226	16	𝛿)]𝑛	𝛿)]𝑛	ADJ
iajs-2705	226	17	║	║	NOUN
iajs-2705	226	18	𝑟0	𝑟0	NOUN
iajs-2705	226	19	−	−	ADP
iajs-2705	226	20	𝓅	𝓅	NOUN
iajs-2705	226	21	║	║	NOUN
iajs-2705	226	22	suppose	suppose	VERB
iajs-2705	226	23	that	that	SCONJ
iajs-2705	226	24	𝒮𝑛	𝒮𝑛	NOUN
iajs-2705	226	25	=	=	PUNCT
iajs-2705	226	26	[	[	PUNCT
iajs-2705	226	27	1	1	NUM
iajs-2705	226	28	−	−	PROPN
iajs-2705	226	29	𝓋(1	𝓋(1	NOUN
iajs-2705	226	30	−	−	NOUN
iajs-2705	226	31	𝛿)]𝑛	𝛿)]𝑛	ADJ
iajs-2705	226	32	║	║	NOUN
iajs-2705	226	33	𝑟0	𝑟0	NOUN
iajs-2705	226	34	−	−	ADP
iajs-2705	226	35	𝓅	𝓅	NOUN
iajs-2705	226	36	║	║	NOUN
iajs-2705	226	37	here	here	ADV
iajs-2705	226	38	,	,	PUNCT
iajs-2705	226	39	after	after	ADP
iajs-2705	226	40	simple	simple	ADJ
iajs-2705	226	41	compute	compute	NOUN
iajs-2705	226	42	,	,	PUNCT
iajs-2705	226	43	we	we	PRON
iajs-2705	226	44	have	have	VERB
iajs-2705	226	45	ibn	ibn	PROPN
iajs-2705	226	46	al	al	PROPN
iajs-2705	226	47	-	-	PUNCT
iajs-2705	226	48	haitham	haitham	PROPN
iajs-2705	226	49	jour	jour	X
iajs-2705	226	50	.	.	PROPN
iajs-2705	226	51	for	for	ADP
iajs-2705	226	52	pure	pure	ADJ
iajs-2705	226	53	&	&	CCONJ
iajs-2705	226	54	appl	appl	PROPN
iajs-2705	226	55	.	.	PUNCT
iajs-2705	227	1	sci	sci	PROPN
iajs-2705	227	2	.	.	PROPN
iajs-2705	228	1	34(4)2021	34(4)2021	NUM
iajs-2705	228	2	89	89	NUM
iajs-2705	228	3	𝑍𝐴𝑛	𝑍𝐴𝑛	ADJ
iajs-2705	228	4	ℳ𝑛	ℳ𝑛	PROPN
iajs-2705	228	5	=	=	SYM
iajs-2705	228	6	(	(	PUNCT
iajs-2705	228	7	𝛿3	𝛿3	X
iajs-2705	228	8	[	[	X
iajs-2705	228	9	1−𝓋(1−𝛿	1−𝓋(1−𝛿	NUM
iajs-2705	228	10	)	)	PUNCT
iajs-2705	228	11	]	]	PUNCT
iajs-2705	229	1	2)𝑛	2)𝑛	NUM
iajs-2705	229	2	║	║	NOUN
iajs-2705	229	3	𝑥0−𝑝	𝑥0−𝑝	NOUN
iajs-2705	229	4	║	║	NOUN
iajs-2705	229	5	[	[	PUNCT
iajs-2705	229	6	1−𝓋(1−𝛿))]𝑛	1−𝓋(1−𝛿))]𝑛	PROPN
iajs-2705	229	7	║	║	NOUN
iajs-2705	229	8	𝑤0−𝓅	𝑤0−𝓅	NOUN
iajs-2705	229	9	║	║	NOUN
iajs-2705	229	10	→	→	SYM
iajs-2705	229	11	0	0	NUM
iajs-2705	229	12	as	as	ADP
iajs-2705	229	13	𝑛	𝑛	PROPN
iajs-2705	229	14	→	→	SYM
iajs-2705	229	15	∞.	∞.	PROPN
iajs-2705	229	16	then	then	ADV
iajs-2705	229	17	,	,	PUNCT
iajs-2705	229	18	the	the	DET
iajs-2705	229	19	zenali	zenali	VERB
iajs-2705	229	20	iteration	iteration	NOUN
iajs-2705	229	21	converges	converge	VERB
iajs-2705	229	22	to	to	ADP
iajs-2705	229	23	𝓅	𝓅	NOUN
iajs-2705	229	24	faster	fast	ADV
iajs-2705	229	25	than	than	ADP
iajs-2705	229	26	ishikawa	ishikawa	PROPN
iajs-2705	229	27	iteration	iteration	NOUN
iajs-2705	229	28	and	and	CCONJ
iajs-2705	229	29	mann	mann	PROPN
iajs-2705	229	30	iteration	iteration	NOUN
iajs-2705	229	31	.	.	PUNCT
iajs-2705	230	1	∎	∎	PROPN
iajs-2705	230	2	theorem	theorem	VERB
iajs-2705	230	3	2.9	2.9	NUM
iajs-2705	230	4	:	:	PUNCT
iajs-2705	230	5	let	let	VERB
iajs-2705	230	6	𝒯	𝒯	PROPN
iajs-2705	230	7	be	be	AUX
iajs-2705	230	8	a	a	DET
iajs-2705	230	9	𝛿𝒵𝒜	𝛿𝒵𝒜	NOUN
iajs-2705	230	10	−	−	PROPN
iajs-2705	230	11	quasi	quasi	ADJ
iajs-2705	230	12	contraction	contraction	NOUN
iajs-2705	230	13	selfmapping	selfmappe	VERB
iajs-2705	230	14	on	on	ADP
iajs-2705	230	15	𝒞.	𝒞.	PROPN
iajs-2705	230	16	suppose	suppose	VERB
iajs-2705	230	17	that	that	SCONJ
iajs-2705	230	18	the	the	DET
iajs-2705	230	19	zenali	zenali	VERB
iajs-2705	230	20	iteration	iteration	NOUN
iajs-2705	230	21	and	and	CCONJ
iajs-2705	230	22	d	d	NOUN
iajs-2705	230	23	iteration	iteration	NOUN
iajs-2705	230	24	converge	converge	VERB
iajs-2705	230	25	to	to	ADP
iajs-2705	230	26	the	the	DET
iajs-2705	230	27	same	same	ADJ
iajs-2705	230	28	fixed	fix	VERB
iajs-2705	230	29	point	point	NOUN
iajs-2705	230	30	𝓅	𝓅	NOUN
iajs-2705	230	31	of	of	ADP
iajs-2705	230	32	𝒯	𝒯	PROPN
iajs-2705	230	33	where	where	SCONJ
iajs-2705	230	34	0	0	X
iajs-2705	230	35	<	<	X
iajs-2705	230	36	𝓋	𝓋	X
iajs-2705	230	37	≤	≤	NUM
iajs-2705	230	38	𝓊𝑛	𝓊𝑛	PROPN
iajs-2705	230	39	,	,	PUNCT
iajs-2705	230	40	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	230	41	,	,	PUNCT
iajs-2705	230	42	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	230	43	<	<	X
iajs-2705	230	44	1	1	NUM
iajs-2705	230	45	,	,	PUNCT
iajs-2705	230	46	∀𝑛	∀𝑛	NOUN
iajs-2705	230	47	∈	∈	PROPN
iajs-2705	230	48	𝑁.	𝑁.	PROPN
iajs-2705	230	49	then	then	ADV
iajs-2705	230	50	,	,	PUNCT
iajs-2705	230	51	the	the	DET
iajs-2705	230	52	zenali	zenali	VERB
iajs-2705	230	53	iteration	iteration	NOUN
iajs-2705	230	54	converges	converge	VERB
iajs-2705	230	55	faster	fast	ADV
iajs-2705	230	56	than	than	ADP
iajs-2705	230	57	d	d	PRON
iajs-2705	230	58	iteration	iteration	NOUN
iajs-2705	230	59	.	.	PUNCT
iajs-2705	231	1	proof	proof	NOUN
iajs-2705	231	2	.	.	PUNCT
iajs-2705	232	1	form	form	NOUN
iajs-2705	232	2	d	d	X
iajs-2705	232	3	iteration	iteration	NOUN
iajs-2705	232	4	,	,	PUNCT
iajs-2705	232	5	we	we	PRON
iajs-2705	232	6	obtain	obtain	VERB
iajs-2705	232	7	║	║	NOUN
iajs-2705	232	8	d𝑛+1	d𝑛+1	NOUN
iajs-2705	232	9	−	−	ADP
iajs-2705	232	10	𝓅	𝓅	NOUN
iajs-2705	232	11	║	║	NOUN
iajs-2705	232	12	=	=	PUNCT
iajs-2705	233	1	║	║	NOUN
iajs-2705	233	2	(	(	PUNCT
iajs-2705	233	3	1	1	NUM
iajs-2705	233	4	−	−	PROPN
iajs-2705	233	5	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	233	6	)	)	PUNCT
iajs-2705	233	7	𝒯𝑠𝑛	𝒯𝑠𝑛	PROPN
iajs-2705	233	8	+	+	CCONJ
iajs-2705	233	9	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	233	10	𝒯𝑡𝑛	𝒯𝑡𝑛	NOUN
iajs-2705	233	11	−	−	NOUN
iajs-2705	233	12	𝓅	𝓅	NOUN
iajs-2705	233	13	║	║	NOUN
iajs-2705	233	14	≤	≤	PUNCT
iajs-2705	233	15	𝛿(1	𝛿(1	PROPN
iajs-2705	233	16	−	−	PROPN
iajs-2705	233	17	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	233	18	)	)	PUNCT
iajs-2705	233	19	║	║	NOUN
iajs-2705	233	20	𝑠𝑛	𝑠𝑛	NOUN
iajs-2705	233	21	−	−	NOUN
iajs-2705	233	22	𝓅	𝓅	NOUN
iajs-2705	233	23	║	║	NOUN
iajs-2705	233	24	+	+	CCONJ
iajs-2705	233	25	(	(	PUNCT
iajs-2705	233	26	1	1	NUM
iajs-2705	233	27	−	−	PROPN
iajs-2705	233	28	𝓈𝑛	𝓈𝑛	ADJ
iajs-2705	233	29	)	)	PUNCT
iajs-2705	233	30	𝒵𝒜	𝒵𝒜	PROPN
iajs-2705	233	31	(	(	PUNCT
iajs-2705	233	32	𝓃𝑠𝑛	𝓃𝑠𝑛	PROPN
iajs-2705	233	33	,	,	PUNCT
iajs-2705	233	34	𝓂𝑝	𝓂𝑝	ADP
iajs-2705	233	35	)	)	PUNCT
iajs-2705	233	36	+	+	NOUN
iajs-2705	233	37	𝛿𝓈𝑛	𝛿𝓈𝑛	NOUN
iajs-2705	233	38	║	║	NOUN
iajs-2705	233	39	𝑡𝑛	𝑡𝑛	VERB
iajs-2705	233	40	−	−	NUM
iajs-2705	233	41	𝓅	𝓅	NOUN
iajs-2705	233	42	║	║	NOUN
iajs-2705	233	43	+	+	CCONJ
iajs-2705	234	1	𝓈𝑛𝒵𝒜	𝓈𝑛𝒵𝒜	NOUN
iajs-2705	234	2	(	(	PUNCT
iajs-2705	234	3	𝓃𝑡𝑛	𝓃𝑡𝑛	NOUN
iajs-2705	234	4	,	,	PUNCT
iajs-2705	234	5	𝓂𝑝	𝓂𝑝	ADP
iajs-2705	234	6	)	)	PUNCT
iajs-2705	234	7	=	=	NOUN
iajs-2705	234	8	𝛿[(1	𝛿[(1	INTJ
iajs-2705	234	9	−	−	PROPN
iajs-2705	234	10	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	234	11	)	)	PUNCT
iajs-2705	234	12	║	║	NOUN
iajs-2705	234	13	𝑠𝑛	𝑠𝑛	NOUN
iajs-2705	234	14	−	−	NOUN
iajs-2705	234	15	𝓅	𝓅	ADP
iajs-2705	234	16	║	║	NOUN
iajs-2705	234	17	+	+	CCONJ
iajs-2705	234	18	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	234	19	║	║	NOUN
iajs-2705	234	20	(1	(1	PUNCT
iajs-2705	234	21	−	−	NOUN
iajs-2705	234	22	𝓉𝑛	𝓉𝑛	NOUN
iajs-2705	234	23	)	)	PUNCT
iajs-2705	234	24	𝒯𝑑𝑛	𝒯𝑑𝑛	PROPN
iajs-2705	234	25	+	+	CCONJ
iajs-2705	234	26	𝓉𝑛𝒯𝑠𝑛	𝓉𝑛𝒯𝑠𝑛	NOUN
iajs-2705	234	27	−	−	NOUN
iajs-2705	234	28	𝓅	𝓅	PROPN
iajs-2705	234	29	║	║	NOUN
iajs-2705	234	30	]	]	PUNCT
iajs-2705	234	31	≤	≤	NUM
iajs-2705	234	32	𝛿[(1	𝛿[(1	PROPN
iajs-2705	234	33	−	−	PROPN
iajs-2705	234	34	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	234	35	)	)	PUNCT
iajs-2705	234	36	║	║	NOUN
iajs-2705	234	37	𝑠𝑛	𝑠𝑛	NOUN
iajs-2705	234	38	−	−	NOUN
iajs-2705	234	39	𝓅	𝓅	NOUN
iajs-2705	234	40	║	║	NOUN
iajs-2705	234	41	+	+	CCONJ
iajs-2705	234	42	𝛿𝓈𝑛((1	𝛿𝓈𝑛((1	NOUN
iajs-2705	234	43	−	−	NOUN
iajs-2705	234	44	𝓉𝑛)	𝓉𝑛)	NOUN
iajs-2705	234	45	║	║	NOUN
iajs-2705	234	46	𝑑𝑛	𝑑𝑛	NOUN
iajs-2705	234	47	−	−	NOUN
iajs-2705	234	48	𝓅	𝓅	NOUN
iajs-2705	234	49	║	║	NOUN
iajs-2705	234	50	+	+	X
iajs-2705	234	51	𝛿𝓈𝑛𝓉𝑛	𝛿𝓈𝑛𝓉𝑛	ADJ
iajs-2705	234	52	║	║	NOUN
iajs-2705	234	53	𝑠𝑛	𝑠𝑛	NOUN
iajs-2705	234	54	−	−	NOUN
iajs-2705	234	55	𝓅	𝓅	X
iajs-2705	234	56	║	║	NOUN
iajs-2705	234	57	)	)	PUNCT
iajs-2705	234	58	]	]	PUNCT
iajs-2705	235	1	+	+	CCONJ
iajs-2705	235	2	𝒵𝒜	𝒵𝒜	NOUN
iajs-2705	235	3	(	(	PUNCT
iajs-2705	235	4	𝓃𝑠𝑛	𝓃𝑠𝑛	NOUN
iajs-2705	235	5	,	,	PUNCT
iajs-2705	235	6	𝓂𝑝	𝓂𝑝	ADP
iajs-2705	235	7	)	)	PUNCT
iajs-2705	235	8	+	+	CCONJ
iajs-2705	235	9	𝒵𝒜	𝒵𝒜	PROPN
iajs-2705	235	10	(	(	PUNCT
iajs-2705	235	11	𝓃𝑑𝑛	𝓃𝑑𝑛	ADV
iajs-2705	235	12	,	,	PUNCT
iajs-2705	235	13	𝓂𝑝	𝓂𝑝	ADP
iajs-2705	235	14	)	)	PUNCT
iajs-2705	235	15	≤	≤	NOUN
iajs-2705	235	16	𝛿[(1	𝛿[(1	PROPN
iajs-2705	235	17	−	−	PROPN
iajs-2705	235	18	𝓈𝑛	𝓈𝑛	PROPN
iajs-2705	235	19	)	)	PUNCT
iajs-2705	235	20	+	+	CCONJ
iajs-2705	235	21	𝛿𝓈𝑛	𝛿𝓈𝑛	NOUN
iajs-2705	235	22	𝓉𝑛)	𝓉𝑛)	NOUN
iajs-2705	235	23	║	║	NOUN
iajs-2705	235	24	𝑠𝑛	𝑠𝑛	NOUN
iajs-2705	235	25	−	−	NOUN
iajs-2705	235	26	𝓅	𝓅	NOUN
iajs-2705	235	27	║	║	NOUN
iajs-2705	235	28	+	+	CCONJ
iajs-2705	235	29	𝛿	𝛿	PRON
iajs-2705	235	30	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	235	31	−	−	NOUN
iajs-2705	235	32	𝓉𝑛)	𝓉𝑛)	NOUN
iajs-2705	235	33	║	║	NOUN
iajs-2705	235	34	𝑑𝑛	𝑑𝑛	NOUN
iajs-2705	235	35	−	−	NOUN
iajs-2705	235	36	𝓅	𝓅	NOUN
iajs-2705	235	37	║	║	NOUN
iajs-2705	235	38	]	]	PUNCT
iajs-2705	235	39	=	=	PUNCT
iajs-2705	235	40	𝛿[((1	𝛿[((1	PROPN
iajs-2705	236	1	−	−	PROPN
iajs-2705	236	2	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	236	3	−	−	PROPN
iajs-2705	236	4	𝛿𝓉𝑛))	𝛿𝓉𝑛))	NOUN
iajs-2705	236	5	║	║	NOUN
iajs-2705	236	6	(1	(1	PUNCT
iajs-2705	236	7	−	−	NOUN
iajs-2705	236	8	𝓊𝑛	𝓊𝑛	ADJ
iajs-2705	236	9	)	)	PUNCT
iajs-2705	236	10	𝑑𝑛	𝑑𝑛	X
iajs-2705	237	1	+	+	CCONJ
iajs-2705	237	2	𝓊𝑛𝒯𝑑𝑛	𝓊𝑛𝒯𝑑𝑛	NOUN
iajs-2705	237	3	−	−	NOUN
iajs-2705	237	4	𝓅	𝓅	ADP
iajs-2705	237	5	║	║	NOUN
iajs-2705	237	6	+	+	NOUN
iajs-2705	237	7	𝛿𝓈𝑛(1	𝛿𝓈𝑛(1	NOUN
iajs-2705	237	8	−	−	ADP
iajs-2705	237	9	𝓉𝑛)	𝓉𝑛)	NOUN
iajs-2705	237	10	║	║	NOUN
iajs-2705	237	11	𝑑𝑛	𝑑𝑛	NOUN
iajs-2705	237	12	−	−	NOUN
iajs-2705	237	13	𝓅	𝓅	NOUN
iajs-2705	237	14	║	║	NOUN
iajs-2705	237	15	]	]	PUNCT
iajs-2705	237	16	≤	≤	NUM
iajs-2705	237	17	𝛿[((1	𝛿[((1	PROPN
iajs-2705	237	18	−	−	PROPN
iajs-2705	237	19	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	237	20	−	−	PROPN
iajs-2705	237	21	𝛿𝓉𝑛	𝛿𝓉𝑛	NOUN
iajs-2705	237	22	)	)	PUNCT
iajs-2705	237	23	)	)	PUNCT
iajs-2705	238	1	(	(	PUNCT
iajs-2705	238	2	(	(	PUNCT
iajs-2705	238	3	1	1	NUM
iajs-2705	238	4	−	−	NOUN
iajs-2705	238	5	𝓊𝑛	𝓊𝑛	NOUN
iajs-2705	238	6	)	)	PUNCT
iajs-2705	238	7	║	║	NOUN
iajs-2705	238	8	𝑑𝑛	𝑑𝑛	NOUN
iajs-2705	238	9	−	−	NOUN
iajs-2705	238	10	𝓅	𝓅	NOUN
iajs-2705	238	11	║	║	NOUN
iajs-2705	238	12	+	+	CCONJ
iajs-2705	238	13	𝛿𝓊𝑛	𝛿𝓊𝑛	ADJ
iajs-2705	238	14	║	║	NOUN
iajs-2705	238	15	𝑑𝑛	𝑑𝑛	NOUN
iajs-2705	238	16	−	−	X
iajs-2705	238	17	𝓅	𝓅	NOUN
iajs-2705	238	18	║	║	NOUN
iajs-2705	238	19	)	)	PUNCT
iajs-2705	239	1	+	+	NOUN
iajs-2705	239	2	𝛿𝓈𝑛(1	𝛿𝓈𝑛(1	NOUN
iajs-2705	239	3	−	−	ADP
iajs-2705	239	4	𝓉𝑛)	𝓉𝑛)	NOUN
iajs-2705	239	5	║	║	NOUN
iajs-2705	239	6	𝑑𝑛	𝑑𝑛	NOUN
iajs-2705	239	7	−	−	NOUN
iajs-2705	239	8	𝓅	𝓅	NOUN
iajs-2705	239	9	║	║	NOUN
iajs-2705	239	10	+	+	CCONJ
iajs-2705	240	1	𝒵𝒜	𝒵𝒜	PROPN
iajs-2705	240	2	(	(	PUNCT
iajs-2705	240	3	𝓃𝑑𝑛	𝓃𝑑𝑛	ADV
iajs-2705	240	4	,	,	PUNCT
iajs-2705	240	5	𝓂𝑝	𝓂𝑝	ADP
iajs-2705	240	6	)	)	PUNCT
iajs-2705	240	7	]	]	PUNCT
iajs-2705	240	8	≤	≤	PROPN
iajs-2705	241	1	𝛿[((1	𝛿[((1	PROPN
iajs-2705	241	2	−	−	PROPN
iajs-2705	241	3	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	241	4	−	−	PROPN
iajs-2705	241	5	𝛿𝓉𝑛	𝛿𝓉𝑛	NOUN
iajs-2705	241	6	)	)	PUNCT
iajs-2705	241	7	)	)	PUNCT
iajs-2705	241	8	(	(	PUNCT
iajs-2705	241	9	(	(	PUNCT
iajs-2705	241	10	1	1	NUM
iajs-2705	241	11	−	−	NOUN
iajs-2705	241	12	𝓊𝑛	𝓊𝑛	PROPN
iajs-2705	241	13	)	)	PUNCT
iajs-2705	242	1	+	+	PUNCT
iajs-2705	242	2	𝓊𝑛))	𝓊𝑛))	NOUN
iajs-2705	242	3	║	║	NOUN
iajs-2705	242	4	𝑑𝑛	𝑑𝑛	NOUN
iajs-2705	242	5	−	−	NOUN
iajs-2705	242	6	𝓅	𝓅	NOUN
iajs-2705	242	7	║	║	NOUN
iajs-2705	242	8	+	+	NUM
iajs-2705	242	9	𝛿𝓈𝑛(1	𝛿𝓈𝑛(1	NOUN
iajs-2705	242	10	−	−	ADP
iajs-2705	242	11	𝓉𝑛)	𝓉𝑛)	NOUN
iajs-2705	242	12	║	║	NOUN
iajs-2705	242	13	𝑑𝑛	𝑑𝑛	NOUN
iajs-2705	242	14	−	−	NOUN
iajs-2705	242	15	𝓅	𝓅	NOUN
iajs-2705	242	16	║	║	NOUN
iajs-2705	242	17	]	]	PUNCT
iajs-2705	242	18	≤	≤	NUM
iajs-2705	243	1	𝛿[((1	𝛿[((1	PROPN
iajs-2705	244	1	−	−	PROPN
iajs-2705	244	2	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	244	3	−	−	PROPN
iajs-2705	244	4	𝛿𝓉𝑛))	𝛿𝓉𝑛))	NOUN
iajs-2705	244	5	║	║	NOUN
iajs-2705	244	6	𝑑𝑛	𝑑𝑛	NOUN
iajs-2705	244	7	−	−	NOUN
iajs-2705	244	8	𝓅	𝓅	NOUN
iajs-2705	244	9	║	║	NOUN
iajs-2705	244	10	+	+	CCONJ
iajs-2705	244	11	𝛿	𝛿	PRON
iajs-2705	244	12	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	244	13	−	−	NOUN
iajs-2705	244	14	𝓉𝑛)	𝓉𝑛)	NOUN
iajs-2705	244	15	║	║	NOUN
iajs-2705	244	16	𝑑𝑛	𝑑𝑛	NOUN
iajs-2705	244	17	−	−	NOUN
iajs-2705	244	18	𝓅	𝓅	NOUN
iajs-2705	244	19	║	║	NOUN
iajs-2705	244	20	]	]	PUNCT
iajs-2705	244	21	=	=	PUNCT
iajs-2705	244	22	𝛿[((1	𝛿[((1	PROPN
iajs-2705	245	1	−	−	PROPN
iajs-2705	245	2	𝓈𝑛(1	𝓈𝑛(1	PROPN
iajs-2705	245	3	−	−	NUM
iajs-2705	245	4	𝛿))	𝛿))	NOUN
iajs-2705	245	5	║	║	NOUN
iajs-2705	245	6	𝑑𝑛	𝑑𝑛	NOUN
iajs-2705	245	7	−	−	NOUN
iajs-2705	245	8	𝓅	𝓅	PROPN
iajs-2705	245	9	║	║	NOUN
iajs-2705	245	10	]	]	PUNCT
iajs-2705	245	11	≤	≤	ADJ
iajs-2705	246	1	𝛿((1	𝛿((1	PROPN
iajs-2705	246	2	−	−	PROPN
iajs-2705	246	3	𝓋(1	𝓋(1	NOUN
iajs-2705	246	4	−	−	NOUN
iajs-2705	246	5	𝛿))	𝛿))	NOUN
iajs-2705	246	6	║	║	NOUN
iajs-2705	246	7	𝑑𝑛	𝑑𝑛	NOUN
iajs-2705	246	8	−	−	NOUN
iajs-2705	246	9	𝓅	𝓅	NOUN
iajs-2705	246	10	║	║	NOUN
iajs-2705	246	11	]	]	PUNCT
iajs-2705	246	12	⁞	⁞	ADP
iajs-2705	246	13	≤	≤	NOUN
iajs-2705	246	14	[	[	PUNCT
iajs-2705	246	15	𝛿((1	𝛿((1	PROPN
iajs-2705	246	16	−	−	PROPN
iajs-2705	246	17	𝓋(1	𝓋(1	NOUN
iajs-2705	246	18	−	−	NOUN
iajs-2705	247	1	𝛿))]𝑛	𝛿))]𝑛	VERB
iajs-2705	247	2	║	║	PROPN
iajs-2705	247	3	𝑑0	𝑑0	NOUN
iajs-2705	247	4	−	−	NOUN
iajs-2705	247	5	𝓅	𝓅	NOUN
iajs-2705	247	6	║	║	NOUN
iajs-2705	247	7	let	let	VERB
iajs-2705	247	8	𝐷𝑛	𝐷𝑛	NOUN
iajs-2705	247	9	=	=	PUNCT
iajs-2705	247	10	[	[	PUNCT
iajs-2705	247	11	𝛿((1	𝛿((1	PROPN
iajs-2705	247	12	−	−	PROPN
iajs-2705	247	13	𝓋(1	𝓋(1	NOUN
iajs-2705	247	14	−	−	NOUN
iajs-2705	248	1	𝛿))]𝑛	𝛿))]𝑛	VERB
iajs-2705	248	2	║	║	PROPN
iajs-2705	248	3	𝑑0	𝑑0	NOUN
iajs-2705	248	4	−	−	NOUN
iajs-2705	248	5	𝓅	𝓅	NOUN
iajs-2705	248	6	║	║	NOUN
iajs-2705	248	7	form	form	NOUN
iajs-2705	248	8	zenali	zenali	VERB
iajs-2705	248	9	-	-	PUNCT
iajs-2705	248	10	iteration	iteration	NOUN
iajs-2705	248	11	,	,	PUNCT
iajs-2705	248	12	we	we	PRON
iajs-2705	248	13	have	have	AUX
iajs-2705	248	14	,	,	PUNCT
iajs-2705	248	15	𝑍𝐴𝑛	𝑍𝐴𝑛	ADJ
iajs-2705	248	16	=	=	SYM
iajs-2705	248	17	(	(	PUNCT
iajs-2705	248	18	𝛿3	𝛿3	X
iajs-2705	248	19	[	[	PUNCT
iajs-2705	248	20	1	1	NUM
iajs-2705	248	21	−	−	PROPN
iajs-2705	248	22	𝓋(1	𝓋(1	NOUN
iajs-2705	248	23	−	−	NOUN
iajs-2705	248	24	𝛿	𝛿	NOUN
iajs-2705	248	25	)	)	PUNCT
iajs-2705	248	26	]	]	PUNCT
iajs-2705	248	27	2)𝑛	2)𝑛	NUM
iajs-2705	248	28	║	║	NOUN
iajs-2705	248	29	𝑥0	𝑥0	NOUN
iajs-2705	248	30	−	−	PROPN
iajs-2705	248	31	𝑝	𝑝	NOUN
iajs-2705	248	32	║	║	NOUN
iajs-2705	248	33	𝑍𝐴𝑛	𝑍𝐴𝑛	NOUN
iajs-2705	248	34	𝐷𝑛	𝐷𝑛	NOUN
iajs-2705	248	35	=	=	SYM
iajs-2705	248	36	(	(	PUNCT
iajs-2705	248	37	𝛿3	𝛿3	X
iajs-2705	248	38	[	[	X
iajs-2705	248	39	1−𝓋(1−𝛿	1−𝓋(1−𝛿	NUM
iajs-2705	248	40	)	)	PUNCT
iajs-2705	248	41	]	]	PUNCT
iajs-2705	249	1	2)𝑛	2)𝑛	NUM
iajs-2705	249	2	║	║	NOUN
iajs-2705	249	3	𝑥0−𝑝	𝑥0−𝑝	NOUN
iajs-2705	249	4	║	║	NOUN
iajs-2705	249	5	[	[	PUNCT
iajs-2705	249	6	𝛿((1−	𝛿((1−	PROPN
iajs-2705	249	7	𝓋(1−𝛿))]𝑛	𝓋(1−𝛿))]𝑛	ADJ
iajs-2705	249	8	║	║	VERB
iajs-2705	249	9	𝑑0−𝓅	𝑑0−𝓅	PROPN
iajs-2705	249	10	║	║	NOUN
iajs-2705	249	11	→	→	SYM
iajs-2705	249	12	0	0	NUM
iajs-2705	249	13	as	as	ADP
iajs-2705	249	14	𝑛	𝑛	PROPN
iajs-2705	249	15	→	→	SYM
iajs-2705	249	16	∞.	∞.	PROPN
iajs-2705	249	17	thus	thus	ADV
iajs-2705	249	18	<	<	AUX
iajs-2705	249	19	𝑥𝑛	𝑥𝑛	X
iajs-2705	249	20	>	>	X
iajs-2705	249	21	converges	converge	NOUN
iajs-2705	249	22	to	to	ADP
iajs-2705	249	23	𝓅	𝓅	NOUN
iajs-2705	249	24	faster	fast	ADV
iajs-2705	249	25	than	than	ADP
iajs-2705	249	26	<	<	X
iajs-2705	249	27	𝑑𝑛	𝑑𝑛	X
iajs-2705	249	28	>	>	PUNCT
iajs-2705	249	29	.	.	PUNCT
iajs-2705	250	1	so	so	ADV
iajs-2705	250	2	,	,	PUNCT
iajs-2705	250	3	the	the	DET
iajs-2705	250	4	zenali	zenali	VERB
iajs-2705	250	5	-	-	PUNCT
iajs-2705	250	6	iteration	iteration	NOUN
iajs-2705	250	7	converges	converge	NOUN
iajs-2705	250	8	faster	fast	ADV
iajs-2705	250	9	than	than	ADP
iajs-2705	250	10	d	d	PRON
iajs-2705	250	11	iteration	iteration	NOUN
iajs-2705	250	12	.	.	PUNCT
iajs-2705	251	1	∎	∎	PROPN
iajs-2705	251	2	ibn	ibn	PROPN
iajs-2705	251	3	al	al	PROPN
iajs-2705	251	4	-	-	PUNCT
iajs-2705	251	5	haitham	haitham	PROPN
iajs-2705	251	6	jour	jour	X
iajs-2705	251	7	.	.	PROPN
iajs-2705	251	8	for	for	ADP
iajs-2705	251	9	pure	pure	ADJ
iajs-2705	251	10	&	&	CCONJ
iajs-2705	251	11	appl	appl	PROPN
iajs-2705	251	12	.	.	PUNCT
iajs-2705	252	1	sci	sci	PROPN
iajs-2705	252	2	.	.	PROPN
iajs-2705	253	1	34(4)2021	34(4)2021	NUM
iajs-2705	253	2	90	90	NUM
iajs-2705	253	3	we	we	PRON
iajs-2705	253	4	proof	proof	VERB
iajs-2705	253	5	other	other	ADJ
iajs-2705	253	6	iterations	iteration	NOUN
iajs-2705	253	7	by	by	ADP
iajs-2705	253	8	the	the	DET
iajs-2705	253	9	same	same	ADJ
iajs-2705	253	10	proof	proof	ADJ
iajs-2705	253	11	way	way	NOUN
iajs-2705	253	12	of	of	ADP
iajs-2705	253	13	the	the	DET
iajs-2705	253	14	previous	previous	ADJ
iajs-2705	253	15	theorem	theorem	PROPN
iajs-2705	253	16	.	.	PROPN
iajs-2705	253	17	example	example	NOUN
iajs-2705	253	18	2.10	2.10	NUM
iajs-2705	253	19	:	:	PUNCT
iajs-2705	253	20	let	let	VERB
iajs-2705	253	21	𝒩	𝒩	PROPN
iajs-2705	253	22	=	=	PUNCT
iajs-2705	253	23	𝑅	𝑅	PROPN
iajs-2705	253	24	and	and	CCONJ
iajs-2705	253	25	𝒞	𝒞	PROPN
iajs-2705	253	26	=	=	PUNCT
iajs-2705	254	1	[	[	X
iajs-2705	254	2	0,100	0,100	NUM
iajs-2705	254	3	]	]	PUNCT
iajs-2705	254	4	.	.	PUNCT
iajs-2705	255	1	and	and	CCONJ
iajs-2705	255	2	𝒯	𝒯	PROPN
iajs-2705	255	3	be	be	VERB
iajs-2705	255	4	a	a	DET
iajs-2705	255	5	mapping	mapping	NOUN
iajs-2705	255	6	on	on	ADP
iajs-2705	255	7	𝒞	𝒞	PROPN
iajs-2705	255	8	defined	define	VERB
iajs-2705	255	9	by	by	ADP
iajs-2705	255	10	�	�	PROPN
iajs-2705	255	11	̃	̃	PROPN
iajs-2705	255	12	�	�	NOUN
iajs-2705	255	13	=	=	PUNCT
iajs-2705	255	14	√	√	NUM
iajs-2705	255	15	�	�	SYM
iajs-2705	255	16	̃	̃	NOUN
iajs-2705	255	17	�	�	NOUN
iajs-2705	255	18	2	2	NUM
iajs-2705	255	19	−	−	PROPN
iajs-2705	255	20	9	9	NUM
iajs-2705	255	21	�	�	PROPN
iajs-2705	255	22	̃	̃	PROPN
iajs-2705	255	23	�	�	NOUN
iajs-2705	255	24	+	+	CCONJ
iajs-2705	255	25	54	54	NUM
iajs-2705	255	26	,	,	PUNCT
iajs-2705	255	27	for	for	ADP
iajs-2705	255	28	all	all	PRON
iajs-2705	255	29	𝑥	𝑥	DET
iajs-2705	255	30	𝜖	𝜖	PROPN
iajs-2705	255	31	𝒞	𝒞	PROPN
iajs-2705	255	32	,	,	PUNCT
iajs-2705	255	33	such	such	ADJ
iajs-2705	255	34	that	that	SCONJ
iajs-2705	255	35	𝒯	𝒯	PROPN
iajs-2705	255	36	is	be	AUX
iajs-2705	255	37	a	a	DET
iajs-2705	255	38	𝛿𝒵𝒜	𝛿𝒵𝒜	NOUN
iajs-2705	255	39	−	−	PROPN
iajs-2705	255	40	quasi	quasi	ADJ
iajs-2705	255	41	contraction	contraction	NOUN
iajs-2705	255	42	𝓂apping	𝓂appe	VERB
iajs-2705	255	43	and	and	CCONJ
iajs-2705	255	44	unique	unique	ADJ
iajs-2705	255	45	fixed	fix	VERB
iajs-2705	255	46	point	point	NOUN
iajs-2705	255	47	say	say	VERB
iajs-2705	255	48	𝓅	𝓅	X
iajs-2705	255	49	=	=	SYM
iajs-2705	255	50	6	6	NUM
iajs-2705	255	51	.	.	X
iajs-2705	256	1	take	take	VERB
iajs-2705	256	2	<	<	X
iajs-2705	256	3	𝓈𝑛	𝓈𝑛	NOUN
iajs-2705	256	4	>	>	X
iajs-2705	256	5	=	=	X
iajs-2705	256	6	<	<	X
iajs-2705	256	7	𝓉𝑛	𝓉𝑛	X
iajs-2705	256	8	>	>	X
iajs-2705	256	9	=	=	PUNCT
iajs-2705	257	1	<	<	X
iajs-2705	257	2	𝓊𝑛	𝓊𝑛	X
iajs-2705	257	3	>	>	X
iajs-2705	257	4	=	=	PUNCT
iajs-2705	257	5	3	3	NUM
iajs-2705	257	6	4	4	NUM
iajs-2705	257	7	,	,	PUNCT
iajs-2705	257	8	𝑣	𝑣	PRON
iajs-2705	257	9	=	=	NOUN
iajs-2705	257	10	1	1	NUM
iajs-2705	257	11	2	2	NUM
iajs-2705	257	12	with	with	ADP
iajs-2705	257	13	initial	initial	ADJ
iajs-2705	257	14	value	value	NOUN
iajs-2705	257	15	30	30	NUM
iajs-2705	257	16	.	.	PUNCT
iajs-2705	257	17	table	table	NOUN
iajs-2705	258	1	1	1	NUM
iajs-2705	258	2	.	.	PUNCT
iajs-2705	258	3	comparison	comparison	NOUN
iajs-2705	258	4	speed	speed	NOUN
iajs-2705	258	5	of	of	ADP
iajs-2705	258	6	convergence	convergence	NOUN
iajs-2705	258	7	among	among	ADP
iajs-2705	258	8	various	various	ADJ
iajs-2705	258	9	iteration	iteration	NOUN
iajs-2705	258	10	methods	method	NOUN
iajs-2705	258	11	.	.	PUNCT
iajs-2705	259	1	n	n	PRON
iajs-2705	260	1	zenali	zenali	VERB
iajs-2705	260	2	k	k	X
iajs-2705	260	3	*	*	PUNCT
iajs-2705	260	4	dishikawa	dishikawa	PROPN
iajs-2705	260	5	mann	mann	PROPN
iajs-2705	260	6	1	1	NUM
iajs-2705	260	7	30	30	NUM
iajs-2705	260	8	30	30	NUM
iajs-2705	260	9	30	30	NUM
iajs-2705	260	10	30	30	NUM
iajs-2705	260	11	30	30	NUM
iajs-2705	260	12	2	2	NUM
iajs-2705	260	13	13.9156	13.9156	NUM
iajs-2705	260	14	17.1404	17.1404	NUM
iajs-2705	260	15	21.1334	21.1334	NUM
iajs-2705	260	16	25.0120	25.0120	NUM
iajs-2705	260	17	27.1150	27.1150	NUM
iajs-2705	260	18	3	3	NUM
iajs-2705	260	19	6.1717	6.1717	NUM
iajs-2705	260	20	7.9203	7.9203	NUM
iajs-2705	260	21	13.2989	13.2989	NUM
iajs-2705	260	22	20.2548	20.2548	NUM
iajs-2705	260	23	24.2908	24.2908	NUM
iajs-2705	260	24	4	4	NUM
iajs-2705	260	25	6.0006	6.0006	NUM
iajs-2705	260	26	6.0388	6.0388	NUM
iajs-2705	260	27	7.8776	7.8776	NUM
iajs-2705	260	28	15.8509	15.8509	NUM
iajs-2705	260	29	21.5421	21.5421	NUM
iajs-2705	260	30	5	5	NUM
iajs-2705	260	31	6.0000	6.0000	NUM
iajs-2705	260	32	6.0004	6.0004	NUM
iajs-2705	260	33	6.1725	6.1725	NUM
iajs-2705	260	34	12.0133	12.0133	NUM
iajs-2705	260	35	18.8893	18.8893	NUM
iajs-2705	260	36	6	6	NUM
iajs-2705	260	37	6.0000	6.0000	NUM
iajs-2705	260	38	6.0087	6.0087	NUM
iajs-2705	260	39	9.0688	9.0688	NUM
iajs-2705	260	40	16.3607	16.3607	NUM
iajs-2705	260	41	7	7	NUM
iajs-2705	260	42	6.0007	6.0007	NUM
iajs-2705	260	43	7.2820	7.2820	NUM
iajs-2705	260	44	13.9954	13.9954	NUM
iajs-2705	260	45	8	8	NUM
iajs-2705	260	46	6.0000	6.0000	NUM
iajs-2705	260	47	6.4668	6.4668	NUM
iajs-2705	260	48	11.8476	11.8476	NUM
iajs-2705	260	49	9	9	NUM
iajs-2705	260	50	6.1601	6.1601	NUM
iajs-2705	260	51	9.8476	9.8476	NUM
iajs-2705	260	52	10	10	NUM
iajs-2705	260	53	6.0537	6.0537	NUM
iajs-2705	260	54	8.4901	8.4901	NUM
iajs-2705	260	55	11	11	NUM
iajs-2705	260	56	6.0179	6.0179	NUM
iajs-2705	260	57	7.4083	7.4083	NUM
iajs-2705	260	58	12	12	NUM
iajs-2705	260	59	6.0060	6.0060	NUM
iajs-2705	260	60	6.7247	6.7247	NUM
iajs-2705	260	61	13	13	NUM
iajs-2705	260	62	6.0020	6.0020	NUM
iajs-2705	260	63	6.3468	6.3468	NUM
iajs-2705	260	64	14	14	NUM
iajs-2705	260	65	6.0007	6.0007	NUM
iajs-2705	260	66	6.1587	6.1587	NUM
iajs-2705	260	67	15	15	NUM
iajs-2705	260	68	6.0002	6.0002	NUM
iajs-2705	260	69	6.0709	6.0709	NUM
iajs-2705	260	70	16	16	NUM
iajs-2705	260	71	6.0001	6.0001	NUM
iajs-2705	260	72	6.0313	6.0313	NUM
iajs-2705	260	73	17	17	NUM
iajs-2705	260	74	6.0000	6.0000	NUM
iajs-2705	260	75	6.0137	6.0137	NUM
iajs-2705	260	76	18	18	NUM
iajs-2705	260	77	6.0011	6.0011	NUM
iajs-2705	260	78	19	19	NUM
iajs-2705	260	79	6.0005	6.0005	NUM
iajs-2705	260	80	20	20	NUM
iajs-2705	260	81	6.0001	6.0001	NUM
iajs-2705	260	82	21	21	NUM
iajs-2705	260	83	6.0000	6.0000	NUM
iajs-2705	260	84	3.conclusion	3.conclusion	NUM
iajs-2705	260	85	ibn	ibn	PROPN
iajs-2705	260	86	al	al	PROPN
iajs-2705	260	87	-	-	PUNCT
iajs-2705	260	88	haitham	haitham	PROPN
iajs-2705	260	89	jour	jour	X
iajs-2705	260	90	.	.	PROPN
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iajs-2705	261	2	pure	pure	ADJ
iajs-2705	261	3	&	&	CCONJ
iajs-2705	261	4	appl	appl	PROPN
iajs-2705	261	5	.	.	PUNCT
iajs-2705	262	1	sci	sci	PROPN
iajs-2705	262	2	.	.	PROPN
iajs-2705	263	1	34(4)2021	34(4)2021	NUM
iajs-2705	263	2	91	91	NUM
iajs-2705	263	3	in	in	ADP
iajs-2705	263	4	this	this	DET
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iajs-2705	263	6	,	,	PUNCT
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iajs-2705	263	10	method	method	NOUN
iajs-2705	263	11	for	for	ADP
iajs-2705	263	12	approximation	approximation	NOUN
iajs-2705	263	13	of	of	ADP
iajs-2705	263	14	fixed	fix	VERB
iajs-2705	263	15	points	point	NOUN
iajs-2705	263	16	and	and	CCONJ
iajs-2705	263	17	a	a	DET
iajs-2705	263	18	new	new	ADJ
iajs-2705	263	19	contraction	contraction	NOUN
iajs-2705	263	20	mappings	mapping	NOUN
iajs-2705	263	21	called	call	VERB
iajs-2705	263	22	δ𝒵𝒜	δ𝒵𝒜	NOUN
iajs-2705	263	23	−	−	PROPN
iajs-2705	263	24	quasi	quasi	ADJ
iajs-2705	263	25	contraction	contraction	NOUN
iajs-2705	263	26	mappings	mapping	NOUN
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iajs-2705	263	28	introduced	introduce	VERB
iajs-2705	263	29	.	.	PUNCT
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iajs-2705	264	2	,	,	PUNCT
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iajs-2705	264	4	proved	prove	VERB
iajs-2705	264	5	that	that	SCONJ
iajs-2705	264	6	our	our	PRON
iajs-2705	264	7	iteration	iteration	NOUN
iajs-2705	264	8	process	process	NOUN
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iajs-2705	264	11	than	than	ADP
iajs-2705	264	12	the	the	DET
iajs-2705	264	13	existing	exist	VERB
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iajs-2705	264	15	iterations	iteration	NOUN
iajs-2705	264	16	like	like	ADP
iajs-2705	264	17	mann	mann	PROPN
iajs-2705	264	18	,	,	PUNCT
iajs-2705	264	19	ishikawa	ishikawa	PROPN
iajs-2705	264	20	,	,	PUNCT
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iajs-2705	264	22	,	,	PUNCT
iajs-2705	264	23	d	d	X
iajs-2705	264	24	iterations	iteration	NOUN
iajs-2705	264	25	and	and	CCONJ
iajs-2705	264	26	𝒦	𝒦	PROPN
iajs-2705	264	27	*	*	PUNCT
iajs-2705	264	28	iteration	iteration	NOUN
iajs-2705	264	29	and	and	CCONJ
iajs-2705	264	30	proved	prove	VERB
iajs-2705	264	31	that	that	SCONJ
iajs-2705	264	32	all	all	DET
iajs-2705	264	33	these	these	DET
iajs-2705	264	34	iterations	iteration	NOUN
iajs-2705	264	35	are	be	AUX
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iajs-2705	264	43	−	−	PROPN
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iajs-2705	264	45	contraction	contraction	NOUN
iajs-2705	264	46	.	.	PUNCT
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iajs-2705	265	3	.	.	PUNCT
iajs-2705	266	1	maibed	maibed	PROPN
iajs-2705	266	2	,	,	PUNCT
iajs-2705	266	3	z.	z.	PROPN
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iajs-2705	266	8	point	point	NOUN
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iajs-2705	266	13	mappings	mapping	NOUN
iajs-2705	266	14	in	in	ADP
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iajs-2705	266	17	space,(ijciet	space,(ijciet	PROPN
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iajs-2705	267	2	.	.	X
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iajs-2705	267	4	,	,	PUNCT
iajs-2705	267	5	z.	z.	PROPN
iajs-2705	267	6	h.	h.	PROPN
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iajs-2705	267	9	of	of	ADP
iajs-2705	267	10	iteration	iteration	NOUN
iajs-2705	267	11	processes	process	NOUN
iajs-2705	267	12	for	for	ADP
iajs-2705	267	13	infinite	infinite	ADJ
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iajs-2705	267	15	of	of	ADP
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iajs-2705	267	17	extended	extend	VERB
iajs-2705	267	18	mappings	mapping	NOUN
iajs-2705	267	19	,	,	PUNCT
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iajs-2705	267	22	.	.	PUNCT
iajs-2705	268	1	series	series	PROPN
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iajs-2705	269	5	,	,	PUNCT
iajs-2705	269	6	012042	012042	NUM
iajs-2705	269	7	doi	doi	NOUN
iajs-2705	269	8	:	:	PUNCT
iajs-2705	269	9	10.1088/1742	10.1088/1742	NUM
iajs-2705	269	10	-	-	PUNCT
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iajs-2705	269	12	.	.	PUNCT
iajs-2705	270	1	3	3	X
iajs-2705	270	2	.	.	X
iajs-2705	270	3	maibed	maibed	PROPN
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iajs-2705	270	5	z.	z.	PROPN
iajs-2705	270	6	h.	h.	PROPN
iajs-2705	270	7	,	,	PUNCT
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iajs-2705	270	11	-	-	PUNCT
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iajs-2705	270	14	point	point	NOUN
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iajs-2705	270	19	mappings	mapping	NOUN
iajs-2705	270	20	,	,	PUNCT
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iajs-2705	271	1	4	4	X
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iajs-2705	271	5	z.	z.	PROPN
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iajs-2705	271	19	,	,	PUNCT
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iajs-2705	273	1	series	series	PROPN
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iajs-2705	275	7	conf	conf	PROPN
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iajs-2705	276	5	,	,	PUNCT
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iajs-2705	277	5	a	a	DET
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iajs-2705	278	1	z	z	PROPN
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iajs-2705	279	18	,	,	PUNCT
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iajs-2705	279	20	,	,	PUNCT
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iajs-2705	282	4	,	,	PUNCT
iajs-2705	282	5	z.	z.	PROPN
iajs-2705	282	6	h.	h.	PROPN
iajs-2705	282	7	;	;	PUNCT
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iajs-2705	283	2	,	,	PUNCT
iajs-2705	283	3	s.	s.	PROPN
iajs-2705	283	4	s.	s.	PROPN
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iajs-2705	283	8	fixed	fix	VERB
iajs-2705	283	9	point	point	NOUN
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iajs-2705	283	11	by	by	ADP
iajs-2705	283	12	iteration	iteration	NOUN
iajs-2705	283	13	processes	process	NOUN
iajs-2705	283	14	,	,	PUNCT
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iajs-2705	283	22	,	,	PUNCT
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iajs-2705	283	24	,	,	PUNCT
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iajs-2705	283	27	.	.	X
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iajs-2705	283	29	,	,	PUNCT
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iajs-2705	283	32	approximation	approximation	NOUN
iajs-2705	283	33	of	of	ADP
iajs-2705	283	34	fixed	fix	VERB
iajs-2705	283	35	points	point	NOUN
iajs-2705	283	36	.	.	PUNCT
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iajs-2705	284	2	,	,	PUNCT
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iajs-2705	284	6	.	.	PUNCT
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iajs-2705	286	9	iteration	iteration	NOUN
iajs-2705	286	10	,	,	PUNCT
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iajs-2705	286	12	,	,	PUNCT
iajs-2705	286	13	am.math.soc	am.math.soc	PROPN
iajs-2705	286	14	.	.	PROPN
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iajs-2705	286	18	,	,	PUNCT
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iajs-2705	286	20	-	-	SYM
iajs-2705	286	21	510	510	NUM
iajs-2705	286	22	.	.	PUNCT
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iajs-2705	286	24	.	.	PUNCT
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iajs-2705	287	14	,	,	PUNCT
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iajs-2705	287	16	-	-	PUNCT
iajs-2705	287	17	150	150	NUM
iajs-2705	287	18	.	.	PUNCT
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iajs-2705	288	2	.	.	PUNCT
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iajs-2705	289	3	j	j	PROPN
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iajs-2705	289	5	;	;	PUNCT
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iajs-2705	289	7	,	,	PUNCT
iajs-2705	289	8	a.	a.	NOUN
iajs-2705	289	9	on	on	ADP
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iajs-2705	289	12	of	of	ADP
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iajs-2705	289	14	of	of	ADP
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iajs-2705	289	18	,	,	PUNCT
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iajs-2705	289	20	-	-	PUNCT
iajs-2705	289	21	iteration	iteration	NOUN
iajs-2705	289	22	,	,	PUNCT
iajs-2705	289	23	and	and	CCONJ
iajs-2705	289	24	d	d	X
iajs-2705	289	25	-	-	PUNCT
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iajs-2705	289	32	on	on	ADP
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iajs-2705	289	35	.	.	PUNCT
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iajs-2705	290	2	abstract	abstract	ADJ
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iajs-2705	290	6	.	.	PUNCT
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iajs-2705	291	2	,	,	PUNCT
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iajs-2705	291	6	.	.	PUNCT
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iajs-2705	292	2	,	,	PUNCT
iajs-2705	292	3	e.	e.	PROPN
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iajs-2705	292	8	des	des	PROPN
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iajs-2705	292	13	etla	etla	VERB
iajs-2705	292	14	methode	methode	PROPN
iajs-2705	292	15	des	des	PROPN
iajs-2705	292	16	approximations	approximation	NOUN
iajs-2705	292	17	successives	successive	NOUN
iajs-2705	292	18	,	,	PUNCT
iajs-2705	292	19	j.	j.	PROPN
iajs-2705	292	20	math	math	PROPN
iajs-2705	292	21	.	.	PUNCT
iajs-2705	293	1	pures	pure	NOUN
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iajs-2705	293	3	.	.	PUNCT
iajs-2705	294	1	6	6	NUM
iajs-2705	294	2	:	:	PUNCT
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iajs-2705	294	4	-	-	SYM
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iajs-2705	294	6	.	.	PUNCT
iajs-2705	295	1	14	14	NUM
iajs-2705	295	2	.	.	PUNCT
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iajs-2705	296	2	,	,	PUNCT
iajs-2705	296	3	k.	k.	PROPN
iajs-2705	296	4	;	;	PUNCT
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iajs-2705	296	6	,	,	PUNCT
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iajs-2705	296	10	-	-	PUNCT
iajs-2705	296	11	step	step	NOUN
iajs-2705	296	12	iteration	iteration	NOUN
iajs-2705	296	13	process	process	NOUN
iajs-2705	296	14	and	and	CCONJ
iajs-2705	296	15	fxed	fxe	VERB
iajs-2705	296	16	point	point	NOUN
iajs-2705	296	17	approximation	approximation	NOUN
iajs-2705	296	18	in	in	ADP
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iajs-2705	296	20	spaces	space	NOUN
iajs-2705	296	21	.	.	PUNCT
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iajs-2705	297	2	.	.	PUNCT
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iajs-2705	298	2	.	.	PUNCT
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iajs-2705	299	2	.	.	PUNCT
iajs-2705	300	1	2018	2018	NUM
iajs-2705	300	2	.	.	PUNCT
iajs-2705	301	1	87	87	NUM
iajs-2705	301	2	-	-	SYM
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iajs-2705	301	4	.	.	PUNCT
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iajs-2705	302	2	.	.	PUNCT
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iajs-2705	303	7	schemes	scheme	NOUN
iajs-2705	303	8	for	for	ADP
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iajs-2705	303	12	,	,	PUNCT
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iajs-2705	303	14	of	of	ADP
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iajs-2705	303	20	:	:	PUNCT
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iajs-2705	303	26	.	.	PUNCT
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iajs-2705	304	9	iteration	iteration	NOUN
iajs-2705	304	10	for	for	ADP
iajs-2705	304	11	a	a	DET
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iajs-2705	304	13	of	of	ADP
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iajs-2705	304	19	point	point	NOUN
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iajs-2705	304	21	and	and	CCONJ
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iajs-2705	304	23	,	,	PUNCT
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iajs-2705	304	25	-	-	SYM
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iajs-2705	304	27	.	.	PUNCT
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iajs-2705	305	2	.	.	PUNCT
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iajs-2705	306	8	to	to	ADP
iajs-2705	306	9	fixed	fix	VERB
iajs-2705	306	10	points	point	NOUN
iajs-2705	306	11	of	of	ADP
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iajs-2705	306	15	,	,	PUNCT
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iajs-2705	308	1	soc	soc	PROPN
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iajs-2705	308	3	,	,	PUNCT
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iajs-2705	310	8	for	for	ADP
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iajs-2705	310	13	,	,	PUNCT
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