id	sid	tid	token	lemma	pos
ejpam-6698	1	1	european	european	PROPN
ejpam-6698	1	2	journal	journal	PROPN
ejpam-6698	1	3	of	of	ADP
ejpam-6698	1	4	pure	pure	ADJ
ejpam-6698	1	5	and	and	CCONJ
ejpam-6698	1	6	applied	applied	ADJ
ejpam-6698	1	7	mathematics	mathematic	NOUN
ejpam-6698	1	8	2025	2025	NUM
ejpam-6698	1	9	,	,	PUNCT
ejpam-6698	1	10	vol	vol	NOUN
ejpam-6698	1	11	.	.	PROPN
ejpam-6698	1	12	18	18	NUM
ejpam-6698	1	13	,	,	PUNCT
ejpam-6698	1	14	issue	issue	NOUN
ejpam-6698	1	15	3	3	NUM
ejpam-6698	1	16	,	,	PUNCT
ejpam-6698	1	17	article	article	NOUN
ejpam-6698	1	18	number	number	NOUN
ejpam-6698	1	19	6698	6698	NUM
ejpam-6698	1	20	issn	issn	PROPN
ejpam-6698	1	21	1307	1307	NUM
ejpam-6698	1	22	-	-	SYM
ejpam-6698	1	23	5543	5543	NUM
ejpam-6698	1	24	–	–	PUNCT
ejpam-6698	1	25	ejpam.com	ejpam.com	X
ejpam-6698	1	26	published	publish	VERB
ejpam-6698	1	27	by	by	ADP
ejpam-6698	1	28	new	new	PROPN
ejpam-6698	1	29	york	york	PROPN
ejpam-6698	1	30	business	business	PROPN
ejpam-6698	1	31	global	global	ADJ
ejpam-6698	1	32	hankel	hankel	NOUN
ejpam-6698	1	33	determinant	determinant	ADJ
ejpam-6698	1	34	estimates	estimate	NOUN
ejpam-6698	1	35	for	for	ADP
ejpam-6698	1	36	bi	bi	ADJ
ejpam-6698	1	37	-	-	ADJ
ejpam-6698	1	38	bazilevič-type	bazilevič-type	NOUN
ejpam-6698	1	39	functions	function	NOUN
ejpam-6698	1	40	involving	involve	VERB
ejpam-6698	1	41	q	q	ADJ
ejpam-6698	1	42	-	-	PUNCT
ejpam-6698	1	43	fibonacci	fibonacci	NOUN
ejpam-6698	1	44	numbers	number	NOUN
ejpam-6698	1	45	abdullah	abdullah	PROPN
ejpam-6698	1	46	alsoboh1	alsoboh1	PROPN
ejpam-6698	1	47	,	,	PUNCT
ejpam-6698	1	48	adel	adel	PROPN
ejpam-6698	1	49	salim	salim	PROPN
ejpam-6698	1	50	tayyah2	tayyah2	PROPN
ejpam-6698	1	51	,	,	PUNCT
ejpam-6698	1	52	ala	ala	PROPN
ejpam-6698	1	53	amourah3,4	amourah3,4	PROPN
ejpam-6698	1	54	,	,	PUNCT
ejpam-6698	1	55	abdullrahman	abdullrahman	PROPN
ejpam-6698	1	56	a.	a.	PROPN
ejpam-6698	1	57	al	al	PROPN
ejpam-6698	1	58	-	-	PUNCT
ejpam-6698	1	59	maqbali1,∗	maqbali1,∗	NOUN
ejpam-6698	1	60	,	,	PUNCT
ejpam-6698	1	61	khaled	khaled	PROPN
ejpam-6698	1	62	al	al	PROPN
ejpam-6698	1	63	mashrafi1	mashrafi1	PROPN
ejpam-6698	1	64	,	,	PUNCT
ejpam-6698	1	65	tala	tala	PROPN
ejpam-6698	1	66	sasa5	sasa5	PROPN
ejpam-6698	1	67	1	1	NUM
ejpam-6698	1	68	department	department	NOUN
ejpam-6698	1	69	of	of	ADP
ejpam-6698	1	70	basic	basic	ADJ
ejpam-6698	1	71	and	and	CCONJ
ejpam-6698	1	72	applied	applied	ADJ
ejpam-6698	1	73	sciences	science	NOUN
ejpam-6698	1	74	,	,	PUNCT
ejpam-6698	1	75	college	college	NOUN
ejpam-6698	1	76	of	of	ADP
ejpam-6698	1	77	applied	apply	VERB
ejpam-6698	1	78	and	and	CCONJ
ejpam-6698	1	79	health	health	NOUN
ejpam-6698	1	80	sciences	science	NOUN
ejpam-6698	1	81	,	,	PUNCT
ejpam-6698	1	82	a’sharqiyah	a’sharqiyah	PROPN
ejpam-6698	1	83	university	university	NOUN
ejpam-6698	1	84	,	,	PUNCT
ejpam-6698	1	85	post	post	PROPN
ejpam-6698	1	86	box	box	PROPN
ejpam-6698	1	87	no	no	INTJ
ejpam-6698	1	88	.	.	PROPN
ejpam-6698	1	89	42	42	NUM
ejpam-6698	1	90	,	,	PUNCT
ejpam-6698	1	91	post	post	VERB
ejpam-6698	1	92	code	code	NOUN
ejpam-6698	1	93	no	no	INTJ
ejpam-6698	1	94	.	.	PROPN
ejpam-6698	1	95	400	400	NUM
ejpam-6698	1	96	,	,	PUNCT
ejpam-6698	1	97	ibra	ibra	NOUN
ejpam-6698	1	98	,	,	PUNCT
ejpam-6698	1	99	sultanate	sultanate	NOUN
ejpam-6698	1	100	of	of	ADP
ejpam-6698	1	101	oman	oman	PROPN
ejpam-6698	1	102	2	2	NUM
ejpam-6698	1	103	department	department	NOUN
ejpam-6698	1	104	of	of	ADP
ejpam-6698	1	105	computer	computer	NOUN
ejpam-6698	1	106	science	science	NOUN
ejpam-6698	1	107	,	,	PUNCT
ejpam-6698	1	108	college	college	NOUN
ejpam-6698	1	109	of	of	ADP
ejpam-6698	1	110	computer	computer	NOUN
ejpam-6698	1	111	science	science	NOUN
ejpam-6698	1	112	and	and	CCONJ
ejpam-6698	1	113	information	information	NOUN
ejpam-6698	1	114	technology	technology	NOUN
ejpam-6698	1	115	,	,	PUNCT
ejpam-6698	1	116	university	university	PROPN
ejpam-6698	1	117	of	of	ADP
ejpam-6698	1	118	al	al	PROPN
ejpam-6698	1	119	-	-	PUNCT
ejpam-6698	1	120	qadisiyah	qadisiyah	PROPN
ejpam-6698	1	121	,	,	PUNCT
ejpam-6698	1	122	diwaniyah	diwaniyah	PROPN
ejpam-6698	1	123	,	,	PUNCT
ejpam-6698	1	124	58002	58002	NUM
ejpam-6698	1	125	,	,	PUNCT
ejpam-6698	1	126	iraq	iraq	PROPN
ejpam-6698	1	127	3	3	NUM
ejpam-6698	1	128	mathematics	mathematics	PROPN
ejpam-6698	1	129	education	education	NOUN
ejpam-6698	1	130	program	program	NOUN
ejpam-6698	1	131	,	,	PUNCT
ejpam-6698	1	132	faculty	faculty	NOUN
ejpam-6698	1	133	of	of	ADP
ejpam-6698	1	134	education	education	NOUN
ejpam-6698	1	135	and	and	CCONJ
ejpam-6698	1	136	arts	art	NOUN
ejpam-6698	1	137	,	,	PUNCT
ejpam-6698	1	138	sohar	sohar	PROPN
ejpam-6698	1	139	university	university	PROPN
ejpam-6698	1	140	,	,	PUNCT
ejpam-6698	1	141	sohar	sohar	PROPN
ejpam-6698	1	142	311	311	NUM
ejpam-6698	1	143	,	,	PUNCT
ejpam-6698	1	144	oman	oman	NOUN
ejpam-6698	1	145	4	4	NUM
ejpam-6698	1	146	jadara	jadara	PROPN
ejpam-6698	1	147	university	university	PROPN
ejpam-6698	1	148	research	research	NOUN
ejpam-6698	1	149	center	center	NOUN
ejpam-6698	1	150	,	,	PUNCT
ejpam-6698	1	151	jadara	jadara	PROPN
ejpam-6698	1	152	university	university	PROPN
ejpam-6698	1	153	,	,	PUNCT
ejpam-6698	1	154	jordan	jordan	PROPN
ejpam-6698	1	155	5	5	NUM
ejpam-6698	1	156	department	department	NOUN
ejpam-6698	1	157	of	of	ADP
ejpam-6698	1	158	mathematics	mathematic	NOUN
ejpam-6698	1	159	,	,	PUNCT
ejpam-6698	1	160	faculty	faculty	NOUN
ejpam-6698	1	161	of	of	ADP
ejpam-6698	1	162	science	science	NOUN
ejpam-6698	1	163	,	,	PUNCT
ejpam-6698	1	164	applied	apply	VERB
ejpam-6698	1	165	science	science	NOUN
ejpam-6698	1	166	private	private	ADJ
ejpam-6698	1	167	university	university	NOUN
ejpam-6698	1	168	,	,	PUNCT
ejpam-6698	1	169	amman	amman	PROPN
ejpam-6698	1	170	,	,	PUNCT
ejpam-6698	1	171	jordan	jordan	PROPN
ejpam-6698	1	172	abstract	abstract	PROPN
ejpam-6698	1	173	.	.	PUNCT
ejpam-6698	2	1	this	this	DET
ejpam-6698	2	2	study	study	NOUN
ejpam-6698	2	3	focuses	focus	VERB
ejpam-6698	2	4	on	on	ADP
ejpam-6698	2	5	a	a	DET
ejpam-6698	2	6	specific	specific	ADJ
ejpam-6698	2	7	class	class	NOUN
ejpam-6698	2	8	of	of	ADP
ejpam-6698	2	9	analytic	analytic	ADJ
ejpam-6698	2	10	and	and	CCONJ
ejpam-6698	2	11	bi	bi	ADJ
ejpam-6698	2	12	-	-	ADJ
ejpam-6698	2	13	univalent	univalent	ADJ
ejpam-6698	2	14	functions	function	NOUN
ejpam-6698	2	15	of	of	ADP
ejpam-6698	2	16	bazilevičtype	bazilevičtype	PROPN
ejpam-6698	2	17	,	,	PUNCT
ejpam-6698	2	18	formulated	formulate	VERB
ejpam-6698	2	19	within	within	ADP
ejpam-6698	2	20	a	a	DET
ejpam-6698	2	21	geometric	geometric	ADJ
ejpam-6698	2	22	context	context	NOUN
ejpam-6698	2	23	shaped	shape	VERB
ejpam-6698	2	24	by	by	ADP
ejpam-6698	2	25	shell	shell	NOUN
ejpam-6698	2	26	-	-	PUNCT
ejpam-6698	2	27	like	like	ADJ
ejpam-6698	2	28	curves	curve	NOUN
ejpam-6698	2	29	and	and	CCONJ
ejpam-6698	2	30	influenced	influence	VERB
ejpam-6698	2	31	by	by	ADP
ejpam-6698	2	32	the	the	DET
ejpam-6698	2	33	q	q	NOUN
ejpam-6698	2	34	-	-	PUNCT
ejpam-6698	2	35	analogue	analogue	NOUN
ejpam-6698	2	36	of	of	ADP
ejpam-6698	2	37	fibonacci	fibonacci	NOUN
ejpam-6698	2	38	numbers	number	NOUN
ejpam-6698	2	39	.	.	PUNCT
ejpam-6698	3	1	by	by	ADP
ejpam-6698	3	2	utilizing	utilize	VERB
ejpam-6698	3	3	the	the	DET
ejpam-6698	3	4	subordination	subordination	NOUN
ejpam-6698	3	5	approach	approach	NOUN
ejpam-6698	3	6	,	,	PUNCT
ejpam-6698	3	7	we	we	PRON
ejpam-6698	3	8	establish	establish	VERB
ejpam-6698	3	9	precise	precise	ADJ
ejpam-6698	3	10	bounds	bound	NOUN
ejpam-6698	3	11	for	for	ADP
ejpam-6698	3	12	the	the	DET
ejpam-6698	3	13	initial	initial	ADJ
ejpam-6698	3	14	coefficients	coefficient	NOUN
ejpam-6698	3	15	in	in	ADP
ejpam-6698	3	16	the	the	DET
ejpam-6698	3	17	taylor	taylor	PROPN
ejpam-6698	3	18	–	–	PUNCT
ejpam-6698	3	19	maclaurin	maclaurin	NOUN
ejpam-6698	3	20	expansion	expansion	NOUN
ejpam-6698	3	21	of	of	ADP
ejpam-6698	3	22	these	these	DET
ejpam-6698	3	23	functions	function	NOUN
ejpam-6698	3	24	.	.	PUNCT
ejpam-6698	4	1	moreover	moreover	ADV
ejpam-6698	4	2	,	,	PUNCT
ejpam-6698	4	3	the	the	DET
ejpam-6698	4	4	paper	paper	NOUN
ejpam-6698	4	5	presents	present	VERB
ejpam-6698	4	6	fekete	fekete	PROPN
ejpam-6698	4	7	–	–	PUNCT
ejpam-6698	4	8	szegö-type	szegö-type	NUM
ejpam-6698	4	9	inequalities	inequality	NOUN
ejpam-6698	4	10	and	and	CCONJ
ejpam-6698	4	11	introduces	introduce	VERB
ejpam-6698	4	12	novel	novel	ADJ
ejpam-6698	4	13	bounds	bound	NOUN
ejpam-6698	4	14	for	for	ADP
ejpam-6698	4	15	the	the	DET
ejpam-6698	4	16	second	second	ADJ
ejpam-6698	4	17	hankel	hankel	NOUN
ejpam-6698	4	18	determinant	determinant	ADJ
ejpam-6698	4	19	,	,	PUNCT
ejpam-6698	4	20	thereby	thereby	ADV
ejpam-6698	4	21	contributing	contribute	VERB
ejpam-6698	4	22	to	to	ADP
ejpam-6698	4	23	a	a	DET
ejpam-6698	4	24	deeper	deep	ADJ
ejpam-6698	4	25	analytical	analytical	ADJ
ejpam-6698	4	26	insight	insight	NOUN
ejpam-6698	4	27	into	into	ADP
ejpam-6698	4	28	the	the	DET
ejpam-6698	4	29	behavior	behavior	NOUN
ejpam-6698	4	30	of	of	ADP
ejpam-6698	4	31	this	this	DET
ejpam-6698	4	32	function	function	NOUN
ejpam-6698	4	33	class	class	NOUN
ejpam-6698	4	34	.	.	PUNCT
ejpam-6698	5	1	these	these	DET
ejpam-6698	5	2	contributions	contribution	NOUN
ejpam-6698	5	3	not	not	PART
ejpam-6698	5	4	only	only	ADV
ejpam-6698	5	5	broaden	broaden	VERB
ejpam-6698	5	6	the	the	DET
ejpam-6698	5	7	scope	scope	NOUN
ejpam-6698	5	8	of	of	ADP
ejpam-6698	5	9	traditional	traditional	ADJ
ejpam-6698	5	10	coefficient	coefficient	NOUN
ejpam-6698	5	11	problems	problem	NOUN
ejpam-6698	5	12	related	relate	VERB
ejpam-6698	5	13	to	to	ADP
ejpam-6698	5	14	bi	bi	ADJ
ejpam-6698	5	15	-	-	ADJ
ejpam-6698	5	16	univalent	univalent	ADJ
ejpam-6698	5	17	functions	function	NOUN
ejpam-6698	5	18	but	but	CCONJ
ejpam-6698	5	19	also	also	ADV
ejpam-6698	5	20	highlight	highlight	VERB
ejpam-6698	5	21	the	the	DET
ejpam-6698	5	22	intricate	intricate	ADJ
ejpam-6698	5	23	connections	connection	NOUN
ejpam-6698	5	24	among	among	ADP
ejpam-6698	5	25	geometric	geometric	ADJ
ejpam-6698	5	26	function	function	NOUN
ejpam-6698	5	27	theory	theory	NOUN
ejpam-6698	5	28	,	,	PUNCT
ejpam-6698	5	29	specialized	specialized	ADJ
ejpam-6698	5	30	function	function	NOUN
ejpam-6698	5	31	classes	class	NOUN
ejpam-6698	5	32	,	,	PUNCT
ejpam-6698	5	33	and	and	CCONJ
ejpam-6698	5	34	the	the	DET
ejpam-6698	5	35	principles	principle	NOUN
ejpam-6698	5	36	of	of	ADP
ejpam-6698	5	37	q	q	NOUN
ejpam-6698	5	38	-	-	NOUN
ejpam-6698	5	39	calculus	calculus	NOUN
ejpam-6698	5	40	.	.	PUNCT
ejpam-6698	6	1	the	the	DET
ejpam-6698	6	2	outcomes	outcome	NOUN
ejpam-6698	6	3	pave	pave	VERB
ejpam-6698	6	4	the	the	DET
ejpam-6698	6	5	way	way	NOUN
ejpam-6698	6	6	for	for	ADP
ejpam-6698	6	7	future	future	ADJ
ejpam-6698	6	8	studies	study	NOUN
ejpam-6698	6	9	aimed	aim	VERB
ejpam-6698	6	10	at	at	ADP
ejpam-6698	6	11	deriving	derive	VERB
ejpam-6698	6	12	bounds	bound	NOUN
ejpam-6698	6	13	for	for	ADP
ejpam-6698	6	14	higher	high	ADJ
ejpam-6698	6	15	-	-	PUNCT
ejpam-6698	6	16	order	order	NOUN
ejpam-6698	6	17	coefficients	coefficient	NOUN
ejpam-6698	6	18	and	and	CCONJ
ejpam-6698	6	19	examining	examine	VERB
ejpam-6698	6	20	determinant	determinant	ADJ
ejpam-6698	6	21	-	-	PUNCT
ejpam-6698	6	22	related	relate	VERB
ejpam-6698	6	23	functionals	functional	NOUN
ejpam-6698	6	24	under	under	ADP
ejpam-6698	6	25	this	this	DET
ejpam-6698	6	26	theoretical	theoretical	ADJ
ejpam-6698	6	27	model	model	NOUN
ejpam-6698	6	28	.	.	PUNCT
ejpam-6698	7	1	2020	2020	NUM
ejpam-6698	7	2	mathematics	mathematics	PROPN
ejpam-6698	7	3	subject	subject	NOUN
ejpam-6698	7	4	classifications	classification	NOUN
ejpam-6698	7	5	:	:	PUNCT
ejpam-6698	7	6	30a36	30a36	NUM
ejpam-6698	7	7	,	,	PUNCT
ejpam-6698	7	8	30c45	30c45	NUM
ejpam-6698	7	9	,	,	PUNCT
ejpam-6698	7	10	81p68	81p68	NUM
ejpam-6698	7	11	,	,	PUNCT
ejpam-6698	7	12	11b37	11b37	DET
ejpam-6698	7	13	key	key	ADJ
ejpam-6698	7	14	words	word	NOUN
ejpam-6698	7	15	and	and	CCONJ
ejpam-6698	7	16	phrases	phrase	NOUN
ejpam-6698	7	17	:	:	PUNCT
ejpam-6698	7	18	analytic	analytic	ADJ
ejpam-6698	7	19	functions	function	NOUN
ejpam-6698	7	20	,	,	PUNCT
ejpam-6698	7	21	bi	bi	ADJ
ejpam-6698	7	22	-	-	ADJ
ejpam-6698	7	23	univalent	univalent	ADJ
ejpam-6698	7	24	functions	function	NOUN
ejpam-6698	7	25	,	,	PUNCT
ejpam-6698	7	26	starlike	starlike	NOUN
ejpam-6698	7	27	class	class	NOUN
ejpam-6698	7	28	,	,	PUNCT
ejpam-6698	7	29	fekete	fekete	PROPN
ejpam-6698	7	30	–	–	PUNCT
ejpam-6698	7	31	szegö	szegö	ADJ
ejpam-6698	7	32	functional	functional	ADJ
ejpam-6698	7	33	,	,	PUNCT
ejpam-6698	7	34	fibonacci	fibonacci	NOUN
ejpam-6698	7	35	sequence	sequence	NOUN
ejpam-6698	7	36	,	,	PUNCT
ejpam-6698	7	37	q	q	NOUN
ejpam-6698	7	38	-	-	PUNCT
ejpam-6698	7	39	calculus	calculus	ADJ
ejpam-6698	7	40	,	,	PUNCT
ejpam-6698	7	41	shell	shell	NOUN
ejpam-6698	7	42	-	-	PUNCT
ejpam-6698	7	43	like	like	ADJ
ejpam-6698	7	44	curves	curve	NOUN
ejpam-6698	7	45	let	let	VERB
ejpam-6698	7	46	a	a	DET
ejpam-6698	7	47	denote	denote	NOUN
ejpam-6698	7	48	the	the	DET
ejpam-6698	7	49	class	class	NOUN
ejpam-6698	7	50	of	of	ADP
ejpam-6698	7	51	functions	function	NOUN
ejpam-6698	7	52	that	that	PRON
ejpam-6698	7	53	are	be	AUX
ejpam-6698	7	54	analytic	analytic	ADJ
ejpam-6698	7	55	in	in	ADP
ejpam-6698	7	56	the	the	DET
ejpam-6698	7	57	open	open	ADJ
ejpam-6698	7	58	unit	unit	NOUN
ejpam-6698	7	59	disk	disk	NOUN
ejpam-6698	7	60	d	d	PROPN
ejpam-6698	7	61	,	,	PUNCT
ejpam-6698	7	62	defined	define	VERB
ejpam-6698	7	63	by	by	ADP
ejpam-6698	7	64	d	d	PROPN
ejpam-6698	7	65	=	=	SYM
ejpam-6698	7	66	{	{	PUNCT
ejpam-6698	7	67	z	z	NOUN
ejpam-6698	7	68	=	=	SYM
ejpam-6698	7	69	a+	a+	PUNCT
ejpam-6698	7	70	ib	ib	PROPN
ejpam-6698	7	71	∈	∈	PROPN
ejpam-6698	7	72	c	c	NOUN
ejpam-6698	7	73	:	:	PUNCT
ejpam-6698	7	74	a	a	X
ejpam-6698	7	75	,	,	PUNCT
ejpam-6698	7	76	b	b	X
ejpam-6698	7	77	∈	∈	PROPN
ejpam-6698	7	78	r	r	NOUN
ejpam-6698	7	79	,	,	PUNCT
ejpam-6698	7	80	|z|	|z|	VERB
ejpam-6698	7	81	<	<	X
ejpam-6698	7	82	1	1	NUM
ejpam-6698	7	83	}	}	PUNCT
ejpam-6698	7	84	,	,	PUNCT
ejpam-6698	7	85	which	which	PRON
ejpam-6698	7	86	represents	represent	VERB
ejpam-6698	7	87	the	the	DET
ejpam-6698	7	88	interior	interior	NOUN
ejpam-6698	7	89	of	of	ADP
ejpam-6698	7	90	the	the	DET
ejpam-6698	7	91	unit	unit	NOUN
ejpam-6698	7	92	circle	circle	NOUN
ejpam-6698	7	93	in	in	ADP
ejpam-6698	7	94	the	the	DET
ejpam-6698	7	95	complex	complex	ADJ
ejpam-6698	7	96	plane	plane	NOUN
ejpam-6698	7	97	,	,	PUNCT
ejpam-6698	7	98	centered	center	VERB
ejpam-6698	7	99	at	at	ADP
ejpam-6698	7	100	the	the	DET
ejpam-6698	7	101	origin	origin	NOUN
ejpam-6698	7	102	and	and	CCONJ
ejpam-6698	7	103	excluding	exclude	VERB
ejpam-6698	7	104	the	the	DET
ejpam-6698	7	105	boundary	boundary	NOUN
ejpam-6698	7	106	.	.	PUNCT
ejpam-6698	8	1	∗corresponding	∗corresponde	VERB
ejpam-6698	8	2	author	author	NOUN
ejpam-6698	8	3	.	.	PUNCT
ejpam-6698	9	1	doi	doi	NOUN
ejpam-6698	9	2	:	:	PUNCT
ejpam-6698	9	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6698	https://doi.org/10.29020/nybg.ejpam.v18i3.6698	PROPN
ejpam-6698	9	4	email	email	NOUN
ejpam-6698	9	5	addresses	address	NOUN
ejpam-6698	9	6	:	:	PUNCT
ejpam-6698	9	7	abdullah.alsoboh@asu.edu.om	abdullah.alsoboh@asu.edu.om	NOUN
ejpam-6698	9	8	(	(	PUNCT
ejpam-6698	9	9	a.	a.	NOUN
ejpam-6698	9	10	alsoboh	alsoboh	PROPN
ejpam-6698	9	11	)	)	PUNCT
ejpam-6698	9	12	,	,	PUNCT
ejpam-6698	9	13	abdulrahman.almaqbali@asu.edu.om	abdulrahman.almaqbali@asu.edu.om	NOUN
ejpam-6698	9	14	(	(	PUNCT
ejpam-6698	9	15	a.	a.	NOUN
ejpam-6698	9	16	a.	a.	PROPN
ejpam-6698	9	17	al	al	PROPN
ejpam-6698	9	18	-	-	PUNCT
ejpam-6698	9	19	maqbali	maqbali	PROPN
ejpam-6698	9	20	)	)	PUNCT
ejpam-6698	9	21	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6698	10	1	1	1	NUM
ejpam-6698	10	2	copyright	copyright	NOUN
ejpam-6698	10	3	:	:	PUNCT
ejpam-6698	10	4	©	©	PROPN
ejpam-6698	10	5	2025	2025	NUM
ejpam-6698	10	6	the	the	DET
ejpam-6698	10	7	author(s	author(s	NOUN
ejpam-6698	10	8	)	)	PUNCT
ejpam-6698	10	9	.	.	PUNCT
ejpam-6698	11	1	(	(	PUNCT
ejpam-6698	11	2	cc	cc	NOUN
ejpam-6698	11	3	by	by	ADP
ejpam-6698	11	4	-	-	PUNCT
ejpam-6698	11	5	nc	nc	PROPN
ejpam-6698	11	6	4.0	4.0	NUM
ejpam-6698	11	7	)	)	PUNCT
ejpam-6698	11	8	a.	a.	NOUN
ejpam-6698	11	9	alsoboh	alsoboh	NOUN
ejpam-6698	11	10	et	et	PROPN
ejpam-6698	11	11	al	al	PROPN
ejpam-6698	11	12	.	.	PUNCT
ejpam-6698	11	13	/	/	SYM
ejpam-6698	11	14	eur	eur	PROPN
ejpam-6698	11	15	.	.	PUNCT
ejpam-6698	12	1	j.	j.	PROPN
ejpam-6698	12	2	pure	pure	PROPN
ejpam-6698	12	3	appl	appl	PROPN
ejpam-6698	12	4	.	.	PROPN
ejpam-6698	12	5	math	math	PROPN
ejpam-6698	12	6	,	,	PUNCT
ejpam-6698	12	7	18	18	NUM
ejpam-6698	12	8	(	(	PUNCT
ejpam-6698	12	9	3	3	NUM
ejpam-6698	12	10	)	)	PUNCT
ejpam-6698	12	11	(	(	PUNCT
ejpam-6698	12	12	2025	2025	NUM
ejpam-6698	12	13	)	)	PUNCT
ejpam-6698	12	14	,	,	PUNCT
ejpam-6698	12	15	6698	6698	NUM
ejpam-6698	12	16	2	2	NUM
ejpam-6698	12	17	of	of	ADP
ejpam-6698	12	18	25	25	NUM
ejpam-6698	12	19	each	each	DET
ejpam-6698	12	20	function	function	NOUN
ejpam-6698	12	21	f	f	PROPN
ejpam-6698	12	22	∈	∈	PROPN
ejpam-6698	12	23	a	a	PRON
ejpam-6698	12	24	is	be	AUX
ejpam-6698	12	25	normalized	normalize	VERB
ejpam-6698	12	26	such	such	ADJ
ejpam-6698	12	27	that	that	DET
ejpam-6698	12	28	f(0	f(0	NOUN
ejpam-6698	12	29	)	)	PUNCT
ejpam-6698	12	30	=	=	SYM
ejpam-6698	12	31	0	0	NUM
ejpam-6698	12	32	and	and	CCONJ
ejpam-6698	12	33	f	f	PROPN
ejpam-6698	12	34	′(0	′(0	PROPN
ejpam-6698	12	35	)	)	PUNCT
ejpam-6698	13	1	=	=	SYM
ejpam-6698	13	2	1	1	X
ejpam-6698	13	3	.	.	PUNCT
ejpam-6698	14	1	these	these	DET
ejpam-6698	14	2	normalization	normalization	NOUN
ejpam-6698	14	3	conditions	condition	NOUN
ejpam-6698	14	4	remove	remove	VERB
ejpam-6698	14	5	translational	translational	ADJ
ejpam-6698	14	6	and	and	CCONJ
ejpam-6698	14	7	dilational	dilational	ADJ
ejpam-6698	14	8	ambiguities	ambiguity	NOUN
ejpam-6698	14	9	,	,	PUNCT
ejpam-6698	14	10	ensuring	ensure	VERB
ejpam-6698	14	11	a	a	DET
ejpam-6698	14	12	standardized	standardized	ADJ
ejpam-6698	14	13	form	form	NOUN
ejpam-6698	14	14	that	that	PRON
ejpam-6698	14	15	facilitates	facilitate	VERB
ejpam-6698	14	16	structural	structural	ADJ
ejpam-6698	14	17	analysis	analysis	NOUN
ejpam-6698	14	18	and	and	CCONJ
ejpam-6698	14	19	comparative	comparative	ADJ
ejpam-6698	14	20	study	study	NOUN
ejpam-6698	14	21	under	under	ADP
ejpam-6698	14	22	shared	share	VERB
ejpam-6698	14	23	geometric	geometric	ADJ
ejpam-6698	14	24	constraints	constraint	NOUN
ejpam-6698	14	25	.	.	PUNCT
ejpam-6698	15	1	each	each	DET
ejpam-6698	15	2	member	member	NOUN
ejpam-6698	15	3	f	f	PROPN
ejpam-6698	15	4	∈	∈	PROPN
ejpam-6698	15	5	a	a	DET
ejpam-6698	15	6	possesses	possesse	NOUN
ejpam-6698	15	7	a	a	DET
ejpam-6698	15	8	maclaurin	maclaurin	NOUN
ejpam-6698	15	9	series	series	NOUN
ejpam-6698	15	10	representation	representation	NOUN
ejpam-6698	15	11	about	about	ADP
ejpam-6698	15	12	the	the	DET
ejpam-6698	15	13	origin	origin	NOUN
ejpam-6698	15	14	,	,	PUNCT
ejpam-6698	15	15	which	which	PRON
ejpam-6698	15	16	can	can	AUX
ejpam-6698	15	17	be	be	AUX
ejpam-6698	15	18	written	write	VERB
ejpam-6698	15	19	as	as	ADP
ejpam-6698	15	20	:	:	PUNCT
ejpam-6698	15	21	f(z	f(z	NUM
ejpam-6698	15	22	)	)	PUNCT
ejpam-6698	16	1	=	=	SYM
ejpam-6698	16	2	z	z	NOUN
ejpam-6698	17	1	+	+	NOUN
ejpam-6698	17	2	∞∑	∞∑	NUM
ejpam-6698	17	3	n=2	n=2	PRON
ejpam-6698	17	4	an	an	DET
ejpam-6698	17	5	z	z	NOUN
ejpam-6698	17	6	n	n	CCONJ
ejpam-6698	17	7	,	,	PUNCT
ejpam-6698	17	8	for	for	ADP
ejpam-6698	17	9	z	z	PROPN
ejpam-6698	17	10	∈	∈	PROPN
ejpam-6698	17	11	d	d	X
ejpam-6698	17	12	,	,	PUNCT
ejpam-6698	17	13	(	(	PUNCT
ejpam-6698	17	14	1	1	X
ejpam-6698	17	15	)	)	PUNCT
ejpam-6698	17	16	where	where	SCONJ
ejpam-6698	17	17	the	the	DET
ejpam-6698	17	18	coefficients	coefficient	NOUN
ejpam-6698	17	19	an	an	DET
ejpam-6698	17	20	determine	determine	NOUN
ejpam-6698	17	21	the	the	DET
ejpam-6698	17	22	nonlinear	nonlinear	ADJ
ejpam-6698	17	23	components	component	NOUN
ejpam-6698	17	24	of	of	ADP
ejpam-6698	17	25	f	f	PROPN
ejpam-6698	17	26	.	.	PUNCT
ejpam-6698	18	1	the	the	DET
ejpam-6698	18	2	leading	lead	VERB
ejpam-6698	18	3	term	term	NOUN
ejpam-6698	18	4	z	z	NOUN
ejpam-6698	18	5	arises	arise	VERB
ejpam-6698	18	6	from	from	ADP
ejpam-6698	18	7	the	the	DET
ejpam-6698	18	8	derivative	derivative	ADJ
ejpam-6698	18	9	condition	condition	NOUN
ejpam-6698	18	10	f	f	PROPN
ejpam-6698	18	11	′(0	′(0	PROPN
ejpam-6698	18	12	)	)	PUNCT
ejpam-6698	18	13	=	=	SYM
ejpam-6698	18	14	1	1	NUM
ejpam-6698	18	15	,	,	PUNCT
ejpam-6698	18	16	and	and	CCONJ
ejpam-6698	18	17	subsequent	subsequent	ADJ
ejpam-6698	18	18	terms	term	NOUN
ejpam-6698	18	19	capture	capture	VERB
ejpam-6698	18	20	the	the	DET
ejpam-6698	18	21	analytic	analytic	ADJ
ejpam-6698	18	22	structure	structure	NOUN
ejpam-6698	18	23	beyond	beyond	ADP
ejpam-6698	18	24	linearity	linearity	NOUN
ejpam-6698	18	25	.	.	PUNCT
ejpam-6698	19	1	a	a	DET
ejpam-6698	19	2	function	function	NOUN
ejpam-6698	19	3	f	f	PROPN
ejpam-6698	19	4	is	be	AUX
ejpam-6698	19	5	called	call	VERB
ejpam-6698	19	6	a	a	DET
ejpam-6698	19	7	schwarz	schwarz	NOUN
ejpam-6698	19	8	function	function	NOUN
ejpam-6698	19	9	if	if	SCONJ
ejpam-6698	19	10	it	it	PRON
ejpam-6698	19	11	is	be	AUX
ejpam-6698	19	12	analytic	analytic	ADJ
ejpam-6698	19	13	throughout	throughout	ADP
ejpam-6698	19	14	d	d	PROPN
ejpam-6698	19	15	,	,	PUNCT
ejpam-6698	19	16	satisfies	satisfy	VERB
ejpam-6698	19	17	f(0	f(0	NOUN
ejpam-6698	19	18	)	)	PUNCT
ejpam-6698	19	19	=	=	SYM
ejpam-6698	19	20	0	0	NUM
ejpam-6698	19	21	,	,	PUNCT
ejpam-6698	19	22	and	and	CCONJ
ejpam-6698	19	23	its	its	PRON
ejpam-6698	19	24	modulus	modulus	NOUN
ejpam-6698	19	25	remains	remain	VERB
ejpam-6698	19	26	strictly	strictly	ADV
ejpam-6698	19	27	less	less	ADJ
ejpam-6698	19	28	than	than	ADP
ejpam-6698	19	29	one	one	NUM
ejpam-6698	19	30	within	within	ADP
ejpam-6698	19	31	the	the	DET
ejpam-6698	19	32	disk	disk	NOUN
ejpam-6698	19	33	,	,	PUNCT
ejpam-6698	19	34	i.e.	i.e.	X
ejpam-6698	19	35	,	,	PUNCT
ejpam-6698	19	36	|f(z)|	|f(z)|	PROPN
ejpam-6698	19	37	<	<	X
ejpam-6698	19	38	1	1	NUM
ejpam-6698	19	39	for	for	ADP
ejpam-6698	19	40	all	all	DET
ejpam-6698	19	41	z	z	NOUN
ejpam-6698	19	42	∈	∈	PROPN
ejpam-6698	19	43	d.	d.	NOUN
ejpam-6698	19	44	these	these	DET
ejpam-6698	19	45	functions	function	NOUN
ejpam-6698	19	46	are	be	AUX
ejpam-6698	19	47	of	of	ADP
ejpam-6698	19	48	central	central	ADJ
ejpam-6698	19	49	importance	importance	NOUN
ejpam-6698	19	50	in	in	ADP
ejpam-6698	19	51	geometric	geometric	ADJ
ejpam-6698	19	52	function	function	NOUN
ejpam-6698	19	53	theory	theory	NOUN
ejpam-6698	19	54	,	,	PUNCT
ejpam-6698	19	55	particularly	particularly	ADV
ejpam-6698	19	56	in	in	ADP
ejpam-6698	19	57	the	the	DET
ejpam-6698	19	58	context	context	NOUN
ejpam-6698	19	59	of	of	ADP
ejpam-6698	19	60	conformal	conformal	ADJ
ejpam-6698	19	61	and	and	CCONJ
ejpam-6698	19	62	univalent	univalent	ADJ
ejpam-6698	19	63	mappings	mapping	NOUN
ejpam-6698	19	64	.	.	PUNCT
ejpam-6698	20	1	furthermore	furthermore	ADV
ejpam-6698	20	2	,	,	PUNCT
ejpam-6698	20	3	for	for	ADP
ejpam-6698	20	4	any	any	DET
ejpam-6698	20	5	two	two	NUM
ejpam-6698	20	6	functions	function	NOUN
ejpam-6698	20	7	f1	f1	NOUN
ejpam-6698	20	8	,	,	PUNCT
ejpam-6698	20	9	f2	f2	PROPN
ejpam-6698	20	10	∈	∈	PROPN
ejpam-6698	20	11	a	a	PRON
ejpam-6698	20	12	,	,	PUNCT
ejpam-6698	20	13	the	the	DET
ejpam-6698	20	14	function	function	NOUN
ejpam-6698	20	15	f1	f1	NOUN
ejpam-6698	20	16	is	be	AUX
ejpam-6698	20	17	said	say	VERB
ejpam-6698	20	18	to	to	PART
ejpam-6698	20	19	be	be	AUX
ejpam-6698	20	20	subordinate	subordinate	ADJ
ejpam-6698	20	21	to	to	ADP
ejpam-6698	20	22	f2	f2	PROPN
ejpam-6698	20	23	,	,	PUNCT
ejpam-6698	20	24	denoted	denote	VERB
ejpam-6698	20	25	f1	f1	NOUN
ejpam-6698	20	26	≺	≺	NOUN
ejpam-6698	20	27	f2	f2	NOUN
ejpam-6698	20	28	,	,	PUNCT
ejpam-6698	20	29	if	if	SCONJ
ejpam-6698	20	30	there	there	PRON
ejpam-6698	20	31	exists	exist	VERB
ejpam-6698	20	32	a	a	DET
ejpam-6698	20	33	schwarz	schwarz	PROPN
ejpam-6698	20	34	function	function	PROPN
ejpam-6698	20	35	η	η	PROPN
ejpam-6698	20	36	such	such	ADJ
ejpam-6698	20	37	that	that	PRON
ejpam-6698	20	38	f1(z	f1(z	PROPN
ejpam-6698	20	39	)	)	PUNCT
ejpam-6698	20	40	=	=	SYM
ejpam-6698	20	41	f2(η(z	f2(η(z	NUM
ejpam-6698	20	42	)	)	PUNCT
ejpam-6698	20	43	)	)	PUNCT
ejpam-6698	20	44	for	for	ADP
ejpam-6698	20	45	all	all	DET
ejpam-6698	20	46	z	z	NOUN
ejpam-6698	20	47	∈	∈	PROPN
ejpam-6698	20	48	d.	d.	NOUN
ejpam-6698	20	49	this	this	DET
ejpam-6698	20	50	relation	relation	NOUN
ejpam-6698	20	51	implies	imply	VERB
ejpam-6698	20	52	that	that	SCONJ
ejpam-6698	20	53	f1	f1	NOUN
ejpam-6698	20	54	is	be	AUX
ejpam-6698	20	55	functionally	functionally	ADV
ejpam-6698	20	56	dependent	dependent	ADJ
ejpam-6698	20	57	on	on	ADP
ejpam-6698	20	58	f2	f2	PROPN
ejpam-6698	20	59	through	through	ADP
ejpam-6698	20	60	composition	composition	NOUN
ejpam-6698	20	61	with	with	ADP
ejpam-6698	20	62	η	η	NOUN
ejpam-6698	20	63	,	,	PUNCT
ejpam-6698	20	64	preserving	preserve	VERB
ejpam-6698	20	65	analyticity	analyticity	NOUN
ejpam-6698	20	66	while	while	SCONJ
ejpam-6698	20	67	embedding	embed	VERB
ejpam-6698	20	68	geometric	geometric	ADJ
ejpam-6698	20	69	structure	structure	NOUN
ejpam-6698	20	70	.	.	PUNCT
ejpam-6698	21	1	the	the	DET
ejpam-6698	21	2	notion	notion	NOUN
ejpam-6698	21	3	of	of	ADP
ejpam-6698	21	4	subordination	subordination	NOUN
ejpam-6698	21	5	is	be	AUX
ejpam-6698	21	6	a	a	DET
ejpam-6698	21	7	key	key	ADJ
ejpam-6698	21	8	analytical	analytical	ADJ
ejpam-6698	21	9	tool	tool	NOUN
ejpam-6698	21	10	for	for	ADP
ejpam-6698	21	11	examining	examine	VERB
ejpam-6698	21	12	inclusion	inclusion	NOUN
ejpam-6698	21	13	relations	relation	NOUN
ejpam-6698	21	14	,	,	PUNCT
ejpam-6698	21	15	growth	growth	NOUN
ejpam-6698	21	16	estimates	estimate	NOUN
ejpam-6698	21	17	,	,	PUNCT
ejpam-6698	21	18	and	and	CCONJ
ejpam-6698	21	19	mapping	mapping	NOUN
ejpam-6698	21	20	behavior	behavior	NOUN
ejpam-6698	21	21	in	in	ADP
ejpam-6698	21	22	complex	complex	ADJ
ejpam-6698	21	23	analysis	analysis	NOUN
ejpam-6698	21	24	.	.	PUNCT
ejpam-6698	22	1	in	in	ADP
ejpam-6698	22	2	addition	addition	NOUN
ejpam-6698	22	3	,	,	PUNCT
ejpam-6698	22	4	let	let	VERB
ejpam-6698	22	5	us	we	PRON
ejpam-6698	22	6	consider	consider	VERB
ejpam-6698	22	7	the	the	DET
ejpam-6698	22	8	subclass	subclass	NOUN
ejpam-6698	22	9	s	s	NOUN
ejpam-6698	22	10	,	,	PUNCT
ejpam-6698	22	11	s	s	VERB
ejpam-6698	22	12	⊂	⊂	PROPN
ejpam-6698	22	13	a	a	X
ejpam-6698	22	14	,	,	PUNCT
ejpam-6698	22	15	which	which	PRON
ejpam-6698	22	16	comprises	comprise	VERB
ejpam-6698	22	17	all	all	DET
ejpam-6698	22	18	functions	function	NOUN
ejpam-6698	22	19	that	that	PRON
ejpam-6698	22	20	are	be	AUX
ejpam-6698	22	21	univalent	univalent	ADJ
ejpam-6698	22	22	(	(	PUNCT
ejpam-6698	22	23	i.e.	i.e.	X
ejpam-6698	22	24	,	,	PUNCT
ejpam-6698	22	25	one	one	NUM
ejpam-6698	22	26	-	-	PUNCT
ejpam-6698	22	27	to	to	ADP
ejpam-6698	22	28	-	-	PUNCT
ejpam-6698	22	29	one	one	NUM
ejpam-6698	22	30	)	)	PUNCT
ejpam-6698	22	31	within	within	ADP
ejpam-6698	22	32	the	the	DET
ejpam-6698	22	33	unit	unit	NOUN
ejpam-6698	22	34	disk	disk	NOUN
ejpam-6698	22	35	d.	d.	PROPN
ejpam-6698	22	36	we	we	PRON
ejpam-6698	22	37	also	also	ADV
ejpam-6698	22	38	introduce	introduce	VERB
ejpam-6698	22	39	the	the	DET
ejpam-6698	22	40	class	class	NOUN
ejpam-6698	22	41	p	p	NOUN
ejpam-6698	22	42	,	,	PUNCT
ejpam-6698	22	43	defined	define	VERB
ejpam-6698	22	44	as	as	ADP
ejpam-6698	22	45	the	the	DET
ejpam-6698	22	46	family	family	NOUN
ejpam-6698	22	47	of	of	ADP
ejpam-6698	22	48	functions	function	NOUN
ejpam-6698	22	49	in	in	ADP
ejpam-6698	22	50	a	a	PRON
ejpam-6698	22	51	whose	whose	DET
ejpam-6698	22	52	real	real	ADJ
ejpam-6698	22	53	parts	part	NOUN
ejpam-6698	22	54	are	be	AUX
ejpam-6698	22	55	strictly	strictly	ADV
ejpam-6698	22	56	positive	positive	ADJ
ejpam-6698	22	57	throughout	throughout	ADP
ejpam-6698	22	58	d.	d.	PROPN
ejpam-6698	22	59	a	a	DET
ejpam-6698	22	60	typical	typical	ADJ
ejpam-6698	22	61	function	function	NOUN
ejpam-6698	22	62	φ	φ	PROPN
ejpam-6698	22	63	∈	∈	PROPN
ejpam-6698	22	64	p	p	NOUN
ejpam-6698	22	65	admits	admit	VERB
ejpam-6698	22	66	the	the	DET
ejpam-6698	22	67	following	follow	VERB
ejpam-6698	22	68	power	power	NOUN
ejpam-6698	22	69	series	series	PROPN
ejpam-6698	22	70	expansion	expansion	NOUN
ejpam-6698	22	71	:	:	PUNCT
ejpam-6698	22	72	p(z	p(z	NOUN
ejpam-6698	22	73	)	)	PUNCT
ejpam-6698	22	74	=	=	SYM
ejpam-6698	23	1	1	1	NUM
ejpam-6698	23	2	+	+	CCONJ
ejpam-6698	23	3	∞∑	∞∑	NUM
ejpam-6698	23	4	n=1	n=1	PROPN
ejpam-6698	23	5	pnz	pnz	NOUN
ejpam-6698	23	6	n	n	NOUN
ejpam-6698	23	7	=	=	SYM
ejpam-6698	23	8	1	1	NUM
ejpam-6698	23	9	+	+	NUM
ejpam-6698	23	10	p1z	p1z	NOUN
ejpam-6698	23	11	+	+	CCONJ
ejpam-6698	23	12	p2z	p2z	PROPN
ejpam-6698	23	13	2	2	NUM
ejpam-6698	23	14	+	+	CCONJ
ejpam-6698	23	15	p3z	p3z	ADJ
ejpam-6698	23	16	3	3	NUM
ejpam-6698	23	17	+	+	CCONJ
ejpam-6698	23	18	.	.	PUNCT
ejpam-6698	23	19	.	.	PUNCT
ejpam-6698	23	20	.	.	PUNCT
ejpam-6698	24	1	,	,	PUNCT
ejpam-6698	24	2	(	(	PUNCT
ejpam-6698	24	3	z	z	NOUN
ejpam-6698	24	4	∈	∈	PROPN
ejpam-6698	24	5	d	d	NOUN
ejpam-6698	24	6	)	)	PUNCT
ejpam-6698	24	7	.	.	PUNCT
ejpam-6698	25	1	(	(	PUNCT
ejpam-6698	25	2	2	2	X
ejpam-6698	25	3	)	)	PUNCT
ejpam-6698	25	4	where	where	SCONJ
ejpam-6698	25	5	the	the	DET
ejpam-6698	25	6	coefficients	coefficient	NOUN
ejpam-6698	25	7	satisfy	satisfy	VERB
ejpam-6698	25	8	the	the	DET
ejpam-6698	25	9	sharp	sharp	ADJ
ejpam-6698	25	10	bound	bind	VERB
ejpam-6698	25	11	|pn|	|pn|	PROPN
ejpam-6698	25	12	≤	≤	NUM
ejpam-6698	25	13	2	2	NUM
ejpam-6698	25	14	,	,	PUNCT
ejpam-6698	25	15	for	for	ADP
ejpam-6698	25	16	all	all	DET
ejpam-6698	25	17	n	n	PRON
ejpam-6698	25	18	≥	≥	NOUN
ejpam-6698	25	19	1	1	NUM
ejpam-6698	25	20	.	.	PUNCT
ejpam-6698	26	1	(	(	PUNCT
ejpam-6698	26	2	3	3	X
ejpam-6698	26	3	)	)	PUNCT
ejpam-6698	26	4	in	in	ADP
ejpam-6698	26	5	accordance	accordance	NOUN
ejpam-6698	26	6	with	with	ADP
ejpam-6698	26	7	the	the	DET
ejpam-6698	26	8	classical	classical	ADJ
ejpam-6698	26	9	carathéodory	carathéodory	NOUN
ejpam-6698	26	10	lemma	lemma	PROPN
ejpam-6698	26	11	(	(	PUNCT
ejpam-6698	26	12	refer	refer	VERB
ejpam-6698	26	13	to	to	ADP
ejpam-6698	26	14	[	[	X
ejpam-6698	26	15	1	1	X
ejpam-6698	26	16	]	]	PUNCT
ejpam-6698	26	17	for	for	ADP
ejpam-6698	26	18	further	further	ADJ
ejpam-6698	26	19	details	detail	NOUN
ejpam-6698	26	20	)	)	PUNCT
ejpam-6698	26	21	.	.	PUNCT
ejpam-6698	27	1	furthermore	furthermore	ADV
ejpam-6698	27	2	,	,	PUNCT
ejpam-6698	27	3	a	a	DET
ejpam-6698	27	4	function	function	NOUN
ejpam-6698	27	5	φ	φ	X
ejpam-6698	27	6	∈	∈	PROPN
ejpam-6698	28	1	p	p	NOUN
ejpam-6698	28	2	if	if	SCONJ
ejpam-6698	29	1	and	and	CCONJ
ejpam-6698	29	2	only	only	ADV
ejpam-6698	29	3	if	if	SCONJ
ejpam-6698	29	4	it	it	PRON
ejpam-6698	29	5	is	be	AUX
ejpam-6698	29	6	subordinate	subordinate	ADJ
ejpam-6698	29	7	to	to	ADP
ejpam-6698	29	8	the	the	DET
ejpam-6698	29	9	möbius	möbius	PROPN
ejpam-6698	29	10	transformation	transformation	PROPN
ejpam-6698	29	11	1+z	1+z	PROPN
ejpam-6698	29	12	1−z	1−z	NUM
ejpam-6698	29	13	,	,	PUNCT
ejpam-6698	29	14	i.e.	i.e.	X
ejpam-6698	29	15	,	,	PUNCT
ejpam-6698	29	16	φ(z	φ(z	NOUN
ejpam-6698	29	17	)	)	PUNCT
ejpam-6698	29	18	≺	≺	NOUN
ejpam-6698	29	19	1	1	NUM
ejpam-6698	30	1	+	+	CCONJ
ejpam-6698	30	2	z	z	NOUN
ejpam-6698	30	3	1	1	NUM
ejpam-6698	30	4	−	−	PROPN
ejpam-6698	30	5	z	z	NOUN
ejpam-6698	30	6	,	,	PUNCT
ejpam-6698	30	7	z	z	PROPN
ejpam-6698	30	8	∈	∈	PROPN
ejpam-6698	30	9	d.	d.	PROPN
ejpam-6698	30	10	a.	a.	PROPN
ejpam-6698	30	11	alsoboh	alsoboh	PROPN
ejpam-6698	30	12	et	et	PROPN
ejpam-6698	30	13	al	al	PROPN
ejpam-6698	30	14	.	.	PUNCT
ejpam-6698	30	15	/	/	SYM
ejpam-6698	30	16	eur	eur	PROPN
ejpam-6698	30	17	.	.	PUNCT
ejpam-6698	31	1	j.	j.	PROPN
ejpam-6698	31	2	pure	pure	PROPN
ejpam-6698	31	3	appl	appl	PROPN
ejpam-6698	31	4	.	.	PROPN
ejpam-6698	31	5	math	math	PROPN
ejpam-6698	31	6	,	,	PUNCT
ejpam-6698	31	7	18	18	NUM
ejpam-6698	31	8	(	(	PUNCT
ejpam-6698	31	9	3	3	NUM
ejpam-6698	31	10	)	)	PUNCT
ejpam-6698	31	11	(	(	PUNCT
ejpam-6698	31	12	2025	2025	NUM
ejpam-6698	31	13	)	)	PUNCT
ejpam-6698	31	14	,	,	PUNCT
ejpam-6698	31	15	6698	6698	NUM
ejpam-6698	31	16	3	3	NUM
ejpam-6698	31	17	of	of	ADP
ejpam-6698	31	18	25	25	NUM
ejpam-6698	31	19	the	the	DET
ejpam-6698	31	20	class	class	NOUN
ejpam-6698	31	21	of	of	ADP
ejpam-6698	31	22	starlike	starlike	NOUN
ejpam-6698	31	23	functions	function	NOUN
ejpam-6698	31	24	,	,	PUNCT
ejpam-6698	31	25	denoted	denote	VERB
ejpam-6698	31	26	s∗	s∗	PROPN
ejpam-6698	31	27	,	,	PUNCT
ejpam-6698	31	28	can	can	AUX
ejpam-6698	31	29	be	be	AUX
ejpam-6698	31	30	characterized	characterize	VERB
ejpam-6698	31	31	in	in	ADP
ejpam-6698	31	32	various	various	ADJ
ejpam-6698	31	33	ways	way	NOUN
ejpam-6698	31	34	using	use	VERB
ejpam-6698	31	35	subordination	subordination	NOUN
ejpam-6698	31	36	techniques	technique	NOUN
ejpam-6698	31	37	.	.	PUNCT
ejpam-6698	32	1	a	a	DET
ejpam-6698	32	2	notable	notable	ADJ
ejpam-6698	32	3	generalization	generalization	NOUN
ejpam-6698	32	4	was	be	AUX
ejpam-6698	32	5	proposed	propose	VERB
ejpam-6698	32	6	by	by	ADP
ejpam-6698	32	7	ma	ma	PROPN
ejpam-6698	32	8	and	and	CCONJ
ejpam-6698	32	9	minda	minda	PROPN
ejpam-6698	33	1	[	[	X
ejpam-6698	33	2	2	2	NUM
ejpam-6698	33	3	]	]	PUNCT
ejpam-6698	33	4	,	,	PUNCT
ejpam-6698	33	5	who	who	PRON
ejpam-6698	33	6	defined	define	VERB
ejpam-6698	33	7	the	the	DET
ejpam-6698	33	8	following	follow	VERB
ejpam-6698	33	9	class	class	NOUN
ejpam-6698	33	10	:	:	PUNCT
ejpam-6698	33	11	s∗(ω	s∗(ω	PROPN
ejpam-6698	33	12	)	)	PUNCT
ejpam-6698	33	13	=	=	PRON
ejpam-6698	34	1	{	{	PUNCT
ejpam-6698	34	2	f	f	PROPN
ejpam-6698	34	3	∈	∈	PROPN
ejpam-6698	34	4	a	a	DET
ejpam-6698	34	5	:	:	PUNCT
ejpam-6698	34	6	z	z	NOUN
ejpam-6698	34	7	f	f	NOUN
ejpam-6698	34	8	′(z	′(z	NOUN
ejpam-6698	34	9	)	)	PUNCT
ejpam-6698	34	10	f(z	f(z	PROPN
ejpam-6698	34	11	)	)	PUNCT
ejpam-6698	34	12	≺	≺	NOUN
ejpam-6698	34	13	ω(z	ω(z	NUM
ejpam-6698	34	14	)	)	PUNCT
ejpam-6698	34	15	,	,	PUNCT
ejpam-6698	34	16	where	where	SCONJ
ejpam-6698	34	17	ω	ω	PROPN
ejpam-6698	34	18	∈	∈	PROPN
ejpam-6698	34	19	p	p	PROPN
ejpam-6698	34	20	and	and	CCONJ
ejpam-6698	34	21	z	z	NOUN
ejpam-6698	34	22	∈	∈	PROPN
ejpam-6698	34	23	d	d	NOUN
ejpam-6698	34	24	}	}	PUNCT
ejpam-6698	34	25	.	.	PUNCT
ejpam-6698	35	1	in	in	ADP
ejpam-6698	35	2	this	this	DET
ejpam-6698	35	3	formulation	formulation	NOUN
ejpam-6698	35	4	,	,	PUNCT
ejpam-6698	35	5	ω	ω	PROPN
ejpam-6698	35	6	is	be	AUX
ejpam-6698	35	7	assumed	assume	VERB
ejpam-6698	35	8	to	to	PART
ejpam-6698	35	9	be	be	AUX
ejpam-6698	35	10	analytic	analytic	ADJ
ejpam-6698	35	11	in	in	ADP
ejpam-6698	35	12	d	d	NOUN
ejpam-6698	35	13	and	and	CCONJ
ejpam-6698	35	14	possess	possess	VERB
ejpam-6698	35	15	a	a	DET
ejpam-6698	35	16	positive	positive	ADJ
ejpam-6698	35	17	real	real	ADJ
ejpam-6698	35	18	part	part	NOUN
ejpam-6698	35	19	throughout	throughout	ADP
ejpam-6698	35	20	the	the	DET
ejpam-6698	35	21	disk	disk	NOUN
ejpam-6698	35	22	.	.	PUNCT
ejpam-6698	36	1	table	table	NOUN
ejpam-6698	36	2	1	1	NUM
ejpam-6698	36	3	provides	provide	VERB
ejpam-6698	36	4	a	a	DET
ejpam-6698	36	5	variety	variety	NOUN
ejpam-6698	36	6	of	of	ADP
ejpam-6698	36	7	subclasses	subclass	NOUN
ejpam-6698	36	8	of	of	ADP
ejpam-6698	36	9	s∗	s∗	PROPN
ejpam-6698	36	10	,	,	PUNCT
ejpam-6698	36	11	arising	arise	VERB
ejpam-6698	36	12	from	from	ADP
ejpam-6698	36	13	specific	specific	ADJ
ejpam-6698	36	14	choices	choice	NOUN
ejpam-6698	36	15	of	of	ADP
ejpam-6698	36	16	the	the	DET
ejpam-6698	36	17	function	function	NOUN
ejpam-6698	36	18	ω	ω	PROPN
ejpam-6698	36	19	,	,	PUNCT
ejpam-6698	36	20	reflecting	reflect	VERB
ejpam-6698	36	21	the	the	DET
ejpam-6698	36	22	diversity	diversity	NOUN
ejpam-6698	36	23	of	of	ADP
ejpam-6698	36	24	approaches	approach	NOUN
ejpam-6698	36	25	adopted	adopt	VERB
ejpam-6698	36	26	in	in	ADP
ejpam-6698	36	27	the	the	DET
ejpam-6698	36	28	literature	literature	NOUN
ejpam-6698	36	29	for	for	ADP
ejpam-6698	36	30	constructing	construct	VERB
ejpam-6698	36	31	refined	refined	ADJ
ejpam-6698	36	32	categories	category	NOUN
ejpam-6698	36	33	of	of	ADP
ejpam-6698	36	34	starlike	starlike	NOUN
ejpam-6698	36	35	mappings	mapping	NOUN
ejpam-6698	36	36	.	.	PUNCT
ejpam-6698	37	1	table	table	NOUN
ejpam-6698	37	2	1	1	NUM
ejpam-6698	37	3	:	:	PUNCT
ejpam-6698	37	4	enumerates	enumerate	VERB
ejpam-6698	37	5	various	various	ADJ
ejpam-6698	37	6	starlike	starlike	NOUN
ejpam-6698	37	7	function	function	NOUN
ejpam-6698	37	8	classes	class	NOUN
ejpam-6698	37	9	characterized	characterize	VERB
ejpam-6698	37	10	via	via	ADP
ejpam-6698	37	11	the	the	DET
ejpam-6698	37	12	principle	principle	NOUN
ejpam-6698	37	13	of	of	ADP
ejpam-6698	37	14	subordination	subordination	NOUN
ejpam-6698	37	15	.	.	PUNCT
ejpam-6698	38	1	the	the	DET
ejpam-6698	38	2	subclasses	subclass	NOUN
ejpam-6698	38	3	of	of	ADP
ejpam-6698	38	4	starlike	starlike	NOUN
ejpam-6698	38	5	functions	function	NOUN
ejpam-6698	38	6	ref	ref	VERB
ejpam-6698	38	7	.	.	PUNCT
ejpam-6698	39	1	author	author	NOUN
ejpam-6698	39	2	/	/	SYM
ejpam-6698	39	3	s	s	PART
ejpam-6698	39	4	1	1	NUM
ejpam-6698	39	5	s∗	s∗	PROPN
ejpam-6698	39	6	(	(	PUNCT
ejpam-6698	39	7	1+z	1+z	NUM
ejpam-6698	39	8	1−z	1−z	NUM
ejpam-6698	39	9	)	)	PUNCT
ejpam-6698	40	1	=	=	PRON
ejpam-6698	40	2	{	{	PUNCT
ejpam-6698	40	3	f	f	PROPN
ejpam-6698	40	4	∈	∈	PROPN
ejpam-6698	41	1	a	a	PRON
ejpam-6698	41	2	:	:	PUNCT
ejpam-6698	41	3	zf	zf	PROPN
ejpam-6698	41	4	′(z	′(z	NOUN
ejpam-6698	41	5	)	)	PUNCT
ejpam-6698	41	6	f(z	f(z	PROPN
ejpam-6698	41	7	)	)	PUNCT
ejpam-6698	41	8	≺	≺	NOUN
ejpam-6698	41	9	1+z	1+z	NUM
ejpam-6698	41	10	1−z	1−z	NUM
ejpam-6698	41	11	}	}	PUNCT
ejpam-6698	42	1	[	[	X
ejpam-6698	42	2	3	3	NUM
ejpam-6698	42	3	]	]	PUNCT
ejpam-6698	42	4	janowski	janowski	NOUN
ejpam-6698	42	5	2	2	NUM
ejpam-6698	42	6	s∗(ϑ	s∗(ϑ	PROPN
ejpam-6698	42	7	)	)	PUNCT
ejpam-6698	43	1	=	=	PRON
ejpam-6698	43	2	{	{	PUNCT
ejpam-6698	43	3	f	f	PROPN
ejpam-6698	43	4	∈	∈	PROPN
ejpam-6698	44	1	a	a	PRON
ejpam-6698	44	2	:	:	PUNCT
ejpam-6698	44	3	zf	zf	PROPN
ejpam-6698	44	4	′(z	′(z	NOUN
ejpam-6698	44	5	)	)	PUNCT
ejpam-6698	44	6	f(z	f(z	PROPN
ejpam-6698	44	7	)	)	PUNCT
ejpam-6698	44	8	≺	≺	VERB
ejpam-6698	44	9	1+(1−2ϑ)z	1+(1−2ϑ)z	NUM
ejpam-6698	44	10	1−z	1−z	NUM
ejpam-6698	44	11	}	}	PUNCT
ejpam-6698	44	12	,	,	PUNCT
ejpam-6698	44	13	where	where	SCONJ
ejpam-6698	44	14	0	0	NUM
ejpam-6698	44	15	≤	≤	NUM
ejpam-6698	44	16	ϑ	ϑ	X
ejpam-6698	44	17	<	<	X
ejpam-6698	44	18	1	1	NUM
ejpam-6698	44	19	[	[	X
ejpam-6698	44	20	4	4	NUM
ejpam-6698	44	21	]	]	X
ejpam-6698	44	22	robertson	robertson	PROPN
ejpam-6698	44	23	3	3	NUM
ejpam-6698	44	24	sl(ϑ	sl(ϑ	PROPN
ejpam-6698	44	25	)	)	PUNCT
ejpam-6698	44	26	=	=	PRON
ejpam-6698	45	1	{	{	PUNCT
ejpam-6698	45	2	f	f	PROPN
ejpam-6698	45	3	∈	∈	PROPN
ejpam-6698	45	4	a	a	DET
ejpam-6698	45	5	:	:	PUNCT
ejpam-6698	45	6	zf	zf	PROPN
ejpam-6698	45	7	′(z	′(z	NOUN
ejpam-6698	45	8	)	)	PUNCT
ejpam-6698	45	9	f(z	f(z	PROPN
ejpam-6698	45	10	)	)	PUNCT
ejpam-6698	45	11	≺	≺	NOUN
ejpam-6698	45	12	1+ϑ2z2	1+ϑ2z2	NUM
ejpam-6698	45	13	1−ϑz−ϑ2z2	1−ϑz−ϑ2z2	NUM
ejpam-6698	45	14	}	}	PUNCT
ejpam-6698	45	15	,	,	PUNCT
ejpam-6698	45	16	where	where	SCONJ
ejpam-6698	45	17	ϑ	ϑ	X
ejpam-6698	45	18	=	=	SYM
ejpam-6698	45	19	1−	1−	NUM
ejpam-6698	45	20	√	√	NUM
ejpam-6698	45	21	5	5	NUM
ejpam-6698	45	22	2	2	NUM
ejpam-6698	45	23	[	[	X
ejpam-6698	45	24	5	5	NUM
ejpam-6698	45	25	]	]	PUNCT
ejpam-6698	45	26	sokól	sokól	NOUN
ejpam-6698	45	27	4	4	NUM
ejpam-6698	45	28	sk(ϑ	sk(ϑ	NUM
ejpam-6698	45	29	)	)	PUNCT
ejpam-6698	46	1	=	=	PRON
ejpam-6698	46	2	{	{	PUNCT
ejpam-6698	46	3	f	f	PROPN
ejpam-6698	46	4	∈	∈	PROPN
ejpam-6698	47	1	a	a	PRON
ejpam-6698	47	2	:	:	PUNCT
ejpam-6698	47	3	zf	zf	PROPN
ejpam-6698	47	4	′(z	′(z	NOUN
ejpam-6698	47	5	)	)	PUNCT
ejpam-6698	47	6	f(z	f(z	PROPN
ejpam-6698	47	7	)	)	PUNCT
ejpam-6698	47	8	≺	≺	NOUN
ejpam-6698	47	9	3	3	NUM
ejpam-6698	47	10	3+(ϑ−3)z−ϑ2z2	3+(ϑ−3)z−ϑ2z2	NUM
ejpam-6698	47	11	}	}	PUNCT
ejpam-6698	47	12	,	,	PUNCT
ejpam-6698	47	13	where	where	SCONJ
ejpam-6698	47	14	ϑ	ϑ	X
ejpam-6698	47	15	∈	∈	PROPN
ejpam-6698	47	16	(	(	PUNCT
ejpam-6698	47	17	−3	−3	PROPN
ejpam-6698	47	18	,	,	PUNCT
ejpam-6698	47	19	1	1	X
ejpam-6698	47	20	]	]	PUNCT
ejpam-6698	48	1	[	[	X
ejpam-6698	48	2	6	6	NUM
ejpam-6698	48	3	]	]	PUNCT
ejpam-6698	48	4	sokól	sokól	VERB
ejpam-6698	48	5	the	the	DET
ejpam-6698	48	6	class	class	NOUN
ejpam-6698	48	7	p	p	NOUN
ejpam-6698	48	8	forms	form	VERB
ejpam-6698	48	9	the	the	DET
ejpam-6698	48	10	cornerstone	cornerstone	NOUN
ejpam-6698	48	11	for	for	ADP
ejpam-6698	48	12	the	the	DET
ejpam-6698	48	13	development	development	NOUN
ejpam-6698	48	14	of	of	ADP
ejpam-6698	48	15	numerous	numerous	ADJ
ejpam-6698	48	16	significant	significant	ADJ
ejpam-6698	48	17	subclasses	subclass	NOUN
ejpam-6698	48	18	of	of	ADP
ejpam-6698	48	19	analytic	analytic	ADJ
ejpam-6698	48	20	functions	function	NOUN
ejpam-6698	48	21	,	,	PUNCT
ejpam-6698	48	22	making	make	VERB
ejpam-6698	48	23	it	it	PRON
ejpam-6698	48	24	a	a	DET
ejpam-6698	48	25	key	key	ADJ
ejpam-6698	48	26	object	object	NOUN
ejpam-6698	48	27	of	of	ADP
ejpam-6698	48	28	study	study	NOUN
ejpam-6698	48	29	in	in	ADP
ejpam-6698	48	30	complex	complex	ADJ
ejpam-6698	48	31	analysis	analysis	NOUN
ejpam-6698	48	32	.	.	PUNCT
ejpam-6698	49	1	for	for	ADP
ejpam-6698	49	2	any	any	DET
ejpam-6698	49	3	function	function	NOUN
ejpam-6698	49	4	f	f	PROPN
ejpam-6698	49	5	in	in	ADP
ejpam-6698	49	6	the	the	DET
ejpam-6698	49	7	subclass	subclass	NOUN
ejpam-6698	49	8	s	s	PART
ejpam-6698	49	9	⊂	⊂	PROPN
ejpam-6698	49	10	a	a	X
ejpam-6698	49	11	,	,	PUNCT
ejpam-6698	49	12	there	there	PRON
ejpam-6698	49	13	exists	exist	VERB
ejpam-6698	49	14	an	an	DET
ejpam-6698	49	15	inverse	inverse	NOUN
ejpam-6698	49	16	function	function	NOUN
ejpam-6698	49	17	,	,	PUNCT
ejpam-6698	49	18	denoted	denote	VERB
ejpam-6698	49	19	f−1	f−1	PROPN
ejpam-6698	49	20	,	,	PUNCT
ejpam-6698	49	21	which	which	PRON
ejpam-6698	49	22	is	be	AUX
ejpam-6698	49	23	defined	define	VERB
ejpam-6698	49	24	as	as	ADP
ejpam-6698	49	25	z	z	NOUN
ejpam-6698	49	26	=	=	SYM
ejpam-6698	49	27	f−1(f(z	f−1(f(z	X
ejpam-6698	49	28	)	)	PUNCT
ejpam-6698	49	29	)	)	PUNCT
ejpam-6698	49	30	and	and	CCONJ
ejpam-6698	49	31	ξ	ξ	X
ejpam-6698	49	32	=	=	SYM
ejpam-6698	49	33	f(f−1(ξ	f(f−1(ξ	PROPN
ejpam-6698	49	34	)	)	PUNCT
ejpam-6698	49	35	)	)	PUNCT
ejpam-6698	49	36	,	,	PUNCT
ejpam-6698	49	37	(	(	PUNCT
ejpam-6698	49	38	r0(f	r0(f	PROPN
ejpam-6698	49	39	)	)	PUNCT
ejpam-6698	49	40	≥	≥	NOUN
ejpam-6698	49	41	0.25	0.25	NUM
ejpam-6698	49	42	;	;	PUNCT
ejpam-6698	49	43	|ξ|	|ξ|	PROPN
ejpam-6698	49	44	<	<	X
ejpam-6698	49	45	r0(f	r0(f	PROPN
ejpam-6698	49	46	)	)	PUNCT
ejpam-6698	49	47	;	;	PUNCT
ejpam-6698	49	48	z	z	NOUN
ejpam-6698	49	49	∈	∈	PROPN
ejpam-6698	49	50	d	d	NOUN
ejpam-6698	49	51	)	)	PUNCT
ejpam-6698	49	52	.	.	PUNCT
ejpam-6698	50	1	(	(	PUNCT
ejpam-6698	50	2	4	4	X
ejpam-6698	50	3	)	)	PUNCT
ejpam-6698	50	4	where	where	SCONJ
ejpam-6698	50	5	χ(ξ	χ(ξ	NOUN
ejpam-6698	50	6	)	)	PUNCT
ejpam-6698	50	7	=	=	SYM
ejpam-6698	50	8	f−1(ξ	f−1(ξ	PROPN
ejpam-6698	50	9	)	)	PUNCT
ejpam-6698	50	10	=	=	SYM
ejpam-6698	51	1	ξ	ξ	X
ejpam-6698	51	2	−	−	NOUN
ejpam-6698	51	3	a2ξ	a2ξ	ADV
ejpam-6698	51	4	2	2	NUM
ejpam-6698	51	5	+	+	CCONJ
ejpam-6698	51	6	(	(	PUNCT
ejpam-6698	51	7	2a22	2a22	NUM
ejpam-6698	51	8	−	−	PROPN
ejpam-6698	51	9	a3	a3	NOUN
ejpam-6698	51	10	)	)	PUNCT
ejpam-6698	51	11	ξ3	ξ3	NOUN
ejpam-6698	51	12	−	−	PROPN
ejpam-6698	51	13	(	(	PUNCT
ejpam-6698	51	14	5a32	5a32	NUM
ejpam-6698	51	15	+	+	NUM
ejpam-6698	51	16	a4	a4	NOUN
ejpam-6698	51	17	−	−	PROPN
ejpam-6698	51	18	5a3a2	5a3a2	NUM
ejpam-6698	51	19	)	)	PUNCT
ejpam-6698	51	20	ξ4	ξ4	PROPN
ejpam-6698	51	21	+	+	X
ejpam-6698	51	22	·	·	PUNCT
ejpam-6698	51	23	·	·	PUNCT
ejpam-6698	51	24	·	·	PUNCT
ejpam-6698	51	25	.	.	PUNCT
ejpam-6698	52	1	(	(	PUNCT
ejpam-6698	52	2	5	5	X
ejpam-6698	52	3	)	)	PUNCT
ejpam-6698	52	4	function	function	NOUN
ejpam-6698	52	5	f	f	PROPN
ejpam-6698	52	6	∈	∈	PROPN
ejpam-6698	52	7	s	s	PART
ejpam-6698	52	8	is	be	AUX
ejpam-6698	52	9	said	say	VERB
ejpam-6698	52	10	to	to	PART
ejpam-6698	52	11	be	be	AUX
ejpam-6698	52	12	bi	bi	ADJ
ejpam-6698	52	13	-	-	ADJ
ejpam-6698	52	14	univalent	univalent	ADJ
ejpam-6698	52	15	if	if	SCONJ
ejpam-6698	52	16	its	its	PRON
ejpam-6698	52	17	inverse	inverse	NOUN
ejpam-6698	52	18	function	function	NOUN
ejpam-6698	52	19	f−1	f−1	PROPN
ejpam-6698	52	20	∈	∈	PROPN
ejpam-6698	52	21	s.	s.	PROPN
ejpam-6698	52	22	the	the	DET
ejpam-6698	52	23	subclass	subclass	NOUN
ejpam-6698	52	24	of	of	ADP
ejpam-6698	52	25	s	s	PRON
ejpam-6698	52	26	denoted	denote	VERB
ejpam-6698	52	27	by	by	ADP
ejpam-6698	52	28	σ	σ	PROPN
ejpam-6698	52	29	contains	contain	VERB
ejpam-6698	52	30	all	all	DET
ejpam-6698	52	31	bi	bi	ADJ
ejpam-6698	52	32	-	-	ADJ
ejpam-6698	52	33	univalent	univalent	ADJ
ejpam-6698	52	34	functions	function	NOUN
ejpam-6698	52	35	in	in	ADP
ejpam-6698	52	36	d.	d.	PROPN
ejpam-6698	52	37	a	a	DET
ejpam-6698	52	38	table	table	NOUN
ejpam-6698	52	39	illustrating	illustrate	VERB
ejpam-6698	52	40	certain	certain	ADJ
ejpam-6698	52	41	functions	function	NOUN
ejpam-6698	52	42	within	within	ADP
ejpam-6698	52	43	the	the	DET
ejpam-6698	52	44	class	class	NOUN
ejpam-6698	52	45	σ	σ	NOUN
ejpam-6698	52	46	and	and	CCONJ
ejpam-6698	52	47	their	their	PRON
ejpam-6698	52	48	inverse	inverse	NOUN
ejpam-6698	52	49	functions	function	NOUN
ejpam-6698	52	50	is	be	AUX
ejpam-6698	52	51	provided	provide	VERB
ejpam-6698	52	52	below	below	ADP
ejpam-6698	52	53	.	.	PUNCT
ejpam-6698	53	1	a.	a.	PROPN
ejpam-6698	53	2	alsoboh	alsoboh	PROPN
ejpam-6698	53	3	et	et	PROPN
ejpam-6698	53	4	al	al	PROPN
ejpam-6698	53	5	.	.	PUNCT
ejpam-6698	53	6	/	/	SYM
ejpam-6698	53	7	eur	eur	PROPN
ejpam-6698	53	8	.	.	PUNCT
ejpam-6698	54	1	j.	j.	PROPN
ejpam-6698	54	2	pure	pure	PROPN
ejpam-6698	54	3	appl	appl	PROPN
ejpam-6698	54	4	.	.	PROPN
ejpam-6698	54	5	math	math	PROPN
ejpam-6698	54	6	,	,	PUNCT
ejpam-6698	54	7	18	18	NUM
ejpam-6698	54	8	(	(	PUNCT
ejpam-6698	54	9	3	3	NUM
ejpam-6698	54	10	)	)	PUNCT
ejpam-6698	54	11	(	(	PUNCT
ejpam-6698	54	12	2025	2025	NUM
ejpam-6698	54	13	)	)	PUNCT
ejpam-6698	54	14	,	,	PUNCT
ejpam-6698	54	15	6698	6698	NUM
ejpam-6698	54	16	4	4	NUM
ejpam-6698	54	17	of	of	ADP
ejpam-6698	54	18	25	25	NUM
ejpam-6698	54	19	table	table	NOUN
ejpam-6698	54	20	2	2	NUM
ejpam-6698	54	21	:	:	PUNCT
ejpam-6698	54	22	representative	representative	ADJ
ejpam-6698	54	23	examples	example	NOUN
ejpam-6698	54	24	of	of	ADP
ejpam-6698	54	25	bi	bi	ADJ
ejpam-6698	54	26	-	-	ADJ
ejpam-6698	54	27	univalent	univalent	ADJ
ejpam-6698	54	28	functions	function	NOUN
ejpam-6698	54	29	along	along	ADP
ejpam-6698	54	30	with	with	ADP
ejpam-6698	54	31	their	their	PRON
ejpam-6698	54	32	corresponding	corresponding	ADJ
ejpam-6698	54	33	inverse	inverse	NOUN
ejpam-6698	54	34	functions	function	NOUN
ejpam-6698	54	35	.	.	PUNCT
ejpam-6698	55	1	f	f	X
ejpam-6698	55	2	f−1	f−1	PROPN
ejpam-6698	55	3	f1(z	f1(z	PROPN
ejpam-6698	55	4	)	)	PUNCT
ejpam-6698	55	5	=	=	SYM
ejpam-6698	56	1	z	z	NOUN
ejpam-6698	56	2	1	1	NUM
ejpam-6698	57	1	+	+	CCONJ
ejpam-6698	57	2	z	z	NOUN
ejpam-6698	57	3	f−1	f−1	PROPN
ejpam-6698	57	4	1	1	NUM
ejpam-6698	57	5	(	(	PUNCT
ejpam-6698	57	6	z	z	NOUN
ejpam-6698	57	7	)	)	PUNCT
ejpam-6698	57	8	=	=	PUNCT
ejpam-6698	58	1	z	z	NOUN
ejpam-6698	58	2	1	1	NUM
ejpam-6698	58	3	−	−	NOUN
ejpam-6698	58	4	z	z	NOUN
ejpam-6698	58	5	f2	f2	NOUN
ejpam-6698	58	6	=	=	SYM
ejpam-6698	59	1	−	−	NOUN
ejpam-6698	59	2	log(1	log(1	NOUN
ejpam-6698	59	3	−	−	PROPN
ejpam-6698	59	4	z	z	X
ejpam-6698	59	5	)	)	PUNCT
ejpam-6698	59	6	f−1	f−1	PROPN
ejpam-6698	59	7	1	1	NUM
ejpam-6698	59	8	(	(	PUNCT
ejpam-6698	59	9	z	z	NOUN
ejpam-6698	59	10	)	)	PUNCT
ejpam-6698	59	11	=	=	SYM
ejpam-6698	59	12	e2z	e2z	PROPN
ejpam-6698	59	13	−	−	NUM
ejpam-6698	59	14	1	1	NUM
ejpam-6698	59	15	e2z	e2z	NOUN
ejpam-6698	59	16	+	+	NOUN
ejpam-6698	59	17	1	1	NUM
ejpam-6698	59	18	f3	f3	NOUN
ejpam-6698	59	19	=	=	SYM
ejpam-6698	59	20	1	1	NUM
ejpam-6698	59	21	2	2	NUM
ejpam-6698	59	22	log	log	NOUN
ejpam-6698	59	23	(	(	PUNCT
ejpam-6698	59	24	1	1	NUM
ejpam-6698	59	25	+	+	CCONJ
ejpam-6698	59	26	z	z	NOUN
ejpam-6698	59	27	1	1	NUM
ejpam-6698	59	28	−	−	PROPN
ejpam-6698	59	29	z	z	NOUN
ejpam-6698	59	30	)	)	PUNCT
ejpam-6698	60	1	f−1	f−1	PROPN
ejpam-6698	60	2	1	1	NUM
ejpam-6698	60	3	(	(	PUNCT
ejpam-6698	60	4	z	z	NOUN
ejpam-6698	60	5	)	)	PUNCT
ejpam-6698	60	6	=	=	SYM
ejpam-6698	60	7	ez	ez	PROPN
ejpam-6698	60	8	−	−	PROPN
ejpam-6698	60	9	1	1	NUM
ejpam-6698	60	10	ez	ez	NOUN
ejpam-6698	60	11	in	in	ADP
ejpam-6698	60	12	contemporary	contemporary	PROPN
ejpam-6698	60	13	mathematical	mathematical	ADJ
ejpam-6698	60	14	and	and	CCONJ
ejpam-6698	60	15	physical	physical	ADJ
ejpam-6698	60	16	research	research	NOUN
ejpam-6698	60	17	,	,	PUNCT
ejpam-6698	60	18	the	the	DET
ejpam-6698	60	19	study	study	NOUN
ejpam-6698	60	20	of	of	ADP
ejpam-6698	60	21	quantum	quantum	NOUN
ejpam-6698	60	22	calculus	calculus	NOUN
ejpam-6698	60	23	—	—	PUNCT
ejpam-6698	60	24	commonly	commonly	ADV
ejpam-6698	60	25	referred	refer	VERB
ejpam-6698	60	26	to	to	ADP
ejpam-6698	60	27	as	as	ADP
ejpam-6698	60	28	q	q	NOUN
ejpam-6698	60	29	-	-	PUNCT
ejpam-6698	60	30	calculus	calculus	NOUN
ejpam-6698	60	31	—	—	PUNCT
ejpam-6698	60	32	has	have	AUX
ejpam-6698	60	33	emerged	emerge	VERB
ejpam-6698	60	34	as	as	ADP
ejpam-6698	60	35	a	a	DET
ejpam-6698	60	36	vibrant	vibrant	ADJ
ejpam-6698	60	37	and	and	CCONJ
ejpam-6698	60	38	impactful	impactful	ADJ
ejpam-6698	60	39	area	area	NOUN
ejpam-6698	60	40	of	of	ADP
ejpam-6698	60	41	inquiry	inquiry	NOUN
ejpam-6698	60	42	.	.	PUNCT
ejpam-6698	61	1	the	the	DET
ejpam-6698	61	2	foundational	foundational	ADJ
ejpam-6698	61	3	concepts	concept	NOUN
ejpam-6698	61	4	of	of	ADP
ejpam-6698	61	5	this	this	DET
ejpam-6698	61	6	theory	theory	NOUN
ejpam-6698	61	7	were	be	AUX
ejpam-6698	61	8	introduced	introduce	VERB
ejpam-6698	61	9	in	in	ADP
ejpam-6698	61	10	the	the	DET
ejpam-6698	61	11	late	late	ADJ
ejpam-6698	61	12	19th	19th	ADJ
ejpam-6698	61	13	century	century	NOUN
ejpam-6698	61	14	by	by	ADP
ejpam-6698	61	15	jackson	jackson	PROPN
ejpam-6698	62	1	[	[	X
ejpam-6698	62	2	7	7	NUM
ejpam-6698	62	3	,	,	PUNCT
ejpam-6698	62	4	8	8	NUM
ejpam-6698	62	5	]	]	PUNCT
ejpam-6698	62	6	,	,	PUNCT
ejpam-6698	62	7	who	who	PRON
ejpam-6698	62	8	formulated	formulate	VERB
ejpam-6698	62	9	the	the	DET
ejpam-6698	62	10	q	q	ADJ
ejpam-6698	62	11	-	-	PUNCT
ejpam-6698	62	12	difference	difference	NOUN
ejpam-6698	62	13	operator	operator	NOUN
ejpam-6698	62	14	along	along	ADP
ejpam-6698	62	15	with	with	ADP
ejpam-6698	62	16	its	its	PRON
ejpam-6698	62	17	integral	integral	ADJ
ejpam-6698	62	18	counterpart	counterpart	NOUN
ejpam-6698	62	19	.	.	PUNCT
ejpam-6698	63	1	these	these	DET
ejpam-6698	63	2	contributions	contribution	NOUN
ejpam-6698	63	3	laid	lay	VERB
ejpam-6698	63	4	the	the	DET
ejpam-6698	63	5	groundwork	groundwork	NOUN
ejpam-6698	63	6	for	for	ADP
ejpam-6698	63	7	a	a	DET
ejpam-6698	63	8	novel	novel	ADJ
ejpam-6698	63	9	approach	approach	NOUN
ejpam-6698	63	10	to	to	ADP
ejpam-6698	63	11	calculus	calculus	NOUN
ejpam-6698	63	12	,	,	PUNCT
ejpam-6698	63	13	one	one	NUM
ejpam-6698	63	14	that	that	PRON
ejpam-6698	63	15	does	do	AUX
ejpam-6698	63	16	not	not	PART
ejpam-6698	63	17	rely	rely	VERB
ejpam-6698	63	18	on	on	ADP
ejpam-6698	63	19	traditional	traditional	ADJ
ejpam-6698	63	20	notions	notion	NOUN
ejpam-6698	63	21	of	of	ADP
ejpam-6698	63	22	limits	limit	NOUN
ejpam-6698	63	23	.	.	PUNCT
ejpam-6698	64	1	expanding	expand	VERB
ejpam-6698	64	2	on	on	ADP
ejpam-6698	64	3	jackson	jackson	PROPN
ejpam-6698	64	4	’s	’s	PART
ejpam-6698	64	5	foundational	foundational	ADJ
ejpam-6698	64	6	work	work	NOUN
ejpam-6698	64	7	,	,	PUNCT
ejpam-6698	64	8	aral	aral	PROPN
ejpam-6698	64	9	and	and	CCONJ
ejpam-6698	64	10	gupta	gupta	PROPN
ejpam-6698	64	11	[	[	X
ejpam-6698	64	12	9	9	NUM
ejpam-6698	64	13	]	]	PUNCT
ejpam-6698	64	14	explored	explore	VERB
ejpam-6698	64	15	the	the	DET
ejpam-6698	64	16	q	q	NOUN
ejpam-6698	64	17	-	-	PUNCT
ejpam-6698	64	18	extensions	extension	NOUN
ejpam-6698	64	19	of	of	ADP
ejpam-6698	64	20	classical	classical	ADJ
ejpam-6698	64	21	mathematical	mathematical	ADJ
ejpam-6698	64	22	tools	tool	NOUN
ejpam-6698	64	23	and	and	CCONJ
ejpam-6698	64	24	operators	operator	NOUN
ejpam-6698	64	25	,	,	PUNCT
ejpam-6698	64	26	particularly	particularly	ADV
ejpam-6698	64	27	in	in	ADP
ejpam-6698	64	28	the	the	DET
ejpam-6698	64	29	realm	realm	NOUN
ejpam-6698	64	30	of	of	ADP
ejpam-6698	64	31	geometric	geometric	ADJ
ejpam-6698	64	32	function	function	NOUN
ejpam-6698	64	33	theory	theory	NOUN
ejpam-6698	64	34	.	.	PUNCT
ejpam-6698	65	1	the	the	DET
ejpam-6698	65	2	essence	essence	NOUN
ejpam-6698	65	3	of	of	ADP
ejpam-6698	65	4	q	q	NOUN
ejpam-6698	65	5	-	-	PUNCT
ejpam-6698	65	6	calculus	calculus	NOUN
ejpam-6698	65	7	lies	lie	VERB
ejpam-6698	65	8	in	in	ADP
ejpam-6698	65	9	its	its	PRON
ejpam-6698	65	10	ability	ability	NOUN
ejpam-6698	65	11	to	to	PART
ejpam-6698	65	12	generalize	generalize	VERB
ejpam-6698	65	13	conventional	conventional	ADJ
ejpam-6698	65	14	calculus	calculus	NOUN
ejpam-6698	65	15	through	through	ADP
ejpam-6698	65	16	the	the	DET
ejpam-6698	65	17	use	use	NOUN
ejpam-6698	65	18	of	of	ADP
ejpam-6698	65	19	q	q	NOUN
ejpam-6698	65	20	-	-	PUNCT
ejpam-6698	65	21	differences	difference	NOUN
ejpam-6698	65	22	,	,	PUNCT
ejpam-6698	65	23	offering	offer	VERB
ejpam-6698	65	24	a	a	DET
ejpam-6698	65	25	robust	robust	ADJ
ejpam-6698	65	26	analytical	analytical	ADJ
ejpam-6698	65	27	structure	structure	NOUN
ejpam-6698	65	28	for	for	ADP
ejpam-6698	65	29	examining	examine	VERB
ejpam-6698	65	30	complex	complex	ADJ
ejpam-6698	65	31	classes	class	NOUN
ejpam-6698	65	32	of	of	ADP
ejpam-6698	65	33	analytic	analytic	ADJ
ejpam-6698	65	34	functions	function	NOUN
ejpam-6698	65	35	.	.	PUNCT
ejpam-6698	66	1	it	it	PRON
ejpam-6698	66	2	has	have	AUX
ejpam-6698	66	3	proven	prove	VERB
ejpam-6698	66	4	especially	especially	ADV
ejpam-6698	66	5	effective	effective	ADJ
ejpam-6698	66	6	in	in	ADP
ejpam-6698	66	7	characterizing	characterize	VERB
ejpam-6698	66	8	and	and	CCONJ
ejpam-6698	66	9	analyzing	analyze	VERB
ejpam-6698	66	10	subclasses	subclass	NOUN
ejpam-6698	66	11	such	such	ADJ
ejpam-6698	66	12	as	as	ADP
ejpam-6698	66	13	starlike	starlike	NOUN
ejpam-6698	66	14	,	,	PUNCT
ejpam-6698	66	15	convex	convex	NOUN
ejpam-6698	66	16	,	,	PUNCT
ejpam-6698	66	17	and	and	CCONJ
ejpam-6698	66	18	bi	bi	ADJ
ejpam-6698	66	19	-	-	ADJ
ejpam-6698	66	20	univalent	univalent	ADJ
ejpam-6698	66	21	functions	function	NOUN
ejpam-6698	66	22	.	.	PUNCT
ejpam-6698	67	1	within	within	ADP
ejpam-6698	67	2	this	this	DET
ejpam-6698	67	3	framework	framework	NOUN
ejpam-6698	67	4	,	,	PUNCT
ejpam-6698	67	5	the	the	DET
ejpam-6698	67	6	deformation	deformation	NOUN
ejpam-6698	67	7	parameter	parameter	NOUN
ejpam-6698	67	8	q	q	NOUN
ejpam-6698	67	9	,	,	PUNCT
ejpam-6698	67	10	constrained	constrain	VERB
ejpam-6698	67	11	to	to	ADP
ejpam-6698	67	12	the	the	DET
ejpam-6698	67	13	interval	interval	NOUN
ejpam-6698	67	14	0	0	PUNCT
ejpam-6698	67	15	<	<	X
ejpam-6698	67	16	q	q	X
ejpam-6698	67	17	<	<	X
ejpam-6698	67	18	1	1	NUM
ejpam-6698	67	19	,	,	PUNCT
ejpam-6698	67	20	plays	play	VERB
ejpam-6698	67	21	a	a	DET
ejpam-6698	67	22	pivotal	pivotal	ADJ
ejpam-6698	67	23	role	role	NOUN
ejpam-6698	67	24	.	.	PUNCT
ejpam-6698	68	1	it	it	PRON
ejpam-6698	68	2	ensures	ensure	VERB
ejpam-6698	68	3	the	the	DET
ejpam-6698	68	4	convergence	convergence	NOUN
ejpam-6698	68	5	of	of	ADP
ejpam-6698	68	6	q	q	NOUN
ejpam-6698	68	7	-	-	PUNCT
ejpam-6698	68	8	series	series	NOUN
ejpam-6698	68	9	and	and	CCONJ
ejpam-6698	68	10	the	the	DET
ejpam-6698	68	11	preservation	preservation	NOUN
ejpam-6698	68	12	of	of	ADP
ejpam-6698	68	13	geometric	geometric	ADJ
ejpam-6698	68	14	and	and	CCONJ
ejpam-6698	68	15	analytic	analytic	ADJ
ejpam-6698	68	16	properties	property	NOUN
ejpam-6698	68	17	necessary	necessary	ADJ
ejpam-6698	68	18	for	for	ADP
ejpam-6698	68	19	the	the	DET
ejpam-6698	68	20	coherent	coherent	ADJ
ejpam-6698	68	21	definition	definition	NOUN
ejpam-6698	68	22	of	of	ADP
ejpam-6698	68	23	these	these	DET
ejpam-6698	68	24	subclasses	subclass	NOUN
ejpam-6698	68	25	.	.	PUNCT
ejpam-6698	69	1	the	the	DET
ejpam-6698	69	2	q	q	ADJ
ejpam-6698	69	3	-	-	ADJ
ejpam-6698	69	4	derivative	derivative	ADJ
ejpam-6698	69	5	operator	operator	NOUN
ejpam-6698	69	6	ðq	ðq	VERB
ejpam-6698	69	7	,	,	PUNCT
ejpam-6698	69	8	along	along	ADP
ejpam-6698	69	9	with	with	ADP
ejpam-6698	69	10	its	its	PRON
ejpam-6698	69	11	associated	associated	ADJ
ejpam-6698	69	12	constructs	construct	NOUN
ejpam-6698	69	13	like	like	ADP
ejpam-6698	69	14	q	q	NOUN
ejpam-6698	69	15	-	-	PUNCT
ejpam-6698	69	16	numbers	number	NOUN
ejpam-6698	69	17	and	and	CCONJ
ejpam-6698	69	18	q	q	NOUN
ejpam-6698	69	19	-	-	NOUN
ejpam-6698	69	20	factorials	factorial	NOUN
ejpam-6698	69	21	,	,	PUNCT
ejpam-6698	69	22	provides	provide	VERB
ejpam-6698	69	23	a	a	DET
ejpam-6698	69	24	natural	natural	ADJ
ejpam-6698	69	25	extension	extension	NOUN
ejpam-6698	69	26	of	of	ADP
ejpam-6698	69	27	classical	classical	ADJ
ejpam-6698	69	28	operators	operator	NOUN
ejpam-6698	69	29	.	.	PUNCT
ejpam-6698	70	1	this	this	PRON
ejpam-6698	70	2	facilitates	facilitate	VERB
ejpam-6698	70	3	refined	refined	ADJ
ejpam-6698	70	4	estimates	estimate	NOUN
ejpam-6698	70	5	of	of	ADP
ejpam-6698	70	6	coefficient	coefficient	NOUN
ejpam-6698	70	7	bounds	bound	NOUN
ejpam-6698	70	8	and	and	CCONJ
ejpam-6698	70	9	enables	enable	VERB
ejpam-6698	70	10	the	the	DET
ejpam-6698	70	11	derivation	derivation	NOUN
ejpam-6698	70	12	of	of	ADP
ejpam-6698	70	13	sharp	sharp	ADJ
ejpam-6698	70	14	inequalities	inequality	NOUN
ejpam-6698	70	15	within	within	ADP
ejpam-6698	70	16	q	q	ADJ
ejpam-6698	70	17	-	-	ADJ
ejpam-6698	70	18	analytic	analytic	ADJ
ejpam-6698	70	19	function	function	NOUN
ejpam-6698	70	20	theory	theory	NOUN
ejpam-6698	70	21	.	.	PUNCT
ejpam-6698	71	1	consequently	consequently	ADV
ejpam-6698	71	2	,	,	PUNCT
ejpam-6698	71	3	q	q	ADJ
ejpam-6698	71	4	-	-	PUNCT
ejpam-6698	71	5	calculus	calculus	NOUN
ejpam-6698	71	6	offers	offer	VERB
ejpam-6698	71	7	new	new	ADJ
ejpam-6698	71	8	perspectives	perspective	NOUN
ejpam-6698	71	9	and	and	CCONJ
ejpam-6698	71	10	methodologies	methodology	NOUN
ejpam-6698	71	11	for	for	ADP
ejpam-6698	71	12	advancing	advance	VERB
ejpam-6698	71	13	both	both	CCONJ
ejpam-6698	71	14	theoretical	theoretical	ADJ
ejpam-6698	71	15	investigations	investigation	NOUN
ejpam-6698	71	16	and	and	CCONJ
ejpam-6698	71	17	practical	practical	ADJ
ejpam-6698	71	18	applications	application	NOUN
ejpam-6698	71	19	in	in	ADP
ejpam-6698	71	20	complex	complex	ADJ
ejpam-6698	71	21	analysis	analysis	NOUN
ejpam-6698	71	22	.	.	PUNCT
ejpam-6698	72	1	definition	definition	NOUN
ejpam-6698	72	2	1	1	NUM
ejpam-6698	72	3	.	.	PUNCT
ejpam-6698	73	1	[	[	X
ejpam-6698	73	2	10	10	NUM
ejpam-6698	73	3	]	]	X
ejpam-6698	73	4	the	the	DET
ejpam-6698	73	5	q	q	ADJ
ejpam-6698	73	6	-	-	ADJ
ejpam-6698	73	7	bracket	bracket	ADJ
ejpam-6698	73	8	⌈κ⌋q	⌈κ⌋q	NOUN
ejpam-6698	73	9	is	be	AUX
ejpam-6698	73	10	defined	define	VERB
ejpam-6698	73	11	as	as	SCONJ
ejpam-6698	73	12	follows	follow	VERB
ejpam-6698	73	13	:	:	PUNCT
ejpam-6698	74	1	⌈κ⌋q	⌈κ⌋q	PROPN
ejpam-6698	74	2	=	=	PUNCT
ejpam-6698	74	3			PROPN
ejpam-6698	74	4	1−qκ	1−qκ	NUM
ejpam-6698	74	5	1−q	1−q	NUM
ejpam-6698	74	6	,	,	PUNCT
ejpam-6698	74	7	0	0	PUNCT
ejpam-6698	74	8	<	<	X
ejpam-6698	74	9	q	q	X
ejpam-6698	74	10	<	<	X
ejpam-6698	74	11	1	1	NUM
ejpam-6698	74	12	,	,	PUNCT
ejpam-6698	74	13	κ	κ	PROPN
ejpam-6698	74	14	∈	∈	PROPN
ejpam-6698	74	15	c∗	c∗	PROPN
ejpam-6698	74	16	=	=	PUNCT
ejpam-6698	74	17	c	c	NOUN
ejpam-6698	74	18	\	\	PROPN
ejpam-6698	74	19	{	{	PUNCT
ejpam-6698	74	20	0	0	NUM
ejpam-6698	74	21	}	}	SYM
ejpam-6698	74	22	1	1	NUM
ejpam-6698	74	23	,	,	PUNCT
ejpam-6698	74	24	q	q	PROPN
ejpam-6698	74	25	7→	7→	NUM
ejpam-6698	74	26	0	0	NUM
ejpam-6698	74	27	+	+	ADJ
ejpam-6698	74	28	,	,	PUNCT
ejpam-6698	74	29	κ	κ	PROPN
ejpam-6698	74	30	∈	∈	PROPN
ejpam-6698	74	31	c∗	c∗	PROPN
ejpam-6698	74	32	κ	κ	PROPN
ejpam-6698	74	33	,	,	PUNCT
ejpam-6698	74	34	q	q	PROPN
ejpam-6698	74	35	7→	7→	NUM
ejpam-6698	74	36	1−	1−	NUM
ejpam-6698	74	37	,	,	PUNCT
ejpam-6698	74	38	κ	κ	PROPN
ejpam-6698	74	39	∈	∈	PROPN
ejpam-6698	74	40	c∗	c∗	PROPN
ejpam-6698	74	41	qγ−1	qγ−1	PROPN
ejpam-6698	74	42	+	+	CCONJ
ejpam-6698	74	43	qγ−2	qγ−2	PROPN
ejpam-6698	74	44	+	+	PRON
ejpam-6698	74	45	·	·	PUNCT
ejpam-6698	74	46	·	·	PUNCT
ejpam-6698	74	47	·	·	PUNCT
ejpam-6698	75	1	+	+	PUNCT
ejpam-6698	75	2	q	q	PUNCT
ejpam-6698	76	1	+	+	NUM
ejpam-6698	76	2	1	1	NUM
ejpam-6698	76	3	=	=	SYM
ejpam-6698	76	4	γ−1∑	γ−1∑	ADP
ejpam-6698	76	5	n=0	n=0	PUNCT
ejpam-6698	76	6	qn	qn	NOUN
ejpam-6698	76	7	,	,	PUNCT
ejpam-6698	76	8	0	0	PUNCT
ejpam-6698	76	9	<	<	X
ejpam-6698	76	10	q	q	X
ejpam-6698	76	11	<	<	X
ejpam-6698	76	12	1	1	NUM
ejpam-6698	76	13	,	,	PUNCT
ejpam-6698	76	14	κ	κ	X
ejpam-6698	76	15	=	=	SYM
ejpam-6698	76	16	γ	γ	X
ejpam-6698	76	17	∈	∈	PROPN
ejpam-6698	76	18	n	n	CCONJ
ejpam-6698	76	19	,	,	PUNCT
ejpam-6698	76	20	with	with	ADP
ejpam-6698	76	21	the	the	DET
ejpam-6698	76	22	useful	useful	ADJ
ejpam-6698	76	23	identity	identity	NOUN
ejpam-6698	76	24	⌈κ+	⌈κ+	NOUN
ejpam-6698	76	25	1⌋q	1⌋q	NUM
ejpam-6698	76	26	=	=	PUNCT
ejpam-6698	77	1	⌈κ⌋q	⌈κ⌋q	PROPN
ejpam-6698	77	2	+	+	NOUN
ejpam-6698	77	3	qκ	qκ	X
ejpam-6698	77	4	.	.	PUNCT
ejpam-6698	77	5	a.	a.	PROPN
ejpam-6698	77	6	alsoboh	alsoboh	PROPN
ejpam-6698	77	7	et	et	PROPN
ejpam-6698	77	8	al	al	PROPN
ejpam-6698	77	9	.	.	PUNCT
ejpam-6698	77	10	/	/	SYM
ejpam-6698	77	11	eur	eur	PROPN
ejpam-6698	77	12	.	.	PUNCT
ejpam-6698	78	1	j.	j.	PROPN
ejpam-6698	78	2	pure	pure	PROPN
ejpam-6698	78	3	appl	appl	PROPN
ejpam-6698	78	4	.	.	PROPN
ejpam-6698	78	5	math	math	PROPN
ejpam-6698	78	6	,	,	PUNCT
ejpam-6698	78	7	18	18	NUM
ejpam-6698	78	8	(	(	PUNCT
ejpam-6698	78	9	3	3	NUM
ejpam-6698	78	10	)	)	PUNCT
ejpam-6698	78	11	(	(	PUNCT
ejpam-6698	78	12	2025	2025	NUM
ejpam-6698	78	13	)	)	PUNCT
ejpam-6698	78	14	,	,	PUNCT
ejpam-6698	78	15	6698	6698	NUM
ejpam-6698	78	16	5	5	NUM
ejpam-6698	78	17	of	of	ADP
ejpam-6698	78	18	25	25	NUM
ejpam-6698	78	19	definition	definition	NOUN
ejpam-6698	78	20	2	2	NUM
ejpam-6698	78	21	.	.	PUNCT
ejpam-6698	79	1	[	[	X
ejpam-6698	79	2	10	10	NUM
ejpam-6698	79	3	]	]	X
ejpam-6698	79	4	the	the	DET
ejpam-6698	79	5	q−derivative	q−derivative	ADJ
ejpam-6698	79	6	,	,	PUNCT
ejpam-6698	79	7	also	also	ADV
ejpam-6698	79	8	known	know	VERB
ejpam-6698	79	9	as	as	ADP
ejpam-6698	79	10	the	the	DET
ejpam-6698	79	11	q−difference	q−difference	NOUN
ejpam-6698	79	12	operator	operator	NOUN
ejpam-6698	79	13	,	,	PUNCT
ejpam-6698	79	14	of	of	ADP
ejpam-6698	79	15	a	a	DET
ejpam-6698	79	16	function	function	NOUN
ejpam-6698	79	17	f	f	PROPN
ejpam-6698	79	18	is	be	AUX
ejpam-6698	79	19	defined	define	VERB
ejpam-6698	79	20	by	by	ADP
ejpam-6698	79	21	ðq⟨f(z)⟩	ðq⟨f(z)⟩	NOUN
ejpam-6698	79	22	=	=	PUNCT
ejpam-6698	79	23			X
ejpam-6698	79	24	(	(	PUNCT
ejpam-6698	79	25	f(z	f(z	PROPN
ejpam-6698	79	26	)	)	PUNCT
ejpam-6698	79	27	−	−	PROPN
ejpam-6698	79	28	f(q	f(q	PROPN
ejpam-6698	79	29	z))(z	z))(z	PROPN
ejpam-6698	79	30	−	−	PROPN
ejpam-6698	79	31	q	q	PROPN
ejpam-6698	79	32	z)−1	z)−1	NUM
ejpam-6698	79	33	,	,	PUNCT
ejpam-6698	79	34	if	if	SCONJ
ejpam-6698	79	35	0	0	NUM
ejpam-6698	79	36	<	<	X
ejpam-6698	79	37	q	q	X
ejpam-6698	79	38	<	<	X
ejpam-6698	79	39	1	1	NUM
ejpam-6698	79	40	,	,	PUNCT
ejpam-6698	79	41	z	z	PROPN
ejpam-6698	79	42	̸=	̸=	PROPN
ejpam-6698	79	43	0	0	NUM
ejpam-6698	79	44	,	,	PUNCT
ejpam-6698	79	45	f	f	PROPN
ejpam-6698	79	46	′(0	′(0	NOUN
ejpam-6698	79	47	)	)	PUNCT
ejpam-6698	79	48	,	,	PUNCT
ejpam-6698	79	49	if	if	SCONJ
ejpam-6698	79	50	z	z	NOUN
ejpam-6698	79	51	=	=	SYM
ejpam-6698	79	52	0	0	NUM
ejpam-6698	79	53	,	,	PUNCT
ejpam-6698	79	54	f	f	PROPN
ejpam-6698	79	55	′(z	′(z	NOUN
ejpam-6698	79	56	)	)	PUNCT
ejpam-6698	79	57	,	,	PUNCT
ejpam-6698	79	58	if	if	SCONJ
ejpam-6698	79	59	q	q	PROPN
ejpam-6698	79	60	7→	7→	NUM
ejpam-6698	79	61	1−	1−	NUM
ejpam-6698	79	62	,	,	PUNCT
ejpam-6698	79	63	z	z	PROPN
ejpam-6698	79	64	̸=	̸=	PROPN
ejpam-6698	79	65	0	0	NUM
ejpam-6698	79	66	.	.	PUNCT
ejpam-6698	79	67	.	.	PUNCT
ejpam-6698	80	1	remark	remark	PROPN
ejpam-6698	80	2	1	1	NUM
ejpam-6698	80	3	.	.	PUNCT
ejpam-6698	81	1	for	for	ADP
ejpam-6698	81	2	f	f	PROPN
ejpam-6698	81	3	∈	∈	PROPN
ejpam-6698	81	4	a	a	PRON
ejpam-6698	81	5	of	of	ADP
ejpam-6698	81	6	the	the	DET
ejpam-6698	81	7	form	form	NOUN
ejpam-6698	81	8	(	(	PUNCT
ejpam-6698	81	9	1	1	NUM
ejpam-6698	81	10	)	)	PUNCT
ejpam-6698	81	11	,	,	PUNCT
ejpam-6698	81	12	it	it	PRON
ejpam-6698	81	13	is	be	AUX
ejpam-6698	81	14	straightforward	straightforward	ADJ
ejpam-6698	81	15	to	to	PART
ejpam-6698	81	16	verify	verify	VERB
ejpam-6698	81	17	that	that	PRON
ejpam-6698	81	18	ðq⟨f(z)⟩	ðq⟨f(z)⟩	NOUN
ejpam-6698	82	1	=	=	PUNCT
ejpam-6698	82	2	ðq	ðq	NUM
ejpam-6698	82	3	〈	〈	PROPN
ejpam-6698	82	4	z	z	NOUN
ejpam-6698	82	5	+	+	CCONJ
ejpam-6698	82	6	∞∑	∞∑	NUM
ejpam-6698	82	7	n=2	n=2	PRON
ejpam-6698	82	8	an	an	DET
ejpam-6698	82	9	z	z	NOUN
ejpam-6698	82	10	n	n	NOUN
ejpam-6698	82	11	〉	〉	NOUN
ejpam-6698	82	12	=	=	SYM
ejpam-6698	82	13	1	1	NUM
ejpam-6698	82	14	+	+	ADP
ejpam-6698	82	15	∞∑	∞∑	NUM
ejpam-6698	82	16	n=2	n=2	PRON
ejpam-6698	82	17	⌈n⌋qan	⌈n⌋qan	PROPN
ejpam-6698	82	18	zn−1	zn−1	PROPN
ejpam-6698	82	19	,	,	PUNCT
ejpam-6698	82	20	(	(	PUNCT
ejpam-6698	82	21	z	z	NOUN
ejpam-6698	82	22	∈	∈	PROPN
ejpam-6698	82	23	d	d	NOUN
ejpam-6698	82	24	)	)	PUNCT
ejpam-6698	82	25	,	,	PUNCT
ejpam-6698	82	26	and	and	CCONJ
ejpam-6698	82	27	for	for	ADP
ejpam-6698	82	28	the	the	DET
ejpam-6698	82	29	inverse	inverse	NOUN
ejpam-6698	82	30	function	function	NOUN
ejpam-6698	82	31	χ	χ	X
ejpam-6698	82	32	=	=	SYM
ejpam-6698	82	33	f−1	f−1	PROPN
ejpam-6698	82	34	of	of	ADP
ejpam-6698	82	35	the	the	DET
ejpam-6698	82	36	form	form	NOUN
ejpam-6698	82	37	(	(	PUNCT
ejpam-6698	82	38	4	4	NUM
ejpam-6698	82	39	)	)	PUNCT
ejpam-6698	82	40	,	,	PUNCT
ejpam-6698	82	41	we	we	PRON
ejpam-6698	82	42	have	have	VERB
ejpam-6698	83	1	ðq⟨χ(ξ)⟩	ðq⟨χ(ξ)⟩	NUM
ejpam-6698	83	2	=	=	SYM
ejpam-6698	83	3	ðq⟨f−1(ξ)⟩	ðq⟨f−1(ξ)⟩	PROPN
ejpam-6698	83	4	=	=	SYM
ejpam-6698	83	5	1−⌈2⌋qa2ξ+⌈3⌋q	1−⌈2⌋qa2ξ+⌈3⌋q	NUM
ejpam-6698	83	6	(	(	PUNCT
ejpam-6698	83	7	2a22	2a22	NUM
ejpam-6698	83	8	−	−	PROPN
ejpam-6698	83	9	a3	a3	NOUN
ejpam-6698	83	10	)	)	PUNCT
ejpam-6698	83	11	ξ2−⌈4⌋q	ξ2−⌈4⌋q	PROPN
ejpam-6698	83	12	(	(	PUNCT
ejpam-6698	83	13	5a32	5a32	NUM
ejpam-6698	83	14	+	+	NUM
ejpam-6698	83	15	a4	a4	NOUN
ejpam-6698	83	16	−	−	PROPN
ejpam-6698	83	17	5a3a2	5a3a2	NUM
ejpam-6698	83	18	)	)	PUNCT
ejpam-6698	83	19	ξ3	ξ3	NOUN
ejpam-6698	83	20	+	+	PROPN
ejpam-6698	83	21	·	·	PUNCT
ejpam-6698	83	22	·	·	PUNCT
ejpam-6698	83	23	·	·	PUNCT
ejpam-6698	83	24	.	.	PUNCT
ejpam-6698	84	1	in	in	ADP
ejpam-6698	84	2	a	a	DET
ejpam-6698	84	3	more	more	ADV
ejpam-6698	84	4	recent	recent	ADJ
ejpam-6698	84	5	advancement	advancement	NOUN
ejpam-6698	84	6	,	,	PUNCT
ejpam-6698	84	7	alsoboh	alsoboh	NOUN
ejpam-6698	84	8	et	et	PROPN
ejpam-6698	84	9	al	al	PROPN
ejpam-6698	84	10	.	.	PUNCT
ejpam-6698	85	1	[	[	X
ejpam-6698	85	2	11	11	NUM
ejpam-6698	85	3	]	]	PUNCT
ejpam-6698	85	4	introduced	introduce	VERB
ejpam-6698	85	5	a	a	DET
ejpam-6698	85	6	noteworthy	noteworthy	ADJ
ejpam-6698	85	7	class	class	NOUN
ejpam-6698	85	8	of	of	ADP
ejpam-6698	85	9	functions	function	NOUN
ejpam-6698	85	10	known	know	VERB
ejpam-6698	85	11	as	as	ADP
ejpam-6698	85	12	q	q	ADJ
ejpam-6698	85	13	-	-	PUNCT
ejpam-6698	85	14	starlike	starlike	NOUN
ejpam-6698	85	15	functions	function	NOUN
ejpam-6698	85	16	,	,	PUNCT
ejpam-6698	85	17	denoted	denote	VERB
ejpam-6698	85	18	by	by	ADP
ejpam-6698	85	19	slq	slq	PROPN
ejpam-6698	85	20	,	,	PUNCT
ejpam-6698	85	21	which	which	PRON
ejpam-6698	85	22	were	be	AUX
ejpam-6698	85	23	defined	define	VERB
ejpam-6698	85	24	using	use	VERB
ejpam-6698	85	25	the	the	DET
ejpam-6698	85	26	q	q	PROPN
ejpam-6698	85	27	-	-	PUNCT
ejpam-6698	85	28	jackson	jackson	PROPN
ejpam-6698	85	29	difference	difference	NOUN
ejpam-6698	85	30	operators	operator	NOUN
ejpam-6698	85	31	.	.	PUNCT
ejpam-6698	86	1	the	the	DET
ejpam-6698	86	2	formal	formal	ADJ
ejpam-6698	86	3	definition	definition	NOUN
ejpam-6698	86	4	of	of	ADP
ejpam-6698	86	5	this	this	DET
ejpam-6698	86	6	class	class	NOUN
ejpam-6698	86	7	is	be	AUX
ejpam-6698	86	8	given	give	VERB
ejpam-6698	86	9	by	by	ADP
ejpam-6698	86	10	slq	slq	NOUN
ejpam-6698	86	11	=	=	SYM
ejpam-6698	86	12	{	{	PUNCT
ejpam-6698	86	13	f	f	PROPN
ejpam-6698	86	14	∈	∈	PROPN
ejpam-6698	86	15	a	a	DET
ejpam-6698	86	16	:	:	PUNCT
ejpam-6698	86	17	z	z	PROPN
ejpam-6698	86	18	ðq⟨f(z)⟩	ðq⟨f(z)⟩	NUM
ejpam-6698	86	19	f(z	f(z	PROPN
ejpam-6698	86	20	)	)	PUNCT
ejpam-6698	86	21	≺	≺	NOUN
ejpam-6698	86	22	υ(z	υ(z	PROPN
ejpam-6698	86	23	;	;	PUNCT
ejpam-6698	86	24	q	q	X
ejpam-6698	86	25	)	)	PUNCT
ejpam-6698	86	26	,	,	PUNCT
ejpam-6698	86	27	z	z	NOUN
ejpam-6698	86	28	∈	∈	PROPN
ejpam-6698	87	1	d	d	X
ejpam-6698	87	2	}	}	PUNCT
ejpam-6698	87	3	,	,	PUNCT
ejpam-6698	87	4	(	(	PUNCT
ejpam-6698	87	5	6	6	NUM
ejpam-6698	87	6	)	)	PUNCT
ejpam-6698	87	7	where	where	SCONJ
ejpam-6698	87	8	the	the	DET
ejpam-6698	87	9	function	function	NOUN
ejpam-6698	87	10	υ(z	υ(z	PROPN
ejpam-6698	87	11	;	;	PUNCT
ejpam-6698	87	12	q	q	X
ejpam-6698	87	13	)	)	PUNCT
ejpam-6698	87	14	is	be	AUX
ejpam-6698	87	15	expressed	express	VERB
ejpam-6698	87	16	explicitly	explicitly	ADV
ejpam-6698	87	17	as	as	ADP
ejpam-6698	87	18	υ(z	υ(z	NOUN
ejpam-6698	87	19	;	;	PUNCT
ejpam-6698	87	20	q	q	X
ejpam-6698	87	21	)	)	PUNCT
ejpam-6698	87	22	=	=	SYM
ejpam-6698	87	23	1	1	NUM
ejpam-6698	88	1	+	+	CCONJ
ejpam-6698	88	2	qϑ2qz	qϑ2qz	NOUN
ejpam-6698	88	3	2	2	NUM
ejpam-6698	88	4	1	1	NUM
ejpam-6698	88	5	−	−	NOUN
ejpam-6698	88	6	ϑqz	ϑqz	NOUN
ejpam-6698	88	7	−	−	PROPN
ejpam-6698	88	8	qϑ2qz	qϑ2qz	NOUN
ejpam-6698	88	9	2	2	NUM
ejpam-6698	88	10	,	,	PUNCT
ejpam-6698	88	11	(	(	PUNCT
ejpam-6698	88	12	7	7	NUM
ejpam-6698	88	13	)	)	PUNCT
ejpam-6698	88	14	and	and	CCONJ
ejpam-6698	88	15	ϑq	ϑq	INTJ
ejpam-6698	88	16	=	=	SYM
ejpam-6698	88	17	1	1	NUM
ejpam-6698	88	18	−	−	NOUN
ejpam-6698	88	19	√	√	NUM
ejpam-6698	88	20	4q	4q	NOUN
ejpam-6698	88	21	+	+	CCONJ
ejpam-6698	88	22	1	1	NUM
ejpam-6698	88	23	2q	2q	NOUN
ejpam-6698	88	24	(	(	PUNCT
ejpam-6698	88	25	8)	8)	NUM
ejpam-6698	88	26	represents	represent	VERB
ejpam-6698	88	27	the	the	DET
ejpam-6698	88	28	q	q	NOUN
ejpam-6698	88	29	-	-	PUNCT
ejpam-6698	88	30	analog	analog	NOUN
ejpam-6698	88	31	of	of	ADP
ejpam-6698	88	32	the	the	DET
ejpam-6698	88	33	fibonacci	fibonacci	NOUN
ejpam-6698	88	34	numbers	number	NOUN
ejpam-6698	88	35	.	.	PUNCT
ejpam-6698	89	1	additionally	additionally	ADV
ejpam-6698	89	2	,	,	PUNCT
ejpam-6698	89	3	alsoboh	alsoboh	PROPN
ejpam-6698	89	4	et	et	PROPN
ejpam-6698	89	5	al	al	PROPN
ejpam-6698	89	6	.	.	PUNCT
ejpam-6698	90	1	[	[	X
ejpam-6698	90	2	11	11	NUM
ejpam-6698	90	3	]	]	PUNCT
ejpam-6698	90	4	established	establish	VERB
ejpam-6698	90	5	a	a	DET
ejpam-6698	90	6	significant	significant	ADJ
ejpam-6698	90	7	connection	connection	NOUN
ejpam-6698	90	8	between	between	ADP
ejpam-6698	90	9	these	these	DET
ejpam-6698	90	10	q	q	ADJ
ejpam-6698	90	11	-	-	PUNCT
ejpam-6698	90	12	fibonacci	fibonacci	NOUN
ejpam-6698	90	13	numbers	number	NOUN
ejpam-6698	90	14	,	,	PUNCT
ejpam-6698	90	15	denoted	denote	VERB
ejpam-6698	90	16	as	as	ADP
ejpam-6698	90	17	ϑq	ϑq	NOUN
ejpam-6698	90	18	,	,	PUNCT
ejpam-6698	90	19	and	and	CCONJ
ejpam-6698	90	20	the	the	DET
ejpam-6698	90	21	related	related	ADJ
ejpam-6698	90	22	fibonacci	fibonacci	NOUN
ejpam-6698	90	23	polynomials	polynomial	VERB
ejpam-6698	90	24	φn(q	φn(q	NOUN
ejpam-6698	90	25	)	)	PUNCT
ejpam-6698	90	26	.	.	PUNCT
ejpam-6698	91	1	specifically	specifically	ADV
ejpam-6698	91	2	,	,	PUNCT
ejpam-6698	91	3	they	they	PRON
ejpam-6698	91	4	demonstrated	demonstrate	VERB
ejpam-6698	91	5	that	that	SCONJ
ejpam-6698	91	6	if	if	SCONJ
ejpam-6698	91	7	υ(z	υ(z	NOUN
ejpam-6698	91	8	;	;	PUNCT
ejpam-6698	91	9	q	q	X
ejpam-6698	91	10	)	)	PUNCT
ejpam-6698	91	11	=	=	SYM
ejpam-6698	92	1	1	1	NUM
ejpam-6698	92	2	+	+	CCONJ
ejpam-6698	92	3	∞∑	∞∑	NUM
ejpam-6698	92	4	n=1	n=1	PROPN
ejpam-6698	92	5	pnz	pnz	NOUN
ejpam-6698	92	6	n	n	CCONJ
ejpam-6698	92	7	,	,	PUNCT
ejpam-6698	92	8	the	the	DET
ejpam-6698	92	9	coefficients	coefficient	NOUN
ejpam-6698	92	10	pn	pn	AUX
ejpam-6698	92	11	satisfy	satisfy	VERB
ejpam-6698	92	12	the	the	DET
ejpam-6698	92	13	following	follow	VERB
ejpam-6698	92	14	recurrence	recurrence	NOUN
ejpam-6698	92	15	relation	relation	NOUN
ejpam-6698	92	16	:	:	PUNCT
ejpam-6698	92	17	pn	pn	PROPN
ejpam-6698	92	18	=	=	PUNCT
ejpam-6698	92	19			PROPN
ejpam-6698	92	20	ϑq	ϑq	VERB
ejpam-6698	92	21	,	,	PUNCT
ejpam-6698	92	22	for	for	ADP
ejpam-6698	92	23	n	n	NOUN
ejpam-6698	92	24	=	=	SYM
ejpam-6698	92	25	1	1	NUM
ejpam-6698	92	26	,	,	PUNCT
ejpam-6698	92	27	(	(	PUNCT
ejpam-6698	92	28	2q	2q	NOUN
ejpam-6698	92	29	+	+	CCONJ
ejpam-6698	92	30	1)ϑ2q	1)ϑ2q	NUM
ejpam-6698	92	31	,	,	PUNCT
ejpam-6698	92	32	for	for	ADP
ejpam-6698	92	33	n	n	NOUN
ejpam-6698	92	34	=	=	SYM
ejpam-6698	92	35	2	2	NUM
ejpam-6698	92	36	,	,	PUNCT
ejpam-6698	92	37	(	(	PUNCT
ejpam-6698	92	38	3q	3q	NUM
ejpam-6698	92	39	+	+	NUM
ejpam-6698	92	40	1)ϑ3q	1)ϑ3q	NOUN
ejpam-6698	92	41	,	,	PUNCT
ejpam-6698	92	42	for	for	ADP
ejpam-6698	92	43	n	n	NOUN
ejpam-6698	92	44	=	=	SYM
ejpam-6698	92	45	3	3	NUM
ejpam-6698	92	46	,	,	PUNCT
ejpam-6698	92	47	(	(	PUNCT
ejpam-6698	92	48	φn+1(q	φn+1(q	ADJ
ejpam-6698	92	49	)	)	PUNCT
ejpam-6698	92	50	+	+	PUNCT
ejpam-6698	93	1	qφn−1(q))ϑ	qφn−1(q))ϑ	NOUN
ejpam-6698	93	2	n	n	PRON
ejpam-6698	93	3	q	q	NOUN
ejpam-6698	93	4	,	,	PUNCT
ejpam-6698	93	5	for	for	ADP
ejpam-6698	93	6	n	n	X
ejpam-6698	93	7	≥	≥	NOUN
ejpam-6698	93	8	4	4	NUM
ejpam-6698	93	9	.	.	PUNCT
ejpam-6698	93	10	(	(	PUNCT
ejpam-6698	93	11	9	9	X
ejpam-6698	93	12	)	)	PUNCT
ejpam-6698	93	13	a.	a.	NOUN
ejpam-6698	93	14	alsoboh	alsoboh	NOUN
ejpam-6698	93	15	et	et	PROPN
ejpam-6698	93	16	al	al	PROPN
ejpam-6698	93	17	.	.	PUNCT
ejpam-6698	93	18	/	/	SYM
ejpam-6698	93	19	eur	eur	PROPN
ejpam-6698	93	20	.	.	PUNCT
ejpam-6698	94	1	j.	j.	PROPN
ejpam-6698	94	2	pure	pure	PROPN
ejpam-6698	94	3	appl	appl	PROPN
ejpam-6698	94	4	.	.	PROPN
ejpam-6698	94	5	math	math	PROPN
ejpam-6698	94	6	,	,	PUNCT
ejpam-6698	94	7	18	18	NUM
ejpam-6698	94	8	(	(	PUNCT
ejpam-6698	94	9	3	3	NUM
ejpam-6698	94	10	)	)	PUNCT
ejpam-6698	94	11	(	(	PUNCT
ejpam-6698	94	12	2025	2025	NUM
ejpam-6698	94	13	)	)	PUNCT
ejpam-6698	94	14	,	,	PUNCT
ejpam-6698	94	15	6698	6698	NUM
ejpam-6698	94	16	6	6	NUM
ejpam-6698	94	17	of	of	ADP
ejpam-6698	94	18	25	25	NUM
ejpam-6698	94	19	here	here	ADV
ejpam-6698	94	20	,	,	PUNCT
ejpam-6698	94	21	the	the	DET
ejpam-6698	94	22	q	q	ADJ
ejpam-6698	94	23	-	-	PUNCT
ejpam-6698	94	24	fibonacci	fibonacci	NOUN
ejpam-6698	94	25	polynomials	polynomial	NOUN
ejpam-6698	94	26	φs(q	φs(q	NOUN
ejpam-6698	94	27	)	)	PUNCT
ejpam-6698	94	28	are	be	AUX
ejpam-6698	94	29	defined	define	VERB
ejpam-6698	94	30	as	as	ADP
ejpam-6698	94	31	φs(q	φs(q	NOUN
ejpam-6698	94	32	)	)	PUNCT
ejpam-6698	94	33	=	=	SYM
ejpam-6698	94	34	(	(	PUNCT
ejpam-6698	94	35	1	1	NUM
ejpam-6698	94	36	−	−	NOUN
ejpam-6698	94	37	qϑq	qϑq	NOUN
ejpam-6698	94	38	)	)	PUNCT
ejpam-6698	94	39	s	s	PART
ejpam-6698	94	40	−	−	PROPN
ejpam-6698	94	41	(	(	PUNCT
ejpam-6698	94	42	ϑq	ϑq	PROPN
ejpam-6698	94	43	)	)	PUNCT
ejpam-6698	94	44	s	s	PART
ejpam-6698	94	45	√	√	NOUN
ejpam-6698	94	46	4q	4q	NOUN
ejpam-6698	95	1	+	+	CCONJ
ejpam-6698	95	2	1	1	NUM
ejpam-6698	95	3	,	,	PUNCT
ejpam-6698	95	4	s	s	PROPN
ejpam-6698	95	5	∈	∈	PROPN
ejpam-6698	95	6	n.	n.	NOUN
ejpam-6698	95	7	(	(	PUNCT
ejpam-6698	95	8	10	10	NUM
ejpam-6698	95	9	)	)	PUNCT
ejpam-6698	95	10	this	this	DET
ejpam-6698	95	11	research	research	NOUN
ejpam-6698	95	12	presents	present	VERB
ejpam-6698	95	13	a	a	DET
ejpam-6698	95	14	thorough	thorough	ADJ
ejpam-6698	95	15	framework	framework	NOUN
ejpam-6698	95	16	for	for	ADP
ejpam-6698	95	17	examining	examine	VERB
ejpam-6698	95	18	the	the	DET
ejpam-6698	95	19	relationship	relationship	NOUN
ejpam-6698	95	20	between	between	ADP
ejpam-6698	95	21	the	the	DET
ejpam-6698	95	22	q	q	NOUN
ejpam-6698	95	23	-	-	PUNCT
ejpam-6698	95	24	modified	modify	VERB
ejpam-6698	95	25	fibonacci	fibonacci	NOUN
ejpam-6698	95	26	numbers	number	NOUN
ejpam-6698	95	27	and	and	CCONJ
ejpam-6698	95	28	their	their	PRON
ejpam-6698	95	29	corresponding	corresponding	ADJ
ejpam-6698	95	30	polynomial	polynomial	ADJ
ejpam-6698	95	31	representations	representation	NOUN
ejpam-6698	95	32	.	.	PUNCT
ejpam-6698	96	1	the	the	DET
ejpam-6698	96	2	initial	initial	ADJ
ejpam-6698	96	3	terms	term	NOUN
ejpam-6698	96	4	of	of	ADP
ejpam-6698	96	5	the	the	DET
ejpam-6698	96	6	q	q	ADJ
ejpam-6698	96	7	-	-	PUNCT
ejpam-6698	96	8	fibonacci	fibonacci	NOUN
ejpam-6698	96	9	sequence	sequence	NOUN
ejpam-6698	96	10	,	,	PUNCT
ejpam-6698	96	11	which	which	PRON
ejpam-6698	96	12	constitutes	constitute	VERB
ejpam-6698	96	13	a	a	DET
ejpam-6698	96	14	natural	natural	ADJ
ejpam-6698	96	15	generalization	generalization	NOUN
ejpam-6698	96	16	of	of	ADP
ejpam-6698	96	17	the	the	DET
ejpam-6698	96	18	classical	classical	ADJ
ejpam-6698	96	19	fibonacci	fibonacci	NOUN
ejpam-6698	96	20	numbers	number	NOUN
ejpam-6698	96	21	and	and	CCONJ
ejpam-6698	96	22	converges	converge	NOUN
ejpam-6698	96	23	to	to	ADP
ejpam-6698	96	24	them	they	PRON
ejpam-6698	96	25	as	as	ADP
ejpam-6698	96	26	q	q	PROPN
ejpam-6698	96	27	→	→	SYM
ejpam-6698	96	28	1−	1−	NUM
ejpam-6698	96	29	,	,	PUNCT
ejpam-6698	96	30	are	be	AUX
ejpam-6698	96	31	enumerated	enumerate	VERB
ejpam-6698	96	32	in	in	ADP
ejpam-6698	96	33	table	table	NOUN
ejpam-6698	96	34	3	3	NUM
ejpam-6698	96	35	.	.	PUNCT
ejpam-6698	96	36	table	table	NOUN
ejpam-6698	96	37	3	3	NUM
ejpam-6698	96	38	:	:	PUNCT
ejpam-6698	96	39	comparison	comparison	NOUN
ejpam-6698	96	40	of	of	ADP
ejpam-6698	96	41	the	the	DET
ejpam-6698	96	42	classical	classical	ADJ
ejpam-6698	96	43	fibonacci	fibonacci	NOUN
ejpam-6698	96	44	numbers	number	NOUN
ejpam-6698	96	45	with	with	ADP
ejpam-6698	96	46	their	their	PRON
ejpam-6698	96	47	corresponding	corresponding	ADJ
ejpam-6698	96	48	q	q	ADJ
ejpam-6698	96	49	-	-	PUNCT
ejpam-6698	96	50	analogue	analogue	NOUN
ejpam-6698	96	51	terms	term	NOUN
ejpam-6698	96	52	from	from	ADP
ejpam-6698	96	53	the	the	DET
ejpam-6698	96	54	q	q	ADJ
ejpam-6698	96	55	-	-	PUNCT
ejpam-6698	96	56	fibonacci	fibonacci	NOUN
ejpam-6698	96	57	sequence	sequence	NOUN
ejpam-6698	96	58	.	.	PUNCT
ejpam-6698	97	1	the	the	DET
ejpam-6698	97	2	classical	classical	ADJ
ejpam-6698	97	3	fibonacci	fibonacci	NOUN
ejpam-6698	97	4	numbers	number	VERB
ejpam-6698	97	5	the	the	DET
ejpam-6698	97	6	q	q	NOUN
ejpam-6698	97	7	-	-	PUNCT
ejpam-6698	97	8	analogue	analogue	NOUN
ejpam-6698	97	9	of	of	ADP
ejpam-6698	97	10	fibonacci	fibonacci	NOUN
ejpam-6698	97	11	numbers	number	NOUN
ejpam-6698	97	12	φ0	φ0	PROPN
ejpam-6698	97	13	=	=	NOUN
ejpam-6698	97	14	0	0	NUM
ejpam-6698	97	15	φ0(q	φ0(q	NOUN
ejpam-6698	97	16	)	)	PUNCT
ejpam-6698	97	17	=	=	SYM
ejpam-6698	98	1	0	0	NUM
ejpam-6698	98	2	φ1	φ1	NOUN
ejpam-6698	98	3	=	=	PUNCT
ejpam-6698	98	4	1	1	NUM
ejpam-6698	98	5	φ1(q	φ1(q	NUM
ejpam-6698	98	6	)	)	PUNCT
ejpam-6698	98	7	=	=	SYM
ejpam-6698	98	8	1	1	NUM
ejpam-6698	98	9	φ2	φ2	NOUN
ejpam-6698	98	10	=	=	NOUN
ejpam-6698	98	11	1	1	NUM
ejpam-6698	98	12	φ2(q	φ2(q	NOUN
ejpam-6698	98	13	)	)	PUNCT
ejpam-6698	98	14	=	=	SYM
ejpam-6698	98	15	1	1	NUM
ejpam-6698	98	16	φ3	φ3	NOUN
ejpam-6698	98	17	=	=	SYM
ejpam-6698	98	18	2	2	NUM
ejpam-6698	98	19	φ3(q	φ3(q	PROPN
ejpam-6698	98	20	)	)	PUNCT
ejpam-6698	98	21	=	=	SYM
ejpam-6698	98	22	1	1	NUM
ejpam-6698	98	23	+	+	CCONJ
ejpam-6698	98	24	q	q	NOUN
ejpam-6698	98	25	φ4	φ4	NOUN
ejpam-6698	98	26	=	=	SYM
ejpam-6698	98	27	3	3	NUM
ejpam-6698	98	28	φ4(q	φ4(q	NOUN
ejpam-6698	98	29	)	)	PUNCT
ejpam-6698	98	30	=	=	SYM
ejpam-6698	98	31	1	1	NUM
ejpam-6698	98	32	+	+	NUM
ejpam-6698	98	33	2q	2q	NUM
ejpam-6698	98	34	the	the	DET
ejpam-6698	98	35	function	function	NOUN
ejpam-6698	98	36	υ(z	υ(z	PROPN
ejpam-6698	98	37	;	;	PUNCT
ejpam-6698	98	38	q	q	X
ejpam-6698	98	39	)	)	PUNCT
ejpam-6698	98	40	,	,	PUNCT
ejpam-6698	98	41	defined	define	VERB
ejpam-6698	98	42	in	in	ADP
ejpam-6698	98	43	(	(	PUNCT
ejpam-6698	98	44	7	7	NUM
ejpam-6698	98	45	)	)	PUNCT
ejpam-6698	98	46	,	,	PUNCT
ejpam-6698	98	47	maps	map	VERB
ejpam-6698	98	48	the	the	DET
ejpam-6698	98	49	unit	unit	NOUN
ejpam-6698	98	50	circle	circle	NOUN
ejpam-6698	98	51	to	to	ADP
ejpam-6698	98	52	a	a	DET
ejpam-6698	98	53	curve	curve	NOUN
ejpam-6698	98	54	ωq	ωq	SCONJ
ejpam-6698	98	55	characterized	characterize	VERB
ejpam-6698	98	56	by	by	ADP
ejpam-6698	98	57	the	the	DET
ejpam-6698	98	58	parametric	parametric	ADJ
ejpam-6698	98	59	representation	representation	NOUN
ejpam-6698	98	60	κ	κ	X
ejpam-6698	98	61	=	=	NOUN
ejpam-6698	98	62	√	√	PROPN
ejpam-6698	98	63	4q	4q	NOUN
ejpam-6698	98	64	+	+	CCONJ
ejpam-6698	98	65	1	1	NUM
ejpam-6698	98	66	2(1	2(1	NUM
ejpam-6698	98	67	+	+	CCONJ
ejpam-6698	98	68	2q	2q	NUM
ejpam-6698	99	1	−	−	NUM
ejpam-6698	99	2	2q	2q	NUM
ejpam-6698	99	3	cosϕ	cosϕ	NOUN
ejpam-6698	99	4	)	)	PUNCT
ejpam-6698	99	5	,	,	PUNCT
ejpam-6698	99	6	y	y	PROPN
ejpam-6698	99	7	=	=	PRON
ejpam-6698	99	8	sinϕ	sinϕ	VERB
ejpam-6698	99	9	2(1+cosϕ)(4q	2(1+cosϕ)(4q	PROPN
ejpam-6698	99	10	cosϕ−	cosϕ−	ADJ
ejpam-6698	99	11	1	1	NUM
ejpam-6698	99	12	)	)	PUNCT
ejpam-6698	99	13	1	1	NUM
ejpam-6698	100	1	+	+	NUM
ejpam-6698	100	2	2q	2q	NUM
ejpam-6698	100	3	−	−	NUM
ejpam-6698	100	4	2q	2q	NOUN
ejpam-6698	100	5	cosϕ	cosϕ	NOUN
ejpam-6698	100	6	,	,	PUNCT
ejpam-6698	100	7	ϕ	ϕ	PROPN
ejpam-6698	100	8	∈	∈	PROPN
ejpam-6698	101	1	[	[	X
ejpam-6698	101	2	0	0	NUM
ejpam-6698	101	3	,	,	PUNCT
ejpam-6698	101	4	2π	2π	NOUN
ejpam-6698	101	5	)	)	PUNCT
ejpam-6698	101	6	\	\	NOUN
ejpam-6698	101	7	{	{	PUNCT
ejpam-6698	101	8	π	π	NOUN
ejpam-6698	101	9	}	}	PUNCT
ejpam-6698	101	10	.	.	PUNCT
ejpam-6698	102	1	(	(	PUNCT
ejpam-6698	102	2	11	11	NUM
ejpam-6698	102	3	)	)	PUNCT
ejpam-6698	102	4	notably	notably	ADV
ejpam-6698	102	5	,	,	PUNCT
ejpam-6698	102	6	υ(z	υ(z	PROPN
ejpam-6698	102	7	;	;	PUNCT
ejpam-6698	102	8	q	q	X
ejpam-6698	102	9	)	)	PUNCT
ejpam-6698	102	10	is	be	AUX
ejpam-6698	102	11	not	not	PART
ejpam-6698	102	12	injective	injective	ADJ
ejpam-6698	102	13	over	over	ADP
ejpam-6698	102	14	the	the	DET
ejpam-6698	102	15	unit	unit	NOUN
ejpam-6698	102	16	disk	disk	NOUN
ejpam-6698	102	17	d	d	NOUN
ejpam-6698	102	18	,	,	PUNCT
ejpam-6698	102	19	as	as	SCONJ
ejpam-6698	102	20	demonstrated	demonstrate	VERB
ejpam-6698	102	21	by	by	ADP
ejpam-6698	102	22	υ(0	υ(0	PROPN
ejpam-6698	102	23	;	;	PUNCT
ejpam-6698	102	24	q	q	X
ejpam-6698	102	25	)	)	PUNCT
ejpam-6698	103	1	=	=	SYM
ejpam-6698	103	2	υ	υ	NOUN
ejpam-6698	103	3	(	(	PUNCT
ejpam-6698	103	4	−	−	PROPN
ejpam-6698	103	5	1	1	NUM
ejpam-6698	103	6	2qϑq	2qϑq	NUM
ejpam-6698	103	7	;	;	PUNCT
ejpam-6698	103	8	q	q	X
ejpam-6698	103	9	)	)	PUNCT
ejpam-6698	103	10	=	=	SYM
ejpam-6698	103	11	1	1	X
ejpam-6698	103	12	.	.	PUNCT
ejpam-6698	104	1	this	this	DET
ejpam-6698	104	2	non	non	ADJ
ejpam-6698	104	3	-	-	ADJ
ejpam-6698	104	4	injectivity	injectivity	ADJ
ejpam-6698	104	5	results	result	NOUN
ejpam-6698	104	6	in	in	ADP
ejpam-6698	104	7	a	a	DET
ejpam-6698	104	8	shell	shell	NOUN
ejpam-6698	104	9	-	-	PUNCT
ejpam-6698	104	10	like	like	ADJ
ejpam-6698	104	11	structure	structure	NOUN
ejpam-6698	104	12	for	for	ADP
ejpam-6698	104	13	the	the	DET
ejpam-6698	104	14	image	image	NOUN
ejpam-6698	104	15	curve	curve	NOUN
ejpam-6698	104	16	ωq	ωq	PROPN
ejpam-6698	104	17	,	,	PUNCT
ejpam-6698	104	18	which	which	PRON
ejpam-6698	104	19	is	be	AUX
ejpam-6698	104	20	symmetric	symmetric	ADJ
ejpam-6698	104	21	with	with	ADP
ejpam-6698	104	22	respect	respect	NOUN
ejpam-6698	104	23	to	to	ADP
ejpam-6698	104	24	the	the	DET
ejpam-6698	104	25	real	real	ADJ
ejpam-6698	104	26	axis	axis	NOUN
ejpam-6698	104	27	,	,	PUNCT
ejpam-6698	104	28	as	as	SCONJ
ejpam-6698	104	29	illustrated	illustrate	VERB
ejpam-6698	104	30	in	in	ADP
ejpam-6698	104	31	fig	fig	NOUN
ejpam-6698	104	32	.	.	PUNCT
ejpam-6698	105	1	1	1	X
ejpam-6698	105	2	.	.	X
ejpam-6698	105	3	we	we	PRON
ejpam-6698	105	4	distinguish	distinguish	VERB
ejpam-6698	105	5	two	two	NUM
ejpam-6698	105	6	qualitative	qualitative	ADJ
ejpam-6698	105	7	behaviors	behavior	NOUN
ejpam-6698	105	8	of	of	ADP
ejpam-6698	105	9	the	the	DET
ejpam-6698	105	10	curve	curve	NOUN
ejpam-6698	105	11	ωq	ωq	ADP
ejpam-6698	105	12	depending	depend	VERB
ejpam-6698	105	13	on	on	ADP
ejpam-6698	105	14	the	the	DET
ejpam-6698	105	15	value	value	NOUN
ejpam-6698	105	16	of	of	ADP
ejpam-6698	105	17	the	the	DET
ejpam-6698	105	18	parameter	parameter	NOUN
ejpam-6698	105	19	q	q	NOUN
ejpam-6698	105	20	:	:	PUNCT
ejpam-6698	105	21	•	•	NUM
ejpam-6698	105	22	case	case	NOUN
ejpam-6698	106	1	i	i	PRON
ejpam-6698	106	2	:	:	PUNCT
ejpam-6698	106	3	q	q	PROPN
ejpam-6698	106	4	∈	∈	PROPN
ejpam-6698	106	5	(	(	PUNCT
ejpam-6698	106	6	0	0	NUM
ejpam-6698	106	7	,	,	PUNCT
ejpam-6698	106	8	14	14	NUM
ejpam-6698	106	9	)	)	PUNCT
ejpam-6698	106	10	in	in	ADP
ejpam-6698	106	11	this	this	DET
ejpam-6698	106	12	regime	regime	NOUN
ejpam-6698	106	13	,	,	PUNCT
ejpam-6698	106	14	the	the	DET
ejpam-6698	106	15	curve	curve	NOUN
ejpam-6698	106	16	ωq	ωq	NOUN
ejpam-6698	106	17	is	be	AUX
ejpam-6698	106	18	smooth	smooth	ADJ
ejpam-6698	106	19	and	and	CCONJ
ejpam-6698	106	20	resembles	resemble	VERB
ejpam-6698	106	21	a	a	DET
ejpam-6698	106	22	conchoid	conchoid	NOUN
ejpam-6698	106	23	without	without	ADP
ejpam-6698	106	24	any	any	DET
ejpam-6698	106	25	selfintersections	selfintersection	NOUN
ejpam-6698	106	26	.	.	PUNCT
ejpam-6698	107	1	the	the	DET
ejpam-6698	107	2	image	image	NOUN
ejpam-6698	107	3	under	under	ADP
ejpam-6698	107	4	υ	υ	PROPN
ejpam-6698	107	5	remains	remain	VERB
ejpam-6698	107	6	injective	injective	ADJ
ejpam-6698	107	7	on	on	ADP
ejpam-6698	107	8	the	the	DET
ejpam-6698	107	9	unit	unit	NOUN
ejpam-6698	107	10	circle	circle	NOUN
ejpam-6698	107	11	,	,	PUNCT
ejpam-6698	107	12	and	and	CCONJ
ejpam-6698	107	13	the	the	DET
ejpam-6698	107	14	curve	curve	NOUN
ejpam-6698	107	15	does	do	AUX
ejpam-6698	107	16	not	not	PART
ejpam-6698	107	17	loop	loop	VERB
ejpam-6698	107	18	back	back	ADV
ejpam-6698	107	19	on	on	ADP
ejpam-6698	107	20	itself	itself	PRON
ejpam-6698	107	21	.	.	PUNCT
ejpam-6698	108	1	a.	a.	PROPN
ejpam-6698	108	2	alsoboh	alsoboh	PROPN
ejpam-6698	108	3	et	et	PROPN
ejpam-6698	108	4	al	al	PROPN
ejpam-6698	108	5	.	.	PUNCT
ejpam-6698	108	6	/	/	SYM
ejpam-6698	108	7	eur	eur	PROPN
ejpam-6698	108	8	.	.	PUNCT
ejpam-6698	109	1	j.	j.	PROPN
ejpam-6698	109	2	pure	pure	PROPN
ejpam-6698	109	3	appl	appl	PROPN
ejpam-6698	109	4	.	.	PROPN
ejpam-6698	109	5	math	math	PROPN
ejpam-6698	109	6	,	,	PUNCT
ejpam-6698	109	7	18	18	NUM
ejpam-6698	109	8	(	(	PUNCT
ejpam-6698	109	9	3	3	NUM
ejpam-6698	109	10	)	)	PUNCT
ejpam-6698	109	11	(	(	PUNCT
ejpam-6698	109	12	2025	2025	NUM
ejpam-6698	109	13	)	)	PUNCT
ejpam-6698	109	14	,	,	PUNCT
ejpam-6698	109	15	6698	6698	NUM
ejpam-6698	109	16	7	7	NUM
ejpam-6698	109	17	of	of	ADP
ejpam-6698	109	18	25	25	NUM
ejpam-6698	109	19	•	•	NOUN
ejpam-6698	109	20	case	case	NOUN
ejpam-6698	109	21	ii	ii	NOUN
ejpam-6698	109	22	:	:	PUNCT
ejpam-6698	109	23	q	q	PROPN
ejpam-6698	109	24	∈	∈	PROPN
ejpam-6698	109	25	(	(	PUNCT
ejpam-6698	109	26	1	1	NUM
ejpam-6698	109	27	4	4	NUM
ejpam-6698	109	28	,	,	PUNCT
ejpam-6698	109	29	1	1	NUM
ejpam-6698	109	30	)	)	PUNCT
ejpam-6698	109	31	here	here	ADV
ejpam-6698	109	32	,	,	PUNCT
ejpam-6698	109	33	the	the	DET
ejpam-6698	109	34	curve	curve	NOUN
ejpam-6698	110	1	ωq	ωq	ADV
ejpam-6698	110	2	develops	develop	VERB
ejpam-6698	110	3	a	a	DET
ejpam-6698	110	4	self	self	NOUN
ejpam-6698	110	5	-	-	PUNCT
ejpam-6698	110	6	intersecting	intersecting	ADJ
ejpam-6698	110	7	loop	loop	NOUN
ejpam-6698	110	8	.	.	PUNCT
ejpam-6698	111	1	specifically	specifically	ADV
ejpam-6698	111	2	,	,	PUNCT
ejpam-6698	111	3	the	the	DET
ejpam-6698	111	4	relation	relation	NOUN
ejpam-6698	111	5	υ	υ	PROPN
ejpam-6698	111	6	(	(	PUNCT
ejpam-6698	111	7	e	e	X
ejpam-6698	111	8	±i	±i	PROPN
ejpam-6698	111	9	arccos	arcco	NOUN
ejpam-6698	111	10	(	(	PUNCT
ejpam-6698	111	11	1	1	NUM
ejpam-6698	111	12	4q	4q	NOUN
ejpam-6698	111	13	)	)	PUNCT
ejpam-6698	111	14	;	;	PUNCT
ejpam-6698	111	15	q	q	X
ejpam-6698	111	16	)	)	PUNCT
ejpam-6698	111	17	=	=	SYM
ejpam-6698	112	1	√	√	NUM
ejpam-6698	112	2	4q	4q	NOUN
ejpam-6698	112	3	+	+	CCONJ
ejpam-6698	112	4	1	1	NUM
ejpam-6698	112	5	4q	4q	NOUN
ejpam-6698	112	6	+	+	NOUN
ejpam-6698	112	7	1	1	NUM
ejpam-6698	112	8	implies	imply	VERB
ejpam-6698	112	9	that	that	SCONJ
ejpam-6698	112	10	ωq	ωq	NOUN
ejpam-6698	112	11	intersects	intersect	VERB
ejpam-6698	112	12	itself	itself	PRON
ejpam-6698	112	13	on	on	ADP
ejpam-6698	112	14	the	the	DET
ejpam-6698	112	15	real	real	ADJ
ejpam-6698	112	16	axis	axis	NOUN
ejpam-6698	112	17	at	at	ADP
ejpam-6698	112	18	e2	e2	PROPN
ejpam-6698	112	19	=	=	PUNCT
ejpam-6698	112	20	√	√	NUM
ejpam-6698	112	21	4q	4q	NOUN
ejpam-6698	112	22	+	+	CCONJ
ejpam-6698	112	23	1	1	NUM
ejpam-6698	112	24	4q	4q	NOUN
ejpam-6698	112	25	+	+	CCONJ
ejpam-6698	112	26	1	1	NUM
ejpam-6698	112	27	.	.	PUNCT
ejpam-6698	113	1	consequently	consequently	ADV
ejpam-6698	113	2	,	,	PUNCT
ejpam-6698	113	3	the	the	DET
ejpam-6698	113	4	curve	curve	NOUN
ejpam-6698	113	5	crosses	cross	VERB
ejpam-6698	113	6	the	the	DET
ejpam-6698	113	7	real	real	ADJ
ejpam-6698	113	8	axis	axis	NOUN
ejpam-6698	113	9	at	at	ADP
ejpam-6698	113	10	two	two	NUM
ejpam-6698	113	11	distinct	distinct	ADJ
ejpam-6698	113	12	points	point	NOUN
ejpam-6698	113	13	:	:	PUNCT
ejpam-6698	113	14	e1	e1	NOUN
ejpam-6698	113	15	=	=	SYM
ejpam-6698	114	1	√	√	NUM
ejpam-6698	114	2	4q	4q	NOUN
ejpam-6698	114	3	+	+	CCONJ
ejpam-6698	114	4	1	1	NUM
ejpam-6698	114	5	2	2	NUM
ejpam-6698	114	6	,	,	PUNCT
ejpam-6698	114	7	e2	e2	NOUN
ejpam-6698	114	8	=	=	PUNCT
ejpam-6698	115	1	√	√	NUM
ejpam-6698	115	2	4q	4q	NOUN
ejpam-6698	115	3	+	+	CCONJ
ejpam-6698	115	4	1	1	NUM
ejpam-6698	115	5	4q	4q	NOUN
ejpam-6698	115	6	+	+	NOUN
ejpam-6698	115	7	1	1	NUM
ejpam-6698	115	8	.	.	PUNCT
ejpam-6698	116	1	this	this	DET
ejpam-6698	116	2	results	result	VERB
ejpam-6698	116	3	in	in	ADP
ejpam-6698	116	4	a	a	DET
ejpam-6698	116	5	closed	closed	ADJ
ejpam-6698	116	6	loop	loop	NOUN
ejpam-6698	116	7	in	in	ADP
ejpam-6698	116	8	the	the	DET
ejpam-6698	116	9	geometry	geometry	NOUN
ejpam-6698	116	10	of	of	ADP
ejpam-6698	116	11	ωq	ωq	PROPN
ejpam-6698	116	12	.	.	PUNCT
ejpam-6698	117	1	figure	figure	NOUN
ejpam-6698	117	2	1	1	NUM
ejpam-6698	117	3	:	:	PUNCT
ejpam-6698	117	4	the	the	DET
ejpam-6698	117	5	curve	curve	NOUN
ejpam-6698	117	6	ωq	ωq	NOUN
ejpam-6698	117	7	for	for	ADP
ejpam-6698	117	8	various	various	ADJ
ejpam-6698	117	9	values	value	NOUN
ejpam-6698	117	10	of	of	ADP
ejpam-6698	117	11	q.	q.	PROPN
ejpam-6698	117	12	(	(	PUNCT
ejpam-6698	117	13	a	a	NOUN
ejpam-6698	117	14	)	)	PUNCT
ejpam-6698	117	15	q	q	NOUN
ejpam-6698	118	1	=	=	SYM
ejpam-6698	118	2	1	1	NUM
ejpam-6698	118	3	(	(	PUNCT
ejpam-6698	118	4	b	b	NOUN
ejpam-6698	118	5	)	)	PUNCT
ejpam-6698	118	6	q	q	NOUN
ejpam-6698	119	1	=	=	NOUN
ejpam-6698	119	2	0.84	0.84	NUM
ejpam-6698	119	3	(	(	PUNCT
ejpam-6698	119	4	c	c	NOUN
ejpam-6698	119	5	)	)	PUNCT
ejpam-6698	119	6	q	q	NOUN
ejpam-6698	119	7	=	=	SYM
ejpam-6698	119	8	0.5	0.5	NUM
ejpam-6698	119	9	(	(	PUNCT
ejpam-6698	119	10	d	d	NOUN
ejpam-6698	119	11	)	)	PUNCT
ejpam-6698	119	12	q	q	NOUN
ejpam-6698	120	1	=	=	PUNCT
ejpam-6698	120	2	0.3	0.3	NUM
ejpam-6698	120	3	(	(	PUNCT
ejpam-6698	120	4	e	e	NOUN
ejpam-6698	120	5	)	)	PUNCT
ejpam-6698	120	6	q	q	NOUN
ejpam-6698	121	1	=	=	NOUN
ejpam-6698	121	2	0.2	0.2	NUM
ejpam-6698	121	3	(	(	PUNCT
ejpam-6698	121	4	f	f	X
ejpam-6698	121	5	)	)	PUNCT
ejpam-6698	121	6	q	q	NOUN
ejpam-6698	121	7	=	=	NOUN
ejpam-6698	121	8	0.1	0.1	NUM
ejpam-6698	121	9	in	in	ADP
ejpam-6698	121	10	the	the	DET
ejpam-6698	121	11	following	follow	VERB
ejpam-6698	121	12	example	example	NOUN
ejpam-6698	121	13	,	,	PUNCT
ejpam-6698	121	14	we	we	PRON
ejpam-6698	121	15	explore	explore	VERB
ejpam-6698	121	16	the	the	DET
ejpam-6698	121	17	behavior	behavior	NOUN
ejpam-6698	121	18	of	of	ADP
ejpam-6698	121	19	the	the	DET
ejpam-6698	121	20	q	q	ADJ
ejpam-6698	121	21	-	-	PUNCT
ejpam-6698	121	22	starlike	starlike	NOUN
ejpam-6698	121	23	functions	function	NOUN
ejpam-6698	121	24	as	as	ADP
ejpam-6698	121	25	the	the	DET
ejpam-6698	121	26	parameter	parameter	NOUN
ejpam-6698	121	27	q	q	PROPN
ejpam-6698	121	28	approaches	approach	VERB
ejpam-6698	121	29	1	1	NUM
ejpam-6698	121	30	from	from	ADP
ejpam-6698	121	31	below	below	ADV
ejpam-6698	121	32	.	.	PUNCT
ejpam-6698	122	1	this	this	DET
ejpam-6698	122	2	transition	transition	NOUN
ejpam-6698	122	3	leads	lead	VERB
ejpam-6698	122	4	to	to	ADP
ejpam-6698	122	5	the	the	DET
ejpam-6698	122	6	classical	classical	ADJ
ejpam-6698	122	7	case	case	NOUN
ejpam-6698	122	8	of	of	ADP
ejpam-6698	122	9	a.	a.	NOUN
ejpam-6698	122	10	alsoboh	alsoboh	PROPN
ejpam-6698	122	11	et	et	PROPN
ejpam-6698	122	12	al	al	PROPN
ejpam-6698	122	13	.	.	PUNCT
ejpam-6698	122	14	/	/	SYM
ejpam-6698	122	15	eur	eur	PROPN
ejpam-6698	122	16	.	.	PUNCT
ejpam-6698	123	1	j.	j.	PROPN
ejpam-6698	123	2	pure	pure	PROPN
ejpam-6698	123	3	appl	appl	PROPN
ejpam-6698	123	4	.	.	PROPN
ejpam-6698	123	5	math	math	PROPN
ejpam-6698	123	6	,	,	PUNCT
ejpam-6698	123	7	18	18	NUM
ejpam-6698	123	8	(	(	PUNCT
ejpam-6698	123	9	3	3	NUM
ejpam-6698	123	10	)	)	PUNCT
ejpam-6698	123	11	(	(	PUNCT
ejpam-6698	123	12	2025	2025	NUM
ejpam-6698	123	13	)	)	PUNCT
ejpam-6698	123	14	,	,	PUNCT
ejpam-6698	123	15	6698	6698	NUM
ejpam-6698	123	16	8	8	NUM
ejpam-6698	123	17	of	of	ADP
ejpam-6698	123	18	25	25	NUM
ejpam-6698	123	19	starlike	starlike	NOUN
ejpam-6698	123	20	functions	function	NOUN
ejpam-6698	123	21	,	,	PUNCT
ejpam-6698	123	22	often	often	ADV
ejpam-6698	123	23	referred	refer	VERB
ejpam-6698	123	24	to	to	ADP
ejpam-6698	123	25	as	as	ADP
ejpam-6698	123	26	the	the	DET
ejpam-6698	123	27	class	class	NOUN
ejpam-6698	123	28	sl	sl	NOUN
ejpam-6698	123	29	.	.	PUNCT
ejpam-6698	123	30	by	by	ADP
ejpam-6698	123	31	taking	take	VERB
ejpam-6698	123	32	the	the	DET
ejpam-6698	123	33	limit	limit	NOUN
ejpam-6698	123	34	as	as	ADP
ejpam-6698	123	35	q	q	PROPN
ejpam-6698	123	36	→	→	SYM
ejpam-6698	123	37	1−	1−	NUM
ejpam-6698	123	38	,	,	PUNCT
ejpam-6698	123	39	we	we	PRON
ejpam-6698	123	40	observe	observe	VERB
ejpam-6698	123	41	how	how	SCONJ
ejpam-6698	123	42	the	the	DET
ejpam-6698	123	43	q	q	ADJ
ejpam-6698	123	44	-	-	PUNCT
ejpam-6698	123	45	starlike	starlike	NOUN
ejpam-6698	123	46	functions	function	NOUN
ejpam-6698	123	47	generalize	generalize	VERB
ejpam-6698	123	48	to	to	ADP
ejpam-6698	123	49	the	the	DET
ejpam-6698	123	50	traditional	traditional	ADJ
ejpam-6698	123	51	starlike	starlike	NOUN
ejpam-6698	123	52	functions	function	NOUN
ejpam-6698	123	53	,	,	PUNCT
ejpam-6698	123	54	and	and	CCONJ
ejpam-6698	123	55	the	the	DET
ejpam-6698	123	56	associated	associated	ADJ
ejpam-6698	123	57	function	function	NOUN
ejpam-6698	123	58	υ(z	υ(z	NOUN
ejpam-6698	123	59	)	)	PUNCT
ejpam-6698	123	60	simplifies	simplifie	NOUN
ejpam-6698	123	61	to	to	ADP
ejpam-6698	123	62	a	a	DET
ejpam-6698	123	63	form	form	NOUN
ejpam-6698	123	64	that	that	PRON
ejpam-6698	123	65	connects	connect	VERB
ejpam-6698	123	66	directly	directly	ADV
ejpam-6698	123	67	with	with	ADP
ejpam-6698	123	68	the	the	DET
ejpam-6698	123	69	classical	classical	ADJ
ejpam-6698	123	70	fibonacci	fibonacci	NOUN
ejpam-6698	123	71	numbers	number	NOUN
ejpam-6698	123	72	.	.	PUNCT
ejpam-6698	124	1	this	this	DET
ejpam-6698	124	2	example	example	NOUN
ejpam-6698	124	3	illustrates	illustrate	VERB
ejpam-6698	124	4	the	the	DET
ejpam-6698	124	5	connection	connection	NOUN
ejpam-6698	124	6	between	between	ADP
ejpam-6698	124	7	the	the	DET
ejpam-6698	124	8	qstarlike	qstarlike	ADJ
ejpam-6698	124	9	functions	function	NOUN
ejpam-6698	124	10	and	and	CCONJ
ejpam-6698	124	11	their	their	PRON
ejpam-6698	124	12	classical	classical	ADJ
ejpam-6698	124	13	counterparts	counterpart	NOUN
ejpam-6698	124	14	.	.	PUNCT
ejpam-6698	125	1	example	example	NOUN
ejpam-6698	126	1	1	1	NUM
ejpam-6698	126	2	.	.	PUNCT
ejpam-6698	126	3	to	to	PART
ejpam-6698	126	4	illustrate	illustrate	VERB
ejpam-6698	126	5	the	the	DET
ejpam-6698	126	6	asymptotic	asymptotic	ADJ
ejpam-6698	126	7	behavior	behavior	NOUN
ejpam-6698	126	8	of	of	ADP
ejpam-6698	126	9	the	the	DET
ejpam-6698	126	10	q	q	ADJ
ejpam-6698	126	11	-	-	PUNCT
ejpam-6698	126	12	starlike	starlike	NOUN
ejpam-6698	126	13	functions	function	NOUN
ejpam-6698	126	14	as	as	ADP
ejpam-6698	126	15	q	q	NOUN
ejpam-6698	126	16	→	→	SYM
ejpam-6698	126	17	1−	1−	NUM
ejpam-6698	126	18	,	,	PUNCT
ejpam-6698	126	19	we	we	PRON
ejpam-6698	126	20	examine	examine	VERB
ejpam-6698	126	21	the	the	DET
ejpam-6698	126	22	limiting	limit	VERB
ejpam-6698	126	23	case	case	NOUN
ejpam-6698	126	24	of	of	ADP
ejpam-6698	126	25	the	the	DET
ejpam-6698	126	26	class	class	NOUN
ejpam-6698	126	27	slq	slq	PROPN
ejpam-6698	126	28	.	.	PROPN
ejpam-6698	126	29	in	in	ADP
ejpam-6698	126	30	the	the	DET
ejpam-6698	126	31	limit	limit	NOUN
ejpam-6698	126	32	,	,	PUNCT
ejpam-6698	126	33	this	this	DET
ejpam-6698	126	34	class	class	NOUN
ejpam-6698	126	35	converges	converge	VERB
ejpam-6698	126	36	to	to	ADP
ejpam-6698	126	37	the	the	DET
ejpam-6698	126	38	classical	classical	ADJ
ejpam-6698	126	39	starlike	starlike	NOUN
ejpam-6698	126	40	function	function	NOUN
ejpam-6698	126	41	class	class	NOUN
ejpam-6698	126	42	associated	associate	VERB
ejpam-6698	126	43	with	with	ADP
ejpam-6698	126	44	the	the	DET
ejpam-6698	126	45	fibonacci	fibonacci	NOUN
ejpam-6698	126	46	generating	generating	NOUN
ejpam-6698	126	47	function	function	NOUN
ejpam-6698	126	48	,	,	PUNCT
ejpam-6698	126	49	namely	namely	ADV
ejpam-6698	126	50	sl	sl	PROPN
ejpam-6698	126	51	=	=	PUNCT
ejpam-6698	126	52	lim	lim	PROPN
ejpam-6698	126	53	q→1−	q→1−	PROPN
ejpam-6698	126	54	slq	slq	PROPN
ejpam-6698	127	1	=	=	PRON
ejpam-6698	127	2	{	{	PUNCT
ejpam-6698	127	3	f	f	PROPN
ejpam-6698	127	4	∈	∈	PROPN
ejpam-6698	127	5	a	a	DET
ejpam-6698	127	6	:	:	PUNCT
ejpam-6698	127	7	z	z	NOUN
ejpam-6698	127	8	f	f	NOUN
ejpam-6698	127	9	′(z	′(z	NOUN
ejpam-6698	127	10	)	)	PUNCT
ejpam-6698	127	11	f(z	f(z	PROPN
ejpam-6698	127	12	)	)	PUNCT
ejpam-6698	127	13	≺	≺	NOUN
ejpam-6698	127	14	υ(z	υ(z	NOUN
ejpam-6698	127	15	)	)	PUNCT
ejpam-6698	127	16	}	}	PUNCT
ejpam-6698	127	17	,	,	PUNCT
ejpam-6698	127	18	where	where	SCONJ
ejpam-6698	127	19	the	the	DET
ejpam-6698	127	20	function	function	NOUN
ejpam-6698	127	21	υ(z	υ(z	PROPN
ejpam-6698	127	22	)	)	PUNCT
ejpam-6698	127	23	is	be	AUX
ejpam-6698	127	24	given	give	VERB
ejpam-6698	127	25	by	by	ADP
ejpam-6698	127	26	υ(z	υ(z	NOUN
ejpam-6698	127	27	;	;	PUNCT
ejpam-6698	128	1	1	1	X
ejpam-6698	128	2	)	)	PUNCT
ejpam-6698	128	3	=	=	SYM
ejpam-6698	128	4	υ(z	υ(z	PROPN
ejpam-6698	128	5	)	)	PUNCT
ejpam-6698	128	6	=	=	SYM
ejpam-6698	128	7	1	1	NUM
ejpam-6698	128	8	+	+	CCONJ
ejpam-6698	128	9	ϑ2z2	ϑ2z2	X
ejpam-6698	128	10	1	1	NUM
ejpam-6698	128	11	−	−	NOUN
ejpam-6698	128	12	ϑz	ϑz	PRON
ejpam-6698	128	13	−	−	PROPN
ejpam-6698	128	14	ϑ2z2	ϑ2z2	X
ejpam-6698	128	15	,	,	PUNCT
ejpam-6698	128	16	(	(	PUNCT
ejpam-6698	128	17	12	12	NUM
ejpam-6698	128	18	)	)	PUNCT
ejpam-6698	128	19	and	and	CCONJ
ejpam-6698	128	20	ϑ	ϑ	X
ejpam-6698	128	21	=	=	SYM
ejpam-6698	128	22	1−	1−	NUM
ejpam-6698	128	23	√	√	NUM
ejpam-6698	128	24	5	5	NUM
ejpam-6698	128	25	2	2	NUM
ejpam-6698	128	26	denotes	denote	VERB
ejpam-6698	128	27	the	the	DET
ejpam-6698	128	28	classical	classical	ADJ
ejpam-6698	128	29	fibonacci	fibonacci	NOUN
ejpam-6698	128	30	constant	constant	ADJ
ejpam-6698	128	31	.	.	PUNCT
ejpam-6698	129	1	the	the	DET
ejpam-6698	129	2	development	development	NOUN
ejpam-6698	129	3	of	of	ADP
ejpam-6698	129	4	q	q	NOUN
ejpam-6698	129	5	-	-	PUNCT
ejpam-6698	129	6	calculus	calculus	NOUN
ejpam-6698	129	7	has	have	AUX
ejpam-6698	129	8	profoundly	profoundly	ADV
ejpam-6698	129	9	advanced	advance	VERB
ejpam-6698	129	10	the	the	DET
ejpam-6698	129	11	field	field	NOUN
ejpam-6698	129	12	of	of	ADP
ejpam-6698	129	13	analytic	analytic	ADJ
ejpam-6698	129	14	function	function	NOUN
ejpam-6698	129	15	theory	theory	NOUN
ejpam-6698	129	16	by	by	ADP
ejpam-6698	129	17	facilitating	facilitate	VERB
ejpam-6698	129	18	the	the	DET
ejpam-6698	129	19	construction	construction	NOUN
ejpam-6698	129	20	and	and	CCONJ
ejpam-6698	129	21	investigation	investigation	NOUN
ejpam-6698	129	22	of	of	ADP
ejpam-6698	129	23	new	new	ADJ
ejpam-6698	129	24	subclasses	subclass	NOUN
ejpam-6698	129	25	characterized	characterize	VERB
ejpam-6698	129	26	by	by	ADP
ejpam-6698	129	27	rich	rich	ADJ
ejpam-6698	129	28	geometric	geometric	ADJ
ejpam-6698	129	29	structures	structure	NOUN
ejpam-6698	129	30	and	and	CCONJ
ejpam-6698	129	31	intricate	intricate	ADJ
ejpam-6698	129	32	algebraic	algebraic	ADJ
ejpam-6698	129	33	behavior	behavior	NOUN
ejpam-6698	129	34	.	.	PUNCT
ejpam-6698	130	1	this	this	DET
ejpam-6698	130	2	analytical	analytical	ADJ
ejpam-6698	130	3	framework	framework	NOUN
ejpam-6698	130	4	highlights	highlight	VERB
ejpam-6698	130	5	the	the	DET
ejpam-6698	130	6	intrinsic	intrinsic	ADJ
ejpam-6698	130	7	adaptability	adaptability	NOUN
ejpam-6698	130	8	of	of	ADP
ejpam-6698	130	9	q	q	NOUN
ejpam-6698	130	10	-	-	NOUN
ejpam-6698	130	11	calculus	calculus	NOUN
ejpam-6698	130	12	in	in	ADP
ejpam-6698	130	13	generalizing	generalize	VERB
ejpam-6698	130	14	classical	classical	ADJ
ejpam-6698	130	15	results	result	NOUN
ejpam-6698	130	16	and	and	CCONJ
ejpam-6698	130	17	revealing	reveal	VERB
ejpam-6698	130	18	previously	previously	ADV
ejpam-6698	130	19	unexplored	unexplored	ADJ
ejpam-6698	130	20	mathematical	mathematical	ADJ
ejpam-6698	130	21	phenomena	phenomenon	NOUN
ejpam-6698	130	22	.	.	PUNCT
ejpam-6698	131	1	its	its	PRON
ejpam-6698	131	2	influence	influence	NOUN
ejpam-6698	131	3	extends	extend	VERB
ejpam-6698	131	4	beyond	beyond	ADP
ejpam-6698	131	5	mere	mere	ADJ
ejpam-6698	131	6	theoretical	theoretical	ADJ
ejpam-6698	131	7	curiosity	curiosity	NOUN
ejpam-6698	131	8	,	,	PUNCT
ejpam-6698	131	9	providing	provide	VERB
ejpam-6698	131	10	a	a	DET
ejpam-6698	131	11	unified	unified	ADJ
ejpam-6698	131	12	platform	platform	NOUN
ejpam-6698	131	13	for	for	ADP
ejpam-6698	131	14	significant	significant	ADJ
ejpam-6698	131	15	insights	insight	NOUN
ejpam-6698	131	16	and	and	CCONJ
ejpam-6698	131	17	promising	promising	ADJ
ejpam-6698	131	18	applications	application	NOUN
ejpam-6698	131	19	in	in	ADP
ejpam-6698	131	20	diverse	diverse	ADJ
ejpam-6698	131	21	areas	area	NOUN
ejpam-6698	131	22	of	of	ADP
ejpam-6698	131	23	mathematical	mathematical	ADJ
ejpam-6698	131	24	analysis	analysis	NOUN
ejpam-6698	131	25	.	.	PUNCT
ejpam-6698	132	1	as	as	SCONJ
ejpam-6698	132	2	such	such	ADJ
ejpam-6698	132	3	,	,	PUNCT
ejpam-6698	132	4	q	q	ADJ
ejpam-6698	132	5	-	-	PUNCT
ejpam-6698	132	6	calculus	calculus	NOUN
ejpam-6698	132	7	serves	serve	VERB
ejpam-6698	132	8	as	as	ADP
ejpam-6698	132	9	a	a	DET
ejpam-6698	132	10	powerful	powerful	ADJ
ejpam-6698	132	11	bridge	bridge	NOUN
ejpam-6698	132	12	between	between	ADP
ejpam-6698	132	13	traditional	traditional	ADJ
ejpam-6698	132	14	methodologies	methodology	NOUN
ejpam-6698	132	15	and	and	CCONJ
ejpam-6698	132	16	contemporary	contemporary	ADJ
ejpam-6698	132	17	innovations	innovation	NOUN
ejpam-6698	132	18	,	,	PUNCT
ejpam-6698	132	19	laying	lay	VERB
ejpam-6698	132	20	a	a	DET
ejpam-6698	132	21	solid	solid	ADJ
ejpam-6698	132	22	groundwork	groundwork	NOUN
ejpam-6698	132	23	for	for	ADP
ejpam-6698	132	24	sustained	sustained	ADJ
ejpam-6698	132	25	research	research	NOUN
ejpam-6698	132	26	and	and	CCONJ
ejpam-6698	132	27	future	future	ADJ
ejpam-6698	132	28	breakthroughs	breakthrough	NOUN
ejpam-6698	132	29	in	in	ADP
ejpam-6698	132	30	the	the	DET
ejpam-6698	132	31	discipline	discipline	NOUN
ejpam-6698	132	32	[	[	X
ejpam-6698	132	33	12–30	12–30	NUM
ejpam-6698	132	34	]	]	PUNCT
ejpam-6698	132	35	.	.	PUNCT
ejpam-6698	133	1	1	1	X
ejpam-6698	133	2	.	.	X
ejpam-6698	133	3	definition	definition	NOUN
ejpam-6698	133	4	and	and	CCONJ
ejpam-6698	133	5	example	example	NOUN
ejpam-6698	133	6	motivated	motivate	VERB
ejpam-6698	133	7	by	by	ADP
ejpam-6698	133	8	q	q	ADJ
ejpam-6698	133	9	-	-	PUNCT
ejpam-6698	133	10	fibonacci	fibonacci	NOUN
ejpam-6698	133	11	numbers	number	NOUN
ejpam-6698	133	12	,	,	PUNCT
ejpam-6698	133	13	this	this	DET
ejpam-6698	133	14	section	section	NOUN
ejpam-6698	133	15	will	will	AUX
ejpam-6698	133	16	now	now	ADV
ejpam-6698	133	17	look	look	VERB
ejpam-6698	133	18	at	at	ADP
ejpam-6698	133	19	a	a	DET
ejpam-6698	133	20	novel	novel	ADJ
ejpam-6698	133	21	subclass	subclass	NOUN
ejpam-6698	133	22	of	of	ADP
ejpam-6698	133	23	bi	bi	ADJ
ejpam-6698	133	24	-	-	ADJ
ejpam-6698	133	25	univalent	univalent	ADJ
ejpam-6698	133	26	functions	function	NOUN
ejpam-6698	133	27	related	relate	VERB
ejpam-6698	133	28	to	to	ADP
ejpam-6698	133	29	shell	shell	NOUN
ejpam-6698	133	30	-	-	PUNCT
ejpam-6698	133	31	like	like	ADJ
ejpam-6698	133	32	curves	curve	NOUN
ejpam-6698	133	33	.	.	PUNCT
ejpam-6698	134	1	definition	definition	NOUN
ejpam-6698	134	2	3	3	NUM
ejpam-6698	134	3	.	.	PUNCT
ejpam-6698	135	1	a	a	DET
ejpam-6698	135	2	bi	bi	ADJ
ejpam-6698	135	3	-	-	ADJ
ejpam-6698	135	4	univalent	univalent	ADJ
ejpam-6698	135	5	function	function	NOUN
ejpam-6698	135	6	f	f	PROPN
ejpam-6698	135	7	of	of	ADP
ejpam-6698	135	8	the	the	DET
ejpam-6698	135	9	form	form	NOUN
ejpam-6698	135	10	(	(	PUNCT
ejpam-6698	135	11	1	1	X
ejpam-6698	135	12	)	)	PUNCT
ejpam-6698	135	13	belongs	belong	VERB
ejpam-6698	135	14	to	to	ADP
ejpam-6698	135	15	the	the	DET
ejpam-6698	135	16	class	class	NOUN
ejpam-6698	135	17	bς(µ	bς(µ	NUM
ejpam-6698	135	18	;	;	PUNCT
ejpam-6698	135	19	q	q	X
ejpam-6698	135	20	)	)	PUNCT
ejpam-6698	135	21	if	if	SCONJ
ejpam-6698	135	22	and	and	CCONJ
ejpam-6698	135	23	only	only	ADV
ejpam-6698	135	24	if	if	SCONJ
ejpam-6698	135	25	z1−µ	z1−µ	PROPN
ejpam-6698	135	26	ðq⟨f(z)⟩	ðq⟨f(z)⟩	PROPN
ejpam-6698	135	27	(	(	PUNCT
ejpam-6698	135	28	f(z	f(z	PROPN
ejpam-6698	135	29	)	)	PUNCT
ejpam-6698	135	30	)	)	PUNCT
ejpam-6698	135	31	1−µ	1−µ	NOUN
ejpam-6698	135	32	≺	≺	NOUN
ejpam-6698	135	33	υ(z	υ(z	NOUN
ejpam-6698	135	34	;	;	PUNCT
ejpam-6698	135	35	q	q	X
ejpam-6698	135	36	)	)	PUNCT
ejpam-6698	135	37	=	=	SYM
ejpam-6698	135	38	1	1	NUM
ejpam-6698	135	39	+	+	CCONJ
ejpam-6698	135	40	qϑ2qz	qϑ2qz	NOUN
ejpam-6698	135	41	2	2	NUM
ejpam-6698	135	42	1	1	NUM
ejpam-6698	135	43	−	−	NOUN
ejpam-6698	135	44	ϑq	ϑq	INTJ
ejpam-6698	135	45	z	z	NOUN
ejpam-6698	135	46	−	−	PROPN
ejpam-6698	135	47	qϑ2qz	qϑ2qz	NOUN
ejpam-6698	135	48	2	2	NUM
ejpam-6698	135	49	,	,	PUNCT
ejpam-6698	135	50	(	(	PUNCT
ejpam-6698	135	51	13	13	NUM
ejpam-6698	135	52	)	)	PUNCT
ejpam-6698	135	53	and	and	CCONJ
ejpam-6698	135	54	ξ1−µ	ξ1−µ	PROPN
ejpam-6698	135	55	ðq⟨χ(ξ)⟩	ðq⟨χ(ξ)⟩	PROPN
ejpam-6698	135	56	(	(	PUNCT
ejpam-6698	135	57	χ(ξ	χ(ξ	NOUN
ejpam-6698	135	58	)	)	PUNCT
ejpam-6698	135	59	)	)	PUNCT
ejpam-6698	135	60	1−µ	1−µ	NOUN
ejpam-6698	135	61	≺	≺	NOUN
ejpam-6698	135	62	υ(ξ	υ(ξ	PUNCT
ejpam-6698	135	63	;	;	PUNCT
ejpam-6698	135	64	q	q	X
ejpam-6698	135	65	)	)	PUNCT
ejpam-6698	135	66	=	=	SYM
ejpam-6698	135	67	1	1	NUM
ejpam-6698	135	68	+	+	CCONJ
ejpam-6698	135	69	qϑ2qξ	qϑ2qξ	VERB
ejpam-6698	135	70	2	2	NUM
ejpam-6698	135	71	1	1	NUM
ejpam-6698	135	72	−	−	NOUN
ejpam-6698	135	73	ϑq	ϑq	ADP
ejpam-6698	135	74	ξ	ξ	PRON
ejpam-6698	135	75	−	−	PROPN
ejpam-6698	135	76	qϑ2qξ	qϑ2qξ	VERB
ejpam-6698	135	77	2	2	NUM
ejpam-6698	135	78	,	,	PUNCT
ejpam-6698	135	79	(	(	PUNCT
ejpam-6698	135	80	14	14	NUM
ejpam-6698	135	81	)	)	PUNCT
ejpam-6698	135	82	where	where	SCONJ
ejpam-6698	135	83	µ	µ	X
ejpam-6698	135	84	∈	∈	PROPN
ejpam-6698	135	85	r+	r+	NOUN
ejpam-6698	135	86	∪	∪	X
ejpam-6698	135	87	{	{	PUNCT
ejpam-6698	135	88	0	0	NUM
ejpam-6698	135	89	}	}	PUNCT
ejpam-6698	135	90	,	,	PUNCT
ejpam-6698	135	91	χ	χ	X
ejpam-6698	135	92	=	=	SYM
ejpam-6698	135	93	f−1	f−1	PROPN
ejpam-6698	135	94	given	give	VERB
ejpam-6698	135	95	by	by	ADP
ejpam-6698	135	96	(	(	PUNCT
ejpam-6698	135	97	5	5	NUM
ejpam-6698	135	98	)	)	PUNCT
ejpam-6698	135	99	,	,	PUNCT
ejpam-6698	135	100	ϑq	ϑq	X
ejpam-6698	135	101	is	be	AUX
ejpam-6698	135	102	given	give	VERB
ejpam-6698	135	103	by	by	ADP
ejpam-6698	135	104	(	(	PUNCT
ejpam-6698	135	105	8)	8)	NUM
ejpam-6698	135	106	and	and	CCONJ
ejpam-6698	135	107	z	z	NOUN
ejpam-6698	135	108	,	,	PUNCT
ejpam-6698	135	109	ξ	ξ	PROPN
ejpam-6698	135	110	∈	∈	PROPN
ejpam-6698	135	111	d.	d.	PROPN
ejpam-6698	135	112	a.	a.	PROPN
ejpam-6698	135	113	alsoboh	alsoboh	PROPN
ejpam-6698	135	114	et	et	PROPN
ejpam-6698	135	115	al	al	PROPN
ejpam-6698	135	116	.	.	PUNCT
ejpam-6698	135	117	/	/	SYM
ejpam-6698	135	118	eur	eur	PROPN
ejpam-6698	135	119	.	.	PUNCT
ejpam-6698	136	1	j.	j.	PROPN
ejpam-6698	136	2	pure	pure	PROPN
ejpam-6698	136	3	appl	appl	PROPN
ejpam-6698	136	4	.	.	PROPN
ejpam-6698	136	5	math	math	PROPN
ejpam-6698	136	6	,	,	PUNCT
ejpam-6698	136	7	18	18	NUM
ejpam-6698	136	8	(	(	PUNCT
ejpam-6698	136	9	3	3	NUM
ejpam-6698	136	10	)	)	PUNCT
ejpam-6698	136	11	(	(	PUNCT
ejpam-6698	136	12	2025	2025	NUM
ejpam-6698	136	13	)	)	PUNCT
ejpam-6698	136	14	,	,	PUNCT
ejpam-6698	136	15	6698	6698	NUM
ejpam-6698	136	16	9	9	NUM
ejpam-6698	136	17	of	of	ADP
ejpam-6698	136	18	25	25	NUM
ejpam-6698	136	19	by	by	ADP
ejpam-6698	136	20	varying	vary	VERB
ejpam-6698	136	21	the	the	DET
ejpam-6698	136	22	parameters	parameter	NOUN
ejpam-6698	136	23	µ	µ	PRON
ejpam-6698	136	24	∈	∈	PROPN
ejpam-6698	136	25	r+	r+	NOUN
ejpam-6698	136	26	∪	∪	X
ejpam-6698	136	27	{	{	PUNCT
ejpam-6698	136	28	0	0	NUM
ejpam-6698	136	29	}	}	PUNCT
ejpam-6698	136	30	and	and	CCONJ
ejpam-6698	136	31	q	q	ADJ
ejpam-6698	136	32	∈	∈	PROPN
ejpam-6698	136	33	(	(	PUNCT
ejpam-6698	136	34	0	0	NUM
ejpam-6698	136	35	,	,	PUNCT
ejpam-6698	136	36	1	1	NUM
ejpam-6698	136	37	)	)	PUNCT
ejpam-6698	136	38	,	,	PUNCT
ejpam-6698	136	39	a	a	DET
ejpam-6698	136	40	broad	broad	ADJ
ejpam-6698	136	41	spectrum	spectrum	NOUN
ejpam-6698	136	42	of	of	ADP
ejpam-6698	136	43	novel	novel	ADJ
ejpam-6698	136	44	subclasses	subclass	NOUN
ejpam-6698	136	45	of	of	ADP
ejpam-6698	136	46	the	the	DET
ejpam-6698	136	47	bi	bi	ADJ
ejpam-6698	136	48	-	-	ADJ
ejpam-6698	136	49	univalent	univalent	ADJ
ejpam-6698	136	50	function	function	NOUN
ejpam-6698	136	51	class	class	NOUN
ejpam-6698	136	52	∑	∑	PUNCT
ejpam-6698	136	53	can	can	AUX
ejpam-6698	136	54	be	be	AUX
ejpam-6698	136	55	systematically	systematically	ADV
ejpam-6698	136	56	derived	derive	VERB
ejpam-6698	136	57	.	.	PUNCT
ejpam-6698	137	1	these	these	DET
ejpam-6698	137	2	subclasses	subclass	NOUN
ejpam-6698	137	3	capture	capture	VERB
ejpam-6698	137	4	diverse	diverse	ADJ
ejpam-6698	137	5	geometric	geometric	ADJ
ejpam-6698	137	6	behaviors	behavior	NOUN
ejpam-6698	137	7	and	and	CCONJ
ejpam-6698	137	8	provide	provide	VERB
ejpam-6698	137	9	a	a	DET
ejpam-6698	137	10	unified	unified	ADJ
ejpam-6698	137	11	framework	framework	NOUN
ejpam-6698	137	12	for	for	ADP
ejpam-6698	137	13	further	further	ADJ
ejpam-6698	137	14	analytical	analytical	ADJ
ejpam-6698	137	15	investigations	investigation	NOUN
ejpam-6698	137	16	.	.	PUNCT
ejpam-6698	138	1	example	example	NOUN
ejpam-6698	139	1	2	2	NUM
ejpam-6698	139	2	.	.	X
ejpam-6698	140	1	if	if	SCONJ
ejpam-6698	140	2	µ	µ	X
ejpam-6698	140	3	=	=	SYM
ejpam-6698	140	4	0	0	NUM
ejpam-6698	140	5	,	,	PUNCT
ejpam-6698	140	6	we	we	PRON
ejpam-6698	140	7	obtain	obtain	VERB
ejpam-6698	140	8	the	the	DET
ejpam-6698	140	9	class	class	NOUN
ejpam-6698	140	10	slς(υ(z	slς(υ(z	NOUN
ejpam-6698	140	11	;	;	PUNCT
ejpam-6698	140	12	q	q	X
ejpam-6698	140	13	)	)	PUNCT
ejpam-6698	140	14	)	)	PUNCT
ejpam-6698	140	15	,	,	PUNCT
ejpam-6698	140	16	defined	define	VERB
ejpam-6698	140	17	as	as	ADP
ejpam-6698	140	18	consisting	consist	VERB
ejpam-6698	140	19	of	of	ADP
ejpam-6698	140	20	functions	function	NOUN
ejpam-6698	140	21	f	f	PROPN
ejpam-6698	140	22	∈	∈	PROPN
ejpam-6698	140	23	σ	σ	NOUN
ejpam-6698	140	24	satisfying	satisfy	VERB
ejpam-6698	140	25	the	the	DET
ejpam-6698	140	26	conditions	condition	NOUN
ejpam-6698	140	27	zðq⟨f(z)⟩	zðq⟨f(z)⟩	PROPN
ejpam-6698	140	28	f(z	f(z	PROPN
ejpam-6698	140	29	)	)	PUNCT
ejpam-6698	140	30	≺	≺	NOUN
ejpam-6698	140	31	υ(z	υ(z	PROPN
ejpam-6698	140	32	;	;	PUNCT
ejpam-6698	140	33	q	q	X
ejpam-6698	140	34	)	)	PUNCT
ejpam-6698	140	35	=	=	SYM
ejpam-6698	140	36	1	1	NUM
ejpam-6698	140	37	+	+	CCONJ
ejpam-6698	140	38	qϑ2qz	qϑ2qz	NOUN
ejpam-6698	140	39	2	2	NUM
ejpam-6698	140	40	1	1	NUM
ejpam-6698	140	41	−	−	NOUN
ejpam-6698	140	42	ϑq	ϑq	INTJ
ejpam-6698	140	43	z	z	NOUN
ejpam-6698	140	44	−	−	PROPN
ejpam-6698	140	45	qϑ2qz	qϑ2qz	NOUN
ejpam-6698	140	46	2	2	NUM
ejpam-6698	140	47	,	,	PUNCT
ejpam-6698	140	48	and	and	CCONJ
ejpam-6698	140	49	ξðq⟨χ(ξ)⟩	ξðq⟨χ(ξ)⟩	PROPN
ejpam-6698	140	50	χ(ξ	χ(ξ	NOUN
ejpam-6698	140	51	)	)	PUNCT
ejpam-6698	140	52	≺	≺	NOUN
ejpam-6698	140	53	υ(ξ	υ(ξ	PUNCT
ejpam-6698	140	54	;	;	PUNCT
ejpam-6698	140	55	q	q	X
ejpam-6698	140	56	)	)	PUNCT
ejpam-6698	140	57	=	=	SYM
ejpam-6698	141	1	1	1	NUM
ejpam-6698	142	1	+	+	CCONJ
ejpam-6698	142	2	qϑ2qξ	qϑ2qξ	VERB
ejpam-6698	142	3	2	2	NUM
ejpam-6698	142	4	1	1	NUM
ejpam-6698	142	5	−	−	NOUN
ejpam-6698	142	6	ϑq	ϑq	ADP
ejpam-6698	142	7	ξ	ξ	PRON
ejpam-6698	142	8	−	−	PROPN
ejpam-6698	142	9	qϑ2qξ	qϑ2qξ	VERB
ejpam-6698	142	10	2	2	NUM
ejpam-6698	142	11	,	,	PUNCT
ejpam-6698	142	12	where	where	SCONJ
ejpam-6698	142	13	ϑq	ϑq	INTJ
ejpam-6698	142	14	is	be	AUX
ejpam-6698	142	15	given	give	VERB
ejpam-6698	142	16	by	by	ADP
ejpam-6698	142	17	(	(	PUNCT
ejpam-6698	142	18	8)	8)	NUM
ejpam-6698	142	19	,	,	PUNCT
ejpam-6698	142	20	χ	χ	PROPN
ejpam-6698	142	21	=	=	SYM
ejpam-6698	142	22	f−1	f−1	PROPN
ejpam-6698	142	23	defined	define	VERB
ejpam-6698	142	24	as	as	ADP
ejpam-6698	142	25	in	in	ADP
ejpam-6698	142	26	(	(	PUNCT
ejpam-6698	142	27	5	5	NUM
ejpam-6698	142	28	)	)	PUNCT
ejpam-6698	142	29	,	,	PUNCT
ejpam-6698	142	30	ϑ	ϑ	X
ejpam-6698	142	31	=	=	X
ejpam-6698	142	32	1−	1−	NUM
ejpam-6698	142	33	√	√	NUM
ejpam-6698	142	34	5	5	NUM
ejpam-6698	142	35	2	2	NUM
ejpam-6698	142	36	is	be	AUX
ejpam-6698	142	37	the	the	DET
ejpam-6698	142	38	classical	classical	ADJ
ejpam-6698	142	39	fibonacci	fibonacci	NOUN
ejpam-6698	142	40	constant	constant	ADJ
ejpam-6698	142	41	,	,	PUNCT
ejpam-6698	142	42	and	and	CCONJ
ejpam-6698	142	43	z	z	NOUN
ejpam-6698	142	44	,	,	PUNCT
ejpam-6698	142	45	ξ	ξ	PROPN
ejpam-6698	142	46	∈	∈	PROPN
ejpam-6698	142	47	d.	d.	NOUN
ejpam-6698	142	48	this	this	DET
ejpam-6698	142	49	class	class	NOUN
ejpam-6698	142	50	was	be	AUX
ejpam-6698	142	51	studied	study	VERB
ejpam-6698	142	52	by	by	ADP
ejpam-6698	142	53	alsoboh	alsoboh	PROPN
ejpam-6698	142	54	et	et	PROPN
ejpam-6698	142	55	al	al	PROPN
ejpam-6698	142	56	.	.	PUNCT
ejpam-6698	143	1	[	[	X
ejpam-6698	143	2	11	11	NUM
ejpam-6698	143	3	]	]	PUNCT
ejpam-6698	143	4	.	.	PUNCT
ejpam-6698	143	5	example	example	NOUN
ejpam-6698	144	1	3	3	X
ejpam-6698	144	2	.	.	PUNCT
ejpam-6698	145	1	if	if	SCONJ
ejpam-6698	145	2	q	q	PROPN
ejpam-6698	145	3	→	→	SYM
ejpam-6698	145	4	1−	1−	NUM
ejpam-6698	145	5	then	then	ADV
ejpam-6698	145	6	bς(µ	bς(µ	NUM
ejpam-6698	145	7	;	;	PUNCT
ejpam-6698	145	8	q	q	X
ejpam-6698	145	9	)	)	PUNCT
ejpam-6698	145	10	is	be	AUX
ejpam-6698	145	11	reduce	reduce	VERB
ejpam-6698	145	12	to	to	ADP
ejpam-6698	145	13	the	the	DET
ejpam-6698	145	14	subclass	subclass	ADJ
ejpam-6698	145	15	bς(µ	bς(µ	NUM
ejpam-6698	145	16	)	)	PUNCT
ejpam-6698	145	17	studied	study	VERB
ejpam-6698	145	18	by	by	ADP
ejpam-6698	145	19	pulala	pulala	NOUN
ejpam-6698	146	1	[	[	X
ejpam-6698	146	2	31	31	NUM
ejpam-6698	146	3	]	]	PUNCT
ejpam-6698	146	4	.	.	PUNCT
ejpam-6698	147	1	z1−µ	z1−µ	PROPN
ejpam-6698	147	2	f	f	PROPN
ejpam-6698	147	3	′(z	′(z	NOUN
ejpam-6698	147	4	)	)	PUNCT
ejpam-6698	147	5	(	(	PUNCT
ejpam-6698	147	6	f(z	f(z	PROPN
ejpam-6698	147	7	)	)	PUNCT
ejpam-6698	147	8	)	)	PUNCT
ejpam-6698	148	1	1−µ	1−µ	NOUN
ejpam-6698	148	2	≺	≺	NOUN
ejpam-6698	148	3	υ(z	υ(z	NOUN
ejpam-6698	148	4	)	)	PUNCT
ejpam-6698	148	5	=	=	SYM
ejpam-6698	148	6	1	1	NUM
ejpam-6698	148	7	+	+	CCONJ
ejpam-6698	148	8	ϑ2z2	ϑ2z2	X
ejpam-6698	148	9	1	1	NUM
ejpam-6698	148	10	−	−	NOUN
ejpam-6698	148	11	ϑz	ϑz	PRON
ejpam-6698	148	12	−	−	PROPN
ejpam-6698	148	13	ϑ2z2	ϑ2z2	X
ejpam-6698	148	14	,	,	PUNCT
ejpam-6698	148	15	and	and	CCONJ
ejpam-6698	148	16	ξ1−µ	ξ1−µ	PROPN
ejpam-6698	148	17	χ′(ξ	χ′(ξ	PROPN
ejpam-6698	148	18	)	)	PUNCT
ejpam-6698	148	19	(	(	PUNCT
ejpam-6698	148	20	χ(ξ	χ(ξ	NOUN
ejpam-6698	148	21	)	)	PUNCT
ejpam-6698	148	22	)	)	PUNCT
ejpam-6698	148	23	1−µ	1−µ	NOUN
ejpam-6698	148	24	≺	≺	NOUN
ejpam-6698	148	25	υ(ξ	υ(ξ	NUM
ejpam-6698	148	26	)	)	PUNCT
ejpam-6698	148	27	=	=	SYM
ejpam-6698	148	28	1	1	NUM
ejpam-6698	148	29	+	+	CCONJ
ejpam-6698	148	30	ϑ2ξ2	ϑ2ξ2	VERB
ejpam-6698	148	31	1	1	NUM
ejpam-6698	148	32	−	−	NOUN
ejpam-6698	148	33	ϑξ	ϑξ	NOUN
ejpam-6698	148	34	−	−	PROPN
ejpam-6698	148	35	ϑ2ξ2	ϑ2ξ2	AUX
ejpam-6698	148	36	,	,	PUNCT
ejpam-6698	148	37	as	as	SCONJ
ejpam-6698	148	38	demonstrated	demonstrate	VERB
ejpam-6698	148	39	in	in	ADP
ejpam-6698	148	40	[	[	X
ejpam-6698	148	41	32	32	NUM
ejpam-6698	148	42	]	]	PUNCT
ejpam-6698	148	43	,	,	PUNCT
ejpam-6698	148	44	the	the	DET
ejpam-6698	148	45	most	most	ADV
ejpam-6698	148	46	precise	precise	ADJ
ejpam-6698	148	47	agreement	agreement	NOUN
ejpam-6698	148	48	is	be	AUX
ejpam-6698	148	49	attained	attain	VERB
ejpam-6698	148	50	in	in	ADP
ejpam-6698	148	51	the	the	DET
ejpam-6698	148	52	case	case	NOUN
ejpam-6698	148	53	where	where	SCONJ
ejpam-6698	148	54	bς(µ	bς(µ	NUM
ejpam-6698	148	55	;	;	PUNCT
ejpam-6698	148	56	q	q	X
ejpam-6698	148	57	)	)	PUNCT
ejpam-6698	148	58	:	:	PUNCT
ejpam-6698	149	1	=	=	SYM
ejpam-6698	149	2	j	j	PROPN
ejpam-6698	149	3	(	(	PUNCT
ejpam-6698	149	4	1,µ	1,µ	NUM
ejpam-6698	149	5	)	)	PUNCT
ejpam-6698	149	6	σ	σ	PROPN
ejpam-6698	149	7	(	(	PUNCT
ejpam-6698	149	8	y	y	PROPN
ejpam-6698	149	9	(	(	PUNCT
ejpam-6698	149	10	z	z	NOUN
ejpam-6698	149	11	;	;	PUNCT
ejpam-6698	149	12	1−	1−	NUM
ejpam-6698	149	13	)	)	PUNCT
ejpam-6698	149	14	)	)	PUNCT
ejpam-6698	149	15	,	,	PUNCT
ejpam-6698	149	16	example	example	NOUN
ejpam-6698	149	17	4	4	NUM
ejpam-6698	149	18	.	.	PUNCT
ejpam-6698	150	1	in	in	ADP
ejpam-6698	150	2	the	the	DET
ejpam-6698	150	3	limiting	limit	VERB
ejpam-6698	150	4	case	case	NOUN
ejpam-6698	150	5	as	as	ADP
ejpam-6698	150	6	q	q	NOUN
ejpam-6698	150	7	→	→	SYM
ejpam-6698	150	8	1−	1−	NUM
ejpam-6698	150	9	,	,	PUNCT
ejpam-6698	150	10	and	and	CCONJ
ejpam-6698	150	11	µ	µ	X
ejpam-6698	150	12	=	=	SYM
ejpam-6698	150	13	0	0	NUM
ejpam-6698	150	14	we	we	PRON
ejpam-6698	150	15	recover	recover	VERB
ejpam-6698	150	16	the	the	DET
ejpam-6698	150	17	classical	classical	ADJ
ejpam-6698	150	18	subclass	subclass	NOUN
ejpam-6698	150	19	slmς	slmς	NOUN
ejpam-6698	150	20	,	,	PUNCT
ejpam-6698	150	21	consisting	consist	VERB
ejpam-6698	150	22	of	of	ADP
ejpam-6698	150	23	all	all	DET
ejpam-6698	150	24	functions	function	NOUN
ejpam-6698	150	25	f	f	PROPN
ejpam-6698	150	26	∈	∈	PROPN
ejpam-6698	150	27	σ	σ	NOUN
ejpam-6698	150	28	that	that	PRON
ejpam-6698	150	29	satisfy	satisfy	VERB
ejpam-6698	150	30	the	the	DET
ejpam-6698	150	31	following	follow	VERB
ejpam-6698	150	32	subordination	subordination	NOUN
ejpam-6698	150	33	conditions	condition	NOUN
ejpam-6698	150	34	:	:	PUNCT
ejpam-6698	150	35	z	z	NOUN
ejpam-6698	150	36	f	f	NOUN
ejpam-6698	150	37	′(z	′(z	NOUN
ejpam-6698	150	38	)	)	PUNCT
ejpam-6698	150	39	f(z	f(z	PROPN
ejpam-6698	150	40	)	)	PUNCT
ejpam-6698	150	41	≺	≺	NOUN
ejpam-6698	150	42	υ(z	υ(z	NOUN
ejpam-6698	150	43	)	)	PUNCT
ejpam-6698	150	44	=	=	SYM
ejpam-6698	150	45	1	1	NUM
ejpam-6698	150	46	+	+	CCONJ
ejpam-6698	150	47	ϑ2z2	ϑ2z2	X
ejpam-6698	150	48	1	1	NUM
ejpam-6698	150	49	−	−	NOUN
ejpam-6698	150	50	ϑz	ϑz	PRON
ejpam-6698	150	51	−	−	PROPN
ejpam-6698	150	52	ϑ2z2	ϑ2z2	X
ejpam-6698	150	53	,	,	PUNCT
ejpam-6698	150	54	and	and	CCONJ
ejpam-6698	150	55	ξ	ξ	X
ejpam-6698	150	56	χ′(ξ	χ′(ξ	PROPN
ejpam-6698	150	57	)	)	PUNCT
ejpam-6698	150	58	χ(ξ	χ(ξ	NOUN
ejpam-6698	150	59	)	)	PUNCT
ejpam-6698	150	60	≺	≺	NOUN
ejpam-6698	150	61	υ(ξ	υ(ξ	NUM
ejpam-6698	150	62	)	)	PUNCT
ejpam-6698	150	63	=	=	SYM
ejpam-6698	151	1	1	1	NUM
ejpam-6698	151	2	+	+	CCONJ
ejpam-6698	151	3	ϑ2ξ2	ϑ2ξ2	VERB
ejpam-6698	151	4	1	1	NUM
ejpam-6698	151	5	−	−	NOUN
ejpam-6698	151	6	ϑξ	ϑξ	NOUN
ejpam-6698	151	7	−	−	PROPN
ejpam-6698	151	8	ϑ2ξ2	ϑ2ξ2	NOUN
ejpam-6698	151	9	,	,	PUNCT
ejpam-6698	151	10	where	where	SCONJ
ejpam-6698	151	11	χ	χ	ADJ
ejpam-6698	151	12	=	=	SYM
ejpam-6698	151	13	f−1	f−1	PROPN
ejpam-6698	151	14	is	be	AUX
ejpam-6698	151	15	the	the	DET
ejpam-6698	151	16	inverse	inverse	NOUN
ejpam-6698	151	17	function	function	NOUN
ejpam-6698	151	18	defined	define	VERB
ejpam-6698	151	19	as	as	ADP
ejpam-6698	151	20	in	in	ADP
ejpam-6698	151	21	(	(	PUNCT
ejpam-6698	151	22	5	5	NUM
ejpam-6698	151	23	)	)	PUNCT
ejpam-6698	151	24	,	,	PUNCT
ejpam-6698	151	25	ϑ	ϑ	X
ejpam-6698	151	26	=	=	X
ejpam-6698	151	27	1−	1−	NUM
ejpam-6698	151	28	√	√	NUM
ejpam-6698	151	29	5	5	NUM
ejpam-6698	151	30	2	2	NUM
ejpam-6698	151	31	is	be	AUX
ejpam-6698	151	32	the	the	DET
ejpam-6698	151	33	classical	classical	ADJ
ejpam-6698	151	34	fibonacci	fibonacci	NOUN
ejpam-6698	151	35	constant	constant	ADJ
ejpam-6698	151	36	,	,	PUNCT
ejpam-6698	151	37	and	and	CCONJ
ejpam-6698	151	38	z	z	NOUN
ejpam-6698	151	39	,	,	PUNCT
ejpam-6698	151	40	ξ	ξ	PROPN
ejpam-6698	151	41	∈	∈	PROPN
ejpam-6698	151	42	d.	d.	NOUN
ejpam-6698	151	43	this	this	DET
ejpam-6698	151	44	class	class	NOUN
ejpam-6698	151	45	was	be	AUX
ejpam-6698	151	46	initially	initially	ADV
ejpam-6698	151	47	investigated	investigate	VERB
ejpam-6698	151	48	by	by	ADP
ejpam-6698	151	49	sokó	sokó	NOUN
ejpam-6698	151	50	l	l	NOUN
ejpam-6698	152	1	[	[	X
ejpam-6698	152	2	5	5	NUM
ejpam-6698	152	3	,	,	PUNCT
ejpam-6698	152	4	6	6	NUM
ejpam-6698	152	5	]	]	PUNCT
ejpam-6698	152	6	,	,	PUNCT
ejpam-6698	152	7	and	and	CCONJ
ejpam-6698	152	8	subsequently	subsequently	ADV
ejpam-6698	152	9	studied	study	VERB
ejpam-6698	152	10	in	in	ADP
ejpam-6698	152	11	greater	great	ADJ
ejpam-6698	152	12	depth	depth	NOUN
ejpam-6698	152	13	by	by	ADP
ejpam-6698	152	14	özgür	özgür	ADV
ejpam-6698	152	15	and	and	CCONJ
ejpam-6698	152	16	sokó	sokó	NOUN
ejpam-6698	152	17	l	l	NOUN
ejpam-6698	153	1	[	[	X
ejpam-6698	153	2	33	33	NUM
ejpam-6698	153	3	]	]	PUNCT
ejpam-6698	153	4	.	.	PUNCT
ejpam-6698	154	1	a.	a.	PROPN
ejpam-6698	154	2	alsoboh	alsoboh	PROPN
ejpam-6698	154	3	et	et	PROPN
ejpam-6698	154	4	al	al	PROPN
ejpam-6698	154	5	.	.	PUNCT
ejpam-6698	154	6	/	/	SYM
ejpam-6698	154	7	eur	eur	PROPN
ejpam-6698	154	8	.	.	PUNCT
ejpam-6698	155	1	j.	j.	PROPN
ejpam-6698	155	2	pure	pure	PROPN
ejpam-6698	155	3	appl	appl	PROPN
ejpam-6698	155	4	.	.	PROPN
ejpam-6698	155	5	math	math	PROPN
ejpam-6698	155	6	,	,	PUNCT
ejpam-6698	155	7	18	18	NUM
ejpam-6698	155	8	(	(	PUNCT
ejpam-6698	155	9	3	3	NUM
ejpam-6698	155	10	)	)	PUNCT
ejpam-6698	155	11	(	(	PUNCT
ejpam-6698	155	12	2025	2025	NUM
ejpam-6698	155	13	)	)	PUNCT
ejpam-6698	155	14	,	,	PUNCT
ejpam-6698	155	15	6698	6698	NUM
ejpam-6698	155	16	10	10	NUM
ejpam-6698	155	17	of	of	ADP
ejpam-6698	155	18	25	25	NUM
ejpam-6698	155	19	2	2	NUM
ejpam-6698	155	20	.	.	PUNCT
ejpam-6698	156	1	coefficient	coefficient	NOUN
ejpam-6698	156	2	bounds	bound	NOUN
ejpam-6698	156	3	of	of	ADP
ejpam-6698	156	4	bς(µ	bς(µ	NUM
ejpam-6698	156	5	;	;	PUNCT
ejpam-6698	156	6	q	q	X
ejpam-6698	156	7	)	)	PUNCT
ejpam-6698	156	8	in	in	ADP
ejpam-6698	156	9	this	this	DET
ejpam-6698	156	10	section	section	NOUN
ejpam-6698	156	11	,	,	PUNCT
ejpam-6698	156	12	we	we	PRON
ejpam-6698	156	13	aim	aim	VERB
ejpam-6698	156	14	to	to	PART
ejpam-6698	156	15	estimate	estimate	VERB
ejpam-6698	156	16	the	the	DET
ejpam-6698	156	17	initial	initial	ADJ
ejpam-6698	156	18	taylor	taylor	PROPN
ejpam-6698	156	19	coefficients	coefficient	NOUN
ejpam-6698	156	20	|a2|	|a2|	VERB
ejpam-6698	156	21	and	and	CCONJ
ejpam-6698	156	22	|a3|	|a3|	VERB
ejpam-6698	156	23	for	for	ADP
ejpam-6698	156	24	functions	function	NOUN
ejpam-6698	156	25	belonging	belong	VERB
ejpam-6698	156	26	to	to	ADP
ejpam-6698	156	27	the	the	DET
ejpam-6698	156	28	class	class	NOUN
ejpam-6698	156	29	bς(µ	bς(µ	NUM
ejpam-6698	156	30	;	;	PUNCT
ejpam-6698	156	31	q	q	X
ejpam-6698	156	32	)	)	PUNCT
ejpam-6698	156	33	,	,	PUNCT
ejpam-6698	156	34	as	as	SCONJ
ejpam-6698	156	35	defined	define	VERB
ejpam-6698	156	36	in	in	ADP
ejpam-6698	156	37	definition	definition	NOUN
ejpam-6698	156	38	3	3	NUM
ejpam-6698	156	39	.	.	PUNCT
ejpam-6698	157	1	consider	consider	VERB
ejpam-6698	157	2	the	the	DET
ejpam-6698	157	3	analytic	analytic	ADJ
ejpam-6698	157	4	function	function	NOUN
ejpam-6698	157	5	p(z	p(z	NOUN
ejpam-6698	157	6	)	)	PUNCT
ejpam-6698	158	1	=	=	SYM
ejpam-6698	158	2	1	1	NUM
ejpam-6698	159	1	+	+	NUM
ejpam-6698	159	2	p1z	p1z	NOUN
ejpam-6698	159	3	+	+	CCONJ
ejpam-6698	159	4	p2z	p2z	PROPN
ejpam-6698	159	5	2	2	NUM
ejpam-6698	159	6	+	+	CCONJ
ejpam-6698	159	7	p3z	p3z	ADJ
ejpam-6698	159	8	3	3	NUM
ejpam-6698	159	9	+	+	CCONJ
ejpam-6698	159	10	.	.	PUNCT
ejpam-6698	159	11	.	.	PUNCT
ejpam-6698	160	1	.	.	PUNCT
ejpam-6698	161	1	,	,	PUNCT
ejpam-6698	161	2	which	which	PRON
ejpam-6698	161	3	satisfies	satisfy	VERB
ejpam-6698	161	4	the	the	DET
ejpam-6698	161	5	subordination	subordination	NOUN
ejpam-6698	161	6	condition	condition	NOUN
ejpam-6698	161	7	p(z	p(z	NOUN
ejpam-6698	161	8	)	)	PUNCT
ejpam-6698	161	9	≺	≺	NOUN
ejpam-6698	161	10	υ(z	υ(z	PROPN
ejpam-6698	161	11	;	;	PUNCT
ejpam-6698	161	12	q	q	X
ejpam-6698	161	13	)	)	PUNCT
ejpam-6698	161	14	.	.	PUNCT
ejpam-6698	162	1	by	by	ADP
ejpam-6698	162	2	the	the	DET
ejpam-6698	162	3	principle	principle	NOUN
ejpam-6698	162	4	of	of	ADP
ejpam-6698	162	5	subordination	subordination	NOUN
ejpam-6698	162	6	,	,	PUNCT
ejpam-6698	162	7	there	there	PRON
ejpam-6698	162	8	exists	exist	VERB
ejpam-6698	162	9	a	a	DET
ejpam-6698	162	10	schwarz	schwarz	PROPN
ejpam-6698	162	11	function	function	PROPN
ejpam-6698	162	12	φ	φ	PROPN
ejpam-6698	162	13	∈	∈	PROPN
ejpam-6698	163	1	p	p	NOUN
ejpam-6698	163	2	such	such	ADJ
ejpam-6698	163	3	that	that	SCONJ
ejpam-6698	163	4	|φ(z)|	|φ(z)|	ADP
ejpam-6698	163	5	<	<	X
ejpam-6698	163	6	1	1	NUM
ejpam-6698	163	7	for	for	ADP
ejpam-6698	163	8	all	all	DET
ejpam-6698	163	9	z	z	NOUN
ejpam-6698	163	10	∈	∈	PROPN
ejpam-6698	163	11	d	d	NOUN
ejpam-6698	163	12	,	,	PUNCT
ejpam-6698	163	13	and	and	CCONJ
ejpam-6698	163	14	p(z	p(z	NOUN
ejpam-6698	163	15	)	)	PUNCT
ejpam-6698	163	16	=	=	SYM
ejpam-6698	163	17	υ(φ(z	υ(φ(z	PROPN
ejpam-6698	163	18	)	)	PUNCT
ejpam-6698	163	19	;	;	PUNCT
ejpam-6698	163	20	q	q	X
ejpam-6698	163	21	)	)	PUNCT
ejpam-6698	163	22	.	.	PUNCT
ejpam-6698	164	1	define	define	VERB
ejpam-6698	164	2	the	the	DET
ejpam-6698	164	3	function	function	NOUN
ejpam-6698	164	4	ℏ(z	ℏ(z	NOUN
ejpam-6698	164	5	)	)	PUNCT
ejpam-6698	164	6	=	=	SYM
ejpam-6698	164	7	1	1	NUM
ejpam-6698	164	8	+	+	PUNCT
ejpam-6698	164	9	φ(z	φ(z	NOUN
ejpam-6698	164	10	)	)	PUNCT
ejpam-6698	164	11	1	1	NUM
ejpam-6698	164	12	−	−	PROPN
ejpam-6698	164	13	φ(z	φ(z	PROPN
ejpam-6698	164	14	)	)	PUNCT
ejpam-6698	164	15	=	=	SYM
ejpam-6698	165	1	1	1	NUM
ejpam-6698	165	2	+	+	CCONJ
ejpam-6698	165	3	ℓ1z	ℓ1z	PROPN
ejpam-6698	166	1	+	+	CCONJ
ejpam-6698	166	2	ℓ2z	ℓ2z	NUM
ejpam-6698	166	3	2	2	NUM
ejpam-6698	166	4	+	+	NUM
ejpam-6698	166	5	·	·	PUNCT
ejpam-6698	166	6	·	·	PUNCT
ejpam-6698	166	7	·	·	PUNCT
ejpam-6698	166	8	∈	∈	PROPN
ejpam-6698	167	1	p	p	X
ejpam-6698	167	2	,	,	PUNCT
ejpam-6698	167	3	(	(	PUNCT
ejpam-6698	167	4	z	z	NOUN
ejpam-6698	167	5	∈	∈	PROPN
ejpam-6698	167	6	d	d	NOUN
ejpam-6698	167	7	)	)	PUNCT
ejpam-6698	167	8	.	.	PUNCT
ejpam-6698	168	1	(	(	PUNCT
ejpam-6698	168	2	15	15	NUM
ejpam-6698	168	3	)	)	PUNCT
ejpam-6698	168	4	since	since	SCONJ
ejpam-6698	168	5	φ(z	φ(z	PROPN
ejpam-6698	168	6	)	)	PUNCT
ejpam-6698	168	7	is	be	AUX
ejpam-6698	168	8	analytic	analytic	ADJ
ejpam-6698	168	9	in	in	ADP
ejpam-6698	168	10	d	d	PROPN
ejpam-6698	168	11	and	and	CCONJ
ejpam-6698	168	12	subordinate	subordinate	VERB
ejpam-6698	168	13	to	to	ADP
ejpam-6698	168	14	υ(z	υ(z	NOUN
ejpam-6698	168	15	;	;	PUNCT
ejpam-6698	168	16	q	q	X
ejpam-6698	168	17	)	)	PUNCT
ejpam-6698	168	18	,	,	PUNCT
ejpam-6698	168	19	it	it	PRON
ejpam-6698	168	20	admits	admit	VERB
ejpam-6698	168	21	the	the	DET
ejpam-6698	168	22	following	follow	VERB
ejpam-6698	168	23	taylor	taylor	PROPN
ejpam-6698	168	24	expansion	expansion	NOUN
ejpam-6698	168	25	:	:	PUNCT
ejpam-6698	168	26	φ(z	φ(z	ADJ
ejpam-6698	168	27	)	)	PUNCT
ejpam-6698	168	28	=	=	PUNCT
ejpam-6698	169	1	ℓ1z	ℓ1z	ADJ
ejpam-6698	169	2	2	2	NUM
ejpam-6698	169	3	+	+	CCONJ
ejpam-6698	169	4	(	(	PUNCT
ejpam-6698	169	5	ℓ2	ℓ2	PROPN
ejpam-6698	169	6	−	−	PROPN
ejpam-6698	169	7	ℓ21	ℓ21	NOUN
ejpam-6698	169	8	2	2	NUM
ejpam-6698	169	9	)	)	PUNCT
ejpam-6698	169	10	z2	z2	NOUN
ejpam-6698	169	11	2	2	NUM
ejpam-6698	169	12	+	+	CCONJ
ejpam-6698	169	13	(	(	PUNCT
ejpam-6698	169	14	ℓ3	ℓ3	PROPN
ejpam-6698	169	15	−	−	PROPN
ejpam-6698	169	16	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-6698	169	17	−	−	PROPN
ejpam-6698	169	18	ℓ31	ℓ31	VERB
ejpam-6698	169	19	4	4	NUM
ejpam-6698	169	20	)	)	PUNCT
ejpam-6698	169	21	z3	z3	NOUN
ejpam-6698	169	22	2	2	NUM
ejpam-6698	169	23	+	+	CCONJ
ejpam-6698	169	24	·	·	PUNCT
ejpam-6698	169	25	·	·	PUNCT
ejpam-6698	169	26	·	·	PUNCT
ejpam-6698	169	27	.	.	PUNCT
ejpam-6698	170	1	(	(	PUNCT
ejpam-6698	170	2	16	16	NUM
ejpam-6698	170	3	)	)	PUNCT
ejpam-6698	170	4	substituting	substitute	VERB
ejpam-6698	170	5	this	this	PRON
ejpam-6698	170	6	into	into	ADP
ejpam-6698	170	7	the	the	DET
ejpam-6698	170	8	function	function	NOUN
ejpam-6698	170	9	υ(φ(z	υ(φ(z	PROPN
ejpam-6698	170	10	)	)	PUNCT
ejpam-6698	170	11	;	;	PUNCT
ejpam-6698	170	12	q	q	X
ejpam-6698	170	13	)	)	PUNCT
ejpam-6698	170	14	,	,	PUNCT
ejpam-6698	170	15	we	we	PRON
ejpam-6698	170	16	obtain	obtain	VERB
ejpam-6698	170	17	:	:	PUNCT
ejpam-6698	170	18	υ(φ(z	υ(φ(z	PROPN
ejpam-6698	170	19	)	)	PUNCT
ejpam-6698	170	20	;	;	PUNCT
ejpam-6698	171	1	q	q	X
ejpam-6698	171	2	)	)	PUNCT
ejpam-6698	171	3	=	=	SYM
ejpam-6698	171	4	1	1	NUM
ejpam-6698	171	5	+	+	NUM
ejpam-6698	171	6	p1	p1	PROPN
ejpam-6698	171	7	[	[	PUNCT
ejpam-6698	171	8	ℓ1z	ℓ1z	PROPN
ejpam-6698	171	9	2	2	NUM
ejpam-6698	171	10	+	+	CCONJ
ejpam-6698	171	11	(	(	PUNCT
ejpam-6698	171	12	ℓ2	ℓ2	PROPN
ejpam-6698	171	13	−	−	PROPN
ejpam-6698	171	14	ℓ21	ℓ21	NOUN
ejpam-6698	171	15	2	2	NUM
ejpam-6698	171	16	)	)	PUNCT
ejpam-6698	171	17	z2	z2	NOUN
ejpam-6698	171	18	2	2	NUM
ejpam-6698	171	19	+	+	CCONJ
ejpam-6698	171	20	(	(	PUNCT
ejpam-6698	171	21	ℓ3	ℓ3	PROPN
ejpam-6698	171	22	−	−	PROPN
ejpam-6698	171	23	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-6698	171	24	−	−	PROPN
ejpam-6698	171	25	ℓ31	ℓ31	VERB
ejpam-6698	171	26	4	4	NUM
ejpam-6698	171	27	)	)	PUNCT
ejpam-6698	171	28	z3	z3	NOUN
ejpam-6698	171	29	2	2	NUM
ejpam-6698	171	30	+	+	CCONJ
ejpam-6698	171	31	·	·	PUNCT
ejpam-6698	171	32	·	·	PUNCT
ejpam-6698	171	33	·	·	PUNCT
ejpam-6698	171	34	]	]	PUNCT
ejpam-6698	172	1	+	+	CCONJ
ejpam-6698	172	2	p2	p2	X
ejpam-6698	172	3	[	[	PUNCT
ejpam-6698	172	4	ℓ1z	ℓ1z	PROPN
ejpam-6698	172	5	2	2	NUM
ejpam-6698	172	6	+	+	NUM
ejpam-6698	172	7	·	·	PUNCT
ejpam-6698	172	8	·	·	PUNCT
ejpam-6698	172	9	·	·	PUNCT
ejpam-6698	172	10	]	]	SYM
ejpam-6698	172	11	2	2	X
ejpam-6698	172	12	+	+	X
ejpam-6698	172	13	p3	p3	NOUN
ejpam-6698	172	14	[	[	PUNCT
ejpam-6698	172	15	ℓ1z	ℓ1z	PROPN
ejpam-6698	172	16	2	2	NUM
ejpam-6698	172	17	+	+	CCONJ
ejpam-6698	172	18	·	·	PUNCT
ejpam-6698	172	19	·	·	PUNCT
ejpam-6698	172	20	·	·	PUNCT
ejpam-6698	173	1	]	]	SYM
ejpam-6698	173	2	3	3	X
ejpam-6698	173	3	+	+	CCONJ
ejpam-6698	173	4	·	·	PUNCT
ejpam-6698	173	5	·	·	PUNCT
ejpam-6698	173	6	·	·	PUNCT
ejpam-6698	173	7	=	=	SYM
ejpam-6698	173	8	1	1	NUM
ejpam-6698	173	9	+	+	NUM
ejpam-6698	173	10	p1ℓ1	p1ℓ1	NOUN
ejpam-6698	173	11	2	2	NUM
ejpam-6698	173	12	z	z	NOUN
ejpam-6698	173	13	+	+	NOUN
ejpam-6698	173	14	1	1	NUM
ejpam-6698	173	15	2	2	NUM
ejpam-6698	173	16	[	[	X
ejpam-6698	173	17	(	(	PUNCT
ejpam-6698	173	18	ℓ2	ℓ2	PROPN
ejpam-6698	173	19	−	−	PROPN
ejpam-6698	173	20	ℓ21	ℓ21	NOUN
ejpam-6698	173	21	2	2	NUM
ejpam-6698	173	22	)	)	PUNCT
ejpam-6698	173	23	p1	p1	NOUN
ejpam-6698	173	24	+	+	CCONJ
ejpam-6698	173	25	ℓ21	ℓ21	NOUN
ejpam-6698	173	26	2	2	NUM
ejpam-6698	173	27	p2	p2	PROPN
ejpam-6698	173	28	]	]	PUNCT
ejpam-6698	173	29	z2	z2	PROPN
ejpam-6698	173	30	+	+	CCONJ
ejpam-6698	173	31	1	1	NUM
ejpam-6698	173	32	2	2	NUM
ejpam-6698	173	33	[	[	X
ejpam-6698	173	34	(	(	PUNCT
ejpam-6698	173	35	ℓ3	ℓ3	PROPN
ejpam-6698	173	36	−	−	PROPN
ejpam-6698	174	1	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-6698	174	2	+	+	CCONJ
ejpam-6698	174	3	ℓ31	ℓ31	VERB
ejpam-6698	174	4	4	4	NUM
ejpam-6698	174	5	)	)	PUNCT
ejpam-6698	174	6	p1	p1	NOUN
ejpam-6698	174	7	+	+	CCONJ
ejpam-6698	174	8	ℓ1	ℓ1	NOUN
ejpam-6698	174	9	(	(	PUNCT
ejpam-6698	174	10	ℓ2	ℓ2	NOUN
ejpam-6698	174	11	−	−	PROPN
ejpam-6698	174	12	ℓ21	ℓ21	NOUN
ejpam-6698	174	13	2	2	NUM
ejpam-6698	174	14	)	)	PUNCT
ejpam-6698	174	15	p2	p2	NOUN
ejpam-6698	174	16	+	+	CCONJ
ejpam-6698	174	17	ℓ31	ℓ31	VERB
ejpam-6698	174	18	4	4	NUM
ejpam-6698	174	19	p3	p3	PROPN
ejpam-6698	174	20	]	]	PUNCT
ejpam-6698	174	21	z3	z3	PROPN
ejpam-6698	174	22	+	+	CCONJ
ejpam-6698	174	23	·	·	PUNCT
ejpam-6698	174	24	·	·	PUNCT
ejpam-6698	174	25	·	·	PUNCT
ejpam-6698	175	1	=	=	SYM
ejpam-6698	175	2	1	1	NUM
ejpam-6698	175	3	+	+	NUM
ejpam-6698	175	4	ϑqℓ1	ϑqℓ1	NOUN
ejpam-6698	175	5	2	2	NUM
ejpam-6698	175	6	z	z	NOUN
ejpam-6698	175	7	+	+	NOUN
ejpam-6698	175	8	1	1	NUM
ejpam-6698	175	9	2	2	NUM
ejpam-6698	175	10	[	[	X
ejpam-6698	175	11	(	(	PUNCT
ejpam-6698	175	12	ℓ2	ℓ2	PROPN
ejpam-6698	175	13	−	−	PROPN
ejpam-6698	175	14	ℓ21	ℓ21	NOUN
ejpam-6698	175	15	2	2	NUM
ejpam-6698	175	16	)	)	PUNCT
ejpam-6698	175	17	ϑq	ϑq	VERB
ejpam-6698	175	18	+	+	X
ejpam-6698	175	19	(	(	PUNCT
ejpam-6698	175	20	1	1	NUM
ejpam-6698	175	21	+	+	NUM
ejpam-6698	175	22	2q)ϑ2qℓ	2q)ϑ2qℓ	NUM
ejpam-6698	175	23	2	2	NUM
ejpam-6698	175	24	1	1	NUM
ejpam-6698	175	25	2	2	NUM
ejpam-6698	175	26	]	]	PUNCT
ejpam-6698	175	27	z2	z2	PROPN
ejpam-6698	175	28	+	+	CCONJ
ejpam-6698	175	29	1	1	NUM
ejpam-6698	175	30	2	2	NUM
ejpam-6698	175	31	[	[	X
ejpam-6698	175	32	(	(	PUNCT
ejpam-6698	175	33	ℓ3	ℓ3	PROPN
ejpam-6698	175	34	−	−	PROPN
ejpam-6698	176	1	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-6698	176	2	+	+	CCONJ
ejpam-6698	176	3	ℓ31	ℓ31	X
ejpam-6698	176	4	4	4	NUM
ejpam-6698	176	5	)	)	PUNCT
ejpam-6698	176	6	ϑq	ϑq	VERB
ejpam-6698	176	7	+	+	CCONJ
ejpam-6698	176	8	ℓ1	ℓ1	NOUN
ejpam-6698	176	9	(	(	PUNCT
ejpam-6698	176	10	ℓ2	ℓ2	NOUN
ejpam-6698	176	11	−	−	PROPN
ejpam-6698	176	12	ℓ21	ℓ21	NOUN
ejpam-6698	176	13	2	2	NUM
ejpam-6698	176	14	)	)	PUNCT
ejpam-6698	176	15	(	(	PUNCT
ejpam-6698	176	16	1	1	NUM
ejpam-6698	176	17	+	+	CCONJ
ejpam-6698	176	18	2q)ϑ2q	2q)ϑ2q	NUM
ejpam-6698	176	19	+	+	CCONJ
ejpam-6698	176	20	(	(	PUNCT
ejpam-6698	176	21	1	1	NUM
ejpam-6698	176	22	+	+	NUM
ejpam-6698	176	23	3q)ϑ3qℓ	3q)ϑ3qℓ	NUM
ejpam-6698	176	24	3	3	NUM
ejpam-6698	176	25	1	1	NUM
ejpam-6698	176	26	4	4	NUM
ejpam-6698	176	27	]	]	PUNCT
ejpam-6698	176	28	z3	z3	PROPN
ejpam-6698	176	29	+	+	CCONJ
ejpam-6698	176	30	·	·	PUNCT
ejpam-6698	176	31	·	·	PUNCT
ejpam-6698	176	32	·	·	PUNCT
ejpam-6698	176	33	(	(	PUNCT
ejpam-6698	176	34	17	17	NUM
ejpam-6698	176	35	)	)	PUNCT
ejpam-6698	176	36	similarly	similarly	ADV
ejpam-6698	176	37	,	,	PUNCT
ejpam-6698	176	38	there	there	PRON
ejpam-6698	176	39	exists	exist	VERB
ejpam-6698	176	40	an	an	DET
ejpam-6698	176	41	analytic	analytic	ADJ
ejpam-6698	176	42	function	function	NOUN
ejpam-6698	176	43	ν	ν	NOUN
ejpam-6698	176	44	,	,	PUNCT
ejpam-6698	176	45	defined	define	VERB
ejpam-6698	176	46	in	in	ADP
ejpam-6698	176	47	d	d	PROPN
ejpam-6698	176	48	,	,	PUNCT
ejpam-6698	177	1	such	such	ADJ
ejpam-6698	177	2	that	that	SCONJ
ejpam-6698	177	3	|ν(ξ)|	|ν(ξ)|	NOUN
ejpam-6698	177	4	<	<	X
ejpam-6698	177	5	1	1	NUM
ejpam-6698	177	6	and	and	CCONJ
ejpam-6698	177	7	p(ξ	p(ξ	ADJ
ejpam-6698	177	8	)	)	PUNCT
ejpam-6698	177	9	=	=	SYM
ejpam-6698	177	10	υ(ν(ξ	υ(ν(ξ	PROPN
ejpam-6698	177	11	)	)	PUNCT
ejpam-6698	177	12	;	;	PUNCT
ejpam-6698	177	13	q	q	X
ejpam-6698	177	14	)	)	PUNCT
ejpam-6698	177	15	.	.	PUNCT
ejpam-6698	178	1	accordingly	accordingly	ADV
ejpam-6698	178	2	,	,	PUNCT
ejpam-6698	178	3	we	we	PRON
ejpam-6698	178	4	define	define	VERB
ejpam-6698	178	5	κ(ξ	κ(ξ	NOUN
ejpam-6698	178	6	)	)	PUNCT
ejpam-6698	178	7	=	=	SYM
ejpam-6698	179	1	1	1	NUM
ejpam-6698	179	2	+	+	CCONJ
ejpam-6698	179	3	ν(ξ	ν(ξ	X
ejpam-6698	179	4	)	)	PUNCT
ejpam-6698	179	5	1	1	NUM
ejpam-6698	179	6	−	−	PROPN
ejpam-6698	179	7	ν(ξ	ν(ξ	PROPN
ejpam-6698	179	8	)	)	PUNCT
ejpam-6698	179	9	=	=	SYM
ejpam-6698	180	1	1	1	NUM
ejpam-6698	180	2	+	+	CCONJ
ejpam-6698	180	3	τ1ξ	τ1ξ	PUNCT
ejpam-6698	180	4	+	+	CCONJ
ejpam-6698	180	5	τ2ξ	τ2ξ	VERB
ejpam-6698	180	6	2	2	NUM
ejpam-6698	180	7	+	+	NUM
ejpam-6698	180	8	·	·	PUNCT
ejpam-6698	180	9	·	·	PUNCT
ejpam-6698	180	10	·	·	PUNCT
ejpam-6698	181	1	∈	∈	PROPN
ejpam-6698	181	2	p.	p.	NOUN
ejpam-6698	181	3	(	(	PUNCT
ejpam-6698	181	4	18	18	NUM
ejpam-6698	181	5	)	)	PUNCT
ejpam-6698	181	6	a.	a.	NOUN
ejpam-6698	181	7	alsoboh	alsoboh	NOUN
ejpam-6698	181	8	et	et	PROPN
ejpam-6698	181	9	al	al	PROPN
ejpam-6698	181	10	.	.	PUNCT
ejpam-6698	181	11	/	/	SYM
ejpam-6698	181	12	eur	eur	PROPN
ejpam-6698	181	13	.	.	PUNCT
ejpam-6698	182	1	j.	j.	PROPN
ejpam-6698	182	2	pure	pure	PROPN
ejpam-6698	182	3	appl	appl	PROPN
ejpam-6698	182	4	.	.	PROPN
ejpam-6698	182	5	math	math	PROPN
ejpam-6698	182	6	,	,	PUNCT
ejpam-6698	182	7	18	18	NUM
ejpam-6698	182	8	(	(	PUNCT
ejpam-6698	182	9	3	3	NUM
ejpam-6698	182	10	)	)	PUNCT
ejpam-6698	182	11	(	(	PUNCT
ejpam-6698	182	12	2025	2025	NUM
ejpam-6698	182	13	)	)	PUNCT
ejpam-6698	182	14	,	,	PUNCT
ejpam-6698	182	15	6698	6698	NUM
ejpam-6698	182	16	11	11	NUM
ejpam-6698	182	17	of	of	ADP
ejpam-6698	182	18	25	25	NUM
ejpam-6698	182	19	the	the	DET
ejpam-6698	182	20	corresponding	correspond	VERB
ejpam-6698	182	21	expansion	expansion	NOUN
ejpam-6698	182	22	for	for	ADP
ejpam-6698	182	23	ν(ξ	ν(ξ	PROPN
ejpam-6698	182	24	)	)	PUNCT
ejpam-6698	182	25	is	be	AUX
ejpam-6698	182	26	then	then	ADV
ejpam-6698	182	27	given	give	VERB
ejpam-6698	182	28	by	by	ADP
ejpam-6698	182	29	:	:	PUNCT
ejpam-6698	182	30	ν(ξ	ν(ξ	ADJ
ejpam-6698	182	31	)	)	PUNCT
ejpam-6698	182	32	=	=	SYM
ejpam-6698	182	33	τ1ξ	τ1ξ	NUM
ejpam-6698	183	1	2	2	NUM
ejpam-6698	183	2	+	+	CCONJ
ejpam-6698	183	3	(	(	PUNCT
ejpam-6698	183	4	τ2	τ2	PROPN
ejpam-6698	183	5	−	−	PROPN
ejpam-6698	183	6	τ21	τ21	NOUN
ejpam-6698	183	7	2	2	NUM
ejpam-6698	183	8	)	)	PUNCT
ejpam-6698	183	9	ξ2	ξ2	NOUN
ejpam-6698	183	10	2	2	NUM
ejpam-6698	183	11	+	+	CCONJ
ejpam-6698	183	12	(	(	PUNCT
ejpam-6698	183	13	τ3	τ3	NOUN
ejpam-6698	183	14	−	−	NOUN
ejpam-6698	183	15	τ1τ2	τ1τ2	PUNCT
ejpam-6698	183	16	−	−	PROPN
ejpam-6698	183	17	τ31	τ31	NOUN
ejpam-6698	183	18	4	4	NUM
ejpam-6698	183	19	)	)	PUNCT
ejpam-6698	183	20	ξ3	ξ3	NOUN
ejpam-6698	183	21	2	2	NUM
ejpam-6698	183	22	+	+	CCONJ
ejpam-6698	183	23	·	·	PUNCT
ejpam-6698	183	24	·	·	PUNCT
ejpam-6698	183	25	·	·	PUNCT
ejpam-6698	183	26	.	.	PUNCT
ejpam-6698	184	1	(	(	PUNCT
ejpam-6698	184	2	19	19	NUM
ejpam-6698	184	3	)	)	PUNCT
ejpam-6698	184	4	therefore	therefore	ADV
ejpam-6698	184	5	,	,	PUNCT
ejpam-6698	184	6	the	the	DET
ejpam-6698	184	7	expansion	expansion	NOUN
ejpam-6698	184	8	of	of	ADP
ejpam-6698	184	9	υ(ν(ξ	υ(ν(ξ	PROPN
ejpam-6698	184	10	)	)	PUNCT
ejpam-6698	184	11	;	;	PUNCT
ejpam-6698	185	1	q	q	X
ejpam-6698	185	2	)	)	PUNCT
ejpam-6698	185	3	becomes	become	VERB
ejpam-6698	185	4	:	:	PUNCT
ejpam-6698	185	5	υ(ν(ξ	υ(ν(ξ	ADV
ejpam-6698	185	6	)	)	PUNCT
ejpam-6698	185	7	;	;	PUNCT
ejpam-6698	185	8	q	q	X
ejpam-6698	185	9	)	)	PUNCT
ejpam-6698	185	10	=	=	SYM
ejpam-6698	185	11	1	1	NUM
ejpam-6698	185	12	+	+	CCONJ
ejpam-6698	185	13	p1τ1	p1τ1	PROPN
ejpam-6698	185	14	2	2	NUM
ejpam-6698	185	15	ξ	ξ	NOUN
ejpam-6698	185	16	+	+	NOUN
ejpam-6698	185	17	1	1	NUM
ejpam-6698	185	18	2	2	NUM
ejpam-6698	185	19	[	[	X
ejpam-6698	185	20	(	(	PUNCT
ejpam-6698	185	21	τ2	τ2	PROPN
ejpam-6698	185	22	−	−	PROPN
ejpam-6698	185	23	τ21	τ21	NOUN
ejpam-6698	185	24	2	2	X
ejpam-6698	185	25	)	)	PUNCT
ejpam-6698	185	26	p1	p1	NOUN
ejpam-6698	185	27	+	+	CCONJ
ejpam-6698	185	28	τ21	τ21	PROPN
ejpam-6698	185	29	2	2	NUM
ejpam-6698	185	30	p2	p2	NOUN
ejpam-6698	185	31	]	]	PUNCT
ejpam-6698	185	32	ξ2	ξ2	NOUN
ejpam-6698	186	1	+	+	CCONJ
ejpam-6698	186	2	1	1	NUM
ejpam-6698	186	3	2	2	NUM
ejpam-6698	186	4	[	[	X
ejpam-6698	186	5	(	(	PUNCT
ejpam-6698	186	6	τ3	τ3	NOUN
ejpam-6698	186	7	−	−	NOUN
ejpam-6698	186	8	τ1τ2	τ1τ2	X
ejpam-6698	186	9	+	+	NUM
ejpam-6698	186	10	τ31	τ31	NOUN
ejpam-6698	186	11	4	4	NUM
ejpam-6698	186	12	)	)	PUNCT
ejpam-6698	186	13	ϑq	ϑq	ADP
ejpam-6698	186	14	+	+	CCONJ
ejpam-6698	186	15	τ1	τ1	ADP
ejpam-6698	186	16	(	(	PUNCT
ejpam-6698	186	17	τ2	τ2	NOUN
ejpam-6698	186	18	−	−	PROPN
ejpam-6698	186	19	(	(	PUNCT
ejpam-6698	186	20	1	1	NUM
ejpam-6698	186	21	+	+	NUM
ejpam-6698	186	22	2q)ϑ2qτ	2q)ϑ2qτ	NUM
ejpam-6698	186	23	2	2	NUM
ejpam-6698	186	24	1	1	NUM
ejpam-6698	186	25	2	2	NUM
ejpam-6698	186	26	)	)	PUNCT
ejpam-6698	187	1	+	+	CCONJ
ejpam-6698	187	2	(	(	PUNCT
ejpam-6698	187	3	1	1	NUM
ejpam-6698	187	4	+	+	CCONJ
ejpam-6698	187	5	3q)ϑ3qτ	3q)ϑ3qτ	NUM
ejpam-6698	187	6	3	3	NUM
ejpam-6698	187	7	1	1	NUM
ejpam-6698	187	8	4	4	NUM
ejpam-6698	187	9	]	]	PUNCT
ejpam-6698	187	10	ξ3	ξ3	PROPN
ejpam-6698	187	11	+	+	PROPN
ejpam-6698	187	12	·	·	PUNCT
ejpam-6698	187	13	·	·	PUNCT
ejpam-6698	187	14	·	·	PUNCT
ejpam-6698	187	15	.	.	PUNCT
ejpam-6698	188	1	(	(	PUNCT
ejpam-6698	188	2	20	20	X
ejpam-6698	188	3	)	)	PUNCT
ejpam-6698	188	4	having	having	AUX
ejpam-6698	188	5	established	establish	VERB
ejpam-6698	188	6	the	the	DET
ejpam-6698	188	7	necessary	necessary	ADJ
ejpam-6698	188	8	groundwork	groundwork	NOUN
ejpam-6698	188	9	and	and	CCONJ
ejpam-6698	188	10	auxiliary	auxiliary	ADJ
ejpam-6698	188	11	results	result	NOUN
ejpam-6698	188	12	,	,	PUNCT
ejpam-6698	188	13	we	we	PRON
ejpam-6698	188	14	are	be	AUX
ejpam-6698	188	15	now	now	ADV
ejpam-6698	188	16	in	in	ADP
ejpam-6698	188	17	a	a	DET
ejpam-6698	188	18	position	position	NOUN
ejpam-6698	188	19	to	to	PART
ejpam-6698	188	20	derive	derive	VERB
ejpam-6698	188	21	bounds	bound	NOUN
ejpam-6698	188	22	for	for	ADP
ejpam-6698	188	23	the	the	DET
ejpam-6698	188	24	initial	initial	ADJ
ejpam-6698	188	25	coefficients	coefficient	NOUN
ejpam-6698	188	26	of	of	ADP
ejpam-6698	188	27	functions	function	NOUN
ejpam-6698	188	28	belonging	belong	VERB
ejpam-6698	188	29	to	to	ADP
ejpam-6698	188	30	the	the	DET
ejpam-6698	188	31	newly	newly	ADV
ejpam-6698	188	32	introduced	introduce	VERB
ejpam-6698	188	33	class	class	NOUN
ejpam-6698	188	34	bς(µ	bς(µ	NOUN
ejpam-6698	188	35	;	;	PUNCT
ejpam-6698	188	36	q	q	X
ejpam-6698	188	37	)	)	PUNCT
ejpam-6698	188	38	.	.	PUNCT
ejpam-6698	189	1	these	these	DET
ejpam-6698	189	2	estimates	estimate	NOUN
ejpam-6698	189	3	not	not	PART
ejpam-6698	189	4	only	only	ADV
ejpam-6698	189	5	offer	offer	VERB
ejpam-6698	189	6	insights	insight	NOUN
ejpam-6698	189	7	into	into	ADP
ejpam-6698	189	8	the	the	DET
ejpam-6698	189	9	geometric	geometric	ADJ
ejpam-6698	189	10	behavior	behavior	NOUN
ejpam-6698	189	11	of	of	ADP
ejpam-6698	189	12	such	such	ADJ
ejpam-6698	189	13	bi	bi	ADJ
ejpam-6698	189	14	-	-	ADJ
ejpam-6698	189	15	univalent	univalent	ADJ
ejpam-6698	189	16	functions	function	NOUN
ejpam-6698	189	17	,	,	PUNCT
ejpam-6698	189	18	but	but	CCONJ
ejpam-6698	189	19	also	also	ADV
ejpam-6698	189	20	highlight	highlight	VERB
ejpam-6698	189	21	the	the	DET
ejpam-6698	189	22	influence	influence	NOUN
ejpam-6698	189	23	of	of	ADP
ejpam-6698	189	24	the	the	DET
ejpam-6698	189	25	deformation	deformation	NOUN
ejpam-6698	189	26	parameter	parameter	NOUN
ejpam-6698	189	27	q	q	PROPN
ejpam-6698	189	28	and	and	CCONJ
ejpam-6698	189	29	the	the	DET
ejpam-6698	189	30	parameter	parameter	NOUN
ejpam-6698	189	31	β	β	PROPN
ejpam-6698	189	32	on	on	ADP
ejpam-6698	189	33	the	the	DET
ejpam-6698	189	34	coefficient	coefficient	NOUN
ejpam-6698	189	35	structure	structure	NOUN
ejpam-6698	189	36	.	.	PUNCT
ejpam-6698	190	1	the	the	DET
ejpam-6698	190	2	following	follow	VERB
ejpam-6698	190	3	theorem	theorem	ADJ
ejpam-6698	190	4	presents	present	NOUN
ejpam-6698	190	5	sharp	sharp	ADJ
ejpam-6698	190	6	bounds	bound	NOUN
ejpam-6698	190	7	for	for	ADP
ejpam-6698	190	8	the	the	DET
ejpam-6698	190	9	second	second	ADJ
ejpam-6698	190	10	and	and	CCONJ
ejpam-6698	190	11	third	third	ADJ
ejpam-6698	190	12	coefficients	coefficient	NOUN
ejpam-6698	190	13	,	,	PUNCT
ejpam-6698	190	14	|a2|	|a2|	NOUN
ejpam-6698	190	15	and	and	CCONJ
ejpam-6698	190	16	|a3|	|a3|	NOUN
ejpam-6698	190	17	,	,	PUNCT
ejpam-6698	190	18	respectively	respectively	ADV
ejpam-6698	190	19	.	.	PUNCT
ejpam-6698	190	20	to	to	PART
ejpam-6698	190	21	proceed	proceed	VERB
ejpam-6698	190	22	,	,	PUNCT
ejpam-6698	190	23	we	we	PRON
ejpam-6698	190	24	first	first	ADV
ejpam-6698	190	25	introduce	introduce	VERB
ejpam-6698	190	26	the	the	DET
ejpam-6698	190	27	following	follow	VERB
ejpam-6698	190	28	lemma	lemma	PROPN
ejpam-6698	190	29	,	,	PUNCT
ejpam-6698	190	30	which	which	PRON
ejpam-6698	190	31	plays	play	VERB
ejpam-6698	190	32	a	a	DET
ejpam-6698	190	33	fundamental	fundamental	ADJ
ejpam-6698	190	34	role	role	NOUN
ejpam-6698	190	35	in	in	ADP
ejpam-6698	190	36	the	the	DET
ejpam-6698	190	37	theoretical	theoretical	ADJ
ejpam-6698	190	38	analysis	analysis	NOUN
ejpam-6698	190	39	that	that	PRON
ejpam-6698	190	40	follows	follow	VERB
ejpam-6698	190	41	.	.	PUNCT
ejpam-6698	191	1	lemma	lemma	PROPN
ejpam-6698	191	2	1	1	NUM
ejpam-6698	191	3	.	.	PUNCT
ejpam-6698	192	1	[	[	X
ejpam-6698	192	2	34	34	NUM
ejpam-6698	192	3	]	]	PUNCT
ejpam-6698	192	4	if	if	SCONJ
ejpam-6698	192	5	the	the	DET
ejpam-6698	192	6	function	function	NOUN
ejpam-6698	192	7	r	r	NOUN
ejpam-6698	192	8	∈	∈	PROPN
ejpam-6698	192	9	p	p	NOUN
ejpam-6698	192	10	is	be	AUX
ejpam-6698	192	11	given	give	VERB
ejpam-6698	192	12	by	by	ADP
ejpam-6698	192	13	the	the	DET
ejpam-6698	192	14	series	series	PROPN
ejpam-6698	192	15	r(z	r(z	PROPN
ejpam-6698	192	16	)	)	PUNCT
ejpam-6698	192	17	=	=	SYM
ejpam-6698	193	1	1	1	NUM
ejpam-6698	193	2	+	+	CCONJ
ejpam-6698	193	3	ℓ1z	ℓ1z	PROPN
ejpam-6698	193	4	+	+	CCONJ
ejpam-6698	193	5	ℓ2z	ℓ2z	NUM
ejpam-6698	193	6	2	2	NUM
ejpam-6698	193	7	+	+	NUM
ejpam-6698	193	8	ℓ3z	ℓ3z	NOUN
ejpam-6698	193	9	3	3	NUM
ejpam-6698	193	10	+	+	CCONJ
ejpam-6698	193	11	.	.	PUNCT
ejpam-6698	193	12	.	.	PUNCT
ejpam-6698	193	13	.	.	PUNCT
ejpam-6698	194	1	,	,	PUNCT
ejpam-6698	194	2	then	then	ADV
ejpam-6698	194	3	the	the	DET
ejpam-6698	194	4	following	follow	VERB
ejpam-6698	194	5	coefficient	coefficient	NOUN
ejpam-6698	194	6	estimates	estimate	NOUN
ejpam-6698	194	7	hold	hold	VERB
ejpam-6698	194	8	:	:	PUNCT
ejpam-6698	194	9	2ℓ2	2ℓ2	NUM
ejpam-6698	194	10	=	=	SYM
ejpam-6698	195	1	ℓ21	ℓ21	VERB
ejpam-6698	196	1	+	+	CCONJ
ejpam-6698	196	2	x(4	x(4	PROPN
ejpam-6698	197	1	−	−	PROPN
ejpam-6698	197	2	ℓ21	ℓ21	PROPN
ejpam-6698	197	3	)	)	PUNCT
ejpam-6698	197	4	,	,	PUNCT
ejpam-6698	197	5	4ℓ3	4ℓ3	NUM
ejpam-6698	197	6	=	=	PUNCT
ejpam-6698	197	7	ℓ31	ℓ31	VERB
ejpam-6698	197	8	+	+	CCONJ
ejpam-6698	197	9	2ℓ1(4	2ℓ1(4	NUM
ejpam-6698	197	10	−	−	NOUN
ejpam-6698	197	11	ℓ21)x−	ℓ21)x−	NOUN
ejpam-6698	197	12	ℓ1(4	ℓ1(4	X
ejpam-6698	197	13	−	−	PROPN
ejpam-6698	197	14	ℓ21)x	ℓ21)x	NOUN
ejpam-6698	197	15	2	2	NUM
ejpam-6698	197	16	+	+	SYM
ejpam-6698	197	17	2(4	2(4	NUM
ejpam-6698	197	18	−	−	NOUN
ejpam-6698	197	19	ℓ21)(1	ℓ21)(1	NOUN
ejpam-6698	198	1	−	−	PROPN
ejpam-6698	199	1	|x|2)z	|x|2)z	NOUN
ejpam-6698	199	2	,	,	PUNCT
ejpam-6698	199	3	for	for	ADP
ejpam-6698	199	4	some	some	DET
ejpam-6698	199	5	x	x	NOUN
ejpam-6698	199	6	,	,	PUNCT
ejpam-6698	199	7	z	z	PROPN
ejpam-6698	199	8	∈	∈	PROPN
ejpam-6698	199	9	c	c	NOUN
ejpam-6698	199	10	with	with	ADP
ejpam-6698	199	11	max{|x|	max{|x|	NOUN
ejpam-6698	199	12	,	,	PUNCT
ejpam-6698	199	13	|z|	|z|	NOUN
ejpam-6698	199	14	}	}	PUNCT
ejpam-6698	199	15	≤	≤	NUM
ejpam-6698	199	16	1	1	NUM
ejpam-6698	199	17	.	.	PUNCT
ejpam-6698	200	1	theorem	theorem	NOUN
ejpam-6698	200	2	1	1	NUM
ejpam-6698	200	3	.	.	X
ejpam-6698	200	4	for	for	ADP
ejpam-6698	200	5	µ	µ	PRON
ejpam-6698	200	6	∈	∈	PROPN
ejpam-6698	200	7	r+	r+	NOUN
ejpam-6698	200	8	∪	∪	X
ejpam-6698	200	9	{	{	PUNCT
ejpam-6698	200	10	0	0	NUM
ejpam-6698	200	11	}	}	PUNCT
ejpam-6698	200	12	,	,	PUNCT
ejpam-6698	200	13	let	let	VERB
ejpam-6698	200	14	f	f	PROPN
ejpam-6698	200	15	∈	∈	PROPN
ejpam-6698	200	16	bς(µ	bς(µ	NUM
ejpam-6698	200	17	;	;	PUNCT
ejpam-6698	200	18	q	q	X
ejpam-6698	200	19	)	)	PUNCT
ejpam-6698	200	20	.	.	PUNCT
ejpam-6698	201	1	then	then	ADV
ejpam-6698	201	2	∣∣a2∣∣	∣∣a2∣∣	VERB
ejpam-6698	201	3	≤	≤	NUM
ejpam-6698	201	4	min	min	NOUN
ejpam-6698	201	5			PUNCT
ejpam-6698	201	6	|ϑq|	|ϑq|	VERB
ejpam-6698	201	7	µ+	µ+	PRON
ejpam-6698	201	8	q	q	X
ejpam-6698	201	9	,	,	PUNCT
ejpam-6698	201	10	√	√	NUM
ejpam-6698	201	11	2ϑ2q	2ϑ2q	NUM
ejpam-6698	202	1	ψ(q	ψ(q	NOUN
ejpam-6698	202	2	,	,	PUNCT
ejpam-6698	202	3	µ	µ	NOUN
ejpam-6698	202	4	)	)	PUNCT
ejpam-6698	202	5			NOUN
ejpam-6698	202	6	(	(	PUNCT
ejpam-6698	202	7	21	21	NUM
ejpam-6698	202	8	)	)	PUNCT
ejpam-6698	202	9	∣∣a3∣∣	∣∣a3∣∣	PROPN
ejpam-6698	202	10	≤	≤	ADJ
ejpam-6698	202	11	min	min	NOUN
ejpam-6698	202	12	{	{	PUNCT
ejpam-6698	202	13	ϑ2q	ϑ2q	X
ejpam-6698	202	14	(	(	PUNCT
ejpam-6698	202	15	µ+	µ+	PRON
ejpam-6698	202	16	q)2	q)2	PROPN
ejpam-6698	202	17	+	+	CCONJ
ejpam-6698	202	18	|ϑq|	|ϑq|	PROPN
ejpam-6698	202	19	µ+	µ+	DET
ejpam-6698	202	20	q2	q2	NOUN
ejpam-6698	202	21	+	+	CCONJ
ejpam-6698	202	22	q	q	NOUN
ejpam-6698	202	23	,	,	PUNCT
ejpam-6698	202	24	2ϑ2q	2ϑ2q	NUM
ejpam-6698	202	25	ψ(q	ψ(q	NOUN
ejpam-6698	202	26	,	,	PUNCT
ejpam-6698	202	27	µ	µ	NOUN
ejpam-6698	202	28	)	)	PUNCT
ejpam-6698	202	29	+	+	CCONJ
ejpam-6698	202	30	|ϑq|	|ϑq|	VERB
ejpam-6698	202	31	µ+	µ+	DET
ejpam-6698	202	32	q2	q2	NOUN
ejpam-6698	202	33	+	+	CCONJ
ejpam-6698	202	34	q	q	PROPN
ejpam-6698	202	35	}	}	PUNCT
ejpam-6698	202	36	,	,	PUNCT
ejpam-6698	202	37	(	(	PUNCT
ejpam-6698	202	38	22	22	NUM
ejpam-6698	202	39	)	)	PUNCT
ejpam-6698	203	1	where	where	SCONJ
ejpam-6698	203	2	ψ(q	ψ(q	PROPN
ejpam-6698	203	3	,	,	PUNCT
ejpam-6698	203	4	µ	µ	NOUN
ejpam-6698	203	5	)	)	PUNCT
ejpam-6698	203	6	=	=	SYM
ejpam-6698	203	7	2(µ+	2(µ+	NUM
ejpam-6698	203	8	q)2	q)2	PROPN
ejpam-6698	203	9	(	(	PUNCT
ejpam-6698	203	10	(	(	PUNCT
ejpam-6698	203	11	1	1	NUM
ejpam-6698	203	12	+	+	NUM
ejpam-6698	203	13	2q)ϑq	2q)ϑq	NUM
ejpam-6698	203	14	−	−	NOUN
ejpam-6698	203	15	1	1	NUM
ejpam-6698	203	16	)	)	PUNCT
ejpam-6698	203	17	+	+	CCONJ
ejpam-6698	203	18	ϑq	ϑq	INTJ
ejpam-6698	203	19	(	(	PUNCT
ejpam-6698	203	20	2q2	2q2	NUM
ejpam-6698	203	21	+	+	CCONJ
ejpam-6698	203	22	(	(	PUNCT
ejpam-6698	203	23	2q	2q	NOUN
ejpam-6698	203	24	+	+	X
ejpam-6698	203	25	1)µ+	1)µ+	NUM
ejpam-6698	203	26	µ2	µ2	PROPN
ejpam-6698	203	27	)	)	PUNCT
ejpam-6698	203	28	.	.	PUNCT
ejpam-6698	204	1	(	(	PUNCT
ejpam-6698	204	2	23	23	NUM
ejpam-6698	204	3	)	)	PUNCT
ejpam-6698	204	4	a.	a.	NOUN
ejpam-6698	204	5	alsoboh	alsoboh	PROPN
ejpam-6698	204	6	et	et	PROPN
ejpam-6698	204	7	al	al	PROPN
ejpam-6698	204	8	.	.	PUNCT
ejpam-6698	204	9	/	/	SYM
ejpam-6698	204	10	eur	eur	PROPN
ejpam-6698	204	11	.	.	PUNCT
ejpam-6698	205	1	j.	j.	PROPN
ejpam-6698	205	2	pure	pure	PROPN
ejpam-6698	205	3	appl	appl	PROPN
ejpam-6698	205	4	.	.	PROPN
ejpam-6698	205	5	math	math	PROPN
ejpam-6698	205	6	,	,	PUNCT
ejpam-6698	205	7	18	18	NUM
ejpam-6698	205	8	(	(	PUNCT
ejpam-6698	205	9	3	3	NUM
ejpam-6698	205	10	)	)	PUNCT
ejpam-6698	205	11	(	(	PUNCT
ejpam-6698	205	12	2025	2025	NUM
ejpam-6698	205	13	)	)	PUNCT
ejpam-6698	205	14	,	,	PUNCT
ejpam-6698	205	15	6698	6698	NUM
ejpam-6698	205	16	12	12	NUM
ejpam-6698	205	17	of	of	ADP
ejpam-6698	205	18	25	25	NUM
ejpam-6698	205	19	proof	proof	NOUN
ejpam-6698	205	20	.	.	PUNCT
ejpam-6698	206	1	let	let	VERB
ejpam-6698	206	2	f	f	PROPN
ejpam-6698	206	3	∈	∈	PROPN
ejpam-6698	206	4	bς(µ	bς(µ	NUM
ejpam-6698	206	5	;	;	PUNCT
ejpam-6698	206	6	q	q	X
ejpam-6698	206	7	)	)	PUNCT
ejpam-6698	206	8	and	and	CCONJ
ejpam-6698	206	9	ξ	ξ	X
ejpam-6698	206	10	=	=	SYM
ejpam-6698	206	11	f−1	f−1	PROPN
ejpam-6698	206	12	.	.	PUNCT
ejpam-6698	207	1	considering	consider	VERB
ejpam-6698	207	2	(	(	PUNCT
ejpam-6698	207	3	13	13	NUM
ejpam-6698	207	4	)	)	PUNCT
ejpam-6698	207	5	and	and	CCONJ
ejpam-6698	207	6	(	(	PUNCT
ejpam-6698	207	7	14	14	NUM
ejpam-6698	207	8	)	)	PUNCT
ejpam-6698	207	9	we	we	PRON
ejpam-6698	207	10	have	have	VERB
ejpam-6698	207	11	z1−µ	z1−µ	PROPN
ejpam-6698	207	12	ðq⟨f(z)⟩	ðq⟨f(z)⟩	PROPN
ejpam-6698	207	13	(	(	PUNCT
ejpam-6698	207	14	f(z	f(z	PROPN
ejpam-6698	207	15	)	)	PUNCT
ejpam-6698	207	16	)	)	PUNCT
ejpam-6698	207	17	1−µ	1−µ	X
ejpam-6698	208	1	=	=	SYM
ejpam-6698	208	2	υ(φ(z	υ(φ(z	PROPN
ejpam-6698	208	3	)	)	PUNCT
ejpam-6698	208	4	;	;	PUNCT
ejpam-6698	208	5	q	q	X
ejpam-6698	208	6	)	)	PUNCT
ejpam-6698	208	7	,	,	PUNCT
ejpam-6698	208	8	(	(	PUNCT
ejpam-6698	208	9	z	z	NOUN
ejpam-6698	208	10	∈	∈	PROPN
ejpam-6698	208	11	d	d	NOUN
ejpam-6698	208	12	)	)	PUNCT
ejpam-6698	208	13	,	,	PUNCT
ejpam-6698	208	14	(	(	PUNCT
ejpam-6698	208	15	24	24	NUM
ejpam-6698	208	16	)	)	PUNCT
ejpam-6698	208	17	and	and	CCONJ
ejpam-6698	208	18	ξ1−µ	ξ1−µ	PROPN
ejpam-6698	208	19	ðq⟨χ(ξ)⟩	ðq⟨χ(ξ)⟩	PROPN
ejpam-6698	208	20	(	(	PUNCT
ejpam-6698	208	21	χ(ξ	χ(ξ	NOUN
ejpam-6698	208	22	)	)	PUNCT
ejpam-6698	208	23	)	)	PUNCT
ejpam-6698	208	24	1−µ	1−µ	X
ejpam-6698	209	1	=	=	SYM
ejpam-6698	209	2	υ(ν(ξ	υ(ν(ξ	NOUN
ejpam-6698	209	3	)	)	PUNCT
ejpam-6698	209	4	;	;	PUNCT
ejpam-6698	209	5	q	q	X
ejpam-6698	209	6	)	)	PUNCT
ejpam-6698	209	7	,	,	PUNCT
ejpam-6698	209	8	(	(	PUNCT
ejpam-6698	209	9	ξ	ξ	PROPN
ejpam-6698	209	10	∈	∈	PROPN
ejpam-6698	209	11	d	d	NOUN
ejpam-6698	209	12	)	)	PUNCT
ejpam-6698	209	13	.	.	PUNCT
ejpam-6698	210	1	(	(	PUNCT
ejpam-6698	210	2	25	25	NUM
ejpam-6698	210	3	)	)	PUNCT
ejpam-6698	210	4	since	since	SCONJ
ejpam-6698	210	5	z1−µ	z1−µ	PROPN
ejpam-6698	210	6	ðq⟨f(z)⟩	ðq⟨f(z)⟩	PROPN
ejpam-6698	210	7	(	(	PUNCT
ejpam-6698	210	8	f(z	f(z	PROPN
ejpam-6698	210	9	)	)	PUNCT
ejpam-6698	210	10	)	)	PUNCT
ejpam-6698	210	11	1−µ	1−µ	X
ejpam-6698	211	1	=	=	SYM
ejpam-6698	211	2	1	1	NUM
ejpam-6698	211	3	+	+	CCONJ
ejpam-6698	211	4	(	(	PUNCT
ejpam-6698	211	5	µ+	µ+	X
ejpam-6698	211	6	q	q	NOUN
ejpam-6698	211	7	)	)	PUNCT
ejpam-6698	211	8	a2z	a2z	NOUN
ejpam-6698	212	1	+	+	PUNCT
ejpam-6698	212	2	[	[	X
ejpam-6698	212	3	(	(	PUNCT
ejpam-6698	212	4	µ+	µ+	X
ejpam-6698	212	5	q⌈2⌋q	q⌈2⌋q	INTJ
ejpam-6698	212	6	)	)	PUNCT
ejpam-6698	212	7	a3	a3	NOUN
ejpam-6698	212	8	+	+	CCONJ
ejpam-6698	212	9	1	1	NUM
ejpam-6698	212	10	2	2	NUM
ejpam-6698	212	11	(	(	PUNCT
ejpam-6698	212	12	(	(	PUNCT
ejpam-6698	212	13	−2q⌈2⌋q	−2q⌈2⌋q	ADV
ejpam-6698	212	14	−	−	NOUN
ejpam-6698	212	15	3	3	NUM
ejpam-6698	212	16	)	)	PUNCT
ejpam-6698	212	17	µ+	µ+	DET
ejpam-6698	212	18	µ2	µ2	PROPN
ejpam-6698	212	19	)	)	PUNCT
ejpam-6698	212	20	a22	a22	PROPN
ejpam-6698	212	21	]	]	PUNCT
ejpam-6698	212	22	z2	z2	PROPN
ejpam-6698	212	23	·	·	PUNCT
ejpam-6698	212	24	·	·	PUNCT
ejpam-6698	212	25	·	·	PUNCT
ejpam-6698	213	1	+	+	PUNCT
ejpam-6698	213	2	[	[	X
ejpam-6698	213	3	(	(	PUNCT
ejpam-6698	213	4	µ+	µ+	DET
ejpam-6698	213	5	q⌈3⌋q	q⌈3⌋q	NOUN
ejpam-6698	213	6	)	)	PUNCT
ejpam-6698	213	7	a4	a4	NOUN
ejpam-6698	213	8	+	+	CCONJ
ejpam-6698	213	9	(	(	PUNCT
ejpam-6698	213	10	−	−	X
ejpam-6698	213	11	(	(	PUNCT
ejpam-6698	213	12	⌈3⌋q	⌈3⌋q	NUM
ejpam-6698	213	13	+	+	CCONJ
ejpam-6698	213	14	⌈2⌋q	⌈2⌋q	NUM
ejpam-6698	213	15	−	−	PROPN
ejpam-6698	213	16	2	2	NUM
ejpam-6698	213	17	)	)	PUNCT
ejpam-6698	213	18	+	+	CCONJ
ejpam-6698	213	19	(	(	PUNCT
ejpam-6698	213	20	⌈3⌋q	⌈3⌋q	NUM
ejpam-6698	213	21	+	+	CCONJ
ejpam-6698	213	22	⌈2⌋q	⌈2⌋q	NUM
ejpam-6698	213	23	−	−	PROPN
ejpam-6698	214	1	3)µ+	3)µ+	NUM
ejpam-6698	214	2	µ2	µ2	PROPN
ejpam-6698	214	3	)	)	PUNCT
ejpam-6698	214	4	a2a3	a2a3	VERB
ejpam-6698	215	1	+	+	NUM
ejpam-6698	215	2	1	1	NUM
ejpam-6698	215	3	6	6	NUM
ejpam-6698	215	4	(	(	PUNCT
ejpam-6698	215	5	6q	6q	NOUN
ejpam-6698	215	6	+	+	CCONJ
ejpam-6698	215	7	(	(	PUNCT
ejpam-6698	215	8	11	11	NUM
ejpam-6698	215	9	−	−	PROPN
ejpam-6698	215	10	9⌈2⌋q)µ+	9⌈2⌋q)µ+	NUM
ejpam-6698	215	11	3(⌈2⌋q	3(⌈2⌋q	NUM
ejpam-6698	215	12	−	−	NUM
ejpam-6698	215	13	2)µ2	2)µ2	PROPN
ejpam-6698	215	14	+	+	CCONJ
ejpam-6698	215	15	µ3	µ3	NOUN
ejpam-6698	215	16	)	)	PUNCT
ejpam-6698	215	17	a32	a32	PROPN
ejpam-6698	215	18	]	]	PUNCT
ejpam-6698	215	19	z3	z3	PROPN
ejpam-6698	215	20	+	+	CCONJ
ejpam-6698	215	21	·	·	PUNCT
ejpam-6698	215	22	·	·	PUNCT
ejpam-6698	215	23	·	·	PUNCT
ejpam-6698	215	24	,	,	PUNCT
ejpam-6698	215	25	(	(	PUNCT
ejpam-6698	215	26	26	26	NUM
ejpam-6698	215	27	)	)	PUNCT
ejpam-6698	215	28	and	and	CCONJ
ejpam-6698	215	29	ξ1−µ	ξ1−µ	PROPN
ejpam-6698	215	30	ðq⟨χ(ξ)⟩	ðq⟨χ(ξ)⟩	PROPN
ejpam-6698	215	31	(	(	PUNCT
ejpam-6698	215	32	χ(ξ	χ(ξ	NOUN
ejpam-6698	215	33	)	)	PUNCT
ejpam-6698	215	34	)	)	PUNCT
ejpam-6698	215	35	1−µ	1−µ	X
ejpam-6698	216	1	=	=	SYM
ejpam-6698	216	2	1	1	NUM
ejpam-6698	216	3	−	−	PROPN
ejpam-6698	216	4	(	(	PUNCT
ejpam-6698	216	5	µ+	µ+	VERB
ejpam-6698	216	6	q)a2ξ	q)a2ξ	NOUN
ejpam-6698	216	7	+	+	X
ejpam-6698	216	8	[	[	PUNCT
ejpam-6698	216	9	1	1	NUM
ejpam-6698	216	10	2	2	NUM
ejpam-6698	216	11	(	(	PUNCT
ejpam-6698	216	12	−2(⌈2⌋q	−2(⌈2⌋q	NUM
ejpam-6698	216	13	−	−	PROPN
ejpam-6698	216	14	2⌈3⌋q	2⌈3⌋q	NUM
ejpam-6698	216	15	+	+	CCONJ
ejpam-6698	216	16	1	1	NUM
ejpam-6698	216	17	)	)	PUNCT
ejpam-6698	216	18	+	+	CCONJ
ejpam-6698	216	19	(	(	PUNCT
ejpam-6698	216	20	2⌈2⌋q	2⌈2⌋q	NUM
ejpam-6698	216	21	+	+	SYM
ejpam-6698	216	22	1)µ+	1)µ+	NUM
ejpam-6698	216	23	µ2	µ2	PROPN
ejpam-6698	216	24	)	)	PUNCT
ejpam-6698	216	25	a22	a22	PROPN
ejpam-6698	216	26	−	−	PROPN
ejpam-6698	216	27	(	(	PUNCT
ejpam-6698	216	28	µ+	µ+	X
ejpam-6698	216	29	⌈3⌋q	⌈3⌋q	NUM
ejpam-6698	216	30	−	−	PROPN
ejpam-6698	216	31	1)a3	1)a3	NUM
ejpam-6698	216	32	]	]	PUNCT
ejpam-6698	216	33	ξ2	ξ2	NOUN
ejpam-6698	217	1	+	+	CCONJ
ejpam-6698	217	2	[	[	PUNCT
ejpam-6698	217	3	−	−	X
ejpam-6698	217	4	(	(	PUNCT
ejpam-6698	217	5	µ+	µ+	PROPN
ejpam-6698	217	6	⌈4⌋q	⌈4⌋q	ADJ
ejpam-6698	217	7	−	−	NUM
ejpam-6698	217	8	1)a4	1)a4	NUM
ejpam-6698	217	9	+	+	CCONJ
ejpam-6698	217	10	(	(	PUNCT
ejpam-6698	217	11	5⌈4⌋q	5⌈4⌋q	NUM
ejpam-6698	217	12	−	−	PROPN
ejpam-6698	217	13	⌈2⌋q	⌈2⌋q	NUM
ejpam-6698	217	14	−	−	PROPN
ejpam-6698	217	15	⌈3⌋q	⌈3⌋q	NUM
ejpam-6698	217	16	−	−	PROPN
ejpam-6698	217	17	3	3	NUM
ejpam-6698	217	18	+	+	CCONJ
ejpam-6698	217	19	(	(	PUNCT
ejpam-6698	217	20	⌈3⌋q	⌈3⌋q	NUM
ejpam-6698	217	21	+	+	CCONJ
ejpam-6698	217	22	⌈2⌋q	⌈2⌋q	NUM
ejpam-6698	217	23	+	+	CCONJ
ejpam-6698	217	24	2)µ+	2)µ+	NUM
ejpam-6698	217	25	µ2	µ2	PROPN
ejpam-6698	217	26	)	)	PUNCT
ejpam-6698	217	27	a2a3	a2a3	VERB
ejpam-6698	218	1	+	+	NOUN
ejpam-6698	218	2	1	1	NUM
ejpam-6698	218	3	6	6	NUM
ejpam-6698	218	4	(	(	PUNCT
ejpam-6698	218	5	12	12	NUM
ejpam-6698	218	6	−	−	PROPN
ejpam-6698	218	7	30⌈4⌋q	30⌈4⌋q	NUM
ejpam-6698	218	8	+	+	CCONJ
ejpam-6698	218	9	6⌈2⌋q	6⌈2⌋q	NUM
ejpam-6698	218	10	+	+	SYM
ejpam-6698	218	11	12⌈3⌋q	12⌈3⌋q	NUM
ejpam-6698	218	12	+	+	CCONJ
ejpam-6698	218	13	(	(	PUNCT
ejpam-6698	218	14	−5	−5	ADV
ejpam-6698	218	15	−	−	X
ejpam-6698	219	1	3⌈2⌋q	3⌈2⌋q	NUM
ejpam-6698	219	2	−	−	PROPN
ejpam-6698	219	3	12⌈3⌋q)µ	12⌈3⌋q)µ	NUM
ejpam-6698	220	1	+	+	ADJ
ejpam-6698	220	2	(	(	PUNCT
ejpam-6698	220	3	−3⌈2⌋q	−3⌈2⌋q	PRON
ejpam-6698	220	4	−	−	PROPN
ejpam-6698	220	5	6)µ2	6)µ2	NUM
ejpam-6698	220	6	−	−	PROPN
ejpam-6698	220	7	µ3	µ3	PROPN
ejpam-6698	220	8	)	)	PUNCT
ejpam-6698	220	9	a32	a32	PROPN
ejpam-6698	220	10	]	]	X
ejpam-6698	220	11	ξ3	ξ3	PROPN
ejpam-6698	220	12	+	+	PROPN
ejpam-6698	220	13	·	·	PUNCT
ejpam-6698	220	14	·	·	PUNCT
ejpam-6698	220	15	·	·	PUNCT
ejpam-6698	220	16	.	.	PUNCT
ejpam-6698	221	1	(	(	PUNCT
ejpam-6698	221	2	27	27	NUM
ejpam-6698	221	3	)	)	PUNCT
ejpam-6698	221	4	it	it	PRON
ejpam-6698	221	5	follows	follow	VERB
ejpam-6698	221	6	from	from	ADP
ejpam-6698	221	7	the	the	DET
ejpam-6698	221	8	equations	equation	NOUN
ejpam-6698	221	9	(	(	PUNCT
ejpam-6698	221	10	24	24	NUM
ejpam-6698	221	11	)	)	PUNCT
ejpam-6698	221	12	,	,	PUNCT
ejpam-6698	221	13	(	(	PUNCT
ejpam-6698	221	14	17	17	NUM
ejpam-6698	221	15	)	)	PUNCT
ejpam-6698	221	16	,	,	PUNCT
ejpam-6698	221	17	and	and	CCONJ
ejpam-6698	221	18	(	(	PUNCT
ejpam-6698	221	19	26	26	NUM
ejpam-6698	221	20	)	)	PUNCT
ejpam-6698	222	1	that	that	SCONJ
ejpam-6698	222	2	(	(	PUNCT
ejpam-6698	222	3	µ+	µ+	PROPN
ejpam-6698	222	4	q)a2	q)a2	PROPN
ejpam-6698	222	5	=	=	PUNCT
ejpam-6698	222	6	ϑqℓ1	ϑqℓ1	PROPN
ejpam-6698	222	7	2	2	NUM
ejpam-6698	222	8	(	(	PUNCT
ejpam-6698	222	9	28	28	NUM
ejpam-6698	222	10	)	)	PUNCT
ejpam-6698	222	11	(	(	PUNCT
ejpam-6698	222	12	µ+	µ+	X
ejpam-6698	222	13	q⌈2⌋q)a3	q⌈2⌋q)a3	PROPN
ejpam-6698	222	14	+	+	CCONJ
ejpam-6698	222	15	1	1	NUM
ejpam-6698	222	16	2	2	NUM
ejpam-6698	222	17	(	(	PUNCT
ejpam-6698	222	18	−2q	−2q	PROPN
ejpam-6698	222	19	+	+	CCONJ
ejpam-6698	222	20	(	(	PUNCT
ejpam-6698	222	21	2⌈2⌋q	2⌈2⌋q	NUM
ejpam-6698	222	22	−	−	NOUN
ejpam-6698	222	23	3)µ+	3)µ+	NUM
ejpam-6698	222	24	µ2	µ2	PROPN
ejpam-6698	222	25	)	)	PUNCT
ejpam-6698	222	26	a22	a22	PROPN
ejpam-6698	223	1	=	=	NOUN
ejpam-6698	224	1	1	1	NUM
ejpam-6698	224	2	2	2	NUM
ejpam-6698	224	3	[	[	X
ejpam-6698	224	4	(	(	PUNCT
ejpam-6698	224	5	ℓ2	ℓ2	PROPN
ejpam-6698	224	6	−	−	PROPN
ejpam-6698	224	7	ℓ21	ℓ21	NOUN
ejpam-6698	224	8	2	2	NUM
ejpam-6698	224	9	)	)	PUNCT
ejpam-6698	224	10	ϑq	ϑq	VERB
ejpam-6698	224	11	+	+	X
ejpam-6698	224	12	(	(	PUNCT
ejpam-6698	224	13	1	1	NUM
ejpam-6698	224	14	+	+	NUM
ejpam-6698	224	15	2qϑ2q)ℓ	2qϑ2q)ℓ	NUM
ejpam-6698	224	16	2	2	NUM
ejpam-6698	224	17	1	1	NUM
ejpam-6698	224	18	2	2	NUM
ejpam-6698	224	19	]	]	PUNCT
ejpam-6698	224	20	(	(	PUNCT
ejpam-6698	224	21	29	29	NUM
ejpam-6698	224	22	)	)	PUNCT
ejpam-6698	224	23	(	(	PUNCT
ejpam-6698	224	24	µ+	µ+	X
ejpam-6698	224	25	q⌈3⌋q)a4	q⌈3⌋q)a4	NOUN
ejpam-6698	224	26	+	+	CCONJ
ejpam-6698	224	27	(	(	PUNCT
ejpam-6698	224	28	−(⌈3⌋q	−(⌈3⌋q	ADJ
ejpam-6698	224	29	+	+	CCONJ
ejpam-6698	224	30	⌈2⌋q	⌈2⌋q	NUM
ejpam-6698	224	31	−	−	NOUN
ejpam-6698	224	32	2	2	NUM
ejpam-6698	224	33	)	)	PUNCT
ejpam-6698	224	34	+	+	CCONJ
ejpam-6698	225	1	(	(	PUNCT
ejpam-6698	225	2	⌈3⌋q	⌈3⌋q	NUM
ejpam-6698	225	3	+	+	CCONJ
ejpam-6698	225	4	⌈2⌋q	⌈2⌋q	NUM
ejpam-6698	225	5	−	−	PROPN
ejpam-6698	226	1	3)µ+	3)µ+	NUM
ejpam-6698	226	2	µ2	µ2	PROPN
ejpam-6698	226	3	)	)	PUNCT
ejpam-6698	226	4	a2a3	a2a3	VERB
ejpam-6698	227	1	+	+	NOUN
ejpam-6698	227	2	1	1	NUM
ejpam-6698	227	3	6	6	NUM
ejpam-6698	227	4	(	(	PUNCT
ejpam-6698	227	5	6(⌈2⌋q	6(⌈2⌋q	INTJ
ejpam-6698	227	6	−	−	PROPN
ejpam-6698	227	7	1	1	NUM
ejpam-6698	227	8	)	)	PUNCT
ejpam-6698	227	9	+	+	CCONJ
ejpam-6698	227	10	(	(	PUNCT
ejpam-6698	227	11	11	11	NUM
ejpam-6698	227	12	−	−	PROPN
ejpam-6698	227	13	9⌈2⌋q)µ+	9⌈2⌋q)µ+	NUM
ejpam-6698	227	14	3(⌈2⌋q	3(⌈2⌋q	NUM
ejpam-6698	227	15	−	−	NUM
ejpam-6698	227	16	2)µ2	2)µ2	PROPN
ejpam-6698	227	17	+	+	CCONJ
ejpam-6698	227	18	µ3	µ3	NOUN
ejpam-6698	227	19	)	)	PUNCT
ejpam-6698	227	20	a32	a32	PROPN
ejpam-6698	227	21	=	=	SYM
ejpam-6698	227	22	ϑq	ϑq	PROPN
ejpam-6698	227	23	2	2	NUM
ejpam-6698	227	24	(	(	PUNCT
ejpam-6698	227	25	ℓ3	ℓ3	PROPN
ejpam-6698	227	26	−	−	PROPN
ejpam-6698	228	1	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-6698	228	2	+	+	CCONJ
ejpam-6698	228	3	ℓ31	ℓ31	X
ejpam-6698	228	4	4	4	NUM
ejpam-6698	228	5	)	)	PUNCT
ejpam-6698	229	1	+	+	CCONJ
ejpam-6698	229	2	(	(	PUNCT
ejpam-6698	229	3	1	1	NUM
ejpam-6698	229	4	+	+	CCONJ
ejpam-6698	229	5	2q)ϑ2q	2q)ϑ2q	NUM
ejpam-6698	229	6	2	2	NUM
ejpam-6698	229	7	ℓ1	ℓ1	NOUN
ejpam-6698	229	8	(	(	PUNCT
ejpam-6698	229	9	ℓ2	ℓ2	NOUN
ejpam-6698	229	10	−	−	PROPN
ejpam-6698	229	11	ℓ21	ℓ21	NOUN
ejpam-6698	229	12	2	2	NUM
ejpam-6698	229	13	)	)	PUNCT
ejpam-6698	229	14	+	+	CCONJ
ejpam-6698	229	15	(	(	PUNCT
ejpam-6698	229	16	1	1	NUM
ejpam-6698	229	17	+	+	NOUN
ejpam-6698	229	18	3q)ϑ3q	3q)ϑ3q	NUM
ejpam-6698	229	19	8	8	NUM
ejpam-6698	229	20	ℓ31	ℓ31	NOUN
ejpam-6698	229	21	.	.	PUNCT
ejpam-6698	230	1	(	(	PUNCT
ejpam-6698	230	2	30	30	NUM
ejpam-6698	230	3	)	)	PUNCT
ejpam-6698	230	4	a.	a.	NOUN
ejpam-6698	230	5	alsoboh	alsoboh	PROPN
ejpam-6698	230	6	et	et	PROPN
ejpam-6698	230	7	al	al	PROPN
ejpam-6698	230	8	.	.	PUNCT
ejpam-6698	230	9	/	/	SYM
ejpam-6698	230	10	eur	eur	PROPN
ejpam-6698	230	11	.	.	PUNCT
ejpam-6698	231	1	j.	j.	PROPN
ejpam-6698	231	2	pure	pure	PROPN
ejpam-6698	231	3	appl	appl	PROPN
ejpam-6698	231	4	.	.	PROPN
ejpam-6698	231	5	math	math	PROPN
ejpam-6698	231	6	,	,	PUNCT
ejpam-6698	231	7	18	18	NUM
ejpam-6698	231	8	(	(	PUNCT
ejpam-6698	231	9	3	3	NUM
ejpam-6698	231	10	)	)	PUNCT
ejpam-6698	231	11	(	(	PUNCT
ejpam-6698	231	12	2025	2025	NUM
ejpam-6698	231	13	)	)	PUNCT
ejpam-6698	231	14	,	,	PUNCT
ejpam-6698	231	15	6698	6698	NUM
ejpam-6698	231	16	13	13	NUM
ejpam-6698	231	17	of	of	ADP
ejpam-6698	231	18	25	25	NUM
ejpam-6698	231	19	similarly	similarly	ADV
ejpam-6698	231	20	,	,	PUNCT
ejpam-6698	231	21	from	from	ADP
ejpam-6698	231	22	the	the	DET
ejpam-6698	231	23	equations	equation	NOUN
ejpam-6698	231	24	(	(	PUNCT
ejpam-6698	231	25	25	25	NUM
ejpam-6698	231	26	)	)	PUNCT
ejpam-6698	231	27	,	,	PUNCT
ejpam-6698	231	28	(	(	PUNCT
ejpam-6698	231	29	20	20	NUM
ejpam-6698	231	30	)	)	PUNCT
ejpam-6698	231	31	,	,	PUNCT
ejpam-6698	231	32	and	and	CCONJ
ejpam-6698	231	33	(	(	PUNCT
ejpam-6698	231	34	27	27	NUM
ejpam-6698	231	35	)	)	PUNCT
ejpam-6698	231	36	we	we	PRON
ejpam-6698	231	37	obtain	obtain	VERB
ejpam-6698	231	38	:	:	PUNCT
ejpam-6698	231	39	−(µ+	−(µ+	NUM
ejpam-6698	231	40	q)a2	q)a2	NOUN
ejpam-6698	231	41	=	=	PUNCT
ejpam-6698	231	42	ϑq	ϑq	PROPN
ejpam-6698	231	43	2	2	NUM
ejpam-6698	231	44	τ1	τ1	NOUN
ejpam-6698	231	45	,	,	PUNCT
ejpam-6698	231	46	(	(	PUNCT
ejpam-6698	231	47	31	31	NUM
ejpam-6698	231	48	)	)	SYM
ejpam-6698	231	49	1	1	NUM
ejpam-6698	231	50	2	2	NUM
ejpam-6698	231	51	(	(	PUNCT
ejpam-6698	231	52	−2(⌈2⌋q	−2(⌈2⌋q	NUM
ejpam-6698	231	53	−	−	PROPN
ejpam-6698	231	54	2⌈3⌋q	2⌈3⌋q	NUM
ejpam-6698	231	55	+	+	CCONJ
ejpam-6698	231	56	1	1	NUM
ejpam-6698	231	57	)	)	PUNCT
ejpam-6698	231	58	+	+	CCONJ
ejpam-6698	231	59	(	(	PUNCT
ejpam-6698	231	60	2⌈2⌋q	2⌈2⌋q	NUM
ejpam-6698	231	61	+	+	SYM
ejpam-6698	231	62	1)µ+	1)µ+	NUM
ejpam-6698	231	63	µ2	µ2	PROPN
ejpam-6698	231	64	)	)	PUNCT
ejpam-6698	231	65	a22	a22	PROPN
ejpam-6698	231	66	−	−	PROPN
ejpam-6698	231	67	(	(	PUNCT
ejpam-6698	231	68	µ+	µ+	X
ejpam-6698	231	69	q⌈2⌋q)a3	q⌈2⌋q)a3	NOUN
ejpam-6698	231	70	=	=	PUNCT
ejpam-6698	231	71	ϑq	ϑq	PRON
ejpam-6698	231	72	2	2	NUM
ejpam-6698	231	73	(	(	PUNCT
ejpam-6698	231	74	τ2	τ2	NOUN
ejpam-6698	231	75	−	−	PROPN
ejpam-6698	231	76	τ21	τ21	NOUN
ejpam-6698	231	77	2	2	NUM
ejpam-6698	231	78	)	)	PUNCT
ejpam-6698	232	1	+	+	CCONJ
ejpam-6698	232	2	(	(	PUNCT
ejpam-6698	232	3	1	1	NUM
ejpam-6698	232	4	+	+	CCONJ
ejpam-6698	232	5	2q)ϑ2q	2q)ϑ2q	NUM
ejpam-6698	232	6	4	4	NUM
ejpam-6698	232	7	τ21	τ21	NOUN
ejpam-6698	232	8	,	,	PUNCT
ejpam-6698	232	9	(	(	PUNCT
ejpam-6698	232	10	32	32	NUM
ejpam-6698	232	11	)	)	PUNCT
ejpam-6698	232	12	−	−	PROPN
ejpam-6698	232	13	(	(	PUNCT
ejpam-6698	232	14	µ+	µ+	PROPN
ejpam-6698	232	15	q⌈3⌋q)a4	q⌈3⌋q)a4	NOUN
ejpam-6698	232	16	+	+	CCONJ
ejpam-6698	232	17	(	(	PUNCT
ejpam-6698	232	18	5⌈4⌋q	5⌈4⌋q	NUM
ejpam-6698	232	19	−	−	PROPN
ejpam-6698	232	20	⌈2⌋q	⌈2⌋q	NUM
ejpam-6698	232	21	−	−	PROPN
ejpam-6698	232	22	⌈3⌋q	⌈3⌋q	NUM
ejpam-6698	232	23	−	−	PROPN
ejpam-6698	232	24	3	3	NUM
ejpam-6698	232	25	+	+	CCONJ
ejpam-6698	232	26	(	(	PUNCT
ejpam-6698	232	27	⌈3⌋q	⌈3⌋q	NUM
ejpam-6698	232	28	+	+	CCONJ
ejpam-6698	232	29	⌈2⌋q	⌈2⌋q	NUM
ejpam-6698	232	30	+	+	CCONJ
ejpam-6698	232	31	2)µ+	2)µ+	NUM
ejpam-6698	232	32	µ2	µ2	PROPN
ejpam-6698	232	33	)	)	PUNCT
ejpam-6698	232	34	a2a3	a2a3	VERB
ejpam-6698	233	1	+	+	NOUN
ejpam-6698	233	2	1	1	NUM
ejpam-6698	233	3	6	6	NUM
ejpam-6698	233	4	(	(	PUNCT
ejpam-6698	233	5	12	12	NUM
ejpam-6698	233	6	−	−	PROPN
ejpam-6698	233	7	30⌈4⌋q	30⌈4⌋q	NUM
ejpam-6698	233	8	+	+	CCONJ
ejpam-6698	233	9	6⌈2⌋q	6⌈2⌋q	NUM
ejpam-6698	233	10	+	+	SYM
ejpam-6698	233	11	12⌈3⌋q	12⌈3⌋q	NUM
ejpam-6698	233	12	−	−	NOUN
ejpam-6698	233	13	(	(	PUNCT
ejpam-6698	233	14	5	5	NUM
ejpam-6698	233	15	+	+	SYM
ejpam-6698	233	16	3⌈2⌋q	3⌈2⌋q	NUM
ejpam-6698	233	17	+	+	NUM
ejpam-6698	233	18	12⌈3⌋q)µ−	12⌈3⌋q)µ−	NUM
ejpam-6698	233	19	(	(	PUNCT
ejpam-6698	233	20	3⌈2⌋q	3⌈2⌋q	NUM
ejpam-6698	233	21	+	+	NUM
ejpam-6698	233	22	6)µ2	6)µ2	NUM
ejpam-6698	233	23	−	−	PROPN
ejpam-6698	233	24	µ3	µ3	PROPN
ejpam-6698	233	25	)	)	PUNCT
ejpam-6698	233	26	a32	a32	PROPN
ejpam-6698	233	27	=	=	SYM
ejpam-6698	233	28	ϑq	ϑq	PROPN
ejpam-6698	233	29	2	2	NUM
ejpam-6698	233	30	(	(	PUNCT
ejpam-6698	233	31	τ3	τ3	NOUN
ejpam-6698	233	32	−	−	NOUN
ejpam-6698	233	33	τ1τ2	τ1τ2	X
ejpam-6698	233	34	+	+	NUM
ejpam-6698	233	35	τ31	τ31	NOUN
ejpam-6698	233	36	4	4	NUM
ejpam-6698	233	37	)	)	PUNCT
ejpam-6698	234	1	+	+	CCONJ
ejpam-6698	234	2	(	(	PUNCT
ejpam-6698	234	3	1	1	NUM
ejpam-6698	234	4	+	+	CCONJ
ejpam-6698	234	5	2q)ϑ2q	2q)ϑ2q	NUM
ejpam-6698	234	6	2	2	NUM
ejpam-6698	234	7	τ1	τ1	NOUN
ejpam-6698	234	8	(	(	PUNCT
ejpam-6698	234	9	τ2	τ2	PROPN
ejpam-6698	234	10	−	−	PROPN
ejpam-6698	234	11	τ21	τ21	NOUN
ejpam-6698	234	12	2	2	NUM
ejpam-6698	234	13	)	)	PUNCT
ejpam-6698	235	1	+	+	CCONJ
ejpam-6698	235	2	(	(	PUNCT
ejpam-6698	235	3	1	1	NUM
ejpam-6698	235	4	+	+	NOUN
ejpam-6698	235	5	3q)ϑ3q	3q)ϑ3q	NUM
ejpam-6698	235	6	8	8	NUM
ejpam-6698	235	7	τ31	τ31	NOUN
ejpam-6698	235	8	.	.	PUNCT
ejpam-6698	236	1	(	(	PUNCT
ejpam-6698	236	2	33	33	NUM
ejpam-6698	236	3	)	)	PUNCT
ejpam-6698	236	4	from	from	ADP
ejpam-6698	236	5	(	(	PUNCT
ejpam-6698	236	6	28	28	NUM
ejpam-6698	236	7	)	)	PUNCT
ejpam-6698	236	8	and	and	CCONJ
ejpam-6698	236	9	(	(	PUNCT
ejpam-6698	236	10	31	31	NUM
ejpam-6698	236	11	)	)	PUNCT
ejpam-6698	236	12	we	we	PRON
ejpam-6698	236	13	have	have	VERB
ejpam-6698	236	14	:	:	PUNCT
ejpam-6698	236	15	a2	a2	PROPN
ejpam-6698	236	16	=	=	PUNCT
ejpam-6698	236	17	ϑq	ϑq	PROPN
ejpam-6698	236	18	2(µ+	2(µ+	NUM
ejpam-6698	236	19	q	q	NOUN
ejpam-6698	236	20	)	)	PUNCT
ejpam-6698	236	21	ℓ1	ℓ1	NOUN
ejpam-6698	236	22	=	=	PUNCT
ejpam-6698	236	23	−	−	NOUN
ejpam-6698	236	24	ϑq	ϑq	INTJ
ejpam-6698	236	25	2(µ+	2(µ+	NUM
ejpam-6698	236	26	q	q	ADJ
ejpam-6698	236	27	)	)	PUNCT
ejpam-6698	236	28	τ1	τ1	NOUN
ejpam-6698	236	29	,	,	PUNCT
ejpam-6698	236	30	(	(	PUNCT
ejpam-6698	236	31	34	34	NUM
ejpam-6698	236	32	)	)	PUNCT
ejpam-6698	236	33	and	and	CCONJ
ejpam-6698	236	34	this	this	PRON
ejpam-6698	236	35	indicates	indicate	VERB
ejpam-6698	236	36	that	that	SCONJ
ejpam-6698	236	37	ℓ1	ℓ1	NOUN
ejpam-6698	236	38	=	=	PUNCT
ejpam-6698	236	39	−τ1	−τ1	NOUN
ejpam-6698	236	40	.	.	PUNCT
ejpam-6698	237	1	(	(	PUNCT
ejpam-6698	237	2	35	35	NUM
ejpam-6698	237	3	)	)	PUNCT
ejpam-6698	237	4	using	use	VERB
ejpam-6698	237	5	(	(	PUNCT
ejpam-6698	237	6	3	3	NUM
ejpam-6698	237	7	)	)	PUNCT
ejpam-6698	237	8	to	to	ADP
ejpam-6698	237	9	equation	equation	NOUN
ejpam-6698	237	10	(	(	PUNCT
ejpam-6698	237	11	34	34	NUM
ejpam-6698	237	12	)	)	PUNCT
ejpam-6698	237	13	,	,	PUNCT
ejpam-6698	237	14	we	we	PRON
ejpam-6698	237	15	obtain	obtain	VERB
ejpam-6698	237	16	that	that	DET
ejpam-6698	237	17	a2	a2	PROPN
ejpam-6698	237	18	≤	≤	PROPN
ejpam-6698	237	19	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6698	237	20	ϑq	ϑq	VERB
ejpam-6698	237	21	µ+	µ+	PRON
ejpam-6698	237	22	q	q	NOUN
ejpam-6698	237	23	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6698	237	24	=	=	PUNCT
ejpam-6698	237	25	|ϑq|	|ϑq|	VERB
ejpam-6698	237	26	µ+	µ+	PRON
ejpam-6698	237	27	q	q	NOUN
ejpam-6698	237	28	.	.	PUNCT
ejpam-6698	238	1	(	(	PUNCT
ejpam-6698	238	2	36	36	NUM
ejpam-6698	238	3	)	)	PUNCT
ejpam-6698	238	4	the	the	DET
ejpam-6698	238	5	squaring	squaring	NOUN
ejpam-6698	238	6	and	and	CCONJ
ejpam-6698	238	7	addition	addition	NOUN
ejpam-6698	238	8	of	of	ADP
ejpam-6698	238	9	(	(	PUNCT
ejpam-6698	238	10	28	28	NUM
ejpam-6698	238	11	)	)	PUNCT
ejpam-6698	238	12	and	and	CCONJ
ejpam-6698	238	13	(	(	PUNCT
ejpam-6698	238	14	31	31	NUM
ejpam-6698	238	15	)	)	PUNCT
ejpam-6698	238	16	lead	lead	NOUN
ejpam-6698	238	17	to	to	ADP
ejpam-6698	238	18	a22	a22	NOUN
ejpam-6698	238	19	=	=	PUNCT
ejpam-6698	238	20	ϑ2q(ℓ	ϑ2q(ℓ	ADJ
ejpam-6698	238	21	2	2	NUM
ejpam-6698	238	22	1	1	NUM
ejpam-6698	238	23	+	+	CCONJ
ejpam-6698	238	24	τ21	τ21	PROPN
ejpam-6698	238	25	)	)	PUNCT
ejpam-6698	238	26	8(µ+	8(µ+	PROPN
ejpam-6698	238	27	q)2	q)2	PROPN
ejpam-6698	238	28	.	.	PUNCT
ejpam-6698	239	1	(	(	PUNCT
ejpam-6698	239	2	37	37	NUM
ejpam-6698	239	3	)	)	PUNCT
ejpam-6698	239	4	in	in	ADP
ejpam-6698	239	5	addition	addition	NOUN
ejpam-6698	239	6	,	,	PUNCT
ejpam-6698	239	7	the	the	DET
ejpam-6698	239	8	sum	sum	NOUN
ejpam-6698	239	9	of	of	ADP
ejpam-6698	239	10	(	(	PUNCT
ejpam-6698	239	11	29	29	NUM
ejpam-6698	239	12	)	)	PUNCT
ejpam-6698	239	13	and	and	CCONJ
ejpam-6698	239	14	(	(	PUNCT
ejpam-6698	239	15	32	32	NUM
ejpam-6698	239	16	)	)	PUNCT
ejpam-6698	239	17	gives	give	VERB
ejpam-6698	239	18	a22	a22	PROPN
ejpam-6698	239	19	(	(	PUNCT
ejpam-6698	239	20	2(⌈3⌋q	2(⌈3⌋q	ADJ
ejpam-6698	239	21	−	−	NOUN
ejpam-6698	239	22	⌈2⌋q	⌈2⌋q	NUM
ejpam-6698	239	23	)	)	PUNCT
ejpam-6698	240	1	+	+	CCONJ
ejpam-6698	240	2	(	(	PUNCT
ejpam-6698	240	3	2⌈2⌋q	2⌈2⌋q	NUM
ejpam-6698	240	4	−	−	PROPN
ejpam-6698	240	5	1)µ+	1)µ+	NUM
ejpam-6698	240	6	µ2	µ2	PROPN
ejpam-6698	240	7	)	)	PUNCT
ejpam-6698	241	1	=	=	PUNCT
ejpam-6698	241	2	ϑq	ϑq	PRON
ejpam-6698	241	3	2	2	NUM
ejpam-6698	241	4	(	(	PUNCT
ejpam-6698	241	5	ℓ2	ℓ2	NOUN
ejpam-6698	241	6	+	+	CCONJ
ejpam-6698	241	7	τ2	τ2	NOUN
ejpam-6698	241	8	)	)	PUNCT
ejpam-6698	241	9	+	+	CCONJ
ejpam-6698	241	10	(	(	PUNCT
ejpam-6698	241	11	1	1	NUM
ejpam-6698	241	12	+	+	SYM
ejpam-6698	241	13	2q)ϑ2q	2q)ϑ2q	NUM
ejpam-6698	241	14	−	−	NOUN
ejpam-6698	241	15	ϑq	ϑq	INTJ
ejpam-6698	241	16	2	2	NUM
ejpam-6698	241	17	·	·	PUNCT
ejpam-6698	241	18	ℓ	ℓ	NOUN
ejpam-6698	241	19	2	2	NUM
ejpam-6698	241	20	1	1	NUM
ejpam-6698	241	21	+	+	NUM
ejpam-6698	241	22	τ21	τ21	PROPN
ejpam-6698	241	23	2	2	NUM
ejpam-6698	241	24	.	.	PUNCT
ejpam-6698	242	1	from	from	ADP
ejpam-6698	242	2	(	(	PUNCT
ejpam-6698	242	3	37	37	NUM
ejpam-6698	242	4	)	)	PUNCT
ejpam-6698	242	5	,	,	PUNCT
ejpam-6698	242	6	we	we	PRON
ejpam-6698	242	7	get	get	VERB
ejpam-6698	242	8	a22	a22	NOUN
ejpam-6698	242	9	(	(	PUNCT
ejpam-6698	242	10	2(⌈3⌋q	2(⌈3⌋q	ADJ
ejpam-6698	242	11	−	−	NOUN
ejpam-6698	242	12	⌈2⌋q	⌈2⌋q	NUM
ejpam-6698	242	13	)	)	PUNCT
ejpam-6698	243	1	+	+	CCONJ
ejpam-6698	243	2	(	(	PUNCT
ejpam-6698	243	3	2⌈2⌋q	2⌈2⌋q	NUM
ejpam-6698	243	4	−	−	PROPN
ejpam-6698	243	5	1)µ+	1)µ+	NUM
ejpam-6698	243	6	µ2	µ2	PROPN
ejpam-6698	243	7	)	)	PUNCT
ejpam-6698	244	1	=	=	PUNCT
ejpam-6698	244	2	ϑq	ϑq	PRON
ejpam-6698	244	3	2	2	NUM
ejpam-6698	244	4	(	(	PUNCT
ejpam-6698	244	5	ℓ2	ℓ2	NOUN
ejpam-6698	244	6	+	+	CCONJ
ejpam-6698	244	7	τ2	τ2	NOUN
ejpam-6698	244	8	)	)	PUNCT
ejpam-6698	244	9	+	+	CCONJ
ejpam-6698	244	10	(	(	PUNCT
ejpam-6698	244	11	1	1	NUM
ejpam-6698	244	12	+	+	SYM
ejpam-6698	244	13	2q)ϑ2q	2q)ϑ2q	NUM
ejpam-6698	244	14	−	−	NOUN
ejpam-6698	244	15	ϑq	ϑq	INTJ
ejpam-6698	244	16	2	2	NUM
ejpam-6698	244	17	·	·	PUNCT
ejpam-6698	244	18	4(µ+	4(µ+	X
ejpam-6698	245	1	q)2a22	q)2a22	PUNCT
ejpam-6698	245	2	ϑ2q	ϑ2q	NOUN
ejpam-6698	245	3	,	,	PUNCT
ejpam-6698	245	4	which	which	PRON
ejpam-6698	245	5	means	mean	VERB
ejpam-6698	245	6	a22	a22	NOUN
ejpam-6698	245	7	=	=	SYM
ejpam-6698	245	8	(	(	PUNCT
ejpam-6698	245	9	ℓ2	ℓ2	PROPN
ejpam-6698	245	10	+	+	CCONJ
ejpam-6698	245	11	τ2)ϑ	τ2)ϑ	PROPN
ejpam-6698	245	12	2	2	NUM
ejpam-6698	245	13	q	q	NOUN
ejpam-6698	245	14	−4(µ+	−4(µ+	NOUN
ejpam-6698	245	15	q)2	q)2	PROPN
ejpam-6698	245	16	(	(	PUNCT
ejpam-6698	245	17	−1	−1	NOUN
ejpam-6698	245	18	+	+	CCONJ
ejpam-6698	245	19	(	(	PUNCT
ejpam-6698	245	20	1	1	NUM
ejpam-6698	245	21	+	+	NUM
ejpam-6698	245	22	2q)ϑq	2q)ϑq	NUM
ejpam-6698	245	23	)	)	PUNCT
ejpam-6698	246	1	+	+	CCONJ
ejpam-6698	246	2	2ϑq	2ϑq	ADJ
ejpam-6698	246	3	(	(	PUNCT
ejpam-6698	246	4	2(⌈3⌋q	2(⌈3⌋q	ADJ
ejpam-6698	246	5	−	−	NOUN
ejpam-6698	246	6	⌈2⌋q	⌈2⌋q	NUM
ejpam-6698	246	7	)	)	PUNCT
ejpam-6698	247	1	+	+	CCONJ
ejpam-6698	247	2	(	(	PUNCT
ejpam-6698	247	3	2⌈2⌋q	2⌈2⌋q	NUM
ejpam-6698	247	4	−	−	PROPN
ejpam-6698	247	5	1)µ+	1)µ+	NUM
ejpam-6698	247	6	µ2	µ2	PROPN
ejpam-6698	247	7	)	)	PUNCT
ejpam-6698	247	8	.	.	PUNCT
ejpam-6698	248	1	a.	a.	PROPN
ejpam-6698	248	2	alsoboh	alsoboh	PROPN
ejpam-6698	248	3	et	et	PROPN
ejpam-6698	248	4	al	al	PROPN
ejpam-6698	248	5	.	.	PUNCT
ejpam-6698	248	6	/	/	SYM
ejpam-6698	248	7	eur	eur	PROPN
ejpam-6698	248	8	.	.	PUNCT
ejpam-6698	249	1	j.	j.	PROPN
ejpam-6698	249	2	pure	pure	PROPN
ejpam-6698	249	3	appl	appl	PROPN
ejpam-6698	249	4	.	.	PROPN
ejpam-6698	249	5	math	math	PROPN
ejpam-6698	249	6	,	,	PUNCT
ejpam-6698	249	7	18	18	NUM
ejpam-6698	249	8	(	(	PUNCT
ejpam-6698	249	9	3	3	NUM
ejpam-6698	249	10	)	)	PUNCT
ejpam-6698	249	11	(	(	PUNCT
ejpam-6698	249	12	2025	2025	NUM
ejpam-6698	249	13	)	)	PUNCT
ejpam-6698	249	14	,	,	PUNCT
ejpam-6698	249	15	6698	6698	NUM
ejpam-6698	249	16	14	14	NUM
ejpam-6698	249	17	of	of	ADP
ejpam-6698	249	18	25	25	NUM
ejpam-6698	249	19	since	since	SCONJ
ejpam-6698	249	20	⌈2⌋q	⌈2⌋q	PRON
ejpam-6698	249	21	=	=	PUNCT
ejpam-6698	249	22	q	q	X
ejpam-6698	250	1	+	+	NUM
ejpam-6698	250	2	1	1	NUM
ejpam-6698	250	3	and	and	CCONJ
ejpam-6698	250	4	⌈3⌋q	⌈3⌋q	NUM
ejpam-6698	250	5	=	=	SYM
ejpam-6698	250	6	q2	q2	NOUN
ejpam-6698	250	7	+	+	CCONJ
ejpam-6698	250	8	q	q	PROPN
ejpam-6698	251	1	+	+	NUM
ejpam-6698	251	2	1	1	NUM
ejpam-6698	251	3	,	,	PUNCT
ejpam-6698	251	4	then	then	ADV
ejpam-6698	251	5	a22	a22	PROPN
ejpam-6698	251	6	=	=	SYM
ejpam-6698	251	7	(	(	PUNCT
ejpam-6698	251	8	ℓ2	ℓ2	PROPN
ejpam-6698	251	9	+	+	CCONJ
ejpam-6698	251	10	τ2)ϑ	τ2)ϑ	PROPN
ejpam-6698	251	11	2	2	NUM
ejpam-6698	251	12	q	q	SYM
ejpam-6698	251	13	2	2	NUM
ejpam-6698	251	14	[	[	PUNCT
ejpam-6698	251	15	2(µ+	2(µ+	NUM
ejpam-6698	251	16	q)2	q)2	PROPN
ejpam-6698	251	17	(	(	PUNCT
ejpam-6698	251	18	(	(	PUNCT
ejpam-6698	251	19	1	1	NUM
ejpam-6698	251	20	+	+	NUM
ejpam-6698	251	21	2q)ϑq	2q)ϑq	NUM
ejpam-6698	251	22	−	−	NOUN
ejpam-6698	251	23	1	1	NUM
ejpam-6698	251	24	)	)	PUNCT
ejpam-6698	251	25	+	+	CCONJ
ejpam-6698	251	26	ϑq	ϑq	INTJ
ejpam-6698	251	27	(	(	PUNCT
ejpam-6698	251	28	2q2	2q2	NUM
ejpam-6698	251	29	+	+	CCONJ
ejpam-6698	251	30	(	(	PUNCT
ejpam-6698	251	31	2q	2q	NOUN
ejpam-6698	251	32	+	+	X
ejpam-6698	252	1	1)µ+	1)µ+	NUM
ejpam-6698	252	2	µ2	µ2	PROPN
ejpam-6698	252	3	)	)	PUNCT
ejpam-6698	252	4	]	]	PUNCT
ejpam-6698	252	5	.	.	PUNCT
ejpam-6698	253	1	(	(	PUNCT
ejpam-6698	253	2	38	38	NUM
ejpam-6698	253	3	)	)	PUNCT
ejpam-6698	253	4	thus	thus	ADV
ejpam-6698	253	5	,	,	PUNCT
ejpam-6698	253	6	(	(	PUNCT
ejpam-6698	253	7	3	3	X
ejpam-6698	253	8	)	)	PUNCT
ejpam-6698	253	9	implies	imply	VERB
ejpam-6698	253	10	that	that	PRON
ejpam-6698	253	11	|a2|	|a2|	VERB
ejpam-6698	253	12	≤	≤	NOUN
ejpam-6698	253	13	√	√	NUM
ejpam-6698	253	14	2ϑ2q	2ϑ2q	NUM
ejpam-6698	253	15	2(µ+	2(µ+	NUM
ejpam-6698	253	16	q)2	q)2	PROPN
ejpam-6698	253	17	(	(	PUNCT
ejpam-6698	253	18	(	(	PUNCT
ejpam-6698	253	19	1	1	NUM
ejpam-6698	253	20	+	+	NUM
ejpam-6698	253	21	2q)ϑq	2q)ϑq	NUM
ejpam-6698	253	22	−	−	NOUN
ejpam-6698	253	23	1	1	NUM
ejpam-6698	253	24	)	)	PUNCT
ejpam-6698	254	1	+	+	CCONJ
ejpam-6698	254	2	ϑq	ϑq	INTJ
ejpam-6698	254	3	(	(	PUNCT
ejpam-6698	254	4	2q2	2q2	NUM
ejpam-6698	254	5	+	+	CCONJ
ejpam-6698	254	6	(	(	PUNCT
ejpam-6698	254	7	2q	2q	NOUN
ejpam-6698	254	8	+	+	X
ejpam-6698	254	9	1)µ+	1)µ+	NUM
ejpam-6698	254	10	µ2	µ2	PROPN
ejpam-6698	254	11	)	)	PUNCT
ejpam-6698	254	12	.	.	PUNCT
ejpam-6698	255	1	and	and	CCONJ
ejpam-6698	255	2	hence	hence	ADV
ejpam-6698	255	3	,	,	PUNCT
ejpam-6698	255	4	|a2|	|a2|	VERB
ejpam-6698	255	5	≤	≤	NOUN
ejpam-6698	255	6	√	√	NUM
ejpam-6698	255	7	2ϑ2q	2ϑ2q	NUM
ejpam-6698	256	1	ψ(q	ψ(q	NOUN
ejpam-6698	256	2	,	,	PUNCT
ejpam-6698	256	3	µ	µ	NOUN
ejpam-6698	256	4	)	)	PUNCT
ejpam-6698	256	5	,	,	PUNCT
ejpam-6698	256	6	(	(	PUNCT
ejpam-6698	256	7	39	39	NUM
ejpam-6698	256	8	)	)	PUNCT
ejpam-6698	256	9	is	be	AUX
ejpam-6698	256	10	satisfied	satisfied	ADJ
ejpam-6698	256	11	for	for	ADP
ejpam-6698	256	12	all	all	DET
ejpam-6698	256	13	µ	µ	PRON
ejpam-6698	256	14	≥	≥	NOUN
ejpam-6698	256	15	0	0	NUM
ejpam-6698	257	1	(	(	PUNCT
ejpam-6698	257	2	see	see	VERB
ejpam-6698	257	3	figure	figure	NOUN
ejpam-6698	257	4	2	2	NUM
ejpam-6698	257	5	)	)	PUNCT
ejpam-6698	257	6	,	,	PUNCT
ejpam-6698	257	7	where	where	SCONJ
ejpam-6698	257	8	ψ(q	ψ(q	PROPN
ejpam-6698	257	9	,	,	PUNCT
ejpam-6698	257	10	µ	µ	NOUN
ejpam-6698	257	11	)	)	PUNCT
ejpam-6698	257	12	is	be	AUX
ejpam-6698	257	13	given	give	VERB
ejpam-6698	257	14	by	by	ADP
ejpam-6698	257	15	(	(	PUNCT
ejpam-6698	257	16	23	23	NUM
ejpam-6698	257	17	)	)	PUNCT
ejpam-6698	257	18	.	.	PUNCT
ejpam-6698	258	1	figure	figure	VERB
ejpam-6698	258	2	2	2	NUM
ejpam-6698	258	3	:	:	PUNCT
ejpam-6698	258	4	the	the	DET
ejpam-6698	258	5	plot	plot	NOUN
ejpam-6698	258	6	of	of	ADP
ejpam-6698	258	7	the	the	DET
ejpam-6698	258	8	function	function	NOUN
ejpam-6698	258	9	ψ(q	ψ(q	PROPN
ejpam-6698	258	10	,	,	PUNCT
ejpam-6698	258	11	µ	µ	NOUN
ejpam-6698	258	12	)	)	PUNCT
ejpam-6698	258	13	.	.	PUNCT
ejpam-6698	259	1	subsequently	subsequently	ADV
ejpam-6698	259	2	,	,	PUNCT
ejpam-6698	259	3	by	by	ADP
ejpam-6698	259	4	subtracting	subtract	VERB
ejpam-6698	259	5	(	(	PUNCT
ejpam-6698	259	6	32	32	NUM
ejpam-6698	259	7	)	)	PUNCT
ejpam-6698	259	8	from	from	ADP
ejpam-6698	259	9	(	(	PUNCT
ejpam-6698	259	10	29	29	NUM
ejpam-6698	259	11	)	)	PUNCT
ejpam-6698	259	12	,	,	PUNCT
ejpam-6698	259	13	we	we	PRON
ejpam-6698	259	14	obtain	obtain	VERB
ejpam-6698	259	15	a3	a3	NOUN
ejpam-6698	259	16	=	=	SYM
ejpam-6698	259	17	a22	a22	PROPN
ejpam-6698	259	18	+	+	CCONJ
ejpam-6698	259	19	ϑq(ℓ2	ϑq(ℓ2	NOUN
ejpam-6698	259	20	−	−	PROPN
ejpam-6698	259	21	τ2	τ2	PROPN
ejpam-6698	259	22	)	)	PUNCT
ejpam-6698	259	23	4(µ+	4(µ+	NUM
ejpam-6698	260	1	q⌈2⌋q	q⌈2⌋q	PROPN
ejpam-6698	260	2	)	)	PUNCT
ejpam-6698	260	3	=	=	SYM
ejpam-6698	260	4	a22	a22	PROPN
ejpam-6698	260	5	+	+	CCONJ
ejpam-6698	260	6	ϑq(ℓ2	ϑq(ℓ2	NOUN
ejpam-6698	260	7	−	−	PROPN
ejpam-6698	260	8	τ2	τ2	PROPN
ejpam-6698	260	9	)	)	PUNCT
ejpam-6698	260	10	4(µ+	4(µ+	NUM
ejpam-6698	260	11	q2	q2	NOUN
ejpam-6698	260	12	+	+	CCONJ
ejpam-6698	260	13	q	q	X
ejpam-6698	260	14	)	)	PUNCT
ejpam-6698	260	15	.	.	PUNCT
ejpam-6698	261	1	(	(	PUNCT
ejpam-6698	261	2	40	40	NUM
ejpam-6698	261	3	)	)	PUNCT
ejpam-6698	261	4	hence	hence	ADV
ejpam-6698	261	5	,	,	PUNCT
ejpam-6698	261	6	|a3|	|a3|	VERB
ejpam-6698	261	7	≤	≤	ADJ
ejpam-6698	261	8	|a2|2	|a2|2	PUNCT
ejpam-6698	262	1	+	+	CCONJ
ejpam-6698	262	2	|ϑq|	|ϑq|	VERB
ejpam-6698	262	3	µ+	µ+	NOUN
ejpam-6698	262	4	q2	q2	NOUN
ejpam-6698	262	5	+	+	CCONJ
ejpam-6698	262	6	q	q	PROPN
ejpam-6698	262	7	.	.	PUNCT
ejpam-6698	263	1	(	(	PUNCT
ejpam-6698	263	2	41	41	NUM
ejpam-6698	263	3	)	)	PUNCT
ejpam-6698	263	4	substituting	substitute	VERB
ejpam-6698	263	5	equations	equation	NOUN
ejpam-6698	263	6	(	(	PUNCT
ejpam-6698	263	7	36	36	NUM
ejpam-6698	263	8	)	)	PUNCT
ejpam-6698	263	9	and	and	CCONJ
ejpam-6698	263	10	(	(	PUNCT
ejpam-6698	263	11	39	39	NUM
ejpam-6698	263	12	)	)	PUNCT
ejpam-6698	263	13	into	into	ADP
ejpam-6698	263	14	(	(	PUNCT
ejpam-6698	263	15	41	41	NUM
ejpam-6698	263	16	)	)	PUNCT
ejpam-6698	263	17	,	,	PUNCT
ejpam-6698	263	18	respectively	respectively	ADV
ejpam-6698	263	19	,	,	PUNCT
ejpam-6698	263	20	we	we	PRON
ejpam-6698	263	21	obtain	obtain	AUX
ejpam-6698	263	22	|a3|	|a3|	NOUN
ejpam-6698	263	23	≤	≤	X
ejpam-6698	263	24	ϑ2q	ϑ2q	PUNCT
ejpam-6698	263	25	(	(	PUNCT
ejpam-6698	263	26	µ+	µ+	DET
ejpam-6698	263	27	q)2	q)2	PROPN
ejpam-6698	263	28	+	+	CCONJ
ejpam-6698	263	29	|ϑq|	|ϑq|	PROPN
ejpam-6698	263	30	µ+	µ+	DET
ejpam-6698	263	31	q2	q2	NOUN
ejpam-6698	263	32	+	+	CCONJ
ejpam-6698	263	33	q	q	X
ejpam-6698	263	34	,	,	PUNCT
ejpam-6698	263	35	and	and	CCONJ
ejpam-6698	263	36	|a3|	|a3|	VERB
ejpam-6698	263	37	≤	≤	NUM
ejpam-6698	264	1	2ϑ2q	2ϑ2q	NUM
ejpam-6698	265	1	ψ(q	ψ(q	NOUN
ejpam-6698	265	2	,	,	PUNCT
ejpam-6698	265	3	µ	µ	NOUN
ejpam-6698	265	4	)	)	PUNCT
ejpam-6698	265	5	+	+	CCONJ
ejpam-6698	265	6	|ϑq|	|ϑq|	VERB
ejpam-6698	265	7	µ+	µ+	NOUN
ejpam-6698	265	8	q2	q2	NOUN
ejpam-6698	265	9	+	+	CCONJ
ejpam-6698	265	10	q	q	PROPN
ejpam-6698	265	11	.	.	PUNCT
ejpam-6698	266	1	a.	a.	PROPN
ejpam-6698	266	2	alsoboh	alsoboh	PROPN
ejpam-6698	266	3	et	et	PROPN
ejpam-6698	266	4	al	al	PROPN
ejpam-6698	266	5	.	.	PUNCT
ejpam-6698	266	6	/	/	SYM
ejpam-6698	266	7	eur	eur	PROPN
ejpam-6698	266	8	.	.	PUNCT
ejpam-6698	267	1	j.	j.	PROPN
ejpam-6698	267	2	pure	pure	PROPN
ejpam-6698	267	3	appl	appl	PROPN
ejpam-6698	267	4	.	.	PROPN
ejpam-6698	267	5	math	math	PROPN
ejpam-6698	267	6	,	,	PUNCT
ejpam-6698	267	7	18	18	NUM
ejpam-6698	267	8	(	(	PUNCT
ejpam-6698	267	9	3	3	NUM
ejpam-6698	267	10	)	)	PUNCT
ejpam-6698	267	11	(	(	PUNCT
ejpam-6698	267	12	2025	2025	NUM
ejpam-6698	267	13	)	)	PUNCT
ejpam-6698	267	14	,	,	PUNCT
ejpam-6698	267	15	6698	6698	NUM
ejpam-6698	267	16	15	15	NUM
ejpam-6698	267	17	of	of	ADP
ejpam-6698	267	18	25	25	NUM
ejpam-6698	267	19	hence	hence	ADV
ejpam-6698	267	20	,	,	PUNCT
ejpam-6698	267	21	the	the	DET
ejpam-6698	267	22	desired	desire	VERB
ejpam-6698	267	23	result	result	NOUN
ejpam-6698	267	24	follows	follow	VERB
ejpam-6698	267	25	,	,	PUNCT
ejpam-6698	267	26	completing	complete	VERB
ejpam-6698	267	27	the	the	DET
ejpam-6698	267	28	proof	proof	NOUN
ejpam-6698	267	29	with	with	ADP
ejpam-6698	267	30	elegance	elegance	NOUN
ejpam-6698	267	31	and	and	CCONJ
ejpam-6698	267	32	clarity	clarity	NOUN
ejpam-6698	267	33	.	.	PUNCT
ejpam-6698	268	1	in	in	ADP
ejpam-6698	268	2	the	the	DET
ejpam-6698	268	3	next	next	ADJ
ejpam-6698	268	4	result	result	NOUN
ejpam-6698	268	5	,	,	PUNCT
ejpam-6698	268	6	we	we	PRON
ejpam-6698	268	7	derive	derive	VERB
ejpam-6698	268	8	the	the	DET
ejpam-6698	268	9	sharp	sharp	ADJ
ejpam-6698	268	10	bound	bind	VERB
ejpam-6698	268	11	for	for	ADP
ejpam-6698	268	12	the	the	DET
ejpam-6698	268	13	functional	functional	ADJ
ejpam-6698	268	14	∣∣a3	∣∣a3	NOUN
ejpam-6698	268	15	−	−	PRON
ejpam-6698	268	16	ηa22	ηa22	PROPN
ejpam-6698	268	17	∣∣	∣∣	NUM
ejpam-6698	268	18	for	for	ADP
ejpam-6698	268	19	functions	function	NOUN
ejpam-6698	268	20	f	f	PROPN
ejpam-6698	268	21	∈	∈	PROPN
ejpam-6698	268	22	bς(µ	bς(µ	NUM
ejpam-6698	268	23	,	,	PUNCT
ejpam-6698	268	24	q	q	NOUN
ejpam-6698	268	25	)	)	PUNCT
ejpam-6698	268	26	,	,	PUNCT
ejpam-6698	268	27	where	where	SCONJ
ejpam-6698	268	28	η	η	PROPN
ejpam-6698	268	29	∈	∈	PROPN
ejpam-6698	268	30	r.	r.	PROPN
ejpam-6698	268	31	theorem	theorem	NOUN
ejpam-6698	268	32	2	2	NUM
ejpam-6698	268	33	.	.	X
ejpam-6698	268	34	for	for	ADP
ejpam-6698	268	35	η	η	PROPN
ejpam-6698	268	36	∈	∈	PROPN
ejpam-6698	268	37	r+	r+	NOUN
ejpam-6698	268	38	∪	∪	X
ejpam-6698	268	39	{	{	PUNCT
ejpam-6698	268	40	0	0	NUM
ejpam-6698	268	41	}	}	PUNCT
ejpam-6698	268	42	,	,	PUNCT
ejpam-6698	268	43	let	let	VERB
ejpam-6698	268	44	f	f	PROPN
ejpam-6698	268	45	∈	∈	PROPN
ejpam-6698	268	46	bς(µ	bς(µ	PROPN
ejpam-6698	268	47	,	,	PUNCT
ejpam-6698	268	48	q	q	NOUN
ejpam-6698	268	49	)	)	PUNCT
ejpam-6698	268	50	.	.	PUNCT
ejpam-6698	269	1	then	then	ADV
ejpam-6698	269	2	∣∣a3	∣∣a3	NOUN
ejpam-6698	269	3	−	−	PROPN
ejpam-6698	269	4	η	η	PROPN
ejpam-6698	269	5	a22	a22	X
ejpam-6698	269	6	∣∣	∣∣	PROPN
ejpam-6698	269	7	≤	≤	PROPN
ejpam-6698	269	8			PROPN
ejpam-6698	269	9	|ϑq|	|ϑq|	VERB
ejpam-6698	269	10	µ+	µ+	NOUN
ejpam-6698	269	11	q2	q2	NOUN
ejpam-6698	269	12	+	+	CCONJ
ejpam-6698	269	13	q	q	X
ejpam-6698	269	14	,	,	PUNCT
ejpam-6698	269	15	if	if	SCONJ
ejpam-6698	269	16	|1	|1	PRON
ejpam-6698	270	1	−	−	PROPN
ejpam-6698	270	2	η|	η|	ADJ
ejpam-6698	270	3	≤	≤	NUM
ejpam-6698	270	4	ψ(q	ψ(q	PROPN
ejpam-6698	270	5	,	,	PUNCT
ejpam-6698	270	6	µ	µ	NOUN
ejpam-6698	270	7	)	)	PUNCT
ejpam-6698	270	8	2(µ+	2(µ+	NUM
ejpam-6698	270	9	q2	q2	NOUN
ejpam-6698	270	10	+	+	CCONJ
ejpam-6698	270	11	q)|ϑq|	q)|ϑq|	VERB
ejpam-6698	270	12	,	,	PUNCT
ejpam-6698	270	13	2(1	2(1	NUM
ejpam-6698	270	14	−	−	NOUN
ejpam-6698	270	15	η)ϑ2q	η)ϑ2q	NOUN
ejpam-6698	270	16	ψ(q	ψ(q	PROPN
ejpam-6698	270	17	,	,	PUNCT
ejpam-6698	270	18	µ	µ	NOUN
ejpam-6698	270	19	)	)	PUNCT
ejpam-6698	270	20	,	,	PUNCT
ejpam-6698	270	21	if	if	SCONJ
ejpam-6698	270	22	|1	|1	PRON
ejpam-6698	270	23	−	−	PROPN
ejpam-6698	270	24	η|	η|	PROPN
ejpam-6698	270	25	≥	≥	NUM
ejpam-6698	270	26	ψ(q	ψ(q	NOUN
ejpam-6698	270	27	,	,	PUNCT
ejpam-6698	270	28	µ	µ	NOUN
ejpam-6698	270	29	)	)	PUNCT
ejpam-6698	270	30	2(µ+	2(µ+	NUM
ejpam-6698	270	31	q2	q2	NOUN
ejpam-6698	270	32	+	+	CCONJ
ejpam-6698	270	33	q)|ϑq|	q)|ϑq|	PROPN
ejpam-6698	270	34	,	,	PUNCT
ejpam-6698	270	35	(	(	PUNCT
ejpam-6698	270	36	42	42	NUM
ejpam-6698	270	37	)	)	PUNCT
ejpam-6698	270	38	where	where	SCONJ
ejpam-6698	270	39	ψ(q	ψ(q	PROPN
ejpam-6698	270	40	,	,	PUNCT
ejpam-6698	270	41	µ	µ	NOUN
ejpam-6698	270	42	)	)	PUNCT
ejpam-6698	270	43	is	be	AUX
ejpam-6698	270	44	defined	define	VERB
ejpam-6698	270	45	in	in	ADP
ejpam-6698	270	46	(	(	PUNCT
ejpam-6698	270	47	23	23	NUM
ejpam-6698	270	48	)	)	PUNCT
ejpam-6698	270	49	.	.	PUNCT
ejpam-6698	271	1	proof	proof	NOUN
ejpam-6698	271	2	.	.	PUNCT
ejpam-6698	272	1	assuming	assume	VERB
ejpam-6698	272	2	that	that	SCONJ
ejpam-6698	272	3	f	f	PROPN
ejpam-6698	272	4	∈	∈	PROPN
ejpam-6698	272	5	bς(µ	bς(µ	NUM
ejpam-6698	272	6	,	,	PUNCT
ejpam-6698	272	7	q	q	NOUN
ejpam-6698	272	8	)	)	PUNCT
ejpam-6698	272	9	,	,	PUNCT
ejpam-6698	272	10	it	it	PRON
ejpam-6698	272	11	follows	follow	VERB
ejpam-6698	272	12	from	from	ADP
ejpam-6698	272	13	equations	equation	NOUN
ejpam-6698	272	14	(	(	PUNCT
ejpam-6698	272	15	38	38	NUM
ejpam-6698	272	16	)	)	PUNCT
ejpam-6698	272	17	and	and	CCONJ
ejpam-6698	272	18	(	(	PUNCT
ejpam-6698	272	19	40	40	NUM
ejpam-6698	272	20	)	)	PUNCT
ejpam-6698	272	21	that	that	PRON
ejpam-6698	272	22	a3	a3	VERB
ejpam-6698	272	23	−	−	PROPN
ejpam-6698	272	24	η	η	PROPN
ejpam-6698	272	25	a22	a22	PROPN
ejpam-6698	272	26	=	=	PUNCT
ejpam-6698	272	27	(	(	PUNCT
ejpam-6698	272	28	1	1	NUM
ejpam-6698	272	29	−	−	NOUN
ejpam-6698	272	30	η)ϑ2q(ℓ2	η)ϑ2q(ℓ2	NOUN
ejpam-6698	272	31	+	+	CCONJ
ejpam-6698	272	32	τ2	τ2	ADJ
ejpam-6698	272	33	)	)	PUNCT
ejpam-6698	272	34	2	2	NUM
ejpam-6698	273	1	[	[	X
ejpam-6698	273	2	−2(µ+	−2(µ+	X
ejpam-6698	273	3	q)2(−1	q)2(−1	PROPN
ejpam-6698	274	1	+	+	CCONJ
ejpam-6698	274	2	(	(	PUNCT
ejpam-6698	274	3	1	1	NUM
ejpam-6698	274	4	+	+	NUM
ejpam-6698	274	5	2q)ϑq	2q)ϑq	NUM
ejpam-6698	274	6	)	)	PUNCT
ejpam-6698	274	7	+	+	CCONJ
ejpam-6698	274	8	ϑq(2q2	ϑq(2q2	NOUN
ejpam-6698	274	9	+	+	CCONJ
ejpam-6698	274	10	(	(	PUNCT
ejpam-6698	274	11	2q	2q	NOUN
ejpam-6698	274	12	+	+	X
ejpam-6698	274	13	1)µ+	1)µ+	NUM
ejpam-6698	274	14	µ2	µ2	PROPN
ejpam-6698	274	15	)	)	PUNCT
ejpam-6698	274	16	]	]	PUNCT
ejpam-6698	275	1	+	+	CCONJ
ejpam-6698	275	2	ϑq(ℓ2	ϑq(ℓ2	NOUN
ejpam-6698	275	3	−	−	PROPN
ejpam-6698	275	4	τ2	τ2	PROPN
ejpam-6698	275	5	)	)	PUNCT
ejpam-6698	275	6	4(µ+	4(µ+	NUM
ejpam-6698	275	7	q2	q2	NOUN
ejpam-6698	275	8	+	+	CCONJ
ejpam-6698	275	9	q	q	X
ejpam-6698	275	10	)	)	PUNCT
ejpam-6698	275	11	=	=	SYM
ejpam-6698	275	12	(	(	PUNCT
ejpam-6698	275	13	ξ(q	ξ(q	PROPN
ejpam-6698	275	14	,	,	PUNCT
ejpam-6698	275	15	µ	µ	X
ejpam-6698	275	16	,	,	PUNCT
ejpam-6698	275	17	η	η	NOUN
ejpam-6698	275	18	)	)	PUNCT
ejpam-6698	275	19	+	+	CCONJ
ejpam-6698	275	20	ϑq	ϑq	PRON
ejpam-6698	275	21	4(µ+	4(µ+	NUM
ejpam-6698	275	22	q2	q2	NOUN
ejpam-6698	275	23	+	+	CCONJ
ejpam-6698	275	24	q	q	X
ejpam-6698	275	25	)	)	PUNCT
ejpam-6698	275	26	)	)	PUNCT
ejpam-6698	275	27	ℓ2	ℓ2	PROPN
ejpam-6698	275	28	+	+	CCONJ
ejpam-6698	275	29	(	(	PUNCT
ejpam-6698	275	30	ξ(q	ξ(q	PROPN
ejpam-6698	275	31	,	,	PUNCT
ejpam-6698	275	32	µ	µ	X
ejpam-6698	275	33	,	,	PUNCT
ejpam-6698	275	34	η	η	NOUN
ejpam-6698	275	35	)	)	PUNCT
ejpam-6698	275	36	−	−	PROPN
ejpam-6698	275	37	ϑq	ϑq	INTJ
ejpam-6698	275	38	4(µ+	4(µ+	NUM
ejpam-6698	275	39	q2	q2	NOUN
ejpam-6698	275	40	+	+	CCONJ
ejpam-6698	275	41	q	q	X
ejpam-6698	275	42	)	)	PUNCT
ejpam-6698	275	43	)	)	PUNCT
ejpam-6698	275	44	τ2	τ2	PROPN
ejpam-6698	275	45	,	,	PUNCT
ejpam-6698	275	46	(	(	PUNCT
ejpam-6698	275	47	43	43	NUM
ejpam-6698	275	48	)	)	PUNCT
ejpam-6698	275	49	where	where	SCONJ
ejpam-6698	275	50	ξ(q	ξ(q	PROPN
ejpam-6698	275	51	,	,	PUNCT
ejpam-6698	275	52	µ	µ	X
ejpam-6698	275	53	,	,	PUNCT
ejpam-6698	275	54	η	η	NOUN
ejpam-6698	275	55	)	)	PUNCT
ejpam-6698	275	56	=	=	PUNCT
ejpam-6698	275	57	(	(	PUNCT
ejpam-6698	275	58	1	1	NUM
ejpam-6698	275	59	−	−	PROPN
ejpam-6698	275	60	η)ϑ2q	η)ϑ2q	NOUN
ejpam-6698	275	61	2	2	NUM
ejpam-6698	275	62	[	[	X
ejpam-6698	275	63	−2(µ+	−2(µ+	X
ejpam-6698	275	64	q)2(−1	q)2(−1	PROPN
ejpam-6698	276	1	+	+	CCONJ
ejpam-6698	276	2	(	(	PUNCT
ejpam-6698	276	3	1	1	NUM
ejpam-6698	276	4	+	+	NUM
ejpam-6698	276	5	2q)ϑq	2q)ϑq	NUM
ejpam-6698	276	6	)	)	PUNCT
ejpam-6698	276	7	+	+	CCONJ
ejpam-6698	276	8	ϑq(2q2	ϑq(2q2	NOUN
ejpam-6698	276	9	+	+	CCONJ
ejpam-6698	276	10	(	(	PUNCT
ejpam-6698	276	11	2q	2q	NOUN
ejpam-6698	276	12	+	+	X
ejpam-6698	276	13	1)µ+	1)µ+	NUM
ejpam-6698	276	14	µ2	µ2	PROPN
ejpam-6698	276	15	)	)	PUNCT
ejpam-6698	276	16	]	]	PUNCT
ejpam-6698	276	17	.	.	PUNCT
ejpam-6698	277	1	(	(	PUNCT
ejpam-6698	277	2	44	44	NUM
ejpam-6698	277	3	)	)	PUNCT
ejpam-6698	277	4	accordingly	accordingly	ADV
ejpam-6698	277	5	,	,	PUNCT
ejpam-6698	277	6	taking	take	VERB
ejpam-6698	277	7	the	the	DET
ejpam-6698	277	8	modulus	modulus	NOUN
ejpam-6698	277	9	of	of	ADP
ejpam-6698	277	10	(	(	PUNCT
ejpam-6698	277	11	43	43	NUM
ejpam-6698	277	12	)	)	PUNCT
ejpam-6698	277	13	,	,	PUNCT
ejpam-6698	277	14	we	we	PRON
ejpam-6698	277	15	obtain	obtain	VERB
ejpam-6698	277	16	:	:	PUNCT
ejpam-6698	277	17	∣∣a3	∣∣a3	PROPN
ejpam-6698	277	18	−	−	PROPN
ejpam-6698	277	19	η	η	PROPN
ejpam-6698	277	20	a22	a22	X
ejpam-6698	277	21	∣∣	∣∣	PROPN
ejpam-6698	277	22	≤	≤	PROPN
ejpam-6698	277	23			PROPN
ejpam-6698	277	24	|ϑq|	|ϑq|	VERB
ejpam-6698	277	25	µ+	µ+	NOUN
ejpam-6698	277	26	q2	q2	NOUN
ejpam-6698	277	27	+	+	CCONJ
ejpam-6698	277	28	q	q	SYM
ejpam-6698	277	29	,	,	PUNCT
ejpam-6698	277	30	if	if	SCONJ
ejpam-6698	277	31	0	0	NUM
ejpam-6698	277	32	≤	≤	NUM
ejpam-6698	277	33	ξ(q	ξ(q	PROPN
ejpam-6698	277	34	,	,	PUNCT
ejpam-6698	277	35	µ	µ	X
ejpam-6698	277	36	,	,	PUNCT
ejpam-6698	277	37	η	η	NOUN
ejpam-6698	277	38	)	)	PUNCT
ejpam-6698	277	39	≤	≤	NOUN
ejpam-6698	277	40	ϑq	ϑq	ADP
ejpam-6698	277	41	4(µ+	4(µ+	NUM
ejpam-6698	277	42	q2	q2	NOUN
ejpam-6698	277	43	+	+	CCONJ
ejpam-6698	277	44	q	q	X
ejpam-6698	277	45	)	)	PUNCT
ejpam-6698	277	46	,	,	PUNCT
ejpam-6698	277	47	4ξ(q	4ξ(q	NUM
ejpam-6698	277	48	,	,	PUNCT
ejpam-6698	277	49	µ	µ	X
ejpam-6698	277	50	,	,	PUNCT
ejpam-6698	277	51	η	η	NOUN
ejpam-6698	277	52	)	)	PUNCT
ejpam-6698	277	53	,	,	PUNCT
ejpam-6698	277	54	if	if	SCONJ
ejpam-6698	277	55	ξ(q	ξ(q	PROPN
ejpam-6698	277	56	,	,	PUNCT
ejpam-6698	277	57	µ	µ	X
ejpam-6698	277	58	,	,	PUNCT
ejpam-6698	277	59	η	η	NOUN
ejpam-6698	277	60	)	)	PUNCT
ejpam-6698	277	61	≥	≥	NOUN
ejpam-6698	277	62	ϑq	ϑq	ADP
ejpam-6698	277	63	4(µ+	4(µ+	NUM
ejpam-6698	277	64	q2	q2	NOUN
ejpam-6698	277	65	+	+	CCONJ
ejpam-6698	277	66	q	q	X
ejpam-6698	277	67	)	)	PUNCT
ejpam-6698	277	68	.	.	PUNCT
ejpam-6698	278	1	after	after	ADP
ejpam-6698	278	2	straightforward	straightforward	ADJ
ejpam-6698	278	3	computations	computation	NOUN
ejpam-6698	278	4	,	,	PUNCT
ejpam-6698	278	5	we	we	PRON
ejpam-6698	278	6	obtain	obtain	VERB
ejpam-6698	278	7	the	the	DET
ejpam-6698	278	8	result	result	NOUN
ejpam-6698	278	9	in	in	ADP
ejpam-6698	278	10	(	(	PUNCT
ejpam-6698	278	11	42	42	NUM
ejpam-6698	278	12	)	)	PUNCT
ejpam-6698	278	13	.	.	PUNCT
ejpam-6698	279	1	3	3	X
ejpam-6698	279	2	.	.	X
ejpam-6698	279	3	on	on	ADP
ejpam-6698	279	4	coefficient	coefficient	NOUN
ejpam-6698	279	5	bounds	bound	NOUN
ejpam-6698	279	6	of	of	ADP
ejpam-6698	279	7	the	the	DET
ejpam-6698	279	8	second	second	ADJ
ejpam-6698	279	9	hankel	hankel	NOUN
ejpam-6698	279	10	determinant	determinant	ADJ
ejpam-6698	279	11	for	for	ADP
ejpam-6698	279	12	the	the	DET
ejpam-6698	279	13	class	class	NOUN
ejpam-6698	279	14	bς(µ	bς(µ	NOUN
ejpam-6698	279	15	,	,	PUNCT
ejpam-6698	279	16	q	q	X
ejpam-6698	279	17	)	)	PUNCT
ejpam-6698	279	18	this	this	DET
ejpam-6698	279	19	section	section	NOUN
ejpam-6698	279	20	is	be	AUX
ejpam-6698	279	21	devoted	devote	VERB
ejpam-6698	279	22	to	to	ADP
ejpam-6698	279	23	deriving	derive	VERB
ejpam-6698	279	24	a	a	DET
ejpam-6698	279	25	coefficient	coefficient	NOUN
ejpam-6698	279	26	inequality	inequality	NOUN
ejpam-6698	279	27	for	for	ADP
ejpam-6698	279	28	the	the	DET
ejpam-6698	279	29	second	second	ADJ
ejpam-6698	279	30	hankel	hankel	NOUN
ejpam-6698	279	31	determinant	determinant	ADJ
ejpam-6698	279	32	associated	associate	VERB
ejpam-6698	279	33	with	with	ADP
ejpam-6698	279	34	the	the	DET
ejpam-6698	279	35	class	class	NOUN
ejpam-6698	279	36	bς(µ	bς(µ	NOUN
ejpam-6698	279	37	,	,	PUNCT
ejpam-6698	279	38	q	q	NOUN
ejpam-6698	279	39	)	)	PUNCT
ejpam-6698	279	40	,	,	PUNCT
ejpam-6698	279	41	as	as	SCONJ
ejpam-6698	279	42	presented	present	VERB
ejpam-6698	279	43	in	in	ADP
ejpam-6698	279	44	the	the	DET
ejpam-6698	279	45	following	following	NOUN
ejpam-6698	279	46	theorem	theorem	NOUN
ejpam-6698	279	47	:	:	PUNCT
ejpam-6698	279	48	a.	a.	NOUN
ejpam-6698	279	49	alsoboh	alsoboh	PROPN
ejpam-6698	279	50	et	et	PROPN
ejpam-6698	279	51	al	al	PROPN
ejpam-6698	279	52	.	.	PUNCT
ejpam-6698	279	53	/	/	SYM
ejpam-6698	279	54	eur	eur	PROPN
ejpam-6698	279	55	.	.	PUNCT
ejpam-6698	280	1	j.	j.	PROPN
ejpam-6698	280	2	pure	pure	PROPN
ejpam-6698	280	3	appl	appl	PROPN
ejpam-6698	280	4	.	.	PROPN
ejpam-6698	280	5	math	math	PROPN
ejpam-6698	280	6	,	,	PUNCT
ejpam-6698	280	7	18	18	NUM
ejpam-6698	280	8	(	(	PUNCT
ejpam-6698	280	9	3	3	NUM
ejpam-6698	280	10	)	)	PUNCT
ejpam-6698	280	11	(	(	PUNCT
ejpam-6698	280	12	2025	2025	NUM
ejpam-6698	280	13	)	)	PUNCT
ejpam-6698	280	14	,	,	PUNCT
ejpam-6698	280	15	6698	6698	NUM
ejpam-6698	280	16	16	16	NUM
ejpam-6698	280	17	of	of	ADP
ejpam-6698	280	18	25	25	NUM
ejpam-6698	280	19	theorem	theorem	NOUN
ejpam-6698	280	20	3	3	X
ejpam-6698	280	21	.	.	PUNCT
ejpam-6698	281	1	let	let	VERB
ejpam-6698	281	2	f	f	PROPN
ejpam-6698	281	3	∈	∈	PROPN
ejpam-6698	281	4	bς(µ	bς(µ	PROPN
ejpam-6698	281	5	,	,	PUNCT
ejpam-6698	281	6	q	q	NOUN
ejpam-6698	281	7	)	)	PUNCT
ejpam-6698	281	8	.	.	PUNCT
ejpam-6698	282	1	then	then	ADV
ejpam-6698	282	2	∣∣h2,2(f	∣∣h2,2(f	PROPN
ejpam-6698	282	3	)	)	PUNCT
ejpam-6698	282	4	∣∣	∣∣	PROPN
ejpam-6698	282	5	≤	≤	NUM
ejpam-6698	282	6			NUM
ejpam-6698	282	7	y(2−	y(2−	NOUN
ejpam-6698	282	8	)	)	PUNCT
ejpam-6698	282	9	if	if	SCONJ
ejpam-6698	282	10	x1	x1	PROPN
ejpam-6698	282	11	≥	≥	X
ejpam-6698	282	12	0	0	NUM
ejpam-6698	282	13	and	and	CCONJ
ejpam-6698	282	14	x2	x2	PROPN
ejpam-6698	282	15	≥	≥	NOUN
ejpam-6698	282	16	0	0	NUM
ejpam-6698	282	17	,	,	PUNCT
ejpam-6698	282	18	max	max	PROPN
ejpam-6698	282	19	{	{	PUNCT
ejpam-6698	282	20	ϑ2q	ϑ2q	NOUN
ejpam-6698	282	21	(	(	PUNCT
ejpam-6698	282	22	q	q	NOUN
ejpam-6698	282	23	+	+	NUM
ejpam-6698	282	24	q2	q2	NOUN
ejpam-6698	282	25	+	+	CCONJ
ejpam-6698	282	26	µ)2	µ)2	NOUN
ejpam-6698	282	27	,	,	PUNCT
ejpam-6698	282	28	y(2−	y(2−	PROPN
ejpam-6698	282	29	)	)	PUNCT
ejpam-6698	282	30	}	}	PUNCT
ejpam-6698	283	1	if	if	SCONJ
ejpam-6698	283	2	x1	x1	PROPN
ejpam-6698	283	3	>	>	X
ejpam-6698	283	4	0	0	PUNCT
ejpam-6698	284	1	and	and	CCONJ
ejpam-6698	284	2	x2	x2	NOUN
ejpam-6698	284	3	<	<	X
ejpam-6698	284	4	0	0	NUM
ejpam-6698	284	5	,	,	PUNCT
ejpam-6698	284	6	ϑ2q	ϑ2q	NOUN
ejpam-6698	284	7	(	(	PUNCT
ejpam-6698	284	8	q	q	SYM
ejpam-6698	284	9	+	+	NUM
ejpam-6698	284	10	q2	q2	NOUN
ejpam-6698	284	11	+	+	CCONJ
ejpam-6698	284	12	µ)2	µ)2	NOUN
ejpam-6698	284	13	if	if	SCONJ
ejpam-6698	284	14	x1	x1	PROPN
ejpam-6698	284	15	≤	≤	NOUN
ejpam-6698	284	16	0	0	NUM
ejpam-6698	285	1	and	and	CCONJ
ejpam-6698	285	2	x2	x2	PROPN
ejpam-6698	285	3	≤	≤	PROPN
ejpam-6698	285	4	0	0	NUM
ejpam-6698	285	5	,	,	PUNCT
ejpam-6698	285	6	max	max	PROPN
ejpam-6698	285	7	{	{	PUNCT
ejpam-6698	285	8	y(2−	y(2−	PROPN
ejpam-6698	285	9	)	)	PUNCT
ejpam-6698	285	10	,	,	PUNCT
ejpam-6698	285	11	y	y	PROPN
ejpam-6698	285	12	(	(	PUNCT
ejpam-6698	285	13	√	√	INTJ
ejpam-6698	285	14	−12x2	−12x2	SYM
ejpam-6698	285	15	x1	x1	NUM
ejpam-6698	285	16	)	)	PUNCT
ejpam-6698	285	17	}	}	PUNCT
ejpam-6698	286	1	if	if	SCONJ
ejpam-6698	286	2	x1	x1	PROPN
ejpam-6698	286	3	<	<	X
ejpam-6698	286	4	0	0	PUNCT
ejpam-6698	287	1	and	and	CCONJ
ejpam-6698	287	2	x2	x2	ADJ
ejpam-6698	287	3	>	>	X
ejpam-6698	287	4	0	0	NUM
ejpam-6698	287	5	,	,	PUNCT
ejpam-6698	287	6	(	(	PUNCT
ejpam-6698	287	7	45	45	NUM
ejpam-6698	287	8	)	)	PUNCT
ejpam-6698	288	1	where	where	SCONJ
ejpam-6698	288	2	x1	x1	PRON
ejpam-6698	288	3	:	:	PUNCT
ejpam-6698	288	4	=	=	NOUN
ejpam-6698	288	5	∣∣ϑ4q(6q3(1	∣∣ϑ4q(6q3(1	X
ejpam-6698	288	6	+	+	SYM
ejpam-6698	288	7	6q	6q	NOUN
ejpam-6698	288	8	)	)	PUNCT
ejpam-6698	289	1	+	+	CCONJ
ejpam-6698	289	2	6q2(5	6q2(5	NUM
ejpam-6698	289	3	+	+	CCONJ
ejpam-6698	289	4	18q)µ+	18q)µ+	NUM
ejpam-6698	289	5	3qµ(−1	3qµ(−1	NUM
ejpam-6698	289	6	+	+	CCONJ
ejpam-6698	289	7	(	(	PUNCT
ejpam-6698	289	8	11	11	NUM
ejpam-6698	289	9	+	+	CCONJ
ejpam-6698	289	10	36q)µ	36q)µ	NUM
ejpam-6698	289	11	)	)	PUNCT
ejpam-6698	290	1	+	+	NOUN
ejpam-6698	290	2	µ	µ	X
ejpam-6698	290	3	(	(	PUNCT
ejpam-6698	290	4	−2	−2	NOUN
ejpam-6698	290	5	+	+	NUM
ejpam-6698	290	6	µ(−3	µ(−3	NOUN
ejpam-6698	290	7	+	+	CCONJ
ejpam-6698	290	8	(	(	PUNCT
ejpam-6698	290	9	11	11	NUM
ejpam-6698	290	10	+	+	CCONJ
ejpam-6698	290	11	36q)µ	36q)µ	NUM
ejpam-6698	290	12	)	)	PUNCT
ejpam-6698	290	13	)	)	PUNCT
ejpam-6698	290	14	)	)	PUNCT
ejpam-6698	291	1	∣∣	∣∣	X
ejpam-6698	291	2	(	(	PUNCT
ejpam-6698	291	3	q	q	NOUN
ejpam-6698	291	4	+	+	NUM
ejpam-6698	291	5	q2	q2	NOUN
ejpam-6698	291	6	+	+	CCONJ
ejpam-6698	291	7	µ)2	µ)2	NOUN
ejpam-6698	291	8	−	−	VERB
ejpam-6698	291	9	6(q	6(q	NUM
ejpam-6698	291	10	+	+	NUM
ejpam-6698	291	11	µ)2	µ)2	NOUN
ejpam-6698	291	12	[	[	PUNCT
ejpam-6698	291	13	q3(1	q3(1	PROPN
ejpam-6698	291	14	+	+	CCONJ
ejpam-6698	291	15	q(3	q(3	PROPN
ejpam-6698	291	16	+	+	CCONJ
ejpam-6698	291	17	q))ϑ2q	q))ϑ2q	NOUN
ejpam-6698	291	18	−	−	PROPN
ejpam-6698	291	19	q(1	q(1	NOUN
ejpam-6698	291	20	+	+	CCONJ
ejpam-6698	291	21	q	q	X
ejpam-6698	291	22	)	)	PUNCT
ejpam-6698	291	23	(	(	PUNCT
ejpam-6698	291	24	1	1	NUM
ejpam-6698	291	25	+	+	NUM
ejpam-6698	291	26	2q(1	2q(1	NUM
ejpam-6698	291	27	+	+	CCONJ
ejpam-6698	291	28	q(1	q(1	NOUN
ejpam-6698	291	29	+	+	CCONJ
ejpam-6698	291	30	q)(3	q)(3	X
ejpam-6698	291	31	+	+	CCONJ
ejpam-6698	291	32	4q	4q	NOUN
ejpam-6698	291	33	)	)	PUNCT
ejpam-6698	291	34	)	)	PUNCT
ejpam-6698	291	35	)	)	PUNCT
ejpam-6698	292	1	ϑ3q	ϑ3q	NOUN
ejpam-6698	292	2	−	−	PROPN
ejpam-6698	292	3	(	(	PUNCT
ejpam-6698	292	4	−3q2(1	−3q2(1	NUM
ejpam-6698	292	5	+	+	CCONJ
ejpam-6698	292	6	2q)ϑ2q	2q)ϑ2q	NUM
ejpam-6698	292	7	+	+	PUNCT
ejpam-6698	292	8	ϑ3q	ϑ3q	NOUN
ejpam-6698	292	9	+	+	NOUN
ejpam-6698	292	10	q	q	X
ejpam-6698	292	11	(	(	PUNCT
ejpam-6698	292	12	3	3	NUM
ejpam-6698	292	13	+	+	CCONJ
ejpam-6698	292	14	q(15	q(15	NOUN
ejpam-6698	292	15	+	+	NUM
ejpam-6698	292	16	18q	18q	NOUN
ejpam-6698	292	17	+	+	PUNCT
ejpam-6698	292	18	4q2	4q2	NUM
ejpam-6698	293	1	+	+	NUM
ejpam-6698	293	2	8(1	8(1	NOUN
ejpam-6698	293	3	+	+	CCONJ
ejpam-6698	293	4	q)(3	q)(3	X
ejpam-6698	293	5	+	+	CCONJ
ejpam-6698	293	6	q)q	q)q	ADJ
ejpam-6698	293	7	)	)	PUNCT
ejpam-6698	293	8	)	)	PUNCT
ejpam-6698	293	9	ϑ3q	ϑ3q	NOUN
ejpam-6698	293	10	)	)	PUNCT
ejpam-6698	293	11	µ	µ	NOUN
ejpam-6698	293	12	−	−	NOUN
ejpam-6698	293	13	(	(	PUNCT
ejpam-6698	293	14	q(−3	q(−3	NOUN
ejpam-6698	293	15	+	+	CCONJ
ejpam-6698	293	16	(	(	PUNCT
ejpam-6698	293	17	−3	−3	PROPN
ejpam-6698	293	18	+	+	CCONJ
ejpam-6698	293	19	q)q)ϑ2q	q)q)ϑ2q	PROPN
ejpam-6698	293	20	+	+	NOUN
ejpam-6698	293	21	ϑ3q	ϑ3q	NOUN
ejpam-6698	293	22	+	+	PUNCT
ejpam-6698	293	23	4q(3	4q(3	NUM
ejpam-6698	293	24	+	+	CCONJ
ejpam-6698	293	25	2q)(1	2q)(1	NUM
ejpam-6698	293	26	+	+	CCONJ
ejpam-6698	293	27	2q)ϑ3q	2q)ϑ3q	NUM
ejpam-6698	293	28	)	)	PUNCT
ejpam-6698	294	1	µ2	µ2	PROPN
ejpam-6698	294	2	+	+	CCONJ
ejpam-6698	294	3	(	(	PUNCT
ejpam-6698	294	4	ϑ2q	ϑ2q	VERB
ejpam-6698	294	5	−	−	PROPN
ejpam-6698	294	6	4(ϑ3q	4(ϑ3q	NUM
ejpam-6698	294	7	+	+	CCONJ
ejpam-6698	294	8	2qϑ3q	2qϑ3q	NUM
ejpam-6698	294	9	)	)	PUNCT
ejpam-6698	294	10	)	)	PUNCT
ejpam-6698	294	11	µ3	µ3	NOUN
ejpam-6698	294	12	]	]	PUNCT
ejpam-6698	294	13	,	,	PUNCT
ejpam-6698	294	14	x2	x2	INTJ
ejpam-6698	294	15	:	:	PUNCT
ejpam-6698	294	16	=	=	SYM
ejpam-6698	294	17	−(q	−(q	NOUN
ejpam-6698	294	18	+	+	CCONJ
ejpam-6698	294	19	µ)2	µ)2	NOUN
ejpam-6698	294	20	[	[	PUNCT
ejpam-6698	294	21	2q5(3	2q5(3	NUM
ejpam-6698	294	22	+	+	NUM
ejpam-6698	294	23	4q)ϑ3q	4q)ϑ3q	NOUN
ejpam-6698	294	24	+	+	CCONJ
ejpam-6698	294	25	qϑ3q	qϑ3q	NUM
ejpam-6698	294	26	(	(	PUNCT
ejpam-6698	294	27	1	1	NUM
ejpam-6698	294	28	+	+	SYM
ejpam-6698	294	29	3µ+	3µ+	NUM
ejpam-6698	294	30	12(1	12(1	NOUN
ejpam-6698	294	31	+	+	CCONJ
ejpam-6698	294	32	2q)µ2	2q)µ2	NUM
ejpam-6698	294	33	)	)	PUNCT
ejpam-6698	295	1	+	+	CCONJ
ejpam-6698	295	2	ϑ3qµ	ϑ3qµ	PUNCT
ejpam-6698	295	3	(	(	PUNCT
ejpam-6698	295	4	1	1	NUM
ejpam-6698	295	5	+	+	CCONJ
ejpam-6698	295	6	µ+	µ+	X
ejpam-6698	295	7	(	(	PUNCT
ejpam-6698	295	8	4	4	NUM
ejpam-6698	295	9	+	+	NUM
ejpam-6698	295	10	8q)µ2	8q)µ2	NUM
ejpam-6698	295	11	)	)	PUNCT
ejpam-6698	296	1	+	+	CCONJ
ejpam-6698	296	2	2q3	2q3	NUM
ejpam-6698	296	3	(	(	PUNCT
ejpam-6698	296	4	ϑ2q(−2	ϑ2q(−2	NOUN
ejpam-6698	296	5	+	+	NUM
ejpam-6698	296	6	µ)µ+	µ)µ+	PROPN
ejpam-6698	296	7	ϑ3q(4	ϑ3q(4	NOUN
ejpam-6698	296	8	+	+	NUM
ejpam-6698	296	9	4q	4q	NOUN
ejpam-6698	296	10	+	+	CCONJ
ejpam-6698	296	11	9µ+	9µ+	NUM
ejpam-6698	296	12	16qµ	16qµ	NOUN
ejpam-6698	296	13	)	)	PUNCT
ejpam-6698	296	14	)	)	PUNCT
ejpam-6698	297	1	+	+	NUM
ejpam-6698	297	2	q2	q2	NOUN
ejpam-6698	297	3	(	(	PUNCT
ejpam-6698	297	4	−2ϑ2qµ	−2ϑ2qµ	NOUN
ejpam-6698	297	5	2	2	NUM
ejpam-6698	297	6	+	+	NUM
ejpam-6698	297	7	ϑ3q	ϑ3q	NOUN
ejpam-6698	297	8	(	(	PUNCT
ejpam-6698	297	9	3	3	NUM
ejpam-6698	297	10	+	+	SYM
ejpam-6698	297	11	3(5	3(5	NUM
ejpam-6698	297	12	+	+	NUM
ejpam-6698	297	13	8q)µ+	8q)µ+	ADJ
ejpam-6698	297	14	8(1	8(1	NOUN
ejpam-6698	297	15	+	+	CCONJ
ejpam-6698	297	16	2q)µ2	2q)µ2	NUM
ejpam-6698	297	17	)	)	PUNCT
ejpam-6698	297	18	)	)	PUNCT
ejpam-6698	298	1	+	+	CCONJ
ejpam-6698	298	2	2q4	2q4	NUM
ejpam-6698	298	3	(	(	PUNCT
ejpam-6698	298	4	ϑ2q(−1	ϑ2q(−1	X
ejpam-6698	298	5	+	+	X
ejpam-6698	298	6	µ	µ	X
ejpam-6698	298	7	)	)	PUNCT
ejpam-6698	298	8	+	+	CCONJ
ejpam-6698	298	9	2ϑ3q(3	2ϑ3q(3	NUM
ejpam-6698	298	10	+	+	CCONJ
ejpam-6698	298	11	µ+	µ+	X
ejpam-6698	298	12	2q(2	2q(2	NUM
ejpam-6698	298	13	+	+	SYM
ejpam-6698	298	14	µ	µ	NOUN
ejpam-6698	298	15	)	)	PUNCT
ejpam-6698	298	16	)	)	PUNCT
ejpam-6698	298	17	)	)	PUNCT
ejpam-6698	298	18	]	]	PUNCT
ejpam-6698	298	19	,	,	PUNCT
ejpam-6698	298	20	y(2−	y(2−	PROPN
ejpam-6698	298	21	)	)	PUNCT
ejpam-6698	298	22	=	=	SYM
ejpam-6698	298	23	ϑ2q	ϑ2q	NOUN
ejpam-6698	298	24	(	(	PUNCT
ejpam-6698	298	25	q	q	SYM
ejpam-6698	298	26	+	+	NUM
ejpam-6698	298	27	q2	q2	NOUN
ejpam-6698	298	28	+	+	CCONJ
ejpam-6698	298	29	µ)2	µ)2	NOUN
ejpam-6698	298	30	+	+	CCONJ
ejpam-6698	298	31	x1	x1	PROPN
ejpam-6698	299	1	+	+	NUM
ejpam-6698	299	2	6x2c	6x2c	NUM
ejpam-6698	299	3	2	2	NUM
ejpam-6698	299	4	6(q	6(q	NUM
ejpam-6698	299	5	+	+	CCONJ
ejpam-6698	299	6	µ)4(q	µ)4(q	ADP
ejpam-6698	299	7	+	+	NUM
ejpam-6698	299	8	q2	q2	NOUN
ejpam-6698	299	9	+	+	CCONJ
ejpam-6698	299	10	µ)2(q	µ)2(q	PROPN
ejpam-6698	299	11	+	+	CCONJ
ejpam-6698	299	12	q2	q2	NOUN
ejpam-6698	299	13	+	+	CCONJ
ejpam-6698	299	14	q3	q3	PROPN
ejpam-6698	299	15	+	+	CCONJ
ejpam-6698	299	16	µ	µ	NOUN
ejpam-6698	299	17	)	)	PUNCT
ejpam-6698	299	18	,	,	PUNCT
ejpam-6698	299	19	and	and	CCONJ
ejpam-6698	299	20	y	y	PROPN
ejpam-6698	299	21	(	(	PUNCT
ejpam-6698	299	22	√	√	INTJ
ejpam-6698	299	23	−12x2	−12x2	SYM
ejpam-6698	299	24	x1	x1	NUM
ejpam-6698	299	25	)	)	PUNCT
ejpam-6698	300	1	=	=	PUNCT
ejpam-6698	300	2	ϑ2q	ϑ2q	NOUN
ejpam-6698	300	3	(	(	PUNCT
ejpam-6698	300	4	q	q	SYM
ejpam-6698	300	5	+	+	NUM
ejpam-6698	300	6	q2	q2	NOUN
ejpam-6698	300	7	+	+	CCONJ
ejpam-6698	300	8	µ)2	µ)2	NOUN
ejpam-6698	300	9	−	−	NOUN
ejpam-6698	300	10	3x	3x	NUM
ejpam-6698	300	11	2	2	NUM
ejpam-6698	300	12	2	2	NUM
ejpam-6698	300	13	2x1(q	2x1(q	NUM
ejpam-6698	300	14	+	+	CCONJ
ejpam-6698	300	15	µ)4(q	µ)4(q	X
ejpam-6698	300	16	+	+	NUM
ejpam-6698	300	17	q2	q2	NOUN
ejpam-6698	300	18	+	+	CCONJ
ejpam-6698	300	19	µ)2(q	µ)2(q	PROPN
ejpam-6698	300	20	+	+	CCONJ
ejpam-6698	300	21	q2	q2	NOUN
ejpam-6698	300	22	+	+	CCONJ
ejpam-6698	300	23	q3	q3	PROPN
ejpam-6698	300	24	+	+	CCONJ
ejpam-6698	300	25	µ	µ	NOUN
ejpam-6698	300	26	)	)	PUNCT
ejpam-6698	300	27	.	.	PUNCT
ejpam-6698	301	1	proof	proof	NOUN
ejpam-6698	301	2	.	.	PUNCT
ejpam-6698	302	1	let	let	VERB
ejpam-6698	302	2	f	f	PROPN
ejpam-6698	302	3	∈	∈	PROPN
ejpam-6698	302	4	bς(µ	bς(µ	PROPN
ejpam-6698	302	5	,	,	PUNCT
ejpam-6698	302	6	q	q	NOUN
ejpam-6698	302	7	)	)	PUNCT
ejpam-6698	302	8	.	.	PUNCT
ejpam-6698	303	1	by	by	ADP
ejpam-6698	303	2	employing	employ	VERB
ejpam-6698	303	3	an	an	DET
ejpam-6698	303	4	argument	argument	NOUN
ejpam-6698	303	5	analogous	analogous	ADJ
ejpam-6698	303	6	to	to	ADP
ejpam-6698	303	7	that	that	PRON
ejpam-6698	303	8	used	use	VERB
ejpam-6698	303	9	in	in	ADP
ejpam-6698	303	10	the	the	DET
ejpam-6698	303	11	proof	proof	NOUN
ejpam-6698	303	12	of	of	ADP
ejpam-6698	303	13	theorem	theorem	ADJ
ejpam-6698	303	14	1	1	NUM
ejpam-6698	303	15	,	,	PUNCT
ejpam-6698	303	16	subtracting	subtract	VERB
ejpam-6698	303	17	equation	equation	NOUN
ejpam-6698	303	18	(	(	PUNCT
ejpam-6698	303	19	33	33	NUM
ejpam-6698	303	20	)	)	PUNCT
ejpam-6698	303	21	from	from	ADP
ejpam-6698	303	22	(	(	PUNCT
ejpam-6698	303	23	30	30	NUM
ejpam-6698	303	24	)	)	PUNCT
ejpam-6698	303	25	and	and	CCONJ
ejpam-6698	303	26	utilizing	utilize	VERB
ejpam-6698	303	27	(	(	PUNCT
ejpam-6698	303	28	34	34	NUM
ejpam-6698	303	29	)	)	PUNCT
ejpam-6698	303	30	and	and	CCONJ
ejpam-6698	303	31	(	(	PUNCT
ejpam-6698	303	32	40	40	NUM
ejpam-6698	303	33	)	)	PUNCT
ejpam-6698	303	34	yields	yield	NOUN
ejpam-6698	303	35	a4	a4	NOUN
ejpam-6698	303	36	=	=	SYM
ejpam-6698	303	37	1	1	NUM
ejpam-6698	303	38	−1	−1	NOUN
ejpam-6698	303	39	+	+	NOUN
ejpam-6698	303	40	⌈4⌋	⌈4⌋	PROPN
ejpam-6698	303	41	q	q	PROPN
ejpam-6698	303	42	+	+	NUM
ejpam-6698	303	43	µ	µ	X
ejpam-6698	303	44	(	(	PUNCT
ejpam-6698	303	45	−1	−1	NOUN
ejpam-6698	303	46	8	8	NUM
ejpam-6698	303	47	ϑq	ϑq	INTJ
ejpam-6698	303	48	(	(	PUNCT
ejpam-6698	303	49	−4ℓ3	−4ℓ3	NUM
ejpam-6698	303	50	−	−	NOUN
ejpam-6698	303	51	ℓ31	ℓ31	VERB
ejpam-6698	303	52	+	+	NUM
ejpam-6698	303	53	4ℓ1τ2	4ℓ1τ2	NOUN
ejpam-6698	303	54	+	+	CCONJ
ejpam-6698	303	55	4τ3	4τ3	NUM
ejpam-6698	304	1	+	+	CCONJ
ejpam-6698	304	2	2ℓ31ϑq	2ℓ31ϑq	NUM
ejpam-6698	304	3	−	−	NUM
ejpam-6698	304	4	4ℓ1τ2ϑq	4ℓ1τ2ϑq	NUM
ejpam-6698	305	1	+	+	CCONJ
ejpam-6698	305	2	4ℓ31qϑq	4ℓ31qϑq	NUM
ejpam-6698	305	3	−	−	PROPN
ejpam-6698	306	1	8ℓ1τ2qϑq	8ℓ1τ2qϑq	NUM
ejpam-6698	306	2	a.	a.	NOUN
ejpam-6698	306	3	alsoboh	alsoboh	PROPN
ejpam-6698	306	4	et	et	PROPN
ejpam-6698	306	5	al	al	PROPN
ejpam-6698	306	6	.	.	PUNCT
ejpam-6698	306	7	/	/	SYM
ejpam-6698	306	8	eur	eur	PROPN
ejpam-6698	306	9	.	.	PUNCT
ejpam-6698	307	1	j.	j.	PROPN
ejpam-6698	307	2	pure	pure	PROPN
ejpam-6698	307	3	appl	appl	PROPN
ejpam-6698	307	4	.	.	PROPN
ejpam-6698	307	5	math	math	PROPN
ejpam-6698	307	6	,	,	PUNCT
ejpam-6698	307	7	18	18	NUM
ejpam-6698	307	8	(	(	PUNCT
ejpam-6698	307	9	3	3	NUM
ejpam-6698	307	10	)	)	PUNCT
ejpam-6698	307	11	(	(	PUNCT
ejpam-6698	307	12	2025	2025	NUM
ejpam-6698	307	13	)	)	PUNCT
ejpam-6698	307	14	,	,	PUNCT
ejpam-6698	307	15	6698	6698	NUM
ejpam-6698	307	16	17	17	NUM
ejpam-6698	307	17	of	of	ADP
ejpam-6698	307	18	25	25	NUM
ejpam-6698	307	19	−	−	NOUN
ejpam-6698	307	20	ℓ31ϑ	ℓ31ϑ	ADJ
ejpam-6698	307	21	2	2	NUM
ejpam-6698	307	22	q	q	NOUN
ejpam-6698	307	23	−	−	NUM
ejpam-6698	308	1	3ℓ31qϑ	3ℓ31qϑ	NUM
ejpam-6698	308	2	2	2	NUM
ejpam-6698	308	3	q	q	NOUN
ejpam-6698	308	4	−	−	PROPN
ejpam-6698	308	5	4ℓ1ℓ2(−1	4ℓ1ℓ2(−1	PROPN
ejpam-6698	309	1	+	+	CCONJ
ejpam-6698	309	2	ϑq	ϑq	PRON
ejpam-6698	309	3	+	+	NOUN
ejpam-6698	309	4	2qϑq	2qϑq	NUM
ejpam-6698	309	5	)	)	PUNCT
ejpam-6698	309	6	−	−	NOUN
ejpam-6698	310	1	ℓ31	ℓ31	NOUN
ejpam-6698	310	2	(	(	PUNCT
ejpam-6698	310	3	1	1	NUM
ejpam-6698	310	4	−	−	NUM
ejpam-6698	310	5	2(1	2(1	NUM
ejpam-6698	310	6	+	+	NUM
ejpam-6698	310	7	2q)ϑq	2q)ϑq	NUM
ejpam-6698	310	8	+	+	CCONJ
ejpam-6698	310	9	(	(	PUNCT
ejpam-6698	310	10	1	1	NUM
ejpam-6698	310	11	+	+	CCONJ
ejpam-6698	310	12	3q)ϑ2q	3q)ϑ2q	NOUN
ejpam-6698	310	13	)	)	PUNCT
ejpam-6698	310	14	)	)	PUNCT
ejpam-6698	311	1	−	−	ADP
ejpam-6698	311	2	1	1	NUM
ejpam-6698	311	3	48(−1	48(−1	NUM
ejpam-6698	311	4	+	+	CCONJ
ejpam-6698	311	5	⌈2⌋q	⌈2⌋q	NUM
ejpam-6698	311	6	+	+	CCONJ
ejpam-6698	311	7	µ)3(−1	µ)3(−1	X
ejpam-6698	311	8	+	+	CCONJ
ejpam-6698	311	9	⌈3⌋q	⌈3⌋q	NUM
ejpam-6698	311	10	+	+	CCONJ
ejpam-6698	311	11	µ	µ	X
ejpam-6698	311	12	)	)	PUNCT
ejpam-6698	311	13	ℓ1ϑ	ℓ1ϑ	NOUN
ejpam-6698	311	14	2	2	NUM
ejpam-6698	311	15	q(−1	q(−1	NOUN
ejpam-6698	311	16	+	+	X
ejpam-6698	311	17	µ	µ	X
ejpam-6698	311	18	)	)	PUNCT
ejpam-6698	311	19	(	(	PUNCT
ejpam-6698	311	20	6ℓ2(−1	6ℓ2(−1	X
ejpam-6698	311	21	+	+	CCONJ
ejpam-6698	311	22	⌈2⌋	⌈2⌋	NUM
ejpam-6698	311	23	q	q	NOUN
ejpam-6698	312	1	+	+	NUM
ejpam-6698	312	2	µ)2(−2	µ)2(−2	X
ejpam-6698	312	3	+	+	X
ejpam-6698	313	1	⌈2⌋	⌈2⌋	NUM
ejpam-6698	314	1	q	q	NOUN
ejpam-6698	315	1	+	+	CCONJ
ejpam-6698	315	2	⌈3⌋	⌈3⌋	PROPN
ejpam-6698	315	3	q	q	X
ejpam-6698	315	4	+	+	NUM
ejpam-6698	315	5	µ	µ	X
ejpam-6698	315	6	)	)	PUNCT
ejpam-6698	315	7	−	−	PROPN
ejpam-6698	315	8	6τ2(−1	6τ2(−1	PROPN
ejpam-6698	315	9	+	+	X
ejpam-6698	315	10	⌈2⌋	⌈2⌋	NUM
ejpam-6698	315	11	q	q	PUNCT
ejpam-6698	316	1	+	+	NUM
ejpam-6698	316	2	µ)2(−2	µ)2(−2	X
ejpam-6698	316	3	+	+	X
ejpam-6698	317	1	⌈2⌋	⌈2⌋	NUM
ejpam-6698	318	1	q	q	NOUN
ejpam-6698	319	1	+	+	CCONJ
ejpam-6698	319	2	⌈3⌋	⌈3⌋	PROPN
ejpam-6698	319	3	q	q	X
ejpam-6698	319	4	+	+	NUM
ejpam-6698	319	5	µ	µ	X
ejpam-6698	319	6	)	)	PUNCT
ejpam-6698	320	1	+	+	NUM
ejpam-6698	320	2	ℓ21ϑq(−1	ℓ21ϑq(−1	X
ejpam-6698	321	1	+	+	CCONJ
ejpam-6698	321	2	⌈3⌋	⌈3⌋	PROPN
ejpam-6698	321	3	q	q	PROPN
ejpam-6698	322	1	+	+	CCONJ
ejpam-6698	322	2	µ)(−6	µ)(−6	PROPN
ejpam-6698	322	3	+	+	CCONJ
ejpam-6698	322	4	6⌈3⌋	6⌈3⌋	NUM
ejpam-6698	322	5	q	q	NOUN
ejpam-6698	323	1	+	+	NUM
ejpam-6698	323	2	µ+	µ+	X
ejpam-6698	323	3	3⌈2⌋	3⌈2⌋	NUM
ejpam-6698	323	4	q	q	PROPN
ejpam-6698	323	5	µ	µ	X
ejpam-6698	323	6	+	+	CCONJ
ejpam-6698	323	7	µ2	µ2	PROPN
ejpam-6698	323	8	)	)	PUNCT
ejpam-6698	323	9	)	)	PUNCT
ejpam-6698	323	10	)	)	PUNCT
ejpam-6698	323	11	.	.	PUNCT
ejpam-6698	324	1	since	since	SCONJ
ejpam-6698	324	2	⌈2⌋q	⌈2⌋q	PRON
ejpam-6698	324	3	=	=	PUNCT
ejpam-6698	324	4	q	q	PROPN
ejpam-6698	324	5	+	+	NUM
ejpam-6698	324	6	1	1	NUM
ejpam-6698	324	7	,	,	PUNCT
ejpam-6698	324	8	⌈3⌋q	⌈3⌋q	NUM
ejpam-6698	324	9	=	=	SYM
ejpam-6698	324	10	q2	q2	NOUN
ejpam-6698	324	11	+	+	CCONJ
ejpam-6698	324	12	q	q	PROPN
ejpam-6698	324	13	+	+	NUM
ejpam-6698	324	14	1	1	NUM
ejpam-6698	324	15	,	,	PUNCT
ejpam-6698	324	16	and	and	CCONJ
ejpam-6698	324	17	⌈4⌋q	⌈4⌋q	PROPN
ejpam-6698	324	18	=	=	SYM
ejpam-6698	324	19	q3	q3	PROPN
ejpam-6698	324	20	+	+	CCONJ
ejpam-6698	324	21	q2	q2	NOUN
ejpam-6698	324	22	+	+	CCONJ
ejpam-6698	324	23	q	q	NOUN
ejpam-6698	324	24	+	+	NUM
ejpam-6698	324	25	1	1	NUM
ejpam-6698	324	26	,	,	PUNCT
ejpam-6698	324	27	then	then	ADV
ejpam-6698	324	28	,	,	PUNCT
ejpam-6698	324	29	after	after	ADP
ejpam-6698	324	30	some	some	DET
ejpam-6698	324	31	simplifications	simplification	NOUN
ejpam-6698	324	32	,	,	PUNCT
ejpam-6698	324	33	we	we	PRON
ejpam-6698	324	34	obtain	obtain	VERB
ejpam-6698	324	35	a4	a4	NOUN
ejpam-6698	324	36	=	=	SYM
ejpam-6698	324	37	ϑq(ℓ3	ϑq(ℓ3	NOUN
ejpam-6698	324	38	−	−	PROPN
ejpam-6698	324	39	τ3	τ3	NOUN
ejpam-6698	324	40	)	)	PUNCT
ejpam-6698	324	41	2(q3	2(q3	NUM
ejpam-6698	325	1	+	+	NUM
ejpam-6698	325	2	q2	q2	NOUN
ejpam-6698	325	3	+	+	CCONJ
ejpam-6698	325	4	q	q	PROPN
ejpam-6698	325	5	+	+	NUM
ejpam-6698	325	6	µ	µ	X
ejpam-6698	325	7	)	)	PUNCT
ejpam-6698	325	8	−	−	PROPN
ejpam-6698	326	1	ϑq(1	ϑq(1	NOUN
ejpam-6698	326	2	−	−	PROPN
ejpam-6698	326	3	ϑq	ϑq	VERB
ejpam-6698	326	4	−	−	PROPN
ejpam-6698	326	5	2qϑq)ℓ1(ℓ2	2qϑq)ℓ1(ℓ2	PROPN
ejpam-6698	327	1	+	+	CCONJ
ejpam-6698	327	2	τ2	τ2	ADJ
ejpam-6698	327	3	)	)	PUNCT
ejpam-6698	327	4	2(q3	2(q3	NUM
ejpam-6698	328	1	+	+	NUM
ejpam-6698	328	2	q2	q2	NOUN
ejpam-6698	328	3	+	+	CCONJ
ejpam-6698	328	4	q	q	PROPN
ejpam-6698	328	5	+	+	NUM
ejpam-6698	328	6	µ	µ	X
ejpam-6698	328	7	)	)	PUNCT
ejpam-6698	328	8	+	+	CCONJ
ejpam-6698	328	9	ϑ2q(µ−	ϑ2q(µ−	NUM
ejpam-6698	328	10	1)(q2	1)(q2	NUM
ejpam-6698	329	1	+	+	CCONJ
ejpam-6698	329	2	2q	2q	NUM
ejpam-6698	329	3	+	+	CCONJ
ejpam-6698	329	4	µ)ℓ1(ℓ2	µ)ℓ1(ℓ2	ADJ
ejpam-6698	329	5	−	−	PROPN
ejpam-6698	329	6	τ2	τ2	NOUN
ejpam-6698	329	7	)	)	PUNCT
ejpam-6698	329	8	8(q	8(q	NUM
ejpam-6698	330	1	+	+	CCONJ
ejpam-6698	330	2	µ)(q2	µ)(q2	NOUN
ejpam-6698	330	3	+	+	SYM
ejpam-6698	330	4	q	q	NOUN
ejpam-6698	330	5	+	+	CCONJ
ejpam-6698	330	6	µ)(q3	µ)(q3	SYM
ejpam-6698	330	7	+	+	NUM
ejpam-6698	330	8	q2	q2	NOUN
ejpam-6698	330	9	+	+	CCONJ
ejpam-6698	330	10	q	q	PROPN
ejpam-6698	330	11	+	+	NUM
ejpam-6698	330	12	µ	µ	X
ejpam-6698	330	13	)	)	PUNCT
ejpam-6698	330	14	+	+	CCONJ
ejpam-6698	330	15	(	(	PUNCT
ejpam-6698	330	16	−	−	NUM
ejpam-6698	330	17	ϑq(−2	ϑq(−2	NOUN
ejpam-6698	330	18	+	+	X
ejpam-6698	330	19	4ϑq	4ϑq	NOUN
ejpam-6698	331	1	+	+	CCONJ
ejpam-6698	332	1	8qϑq	8qϑq	NUM
ejpam-6698	332	2	−	−	NOUN
ejpam-6698	332	3	2ϑ2q	2ϑ2q	NUM
ejpam-6698	333	1	−	−	PROPN
ejpam-6698	333	2	6qϑ2q	6qϑ2q	NUM
ejpam-6698	333	3	)	)	PUNCT
ejpam-6698	333	4	8(q3	8(q3	PROPN
ejpam-6698	334	1	+	+	NUM
ejpam-6698	334	2	q2	q2	NOUN
ejpam-6698	334	3	+	+	CCONJ
ejpam-6698	334	4	q	q	PROPN
ejpam-6698	334	5	+	+	NUM
ejpam-6698	334	6	µ	µ	X
ejpam-6698	334	7	)	)	PUNCT
ejpam-6698	334	8	−	−	NOUN
ejpam-6698	334	9	ϑ3q(−1	ϑ3q(−1	X
ejpam-6698	335	1	+	+	PUNCT
ejpam-6698	335	2	µ)(6q2	µ)(6q2	PROPN
ejpam-6698	335	3	+	+	CCONJ
ejpam-6698	335	4	6q	6q	NOUN
ejpam-6698	335	5	+	+	CCONJ
ejpam-6698	335	6	3qµ+	3qµ+	NUM
ejpam-6698	335	7	4µ+	4µ+	NUM
ejpam-6698	335	8	µ2	µ2	PROPN
ejpam-6698	335	9	)	)	PUNCT
ejpam-6698	335	10	48(q	48(q	NUM
ejpam-6698	336	1	+	+	CCONJ
ejpam-6698	336	2	µ)3(q3	µ)3(q3	NOUN
ejpam-6698	336	3	+	+	NUM
ejpam-6698	336	4	q2	q2	NOUN
ejpam-6698	336	5	+	+	CCONJ
ejpam-6698	336	6	q	q	PROPN
ejpam-6698	336	7	+	+	NUM
ejpam-6698	336	8	µ	µ	NOUN
ejpam-6698	336	9	)	)	PUNCT
ejpam-6698	336	10	)	)	PUNCT
ejpam-6698	336	11	ℓ31	ℓ31	PROPN
ejpam-6698	336	12	.	.	PUNCT
ejpam-6698	337	1	(	(	PUNCT
ejpam-6698	337	2	46	46	NUM
ejpam-6698	337	3	)	)	PUNCT
ejpam-6698	337	4	therefore	therefore	ADV
ejpam-6698	337	5	,	,	PUNCT
ejpam-6698	337	6	by	by	ADP
ejpam-6698	337	7	using	use	VERB
ejpam-6698	337	8	(	(	PUNCT
ejpam-6698	337	9	34	34	NUM
ejpam-6698	337	10	)	)	PUNCT
ejpam-6698	337	11	,	,	PUNCT
ejpam-6698	337	12	(	(	PUNCT
ejpam-6698	337	13	40	40	NUM
ejpam-6698	337	14	)	)	PUNCT
ejpam-6698	337	15	,	,	PUNCT
ejpam-6698	337	16	and	and	CCONJ
ejpam-6698	337	17	(	(	PUNCT
ejpam-6698	337	18	46	46	NUM
ejpam-6698	337	19	)	)	PUNCT
ejpam-6698	337	20	,	,	PUNCT
ejpam-6698	337	21	we	we	PRON
ejpam-6698	337	22	deduce	deduce	VERB
ejpam-6698	337	23	that	that	SCONJ
ejpam-6698	337	24	a2a4	a2a4	ADP
ejpam-6698	337	25	−	−	PROPN
ejpam-6698	337	26	a23	a23	PROPN
ejpam-6698	337	27	=	=	SYM
ejpam-6698	337	28	ϑ4q(1	ϑ4q(1	PROPN
ejpam-6698	337	29	−	−	PROPN
ejpam-6698	337	30	µ	µ	X
ejpam-6698	337	31	)	)	PUNCT
ejpam-6698	337	32	(	(	PUNCT
ejpam-6698	338	1	6q2	6q2	NUM
ejpam-6698	338	2	+	+	CCONJ
ejpam-6698	338	3	3q(2	3q(2	NUM
ejpam-6698	338	4	+	+	NUM
ejpam-6698	338	5	µ	µ	X
ejpam-6698	338	6	)	)	PUNCT
ejpam-6698	338	7	+	+	CCONJ
ejpam-6698	338	8	µ(4	µ(4	PROPN
ejpam-6698	338	9	+	+	NUM
ejpam-6698	338	10	µ	µ	X
ejpam-6698	338	11	)	)	PUNCT
ejpam-6698	338	12	)	)	PUNCT
ejpam-6698	338	13	+12(q	+12(q	PROPN
ejpam-6698	339	1	+	+	CCONJ
ejpam-6698	339	2	µ)3ϑ2q	µ)3ϑ2q	VERB
ejpam-6698	339	3	[	[	PUNCT
ejpam-6698	339	4	1	1	NUM
ejpam-6698	339	5	−	−	NUM
ejpam-6698	339	6	2(1	2(1	NUM
ejpam-6698	339	7	+	+	NUM
ejpam-6698	339	8	2q)ϑq	2q)ϑq	NUM
ejpam-6698	339	9	+	+	CCONJ
ejpam-6698	339	10	(	(	PUNCT
ejpam-6698	339	11	1	1	NUM
ejpam-6698	339	12	+	+	NUM
ejpam-6698	339	13	3q)ϑ2q	3q)ϑ2q	NOUN
ejpam-6698	339	14	]	]	PUNCT
ejpam-6698	339	15	−	−	PROPN
ejpam-6698	339	16	6ϑ4q(q	6ϑ4q(q	PROPN
ejpam-6698	339	17	+	+	NUM
ejpam-6698	339	18	q2	q2	NOUN
ejpam-6698	339	19	+	+	CCONJ
ejpam-6698	339	20	q3	q3	PROPN
ejpam-6698	339	21	+	+	CCONJ
ejpam-6698	339	22	µ	µ	X
ejpam-6698	339	23	)	)	PUNCT
ejpam-6698	339	24	96(q	96(q	NUM
ejpam-6698	340	1	+	+	CCONJ
ejpam-6698	340	2	µ)4(q	µ)4(q	ADP
ejpam-6698	340	3	+	+	NUM
ejpam-6698	340	4	q2	q2	NOUN
ejpam-6698	340	5	+	+	CCONJ
ejpam-6698	340	6	q3	q3	PROPN
ejpam-6698	340	7	+	+	CCONJ
ejpam-6698	340	8	µ	µ	NOUN
ejpam-6698	340	9	)	)	PUNCT
ejpam-6698	340	10	ℓ41	ℓ41	NOUN
ejpam-6698	340	11	−	−	NOUN
ejpam-6698	340	12	ϑ2q(ℓ2	ϑ2q(ℓ2	ADJ
ejpam-6698	340	13	−	−	PROPN
ejpam-6698	340	14	τ2	τ2	NOUN
ejpam-6698	340	15	)	)	PUNCT
ejpam-6698	340	16	2	2	NUM
ejpam-6698	340	17	16(q	16(q	NUM
ejpam-6698	340	18	+	+	NUM
ejpam-6698	340	19	q2	q2	NOUN
ejpam-6698	340	20	+	+	CCONJ
ejpam-6698	340	21	µ)2	µ)2	NOUN
ejpam-6698	340	22	−	−	PROPN
ejpam-6698	340	23	ϑ3q(1	ϑ3q(1	ADJ
ejpam-6698	340	24	+	+	NUM
ejpam-6698	340	25	2q	2q	NUM
ejpam-6698	340	26	+	+	CCONJ
ejpam-6698	340	27	2q2	2q2	NUM
ejpam-6698	341	1	+	+	SYM
ejpam-6698	341	2	2q3	2q3	NUM
ejpam-6698	341	3	+	+	CCONJ
ejpam-6698	341	4	µ)ℓ21(ℓ2	µ)ℓ21(ℓ2	CCONJ
ejpam-6698	341	5	−	−	ADP
ejpam-6698	341	6	τ2	τ2	NOUN
ejpam-6698	341	7	)	)	PUNCT
ejpam-6698	341	8	16(q	16(q	NUM
ejpam-6698	342	1	+	+	NUM
ejpam-6698	342	2	µ)2(q	µ)2(q	PROPN
ejpam-6698	342	3	+	+	NUM
ejpam-6698	342	4	q2	q2	NOUN
ejpam-6698	342	5	+	+	X
ejpam-6698	342	6	µ)(q	µ)(q	PUNCT
ejpam-6698	342	7	+	+	CCONJ
ejpam-6698	342	8	q2	q2	NOUN
ejpam-6698	342	9	+	+	CCONJ
ejpam-6698	342	10	q3	q3	PROPN
ejpam-6698	342	11	+	+	CCONJ
ejpam-6698	342	12	µ	µ	X
ejpam-6698	342	13	)	)	PUNCT
ejpam-6698	342	14	−	−	PROPN
ejpam-6698	342	15	(	(	PUNCT
ejpam-6698	342	16	ϑ2q	ϑ2q	NOUN
ejpam-6698	342	17	−	−	ADP
ejpam-6698	342	18	ϑ3q	ϑ3q	NOUN
ejpam-6698	342	19	−	−	PROPN
ejpam-6698	342	20	2qϑ3q)ℓ	2qϑ3q)ℓ	NOUN
ejpam-6698	342	21	2	2	NUM
ejpam-6698	342	22	1(ℓ2	1(ℓ2	NUM
ejpam-6698	342	23	+	+	CCONJ
ejpam-6698	342	24	τ2	τ2	ADJ
ejpam-6698	342	25	)	)	PUNCT
ejpam-6698	342	26	4(q	4(q	NUM
ejpam-6698	343	1	+	+	CCONJ
ejpam-6698	343	2	µ)(q	µ)(q	PUNCT
ejpam-6698	343	3	+	+	CCONJ
ejpam-6698	343	4	q2	q2	NOUN
ejpam-6698	343	5	+	+	CCONJ
ejpam-6698	343	6	q3	q3	PROPN
ejpam-6698	343	7	+	+	CCONJ
ejpam-6698	343	8	µ	µ	X
ejpam-6698	343	9	)	)	PUNCT
ejpam-6698	343	10	+	+	NUM
ejpam-6698	343	11	ϑ2qℓ1(ℓ3	ϑ2qℓ1(ℓ3	NOUN
ejpam-6698	343	12	−	−	PROPN
ejpam-6698	343	13	τ3	τ3	NOUN
ejpam-6698	343	14	)	)	PUNCT
ejpam-6698	343	15	4(q	4(q	NUM
ejpam-6698	344	1	+	+	CCONJ
ejpam-6698	344	2	µ)(q	µ)(q	PUNCT
ejpam-6698	344	3	+	+	CCONJ
ejpam-6698	344	4	q2	q2	NOUN
ejpam-6698	344	5	+	+	CCONJ
ejpam-6698	344	6	q3	q3	PROPN
ejpam-6698	344	7	+	+	CCONJ
ejpam-6698	344	8	µ	µ	NOUN
ejpam-6698	344	9	)	)	PUNCT
ejpam-6698	344	10	.	.	PUNCT
ejpam-6698	345	1	(	(	PUNCT
ejpam-6698	345	2	47	47	NUM
ejpam-6698	345	3	)	)	PUNCT
ejpam-6698	345	4	from	from	ADP
ejpam-6698	345	5	lemma	lemma	PROPN
ejpam-6698	345	6	1	1	NUM
ejpam-6698	345	7	,	,	PUNCT
ejpam-6698	345	8	it	it	PRON
ejpam-6698	345	9	can	can	AUX
ejpam-6698	345	10	be	be	AUX
ejpam-6698	345	11	concluded	conclude	VERB
ejpam-6698	345	12	that	that	SCONJ
ejpam-6698	345	13	2ℓ2	2ℓ2	NUM
ejpam-6698	345	14	=	=	SYM
ejpam-6698	345	15	ℓ21	ℓ21	VERB
ejpam-6698	345	16	+	+	CCONJ
ejpam-6698	345	17	(	(	PUNCT
ejpam-6698	345	18	4	4	NUM
ejpam-6698	345	19	−	−	PROPN
ejpam-6698	345	20	ℓ21)x	ℓ21)x	NOUN
ejpam-6698	345	21	,	,	PUNCT
ejpam-6698	345	22	and	and	CCONJ
ejpam-6698	345	23	2τ2	2τ2	NUM
ejpam-6698	345	24	=	=	SYM
ejpam-6698	345	25	τ21	τ21	PROPN
ejpam-6698	346	1	+	+	CCONJ
ejpam-6698	346	2	(	(	PUNCT
ejpam-6698	346	3	4	4	NUM
ejpam-6698	346	4	−	−	PROPN
ejpam-6698	346	5	τ21	τ21	PROPN
ejpam-6698	346	6	)	)	PUNCT
ejpam-6698	347	1	y.	y.	PROPN
ejpam-6698	347	2	therefore	therefore	ADV
ejpam-6698	347	3	,	,	PUNCT
ejpam-6698	347	4	in	in	ADP
ejpam-6698	347	5	view	view	NOUN
ejpam-6698	347	6	of	of	ADP
ejpam-6698	347	7	(	(	PUNCT
ejpam-6698	347	8	35	35	NUM
ejpam-6698	347	9	)	)	PUNCT
ejpam-6698	347	10	,	,	PUNCT
ejpam-6698	347	11	we	we	PRON
ejpam-6698	347	12	obtain	obtain	VERB
ejpam-6698	347	13	ℓ2	ℓ2	NOUN
ejpam-6698	347	14	−	−	PROPN
ejpam-6698	347	15	τ2	τ2	NOUN
ejpam-6698	347	16	=	=	NOUN
ejpam-6698	347	17	4	4	NUM
ejpam-6698	347	18	−	−	NOUN
ejpam-6698	347	19	ℓ21	ℓ21	NOUN
ejpam-6698	347	20	2	2	NUM
ejpam-6698	347	21	(	(	PUNCT
ejpam-6698	347	22	x−	x−	PROPN
ejpam-6698	347	23	y	y	PROPN
ejpam-6698	347	24	)	)	PUNCT
ejpam-6698	347	25	,	,	PUNCT
ejpam-6698	347	26	(	(	PUNCT
ejpam-6698	347	27	48	48	NUM
ejpam-6698	347	28	)	)	PUNCT
ejpam-6698	347	29	and	and	CCONJ
ejpam-6698	347	30	ℓ2	ℓ2	PROPN
ejpam-6698	347	31	+	+	CCONJ
ejpam-6698	347	32	τ2	τ2	NOUN
ejpam-6698	347	33	=	=	PUNCT
ejpam-6698	347	34	ℓ21	ℓ21	NOUN
ejpam-6698	347	35	+	+	CCONJ
ejpam-6698	347	36	4	4	NUM
ejpam-6698	347	37	−	−	NOUN
ejpam-6698	347	38	ℓ21	ℓ21	NOUN
ejpam-6698	347	39	2	2	NUM
ejpam-6698	347	40	(	(	PUNCT
ejpam-6698	347	41	x+	x+	PROPN
ejpam-6698	347	42	y	y	NOUN
ejpam-6698	347	43	)	)	PUNCT
ejpam-6698	347	44	.	.	PUNCT
ejpam-6698	348	1	(	(	PUNCT
ejpam-6698	348	2	49	49	NUM
ejpam-6698	348	3	)	)	PUNCT
ejpam-6698	348	4	moreover	moreover	ADV
ejpam-6698	348	5	,	,	PUNCT
ejpam-6698	348	6	we	we	PRON
ejpam-6698	348	7	have	have	VERB
ejpam-6698	348	8	4ℓ3	4ℓ3	NUM
ejpam-6698	348	9	=	=	SYM
ejpam-6698	348	10	ℓ31	ℓ31	VERB
ejpam-6698	349	1	+	+	CCONJ
ejpam-6698	350	1	2(4	2(4	NUM
ejpam-6698	350	2	−	−	NOUN
ejpam-6698	350	3	ℓ21)ℓ1x−	ℓ21)ℓ1x−	ADP
ejpam-6698	350	4	ℓ1(4	ℓ1(4	X
ejpam-6698	350	5	−	−	PROPN
ejpam-6698	350	6	ℓ21)x	ℓ21)x	NOUN
ejpam-6698	350	7	2	2	NUM
ejpam-6698	350	8	+	+	SYM
ejpam-6698	350	9	2(4	2(4	NUM
ejpam-6698	350	10	−	−	NOUN
ejpam-6698	350	11	ℓ21)(1	ℓ21)(1	NOUN
ejpam-6698	351	1	−	−	PROPN
ejpam-6698	351	2	|x|2)z	|x|2)z	PROPN
ejpam-6698	351	3	,	,	PUNCT
ejpam-6698	351	4	a.	a.	NOUN
ejpam-6698	351	5	alsoboh	alsoboh	PROPN
ejpam-6698	351	6	et	et	PROPN
ejpam-6698	351	7	al	al	PROPN
ejpam-6698	351	8	.	.	PUNCT
ejpam-6698	351	9	/	/	SYM
ejpam-6698	351	10	eur	eur	PROPN
ejpam-6698	351	11	.	.	PUNCT
ejpam-6698	352	1	j.	j.	PROPN
ejpam-6698	352	2	pure	pure	PROPN
ejpam-6698	352	3	appl	appl	PROPN
ejpam-6698	352	4	.	.	PROPN
ejpam-6698	352	5	math	math	PROPN
ejpam-6698	352	6	,	,	PUNCT
ejpam-6698	352	7	18	18	NUM
ejpam-6698	352	8	(	(	PUNCT
ejpam-6698	352	9	3	3	NUM
ejpam-6698	352	10	)	)	PUNCT
ejpam-6698	352	11	(	(	PUNCT
ejpam-6698	352	12	2025	2025	NUM
ejpam-6698	352	13	)	)	PUNCT
ejpam-6698	352	14	,	,	PUNCT
ejpam-6698	352	15	6698	6698	NUM
ejpam-6698	352	16	18	18	NUM
ejpam-6698	352	17	of	of	ADP
ejpam-6698	352	18	25	25	NUM
ejpam-6698	352	19	and	and	CCONJ
ejpam-6698	352	20	4τ3	4τ3	NUM
ejpam-6698	352	21	=	=	SYM
ejpam-6698	352	22	τ31	τ31	NOUN
ejpam-6698	352	23	+	+	CCONJ
ejpam-6698	352	24	2(4	2(4	NUM
ejpam-6698	352	25	−	−	PROPN
ejpam-6698	352	26	τ21	τ21	PROPN
ejpam-6698	352	27	)	)	PUNCT
ejpam-6698	352	28	τ1y	τ1y	PROPN
ejpam-6698	353	1	−	−	ADP
ejpam-6698	353	2	τ1(4	τ1(4	NOUN
ejpam-6698	353	3	−	−	PROPN
ejpam-6698	353	4	τ21	τ21	NOUN
ejpam-6698	353	5	)	)	PUNCT
ejpam-6698	353	6	y2	y2	PROPN
ejpam-6698	354	1	+	+	CCONJ
ejpam-6698	354	2	2(4	2(4	NUM
ejpam-6698	354	3	−	−	PROPN
ejpam-6698	354	4	τ21	τ21	PROPN
ejpam-6698	354	5	)	)	PUNCT
ejpam-6698	354	6	(	(	PUNCT
ejpam-6698	354	7	1	1	NUM
ejpam-6698	354	8	−	−	PROPN
ejpam-6698	354	9	|y|2)w	|y|2)w	PROPN
ejpam-6698	354	10	.	.	PUNCT
ejpam-6698	355	1	for	for	ADP
ejpam-6698	355	2	some	some	DET
ejpam-6698	355	3	x	x	NOUN
ejpam-6698	355	4	,	,	PUNCT
ejpam-6698	355	5	y	y	PROPN
ejpam-6698	355	6	,	,	PUNCT
ejpam-6698	355	7	z	z	PROPN
ejpam-6698	355	8	and	and	CCONJ
ejpam-6698	355	9	w	w	PROPN
ejpam-6698	355	10	,	,	PUNCT
ejpam-6698	355	11	with	with	ADP
ejpam-6698	355	12	max{|x|	max{|x|	NOUN
ejpam-6698	355	13	,	,	PUNCT
ejpam-6698	355	14	|y|	|y|	ADJ
ejpam-6698	355	15	,	,	PUNCT
ejpam-6698	355	16	|z|	|z|	NOUN
ejpam-6698	355	17	,	,	PUNCT
ejpam-6698	355	18	|w|	|w|	NOUN
ejpam-6698	355	19	}	}	PUNCT
ejpam-6698	355	20	≤	≤	NUM
ejpam-6698	355	21	1	1	NUM
ejpam-6698	355	22	,	,	PUNCT
ejpam-6698	355	23	and	and	CCONJ
ejpam-6698	355	24	ℓ1	ℓ1	NOUN
ejpam-6698	355	25	,	,	PUNCT
ejpam-6698	355	26	τ1	τ1	ADP
ejpam-6698	355	27	∈	∈	PROPN
ejpam-6698	356	1	[	[	X
ejpam-6698	356	2	0	0	NUM
ejpam-6698	356	3	,	,	PUNCT
ejpam-6698	356	4	2	2	NUM
ejpam-6698	356	5	]	]	PUNCT
ejpam-6698	356	6	.	.	PUNCT
ejpam-6698	357	1	thus	thus	ADV
ejpam-6698	357	2	,	,	PUNCT
ejpam-6698	357	3	we	we	PRON
ejpam-6698	357	4	have	have	VERB
ejpam-6698	357	5	ℓ3−τ3	ℓ3−τ3	PROPN
ejpam-6698	357	6	=	=	PRON
ejpam-6698	357	7	ℓ31	ℓ31	VERB
ejpam-6698	357	8	2	2	NUM
ejpam-6698	357	9	+	+	CCONJ
ejpam-6698	357	10	ℓ1(4	ℓ1(4	PROPN
ejpam-6698	357	11	−	−	PROPN
ejpam-6698	357	12	ℓ21	ℓ21	NOUN
ejpam-6698	357	13	)	)	PUNCT
ejpam-6698	357	14	2	2	NUM
ejpam-6698	357	15	(	(	PUNCT
ejpam-6698	357	16	x+y)−	x+y)−	PROPN
ejpam-6698	357	17	ℓ1(4	ℓ1(4	PROPN
ejpam-6698	357	18	−	−	PROPN
ejpam-6698	357	19	ℓ21	ℓ21	PROPN
ejpam-6698	357	20	)	)	PUNCT
ejpam-6698	357	21	4	4	NUM
ejpam-6698	357	22	(	(	PUNCT
ejpam-6698	357	23	x2+y2)+	x2+y2)+	PROPN
ejpam-6698	357	24	4	4	NUM
ejpam-6698	357	25	−	−	NOUN
ejpam-6698	357	26	ℓ21	ℓ21	NOUN
ejpam-6698	357	27	2	2	NUM
ejpam-6698	357	28	[	[	PUNCT
ejpam-6698	357	29	(	(	PUNCT
ejpam-6698	357	30	1	1	NUM
ejpam-6698	357	31	−	−	NOUN
ejpam-6698	357	32	|x|2)z	|x|2)z	X
ejpam-6698	357	33	−	−	PROPN
ejpam-6698	357	34	(	(	PUNCT
ejpam-6698	357	35	1	1	NUM
ejpam-6698	357	36	−	−	PROPN
ejpam-6698	357	37	|y|2)w	|y|2)w	PROPN
ejpam-6698	357	38	]	]	PUNCT
ejpam-6698	357	39	.	.	PUNCT
ejpam-6698	358	1	(	(	PUNCT
ejpam-6698	358	2	50	50	NUM
ejpam-6698	358	3	)	)	PUNCT
ejpam-6698	358	4	in	in	ADP
ejpam-6698	358	5	addition	addition	NOUN
ejpam-6698	358	6	,	,	PUNCT
ejpam-6698	358	7	the	the	DET
ejpam-6698	358	8	substitution	substitution	NOUN
ejpam-6698	358	9	of	of	ADP
ejpam-6698	358	10	(	(	PUNCT
ejpam-6698	358	11	48)-(50	48)-(50	NOUN
ejpam-6698	358	12	)	)	PUNCT
ejpam-6698	358	13	into	into	ADP
ejpam-6698	358	14	(	(	PUNCT
ejpam-6698	358	15	47	47	NUM
ejpam-6698	358	16	)	)	PUNCT
ejpam-6698	358	17	yields	yield	NOUN
ejpam-6698	358	18	a2a4	a2a4	NOUN
ejpam-6698	358	19	−	−	PROPN
ejpam-6698	358	20	a23	a23	PROPN
ejpam-6698	358	21	=	=	PUNCT
ejpam-6698	358	22	ℓ41ϑ	ℓ41ϑ	PROPN
ejpam-6698	358	23	4	4	NUM
ejpam-6698	358	24	q	q	NOUN
ejpam-6698	358	25	(	(	PUNCT
ejpam-6698	358	26	6q3(1	6q3(1	NUM
ejpam-6698	358	27	+	+	NUM
ejpam-6698	358	28	6q	6q	NUM
ejpam-6698	358	29	)	)	PUNCT
ejpam-6698	359	1	+	+	CCONJ
ejpam-6698	359	2	6q2(5	6q2(5	NUM
ejpam-6698	359	3	+	+	CCONJ
ejpam-6698	359	4	18q)µ+	18q)µ+	NUM
ejpam-6698	359	5	3qµ(−1	3qµ(−1	NUM
ejpam-6698	359	6	+	+	CCONJ
ejpam-6698	359	7	(	(	PUNCT
ejpam-6698	359	8	11	11	NUM
ejpam-6698	359	9	+	+	CCONJ
ejpam-6698	359	10	36q)µ	36q)µ	NUM
ejpam-6698	359	11	)	)	PUNCT
ejpam-6698	359	12	+	+	NUM
ejpam-6698	359	13	µ(−2	µ(−2	NOUN
ejpam-6698	359	14	+	+	X
ejpam-6698	359	15	µ(−3	µ(−3	NOUN
ejpam-6698	359	16	+	+	CCONJ
ejpam-6698	359	17	(	(	PUNCT
ejpam-6698	359	18	11	11	NUM
ejpam-6698	359	19	+	+	CCONJ
ejpam-6698	359	20	36q)µ	36q)µ	NUM
ejpam-6698	359	21	)	)	PUNCT
ejpam-6698	359	22	)	)	PUNCT
ejpam-6698	359	23	)	)	PUNCT
ejpam-6698	360	1	96(q	96(q	NUM
ejpam-6698	361	1	+	+	CCONJ
ejpam-6698	361	2	µ)4(q	µ)4(q	ADP
ejpam-6698	361	3	+	+	NUM
ejpam-6698	361	4	q2	q2	NOUN
ejpam-6698	361	5	+	+	CCONJ
ejpam-6698	361	6	q3	q3	PROPN
ejpam-6698	361	7	+	+	CCONJ
ejpam-6698	361	8	µ	µ	X
ejpam-6698	361	9	)	)	PUNCT
ejpam-6698	362	1	+	+	CCONJ
ejpam-6698	362	2	(	(	PUNCT
ejpam-6698	362	3	−ϑ3q(1	−ϑ3q(1	NOUN
ejpam-6698	362	4	+	+	X
ejpam-6698	362	5	2q	2q	NUM
ejpam-6698	362	6	+	+	CCONJ
ejpam-6698	362	7	2q2	2q2	NUM
ejpam-6698	362	8	+	+	SYM
ejpam-6698	362	9	2q3	2q3	NUM
ejpam-6698	362	10	+	+	NUM
ejpam-6698	362	11	µ)(x−	µ)(x−	NOUN
ejpam-6698	362	12	y	y	NOUN
ejpam-6698	362	13	)	)	PUNCT
ejpam-6698	362	14	32(q	32(q	PROPN
ejpam-6698	363	1	+	+	CCONJ
ejpam-6698	363	2	µ)2(q	µ)2(q	PROPN
ejpam-6698	364	1	+	+	NUM
ejpam-6698	364	2	q2	q2	NOUN
ejpam-6698	364	3	+	+	X
ejpam-6698	364	4	µ)(q	µ)(q	PUNCT
ejpam-6698	364	5	+	+	CCONJ
ejpam-6698	364	6	q2	q2	NOUN
ejpam-6698	364	7	+	+	CCONJ
ejpam-6698	364	8	q3	q3	PROPN
ejpam-6698	364	9	+	+	CCONJ
ejpam-6698	364	10	µ	µ	X
ejpam-6698	364	11	)	)	PUNCT
ejpam-6698	364	12	−	−	PROPN
ejpam-6698	364	13	(	(	PUNCT
ejpam-6698	364	14	−ϑ3q	−ϑ3q	NUM
ejpam-6698	364	15	−	−	PROPN
ejpam-6698	364	16	2qϑ3q)(x+	2qϑ3q)(x+	NUM
ejpam-6698	364	17	y	y	NOUN
ejpam-6698	364	18	)	)	PUNCT
ejpam-6698	364	19	8(q	8(q	NUM
ejpam-6698	364	20	+	+	CCONJ
ejpam-6698	364	21	µ)(q	µ)(q	X
ejpam-6698	364	22	+	+	CCONJ
ejpam-6698	364	23	q2	q2	NOUN
ejpam-6698	364	24	+	+	CCONJ
ejpam-6698	364	25	q3	q3	PROPN
ejpam-6698	364	26	+	+	CCONJ
ejpam-6698	364	27	µ	µ	NOUN
ejpam-6698	364	28	)	)	PUNCT
ejpam-6698	364	29	)	)	PUNCT
ejpam-6698	364	30	ℓ21(4	ℓ21(4	PROPN
ejpam-6698	364	31	−	−	PROPN
ejpam-6698	364	32	ℓ21	ℓ21	NOUN
ejpam-6698	364	33	)	)	PUNCT
ejpam-6698	364	34	−	−	NOUN
ejpam-6698	364	35	ϑ2qℓ	ϑ2qℓ	SYM
ejpam-6698	364	36	2	2	NUM
ejpam-6698	364	37	1(4	1(4	NUM
ejpam-6698	364	38	−	−	ADP
ejpam-6698	364	39	ℓ21	ℓ21	NOUN
ejpam-6698	364	40	)	)	PUNCT
ejpam-6698	364	41	16(q	16(q	NUM
ejpam-6698	365	1	+	+	NUM
ejpam-6698	365	2	µ)(q	µ)(q	X
ejpam-6698	365	3	+	+	CCONJ
ejpam-6698	365	4	q2	q2	NOUN
ejpam-6698	365	5	+	+	CCONJ
ejpam-6698	365	6	q3	q3	PROPN
ejpam-6698	365	7	+	+	CCONJ
ejpam-6698	365	8	µ	µ	X
ejpam-6698	365	9	)	)	PUNCT
ejpam-6698	365	10	(	(	PUNCT
ejpam-6698	365	11	x2	x2	PROPN
ejpam-6698	365	12	+	+	CCONJ
ejpam-6698	365	13	y2	y2	NOUN
ejpam-6698	365	14	)	)	PUNCT
ejpam-6698	366	1	−	−	PROPN
ejpam-6698	366	2	ϑ2q(4	ϑ2q(4	PROPN
ejpam-6698	366	3	−	−	PROPN
ejpam-6698	366	4	ℓ21	ℓ21	PROPN
ejpam-6698	366	5	)	)	PUNCT
ejpam-6698	366	6	2(x−	2(x−	PROPN
ejpam-6698	366	7	y)2	y)2	VERB
ejpam-6698	366	8	64(q	64(q	NUM
ejpam-6698	367	1	+	+	NUM
ejpam-6698	367	2	q2	q2	NOUN
ejpam-6698	367	3	+	+	CCONJ
ejpam-6698	367	4	µ)2	µ)2	PROPN
ejpam-6698	367	5	+	+	NUM
ejpam-6698	367	6	ϑ2q(4	ϑ2q(4	PROPN
ejpam-6698	367	7	−	−	PROPN
ejpam-6698	367	8	ℓ21)ℓ1	ℓ21)ℓ1	NOUN
ejpam-6698	367	9	8(q	8(q	NUM
ejpam-6698	367	10	+	+	NUM
ejpam-6698	367	11	µ)(q	µ)(q	X
ejpam-6698	367	12	+	+	CCONJ
ejpam-6698	367	13	q2	q2	NOUN
ejpam-6698	367	14	+	+	CCONJ
ejpam-6698	367	15	q3	q3	PROPN
ejpam-6698	367	16	+	+	CCONJ
ejpam-6698	367	17	µ	µ	X
ejpam-6698	367	18	)	)	PUNCT
ejpam-6698	367	19	[	[	PUNCT
ejpam-6698	367	20	(	(	PUNCT
ejpam-6698	367	21	1	1	NUM
ejpam-6698	367	22	−	−	NOUN
ejpam-6698	367	23	|x|2)z	|x|2)z	X
ejpam-6698	367	24	−	−	PROPN
ejpam-6698	367	25	(	(	PUNCT
ejpam-6698	367	26	1	1	NUM
ejpam-6698	367	27	−	−	PROPN
ejpam-6698	367	28	|y|2)w	|y|2)w	PROPN
ejpam-6698	367	29	]	]	PUNCT
ejpam-6698	367	30	.	.	PUNCT
ejpam-6698	368	1	hence	hence	ADV
ejpam-6698	368	2	,	,	PUNCT
ejpam-6698	368	3	|a2a4	|a2a4	PROPN
ejpam-6698	368	4	−	−	PROPN
ejpam-6698	368	5	a23|	a23|	PROPN
ejpam-6698	368	6	≤∣∣∣∣∣ϑ4q	≤∣∣∣∣∣ϑ4q	PROPN
ejpam-6698	368	7	(	(	PUNCT
ejpam-6698	368	8	6q3(1	6q3(1	NUM
ejpam-6698	368	9	+	+	NUM
ejpam-6698	368	10	6q	6q	NUM
ejpam-6698	368	11	)	)	PUNCT
ejpam-6698	369	1	+	+	CCONJ
ejpam-6698	369	2	6q2(5	6q2(5	NUM
ejpam-6698	369	3	+	+	CCONJ
ejpam-6698	369	4	18q)µ+	18q)µ+	NUM
ejpam-6698	369	5	3qµ(−1	3qµ(−1	NUM
ejpam-6698	369	6	+	+	CCONJ
ejpam-6698	369	7	(	(	PUNCT
ejpam-6698	369	8	11	11	NUM
ejpam-6698	369	9	+	+	CCONJ
ejpam-6698	369	10	36q)µ	36q)µ	NUM
ejpam-6698	369	11	)	)	PUNCT
ejpam-6698	369	12	+	+	NUM
ejpam-6698	369	13	µ(−2	µ(−2	NOUN
ejpam-6698	369	14	+	+	X
ejpam-6698	369	15	µ(−3	µ(−3	NOUN
ejpam-6698	369	16	+	+	CCONJ
ejpam-6698	369	17	(	(	PUNCT
ejpam-6698	369	18	11	11	NUM
ejpam-6698	369	19	+	+	CCONJ
ejpam-6698	369	20	36q)µ	36q)µ	NUM
ejpam-6698	369	21	)	)	PUNCT
ejpam-6698	369	22	)	)	PUNCT
ejpam-6698	369	23	)	)	PUNCT
ejpam-6698	370	1	96(q	96(q	NUM
ejpam-6698	371	1	+	+	CCONJ
ejpam-6698	371	2	µ)4(q	µ)4(q	ADP
ejpam-6698	371	3	+	+	NUM
ejpam-6698	371	4	q2	q2	NOUN
ejpam-6698	371	5	+	+	CCONJ
ejpam-6698	371	6	q3	q3	PROPN
ejpam-6698	371	7	+	+	CCONJ
ejpam-6698	371	8	µ	µ	NOUN
ejpam-6698	371	9	)	)	PUNCT
ejpam-6698	371	10	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-6698	371	11	ℓ41	ℓ41	NOUN
ejpam-6698	371	12	+	+	CCONJ
ejpam-6698	371	13	(	(	PUNCT
ejpam-6698	371	14	−4(1	−4(1	NOUN
ejpam-6698	371	15	+	+	CCONJ
ejpam-6698	371	16	2q)(q	2q)(q	NUM
ejpam-6698	371	17	+	+	CCONJ
ejpam-6698	371	18	µ)(q	µ)(q	PUNCT
ejpam-6698	371	19	+	+	CCONJ
ejpam-6698	371	20	q2	q2	NOUN
ejpam-6698	371	21	+	+	CCONJ
ejpam-6698	371	22	µ)ϑ3q	µ)ϑ3q	PROPN
ejpam-6698	372	1	−	−	NOUN
ejpam-6698	372	2	ϑ3q[1	ϑ3q[1	NOUN
ejpam-6698	372	3	+	+	CCONJ
ejpam-6698	372	4	2q(1	2q(1	NUM
ejpam-6698	373	1	+	+	CCONJ
ejpam-6698	373	2	q	q	NOUN
ejpam-6698	373	3	+	+	NUM
ejpam-6698	373	4	q2	q2	NOUN
ejpam-6698	373	5	)	)	PUNCT
ejpam-6698	373	6	+	+	CCONJ
ejpam-6698	373	7	µ	µ	X
ejpam-6698	373	8	]	]	PUNCT
ejpam-6698	373	9	)	)	PUNCT
ejpam-6698	373	10	32(q	32(q	PROPN
ejpam-6698	374	1	+	+	CCONJ
ejpam-6698	374	2	µ)2(q	µ)2(q	PROPN
ejpam-6698	375	1	+	+	NUM
ejpam-6698	375	2	q2	q2	NOUN
ejpam-6698	375	3	+	+	X
ejpam-6698	375	4	µ)(q	µ)(q	PUNCT
ejpam-6698	375	5	+	+	CCONJ
ejpam-6698	375	6	q2	q2	NOUN
ejpam-6698	375	7	+	+	CCONJ
ejpam-6698	375	8	q3	q3	PROPN
ejpam-6698	375	9	+	+	CCONJ
ejpam-6698	375	10	µ	µ	X
ejpam-6698	375	11	)	)	PUNCT
ejpam-6698	375	12	ℓ21(4	ℓ21(4	NOUN
ejpam-6698	375	13	−	−	NOUN
ejpam-6698	375	14	ℓ21)(|x|	ℓ21)(|x|	NOUN
ejpam-6698	375	15	+	+	CCONJ
ejpam-6698	375	16	|y|	|y|	ADJ
ejpam-6698	375	17	)	)	PUNCT
ejpam-6698	376	1	+	+	CCONJ
ejpam-6698	376	2	ϑ2qℓ	ϑ2qℓ	SYM
ejpam-6698	376	3	2	2	NUM
ejpam-6698	376	4	1(4	1(4	NUM
ejpam-6698	376	5	−	−	ADP
ejpam-6698	376	6	ℓ21	ℓ21	NOUN
ejpam-6698	376	7	)	)	PUNCT
ejpam-6698	376	8	16(q	16(q	NUM
ejpam-6698	377	1	+	+	NUM
ejpam-6698	377	2	µ)(q	µ)(q	X
ejpam-6698	377	3	+	+	CCONJ
ejpam-6698	377	4	q2	q2	NOUN
ejpam-6698	377	5	+	+	CCONJ
ejpam-6698	377	6	q3	q3	PROPN
ejpam-6698	377	7	+	+	CCONJ
ejpam-6698	377	8	µ	µ	X
ejpam-6698	377	9	)	)	PUNCT
ejpam-6698	377	10	(	(	PUNCT
ejpam-6698	377	11	|x|2	|x|2	PROPN
ejpam-6698	377	12	+	+	CCONJ
ejpam-6698	377	13	|y|2	|y|2	ADJ
ejpam-6698	377	14	)	)	PUNCT
ejpam-6698	377	15	+	+	NUM
ejpam-6698	377	16	ϑ2q(4	ϑ2q(4	PROPN
ejpam-6698	377	17	−	−	PROPN
ejpam-6698	377	18	ℓ21)2	ℓ21)2	VERB
ejpam-6698	377	19	64(q	64(q	NUM
ejpam-6698	377	20	+	+	NUM
ejpam-6698	377	21	q2	q2	NOUN
ejpam-6698	377	22	+	+	CCONJ
ejpam-6698	377	23	µ)2	µ)2	NOUN
ejpam-6698	377	24	(	(	PUNCT
ejpam-6698	377	25	|x|	|x|	PROPN
ejpam-6698	377	26	+	+	CCONJ
ejpam-6698	377	27	|y|)2	|y|)2	PROPN
ejpam-6698	377	28	+	+	NUM
ejpam-6698	377	29	ϑ2q(4	ϑ2q(4	PROPN
ejpam-6698	377	30	−	−	PROPN
ejpam-6698	377	31	ℓ21)ℓ1	ℓ21)ℓ1	NOUN
ejpam-6698	377	32	8(q	8(q	NUM
ejpam-6698	377	33	+	+	NUM
ejpam-6698	377	34	µ)(q	µ)(q	X
ejpam-6698	377	35	+	+	CCONJ
ejpam-6698	377	36	q2	q2	NOUN
ejpam-6698	377	37	+	+	CCONJ
ejpam-6698	377	38	q3	q3	PROPN
ejpam-6698	377	39	+	+	CCONJ
ejpam-6698	377	40	µ	µ	X
ejpam-6698	377	41	)	)	PUNCT
ejpam-6698	377	42	(	(	PUNCT
ejpam-6698	377	43	2	2	NUM
ejpam-6698	377	44	−	−	NOUN
ejpam-6698	377	45	(	(	PUNCT
ejpam-6698	377	46	|x|2	|x|2	PROPN
ejpam-6698	377	47	+	+	CCONJ
ejpam-6698	377	48	|y|2	|y|2	ADJ
ejpam-6698	377	49	)	)	PUNCT
ejpam-6698	377	50	)	)	PUNCT
ejpam-6698	378	1	=	=	SYM
ejpam-6698	378	2	∣∣∣∣∣ϑ4q	∣∣∣∣∣ϑ4q	PROPN
ejpam-6698	378	3	(	(	PUNCT
ejpam-6698	378	4	6q3(1	6q3(1	NUM
ejpam-6698	378	5	+	+	NUM
ejpam-6698	378	6	6q	6q	NUM
ejpam-6698	378	7	)	)	PUNCT
ejpam-6698	379	1	+	+	CCONJ
ejpam-6698	379	2	6q2(5	6q2(5	NUM
ejpam-6698	379	3	+	+	CCONJ
ejpam-6698	379	4	18q)µ+	18q)µ+	NUM
ejpam-6698	379	5	3qµ(−1	3qµ(−1	NUM
ejpam-6698	379	6	+	+	CCONJ
ejpam-6698	379	7	(	(	PUNCT
ejpam-6698	379	8	11	11	NUM
ejpam-6698	379	9	+	+	CCONJ
ejpam-6698	379	10	36q)µ	36q)µ	NUM
ejpam-6698	379	11	)	)	PUNCT
ejpam-6698	379	12	+	+	NUM
ejpam-6698	379	13	µ(−2	µ(−2	NOUN
ejpam-6698	379	14	+	+	X
ejpam-6698	379	15	µ(−3	µ(−3	NOUN
ejpam-6698	379	16	+	+	CCONJ
ejpam-6698	379	17	(	(	PUNCT
ejpam-6698	379	18	11	11	NUM
ejpam-6698	379	19	+	+	CCONJ
ejpam-6698	379	20	36q)µ	36q)µ	NUM
ejpam-6698	379	21	)	)	PUNCT
ejpam-6698	379	22	)	)	PUNCT
ejpam-6698	379	23	)	)	PUNCT
ejpam-6698	380	1	96(q	96(q	NUM
ejpam-6698	381	1	+	+	CCONJ
ejpam-6698	381	2	µ)4(q	µ)4(q	ADP
ejpam-6698	381	3	+	+	NUM
ejpam-6698	381	4	q2	q2	NOUN
ejpam-6698	381	5	+	+	CCONJ
ejpam-6698	381	6	q3	q3	PROPN
ejpam-6698	381	7	+	+	CCONJ
ejpam-6698	381	8	µ	µ	NOUN
ejpam-6698	381	9	)	)	PUNCT
ejpam-6698	382	1	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-6698	382	2	ℓ41	ℓ41	NOUN
ejpam-6698	382	3	+	+	CCONJ
ejpam-6698	382	4	2ϑ2q(4	2ϑ2q(4	PROPN
ejpam-6698	382	5	−	−	PROPN
ejpam-6698	382	6	ℓ21)ℓ1	ℓ21)ℓ1	NOUN
ejpam-6698	382	7	8(q	8(q	NUM
ejpam-6698	382	8	+	+	NUM
ejpam-6698	382	9	µ)(q	µ)(q	X
ejpam-6698	382	10	+	+	CCONJ
ejpam-6698	382	11	q2	q2	NOUN
ejpam-6698	382	12	+	+	CCONJ
ejpam-6698	382	13	q3	q3	PROPN
ejpam-6698	382	14	+	+	CCONJ
ejpam-6698	382	15	µ	µ	X
ejpam-6698	382	16	)	)	PUNCT
ejpam-6698	383	1	+	+	CCONJ
ejpam-6698	383	2	(	(	PUNCT
ejpam-6698	383	3	−4(1	−4(1	NOUN
ejpam-6698	383	4	+	+	CCONJ
ejpam-6698	383	5	2q)(q	2q)(q	NUM
ejpam-6698	383	6	+	+	CCONJ
ejpam-6698	383	7	µ)(q	µ)(q	PUNCT
ejpam-6698	383	8	+	+	CCONJ
ejpam-6698	383	9	q2	q2	NOUN
ejpam-6698	383	10	+	+	CCONJ
ejpam-6698	383	11	µ)ϑ3q	µ)ϑ3q	PROPN
ejpam-6698	384	1	−	−	NOUN
ejpam-6698	384	2	ϑ3q[1	ϑ3q[1	NOUN
ejpam-6698	384	3	+	+	CCONJ
ejpam-6698	384	4	2q(1	2q(1	NUM
ejpam-6698	385	1	+	+	CCONJ
ejpam-6698	385	2	q	q	NOUN
ejpam-6698	385	3	+	+	NUM
ejpam-6698	385	4	q2	q2	NOUN
ejpam-6698	385	5	)	)	PUNCT
ejpam-6698	385	6	+	+	CCONJ
ejpam-6698	385	7	µ	µ	X
ejpam-6698	385	8	]	]	PUNCT
ejpam-6698	385	9	)	)	PUNCT
ejpam-6698	385	10	32(q	32(q	PROPN
ejpam-6698	386	1	+	+	CCONJ
ejpam-6698	386	2	µ)2(q	µ)2(q	PROPN
ejpam-6698	387	1	+	+	NUM
ejpam-6698	387	2	q2	q2	NOUN
ejpam-6698	387	3	+	+	X
ejpam-6698	387	4	µ)(q	µ)(q	PUNCT
ejpam-6698	387	5	+	+	CCONJ
ejpam-6698	387	6	q2	q2	NOUN
ejpam-6698	387	7	+	+	CCONJ
ejpam-6698	387	8	q3	q3	PROPN
ejpam-6698	387	9	+	+	CCONJ
ejpam-6698	387	10	µ	µ	X
ejpam-6698	387	11	)	)	PUNCT
ejpam-6698	387	12	ℓ21(4	ℓ21(4	NOUN
ejpam-6698	387	13	−	−	NOUN
ejpam-6698	387	14	ℓ21)(|x|	ℓ21)(|x|	NOUN
ejpam-6698	387	15	+	+	CCONJ
ejpam-6698	387	16	|y|	|y|	ADJ
ejpam-6698	387	17	)	)	PUNCT
ejpam-6698	388	1	+	+	CCONJ
ejpam-6698	388	2	ϑ2qℓ1(ℓ1	ϑ2qℓ1(ℓ1	NOUN
ejpam-6698	388	3	−	−	PROPN
ejpam-6698	388	4	2)(4	2)(4	NUM
ejpam-6698	388	5	−	−	NOUN
ejpam-6698	388	6	ℓ21	ℓ21	NOUN
ejpam-6698	388	7	)	)	PUNCT
ejpam-6698	388	8	16(q	16(q	NUM
ejpam-6698	389	1	+	+	NUM
ejpam-6698	389	2	µ)(q	µ)(q	X
ejpam-6698	389	3	+	+	CCONJ
ejpam-6698	389	4	q2	q2	NOUN
ejpam-6698	389	5	+	+	CCONJ
ejpam-6698	389	6	q3	q3	PROPN
ejpam-6698	389	7	+	+	CCONJ
ejpam-6698	389	8	µ	µ	X
ejpam-6698	389	9	)	)	PUNCT
ejpam-6698	389	10	(	(	PUNCT
ejpam-6698	389	11	|x|2	|x|2	PROPN
ejpam-6698	389	12	+	+	CCONJ
ejpam-6698	389	13	|y|2	|y|2	ADJ
ejpam-6698	389	14	)	)	PUNCT
ejpam-6698	389	15	+	+	NUM
ejpam-6698	389	16	ϑ2q(4	ϑ2q(4	PROPN
ejpam-6698	389	17	−	−	PROPN
ejpam-6698	389	18	ℓ21)2	ℓ21)2	VERB
ejpam-6698	389	19	64(q	64(q	NUM
ejpam-6698	389	20	+	+	NUM
ejpam-6698	389	21	q2	q2	NOUN
ejpam-6698	389	22	+	+	CCONJ
ejpam-6698	389	23	µ)2	µ)2	NOUN
ejpam-6698	389	24	(	(	PUNCT
ejpam-6698	389	25	|x|	|x|	PROPN
ejpam-6698	389	26	+	+	CCONJ
ejpam-6698	389	27	|y|)2	|y|)2	NOUN
ejpam-6698	389	28	.	.	PUNCT
ejpam-6698	390	1	letting	let	VERB
ejpam-6698	390	2	|x|	|x|	PROPN
ejpam-6698	390	3	=	=	SYM
ejpam-6698	390	4	ϵ1	ϵ1	PROPN
ejpam-6698	390	5	,	,	PUNCT
ejpam-6698	390	6	|y|	|y|	PROPN
ejpam-6698	390	7	=	=	SYM
ejpam-6698	390	8	ϵ2	ϵ2	ADJ
ejpam-6698	390	9	,	,	PUNCT
ejpam-6698	390	10	and	and	CCONJ
ejpam-6698	390	11	ℓ1	ℓ1	NOUN
ejpam-6698	390	12	=	=	SYM
ejpam-6698	390	13	c	c	NOUN
ejpam-6698	390	14	,	,	PUNCT
ejpam-6698	390	15	the	the	DET
ejpam-6698	390	16	following	following	ADJ
ejpam-6698	390	17	result	result	NOUN
ejpam-6698	390	18	can	can	AUX
ejpam-6698	390	19	be	be	AUX
ejpam-6698	390	20	derived	derive	VERB
ejpam-6698	390	21	straightforwardly	straightforwardly	ADV
ejpam-6698	390	22	:	:	PUNCT
ejpam-6698	390	23	|a2a4	|a2a4	PROPN
ejpam-6698	390	24	−	−	PROPN
ejpam-6698	390	25	a23|	a23|	PROPN
ejpam-6698	390	26	≤	≤	PUNCT
ejpam-6698	390	27	λ1	λ1	ADJ
ejpam-6698	390	28	+	+	CCONJ
ejpam-6698	390	29	λ2(ϵ1	λ2(ϵ1	NOUN
ejpam-6698	390	30	+	+	CCONJ
ejpam-6698	390	31	ϵ2	ϵ2	ADJ
ejpam-6698	390	32	)	)	PUNCT
ejpam-6698	391	1	+	+	CCONJ
ejpam-6698	391	2	λ3(ϵ	λ3(ϵ	PROPN
ejpam-6698	391	3	2	2	NUM
ejpam-6698	391	4	1	1	NUM
ejpam-6698	391	5	+	+	CCONJ
ejpam-6698	391	6	ϵ22	ϵ22	NOUN
ejpam-6698	391	7	)	)	PUNCT
ejpam-6698	391	8	+	+	CCONJ
ejpam-6698	391	9	λ4(ϵ1	λ4(ϵ1	NUM
ejpam-6698	391	10	+	+	CCONJ
ejpam-6698	391	11	ϵ2	ϵ2	ADJ
ejpam-6698	391	12	)	)	PUNCT
ejpam-6698	391	13	2	2	NUM
ejpam-6698	391	14	=	=	NOUN
ejpam-6698	391	15	:	:	PUNCT
ejpam-6698	391	16	f(ϵ1	f(ϵ1	ADJ
ejpam-6698	391	17	,	,	PUNCT
ejpam-6698	391	18	ϵ2	ϵ2	PROPN
ejpam-6698	391	19	)	)	PUNCT
ejpam-6698	391	20	,	,	PUNCT
ejpam-6698	391	21	a.	a.	PROPN
ejpam-6698	391	22	alsoboh	alsoboh	PROPN
ejpam-6698	391	23	et	et	PROPN
ejpam-6698	391	24	al	al	PROPN
ejpam-6698	391	25	.	.	PUNCT
ejpam-6698	391	26	/	/	SYM
ejpam-6698	391	27	eur	eur	PROPN
ejpam-6698	391	28	.	.	PUNCT
ejpam-6698	392	1	j.	j.	PROPN
ejpam-6698	392	2	pure	pure	PROPN
ejpam-6698	392	3	appl	appl	PROPN
ejpam-6698	392	4	.	.	PROPN
ejpam-6698	392	5	math	math	PROPN
ejpam-6698	392	6	,	,	PUNCT
ejpam-6698	392	7	18	18	NUM
ejpam-6698	392	8	(	(	PUNCT
ejpam-6698	392	9	3	3	NUM
ejpam-6698	392	10	)	)	PUNCT
ejpam-6698	392	11	(	(	PUNCT
ejpam-6698	392	12	2025	2025	NUM
ejpam-6698	392	13	)	)	PUNCT
ejpam-6698	392	14	,	,	PUNCT
ejpam-6698	392	15	6698	6698	NUM
ejpam-6698	392	16	19	19	NUM
ejpam-6698	392	17	of	of	ADP
ejpam-6698	392	18	25	25	NUM
ejpam-6698	392	19	where	where	SCONJ
ejpam-6698	392	20	λ1(c	λ1(c	NOUN
ejpam-6698	392	21	)	)	PUNCT
ejpam-6698	392	22	=	=	SYM
ejpam-6698	392	23	∣∣∣∣∣ϑ4q	∣∣∣∣∣ϑ4q	PROPN
ejpam-6698	392	24	(	(	PUNCT
ejpam-6698	392	25	6q3(1	6q3(1	NUM
ejpam-6698	392	26	+	+	NUM
ejpam-6698	392	27	6q	6q	NUM
ejpam-6698	392	28	)	)	PUNCT
ejpam-6698	393	1	+	+	CCONJ
ejpam-6698	393	2	6q2(5	6q2(5	NUM
ejpam-6698	393	3	+	+	CCONJ
ejpam-6698	393	4	18q)µ+	18q)µ+	NUM
ejpam-6698	393	5	3qµ(−1	3qµ(−1	NUM
ejpam-6698	393	6	+	+	CCONJ
ejpam-6698	393	7	(	(	PUNCT
ejpam-6698	393	8	11	11	NUM
ejpam-6698	393	9	+	+	CCONJ
ejpam-6698	393	10	36q)µ	36q)µ	NUM
ejpam-6698	393	11	)	)	PUNCT
ejpam-6698	393	12	+	+	NUM
ejpam-6698	393	13	µ(−2	µ(−2	NOUN
ejpam-6698	393	14	+	+	X
ejpam-6698	393	15	µ(−3	µ(−3	NOUN
ejpam-6698	393	16	+	+	CCONJ
ejpam-6698	393	17	(	(	PUNCT
ejpam-6698	393	18	11	11	NUM
ejpam-6698	393	19	+	+	CCONJ
ejpam-6698	393	20	36q)µ	36q)µ	NUM
ejpam-6698	393	21	)	)	PUNCT
ejpam-6698	393	22	)	)	PUNCT
ejpam-6698	393	23	)	)	PUNCT
ejpam-6698	394	1	96(q	96(q	NUM
ejpam-6698	395	1	+	+	CCONJ
ejpam-6698	395	2	µ)4(q	µ)4(q	ADP
ejpam-6698	395	3	+	+	NUM
ejpam-6698	395	4	q2	q2	NOUN
ejpam-6698	395	5	+	+	CCONJ
ejpam-6698	395	6	q3	q3	PROPN
ejpam-6698	395	7	+	+	CCONJ
ejpam-6698	395	8	µ	µ	NOUN
ejpam-6698	395	9	)	)	PUNCT
ejpam-6698	395	10	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-6698	395	11	c4	c4	NOUN
ejpam-6698	395	12	+	+	CCONJ
ejpam-6698	395	13	2ϑ2q(4	2ϑ2q(4	NUM
ejpam-6698	395	14	−	−	PROPN
ejpam-6698	395	15	c2)c	c2)c	NOUN
ejpam-6698	395	16	8(q	8(q	NUM
ejpam-6698	395	17	+	+	CCONJ
ejpam-6698	395	18	µ)(q	µ)(q	X
ejpam-6698	395	19	+	+	CCONJ
ejpam-6698	395	20	q2	q2	NOUN
ejpam-6698	395	21	+	+	CCONJ
ejpam-6698	395	22	q3	q3	PROPN
ejpam-6698	395	23	+	+	CCONJ
ejpam-6698	395	24	µ	µ	X
ejpam-6698	395	25	)	)	PUNCT
ejpam-6698	395	26	≥	≥	NOUN
ejpam-6698	395	27	0	0	NUM
ejpam-6698	395	28	,	,	PUNCT
ejpam-6698	395	29	λ2(c	λ2(c	X
ejpam-6698	395	30	)	)	PUNCT
ejpam-6698	396	1	=	=	NOUN
ejpam-6698	397	1	(	(	PUNCT
ejpam-6698	397	2	−4(1	−4(1	NOUN
ejpam-6698	397	3	+	+	CCONJ
ejpam-6698	397	4	2q)(q	2q)(q	NUM
ejpam-6698	397	5	+	+	CCONJ
ejpam-6698	397	6	µ)(q	µ)(q	PUNCT
ejpam-6698	397	7	+	+	CCONJ
ejpam-6698	397	8	q2	q2	NOUN
ejpam-6698	397	9	+	+	CCONJ
ejpam-6698	397	10	µ)ϑ3q	µ)ϑ3q	PROPN
ejpam-6698	397	11	−	−	NOUN
ejpam-6698	397	12	ϑ3q[1	ϑ3q[1	NOUN
ejpam-6698	397	13	+	+	CCONJ
ejpam-6698	397	14	2q(1	2q(1	NUM
ejpam-6698	397	15	+	+	CCONJ
ejpam-6698	397	16	q	q	NOUN
ejpam-6698	397	17	+	+	NUM
ejpam-6698	397	18	q2	q2	NOUN
ejpam-6698	397	19	)	)	PUNCT
ejpam-6698	398	1	+	+	CCONJ
ejpam-6698	399	1	µ	µ	X
ejpam-6698	399	2	]	]	X
ejpam-6698	399	3	32(q	32(q	NUM
ejpam-6698	400	1	+	+	NUM
ejpam-6698	400	2	µ)2(q	µ)2(q	PROPN
ejpam-6698	400	3	+	+	NUM
ejpam-6698	400	4	q2	q2	NOUN
ejpam-6698	400	5	+	+	X
ejpam-6698	400	6	µ)(q	µ)(q	PUNCT
ejpam-6698	400	7	+	+	CCONJ
ejpam-6698	400	8	q2	q2	NOUN
ejpam-6698	400	9	+	+	CCONJ
ejpam-6698	400	10	q3	q3	PROPN
ejpam-6698	400	11	+	+	CCONJ
ejpam-6698	400	12	µ	µ	NOUN
ejpam-6698	400	13	)	)	PUNCT
ejpam-6698	400	14	)	)	PUNCT
ejpam-6698	400	15	c2(4	c2(4	PROPN
ejpam-6698	400	16	−	−	PROPN
ejpam-6698	400	17	c2	c2	PROPN
ejpam-6698	400	18	)	)	PUNCT
ejpam-6698	400	19	≥	≥	NOUN
ejpam-6698	400	20	0	0	NUM
ejpam-6698	400	21	,	,	PUNCT
ejpam-6698	400	22	λ3(c	λ3(c	PROPN
ejpam-6698	400	23	)	)	PUNCT
ejpam-6698	400	24	=	=	SYM
ejpam-6698	400	25	ϑ2qc(c−	ϑ2qc(c−	PROPN
ejpam-6698	400	26	2)(4	2)(4	NUM
ejpam-6698	400	27	−	−	PROPN
ejpam-6698	400	28	c2	c2	PROPN
ejpam-6698	400	29	)	)	PUNCT
ejpam-6698	400	30	16(q	16(q	NUM
ejpam-6698	401	1	+	+	NUM
ejpam-6698	401	2	µ)(q	µ)(q	X
ejpam-6698	401	3	+	+	CCONJ
ejpam-6698	401	4	q2	q2	NOUN
ejpam-6698	401	5	+	+	CCONJ
ejpam-6698	401	6	q3	q3	PROPN
ejpam-6698	401	7	+	+	CCONJ
ejpam-6698	401	8	µ	µ	X
ejpam-6698	401	9	)	)	PUNCT
ejpam-6698	401	10	≤	≤	NOUN
ejpam-6698	401	11	0	0	NUM
ejpam-6698	401	12	,	,	PUNCT
ejpam-6698	401	13	λ4(c	λ4(c	NOUN
ejpam-6698	401	14	)	)	PUNCT
ejpam-6698	401	15	=	=	SYM
ejpam-6698	401	16	ϑ2q(4	ϑ2q(4	PROPN
ejpam-6698	401	17	−	−	PROPN
ejpam-6698	401	18	c2)2	c2)2	PROPN
ejpam-6698	401	19	64(q	64(q	NUM
ejpam-6698	401	20	+	+	NUM
ejpam-6698	401	21	q2	q2	NOUN
ejpam-6698	401	22	+	+	CCONJ
ejpam-6698	401	23	µ)2	µ)2	NOUN
ejpam-6698	401	24	≥	≥	NOUN
ejpam-6698	401	25	0	0	NUM
ejpam-6698	401	26	.	.	PUNCT
ejpam-6698	402	1	we	we	PRON
ejpam-6698	402	2	aim	aim	VERB
ejpam-6698	402	3	to	to	PART
ejpam-6698	402	4	determine	determine	VERB
ejpam-6698	402	5	the	the	DET
ejpam-6698	402	6	maximum	maximum	ADJ
ejpam-6698	402	7	value	value	NOUN
ejpam-6698	402	8	of	of	ADP
ejpam-6698	402	9	the	the	DET
ejpam-6698	402	10	function	function	NOUN
ejpam-6698	402	11	f(ϵ1	f(ϵ1	NOUN
ejpam-6698	402	12	,	,	PUNCT
ejpam-6698	402	13	ϵ2	ϵ2	ADJ
ejpam-6698	402	14	)	)	PUNCT
ejpam-6698	402	15	over	over	ADP
ejpam-6698	402	16	the	the	DET
ejpam-6698	402	17	closed	closed	ADJ
ejpam-6698	402	18	square	square	ADJ
ejpam-6698	402	19	λ	λ	NOUN
ejpam-6698	402	20	:	:	PUNCT
ejpam-6698	402	21	=	=	SYM
ejpam-6698	402	22	{	{	PUNCT
ejpam-6698	402	23	(	(	PUNCT
ejpam-6698	402	24	ϵ1	ϵ1	ADJ
ejpam-6698	402	25	,	,	PUNCT
ejpam-6698	402	26	ϵ2	ϵ2	ADJ
ejpam-6698	402	27	)	)	PUNCT
ejpam-6698	402	28	:	:	PUNCT
ejpam-6698	402	29	ϵ1	ϵ1	ADJ
ejpam-6698	402	30	,	,	PUNCT
ejpam-6698	402	31	ϵ2	ϵ2	PROPN
ejpam-6698	402	32	∈	∈	PROPN
ejpam-6698	403	1	[	[	X
ejpam-6698	403	2	0	0	NUM
ejpam-6698	403	3	,	,	PUNCT
ejpam-6698	403	4	1	1	NUM
ejpam-6698	403	5	]	]	PUNCT
ejpam-6698	403	6	}	}	PUNCT
ejpam-6698	403	7	.	.	PUNCT
ejpam-6698	404	1	given	give	VERB
ejpam-6698	404	2	that	that	SCONJ
ejpam-6698	404	3	λ3	λ3	PROPN
ejpam-6698	404	4	<	<	X
ejpam-6698	404	5	0	0	PROPN
ejpam-6698	404	6	and	and	CCONJ
ejpam-6698	404	7	λ3	λ3	PROPN
ejpam-6698	404	8	+	+	PROPN
ejpam-6698	404	9	2λ4	2λ4	PROPN
ejpam-6698	404	10	>	>	X
ejpam-6698	404	11	0	0	PUNCT
ejpam-6698	404	12	for	for	ADP
ejpam-6698	404	13	all	all	DET
ejpam-6698	404	14	c	c	NOUN
ejpam-6698	404	15	∈	∈	PROPN
ejpam-6698	404	16	(	(	PUNCT
ejpam-6698	404	17	0	0	NUM
ejpam-6698	404	18	,	,	PUNCT
ejpam-6698	404	19	1	1	NUM
ejpam-6698	404	20	)	)	PUNCT
ejpam-6698	404	21	,	,	PUNCT
ejpam-6698	404	22	it	it	PRON
ejpam-6698	404	23	follows	follow	VERB
ejpam-6698	404	24	that	that	SCONJ
ejpam-6698	404	25	fϵ1ϵ1fϵ2ϵ2	fϵ1ϵ1fϵ2ϵ2	PROPN
ejpam-6698	404	26	−	−	PROPN
ejpam-6698	404	27	(	(	PUNCT
ejpam-6698	404	28	fϵ1ϵ2)2	fϵ1ϵ2)2	VERB
ejpam-6698	404	29	<	<	X
ejpam-6698	404	30	0	0	PUNCT
ejpam-6698	404	31	throughout	throughout	ADP
ejpam-6698	404	32	the	the	DET
ejpam-6698	404	33	square	square	PROPN
ejpam-6698	404	34	λ	λ	PROPN
ejpam-6698	404	35	.	.	PUNCT
ejpam-6698	405	1	this	this	DET
ejpam-6698	405	2	inequality	inequality	NOUN
ejpam-6698	405	3	implies	imply	VERB
ejpam-6698	405	4	that	that	SCONJ
ejpam-6698	405	5	f	f	PROPN
ejpam-6698	405	6	can	can	AUX
ejpam-6698	405	7	not	not	PART
ejpam-6698	405	8	attain	attain	VERB
ejpam-6698	405	9	a	a	DET
ejpam-6698	405	10	local	local	ADJ
ejpam-6698	405	11	maximum	maximum	NOUN
ejpam-6698	405	12	in	in	ADP
ejpam-6698	405	13	the	the	DET
ejpam-6698	405	14	interior	interior	NOUN
ejpam-6698	405	15	of	of	ADP
ejpam-6698	405	16	the	the	DET
ejpam-6698	405	17	square	square	PROPN
ejpam-6698	405	18	λ	λ	PROPN
ejpam-6698	405	19	.	.	PUNCT
ejpam-6698	405	20	accordingly	accordingly	ADV
ejpam-6698	405	21	,	,	PUNCT
ejpam-6698	405	22	we	we	PRON
ejpam-6698	405	23	proceed	proceed	VERB
ejpam-6698	405	24	to	to	PART
ejpam-6698	405	25	examine	examine	VERB
ejpam-6698	405	26	the	the	DET
ejpam-6698	405	27	boundary	boundary	NOUN
ejpam-6698	405	28	of	of	ADP
ejpam-6698	405	29	λ	λ	PROPN
ejpam-6698	405	30	in	in	ADP
ejpam-6698	405	31	search	search	NOUN
ejpam-6698	405	32	of	of	ADP
ejpam-6698	405	33	the	the	DET
ejpam-6698	405	34	maximum	maximum	ADJ
ejpam-6698	405	35	value	value	NOUN
ejpam-6698	405	36	.	.	PUNCT
ejpam-6698	406	1	when	when	SCONJ
ejpam-6698	406	2	setting	set	VERB
ejpam-6698	406	3	ϵ1	ϵ1	NOUN
ejpam-6698	406	4	=	=	SYM
ejpam-6698	406	5	0	0	NUM
ejpam-6698	406	6	and	and	CCONJ
ejpam-6698	406	7	ϵ2	ϵ2	PROPN
ejpam-6698	406	8	∈	∈	PROPN
ejpam-6698	407	1	[	[	X
ejpam-6698	407	2	0	0	NUM
ejpam-6698	407	3	,	,	PUNCT
ejpam-6698	407	4	1	1	NUM
ejpam-6698	407	5	]	]	PUNCT
ejpam-6698	407	6	(	(	PUNCT
ejpam-6698	407	7	similarly	similarly	ADV
ejpam-6698	407	8	for	for	ADP
ejpam-6698	407	9	ϵ2	ϵ2	PROPN
ejpam-6698	407	10	=	=	SYM
ejpam-6698	407	11	0	0	NUM
ejpam-6698	407	12	and	and	CCONJ
ejpam-6698	407	13	ϵ1	ϵ1	PROPN
ejpam-6698	407	14	∈	∈	PROPN
ejpam-6698	408	1	[	[	X
ejpam-6698	408	2	0	0	NUM
ejpam-6698	408	3	,	,	PUNCT
ejpam-6698	408	4	1	1	NUM
ejpam-6698	408	5	]	]	NUM
ejpam-6698	408	6	)	)	PUNCT
ejpam-6698	408	7	,	,	PUNCT
ejpam-6698	408	8	the	the	DET
ejpam-6698	408	9	function	function	NOUN
ejpam-6698	408	10	reduces	reduce	VERB
ejpam-6698	408	11	to	to	ADP
ejpam-6698	408	12	f(0	f(0	NOUN
ejpam-6698	408	13	,	,	PUNCT
ejpam-6698	408	14	ϵ2	ϵ2	ADJ
ejpam-6698	408	15	)	)	PUNCT
ejpam-6698	408	16	=	=	SYM
ejpam-6698	408	17	g(ϵ2	g(ϵ2	X
ejpam-6698	408	18	)	)	PUNCT
ejpam-6698	409	1	=	=	VERB
ejpam-6698	409	2	λ1	λ1	PROPN
ejpam-6698	409	3	+	+	CCONJ
ejpam-6698	409	4	λ2ϵ2	λ2ϵ2	X
ejpam-6698	409	5	+	+	NUM
ejpam-6698	409	6	(	(	PUNCT
ejpam-6698	409	7	λ3	λ3	PROPN
ejpam-6698	409	8	+	+	PROPN
ejpam-6698	409	9	λ4)ϵ	λ4)ϵ	PROPN
ejpam-6698	409	10	2	2	NUM
ejpam-6698	409	11	2	2	NUM
ejpam-6698	409	12	.	.	PUNCT
ejpam-6698	409	13	case	case	NOUN
ejpam-6698	409	14	(	(	PUNCT
ejpam-6698	409	15	i	i	NOUN
ejpam-6698	409	16	):	):	PUNCT
ejpam-6698	409	17	when	when	SCONJ
ejpam-6698	409	18	λ3	λ3	PROPN
ejpam-6698	409	19	+	+	CCONJ
ejpam-6698	409	20	λ4	λ4	PROPN
ejpam-6698	409	21	≥	≥	NOUN
ejpam-6698	409	22	0	0	NUM
ejpam-6698	409	23	.	.	PUNCT
ejpam-6698	410	1	in	in	ADP
ejpam-6698	410	2	this	this	DET
ejpam-6698	410	3	situation	situation	NOUN
ejpam-6698	410	4	,	,	PUNCT
ejpam-6698	410	5	for	for	ADP
ejpam-6698	410	6	any	any	DET
ejpam-6698	410	7	fixed	fix	VERB
ejpam-6698	410	8	c	c	NOUN
ejpam-6698	410	9	∈	∈	PROPN
ejpam-6698	411	1	[	[	X
ejpam-6698	411	2	0	0	NUM
ejpam-6698	411	3	,	,	PUNCT
ejpam-6698	411	4	2	2	NUM
ejpam-6698	411	5	)	)	PUNCT
ejpam-6698	411	6	,	,	PUNCT
ejpam-6698	411	7	the	the	DET
ejpam-6698	411	8	derivative	derivative	ADJ
ejpam-6698	411	9	g′(ϵ2	g′(ϵ2	NOUN
ejpam-6698	411	10	)	)	PUNCT
ejpam-6698	411	11	=	=	SYM
ejpam-6698	411	12	2(λ3	2(λ3	NUM
ejpam-6698	412	1	+	+	CCONJ
ejpam-6698	412	2	λ4)ϵ2	λ4)ϵ2	NOUN
ejpam-6698	412	3	+	+	CCONJ
ejpam-6698	412	4	λ2	λ2	NOUN
ejpam-6698	412	5	remains	remain	VERB
ejpam-6698	412	6	strictly	strictly	ADV
ejpam-6698	412	7	positive	positive	ADJ
ejpam-6698	412	8	for	for	ADP
ejpam-6698	412	9	0	0	NUM
ejpam-6698	412	10	<	<	X
ejpam-6698	412	11	ϵ2	ϵ2	PROPN
ejpam-6698	412	12	<	<	X
ejpam-6698	412	13	1	1	NUM
ejpam-6698	412	14	.	.	PUNCT
ejpam-6698	413	1	this	this	PRON
ejpam-6698	413	2	implies	imply	VERB
ejpam-6698	413	3	that	that	SCONJ
ejpam-6698	413	4	g(ϵ2	g(ϵ2	PROPN
ejpam-6698	413	5	)	)	PUNCT
ejpam-6698	413	6	is	be	AUX
ejpam-6698	413	7	monotonically	monotonically	ADV
ejpam-6698	413	8	increasing	increase	VERB
ejpam-6698	413	9	on	on	ADP
ejpam-6698	413	10	(	(	PUNCT
ejpam-6698	413	11	0	0	NUM
ejpam-6698	413	12	,	,	PUNCT
ejpam-6698	413	13	1	1	NUM
ejpam-6698	413	14	)	)	PUNCT
ejpam-6698	413	15	.	.	PUNCT
ejpam-6698	414	1	as	as	ADP
ejpam-6698	414	2	a	a	DET
ejpam-6698	414	3	consequence	consequence	NOUN
ejpam-6698	414	4	,	,	PUNCT
ejpam-6698	414	5	the	the	DET
ejpam-6698	414	6	function	function	NOUN
ejpam-6698	414	7	g	g	PROPN
ejpam-6698	414	8	achieves	achieve	VERB
ejpam-6698	414	9	its	its	PRON
ejpam-6698	414	10	maximum	maximum	ADJ
ejpam-6698	414	11	value	value	NOUN
ejpam-6698	414	12	at	at	ADP
ejpam-6698	414	13	ϵ2	ϵ2	PROPN
ejpam-6698	414	14	=	=	SYM
ejpam-6698	414	15	1	1	NUM
ejpam-6698	414	16	,	,	PUNCT
ejpam-6698	414	17	and	and	CCONJ
ejpam-6698	414	18	thus	thus	ADV
ejpam-6698	414	19	we	we	PRON
ejpam-6698	414	20	have	have	VERB
ejpam-6698	414	21	maxg(ϵ2	maxg(ϵ2	NOUN
ejpam-6698	414	22	)	)	PUNCT
ejpam-6698	415	1	=	=	SYM
ejpam-6698	415	2	g(1	g(1	NOUN
ejpam-6698	415	3	)	)	PUNCT
ejpam-6698	415	4	=	=	PUNCT
ejpam-6698	416	1	λ1	λ1	ADJ
ejpam-6698	416	2	+	+	NUM
ejpam-6698	416	3	λ2	λ2	NOUN
ejpam-6698	416	4	+	+	CCONJ
ejpam-6698	416	5	λ3	λ3	PROPN
ejpam-6698	416	6	+	+	CCONJ
ejpam-6698	416	7	λ4	λ4	ADJ
ejpam-6698	416	8	.	.	PUNCT
ejpam-6698	417	1	case	case	NOUN
ejpam-6698	417	2	(	(	PUNCT
ejpam-6698	417	3	ii	ii	NOUN
ejpam-6698	417	4	):	):	PUNCT
ejpam-6698	417	5	when	when	SCONJ
ejpam-6698	417	6	λ3	λ3	PROPN
ejpam-6698	418	1	+	+	CCONJ
ejpam-6698	418	2	λ4	λ4	VERB
ejpam-6698	418	3	<	<	X
ejpam-6698	418	4	0	0	X
ejpam-6698	418	5	.	.	PUNCT
ejpam-6698	419	1	given	give	VERB
ejpam-6698	419	2	that	that	DET
ejpam-6698	419	3	λ2	λ2	NOUN
ejpam-6698	419	4	+	+	CCONJ
ejpam-6698	419	5	2(λ3	2(λ3	NUM
ejpam-6698	419	6	+	+	CCONJ
ejpam-6698	419	7	λ4	λ4	ADJ
ejpam-6698	419	8	)	)	PUNCT
ejpam-6698	419	9	≥	≥	NOUN
ejpam-6698	419	10	0	0	NUM
ejpam-6698	419	11	for	for	ADP
ejpam-6698	419	12	ϵ2	ϵ2	PROPN
ejpam-6698	419	13	∈	∈	PROPN
ejpam-6698	419	14	(	(	PUNCT
ejpam-6698	419	15	0	0	NUM
ejpam-6698	419	16	,	,	PUNCT
ejpam-6698	419	17	1	1	NUM
ejpam-6698	419	18	)	)	PUNCT
ejpam-6698	419	19	and	and	CCONJ
ejpam-6698	419	20	any	any	DET
ejpam-6698	419	21	fixed	fix	VERB
ejpam-6698	419	22	c	c	NOUN
ejpam-6698	419	23	∈	∈	PROPN
ejpam-6698	420	1	[	[	X
ejpam-6698	420	2	0	0	NUM
ejpam-6698	420	3	,	,	PUNCT
ejpam-6698	420	4	2	2	NUM
ejpam-6698	420	5	)	)	PUNCT
ejpam-6698	420	6	,	,	PUNCT
ejpam-6698	420	7	it	it	PRON
ejpam-6698	420	8	follows	follow	VERB
ejpam-6698	420	9	from	from	ADP
ejpam-6698	420	10	the	the	DET
ejpam-6698	420	11	inequality	inequality	NOUN
ejpam-6698	420	12	λ2	λ2	NOUN
ejpam-6698	420	13	+	+	CCONJ
ejpam-6698	420	14	2(λ3	2(λ3	NUM
ejpam-6698	420	15	+	+	CCONJ
ejpam-6698	420	16	λ4	λ4	ADJ
ejpam-6698	420	17	)	)	PUNCT
ejpam-6698	420	18	<	<	X
ejpam-6698	420	19	2(λ3	2(λ3	NUM
ejpam-6698	421	1	+	+	CCONJ
ejpam-6698	421	2	λ4)ϵ2	λ4)ϵ2	NOUN
ejpam-6698	421	3	+	+	CCONJ
ejpam-6698	421	4	λ2	λ2	NOUN
ejpam-6698	421	5	<	<	X
ejpam-6698	421	6	λ2	λ2	NOUN
ejpam-6698	421	7	that	that	PRON
ejpam-6698	421	8	g′(ϵ2	g′(ϵ2	VERB
ejpam-6698	421	9	)	)	PUNCT
ejpam-6698	421	10	>	>	X
ejpam-6698	421	11	0	0	X
ejpam-6698	421	12	.	.	PUNCT
ejpam-6698	422	1	therefore	therefore	ADV
ejpam-6698	422	2	,	,	PUNCT
ejpam-6698	422	3	the	the	DET
ejpam-6698	422	4	function	function	NOUN
ejpam-6698	422	5	g(ϵ2	g(ϵ2	PROPN
ejpam-6698	422	6	)	)	PUNCT
ejpam-6698	422	7	is	be	AUX
ejpam-6698	422	8	increasing	increase	VERB
ejpam-6698	422	9	,	,	PUNCT
ejpam-6698	422	10	and	and	CCONJ
ejpam-6698	422	11	it	it	PRON
ejpam-6698	422	12	attains	attain	VERB
ejpam-6698	422	13	its	its	PRON
ejpam-6698	422	14	maximum	maximum	NOUN
ejpam-6698	422	15	at	at	ADP
ejpam-6698	422	16	ϵ2	ϵ2	PROPN
ejpam-6698	422	17	=	=	NOUN
ejpam-6698	422	18	1	1	X
ejpam-6698	422	19	.	.	PUNCT
ejpam-6698	422	20	additionally	additionally	ADV
ejpam-6698	422	21	,	,	PUNCT
ejpam-6698	422	22	when	when	SCONJ
ejpam-6698	422	23	c	c	NOUN
ejpam-6698	422	24	=	=	SYM
ejpam-6698	422	25	2	2	NUM
ejpam-6698	422	26	,	,	PUNCT
ejpam-6698	422	27	the	the	DET
ejpam-6698	422	28	expression	expression	NOUN
ejpam-6698	422	29	for	for	ADP
ejpam-6698	422	30	f(ϵ1	f(ϵ1	ADJ
ejpam-6698	422	31	,	,	PUNCT
ejpam-6698	422	32	ϵ2	ϵ2	ADJ
ejpam-6698	422	33	)	)	PUNCT
ejpam-6698	422	34	simplifies	simplifie	NOUN
ejpam-6698	422	35	to	to	PART
ejpam-6698	422	36	f(ϵ1	f(ϵ1	VERB
ejpam-6698	422	37	,	,	PUNCT
ejpam-6698	422	38	ϵ2	ϵ2	ADJ
ejpam-6698	422	39	)	)	PUNCT
ejpam-6698	422	40	∣∣	∣∣	PUNCT
ejpam-6698	423	1	c=2	c=2	X
ejpam-6698	423	2	=	=	PROPN
ejpam-6698	423	3	∣∣∣∣∣ϑ4q	∣∣∣∣∣ϑ4q	PROPN
ejpam-6698	423	4	(	(	PUNCT
ejpam-6698	423	5	6p3(1	6p3(1	NUM
ejpam-6698	423	6	+	+	NUM
ejpam-6698	423	7	6q	6q	NUM
ejpam-6698	423	8	)	)	PUNCT
ejpam-6698	424	1	+	+	NUM
ejpam-6698	424	2	6p2(5	6p2(5	NOUN
ejpam-6698	424	3	+	+	SYM
ejpam-6698	424	4	18q)µ+	18q)µ+	NUM
ejpam-6698	424	5	3pµ(−1	3pµ(−1	NUM
ejpam-6698	425	1	+	+	CCONJ
ejpam-6698	425	2	(	(	PUNCT
ejpam-6698	425	3	11	11	NUM
ejpam-6698	425	4	+	+	CCONJ
ejpam-6698	425	5	36q)µ	36q)µ	NUM
ejpam-6698	425	6	)	)	PUNCT
ejpam-6698	426	1	+	+	NUM
ejpam-6698	426	2	µ	µ	X
ejpam-6698	426	3	(	(	PUNCT
ejpam-6698	426	4	−2	−2	NOUN
ejpam-6698	426	5	+	+	NUM
ejpam-6698	426	6	µ(−3	µ(−3	NOUN
ejpam-6698	426	7	+	+	CCONJ
ejpam-6698	426	8	(	(	PUNCT
ejpam-6698	426	9	11	11	NUM
ejpam-6698	426	10	+	+	CCONJ
ejpam-6698	426	11	36q)µ	36q)µ	NUM
ejpam-6698	426	12	)	)	PUNCT
ejpam-6698	426	13	)	)	PUNCT
ejpam-6698	426	14	)	)	PUNCT
ejpam-6698	427	1	6(p+	6(p+	PROPN
ejpam-6698	427	2	µ)4(p+	µ)4(p+	PROPN
ejpam-6698	427	3	p2	p2	PROPN
ejpam-6698	427	4	+	+	CCONJ
ejpam-6698	427	5	p3	p3	PROPN
ejpam-6698	427	6	+	+	CCONJ
ejpam-6698	427	7	µ	µ	NOUN
ejpam-6698	427	8	)	)	PUNCT
ejpam-6698	427	9	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ejpam-6698	427	10	.	.	PUNCT
ejpam-6698	428	1	(	(	PUNCT
ejpam-6698	428	2	51	51	NUM
ejpam-6698	428	3	)	)	PUNCT
ejpam-6698	428	4	a.	a.	NOUN
ejpam-6698	428	5	alsoboh	alsoboh	PROPN
ejpam-6698	428	6	et	et	PROPN
ejpam-6698	428	7	al	al	PROPN
ejpam-6698	428	8	.	.	PUNCT
ejpam-6698	428	9	/	/	SYM
ejpam-6698	428	10	eur	eur	PROPN
ejpam-6698	428	11	.	.	PUNCT
ejpam-6698	429	1	j.	j.	PROPN
ejpam-6698	429	2	pure	pure	PROPN
ejpam-6698	429	3	appl	appl	PROPN
ejpam-6698	429	4	.	.	PROPN
ejpam-6698	429	5	math	math	PROPN
ejpam-6698	429	6	,	,	PUNCT
ejpam-6698	429	7	18	18	NUM
ejpam-6698	429	8	(	(	PUNCT
ejpam-6698	429	9	3	3	NUM
ejpam-6698	429	10	)	)	PUNCT
ejpam-6698	429	11	(	(	PUNCT
ejpam-6698	429	12	2025	2025	NUM
ejpam-6698	429	13	)	)	PUNCT
ejpam-6698	429	14	,	,	PUNCT
ejpam-6698	429	15	6698	6698	NUM
ejpam-6698	429	16	20	20	NUM
ejpam-6698	429	17	of	of	ADP
ejpam-6698	429	18	25	25	NUM
ejpam-6698	429	19	taking	take	VERB
ejpam-6698	429	20	into	into	ADP
ejpam-6698	429	21	account	account	NOUN
ejpam-6698	429	22	the	the	DET
ejpam-6698	429	23	analysis	analysis	NOUN
ejpam-6698	429	24	in	in	ADP
ejpam-6698	429	25	both	both	DET
ejpam-6698	429	26	subcases	subcase	NOUN
ejpam-6698	429	27	(	(	PUNCT
ejpam-6698	429	28	i	i	NOUN
ejpam-6698	429	29	)	)	PUNCT
ejpam-6698	429	30	and	and	CCONJ
ejpam-6698	429	31	(	(	PUNCT
ejpam-6698	429	32	ii	ii	NOUN
ejpam-6698	429	33	)	)	PUNCT
ejpam-6698	430	1	,	,	PUNCT
ejpam-6698	430	2	we	we	PRON
ejpam-6698	430	3	deduce	deduce	VERB
ejpam-6698	430	4	that	that	PRON
ejpam-6698	430	5	for	for	ADP
ejpam-6698	430	6	ϵ2	ϵ2	PROPN
ejpam-6698	430	7	∈	∈	PROPN
ejpam-6698	431	1	[	[	X
ejpam-6698	431	2	0	0	NUM
ejpam-6698	431	3	,	,	PUNCT
ejpam-6698	431	4	1	1	NUM
ejpam-6698	431	5	)	)	PUNCT
ejpam-6698	431	6	and	and	CCONJ
ejpam-6698	431	7	any	any	DET
ejpam-6698	431	8	c	c	NOUN
ejpam-6698	431	9	∈	∈	PROPN
ejpam-6698	432	1	[	[	X
ejpam-6698	432	2	0	0	NUM
ejpam-6698	432	3	,	,	PUNCT
ejpam-6698	432	4	2	2	NUM
ejpam-6698	432	5	]	]	PUNCT
ejpam-6698	432	6	,	,	PUNCT
ejpam-6698	432	7	the	the	DET
ejpam-6698	432	8	maximum	maximum	NOUN
ejpam-6698	432	9	of	of	ADP
ejpam-6698	432	10	g(ϵ2	g(ϵ2	PROPN
ejpam-6698	432	11	)	)	PUNCT
ejpam-6698	432	12	is	be	AUX
ejpam-6698	432	13	again	again	ADV
ejpam-6698	432	14	given	give	VERB
ejpam-6698	432	15	by	by	ADP
ejpam-6698	432	16	maxg(ϵ2	maxg(ϵ2	NOUN
ejpam-6698	432	17	)	)	PUNCT
ejpam-6698	432	18	=	=	SYM
ejpam-6698	432	19	g(1	g(1	NOUN
ejpam-6698	432	20	)	)	PUNCT
ejpam-6698	433	1	=	=	PUNCT
ejpam-6698	433	2	λ1	λ1	ADJ
ejpam-6698	433	3	+	+	NUM
ejpam-6698	433	4	λ2	λ2	NOUN
ejpam-6698	433	5	+	+	CCONJ
ejpam-6698	433	6	λ3	λ3	PROPN
ejpam-6698	433	7	+	+	X
ejpam-6698	433	8	λ4	λ4	ADJ
ejpam-6698	433	9	.	.	PUNCT
ejpam-6698	434	1	now	now	ADV
ejpam-6698	434	2	,	,	PUNCT
ejpam-6698	434	3	considering	consider	VERB
ejpam-6698	434	4	the	the	DET
ejpam-6698	434	5	boundary	boundary	ADJ
ejpam-6698	434	6	condition	condition	NOUN
ejpam-6698	434	7	ϵ1	ϵ1	NOUN
ejpam-6698	434	8	=	=	SYM
ejpam-6698	434	9	1	1	NUM
ejpam-6698	434	10	and	and	CCONJ
ejpam-6698	434	11	0	0	NUM
ejpam-6698	434	12	≤	≤	NOUN
ejpam-6698	434	13	ϵ2	ϵ2	ADJ
ejpam-6698	434	14	≤	≤	NUM
ejpam-6698	434	15	1	1	NUM
ejpam-6698	434	16	(	(	PUNCT
ejpam-6698	434	17	similarly	similarly	ADV
ejpam-6698	434	18	,	,	PUNCT
ejpam-6698	434	19	ϵ2	ϵ2	NOUN
ejpam-6698	434	20	=	=	SYM
ejpam-6698	434	21	1	1	NUM
ejpam-6698	434	22	and	and	CCONJ
ejpam-6698	434	23	0	0	NUM
ejpam-6698	434	24	≤	≤	NUM
ejpam-6698	434	25	ϵ1	ϵ1	ADJ
ejpam-6698	434	26	≤	≤	NUM
ejpam-6698	434	27	1	1	NUM
ejpam-6698	434	28	)	)	PUNCT
ejpam-6698	434	29	,	,	PUNCT
ejpam-6698	434	30	the	the	DET
ejpam-6698	434	31	function	function	NOUN
ejpam-6698	434	32	takes	take	VERB
ejpam-6698	434	33	the	the	DET
ejpam-6698	434	34	form	form	NOUN
ejpam-6698	434	35	f(1	f(1	PROPN
ejpam-6698	434	36	,	,	PUNCT
ejpam-6698	434	37	ϵ2	ϵ2	ADJ
ejpam-6698	434	38	)	)	PUNCT
ejpam-6698	434	39	=	=	SYM
ejpam-6698	434	40	h(ϵ2	h(ϵ2	NOUN
ejpam-6698	434	41	)	)	PUNCT
ejpam-6698	434	42	=	=	SYM
ejpam-6698	434	43	(	(	PUNCT
ejpam-6698	435	1	λ3	λ3	PROPN
ejpam-6698	435	2	+	+	PROPN
ejpam-6698	435	3	λ4)ϵ	λ4)ϵ	PROPN
ejpam-6698	435	4	2	2	NUM
ejpam-6698	435	5	2	2	NUM
ejpam-6698	435	6	+	+	CCONJ
ejpam-6698	435	7	(	(	PUNCT
ejpam-6698	435	8	λ2	λ2	NOUN
ejpam-6698	435	9	+	+	CCONJ
ejpam-6698	435	10	2λ4)ϵ2	2λ4)ϵ2	NUM
ejpam-6698	436	1	+	+	CCONJ
ejpam-6698	436	2	λ1	λ1	ADJ
ejpam-6698	436	3	+	+	NUM
ejpam-6698	436	4	λ2	λ2	NOUN
ejpam-6698	436	5	+	+	CCONJ
ejpam-6698	436	6	λ3	λ3	PROPN
ejpam-6698	436	7	+	+	CCONJ
ejpam-6698	436	8	λ4	λ4	ADJ
ejpam-6698	436	9	.	.	PUNCT
ejpam-6698	437	1	following	follow	VERB
ejpam-6698	437	2	the	the	DET
ejpam-6698	437	3	same	same	ADJ
ejpam-6698	437	4	logic	logic	NOUN
ejpam-6698	437	5	applied	apply	VERB
ejpam-6698	437	6	earlier	early	ADV
ejpam-6698	437	7	for	for	ADP
ejpam-6698	437	8	the	the	DET
ejpam-6698	437	9	cases	case	NOUN
ejpam-6698	437	10	involving	involve	VERB
ejpam-6698	437	11	λ3	λ3	PROPN
ejpam-6698	437	12	+	+	PROPN
ejpam-6698	437	13	λ4	λ4	ADJ
ejpam-6698	437	14	,	,	PUNCT
ejpam-6698	437	15	we	we	PRON
ejpam-6698	437	16	find	find	VERB
ejpam-6698	437	17	that	that	SCONJ
ejpam-6698	437	18	h(ϵ2	h(ϵ2	NOUN
ejpam-6698	437	19	)	)	PUNCT
ejpam-6698	437	20	reaches	reach	VERB
ejpam-6698	437	21	its	its	PRON
ejpam-6698	437	22	maximum	maximum	NOUN
ejpam-6698	437	23	at	at	ADP
ejpam-6698	437	24	ϵ2	ϵ2	PROPN
ejpam-6698	437	25	=	=	SYM
ejpam-6698	437	26	1	1	NUM
ejpam-6698	437	27	,	,	PUNCT
ejpam-6698	437	28	leading	lead	VERB
ejpam-6698	437	29	to	to	ADP
ejpam-6698	437	30	maxh(ϵ2	maxh(ϵ2	NOUN
ejpam-6698	437	31	)	)	PUNCT
ejpam-6698	437	32	=	=	SYM
ejpam-6698	438	1	h(1	h(1	PROPN
ejpam-6698	438	2	)	)	PUNCT
ejpam-6698	438	3	=	=	PUNCT
ejpam-6698	439	1	λ1	λ1	ADJ
ejpam-6698	439	2	+	+	NUM
ejpam-6698	439	3	2λ2	2λ2	NUM
ejpam-6698	439	4	+	+	NUM
ejpam-6698	439	5	2λ3	2λ3	NUM
ejpam-6698	439	6	+	+	SYM
ejpam-6698	439	7	4λ4	4λ4	NUM
ejpam-6698	439	8	.	.	PUNCT
ejpam-6698	440	1	since	since	SCONJ
ejpam-6698	440	2	it	it	PRON
ejpam-6698	440	3	holds	hold	VERB
ejpam-6698	440	4	that	that	DET
ejpam-6698	440	5	g(1	g(1	NOUN
ejpam-6698	440	6	)	)	PUNCT
ejpam-6698	440	7	=	=	SYM
ejpam-6698	440	8	h(1	h(1	VERB
ejpam-6698	440	9	)	)	PUNCT
ejpam-6698	440	10	for	for	ADP
ejpam-6698	440	11	all	all	DET
ejpam-6698	440	12	c	c	NOUN
ejpam-6698	440	13	∈	∈	PROPN
ejpam-6698	441	1	[	[	X
ejpam-6698	441	2	0	0	NUM
ejpam-6698	441	3	,	,	PUNCT
ejpam-6698	441	4	2	2	NUM
ejpam-6698	441	5	]	]	PUNCT
ejpam-6698	441	6	,	,	PUNCT
ejpam-6698	441	7	the	the	DET
ejpam-6698	441	8	maximum	maximum	ADJ
ejpam-6698	441	9	value	value	NOUN
ejpam-6698	441	10	of	of	ADP
ejpam-6698	441	11	the	the	DET
ejpam-6698	441	12	function	function	NOUN
ejpam-6698	441	13	f(ϵ1	f(ϵ1	NOUN
ejpam-6698	441	14	,	,	PUNCT
ejpam-6698	441	15	ϵ2	ϵ2	ADJ
ejpam-6698	441	16	)	)	PUNCT
ejpam-6698	441	17	over	over	ADP
ejpam-6698	441	18	the	the	DET
ejpam-6698	441	19	boundary	boundary	NOUN
ejpam-6698	441	20	of	of	ADP
ejpam-6698	441	21	the	the	DET
ejpam-6698	441	22	square	square	ADJ
ejpam-6698	441	23	λ	λ	PROPN
ejpam-6698	441	24	is	be	AUX
ejpam-6698	441	25	attained	attain	VERB
ejpam-6698	441	26	at	at	ADP
ejpam-6698	441	27	the	the	DET
ejpam-6698	441	28	point	point	NOUN
ejpam-6698	441	29	(	(	PUNCT
ejpam-6698	441	30	1	1	NUM
ejpam-6698	441	31	,	,	PUNCT
ejpam-6698	441	32	1	1	NUM
ejpam-6698	441	33	)	)	PUNCT
ejpam-6698	441	34	.	.	PUNCT
ejpam-6698	442	1	consequently	consequently	ADV
ejpam-6698	442	2	,	,	PUNCT
ejpam-6698	442	3	the	the	DET
ejpam-6698	442	4	maximum	maximum	NOUN
ejpam-6698	442	5	of	of	ADP
ejpam-6698	442	6	f	f	PROPN
ejpam-6698	442	7	within	within	ADP
ejpam-6698	442	8	the	the	DET
ejpam-6698	442	9	closed	closed	ADJ
ejpam-6698	442	10	square	square	ADJ
ejpam-6698	442	11	λ	λ	PROPN
ejpam-6698	442	12	is	be	AUX
ejpam-6698	442	13	achieved	achieve	VERB
ejpam-6698	442	14	precisely	precisely	ADV
ejpam-6698	442	15	at	at	ADP
ejpam-6698	442	16	this	this	DET
ejpam-6698	442	17	corner	corner	NOUN
ejpam-6698	442	18	.	.	PUNCT
ejpam-6698	443	1	moreover	moreover	ADV
ejpam-6698	443	2	,	,	PUNCT
ejpam-6698	443	3	we	we	PRON
ejpam-6698	443	4	define	define	VERB
ejpam-6698	443	5	the	the	DET
ejpam-6698	443	6	function	function	NOUN
ejpam-6698	443	7	y	y	NOUN
ejpam-6698	443	8	:	:	PUNCT
ejpam-6698	444	1	[	[	X
ejpam-6698	444	2	0	0	NUM
ejpam-6698	444	3	,	,	PUNCT
ejpam-6698	444	4	2	2	NUM
ejpam-6698	444	5	]	]	PUNCT
ejpam-6698	444	6	→	→	PUNCT
ejpam-6698	444	7	r	r	NOUN
ejpam-6698	444	8	by	by	ADP
ejpam-6698	444	9	y(c	y(c	ADJ
ejpam-6698	444	10	)	)	PUNCT
ejpam-6698	444	11	=	=	SYM
ejpam-6698	444	12	maxf(ϵ1	maxf(ϵ1	NOUN
ejpam-6698	444	13	,	,	PUNCT
ejpam-6698	444	14	ϵ2	ϵ2	ADJ
ejpam-6698	444	15	)	)	PUNCT
ejpam-6698	444	16	=	=	SYM
ejpam-6698	444	17	f(1	f(1	PROPN
ejpam-6698	444	18	,	,	PUNCT
ejpam-6698	444	19	1	1	NUM
ejpam-6698	444	20	)	)	PUNCT
ejpam-6698	444	21	=	=	VERB
ejpam-6698	445	1	λ1	λ1	ADJ
ejpam-6698	445	2	+	+	NUM
ejpam-6698	445	3	2λ2	2λ2	NUM
ejpam-6698	445	4	+	+	NUM
ejpam-6698	445	5	2λ3	2λ3	NUM
ejpam-6698	445	6	+	+	SYM
ejpam-6698	445	7	4λ4	4λ4	NUM
ejpam-6698	445	8	,	,	PUNCT
ejpam-6698	445	9	(	(	PUNCT
ejpam-6698	445	10	52	52	NUM
ejpam-6698	445	11	)	)	PUNCT
ejpam-6698	445	12	which	which	PRON
ejpam-6698	445	13	expresses	express	VERB
ejpam-6698	445	14	the	the	DET
ejpam-6698	445	15	maximum	maximum	ADJ
ejpam-6698	445	16	value	value	NOUN
ejpam-6698	445	17	of	of	ADP
ejpam-6698	445	18	f	f	PROPN
ejpam-6698	445	19	in	in	ADP
ejpam-6698	445	20	terms	term	NOUN
ejpam-6698	445	21	of	of	ADP
ejpam-6698	445	22	c.	c.	NOUN
ejpam-6698	445	23	by	by	ADP
ejpam-6698	445	24	substituting	substitute	VERB
ejpam-6698	445	25	the	the	DET
ejpam-6698	445	26	explicit	explicit	ADJ
ejpam-6698	445	27	expressions	expression	NOUN
ejpam-6698	445	28	of	of	ADP
ejpam-6698	445	29	λ1,λ2,λ3	λ1,λ2,λ3	NOUN
ejpam-6698	445	30	,	,	PUNCT
ejpam-6698	445	31	and	and	CCONJ
ejpam-6698	445	32	λ4	λ4	VERB
ejpam-6698	445	33	into	into	ADP
ejpam-6698	445	34	the	the	DET
ejpam-6698	445	35	function	function	NOUN
ejpam-6698	445	36	y	y	PROPN
ejpam-6698	445	37	as	as	SCONJ
ejpam-6698	445	38	defined	define	VERB
ejpam-6698	445	39	in	in	ADP
ejpam-6698	445	40	equation	equation	NOUN
ejpam-6698	445	41	(	(	PUNCT
ejpam-6698	445	42	52	52	NUM
ejpam-6698	445	43	)	)	PUNCT
ejpam-6698	445	44	,	,	PUNCT
ejpam-6698	445	45	we	we	PRON
ejpam-6698	445	46	arrive	arrive	VERB
ejpam-6698	445	47	at	at	ADP
ejpam-6698	445	48	a	a	DET
ejpam-6698	445	49	more	more	ADV
ejpam-6698	445	50	detailed	detailed	ADJ
ejpam-6698	445	51	representation	representation	NOUN
ejpam-6698	445	52	of	of	ADP
ejpam-6698	445	53	y(c	y(c	PROPN
ejpam-6698	445	54	)	)	PUNCT
ejpam-6698	445	55	in	in	ADP
ejpam-6698	445	56	terms	term	NOUN
ejpam-6698	445	57	of	of	ADP
ejpam-6698	445	58	the	the	DET
ejpam-6698	445	59	parameters	parameter	NOUN
ejpam-6698	445	60	involved	involve	VERB
ejpam-6698	445	61	:	:	PUNCT
ejpam-6698	445	62	y(c	y(c	ADJ
ejpam-6698	445	63	)	)	PUNCT
ejpam-6698	445	64	=	=	SYM
ejpam-6698	446	1	ϑ2q	ϑ2q	X
ejpam-6698	446	2	(	(	PUNCT
ejpam-6698	446	3	p+	p+	NOUN
ejpam-6698	446	4	p2	p2	NOUN
ejpam-6698	446	5	+	+	CCONJ
ejpam-6698	446	6	µ)2	µ)2	NOUN
ejpam-6698	446	7	+	+	CCONJ
ejpam-6698	446	8	x1c	x1c	NOUN
ejpam-6698	446	9	4	4	NUM
ejpam-6698	447	1	+	+	NUM
ejpam-6698	447	2	24x2c	24x2c	NUM
ejpam-6698	447	3	2	2	NUM
ejpam-6698	447	4	96(p+	96(p+	PROPN
ejpam-6698	447	5	µ)4(p+	µ)4(p+	PROPN
ejpam-6698	447	6	p2	p2	PROPN
ejpam-6698	447	7	+	+	CCONJ
ejpam-6698	447	8	µ)2(p+	µ)2(p+	PROPN
ejpam-6698	447	9	p2	p2	X
ejpam-6698	447	10	+	+	CCONJ
ejpam-6698	447	11	p3	p3	PROPN
ejpam-6698	447	12	+	+	CCONJ
ejpam-6698	447	13	µ	µ	X
ejpam-6698	447	14	)	)	PUNCT
ejpam-6698	447	15	,	,	PUNCT
ejpam-6698	447	16	where	where	SCONJ
ejpam-6698	447	17	x1	x1	PRON
ejpam-6698	447	18	:	:	PUNCT
ejpam-6698	447	19	=	=	NOUN
ejpam-6698	447	20	∣∣ϑ4q(6q3(1	∣∣ϑ4q(6q3(1	X
ejpam-6698	447	21	+	+	SYM
ejpam-6698	447	22	6q	6q	NOUN
ejpam-6698	447	23	)	)	PUNCT
ejpam-6698	448	1	+	+	CCONJ
ejpam-6698	448	2	6q2(5	6q2(5	NUM
ejpam-6698	448	3	+	+	CCONJ
ejpam-6698	448	4	18q)µ+	18q)µ+	NUM
ejpam-6698	448	5	3qµ(−1	3qµ(−1	NUM
ejpam-6698	448	6	+	+	CCONJ
ejpam-6698	448	7	(	(	PUNCT
ejpam-6698	448	8	11	11	NUM
ejpam-6698	448	9	+	+	CCONJ
ejpam-6698	448	10	36q)µ	36q)µ	NUM
ejpam-6698	448	11	)	)	PUNCT
ejpam-6698	449	1	+	+	NOUN
ejpam-6698	449	2	µ	µ	X
ejpam-6698	449	3	(	(	PUNCT
ejpam-6698	449	4	−2	−2	NOUN
ejpam-6698	449	5	+	+	NUM
ejpam-6698	449	6	µ(−3	µ(−3	NOUN
ejpam-6698	449	7	+	+	CCONJ
ejpam-6698	449	8	(	(	PUNCT
ejpam-6698	449	9	11	11	NUM
ejpam-6698	449	10	+	+	CCONJ
ejpam-6698	449	11	36q)µ	36q)µ	NUM
ejpam-6698	449	12	)	)	PUNCT
ejpam-6698	449	13	)	)	PUNCT
ejpam-6698	449	14	)	)	PUNCT
ejpam-6698	450	1	∣∣	∣∣	X
ejpam-6698	450	2	(	(	PUNCT
ejpam-6698	450	3	q	q	NOUN
ejpam-6698	450	4	+	+	NUM
ejpam-6698	450	5	q2	q2	NOUN
ejpam-6698	450	6	+	+	CCONJ
ejpam-6698	450	7	µ)2	µ)2	NOUN
ejpam-6698	450	8	−	−	VERB
ejpam-6698	450	9	6(q	6(q	NUM
ejpam-6698	450	10	+	+	NUM
ejpam-6698	450	11	µ)2	µ)2	NOUN
ejpam-6698	450	12	[	[	PUNCT
ejpam-6698	450	13	q3(1	q3(1	PROPN
ejpam-6698	450	14	+	+	CCONJ
ejpam-6698	450	15	q(3	q(3	PROPN
ejpam-6698	450	16	+	+	CCONJ
ejpam-6698	450	17	q))ϑ2q	q))ϑ2q	NOUN
ejpam-6698	450	18	−	−	PROPN
ejpam-6698	450	19	q(1	q(1	NOUN
ejpam-6698	450	20	+	+	CCONJ
ejpam-6698	450	21	q	q	X
ejpam-6698	450	22	)	)	PUNCT
ejpam-6698	450	23	(	(	PUNCT
ejpam-6698	450	24	1	1	NUM
ejpam-6698	450	25	+	+	NUM
ejpam-6698	450	26	2q(1	2q(1	NUM
ejpam-6698	450	27	+	+	CCONJ
ejpam-6698	450	28	q(1	q(1	NOUN
ejpam-6698	450	29	+	+	CCONJ
ejpam-6698	450	30	q)(3	q)(3	X
ejpam-6698	450	31	+	+	CCONJ
ejpam-6698	450	32	4q	4q	NOUN
ejpam-6698	450	33	)	)	PUNCT
ejpam-6698	450	34	)	)	PUNCT
ejpam-6698	450	35	)	)	PUNCT
ejpam-6698	451	1	ϑ3q	ϑ3q	NOUN
ejpam-6698	451	2	−	−	PROPN
ejpam-6698	451	3	(	(	PUNCT
ejpam-6698	451	4	−3q2(1	−3q2(1	NUM
ejpam-6698	451	5	+	+	CCONJ
ejpam-6698	451	6	2q)ϑ2q	2q)ϑ2q	NUM
ejpam-6698	451	7	+	+	PUNCT
ejpam-6698	451	8	ϑ3q	ϑ3q	NOUN
ejpam-6698	451	9	+	+	NOUN
ejpam-6698	451	10	q	q	X
ejpam-6698	451	11	(	(	PUNCT
ejpam-6698	451	12	3	3	NUM
ejpam-6698	451	13	+	+	CCONJ
ejpam-6698	451	14	q(15	q(15	NOUN
ejpam-6698	451	15	+	+	NUM
ejpam-6698	451	16	18q	18q	NOUN
ejpam-6698	451	17	+	+	PUNCT
ejpam-6698	451	18	4q2	4q2	NUM
ejpam-6698	452	1	+	+	NUM
ejpam-6698	452	2	8(1	8(1	NOUN
ejpam-6698	452	3	+	+	CCONJ
ejpam-6698	452	4	q)(3	q)(3	X
ejpam-6698	452	5	+	+	CCONJ
ejpam-6698	452	6	q)q	q)q	ADJ
ejpam-6698	452	7	)	)	PUNCT
ejpam-6698	452	8	)	)	PUNCT
ejpam-6698	452	9	ϑ3q	ϑ3q	NOUN
ejpam-6698	452	10	)	)	PUNCT
ejpam-6698	452	11	µ	µ	NOUN
ejpam-6698	452	12	−	−	NOUN
ejpam-6698	452	13	(	(	PUNCT
ejpam-6698	452	14	q(−3	q(−3	NOUN
ejpam-6698	452	15	+	+	CCONJ
ejpam-6698	452	16	(	(	PUNCT
ejpam-6698	452	17	−3	−3	PROPN
ejpam-6698	452	18	+	+	CCONJ
ejpam-6698	452	19	q)q)ϑ2q	q)q)ϑ2q	PROPN
ejpam-6698	452	20	+	+	NOUN
ejpam-6698	452	21	ϑ3q	ϑ3q	NOUN
ejpam-6698	452	22	+	+	PUNCT
ejpam-6698	452	23	4q(3	4q(3	NUM
ejpam-6698	452	24	+	+	CCONJ
ejpam-6698	452	25	2q)(1	2q)(1	NUM
ejpam-6698	452	26	+	+	CCONJ
ejpam-6698	452	27	2q)ϑ3q	2q)ϑ3q	NUM
ejpam-6698	452	28	)	)	PUNCT
ejpam-6698	453	1	µ2	µ2	PROPN
ejpam-6698	453	2	+	+	CCONJ
ejpam-6698	453	3	(	(	PUNCT
ejpam-6698	453	4	ϑ2q	ϑ2q	VERB
ejpam-6698	453	5	−	−	PROPN
ejpam-6698	453	6	4(ϑ3q	4(ϑ3q	NUM
ejpam-6698	453	7	+	+	CCONJ
ejpam-6698	453	8	2qϑ3q	2qϑ3q	NUM
ejpam-6698	453	9	)	)	PUNCT
ejpam-6698	453	10	)	)	PUNCT
ejpam-6698	453	11	µ3	µ3	NOUN
ejpam-6698	453	12	]	]	PUNCT
ejpam-6698	453	13	,	,	PUNCT
ejpam-6698	453	14	and	and	CCONJ
ejpam-6698	453	15	x2	x2	INTJ
ejpam-6698	453	16	:	:	PUNCT
ejpam-6698	453	17	=	=	SYM
ejpam-6698	453	18	−(q	−(q	NOUN
ejpam-6698	453	19	+	+	CCONJ
ejpam-6698	453	20	µ)2	µ)2	NOUN
ejpam-6698	453	21	[	[	PUNCT
ejpam-6698	453	22	2q5(3	2q5(3	NUM
ejpam-6698	453	23	+	+	NUM
ejpam-6698	453	24	4q)ϑ3q	4q)ϑ3q	NOUN
ejpam-6698	453	25	+	+	CCONJ
ejpam-6698	453	26	qϑ3q	qϑ3q	NUM
ejpam-6698	453	27	(	(	PUNCT
ejpam-6698	453	28	1	1	NUM
ejpam-6698	453	29	+	+	SYM
ejpam-6698	453	30	3µ+	3µ+	NUM
ejpam-6698	453	31	12(1	12(1	NOUN
ejpam-6698	453	32	+	+	CCONJ
ejpam-6698	453	33	2q)µ2	2q)µ2	NUM
ejpam-6698	453	34	)	)	PUNCT
ejpam-6698	454	1	+	+	CCONJ
ejpam-6698	454	2	ϑ3qµ	ϑ3qµ	PUNCT
ejpam-6698	454	3	(	(	PUNCT
ejpam-6698	454	4	1	1	NUM
ejpam-6698	454	5	+	+	CCONJ
ejpam-6698	454	6	µ+	µ+	X
ejpam-6698	454	7	(	(	PUNCT
ejpam-6698	454	8	4	4	NUM
ejpam-6698	454	9	+	+	NUM
ejpam-6698	454	10	8q)µ2	8q)µ2	NUM
ejpam-6698	454	11	)	)	PUNCT
ejpam-6698	455	1	+	+	CCONJ
ejpam-6698	455	2	2q3	2q3	NUM
ejpam-6698	455	3	(	(	PUNCT
ejpam-6698	455	4	ϑ2q(−2	ϑ2q(−2	NOUN
ejpam-6698	455	5	+	+	NUM
ejpam-6698	455	6	µ)µ+	µ)µ+	PROPN
ejpam-6698	455	7	ϑ3q(4	ϑ3q(4	NOUN
ejpam-6698	455	8	+	+	NUM
ejpam-6698	455	9	4q	4q	NOUN
ejpam-6698	455	10	+	+	CCONJ
ejpam-6698	455	11	9µ+	9µ+	NUM
ejpam-6698	455	12	16qµ	16qµ	NOUN
ejpam-6698	455	13	)	)	PUNCT
ejpam-6698	455	14	)	)	PUNCT
ejpam-6698	455	15	a.	a.	NOUN
ejpam-6698	455	16	alsoboh	alsoboh	PROPN
ejpam-6698	455	17	et	et	PROPN
ejpam-6698	455	18	al	al	PROPN
ejpam-6698	455	19	.	.	PUNCT
ejpam-6698	455	20	/	/	SYM
ejpam-6698	455	21	eur	eur	PROPN
ejpam-6698	455	22	.	.	PUNCT
ejpam-6698	456	1	j.	j.	PROPN
ejpam-6698	456	2	pure	pure	PROPN
ejpam-6698	456	3	appl	appl	PROPN
ejpam-6698	456	4	.	.	PROPN
ejpam-6698	456	5	math	math	PROPN
ejpam-6698	456	6	,	,	PUNCT
ejpam-6698	456	7	18	18	NUM
ejpam-6698	456	8	(	(	PUNCT
ejpam-6698	456	9	3	3	NUM
ejpam-6698	456	10	)	)	PUNCT
ejpam-6698	456	11	(	(	PUNCT
ejpam-6698	456	12	2025	2025	NUM
ejpam-6698	456	13	)	)	PUNCT
ejpam-6698	456	14	,	,	PUNCT
ejpam-6698	456	15	6698	6698	NUM
ejpam-6698	456	16	21	21	NUM
ejpam-6698	456	17	of	of	ADP
ejpam-6698	456	18	25	25	NUM
ejpam-6698	456	19	+	+	NUM
ejpam-6698	456	20	q2	q2	NOUN
ejpam-6698	456	21	(	(	PUNCT
ejpam-6698	456	22	−2ϑ2qµ	−2ϑ2qµ	NOUN
ejpam-6698	456	23	2	2	NUM
ejpam-6698	456	24	+	+	NUM
ejpam-6698	456	25	ϑ3q	ϑ3q	NOUN
ejpam-6698	456	26	(	(	PUNCT
ejpam-6698	456	27	3	3	NUM
ejpam-6698	456	28	+	+	SYM
ejpam-6698	456	29	3(5	3(5	NUM
ejpam-6698	456	30	+	+	NUM
ejpam-6698	456	31	8q)µ+	8q)µ+	ADJ
ejpam-6698	456	32	8(1	8(1	NOUN
ejpam-6698	456	33	+	+	CCONJ
ejpam-6698	456	34	2q)µ2	2q)µ2	NUM
ejpam-6698	456	35	)	)	PUNCT
ejpam-6698	456	36	)	)	PUNCT
ejpam-6698	457	1	+	+	CCONJ
ejpam-6698	457	2	2q4	2q4	NUM
ejpam-6698	457	3	(	(	PUNCT
ejpam-6698	457	4	ϑ2q(−1	ϑ2q(−1	X
ejpam-6698	457	5	+	+	X
ejpam-6698	457	6	µ	µ	X
ejpam-6698	457	7	)	)	PUNCT
ejpam-6698	457	8	+	+	CCONJ
ejpam-6698	457	9	2ϑ3q(3	2ϑ3q(3	NUM
ejpam-6698	457	10	+	+	CCONJ
ejpam-6698	457	11	µ+	µ+	X
ejpam-6698	457	12	2q(2	2q(2	NUM
ejpam-6698	457	13	+	+	SYM
ejpam-6698	457	14	µ	µ	NOUN
ejpam-6698	457	15	)	)	PUNCT
ejpam-6698	457	16	)	)	PUNCT
ejpam-6698	457	17	)	)	PUNCT
ejpam-6698	457	18	]	]	PUNCT
ejpam-6698	457	19	,	,	PUNCT
ejpam-6698	457	20	let	let	VERB
ejpam-6698	457	21	us	we	PRON
ejpam-6698	457	22	suppose	suppose	VERB
ejpam-6698	457	23	that	that	SCONJ
ejpam-6698	457	24	the	the	DET
ejpam-6698	457	25	function	function	NOUN
ejpam-6698	457	26	y(c	y(c	NOUN
ejpam-6698	457	27	)	)	PUNCT
ejpam-6698	457	28	attains	attain	VERB
ejpam-6698	457	29	its	its	PRON
ejpam-6698	457	30	maximum	maximum	NOUN
ejpam-6698	457	31	at	at	ADP
ejpam-6698	457	32	an	an	DET
ejpam-6698	457	33	interior	interior	ADJ
ejpam-6698	457	34	point	point	NOUN
ejpam-6698	457	35	in	in	ADP
ejpam-6698	457	36	the	the	DET
ejpam-6698	457	37	interval	interval	NOUN
ejpam-6698	457	38	c	c	PROPN
ejpam-6698	457	39	∈	∈	PROPN
ejpam-6698	458	1	[	[	X
ejpam-6698	458	2	0	0	NUM
ejpam-6698	458	3	,	,	PUNCT
ejpam-6698	458	4	2	2	NUM
ejpam-6698	458	5	]	]	PUNCT
ejpam-6698	458	6	.	.	PUNCT
ejpam-6698	459	1	through	through	ADP
ejpam-6698	459	2	straightforward	straightforward	ADJ
ejpam-6698	459	3	computations	computation	NOUN
ejpam-6698	459	4	,	,	PUNCT
ejpam-6698	459	5	we	we	PRON
ejpam-6698	459	6	obtain	obtain	VERB
ejpam-6698	459	7	the	the	DET
ejpam-6698	459	8	following	follow	VERB
ejpam-6698	459	9	expression	expression	NOUN
ejpam-6698	459	10	:	:	PUNCT
ejpam-6698	459	11	y	y	NOUN
ejpam-6698	459	12	′(c	′(c	NOUN
ejpam-6698	459	13	)	)	PUNCT
ejpam-6698	459	14	=	=	SYM
ejpam-6698	459	15	(	(	PUNCT
ejpam-6698	459	16	x1c	x1c	NOUN
ejpam-6698	459	17	2	2	NUM
ejpam-6698	459	18	+	+	CCONJ
ejpam-6698	459	19	12q)c	12q)c	NUM
ejpam-6698	459	20	24(q	24(q	NUM
ejpam-6698	459	21	+	+	CCONJ
ejpam-6698	459	22	µ)4(q	µ)4(q	ADP
ejpam-6698	459	23	+	+	NUM
ejpam-6698	459	24	q2	q2	NOUN
ejpam-6698	459	25	+	+	CCONJ
ejpam-6698	459	26	µ)2(q	µ)2(q	PROPN
ejpam-6698	459	27	+	+	CCONJ
ejpam-6698	459	28	q2	q2	NOUN
ejpam-6698	459	29	+	+	CCONJ
ejpam-6698	459	30	q3	q3	PROPN
ejpam-6698	459	31	+	+	CCONJ
ejpam-6698	459	32	µ	µ	NOUN
ejpam-6698	459	33	)	)	PUNCT
ejpam-6698	459	34	.	.	PUNCT
ejpam-6698	460	1	in	in	ADP
ejpam-6698	460	2	the	the	DET
ejpam-6698	460	3	subsequent	subsequent	ADJ
ejpam-6698	460	4	analysis	analysis	NOUN
ejpam-6698	460	5	,	,	PUNCT
ejpam-6698	460	6	we	we	PRON
ejpam-6698	460	7	investigate	investigate	VERB
ejpam-6698	460	8	the	the	DET
ejpam-6698	460	9	sign	sign	NOUN
ejpam-6698	460	10	of	of	ADP
ejpam-6698	460	11	y	y	PROPN
ejpam-6698	460	12	′(c	′(c	NOUN
ejpam-6698	460	13	)	)	PUNCT
ejpam-6698	460	14	by	by	ADP
ejpam-6698	460	15	considering	consider	VERB
ejpam-6698	460	16	various	various	ADJ
ejpam-6698	460	17	combinations	combination	NOUN
ejpam-6698	460	18	of	of	ADP
ejpam-6698	460	19	the	the	DET
ejpam-6698	460	20	signs	sign	NOUN
ejpam-6698	460	21	of	of	ADP
ejpam-6698	460	22	x1	x1	PROPN
ejpam-6698	460	23	and	and	CCONJ
ejpam-6698	460	24	q	q	NOUN
ejpam-6698	460	25	,	,	PUNCT
ejpam-6698	460	26	as	as	SCONJ
ejpam-6698	460	27	detailed	detailed	ADJ
ejpam-6698	460	28	below	below	ADV
ejpam-6698	460	29	:	:	PUNCT
ejpam-6698	460	30	(	(	PUNCT
ejpam-6698	460	31	i	i	NOUN
ejpam-6698	460	32	)	)	PUNCT
ejpam-6698	460	33	let	let	VERB
ejpam-6698	460	34	x1	x1	PROPN
ejpam-6698	460	35	≥	≥	NOUN
ejpam-6698	460	36	0	0	NUM
ejpam-6698	461	1	and	and	CCONJ
ejpam-6698	461	2	x2	x2	PROPN
ejpam-6698	461	3	≥	≥	NOUN
ejpam-6698	461	4	0	0	NUM
ejpam-6698	461	5	,	,	PUNCT
ejpam-6698	461	6	then	then	ADV
ejpam-6698	461	7	y	y	PROPN
ejpam-6698	461	8	′(c	′(c	NOUN
ejpam-6698	461	9	)	)	PUNCT
ejpam-6698	461	10	≥	≥	NOUN
ejpam-6698	461	11	0	0	NUM
ejpam-6698	461	12	,	,	PUNCT
ejpam-6698	461	13	so	so	ADV
ejpam-6698	461	14	y(c	y(c	ADJ
ejpam-6698	461	15	)	)	PUNCT
ejpam-6698	461	16	is	be	AUX
ejpam-6698	461	17	an	an	DET
ejpam-6698	461	18	increasing	increase	VERB
ejpam-6698	461	19	function	function	NOUN
ejpam-6698	461	20	.	.	PUNCT
ejpam-6698	462	1	therefore	therefore	ADV
ejpam-6698	462	2	,	,	PUNCT
ejpam-6698	462	3	max	max	PROPN
ejpam-6698	462	4	{	{	PUNCT
ejpam-6698	462	5	y(c	y(c	PROPN
ejpam-6698	462	6	)	)	PUNCT
ejpam-6698	462	7	:	:	PUNCT
ejpam-6698	462	8	c	c	X
ejpam-6698	462	9	∈	∈	PROPN
ejpam-6698	462	10	(	(	PUNCT
ejpam-6698	462	11	0	0	NUM
ejpam-6698	462	12	,	,	PUNCT
ejpam-6698	462	13	2	2	NUM
ejpam-6698	462	14	)	)	PUNCT
ejpam-6698	462	15	}	}	PUNCT
ejpam-6698	462	16	=	=	SYM
ejpam-6698	462	17	y(2−	y(2−	NOUN
ejpam-6698	462	18	)	)	PUNCT
ejpam-6698	462	19	=	=	SYM
ejpam-6698	462	20	ϑ2q	ϑ2q	NOUN
ejpam-6698	462	21	(	(	PUNCT
ejpam-6698	462	22	q	q	SYM
ejpam-6698	462	23	+	+	NUM
ejpam-6698	462	24	q2	q2	NOUN
ejpam-6698	462	25	+	+	CCONJ
ejpam-6698	462	26	µ)2	µ)2	NOUN
ejpam-6698	462	27	+	+	CCONJ
ejpam-6698	462	28	x1	x1	PROPN
ejpam-6698	463	1	+	+	NUM
ejpam-6698	463	2	6x2c	6x2c	NUM
ejpam-6698	463	3	2	2	NUM
ejpam-6698	463	4	6(q	6(q	NUM
ejpam-6698	463	5	+	+	CCONJ
ejpam-6698	463	6	µ)4(q	µ)4(q	ADP
ejpam-6698	463	7	+	+	NUM
ejpam-6698	463	8	q2	q2	NOUN
ejpam-6698	463	9	+	+	CCONJ
ejpam-6698	463	10	µ)2(q	µ)2(q	PROPN
ejpam-6698	463	11	+	+	CCONJ
ejpam-6698	463	12	q2	q2	NOUN
ejpam-6698	463	13	+	+	CCONJ
ejpam-6698	463	14	q3	q3	PROPN
ejpam-6698	463	15	+	+	CCONJ
ejpam-6698	463	16	µ	µ	NOUN
ejpam-6698	463	17	)	)	PUNCT
ejpam-6698	463	18	,	,	PUNCT
ejpam-6698	463	19	(	(	PUNCT
ejpam-6698	463	20	53	53	NUM
ejpam-6698	463	21	)	)	PUNCT
ejpam-6698	463	22	that	that	PRON
ejpam-6698	463	23	is	be	AUX
ejpam-6698	463	24	,	,	PUNCT
ejpam-6698	463	25	max	max	PROPN
ejpam-6698	463	26	{	{	PUNCT
ejpam-6698	463	27	max	max	PROPN
ejpam-6698	463	28	{	{	PUNCT
ejpam-6698	463	29	f	f	PROPN
ejpam-6698	463	30	(	(	PUNCT
ejpam-6698	463	31	ϵ1	ϵ1	ADJ
ejpam-6698	463	32	,	,	PUNCT
ejpam-6698	463	33	ϵ2	ϵ2	ADJ
ejpam-6698	463	34	)	)	PUNCT
ejpam-6698	463	35	:	:	PUNCT
ejpam-6698	463	36	ϵ1	ϵ1	ADJ
ejpam-6698	463	37	,	,	PUNCT
ejpam-6698	463	38	ϵ2	ϵ2	PROPN
ejpam-6698	463	39	∈	∈	PROPN
ejpam-6698	464	1	[	[	X
ejpam-6698	464	2	0	0	NUM
ejpam-6698	464	3	,	,	PUNCT
ejpam-6698	464	4	1	1	NUM
ejpam-6698	464	5	]	]	PUNCT
ejpam-6698	464	6	}	}	PUNCT
ejpam-6698	464	7	:	:	PUNCT
ejpam-6698	464	8	c	c	X
ejpam-6698	464	9	∈	∈	PROPN
ejpam-6698	464	10	(	(	PUNCT
ejpam-6698	464	11	0	0	NUM
ejpam-6698	464	12	,	,	PUNCT
ejpam-6698	464	13	2	2	NUM
ejpam-6698	464	14	)	)	PUNCT
ejpam-6698	464	15	}	}	PUNCT
ejpam-6698	464	16	=	=	SYM
ejpam-6698	464	17	y(2−	y(2−	NOUN
ejpam-6698	464	18	)	)	PUNCT
ejpam-6698	464	19	.	.	PUNCT
ejpam-6698	465	1	(	(	PUNCT
ejpam-6698	465	2	ii	ii	NOUN
ejpam-6698	465	3	)	)	PUNCT
ejpam-6698	465	4	let	let	VERB
ejpam-6698	465	5	x1	x1	PRON
ejpam-6698	465	6	>	>	X
ejpam-6698	465	7	0	0	PUNCT
ejpam-6698	466	1	and	and	CCONJ
ejpam-6698	466	2	x2	x2	NOUN
ejpam-6698	466	3	<	<	X
ejpam-6698	466	4	0	0	NUM
ejpam-6698	466	5	,	,	PUNCT
ejpam-6698	466	6	then	then	ADV
ejpam-6698	466	7	c0	c0	PROPN
ejpam-6698	466	8	=	=	PUNCT
ejpam-6698	467	1	√	√	NUM
ejpam-6698	467	2	−12x2	−12x2	PUNCT
ejpam-6698	467	3	x1	x1	PRON
ejpam-6698	467	4	is	be	AUX
ejpam-6698	467	5	a	a	DET
ejpam-6698	467	6	critical	critical	ADJ
ejpam-6698	467	7	point	point	NOUN
ejpam-6698	467	8	of	of	ADP
ejpam-6698	467	9	the	the	DET
ejpam-6698	467	10	function	function	NOUN
ejpam-6698	467	11	y(c	y(c	PROPN
ejpam-6698	467	12	)	)	PUNCT
ejpam-6698	467	13	.	.	PUNCT
ejpam-6698	468	1	we	we	PRON
ejpam-6698	468	2	assume	assume	VERB
ejpam-6698	468	3	that	that	SCONJ
ejpam-6698	468	4	c0	c0	PROPN
ejpam-6698	468	5	∈	∈	PROPN
ejpam-6698	468	6	(	(	PUNCT
ejpam-6698	468	7	0	0	NUM
ejpam-6698	468	8	,	,	PUNCT
ejpam-6698	468	9	2	2	NUM
ejpam-6698	468	10	)	)	PUNCT
ejpam-6698	468	11	.	.	PUNCT
ejpam-6698	469	1	since	since	SCONJ
ejpam-6698	469	2	y	y	PROPN
ejpam-6698	469	3	′′(c	′′(c	ADV
ejpam-6698	469	4	)	)	PUNCT
ejpam-6698	469	5	>	>	X
ejpam-6698	469	6	0	0	NUM
ejpam-6698	469	7	,	,	PUNCT
ejpam-6698	469	8	c0	c0	PROPN
ejpam-6698	469	9	is	be	AUX
ejpam-6698	469	10	a	a	DET
ejpam-6698	469	11	local	local	ADJ
ejpam-6698	469	12	minimum	minimum	NOUN
ejpam-6698	469	13	point	point	NOUN
ejpam-6698	469	14	of	of	ADP
ejpam-6698	469	15	the	the	DET
ejpam-6698	469	16	function	function	NOUN
ejpam-6698	469	17	y(c	y(c	PROPN
ejpam-6698	469	18	)	)	PUNCT
ejpam-6698	469	19	.	.	PUNCT
ejpam-6698	470	1	that	that	PRON
ejpam-6698	470	2	is	be	AUX
ejpam-6698	470	3	,	,	PUNCT
ejpam-6698	470	4	the	the	DET
ejpam-6698	470	5	function	function	NOUN
ejpam-6698	470	6	y(c	y(c	NOUN
ejpam-6698	470	7	)	)	PUNCT
ejpam-6698	470	8	can	can	AUX
ejpam-6698	470	9	not	not	PART
ejpam-6698	470	10	have	have	VERB
ejpam-6698	470	11	a	a	DET
ejpam-6698	470	12	local	local	ADJ
ejpam-6698	470	13	maximum	maximum	NOUN
ejpam-6698	470	14	.	.	PUNCT
ejpam-6698	471	1	(	(	PUNCT
ejpam-6698	471	2	iii	iii	X
ejpam-6698	471	3	)	)	PUNCT
ejpam-6698	471	4	let	let	VERB
ejpam-6698	471	5	x1	x1	NOUN
ejpam-6698	471	6	≤	≤	NUM
ejpam-6698	471	7	0	0	NUM
ejpam-6698	472	1	and	and	CCONJ
ejpam-6698	472	2	x2	x2	PROPN
ejpam-6698	472	3	≤	≤	ADV
ejpam-6698	472	4	0	0	NUM
ejpam-6698	472	5	,	,	PUNCT
ejpam-6698	472	6	then	then	ADV
ejpam-6698	472	7	y	y	PROPN
ejpam-6698	472	8	′(c	′(c	NOUN
ejpam-6698	472	9	)	)	PUNCT
ejpam-6698	472	10	≤	≤	NOUN
ejpam-6698	472	11	0	0	NUM
ejpam-6698	472	12	,	,	PUNCT
ejpam-6698	472	13	so	so	ADV
ejpam-6698	472	14	y(c	y(c	ADJ
ejpam-6698	472	15	)	)	PUNCT
ejpam-6698	472	16	is	be	AUX
ejpam-6698	472	17	a	a	DET
ejpam-6698	472	18	decreasing	decrease	VERB
ejpam-6698	472	19	function	function	NOUN
ejpam-6698	472	20	on	on	ADP
ejpam-6698	472	21	the	the	DET
ejpam-6698	472	22	interval	interval	NOUN
ejpam-6698	472	23	(	(	PUNCT
ejpam-6698	472	24	0	0	NUM
ejpam-6698	472	25	,	,	PUNCT
ejpam-6698	472	26	2	2	NUM
ejpam-6698	472	27	)	)	PUNCT
ejpam-6698	472	28	.	.	PUNCT
ejpam-6698	473	1	therefore	therefore	ADV
ejpam-6698	473	2	,	,	PUNCT
ejpam-6698	473	3	max{y(c	max{y(c	PROPN
ejpam-6698	473	4	)	)	PUNCT
ejpam-6698	473	5	:	:	PUNCT
ejpam-6698	473	6	c	c	X
ejpam-6698	473	7	∈	∈	PROPN
ejpam-6698	473	8	(	(	PUNCT
ejpam-6698	473	9	0	0	NUM
ejpam-6698	473	10	,	,	PUNCT
ejpam-6698	473	11	2	2	NUM
ejpam-6698	473	12	)	)	PUNCT
ejpam-6698	473	13	}	}	PUNCT
ejpam-6698	473	14	=	=	SYM
ejpam-6698	473	15	y(0	y(0	PROPN
ejpam-6698	473	16	+	+	PROPN
ejpam-6698	473	17	)	)	PUNCT
ejpam-6698	473	18	=	=	SYM
ejpam-6698	473	19	4λ4	4λ4	NUM
ejpam-6698	473	20	=	=	PUNCT
ejpam-6698	473	21	ϑ2q	ϑ2q	X
ejpam-6698	473	22	(	(	PUNCT
ejpam-6698	473	23	q	q	SYM
ejpam-6698	473	24	+	+	NUM
ejpam-6698	473	25	q2	q2	NOUN
ejpam-6698	473	26	+	+	CCONJ
ejpam-6698	473	27	µ)2	µ)2	NOUN
ejpam-6698	473	28	.	.	PUNCT
ejpam-6698	474	1	(	(	PUNCT
ejpam-6698	474	2	54	54	NUM
ejpam-6698	474	3	)	)	PUNCT
ejpam-6698	474	4	(	(	PUNCT
ejpam-6698	474	5	iv	iv	X
ejpam-6698	474	6	)	)	PUNCT
ejpam-6698	474	7	let	let	VERB
ejpam-6698	474	8	x1	x1	PRON
ejpam-6698	474	9	<	<	X
ejpam-6698	474	10	0	0	PUNCT
ejpam-6698	475	1	and	and	CCONJ
ejpam-6698	475	2	x2	x2	ADJ
ejpam-6698	475	3	>	>	X
ejpam-6698	475	4	0	0	PROPN
ejpam-6698	475	5	,	,	PUNCT
ejpam-6698	475	6	then	then	ADV
ejpam-6698	475	7	c0	c0	PROPN
ejpam-6698	475	8	is	be	AUX
ejpam-6698	475	9	a	a	DET
ejpam-6698	475	10	critical	critical	ADJ
ejpam-6698	475	11	point	point	NOUN
ejpam-6698	475	12	of	of	ADP
ejpam-6698	475	13	the	the	DET
ejpam-6698	475	14	function	function	NOUN
ejpam-6698	475	15	y(c	y(c	PROPN
ejpam-6698	475	16	)	)	PUNCT
ejpam-6698	475	17	.	.	PUNCT
ejpam-6698	476	1	we	we	PRON
ejpam-6698	476	2	assume	assume	VERB
ejpam-6698	476	3	that	that	SCONJ
ejpam-6698	476	4	c0	c0	PROPN
ejpam-6698	476	5	∈	∈	PROPN
ejpam-6698	476	6	(	(	PUNCT
ejpam-6698	476	7	0	0	NUM
ejpam-6698	476	8	,	,	PUNCT
ejpam-6698	476	9	2	2	NUM
ejpam-6698	476	10	)	)	PUNCT
ejpam-6698	476	11	.	.	PUNCT
ejpam-6698	477	1	since	since	SCONJ
ejpam-6698	477	2	y	y	PROPN
ejpam-6698	477	3	′′(c	′′(c	ADV
ejpam-6698	477	4	)	)	PUNCT
ejpam-6698	477	5	<	<	X
ejpam-6698	477	6	0	0	NUM
ejpam-6698	477	7	,	,	PUNCT
ejpam-6698	477	8	c0	c0	PROPN
ejpam-6698	477	9	is	be	AUX
ejpam-6698	477	10	a	a	DET
ejpam-6698	477	11	local	local	ADJ
ejpam-6698	477	12	maximum	maximum	ADJ
ejpam-6698	477	13	point	point	NOUN
ejpam-6698	477	14	of	of	ADP
ejpam-6698	477	15	the	the	DET
ejpam-6698	477	16	function	function	NOUN
ejpam-6698	477	17	y(c	y(c	PROPN
ejpam-6698	477	18	)	)	PUNCT
ejpam-6698	477	19	,	,	PUNCT
ejpam-6698	477	20	and	and	CCONJ
ejpam-6698	477	21	the	the	DET
ejpam-6698	477	22	maximum	maximum	ADJ
ejpam-6698	477	23	value	value	NOUN
ejpam-6698	477	24	occurs	occur	VERB
ejpam-6698	477	25	at	at	ADP
ejpam-6698	477	26	c	c	PROPN
ejpam-6698	477	27	=	=	SYM
ejpam-6698	477	28	c0	c0	PROPN
ejpam-6698	477	29	.	.	PUNCT
ejpam-6698	478	1	therefore	therefore	ADV
ejpam-6698	478	2	,	,	PUNCT
ejpam-6698	478	3	max{y(c	max{y(c	PROPN
ejpam-6698	478	4	)	)	PUNCT
ejpam-6698	478	5	:	:	PUNCT
ejpam-6698	479	1	c	c	X
ejpam-6698	479	2	∈	∈	PROPN
ejpam-6698	479	3	(	(	PUNCT
ejpam-6698	479	4	0	0	NUM
ejpam-6698	479	5	,	,	PUNCT
ejpam-6698	479	6	2	2	NUM
ejpam-6698	479	7	)	)	PUNCT
ejpam-6698	479	8	}	}	PUNCT
ejpam-6698	479	9	=	=	SYM
ejpam-6698	479	10	y(c0	y(c0	PROPN
ejpam-6698	479	11	)	)	PUNCT
ejpam-6698	479	12	,	,	PUNCT
ejpam-6698	479	13	(	(	PUNCT
ejpam-6698	479	14	55	55	NUM
ejpam-6698	479	15	)	)	PUNCT
ejpam-6698	479	16	where	where	SCONJ
ejpam-6698	479	17	y(c0	y(c0	NOUN
ejpam-6698	479	18	)	)	PUNCT
ejpam-6698	479	19	=	=	PUNCT
ejpam-6698	479	20	ϑ2q	ϑ2q	NOUN
ejpam-6698	479	21	(	(	PUNCT
ejpam-6698	479	22	q	q	SYM
ejpam-6698	479	23	+	+	NUM
ejpam-6698	479	24	q2	q2	NOUN
ejpam-6698	479	25	+	+	CCONJ
ejpam-6698	479	26	µ)2	µ)2	NOUN
ejpam-6698	479	27	−	−	NOUN
ejpam-6698	479	28	3x	3x	NUM
ejpam-6698	479	29	2	2	NUM
ejpam-6698	479	30	2	2	NUM
ejpam-6698	479	31	2x1(q	2x1(q	NUM
ejpam-6698	479	32	+	+	CCONJ
ejpam-6698	479	33	µ)4(q	µ)4(q	X
ejpam-6698	479	34	+	+	NUM
ejpam-6698	479	35	q2	q2	NOUN
ejpam-6698	479	36	+	+	CCONJ
ejpam-6698	479	37	µ)2(q	µ)2(q	PROPN
ejpam-6698	479	38	+	+	CCONJ
ejpam-6698	479	39	q2	q2	NOUN
ejpam-6698	479	40	+	+	CCONJ
ejpam-6698	479	41	q3	q3	PROPN
ejpam-6698	479	42	+	+	CCONJ
ejpam-6698	479	43	µ	µ	X
ejpam-6698	479	44	)	)	PUNCT
ejpam-6698	479	45	a.	a.	NOUN
ejpam-6698	479	46	alsoboh	alsoboh	PROPN
ejpam-6698	479	47	et	et	PROPN
ejpam-6698	479	48	al	al	PROPN
ejpam-6698	479	49	.	.	PUNCT
ejpam-6698	479	50	/	/	SYM
ejpam-6698	479	51	eur	eur	PROPN
ejpam-6698	479	52	.	.	PUNCT
ejpam-6698	480	1	j.	j.	PROPN
ejpam-6698	480	2	pure	pure	PROPN
ejpam-6698	480	3	appl	appl	PROPN
ejpam-6698	480	4	.	.	PROPN
ejpam-6698	480	5	math	math	PROPN
ejpam-6698	480	6	,	,	PUNCT
ejpam-6698	480	7	18	18	NUM
ejpam-6698	480	8	(	(	PUNCT
ejpam-6698	480	9	3	3	NUM
ejpam-6698	480	10	)	)	PUNCT
ejpam-6698	480	11	(	(	PUNCT
ejpam-6698	480	12	2025	2025	NUM
ejpam-6698	480	13	)	)	PUNCT
ejpam-6698	480	14	,	,	PUNCT
ejpam-6698	480	15	6698	6698	NUM
ejpam-6698	480	16	22	22	NUM
ejpam-6698	480	17	of	of	ADP
ejpam-6698	480	18	25	25	NUM
ejpam-6698	480	19	thus	thus	ADV
ejpam-6698	480	20	,	,	PUNCT
ejpam-6698	480	21	from	from	ADP
ejpam-6698	480	22	equations	equation	NOUN
ejpam-6698	480	23	(	(	PUNCT
ejpam-6698	480	24	51	51	NUM
ejpam-6698	480	25	)	)	PUNCT
ejpam-6698	480	26	to	to	ADP
ejpam-6698	480	27	(	(	PUNCT
ejpam-6698	480	28	55	55	NUM
ejpam-6698	480	29	)	)	PUNCT
ejpam-6698	481	1	,	,	PUNCT
ejpam-6698	481	2	the	the	DET
ejpam-6698	481	3	proof	proof	NOUN
ejpam-6698	481	4	is	be	AUX
ejpam-6698	481	5	complete	complete	ADJ
ejpam-6698	481	6	.	.	PUNCT
ejpam-6698	482	1	if	if	SCONJ
ejpam-6698	482	2	µ	µ	X
ejpam-6698	482	3	=	=	SYM
ejpam-6698	482	4	0	0	NUM
ejpam-6698	482	5	,	,	PUNCT
ejpam-6698	482	6	we	we	PRON
ejpam-6698	482	7	obtain	obtain	VERB
ejpam-6698	482	8	the	the	DET
ejpam-6698	482	9	following	follow	VERB
ejpam-6698	482	10	results	result	NOUN
ejpam-6698	482	11	for	for	ADP
ejpam-6698	482	12	the	the	DET
ejpam-6698	482	13	class	class	NOUN
ejpam-6698	482	14	slς(υ(z	slς(υ(z	NOUN
ejpam-6698	482	15	;	;	PUNCT
ejpam-6698	482	16	q	q	X
ejpam-6698	482	17	)	)	PUNCT
ejpam-6698	482	18	)	)	PUNCT
ejpam-6698	483	1	defined	define	VERB
ejpam-6698	483	2	in	in	ADP
ejpam-6698	483	3	example	example	NOUN
ejpam-6698	483	4	(	(	PUNCT
ejpam-6698	483	5	2	2	NUM
ejpam-6698	483	6	)	)	PUNCT
ejpam-6698	483	7	corollary	corollary	ADJ
ejpam-6698	483	8	1	1	NUM
ejpam-6698	483	9	.	.	PUNCT
ejpam-6698	484	1	let	let	VERB
ejpam-6698	484	2	f	f	NOUN
ejpam-6698	484	3	given	give	VERB
ejpam-6698	484	4	by	by	ADP
ejpam-6698	484	5	(	(	PUNCT
ejpam-6698	484	6	1	1	X
ejpam-6698	484	7	)	)	PUNCT
ejpam-6698	484	8	be	be	AUX
ejpam-6698	484	9	in	in	ADP
ejpam-6698	484	10	the	the	DET
ejpam-6698	484	11	class	class	NOUN
ejpam-6698	484	12	slς(υ(z	slς(υ(z	NOUN
ejpam-6698	484	13	)	)	PUNCT
ejpam-6698	484	14	;	;	PUNCT
ejpam-6698	484	15	q	q	X
ejpam-6698	484	16	)	)	PUNCT
ejpam-6698	484	17	.	.	PUNCT
ejpam-6698	485	1	then∣∣a2∣∣	then∣∣a2∣∣	NOUN
ejpam-6698	485	2	≤	≤	PUNCT
ejpam-6698	486	1	∣∣ϑq∣∣	∣∣ϑq∣∣	ADP
ejpam-6698	486	2	q	q	PUNCT
ejpam-6698	486	3	√	√	NUM
ejpam-6698	486	4	1	1	NUM
ejpam-6698	486	5	−	−	PROPN
ejpam-6698	486	6	2qϑq	2qϑq	PROPN
ejpam-6698	486	7	.	.	PUNCT
ejpam-6698	487	1	(	(	PUNCT
ejpam-6698	487	2	56	56	X
ejpam-6698	487	3	)	)	PUNCT
ejpam-6698	487	4	∣∣a3∣∣	∣∣a3∣∣	PROPN
ejpam-6698	487	5	≤	≤	ADJ
ejpam-6698	487	6	∣∣ϑq∣∣(q	∣∣ϑq∣∣(q	NOUN
ejpam-6698	487	7	−	−	PROPN
ejpam-6698	487	8	(	(	PUNCT
ejpam-6698	487	9	1	1	NUM
ejpam-6698	487	10	+	+	CCONJ
ejpam-6698	487	11	q	q	X
ejpam-6698	488	1	+	+	NUM
ejpam-6698	488	2	2q2)ϑq	2q2)ϑq	NUM
ejpam-6698	488	3	)	)	PUNCT
ejpam-6698	488	4	q2(1	q2(1	NOUN
ejpam-6698	488	5	+	+	CCONJ
ejpam-6698	488	6	q	q	X
ejpam-6698	488	7	)	)	PUNCT
ejpam-6698	488	8	(	(	PUNCT
ejpam-6698	488	9	1	1	NUM
ejpam-6698	488	10	−	−	PROPN
ejpam-6698	488	11	2qϑq	2qϑq	NUM
ejpam-6698	488	12	)	)	PUNCT
ejpam-6698	488	13	.	.	PUNCT
ejpam-6698	489	1	(	(	PUNCT
ejpam-6698	489	2	57	57	NUM
ejpam-6698	489	3	)	)	PUNCT
ejpam-6698	489	4	∣∣a3	∣∣a3	NOUN
ejpam-6698	489	5	−	−	PROPN
ejpam-6698	489	6	η	η	PROPN
ejpam-6698	489	7	a22	a22	X
ejpam-6698	489	8	∣∣	∣∣	PROPN
ejpam-6698	489	9	≤	≤	NUM
ejpam-6698	489	10			NUM
ejpam-6698	489	11	|ϑq	|ϑq	NUM
ejpam-6698	489	12	|	|	ADV
ejpam-6698	489	13	q(1+q	q(1+q	PROPN
ejpam-6698	489	14	)	)	PUNCT
ejpam-6698	489	15	,	,	PUNCT
ejpam-6698	489	16	∣∣1	∣∣1	NUM
ejpam-6698	489	17	−	−	PROPN
ejpam-6698	489	18	α	α	X
ejpam-6698	489	19	∣∣	∣∣	X
ejpam-6698	489	20	≤	≤	X
ejpam-6698	489	21	q	q	PUNCT
ejpam-6698	490	1	(	(	PUNCT
ejpam-6698	490	2	1−2qϑq	1−2qϑq	NUM
ejpam-6698	490	3	)	)	PUNCT
ejpam-6698	490	4	(	(	PUNCT
ejpam-6698	490	5	1+q)|ϑq	1+q)|ϑq	NUM
ejpam-6698	490	6	|	|	ADV
ejpam-6698	490	7	|1−α|ϑ2	|1−α|ϑ2	VERB
ejpam-6698	490	8	q	q	NOUN
ejpam-6698	490	9	q2	q2	NOUN
ejpam-6698	490	10	(	(	PUNCT
ejpam-6698	490	11	1−2qϑq	1−2qϑq	NUM
ejpam-6698	490	12	)	)	PUNCT
ejpam-6698	490	13	,	,	PUNCT
ejpam-6698	491	1	∣∣1	∣∣1	NUM
ejpam-6698	491	2	−	−	PROPN
ejpam-6698	491	3	α	α	X
ejpam-6698	491	4	∣∣	∣∣	X
ejpam-6698	491	5	≥	≥	X
ejpam-6698	491	6	q	q	PROPN
ejpam-6698	491	7	(	(	PUNCT
ejpam-6698	491	8	1−2qϑq	1−2qϑq	NUM
ejpam-6698	491	9	)	)	PUNCT
ejpam-6698	491	10	(	(	PUNCT
ejpam-6698	491	11	1+q)|ϑq	1+q)|ϑq	NUM
ejpam-6698	491	12	|	|	INTJ
ejpam-6698	491	13	(	(	PUNCT
ejpam-6698	491	14	58	58	NUM
ejpam-6698	491	15	)	)	PUNCT
ejpam-6698	491	16	if	if	SCONJ
ejpam-6698	491	17	q	q	PROPN
ejpam-6698	491	18	7→	7→	NUM
ejpam-6698	491	19	1−	1−	NUM
ejpam-6698	491	20	and	and	CCONJ
ejpam-6698	491	21	µ	µ	X
ejpam-6698	491	22	=	=	SYM
ejpam-6698	491	23	0	0	NUM
ejpam-6698	491	24	,	,	PUNCT
ejpam-6698	491	25	we	we	PRON
ejpam-6698	491	26	obtain	obtain	VERB
ejpam-6698	491	27	the	the	DET
ejpam-6698	491	28	following	follow	VERB
ejpam-6698	491	29	results	result	NOUN
ejpam-6698	491	30	for	for	ADP
ejpam-6698	491	31	the	the	DET
ejpam-6698	491	32	class	class	NOUN
ejpam-6698	491	33	slς(υ(z	slς(υ(z	NOUN
ejpam-6698	491	34	)	)	PUNCT
ejpam-6698	491	35	)	)	PUNCT
ejpam-6698	492	1	defined	define	VERB
ejpam-6698	492	2	in	in	ADP
ejpam-6698	492	3	example	example	NOUN
ejpam-6698	492	4	(	(	PUNCT
ejpam-6698	492	5	3	3	NUM
ejpam-6698	492	6	)	)	PUNCT
ejpam-6698	492	7	corollary	corollary	ADJ
ejpam-6698	492	8	2	2	NUM
ejpam-6698	492	9	.	.	PUNCT
ejpam-6698	493	1	[	[	X
ejpam-6698	493	2	35	35	NUM
ejpam-6698	493	3	]	]	PUNCT
ejpam-6698	493	4	let	let	VERB
ejpam-6698	493	5	f	f	NOUN
ejpam-6698	493	6	given	give	VERB
ejpam-6698	493	7	by	by	ADP
ejpam-6698	493	8	(	(	PUNCT
ejpam-6698	493	9	1	1	X
ejpam-6698	493	10	)	)	PUNCT
ejpam-6698	493	11	be	be	AUX
ejpam-6698	493	12	in	in	ADP
ejpam-6698	493	13	the	the	DET
ejpam-6698	493	14	class	class	NOUN
ejpam-6698	493	15	slς(υ(z	slς(υ(z	NOUN
ejpam-6698	493	16	)	)	PUNCT
ejpam-6698	493	17	)	)	PUNCT
ejpam-6698	493	18	.	.	PUNCT
ejpam-6698	494	1	then∣∣a2∣∣	then∣∣a2∣∣	NOUN
ejpam-6698	494	2	≤	≤	VERB
ejpam-6698	495	1	∣∣ϑ∣∣	∣∣ϑ∣∣	CCONJ
ejpam-6698	496	1	√	√	NUM
ejpam-6698	496	2	1	1	NUM
ejpam-6698	496	3	−	−	NOUN
ejpam-6698	496	4	2ϑ	2ϑ	NUM
ejpam-6698	496	5	,	,	PUNCT
ejpam-6698	496	6	∣∣a3∣∣	∣∣a3∣∣	PROPN
ejpam-6698	496	7	≤	≤	PROPN
ejpam-6698	496	8	∣∣ϑ∣∣(1	∣∣ϑ∣∣(1	PROPN
ejpam-6698	496	9	−	−	PROPN
ejpam-6698	496	10	4ϑ	4ϑ	NOUN
ejpam-6698	496	11	)	)	PUNCT
ejpam-6698	496	12	2	2	NUM
ejpam-6698	496	13	(	(	PUNCT
ejpam-6698	496	14	1	1	NUM
ejpam-6698	496	15	−	−	NUM
ejpam-6698	496	16	2ϑ	2ϑ	NUM
ejpam-6698	496	17	)	)	PUNCT
ejpam-6698	496	18	.	.	PUNCT
ejpam-6698	497	1	and	and	CCONJ
ejpam-6698	497	2	∣∣a3	∣∣a3	NOUN
ejpam-6698	497	3	−	−	PROPN
ejpam-6698	497	4	η	η	PROPN
ejpam-6698	497	5	a22	a22	X
ejpam-6698	497	6	∣∣	∣∣	PROPN
ejpam-6698	497	7	≤	≤	PROPN
ejpam-6698	497	8			PUNCT
ejpam-6698	497	9	|ϑ|	|ϑ|	ADV
ejpam-6698	497	10	2	2	NUM
ejpam-6698	497	11	,	,	PUNCT
ejpam-6698	497	12	∣∣1	∣∣1	NUM
ejpam-6698	497	13	−	−	PROPN
ejpam-6698	497	14	α	α	SYM
ejpam-6698	497	15	∣∣	∣∣	NUM
ejpam-6698	497	16	≤	≤	NUM
ejpam-6698	497	17	1−2ϑ	1−2ϑ	NUM
ejpam-6698	497	18	2|ϑ|	2|ϑ|	NUM
ejpam-6698	497	19	(	(	PUNCT
ejpam-6698	497	20	1−α)ϑ2	1−α)ϑ2	NUM
ejpam-6698	497	21	1−2ϑ	1−2ϑ	NUM
ejpam-6698	497	22	,	,	PUNCT
ejpam-6698	497	23	∣∣1	∣∣1	NUM
ejpam-6698	497	24	−	−	PROPN
ejpam-6698	497	25	α	α	X
ejpam-6698	497	26	∣∣	∣∣	NUM
ejpam-6698	497	27	≥	≥	NUM
ejpam-6698	497	28	1−2ϑ	1−2ϑ	NUM
ejpam-6698	497	29	2|ϑ|	2|ϑ|	NUM
ejpam-6698	497	30	4	4	NUM
ejpam-6698	497	31	.	.	PUNCT
ejpam-6698	498	1	conclusion	conclusion	NOUN
ejpam-6698	498	2	in	in	ADP
ejpam-6698	498	3	this	this	DET
ejpam-6698	498	4	study	study	NOUN
ejpam-6698	498	5	,	,	PUNCT
ejpam-6698	498	6	we	we	PRON
ejpam-6698	498	7	introduced	introduce	VERB
ejpam-6698	498	8	and	and	CCONJ
ejpam-6698	498	9	analyzed	analyze	VERB
ejpam-6698	498	10	a	a	DET
ejpam-6698	498	11	subclass	subclass	NOUN
ejpam-6698	498	12	of	of	ADP
ejpam-6698	498	13	bi	bi	ADJ
ejpam-6698	498	14	-	-	ADJ
ejpam-6698	498	15	univalent	univalent	ADJ
ejpam-6698	498	16	functions	function	NOUN
ejpam-6698	498	17	associated	associate	VERB
ejpam-6698	498	18	with	with	ADP
ejpam-6698	498	19	shell	shell	NOUN
ejpam-6698	498	20	-	-	PUNCT
ejpam-6698	498	21	like	like	ADJ
ejpam-6698	498	22	curves	curve	NOUN
ejpam-6698	498	23	,	,	PUNCT
ejpam-6698	498	24	formulated	formulate	VERB
ejpam-6698	498	25	via	via	ADP
ejpam-6698	498	26	the	the	DET
ejpam-6698	498	27	q	q	NOUN
ejpam-6698	498	28	-	-	PUNCT
ejpam-6698	498	29	analogue	analogue	NOUN
ejpam-6698	498	30	of	of	ADP
ejpam-6698	498	31	fibonacci	fibonacci	NOUN
ejpam-6698	498	32	numbers	number	NOUN
ejpam-6698	498	33	,	,	PUNCT
ejpam-6698	498	34	within	within	ADP
ejpam-6698	498	35	the	the	DET
ejpam-6698	498	36	framework	framework	NOUN
ejpam-6698	498	37	of	of	ADP
ejpam-6698	498	38	the	the	DET
ejpam-6698	498	39	bazilevič-type	bazilevič-type	NOUN
ejpam-6698	498	40	class	class	NOUN
ejpam-6698	498	41	.	.	PUNCT
ejpam-6698	499	1	by	by	ADP
ejpam-6698	499	2	employing	employ	VERB
ejpam-6698	499	3	the	the	DET
ejpam-6698	499	4	subordination	subordination	NOUN
ejpam-6698	499	5	principle	principle	NOUN
ejpam-6698	499	6	,	,	PUNCT
ejpam-6698	499	7	we	we	PRON
ejpam-6698	499	8	obtained	obtain	VERB
ejpam-6698	499	9	sharp	sharp	ADJ
ejpam-6698	499	10	bounds	bound	NOUN
ejpam-6698	499	11	for	for	ADP
ejpam-6698	499	12	the	the	DET
ejpam-6698	499	13	initial	initial	ADJ
ejpam-6698	499	14	coefficients	coefficient	NOUN
ejpam-6698	499	15	of	of	ADP
ejpam-6698	499	16	functions	function	NOUN
ejpam-6698	499	17	in	in	ADP
ejpam-6698	499	18	this	this	DET
ejpam-6698	499	19	class	class	NOUN
ejpam-6698	499	20	.	.	PUNCT
ejpam-6698	500	1	additionally	additionally	ADV
ejpam-6698	500	2	,	,	PUNCT
ejpam-6698	500	3	we	we	PRON
ejpam-6698	500	4	derived	derive	VERB
ejpam-6698	500	5	fekete	fekete	PROPN
ejpam-6698	500	6	–	–	PUNCT
ejpam-6698	500	7	szegö-type	szegö-type	NUM
ejpam-6698	500	8	inequalities	inequality	NOUN
ejpam-6698	500	9	and	and	CCONJ
ejpam-6698	500	10	estimates	estimate	NOUN
ejpam-6698	500	11	for	for	ADP
ejpam-6698	500	12	the	the	DET
ejpam-6698	500	13	second	second	ADJ
ejpam-6698	500	14	hankel	hankel	NOUN
ejpam-6698	500	15	determinant	determinant	ADJ
ejpam-6698	500	16	,	,	PUNCT
ejpam-6698	500	17	thereby	thereby	ADV
ejpam-6698	500	18	contributing	contribute	VERB
ejpam-6698	500	19	to	to	ADP
ejpam-6698	500	20	the	the	DET
ejpam-6698	500	21	deeper	deep	ADJ
ejpam-6698	500	22	understanding	understanding	NOUN
ejpam-6698	500	23	of	of	ADP
ejpam-6698	500	24	bi	bi	ADJ
ejpam-6698	500	25	-	-	ADJ
ejpam-6698	500	26	univalent	univalent	ADJ
ejpam-6698	500	27	function	function	NOUN
ejpam-6698	500	28	theory	theory	NOUN
ejpam-6698	500	29	and	and	CCONJ
ejpam-6698	500	30	its	its	PRON
ejpam-6698	500	31	interplay	interplay	NOUN
ejpam-6698	500	32	with	with	ADP
ejpam-6698	500	33	special	special	ADJ
ejpam-6698	500	34	function	function	NOUN
ejpam-6698	500	35	spaces	space	NOUN
ejpam-6698	500	36	.	.	PUNCT
ejpam-6698	501	1	these	these	DET
ejpam-6698	501	2	findings	finding	NOUN
ejpam-6698	501	3	not	not	PART
ejpam-6698	501	4	only	only	ADV
ejpam-6698	501	5	enrich	enrich	VERB
ejpam-6698	501	6	the	the	DET
ejpam-6698	501	7	structural	structural	ADJ
ejpam-6698	501	8	theory	theory	NOUN
ejpam-6698	501	9	of	of	ADP
ejpam-6698	501	10	bi	bi	ADJ
ejpam-6698	501	11	-	-	ADJ
ejpam-6698	501	12	univalent	univalent	ADJ
ejpam-6698	501	13	functions	function	NOUN
ejpam-6698	501	14	but	but	CCONJ
ejpam-6698	501	15	also	also	ADV
ejpam-6698	501	16	highlight	highlight	VERB
ejpam-6698	501	17	the	the	DET
ejpam-6698	501	18	influence	influence	NOUN
ejpam-6698	501	19	of	of	ADP
ejpam-6698	501	20	the	the	DET
ejpam-6698	501	21	underlying	underlying	ADJ
ejpam-6698	501	22	q	q	NOUN
ejpam-6698	501	23	-	-	NOUN
ejpam-6698	501	24	calculus	calculus	NOUN
ejpam-6698	501	25	in	in	ADP
ejpam-6698	501	26	shaping	shape	VERB
ejpam-6698	501	27	their	their	PRON
ejpam-6698	501	28	analytic	analytic	ADJ
ejpam-6698	501	29	and	and	CCONJ
ejpam-6698	501	30	geometric	geometric	ADJ
ejpam-6698	501	31	behavior	behavior	NOUN
ejpam-6698	501	32	.	.	PUNCT
ejpam-6698	502	1	future	future	ADJ
ejpam-6698	502	2	investigations	investigation	NOUN
ejpam-6698	502	3	may	may	AUX
ejpam-6698	502	4	focus	focus	VERB
ejpam-6698	502	5	on	on	ADP
ejpam-6698	502	6	extending	extend	VERB
ejpam-6698	502	7	the	the	DET
ejpam-6698	502	8	current	current	ADJ
ejpam-6698	502	9	results	result	NOUN
ejpam-6698	502	10	to	to	ADP
ejpam-6698	502	11	higher	high	ADJ
ejpam-6698	502	12	-	-	PUNCT
ejpam-6698	502	13	order	order	NOUN
ejpam-6698	502	14	coefficients	coefficient	NOUN
ejpam-6698	502	15	,	,	PUNCT
ejpam-6698	502	16	refining	refine	VERB
ejpam-6698	502	17	extremal	extremal	ADJ
ejpam-6698	502	18	characterizations	characterization	NOUN
ejpam-6698	502	19	of	of	ADP
ejpam-6698	502	20	these	these	DET
ejpam-6698	502	21	subclasses	subclass	NOUN
ejpam-6698	502	22	,	,	PUNCT
ejpam-6698	502	23	and	and	CCONJ
ejpam-6698	502	24	studying	study	VERB
ejpam-6698	502	25	their	their	PRON
ejpam-6698	502	26	geometric	geometric	ADJ
ejpam-6698	502	27	features	feature	NOUN
ejpam-6698	502	28	in	in	ADP
ejpam-6698	502	29	more	more	ADJ
ejpam-6698	502	30	depth	depth	NOUN
ejpam-6698	502	31	.	.	PUNCT
ejpam-6698	503	1	further	further	ADJ
ejpam-6698	503	2	directions	direction	NOUN
ejpam-6698	503	3	include	include	VERB
ejpam-6698	503	4	exploring	explore	VERB
ejpam-6698	503	5	sharp	sharp	ADJ
ejpam-6698	503	6	bounds	bound	NOUN
ejpam-6698	503	7	associated	associate	VERB
ejpam-6698	503	8	with	with	ADP
ejpam-6698	503	9	the	the	DET
ejpam-6698	503	10	zalcman	zalcman	PROPN
ejpam-6698	503	11	conjecture	conjecture	NOUN
ejpam-6698	503	12	and	and	CCONJ
ejpam-6698	503	13	analyzing	analyze	VERB
ejpam-6698	503	14	the	the	DET
ejpam-6698	503	15	third	third	ADJ
ejpam-6698	503	16	-	-	PUNCT
ejpam-6698	503	17	order	order	NOUN
ejpam-6698	503	18	hankel	hankel	NOUN
ejpam-6698	503	19	determinant	determinant	ADJ
ejpam-6698	503	20	within	within	ADP
ejpam-6698	503	21	the	the	DET
ejpam-6698	503	22	same	same	ADJ
ejpam-6698	503	23	analytic	analytic	ADJ
ejpam-6698	503	24	framework	framework	NOUN
ejpam-6698	503	25	.	.	PUNCT
ejpam-6698	504	1	a.	a.	PROPN
ejpam-6698	504	2	alsoboh	alsoboh	PROPN
ejpam-6698	504	3	et	et	PROPN
ejpam-6698	504	4	al	al	PROPN
ejpam-6698	504	5	.	.	PUNCT
ejpam-6698	504	6	/	/	SYM
ejpam-6698	504	7	eur	eur	PROPN
ejpam-6698	504	8	.	.	PUNCT
ejpam-6698	505	1	j.	j.	PROPN
ejpam-6698	505	2	pure	pure	PROPN
ejpam-6698	505	3	appl	appl	PROPN
ejpam-6698	505	4	.	.	PROPN
ejpam-6698	505	5	math	math	PROPN
ejpam-6698	505	6	,	,	PUNCT
ejpam-6698	505	7	18	18	NUM
ejpam-6698	505	8	(	(	PUNCT
ejpam-6698	505	9	3	3	NUM
ejpam-6698	505	10	)	)	PUNCT
ejpam-6698	505	11	(	(	PUNCT
ejpam-6698	505	12	2025	2025	NUM
ejpam-6698	505	13	)	)	PUNCT
ejpam-6698	505	14	,	,	PUNCT
ejpam-6698	505	15	6698	6698	NUM
ejpam-6698	505	16	23	23	NUM
ejpam-6698	505	17	of	of	ADP
ejpam-6698	505	18	25	25	NUM
ejpam-6698	505	19	references	reference	NOUN
ejpam-6698	505	20	[	[	X
ejpam-6698	505	21	1	1	NUM
ejpam-6698	505	22	]	]	PUNCT
ejpam-6698	506	1	p.	p.	NOUN
ejpam-6698	506	2	l.	l.	PROPN
ejpam-6698	506	3	duren	duren	PROPN
ejpam-6698	506	4	.	.	PUNCT
ejpam-6698	507	1	univalent	univalent	ADJ
ejpam-6698	507	2	functions	function	NOUN
ejpam-6698	507	3	.	.	PUNCT
ejpam-6698	508	1	grundlehren	grundlehren	PROPN
ejpam-6698	508	2	der	der	PROPN
ejpam-6698	508	3	mathematischen	mathematischen	PROPN
ejpam-6698	508	4	wissenschaften	wissenschaften	PROPN
ejpam-6698	508	5	.	.	PUNCT
ejpam-6698	509	1	springer	springer	NOUN
ejpam-6698	509	2	,	,	PUNCT
ejpam-6698	509	3	new	new	PROPN
ejpam-6698	509	4	york	york	PROPN
ejpam-6698	509	5	,	,	PUNCT
ejpam-6698	509	6	1983	1983	NUM
ejpam-6698	509	7	.	.	PUNCT
ejpam-6698	510	1	[	[	X
ejpam-6698	510	2	2	2	X
ejpam-6698	510	3	]	]	PUNCT
ejpam-6698	510	4	w.	w.	PROPN
ejpam-6698	510	5	ma	ma	PROPN
ejpam-6698	510	6	and	and	CCONJ
ejpam-6698	510	7	d.	d.	PROPN
ejpam-6698	510	8	minda	minda	PROPN
ejpam-6698	510	9	.	.	PUNCT
ejpam-6698	511	1	a	a	DET
ejpam-6698	511	2	unified	unified	ADJ
ejpam-6698	511	3	treatment	treatment	NOUN
ejpam-6698	511	4	of	of	ADP
ejpam-6698	511	5	some	some	DET
ejpam-6698	511	6	special	special	ADJ
ejpam-6698	511	7	classes	class	NOUN
ejpam-6698	511	8	of	of	ADP
ejpam-6698	511	9	univalent	univalent	ADJ
ejpam-6698	511	10	functions	function	NOUN
ejpam-6698	511	11	.	.	PUNCT
ejpam-6698	512	1	in	in	ADP
ejpam-6698	512	2	proc	proc	PROPN
ejpam-6698	512	3	.	.	PUNCT
ejpam-6698	513	1	conf	conf	NOUN
ejpam-6698	513	2	.	.	PUNCT
ejpam-6698	514	1	comp	comp	PROPN
ejpam-6698	514	2	.	.	PUNCT
ejpam-6698	515	1	anal	anal	PROPN
ejpam-6698	515	2	.	.	PUNCT
ejpam-6698	516	1	tianjin	tianjin	PROPN
ejpam-6698	516	2	china	china	PROPN
ejpam-6698	516	3	,	,	PUNCT
ejpam-6698	516	4	pages	page	NOUN
ejpam-6698	516	5	157–169	157–169	NUM
ejpam-6698	516	6	,	,	PUNCT
ejpam-6698	516	7	1992	1992	NUM
ejpam-6698	516	8	.	.	PUNCT
ejpam-6698	517	1	[	[	X
ejpam-6698	517	2	3	3	X
ejpam-6698	517	3	]	]	X
ejpam-6698	517	4	w.	w.	PROPN
ejpam-6698	517	5	janowski	janowski	PROPN
ejpam-6698	517	6	.	.	PUNCT
ejpam-6698	518	1	extremal	extremal	ADJ
ejpam-6698	518	2	problems	problem	NOUN
ejpam-6698	518	3	for	for	ADP
ejpam-6698	518	4	a	a	DET
ejpam-6698	518	5	family	family	NOUN
ejpam-6698	518	6	of	of	ADP
ejpam-6698	518	7	functions	function	NOUN
ejpam-6698	518	8	with	with	ADP
ejpam-6698	518	9	positive	positive	ADJ
ejpam-6698	518	10	real	real	ADJ
ejpam-6698	518	11	part	part	NOUN
ejpam-6698	518	12	and	and	CCONJ
ejpam-6698	518	13	for	for	ADP
ejpam-6698	518	14	some	some	DET
ejpam-6698	518	15	related	relate	VERB
ejpam-6698	518	16	families	family	NOUN
ejpam-6698	518	17	.	.	PUNCT
ejpam-6698	519	1	annales	annale	VERB
ejpam-6698	519	2	polonici	polonici	PROPN
ejpam-6698	519	3	mathematici	mathematici	NOUN
ejpam-6698	519	4	,	,	PUNCT
ejpam-6698	519	5	23:159–177	23:159–177	NUM
ejpam-6698	519	6	,	,	PUNCT
ejpam-6698	519	7	1970	1970	NUM
ejpam-6698	519	8	.	.	PUNCT
ejpam-6698	520	1	[	[	X
ejpam-6698	520	2	4	4	X
ejpam-6698	520	3	]	]	PUNCT
ejpam-6698	520	4	m.	m.	NOUN
ejpam-6698	520	5	s.	s.	PROPN
ejpam-6698	520	6	robertson	robertson	PROPN
ejpam-6698	520	7	.	.	PUNCT
ejpam-6698	521	1	certain	certain	ADJ
ejpam-6698	521	2	classes	class	NOUN
ejpam-6698	521	3	of	of	ADP
ejpam-6698	521	4	starlike	starlike	NOUN
ejpam-6698	521	5	functions	function	NOUN
ejpam-6698	521	6	.	.	PUNCT
ejpam-6698	522	1	michigan	michigan	PROPN
ejpam-6698	522	2	mathematical	mathematical	PROPN
ejpam-6698	522	3	journal	journal	PROPN
ejpam-6698	522	4	,	,	PUNCT
ejpam-6698	522	5	32:135–140	32:135–140	NUM
ejpam-6698	522	6	,	,	PUNCT
ejpam-6698	522	7	1985	1985	NUM
ejpam-6698	522	8	.	.	PUNCT
ejpam-6698	523	1	[	[	X
ejpam-6698	523	2	5	5	X
ejpam-6698	523	3	]	]	PUNCT
ejpam-6698	523	4	j.	j.	PROPN
ejpam-6698	523	5	sokó	sokó	PROPN
ejpam-6698	523	6	l.	l.	PROPN
ejpam-6698	523	7	on	on	ADP
ejpam-6698	523	8	starlike	starlike	NOUN
ejpam-6698	523	9	functions	function	NOUN
ejpam-6698	523	10	connected	connect	VERB
ejpam-6698	523	11	with	with	ADP
ejpam-6698	523	12	fibonacci	fibonacci	NOUN
ejpam-6698	523	13	numbers	number	NOUN
ejpam-6698	523	14	.	.	PUNCT
ejpam-6698	524	1	zeszyty	zeszyty	VERB
ejpam-6698	524	2	naukowe	naukowe	NOUN
ejpam-6698	524	3	politechniki	politechniki	PROPN
ejpam-6698	524	4	rzeszowskiej	rzeszowskiej	PROPN
ejpam-6698	524	5	.	.	PUNCT
ejpam-6698	525	1	matematyka	matematyka	PROPN
ejpam-6698	525	2	,	,	PUNCT
ejpam-6698	525	3	23:111–116	23:111–116	PROPN
ejpam-6698	525	4	,	,	PUNCT
ejpam-6698	525	5	1999	1999	NUM
ejpam-6698	525	6	.	.	PUNCT
ejpam-6698	526	1	[	[	X
ejpam-6698	526	2	6	6	NUM
ejpam-6698	526	3	]	]	PUNCT
ejpam-6698	526	4	j.	j.	PROPN
ejpam-6698	526	5	sokó	sokó	PROPN
ejpam-6698	526	6	l.	l.	PROPN
ejpam-6698	527	1	a	a	DET
ejpam-6698	527	2	certain	certain	ADJ
ejpam-6698	527	3	class	class	NOUN
ejpam-6698	527	4	of	of	ADP
ejpam-6698	527	5	starlike	starlike	NOUN
ejpam-6698	527	6	functions	function	NOUN
ejpam-6698	527	7	.	.	PUNCT
ejpam-6698	528	1	computers	computer	NOUN
ejpam-6698	528	2	&	&	CCONJ
ejpam-6698	528	3	mathematics	mathematics	PROPN
ejpam-6698	528	4	with	with	ADP
ejpam-6698	528	5	applications	application	NOUN
ejpam-6698	528	6	,	,	PUNCT
ejpam-6698	528	7	62(2):611–619	62(2):611–619	NUM
ejpam-6698	528	8	,	,	PUNCT
ejpam-6698	528	9	2011	2011	NUM
ejpam-6698	528	10	.	.	PUNCT
ejpam-6698	529	1	[	[	X
ejpam-6698	529	2	7	7	X
ejpam-6698	529	3	]	]	X
ejpam-6698	529	4	f.	f.	PROPN
ejpam-6698	529	5	h.	h.	PROPN
ejpam-6698	529	6	jackson	jackson	PROPN
ejpam-6698	529	7	.	.	PUNCT
ejpam-6698	530	1	on	on	ADP
ejpam-6698	530	2	q	q	NOUN
ejpam-6698	530	3	-	-	PUNCT
ejpam-6698	530	4	functions	function	NOUN
ejpam-6698	530	5	and	and	CCONJ
ejpam-6698	530	6	a	a	DET
ejpam-6698	530	7	certain	certain	ADJ
ejpam-6698	530	8	difference	difference	NOUN
ejpam-6698	530	9	operator	operator	NOUN
ejpam-6698	530	10	.	.	PUNCT
ejpam-6698	531	1	transactions	transaction	NOUN
ejpam-6698	531	2	of	of	ADP
ejpam-6698	531	3	the	the	DET
ejpam-6698	531	4	royal	royal	ADJ
ejpam-6698	531	5	society	society	NOUN
ejpam-6698	531	6	of	of	ADP
ejpam-6698	531	7	edinburgh	edinburgh	PROPN
ejpam-6698	531	8	,	,	PUNCT
ejpam-6698	531	9	46(2):253–281	46(2):253–281	NUM
ejpam-6698	531	10	,	,	PUNCT
ejpam-6698	531	11	1909	1909	NUM
ejpam-6698	531	12	.	.	PUNCT
ejpam-6698	532	1	[	[	X
ejpam-6698	532	2	8	8	NUM
ejpam-6698	532	3	]	]	X
ejpam-6698	532	4	f.	f.	PROPN
ejpam-6698	532	5	h.	h.	PROPN
ejpam-6698	532	6	jackson	jackson	PROPN
ejpam-6698	532	7	.	.	PUNCT
ejpam-6698	533	1	on	on	ADP
ejpam-6698	533	2	q	q	ADJ
ejpam-6698	533	3	-	-	ADJ
ejpam-6698	533	4	definite	definite	ADJ
ejpam-6698	533	5	integrals	integral	NOUN
ejpam-6698	533	6	.	.	PUNCT
ejpam-6698	534	1	the	the	DET
ejpam-6698	534	2	quarterly	quarterly	ADJ
ejpam-6698	534	3	journal	journal	NOUN
ejpam-6698	534	4	of	of	ADP
ejpam-6698	534	5	pure	pure	ADJ
ejpam-6698	534	6	and	and	CCONJ
ejpam-6698	534	7	applied	applied	ADJ
ejpam-6698	534	8	mathematics	mathematic	NOUN
ejpam-6698	534	9	,	,	PUNCT
ejpam-6698	534	10	41:193–203	41:193–203	NUM
ejpam-6698	534	11	,	,	PUNCT
ejpam-6698	534	12	1910	1910	NUM
ejpam-6698	534	13	.	.	PUNCT
ejpam-6698	535	1	[	[	X
ejpam-6698	535	2	9	9	NUM
ejpam-6698	535	3	]	]	PUNCT
ejpam-6698	535	4	a.	a.	NOUN
ejpam-6698	535	5	aral	aral	PROPN
ejpam-6698	535	6	and	and	CCONJ
ejpam-6698	535	7	v.	v.	ADP
ejpam-6698	535	8	gupta	gupta	PROPN
ejpam-6698	535	9	.	.	PUNCT
ejpam-6698	536	1	generalized	generalize	VERB
ejpam-6698	536	2	q	q	NOUN
ejpam-6698	536	3	-	-	PUNCT
ejpam-6698	536	4	baskakov	baskakov	PROPN
ejpam-6698	536	5	operators	operator	NOUN
ejpam-6698	536	6	.	.	PUNCT
ejpam-6698	537	1	mathematica	mathematica	PROPN
ejpam-6698	537	2	slovaca	slovaca	PROPN
ejpam-6698	537	3	,	,	PUNCT
ejpam-6698	537	4	61(4):619–634	61(4):619–634	PROPN
ejpam-6698	537	5	,	,	PUNCT
ejpam-6698	537	6	2011	2011	NUM
ejpam-6698	537	7	.	.	PUNCT
ejpam-6698	538	1	[	[	X
ejpam-6698	538	2	10	10	NUM
ejpam-6698	538	3	]	]	X
ejpam-6698	538	4	a.	a.	NOUN
ejpam-6698	538	5	alsoboh	alsoboh	NOUN
ejpam-6698	538	6	and	and	CCONJ
ejpam-6698	538	7	g.	g.	PROPN
ejpam-6698	538	8	oros	oros	PROPN
ejpam-6698	538	9	.	.	PUNCT
ejpam-6698	539	1	a	a	DET
ejpam-6698	539	2	class	class	NOUN
ejpam-6698	539	3	of	of	ADP
ejpam-6698	539	4	bi	bi	ADJ
ejpam-6698	539	5	-	-	ADJ
ejpam-6698	539	6	univalent	univalent	ADJ
ejpam-6698	539	7	functions	function	NOUN
ejpam-6698	539	8	in	in	ADP
ejpam-6698	539	9	a	a	DET
ejpam-6698	539	10	leaf	leaf	NOUN
ejpam-6698	539	11	-	-	PUNCT
ejpam-6698	539	12	like	like	ADJ
ejpam-6698	539	13	domain	domain	NOUN
ejpam-6698	539	14	defined	define	VERB
ejpam-6698	539	15	through	through	ADP
ejpam-6698	539	16	subordination	subordination	NOUN
ejpam-6698	539	17	via	via	ADP
ejpam-6698	539	18	q	q	NOUN
ejpam-6698	539	19	-	-	NOUN
ejpam-6698	539	20	calculus	calculus	NOUN
ejpam-6698	539	21	.	.	PUNCT
ejpam-6698	540	1	mathematics	mathematic	NOUN
ejpam-6698	540	2	,	,	PUNCT
ejpam-6698	540	3	2004	2004	NUM
ejpam-6698	540	4	.	.	PUNCT
ejpam-6698	541	1	[	[	X
ejpam-6698	541	2	11	11	NUM
ejpam-6698	541	3	]	]	PUNCT
ejpam-6698	541	4	a.	a.	NOUN
ejpam-6698	541	5	alsoboh	alsoboh	PROPN
ejpam-6698	541	6	,	,	PUNCT
ejpam-6698	541	7	a.	a.	PROPN
ejpam-6698	541	8	amourah	amourah	PROPN
ejpam-6698	541	9	,	,	PUNCT
ejpam-6698	541	10	o.	o.	PROPN
ejpam-6698	541	11	alnajar	alnajar	PROPN
ejpam-6698	541	12	,	,	PUNCT
ejpam-6698	541	13	m.	m.	NOUN
ejpam-6698	541	14	ahmed	ahmed	PROPN
ejpam-6698	541	15	,	,	PUNCT
ejpam-6698	541	16	and	and	CCONJ
ejpam-6698	541	17	t.	t.	PROPN
ejpam-6698	541	18	m.	m.	PROPN
ejpam-6698	541	19	seoudy	seoudy	PROPN
ejpam-6698	541	20	.	.	PUNCT
ejpam-6698	542	1	exploring	explore	VERB
ejpam-6698	542	2	q	q	ADJ
ejpam-6698	542	3	-	-	PUNCT
ejpam-6698	542	4	fibonacci	fibonacci	NOUN
ejpam-6698	542	5	numbers	number	NOUN
ejpam-6698	542	6	in	in	ADP
ejpam-6698	542	7	geometric	geometric	ADJ
ejpam-6698	542	8	function	function	NOUN
ejpam-6698	542	9	theory	theory	NOUN
ejpam-6698	542	10	:	:	PUNCT
ejpam-6698	542	11	univalence	univalence	NOUN
ejpam-6698	542	12	and	and	CCONJ
ejpam-6698	542	13	shell	shell	NOUN
ejpam-6698	542	14	-	-	PUNCT
ejpam-6698	542	15	like	like	ADJ
ejpam-6698	542	16	starlike	starlike	NOUN
ejpam-6698	542	17	curves	curve	NOUN
ejpam-6698	542	18	.	.	PUNCT
ejpam-6698	543	1	mathematics	mathematic	NOUN
ejpam-6698	543	2	,	,	PUNCT
ejpam-6698	543	3	13:1294	13:1294	NUM
ejpam-6698	543	4	,	,	PUNCT
ejpam-6698	543	5	2025	2025	NUM
ejpam-6698	543	6	.	.	PUNCT
ejpam-6698	544	1	[	[	X
ejpam-6698	544	2	12	12	NUM
ejpam-6698	544	3	]	]	PUNCT
ejpam-6698	544	4	t.	t.	PROPN
ejpam-6698	544	5	al	al	PROPN
ejpam-6698	544	6	-	-	PUNCT
ejpam-6698	544	7	hawary	hawary	PROPN
ejpam-6698	544	8	,	,	PUNCT
ejpam-6698	544	9	a.	a.	PROPN
ejpam-6698	544	10	amourah	amourah	PROPN
ejpam-6698	544	11	,	,	PUNCT
ejpam-6698	544	12	a.	a.	PROPN
ejpam-6698	544	13	alsoboh	alsoboh	PROPN
ejpam-6698	544	14	,	,	PUNCT
ejpam-6698	544	15	a.	a.	NOUN
ejpam-6698	544	16	m.	m.	NOUN
ejpam-6698	544	17	freihat	freihat	PROPN
ejpam-6698	544	18	,	,	PUNCT
ejpam-6698	544	19	o.	o.	PROPN
ejpam-6698	544	20	ogilat	ogilat	PROPN
ejpam-6698	544	21	,	,	PUNCT
ejpam-6698	544	22	i.	i.	NOUN
ejpam-6698	544	23	harny	harny	NOUN
ejpam-6698	544	24	,	,	PUNCT
ejpam-6698	544	25	and	and	CCONJ
ejpam-6698	544	26	m.	m.	NOUN
ejpam-6698	544	27	darus	darus	NOUN
ejpam-6698	544	28	.	.	PUNCT
ejpam-6698	545	1	subclasses	subclass	NOUN
ejpam-6698	545	2	of	of	ADP
ejpam-6698	545	3	yamakawa	yamakawa	NOUN
ejpam-6698	545	4	-	-	PUNCT
ejpam-6698	545	5	type	type	NOUN
ejpam-6698	545	6	bi	bi	ADJ
ejpam-6698	545	7	-	-	ADJ
ejpam-6698	545	8	starlike	starlike	ADJ
ejpam-6698	545	9	functions	function	NOUN
ejpam-6698	545	10	subordinate	subordinate	VERB
ejpam-6698	545	11	to	to	ADP
ejpam-6698	545	12	gegenbaur	gegenbaur	NOUN
ejpam-6698	545	13	polynomials	polynomial	NOUN
ejpam-6698	545	14	associated	associate	VERB
ejpam-6698	545	15	with	with	ADP
ejpam-6698	545	16	quantum	quantum	NOUN
ejpam-6698	545	17	calculus	calculus	NOUN
ejpam-6698	545	18	.	.	PUNCT
ejpam-6698	546	1	results	result	NOUN
ejpam-6698	546	2	in	in	ADP
ejpam-6698	546	3	nonlinear	nonlinear	ADJ
ejpam-6698	546	4	analysis	analysis	NOUN
ejpam-6698	546	5	,	,	PUNCT
ejpam-6698	546	6	7(4):75–83	7(4):75–83	NUM
ejpam-6698	546	7	,	,	PUNCT
ejpam-6698	546	8	2024	2024	NUM
ejpam-6698	546	9	.	.	PUNCT
ejpam-6698	547	1	[	[	X
ejpam-6698	547	2	13	13	NUM
ejpam-6698	547	3	]	]	PUNCT
ejpam-6698	547	4	t.	t.	PROPN
ejpam-6698	547	5	al	al	PROPN
ejpam-6698	547	6	-	-	PUNCT
ejpam-6698	547	7	hawary	hawary	PROPN
ejpam-6698	547	8	,	,	PUNCT
ejpam-6698	547	9	a.	a.	PROPN
ejpam-6698	547	10	amourah	amourah	PROPN
ejpam-6698	547	11	,	,	PUNCT
ejpam-6698	547	12	a.	a.	PROPN
ejpam-6698	547	13	alsoboh	alsoboh	PROPN
ejpam-6698	547	14	,	,	PUNCT
ejpam-6698	547	15	o.	o.	NOUN
ejpam-6698	547	16	ogilat	ogilat	NOUN
ejpam-6698	547	17	,	,	PUNCT
ejpam-6698	547	18	i.	i.	NOUN
ejpam-6698	547	19	harny	harny	NOUN
ejpam-6698	547	20	,	,	PUNCT
ejpam-6698	547	21	and	and	CCONJ
ejpam-6698	547	22	m.	m.	NOUN
ejpam-6698	547	23	darus	darus	NOUN
ejpam-6698	547	24	.	.	PUNCT
ejpam-6698	548	1	applications	application	NOUN
ejpam-6698	548	2	of	of	ADP
ejpam-6698	548	3	q	q	ADJ
ejpam-6698	548	4	-	-	ADJ
ejpam-6698	548	5	ultraspherical	ultraspherical	ADJ
ejpam-6698	548	6	polynomials	polynomial	NOUN
ejpam-6698	548	7	to	to	ADP
ejpam-6698	548	8	bi	bi	ADJ
ejpam-6698	548	9	-	-	ADJ
ejpam-6698	548	10	univalent	univalent	ADJ
ejpam-6698	548	11	functions	function	NOUN
ejpam-6698	548	12	defined	define	VERB
ejpam-6698	548	13	by	by	ADP
ejpam-6698	548	14	q	q	NOUN
ejpam-6698	548	15	-	-	PUNCT
ejpam-6698	548	16	saigo	saigo	NOUN
ejpam-6698	548	17	’s	’s	PART
ejpam-6698	548	18	fractional	fractional	ADJ
ejpam-6698	548	19	integral	integral	ADJ
ejpam-6698	548	20	operators	operator	NOUN
ejpam-6698	548	21	.	.	PUNCT
ejpam-6698	549	1	aims	aim	VERB
ejpam-6698	549	2	mathematics	mathematic	NOUN
ejpam-6698	549	3	,	,	PUNCT
ejpam-6698	549	4	9(7):17063–17075	9(7):17063–17075	PROPN
ejpam-6698	549	5	,	,	PUNCT
ejpam-6698	549	6	2024	2024	NUM
ejpam-6698	549	7	.	.	PUNCT
ejpam-6698	550	1	[	[	X
ejpam-6698	550	2	14	14	NUM
ejpam-6698	550	3	]	]	PUNCT
ejpam-6698	550	4	a.	a.	NOUN
ejpam-6698	550	5	alatawi	alatawi	PROPN
ejpam-6698	550	6	and	and	CCONJ
ejpam-6698	550	7	m.	m.	NOUN
ejpam-6698	550	8	darus	darus	NOUN
ejpam-6698	550	9	.	.	PUNCT
ejpam-6698	551	1	the	the	DET
ejpam-6698	551	2	fekete	fekete	PROPN
ejpam-6698	551	3	–	–	PUNCT
ejpam-6698	551	4	szegö	szegö	ADJ
ejpam-6698	551	5	inequality	inequality	NOUN
ejpam-6698	551	6	for	for	ADP
ejpam-6698	551	7	a	a	DET
ejpam-6698	551	8	subfamily	subfamily	NOUN
ejpam-6698	551	9	of	of	ADP
ejpam-6698	551	10	q	q	ADJ
ejpam-6698	551	11	-	-	PUNCT
ejpam-6698	551	12	analogue	analogue	NOUN
ejpam-6698	551	13	analytic	analytic	ADJ
ejpam-6698	551	14	functions	function	NOUN
ejpam-6698	551	15	associated	associate	VERB
ejpam-6698	551	16	with	with	ADP
ejpam-6698	551	17	the	the	DET
ejpam-6698	551	18	modified	modified	ADJ
ejpam-6698	551	19	q	q	ADJ
ejpam-6698	551	20	-	-	PUNCT
ejpam-6698	551	21	opoola	opoola	ADJ
ejpam-6698	551	22	operator	operator	NOUN
ejpam-6698	551	23	.	.	PUNCT
ejpam-6698	552	1	asian	asian	ADJ
ejpam-6698	552	2	-	-	PUNCT
ejpam-6698	552	3	european	european	ADJ
ejpam-6698	552	4	journal	journal	NOUN
ejpam-6698	552	5	of	of	ADP
ejpam-6698	552	6	mathematics	mathematic	NOUN
ejpam-6698	552	7	,	,	PUNCT
ejpam-6698	552	8	17(3):article	17(3):article	NUM
ejpam-6698	552	9	2450027	2450027	NUM
ejpam-6698	552	10	,	,	PUNCT
ejpam-6698	552	11	2024	2024	NUM
ejpam-6698	552	12	.	.	PUNCT
ejpam-6698	553	1	[	[	X
ejpam-6698	553	2	15	15	NUM
ejpam-6698	553	3	]	]	X
ejpam-6698	553	4	a.	a.	NOUN
ejpam-6698	553	5	alatawi	alatawi	PROPN
ejpam-6698	553	6	and	and	CCONJ
ejpam-6698	553	7	m.	m.	NOUN
ejpam-6698	553	8	darus	darus	NOUN
ejpam-6698	553	9	.	.	PUNCT
ejpam-6698	554	1	second	second	ADJ
ejpam-6698	554	2	-	-	PUNCT
ejpam-6698	554	3	order	order	NOUN
ejpam-6698	554	4	hankel	hankel	NOUN
ejpam-6698	554	5	determinant	determinant	ADJ
ejpam-6698	554	6	for	for	ADP
ejpam-6698	554	7	a	a	DET
ejpam-6698	554	8	subclass	subclass	NOUN
ejpam-6698	554	9	of	of	ADP
ejpam-6698	554	10	analytic	analytic	ADJ
ejpam-6698	554	11	functions	function	NOUN
ejpam-6698	554	12	satisfying	satisfy	VERB
ejpam-6698	554	13	subordination	subordination	NOUN
ejpam-6698	554	14	condition	condition	NOUN
ejpam-6698	554	15	connected	connect	VERB
ejpam-6698	554	16	with	with	ADP
ejpam-6698	554	17	modified	modified	ADJ
ejpam-6698	554	18	q	q	ADJ
ejpam-6698	554	19	-	-	PUNCT
ejpam-6698	554	20	opoola	opoola	ADJ
ejpam-6698	554	21	derivative	derivative	ADJ
ejpam-6698	554	22	operator	operator	NOUN
ejpam-6698	554	23	.	.	PUNCT
ejpam-6698	555	1	communications	communication	NOUN
ejpam-6698	555	2	faculty	faculty	NOUN
ejpam-6698	555	3	of	of	ADP
ejpam-6698	555	4	sciences	sciences	PROPN
ejpam-6698	555	5	university	university	PROPN
ejpam-6698	555	6	of	of	ADP
ejpam-6698	555	7	ankara	ankara	PROPN
ejpam-6698	555	8	series	series	PROPN
ejpam-6698	555	9	a1	a1	PROPN
ejpam-6698	555	10	mathematics	mathematic	NOUN
ejpam-6698	555	11	and	and	CCONJ
ejpam-6698	555	12	statistics	statistic	NOUN
ejpam-6698	555	13	,	,	PUNCT
ejpam-6698	555	14	73(3):695–704	73(3):695–704	NOUN
ejpam-6698	555	15	,	,	PUNCT
ejpam-6698	555	16	2024	2024	NUM
ejpam-6698	555	17	.	.	PUNCT
ejpam-6698	556	1	[	[	X
ejpam-6698	556	2	16	16	NUM
ejpam-6698	556	3	]	]	PUNCT
ejpam-6698	556	4	a.	a.	NOUN
ejpam-6698	556	5	alsoboh	alsoboh	PROPN
ejpam-6698	556	6	,	,	PUNCT
ejpam-6698	556	7	a.	a.	PROPN
ejpam-6698	556	8	amourah	amourah	PROPN
ejpam-6698	556	9	,	,	PUNCT
ejpam-6698	556	10	f.	f.	PROPN
ejpam-6698	556	11	m.	m.	PROPN
ejpam-6698	556	12	sakar	sakar	PROPN
ejpam-6698	556	13	,	,	PUNCT
ejpam-6698	556	14	o.	o.	PROPN
ejpam-6698	556	15	ogilat	ogilat	PROPN
ejpam-6698	556	16	,	,	PUNCT
ejpam-6698	556	17	g.	g.	PROPN
ejpam-6698	556	18	m.	m.	PROPN
ejpam-6698	556	19	gharib	gharib	PROPN
ejpam-6698	556	20	,	,	PUNCT
ejpam-6698	556	21	and	and	CCONJ
ejpam-6698	556	22	n.	n.	PROPN
ejpam-6698	556	23	zomot	zomot	PROPN
ejpam-6698	556	24	.	.	PUNCT
ejpam-6698	557	1	coefficient	coefficient	NOUN
ejpam-6698	557	2	estimation	estimation	NOUN
ejpam-6698	557	3	utilizing	utilize	VERB
ejpam-6698	557	4	the	the	DET
ejpam-6698	557	5	faber	faber	NOUN
ejpam-6698	557	6	polynomial	polynomial	NOUN
ejpam-6698	557	7	for	for	ADP
ejpam-6698	557	8	a	a	DET
ejpam-6698	557	9	subfamily	subfamily	NOUN
ejpam-6698	557	10	of	of	ADP
ejpam-6698	557	11	bi	bi	ADJ
ejpam-6698	557	12	-	-	ADJ
ejpam-6698	557	13	univalent	univalent	ADJ
ejpam-6698	557	14	functions	function	NOUN
ejpam-6698	557	15	.	.	PUNCT
ejpam-6698	558	1	axioms	axiom	NOUN
ejpam-6698	558	2	,	,	PUNCT
ejpam-6698	558	3	12(6):512	12(6):512	NOUN
ejpam-6698	558	4	,	,	PUNCT
ejpam-6698	558	5	2023	2023	NUM
ejpam-6698	558	6	.	.	PUNCT
ejpam-6698	559	1	[	[	X
ejpam-6698	559	2	17	17	NUM
ejpam-6698	559	3	]	]	PUNCT
ejpam-6698	559	4	a.	a.	NOUN
ejpam-6698	559	5	alsoboh	alsoboh	PROPN
ejpam-6698	559	6	,	,	PUNCT
ejpam-6698	559	7	m.	m.	NOUN
ejpam-6698	559	8	çağlar	çağlar	PROPN
ejpam-6698	559	9	,	,	PUNCT
ejpam-6698	559	10	and	and	CCONJ
ejpam-6698	559	11	m.	m.	NOUN
ejpam-6698	559	12	buyankara	buyankara	NOUN
ejpam-6698	559	13	.	.	PUNCT
ejpam-6698	560	1	fekete	fekete	NOUN
ejpam-6698	560	2	-	-	PUNCT
ejpam-6698	560	3	szegö	szegö	PROPN
ejpam-6698	560	4	inequality	inequality	NOUN
ejpam-6698	560	5	for	for	ADP
ejpam-6698	560	6	a	a	DET
ejpam-6698	560	7	subclass	subclass	NOUN
ejpam-6698	560	8	of	of	ADP
ejpam-6698	560	9	bi	bi	ADJ
ejpam-6698	560	10	-	-	ADJ
ejpam-6698	560	11	univalent	univalent	ADJ
ejpam-6698	560	12	functions	function	NOUN
ejpam-6698	560	13	linked	link	VERB
ejpam-6698	560	14	to	to	ADP
ejpam-6698	560	15	q	q	ADJ
ejpam-6698	560	16	-	-	ADJ
ejpam-6698	560	17	ultraspherical	ultraspherical	ADJ
ejpam-6698	560	18	polynomials	polynomial	NOUN
ejpam-6698	560	19	.	.	PUNCT
ejpam-6698	561	1	contemporary	contemporary	ADJ
ejpam-6698	561	2	matha	matha	PROPN
ejpam-6698	561	3	.	.	PUNCT
ejpam-6698	562	1	alsoboh	alsoboh	PROPN
ejpam-6698	562	2	et	et	PROPN
ejpam-6698	562	3	al	al	PROPN
ejpam-6698	562	4	.	.	PUNCT
ejpam-6698	562	5	/	/	SYM
ejpam-6698	562	6	eur	eur	PROPN
ejpam-6698	562	7	.	.	PUNCT
ejpam-6698	563	1	j.	j.	PROPN
ejpam-6698	563	2	pure	pure	PROPN
ejpam-6698	563	3	appl	appl	PROPN
ejpam-6698	563	4	.	.	PROPN
ejpam-6698	563	5	math	math	PROPN
ejpam-6698	563	6	,	,	PUNCT
ejpam-6698	563	7	18	18	NUM
ejpam-6698	563	8	(	(	PUNCT
ejpam-6698	563	9	3	3	NUM
ejpam-6698	563	10	)	)	PUNCT
ejpam-6698	563	11	(	(	PUNCT
ejpam-6698	563	12	2025	2025	NUM
ejpam-6698	563	13	)	)	PUNCT
ejpam-6698	563	14	,	,	PUNCT
ejpam-6698	563	15	6698	6698	NUM
ejpam-6698	563	16	24	24	NUM
ejpam-6698	563	17	of	of	ADP
ejpam-6698	563	18	25	25	NUM
ejpam-6698	563	19	ematics	ematic	NOUN
ejpam-6698	563	20	,	,	PUNCT
ejpam-6698	563	21	pages	page	NOUN
ejpam-6698	563	22	2531–2545	2531–2545	NUM
ejpam-6698	563	23	,	,	PUNCT
ejpam-6698	563	24	2024	2024	NUM
ejpam-6698	563	25	.	.	PUNCT
ejpam-6698	564	1	[	[	X
ejpam-6698	564	2	18	18	NUM
ejpam-6698	564	3	]	]	PUNCT
ejpam-6698	564	4	a.	a.	NOUN
ejpam-6698	564	5	amourah	amourah	PROPN
ejpam-6698	564	6	,	,	PUNCT
ejpam-6698	564	7	a.	a.	PROPN
ejpam-6698	564	8	alsoboh	alsoboh	PROPN
ejpam-6698	564	9	,	,	PUNCT
ejpam-6698	564	10	j.	j.	PROPN
ejpam-6698	564	11	salah	salah	PROPN
ejpam-6698	564	12	,	,	PUNCT
ejpam-6698	564	13	and	and	CCONJ
ejpam-6698	564	14	k.	k.	PROPN
ejpam-6698	564	15	al	al	PROPN
ejpam-6698	564	16	kalbani	kalbani	PROPN
ejpam-6698	564	17	.	.	PUNCT
ejpam-6698	565	1	bounds	bound	NOUN
ejpam-6698	565	2	on	on	ADP
ejpam-6698	565	3	initial	initial	ADJ
ejpam-6698	565	4	coefficients	coefficient	NOUN
ejpam-6698	565	5	for	for	ADP
ejpam-6698	565	6	bi	bi	ADJ
ejpam-6698	565	7	-	-	ADJ
ejpam-6698	565	8	univalent	univalent	ADJ
ejpam-6698	565	9	functions	function	NOUN
ejpam-6698	565	10	linked	link	VERB
ejpam-6698	565	11	to	to	ADP
ejpam-6698	565	12	q	q	NOUN
ejpam-6698	565	13	-	-	PUNCT
ejpam-6698	565	14	analog	analog	NOUN
ejpam-6698	565	15	of	of	ADP
ejpam-6698	565	16	le	le	X
ejpam-6698	565	17	roy	roy	PROPN
ejpam-6698	565	18	-	-	PUNCT
ejpam-6698	565	19	type	type	NOUN
ejpam-6698	565	20	mittag	mittag	ADJ
ejpam-6698	565	21	-	-	PUNCT
ejpam-6698	565	22	leffler	leffler	NOUN
ejpam-6698	565	23	function	function	NOUN
ejpam-6698	565	24	.	.	PUNCT
ejpam-6698	566	1	wseas	wseas	NOUN
ejpam-6698	566	2	transactions	transaction	NOUN
ejpam-6698	566	3	on	on	ADP
ejpam-6698	566	4	mathematics	mathematic	NOUN
ejpam-6698	566	5	,	,	PUNCT
ejpam-6698	566	6	23:714–722	23:714–722	NUM
ejpam-6698	566	7	,	,	PUNCT
ejpam-6698	566	8	2024	2024	NUM
ejpam-6698	566	9	.	.	PUNCT
ejpam-6698	567	1	[	[	X
ejpam-6698	567	2	19	19	NUM
ejpam-6698	567	3	]	]	X
ejpam-6698	567	4	s.	s.	PROPN
ejpam-6698	567	5	h.	h.	PROPN
ejpam-6698	567	6	hadi	hadi	PROPN
ejpam-6698	567	7	,	,	PUNCT
ejpam-6698	567	8	m.	m.	NOUN
ejpam-6698	567	9	darus	darus	NOUN
ejpam-6698	567	10	,	,	PUNCT
ejpam-6698	567	11	b.	b.	PROPN
ejpam-6698	567	12	alamri	alamri	PROPN
ejpam-6698	567	13	,	,	PUNCT
ejpam-6698	567	14	ş.	ş.	PROPN
ejpam-6698	567	15	altınkaya	altınkaya	NOUN
ejpam-6698	567	16	,	,	PUNCT
ejpam-6698	567	17	and	and	CCONJ
ejpam-6698	567	18	a.	a.	PROPN
ejpam-6698	567	19	alatawi	alatawi	PROPN
ejpam-6698	567	20	.	.	PUNCT
ejpam-6698	568	1	on	on	ADP
ejpam-6698	568	2	classes	class	NOUN
ejpam-6698	568	3	of	of	ADP
ejpam-6698	568	4	ζuniformly	ζuniformly	ADJ
ejpam-6698	568	5	q	q	NOUN
ejpam-6698	568	6	-	-	NOUN
ejpam-6698	568	7	analogue	analogue	NOUN
ejpam-6698	568	8	of	of	ADP
ejpam-6698	568	9	analytic	analytic	ADJ
ejpam-6698	568	10	functions	function	NOUN
ejpam-6698	568	11	with	with	ADP
ejpam-6698	568	12	some	some	DET
ejpam-6698	568	13	subordination	subordination	NOUN
ejpam-6698	568	14	results	result	NOUN
ejpam-6698	568	15	.	.	PUNCT
ejpam-6698	569	1	applied	apply	VERB
ejpam-6698	569	2	mathematics	mathematic	NOUN
ejpam-6698	569	3	in	in	ADP
ejpam-6698	569	4	science	science	NOUN
ejpam-6698	569	5	and	and	CCONJ
ejpam-6698	569	6	engineering	engineering	NOUN
ejpam-6698	569	7	,	,	PUNCT
ejpam-6698	569	8	32(1):article	32(1):article	PROPN
ejpam-6698	569	9	2312803	2312803	NUM
ejpam-6698	569	10	,	,	PUNCT
ejpam-6698	569	11	2024	2024	NUM
ejpam-6698	569	12	.	.	PUNCT
ejpam-6698	570	1	[	[	X
ejpam-6698	570	2	20	20	NUM
ejpam-6698	570	3	]	]	PUNCT
ejpam-6698	570	4	s.	s.	PROPN
ejpam-6698	570	5	h.	h.	PROPN
ejpam-6698	570	6	hadi	hadi	PROPN
ejpam-6698	570	7	,	,	PUNCT
ejpam-6698	570	8	t.	t.	PROPN
ejpam-6698	570	9	g.	g.	PROPN
ejpam-6698	570	10	shaba	shaba	PROPN
ejpam-6698	570	11	,	,	PUNCT
ejpam-6698	570	12	z.	z.	PROPN
ejpam-6698	570	13	s.	s.	PROPN
ejpam-6698	570	14	madhi	madhi	PROPN
ejpam-6698	570	15	,	,	PUNCT
ejpam-6698	570	16	m.	m.	NOUN
ejpam-6698	570	17	darus	darus	NOUN
ejpam-6698	570	18	,	,	PUNCT
ejpam-6698	570	19	a.	a.	NOUN
ejpam-6698	570	20	a.	a.	NOUN
ejpam-6698	570	21	lupaş	lupaş	PROPN
ejpam-6698	570	22	,	,	PUNCT
ejpam-6698	570	23	and	and	CCONJ
ejpam-6698	570	24	f.	f.	PROPN
ejpam-6698	570	25	tchier	tchier	PROPN
ejpam-6698	570	26	.	.	PUNCT
ejpam-6698	571	1	boundary	boundary	ADJ
ejpam-6698	571	2	values	value	NOUN
ejpam-6698	571	3	of	of	ADP
ejpam-6698	571	4	hankel	hankel	NOUN
ejpam-6698	571	5	and	and	CCONJ
ejpam-6698	571	6	toeplitz	toeplitz	NOUN
ejpam-6698	571	7	determinants	determinant	NOUN
ejpam-6698	571	8	for	for	ADP
ejpam-6698	571	9	q	q	ADJ
ejpam-6698	571	10	-	-	PUNCT
ejpam-6698	571	11	convex	convex	NOUN
ejpam-6698	571	12	functions	function	NOUN
ejpam-6698	571	13	.	.	PUNCT
ejpam-6698	572	1	methodsx	methodsx	PROPN
ejpam-6698	572	2	,	,	PUNCT
ejpam-6698	572	3	13	13	NUM
ejpam-6698	572	4	:	:	PUNCT
ejpam-6698	572	5	article	article	NOUN
ejpam-6698	572	6	102842	102842	NUM
ejpam-6698	572	7	,	,	PUNCT
ejpam-6698	572	8	2024	2024	NUM
ejpam-6698	572	9	.	.	PUNCT
ejpam-6698	573	1	[	[	X
ejpam-6698	573	2	21	21	NUM
ejpam-6698	573	3	]	]	X
ejpam-6698	573	4	b.	b.	PROPN
ejpam-6698	573	5	khan	khan	PROPN
ejpam-6698	573	6	,	,	PUNCT
ejpam-6698	573	7	h.	h.	PROPN
ejpam-6698	573	8	m.	m.	PROPN
ejpam-6698	573	9	srivastava	srivastava	PROPN
ejpam-6698	573	10	,	,	PUNCT
ejpam-6698	573	11	n.	n.	PROPN
ejpam-6698	573	12	khan	khan	PROPN
ejpam-6698	573	13	,	,	PUNCT
ejpam-6698	573	14	m.	m.	NOUN
ejpam-6698	573	15	darus	darus	NOUN
ejpam-6698	573	16	,	,	PUNCT
ejpam-6698	573	17	m.	m.	NOUN
ejpam-6698	573	18	tahir	tahir	PROPN
ejpam-6698	573	19	,	,	PUNCT
ejpam-6698	573	20	and	and	CCONJ
ejpam-6698	573	21	q.	q.	PROPN
ejpam-6698	573	22	z.	z.	PROPN
ejpam-6698	573	23	ahmad	ahmad	PROPN
ejpam-6698	573	24	.	.	PUNCT
ejpam-6698	574	1	coefficient	coefficient	NOUN
ejpam-6698	574	2	estimates	estimate	NOUN
ejpam-6698	574	3	for	for	ADP
ejpam-6698	574	4	a	a	DET
ejpam-6698	574	5	subclass	subclass	NOUN
ejpam-6698	574	6	of	of	ADP
ejpam-6698	574	7	analytic	analytic	ADJ
ejpam-6698	574	8	functions	function	NOUN
ejpam-6698	574	9	associated	associate	VERB
ejpam-6698	574	10	with	with	ADP
ejpam-6698	574	11	a	a	DET
ejpam-6698	574	12	certain	certain	ADJ
ejpam-6698	574	13	leaf	leaf	NOUN
ejpam-6698	574	14	-	-	PUNCT
ejpam-6698	574	15	like	like	ADJ
ejpam-6698	574	16	domain	domain	NOUN
ejpam-6698	574	17	.	.	PUNCT
ejpam-6698	575	1	mathematics	mathematic	NOUN
ejpam-6698	575	2	,	,	PUNCT
ejpam-6698	575	3	8:1334	8:1334	NUM
ejpam-6698	575	4	,	,	PUNCT
ejpam-6698	575	5	2020	2020	NUM
ejpam-6698	575	6	.	.	PUNCT
ejpam-6698	576	1	[	[	X
ejpam-6698	576	2	22	22	NUM
ejpam-6698	576	3	]	]	PUNCT
ejpam-6698	576	4	s.	s.	PROPN
ejpam-6698	576	5	mahmood	mahmood	PROPN
ejpam-6698	576	6	,	,	PUNCT
ejpam-6698	576	7	q.	q.	PROPN
ejpam-6698	576	8	z.	z.	PROPN
ejpam-6698	576	9	ahmad	ahmad	PROPN
ejpam-6698	576	10	,	,	PUNCT
ejpam-6698	576	11	h.	h.	PROPN
ejpam-6698	576	12	m.	m.	PROPN
ejpam-6698	576	13	srivastava	srivastava	PROPN
ejpam-6698	576	14	,	,	PUNCT
ejpam-6698	576	15	n.	n.	PROPN
ejpam-6698	576	16	khan	khan	PROPN
ejpam-6698	576	17	,	,	PUNCT
ejpam-6698	576	18	b.	b.	PROPN
ejpam-6698	576	19	khan	khan	PROPN
ejpam-6698	576	20	,	,	PUNCT
ejpam-6698	576	21	and	and	CCONJ
ejpam-6698	576	22	m.	m.	PROPN
ejpam-6698	576	23	tahir	tahir	PROPN
ejpam-6698	576	24	.	.	PUNCT
ejpam-6698	577	1	a	a	DET
ejpam-6698	577	2	certain	certain	ADJ
ejpam-6698	577	3	subclass	subclass	NOUN
ejpam-6698	577	4	of	of	ADP
ejpam-6698	577	5	meromorphically	meromorphically	ADV
ejpam-6698	577	6	q	q	ADJ
ejpam-6698	577	7	-	-	PUNCT
ejpam-6698	577	8	starlike	starlike	NOUN
ejpam-6698	577	9	functions	function	NOUN
ejpam-6698	577	10	associated	associate	VERB
ejpam-6698	577	11	with	with	ADP
ejpam-6698	577	12	the	the	DET
ejpam-6698	577	13	janowski	janowski	PROPN
ejpam-6698	577	14	functions	function	NOUN
ejpam-6698	577	15	.	.	PUNCT
ejpam-6698	578	1	journal	journal	PROPN
ejpam-6698	578	2	of	of	ADP
ejpam-6698	578	3	inequalities	inequality	NOUN
ejpam-6698	578	4	and	and	CCONJ
ejpam-6698	578	5	applications	application	NOUN
ejpam-6698	578	6	,	,	PUNCT
ejpam-6698	578	7	2019:88	2019:88	NUM
ejpam-6698	578	8	,	,	PUNCT
ejpam-6698	578	9	2019	2019	NUM
ejpam-6698	578	10	.	.	PUNCT
ejpam-6698	579	1	[	[	X
ejpam-6698	579	2	23	23	NUM
ejpam-6698	579	3	]	]	PUNCT
ejpam-6698	579	4	s.	s.	PROPN
ejpam-6698	579	5	mahmood	mahmood	PROPN
ejpam-6698	579	6	,	,	PUNCT
ejpam-6698	579	7	h.	h.	PROPN
ejpam-6698	579	8	m.	m.	PROPN
ejpam-6698	579	9	srivastava	srivastava	PROPN
ejpam-6698	579	10	,	,	PUNCT
ejpam-6698	579	11	n.	n.	PROPN
ejpam-6698	579	12	khan	khan	PROPN
ejpam-6698	579	13	,	,	PUNCT
ejpam-6698	579	14	q.	q.	PROPN
ejpam-6698	579	15	z.	z.	PROPN
ejpam-6698	579	16	ahmad	ahmad	PROPN
ejpam-6698	579	17	,	,	PUNCT
ejpam-6698	579	18	b.	b.	PROPN
ejpam-6698	579	19	khan	khan	PROPN
ejpam-6698	579	20	,	,	PUNCT
ejpam-6698	579	21	and	and	CCONJ
ejpam-6698	579	22	i.	i.	PROPN
ejpam-6698	579	23	ali	ali	PROPN
ejpam-6698	579	24	.	.	PUNCT
ejpam-6698	580	1	upper	upper	ADJ
ejpam-6698	580	2	bound	bind	VERB
ejpam-6698	580	3	of	of	ADP
ejpam-6698	580	4	the	the	DET
ejpam-6698	580	5	third	third	ADJ
ejpam-6698	580	6	hankel	hankel	NOUN
ejpam-6698	580	7	determinant	determinant	ADJ
ejpam-6698	580	8	for	for	ADP
ejpam-6698	580	9	a	a	DET
ejpam-6698	580	10	subclass	subclass	NOUN
ejpam-6698	580	11	of	of	ADP
ejpam-6698	580	12	q	q	ADJ
ejpam-6698	580	13	-	-	PUNCT
ejpam-6698	580	14	starlike	starlike	NOUN
ejpam-6698	580	15	functions	function	NOUN
ejpam-6698	580	16	.	.	PUNCT
ejpam-6698	581	1	symmetry	symmetry	NOUN
ejpam-6698	581	2	,	,	PUNCT
ejpam-6698	581	3	11:347	11:347	NUM
ejpam-6698	581	4	,	,	PUNCT
ejpam-6698	581	5	2019	2019	NUM
ejpam-6698	581	6	.	.	PUNCT
ejpam-6698	582	1	[	[	X
ejpam-6698	582	2	24	24	NUM
ejpam-6698	582	3	]	]	PUNCT
ejpam-6698	582	4	m.	m.	NOUN
ejpam-6698	582	5	shafiq	shafiq	PROPN
ejpam-6698	582	6	,	,	PUNCT
ejpam-6698	582	7	h.	h.	PROPN
ejpam-6698	582	8	m.	m.	PROPN
ejpam-6698	582	9	srivastava	srivastava	PROPN
ejpam-6698	582	10	,	,	PUNCT
ejpam-6698	582	11	n.	n.	PROPN
ejpam-6698	582	12	khan	khan	PROPN
ejpam-6698	582	13	,	,	PUNCT
ejpam-6698	582	14	q.	q.	PROPN
ejpam-6698	582	15	z.	z.	PROPN
ejpam-6698	582	16	ahmad	ahmad	PROPN
ejpam-6698	582	17	,	,	PUNCT
ejpam-6698	582	18	m.	m.	NOUN
ejpam-6698	582	19	darus	darus	NOUN
ejpam-6698	582	20	,	,	PUNCT
ejpam-6698	582	21	and	and	CCONJ
ejpam-6698	582	22	s.	s.	PROPN
ejpam-6698	582	23	kiran	kiran	PROPN
ejpam-6698	582	24	.	.	PUNCT
ejpam-6698	583	1	an	an	DET
ejpam-6698	583	2	upper	upper	ADJ
ejpam-6698	583	3	bound	bound	NOUN
ejpam-6698	583	4	of	of	ADP
ejpam-6698	583	5	the	the	DET
ejpam-6698	583	6	third	third	ADJ
ejpam-6698	583	7	hankel	hankel	NOUN
ejpam-6698	583	8	determinant	determinant	ADJ
ejpam-6698	583	9	for	for	ADP
ejpam-6698	583	10	a	a	DET
ejpam-6698	583	11	subclass	subclass	NOUN
ejpam-6698	583	12	of	of	ADP
ejpam-6698	583	13	q	q	ADJ
ejpam-6698	583	14	-	-	PUNCT
ejpam-6698	583	15	starlike	starlike	NOUN
ejpam-6698	583	16	functions	function	NOUN
ejpam-6698	583	17	associated	associate	VERB
ejpam-6698	583	18	with	with	ADP
ejpam-6698	583	19	k	k	ADJ
ejpam-6698	583	20	-	-	PUNCT
ejpam-6698	583	21	fibonacci	fibonacci	NOUN
ejpam-6698	583	22	numbers	number	NOUN
ejpam-6698	583	23	.	.	PUNCT
ejpam-6698	584	1	symmetry	symmetry	NOUN
ejpam-6698	584	2	,	,	PUNCT
ejpam-6698	584	3	12:1043	12:1043	NUM
ejpam-6698	584	4	,	,	PUNCT
ejpam-6698	584	5	2020	2020	NUM
ejpam-6698	584	6	.	.	PUNCT
ejpam-6698	585	1	[	[	X
ejpam-6698	585	2	25	25	NUM
ejpam-6698	585	3	]	]	PUNCT
ejpam-6698	585	4	q.	q.	PROPN
ejpam-6698	585	5	a.	a.	PROPN
ejpam-6698	585	6	shakir	shakir	PROPN
ejpam-6698	585	7	,	,	PUNCT
ejpam-6698	585	8	a.	a.	PROPN
ejpam-6698	585	9	s.	s.	PROPN
ejpam-6698	585	10	tayyah	tayyah	PROPN
ejpam-6698	585	11	,	,	PUNCT
ejpam-6698	585	12	d.	d.	PROPN
ejpam-6698	585	13	breaz	breaz	PROPN
ejpam-6698	585	14	,	,	PUNCT
ejpam-6698	585	15	l.	l.	PROPN
ejpam-6698	585	16	i.	i.	PROPN
ejpam-6698	585	17	cot̂ırlă	cot̂ırlă	PROPN
ejpam-6698	585	18	,	,	PUNCT
ejpam-6698	585	19	e.	e.	PROPN
ejpam-6698	585	20	rapeanu	rapeanu	PROPN
ejpam-6698	585	21	,	,	PUNCT
ejpam-6698	585	22	and	and	CCONJ
ejpam-6698	585	23	f.	f.	PROPN
ejpam-6698	585	24	m.	m.	PROPN
ejpam-6698	585	25	sakar	sakar	PROPN
ejpam-6698	585	26	.	.	PUNCT
ejpam-6698	586	1	upper	upper	ADJ
ejpam-6698	586	2	bounds	bound	NOUN
ejpam-6698	586	3	of	of	ADP
ejpam-6698	586	4	the	the	DET
ejpam-6698	586	5	third	third	ADJ
ejpam-6698	586	6	hankel	hankel	NOUN
ejpam-6698	586	7	determinant	determinant	ADJ
ejpam-6698	586	8	for	for	ADP
ejpam-6698	586	9	bi	bi	ADJ
ejpam-6698	586	10	-	-	ADJ
ejpam-6698	586	11	univalent	univalent	ADJ
ejpam-6698	586	12	functions	function	NOUN
ejpam-6698	586	13	in	in	ADP
ejpam-6698	586	14	crescentshaped	crescentshape	VERB
ejpam-6698	586	15	domains	domain	NOUN
ejpam-6698	586	16	.	.	PUNCT
ejpam-6698	586	17	symmetry	symmetry	NOUN
ejpam-6698	586	18	,	,	PUNCT
ejpam-6698	586	19	16(10):1281	16(10):1281	NUM
ejpam-6698	586	20	,	,	PUNCT
ejpam-6698	586	21	2024	2024	NUM
ejpam-6698	586	22	.	.	PUNCT
ejpam-6698	587	1	[	[	X
ejpam-6698	587	2	26	26	NUM
ejpam-6698	587	3	]	]	X
ejpam-6698	587	4	h.	h.	PROPN
ejpam-6698	587	5	m.	m.	PROPN
ejpam-6698	587	6	srivastava	srivastava	PROPN
ejpam-6698	587	7	,	,	PUNCT
ejpam-6698	587	8	m.	m.	PROPN
ejpam-6698	587	9	k.	k.	PROPN
ejpam-6698	587	10	aouf	aouf	PROPN
ejpam-6698	587	11	,	,	PUNCT
ejpam-6698	587	12	and	and	CCONJ
ejpam-6698	587	13	a.	a.	PROPN
ejpam-6698	587	14	o.	o.	PROPN
ejpam-6698	587	15	mostafa	mostafa	PROPN
ejpam-6698	587	16	.	.	PUNCT
ejpam-6698	588	1	some	some	DET
ejpam-6698	588	2	properties	property	NOUN
ejpam-6698	588	3	of	of	ADP
ejpam-6698	588	4	analytic	analytic	ADJ
ejpam-6698	588	5	functions	function	NOUN
ejpam-6698	588	6	associated	associate	VERB
ejpam-6698	588	7	with	with	ADP
ejpam-6698	588	8	fractional	fractional	ADJ
ejpam-6698	588	9	q	q	ADJ
ejpam-6698	588	10	-	-	PUNCT
ejpam-6698	588	11	calculus	calculus	NOUN
ejpam-6698	588	12	operators	operator	NOUN
ejpam-6698	588	13	.	.	PUNCT
ejpam-6698	589	1	miskolc	miskolc	ADJ
ejpam-6698	589	2	mathematical	mathematical	ADJ
ejpam-6698	589	3	notes	note	NOUN
ejpam-6698	589	4	,	,	PUNCT
ejpam-6698	589	5	20:1245–1260	20:1245–1260	NUM
ejpam-6698	589	6	,	,	PUNCT
ejpam-6698	589	7	2019	2019	NUM
ejpam-6698	589	8	.	.	PUNCT
ejpam-6698	590	1	[	[	X
ejpam-6698	590	2	27	27	NUM
ejpam-6698	590	3	]	]	X
ejpam-6698	590	4	h.	h.	PROPN
ejpam-6698	590	5	m.	m.	PROPN
ejpam-6698	590	6	srivastava	srivastava	PROPN
ejpam-6698	590	7	and	and	CCONJ
ejpam-6698	590	8	s.	s.	PROPN
ejpam-6698	590	9	m.	m.	PROPN
ejpam-6698	590	10	el	el	PROPN
ejpam-6698	590	11	-	-	PROPN
ejpam-6698	590	12	deeb	deeb	PROPN
ejpam-6698	590	13	.	.	PUNCT
ejpam-6698	591	1	a	a	DET
ejpam-6698	591	2	certain	certain	ADJ
ejpam-6698	591	3	class	class	NOUN
ejpam-6698	591	4	of	of	ADP
ejpam-6698	591	5	analytic	analytic	ADJ
ejpam-6698	591	6	functions	function	NOUN
ejpam-6698	591	7	of	of	ADP
ejpam-6698	591	8	complex	complex	ADJ
ejpam-6698	591	9	order	order	NOUN
ejpam-6698	591	10	connected	connect	VERB
ejpam-6698	591	11	with	with	ADP
ejpam-6698	591	12	a	a	DET
ejpam-6698	591	13	q	q	NOUN
ejpam-6698	591	14	-	-	PUNCT
ejpam-6698	591	15	analogue	analogue	NOUN
ejpam-6698	591	16	of	of	ADP
ejpam-6698	591	17	integral	integral	ADJ
ejpam-6698	591	18	operators	operator	NOUN
ejpam-6698	591	19	.	.	PUNCT
ejpam-6698	592	1	miskolc	miskolc	ADJ
ejpam-6698	592	2	mathematical	mathematical	ADJ
ejpam-6698	592	3	notes	note	NOUN
ejpam-6698	592	4	,	,	PUNCT
ejpam-6698	592	5	21:417–433	21:417–433	NUM
ejpam-6698	592	6	,	,	PUNCT
ejpam-6698	592	7	2020	2020	NUM
ejpam-6698	592	8	.	.	PUNCT
ejpam-6698	593	1	[	[	X
ejpam-6698	593	2	28	28	NUM
ejpam-6698	593	3	]	]	X
ejpam-6698	593	4	a.	a.	PROPN
ejpam-6698	593	5	s.	s.	PROPN
ejpam-6698	593	6	tayyah	tayyah	PROPN
ejpam-6698	593	7	and	and	CCONJ
ejpam-6698	593	8	w.	w.	PROPN
ejpam-6698	593	9	g.	g.	PROPN
ejpam-6698	593	10	atshan	atshan	PROPN
ejpam-6698	593	11	.	.	PUNCT
ejpam-6698	594	1	a	a	DET
ejpam-6698	594	2	class	class	NOUN
ejpam-6698	594	3	of	of	ADP
ejpam-6698	594	4	bi	bi	NOUN
ejpam-6698	594	5	-	-	NOUN
ejpam-6698	594	6	bazilevič	bazilevič	NOUN
ejpam-6698	594	7	and	and	CCONJ
ejpam-6698	594	8	bi	bi	ADJ
ejpam-6698	594	9	-	-	ADJ
ejpam-6698	594	10	pseudo	pseudo	ADJ
ejpam-6698	594	11	-	-	ADJ
ejpam-6698	594	12	starlike	starlike	ADJ
ejpam-6698	594	13	functions	function	NOUN
ejpam-6698	594	14	involving	involve	VERB
ejpam-6698	594	15	the	the	DET
ejpam-6698	594	16	tremblay	tremblay	ADJ
ejpam-6698	594	17	fractional	fractional	ADJ
ejpam-6698	594	18	derivative	derivative	ADJ
ejpam-6698	594	19	operator	operator	NOUN
ejpam-6698	594	20	.	.	PUNCT
ejpam-6698	595	1	problems	problem	NOUN
ejpam-6698	595	2	of	of	ADP
ejpam-6698	595	3	analysis	analysis	NOUN
ejpam-6698	595	4	,	,	PUNCT
ejpam-6698	595	5	14(2):145–161	14(2):145–161	PROPN
ejpam-6698	595	6	,	,	PUNCT
ejpam-6698	595	7	2025	2025	NUM
ejpam-6698	595	8	.	.	PUNCT
ejpam-6698	596	1	[	[	X
ejpam-6698	596	2	29	29	NUM
ejpam-6698	596	3	]	]	PUNCT
ejpam-6698	596	4	a.	a.	PROPN
ejpam-6698	596	5	s.	s.	PROPN
ejpam-6698	596	6	tayyah	tayyah	PROPN
ejpam-6698	596	7	and	and	CCONJ
ejpam-6698	596	8	w.	w.	PROPN
ejpam-6698	596	9	g.	g.	PROPN
ejpam-6698	596	10	atshan	atshan	PROPN
ejpam-6698	596	11	.	.	PUNCT
ejpam-6698	597	1	starlikeness	starlikeness	PROPN
ejpam-6698	597	2	and	and	CCONJ
ejpam-6698	597	3	bi	bi	ADJ
ejpam-6698	597	4	-	-	ADJ
ejpam-6698	597	5	starlikeness	starlikeness	ADJ
ejpam-6698	597	6	associated	associate	VERB
ejpam-6698	597	7	with	with	ADP
ejpam-6698	597	8	a	a	DET
ejpam-6698	597	9	new	new	ADJ
ejpam-6698	597	10	carathéodory	carathéodory	NOUN
ejpam-6698	597	11	function	function	NOUN
ejpam-6698	597	12	.	.	PUNCT
ejpam-6698	598	1	journal	journal	PROPN
ejpam-6698	598	2	of	of	ADP
ejpam-6698	598	3	mathematical	mathematical	ADJ
ejpam-6698	598	4	sciences	science	NOUN
ejpam-6698	598	5	,	,	PUNCT
ejpam-6698	598	6	pages	page	NOUN
ejpam-6698	598	7	1–25	1–25	PROPN
ejpam-6698	598	8	,	,	PUNCT
ejpam-6698	598	9	2025	2025	NUM
ejpam-6698	598	10	.	.	PUNCT
ejpam-6698	599	1	[	[	X
ejpam-6698	599	2	30	30	NUM
ejpam-6698	599	3	]	]	PUNCT
ejpam-6698	599	4	a.	a.	PROPN
ejpam-6698	599	5	s.	s.	PROPN
ejpam-6698	599	6	tayyah	tayyah	PROPN
ejpam-6698	599	7	,	,	PUNCT
ejpam-6698	599	8	w.	w.	PROPN
ejpam-6698	599	9	g.	g.	PROPN
ejpam-6698	599	10	atshan	atshan	PROPN
ejpam-6698	599	11	,	,	PUNCT
ejpam-6698	599	12	and	and	CCONJ
ejpam-6698	599	13	g.	g.	PROPN
ejpam-6698	599	14	i.	i.	PROPN
ejpam-6698	599	15	oros	oros	PROPN
ejpam-6698	599	16	.	.	PUNCT
ejpam-6698	600	1	third	third	ADJ
ejpam-6698	600	2	-	-	PUNCT
ejpam-6698	600	3	order	order	NOUN
ejpam-6698	600	4	differential	differential	ADJ
ejpam-6698	600	5	subordination	subordination	NOUN
ejpam-6698	600	6	results	result	NOUN
ejpam-6698	600	7	for	for	ADP
ejpam-6698	600	8	meromorphic	meromorphic	ADJ
ejpam-6698	600	9	functions	function	NOUN
ejpam-6698	600	10	associated	associate	VERB
ejpam-6698	600	11	with	with	ADP
ejpam-6698	600	12	the	the	DET
ejpam-6698	600	13	inverse	inverse	NOUN
ejpam-6698	600	14	of	of	ADP
ejpam-6698	600	15	the	the	DET
ejpam-6698	600	16	legendre	legendre	PROPN
ejpam-6698	600	17	chi	chi	PROPN
ejpam-6698	600	18	function	function	PROPN
ejpam-6698	600	19	via	via	ADP
ejpam-6698	600	20	the	the	DET
ejpam-6698	600	21	mittag	mittag	ADJ
ejpam-6698	600	22	-	-	PUNCT
ejpam-6698	600	23	leffler	leffler	NOUN
ejpam-6698	600	24	identity	identity	NOUN
ejpam-6698	600	25	.	.	PUNCT
ejpam-6698	601	1	mathematics	mathematic	NOUN
ejpam-6698	601	2	,	,	PUNCT
ejpam-6698	601	3	13(13):2089	13(13):2089	NUM
ejpam-6698	601	4	,	,	PUNCT
ejpam-6698	601	5	2025	2025	NUM
ejpam-6698	601	6	.	.	PUNCT
ejpam-6698	602	1	[	[	X
ejpam-6698	602	2	31	31	NUM
ejpam-6698	602	3	]	]	PUNCT
ejpam-6698	602	4	s.	s.	PROPN
ejpam-6698	602	5	pulala	pulala	PROPN
ejpam-6698	602	6	,	,	PUNCT
ejpam-6698	602	7	r.	r.	PROPN
ejpam-6698	602	8	b.	b.	PROPN
ejpam-6698	602	9	sharma	sharma	PROPN
ejpam-6698	602	10	,	,	PUNCT
ejpam-6698	602	11	and	and	CCONJ
ejpam-6698	602	12	m.	m.	PROPN
ejpam-6698	602	13	haripriya	haripriya	PROPN
ejpam-6698	602	14	.	.	PUNCT
ejpam-6698	603	1	second	second	ADJ
ejpam-6698	603	2	hankel	hankel	NOUN
ejpam-6698	603	3	determinant	determinant	ADJ
ejpam-6698	603	4	for	for	ADP
ejpam-6698	603	5	bazilevic	bazilevic	ADJ
ejpam-6698	603	6	functions	function	NOUN
ejpam-6698	603	7	subordinate	subordinate	VERB
ejpam-6698	603	8	to	to	ADP
ejpam-6698	603	9	k	k	ADJ
ejpam-6698	603	10	-	-	PUNCT
ejpam-6698	603	11	fibonacci	fibonacci	NOUN
ejpam-6698	603	12	sequence	sequence	NOUN
ejpam-6698	603	13	.	.	PUNCT
ejpam-6698	604	1	in	in	ADP
ejpam-6698	604	2	aip	aip	PROPN
ejpam-6698	604	3	conference	conference	NOUN
ejpam-6698	604	4	proceedings	proceeding	NOUN
ejpam-6698	604	5	,	,	PUNCT
ejpam-6698	604	6	volume	volume	NOUN
ejpam-6698	604	7	2095	2095	NUM
ejpam-6698	604	8	,	,	PUNCT
ejpam-6698	604	9	page	page	NOUN
ejpam-6698	604	10	030027	030027	NUM
ejpam-6698	604	11	,	,	PUNCT
ejpam-6698	604	12	2019	2019	NUM
ejpam-6698	604	13	.	.	PUNCT
ejpam-6698	605	1	[	[	X
ejpam-6698	605	2	32	32	NUM
ejpam-6698	605	3	]	]	PUNCT
ejpam-6698	605	4	a.	a.	NOUN
ejpam-6698	605	5	amourah	amourah	PROPN
ejpam-6698	605	6	,	,	PUNCT
ejpam-6698	605	7	i.	i.	PROPN
ejpam-6698	605	8	aldawish	aldawish	PROPN
ejpam-6698	605	9	,	,	PUNCT
ejpam-6698	605	10	b.	b.	PROPN
ejpam-6698	605	11	a.	a.	PROPN
ejpam-6698	605	12	frasin	frasin	PROPN
ejpam-6698	605	13	,	,	PUNCT
ejpam-6698	605	14	and	and	CCONJ
ejpam-6698	605	15	t.	t.	PROPN
ejpam-6698	605	16	al	al	PROPN
ejpam-6698	605	17	-	-	PUNCT
ejpam-6698	605	18	hawary	hawary	PROPN
ejpam-6698	605	19	.	.	PUNCT
ejpam-6698	606	1	applications	application	NOUN
ejpam-6698	606	2	of	of	ADP
ejpam-6698	606	3	shell	shell	NOUN
ejpam-6698	606	4	-	-	PUNCT
ejpam-6698	606	5	like	like	ADJ
ejpam-6698	606	6	a.	a.	NOUN
ejpam-6698	606	7	alsoboh	alsoboh	PROPN
ejpam-6698	606	8	et	et	PROPN
ejpam-6698	606	9	al	al	PROPN
ejpam-6698	606	10	.	.	PUNCT
ejpam-6698	606	11	/	/	SYM
ejpam-6698	606	12	eur	eur	PROPN
ejpam-6698	606	13	.	.	PUNCT
ejpam-6698	607	1	j.	j.	PROPN
ejpam-6698	607	2	pure	pure	PROPN
ejpam-6698	607	3	appl	appl	PROPN
ejpam-6698	607	4	.	.	PROPN
ejpam-6698	607	5	math	math	PROPN
ejpam-6698	607	6	,	,	PUNCT
ejpam-6698	607	7	18	18	NUM
ejpam-6698	607	8	(	(	PUNCT
ejpam-6698	607	9	3	3	NUM
ejpam-6698	607	10	)	)	PUNCT
ejpam-6698	607	11	(	(	PUNCT
ejpam-6698	607	12	2025	2025	NUM
ejpam-6698	607	13	)	)	PUNCT
ejpam-6698	607	14	,	,	PUNCT
ejpam-6698	607	15	6698	6698	NUM
ejpam-6698	607	16	25	25	NUM
ejpam-6698	607	17	of	of	ADP
ejpam-6698	607	18	25	25	NUM
ejpam-6698	607	19	curves	curve	NOUN
ejpam-6698	607	20	connected	connect	VERB
ejpam-6698	607	21	with	with	ADP
ejpam-6698	607	22	fibonacci	fibonacci	NOUN
ejpam-6698	607	23	numbers	number	NOUN
ejpam-6698	607	24	.	.	PUNCT
ejpam-6698	608	1	axioms	axiom	NOUN
ejpam-6698	608	2	,	,	PUNCT
ejpam-6698	608	3	12:639	12:639	NUM
ejpam-6698	608	4	,	,	PUNCT
ejpam-6698	608	5	2023	2023	NUM
ejpam-6698	608	6	.	.	PUNCT
ejpam-6698	609	1	[	[	X
ejpam-6698	609	2	33	33	NUM
ejpam-6698	609	3	]	]	X
ejpam-6698	609	4	n.	n.	PROPN
ejpam-6698	609	5	y.	y.	PROPN
ejpam-6698	609	6	özgür	özgür	PROPN
ejpam-6698	609	7	and	and	CCONJ
ejpam-6698	609	8	j.	j.	PROPN
ejpam-6698	609	9	sokó	sokó	PROPN
ejpam-6698	609	10	l.	l.	PROPN
ejpam-6698	609	11	on	on	ADP
ejpam-6698	609	12	starlike	starlike	NOUN
ejpam-6698	609	13	functions	function	NOUN
ejpam-6698	609	14	connected	connect	VERB
ejpam-6698	609	15	with	with	ADP
ejpam-6698	609	16	k	k	ADJ
ejpam-6698	609	17	-	-	PUNCT
ejpam-6698	609	18	fibonacci	fibonacci	NOUN
ejpam-6698	609	19	numbers	number	NOUN
ejpam-6698	609	20	.	.	PUNCT
ejpam-6698	610	1	bulletin	bulletin	NOUN
ejpam-6698	610	2	of	of	ADP
ejpam-6698	610	3	the	the	DET
ejpam-6698	610	4	malaysian	malaysian	PROPN
ejpam-6698	610	5	mathematical	mathematical	PROPN
ejpam-6698	610	6	sciences	sciences	PROPN
ejpam-6698	610	7	society	society	NOUN
ejpam-6698	610	8	,	,	PUNCT
ejpam-6698	610	9	38:249–258	38:249–258	PROPN
ejpam-6698	610	10	,	,	PUNCT
ejpam-6698	610	11	2015	2015	NUM
ejpam-6698	610	12	.	.	PUNCT
ejpam-6698	611	1	[	[	X
ejpam-6698	611	2	34	34	NUM
ejpam-6698	611	3	]	]	X
ejpam-6698	611	4	u.	u.	NOUN
ejpam-6698	611	5	grenander	grenander	PROPN
ejpam-6698	611	6	and	and	CCONJ
ejpam-6698	611	7	g.	g.	PROPN
ejpam-6698	611	8	szegö.	szegö.	PROPN
ejpam-6698	611	9	toeplitz	toeplitz	NOUN
ejpam-6698	611	10	forms	form	NOUN
ejpam-6698	611	11	and	and	CCONJ
ejpam-6698	611	12	their	their	PRON
ejpam-6698	611	13	applications	application	NOUN
ejpam-6698	611	14	.	.	PUNCT
ejpam-6698	612	1	california	california	PROPN
ejpam-6698	612	2	monographs	monograph	NOUN
ejpam-6698	612	3	in	in	ADP
ejpam-6698	612	4	mathematical	mathematical	ADJ
ejpam-6698	612	5	sciences	science	NOUN
ejpam-6698	612	6	.	.	PUNCT
ejpam-6698	613	1	university	university	PROPN
ejpam-6698	613	2	of	of	ADP
ejpam-6698	613	3	california	california	PROPN
ejpam-6698	613	4	press	press	PROPN
ejpam-6698	613	5	,	,	PUNCT
ejpam-6698	613	6	berkeley	berkeley	PROPN
ejpam-6698	613	7	,	,	PUNCT
ejpam-6698	613	8	1958	1958	NUM
ejpam-6698	613	9	.	.	PUNCT
ejpam-6698	614	1	[	[	X
ejpam-6698	614	2	35	35	NUM
ejpam-6698	614	3	]	]	PUNCT
ejpam-6698	614	4	a.	a.	NOUN
ejpam-6698	614	5	amourah	amourah	PROPN
ejpam-6698	614	6	,	,	PUNCT
ejpam-6698	614	7	a.	a.	PROPN
ejpam-6698	614	8	alsoboh	alsoboh	PROPN
ejpam-6698	614	9	,	,	PUNCT
ejpam-6698	614	10	d.	d.	PROPN
ejpam-6698	614	11	breaz	breaz	PROPN
ejpam-6698	614	12	,	,	PUNCT
ejpam-6698	614	13	and	and	CCONJ
ejpam-6698	614	14	s.	s.	PROPN
ejpam-6698	614	15	m	m	PROPN
ejpam-6698	614	16	el	el	PROPN
ejpam-6698	614	17	-	-	PUNCT
ejpam-6698	614	18	deeb	deeb	PROPN
ejpam-6698	614	19	.	.	PUNCT
ejpam-6698	615	1	a	a	DET
ejpam-6698	615	2	bi	bi	ADJ
ejpam-6698	615	3	-	-	ADJ
ejpam-6698	615	4	starlike	starlike	ADJ
ejpam-6698	615	5	class	class	NOUN
ejpam-6698	615	6	in	in	ADP
ejpam-6698	615	7	a	a	DET
ejpam-6698	615	8	leaf	leaf	NOUN
ejpam-6698	615	9	-	-	PUNCT
ejpam-6698	615	10	like	like	ADJ
ejpam-6698	615	11	domain	domain	NOUN
ejpam-6698	615	12	defined	define	VERB
ejpam-6698	615	13	through	through	ADP
ejpam-6698	615	14	subordination	subordination	NOUN
ejpam-6698	615	15	via	via	ADP
ejpam-6698	615	16	q	q	NOUN
ejpam-6698	615	17	-	-	NOUN
ejpam-6698	615	18	calculus	calculus	NOUN
ejpam-6698	615	19	.	.	PUNCT
ejpam-6698	616	1	mathematics	mathematic	NOUN
ejpam-6698	616	2	,	,	PUNCT
ejpam-6698	616	3	12(11):1735	12(11):1735	NUM
ejpam-6698	616	4	,	,	PUNCT
ejpam-6698	616	5	2024	2024	NUM
ejpam-6698	616	6	.	.	PUNCT