id	sid	tid	token	lemma	pos
ejpam-5822	1	1	european	european	PROPN
ejpam-5822	1	2	journal	journal	PROPN
ejpam-5822	1	3	of	of	ADP
ejpam-5822	1	4	pure	pure	ADJ
ejpam-5822	1	5	and	and	CCONJ
ejpam-5822	1	6	applied	applied	ADJ
ejpam-5822	1	7	mathematics	mathematic	NOUN
ejpam-5822	1	8	2025	2025	NUM
ejpam-5822	1	9	,	,	PUNCT
ejpam-5822	1	10	vol	vol	NOUN
ejpam-5822	1	11	.	.	PROPN
ejpam-5822	1	12	18	18	NUM
ejpam-5822	1	13	,	,	PUNCT
ejpam-5822	1	14	issue	issue	NOUN
ejpam-5822	1	15	2	2	NUM
ejpam-5822	1	16	,	,	PUNCT
ejpam-5822	1	17	article	article	NOUN
ejpam-5822	1	18	number	number	NOUN
ejpam-5822	1	19	5822	5822	NUM
ejpam-5822	1	20	issn	issn	PROPN
ejpam-5822	1	21	1307	1307	NUM
ejpam-5822	1	22	-	-	SYM
ejpam-5822	1	23	5543	5543	NUM
ejpam-5822	1	24	–	–	PUNCT
ejpam-5822	1	25	ejpam.com	ejpam.com	X
ejpam-5822	1	26	published	publish	VERB
ejpam-5822	1	27	by	by	ADP
ejpam-5822	1	28	new	new	PROPN
ejpam-5822	1	29	york	york	PROPN
ejpam-5822	1	30	business	business	PROPN
ejpam-5822	1	31	global	global	ADJ
ejpam-5822	1	32	sixteenth	sixteenth	ADJ
ejpam-5822	1	33	-	-	PUNCT
ejpam-5822	1	34	order	order	NOUN
ejpam-5822	1	35	steffensen	steffensen	NOUN
ejpam-5822	1	36	-	-	PUNCT
ejpam-5822	1	37	ostrowski	ostrowski	NOUN
ejpam-5822	1	38	approach	approach	NOUN
ejpam-5822	1	39	for	for	ADP
ejpam-5822	1	40	nonlinear	nonlinear	ADJ
ejpam-5822	1	41	problems	problem	NOUN
ejpam-5822	1	42	with	with	ADP
ejpam-5822	1	43	applications	application	NOUN
ejpam-5822	1	44	in	in	ADP
ejpam-5822	1	45	celestial	celestial	ADJ
ejpam-5822	1	46	,	,	PUNCT
ejpam-5822	1	47	predator	predator	NOUN
ejpam-5822	1	48	-	-	PUNCT
ejpam-5822	1	49	prey	prey	NOUN
ejpam-5822	1	50	and	and	CCONJ
ejpam-5822	1	51	neural	neural	ADJ
ejpam-5822	1	52	activation	activation	NOUN
ejpam-5822	1	53	saima	saima	PROPN
ejpam-5822	1	54	akram1,2	akram1,2	PROPN
ejpam-5822	1	55	,	,	PUNCT
ejpam-5822	1	56	muhammad	muhammad	PROPN
ejpam-5822	1	57	bilal	bilal	PROPN
ejpam-5822	1	58	riaz3,5	riaz3,5	PROPN
ejpam-5822	1	59	,	,	PUNCT
ejpam-5822	1	60	*	*	PUNCT
ejpam-5822	1	61	,	,	PUNCT
ejpam-5822	1	62	hareem	hareem	PROPN
ejpam-5822	1	63	khalid2	khalid2	PROPN
ejpam-5822	1	64	,	,	PUNCT
ejpam-5822	1	65	fouzia	fouzia	VERB
ejpam-5822	1	66	amir*4	amir*4	NUM
ejpam-5822	1	67	,	,	PUNCT
ejpam-5822	1	68	faiza	faiza	PROPN
ejpam-5822	1	69	akram2	akram2	PROPN
ejpam-5822	1	70	,	,	PUNCT
ejpam-5822	1	71	dexkanov	dexkanov	PROPN
ejpam-5822	1	72	suxrob	suxrob	PROPN
ejpam-5822	1	73	sobirovich4	sobirovich4	PROPN
ejpam-5822	2	1	1	1	NUM
ejpam-5822	2	2	department	department	NOUN
ejpam-5822	2	3	of	of	ADP
ejpam-5822	2	4	mathematics	mathematic	NOUN
ejpam-5822	2	5	,	,	PUNCT
ejpam-5822	2	6	government	government	NOUN
ejpam-5822	2	7	college	college	NOUN
ejpam-5822	2	8	women	women	PROPN
ejpam-5822	2	9	university	university	PROPN
ejpam-5822	2	10	faisalabad	faisalabad	PROPN
ejpam-5822	2	11	,	,	PUNCT
ejpam-5822	2	12	faisalabad	faisalabad	PROPN
ejpam-5822	2	13	38000	38000	NUM
ejpam-5822	2	14	pakistan	pakistan	PROPN
ejpam-5822	2	15	2	2	NUM
ejpam-5822	2	16	center	center	NOUN
ejpam-5822	2	17	for	for	ADP
ejpam-5822	2	18	advanced	advanced	ADJ
ejpam-5822	2	19	studies	study	NOUN
ejpam-5822	2	20	in	in	ADP
ejpam-5822	2	21	pure	pure	ADJ
ejpam-5822	2	22	and	and	CCONJ
ejpam-5822	2	23	applied	applied	ADJ
ejpam-5822	2	24	mathematics	mathematic	NOUN
ejpam-5822	2	25	,	,	PUNCT
ejpam-5822	2	26	bahauddin	bahauddin	PROPN
ejpam-5822	2	27	zakariya	zakariya	PROPN
ejpam-5822	2	28	university	university	PROPN
ejpam-5822	2	29	,	,	PUNCT
ejpam-5822	2	30	multan	multan	PROPN
ejpam-5822	2	31	,	,	PUNCT
ejpam-5822	2	32	60000	60000	NUM
ejpam-5822	2	33	,	,	PUNCT
ejpam-5822	2	34	pakistan	pakistan	PROPN
ejpam-5822	2	35	3	3	NUM
ejpam-5822	2	36	it4innovations	it4innovation	NOUN
ejpam-5822	2	37	,	,	PUNCT
ejpam-5822	2	38	vsb	vsb	PROPN
ejpam-5822	2	39	–	–	PUNCT
ejpam-5822	2	40	technical	technical	ADJ
ejpam-5822	2	41	university	university	PROPN
ejpam-5822	2	42	of	of	ADP
ejpam-5822	2	43	ostrava	ostrava	PROPN
ejpam-5822	2	44	,	,	PUNCT
ejpam-5822	2	45	ostrava	ostrava	PROPN
ejpam-5822	2	46	,	,	PUNCT
ejpam-5822	2	47	czech	czech	PROPN
ejpam-5822	2	48	republic	republic	NOUN
ejpam-5822	2	49	4	4	NUM
ejpam-5822	2	50	centre	centre	NOUN
ejpam-5822	2	51	for	for	ADP
ejpam-5822	2	52	research	research	NOUN
ejpam-5822	2	53	and	and	CCONJ
ejpam-5822	2	54	innovation	innovation	NOUN
ejpam-5822	2	55	,	,	PUNCT
ejpam-5822	2	56	asia	asia	PROPN
ejpam-5822	2	57	international	international	PROPN
ejpam-5822	2	58	university	university	PROPN
ejpam-5822	2	59	,	,	PUNCT
ejpam-5822	2	60	bukhara	bukhara	PROPN
ejpam-5822	2	61	,	,	PUNCT
ejpam-5822	2	62	200100	200100	NUM
ejpam-5822	2	63	,	,	PUNCT
ejpam-5822	2	64	uzbekistan	uzbekistan	PROPN
ejpam-5822	2	65	5	5	NUM
ejpam-5822	2	66	applied	apply	VERB
ejpam-5822	2	67	science	science	NOUN
ejpam-5822	2	68	research	research	NOUN
ejpam-5822	2	69	center	center	NOUN
ejpam-5822	2	70	,	,	PUNCT
ejpam-5822	2	71	applied	apply	VERB
ejpam-5822	2	72	science	science	NOUN
ejpam-5822	2	73	private	private	ADJ
ejpam-5822	2	74	university	university	NOUN
ejpam-5822	2	75	,	,	PUNCT
ejpam-5822	2	76	amman	amman	PROPN
ejpam-5822	2	77	,	,	PUNCT
ejpam-5822	2	78	jordan	jordan	PROPN
ejpam-5822	2	79	abstract	abstract	PROPN
ejpam-5822	2	80	.	.	PUNCT
ejpam-5822	3	1	the	the	DET
ejpam-5822	3	2	increasing	increase	VERB
ejpam-5822	3	3	demand	demand	NOUN
ejpam-5822	3	4	for	for	ADP
ejpam-5822	3	5	accurate	accurate	ADJ
ejpam-5822	3	6	and	and	CCONJ
ejpam-5822	3	7	efficient	efficient	ADJ
ejpam-5822	3	8	solutions	solution	NOUN
ejpam-5822	3	9	to	to	ADP
ejpam-5822	3	10	nonlinear	nonlinear	ADJ
ejpam-5822	3	11	equations	equation	NOUN
ejpam-5822	3	12	,	,	PUNCT
ejpam-5822	3	13	driven	drive	VERB
ejpam-5822	3	14	by	by	ADP
ejpam-5822	3	15	advancements	advancement	NOUN
ejpam-5822	3	16	across	across	ADP
ejpam-5822	3	17	diverse	diverse	ADJ
ejpam-5822	3	18	research	research	NOUN
ejpam-5822	3	19	and	and	CCONJ
ejpam-5822	3	20	engineering	engineering	NOUN
ejpam-5822	3	21	fields	field	NOUN
ejpam-5822	3	22	,	,	PUNCT
ejpam-5822	3	23	highlights	highlight	VERB
ejpam-5822	3	24	the	the	DET
ejpam-5822	3	25	critical	critical	ADJ
ejpam-5822	3	26	need	need	NOUN
ejpam-5822	3	27	for	for	ADP
ejpam-5822	3	28	innovative	innovative	ADJ
ejpam-5822	3	29	computational	computational	ADJ
ejpam-5822	3	30	methods	method	NOUN
ejpam-5822	3	31	.	.	PUNCT
ejpam-5822	4	1	this	this	DET
ejpam-5822	4	2	study	study	NOUN
ejpam-5822	4	3	addresses	address	VERB
ejpam-5822	4	4	this	this	DET
ejpam-5822	4	5	need	need	NOUN
ejpam-5822	4	6	by	by	ADP
ejpam-5822	4	7	introducing	introduce	VERB
ejpam-5822	4	8	a	a	DET
ejpam-5822	4	9	novel	novel	ADJ
ejpam-5822	4	10	derivative	derivative	ADJ
ejpam-5822	4	11	-	-	PUNCT
ejpam-5822	4	12	free	free	ADJ
ejpam-5822	4	13	sixteenth	sixteenth	ADJ
ejpam-5822	4	14	-	-	PUNCT
ejpam-5822	4	15	order	order	NOUN
ejpam-5822	4	16	iterative	iterative	NOUN
ejpam-5822	4	17	scheme	scheme	NOUN
ejpam-5822	4	18	derived	derive	VERB
ejpam-5822	4	19	from	from	ADP
ejpam-5822	4	20	a	a	DET
ejpam-5822	4	21	weighted	weight	VERB
ejpam-5822	4	22	steffensen	steffensen	NOUN
ejpam-5822	4	23	-	-	PUNCT
ejpam-5822	4	24	ostrowski	ostrowski	ADJ
ejpam-5822	4	25	-	-	PUNCT
ejpam-5822	4	26	type	type	NOUN
ejpam-5822	4	27	family	family	NOUN
ejpam-5822	4	28	.	.	PUNCT
ejpam-5822	5	1	according	accord	VERB
ejpam-5822	5	2	to	to	ADP
ejpam-5822	5	3	the	the	DET
ejpam-5822	5	4	kung	kung	ADJ
ejpam-5822	5	5	-	-	PUNCT
ejpam-5822	5	6	traub	traub	NOUN
ejpam-5822	5	7	conjecture	conjecture	NOUN
ejpam-5822	5	8	,	,	PUNCT
ejpam-5822	5	9	this	this	DET
ejpam-5822	5	10	scheme	scheme	NOUN
ejpam-5822	5	11	is	be	AUX
ejpam-5822	5	12	designed	design	VERB
ejpam-5822	5	13	to	to	PART
ejpam-5822	5	14	achieve	achieve	VERB
ejpam-5822	5	15	optimal	optimal	ADJ
ejpam-5822	5	16	convergence	convergence	NOUN
ejpam-5822	5	17	using	use	VERB
ejpam-5822	5	18	only	only	ADV
ejpam-5822	5	19	five	five	NUM
ejpam-5822	5	20	function	function	NOUN
ejpam-5822	5	21	evaluations	evaluation	NOUN
ejpam-5822	5	22	per	per	ADP
ejpam-5822	5	23	iteration	iteration	NOUN
ejpam-5822	5	24	.	.	PUNCT
ejpam-5822	6	1	a	a	DET
ejpam-5822	6	2	key	key	ADJ
ejpam-5822	6	3	innovation	innovation	NOUN
ejpam-5822	6	4	lies	lie	VERB
ejpam-5822	6	5	in	in	ADP
ejpam-5822	6	6	employing	employ	VERB
ejpam-5822	6	7	a	a	DET
ejpam-5822	6	8	bivariate	bivariate	ADJ
ejpam-5822	6	9	weight	weight	NOUN
ejpam-5822	6	10	function	function	NOUN
ejpam-5822	6	11	in	in	ADP
ejpam-5822	6	12	the	the	DET
ejpam-5822	6	13	third	third	ADJ
ejpam-5822	6	14	step	step	NOUN
ejpam-5822	6	15	and	and	CCONJ
ejpam-5822	6	16	lagrange	lagrange	NOUN
ejpam-5822	6	17	interpolation	interpolation	NOUN
ejpam-5822	6	18	in	in	ADP
ejpam-5822	6	19	the	the	DET
ejpam-5822	6	20	fourth	fourth	ADJ
ejpam-5822	6	21	step	step	NOUN
ejpam-5822	6	22	,	,	PUNCT
ejpam-5822	6	23	ensuring	ensure	VERB
ejpam-5822	6	24	high	high	ADJ
ejpam-5822	6	25	accuracy	accuracy	NOUN
ejpam-5822	6	26	and	and	CCONJ
ejpam-5822	6	27	computational	computational	ADJ
ejpam-5822	6	28	efficiency	efficiency	NOUN
ejpam-5822	6	29	by	by	ADP
ejpam-5822	6	30	avoiding	avoid	VERB
ejpam-5822	6	31	derivative	derivative	ADJ
ejpam-5822	6	32	evaluation	evaluation	NOUN
ejpam-5822	6	33	.	.	PUNCT
ejpam-5822	7	1	the	the	DET
ejpam-5822	7	2	extensive	extensive	ADJ
ejpam-5822	7	3	convergence	convergence	NOUN
ejpam-5822	7	4	analysis	analysis	NOUN
ejpam-5822	7	5	shows	show	VERB
ejpam-5822	7	6	that	that	SCONJ
ejpam-5822	7	7	the	the	DET
ejpam-5822	7	8	proposed	propose	VERB
ejpam-5822	7	9	scheme	scheme	NOUN
ejpam-5822	7	10	is	be	AUX
ejpam-5822	7	11	of	of	ADP
ejpam-5822	7	12	sixteenth	sixteenth	ADJ
ejpam-5822	7	13	order	order	NOUN
ejpam-5822	7	14	and	and	CCONJ
ejpam-5822	7	15	is	be	AUX
ejpam-5822	7	16	validated	validate	VERB
ejpam-5822	7	17	through	through	ADP
ejpam-5822	7	18	applications	application	NOUN
ejpam-5822	7	19	to	to	ADP
ejpam-5822	7	20	real	real	ADJ
ejpam-5822	7	21	-	-	PUNCT
ejpam-5822	7	22	world	world	NOUN
ejpam-5822	7	23	problems	problem	NOUN
ejpam-5822	7	24	,	,	PUNCT
ejpam-5822	7	25	including	include	VERB
ejpam-5822	7	26	kepler	kepler	NOUN
ejpam-5822	7	27	’s	’s	PART
ejpam-5822	7	28	celestial	celestial	ADJ
ejpam-5822	7	29	motion	motion	NOUN
ejpam-5822	7	30	,	,	PUNCT
ejpam-5822	7	31	an	an	DET
ejpam-5822	7	32	ideally	ideally	ADV
ejpam-5822	7	33	mixed	mixed	ADJ
ejpam-5822	7	34	reactor	reactor	NOUN
ejpam-5822	7	35	,	,	PUNCT
ejpam-5822	7	36	predator	predator	NOUN
ejpam-5822	7	37	-	-	PUNCT
ejpam-5822	7	38	prey	prey	NOUN
ejpam-5822	7	39	models	model	NOUN
ejpam-5822	7	40	,	,	PUNCT
ejpam-5822	7	41	neural	neural	ADJ
ejpam-5822	7	42	activation	activation	NOUN
ejpam-5822	7	43	dynamics	dynamic	NOUN
ejpam-5822	7	44	,	,	PUNCT
ejpam-5822	7	45	and	and	CCONJ
ejpam-5822	7	46	periodic	periodic	ADJ
ejpam-5822	7	47	ecosystem	ecosystem	NOUN
ejpam-5822	7	48	growth	growth	NOUN
ejpam-5822	7	49	.	.	PUNCT
ejpam-5822	8	1	numerical	numerical	ADJ
ejpam-5822	8	2	results	result	NOUN
ejpam-5822	8	3	demonstrate	demonstrate	VERB
ejpam-5822	8	4	the	the	DET
ejpam-5822	8	5	superiority	superiority	NOUN
ejpam-5822	8	6	of	of	ADP
ejpam-5822	8	7	the	the	DET
ejpam-5822	8	8	proposed	propose	VERB
ejpam-5822	8	9	scheme	scheme	NOUN
ejpam-5822	8	10	over	over	ADP
ejpam-5822	8	11	existing	exist	VERB
ejpam-5822	8	12	four	four	NUM
ejpam-5822	8	13	-	-	PUNCT
ejpam-5822	8	14	point	point	NOUN
ejpam-5822	8	15	iterative	iterative	NOUN
ejpam-5822	8	16	schemes	scheme	NOUN
ejpam-5822	8	17	,	,	PUNCT
ejpam-5822	8	18	particularly	particularly	ADV
ejpam-5822	8	19	in	in	ADP
ejpam-5822	8	20	terms	term	NOUN
ejpam-5822	8	21	of	of	ADP
ejpam-5822	8	22	absolute	absolute	ADJ
ejpam-5822	8	23	error	error	NOUN
ejpam-5822	8	24	and	and	CCONJ
ejpam-5822	8	25	computational	computational	ADJ
ejpam-5822	8	26	convergence	convergence	NOUN
ejpam-5822	8	27	order	order	NOUN
ejpam-5822	8	28	.	.	PUNCT
ejpam-5822	9	1	furthermore	furthermore	ADV
ejpam-5822	9	2	,	,	PUNCT
ejpam-5822	9	3	graphical	graphical	ADJ
ejpam-5822	9	4	analysis	analysis	NOUN
ejpam-5822	9	5	of	of	ADP
ejpam-5822	9	6	complex	complex	ADJ
ejpam-5822	9	7	polynomials	polynomial	NOUN
ejpam-5822	9	8	illustrates	illustrate	VERB
ejpam-5822	9	9	the	the	DET
ejpam-5822	9	10	algorithm	algorithm	NOUN
ejpam-5822	9	11	’s	’s	PART
ejpam-5822	9	12	attraction	attraction	NOUN
ejpam-5822	9	13	basins	basin	NOUN
ejpam-5822	9	14	,	,	PUNCT
ejpam-5822	9	15	offering	offer	VERB
ejpam-5822	9	16	a	a	DET
ejpam-5822	9	17	wide	wide	ADJ
ejpam-5822	9	18	range	range	NOUN
ejpam-5822	9	19	of	of	ADP
ejpam-5822	9	20	choosing	choose	VERB
ejpam-5822	9	21	from	from	ADP
ejpam-5822	9	22	initial	initial	ADJ
ejpam-5822	9	23	guesses	guess	NOUN
ejpam-5822	9	24	to	to	PART
ejpam-5822	9	25	converge	converge	VERB
ejpam-5822	9	26	to	to	ADP
ejpam-5822	9	27	the	the	DET
ejpam-5822	9	28	specified	specify	VERB
ejpam-5822	9	29	root	root	NOUN
ejpam-5822	9	30	more	more	ADV
ejpam-5822	9	31	efficiently	efficiently	ADV
ejpam-5822	9	32	without	without	ADP
ejpam-5822	9	33	divergence	divergence	NOUN
ejpam-5822	9	34	and	and	CCONJ
ejpam-5822	9	35	hence	hence	ADV
ejpam-5822	9	36	showed	show	VERB
ejpam-5822	9	37	more	more	ADV
ejpam-5822	9	38	stable	stable	ADJ
ejpam-5822	9	39	behavior	behavior	NOUN
ejpam-5822	9	40	.	.	PUNCT
ejpam-5822	10	1	in	in	ADP
ejpam-5822	10	2	this	this	DET
ejpam-5822	10	3	way	way	NOUN
ejpam-5822	10	4	we	we	PRON
ejpam-5822	10	5	achieved	achieve	VERB
ejpam-5822	10	6	significant	significant	ADJ
ejpam-5822	10	7	computational	computational	ADJ
ejpam-5822	10	8	improvements	improvement	NOUN
ejpam-5822	10	9	and	and	CCONJ
ejpam-5822	10	10	higher	high	ADJ
ejpam-5822	10	11	convergence	convergence	NOUN
ejpam-5822	10	12	order	order	NOUN
ejpam-5822	10	13	.	.	PUNCT
ejpam-5822	11	1	as	as	ADP
ejpam-5822	11	2	the	the	DET
ejpam-5822	11	3	proposed	propose	VERB
ejpam-5822	11	4	scheme	scheme	NOUN
ejpam-5822	11	5	fall	fall	NOUN
ejpam-5822	11	6	under	under	ADP
ejpam-5822	11	7	the	the	DET
ejpam-5822	11	8	category	category	NOUN
ejpam-5822	11	9	of	of	ADP
ejpam-5822	11	10	derivative	derivative	ADJ
ejpam-5822	11	11	free	free	ADJ
ejpam-5822	11	12	schemes	scheme	NOUN
ejpam-5822	11	13	,	,	PUNCT
ejpam-5822	11	14	so	so	SCONJ
ejpam-5822	11	15	it	it	PRON
ejpam-5822	11	16	is	be	AUX
ejpam-5822	11	17	more	more	ADV
ejpam-5822	11	18	general	general	ADJ
ejpam-5822	11	19	as	as	SCONJ
ejpam-5822	11	20	compared	compare	VERB
ejpam-5822	11	21	to	to	ADP
ejpam-5822	11	22	existing	exist	VERB
ejpam-5822	11	23	schemes	scheme	NOUN
ejpam-5822	11	24	in	in	ADP
ejpam-5822	11	25	literature	literature	NOUN
ejpam-5822	11	26	and	and	CCONJ
ejpam-5822	11	27	is	be	AUX
ejpam-5822	11	28	considered	consider	VERB
ejpam-5822	11	29	to	to	PART
ejpam-5822	11	30	be	be	AUX
ejpam-5822	11	31	a	a	DET
ejpam-5822	11	32	good	good	ADJ
ejpam-5822	11	33	alternative	alternative	NOUN
ejpam-5822	11	34	to	to	ADP
ejpam-5822	11	35	the	the	DET
ejpam-5822	11	36	existing	exist	VERB
ejpam-5822	11	37	schemes	scheme	NOUN
ejpam-5822	11	38	especially	especially	ADV
ejpam-5822	11	39	where	where	SCONJ
ejpam-5822	11	40	derivatives	derivative	NOUN
ejpam-5822	11	41	are	be	AUX
ejpam-5822	11	42	unavailable	unavailable	ADJ
ejpam-5822	11	43	.	.	PUNCT
ejpam-5822	12	1	2020	2020	NUM
ejpam-5822	12	2	mathematics	mathematic	NOUN
ejpam-5822	12	3	subject	subject	NOUN
ejpam-5822	12	4	classifications	classification	NOUN
ejpam-5822	12	5	:	:	PUNCT
ejpam-5822	12	6	65h10	65h10	NUM
ejpam-5822	12	7	,	,	PUNCT
ejpam-5822	12	8	65b99	65b99	NUM
ejpam-5822	12	9	,	,	PUNCT
ejpam-5822	12	10	92b20	92b20	NUM
ejpam-5822	12	11	∗corresponding	∗corresponde	VERB
ejpam-5822	12	12	author	author	NOUN
ejpam-5822	12	13	.	.	PUNCT
ejpam-5822	13	1	∗corresponding	∗corresponde	VERB
ejpam-5822	13	2	author	author	NOUN
ejpam-5822	13	3	.	.	PUNCT
ejpam-5822	14	1	doi	doi	NOUN
ejpam-5822	14	2	:	:	PUNCT
ejpam-5822	14	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5822	https://doi.org/10.29020/nybg.ejpam.v18i2.5822	ADJ
ejpam-5822	14	4	email	email	NOUN
ejpam-5822	14	5	addresses	address	NOUN
ejpam-5822	14	6	:	:	PUNCT
ejpam-5822	14	7	saimaakram@gcwuf.edu.pk	saimaakram@gcwuf.edu.pk	PROPN
ejpam-5822	14	8	(	(	PUNCT
ejpam-5822	14	9	s.	s.	PROPN
ejpam-5822	14	10	akram	akram	PROPN
ejpam-5822	14	11	)	)	PUNCT
ejpam-5822	14	12	,	,	PUNCT
ejpam-5822	14	13	muhammad.bilal.riaz@vsb.cz	muhammad.bilal.riaz@vsb.cz	X
ejpam-5822	14	14	(	(	PUNCT
ejpam-5822	14	15	m.	m.	NOUN
ejpam-5822	14	16	riaz	riaz	PROPN
ejpam-5822	14	17	)	)	PUNCT
ejpam-5822	14	18	,	,	PUNCT
ejpam-5822	14	19	faiza4akram@gmail.com	faiza4akram@gmail.com	PROPN
ejpam-5822	14	20	(	(	PUNCT
ejpam-5822	14	21	f.	f.	PROPN
ejpam-5822	14	22	akram	akram	PROPN
ejpam-5822	14	23	)	)	PUNCT
ejpam-5822	14	24	,	,	PUNCT
ejpam-5822	14	25	fouziaur.abbasi@oxu.uz	fouziaur.abbasi@oxu.uz	X
ejpam-5822	14	26	(	(	PUNCT
ejpam-5822	14	27	f.	f.	PROPN
ejpam-5822	14	28	amir	amir	PROPN
ejpam-5822	14	29	)	)	PUNCT
ejpam-5822	14	30	,	,	PUNCT
ejpam-5822	14	31	hareemkhalid65@gmail.com	hareemkhalid65@gmail.com	X
ejpam-5822	14	32	(	(	PUNCT
ejpam-5822	14	33	m.	m.	PROPN
ejpam-5822	14	34	khalid	khalid	PROPN
ejpam-5822	14	35	)	)	PUNCT
ejpam-5822	14	36	,	,	PUNCT
ejpam-5822	14	37	s.dekhanov@oxu.uz	s.dekhanov@oxu.uz	PROPN
ejpam-5822	14	38	(	(	PUNCT
ejpam-5822	14	39	s.	s.	PROPN
ejpam-5822	14	40	dekhanov	dekhanov	PROPN
ejpam-5822	14	41	)	)	PUNCT
ejpam-5822	14	42	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5822	14	43	1	1	NUM
ejpam-5822	14	44	copyright	copyright	NOUN
ejpam-5822	14	45	:	:	PUNCT
ejpam-5822	15	1	©	©	PROPN
ejpam-5822	15	2	2025	2025	NUM
ejpam-5822	15	3	the	the	DET
ejpam-5822	15	4	author(s	author(s	NOUN
ejpam-5822	15	5	)	)	PUNCT
ejpam-5822	15	6	.	.	PUNCT
ejpam-5822	16	1	(	(	PUNCT
ejpam-5822	16	2	cc	cc	NOUN
ejpam-5822	16	3	by	by	ADP
ejpam-5822	16	4	-	-	PUNCT
ejpam-5822	16	5	nc	nc	PROPN
ejpam-5822	16	6	4.0	4.0	NUM
ejpam-5822	16	7	)	)	PUNCT
ejpam-5822	16	8	s.	s.	PROPN
ejpam-5822	16	9	akram	akram	PROPN
ejpam-5822	16	10	et	et	PROPN
ejpam-5822	16	11	al	al	PROPN
ejpam-5822	16	12	.	.	PUNCT
ejpam-5822	16	13	/	/	SYM
ejpam-5822	16	14	eur	eur	PROPN
ejpam-5822	16	15	.	.	PUNCT
ejpam-5822	17	1	j.	j.	PROPN
ejpam-5822	17	2	pure	pure	PROPN
ejpam-5822	17	3	appl	appl	PROPN
ejpam-5822	17	4	.	.	PROPN
ejpam-5822	17	5	math	math	PROPN
ejpam-5822	17	6	,	,	PUNCT
ejpam-5822	17	7	18	18	NUM
ejpam-5822	17	8	(	(	PUNCT
ejpam-5822	17	9	2	2	NUM
ejpam-5822	17	10	)	)	PUNCT
ejpam-5822	17	11	(	(	PUNCT
ejpam-5822	17	12	2025	2025	NUM
ejpam-5822	17	13	)	)	PUNCT
ejpam-5822	17	14	,	,	PUNCT
ejpam-5822	17	15	5822	5822	NUM
ejpam-5822	17	16	2	2	NUM
ejpam-5822	17	17	of	of	ADP
ejpam-5822	17	18	26	26	NUM
ejpam-5822	17	19	key	key	ADJ
ejpam-5822	17	20	words	word	NOUN
ejpam-5822	17	21	and	and	CCONJ
ejpam-5822	17	22	phrases	phrase	NOUN
ejpam-5822	17	23	:	:	PUNCT
ejpam-5822	17	24	nonlinear	nonlinear	ADJ
ejpam-5822	17	25	equations	equation	NOUN
ejpam-5822	17	26	,	,	PUNCT
ejpam-5822	17	27	iterative	iterative	NOUN
ejpam-5822	17	28	methods	method	NOUN
ejpam-5822	17	29	,	,	PUNCT
ejpam-5822	17	30	lagrange	lagrange	NOUN
ejpam-5822	17	31	interpolation	interpolation	NOUN
ejpam-5822	17	32	,	,	PUNCT
ejpam-5822	17	33	optimal	optimal	ADJ
ejpam-5822	17	34	convergence	convergence	NOUN
ejpam-5822	17	35	order	order	NOUN
ejpam-5822	17	36	,	,	PUNCT
ejpam-5822	17	37	efficiency	efficiency	NOUN
ejpam-5822	17	38	index	index	NOUN
ejpam-5822	17	39	,	,	PUNCT
ejpam-5822	17	40	basins	basin	NOUN
ejpam-5822	17	41	of	of	ADP
ejpam-5822	17	42	attraction	attraction	NOUN
ejpam-5822	17	43	1	1	NUM
ejpam-5822	17	44	.	.	PUNCT
ejpam-5822	17	45	introduction	introduction	NOUN
ejpam-5822	17	46	the	the	DET
ejpam-5822	17	47	branch	branch	NOUN
ejpam-5822	17	48	of	of	ADP
ejpam-5822	17	49	computational	computational	ADJ
ejpam-5822	17	50	mathematics	mathematic	NOUN
ejpam-5822	17	51	that	that	PRON
ejpam-5822	17	52	provides	provide	VERB
ejpam-5822	17	53	approximated	approximate	VERB
ejpam-5822	17	54	solutions	solution	NOUN
ejpam-5822	17	55	to	to	ADP
ejpam-5822	17	56	a	a	DET
ejpam-5822	17	57	variety	variety	NOUN
ejpam-5822	17	58	of	of	ADP
ejpam-5822	17	59	mathematical	mathematical	ADJ
ejpam-5822	17	60	problems	problem	NOUN
ejpam-5822	17	61	is	be	AUX
ejpam-5822	17	62	known	know	VERB
ejpam-5822	17	63	as	as	ADP
ejpam-5822	17	64	numerical	numerical	ADJ
ejpam-5822	17	65	analysis	analysis	NOUN
ejpam-5822	17	66	.	.	PUNCT
ejpam-5822	18	1	these	these	DET
ejpam-5822	18	2	problems	problem	NOUN
ejpam-5822	18	3	arise	arise	VERB
ejpam-5822	18	4	from	from	ADP
ejpam-5822	18	5	practical	practical	ADJ
ejpam-5822	18	6	applications	application	NOUN
ejpam-5822	18	7	in	in	ADP
ejpam-5822	18	8	algebra	algebra	NOUN
ejpam-5822	18	9	,	,	PUNCT
ejpam-5822	18	10	geometry	geometry	NOUN
ejpam-5822	18	11	,	,	PUNCT
ejpam-5822	18	12	calculus	calculus	NOUN
ejpam-5822	18	13	,	,	PUNCT
ejpam-5822	18	14	and	and	CCONJ
ejpam-5822	18	15	span	span	VERB
ejpam-5822	18	16	fields	field	NOUN
ejpam-5822	18	17	such	such	ADJ
ejpam-5822	18	18	as	as	ADP
ejpam-5822	18	19	natural	natural	ADJ
ejpam-5822	18	20	sciences	science	NOUN
ejpam-5822	18	21	,	,	PUNCT
ejpam-5822	18	22	social	social	ADJ
ejpam-5822	18	23	sciences	science	NOUN
ejpam-5822	18	24	,	,	PUNCT
ejpam-5822	18	25	engineering	engineering	NOUN
ejpam-5822	18	26	,	,	PUNCT
ejpam-5822	18	27	medicine	medicine	NOUN
ejpam-5822	18	28	,	,	PUNCT
ejpam-5822	18	29	and	and	CCONJ
ejpam-5822	18	30	business	business	NOUN
ejpam-5822	18	31	.	.	PUNCT
ejpam-5822	19	1	they	they	PRON
ejpam-5822	19	2	often	often	ADV
ejpam-5822	19	3	involve	involve	VERB
ejpam-5822	19	4	variables	variable	NOUN
ejpam-5822	19	5	that	that	PRON
ejpam-5822	19	6	change	change	VERB
ejpam-5822	19	7	continuously	continuously	ADV
ejpam-5822	19	8	.	.	PUNCT
ejpam-5822	20	1	one	one	NUM
ejpam-5822	20	2	of	of	ADP
ejpam-5822	20	3	the	the	DET
ejpam-5822	20	4	key	key	ADJ
ejpam-5822	20	5	challenges	challenge	NOUN
ejpam-5822	20	6	in	in	ADP
ejpam-5822	20	7	these	these	DET
ejpam-5822	20	8	fields	field	NOUN
ejpam-5822	20	9	is	be	AUX
ejpam-5822	20	10	solving	solve	VERB
ejpam-5822	20	11	nonlinear	nonlinear	ADJ
ejpam-5822	20	12	equations	equation	NOUN
ejpam-5822	20	13	,	,	PUNCT
ejpam-5822	20	14	defined	define	VERB
ejpam-5822	20	15	as	as	ADP
ejpam-5822	20	16	:	:	PUNCT
ejpam-5822	20	17	g(k	g(k	NOUN
ejpam-5822	20	18	)	)	PUNCT
ejpam-5822	20	19	=	=	SYM
ejpam-5822	20	20	0	0	NUM
ejpam-5822	20	21	,	,	PUNCT
ejpam-5822	20	22	(	(	PUNCT
ejpam-5822	20	23	1	1	X
ejpam-5822	20	24	)	)	PUNCT
ejpam-5822	20	25	plays	play	VERB
ejpam-5822	20	26	a	a	DET
ejpam-5822	20	27	significant	significant	ADJ
ejpam-5822	20	28	role	role	NOUN
ejpam-5822	20	29	in	in	ADP
ejpam-5822	20	30	computational	computational	ADJ
ejpam-5822	20	31	and	and	CCONJ
ejpam-5822	20	32	applied	applied	ADJ
ejpam-5822	20	33	mathematics	mathematic	NOUN
ejpam-5822	20	34	.	.	PUNCT
ejpam-5822	21	1	here	here	ADV
ejpam-5822	21	2	,	,	PUNCT
ejpam-5822	21	3	g	g	NOUN
ejpam-5822	21	4	:	:	PUNCT
ejpam-5822	21	5	d	d	NOUN
ejpam-5822	21	6	⊆	⊆	NUM
ejpam-5822	21	7	c	c	NOUN
ejpam-5822	21	8	→	→	SYM
ejpam-5822	21	9	c	c	PROPN
ejpam-5822	21	10	is	be	AUX
ejpam-5822	21	11	a	a	DET
ejpam-5822	21	12	sufficiently	sufficiently	ADV
ejpam-5822	21	13	differentiable	differentiable	ADJ
ejpam-5822	21	14	function	function	NOUN
ejpam-5822	21	15	on	on	ADP
ejpam-5822	21	16	the	the	DET
ejpam-5822	21	17	interval	interval	NOUN
ejpam-5822	21	18	d.	d.	PROPN
ejpam-5822	21	19	nonlinear	nonlinear	PROPN
ejpam-5822	21	20	equations	equation	NOUN
ejpam-5822	21	21	in	in	ADP
ejpam-5822	21	22	mathematics	mathematic	NOUN
ejpam-5822	21	23	come	come	VERB
ejpam-5822	21	24	in	in	ADP
ejpam-5822	21	25	various	various	ADJ
ejpam-5822	21	26	forms	form	NOUN
ejpam-5822	21	27	,	,	PUNCT
ejpam-5822	21	28	such	such	ADJ
ejpam-5822	21	29	as	as	ADP
ejpam-5822	21	30	transcendental	transcendental	ADJ
ejpam-5822	21	31	,	,	PUNCT
ejpam-5822	21	32	integral	integral	ADJ
ejpam-5822	21	33	,	,	PUNCT
ejpam-5822	21	34	algebraic	algebraic	ADJ
ejpam-5822	21	35	,	,	PUNCT
ejpam-5822	21	36	and	and	CCONJ
ejpam-5822	21	37	both	both	DET
ejpam-5822	21	38	ordinary	ordinary	ADJ
ejpam-5822	21	39	and	and	CCONJ
ejpam-5822	21	40	partial	partial	ADJ
ejpam-5822	21	41	differential	differential	NOUN
ejpam-5822	21	42	equations	equation	NOUN
ejpam-5822	21	43	,	,	PUNCT
ejpam-5822	21	44	often	often	ADV
ejpam-5822	21	45	in	in	ADP
ejpam-5822	21	46	combination	combination	NOUN
ejpam-5822	21	47	.	.	PUNCT
ejpam-5822	22	1	analytic	analytic	ADJ
ejpam-5822	22	2	methods	method	NOUN
ejpam-5822	22	3	can	can	AUX
ejpam-5822	22	4	not	not	PART
ejpam-5822	22	5	solve	solve	VERB
ejpam-5822	22	6	these	these	DET
ejpam-5822	22	7	types	type	NOUN
ejpam-5822	22	8	of	of	ADP
ejpam-5822	22	9	equations	equation	NOUN
ejpam-5822	22	10	.	.	PUNCT
ejpam-5822	23	1	approximating	approximate	VERB
ejpam-5822	23	2	the	the	DET
ejpam-5822	23	3	roots	root	NOUN
ejpam-5822	23	4	is	be	AUX
ejpam-5822	23	5	a	a	DET
ejpam-5822	23	6	standard	standard	ADJ
ejpam-5822	23	7	technique	technique	NOUN
ejpam-5822	23	8	in	in	ADP
ejpam-5822	23	9	numerical	numerical	ADJ
ejpam-5822	23	10	analysis	analysis	NOUN
ejpam-5822	23	11	.	.	PUNCT
ejpam-5822	24	1	numerical	numerical	ADJ
ejpam-5822	24	2	methods	method	NOUN
ejpam-5822	24	3	are	be	AUX
ejpam-5822	24	4	key	key	ADJ
ejpam-5822	24	5	to	to	ADP
ejpam-5822	24	6	tackling	tackle	VERB
ejpam-5822	24	7	the	the	DET
ejpam-5822	24	8	complexity	complexity	NOUN
ejpam-5822	24	9	of	of	ADP
ejpam-5822	24	10	nonlinear	nonlinear	ADJ
ejpam-5822	24	11	equations	equation	NOUN
ejpam-5822	24	12	.	.	PUNCT
ejpam-5822	25	1	a	a	DET
ejpam-5822	25	2	wealth	wealth	NOUN
ejpam-5822	25	3	of	of	ADP
ejpam-5822	25	4	literature	literature	NOUN
ejpam-5822	25	5	exists	exist	VERB
ejpam-5822	25	6	on	on	ADP
ejpam-5822	25	7	solving	solve	VERB
ejpam-5822	25	8	these	these	DET
ejpam-5822	25	9	equations	equation	NOUN
ejpam-5822	25	10	,	,	PUNCT
ejpam-5822	25	11	including	include	VERB
ejpam-5822	25	12	foundational	foundational	ADJ
ejpam-5822	25	13	works	work	NOUN
ejpam-5822	25	14	by	by	ADP
ejpam-5822	25	15	ostrowski	ostrowski	NOUN
ejpam-5822	25	16	[	[	X
ejpam-5822	25	17	1	1	NUM
ejpam-5822	25	18	]	]	PUNCT
ejpam-5822	25	19	,	,	PUNCT
ejpam-5822	25	20	kung	kung	PROPN
ejpam-5822	25	21	and	and	CCONJ
ejpam-5822	25	22	traub	traub	VERB
ejpam-5822	26	1	[	[	X
ejpam-5822	26	2	2	2	NUM
ejpam-5822	26	3	]	]	PUNCT
ejpam-5822	26	4	,	,	PUNCT
ejpam-5822	26	5	and	and	CCONJ
ejpam-5822	26	6	petković	petković	ADJ
ejpam-5822	27	1	[	[	X
ejpam-5822	27	2	3	3	NUM
ejpam-5822	27	3	]	]	PUNCT
ejpam-5822	27	4	.	.	PUNCT
ejpam-5822	28	1	there	there	PRON
ejpam-5822	28	2	are	be	VERB
ejpam-5822	28	3	two	two	NUM
ejpam-5822	28	4	widely	widely	ADV
ejpam-5822	28	5	used	use	VERB
ejpam-5822	28	6	techniques	technique	NOUN
ejpam-5822	28	7	for	for	ADP
ejpam-5822	28	8	estimating	estimate	VERB
ejpam-5822	28	9	the	the	DET
ejpam-5822	28	10	roots	root	NOUN
ejpam-5822	28	11	of	of	ADP
ejpam-5822	28	12	a	a	DET
ejpam-5822	28	13	nonlinear	nonlinear	ADJ
ejpam-5822	28	14	algebraic	algebraic	ADJ
ejpam-5822	28	15	equation	equation	NOUN
ejpam-5822	28	16	:	:	PUNCT
ejpam-5822	28	17	one	one	NUM
ejpam-5822	28	18	-	-	PUNCT
ejpam-5822	28	19	point	point	NOUN
ejpam-5822	28	20	and	and	CCONJ
ejpam-5822	28	21	multipoint	multipoint	NOUN
ejpam-5822	28	22	iteration	iteration	NOUN
ejpam-5822	28	23	.	.	PUNCT
ejpam-5822	29	1	newton	newton	PROPN
ejpam-5822	29	2	’s	’s	PART
ejpam-5822	29	3	method	method	NOUN
ejpam-5822	29	4	was	be	AUX
ejpam-5822	29	5	first	first	ADV
ejpam-5822	29	6	presented	present	VERB
ejpam-5822	29	7	by	by	ADP
ejpam-5822	29	8	thomas	thomas	PROPN
ejpam-5822	29	9	simpson	simpson	PROPN
ejpam-5822	29	10	in	in	ADP
ejpam-5822	29	11	1740	1740	NUM
ejpam-5822	29	12	as	as	ADP
ejpam-5822	29	13	an	an	DET
ejpam-5822	29	14	iterative	iterative	NOUN
ejpam-5822	29	15	method	method	NOUN
ejpam-5822	29	16	of	of	ADP
ejpam-5822	29	17	solving	solve	VERB
ejpam-5822	29	18	nonlinear	nonlinear	ADJ
ejpam-5822	29	19	equations	equation	NOUN
ejpam-5822	29	20	.	.	PUNCT
ejpam-5822	30	1	newton	newton	PROPN
ejpam-5822	30	2	’s	’s	PART
ejpam-5822	30	3	method	method	NOUN
ejpam-5822	30	4	,	,	PUNCT
ejpam-5822	30	5	known	know	VERB
ejpam-5822	30	6	for	for	ADP
ejpam-5822	30	7	its	its	PRON
ejpam-5822	30	8	one	one	NUM
ejpam-5822	30	9	-	-	PUNCT
ejpam-5822	30	10	point	point	NOUN
ejpam-5822	30	11	iterative	iterative	NOUN
ejpam-5822	30	12	approach	approach	NOUN
ejpam-5822	30	13	,	,	PUNCT
ejpam-5822	30	14	exhibits	exhibit	VERB
ejpam-5822	30	15	quadratic	quadratic	ADJ
ejpam-5822	30	16	convergence	convergence	NOUN
ejpam-5822	30	17	.	.	PUNCT
ejpam-5822	31	1	however	however	ADV
ejpam-5822	31	2	,	,	PUNCT
ejpam-5822	31	3	it	it	PRON
ejpam-5822	31	4	has	have	VERB
ejpam-5822	31	5	limitations	limitation	NOUN
ejpam-5822	31	6	,	,	PUNCT
ejpam-5822	31	7	particularly	particularly	ADV
ejpam-5822	31	8	its	its	PRON
ejpam-5822	31	9	dependence	dependence	NOUN
ejpam-5822	31	10	on	on	ADP
ejpam-5822	31	11	derivative	derivative	ADJ
ejpam-5822	31	12	evaluation	evaluation	NOUN
ejpam-5822	31	13	and	and	CCONJ
ejpam-5822	31	14	the	the	DET
ejpam-5822	31	15	necessity	necessity	NOUN
ejpam-5822	31	16	for	for	ADP
ejpam-5822	31	17	a	a	DET
ejpam-5822	31	18	suitable	suitable	ADJ
ejpam-5822	31	19	initial	initial	ADJ
ejpam-5822	31	20	guess	guess	NOUN
ejpam-5822	31	21	to	to	PART
ejpam-5822	31	22	achieve	achieve	VERB
ejpam-5822	31	23	root	root	NOUN
ejpam-5822	31	24	convergence	convergence	NOUN
ejpam-5822	31	25	.	.	PUNCT
ejpam-5822	32	1	a	a	DET
ejpam-5822	32	2	recent	recent	ADJ
ejpam-5822	32	3	suggestion	suggestion	NOUN
ejpam-5822	32	4	to	to	PART
ejpam-5822	32	5	avoid	avoid	VERB
ejpam-5822	32	6	introducing	introduce	VERB
ejpam-5822	32	7	extra	extra	ADJ
ejpam-5822	32	8	functions	function	NOUN
ejpam-5822	32	9	such	such	ADJ
ejpam-5822	32	10	as	as	ADP
ejpam-5822	32	11	evaluating	evaluate	VERB
ejpam-5822	32	12	first	first	ADJ
ejpam-5822	32	13	or	or	CCONJ
ejpam-5822	32	14	second	second	ADJ
ejpam-5822	32	15	derivatives	derivative	NOUN
ejpam-5822	32	16	,	,	PUNCT
ejpam-5822	32	17	is	be	AUX
ejpam-5822	32	18	to	to	PART
ejpam-5822	32	19	eliminate	eliminate	VERB
ejpam-5822	32	20	derivatives	derivative	NOUN
ejpam-5822	32	21	from	from	ADP
ejpam-5822	32	22	the	the	DET
ejpam-5822	32	23	iteration	iteration	NOUN
ejpam-5822	32	24	process	process	NOUN
ejpam-5822	32	25	.	.	PUNCT
ejpam-5822	33	1	as	as	ADP
ejpam-5822	33	2	an	an	DET
ejpam-5822	33	3	example	example	NOUN
ejpam-5822	33	4	,	,	PUNCT
ejpam-5822	33	5	this	this	DET
ejpam-5822	33	6	approach	approach	NOUN
ejpam-5822	33	7	leads	lead	VERB
ejpam-5822	33	8	to	to	ADP
ejpam-5822	33	9	the	the	DET
ejpam-5822	33	10	familiar	familiar	PROPN
ejpam-5822	33	11	steffensen	steffensen	PROPN
ejpam-5822	33	12	’s	’s	PART
ejpam-5822	33	13	method	method	NOUN
ejpam-5822	33	14	[	[	X
ejpam-5822	33	15	2	2	NUM
ejpam-5822	33	16	]	]	PUNCT
ejpam-5822	33	17	,	,	PUNCT
ejpam-5822	33	18	where	where	SCONJ
ejpam-5822	33	19	the	the	DET
ejpam-5822	33	20	forward	forward	ADJ
ejpam-5822	33	21	difference	difference	NOUN
ejpam-5822	33	22	approximation	approximation	NOUN
ejpam-5822	33	23	g(k	g(k	NOUN
ejpam-5822	33	24	j+g(k	j+g(k	NOUN
ejpam-5822	33	25	j))−g(k	j))−g(k	PROPN
ejpam-5822	33	26	j	j	PROPN
ejpam-5822	33	27	)	)	PUNCT
ejpam-5822	33	28	g(k	g(k	PROPN
ejpam-5822	33	29	j	j	NOUN
ejpam-5822	33	30	)	)	PUNCT
ejpam-5822	33	31	substitutes	substitute	VERB
ejpam-5822	33	32	the	the	DET
ejpam-5822	33	33	first	first	ADJ
ejpam-5822	33	34	-	-	PUNCT
ejpam-5822	33	35	order	order	NOUN
ejpam-5822	33	36	derivative	derivative	ADJ
ejpam-5822	33	37	g′(kn	g′(kn	PROPN
ejpam-5822	33	38	)	)	PUNCT
ejpam-5822	33	39	in	in	ADP
ejpam-5822	33	40	newton	newton	PROPN
ejpam-5822	33	41	’s	’s	PART
ejpam-5822	33	42	method	method	NOUN
ejpam-5822	33	43	as	as	SCONJ
ejpam-5822	33	44	follow	follow	VERB
ejpam-5822	33	45	:	:	PUNCT
ejpam-5822	34	1	k	k	X
ejpam-5822	34	2	j+1	j+1	X
ejpam-5822	35	1	=	=	PUNCT
ejpam-5822	35	2	k	k	PROPN
ejpam-5822	35	3	j	j	PROPN
ejpam-5822	35	4	−	−	PROPN
ejpam-5822	35	5	g(k	g(k	PROPN
ejpam-5822	35	6	j	j	PROPN
ejpam-5822	35	7	)	)	PUNCT
ejpam-5822	35	8	g[k	g[k	PROPN
ejpam-5822	35	9	j	j	PROPN
ejpam-5822	35	10	,	,	PUNCT
ejpam-5822	35	11	v	v	PROPN
ejpam-5822	35	12	j	j	X
ejpam-5822	35	13	]	]	PUNCT
ejpam-5822	35	14	,	,	PUNCT
ejpam-5822	35	15	where	where	SCONJ
ejpam-5822	35	16	v	v	X
ejpam-5822	35	17	j	j	PROPN
ejpam-5822	35	18	=	=	SYM
ejpam-5822	35	19	k	k	PROPN
ejpam-5822	35	20	j	j	PROPN
ejpam-5822	35	21	+	+	CCONJ
ejpam-5822	35	22	g(k	g(k	PROPN
ejpam-5822	35	23	j	j	NOUN
ejpam-5822	35	24	)	)	PUNCT
ejpam-5822	35	25	and	and	CCONJ
ejpam-5822	35	26	g[k	g[k	PROPN
ejpam-5822	35	27	j	j	PROPN
ejpam-5822	35	28	,	,	PUNCT
ejpam-5822	35	29	v	v	PROPN
ejpam-5822	35	30	j	j	X
ejpam-5822	35	31	]	]	X
ejpam-5822	35	32	=	=	SYM
ejpam-5822	35	33	g(v	g(v	PROPN
ejpam-5822	35	34	j)−g(k	j)−g(k	PROPN
ejpam-5822	35	35	j	j	NOUN
ejpam-5822	35	36	)	)	PUNCT
ejpam-5822	35	37	v	v	ADP
ejpam-5822	35	38	j−k	j−k	VERB
ejpam-5822	35	39	j	j	NOUN
ejpam-5822	35	40	is	be	AUX
ejpam-5822	35	41	the	the	DET
ejpam-5822	35	42	divided	divided	ADJ
ejpam-5822	35	43	difference	difference	NOUN
ejpam-5822	35	44	of	of	ADP
ejpam-5822	35	45	first	first	ADJ
ejpam-5822	35	46	order	order	NOUN
ejpam-5822	35	47	.	.	PUNCT
ejpam-5822	36	1	both	both	CCONJ
ejpam-5822	36	2	the	the	DET
ejpam-5822	36	3	steffensen	steffensen	NOUN
ejpam-5822	36	4	approach	approach	NOUN
ejpam-5822	36	5	and	and	CCONJ
ejpam-5822	36	6	the	the	DET
ejpam-5822	36	7	newton	newton	PROPN
ejpam-5822	36	8	method	method	NOUN
ejpam-5822	36	9	acquire	acquire	VERB
ejpam-5822	36	10	two	two	NUM
ejpam-5822	36	11	function	function	NOUN
ejpam-5822	36	12	evaluations	evaluation	NOUN
ejpam-5822	36	13	and	and	CCONJ
ejpam-5822	36	14	converge	converge	VERB
ejpam-5822	36	15	quadratically	quadratically	ADV
ejpam-5822	36	16	.	.	PUNCT
ejpam-5822	37	1	kung	kung	PROPN
ejpam-5822	37	2	and	and	CCONJ
ejpam-5822	37	3	traub	traub	PROPN
ejpam-5822	37	4	’s	’s	PART
ejpam-5822	37	5	conjecture	conjecture	NOUN
ejpam-5822	38	1	[	[	X
ejpam-5822	38	2	2	2	NUM
ejpam-5822	38	3	]	]	PUNCT
ejpam-5822	38	4	,	,	PUNCT
ejpam-5822	38	5	posits	posit	VERB
ejpam-5822	38	6	that	that	SCONJ
ejpam-5822	38	7	any	any	PRON
ejpam-5822	38	8	without	without	ADP
ejpam-5822	38	9	memory	memory	NOUN
ejpam-5822	38	10	multipoint	multipoint	NOUN
ejpam-5822	38	11	iterative	iterative	NOUN
ejpam-5822	38	12	method	method	NOUN
ejpam-5822	38	13	has	have	AUX
ejpam-5822	38	14	convergence	convergence	NOUN
ejpam-5822	38	15	order	order	NOUN
ejpam-5822	38	16	can	can	AUX
ejpam-5822	38	17	not	not	PART
ejpam-5822	38	18	surpass	surpass	VERB
ejpam-5822	38	19	the	the	DET
ejpam-5822	38	20	upper	upper	ADJ
ejpam-5822	38	21	limit	limit	NOUN
ejpam-5822	38	22	of	of	ADP
ejpam-5822	38	23	2n−1	2n−1	NUM
ejpam-5822	38	24	,	,	PUNCT
ejpam-5822	38	25	limited	limit	VERB
ejpam-5822	38	26	to	to	ADP
ejpam-5822	38	27	n	n	NUM
ejpam-5822	38	28	function	function	NOUN
ejpam-5822	38	29	evaluations	evaluation	NOUN
ejpam-5822	38	30	.	.	PUNCT
ejpam-5822	39	1	with	with	ADP
ejpam-5822	39	2	advances	advance	NOUN
ejpam-5822	39	3	in	in	ADP
ejpam-5822	39	4	digital	digital	ADJ
ejpam-5822	39	5	computers	computer	NOUN
ejpam-5822	39	6	,	,	PUNCT
ejpam-5822	39	7	arithmetic	arithmetic	ADJ
ejpam-5822	39	8	,	,	PUNCT
ejpam-5822	39	9	and	and	CCONJ
ejpam-5822	39	10	symbolic	symbolic	ADJ
ejpam-5822	39	11	computing	computing	NOUN
ejpam-5822	39	12	,	,	PUNCT
ejpam-5822	39	13	higherorder	higherorder	NOUN
ejpam-5822	39	14	multipoint	multipoint	NOUN
ejpam-5822	39	15	methods	method	NOUN
ejpam-5822	39	16	have	have	AUX
ejpam-5822	39	17	gained	gain	VERB
ejpam-5822	39	18	popularity	popularity	NOUN
ejpam-5822	39	19	.	.	PUNCT
ejpam-5822	40	1	these	these	DET
ejpam-5822	40	2	methods	method	NOUN
ejpam-5822	40	3	offer	offer	VERB
ejpam-5822	40	4	more	more	ADV
ejpam-5822	40	5	accurate	accurate	ADJ
ejpam-5822	40	6	and	and	CCONJ
ejpam-5822	40	7	efficient	efficient	ADJ
ejpam-5822	40	8	root	root	NOUN
ejpam-5822	40	9	estimates	estimate	NOUN
ejpam-5822	40	10	in	in	ADP
ejpam-5822	40	11	fewer	few	ADJ
ejpam-5822	40	12	iterations	iteration	NOUN
ejpam-5822	40	13	,	,	PUNCT
ejpam-5822	40	14	with	with	ADP
ejpam-5822	40	15	an	an	DET
ejpam-5822	40	16	efficiency	efficiency	NOUN
ejpam-5822	40	17	index	index	NOUN
ejpam-5822	40	18	[	[	X
ejpam-5822	40	19	4	4	NUM
ejpam-5822	40	20	]	]	X
ejpam-5822	40	21	superior	superior	ADJ
ejpam-5822	40	22	to	to	ADP
ejpam-5822	40	23	that	that	PRON
ejpam-5822	40	24	of	of	ADP
ejpam-5822	40	25	newton	newton	PROPN
ejpam-5822	40	26	’s	’s	PART
ejpam-5822	40	27	method	method	NOUN
ejpam-5822	40	28	.	.	PUNCT
ejpam-5822	41	1	techniques	technique	NOUN
ejpam-5822	41	2	such	such	ADJ
ejpam-5822	41	3	as	as	ADP
ejpam-5822	41	4	weight	weight	NOUN
ejpam-5822	41	5	functions	function	NOUN
ejpam-5822	41	6	,	,	PUNCT
ejpam-5822	41	7	taylor	taylor	PROPN
ejpam-5822	41	8	expansions	expansion	NOUN
ejpam-5822	41	9	,	,	PUNCT
ejpam-5822	41	10	and	and	CCONJ
ejpam-5822	41	11	dynamical	dynamical	ADJ
ejpam-5822	41	12	analysis	analysis	NOUN
ejpam-5822	41	13	have	have	AUX
ejpam-5822	41	14	played	play	VERB
ejpam-5822	41	15	a	a	DET
ejpam-5822	41	16	key	key	ADJ
ejpam-5822	41	17	role	role	NOUN
ejpam-5822	41	18	in	in	ADP
ejpam-5822	41	19	developing	develop	VERB
ejpam-5822	41	20	both	both	CCONJ
ejpam-5822	41	21	optimal	optimal	ADJ
ejpam-5822	41	22	and	and	CCONJ
ejpam-5822	41	23	non	non	ADJ
ejpam-5822	41	24	-	-	ADJ
ejpam-5822	41	25	optimal	optimal	ADJ
ejpam-5822	41	26	multipoint	multipoint	NOUN
ejpam-5822	41	27	methods	method	NOUN
ejpam-5822	41	28	with	with	ADP
ejpam-5822	41	29	convergence	convergence	NOUN
ejpam-5822	41	30	orders	order	NOUN
ejpam-5822	41	31	up	up	ADP
ejpam-5822	41	32	to	to	PART
ejpam-5822	41	33	eight	eight	NUM
ejpam-5822	42	1	[	[	X
ejpam-5822	42	2	5–17	5–17	NUM
ejpam-5822	42	3	]	]	PUNCT
ejpam-5822	42	4	.	.	PUNCT
ejpam-5822	43	1	despite	despite	SCONJ
ejpam-5822	43	2	these	these	DET
ejpam-5822	43	3	advancements	advancement	NOUN
ejpam-5822	43	4	,	,	PUNCT
ejpam-5822	43	5	achieving	achieve	VERB
ejpam-5822	43	6	optimal	optimal	ADJ
ejpam-5822	43	7	four	four	NUM
ejpam-5822	43	8	-	-	PUNCT
ejpam-5822	43	9	point	point	NOUN
ejpam-5822	43	10	methods	method	NOUN
ejpam-5822	43	11	remains	remain	VERB
ejpam-5822	43	12	a	a	DET
ejpam-5822	43	13	s.	s.	PROPN
ejpam-5822	43	14	akram	akram	PROPN
ejpam-5822	43	15	et	et	PROPN
ejpam-5822	43	16	al	al	PROPN
ejpam-5822	43	17	.	.	PUNCT
ejpam-5822	43	18	/	/	SYM
ejpam-5822	43	19	eur	eur	PROPN
ejpam-5822	43	20	.	.	PUNCT
ejpam-5822	44	1	j.	j.	PROPN
ejpam-5822	44	2	pure	pure	PROPN
ejpam-5822	44	3	appl	appl	PROPN
ejpam-5822	44	4	.	.	PROPN
ejpam-5822	44	5	math	math	PROPN
ejpam-5822	44	6	,	,	PUNCT
ejpam-5822	44	7	18	18	NUM
ejpam-5822	44	8	(	(	PUNCT
ejpam-5822	44	9	2	2	NUM
ejpam-5822	44	10	)	)	PUNCT
ejpam-5822	44	11	(	(	PUNCT
ejpam-5822	44	12	2025	2025	NUM
ejpam-5822	44	13	)	)	PUNCT
ejpam-5822	44	14	,	,	PUNCT
ejpam-5822	44	15	5822	5822	NUM
ejpam-5822	44	16	3	3	NUM
ejpam-5822	44	17	of	of	ADP
ejpam-5822	44	18	26	26	NUM
ejpam-5822	44	19	significant	significant	ADJ
ejpam-5822	44	20	challenge	challenge	NOUN
ejpam-5822	44	21	and	and	CCONJ
ejpam-5822	44	22	an	an	DET
ejpam-5822	44	23	area	area	NOUN
ejpam-5822	44	24	of	of	ADP
ejpam-5822	44	25	ongoing	ongoing	ADJ
ejpam-5822	44	26	research	research	NOUN
ejpam-5822	44	27	.	.	PUNCT
ejpam-5822	45	1	some	some	DET
ejpam-5822	45	2	optimal	optimal	ADJ
ejpam-5822	45	3	sixteenth	sixteenth	ADJ
ejpam-5822	45	4	-	-	PUNCT
ejpam-5822	45	5	order	order	NOUN
ejpam-5822	45	6	methods	method	NOUN
ejpam-5822	45	7	for	for	ADP
ejpam-5822	45	8	solving	solve	VERB
ejpam-5822	45	9	nonlinear	nonlinear	ADJ
ejpam-5822	45	10	equations	equation	NOUN
ejpam-5822	45	11	have	have	AUX
ejpam-5822	45	12	been	be	AUX
ejpam-5822	45	13	developed	develop	VERB
ejpam-5822	45	14	by	by	ADP
ejpam-5822	45	15	several	several	ADJ
ejpam-5822	45	16	researchers	researcher	NOUN
ejpam-5822	45	17	(	(	PUNCT
ejpam-5822	45	18	for	for	ADP
ejpam-5822	45	19	example	example	NOUN
ejpam-5822	45	20	see	see	VERB
ejpam-5822	45	21	,	,	PUNCT
ejpam-5822	45	22	[	[	X
ejpam-5822	45	23	18	18	NUM
ejpam-5822	45	24	–	–	PUNCT
ejpam-5822	45	25	25	25	NUM
ejpam-5822	45	26	]	]	PUNCT
ejpam-5822	45	27	)	)	PUNCT
ejpam-5822	45	28	.	.	PUNCT
ejpam-5822	46	1	while	while	SCONJ
ejpam-5822	46	2	most	most	ADJ
ejpam-5822	46	3	of	of	ADP
ejpam-5822	46	4	these	these	DET
ejpam-5822	46	5	methods	method	NOUN
ejpam-5822	46	6	achieve	achieve	VERB
ejpam-5822	46	7	high	high	ADJ
ejpam-5822	46	8	convergence	convergence	NOUN
ejpam-5822	46	9	orders	order	NOUN
ejpam-5822	46	10	,	,	PUNCT
ejpam-5822	46	11	they	they	PRON
ejpam-5822	46	12	often	often	ADV
ejpam-5822	46	13	rely	rely	VERB
ejpam-5822	46	14	on	on	ADP
ejpam-5822	46	15	derivative	derivative	ADJ
ejpam-5822	46	16	evaluations	evaluation	NOUN
ejpam-5822	46	17	,	,	PUNCT
ejpam-5822	46	18	which	which	PRON
ejpam-5822	46	19	are	be	AUX
ejpam-5822	46	20	computationally	computationally	ADV
ejpam-5822	46	21	intensive	intensive	ADJ
ejpam-5822	46	22	and	and	CCONJ
ejpam-5822	46	23	not	not	PART
ejpam-5822	46	24	always	always	ADV
ejpam-5822	46	25	feasible	feasible	ADJ
ejpam-5822	46	26	for	for	ADP
ejpam-5822	46	27	all	all	DET
ejpam-5822	46	28	problems	problem	NOUN
ejpam-5822	46	29	.	.	PUNCT
ejpam-5822	47	1	these	these	DET
ejpam-5822	47	2	challanges	challange	NOUN
ejpam-5822	47	3	inspired	inspire	VERB
ejpam-5822	47	4	us	we	PRON
ejpam-5822	47	5	to	to	PART
ejpam-5822	47	6	create	create	VERB
ejpam-5822	47	7	a	a	DET
ejpam-5822	47	8	novel	novel	ADJ
ejpam-5822	47	9	four	four	NUM
ejpam-5822	47	10	-	-	PUNCT
ejpam-5822	47	11	point	point	NOUN
ejpam-5822	47	12	optimal	optimal	ADJ
ejpam-5822	47	13	iterative	iterative	NOUN
ejpam-5822	47	14	approach	approach	NOUN
ejpam-5822	47	15	based	base	VERB
ejpam-5822	47	16	on	on	ADP
ejpam-5822	47	17	the	the	DET
ejpam-5822	47	18	weighted	weighted	ADJ
ejpam-5822	47	19	family	family	NOUN
ejpam-5822	47	20	of	of	ADP
ejpam-5822	47	21	steffensen	steffensen	NOUN
ejpam-5822	47	22	-	-	PUNCT
ejpam-5822	47	23	ostrowski	ostrowski	NOUN
ejpam-5822	47	24	type	type	NOUN
ejpam-5822	47	25	.	.	PUNCT
ejpam-5822	48	1	it	it	PRON
ejpam-5822	48	2	requires	require	VERB
ejpam-5822	48	3	five	five	NUM
ejpam-5822	48	4	functional	functional	ADJ
ejpam-5822	48	5	evaluations	evaluation	NOUN
ejpam-5822	48	6	and	and	CCONJ
ejpam-5822	48	7	gives	give	VERB
ejpam-5822	48	8	sixteenth	sixteenth	ADJ
ejpam-5822	48	9	-	-	PUNCT
ejpam-5822	48	10	order	order	NOUN
ejpam-5822	48	11	convergence	convergence	NOUN
ejpam-5822	48	12	per	per	ADP
ejpam-5822	48	13	iteration	iteration	NOUN
ejpam-5822	48	14	.	.	PUNCT
ejpam-5822	49	1	the	the	DET
ejpam-5822	49	2	first	first	ADJ
ejpam-5822	49	3	two	two	NUM
ejpam-5822	49	4	step	step	NOUN
ejpam-5822	49	5	of	of	ADP
ejpam-5822	49	6	the	the	DET
ejpam-5822	49	7	suggested	suggest	VERB
ejpam-5822	49	8	method	method	NOUN
ejpam-5822	49	9	is	be	AUX
ejpam-5822	49	10	ostrowski	ostrowski	NOUN
ejpam-5822	49	11	’s	’s	PART
ejpam-5822	49	12	method	method	NOUN
ejpam-5822	49	13	and	and	CCONJ
ejpam-5822	49	14	third	third	ADJ
ejpam-5822	49	15	step	step	NOUN
ejpam-5822	49	16	is	be	AUX
ejpam-5822	49	17	constructed	construct	VERB
ejpam-5822	49	18	by	by	ADP
ejpam-5822	49	19	using	use	VERB
ejpam-5822	49	20	the	the	DET
ejpam-5822	49	21	bivariate	bivariate	ADJ
ejpam-5822	49	22	weight	weight	NOUN
ejpam-5822	49	23	function	function	NOUN
ejpam-5822	49	24	.	.	PUNCT
ejpam-5822	50	1	for	for	ADP
ejpam-5822	50	2	the	the	DET
ejpam-5822	50	3	construction	construction	NOUN
ejpam-5822	50	4	of	of	ADP
ejpam-5822	50	5	the	the	DET
ejpam-5822	50	6	fourth	fourth	ADJ
ejpam-5822	50	7	step	step	NOUN
ejpam-5822	50	8	,	,	PUNCT
ejpam-5822	50	9	lagrange	lagrange	NOUN
ejpam-5822	50	10	interpolation	interpolation	NOUN
ejpam-5822	50	11	technique	technique	NOUN
ejpam-5822	50	12	has	have	AUX
ejpam-5822	50	13	been	be	AUX
ejpam-5822	50	14	used	use	VERB
ejpam-5822	50	15	.	.	PUNCT
ejpam-5822	51	1	lagrange	lagrange	NOUN
ejpam-5822	51	2	interpolation	interpolation	NOUN
ejpam-5822	51	3	is	be	AUX
ejpam-5822	51	4	highly	highly	ADV
ejpam-5822	51	5	advantageous	advantageous	ADJ
ejpam-5822	51	6	for	for	ADP
ejpam-5822	51	7	its	its	PRON
ejpam-5822	51	8	simplicity	simplicity	NOUN
ejpam-5822	51	9	,	,	PUNCT
ejpam-5822	51	10	derivative	derivative	ADJ
ejpam-5822	51	11	-	-	PUNCT
ejpam-5822	51	12	free	free	ADJ
ejpam-5822	51	13	formulation	formulation	NOUN
ejpam-5822	51	14	,	,	PUNCT
ejpam-5822	51	15	and	and	CCONJ
ejpam-5822	51	16	flexibility	flexibility	NOUN
ejpam-5822	51	17	in	in	ADP
ejpam-5822	51	18	node	node	ADJ
ejpam-5822	51	19	selection	selection	NOUN
ejpam-5822	51	20	,	,	PUNCT
ejpam-5822	51	21	making	make	VERB
ejpam-5822	51	22	it	it	PRON
ejpam-5822	51	23	efficient	efficient	ADJ
ejpam-5822	51	24	for	for	ADP
ejpam-5822	51	25	improving	improve	VERB
ejpam-5822	51	26	iterative	iterative	NOUN
ejpam-5822	51	27	methods	method	NOUN
ejpam-5822	51	28	for	for	ADP
ejpam-5822	51	29	nonlinear	nonlinear	ADJ
ejpam-5822	51	30	equations	equation	NOUN
ejpam-5822	51	31	.	.	PUNCT
ejpam-5822	52	1	this	this	DET
ejpam-5822	52	2	work	work	NOUN
ejpam-5822	52	3	aims	aim	VERB
ejpam-5822	52	4	to	to	PART
ejpam-5822	52	5	satisfy	satisfy	VERB
ejpam-5822	52	6	the	the	DET
ejpam-5822	52	7	kung	kung	NOUN
ejpam-5822	52	8	and	and	CCONJ
ejpam-5822	52	9	traub	traub	NOUN
ejpam-5822	52	10	conjecture	conjecture	NOUN
ejpam-5822	52	11	by	by	ADP
ejpam-5822	52	12	achieving	achieve	VERB
ejpam-5822	52	13	optimal	optimal	ADJ
ejpam-5822	52	14	sixteenth	sixteenth	ADJ
ejpam-5822	52	15	order	order	NOUN
ejpam-5822	52	16	convergence	convergence	NOUN
ejpam-5822	52	17	supported	support	VERB
ejpam-5822	52	18	by	by	ADP
ejpam-5822	52	19	an	an	DET
ejpam-5822	52	20	extensive	extensive	ADJ
ejpam-5822	52	21	convergence	convergence	NOUN
ejpam-5822	52	22	analysis	analysis	NOUN
ejpam-5822	52	23	.	.	PUNCT
ejpam-5822	53	1	to	to	PART
ejpam-5822	53	2	evaluate	evaluate	VERB
ejpam-5822	53	3	its	its	PRON
ejpam-5822	53	4	accuracy	accuracy	NOUN
ejpam-5822	53	5	and	and	CCONJ
ejpam-5822	53	6	effectiveness	effectiveness	NOUN
ejpam-5822	53	7	,	,	PUNCT
ejpam-5822	53	8	the	the	DET
ejpam-5822	53	9	proposed	propose	VERB
ejpam-5822	53	10	approach	approach	NOUN
ejpam-5822	53	11	is	be	AUX
ejpam-5822	53	12	tested	test	VERB
ejpam-5822	53	13	on	on	ADP
ejpam-5822	53	14	real	real	ADJ
ejpam-5822	53	15	-	-	PUNCT
ejpam-5822	53	16	world	world	NOUN
ejpam-5822	53	17	problems	problem	NOUN
ejpam-5822	53	18	,	,	PUNCT
ejpam-5822	53	19	including	include	VERB
ejpam-5822	53	20	kepler	kepler	PROPN
ejpam-5822	53	21	’s	’s	PART
ejpam-5822	53	22	equation	equation	NOUN
ejpam-5822	53	23	of	of	ADP
ejpam-5822	53	24	celestial	celestial	ADJ
ejpam-5822	53	25	motion	motion	NOUN
ejpam-5822	53	26	,	,	PUNCT
ejpam-5822	53	27	an	an	DET
ejpam-5822	53	28	ideally	ideally	ADV
ejpam-5822	53	29	mixed	mixed	ADJ
ejpam-5822	53	30	reactor	reactor	NOUN
ejpam-5822	53	31	,	,	PUNCT
ejpam-5822	53	32	predator	predator	NOUN
ejpam-5822	53	33	-	-	PUNCT
ejpam-5822	53	34	prey	prey	NOUN
ejpam-5822	53	35	models	model	NOUN
ejpam-5822	53	36	,	,	PUNCT
ejpam-5822	53	37	neural	neural	ADJ
ejpam-5822	53	38	activation	activation	NOUN
ejpam-5822	53	39	dynamics	dynamic	NOUN
ejpam-5822	53	40	,	,	PUNCT
ejpam-5822	53	41	and	and	CCONJ
ejpam-5822	53	42	periodic	periodic	ADJ
ejpam-5822	53	43	ecosystem	ecosystem	NOUN
ejpam-5822	53	44	growth	growth	NOUN
ejpam-5822	53	45	.	.	PUNCT
ejpam-5822	54	1	numerical	numerical	ADJ
ejpam-5822	54	2	results	result	NOUN
ejpam-5822	54	3	demonstrate	demonstrate	VERB
ejpam-5822	54	4	the	the	DET
ejpam-5822	54	5	superiority	superiority	NOUN
ejpam-5822	54	6	of	of	ADP
ejpam-5822	54	7	the	the	DET
ejpam-5822	54	8	proposed	propose	VERB
ejpam-5822	54	9	scheme	scheme	NOUN
ejpam-5822	54	10	over	over	ADP
ejpam-5822	54	11	existing	exist	VERB
ejpam-5822	54	12	four	four	NUM
ejpam-5822	54	13	-	-	PUNCT
ejpam-5822	54	14	point	point	NOUN
ejpam-5822	54	15	iterative	iterative	NOUN
ejpam-5822	54	16	methods	method	NOUN
ejpam-5822	54	17	,	,	PUNCT
ejpam-5822	54	18	particularly	particularly	ADV
ejpam-5822	54	19	in	in	ADP
ejpam-5822	54	20	terms	term	NOUN
ejpam-5822	54	21	of	of	ADP
ejpam-5822	54	22	absolute	absolute	ADJ
ejpam-5822	54	23	error	error	NOUN
ejpam-5822	54	24	and	and	CCONJ
ejpam-5822	54	25	convergence	convergence	NOUN
ejpam-5822	54	26	order	order	NOUN
ejpam-5822	54	27	.	.	PUNCT
ejpam-5822	55	1	additionally	additionally	ADV
ejpam-5822	55	2	,	,	PUNCT
ejpam-5822	55	3	graphical	graphical	ADJ
ejpam-5822	55	4	analysis	analysis	NOUN
ejpam-5822	55	5	of	of	ADP
ejpam-5822	55	6	complex	complex	ADJ
ejpam-5822	55	7	polynomials	polynomial	NOUN
ejpam-5822	55	8	shows	show	VERB
ejpam-5822	55	9	the	the	DET
ejpam-5822	55	10	algorithm	algorithm	NOUN
ejpam-5822	55	11	’s	’s	PART
ejpam-5822	55	12	attraction	attraction	NOUN
ejpam-5822	55	13	basins	basin	NOUN
ejpam-5822	55	14	.	.	PUNCT
ejpam-5822	56	1	this	this	DET
ejpam-5822	56	2	analysis	analysis	NOUN
ejpam-5822	56	3	illustrating	illustrate	VERB
ejpam-5822	56	4	that	that	SCONJ
ejpam-5822	56	5	it	it	PRON
ejpam-5822	56	6	converges	converge	VERB
ejpam-5822	56	7	efficiently	efficiently	ADV
ejpam-5822	56	8	to	to	ADP
ejpam-5822	56	9	the	the	DET
ejpam-5822	56	10	specified	specify	VERB
ejpam-5822	56	11	root	root	NOUN
ejpam-5822	56	12	from	from	ADP
ejpam-5822	56	13	a	a	DET
ejpam-5822	56	14	wide	wide	ADJ
ejpam-5822	56	15	range	range	NOUN
ejpam-5822	56	16	of	of	ADP
ejpam-5822	56	17	initial	initial	ADJ
ejpam-5822	56	18	guesses	guess	NOUN
ejpam-5822	56	19	,	,	PUNCT
ejpam-5822	56	20	with	with	ADP
ejpam-5822	56	21	improved	improved	ADJ
ejpam-5822	56	22	stability	stability	NOUN
ejpam-5822	56	23	and	and	CCONJ
ejpam-5822	56	24	minimum	minimum	ADJ
ejpam-5822	56	25	divergence	divergence	NOUN
ejpam-5822	56	26	.	.	PUNCT
ejpam-5822	57	1	the	the	DET
ejpam-5822	57	2	proposed	propose	VERB
ejpam-5822	57	3	derivative	derivative	ADJ
ejpam-5822	57	4	-	-	PUNCT
ejpam-5822	57	5	free	free	ADJ
ejpam-5822	57	6	scheme	scheme	NOUN
ejpam-5822	57	7	is	be	AUX
ejpam-5822	57	8	more	more	ADV
ejpam-5822	57	9	general	general	ADJ
ejpam-5822	57	10	than	than	ADP
ejpam-5822	57	11	existing	exist	VERB
ejpam-5822	57	12	methods	method	NOUN
ejpam-5822	57	13	in	in	ADP
ejpam-5822	57	14	the	the	DET
ejpam-5822	57	15	literature	literature	NOUN
ejpam-5822	57	16	and	and	CCONJ
ejpam-5822	57	17	offers	offer	VERB
ejpam-5822	57	18	a	a	DET
ejpam-5822	57	19	promising	promising	ADJ
ejpam-5822	57	20	alternative	alternative	NOUN
ejpam-5822	57	21	in	in	ADP
ejpam-5822	57	22	the	the	DET
ejpam-5822	57	23	cases	case	NOUN
ejpam-5822	57	24	where	where	SCONJ
ejpam-5822	57	25	derivatives	derivative	NOUN
ejpam-5822	57	26	does	do	AUX
ejpam-5822	57	27	not	not	PART
ejpam-5822	57	28	exist	exist	VERB
ejpam-5822	57	29	.	.	PUNCT
ejpam-5822	58	1	the	the	DET
ejpam-5822	58	2	rest	rest	NOUN
ejpam-5822	58	3	of	of	ADP
ejpam-5822	58	4	the	the	DET
ejpam-5822	58	5	paper	paper	NOUN
ejpam-5822	58	6	is	be	AUX
ejpam-5822	58	7	designed	design	VERB
ejpam-5822	58	8	as	as	ADP
ejpam-5822	58	9	:	:	PUNCT
ejpam-5822	58	10	the	the	DET
ejpam-5822	58	11	formulation	formulation	NOUN
ejpam-5822	58	12	of	of	ADP
ejpam-5822	58	13	a	a	DET
ejpam-5822	58	14	four	four	NUM
ejpam-5822	58	15	-	-	PUNCT
ejpam-5822	58	16	point	point	NOUN
ejpam-5822	58	17	iterative	iterative	NOUN
ejpam-5822	58	18	method	method	NOUN
ejpam-5822	58	19	along	along	ADP
ejpam-5822	58	20	with	with	ADP
ejpam-5822	58	21	the	the	DET
ejpam-5822	58	22	analysis	analysis	NOUN
ejpam-5822	58	23	of	of	ADP
ejpam-5822	58	24	convergence	convergence	NOUN
ejpam-5822	58	25	is	be	AUX
ejpam-5822	58	26	presented	present	VERB
ejpam-5822	58	27	in	in	ADP
ejpam-5822	58	28	section	section	NOUN
ejpam-5822	58	29	2	2	NUM
ejpam-5822	58	30	.	.	PUNCT
ejpam-5822	59	1	some	some	DET
ejpam-5822	59	2	particular	particular	ADJ
ejpam-5822	59	3	cases	case	NOUN
ejpam-5822	59	4	of	of	ADP
ejpam-5822	59	5	weight	weight	NOUN
ejpam-5822	59	6	functions	function	NOUN
ejpam-5822	59	7	are	be	AUX
ejpam-5822	59	8	discussed	discuss	VERB
ejpam-5822	59	9	in	in	ADP
ejpam-5822	59	10	section	section	NOUN
ejpam-5822	59	11	3	3	NUM
ejpam-5822	59	12	.	.	PUNCT
ejpam-5822	59	13	standard	standard	ADJ
ejpam-5822	59	14	test	test	NOUN
ejpam-5822	59	15	functions	function	NOUN
ejpam-5822	59	16	and	and	CCONJ
ejpam-5822	59	17	numerical	numerical	ADJ
ejpam-5822	59	18	experimentation	experimentation	NOUN
ejpam-5822	59	19	along	along	ADP
ejpam-5822	59	20	with	with	ADP
ejpam-5822	59	21	the	the	DET
ejpam-5822	59	22	comparison	comparison	NOUN
ejpam-5822	59	23	of	of	ADP
ejpam-5822	59	24	the	the	DET
ejpam-5822	59	25	developed	develop	VERB
ejpam-5822	59	26	methods	method	NOUN
ejpam-5822	59	27	with	with	ADP
ejpam-5822	59	28	existing	exist	VERB
ejpam-5822	59	29	methods	method	NOUN
ejpam-5822	59	30	of	of	ADP
ejpam-5822	59	31	equivalent	equivalent	ADJ
ejpam-5822	59	32	order	order	NOUN
ejpam-5822	59	33	are	be	AUX
ejpam-5822	59	34	depicted	depict	VERB
ejpam-5822	59	35	in	in	ADP
ejpam-5822	59	36	section	section	NOUN
ejpam-5822	59	37	4	4	NUM
ejpam-5822	59	38	.	.	PUNCT
ejpam-5822	60	1	in	in	ADP
ejpam-5822	60	2	section	section	NOUN
ejpam-5822	60	3	5	5	NUM
ejpam-5822	60	4	,	,	PUNCT
ejpam-5822	60	5	a	a	DET
ejpam-5822	60	6	detailed	detailed	ADJ
ejpam-5822	60	7	dynamical	dynamical	ADJ
ejpam-5822	60	8	analysis	analysis	NOUN
ejpam-5822	60	9	of	of	ADP
ejpam-5822	60	10	the	the	DET
ejpam-5822	60	11	presented	present	VERB
ejpam-5822	60	12	approaches	approach	NOUN
ejpam-5822	60	13	in	in	ADP
ejpam-5822	60	14	a	a	DET
ejpam-5822	60	15	complex	complex	ADJ
ejpam-5822	60	16	plane	plane	NOUN
ejpam-5822	60	17	is	be	AUX
ejpam-5822	60	18	demonstrated	demonstrate	VERB
ejpam-5822	60	19	using	use	VERB
ejpam-5822	60	20	a	a	DET
ejpam-5822	60	21	graphical	graphical	ADJ
ejpam-5822	60	22	tool	tool	NOUN
ejpam-5822	60	23	basins	basin	NOUN
ejpam-5822	60	24	of	of	ADP
ejpam-5822	60	25	attraction	attraction	NOUN
ejpam-5822	60	26	.	.	PUNCT
ejpam-5822	61	1	finally	finally	ADV
ejpam-5822	61	2	,	,	PUNCT
ejpam-5822	61	3	concluding	conclude	VERB
ejpam-5822	61	4	remarks	remark	NOUN
ejpam-5822	61	5	are	be	AUX
ejpam-5822	61	6	given	give	VERB
ejpam-5822	61	7	in	in	ADP
ejpam-5822	61	8	section	section	NOUN
ejpam-5822	61	9	6	6	NUM
ejpam-5822	61	10	.	.	NOUN
ejpam-5822	61	11	2	2	NUM
ejpam-5822	61	12	.	.	X
ejpam-5822	61	13	a	a	DET
ejpam-5822	61	14	formulation	formulation	NOUN
ejpam-5822	61	15	of	of	ADP
ejpam-5822	61	16	optimal	optimal	ADJ
ejpam-5822	61	17	sixteenth	sixteenth	ADJ
ejpam-5822	61	18	-	-	PUNCT
ejpam-5822	61	19	order	order	NOUN
ejpam-5822	61	20	scheme	scheme	NOUN
ejpam-5822	61	21	using	use	VERB
ejpam-5822	61	22	lagrange	lagrange	NOUN
ejpam-5822	61	23	interpolation	interpolation	NOUN
ejpam-5822	61	24	in	in	ADP
ejpam-5822	61	25	this	this	DET
ejpam-5822	61	26	section	section	NOUN
ejpam-5822	61	27	,	,	PUNCT
ejpam-5822	61	28	an	an	DET
ejpam-5822	61	29	optimal	optimal	ADJ
ejpam-5822	61	30	iterative	iterative	NOUN
ejpam-5822	61	31	scheme	scheme	NOUN
ejpam-5822	61	32	has	have	AUX
ejpam-5822	61	33	been	be	AUX
ejpam-5822	61	34	presented	present	VERB
ejpam-5822	61	35	which	which	PRON
ejpam-5822	61	36	is	be	AUX
ejpam-5822	61	37	based	base	VERB
ejpam-5822	61	38	on	on	ADP
ejpam-5822	61	39	steffensenostrowski	steffensenostrowski	PROPN
ejpam-5822	61	40	’s	’s	PART
ejpam-5822	61	41	type	type	NOUN
ejpam-5822	61	42	weighted	weight	VERB
ejpam-5822	61	43	family	family	NOUN
ejpam-5822	61	44	.	.	PUNCT
ejpam-5822	62	1	2.1	2.1	NUM
ejpam-5822	62	2	.	.	PUNCT
ejpam-5822	62	3	formulation	formulation	NOUN
ejpam-5822	62	4	of	of	ADP
ejpam-5822	62	5	scheme	scheme	NOUN
ejpam-5822	62	6	for	for	ADP
ejpam-5822	62	7	the	the	DET
ejpam-5822	62	8	construction	construction	NOUN
ejpam-5822	62	9	of	of	ADP
ejpam-5822	62	10	the	the	DET
ejpam-5822	62	11	scheme	scheme	NOUN
ejpam-5822	62	12	,	,	PUNCT
ejpam-5822	62	13	take	take	VERB
ejpam-5822	62	14	into	into	ADP
ejpam-5822	62	15	account	account	NOUN
ejpam-5822	62	16	the	the	DET
ejpam-5822	62	17	three	three	NUM
ejpam-5822	62	18	-	-	PUNCT
ejpam-5822	62	19	point	point	NOUN
ejpam-5822	62	20	optimal	optimal	ADJ
ejpam-5822	62	21	eighth	eighth	ADJ
ejpam-5822	62	22	-	-	PUNCT
ejpam-5822	62	23	order	order	NOUN
ejpam-5822	62	24	iterative	iterative	NOUN
ejpam-5822	62	25	method	method	NOUN
ejpam-5822	62	26	proposed	propose	VERB
ejpam-5822	62	27	by	by	ADP
ejpam-5822	62	28	kanwar	kanwar	PROPN
ejpam-5822	62	29	et	et	PROPN
ejpam-5822	62	30	al	al	PROPN
ejpam-5822	62	31	.	.	PUNCT
ejpam-5822	63	1	[	[	X
ejpam-5822	63	2	26	26	NUM
ejpam-5822	63	3	]	]	PUNCT
ejpam-5822	63	4	,	,	PUNCT
ejpam-5822	63	5	based	base	VERB
ejpam-5822	63	6	on	on	ADP
ejpam-5822	63	7	ostrowski	ostrowski	PROPN
ejpam-5822	63	8	’s	’s	PART
ejpam-5822	63	9	method	method	NOUN
ejpam-5822	63	10	:	:	PUNCT
ejpam-5822	63	11	y	y	PROPN
ejpam-5822	63	12	j	j	PROPN
ejpam-5822	63	13	=	=	SYM
ejpam-5822	63	14	k	k	PROPN
ejpam-5822	63	15	j	j	PROPN
ejpam-5822	63	16	−	−	PROPN
ejpam-5822	63	17	g(k	g(k	PROPN
ejpam-5822	63	18	j	j	PROPN
ejpam-5822	63	19	)	)	PUNCT
ejpam-5822	63	20	g[ζ	g[ζ	PROPN
ejpam-5822	64	1	j	j	PROPN
ejpam-5822	64	2	,	,	PUNCT
ejpam-5822	64	3	k	k	PROPN
ejpam-5822	64	4	j	j	X
ejpam-5822	64	5	]	]	X
ejpam-5822	64	6	,	,	PUNCT
ejpam-5822	64	7	ζ	ζ	PROPN
ejpam-5822	64	8	j	j	NOUN
ejpam-5822	64	9	=	=	SYM
ejpam-5822	64	10	k	k	PROPN
ejpam-5822	64	11	j	j	PROPN
ejpam-5822	65	1	+	+	PROPN
ejpam-5822	65	2	βg(k	βg(k	SYM
ejpam-5822	65	3	j	j	PROPN
ejpam-5822	65	4	)	)	PUNCT
ejpam-5822	65	5	3	3	NUM
ejpam-5822	65	6	,	,	PUNCT
ejpam-5822	65	7	z	z	NOUN
ejpam-5822	65	8	j	j	PROPN
ejpam-5822	65	9	=	=	SYM
ejpam-5822	65	10	y	y	PROPN
ejpam-5822	65	11	j	j	PROPN
ejpam-5822	65	12	−	−	PROPN
ejpam-5822	65	13	g(y	g(y	PROPN
ejpam-5822	65	14	j	j	PROPN
ejpam-5822	65	15	)	)	PUNCT
ejpam-5822	65	16	2g[y	2g[y	NUM
ejpam-5822	65	17	j	j	PROPN
ejpam-5822	65	18	,	,	PUNCT
ejpam-5822	65	19	k	k	PROPN
ejpam-5822	65	20	j]−g[ζ	j]−g[ζ	PROPN
ejpam-5822	65	21	j	j	PROPN
ejpam-5822	65	22	,	,	PUNCT
ejpam-5822	65	23	k	k	PROPN
ejpam-5822	65	24	j	j	X
ejpam-5822	65	25	]	]	X
ejpam-5822	65	26	,	,	PUNCT
ejpam-5822	65	27	s.	s.	PROPN
ejpam-5822	65	28	akram	akram	PROPN
ejpam-5822	65	29	et	et	PROPN
ejpam-5822	65	30	al	al	PROPN
ejpam-5822	65	31	.	.	PUNCT
ejpam-5822	65	32	/	/	SYM
ejpam-5822	65	33	eur	eur	PROPN
ejpam-5822	65	34	.	.	PUNCT
ejpam-5822	66	1	j.	j.	PROPN
ejpam-5822	66	2	pure	pure	PROPN
ejpam-5822	66	3	appl	appl	PROPN
ejpam-5822	66	4	.	.	PROPN
ejpam-5822	66	5	math	math	PROPN
ejpam-5822	66	6	,	,	PUNCT
ejpam-5822	66	7	18	18	NUM
ejpam-5822	66	8	(	(	PUNCT
ejpam-5822	66	9	2	2	NUM
ejpam-5822	66	10	)	)	PUNCT
ejpam-5822	66	11	(	(	PUNCT
ejpam-5822	66	12	2025	2025	NUM
ejpam-5822	66	13	)	)	PUNCT
ejpam-5822	66	14	,	,	PUNCT
ejpam-5822	66	15	5822	5822	NUM
ejpam-5822	66	16	4	4	NUM
ejpam-5822	66	17	of	of	ADP
ejpam-5822	66	18	26	26	NUM
ejpam-5822	67	1	k	k	NOUN
ejpam-5822	67	2	j+1	j+1	PUNCT
ejpam-5822	67	3	=	=	PUNCT
ejpam-5822	67	4	z	z	X
ejpam-5822	67	5	j	j	NOUN
ejpam-5822	67	6	−	−	PROPN
ejpam-5822	68	1	g(z	g(z	PROPN
ejpam-5822	68	2	j	j	PROPN
ejpam-5822	68	3	)	)	PUNCT
ejpam-5822	68	4	g[y	g[y	PROPN
ejpam-5822	68	5	j	j	PROPN
ejpam-5822	68	6	,	,	PUNCT
ejpam-5822	68	7	z	z	PROPN
ejpam-5822	68	8	j]+g[ζ	j]+g[ζ	PROPN
ejpam-5822	68	9	j	j	PROPN
ejpam-5822	68	10	,	,	PUNCT
ejpam-5822	68	11	y	y	PROPN
ejpam-5822	68	12	j	j	PROPN
ejpam-5822	68	13	,	,	PUNCT
ejpam-5822	68	14	z	z	PROPN
ejpam-5822	68	15	j](z	j](z	PROPN
ejpam-5822	69	1	j	j	PROPN
ejpam-5822	69	2	−	−	PROPN
ejpam-5822	69	3	y	y	PROPN
ejpam-5822	69	4	j	j	PROPN
ejpam-5822	69	5	)	)	PUNCT
ejpam-5822	69	6	e(λ	e(λ	PROPN
ejpam-5822	69	7	,	,	PUNCT
ejpam-5822	69	8	µ	µ	NOUN
ejpam-5822	69	9	)	)	PUNCT
ejpam-5822	69	10	,	,	PUNCT
ejpam-5822	69	11	(	(	PUNCT
ejpam-5822	69	12	2	2	X
ejpam-5822	69	13	)	)	PUNCT
ejpam-5822	69	14	where	where	SCONJ
ejpam-5822	69	15	,	,	PUNCT
ejpam-5822	69	16	λ	λ	PROPN
ejpam-5822	69	17	=	=	SYM
ejpam-5822	69	18	g(z	g(z	PROPN
ejpam-5822	69	19	j	j	PROPN
ejpam-5822	69	20	)	)	PUNCT
ejpam-5822	69	21	g(y	g(y	PROPN
ejpam-5822	69	22	j	j	PROPN
ejpam-5822	69	23	)	)	PUNCT
ejpam-5822	69	24	and	and	CCONJ
ejpam-5822	69	25	µ	µ	X
ejpam-5822	69	26	=	=	SYM
ejpam-5822	69	27	g(y	g(y	PROPN
ejpam-5822	69	28	j	j	PROPN
ejpam-5822	69	29	)	)	PUNCT
ejpam-5822	69	30	g(k	g(k	PROPN
ejpam-5822	69	31	j	j	NOUN
ejpam-5822	69	32	)	)	PUNCT
ejpam-5822	69	33	.	.	PUNCT
ejpam-5822	70	1	β	β	X
ejpam-5822	70	2	is	be	AUX
ejpam-5822	70	3	a	a	DET
ejpam-5822	70	4	parameter	parameter	NOUN
ejpam-5822	70	5	and	and	CCONJ
ejpam-5822	70	6	β	β	X
ejpam-5822	70	7	∈	∈	PROPN
ejpam-5822	70	8	r\{0	r\{0	PROPN
ejpam-5822	70	9	}	}	PUNCT
ejpam-5822	70	10	.	.	PUNCT
ejpam-5822	71	1	with	with	ADP
ejpam-5822	71	2	the	the	DET
ejpam-5822	71	3	help	help	NOUN
ejpam-5822	71	4	of	of	ADP
ejpam-5822	71	5	newton	newton	PROPN
ejpam-5822	71	6	’s	’s	PART
ejpam-5822	71	7	technique	technique	NOUN
ejpam-5822	71	8	at	at	ADP
ejpam-5822	71	9	the	the	DET
ejpam-5822	71	10	fourth	fourth	ADJ
ejpam-5822	71	11	step	step	NOUN
ejpam-5822	71	12	of	of	ADP
ejpam-5822	71	13	the	the	DET
ejpam-5822	71	14	scheme	scheme	NOUN
ejpam-5822	71	15	(	(	PUNCT
ejpam-5822	71	16	2	2	X
ejpam-5822	71	17	)	)	PUNCT
ejpam-5822	71	18	we	we	PRON
ejpam-5822	71	19	obtain	obtain	VERB
ejpam-5822	71	20	:	:	PUNCT
ejpam-5822	72	1	y	y	PROPN
ejpam-5822	72	2	j	j	PROPN
ejpam-5822	72	3	=	=	SYM
ejpam-5822	72	4	k	k	PROPN
ejpam-5822	72	5	j	j	PROPN
ejpam-5822	73	1	−	−	PROPN
ejpam-5822	73	2	g(k	g(k	PROPN
ejpam-5822	73	3	j	j	PROPN
ejpam-5822	73	4	)	)	PUNCT
ejpam-5822	73	5	g[ζ	g[ζ	PROPN
ejpam-5822	74	1	j	j	PROPN
ejpam-5822	74	2	,	,	PUNCT
ejpam-5822	74	3	k	k	PROPN
ejpam-5822	74	4	j	j	X
ejpam-5822	74	5	]	]	X
ejpam-5822	74	6	,	,	PUNCT
ejpam-5822	74	7	ζ	ζ	PROPN
ejpam-5822	74	8	j	j	NOUN
ejpam-5822	74	9	=	=	SYM
ejpam-5822	74	10	k	k	PROPN
ejpam-5822	74	11	j	j	PROPN
ejpam-5822	75	1	+	+	PROPN
ejpam-5822	75	2	βg(k	βg(k	SYM
ejpam-5822	75	3	j	j	NOUN
ejpam-5822	75	4	)	)	PUNCT
ejpam-5822	75	5	4	4	NUM
ejpam-5822	75	6	,	,	PUNCT
ejpam-5822	75	7	z	z	NOUN
ejpam-5822	75	8	j	j	NOUN
ejpam-5822	75	9	=	=	SYM
ejpam-5822	75	10	y	y	PROPN
ejpam-5822	75	11	j	j	PROPN
ejpam-5822	75	12	−	−	PROPN
ejpam-5822	75	13	g(y	g(y	PROPN
ejpam-5822	75	14	j	j	PROPN
ejpam-5822	75	15	)	)	PUNCT
ejpam-5822	75	16	2g[y	2g[y	NUM
ejpam-5822	75	17	j	j	PROPN
ejpam-5822	75	18	,	,	PUNCT
ejpam-5822	75	19	k	k	PROPN
ejpam-5822	75	20	j]−g[ζ	j]−g[ζ	PROPN
ejpam-5822	75	21	j	j	PROPN
ejpam-5822	75	22	,	,	PUNCT
ejpam-5822	75	23	k	k	PROPN
ejpam-5822	75	24	j	j	X
ejpam-5822	75	25	]	]	X
ejpam-5822	75	26	,	,	PUNCT
ejpam-5822	75	27	t	t	PROPN
ejpam-5822	75	28	j	j	PROPN
ejpam-5822	76	1	=	=	SYM
ejpam-5822	76	2	z	z	PROPN
ejpam-5822	76	3	j	j	PROPN
ejpam-5822	77	1	−	−	PROPN
ejpam-5822	78	1	g(z	g(z	PROPN
ejpam-5822	78	2	j	j	PROPN
ejpam-5822	78	3	)	)	PUNCT
ejpam-5822	78	4	g[y	g[y	PROPN
ejpam-5822	78	5	j	j	PROPN
ejpam-5822	78	6	,	,	PUNCT
ejpam-5822	78	7	z	z	PROPN
ejpam-5822	78	8	j]+g[ζ	j]+g[ζ	PROPN
ejpam-5822	78	9	j	j	PROPN
ejpam-5822	78	10	,	,	PUNCT
ejpam-5822	78	11	y	y	PROPN
ejpam-5822	78	12	j	j	PROPN
ejpam-5822	78	13	,	,	PUNCT
ejpam-5822	78	14	z	z	PROPN
ejpam-5822	78	15	j](z	j](z	PROPN
ejpam-5822	79	1	j	j	PROPN
ejpam-5822	79	2	−	−	PROPN
ejpam-5822	79	3	y	y	PROPN
ejpam-5822	79	4	j	j	PROPN
ejpam-5822	79	5	)	)	PUNCT
ejpam-5822	79	6	e(λ	e(λ	PROPN
ejpam-5822	79	7	,	,	PUNCT
ejpam-5822	79	8	µ	µ	NOUN
ejpam-5822	79	9	)	)	PUNCT
ejpam-5822	79	10	,	,	PUNCT
ejpam-5822	79	11	k	k	X
ejpam-5822	80	1	j+1	j+1	X
ejpam-5822	80	2	=	=	PUNCT
ejpam-5822	80	3	t	t	PROPN
ejpam-5822	80	4	j	j	PROPN
ejpam-5822	80	5	−	−	PROPN
ejpam-5822	80	6	g(t	g(t	PROPN
ejpam-5822	80	7	j	j	PROPN
ejpam-5822	80	8	)	)	PUNCT
ejpam-5822	80	9	g′(t	g′(t	PROPN
ejpam-5822	80	10	j	j	PROPN
ejpam-5822	80	11	)	)	PUNCT
ejpam-5822	80	12	,	,	PUNCT
ejpam-5822	80	13	(	(	PUNCT
ejpam-5822	80	14	3	3	X
ejpam-5822	80	15	)	)	PUNCT
ejpam-5822	80	16	where	where	SCONJ
ejpam-5822	80	17	,	,	PUNCT
ejpam-5822	80	18	β	β	X
ejpam-5822	80	19	∈	∈	PROPN
ejpam-5822	80	20	r\{0	r\{0	PROPN
ejpam-5822	80	21	}	}	PUNCT
ejpam-5822	80	22	,	,	PUNCT
ejpam-5822	80	23	λ	λ	X
ejpam-5822	80	24	=	=	SYM
ejpam-5822	80	25	g(z	g(z	PROPN
ejpam-5822	80	26	j	j	PROPN
ejpam-5822	80	27	)	)	PUNCT
ejpam-5822	80	28	g(y	g(y	PROPN
ejpam-5822	80	29	j	j	PROPN
ejpam-5822	80	30	)	)	PUNCT
ejpam-5822	80	31	and	and	CCONJ
ejpam-5822	80	32	µ	µ	X
ejpam-5822	80	33	=	=	SYM
ejpam-5822	80	34	g(y	g(y	PROPN
ejpam-5822	80	35	j	j	PROPN
ejpam-5822	80	36	)	)	PUNCT
ejpam-5822	80	37	g(k	g(k	PROPN
ejpam-5822	80	38	j	j	NOUN
ejpam-5822	80	39	)	)	PUNCT
ejpam-5822	80	40	.	.	PUNCT
ejpam-5822	81	1	the	the	DET
ejpam-5822	81	2	above	above	ADJ
ejpam-5822	81	3	scheme	scheme	NOUN
ejpam-5822	81	4	(	(	PUNCT
ejpam-5822	81	5	3	3	NUM
ejpam-5822	81	6	)	)	PUNCT
ejpam-5822	81	7	does	do	AUX
ejpam-5822	81	8	not	not	PART
ejpam-5822	81	9	meet	meet	VERB
ejpam-5822	81	10	the	the	DET
ejpam-5822	81	11	criteria	criterion	NOUN
ejpam-5822	81	12	for	for	ADP
ejpam-5822	81	13	optimality	optimality	NOUN
ejpam-5822	81	14	as	as	ADP
ejpam-5822	81	15	per	per	ADP
ejpam-5822	81	16	the	the	DET
ejpam-5822	81	17	kung	kung	ADJ
ejpam-5822	81	18	-	-	PUNCT
ejpam-5822	81	19	traub	traub	NOUN
ejpam-5822	81	20	conjecture	conjecture	NOUN
ejpam-5822	81	21	[	[	X
ejpam-5822	81	22	2	2	NUM
ejpam-5822	81	23	]	]	PUNCT
ejpam-5822	81	24	,	,	PUNCT
ejpam-5822	81	25	since	since	SCONJ
ejpam-5822	81	26	per	per	ADP
ejpam-5822	81	27	iteration	iteration	NOUN
ejpam-5822	81	28	it	it	PRON
ejpam-5822	81	29	necessitates	necessitate	VERB
ejpam-5822	81	30	six	six	NUM
ejpam-5822	81	31	function	function	NOUN
ejpam-5822	81	32	evaluations	evaluation	NOUN
ejpam-5822	81	33	.	.	PUNCT
ejpam-5822	82	1	consequently	consequently	ADV
ejpam-5822	82	2	,	,	PUNCT
ejpam-5822	82	3	introducing	introduce	VERB
ejpam-5822	82	4	a	a	DET
ejpam-5822	82	5	suitable	suitable	ADJ
ejpam-5822	82	6	approximation	approximation	NOUN
ejpam-5822	82	7	,	,	PUNCT
ejpam-5822	82	8	we	we	PRON
ejpam-5822	82	9	sought	seek	VERB
ejpam-5822	82	10	to	to	PART
ejpam-5822	82	11	reduce	reduce	VERB
ejpam-5822	82	12	the	the	DET
ejpam-5822	82	13	number	number	NOUN
ejpam-5822	82	14	of	of	ADP
ejpam-5822	82	15	function	function	NOUN
ejpam-5822	82	16	evaluations	evaluation	NOUN
ejpam-5822	82	17	.	.	PUNCT
ejpam-5822	83	1	the	the	DET
ejpam-5822	83	2	below	below	ADV
ejpam-5822	83	3	given	give	VERB
ejpam-5822	83	4	approximation	approximation	NOUN
ejpam-5822	83	5	is	be	AUX
ejpam-5822	83	6	employed	employ	VERB
ejpam-5822	83	7	to	to	PART
ejpam-5822	83	8	replace	replace	VERB
ejpam-5822	83	9	the	the	DET
ejpam-5822	83	10	derivative	derivative	NOUN
ejpam-5822	83	11	g′(t	g′(t	PROPN
ejpam-5822	83	12	j	j	PROPN
ejpam-5822	83	13	):	):	PUNCT
ejpam-5822	83	14	g′(t	g′(t	PROPN
ejpam-5822	83	15	j	j	NOUN
ejpam-5822	83	16	)	)	PUNCT
ejpam-5822	84	1	=	=	PUNCT
ejpam-5822	85	1	(	(	PUNCT
ejpam-5822	85	2	t	t	PROPN
ejpam-5822	85	3	j	j	PROPN
ejpam-5822	86	1	−	−	PROPN
ejpam-5822	86	2	z	z	PROPN
ejpam-5822	86	3	j)(t	j)(t	PROPN
ejpam-5822	86	4	j	j	PROPN
ejpam-5822	87	1	−	−	PROPN
ejpam-5822	88	1	k	k	PROPN
ejpam-5822	88	2	j)(t	j)(t	PROPN
ejpam-5822	88	3	j	j	PROPN
ejpam-5822	88	4	−	−	PROPN
ejpam-5822	89	1	y	y	PROPN
ejpam-5822	89	2	j)g(ζ	j)g(ζ	PROPN
ejpam-5822	89	3	j	j	PROPN
ejpam-5822	89	4	)	)	PUNCT
ejpam-5822	90	1	(	(	PUNCT
ejpam-5822	90	2	ζ	ζ	NOUN
ejpam-5822	90	3	j	j	PROPN
ejpam-5822	90	4	−	−	PROPN
ejpam-5822	90	5	t	t	PROPN
ejpam-5822	90	6	j)(ζ	j)(ζ	PROPN
ejpam-5822	90	7	j	j	PROPN
ejpam-5822	90	8	−	−	PROPN
ejpam-5822	91	1	k	k	PROPN
ejpam-5822	91	2	j)(ζ	j)(ζ	PROPN
ejpam-5822	92	1	j	j	PROPN
ejpam-5822	92	2	−	−	PROPN
ejpam-5822	92	3	z	z	PROPN
ejpam-5822	92	4	j)(ζ	j)(ζ	PROPN
ejpam-5822	93	1	j	j	X
ejpam-5822	93	2	−	−	PROPN
ejpam-5822	93	3	y	y	PROPN
ejpam-5822	93	4	j	j	PROPN
ejpam-5822	93	5	)	)	PUNCT
ejpam-5822	94	1	+	+	CCONJ
ejpam-5822	94	2	(	(	PUNCT
ejpam-5822	94	3	t	t	PROPN
ejpam-5822	94	4	j	j	PROPN
ejpam-5822	95	1	−	−	PROPN
ejpam-5822	95	2	z	z	PROPN
ejpam-5822	95	3	j)(t	j)(t	PROPN
ejpam-5822	95	4	j	j	PROPN
ejpam-5822	95	5	−ζ	−ζ	PROPN
ejpam-5822	95	6	j)(t	j)(t	PROPN
ejpam-5822	95	7	j	j	PROPN
ejpam-5822	96	1	−	−	PROPN
ejpam-5822	96	2	k	k	PROPN
ejpam-5822	96	3	j)g(y	j)g(y	PROPN
ejpam-5822	96	4	j	j	PROPN
ejpam-5822	96	5	)	)	PUNCT
ejpam-5822	96	6	(	(	PUNCT
ejpam-5822	96	7	y	y	PROPN
ejpam-5822	96	8	j	j	PROPN
ejpam-5822	97	1	−	−	PROPN
ejpam-5822	97	2	t	t	PROPN
ejpam-5822	97	3	j)(y	j)(y	PROPN
ejpam-5822	97	4	j	j	PROPN
ejpam-5822	97	5	−ζ	−ζ	PROPN
ejpam-5822	97	6	j)(y	j)(y	PROPN
ejpam-5822	98	1	j	j	PROPN
ejpam-5822	99	1	−	−	PROPN
ejpam-5822	99	2	z	z	PROPN
ejpam-5822	100	1	j)(y	j)(y	PROPN
ejpam-5822	101	1	j	j	PROPN
ejpam-5822	101	2	−	−	PROPN
ejpam-5822	101	3	k	k	PROPN
ejpam-5822	101	4	j	j	PROPN
ejpam-5822	101	5	)	)	PUNCT
ejpam-5822	102	1	+	+	CCONJ
ejpam-5822	102	2	(	(	PUNCT
ejpam-5822	102	3	t	t	PROPN
ejpam-5822	102	4	j	j	PROPN
ejpam-5822	103	1	−	−	PROPN
ejpam-5822	103	2	z	z	PROPN
ejpam-5822	103	3	j)(t	j)(t	PROPN
ejpam-5822	103	4	j	j	PROPN
ejpam-5822	103	5	−ζ	−ζ	PROPN
ejpam-5822	103	6	j)(t	j)(t	PROPN
ejpam-5822	103	7	j	j	PROPN
ejpam-5822	103	8	−	−	PROPN
ejpam-5822	103	9	y	y	PROPN
ejpam-5822	103	10	j)g(k	j)g(k	PROPN
ejpam-5822	103	11	j	j	PROPN
ejpam-5822	103	12	)	)	PUNCT
ejpam-5822	104	1	(	(	PUNCT
ejpam-5822	104	2	k	k	PROPN
ejpam-5822	104	3	j	j	PROPN
ejpam-5822	104	4	−	−	PROPN
ejpam-5822	104	5	t	t	PROPN
ejpam-5822	104	6	j)(k	j)(k	PROPN
ejpam-5822	105	1	j	j	PROPN
ejpam-5822	105	2	−ζ	−ζ	PROPN
ejpam-5822	105	3	j)(k	j)(k	PROPN
ejpam-5822	106	1	j	j	PROPN
ejpam-5822	106	2	−	−	PROPN
ejpam-5822	106	3	y	y	PROPN
ejpam-5822	106	4	j)(k	j)(k	PROPN
ejpam-5822	107	1	j	j	PROPN
ejpam-5822	107	2	−	−	PROPN
ejpam-5822	107	3	z	z	PROPN
ejpam-5822	107	4	j	j	PROPN
ejpam-5822	107	5	)	)	PUNCT
ejpam-5822	108	1	+	+	CCONJ
ejpam-5822	108	2	(	(	PUNCT
ejpam-5822	108	3	t	t	PROPN
ejpam-5822	108	4	j	j	PROPN
ejpam-5822	108	5	−ζ	−ζ	PROPN
ejpam-5822	108	6	j)(t	j)(t	PROPN
ejpam-5822	108	7	j	j	PROPN
ejpam-5822	109	1	−	−	PROPN
ejpam-5822	109	2	k	k	PROPN
ejpam-5822	109	3	j)(t	j)(t	PROPN
ejpam-5822	109	4	j	j	PROPN
ejpam-5822	110	1	−	−	PROPN
ejpam-5822	111	1	y	y	PROPN
ejpam-5822	111	2	j)g(z	j)g(z	PROPN
ejpam-5822	111	3	j	j	PROPN
ejpam-5822	111	4	)	)	PUNCT
ejpam-5822	111	5	(	(	PUNCT
ejpam-5822	111	6	z	z	NOUN
ejpam-5822	111	7	j	j	PROPN
ejpam-5822	111	8	−	−	PROPN
ejpam-5822	111	9	t	t	PROPN
ejpam-5822	111	10	j)(z	j)(z	PROPN
ejpam-5822	112	1	j	j	PROPN
ejpam-5822	112	2	−ζ	−ζ	PROPN
ejpam-5822	112	3	j)(z	j)(z	PUNCT
ejpam-5822	113	1	j	j	PROPN
ejpam-5822	114	1	−	−	PROPN
ejpam-5822	114	2	k	k	PROPN
ejpam-5822	114	3	j)(z	j)(z	PROPN
ejpam-5822	115	1	j	j	NOUN
ejpam-5822	115	2	−	−	PROPN
ejpam-5822	115	3	y	y	PROPN
ejpam-5822	115	4	j	j	PROPN
ejpam-5822	115	5	)	)	PUNCT
ejpam-5822	116	1	+	+	CCONJ
ejpam-5822	116	2	g(t	g(t	PROPN
ejpam-5822	116	3	j	j	PROPN
ejpam-5822	116	4	)	)	PUNCT
ejpam-5822	116	5	(	(	PUNCT
ejpam-5822	116	6	t	t	PROPN
ejpam-5822	116	7	j	j	PROPN
ejpam-5822	116	8	−ζ	−ζ	PROPN
ejpam-5822	116	9	j	j	PROPN
ejpam-5822	116	10	)	)	PUNCT
ejpam-5822	117	1	+	+	CCONJ
ejpam-5822	117	2	g(t	g(t	PROPN
ejpam-5822	117	3	j	j	PROPN
ejpam-5822	117	4	)	)	PUNCT
ejpam-5822	117	5	(	(	PUNCT
ejpam-5822	117	6	t	t	PROPN
ejpam-5822	117	7	j	j	PROPN
ejpam-5822	118	1	−	−	PROPN
ejpam-5822	118	2	k	k	PROPN
ejpam-5822	118	3	j	j	PROPN
ejpam-5822	118	4	)	)	PUNCT
ejpam-5822	119	1	+	+	CCONJ
ejpam-5822	119	2	g(t	g(t	PROPN
ejpam-5822	119	3	j	j	PROPN
ejpam-5822	119	4	)	)	PUNCT
ejpam-5822	119	5	(	(	PUNCT
ejpam-5822	119	6	t	t	PROPN
ejpam-5822	119	7	j	j	PROPN
ejpam-5822	119	8	−	−	PROPN
ejpam-5822	119	9	y	y	PROPN
ejpam-5822	119	10	j	j	PROPN
ejpam-5822	119	11	)	)	PUNCT
ejpam-5822	120	1	+	+	CCONJ
ejpam-5822	120	2	g(t	g(t	PROPN
ejpam-5822	120	3	j	j	PROPN
ejpam-5822	120	4	)	)	PUNCT
ejpam-5822	120	5	(	(	PUNCT
ejpam-5822	120	6	t	t	PROPN
ejpam-5822	120	7	j	j	PROPN
ejpam-5822	121	1	−	−	PROPN
ejpam-5822	121	2	z	z	PROPN
ejpam-5822	121	3	j	j	PROPN
ejpam-5822	121	4	)	)	PUNCT
ejpam-5822	121	5	.	.	PUNCT
ejpam-5822	122	1	(	(	PUNCT
ejpam-5822	122	2	4	4	X
ejpam-5822	122	3	)	)	PUNCT
ejpam-5822	122	4	where	where	SCONJ
ejpam-5822	122	5	,	,	PUNCT
ejpam-5822	122	6	ζ	ζ	PROPN
ejpam-5822	122	7	j	j	NOUN
ejpam-5822	122	8	=	=	SYM
ejpam-5822	122	9	k	k	PROPN
ejpam-5822	122	10	j	j	PROPN
ejpam-5822	123	1	+	+	PROPN
ejpam-5822	123	2	βg(k	βg(k	SYM
ejpam-5822	123	3	j	j	NOUN
ejpam-5822	123	4	)	)	PUNCT
ejpam-5822	123	5	4	4	NUM
ejpam-5822	123	6	and	and	CCONJ
ejpam-5822	123	7	β	β	X
ejpam-5822	123	8	∈	∈	NOUN
ejpam-5822	123	9	r	r	NOUN
ejpam-5822	123	10	\	\	PUNCT
ejpam-5822	123	11	{	{	PUNCT
ejpam-5822	123	12	0	0	NUM
ejpam-5822	123	13	}	}	PUNCT
ejpam-5822	123	14	.	.	PUNCT
ejpam-5822	124	1	g′(t	g′(t	PROPN
ejpam-5822	124	2	j	j	NOUN
ejpam-5822	124	3	)	)	PUNCT
ejpam-5822	124	4	is	be	AUX
ejpam-5822	124	5	the	the	DET
ejpam-5822	124	6	fourth	fourth	ADJ
ejpam-5822	124	7	-	-	PUNCT
ejpam-5822	124	8	degree	degree	NOUN
ejpam-5822	124	9	interpolation	interpolation	NOUN
ejpam-5822	124	10	by	by	ADP
ejpam-5822	124	11	lagrange	lagrange	NOUN
ejpam-5822	124	12	[	[	X
ejpam-5822	124	13	27	27	NUM
ejpam-5822	124	14	]	]	PUNCT
ejpam-5822	124	15	that	that	PRON
ejpam-5822	124	16	interpolates	interpolate	VERB
ejpam-5822	124	17	t	t	PROPN
ejpam-5822	124	18	j	j	PROPN
ejpam-5822	124	19	,	,	PUNCT
ejpam-5822	124	20	z	z	PROPN
ejpam-5822	124	21	j	j	PROPN
ejpam-5822	124	22	,	,	PUNCT
ejpam-5822	124	23	y	y	PROPN
ejpam-5822	124	24	j	j	PROPN
ejpam-5822	124	25	,	,	PUNCT
ejpam-5822	124	26	k	k	PROPN
ejpam-5822	124	27	j	j	PROPN
ejpam-5822	124	28	,	,	PUNCT
ejpam-5822	124	29	and	and	CCONJ
ejpam-5822	124	30	ζ	ζ	PROPN
ejpam-5822	124	31	j	j	PROPN
ejpam-5822	124	32	and	and	CCONJ
ejpam-5822	124	33	β	β	PROPN
ejpam-5822	124	34	∈	∈	PROPN
ejpam-5822	124	35	r\{0	r\{0	PROPN
ejpam-5822	124	36	}	}	PUNCT
ejpam-5822	124	37	.	.	PUNCT
ejpam-5822	125	1	we	we	PRON
ejpam-5822	125	2	formulate	formulate	VERB
ejpam-5822	125	3	a	a	DET
ejpam-5822	125	4	four	four	NUM
ejpam-5822	125	5	-	-	PUNCT
ejpam-5822	125	6	step	step	NOUN
ejpam-5822	125	7	iterative	iterative	NOUN
ejpam-5822	125	8	method	method	NOUN
ejpam-5822	125	9	of	of	ADP
ejpam-5822	125	10	order	order	NOUN
ejpam-5822	125	11	sixteenth	sixteenth	ADV
ejpam-5822	125	12	utilizing	utilize	VERB
ejpam-5822	125	13	a	a	DET
ejpam-5822	125	14	bivariate	bivariate	ADJ
ejpam-5822	125	15	weight	weight	NOUN
ejpam-5822	125	16	function	function	NOUN
ejpam-5822	125	17	and	and	CCONJ
ejpam-5822	125	18	at	at	ADP
ejpam-5822	125	19	each	each	DET
ejpam-5822	125	20	iterative	iterative	NOUN
ejpam-5822	125	21	step	step	NOUN
ejpam-5822	125	22	employing	employ	VERB
ejpam-5822	125	23	five	five	NUM
ejpam-5822	125	24	evaluations	evaluation	NOUN
ejpam-5822	125	25	of	of	ADP
ejpam-5822	125	26	function	function	NOUN
ejpam-5822	125	27	.	.	PUNCT
ejpam-5822	126	1	this	this	DET
ejpam-5822	126	2	formula	formula	NOUN
ejpam-5822	126	3	achieved	achieve	VERB
ejpam-5822	126	4	by	by	ADP
ejpam-5822	126	5	integrating	integrate	VERB
ejpam-5822	126	6	the	the	DET
ejpam-5822	126	7	provided	provide	VERB
ejpam-5822	126	8	approximation	approximation	NOUN
ejpam-5822	126	9	(	(	PUNCT
ejpam-5822	126	10	4	4	NUM
ejpam-5822	126	11	)	)	PUNCT
ejpam-5822	126	12	in	in	ADP
ejpam-5822	126	13	the	the	DET
ejpam-5822	126	14	fourth	fourth	ADJ
ejpam-5822	126	15	step	step	NOUN
ejpam-5822	126	16	of	of	ADP
ejpam-5822	126	17	the	the	DET
ejpam-5822	126	18	iterative	iterative	NOUN
ejpam-5822	126	19	scheme	scheme	NOUN
ejpam-5822	126	20	(	(	PUNCT
ejpam-5822	126	21	3	3	NUM
ejpam-5822	126	22	)	)	PUNCT
ejpam-5822	126	23	,	,	PUNCT
ejpam-5822	126	24	as	as	SCONJ
ejpam-5822	126	25	shown	show	VERB
ejpam-5822	126	26	below	below	ADV
ejpam-5822	126	27	:	:	PUNCT
ejpam-5822	126	28	y	y	PROPN
ejpam-5822	126	29	j	j	PROPN
ejpam-5822	126	30	=	=	SYM
ejpam-5822	126	31	k	k	PROPN
ejpam-5822	126	32	j	j	PROPN
ejpam-5822	127	1	−	−	PROPN
ejpam-5822	127	2	g(k	g(k	PROPN
ejpam-5822	127	3	j	j	PROPN
ejpam-5822	127	4	)	)	PUNCT
ejpam-5822	127	5	g[ζ	g[ζ	PROPN
ejpam-5822	128	1	j	j	PROPN
ejpam-5822	128	2	,	,	PUNCT
ejpam-5822	128	3	k	k	PROPN
ejpam-5822	128	4	j	j	X
ejpam-5822	128	5	]	]	X
ejpam-5822	128	6	,	,	PUNCT
ejpam-5822	128	7	ζ	ζ	PROPN
ejpam-5822	128	8	j	j	NOUN
ejpam-5822	128	9	=	=	SYM
ejpam-5822	128	10	k	k	PROPN
ejpam-5822	128	11	j	j	PROPN
ejpam-5822	129	1	+	+	PROPN
ejpam-5822	129	2	βg(k	βg(k	SYM
ejpam-5822	129	3	j	j	NOUN
ejpam-5822	129	4	)	)	PUNCT
ejpam-5822	129	5	4	4	NUM
ejpam-5822	129	6	,	,	PUNCT
ejpam-5822	129	7	z	z	NOUN
ejpam-5822	129	8	j	j	NOUN
ejpam-5822	129	9	=	=	SYM
ejpam-5822	129	10	y	y	PROPN
ejpam-5822	129	11	j	j	PROPN
ejpam-5822	129	12	−	−	PROPN
ejpam-5822	129	13	g(y	g(y	PROPN
ejpam-5822	129	14	j	j	PROPN
ejpam-5822	129	15	)	)	PUNCT
ejpam-5822	129	16	2g[y	2g[y	NUM
ejpam-5822	129	17	j	j	PROPN
ejpam-5822	129	18	,	,	PUNCT
ejpam-5822	129	19	k	k	PROPN
ejpam-5822	129	20	j]−g[ζ	j]−g[ζ	PROPN
ejpam-5822	129	21	j	j	PROPN
ejpam-5822	129	22	,	,	PUNCT
ejpam-5822	129	23	k	k	PROPN
ejpam-5822	129	24	j	j	X
ejpam-5822	129	25	]	]	X
ejpam-5822	129	26	,	,	PUNCT
ejpam-5822	129	27	s.	s.	PROPN
ejpam-5822	129	28	akram	akram	PROPN
ejpam-5822	129	29	et	et	PROPN
ejpam-5822	129	30	al	al	PROPN
ejpam-5822	129	31	.	.	PUNCT
ejpam-5822	129	32	/	/	SYM
ejpam-5822	129	33	eur	eur	PROPN
ejpam-5822	129	34	.	.	PUNCT
ejpam-5822	130	1	j.	j.	PROPN
ejpam-5822	130	2	pure	pure	PROPN
ejpam-5822	130	3	appl	appl	PROPN
ejpam-5822	130	4	.	.	PROPN
ejpam-5822	130	5	math	math	PROPN
ejpam-5822	130	6	,	,	PUNCT
ejpam-5822	130	7	18	18	NUM
ejpam-5822	130	8	(	(	PUNCT
ejpam-5822	130	9	2	2	NUM
ejpam-5822	130	10	)	)	PUNCT
ejpam-5822	130	11	(	(	PUNCT
ejpam-5822	130	12	2025	2025	NUM
ejpam-5822	130	13	)	)	PUNCT
ejpam-5822	130	14	,	,	PUNCT
ejpam-5822	130	15	5822	5822	NUM
ejpam-5822	130	16	5	5	NUM
ejpam-5822	130	17	of	of	ADP
ejpam-5822	130	18	26	26	NUM
ejpam-5822	130	19	t	t	NOUN
ejpam-5822	130	20	j	j	PROPN
ejpam-5822	131	1	=	=	SYM
ejpam-5822	131	2	z	z	PROPN
ejpam-5822	131	3	j	j	PROPN
ejpam-5822	132	1	−	−	PROPN
ejpam-5822	133	1	g(z	g(z	PROPN
ejpam-5822	133	2	j	j	PROPN
ejpam-5822	133	3	)	)	PUNCT
ejpam-5822	133	4	g[y	g[y	PROPN
ejpam-5822	133	5	j	j	PROPN
ejpam-5822	133	6	,	,	PUNCT
ejpam-5822	133	7	z	z	PROPN
ejpam-5822	133	8	j]+g[ζ	j]+g[ζ	PROPN
ejpam-5822	133	9	j	j	PROPN
ejpam-5822	133	10	,	,	PUNCT
ejpam-5822	133	11	y	y	PROPN
ejpam-5822	133	12	j	j	PROPN
ejpam-5822	133	13	,	,	PUNCT
ejpam-5822	133	14	z	z	PROPN
ejpam-5822	133	15	j](z	j](z	PROPN
ejpam-5822	134	1	j	j	PROPN
ejpam-5822	134	2	−	−	PROPN
ejpam-5822	134	3	y	y	PROPN
ejpam-5822	134	4	j	j	PROPN
ejpam-5822	134	5	)	)	PUNCT
ejpam-5822	134	6	e(λ	e(λ	PROPN
ejpam-5822	134	7	,	,	PUNCT
ejpam-5822	134	8	µ	µ	NOUN
ejpam-5822	134	9	)	)	PUNCT
ejpam-5822	134	10	,	,	PUNCT
ejpam-5822	134	11	k	k	X
ejpam-5822	134	12	j+1	j+1	X
ejpam-5822	134	13	=	=	PUNCT
ejpam-5822	134	14	t	t	PROPN
ejpam-5822	134	15	j	j	PROPN
ejpam-5822	134	16	−	−	PROPN
ejpam-5822	134	17	g(t	g(t	PROPN
ejpam-5822	134	18	j	j	PROPN
ejpam-5822	134	19	)	)	PUNCT
ejpam-5822	134	20	ml	ml	ADP
ejpam-5822	134	21	.	.	PUNCT
ejpam-5822	135	1	(	(	PUNCT
ejpam-5822	135	2	5	5	NUM
ejpam-5822	135	3	)	)	PUNCT
ejpam-5822	135	4	where	where	SCONJ
ejpam-5822	135	5	,	,	PUNCT
ejpam-5822	135	6	β	β	X
ejpam-5822	135	7	∈	∈	PROPN
ejpam-5822	135	8	r\{0	r\{0	PROPN
ejpam-5822	135	9	}	}	PUNCT
ejpam-5822	135	10	,	,	PUNCT
ejpam-5822	135	11	λ	λ	X
ejpam-5822	135	12	=	=	SYM
ejpam-5822	135	13	g(z	g(z	PROPN
ejpam-5822	135	14	j	j	PROPN
ejpam-5822	135	15	)	)	PUNCT
ejpam-5822	135	16	g(y	g(y	PROPN
ejpam-5822	135	17	j	j	PROPN
ejpam-5822	135	18	)	)	PUNCT
ejpam-5822	135	19	,	,	PUNCT
ejpam-5822	135	20	µ	µ	X
ejpam-5822	135	21	=	=	SYM
ejpam-5822	135	22	g(y	g(y	PROPN
ejpam-5822	135	23	j	j	PROPN
ejpam-5822	135	24	)	)	PUNCT
ejpam-5822	135	25	g(k	g(k	PROPN
ejpam-5822	135	26	j	j	NOUN
ejpam-5822	135	27	)	)	PUNCT
ejpam-5822	135	28	,	,	PUNCT
ejpam-5822	135	29	and	and	CCONJ
ejpam-5822	135	30	ml	ml	ADP
ejpam-5822	135	31	=	=	SYM
ejpam-5822	135	32	(	(	PUNCT
ejpam-5822	135	33	t	t	PROPN
ejpam-5822	135	34	j	j	PROPN
ejpam-5822	136	1	−	−	PROPN
ejpam-5822	136	2	z	z	PROPN
ejpam-5822	136	3	j)(t	j)(t	PROPN
ejpam-5822	136	4	j	j	PROPN
ejpam-5822	137	1	−	−	PROPN
ejpam-5822	138	1	k	k	PROPN
ejpam-5822	138	2	j)(t	j)(t	PROPN
ejpam-5822	138	3	j	j	PROPN
ejpam-5822	138	4	−	−	PROPN
ejpam-5822	139	1	y	y	PROPN
ejpam-5822	139	2	j)g(ζ	j)g(ζ	PROPN
ejpam-5822	139	3	j	j	PROPN
ejpam-5822	139	4	)	)	PUNCT
ejpam-5822	140	1	(	(	PUNCT
ejpam-5822	140	2	ζ	ζ	NOUN
ejpam-5822	140	3	j	j	PROPN
ejpam-5822	140	4	−	−	PROPN
ejpam-5822	140	5	t	t	PROPN
ejpam-5822	140	6	j)(ζ	j)(ζ	PROPN
ejpam-5822	140	7	j	j	PROPN
ejpam-5822	140	8	−	−	PROPN
ejpam-5822	141	1	k	k	PROPN
ejpam-5822	141	2	j)(ζ	j)(ζ	PROPN
ejpam-5822	142	1	j	j	PROPN
ejpam-5822	142	2	−	−	PROPN
ejpam-5822	142	3	z	z	PROPN
ejpam-5822	142	4	j)(ζ	j)(ζ	PROPN
ejpam-5822	143	1	j	j	X
ejpam-5822	143	2	−	−	PROPN
ejpam-5822	143	3	y	y	PROPN
ejpam-5822	143	4	j	j	PROPN
ejpam-5822	143	5	)	)	PUNCT
ejpam-5822	144	1	+	+	CCONJ
ejpam-5822	144	2	(	(	PUNCT
ejpam-5822	144	3	t	t	PROPN
ejpam-5822	144	4	j	j	PROPN
ejpam-5822	145	1	−	−	PROPN
ejpam-5822	145	2	z	z	PROPN
ejpam-5822	145	3	j)(t	j)(t	PROPN
ejpam-5822	145	4	j	j	PROPN
ejpam-5822	145	5	−ζ	−ζ	PROPN
ejpam-5822	145	6	j)(t	j)(t	PROPN
ejpam-5822	145	7	j	j	PROPN
ejpam-5822	146	1	−	−	PROPN
ejpam-5822	146	2	k	k	PROPN
ejpam-5822	146	3	j)g(y	j)g(y	PROPN
ejpam-5822	146	4	j	j	PROPN
ejpam-5822	146	5	)	)	PUNCT
ejpam-5822	146	6	(	(	PUNCT
ejpam-5822	146	7	y	y	PROPN
ejpam-5822	146	8	j	j	PROPN
ejpam-5822	147	1	−	−	PROPN
ejpam-5822	147	2	z	z	PROPN
ejpam-5822	148	1	j)(y	j)(y	PROPN
ejpam-5822	149	1	j	j	PROPN
ejpam-5822	149	2	−	−	PROPN
ejpam-5822	149	3	t	t	PROPN
ejpam-5822	149	4	j)(y	j)(y	PROPN
ejpam-5822	149	5	j	j	PROPN
ejpam-5822	149	6	−ζ	−ζ	PROPN
ejpam-5822	149	7	j)(y	j)(y	PROPN
ejpam-5822	150	1	j	j	PROPN
ejpam-5822	150	2	−	−	PROPN
ejpam-5822	150	3	k	k	PROPN
ejpam-5822	150	4	j	j	PROPN
ejpam-5822	150	5	)	)	PUNCT
ejpam-5822	151	1	+	+	CCONJ
ejpam-5822	151	2	(	(	PUNCT
ejpam-5822	151	3	t	t	PROPN
ejpam-5822	151	4	j	j	PROPN
ejpam-5822	152	1	−	−	PROPN
ejpam-5822	152	2	z	z	PROPN
ejpam-5822	152	3	j)(t	j)(t	PROPN
ejpam-5822	152	4	j	j	PROPN
ejpam-5822	152	5	−ζ	−ζ	PROPN
ejpam-5822	152	6	j)(t	j)(t	PROPN
ejpam-5822	152	7	j	j	PROPN
ejpam-5822	152	8	−	−	PROPN
ejpam-5822	152	9	y	y	PROPN
ejpam-5822	152	10	j)g(k	j)g(k	PROPN
ejpam-5822	152	11	j	j	PROPN
ejpam-5822	152	12	)	)	PUNCT
ejpam-5822	153	1	(	(	PUNCT
ejpam-5822	153	2	k	k	PROPN
ejpam-5822	153	3	j	j	PROPN
ejpam-5822	153	4	−	−	PROPN
ejpam-5822	153	5	y	y	PROPN
ejpam-5822	153	6	j)(k	j)(k	PROPN
ejpam-5822	154	1	j	j	PROPN
ejpam-5822	154	2	−	−	PROPN
ejpam-5822	154	3	t	t	PROPN
ejpam-5822	154	4	j)(k	j)(k	PROPN
ejpam-5822	155	1	j	j	PROPN
ejpam-5822	155	2	−ζ	−ζ	PROPN
ejpam-5822	155	3	j)(ζ	j)(ζ	PROPN
ejpam-5822	156	1	j	j	PROPN
ejpam-5822	156	2	−	−	PROPN
ejpam-5822	156	3	z	z	PROPN
ejpam-5822	156	4	j	j	PROPN
ejpam-5822	156	5	)	)	PUNCT
ejpam-5822	157	1	+	+	CCONJ
ejpam-5822	157	2	(	(	PUNCT
ejpam-5822	157	3	t	t	PROPN
ejpam-5822	157	4	j	j	PROPN
ejpam-5822	157	5	−ζ	−ζ	PROPN
ejpam-5822	157	6	j)(t	j)(t	PROPN
ejpam-5822	157	7	j	j	PROPN
ejpam-5822	158	1	−	−	PROPN
ejpam-5822	158	2	k	k	PROPN
ejpam-5822	158	3	j)(t	j)(t	PROPN
ejpam-5822	158	4	j	j	PROPN
ejpam-5822	159	1	−	−	PROPN
ejpam-5822	160	1	y	y	PROPN
ejpam-5822	160	2	j)g(z	j)g(z	PROPN
ejpam-5822	160	3	j	j	PROPN
ejpam-5822	160	4	)	)	PUNCT
ejpam-5822	160	5	(	(	PUNCT
ejpam-5822	160	6	z	z	NOUN
ejpam-5822	160	7	j	j	PROPN
ejpam-5822	160	8	−	−	PROPN
ejpam-5822	160	9	t	t	PROPN
ejpam-5822	160	10	j)(z	j)(z	PROPN
ejpam-5822	161	1	j	j	PROPN
ejpam-5822	161	2	−ζ	−ζ	PROPN
ejpam-5822	161	3	j)(z	j)(z	PUNCT
ejpam-5822	162	1	j	j	PROPN
ejpam-5822	163	1	−	−	PROPN
ejpam-5822	163	2	k	k	PROPN
ejpam-5822	163	3	j)(z	j)(z	PROPN
ejpam-5822	164	1	j	j	NOUN
ejpam-5822	164	2	−	−	PROPN
ejpam-5822	164	3	y	y	PROPN
ejpam-5822	164	4	j	j	PROPN
ejpam-5822	164	5	)	)	PUNCT
ejpam-5822	165	1	+	+	CCONJ
ejpam-5822	165	2	g(t	g(t	PROPN
ejpam-5822	165	3	j	j	PROPN
ejpam-5822	165	4	)	)	PUNCT
ejpam-5822	165	5	(	(	PUNCT
ejpam-5822	165	6	t	t	PROPN
ejpam-5822	165	7	j	j	PROPN
ejpam-5822	165	8	−ζ	−ζ	PROPN
ejpam-5822	165	9	j	j	PROPN
ejpam-5822	165	10	)	)	PUNCT
ejpam-5822	166	1	+	+	CCONJ
ejpam-5822	166	2	g(t	g(t	PROPN
ejpam-5822	166	3	j	j	PROPN
ejpam-5822	166	4	)	)	PUNCT
ejpam-5822	166	5	(	(	PUNCT
ejpam-5822	166	6	t	t	PROPN
ejpam-5822	166	7	j	j	PROPN
ejpam-5822	167	1	−	−	PROPN
ejpam-5822	167	2	k	k	PROPN
ejpam-5822	167	3	j	j	PROPN
ejpam-5822	167	4	)	)	PUNCT
ejpam-5822	168	1	+	+	CCONJ
ejpam-5822	168	2	g(t	g(t	PROPN
ejpam-5822	168	3	j	j	PROPN
ejpam-5822	168	4	)	)	PUNCT
ejpam-5822	168	5	(	(	PUNCT
ejpam-5822	168	6	t	t	PROPN
ejpam-5822	168	7	j	j	PROPN
ejpam-5822	168	8	−	−	PROPN
ejpam-5822	168	9	y	y	PROPN
ejpam-5822	168	10	j	j	PROPN
ejpam-5822	168	11	)	)	PUNCT
ejpam-5822	169	1	+	+	CCONJ
ejpam-5822	169	2	g(t	g(t	PROPN
ejpam-5822	169	3	j	j	PROPN
ejpam-5822	169	4	)	)	PUNCT
ejpam-5822	169	5	(	(	PUNCT
ejpam-5822	169	6	t	t	PROPN
ejpam-5822	169	7	j	j	PROPN
ejpam-5822	170	1	−	−	PROPN
ejpam-5822	170	2	z	z	PROPN
ejpam-5822	170	3	j	j	PROPN
ejpam-5822	170	4	)	)	PUNCT
ejpam-5822	170	5	.	.	PUNCT
ejpam-5822	171	1	consider	consider	VERB
ejpam-5822	171	2	an	an	DET
ejpam-5822	171	3	analytic	analytic	ADJ
ejpam-5822	171	4	function	function	NOUN
ejpam-5822	171	5	e	e	NOUN
ejpam-5822	171	6	:	:	PUNCT
ejpam-5822	172	1	c2	c2	PROPN
ejpam-5822	172	2	→	→	SYM
ejpam-5822	172	3	c	c	PROPN
ejpam-5822	172	4	in	in	ADP
ejpam-5822	172	5	the	the	DET
ejpam-5822	172	6	vicinity	vicinity	NOUN
ejpam-5822	172	7	of	of	ADP
ejpam-5822	172	8	(	(	PUNCT
ejpam-5822	172	9	0,0	0,0	NOUN
ejpam-5822	172	10	)	)	PUNCT
ejpam-5822	172	11	,	,	PUNCT
ejpam-5822	172	12	with	with	ADP
ejpam-5822	172	13	λ	λ	PROPN
ejpam-5822	172	14	=	=	SYM
ejpam-5822	172	15	g(z	g(z	PROPN
ejpam-5822	172	16	j	j	PROPN
ejpam-5822	172	17	)	)	PUNCT
ejpam-5822	172	18	g(y	g(y	PROPN
ejpam-5822	172	19	j	j	PROPN
ejpam-5822	172	20	)	)	PUNCT
ejpam-5822	172	21	=	=	SYM
ejpam-5822	172	22	o(e2	o(e2	PROPN
ejpam-5822	172	23	j	j	NOUN
ejpam-5822	172	24	)	)	PUNCT
ejpam-5822	172	25	and	and	CCONJ
ejpam-5822	172	26	µ	µ	X
ejpam-5822	172	27	=	=	SYM
ejpam-5822	172	28	g(y	g(y	PROPN
ejpam-5822	172	29	j	j	PROPN
ejpam-5822	172	30	)	)	PUNCT
ejpam-5822	172	31	g(k	g(k	PROPN
ejpam-5822	172	32	j	j	NOUN
ejpam-5822	172	33	)	)	PUNCT
ejpam-5822	172	34	=	=	PUNCT
ejpam-5822	172	35	o(e	o(e	PROPN
ejpam-5822	172	36	j	j	NOUN
ejpam-5822	172	37	)	)	PUNCT
ejpam-5822	172	38	.	.	PUNCT
ejpam-5822	173	1	the	the	DET
ejpam-5822	173	2	following	follow	VERB
ejpam-5822	173	3	theorem	theorem	NOUN
ejpam-5822	173	4	demonstrates	demonstrate	VERB
ejpam-5822	173	5	that	that	SCONJ
ejpam-5822	173	6	the	the	DET
ejpam-5822	173	7	order	order	NOUN
ejpam-5822	173	8	of	of	ADP
ejpam-5822	173	9	convergence	convergence	NOUN
ejpam-5822	173	10	of	of	ADP
ejpam-5822	173	11	the	the	DET
ejpam-5822	173	12	aforementioned	aforementioned	ADJ
ejpam-5822	173	13	scheme	scheme	NOUN
ejpam-5822	173	14	is	be	AUX
ejpam-5822	173	15	optimal	optimal	ADJ
ejpam-5822	173	16	sixteenth	sixteenth	ADJ
ejpam-5822	173	17	-	-	PUNCT
ejpam-5822	173	18	order	order	NOUN
ejpam-5822	173	19	.	.	PUNCT
ejpam-5822	174	1	theorem	theorem	NOUN
ejpam-5822	174	2	1	1	NUM
ejpam-5822	174	3	.	.	PUNCT
ejpam-5822	175	1	let	let	VERB
ejpam-5822	175	2	g	g	PRON
ejpam-5822	175	3	be	be	AUX
ejpam-5822	175	4	a	a	DET
ejpam-5822	175	5	sufficiently	sufficiently	ADV
ejpam-5822	175	6	differentiable	differentiable	ADJ
ejpam-5822	175	7	function	function	NOUN
ejpam-5822	175	8	defined	define	VERB
ejpam-5822	175	9	on	on	ADP
ejpam-5822	175	10	an	an	DET
ejpam-5822	175	11	open	open	ADJ
ejpam-5822	175	12	interval	interval	NOUN
ejpam-5822	175	13	d	d	NOUN
ejpam-5822	175	14	,	,	PUNCT
ejpam-5822	175	15	with	with	ADP
ejpam-5822	175	16	γ	γ	PROPN
ejpam-5822	175	17	∈	∈	PROPN
ejpam-5822	175	18	d	d	ADP
ejpam-5822	175	19	being	be	AUX
ejpam-5822	175	20	a	a	DET
ejpam-5822	175	21	simple	simple	ADJ
ejpam-5822	175	22	zero	zero	NUM
ejpam-5822	175	23	of	of	ADP
ejpam-5822	175	24	g.	g.	PROPN
ejpam-5822	175	25	assume	assume	VERB
ejpam-5822	175	26	that	that	SCONJ
ejpam-5822	175	27	the	the	DET
ejpam-5822	175	28	initial	initial	ADJ
ejpam-5822	175	29	guess	guess	NOUN
ejpam-5822	175	30	k∗	k∗	NOUN
ejpam-5822	175	31	is	be	AUX
ejpam-5822	175	32	sufficiently	sufficiently	ADV
ejpam-5822	175	33	close	close	ADJ
ejpam-5822	175	34	to	to	ADP
ejpam-5822	175	35	γ	γ	PROPN
ejpam-5822	175	36	∈	∈	PROPN
ejpam-5822	175	37	d.	d.	PROPN
ejpam-5822	176	1	then	then	ADV
ejpam-5822	176	2	,	,	PUNCT
ejpam-5822	176	3	the	the	DET
ejpam-5822	176	4	four	four	NUM
ejpam-5822	176	5	-	-	PUNCT
ejpam-5822	176	6	point	point	NOUN
ejpam-5822	176	7	iterative	iterative	NOUN
ejpam-5822	176	8	scheme	scheme	NOUN
ejpam-5822	176	9	described	describe	VERB
ejpam-5822	176	10	in	in	ADP
ejpam-5822	176	11	(	(	PUNCT
ejpam-5822	176	12	5	5	NUM
ejpam-5822	176	13	)	)	PUNCT
ejpam-5822	176	14	achieves	achieve	VERB
ejpam-5822	176	15	an	an	DET
ejpam-5822	176	16	optimal	optimal	ADJ
ejpam-5822	176	17	convergence	convergence	NOUN
ejpam-5822	176	18	order	order	NOUN
ejpam-5822	176	19	of	of	ADP
ejpam-5822	176	20	sixteen	sixteen	NUM
ejpam-5822	176	21	,	,	PUNCT
ejpam-5822	176	22	provided	provide	VERB
ejpam-5822	176	23	the	the	DET
ejpam-5822	176	24	following	follow	VERB
ejpam-5822	176	25	conditions	condition	NOUN
ejpam-5822	176	26	for	for	ADP
ejpam-5822	176	27	the	the	DET
ejpam-5822	176	28	weight	weight	NOUN
ejpam-5822	176	29	function	function	NOUN
ejpam-5822	176	30	are	be	AUX
ejpam-5822	176	31	satisfied	satisfied	ADJ
ejpam-5822	176	32	:	:	PUNCT
ejpam-5822	176	33	e00	e00	PROPN
ejpam-5822	176	34	=	=	SYM
ejpam-5822	176	35	1	1	NUM
ejpam-5822	176	36	=	=	SYM
ejpam-5822	176	37	e11	e11	X
ejpam-5822	176	38	,	,	PUNCT
ejpam-5822	176	39	e01	e01	NOUN
ejpam-5822	176	40	=	=	SYM
ejpam-5822	176	41	0	0	PUNCT
ejpam-5822	176	42	=	=	SYM
ejpam-5822	176	43	e10	e10	PROPN
ejpam-5822	176	44	=	=	SYM
ejpam-5822	176	45	e02	e02	NOUN
ejpam-5822	176	46	,	,	PUNCT
ejpam-5822	176	47	e03	e03	NOUN
ejpam-5822	176	48	=	=	SYM
ejpam-5822	176	49	−6	−6	NOUN
ejpam-5822	176	50	.	.	PUNCT
ejpam-5822	177	1	(	(	PUNCT
ejpam-5822	177	2	6	6	NUM
ejpam-5822	177	3	)	)	PUNCT
ejpam-5822	177	4	where	where	SCONJ
ejpam-5822	177	5	ei	ei	NOUN
ejpam-5822	177	6	,	,	PUNCT
ejpam-5822	177	7	j	j	NOUN
ejpam-5822	178	1	=	=	PUNCT
ejpam-5822	178	2	[	[	PUNCT
ejpam-5822	178	3	∂e(λ	∂e(λ	PROPN
ejpam-5822	178	4	,	,	PUNCT
ejpam-5822	178	5	ρ	ρ	PROPN
ejpam-5822	178	6	)	)	PUNCT
ejpam-5822	178	7	∂λ	∂λ	PROPN
ejpam-5822	178	8	iρ	iρ	NOUN
ejpam-5822	178	9	j	j	PROPN
ejpam-5822	178	10	1	1	NUM
ejpam-5822	178	11	i	i	NOUN
ejpam-5822	178	12	!	!	PUNCT
ejpam-5822	179	1	j	j	PROPN
ejpam-5822	179	2	!	!	PROPN
ejpam-5822	180	1	]	]	X
ejpam-5822	180	2	(	(	PUNCT
ejpam-5822	180	3	0,0	0,0	NOUN
ejpam-5822	180	4	)	)	PUNCT
ejpam-5822	180	5	and	and	CCONJ
ejpam-5822	180	6	i	i	PRON
ejpam-5822	180	7	,	,	PUNCT
ejpam-5822	180	8	j	j	PROPN
ejpam-5822	180	9	=	=	SYM
ejpam-5822	180	10	0	0	NUM
ejpam-5822	180	11	,	,	PUNCT
ejpam-5822	180	12	1	1	NUM
ejpam-5822	180	13	,	,	PUNCT
ejpam-5822	180	14	2	2	NUM
ejpam-5822	180	15	,	,	PUNCT
ejpam-5822	180	16	3	3	NUM
ejpam-5822	180	17	.	.	X
ejpam-5822	180	18	it	it	PRON
ejpam-5822	180	19	possess	possess	VERB
ejpam-5822	180	20	the	the	DET
ejpam-5822	180	21	error	error	NOUN
ejpam-5822	180	22	relation	relation	NOUN
ejpam-5822	180	23	as	as	SCONJ
ejpam-5822	180	24	follows	follow	VERB
ejpam-5822	180	25	:	:	PUNCT
ejpam-5822	180	26	k	k	PROPN
ejpam-5822	180	27	j+1	j+1	ADV
ejpam-5822	180	28	−	−	NUM
ejpam-5822	180	29	γ	γ	X
ejpam-5822	180	30	=	=	SYM
ejpam-5822	180	31	(	(	PUNCT
ejpam-5822	180	32	1	1	NUM
ejpam-5822	180	33	6	6	NUM
ejpam-5822	180	34	c3	c3	NOUN
ejpam-5822	180	35	3c9	3c9	NUM
ejpam-5822	180	36	2g−6c12	2g−6c12	NOUN
ejpam-5822	180	37	2	2	NUM
ejpam-5822	180	38	c4	c4	NOUN
ejpam-5822	180	39	−	−	PROPN
ejpam-5822	180	40	.	.	PUNCT
ejpam-5822	180	41	.	.	PUNCT
ejpam-5822	181	1	.−	.−	PUNCT
ejpam-5822	182	1	1	1	NUM
ejpam-5822	182	2	6	6	NUM
ejpam-5822	182	3	gc3c13	gc3c13	PROPN
ejpam-5822	182	4	2	2	NUM
ejpam-5822	182	5	b2	b2	NOUN
ejpam-5822	182	6	+3c3	+3c3	NOUN
ejpam-5822	182	7	3c9	3c9	NUM
ejpam-5822	182	8	2a)e16	2a)e16	NUM
ejpam-5822	182	9	j	j	PROPN
ejpam-5822	183	1	+	+	NOUN
ejpam-5822	183	2	o(e17	o(e17	NOUN
ejpam-5822	183	3	j	j	PROPN
ejpam-5822	183	4	)	)	PUNCT
ejpam-5822	183	5	.	.	PUNCT
ejpam-5822	184	1	(	(	PUNCT
ejpam-5822	184	2	7	7	X
ejpam-5822	184	3	)	)	PUNCT
ejpam-5822	184	4	where	where	SCONJ
ejpam-5822	184	5	e	e	PROPN
ejpam-5822	184	6	j	j	PROPN
ejpam-5822	184	7	=	=	SYM
ejpam-5822	184	8	k	k	PROPN
ejpam-5822	184	9	j	j	PROPN
ejpam-5822	184	10	−	−	PROPN
ejpam-5822	184	11	γ	γ	PROPN
ejpam-5822	184	12	and	and	CCONJ
ejpam-5822	184	13	c	c	PROPN
ejpam-5822	184	14	j	j	PROPN
ejpam-5822	184	15	=	=	SYM
ejpam-5822	184	16	g	g	PROPN
ejpam-5822	184	17	(	(	PUNCT
ejpam-5822	184	18	j)(γ	j)(γ	PROPN
ejpam-5822	184	19	)	)	PUNCT
ejpam-5822	184	20	j!g′(γ	j!g′(γ	PROPN
ejpam-5822	184	21	)	)	PUNCT
ejpam-5822	184	22	,	,	PUNCT
ejpam-5822	184	23	j	j	PROPN
ejpam-5822	184	24	=	=	SYM
ejpam-5822	184	25	1	1	NUM
ejpam-5822	184	26	,	,	PUNCT
ejpam-5822	184	27	2	2	NUM
ejpam-5822	184	28	,	,	PUNCT
ejpam-5822	184	29	3	3	NUM
ejpam-5822	184	30	·	·	PUNCT
ejpam-5822	184	31	·	·	PUNCT
ejpam-5822	184	32	·	·	PUNCT
ejpam-5822	184	33	.	.	PUNCT
ejpam-5822	185	1	proof	proof	NOUN
ejpam-5822	185	2	.	.	PUNCT
ejpam-5822	186	1	expanding	expand	VERB
ejpam-5822	186	2	g(k	g(k	PROPN
ejpam-5822	186	3	j	j	PROPN
ejpam-5822	186	4	)	)	PUNCT
ejpam-5822	186	5	around	around	ADP
ejpam-5822	186	6	the	the	DET
ejpam-5822	186	7	simple	simple	ADJ
ejpam-5822	186	8	zero	zero	NUM
ejpam-5822	186	9	γ	γ	NOUN
ejpam-5822	186	10	,	,	PUNCT
ejpam-5822	186	11	using	use	VERB
ejpam-5822	186	12	taylor	taylor	PROPN
ejpam-5822	186	13	’s	’s	PART
ejpam-5822	186	14	expansion	expansion	NOUN
ejpam-5822	186	15	,	,	PUNCT
ejpam-5822	186	16	considering	consider	VERB
ejpam-5822	186	17	that	that	SCONJ
ejpam-5822	186	18	g(γ	g(γ	PROPN
ejpam-5822	186	19	)	)	PUNCT
ejpam-5822	186	20	=	=	SYM
ejpam-5822	186	21	0	0	NUM
ejpam-5822	186	22	:	:	PUNCT
ejpam-5822	186	23	g(k	g(k	VERB
ejpam-5822	186	24	j	j	NOUN
ejpam-5822	186	25	)	)	PUNCT
ejpam-5822	186	26	=	=	PUNCT
ejpam-5822	187	1	g′(γ)(e	g′(γ)(e	X
ejpam-5822	187	2	j	j	PROPN
ejpam-5822	187	3	+	+	CCONJ
ejpam-5822	187	4	c2e2	c2e2	PROPN
ejpam-5822	187	5	j	j	PROPN
ejpam-5822	188	1	+	+	CCONJ
ejpam-5822	188	2	c3e3	c3e3	PROPN
ejpam-5822	188	3	j	j	PROPN
ejpam-5822	188	4	+	+	CCONJ
ejpam-5822	188	5	c4e4	c4e4	PROPN
ejpam-5822	188	6	j	j	PROPN
ejpam-5822	188	7	+	+	CCONJ
ejpam-5822	188	8	c5e5	c5e5	X
ejpam-5822	188	9	j	j	PROPN
ejpam-5822	188	10	+	+	CCONJ
ejpam-5822	188	11	·	·	PUNCT
ejpam-5822	188	12	·	·	PUNCT
ejpam-5822	188	13	·	·	PUNCT
ejpam-5822	189	1	+	+	NUM
ejpam-5822	189	2	c16e16	c16e16	ADJ
ejpam-5822	189	3	j	j	PROPN
ejpam-5822	189	4	)	)	PUNCT
ejpam-5822	190	1	+	+	ADP
ejpam-5822	190	2	o(e17	o(e17	NOUN
ejpam-5822	190	3	j	j	PROPN
ejpam-5822	190	4	)	)	PUNCT
ejpam-5822	190	5	.	.	PUNCT
ejpam-5822	191	1	(	(	PUNCT
ejpam-5822	191	2	8)	8)	NUM
ejpam-5822	191	3	s.	s.	PROPN
ejpam-5822	191	4	akram	akram	PROPN
ejpam-5822	191	5	et	et	PROPN
ejpam-5822	191	6	al	al	PROPN
ejpam-5822	191	7	.	.	PUNCT
ejpam-5822	191	8	/	/	SYM
ejpam-5822	191	9	eur	eur	PROPN
ejpam-5822	191	10	.	.	PUNCT
ejpam-5822	192	1	j.	j.	PROPN
ejpam-5822	192	2	pure	pure	PROPN
ejpam-5822	192	3	appl	appl	PROPN
ejpam-5822	192	4	.	.	PROPN
ejpam-5822	192	5	math	math	PROPN
ejpam-5822	192	6	,	,	PUNCT
ejpam-5822	192	7	18	18	NUM
ejpam-5822	192	8	(	(	PUNCT
ejpam-5822	192	9	2	2	NUM
ejpam-5822	192	10	)	)	PUNCT
ejpam-5822	192	11	(	(	PUNCT
ejpam-5822	192	12	2025	2025	NUM
ejpam-5822	192	13	)	)	PUNCT
ejpam-5822	192	14	,	,	PUNCT
ejpam-5822	192	15	5822	5822	NUM
ejpam-5822	192	16	6	6	NUM
ejpam-5822	192	17	of	of	ADP
ejpam-5822	192	18	26	26	NUM
ejpam-5822	192	19	where	where	SCONJ
ejpam-5822	192	20	c	c	PROPN
ejpam-5822	192	21	j	j	PROPN
ejpam-5822	192	22	=	=	SYM
ejpam-5822	192	23	g	g	PROPN
ejpam-5822	192	24	(	(	PUNCT
ejpam-5822	192	25	j)(γ	j)(γ	PROPN
ejpam-5822	192	26	)	)	PUNCT
ejpam-5822	192	27	j!g′(γ	j!g′(γ	PROPN
ejpam-5822	192	28	)	)	PUNCT
ejpam-5822	192	29	,	,	PUNCT
ejpam-5822	192	30	j	j	PROPN
ejpam-5822	193	1	=	=	SYM
ejpam-5822	193	2	1	1	NUM
ejpam-5822	193	3	,	,	PUNCT
ejpam-5822	193	4	2	2	NUM
ejpam-5822	193	5	,	,	PUNCT
ejpam-5822	193	6	3	3	NUM
ejpam-5822	193	7	·	·	PUNCT
ejpam-5822	193	8	·	·	PUNCT
ejpam-5822	193	9	·	·	PUNCT
ejpam-5822	193	10	.	.	PUNCT
ejpam-5822	194	1	we	we	PRON
ejpam-5822	194	2	define	define	VERB
ejpam-5822	194	3	ζ	ζ	PROPN
ejpam-5822	194	4	j	j	PROPN
ejpam-5822	194	5	as	as	ADP
ejpam-5822	194	6	:	:	PUNCT
ejpam-5822	194	7	ζ	ζ	NOUN
ejpam-5822	194	8	j	j	NOUN
ejpam-5822	195	1	=	=	SYM
ejpam-5822	195	2	k	k	PROPN
ejpam-5822	195	3	j	j	PROPN
ejpam-5822	196	1	+	+	PROPN
ejpam-5822	196	2	βg(k	βg(k	SYM
ejpam-5822	196	3	j	j	NOUN
ejpam-5822	196	4	)	)	PUNCT
ejpam-5822	196	5	4	4	NUM
ejpam-5822	196	6	,	,	PUNCT
ejpam-5822	196	7	ζ	ζ	NOUN
ejpam-5822	196	8	j	j	NOUN
ejpam-5822	196	9	−	−	PROPN
ejpam-5822	196	10	γ	γ	X
ejpam-5822	196	11	=	=	SYM
ejpam-5822	196	12	e	e	PROPN
ejpam-5822	196	13	j	j	PROPN
ejpam-5822	197	1	+	+	NOUN
ejpam-5822	197	2	βe4	βe4	PROPN
ejpam-5822	197	3	j	j	X
ejpam-5822	198	1	+4βc2e5	+4βc2e5	X
ejpam-5822	198	2	j	j	PROPN
ejpam-5822	198	3	+2β	+2β	NUM
ejpam-5822	198	4	(	(	PUNCT
ejpam-5822	198	5	3c2	3c2	NUM
ejpam-5822	198	6	2	2	NUM
ejpam-5822	198	7	+2c3)e6	+2c3)e6	PROPN
ejpam-5822	198	8	j	j	PROPN
ejpam-5822	198	9	+	+	CCONJ
ejpam-5822	198	10	·	·	PUNCT
ejpam-5822	198	11	·	·	PUNCT
ejpam-5822	198	12	·	·	PUNCT
ejpam-5822	198	13	.	.	PUNCT
ejpam-5822	199	1	(	(	PUNCT
ejpam-5822	199	2	9	9	X
ejpam-5822	199	3	)	)	PUNCT
ejpam-5822	199	4	now	now	ADV
ejpam-5822	199	5	we	we	PRON
ejpam-5822	199	6	expand	expand	VERB
ejpam-5822	199	7	g(ζ	g(ζ	PROPN
ejpam-5822	199	8	j	j	PROPN
ejpam-5822	199	9	)	)	PUNCT
ejpam-5822	199	10	using	use	VERB
ejpam-5822	199	11	taylor	taylor	PROPN
ejpam-5822	199	12	expansion	expansion	NOUN
ejpam-5822	199	13	about	about	ADP
ejpam-5822	199	14	γ	γ	NOUN
ejpam-5822	199	15	as	as	ADP
ejpam-5822	199	16	:	:	PUNCT
ejpam-5822	199	17	g(ζ	g(ζ	PROPN
ejpam-5822	199	18	j	j	PROPN
ejpam-5822	199	19	)	)	PUNCT
ejpam-5822	199	20	=	=	PUNCT
ejpam-5822	200	1	g′(γ)(e	g′(γ)(e	X
ejpam-5822	200	2	j	j	PROPN
ejpam-5822	200	3	+	+	CCONJ
ejpam-5822	200	4	c2e2	c2e2	PROPN
ejpam-5822	200	5	j	j	PROPN
ejpam-5822	201	1	+	+	CCONJ
ejpam-5822	201	2	c3e3	c3e3	PROPN
ejpam-5822	201	3	j	j	PROPN
ejpam-5822	201	4	+	+	NOUN
ejpam-5822	201	5	(	(	PUNCT
ejpam-5822	201	6	c4	c4	NOUN
ejpam-5822	201	7	+	+	NOUN
ejpam-5822	201	8	β	β	NOUN
ejpam-5822	201	9	)	)	PUNCT
ejpam-5822	201	10	e4	e4	PROPN
ejpam-5822	201	11	j	j	PROPN
ejpam-5822	201	12	+	+	PROPN
ejpam-5822	201	13	(	(	PUNCT
ejpam-5822	201	14	c5	c5	PROPN
ejpam-5822	201	15	+6βc2)e5	+6βc2)e5	PROPN
ejpam-5822	201	16	j	j	PROPN
ejpam-5822	201	17	+	+	NUM
ejpam-5822	201	18	·	·	PUNCT
ejpam-5822	201	19	·	·	PUNCT
ejpam-5822	201	20	·	·	PUNCT
ejpam-5822	201	21	)	)	PUNCT
ejpam-5822	201	22	.	.	PUNCT
ejpam-5822	202	1	(	(	PUNCT
ejpam-5822	202	2	10	10	NUM
ejpam-5822	202	3	)	)	PUNCT
ejpam-5822	202	4	to	to	PART
ejpam-5822	202	5	compute	compute	VERB
ejpam-5822	202	6	divided	divide	VERB
ejpam-5822	202	7	difference	difference	NOUN
ejpam-5822	202	8	g[ζ	g[ζ	PROPN
ejpam-5822	203	1	j	j	PROPN
ejpam-5822	203	2	,	,	PUNCT
ejpam-5822	203	3	k	k	PROPN
ejpam-5822	203	4	j	j	PROPN
ejpam-5822	203	5	]	]	X
ejpam-5822	203	6	,	,	PUNCT
ejpam-5822	203	7	we	we	PRON
ejpam-5822	203	8	utilized	utilize	VERB
ejpam-5822	203	9	equations	equation	NOUN
ejpam-5822	203	10	(	(	PUNCT
ejpam-5822	203	11	8)	8)	NUM
ejpam-5822	203	12	and	and	CCONJ
ejpam-5822	203	13	(	(	PUNCT
ejpam-5822	203	14	10	10	NUM
ejpam-5822	203	15	)	)	PUNCT
ejpam-5822	203	16	as	as	SCONJ
ejpam-5822	203	17	follows	follow	VERB
ejpam-5822	203	18	:	:	PUNCT
ejpam-5822	203	19	g[ζ	g[ζ	PROPN
ejpam-5822	203	20	j	j	PROPN
ejpam-5822	203	21	,	,	PUNCT
ejpam-5822	203	22	k	k	PROPN
ejpam-5822	203	23	j	j	X
ejpam-5822	203	24	]	]	X
ejpam-5822	203	25	=	=	PUNCT
ejpam-5822	203	26	g(ζ	g(ζ	PROPN
ejpam-5822	203	27	j)−g(k	j)−g(k	PROPN
ejpam-5822	203	28	j	j	PROPN
ejpam-5822	203	29	)	)	PUNCT
ejpam-5822	204	1	w	w	PROPN
ejpam-5822	204	2	j	j	PROPN
ejpam-5822	204	3	−	−	PROPN
ejpam-5822	205	1	k	k	PROPN
ejpam-5822	205	2	j	j	PROPN
ejpam-5822	205	3	,	,	PUNCT
ejpam-5822	205	4	=	=	PUNCT
ejpam-5822	205	5	1	1	NUM
ejpam-5822	205	6	+	+	NUM
ejpam-5822	205	7	2c2e	2c2e	ADJ
ejpam-5822	205	8	j	j	PROPN
ejpam-5822	206	1	+3c3e2	+3c3e2	PROPN
ejpam-5822	206	2	j	j	PROPN
ejpam-5822	206	3	+4c4e3	+4c4e3	INTJ
ejpam-5822	206	4	j	j	PROPN
ejpam-5822	207	1	+	+	PROPN
ejpam-5822	207	2	(	(	PUNCT
ejpam-5822	207	3	5c5	5c5	NUM
ejpam-5822	207	4	+	+	PROPN
ejpam-5822	207	5	βc2)e4	βc2)e4	PROPN
ejpam-5822	207	6	j	j	PROPN
ejpam-5822	207	7	+	+	CCONJ
ejpam-5822	207	8	·	·	PUNCT
ejpam-5822	207	9	·	·	PUNCT
ejpam-5822	207	10	·	·	PUNCT
ejpam-5822	207	11	.	.	PUNCT
ejpam-5822	208	1	(	(	PUNCT
ejpam-5822	208	2	11	11	NUM
ejpam-5822	208	3	)	)	PUNCT
ejpam-5822	208	4	now	now	ADV
ejpam-5822	208	5	,	,	PUNCT
ejpam-5822	208	6	equations	equation	NOUN
ejpam-5822	208	7	(	(	PUNCT
ejpam-5822	208	8	8)	8)	NUM
ejpam-5822	208	9	and	and	CCONJ
ejpam-5822	208	10	(	(	PUNCT
ejpam-5822	208	11	11	11	NUM
ejpam-5822	208	12	)	)	PUNCT
ejpam-5822	208	13	substituting	substitute	VERB
ejpam-5822	208	14	in	in	ADP
ejpam-5822	208	15	the	the	DET
ejpam-5822	208	16	first	first	ADJ
ejpam-5822	208	17	step	step	NOUN
ejpam-5822	208	18	of	of	ADP
ejpam-5822	208	19	method	method	NOUN
ejpam-5822	208	20	(	(	PUNCT
ejpam-5822	208	21	5	5	NUM
ejpam-5822	208	22	)	)	PUNCT
ejpam-5822	208	23	and	and	CCONJ
ejpam-5822	208	24	we	we	PRON
ejpam-5822	208	25	get	get	VERB
ejpam-5822	208	26	:	:	PUNCT
ejpam-5822	209	1	y	y	PROPN
ejpam-5822	209	2	j	j	PROPN
ejpam-5822	209	3	−	−	PROPN
ejpam-5822	209	4	γ	γ	X
ejpam-5822	209	5	=	=	SYM
ejpam-5822	209	6	c2e2	c2e2	PROPN
ejpam-5822	209	7	j	j	PROPN
ejpam-5822	209	8	+	+	PROPN
ejpam-5822	209	9	(	(	PUNCT
ejpam-5822	209	10	2c3	2c3	NUM
ejpam-5822	209	11	−2c2	−2c2	NUM
ejpam-5822	209	12	2)e	2)e	NOUN
ejpam-5822	209	13	3	3	NUM
ejpam-5822	209	14	j	j	NOUN
ejpam-5822	209	15	+	+	PROPN
ejpam-5822	209	16	(	(	PUNCT
ejpam-5822	209	17	3c4	3c4	NUM
ejpam-5822	209	18	−7c2c3	−7c2c3	ADJ
ejpam-5822	209	19	+4c3	+4c3	NOUN
ejpam-5822	209	20	2)e	2)e	PROPN
ejpam-5822	209	21	4	4	NUM
ejpam-5822	209	22	j	j	NOUN
ejpam-5822	209	23	+	+	NUM
ejpam-5822	209	24	·	·	PUNCT
ejpam-5822	209	25	·	·	PUNCT
ejpam-5822	209	26	·	·	PUNCT
ejpam-5822	209	27	.	.	PUNCT
ejpam-5822	210	1	(	(	PUNCT
ejpam-5822	210	2	12	12	NUM
ejpam-5822	210	3	)	)	PUNCT
ejpam-5822	210	4	hence	hence	ADV
ejpam-5822	210	5	,	,	PUNCT
ejpam-5822	210	6	equation	equation	NOUN
ejpam-5822	210	7	(	(	PUNCT
ejpam-5822	210	8	12	12	NUM
ejpam-5822	210	9	)	)	PUNCT
ejpam-5822	210	10	is	be	AUX
ejpam-5822	210	11	achieved	achieve	VERB
ejpam-5822	210	12	second	second	ADJ
ejpam-5822	210	13	order	order	NOUN
ejpam-5822	210	14	convergence	convergence	NOUN
ejpam-5822	210	15	of	of	ADP
ejpam-5822	210	16	method	method	NOUN
ejpam-5822	210	17	(	(	PUNCT
ejpam-5822	210	18	5	5	NUM
ejpam-5822	210	19	)	)	PUNCT
ejpam-5822	210	20	which	which	PRON
ejpam-5822	210	21	is	be	AUX
ejpam-5822	210	22	optimal	optimal	ADJ
ejpam-5822	210	23	.	.	PUNCT
ejpam-5822	211	1	taylor	taylor	NOUN
ejpam-5822	211	2	expansion	expansion	NOUN
ejpam-5822	211	3	of	of	ADP
ejpam-5822	211	4	g(yn	g(yn	PROPN
ejpam-5822	211	5	)	)	PUNCT
ejpam-5822	211	6	about	about	ADP
ejpam-5822	211	7	γ	γ	PROPN
ejpam-5822	211	8	as	as	ADV
ejpam-5822	211	9	well	well	ADV
ejpam-5822	211	10	as	as	ADP
ejpam-5822	211	11	considering	consider	VERB
ejpam-5822	211	12	equation	equation	NOUN
ejpam-5822	211	13	(	(	PUNCT
ejpam-5822	211	14	12	12	NUM
ejpam-5822	211	15	):	):	PUNCT
ejpam-5822	211	16	g(y	g(y	PROPN
ejpam-5822	211	17	j	j	PROPN
ejpam-5822	211	18	)	)	PUNCT
ejpam-5822	212	1	=	=	PUNCT
ejpam-5822	212	2	g′(γ)(c2e2	g′(γ)(c2e2	PROPN
ejpam-5822	213	1	j	j	PROPN
ejpam-5822	213	2	+	+	PROPN
ejpam-5822	213	3	(	(	PUNCT
ejpam-5822	213	4	2c3	2c3	NUM
ejpam-5822	213	5	−2c2	−2c2	NUM
ejpam-5822	213	6	2)e	2)e	NOUN
ejpam-5822	213	7	3	3	NUM
ejpam-5822	213	8	j	j	NOUN
ejpam-5822	213	9	+	+	PROPN
ejpam-5822	213	10	(	(	PUNCT
ejpam-5822	213	11	3c4	3c4	NUM
ejpam-5822	213	12	−7c2c3	−7c2c3	ADJ
ejpam-5822	213	13	+5c3	+5c3	NOUN
ejpam-5822	213	14	2)e	2)e	PROPN
ejpam-5822	213	15	4	4	NUM
ejpam-5822	213	16	j	j	NOUN
ejpam-5822	213	17	+	+	NUM
ejpam-5822	213	18	·	·	PUNCT
ejpam-5822	213	19	·	·	PUNCT
ejpam-5822	213	20	·	·	PUNCT
ejpam-5822	213	21	)	)	PUNCT
ejpam-5822	213	22	.	.	PUNCT
ejpam-5822	214	1	(	(	PUNCT
ejpam-5822	214	2	13	13	NUM
ejpam-5822	214	3	)	)	PUNCT
ejpam-5822	214	4	to	to	PART
ejpam-5822	214	5	determine	determine	VERB
ejpam-5822	214	6	the	the	DET
ejpam-5822	214	7	divided	divide	VERB
ejpam-5822	214	8	difference	difference	NOUN
ejpam-5822	214	9	g[y	g[y	PROPN
ejpam-5822	214	10	j	j	PROPN
ejpam-5822	214	11	,	,	PUNCT
ejpam-5822	214	12	k	k	PROPN
ejpam-5822	214	13	j	j	PROPN
ejpam-5822	214	14	]	]	X
ejpam-5822	214	15	,	,	PUNCT
ejpam-5822	214	16	we	we	PRON
ejpam-5822	214	17	used	use	VERB
ejpam-5822	214	18	equations	equation	NOUN
ejpam-5822	214	19	(	(	PUNCT
ejpam-5822	214	20	8)	8)	NUM
ejpam-5822	214	21	and	and	CCONJ
ejpam-5822	214	22	(	(	PUNCT
ejpam-5822	214	23	13	13	NUM
ejpam-5822	214	24	)	)	PUNCT
ejpam-5822	214	25	subsequently	subsequently	ADV
ejpam-5822	214	26	,	,	PUNCT
ejpam-5822	214	27	we	we	PRON
ejpam-5822	214	28	arrive	arrive	VERB
ejpam-5822	214	29	at	at	ADP
ejpam-5822	214	30	the	the	DET
ejpam-5822	214	31	expression	expression	NOUN
ejpam-5822	214	32	as	as	SCONJ
ejpam-5822	214	33	follows	follow	VERB
ejpam-5822	214	34	:	:	PUNCT
ejpam-5822	214	35	g[y	g[y	PROPN
ejpam-5822	214	36	j	j	PROPN
ejpam-5822	214	37	,	,	PUNCT
ejpam-5822	214	38	k	k	PROPN
ejpam-5822	214	39	j	j	X
ejpam-5822	214	40	]	]	X
ejpam-5822	214	41	=	=	PUNCT
ejpam-5822	214	42	g(k	g(k	VERB
ejpam-5822	214	43	j)−g(y	j)−g(y	PROPN
ejpam-5822	214	44	j	j	PROPN
ejpam-5822	214	45	)	)	PUNCT
ejpam-5822	215	1	k	k	PROPN
ejpam-5822	215	2	j	j	PROPN
ejpam-5822	216	1	−	−	PROPN
ejpam-5822	217	1	y	y	PROPN
ejpam-5822	217	2	j	j	PROPN
ejpam-5822	217	3	,	,	PUNCT
ejpam-5822	217	4	(	(	PUNCT
ejpam-5822	217	5	14	14	NUM
ejpam-5822	217	6	)	)	PUNCT
ejpam-5822	217	7	=	=	SYM
ejpam-5822	218	1	1	1	NUM
ejpam-5822	218	2	+	+	NUM
ejpam-5822	218	3	c2e	c2e	PROPN
ejpam-5822	218	4	j	j	PROPN
ejpam-5822	218	5	+	+	PROPN
ejpam-5822	218	6	(	(	PUNCT
ejpam-5822	218	7	c1	c1	PROPN
ejpam-5822	218	8	+	+	CCONJ
ejpam-5822	218	9	c2	c2	PROPN
ejpam-5822	218	10	2	2	NUM
ejpam-5822	218	11	+	+	CCONJ
ejpam-5822	218	12	c3)e2	c3)e2	VERB
ejpam-5822	218	13	j	j	PROPN
ejpam-5822	218	14	+	+	ADJ
ejpam-5822	218	15	(	(	PUNCT
ejpam-5822	218	16	c4	c4	NOUN
ejpam-5822	218	17	+3c3c2	+3c3c2	ADP
ejpam-5822	218	18	−2c3	−2c3	NUM
ejpam-5822	218	19	2)e	2)e	NUM
ejpam-5822	218	20	3	3	NUM
ejpam-5822	218	21	j	j	NOUN
ejpam-5822	218	22	+	+	NUM
ejpam-5822	218	23	·	·	PUNCT
ejpam-5822	218	24	·	·	PUNCT
ejpam-5822	218	25	·	·	PUNCT
ejpam-5822	218	26	.	.	PUNCT
ejpam-5822	219	1	in	in	ADP
ejpam-5822	219	2	the	the	DET
ejpam-5822	219	3	second	second	ADJ
ejpam-5822	219	4	step	step	NOUN
ejpam-5822	219	5	of	of	ADP
ejpam-5822	219	6	iterative	iterative	NOUN
ejpam-5822	219	7	method	method	NOUN
ejpam-5822	219	8	(	(	PUNCT
ejpam-5822	219	9	5	5	NUM
ejpam-5822	219	10	)	)	PUNCT
ejpam-5822	219	11	,	,	PUNCT
ejpam-5822	219	12	we	we	PRON
ejpam-5822	219	13	used	use	VERB
ejpam-5822	219	14	equations	equation	NOUN
ejpam-5822	219	15	(	(	PUNCT
ejpam-5822	219	16	11	11	NUM
ejpam-5822	219	17	)	)	PUNCT
ejpam-5822	219	18	,	,	PUNCT
ejpam-5822	219	19	(	(	PUNCT
ejpam-5822	219	20	13	13	NUM
ejpam-5822	219	21	)	)	PUNCT
ejpam-5822	219	22	,	,	PUNCT
ejpam-5822	219	23	and	and	CCONJ
ejpam-5822	219	24	(	(	PUNCT
ejpam-5822	219	25	14	14	NUM
ejpam-5822	219	26	)	)	PUNCT
ejpam-5822	219	27	to	to	PART
ejpam-5822	219	28	achieve	achieve	VERB
ejpam-5822	219	29	fourth	fourth	ADJ
ejpam-5822	219	30	order	order	NOUN
ejpam-5822	219	31	convergence	convergence	NOUN
ejpam-5822	219	32	:	:	PUNCT
ejpam-5822	220	1	z	z	NOUN
ejpam-5822	220	2	j	j	NOUN
ejpam-5822	220	3	−	−	PROPN
ejpam-5822	220	4	γ	γ	X
ejpam-5822	220	5	=	=	SYM
ejpam-5822	220	6	(	(	PUNCT
ejpam-5822	220	7	−c2c3	−c2c3	NOUN
ejpam-5822	220	8	+	+	CCONJ
ejpam-5822	220	9	c3	c3	PROPN
ejpam-5822	220	10	2)e	2)e	PROPN
ejpam-5822	220	11	4	4	NUM
ejpam-5822	220	12	j	j	NOUN
ejpam-5822	221	1	+	+	ADJ
ejpam-5822	221	2	(	(	PUNCT
ejpam-5822	221	3	−2c2c4	−2c2c4	ADJ
ejpam-5822	221	4	−4c4	−4c4	NUM
ejpam-5822	221	5	2	2	NUM
ejpam-5822	221	6	+8c2	+8c2	NOUN
ejpam-5822	221	7	2c3	2c3	NUM
ejpam-5822	221	8	−2c2	−2c2	NUM
ejpam-5822	221	9	3)e	3)e	NUM
ejpam-5822	221	10	5	5	NUM
ejpam-5822	221	11	j	j	NOUN
ejpam-5822	221	12	+	+	CCONJ
ejpam-5822	221	13	·	·	PUNCT
ejpam-5822	221	14	·	·	PUNCT
ejpam-5822	221	15	·	·	PUNCT
ejpam-5822	221	16	.	.	PUNCT
ejpam-5822	222	1	(	(	PUNCT
ejpam-5822	222	2	15	15	X
ejpam-5822	222	3	)	)	PUNCT
ejpam-5822	222	4	expanding	expand	VERB
ejpam-5822	222	5	g(z	g(z	PROPN
ejpam-5822	222	6	j	j	PROPN
ejpam-5822	222	7	)	)	PUNCT
ejpam-5822	222	8	about	about	ADP
ejpam-5822	222	9	γ	γ	X
ejpam-5822	222	10	by	by	ADP
ejpam-5822	222	11	using	use	VERB
ejpam-5822	222	12	of	of	ADP
ejpam-5822	222	13	equation	equation	NOUN
ejpam-5822	222	14	(	(	PUNCT
ejpam-5822	222	15	15	15	NUM
ejpam-5822	222	16	)	)	PUNCT
ejpam-5822	222	17	,	,	PUNCT
ejpam-5822	222	18	we	we	PRON
ejpam-5822	222	19	have	have	VERB
ejpam-5822	222	20	:	:	PUNCT
ejpam-5822	222	21	g(z	g(z	PROPN
ejpam-5822	222	22	j	j	NOUN
ejpam-5822	222	23	)	)	PUNCT
ejpam-5822	222	24	=	=	VERB
ejpam-5822	223	1	g′(γ)(c2(−c3	g′(γ)(c2(−c3	PROPN
ejpam-5822	223	2	+	+	CCONJ
ejpam-5822	223	3	c2	c2	PROPN
ejpam-5822	223	4	2)e	2)e	PROPN
ejpam-5822	223	5	4	4	NUM
ejpam-5822	223	6	j	j	NOUN
ejpam-5822	223	7	+	+	ADJ
ejpam-5822	223	8	(	(	PUNCT
ejpam-5822	223	9	−2c2c4	−2c2c4	ADJ
ejpam-5822	223	10	−4c4	−4c4	NUM
ejpam-5822	223	11	2	2	NUM
ejpam-5822	223	12	+8c2	+8c2	NOUN
ejpam-5822	223	13	2c3	2c3	NUM
ejpam-5822	223	14	−2c2	−2c2	NUM
ejpam-5822	223	15	3)e	3)e	NUM
ejpam-5822	223	16	5	5	NUM
ejpam-5822	223	17	j	j	NOUN
ejpam-5822	223	18	+	+	CCONJ
ejpam-5822	223	19	·	·	PUNCT
ejpam-5822	223	20	·	·	PUNCT
ejpam-5822	223	21	·	·	PUNCT
ejpam-5822	223	22	)	)	PUNCT
ejpam-5822	223	23	.	.	PUNCT
ejpam-5822	224	1	(	(	PUNCT
ejpam-5822	224	2	16	16	NUM
ejpam-5822	224	3	)	)	PUNCT
ejpam-5822	224	4	next	next	ADV
ejpam-5822	224	5	,	,	PUNCT
ejpam-5822	224	6	we	we	PRON
ejpam-5822	224	7	derive	derive	VERB
ejpam-5822	224	8	the	the	DET
ejpam-5822	224	9	taylor	taylor	PROPN
ejpam-5822	224	10	expansion	expansion	NOUN
ejpam-5822	224	11	of	of	ADP
ejpam-5822	224	12	the	the	DET
ejpam-5822	224	13	divided	divide	VERB
ejpam-5822	224	14	differences	difference	NOUN
ejpam-5822	224	15	used	use	VERB
ejpam-5822	224	16	in	in	ADP
ejpam-5822	224	17	the	the	DET
ejpam-5822	224	18	third	third	ADJ
ejpam-5822	224	19	step	step	NOUN
ejpam-5822	224	20	of	of	ADP
ejpam-5822	224	21	the	the	DET
ejpam-5822	224	22	scheme	scheme	NOUN
ejpam-5822	224	23	(	(	PUNCT
ejpam-5822	224	24	5	5	NUM
ejpam-5822	224	25	)	)	PUNCT
ejpam-5822	224	26	.	.	PUNCT
ejpam-5822	225	1	employing	employ	VERB
ejpam-5822	225	2	equations	equation	NOUN
ejpam-5822	225	3	(	(	PUNCT
ejpam-5822	225	4	13	13	NUM
ejpam-5822	225	5	)	)	PUNCT
ejpam-5822	225	6	and	and	CCONJ
ejpam-5822	225	7	(	(	PUNCT
ejpam-5822	225	8	16	16	NUM
ejpam-5822	225	9	)	)	PUNCT
ejpam-5822	225	10	we	we	PRON
ejpam-5822	225	11	find	find	VERB
ejpam-5822	225	12	g[y	g[y	PROPN
ejpam-5822	225	13	j	j	PROPN
ejpam-5822	225	14	,	,	PUNCT
ejpam-5822	225	15	z	z	PROPN
ejpam-5822	225	16	j	j	X
ejpam-5822	225	17	]	]	X
ejpam-5822	225	18	,	,	PUNCT
ejpam-5822	225	19	as	as	SCONJ
ejpam-5822	225	20	follows	follow	VERB
ejpam-5822	225	21	:	:	PUNCT
ejpam-5822	225	22	g[y	g[y	PROPN
ejpam-5822	225	23	j	j	PROPN
ejpam-5822	225	24	,	,	PUNCT
ejpam-5822	225	25	z	z	PROPN
ejpam-5822	225	26	j	j	X
ejpam-5822	225	27	]	]	X
ejpam-5822	225	28	=	=	SYM
ejpam-5822	225	29	g(z	g(z	PROPN
ejpam-5822	225	30	j)−g(y	j)−g(y	PROPN
ejpam-5822	225	31	j	j	PROPN
ejpam-5822	225	32	)	)	PUNCT
ejpam-5822	225	33	z	z	PROPN
ejpam-5822	226	1	j	j	PROPN
ejpam-5822	226	2	−	−	PROPN
ejpam-5822	226	3	y	y	PROPN
ejpam-5822	226	4	j	j	PROPN
ejpam-5822	226	5	,	,	PUNCT
ejpam-5822	226	6	=	=	PUNCT
ejpam-5822	227	1	1	1	NUM
ejpam-5822	227	2	+	+	NUM
ejpam-5822	227	3	c2	c2	PROPN
ejpam-5822	227	4	2e2	2e2	PROPN
ejpam-5822	227	5	j	j	PROPN
ejpam-5822	227	6	−2c2(−c3	−2c2(−c3	NUM
ejpam-5822	228	1	+	+	CCONJ
ejpam-5822	228	2	c2	c2	PROPN
ejpam-5822	228	3	2)e	2)e	PROPN
ejpam-5822	228	4	3	3	NUM
ejpam-5822	228	5	j	j	NOUN
ejpam-5822	228	6	+	+	NUM
ejpam-5822	228	7	·	·	PUNCT
ejpam-5822	228	8	·	·	PUNCT
ejpam-5822	228	9	·	·	PUNCT
ejpam-5822	228	10	.	.	PUNCT
ejpam-5822	229	1	(	(	PUNCT
ejpam-5822	229	2	17	17	NUM
ejpam-5822	229	3	)	)	PUNCT
ejpam-5822	229	4	s.	s.	PROPN
ejpam-5822	229	5	akram	akram	PROPN
ejpam-5822	229	6	et	et	PROPN
ejpam-5822	229	7	al	al	PROPN
ejpam-5822	229	8	.	.	PUNCT
ejpam-5822	229	9	/	/	SYM
ejpam-5822	229	10	eur	eur	PROPN
ejpam-5822	229	11	.	.	PUNCT
ejpam-5822	230	1	j.	j.	PROPN
ejpam-5822	230	2	pure	pure	PROPN
ejpam-5822	230	3	appl	appl	PROPN
ejpam-5822	230	4	.	.	PROPN
ejpam-5822	230	5	math	math	PROPN
ejpam-5822	230	6	,	,	PUNCT
ejpam-5822	230	7	18	18	NUM
ejpam-5822	230	8	(	(	PUNCT
ejpam-5822	230	9	2	2	NUM
ejpam-5822	230	10	)	)	PUNCT
ejpam-5822	230	11	(	(	PUNCT
ejpam-5822	230	12	2025	2025	NUM
ejpam-5822	230	13	)	)	PUNCT
ejpam-5822	230	14	,	,	PUNCT
ejpam-5822	230	15	5822	5822	NUM
ejpam-5822	230	16	7	7	NUM
ejpam-5822	230	17	of	of	ADP
ejpam-5822	230	18	26	26	NUM
ejpam-5822	230	19	to	to	PART
ejpam-5822	230	20	find	find	VERB
ejpam-5822	230	21	g[ζ	g[ζ	PROPN
ejpam-5822	230	22	j	j	PROPN
ejpam-5822	230	23	,	,	PUNCT
ejpam-5822	230	24	y	y	PROPN
ejpam-5822	230	25	j	j	PROPN
ejpam-5822	230	26	]	]	X
ejpam-5822	230	27	,	,	PUNCT
ejpam-5822	230	28	we	we	PRON
ejpam-5822	230	29	used	use	VERB
ejpam-5822	230	30	equations	equation	NOUN
ejpam-5822	230	31	(	(	PUNCT
ejpam-5822	230	32	10	10	NUM
ejpam-5822	230	33	)	)	PUNCT
ejpam-5822	230	34	and	and	CCONJ
ejpam-5822	230	35	(	(	PUNCT
ejpam-5822	230	36	13	13	NUM
ejpam-5822	230	37	)	)	PUNCT
ejpam-5822	230	38	and	and	CCONJ
ejpam-5822	230	39	get	get	VERB
ejpam-5822	230	40	the	the	DET
ejpam-5822	230	41	following	follow	VERB
ejpam-5822	230	42	expression	expression	NOUN
ejpam-5822	230	43	:	:	PUNCT
ejpam-5822	231	1	g[ζ	g[ζ	PROPN
ejpam-5822	231	2	j	j	PROPN
ejpam-5822	231	3	,	,	PUNCT
ejpam-5822	231	4	y	y	PROPN
ejpam-5822	231	5	j	j	X
ejpam-5822	231	6	]	]	X
ejpam-5822	231	7	=	=	PUNCT
ejpam-5822	231	8	g(y	g(y	PROPN
ejpam-5822	231	9	j)−g(ζ	j)−g(ζ	PROPN
ejpam-5822	231	10	j	j	PROPN
ejpam-5822	231	11	)	)	PUNCT
ejpam-5822	232	1	y	y	PROPN
ejpam-5822	232	2	j	j	PROPN
ejpam-5822	232	3	−ζ	−ζ	PROPN
ejpam-5822	232	4	j	j	PROPN
ejpam-5822	232	5	,	,	PUNCT
ejpam-5822	232	6	=	=	NOUN
ejpam-5822	233	1	1	1	NUM
ejpam-5822	233	2	+	+	NUM
ejpam-5822	233	3	c2e	c2e	PROPN
ejpam-5822	233	4	j	j	PROPN
ejpam-5822	233	5	+	+	PROPN
ejpam-5822	233	6	(	(	PUNCT
ejpam-5822	233	7	c3	c3	PROPN
ejpam-5822	233	8	+	+	CCONJ
ejpam-5822	233	9	c2	c2	PROPN
ejpam-5822	233	10	2)e	2)e	PROPN
ejpam-5822	233	11	2	2	NUM
ejpam-5822	233	12	j	j	NOUN
ejpam-5822	233	13	+	+	PROPN
ejpam-5822	233	14	(	(	PUNCT
ejpam-5822	233	15	c4	c4	NOUN
ejpam-5822	233	16	−2c3	−2c3	NUM
ejpam-5822	233	17	2	2	NUM
ejpam-5822	233	18	+3c2c3)e3	+3c2c3)e3	NOUN
ejpam-5822	233	19	j	j	PROPN
ejpam-5822	233	20	+	+	CCONJ
ejpam-5822	233	21	·	·	PUNCT
ejpam-5822	233	22	·	·	PUNCT
ejpam-5822	233	23	·	·	PUNCT
ejpam-5822	233	24	.	.	PUNCT
ejpam-5822	234	1	(	(	PUNCT
ejpam-5822	234	2	18	18	NUM
ejpam-5822	234	3	)	)	PUNCT
ejpam-5822	234	4	we	we	PRON
ejpam-5822	234	5	calculated	calculate	VERB
ejpam-5822	234	6	divided	divided	ADJ
ejpam-5822	234	7	difference	difference	NOUN
ejpam-5822	234	8	g[ζ	g[ζ	PROPN
ejpam-5822	235	1	j	j	PROPN
ejpam-5822	235	2	,	,	PUNCT
ejpam-5822	235	3	y	y	PROPN
ejpam-5822	235	4	j	j	PROPN
ejpam-5822	235	5	,	,	PUNCT
ejpam-5822	235	6	z	z	PROPN
ejpam-5822	235	7	j	j	X
ejpam-5822	235	8	]	]	X
ejpam-5822	235	9	,	,	PUNCT
ejpam-5822	235	10	by	by	ADP
ejpam-5822	235	11	using	use	VERB
ejpam-5822	235	12	equations	equation	NOUN
ejpam-5822	235	13	(	(	PUNCT
ejpam-5822	235	14	17	17	NUM
ejpam-5822	235	15	)	)	PUNCT
ejpam-5822	235	16	and	and	CCONJ
ejpam-5822	235	17	(	(	PUNCT
ejpam-5822	235	18	18	18	NUM
ejpam-5822	235	19	):	):	PUNCT
ejpam-5822	235	20	g[ζ	g[ζ	PROPN
ejpam-5822	235	21	j	j	PROPN
ejpam-5822	235	22	,	,	PUNCT
ejpam-5822	235	23	y	y	PROPN
ejpam-5822	235	24	j	j	PROPN
ejpam-5822	235	25	,	,	PUNCT
ejpam-5822	235	26	z	z	PROPN
ejpam-5822	235	27	j	j	X
ejpam-5822	235	28	]	]	X
ejpam-5822	235	29	=	=	SYM
ejpam-5822	235	30	g[y	g[y	PROPN
ejpam-5822	235	31	j	j	PROPN
ejpam-5822	235	32	,	,	PUNCT
ejpam-5822	235	33	z	z	PROPN
ejpam-5822	235	34	j]−g[ζ	j]−g[ζ	PROPN
ejpam-5822	235	35	j	j	PROPN
ejpam-5822	235	36	,	,	PUNCT
ejpam-5822	235	37	y	y	PROPN
ejpam-5822	235	38	j	j	X
ejpam-5822	235	39	]	]	X
ejpam-5822	235	40	z	z	PROPN
ejpam-5822	236	1	j	j	PROPN
ejpam-5822	236	2	−ζ	−ζ	PROPN
ejpam-5822	236	3	j	j	PROPN
ejpam-5822	236	4	,	,	PUNCT
ejpam-5822	236	5	=	=	SYM
ejpam-5822	236	6	c2	c2	PROPN
ejpam-5822	236	7	+	+	CCONJ
ejpam-5822	236	8	c3e	c3e	PROPN
ejpam-5822	236	9	j	j	PROPN
ejpam-5822	237	1	+	+	PROPN
ejpam-5822	237	2	(	(	PUNCT
ejpam-5822	237	3	c4	c4	NOUN
ejpam-5822	237	4	+	+	CCONJ
ejpam-5822	237	5	c2c3)e2	c2c3)e2	X
ejpam-5822	237	6	j	j	PROPN
ejpam-5822	237	7	+	+	CCONJ
ejpam-5822	237	8	·	·	PUNCT
ejpam-5822	237	9	·	·	PUNCT
ejpam-5822	237	10	·	·	PUNCT
ejpam-5822	237	11	.	.	PUNCT
ejpam-5822	238	1	(	(	PUNCT
ejpam-5822	238	2	19	19	NUM
ejpam-5822	238	3	)	)	PUNCT
ejpam-5822	238	4	furthermore	furthermore	ADV
ejpam-5822	238	5	,	,	PUNCT
ejpam-5822	238	6	we	we	PRON
ejpam-5822	238	7	introduce	introduce	VERB
ejpam-5822	238	8	two	two	NUM
ejpam-5822	238	9	variables	variable	NOUN
ejpam-5822	238	10	λ	λ	PROPN
ejpam-5822	238	11	and	and	CCONJ
ejpam-5822	238	12	µ	µ	NOUN
ejpam-5822	238	13	,	,	PUNCT
ejpam-5822	238	14	defined	define	VERB
ejpam-5822	238	15	as	as	SCONJ
ejpam-5822	238	16	follows	follow	VERB
ejpam-5822	238	17	:	:	PUNCT
ejpam-5822	238	18	λ	λ	X
ejpam-5822	238	19	=	=	SYM
ejpam-5822	238	20	g(z	g(z	PROPN
ejpam-5822	238	21	j	j	PROPN
ejpam-5822	238	22	)	)	PUNCT
ejpam-5822	238	23	g(y	g(y	PROPN
ejpam-5822	238	24	j	j	PROPN
ejpam-5822	238	25	)	)	PUNCT
ejpam-5822	238	26	=	=	PUNCT
ejpam-5822	239	1	(	(	PUNCT
ejpam-5822	239	2	c2	c2	PROPN
ejpam-5822	239	3	1	1	NUM
ejpam-5822	240	1	+	+	CCONJ
ejpam-5822	240	2	c2	c2	PROPN
ejpam-5822	240	3	2	2	NUM
ejpam-5822	240	4	−	−	PROPN
ejpam-5822	240	5	c3)e2	c3)e2	NOUN
ejpam-5822	240	6	j	j	PROPN
ejpam-5822	240	7	+	+	NOUN
ejpam-5822	240	8	(	(	PUNCT
ejpam-5822	240	9	−2c4	−2c4	PUNCT
ejpam-5822	240	10	+4c2c3	+4c2c3	PROPN
ejpam-5822	240	11	−2c3	−2c3	NUM
ejpam-5822	240	12	2)e	2)e	NUM
ejpam-5822	240	13	3	3	NUM
ejpam-5822	240	14	j	j	NOUN
ejpam-5822	240	15	+	+	NUM
ejpam-5822	240	16	·	·	PUNCT
ejpam-5822	240	17	·	·	PUNCT
ejpam-5822	240	18	·	·	PUNCT
ejpam-5822	240	19	.	.	PUNCT
ejpam-5822	241	1	(	(	PUNCT
ejpam-5822	241	2	20	20	NUM
ejpam-5822	241	3	)	)	PUNCT
ejpam-5822	241	4	and	and	CCONJ
ejpam-5822	241	5	µ	µ	X
ejpam-5822	241	6	=	=	SYM
ejpam-5822	241	7	g(y	g(y	PROPN
ejpam-5822	241	8	j	j	PROPN
ejpam-5822	241	9	)	)	PUNCT
ejpam-5822	241	10	g(k	g(k	PROPN
ejpam-5822	241	11	j	j	NOUN
ejpam-5822	241	12	)	)	PUNCT
ejpam-5822	242	1	=	=	PUNCT
ejpam-5822	243	1	c2e	c2e	PROPN
ejpam-5822	243	2	j	j	PROPN
ejpam-5822	243	3	+	+	PROPN
ejpam-5822	243	4	(	(	PUNCT
ejpam-5822	243	5	2c3	2c3	NUM
ejpam-5822	243	6	−3c2	−3c2	NUM
ejpam-5822	243	7	2)e	2)e	PROPN
ejpam-5822	243	8	2	2	NUM
ejpam-5822	243	9	j	j	NOUN
ejpam-5822	243	10	+	+	PROPN
ejpam-5822	243	11	(	(	PUNCT
ejpam-5822	243	12	3c4	3c4	NUM
ejpam-5822	243	13	−10c2c3	−10c2c3	NOUN
ejpam-5822	243	14	+8c3	+8c3	VERB
ejpam-5822	243	15	2)e	2)e	PROPN
ejpam-5822	243	16	3	3	NUM
ejpam-5822	243	17	j	j	NOUN
ejpam-5822	243	18	+	+	NUM
ejpam-5822	243	19	·	·	PUNCT
ejpam-5822	243	20	·	·	PUNCT
ejpam-5822	243	21	·	·	PUNCT
ejpam-5822	243	22	.	.	PUNCT
ejpam-5822	244	1	(	(	PUNCT
ejpam-5822	244	2	21	21	NUM
ejpam-5822	244	3	)	)	PUNCT
ejpam-5822	244	4	from	from	ADP
ejpam-5822	244	5	equations	equation	NOUN
ejpam-5822	244	6	(	(	PUNCT
ejpam-5822	244	7	20	20	NUM
ejpam-5822	244	8	)	)	PUNCT
ejpam-5822	244	9	and	and	CCONJ
ejpam-5822	244	10	(	(	PUNCT
ejpam-5822	244	11	21	21	NUM
ejpam-5822	244	12	)	)	PUNCT
ejpam-5822	244	13	it	it	PRON
ejpam-5822	244	14	was	be	AUX
ejpam-5822	244	15	observed	observe	VERB
ejpam-5822	244	16	that	that	SCONJ
ejpam-5822	244	17	λ	λ	PROPN
ejpam-5822	244	18	exhibits	exhibit	VERB
ejpam-5822	244	19	second	second	ADJ
ejpam-5822	244	20	-	-	PUNCT
ejpam-5822	244	21	order	order	NOUN
ejpam-5822	244	22	convergence	convergence	NOUN
ejpam-5822	244	23	,	,	PUNCT
ejpam-5822	244	24	while	while	SCONJ
ejpam-5822	244	25	µ	µ	PRON
ejpam-5822	244	26	demonstrates	demonstrate	VERB
ejpam-5822	244	27	first	first	ADJ
ejpam-5822	244	28	-	-	PUNCT
ejpam-5822	244	29	order	order	NOUN
ejpam-5822	244	30	convergence	convergence	NOUN
ejpam-5822	244	31	.	.	PUNCT
ejpam-5822	245	1	now	now	ADV
ejpam-5822	245	2	,	,	PUNCT
ejpam-5822	245	3	the	the	DET
ejpam-5822	245	4	bivariate	bivariate	ADJ
ejpam-5822	245	5	weight	weight	NOUN
ejpam-5822	245	6	function	function	NOUN
ejpam-5822	245	7	e(λ	e(λ	PROPN
ejpam-5822	245	8	,	,	PUNCT
ejpam-5822	245	9	µ	µ	NOUN
ejpam-5822	245	10	)	)	PUNCT
ejpam-5822	245	11	was	be	AUX
ejpam-5822	245	12	expanded	expand	VERB
ejpam-5822	245	13	using	use	VERB
ejpam-5822	245	14	a	a	DET
ejpam-5822	245	15	taylor	taylor	PROPN
ejpam-5822	245	16	series	series	PROPN
ejpam-5822	245	17	expansion	expansion	NOUN
ejpam-5822	245	18	up	up	ADP
ejpam-5822	245	19	to	to	ADP
ejpam-5822	245	20	the	the	DET
ejpam-5822	245	21	fifth	fifth	ADJ
ejpam-5822	245	22	term	term	NOUN
ejpam-5822	245	23	,	,	PUNCT
ejpam-5822	245	24	as	as	SCONJ
ejpam-5822	245	25	illustrated	illustrate	VERB
ejpam-5822	245	26	:	:	PUNCT
ejpam-5822	245	27	e(λ	e(λ	PROPN
ejpam-5822	245	28	,	,	PUNCT
ejpam-5822	245	29	µ	µ	NOUN
ejpam-5822	245	30	)	)	PUNCT
ejpam-5822	245	31	=	=	SYM
ejpam-5822	245	32	e00	e00	PROPN
ejpam-5822	246	1	+	+	PROPN
ejpam-5822	246	2	(	(	PUNCT
ejpam-5822	246	3	λe10	λe10	PROPN
ejpam-5822	246	4	+	+	PROPN
ejpam-5822	246	5	µe01)+	µe01)+	PROPN
ejpam-5822	246	6	1	1	NUM
ejpam-5822	246	7	2	2	NUM
ejpam-5822	246	8	!	!	PUNCT
ejpam-5822	247	1	(	(	PUNCT
ejpam-5822	247	2	λ	λ	X
ejpam-5822	247	3	2e20	2e20	X
ejpam-5822	247	4	+2λ	+2λ	NUM
ejpam-5822	248	1	µe11	µe11	PROPN
ejpam-5822	248	2	+	+	PROPN
ejpam-5822	248	3	µ	µ	NOUN
ejpam-5822	248	4	2e02	2e02	NUM
ejpam-5822	248	5	)	)	PUNCT
ejpam-5822	248	6	+	+	CCONJ
ejpam-5822	248	7	1	1	NUM
ejpam-5822	248	8	3	3	NUM
ejpam-5822	248	9	!	!	PUNCT
ejpam-5822	248	10	(	(	PUNCT
ejpam-5822	248	11	λ	λ	X
ejpam-5822	248	12	3e30	3e30	NUM
ejpam-5822	248	13	+3λ	+3λ	SYM
ejpam-5822	248	14	2	2	NUM
ejpam-5822	248	15	µe21	µe21	PROPN
ejpam-5822	248	16	+3λ	+3λ	PROPN
ejpam-5822	248	17	µ	µ	PRON
ejpam-5822	248	18	2e12	2e12	NOUN
ejpam-5822	248	19	+	+	NOUN
ejpam-5822	248	20	µ	µ	NOUN
ejpam-5822	248	21	3e03)+	3e03)+	NUM
ejpam-5822	248	22	1	1	NUM
ejpam-5822	248	23	4	4	NUM
ejpam-5822	248	24	!	!	PUNCT
ejpam-5822	249	1	(	(	PUNCT
ejpam-5822	249	2	λ	λ	X
ejpam-5822	249	3	4e40	4e40	NUM
ejpam-5822	249	4	+4λ	+4λ	NUM
ejpam-5822	249	5	3	3	NUM
ejpam-5822	250	1	µe31	µe31	NOUN
ejpam-5822	250	2	+6λ	+6λ	NUM
ejpam-5822	250	3	2	2	NUM
ejpam-5822	250	4	µ	µ	DET
ejpam-5822	250	5	2e22	2e22	NUM
ejpam-5822	250	6	+4λ	+4λ	NUM
ejpam-5822	250	7	µ	µ	PRON
ejpam-5822	250	8	3e13	3e13	NOUN
ejpam-5822	250	9	+	+	PROPN
ejpam-5822	250	10	λ	λ	X
ejpam-5822	250	11	4e04)+	4e04)+	NOUN
ejpam-5822	250	12	1	1	NUM
ejpam-5822	250	13	5	5	NUM
ejpam-5822	250	14	!	!	PUNCT
ejpam-5822	251	1	(	(	PUNCT
ejpam-5822	251	2	λ	λ	X
ejpam-5822	251	3	5e50	5e50	NOUN
ejpam-5822	251	4	+5λ	+5λ	NUM
ejpam-5822	251	5	4	4	NUM
ejpam-5822	251	6	µe41	µe41	PROPN
ejpam-5822	251	7	+10λ	+10λ	PUNCT
ejpam-5822	251	8	3	3	NUM
ejpam-5822	251	9	µ	µ	NOUN
ejpam-5822	251	10	2e32	2e32	NUM
ejpam-5822	251	11	+10λ	+10λ	SYM
ejpam-5822	251	12	2	2	NUM
ejpam-5822	251	13	µ	µ	NUM
ejpam-5822	251	14	3e23	3e23	NUM
ejpam-5822	251	15	+5λ	+5λ	NUM
ejpam-5822	251	16	µ	µ	PRON
ejpam-5822	251	17	4e14	4e14	NUM
ejpam-5822	251	18	+	+	NOUN
ejpam-5822	251	19	µ	µ	NOUN
ejpam-5822	251	20	5e05	5e05	NUM
ejpam-5822	251	21	)	)	PUNCT
ejpam-5822	251	22	.	.	PUNCT
ejpam-5822	252	1	(	(	PUNCT
ejpam-5822	252	2	22	22	NUM
ejpam-5822	252	3	)	)	PUNCT
ejpam-5822	252	4	in	in	ADP
ejpam-5822	252	5	third	third	ADJ
ejpam-5822	252	6	step	step	NOUN
ejpam-5822	252	7	of	of	ADP
ejpam-5822	252	8	scheme	scheme	NOUN
ejpam-5822	252	9	(	(	PUNCT
ejpam-5822	252	10	5	5	NUM
ejpam-5822	252	11	)	)	PUNCT
ejpam-5822	252	12	,	,	PUNCT
ejpam-5822	252	13	we	we	PRON
ejpam-5822	252	14	substituted	substitute	VERB
ejpam-5822	252	15	equations	equation	NOUN
ejpam-5822	252	16	(	(	PUNCT
ejpam-5822	252	17	16	16	NUM
ejpam-5822	252	18	)	)	PUNCT
ejpam-5822	252	19	,	,	PUNCT
ejpam-5822	252	20	(	(	PUNCT
ejpam-5822	252	21	17	17	NUM
ejpam-5822	252	22	)	)	PUNCT
ejpam-5822	252	23	,	,	PUNCT
ejpam-5822	252	24	(	(	PUNCT
ejpam-5822	252	25	19	19	NUM
ejpam-5822	252	26	)	)	PUNCT
ejpam-5822	252	27	,	,	PUNCT
ejpam-5822	252	28	and	and	CCONJ
ejpam-5822	252	29	(	(	PUNCT
ejpam-5822	252	30	22	22	NUM
ejpam-5822	252	31	)	)	PUNCT
ejpam-5822	252	32	as	as	ADP
ejpam-5822	252	33	:	:	PUNCT
ejpam-5822	252	34	t	t	PROPN
ejpam-5822	252	35	j	j	PROPN
ejpam-5822	252	36	−	−	PROPN
ejpam-5822	252	37	γ	γ	X
ejpam-5822	252	38	=	=	SYM
ejpam-5822	252	39	(	(	PUNCT
ejpam-5822	252	40	−c2c3	−c2c3	NOUN
ejpam-5822	252	41	+	+	CCONJ
ejpam-5822	252	42	c3	c3	PROPN
ejpam-5822	252	43	2	2	NUM
ejpam-5822	252	44	+	+	NUM
ejpam-5822	252	45	c2e00c3	c2e00c3	NOUN
ejpam-5822	252	46	−	−	PROPN
ejpam-5822	253	1	c3	c3	PROPN
ejpam-5822	253	2	2e00	2e00	PROPN
ejpam-5822	253	3	)	)	PUNCT
ejpam-5822	254	1	e4	e4	PROPN
ejpam-5822	254	2	j	j	PROPN
ejpam-5822	254	3	+	+	PROPN
ejpam-5822	254	4	(	(	PUNCT
ejpam-5822	254	5	−4c4	−4c4	NUM
ejpam-5822	254	6	2	2	NUM
ejpam-5822	254	7	+8c2	+8c2	NUM
ejpam-5822	254	8	2c3	2c3	NUM
ejpam-5822	254	9	−2c2c4	−2c2c4	NOUN
ejpam-5822	254	10	−2c2	−2c2	NUM
ejpam-5822	254	11	3	3	NUM
ejpam-5822	254	12	−	−	PROPN
ejpam-5822	254	13	c2	c2	PROPN
ejpam-5822	254	14	2(c2	2(c2	NUM
ejpam-5822	254	15	−	−	NOUN
ejpam-5822	254	16	c3)e01(−4c4	c3)e01(−4c4	PROPN
ejpam-5822	254	17	2	2	NUM
ejpam-5822	254	18	+8c2	+8c2	NUM
ejpam-5822	254	19	2c3	2c3	NUM
ejpam-5822	254	20	−2c2c4	−2c2c4	NOUN
ejpam-5822	254	21	−2c2	−2c2	NUM
ejpam-5822	254	22	3)e00)e5	3)e00)e5	NUM
ejpam-5822	254	23	j	j	PROPN
ejpam-5822	255	1	+	+	CCONJ
ejpam-5822	255	2	(	(	PUNCT
ejpam-5822	255	3	10c5	10c5	NUM
ejpam-5822	255	4	2	2	NUM
ejpam-5822	255	5	−30c3	−30c3	SYM
ejpam-5822	255	6	2c3	2c3	NUM
ejpam-5822	255	7	−βc2	−βc2	PROPN
ejpam-5822	255	8	2	2	NUM
ejpam-5822	255	9	+12c2	+12c2	NUM
ejpam-5822	255	10	2c4	2c4	NUM
ejpam-5822	255	11	+18c2c2	+18c2c2	PROPN
ejpam-5822	255	12	3	3	NUM
ejpam-5822	255	13	−3c2c5	−3c2c5	PROPN
ejpam-5822	255	14	−7c3c4	−7c3c4	PROPN
ejpam-5822	255	15	)	)	PUNCT
ejpam-5822	255	16	−1	−1	NOUN
ejpam-5822	256	1	2	2	NUM
ejpam-5822	256	2	e02c5	e02c5	NOUN
ejpam-5822	256	3	2	2	NUM
ejpam-5822	256	4	+	+	CCONJ
ejpam-5822	256	5	1	1	NUM
ejpam-5822	256	6	2	2	NUM
ejpam-5822	256	7	e02c3	e02c3	NOUN
ejpam-5822	256	8	2c3	2c3	NUM
ejpam-5822	256	9	−e10c5	−e10c5	X
ejpam-5822	256	10	2	2	NUM
ejpam-5822	256	11	+2e10c3	+2e10c3	NOUN
ejpam-5822	256	12	2c3	2c3	NUM
ejpam-5822	256	13	−e10c2c2	−e10c2c2	PROPN
ejpam-5822	256	14	3	3	NUM
ejpam-5822	256	15	+7e01c5	+7e01c5	ADJ
ejpam-5822	256	16	2	2	NUM
ejpam-5822	256	17	−13e01c3	−13e01c3	NOUN
ejpam-5822	256	18	2c3	2c3	NUM
ejpam-5822	256	19	+4e01c2c2	+4e01c2c2	SYM
ejpam-5822	256	20	3	3	NUM
ejpam-5822	256	21	−10e00c5	−10e00c5	NOUN
ejpam-5822	256	22	2	2	NUM
ejpam-5822	256	23	+30e00c3	+30e00c3	SYM
ejpam-5822	256	24	2c3	2c3	NUM
ejpam-5822	256	25	+	+	NOUN
ejpam-5822	256	26	e00βc2	e00βc2	PROPN
ejpam-5822	256	27	2	2	NUM
ejpam-5822	256	28	−12e00c2	−12e00c2	NOUN
ejpam-5822	256	29	2c4	2c4	NUM
ejpam-5822	256	30	−18e00c2c2	−18e00c2c2	NUM
ejpam-5822	256	31	3	3	NUM
ejpam-5822	256	32	−3e00c2c5	−3e00c2c5	NOUN
ejpam-5822	256	33	+7e00c3c4	+7e00c3c4	PUNCT
ejpam-5822	256	34	)	)	PUNCT
ejpam-5822	257	1	e6	e6	PROPN
ejpam-5822	257	2	j	j	PROPN
ejpam-5822	257	3	+	+	PROPN
ejpam-5822	257	4	·	·	PUNCT
ejpam-5822	257	5	·	·	PUNCT
ejpam-5822	257	6	·	·	PUNCT
ejpam-5822	257	7	.	.	PUNCT
ejpam-5822	258	1	(	(	PUNCT
ejpam-5822	258	2	23	23	NUM
ejpam-5822	258	3	)	)	PUNCT
ejpam-5822	258	4	s.	s.	PROPN
ejpam-5822	258	5	akram	akram	PROPN
ejpam-5822	258	6	et	et	PROPN
ejpam-5822	258	7	al	al	PROPN
ejpam-5822	258	8	.	.	PUNCT
ejpam-5822	258	9	/	/	SYM
ejpam-5822	258	10	eur	eur	PROPN
ejpam-5822	258	11	.	.	PUNCT
ejpam-5822	259	1	j.	j.	PROPN
ejpam-5822	259	2	pure	pure	PROPN
ejpam-5822	259	3	appl	appl	PROPN
ejpam-5822	259	4	.	.	PROPN
ejpam-5822	259	5	math	math	PROPN
ejpam-5822	259	6	,	,	PUNCT
ejpam-5822	259	7	18	18	NUM
ejpam-5822	259	8	(	(	PUNCT
ejpam-5822	259	9	2	2	NUM
ejpam-5822	259	10	)	)	PUNCT
ejpam-5822	259	11	(	(	PUNCT
ejpam-5822	259	12	2025	2025	NUM
ejpam-5822	259	13	)	)	PUNCT
ejpam-5822	259	14	,	,	PUNCT
ejpam-5822	259	15	5822	5822	NUM
ejpam-5822	259	16	8	8	NUM
ejpam-5822	259	17	of	of	ADP
ejpam-5822	259	18	26	26	NUM
ejpam-5822	259	19	equation	equation	NOUN
ejpam-5822	259	20	(	(	PUNCT
ejpam-5822	259	21	23	23	NUM
ejpam-5822	259	22	)	)	PUNCT
ejpam-5822	259	23	demonstrates	demonstrate	VERB
ejpam-5822	259	24	fourth	fourth	ADJ
ejpam-5822	259	25	-	-	PUNCT
ejpam-5822	259	26	order	order	NOUN
ejpam-5822	259	27	convergence	convergence	NOUN
ejpam-5822	259	28	.	.	PUNCT
ejpam-5822	260	1	to	to	PART
ejpam-5822	260	2	achieve	achieve	VERB
ejpam-5822	260	3	eighth	eighth	ADJ
ejpam-5822	260	4	-	-	PUNCT
ejpam-5822	260	5	order	order	NOUN
ejpam-5822	260	6	convergence	convergence	NOUN
ejpam-5822	260	7	,	,	PUNCT
ejpam-5822	260	8	we	we	PRON
ejpam-5822	260	9	employed	employ	VERB
ejpam-5822	260	10	the	the	DET
ejpam-5822	260	11	following	following	ADJ
ejpam-5822	260	12	values	value	NOUN
ejpam-5822	260	13	:	:	PUNCT
ejpam-5822	260	14	e00	e00	PROPN
ejpam-5822	260	15	=	=	SYM
ejpam-5822	260	16	1	1	NUM
ejpam-5822	260	17	=	=	SYM
ejpam-5822	260	18	e11	e11	X
ejpam-5822	260	19	,	,	PUNCT
ejpam-5822	260	20	e01	e01	NOUN
ejpam-5822	260	21	=	=	SYM
ejpam-5822	260	22	0	0	PUNCT
ejpam-5822	260	23	=	=	SYM
ejpam-5822	260	24	e10	e10	PROPN
ejpam-5822	260	25	=	=	SYM
ejpam-5822	260	26	e02	e02	NOUN
ejpam-5822	260	27	,	,	PUNCT
ejpam-5822	260	28	e03	e03	NOUN
ejpam-5822	260	29	=	=	SYM
ejpam-5822	260	30	−6	−6	NOUN
ejpam-5822	260	31	.	.	PUNCT
ejpam-5822	261	1	(	(	PUNCT
ejpam-5822	261	2	24	24	NUM
ejpam-5822	261	3	)	)	PUNCT
ejpam-5822	261	4	by	by	ADP
ejpam-5822	261	5	substituting	substitute	VERB
ejpam-5822	261	6	the	the	DET
ejpam-5822	261	7	values	value	NOUN
ejpam-5822	261	8	(	(	PUNCT
ejpam-5822	261	9	24	24	NUM
ejpam-5822	261	10	)	)	PUNCT
ejpam-5822	261	11	in	in	ADP
ejpam-5822	261	12	equation	equation	NOUN
ejpam-5822	261	13	(	(	PUNCT
ejpam-5822	261	14	23	23	NUM
ejpam-5822	261	15	)	)	PUNCT
ejpam-5822	261	16	we	we	PRON
ejpam-5822	261	17	get	get	VERB
ejpam-5822	261	18	the	the	DET
ejpam-5822	261	19	error	error	NOUN
ejpam-5822	261	20	term	term	NOUN
ejpam-5822	261	21	as	as	ADP
ejpam-5822	261	22	:	:	PUNCT
ejpam-5822	261	23	t	t	PROPN
ejpam-5822	261	24	j	j	PROPN
ejpam-5822	261	25	−	−	PROPN
ejpam-5822	261	26	γ	γ	X
ejpam-5822	261	27	=	=	SYM
ejpam-5822	261	28	(	(	PUNCT
ejpam-5822	261	29	−c2	−c2	PROPN
ejpam-5822	261	30	2c4c3	2c4c3	NUM
ejpam-5822	261	31	−	−	NOUN
ejpam-5822	261	32	3	3	NUM
ejpam-5822	261	33	2	2	NUM
ejpam-5822	261	34	(	(	PUNCT
ejpam-5822	261	35	b2c2	b2c2	ADP
ejpam-5822	261	36	3c3	3c3	NUM
ejpam-5822	261	37	2)−	2)−	NUM
ejpam-5822	261	38	1	1	NUM
ejpam-5822	261	39	2	2	NUM
ejpam-5822	261	40	(	(	PUNCT
ejpam-5822	261	41	ac2	ac2	PROPN
ejpam-5822	261	42	3c3	3c3	NUM
ejpam-5822	261	43	2)+	2)+	NUM
ejpam-5822	261	44	·	·	PUNCT
ejpam-5822	261	45	·	·	PUNCT
ejpam-5822	262	1	·	·	PUNCT
ejpam-5822	262	2	−	−	NOUN
ejpam-5822	262	3	1	1	NUM
ejpam-5822	262	4	2	2	NUM
ejpam-5822	262	5	(	(	PUNCT
ejpam-5822	262	6	b2c7	b2c7	X
ejpam-5822	262	7	2))e	2))e	NUM
ejpam-5822	262	8	8	8	NUM
ejpam-5822	262	9	j	j	NOUN
ejpam-5822	262	10	+	+	NUM
ejpam-5822	262	11	·	·	PUNCT
ejpam-5822	262	12	·	·	PUNCT
ejpam-5822	262	13	·	·	PUNCT
ejpam-5822	262	14	.	.	PUNCT
ejpam-5822	263	1	(	(	PUNCT
ejpam-5822	263	2	25	25	NUM
ejpam-5822	263	3	)	)	PUNCT
ejpam-5822	263	4	by	by	ADP
ejpam-5822	263	5	utilizing	utilize	VERB
ejpam-5822	263	6	equation	equation	NOUN
ejpam-5822	263	7	(	(	PUNCT
ejpam-5822	263	8	25	25	NUM
ejpam-5822	263	9	)	)	PUNCT
ejpam-5822	263	10	,	,	PUNCT
ejpam-5822	263	11	we	we	PRON
ejpam-5822	263	12	successfully	successfully	ADV
ejpam-5822	263	13	attained	attain	VERB
ejpam-5822	263	14	optimal	optimal	ADJ
ejpam-5822	263	15	eighth	eighth	ADJ
ejpam-5822	263	16	-	-	PUNCT
ejpam-5822	263	17	order	order	NOUN
ejpam-5822	263	18	convergence	convergence	NOUN
ejpam-5822	263	19	.	.	PUNCT
ejpam-5822	264	1	employing	employ	VERB
ejpam-5822	264	2	taylor	taylor	PROPN
ejpam-5822	264	3	series	series	PROPN
ejpam-5822	264	4	expansion	expansion	NOUN
ejpam-5822	264	5	,	,	PUNCT
ejpam-5822	264	6	we	we	PRON
ejpam-5822	264	7	computed	compute	VERB
ejpam-5822	264	8	g(t	g(t	PROPN
ejpam-5822	264	9	j	j	PROPN
ejpam-5822	264	10	)	)	PUNCT
ejpam-5822	264	11	,	,	PUNCT
ejpam-5822	264	12	yielding	yield	VERB
ejpam-5822	264	13	the	the	DET
ejpam-5822	264	14	following	follow	VERB
ejpam-5822	264	15	expression	expression	NOUN
ejpam-5822	264	16	:	:	PUNCT
ejpam-5822	264	17	g(t	g(t	PROPN
ejpam-5822	264	18	j	j	PROPN
ejpam-5822	264	19	)	)	PUNCT
ejpam-5822	264	20	=	=	PUNCT
ejpam-5822	265	1	g′(γ)(−	g′(γ)(−	VERB
ejpam-5822	265	2	1	1	NUM
ejpam-5822	265	3	24	24	NUM
ejpam-5822	265	4	{	{	PUNCT
ejpam-5822	265	5	c2(24c3c4c2	c2(24c3c4c2	VERB
ejpam-5822	265	6	+12c6	+12c6	PROPN
ejpam-5822	265	7	2b2	2b2	NUM
ejpam-5822	265	8	−48c2	−48c2	PROPN
ejpam-5822	265	9	3c2	3c2	NUM
ejpam-5822	265	10	2	2	NUM
ejpam-5822	265	11	+	+	SYM
ejpam-5822	265	12	c6	c6	PROPN
ejpam-5822	265	13	2g+12c6	2g+12c6	NUM
ejpam-5822	266	1	2a−	2a−	PROPN
ejpam-5822	266	2	·	·	PUNCT
ejpam-5822	266	3	·	·	PUNCT
ejpam-5822	266	4	·	·	PUNCT
ejpam-5822	266	5	)	)	PUNCT
ejpam-5822	266	6	}	}	PUNCT
ejpam-5822	266	7	e8	e8	PROPN
ejpam-5822	266	8	j	j	PROPN
ejpam-5822	266	9	+	+	PROPN
ejpam-5822	266	10	·	·	PUNCT
ejpam-5822	266	11	·	·	PUNCT
ejpam-5822	266	12	·	·	PUNCT
ejpam-5822	266	13	)	)	PUNCT
ejpam-5822	266	14	.	.	PUNCT
ejpam-5822	267	1	(	(	PUNCT
ejpam-5822	267	2	26	26	NUM
ejpam-5822	267	3	)	)	PUNCT
ejpam-5822	267	4	firstly	firstly	ADV
ejpam-5822	267	5	,	,	PUNCT
ejpam-5822	267	6	we	we	PRON
ejpam-5822	267	7	calculate	calculate	VERB
ejpam-5822	267	8	(	(	PUNCT
ejpam-5822	267	9	t	t	NOUN
ejpam-5822	267	10	j−k	j−k	NOUN
ejpam-5822	267	11	j)(t	j)(t	PROPN
ejpam-5822	267	12	j−z	j−z	NOUN
ejpam-5822	267	13	j)(t	j)(t	ADJ
ejpam-5822	267	14	j−y	j−y	ADV
ejpam-5822	267	15	j)g(ζ	j)g(ζ	PROPN
ejpam-5822	267	16	j	j	PROPN
ejpam-5822	267	17	)	)	PUNCT
ejpam-5822	267	18	(	(	PUNCT
ejpam-5822	267	19	ζ	ζ	NOUN
ejpam-5822	267	20	j−t	j−t	ADJ
ejpam-5822	267	21	j)(ζ	j)(ζ	NOUN
ejpam-5822	267	22	j−k	j−k	NOUN
ejpam-5822	267	23	j)(ζ	j)(ζ	NOUN
ejpam-5822	267	24	j−z	j−z	PROPN
ejpam-5822	267	25	j)(ζ	j)(ζ	PROPN
ejpam-5822	267	26	j−y	j−y	PROPN
ejpam-5822	267	27	j	j	NOUN
ejpam-5822	267	28	)	)	PUNCT
ejpam-5822	267	29	term	term	NOUN
ejpam-5822	267	30	by	by	ADP
ejpam-5822	267	31	utilizing	utilize	VERB
ejpam-5822	267	32	equations	equation	NOUN
ejpam-5822	267	33	(	(	PUNCT
ejpam-5822	267	34	9	9	NUM
ejpam-5822	267	35	)	)	PUNCT
ejpam-5822	267	36	,	,	PUNCT
ejpam-5822	267	37	(	(	PUNCT
ejpam-5822	267	38	10	10	NUM
ejpam-5822	267	39	)	)	PUNCT
ejpam-5822	267	40	,	,	PUNCT
ejpam-5822	267	41	(	(	PUNCT
ejpam-5822	267	42	12	12	NUM
ejpam-5822	267	43	)	)	PUNCT
ejpam-5822	267	44	,	,	PUNCT
ejpam-5822	267	45	(	(	PUNCT
ejpam-5822	267	46	15	15	NUM
ejpam-5822	267	47	)	)	PUNCT
ejpam-5822	267	48	,	,	PUNCT
ejpam-5822	267	49	and	and	CCONJ
ejpam-5822	267	50	(	(	PUNCT
ejpam-5822	267	51	25	25	NUM
ejpam-5822	267	52	)	)	PUNCT
ejpam-5822	267	53	as	as	ADP
ejpam-5822	267	54	:	:	PUNCT
ejpam-5822	267	55	(	(	PUNCT
ejpam-5822	267	56	t	t	PROPN
ejpam-5822	267	57	j	j	PROPN
ejpam-5822	268	1	−	−	PROPN
ejpam-5822	268	2	k	k	PROPN
ejpam-5822	268	3	j)(t	j)(t	PROPN
ejpam-5822	268	4	j	j	PROPN
ejpam-5822	269	1	−	−	PROPN
ejpam-5822	269	2	z	z	PROPN
ejpam-5822	269	3	j)(t	j)(t	PROPN
ejpam-5822	269	4	j	j	PROPN
ejpam-5822	269	5	−	−	PROPN
ejpam-5822	270	1	y	y	PROPN
ejpam-5822	270	2	j)g(ζ	j)g(ζ	PROPN
ejpam-5822	270	3	j	j	PROPN
ejpam-5822	270	4	)	)	PUNCT
ejpam-5822	271	1	(	(	PUNCT
ejpam-5822	271	2	ζ	ζ	NOUN
ejpam-5822	271	3	j	j	PROPN
ejpam-5822	271	4	−	−	PROPN
ejpam-5822	271	5	t	t	PROPN
ejpam-5822	271	6	j)(ζ	j)(ζ	PROPN
ejpam-5822	271	7	j	j	PROPN
ejpam-5822	271	8	−	−	PROPN
ejpam-5822	272	1	k	k	PROPN
ejpam-5822	272	2	j)(ζ	j)(ζ	PROPN
ejpam-5822	273	1	j	j	PROPN
ejpam-5822	273	2	−	−	PROPN
ejpam-5822	273	3	z	z	PROPN
ejpam-5822	273	4	j)(ζ	j)(ζ	PROPN
ejpam-5822	274	1	j	j	X
ejpam-5822	274	2	−	−	PROPN
ejpam-5822	274	3	y	y	PROPN
ejpam-5822	274	4	j	j	PROPN
ejpam-5822	274	5	)	)	PUNCT
ejpam-5822	274	6	=	=	SYM
ejpam-5822	275	1	−c2	−c2	PROPN
ejpam-5822	275	2	2(−c3	2(−c3	NUM
ejpam-5822	276	1	+	+	CCONJ
ejpam-5822	276	2	c2	c2	PROPN
ejpam-5822	276	3	2	2	NUM
ejpam-5822	276	4	)	)	PUNCT
ejpam-5822	276	5	β	β	X
ejpam-5822	276	6	e	e	X
ejpam-5822	276	7	j	j	PROPN
ejpam-5822	276	8	+	+	PROPN
ejpam-5822	276	9	·	·	PUNCT
ejpam-5822	276	10	·	·	PUNCT
ejpam-5822	276	11	·	·	PUNCT
ejpam-5822	276	12	.	.	PUNCT
ejpam-5822	277	1	(	(	PUNCT
ejpam-5822	277	2	27	27	NUM
ejpam-5822	277	3	)	)	PUNCT
ejpam-5822	277	4	now	now	ADV
ejpam-5822	277	5	,	,	PUNCT
ejpam-5822	277	6	to	to	PART
ejpam-5822	277	7	determine	determine	VERB
ejpam-5822	277	8	the	the	DET
ejpam-5822	277	9	term	term	NOUN
ejpam-5822	277	10	(	(	PUNCT
ejpam-5822	277	11	t	t	NOUN
ejpam-5822	277	12	j−ζ	j−ζ	NOUN
ejpam-5822	277	13	j)(t	j)(t	PROPN
ejpam-5822	277	14	j−z	j−z	PROPN
ejpam-5822	277	15	j)(t	j)(t	PUNCT
ejpam-5822	277	16	j−y	j−y	PROPN
ejpam-5822	277	17	j)g(k	j)g(k	PROPN
ejpam-5822	277	18	j	j	PROPN
ejpam-5822	277	19	)	)	PUNCT
ejpam-5822	277	20	(	(	PUNCT
ejpam-5822	277	21	k	k	PROPN
ejpam-5822	277	22	j−t	j−t	PROPN
ejpam-5822	277	23	j)(k	j)(k	PROPN
ejpam-5822	278	1	j−y	j−y	ADJ
ejpam-5822	278	2	j)(k	j)(k	PROPN
ejpam-5822	278	3	j−ζ	j−ζ	NOUN
ejpam-5822	278	4	j)(ζ	j)(ζ	PROPN
ejpam-5822	278	5	j−z	j−z	PROPN
ejpam-5822	278	6	j	j	PROPN
ejpam-5822	278	7	)	)	PUNCT
ejpam-5822	278	8	we	we	PRON
ejpam-5822	278	9	used	use	VERB
ejpam-5822	278	10	(	(	PUNCT
ejpam-5822	278	11	8)	8)	NUM
ejpam-5822	278	12	,	,	PUNCT
ejpam-5822	278	13	(	(	PUNCT
ejpam-5822	278	14	9	9	NUM
ejpam-5822	278	15	)	)	PUNCT
ejpam-5822	278	16	,	,	PUNCT
ejpam-5822	278	17	(	(	PUNCT
ejpam-5822	278	18	12	12	NUM
ejpam-5822	278	19	)	)	PUNCT
ejpam-5822	278	20	,	,	PUNCT
ejpam-5822	278	21	(	(	PUNCT
ejpam-5822	278	22	15	15	NUM
ejpam-5822	278	23	)	)	PUNCT
ejpam-5822	278	24	,	,	PUNCT
ejpam-5822	278	25	and	and	CCONJ
ejpam-5822	278	26	(	(	PUNCT
ejpam-5822	278	27	25	25	NUM
ejpam-5822	278	28	)	)	PUNCT
ejpam-5822	278	29	given	give	VERB
ejpam-5822	278	30	as	as	ADP
ejpam-5822	278	31	:	:	PUNCT
ejpam-5822	278	32	(	(	PUNCT
ejpam-5822	278	33	t	t	PROPN
ejpam-5822	278	34	j	j	PROPN
ejpam-5822	279	1	−	−	PROPN
ejpam-5822	279	2	k	k	PROPN
ejpam-5822	279	3	j)(t	j)(t	PROPN
ejpam-5822	279	4	j	j	PROPN
ejpam-5822	280	1	−	−	PROPN
ejpam-5822	280	2	z	z	PROPN
ejpam-5822	280	3	j)(t	j)(t	PROPN
ejpam-5822	280	4	j	j	PROPN
ejpam-5822	280	5	−	−	PROPN
ejpam-5822	281	1	y	y	PROPN
ejpam-5822	281	2	j)g(ζ	j)g(ζ	PROPN
ejpam-5822	281	3	j	j	PROPN
ejpam-5822	281	4	)	)	PUNCT
ejpam-5822	281	5	(	(	PUNCT
ejpam-5822	281	6	ζ	ζ	NOUN
ejpam-5822	281	7	j	j	NOUN
ejpam-5822	281	8	−	−	PROPN
ejpam-5822	281	9	z	z	PROPN
ejpam-5822	281	10	j)(ζ	j)(ζ	PROPN
ejpam-5822	282	1	j	j	PROPN
ejpam-5822	283	1	−	−	PROPN
ejpam-5822	283	2	k	k	PROPN
ejpam-5822	283	3	j)(ζ	j)(ζ	PROPN
ejpam-5822	284	1	j	j	PROPN
ejpam-5822	284	2	−	−	PROPN
ejpam-5822	284	3	t	t	PROPN
ejpam-5822	284	4	j)(ζ	j)(ζ	PROPN
ejpam-5822	284	5	j	j	PROPN
ejpam-5822	284	6	−	−	PROPN
ejpam-5822	284	7	y	y	PROPN
ejpam-5822	284	8	j	j	PROPN
ejpam-5822	284	9	)	)	PUNCT
ejpam-5822	284	10	=	=	SYM
ejpam-5822	285	1	−c2	−c2	PROPN
ejpam-5822	285	2	2(−c3	2(−c3	NUM
ejpam-5822	286	1	+	+	CCONJ
ejpam-5822	286	2	c2	c2	PROPN
ejpam-5822	286	3	2	2	NUM
ejpam-5822	286	4	)	)	PUNCT
ejpam-5822	286	5	β	β	X
ejpam-5822	286	6	e	e	X
ejpam-5822	286	7	j	j	X
ejpam-5822	286	8	(	(	PUNCT
ejpam-5822	286	9	28	28	NUM
ejpam-5822	286	10	)	)	PUNCT
ejpam-5822	286	11	+	+	CCONJ
ejpam-5822	287	1	2c2(−7c2	2c2(−7c2	NUM
ejpam-5822	287	2	2c3	2c3	NUM
ejpam-5822	287	3	+4c4	+4c4	X
ejpam-5822	287	4	2	2	NUM
ejpam-5822	287	5	+2c2	+2c2	NUM
ejpam-5822	287	6	3	3	NUM
ejpam-5822	287	7	+	+	CCONJ
ejpam-5822	287	8	c2c4	c2c4	X
ejpam-5822	287	9	)	)	PUNCT
ejpam-5822	287	10	β	β	PROPN
ejpam-5822	287	11	e2	e2	PROPN
ejpam-5822	287	12	j	j	PROPN
ejpam-5822	287	13	+	+	CCONJ
ejpam-5822	287	14	·	·	PUNCT
ejpam-5822	287	15	·	·	PUNCT
ejpam-5822	287	16	·	·	PUNCT
ejpam-5822	287	17	.	.	PUNCT
ejpam-5822	288	1	also	also	ADV
ejpam-5822	288	2	,	,	PUNCT
ejpam-5822	288	3	to	to	PART
ejpam-5822	288	4	find	find	VERB
ejpam-5822	288	5	(	(	PUNCT
ejpam-5822	288	6	t	t	NOUN
ejpam-5822	288	7	j−z	j−z	NOUN
ejpam-5822	288	8	j)(t	j)(t	PROPN
ejpam-5822	288	9	j−ζ	j−ζ	NOUN
ejpam-5822	288	10	j)(t	j)(t	NUM
ejpam-5822	288	11	j−k	j−k	VERB
ejpam-5822	288	12	j)g(y	j)g(y	PROPN
ejpam-5822	288	13	j	j	PROPN
ejpam-5822	288	14	)	)	PUNCT
ejpam-5822	288	15	(	(	PUNCT
ejpam-5822	288	16	y	y	PROPN
ejpam-5822	288	17	j−z	j−z	PROPN
ejpam-5822	288	18	j)(y	j)(y	PROPN
ejpam-5822	288	19	j−t	j−t	PROPN
ejpam-5822	288	20	j)(y	j)(y	PROPN
ejpam-5822	288	21	j−ζ	j−ζ	X
ejpam-5822	288	22	j)(y	j)(y	PROPN
ejpam-5822	288	23	j−k	j−k	VERB
ejpam-5822	288	24	j	j	PROPN
ejpam-5822	288	25	)	)	PUNCT
ejpam-5822	289	1	we	we	PRON
ejpam-5822	289	2	used	use	VERB
ejpam-5822	289	3	(	(	PUNCT
ejpam-5822	289	4	9	9	NUM
ejpam-5822	289	5	)	)	PUNCT
ejpam-5822	289	6	,	,	PUNCT
ejpam-5822	289	7	(	(	PUNCT
ejpam-5822	289	8	12	12	NUM
ejpam-5822	289	9	)	)	PUNCT
ejpam-5822	289	10	,	,	PUNCT
ejpam-5822	289	11	(	(	PUNCT
ejpam-5822	289	12	13	13	NUM
ejpam-5822	289	13	)	)	PUNCT
ejpam-5822	289	14	,	,	PUNCT
ejpam-5822	289	15	(	(	PUNCT
ejpam-5822	289	16	15	15	NUM
ejpam-5822	289	17	)	)	PUNCT
ejpam-5822	289	18	,	,	PUNCT
ejpam-5822	289	19	and	and	CCONJ
ejpam-5822	289	20	(	(	PUNCT
ejpam-5822	289	21	25	25	NUM
ejpam-5822	289	22	)	)	PUNCT
ejpam-5822	289	23	as	as	ADP
ejpam-5822	289	24	:	:	PUNCT
ejpam-5822	289	25	(	(	PUNCT
ejpam-5822	289	26	t	t	PROPN
ejpam-5822	289	27	j	j	X
ejpam-5822	290	1	−	−	PROPN
ejpam-5822	290	2	z	z	PROPN
ejpam-5822	290	3	j)(t	j)(t	PROPN
ejpam-5822	290	4	j	j	PROPN
ejpam-5822	290	5	−ζ	−ζ	PROPN
ejpam-5822	290	6	j)(t	j)(t	PROPN
ejpam-5822	290	7	j	j	PROPN
ejpam-5822	291	1	−	−	PROPN
ejpam-5822	291	2	k	k	PROPN
ejpam-5822	291	3	j)g(y	j)g(y	PROPN
ejpam-5822	291	4	j	j	PROPN
ejpam-5822	291	5	)	)	PUNCT
ejpam-5822	291	6	(	(	PUNCT
ejpam-5822	291	7	y	y	PROPN
ejpam-5822	291	8	j	j	PROPN
ejpam-5822	292	1	−	−	PROPN
ejpam-5822	292	2	z	z	PROPN
ejpam-5822	293	1	j)(y	j)(y	PROPN
ejpam-5822	294	1	j	j	PROPN
ejpam-5822	294	2	−	−	PROPN
ejpam-5822	294	3	t	t	PROPN
ejpam-5822	294	4	j)(y	j)(y	PROPN
ejpam-5822	294	5	j	j	PROPN
ejpam-5822	294	6	−ζ	−ζ	PROPN
ejpam-5822	294	7	j)(y	j)(y	PROPN
ejpam-5822	295	1	j	j	PROPN
ejpam-5822	295	2	−	−	PROPN
ejpam-5822	295	3	k	k	PROPN
ejpam-5822	295	4	j	j	PROPN
ejpam-5822	295	5	)	)	PUNCT
ejpam-5822	295	6	=	=	PUNCT
ejpam-5822	296	1	(	(	PUNCT
ejpam-5822	296	2	c3	c3	PROPN
ejpam-5822	296	3	−	−	PROPN
ejpam-5822	296	4	c2	c2	PROPN
ejpam-5822	296	5	2)e	2)e	PROPN
ejpam-5822	296	6	2	2	NUM
ejpam-5822	296	7	j	j	NOUN
ejpam-5822	296	8	+	+	PROPN
ejpam-5822	296	9	(	(	PUNCT
ejpam-5822	296	10	2c4	2c4	NUM
ejpam-5822	296	11	−2c2c3)e3	−2c2c3)e3	PROPN
ejpam-5822	296	12	j	j	PROPN
ejpam-5822	296	13	+	+	CCONJ
ejpam-5822	296	14	·	·	PUNCT
ejpam-5822	296	15	·	·	PUNCT
ejpam-5822	296	16	·	·	PUNCT
ejpam-5822	296	17	.	.	PUNCT
ejpam-5822	297	1	(	(	PUNCT
ejpam-5822	297	2	29	29	NUM
ejpam-5822	297	3	)	)	PUNCT
ejpam-5822	297	4	we	we	PRON
ejpam-5822	297	5	used	use	VERB
ejpam-5822	297	6	(	(	PUNCT
ejpam-5822	297	7	9	9	NUM
ejpam-5822	297	8	)	)	PUNCT
ejpam-5822	297	9	,	,	PUNCT
ejpam-5822	297	10	(	(	PUNCT
ejpam-5822	297	11	12	12	NUM
ejpam-5822	297	12	)	)	PUNCT
ejpam-5822	297	13	,	,	PUNCT
ejpam-5822	297	14	(	(	PUNCT
ejpam-5822	297	15	15	15	NUM
ejpam-5822	297	16	)	)	PUNCT
ejpam-5822	297	17	,	,	PUNCT
ejpam-5822	297	18	(	(	PUNCT
ejpam-5822	297	19	16	16	NUM
ejpam-5822	297	20	)	)	PUNCT
ejpam-5822	297	21	,	,	PUNCT
ejpam-5822	297	22	and	and	CCONJ
ejpam-5822	297	23	(	(	PUNCT
ejpam-5822	297	24	15	15	NUM
ejpam-5822	297	25	)	)	PUNCT
ejpam-5822	297	26	to	to	PART
ejpam-5822	297	27	find	find	VERB
ejpam-5822	297	28	(	(	PUNCT
ejpam-5822	297	29	t	t	NOUN
ejpam-5822	297	30	j−ζ	j−ζ	NOUN
ejpam-5822	297	31	j)(t	j)(t	NUM
ejpam-5822	297	32	j−k	j−k	NOUN
ejpam-5822	297	33	j)(t	j)(t	PUNCT
ejpam-5822	297	34	j−y	j−y	ADV
ejpam-5822	297	35	j)g(z	j)g(z	ADJ
ejpam-5822	297	36	j	j	NOUN
ejpam-5822	297	37	)	)	PUNCT
ejpam-5822	297	38	(	(	PUNCT
ejpam-5822	297	39	z	z	NOUN
ejpam-5822	297	40	j−t	j−t	NOUN
ejpam-5822	297	41	j)(z	j)(z	X
ejpam-5822	297	42	j−ζ	j−ζ	NOUN
ejpam-5822	297	43	j)(z	j)(z	PUNCT
ejpam-5822	298	1	j−k	j−k	NOUN
ejpam-5822	298	2	j)(z	j)(z	PUNCT
ejpam-5822	299	1	j−y	j−y	PROPN
ejpam-5822	299	2	j	j	NOUN
ejpam-5822	299	3	)	)	PUNCT
ejpam-5822	299	4	term	term	NOUN
ejpam-5822	299	5	given	give	VERB
ejpam-5822	299	6	as	as	ADP
ejpam-5822	299	7	:	:	PUNCT
ejpam-5822	299	8	(	(	PUNCT
ejpam-5822	299	9	t	t	PROPN
ejpam-5822	299	10	j	j	PROPN
ejpam-5822	299	11	−ζ	−ζ	PROPN
ejpam-5822	300	1	j)(t	j)(t	PROPN
ejpam-5822	300	2	j	j	PROPN
ejpam-5822	301	1	−	−	PROPN
ejpam-5822	301	2	y	y	PROPN
ejpam-5822	301	3	j)(t	j)(t	PROPN
ejpam-5822	301	4	j	j	PROPN
ejpam-5822	302	1	−	−	PROPN
ejpam-5822	302	2	k	k	PROPN
ejpam-5822	303	1	j)g(z	j)g(z	PROPN
ejpam-5822	303	2	j	j	PROPN
ejpam-5822	303	3	)	)	PUNCT
ejpam-5822	303	4	(	(	PUNCT
ejpam-5822	303	5	z	z	NOUN
ejpam-5822	303	6	j	j	PROPN
ejpam-5822	303	7	−	−	PROPN
ejpam-5822	303	8	t	t	PROPN
ejpam-5822	303	9	j)(z	j)(z	PUNCT
ejpam-5822	304	1	j	j	PROPN
ejpam-5822	305	1	−	−	PROPN
ejpam-5822	305	2	k	k	PROPN
ejpam-5822	305	3	j)(z	j)(z	PROPN
ejpam-5822	306	1	j	j	NOUN
ejpam-5822	307	1	−	−	PROPN
ejpam-5822	307	2	y	y	PROPN
ejpam-5822	307	3	j)(z	j)(z	PROPN
ejpam-5822	308	1	j	j	PROPN
ejpam-5822	308	2	−ζ	−ζ	PROPN
ejpam-5822	308	3	j	j	PROPN
ejpam-5822	308	4	)	)	PUNCT
ejpam-5822	308	5	=	=	SYM
ejpam-5822	309	1	1+(−c3	1+(−c3	PROPN
ejpam-5822	310	1	+	+	CCONJ
ejpam-5822	310	2	c2	c2	PROPN
ejpam-5822	310	3	2)e	2)e	PROPN
ejpam-5822	310	4	2	2	NUM
ejpam-5822	310	5	j	j	NOUN
ejpam-5822	310	6	+	+	ADJ
ejpam-5822	310	7	(	(	PUNCT
ejpam-5822	310	8	−2c4	−2c4	NUM
ejpam-5822	310	9	+2c2c3)e3	+2c2c3)e3	NOUN
ejpam-5822	310	10	j	j	NOUN
ejpam-5822	310	11	+	+	CCONJ
ejpam-5822	310	12	·	·	PUNCT
ejpam-5822	310	13	·	·	PUNCT
ejpam-5822	310	14	·	·	PUNCT
ejpam-5822	310	15	.	.	PUNCT
ejpam-5822	311	1	(	(	PUNCT
ejpam-5822	311	2	30	30	NUM
ejpam-5822	311	3	)	)	PUNCT
ejpam-5822	311	4	we	we	PRON
ejpam-5822	311	5	computed	compute	VERB
ejpam-5822	311	6	g(t	g(t	PROPN
ejpam-5822	311	7	j	j	PROPN
ejpam-5822	311	8	)	)	PUNCT
ejpam-5822	311	9	(	(	PUNCT
ejpam-5822	311	10	t	t	PROPN
ejpam-5822	311	11	j−w	j−w	PROPN
ejpam-5822	311	12	j	j	PROPN
ejpam-5822	311	13	)	)	PUNCT
ejpam-5822	311	14	by	by	ADP
ejpam-5822	311	15	using	use	VERB
ejpam-5822	311	16	equations	equation	NOUN
ejpam-5822	311	17	(	(	PUNCT
ejpam-5822	311	18	10	10	NUM
ejpam-5822	311	19	)	)	PUNCT
ejpam-5822	311	20	,	,	PUNCT
ejpam-5822	311	21	(	(	PUNCT
ejpam-5822	311	22	25	25	NUM
ejpam-5822	311	23	)	)	PUNCT
ejpam-5822	311	24	,	,	PUNCT
ejpam-5822	311	25	and	and	CCONJ
ejpam-5822	311	26	(	(	PUNCT
ejpam-5822	311	27	26	26	NUM
ejpam-5822	311	28	)	)	PUNCT
ejpam-5822	311	29	as	as	ADP
ejpam-5822	311	30	:	:	PUNCT
ejpam-5822	311	31	g(t	g(t	PROPN
ejpam-5822	311	32	j	j	PROPN
ejpam-5822	311	33	)	)	PUNCT
ejpam-5822	311	34	(	(	PUNCT
ejpam-5822	311	35	t	t	PROPN
ejpam-5822	311	36	j	j	PROPN
ejpam-5822	311	37	−ζ	−ζ	PROPN
ejpam-5822	311	38	j	j	PROPN
ejpam-5822	311	39	)	)	PUNCT
ejpam-5822	311	40	=	=	SYM
ejpam-5822	311	41	1	1	NUM
ejpam-5822	311	42	24	24	NUM
ejpam-5822	311	43	c2(24c2c3c4	c2(24c2c3c4	VERB
ejpam-5822	311	44	−	−	PROPN
ejpam-5822	311	45	·	·	SYM
ejpam-5822	311	46	·	·	PUNCT
ejpam-5822	311	47	·	·	PUNCT
ejpam-5822	311	48	−36b2c3c4	−36b2c3c4	PROPN
ejpam-5822	311	49	2)e	2)e	PROPN
ejpam-5822	311	50	7	7	NUM
ejpam-5822	311	51	j	j	NOUN
ejpam-5822	311	52	+	+	CCONJ
ejpam-5822	311	53	·	·	PUNCT
ejpam-5822	311	54	·	·	PUNCT
ejpam-5822	311	55	·	·	PUNCT
ejpam-5822	311	56	.	.	PUNCT
ejpam-5822	312	1	(	(	PUNCT
ejpam-5822	312	2	31	31	NUM
ejpam-5822	312	3	)	)	PUNCT
ejpam-5822	312	4	s.	s.	PROPN
ejpam-5822	312	5	akram	akram	PROPN
ejpam-5822	312	6	et	et	PROPN
ejpam-5822	312	7	al	al	PROPN
ejpam-5822	312	8	.	.	PUNCT
ejpam-5822	312	9	/	/	SYM
ejpam-5822	312	10	eur	eur	PROPN
ejpam-5822	312	11	.	.	PUNCT
ejpam-5822	313	1	j.	j.	PROPN
ejpam-5822	313	2	pure	pure	PROPN
ejpam-5822	313	3	appl	appl	PROPN
ejpam-5822	313	4	.	.	PROPN
ejpam-5822	313	5	math	math	PROPN
ejpam-5822	313	6	,	,	PUNCT
ejpam-5822	313	7	18	18	NUM
ejpam-5822	313	8	(	(	PUNCT
ejpam-5822	313	9	2	2	NUM
ejpam-5822	313	10	)	)	PUNCT
ejpam-5822	313	11	(	(	PUNCT
ejpam-5822	313	12	2025	2025	NUM
ejpam-5822	313	13	)	)	PUNCT
ejpam-5822	313	14	,	,	PUNCT
ejpam-5822	313	15	5822	5822	NUM
ejpam-5822	313	16	9	9	NUM
ejpam-5822	313	17	of	of	ADP
ejpam-5822	313	18	26	26	NUM
ejpam-5822	313	19	using	use	VERB
ejpam-5822	313	20	equations	equation	NOUN
ejpam-5822	313	21	(	(	PUNCT
ejpam-5822	313	22	25	25	NUM
ejpam-5822	313	23	)	)	PUNCT
ejpam-5822	313	24	and	and	CCONJ
ejpam-5822	313	25	(	(	PUNCT
ejpam-5822	313	26	26	26	NUM
ejpam-5822	313	27	)	)	PUNCT
ejpam-5822	313	28	we	we	PRON
ejpam-5822	313	29	evaluated	evaluate	VERB
ejpam-5822	313	30	g(t	g(t	PROPN
ejpam-5822	313	31	j	j	PROPN
ejpam-5822	313	32	)	)	PUNCT
ejpam-5822	313	33	(	(	PUNCT
ejpam-5822	313	34	t	t	PROPN
ejpam-5822	313	35	j−k	j−k	VERB
ejpam-5822	313	36	j	j	PROPN
ejpam-5822	313	37	)	)	PUNCT
ejpam-5822	313	38	as	as	ADP
ejpam-5822	313	39	:	:	PUNCT
ejpam-5822	313	40	g(t	g(t	PROPN
ejpam-5822	313	41	j	j	PROPN
ejpam-5822	313	42	)	)	PUNCT
ejpam-5822	313	43	(	(	PUNCT
ejpam-5822	313	44	t	t	PROPN
ejpam-5822	313	45	j	j	PROPN
ejpam-5822	314	1	−	−	PROPN
ejpam-5822	314	2	k	k	PROPN
ejpam-5822	314	3	j	j	PROPN
ejpam-5822	314	4	)	)	PUNCT
ejpam-5822	314	5	=	=	SYM
ejpam-5822	314	6	1	1	NUM
ejpam-5822	314	7	24	24	NUM
ejpam-5822	314	8	c2(24c2c3c4	c2(24c2c3c4	VERB
ejpam-5822	314	9	−	−	PROPN
ejpam-5822	314	10	·	·	SYM
ejpam-5822	314	11	·	·	PUNCT
ejpam-5822	314	12	·	·	PUNCT
ejpam-5822	314	13	−36b2c3c4	−36b2c3c4	PROPN
ejpam-5822	314	14	2)e	2)e	PROPN
ejpam-5822	314	15	7	7	NUM
ejpam-5822	314	16	j	j	NOUN
ejpam-5822	314	17	+	+	CCONJ
ejpam-5822	314	18	·	·	PUNCT
ejpam-5822	314	19	·	·	PUNCT
ejpam-5822	314	20	·	·	PUNCT
ejpam-5822	314	21	.	.	PUNCT
ejpam-5822	315	1	(	(	PUNCT
ejpam-5822	315	2	32	32	NUM
ejpam-5822	315	3	)	)	PUNCT
ejpam-5822	315	4	g(t	g(t	PROPN
ejpam-5822	315	5	j	j	PROPN
ejpam-5822	315	6	)	)	PUNCT
ejpam-5822	315	7	(	(	PUNCT
ejpam-5822	315	8	t	t	PROPN
ejpam-5822	315	9	j−y	j−y	PROPN
ejpam-5822	315	10	j	j	PROPN
ejpam-5822	315	11	)	)	PUNCT
ejpam-5822	315	12	is	be	AUX
ejpam-5822	315	13	calculated	calculate	VERB
ejpam-5822	315	14	by	by	ADP
ejpam-5822	315	15	using	use	VERB
ejpam-5822	315	16	equations	equation	NOUN
ejpam-5822	315	17	(	(	PUNCT
ejpam-5822	315	18	12	12	NUM
ejpam-5822	315	19	)	)	PUNCT
ejpam-5822	315	20	,	,	PUNCT
ejpam-5822	315	21	(	(	PUNCT
ejpam-5822	315	22	25	25	NUM
ejpam-5822	315	23	)	)	PUNCT
ejpam-5822	315	24	,	,	PUNCT
ejpam-5822	315	25	and	and	CCONJ
ejpam-5822	315	26	(	(	PUNCT
ejpam-5822	315	27	26	26	NUM
ejpam-5822	315	28	):	):	PUNCT
ejpam-5822	315	29	g(t	g(t	PROPN
ejpam-5822	315	30	j	j	PROPN
ejpam-5822	315	31	)	)	PUNCT
ejpam-5822	315	32	(	(	PUNCT
ejpam-5822	315	33	t	t	PROPN
ejpam-5822	315	34	j	j	PROPN
ejpam-5822	315	35	−	−	PROPN
ejpam-5822	315	36	y	y	PROPN
ejpam-5822	315	37	j	j	PROPN
ejpam-5822	315	38	)	)	PUNCT
ejpam-5822	316	1	=	=	SYM
ejpam-5822	316	2	(	(	PUNCT
ejpam-5822	316	3	c2c3c4	c2c3c4	X
ejpam-5822	316	4	−2c2	−2c2	NUM
ejpam-5822	316	5	2c2	2c2	NUM
ejpam-5822	316	6	3	3	NUM
ejpam-5822	316	7	−	−	PROPN
ejpam-5822	316	8	·	·	SYM
ejpam-5822	316	9	·	·	PUNCT
ejpam-5822	316	10	·	·	PUNCT
ejpam-5822	317	1	−	−	NOUN
ejpam-5822	317	2	3	3	NUM
ejpam-5822	317	3	2	2	NUM
ejpam-5822	317	4	b2c3c4	b2c3c4	NOUN
ejpam-5822	317	5	2)e	2)e	NUM
ejpam-5822	317	6	6	6	NUM
ejpam-5822	317	7	j	j	NOUN
ejpam-5822	317	8	+	+	NUM
ejpam-5822	317	9	·	·	PUNCT
ejpam-5822	317	10	·	·	PUNCT
ejpam-5822	317	11	·	·	PUNCT
ejpam-5822	317	12	.	.	PUNCT
ejpam-5822	318	1	(	(	PUNCT
ejpam-5822	318	2	33	33	NUM
ejpam-5822	318	3	)	)	PUNCT
ejpam-5822	318	4	last	last	ADJ
ejpam-5822	318	5	term	term	NOUN
ejpam-5822	318	6	g(t	g(t	PROPN
ejpam-5822	318	7	j	j	PROPN
ejpam-5822	318	8	)	)	PUNCT
ejpam-5822	318	9	(	(	PUNCT
ejpam-5822	318	10	t	t	PROPN
ejpam-5822	318	11	j−z	j−z	PROPN
ejpam-5822	318	12	j	j	PROPN
ejpam-5822	318	13	)	)	PUNCT
ejpam-5822	318	14	is	be	AUX
ejpam-5822	318	15	calculated	calculate	VERB
ejpam-5822	318	16	by	by	ADP
ejpam-5822	318	17	using	use	VERB
ejpam-5822	318	18	equations	equation	NOUN
ejpam-5822	318	19	(	(	PUNCT
ejpam-5822	318	20	15	15	NUM
ejpam-5822	318	21	)	)	PUNCT
ejpam-5822	318	22	,	,	PUNCT
ejpam-5822	318	23	(	(	PUNCT
ejpam-5822	318	24	25	25	NUM
ejpam-5822	318	25	)	)	PUNCT
ejpam-5822	318	26	,	,	PUNCT
ejpam-5822	318	27	and	and	CCONJ
ejpam-5822	318	28	(	(	PUNCT
ejpam-5822	318	29	26	26	NUM
ejpam-5822	318	30	):	):	PUNCT
ejpam-5822	318	31	g(t	g(t	PROPN
ejpam-5822	318	32	j	j	PROPN
ejpam-5822	318	33	)	)	PUNCT
ejpam-5822	318	34	(	(	PUNCT
ejpam-5822	318	35	t	t	PROPN
ejpam-5822	318	36	j	j	PROPN
ejpam-5822	318	37	−	−	PROPN
ejpam-5822	318	38	z	z	PROPN
ejpam-5822	318	39	j	j	PROPN
ejpam-5822	318	40	)	)	PUNCT
ejpam-5822	319	1	=	=	PUNCT
ejpam-5822	319	2	(	(	PUNCT
ejpam-5822	319	3	1	1	NUM
ejpam-5822	319	4	24	24	NUM
ejpam-5822	319	5	c4	c4	NOUN
ejpam-5822	319	6	2g+	2g+	NUM
ejpam-5822	319	7	1	1	NUM
ejpam-5822	319	8	2	2	NUM
ejpam-5822	319	9	c4	c4	NOUN
ejpam-5822	319	10	2b2	2b2	NUM
ejpam-5822	319	11	+	+	CCONJ
ejpam-5822	319	12	·	·	PUNCT
ejpam-5822	319	13	·	·	PUNCT
ejpam-5822	319	14	·	·	PUNCT
ejpam-5822	320	1	+	+	CCONJ
ejpam-5822	320	2	1	1	NUM
ejpam-5822	320	3	2	2	NUM
ejpam-5822	320	4	b2c2	b2c2	ADP
ejpam-5822	320	5	3)e	3)e	NUM
ejpam-5822	320	6	4	4	NUM
ejpam-5822	320	7	j	j	NOUN
ejpam-5822	320	8	+	+	NUM
ejpam-5822	320	9	·	·	PUNCT
ejpam-5822	320	10	·	·	PUNCT
ejpam-5822	320	11	·	·	PUNCT
ejpam-5822	320	12	.	.	PUNCT
ejpam-5822	321	1	(	(	PUNCT
ejpam-5822	321	2	34	34	NUM
ejpam-5822	321	3	)	)	PUNCT
ejpam-5822	321	4	substituting	substitute	VERB
ejpam-5822	321	5	equations	equation	NOUN
ejpam-5822	321	6	(	(	PUNCT
ejpam-5822	321	7	27)-(34	27)-(34	X
ejpam-5822	321	8	)	)	PUNCT
ejpam-5822	321	9	in	in	ADP
ejpam-5822	321	10	equation	equation	NOUN
ejpam-5822	321	11	in	in	ADP
ejpam-5822	321	12	ml	ml	ADP
ejpam-5822	321	13	,	,	PUNCT
ejpam-5822	321	14	we	we	PRON
ejpam-5822	321	15	obtained	obtain	VERB
ejpam-5822	321	16	:	:	PUNCT
ejpam-5822	321	17	ml	ml	PROPN
ejpam-5822	321	18	=	=	SYM
ejpam-5822	321	19	1−	1−	NUM
ejpam-5822	321	20	1	1	NUM
ejpam-5822	321	21	12	12	NUM
ejpam-5822	321	22	c2	c2	PROPN
ejpam-5822	321	23	2(−12b2c3	2(−12b2c3	NUM
ejpam-5822	321	24	3	3	NUM
ejpam-5822	321	25	+36b2c2	+36b2c2	NOUN
ejpam-5822	321	26	2c2	2c2	NUM
ejpam-5822	321	27	3	3	NUM
ejpam-5822	321	28	−	−	PROPN
ejpam-5822	321	29	·	·	SYM
ejpam-5822	321	30	·	·	PUNCT
ejpam-5822	321	31	·	·	PUNCT
ejpam-5822	322	1	−24ac3c4	−24ac3c4	PROPN
ejpam-5822	322	2	2)e	2)e	NUM
ejpam-5822	322	3	8	8	NUM
ejpam-5822	322	4	j	j	NOUN
ejpam-5822	322	5	+	+	NUM
ejpam-5822	322	6	·	·	PUNCT
ejpam-5822	322	7	·	·	PUNCT
ejpam-5822	322	8	·	·	PUNCT
ejpam-5822	322	9	.	.	PUNCT
ejpam-5822	323	1	(	(	PUNCT
ejpam-5822	323	2	35	35	NUM
ejpam-5822	323	3	)	)	PUNCT
ejpam-5822	323	4	now	now	ADV
ejpam-5822	323	5	,	,	PUNCT
ejpam-5822	323	6	utilizing	utilize	VERB
ejpam-5822	323	7	equations	equation	NOUN
ejpam-5822	323	8	(	(	PUNCT
ejpam-5822	323	9	26	26	NUM
ejpam-5822	323	10	)	)	PUNCT
ejpam-5822	323	11	and	and	CCONJ
ejpam-5822	323	12	(	(	PUNCT
ejpam-5822	323	13	35	35	NUM
ejpam-5822	323	14	)	)	PUNCT
ejpam-5822	323	15	in	in	ADP
ejpam-5822	323	16	fourth	fourth	ADJ
ejpam-5822	323	17	step	step	NOUN
ejpam-5822	323	18	of	of	ADP
ejpam-5822	323	19	iterative	iterative	ADJ
ejpam-5822	323	20	scheme	scheme	NOUN
ejpam-5822	323	21	(	(	PUNCT
ejpam-5822	323	22	5	5	NUM
ejpam-5822	323	23	)	)	PUNCT
ejpam-5822	323	24	we	we	PRON
ejpam-5822	323	25	obtained	obtain	VERB
ejpam-5822	323	26	error	error	NOUN
ejpam-5822	323	27	term	term	NOUN
ejpam-5822	323	28	as	as	ADP
ejpam-5822	323	29	:	:	PUNCT
ejpam-5822	323	30	e	e	X
ejpam-5822	323	31	j+1	j+1	NOUN
ejpam-5822	323	32	=	=	PUNCT
ejpam-5822	323	33	(	(	PUNCT
ejpam-5822	323	34	1	1	NUM
ejpam-5822	323	35	6	6	NUM
ejpam-5822	323	36	(	(	PUNCT
ejpam-5822	323	37	c3	c3	PROPN
ejpam-5822	323	38	3gc9	3gc9	NUM
ejpam-5822	323	39	2)−6c12	2)−6c12	NUM
ejpam-5822	323	40	2	2	NUM
ejpam-5822	323	41	c4	c4	NOUN
ejpam-5822	323	42	−	−	PROPN
ejpam-5822	323	43	.	.	PUNCT
ejpam-5822	323	44	.	.	PUNCT
ejpam-5822	324	1	.−	.−	PUNCT
ejpam-5822	325	1	1	1	NUM
ejpam-5822	325	2	6	6	NUM
ejpam-5822	325	3	(	(	PUNCT
ejpam-5822	325	4	b2c13	b2c13	X
ejpam-5822	325	5	2	2	NUM
ejpam-5822	325	6	gc3)+3c3	gc3)+3c3	NOUN
ejpam-5822	325	7	3ac9	3ac9	NUM
ejpam-5822	325	8	2)e	2)e	NUM
ejpam-5822	325	9	16	16	NUM
ejpam-5822	325	10	j	j	PROPN
ejpam-5822	326	1	+	+	NOUN
ejpam-5822	326	2	o(e17	o(e17	NOUN
ejpam-5822	326	3	j	j	PROPN
ejpam-5822	326	4	)	)	PUNCT
ejpam-5822	326	5	.	.	PUNCT
ejpam-5822	327	1	(	(	PUNCT
ejpam-5822	327	2	36	36	NUM
ejpam-5822	327	3	)	)	PUNCT
ejpam-5822	327	4	above	above	ADP
ejpam-5822	327	5	error	error	NOUN
ejpam-5822	327	6	relation	relation	NOUN
ejpam-5822	327	7	(	(	PUNCT
ejpam-5822	327	8	36	36	NUM
ejpam-5822	327	9	)	)	PUNCT
ejpam-5822	327	10	demonstrates	demonstrate	VERB
ejpam-5822	327	11	that	that	SCONJ
ejpam-5822	327	12	the	the	DET
ejpam-5822	327	13	sixteenth	sixteenth	ADJ
ejpam-5822	327	14	-	-	PUNCT
ejpam-5822	327	15	order	order	NOUN
ejpam-5822	327	16	convergence	convergence	NOUN
ejpam-5822	327	17	approach	approach	NOUN
ejpam-5822	327	18	(	(	PUNCT
ejpam-5822	327	19	5	5	X
ejpam-5822	327	20	)	)	PUNCT
ejpam-5822	327	21	is	be	AUX
ejpam-5822	327	22	optimal	optimal	ADJ
ejpam-5822	327	23	.	.	PUNCT
ejpam-5822	328	1	3	3	X
ejpam-5822	328	2	.	.	X
ejpam-5822	328	3	some	some	DET
ejpam-5822	328	4	particular	particular	ADJ
ejpam-5822	328	5	cases	case	NOUN
ejpam-5822	328	6	we	we	PRON
ejpam-5822	328	7	introduce	introduce	VERB
ejpam-5822	328	8	two	two	NUM
ejpam-5822	328	9	specific	specific	ADJ
ejpam-5822	328	10	weight	weight	NOUN
ejpam-5822	328	11	functions	function	NOUN
ejpam-5822	328	12	:	:	PUNCT
ejpam-5822	328	13	case	case	NOUN
ejpam-5822	328	14	1	1	NUM
ejpam-5822	328	15	and	and	CCONJ
ejpam-5822	328	16	case	case	NOUN
ejpam-5822	328	17	2	2	NUM
ejpam-5822	328	18	.	.	PUNCT
ejpam-5822	328	19	case	case	NOUN
ejpam-5822	328	20	1	1	NUM
ejpam-5822	328	21	:	:	PUNCT
ejpam-5822	328	22	to	to	PART
ejpam-5822	328	23	obtain	obtain	VERB
ejpam-5822	328	24	sixteenth	sixteenth	ADJ
ejpam-5822	328	25	-	-	PUNCT
ejpam-5822	328	26	order	order	NOUN
ejpam-5822	328	27	convergence	convergence	NOUN
ejpam-5822	328	28	we	we	PRON
ejpam-5822	328	29	utilize	utilize	VERB
ejpam-5822	328	30	the	the	DET
ejpam-5822	328	31	bivariate	bivariate	ADJ
ejpam-5822	328	32	polynomial	polynomial	NOUN
ejpam-5822	328	33	of	of	ADP
ejpam-5822	328	34	the	the	DET
ejpam-5822	328	35	following	follow	VERB
ejpam-5822	328	36	form	form	NOUN
ejpam-5822	328	37	:	:	PUNCT
ejpam-5822	328	38	h(λ	h(λ	PROPN
ejpam-5822	328	39	,	,	PUNCT
ejpam-5822	328	40	µ	µ	NOUN
ejpam-5822	328	41	)	)	PUNCT
ejpam-5822	328	42	=	=	SYM
ejpam-5822	329	1	1+λ	1+λ	NUM
ejpam-5822	329	2	µ	µ	NUM
ejpam-5822	329	3	+5λ	+5λ	NUM
ejpam-5822	329	4	2	2	NUM
ejpam-5822	329	5	−µ	−µ	NOUN
ejpam-5822	329	6	3	3	NUM
ejpam-5822	329	7	−8µ	−8µ	PROPN
ejpam-5822	329	8	2	2	NUM
ejpam-5822	329	9	λ	λ	NOUN
ejpam-5822	329	10	.	.	PUNCT
ejpam-5822	330	1	in	in	ADP
ejpam-5822	330	2	the	the	DET
ejpam-5822	330	3	scheme	scheme	NOUN
ejpam-5822	330	4	’s	’s	PART
ejpam-5822	330	5	third	third	ADJ
ejpam-5822	330	6	step	step	NOUN
ejpam-5822	330	7	(	(	PUNCT
ejpam-5822	330	8	5	5	NUM
ejpam-5822	330	9	)	)	PUNCT
ejpam-5822	330	10	,	,	PUNCT
ejpam-5822	330	11	sfhm-1	sfhm-1	PRON
ejpam-5822	330	12	is	be	AUX
ejpam-5822	330	13	indicated	indicate	VERB
ejpam-5822	330	14	and	and	CCONJ
ejpam-5822	330	15	explained	explain	VERB
ejpam-5822	330	16	as	as	SCONJ
ejpam-5822	330	17	follows	follow	VERB
ejpam-5822	330	18	:	:	PUNCT
ejpam-5822	330	19	y	y	PROPN
ejpam-5822	330	20	j	j	PROPN
ejpam-5822	331	1	=	=	SYM
ejpam-5822	331	2	k	k	PROPN
ejpam-5822	331	3	j	j	PROPN
ejpam-5822	332	1	−	−	PROPN
ejpam-5822	332	2	g(k	g(k	PROPN
ejpam-5822	332	3	j	j	PROPN
ejpam-5822	332	4	)	)	PUNCT
ejpam-5822	332	5	g[ζ	g[ζ	PROPN
ejpam-5822	333	1	j	j	PROPN
ejpam-5822	333	2	,	,	PUNCT
ejpam-5822	333	3	k	k	PROPN
ejpam-5822	333	4	j	j	X
ejpam-5822	333	5	]	]	X
ejpam-5822	333	6	,	,	PUNCT
ejpam-5822	333	7	ζ	ζ	PROPN
ejpam-5822	333	8	j	j	NOUN
ejpam-5822	333	9	=	=	SYM
ejpam-5822	333	10	k	k	PROPN
ejpam-5822	333	11	j	j	PROPN
ejpam-5822	334	1	+	+	PROPN
ejpam-5822	334	2	βg(k	βg(k	SYM
ejpam-5822	334	3	j	j	NOUN
ejpam-5822	334	4	)	)	PUNCT
ejpam-5822	334	5	4	4	NUM
ejpam-5822	334	6	,	,	PUNCT
ejpam-5822	334	7	z	z	NOUN
ejpam-5822	334	8	j	j	NOUN
ejpam-5822	334	9	=	=	SYM
ejpam-5822	334	10	y	y	PROPN
ejpam-5822	334	11	j	j	PROPN
ejpam-5822	334	12	−	−	PROPN
ejpam-5822	334	13	g(y	g(y	PROPN
ejpam-5822	334	14	j	j	PROPN
ejpam-5822	334	15	)	)	PUNCT
ejpam-5822	334	16	2g[y	2g[y	NUM
ejpam-5822	334	17	j	j	PROPN
ejpam-5822	334	18	,	,	PUNCT
ejpam-5822	334	19	k	k	PROPN
ejpam-5822	334	20	j]−g[ζ	j]−g[ζ	PROPN
ejpam-5822	334	21	j	j	PROPN
ejpam-5822	334	22	,	,	PUNCT
ejpam-5822	334	23	k	k	PROPN
ejpam-5822	334	24	j	j	X
ejpam-5822	334	25	]	]	X
ejpam-5822	334	26	,	,	PUNCT
ejpam-5822	334	27	t	t	PROPN
ejpam-5822	334	28	j	j	PROPN
ejpam-5822	335	1	=	=	SYM
ejpam-5822	335	2	z	z	PROPN
ejpam-5822	335	3	j	j	PROPN
ejpam-5822	336	1	−	−	PROPN
ejpam-5822	337	1	g(z	g(z	PROPN
ejpam-5822	337	2	j	j	PROPN
ejpam-5822	337	3	)	)	PUNCT
ejpam-5822	337	4	g[y	g[y	PROPN
ejpam-5822	337	5	j	j	PROPN
ejpam-5822	337	6	,	,	PUNCT
ejpam-5822	337	7	z	z	PROPN
ejpam-5822	337	8	j]+g[ζ	j]+g[ζ	PROPN
ejpam-5822	337	9	j	j	PROPN
ejpam-5822	337	10	,	,	PUNCT
ejpam-5822	337	11	y	y	PROPN
ejpam-5822	337	12	j	j	PROPN
ejpam-5822	337	13	,	,	PUNCT
ejpam-5822	337	14	z	z	PROPN
ejpam-5822	337	15	j](z	j](z	PROPN
ejpam-5822	338	1	j	j	PROPN
ejpam-5822	338	2	−	−	PROPN
ejpam-5822	338	3	y	y	PROPN
ejpam-5822	338	4	j	j	PROPN
ejpam-5822	338	5	)	)	PUNCT
ejpam-5822	338	6	(	(	PUNCT
ejpam-5822	338	7	1+λ	1+λ	NUM
ejpam-5822	338	8	µ	µ	NUM
ejpam-5822	338	9	+5λ	+5λ	NUM
ejpam-5822	338	10	2	2	NUM
ejpam-5822	338	11	−µ	−µ	NOUN
ejpam-5822	338	12	3	3	NUM
ejpam-5822	338	13	−8µ	−8µ	PROPN
ejpam-5822	338	14	2	2	NUM
ejpam-5822	338	15	λ	λ	NOUN
ejpam-5822	338	16	+	+	NOUN
ejpam-5822	338	17	λ	λ	X
ejpam-5822	338	18	3	3	NUM
ejpam-5822	338	19	)	)	PUNCT
ejpam-5822	338	20	,	,	PUNCT
ejpam-5822	338	21	k	k	X
ejpam-5822	338	22	j+1	j+1	X
ejpam-5822	338	23	=	=	PUNCT
ejpam-5822	338	24	t	t	PROPN
ejpam-5822	338	25	j	j	PROPN
ejpam-5822	338	26	−	−	PROPN
ejpam-5822	338	27	g(t	g(t	PROPN
ejpam-5822	338	28	j	j	PROPN
ejpam-5822	338	29	)	)	PUNCT
ejpam-5822	339	1	ml	ml	ADP
ejpam-5822	339	2	.	.	PUNCT
ejpam-5822	340	1	(	(	PUNCT
ejpam-5822	340	2	37	37	NUM
ejpam-5822	340	3	)	)	PUNCT
ejpam-5822	340	4	s.	s.	PROPN
ejpam-5822	340	5	akram	akram	PROPN
ejpam-5822	340	6	et	et	PROPN
ejpam-5822	340	7	al	al	PROPN
ejpam-5822	340	8	.	.	PUNCT
ejpam-5822	340	9	/	/	SYM
ejpam-5822	340	10	eur	eur	PROPN
ejpam-5822	340	11	.	.	PUNCT
ejpam-5822	341	1	j.	j.	PROPN
ejpam-5822	341	2	pure	pure	PROPN
ejpam-5822	341	3	appl	appl	PROPN
ejpam-5822	341	4	.	.	PROPN
ejpam-5822	341	5	math	math	PROPN
ejpam-5822	341	6	,	,	PUNCT
ejpam-5822	341	7	18	18	NUM
ejpam-5822	341	8	(	(	PUNCT
ejpam-5822	341	9	2	2	NUM
ejpam-5822	341	10	)	)	PUNCT
ejpam-5822	341	11	(	(	PUNCT
ejpam-5822	341	12	2025	2025	NUM
ejpam-5822	341	13	)	)	PUNCT
ejpam-5822	341	14	,	,	PUNCT
ejpam-5822	341	15	5822	5822	NUM
ejpam-5822	341	16	10	10	NUM
ejpam-5822	341	17	of	of	ADP
ejpam-5822	341	18	26	26	NUM
ejpam-5822	341	19	where	where	SCONJ
ejpam-5822	341	20	β	β	X
ejpam-5822	341	21	∈	∈	PROPN
ejpam-5822	341	22	r\{0	r\{0	PROPN
ejpam-5822	341	23	}	}	PUNCT
ejpam-5822	341	24	,	,	PUNCT
ejpam-5822	341	25	λ	λ	X
ejpam-5822	341	26	=	=	SYM
ejpam-5822	341	27	g(z	g(z	PROPN
ejpam-5822	341	28	j	j	PROPN
ejpam-5822	341	29	)	)	PUNCT
ejpam-5822	341	30	g(y	g(y	PROPN
ejpam-5822	341	31	j	j	PROPN
ejpam-5822	341	32	)	)	PUNCT
ejpam-5822	341	33	,	,	PUNCT
ejpam-5822	341	34	µ	µ	X
ejpam-5822	341	35	=	=	SYM
ejpam-5822	341	36	g(y	g(y	PROPN
ejpam-5822	341	37	j	j	PROPN
ejpam-5822	341	38	)	)	PUNCT
ejpam-5822	341	39	g(k	g(k	PROPN
ejpam-5822	341	40	j	j	NOUN
ejpam-5822	341	41	)	)	PUNCT
ejpam-5822	341	42	and	and	CCONJ
ejpam-5822	341	43	ml	ml	X
ejpam-5822	341	44	=	=	SYM
ejpam-5822	341	45	(	(	PUNCT
ejpam-5822	341	46	t	t	PROPN
ejpam-5822	341	47	j	j	PROPN
ejpam-5822	342	1	−	−	PROPN
ejpam-5822	342	2	z	z	PROPN
ejpam-5822	342	3	j)(t	j)(t	PROPN
ejpam-5822	342	4	j	j	PROPN
ejpam-5822	343	1	−	−	PROPN
ejpam-5822	344	1	k	k	PROPN
ejpam-5822	344	2	j)(t	j)(t	PROPN
ejpam-5822	344	3	j	j	PROPN
ejpam-5822	344	4	−	−	PROPN
ejpam-5822	345	1	y	y	PROPN
ejpam-5822	345	2	j)g(ζ	j)g(ζ	PROPN
ejpam-5822	345	3	j	j	PROPN
ejpam-5822	345	4	)	)	PUNCT
ejpam-5822	345	5	(	(	PUNCT
ejpam-5822	345	6	ζ	ζ	NOUN
ejpam-5822	345	7	j	j	NOUN
ejpam-5822	345	8	−	−	PROPN
ejpam-5822	346	1	k	k	PROPN
ejpam-5822	346	2	j)(ζ	j)(ζ	PROPN
ejpam-5822	347	1	j	j	PROPN
ejpam-5822	347	2	−	−	PROPN
ejpam-5822	347	3	t	t	PROPN
ejpam-5822	347	4	j)(ζ	j)(ζ	PROPN
ejpam-5822	348	1	j	j	PROPN
ejpam-5822	348	2	−	−	PROPN
ejpam-5822	348	3	z	z	PROPN
ejpam-5822	348	4	j)(ζ	j)(ζ	PROPN
ejpam-5822	349	1	j	j	X
ejpam-5822	349	2	−	−	PROPN
ejpam-5822	349	3	y	y	PROPN
ejpam-5822	349	4	j	j	PROPN
ejpam-5822	349	5	)	)	PUNCT
ejpam-5822	350	1	+	+	CCONJ
ejpam-5822	350	2	(	(	PUNCT
ejpam-5822	350	3	t	t	PROPN
ejpam-5822	350	4	j	j	PROPN
ejpam-5822	351	1	−	−	PROPN
ejpam-5822	351	2	z	z	PROPN
ejpam-5822	351	3	j)(t	j)(t	PROPN
ejpam-5822	351	4	j	j	PROPN
ejpam-5822	351	5	−ζ	−ζ	PROPN
ejpam-5822	351	6	j)(t	j)(t	PROPN
ejpam-5822	351	7	j	j	PROPN
ejpam-5822	351	8	−	−	PROPN
ejpam-5822	351	9	y	y	PROPN
ejpam-5822	351	10	j)g(k	j)g(k	PROPN
ejpam-5822	351	11	j	j	PROPN
ejpam-5822	351	12	)	)	PUNCT
ejpam-5822	352	1	(	(	PUNCT
ejpam-5822	352	2	k	k	PROPN
ejpam-5822	352	3	j	j	PROPN
ejpam-5822	352	4	−	−	PROPN
ejpam-5822	352	5	t	t	PROPN
ejpam-5822	352	6	j)(k	j)(k	PROPN
ejpam-5822	353	1	j	j	PROPN
ejpam-5822	353	2	−ζ	−ζ	PROPN
ejpam-5822	353	3	j)(k	j)(k	PROPN
ejpam-5822	354	1	j	j	PROPN
ejpam-5822	354	2	−	−	PROPN
ejpam-5822	354	3	y	y	PROPN
ejpam-5822	354	4	j)(ζ	j)(ζ	PROPN
ejpam-5822	355	1	j	j	PROPN
ejpam-5822	355	2	−	−	PROPN
ejpam-5822	355	3	z	z	PROPN
ejpam-5822	355	4	j	j	PROPN
ejpam-5822	355	5	)	)	PUNCT
ejpam-5822	356	1	+	+	CCONJ
ejpam-5822	356	2	(	(	PUNCT
ejpam-5822	356	3	t	t	PROPN
ejpam-5822	356	4	j	j	PROPN
ejpam-5822	357	1	−	−	PROPN
ejpam-5822	357	2	z	z	PROPN
ejpam-5822	357	3	j)(t	j)(t	PROPN
ejpam-5822	357	4	j	j	PROPN
ejpam-5822	357	5	−ζ	−ζ	PROPN
ejpam-5822	357	6	j)(t	j)(t	PROPN
ejpam-5822	357	7	j	j	PROPN
ejpam-5822	358	1	−	−	PROPN
ejpam-5822	358	2	k	k	PROPN
ejpam-5822	358	3	j)g(y	j)g(y	PROPN
ejpam-5822	358	4	j	j	PROPN
ejpam-5822	358	5	)	)	PUNCT
ejpam-5822	358	6	(	(	PUNCT
ejpam-5822	358	7	y	y	PROPN
ejpam-5822	358	8	j	j	PROPN
ejpam-5822	359	1	−	−	PROPN
ejpam-5822	359	2	z	z	PROPN
ejpam-5822	360	1	j)(y	j)(y	PROPN
ejpam-5822	361	1	j	j	PROPN
ejpam-5822	361	2	−	−	PROPN
ejpam-5822	361	3	t	t	PROPN
ejpam-5822	361	4	j)(y	j)(y	PROPN
ejpam-5822	361	5	j	j	PROPN
ejpam-5822	361	6	−ζ	−ζ	PROPN
ejpam-5822	361	7	j)(y	j)(y	PROPN
ejpam-5822	362	1	j	j	PROPN
ejpam-5822	362	2	−	−	PROPN
ejpam-5822	362	3	k	k	PROPN
ejpam-5822	362	4	j	j	PROPN
ejpam-5822	362	5	)	)	PUNCT
ejpam-5822	363	1	+	+	CCONJ
ejpam-5822	363	2	(	(	PUNCT
ejpam-5822	363	3	t	t	PROPN
ejpam-5822	363	4	j	j	PROPN
ejpam-5822	364	1	−	−	PROPN
ejpam-5822	364	2	k	k	PROPN
ejpam-5822	364	3	j)(t	j)(t	PROPN
ejpam-5822	364	4	j	j	PROPN
ejpam-5822	364	5	−ζ	−ζ	PROPN
ejpam-5822	364	6	j)(t	j)(t	PROPN
ejpam-5822	364	7	j	j	PROPN
ejpam-5822	365	1	−	−	PROPN
ejpam-5822	365	2	y	y	PROPN
ejpam-5822	365	3	j)g(z	j)g(z	PROPN
ejpam-5822	365	4	j	j	PROPN
ejpam-5822	365	5	)	)	PUNCT
ejpam-5822	365	6	(	(	PUNCT
ejpam-5822	365	7	z	z	NOUN
ejpam-5822	365	8	j	j	PROPN
ejpam-5822	365	9	−	−	PROPN
ejpam-5822	365	10	t	t	PROPN
ejpam-5822	365	11	j)(z	j)(z	PROPN
ejpam-5822	366	1	j	j	PROPN
ejpam-5822	366	2	−ζ	−ζ	PROPN
ejpam-5822	366	3	j)(z	j)(z	PUNCT
ejpam-5822	367	1	j	j	PROPN
ejpam-5822	368	1	−	−	PROPN
ejpam-5822	368	2	k	k	PROPN
ejpam-5822	368	3	j)(z	j)(z	PROPN
ejpam-5822	369	1	j	j	NOUN
ejpam-5822	369	2	−	−	PROPN
ejpam-5822	369	3	y	y	PROPN
ejpam-5822	369	4	j	j	PROPN
ejpam-5822	369	5	)	)	PUNCT
ejpam-5822	370	1	+	+	CCONJ
ejpam-5822	370	2	g(t	g(t	PROPN
ejpam-5822	370	3	j	j	PROPN
ejpam-5822	370	4	)	)	PUNCT
ejpam-5822	370	5	(	(	PUNCT
ejpam-5822	370	6	t	t	PROPN
ejpam-5822	370	7	j	j	PROPN
ejpam-5822	370	8	−ζ	−ζ	PROPN
ejpam-5822	370	9	j	j	PROPN
ejpam-5822	370	10	)	)	PUNCT
ejpam-5822	371	1	+	+	CCONJ
ejpam-5822	371	2	g(t	g(t	PROPN
ejpam-5822	371	3	j	j	PROPN
ejpam-5822	371	4	)	)	PUNCT
ejpam-5822	371	5	(	(	PUNCT
ejpam-5822	371	6	t	t	PROPN
ejpam-5822	371	7	j	j	PROPN
ejpam-5822	372	1	−	−	PROPN
ejpam-5822	372	2	k	k	PROPN
ejpam-5822	372	3	j	j	PROPN
ejpam-5822	372	4	)	)	PUNCT
ejpam-5822	373	1	+	+	CCONJ
ejpam-5822	373	2	g(t	g(t	PROPN
ejpam-5822	373	3	j	j	PROPN
ejpam-5822	373	4	)	)	PUNCT
ejpam-5822	373	5	(	(	PUNCT
ejpam-5822	373	6	t	t	PROPN
ejpam-5822	373	7	j	j	PROPN
ejpam-5822	373	8	−	−	PROPN
ejpam-5822	373	9	y	y	PROPN
ejpam-5822	373	10	j	j	PROPN
ejpam-5822	373	11	)	)	PUNCT
ejpam-5822	374	1	+	+	CCONJ
ejpam-5822	374	2	g(t	g(t	PROPN
ejpam-5822	374	3	j	j	PROPN
ejpam-5822	374	4	)	)	PUNCT
ejpam-5822	374	5	(	(	PUNCT
ejpam-5822	374	6	t	t	PROPN
ejpam-5822	374	7	j	j	PROPN
ejpam-5822	375	1	−	−	PROPN
ejpam-5822	375	2	z	z	PROPN
ejpam-5822	375	3	j	j	PROPN
ejpam-5822	375	4	)	)	PUNCT
ejpam-5822	375	5	.	.	PUNCT
ejpam-5822	376	1	case	case	NOUN
ejpam-5822	376	2	2	2	NUM
ejpam-5822	376	3	:	:	PUNCT
ejpam-5822	376	4	using	use	VERB
ejpam-5822	376	5	weight	weight	NOUN
ejpam-5822	376	6	function	function	NOUN
ejpam-5822	376	7	of	of	ADP
ejpam-5822	376	8	the	the	DET
ejpam-5822	376	9	form	form	NOUN
ejpam-5822	376	10	h(λ	h(λ	PROPN
ejpam-5822	376	11	,	,	PUNCT
ejpam-5822	376	12	µ	µ	NOUN
ejpam-5822	376	13	)	)	PUNCT
ejpam-5822	376	14	=	=	PUNCT
ejpam-5822	377	1	1+λ	1+λ	NUM
ejpam-5822	377	2	µ	µ	X
ejpam-5822	377	3	+	+	X
ejpam-5822	377	4	(	(	PUNCT
ejpam-5822	377	5	λ	λ	X
ejpam-5822	377	6	µ)3	µ)3	NOUN
ejpam-5822	377	7	−µ	−µ	NOUN
ejpam-5822	377	8	3	3	NUM
ejpam-5822	377	9	−8µ	−8µ	PROPN
ejpam-5822	377	10	2	2	NUM
ejpam-5822	377	11	λ	λ	NOUN
ejpam-5822	377	12	.	.	PUNCT
ejpam-5822	378	1	the	the	DET
ejpam-5822	378	2	new	new	ADJ
ejpam-5822	378	3	scheme	scheme	NOUN
ejpam-5822	378	4	,	,	PUNCT
ejpam-5822	378	5	termed	term	VERB
ejpam-5822	378	6	sfhm-2	sfhm-2	PROPN
ejpam-5822	378	7	,	,	PUNCT
ejpam-5822	378	8	takes	take	VERB
ejpam-5822	378	9	on	on	ADP
ejpam-5822	378	10	the	the	DET
ejpam-5822	378	11	following	follow	VERB
ejpam-5822	378	12	form	form	NOUN
ejpam-5822	378	13	in	in	ADP
ejpam-5822	378	14	the	the	DET
ejpam-5822	378	15	third	third	ADJ
ejpam-5822	378	16	step	step	NOUN
ejpam-5822	378	17	of	of	ADP
ejpam-5822	378	18	(	(	PUNCT
ejpam-5822	378	19	5	5	NUM
ejpam-5822	378	20	)	)	PUNCT
ejpam-5822	378	21	.	.	PUNCT
ejpam-5822	379	1	y	y	PROPN
ejpam-5822	379	2	j	j	PROPN
ejpam-5822	379	3	=	=	SYM
ejpam-5822	379	4	k	k	PROPN
ejpam-5822	379	5	j	j	PROPN
ejpam-5822	380	1	−	−	PROPN
ejpam-5822	380	2	g(k	g(k	PROPN
ejpam-5822	380	3	j	j	PROPN
ejpam-5822	380	4	)	)	PUNCT
ejpam-5822	380	5	g[ζ	g[ζ	PROPN
ejpam-5822	381	1	j	j	PROPN
ejpam-5822	381	2	,	,	PUNCT
ejpam-5822	381	3	k	k	PROPN
ejpam-5822	381	4	j	j	X
ejpam-5822	381	5	]	]	X
ejpam-5822	381	6	,	,	PUNCT
ejpam-5822	381	7	ζ	ζ	PROPN
ejpam-5822	381	8	j	j	NOUN
ejpam-5822	381	9	=	=	SYM
ejpam-5822	381	10	k	k	PROPN
ejpam-5822	381	11	j	j	PROPN
ejpam-5822	382	1	+	+	PROPN
ejpam-5822	382	2	βg(k	βg(k	SYM
ejpam-5822	382	3	j	j	NOUN
ejpam-5822	382	4	)	)	PUNCT
ejpam-5822	382	5	4	4	NUM
ejpam-5822	382	6	,	,	PUNCT
ejpam-5822	382	7	z	z	NOUN
ejpam-5822	382	8	j	j	NOUN
ejpam-5822	382	9	=	=	SYM
ejpam-5822	382	10	y	y	PROPN
ejpam-5822	382	11	j	j	PROPN
ejpam-5822	382	12	−	−	PROPN
ejpam-5822	382	13	g(y	g(y	PROPN
ejpam-5822	382	14	j	j	PROPN
ejpam-5822	382	15	)	)	PUNCT
ejpam-5822	382	16	2g[y	2g[y	NUM
ejpam-5822	382	17	j	j	PROPN
ejpam-5822	382	18	,	,	PUNCT
ejpam-5822	382	19	k	k	PROPN
ejpam-5822	382	20	j]−g[ζ	j]−g[ζ	PROPN
ejpam-5822	382	21	j	j	PROPN
ejpam-5822	382	22	,	,	PUNCT
ejpam-5822	382	23	k	k	PROPN
ejpam-5822	382	24	j	j	X
ejpam-5822	382	25	]	]	X
ejpam-5822	382	26	,	,	PUNCT
ejpam-5822	382	27	t	t	PROPN
ejpam-5822	382	28	j	j	PROPN
ejpam-5822	383	1	=	=	SYM
ejpam-5822	383	2	z	z	PROPN
ejpam-5822	383	3	j	j	PROPN
ejpam-5822	383	4	−	−	PROPN
ejpam-5822	384	1	g(z	g(z	PROPN
ejpam-5822	384	2	j	j	PROPN
ejpam-5822	384	3	)	)	PUNCT
ejpam-5822	384	4	g[ζ	g[ζ	PROPN
ejpam-5822	385	1	j	j	PROPN
ejpam-5822	385	2	,	,	PUNCT
ejpam-5822	385	3	y	y	PROPN
ejpam-5822	385	4	j	j	PROPN
ejpam-5822	385	5	,	,	PUNCT
ejpam-5822	385	6	z	z	PROPN
ejpam-5822	385	7	j](z	j](z	PROPN
ejpam-5822	386	1	j	j	PROPN
ejpam-5822	386	2	−	−	PROPN
ejpam-5822	387	1	y	y	PROPN
ejpam-5822	387	2	j)+g[y	j)+g[y	PROPN
ejpam-5822	387	3	j	j	PROPN
ejpam-5822	387	4	,	,	PUNCT
ejpam-5822	387	5	z	z	PROPN
ejpam-5822	387	6	j	j	X
ejpam-5822	387	7	]	]	X
ejpam-5822	387	8	(	(	PUNCT
ejpam-5822	387	9	1+λ	1+λ	NUM
ejpam-5822	387	10	µ	µ	X
ejpam-5822	387	11	+	+	PROPN
ejpam-5822	387	12	(	(	PUNCT
ejpam-5822	387	13	λ	λ	X
ejpam-5822	387	14	µ)3	µ)3	NOUN
ejpam-5822	387	15	−µ	−µ	NOUN
ejpam-5822	387	16	3	3	NUM
ejpam-5822	387	17	−8µ	−8µ	PROPN
ejpam-5822	387	18	2	2	NUM
ejpam-5822	387	19	λ	λ	NOUN
ejpam-5822	387	20	)	)	PUNCT
ejpam-5822	387	21	,	,	PUNCT
ejpam-5822	388	1	k	k	X
ejpam-5822	388	2	j+1	j+1	X
ejpam-5822	388	3	=	=	PUNCT
ejpam-5822	388	4	t	t	PROPN
ejpam-5822	388	5	j	j	PROPN
ejpam-5822	388	6	−	−	PROPN
ejpam-5822	388	7	g(t	g(t	PROPN
ejpam-5822	388	8	j	j	PROPN
ejpam-5822	388	9	)	)	PUNCT
ejpam-5822	388	10	ml	ml	VERB
ejpam-5822	388	11	,	,	PUNCT
ejpam-5822	388	12	(	(	PUNCT
ejpam-5822	388	13	38	38	NUM
ejpam-5822	388	14	)	)	PUNCT
ejpam-5822	389	1	where	where	SCONJ
ejpam-5822	389	2	β	β	X
ejpam-5822	389	3	∈	∈	PROPN
ejpam-5822	389	4	r\{0	r\{0	PROPN
ejpam-5822	389	5	}	}	PUNCT
ejpam-5822	389	6	,	,	PUNCT
ejpam-5822	389	7	λ	λ	X
ejpam-5822	389	8	=	=	SYM
ejpam-5822	389	9	g(z	g(z	PROPN
ejpam-5822	389	10	j	j	PROPN
ejpam-5822	389	11	)	)	PUNCT
ejpam-5822	389	12	g(y	g(y	PROPN
ejpam-5822	389	13	j	j	PROPN
ejpam-5822	389	14	)	)	PUNCT
ejpam-5822	389	15	,	,	PUNCT
ejpam-5822	389	16	µ	µ	X
ejpam-5822	389	17	=	=	SYM
ejpam-5822	389	18	g(y	g(y	PROPN
ejpam-5822	389	19	j	j	PROPN
ejpam-5822	389	20	)	)	PUNCT
ejpam-5822	389	21	g(k	g(k	PROPN
ejpam-5822	389	22	j	j	NOUN
ejpam-5822	389	23	)	)	PUNCT
ejpam-5822	389	24	and	and	CCONJ
ejpam-5822	389	25	ml	ml	X
ejpam-5822	389	26	=	=	SYM
ejpam-5822	389	27	(	(	PUNCT
ejpam-5822	389	28	t	t	PROPN
ejpam-5822	389	29	j	j	PROPN
ejpam-5822	389	30	−	−	PROPN
ejpam-5822	389	31	z	z	PROPN
ejpam-5822	389	32	j)(t	j)(t	PROPN
ejpam-5822	389	33	j	j	PROPN
ejpam-5822	390	1	−	−	PROPN
ejpam-5822	390	2	k	k	PROPN
ejpam-5822	390	3	j)(t	j)(t	PROPN
ejpam-5822	390	4	j	j	PROPN
ejpam-5822	390	5	−	−	PROPN
ejpam-5822	391	1	y	y	PROPN
ejpam-5822	391	2	j)g(ζ	j)g(ζ	PROPN
ejpam-5822	391	3	j	j	PROPN
ejpam-5822	391	4	)	)	PUNCT
ejpam-5822	392	1	(	(	PUNCT
ejpam-5822	392	2	ζ	ζ	NOUN
ejpam-5822	392	3	j	j	PROPN
ejpam-5822	392	4	−	−	PROPN
ejpam-5822	392	5	t	t	PROPN
ejpam-5822	392	6	j)(ζ	j)(ζ	PROPN
ejpam-5822	392	7	j	j	PROPN
ejpam-5822	392	8	−	−	PROPN
ejpam-5822	392	9	z	z	PROPN
ejpam-5822	392	10	j)(ζ	j)(ζ	PROPN
ejpam-5822	393	1	j	j	PROPN
ejpam-5822	394	1	−	−	PROPN
ejpam-5822	394	2	k	k	PROPN
ejpam-5822	394	3	j)(ζ	j)(ζ	PROPN
ejpam-5822	395	1	j	j	X
ejpam-5822	395	2	−	−	PROPN
ejpam-5822	395	3	y	y	PROPN
ejpam-5822	395	4	j	j	PROPN
ejpam-5822	395	5	)	)	PUNCT
ejpam-5822	396	1	+	+	CCONJ
ejpam-5822	396	2	(	(	PUNCT
ejpam-5822	396	3	t	t	PROPN
ejpam-5822	396	4	j	j	PROPN
ejpam-5822	397	1	−	−	PROPN
ejpam-5822	397	2	z	z	PROPN
ejpam-5822	397	3	j)(t	j)(t	PROPN
ejpam-5822	397	4	j	j	PROPN
ejpam-5822	397	5	−ζ	−ζ	PROPN
ejpam-5822	397	6	j)(t	j)(t	PROPN
ejpam-5822	397	7	j	j	PROPN
ejpam-5822	397	8	−	−	PROPN
ejpam-5822	397	9	y	y	PROPN
ejpam-5822	397	10	j)g(k	j)g(k	PROPN
ejpam-5822	397	11	j	j	PROPN
ejpam-5822	397	12	)	)	PUNCT
ejpam-5822	398	1	(	(	PUNCT
ejpam-5822	398	2	k	k	PROPN
ejpam-5822	398	3	j	j	PROPN
ejpam-5822	398	4	−	−	PROPN
ejpam-5822	398	5	y	y	PROPN
ejpam-5822	398	6	j)(k	j)(k	PROPN
ejpam-5822	399	1	j	j	PROPN
ejpam-5822	399	2	−	−	PROPN
ejpam-5822	399	3	t	t	PROPN
ejpam-5822	399	4	j)(k	j)(k	PROPN
ejpam-5822	400	1	j	j	PROPN
ejpam-5822	400	2	−ζ	−ζ	PROPN
ejpam-5822	400	3	j)(ζ	j)(ζ	PROPN
ejpam-5822	401	1	j	j	PROPN
ejpam-5822	401	2	−	−	PROPN
ejpam-5822	401	3	z	z	PROPN
ejpam-5822	401	4	j	j	PROPN
ejpam-5822	401	5	)	)	PUNCT
ejpam-5822	402	1	+	+	CCONJ
ejpam-5822	402	2	(	(	PUNCT
ejpam-5822	402	3	t	t	PROPN
ejpam-5822	402	4	j	j	PROPN
ejpam-5822	403	1	−	−	PROPN
ejpam-5822	403	2	z	z	PROPN
ejpam-5822	403	3	j)(t	j)(t	PROPN
ejpam-5822	403	4	j	j	PROPN
ejpam-5822	403	5	−ζ	−ζ	PROPN
ejpam-5822	403	6	j)(t	j)(t	PROPN
ejpam-5822	403	7	j	j	PROPN
ejpam-5822	404	1	−	−	PROPN
ejpam-5822	404	2	k	k	PROPN
ejpam-5822	404	3	j)g(y	j)g(y	PROPN
ejpam-5822	404	4	j	j	PROPN
ejpam-5822	404	5	)	)	PUNCT
ejpam-5822	404	6	(	(	PUNCT
ejpam-5822	404	7	y	y	PROPN
ejpam-5822	404	8	j	j	PROPN
ejpam-5822	405	1	−	−	PROPN
ejpam-5822	405	2	z	z	PROPN
ejpam-5822	406	1	j)(y	j)(y	PROPN
ejpam-5822	407	1	j	j	PROPN
ejpam-5822	407	2	−	−	PROPN
ejpam-5822	407	3	t	t	PROPN
ejpam-5822	407	4	j)(y	j)(y	PROPN
ejpam-5822	407	5	j	j	PROPN
ejpam-5822	407	6	−ζ	−ζ	PROPN
ejpam-5822	407	7	j)(y	j)(y	PROPN
ejpam-5822	408	1	j	j	PROPN
ejpam-5822	408	2	−	−	PROPN
ejpam-5822	408	3	k	k	PROPN
ejpam-5822	408	4	j	j	PROPN
ejpam-5822	408	5	)	)	PUNCT
ejpam-5822	409	1	+	+	CCONJ
ejpam-5822	409	2	(	(	PUNCT
ejpam-5822	409	3	t	t	PROPN
ejpam-5822	409	4	j	j	PROPN
ejpam-5822	410	1	−	−	PROPN
ejpam-5822	410	2	k	k	PROPN
ejpam-5822	410	3	j)(t	j)(t	PROPN
ejpam-5822	410	4	j	j	PROPN
ejpam-5822	410	5	−ζ	−ζ	PROPN
ejpam-5822	410	6	j)(t	j)(t	PROPN
ejpam-5822	410	7	j	j	PROPN
ejpam-5822	411	1	−	−	PROPN
ejpam-5822	411	2	y	y	PROPN
ejpam-5822	411	3	j)g(z	j)g(z	PROPN
ejpam-5822	411	4	j	j	PROPN
ejpam-5822	411	5	)	)	PUNCT
ejpam-5822	411	6	(	(	PUNCT
ejpam-5822	411	7	z	z	NOUN
ejpam-5822	411	8	j	j	PROPN
ejpam-5822	411	9	−	−	PROPN
ejpam-5822	411	10	t	t	PROPN
ejpam-5822	411	11	j)(z	j)(z	PROPN
ejpam-5822	412	1	j	j	PROPN
ejpam-5822	412	2	−ζ	−ζ	PROPN
ejpam-5822	412	3	j)(z	j)(z	PUNCT
ejpam-5822	413	1	j	j	PROPN
ejpam-5822	414	1	−	−	PROPN
ejpam-5822	414	2	k	k	PROPN
ejpam-5822	414	3	j)(z	j)(z	PROPN
ejpam-5822	415	1	j	j	NOUN
ejpam-5822	415	2	−	−	PROPN
ejpam-5822	415	3	y	y	PROPN
ejpam-5822	415	4	j	j	PROPN
ejpam-5822	415	5	)	)	PUNCT
ejpam-5822	416	1	+	+	CCONJ
ejpam-5822	416	2	g(t	g(t	PROPN
ejpam-5822	416	3	j	j	PROPN
ejpam-5822	416	4	)	)	PUNCT
ejpam-5822	416	5	(	(	PUNCT
ejpam-5822	416	6	t	t	PROPN
ejpam-5822	416	7	j	j	PROPN
ejpam-5822	416	8	−ζ	−ζ	PROPN
ejpam-5822	416	9	j	j	PROPN
ejpam-5822	416	10	)	)	PUNCT
ejpam-5822	417	1	+	+	CCONJ
ejpam-5822	417	2	g(t	g(t	PROPN
ejpam-5822	417	3	j	j	PROPN
ejpam-5822	417	4	)	)	PUNCT
ejpam-5822	417	5	(	(	PUNCT
ejpam-5822	417	6	t	t	PROPN
ejpam-5822	417	7	j	j	PROPN
ejpam-5822	418	1	−	−	PROPN
ejpam-5822	418	2	k	k	PROPN
ejpam-5822	418	3	j	j	PROPN
ejpam-5822	418	4	)	)	PUNCT
ejpam-5822	419	1	+	+	CCONJ
ejpam-5822	419	2	g(t	g(t	PROPN
ejpam-5822	419	3	j	j	PROPN
ejpam-5822	419	4	)	)	PUNCT
ejpam-5822	419	5	(	(	PUNCT
ejpam-5822	419	6	t	t	PROPN
ejpam-5822	419	7	j	j	PROPN
ejpam-5822	419	8	−	−	PROPN
ejpam-5822	419	9	y	y	PROPN
ejpam-5822	419	10	j	j	PROPN
ejpam-5822	419	11	)	)	PUNCT
ejpam-5822	420	1	+	+	CCONJ
ejpam-5822	420	2	g(t	g(t	PROPN
ejpam-5822	420	3	j	j	PROPN
ejpam-5822	420	4	)	)	PUNCT
ejpam-5822	420	5	(	(	PUNCT
ejpam-5822	420	6	t	t	PROPN
ejpam-5822	420	7	j	j	PROPN
ejpam-5822	421	1	−	−	PROPN
ejpam-5822	421	2	z	z	PROPN
ejpam-5822	421	3	j	j	PROPN
ejpam-5822	421	4	)	)	PUNCT
ejpam-5822	421	5	.	.	PUNCT
ejpam-5822	422	1	s.	s.	PROPN
ejpam-5822	422	2	akram	akram	PROPN
ejpam-5822	422	3	et	et	PROPN
ejpam-5822	422	4	al	al	PROPN
ejpam-5822	422	5	.	.	PUNCT
ejpam-5822	422	6	/	/	SYM
ejpam-5822	422	7	eur	eur	PROPN
ejpam-5822	422	8	.	.	PUNCT
ejpam-5822	423	1	j.	j.	PROPN
ejpam-5822	423	2	pure	pure	PROPN
ejpam-5822	423	3	appl	appl	PROPN
ejpam-5822	423	4	.	.	PROPN
ejpam-5822	423	5	math	math	PROPN
ejpam-5822	423	6	,	,	PUNCT
ejpam-5822	423	7	18	18	NUM
ejpam-5822	423	8	(	(	PUNCT
ejpam-5822	423	9	2	2	NUM
ejpam-5822	423	10	)	)	PUNCT
ejpam-5822	423	11	(	(	PUNCT
ejpam-5822	423	12	2025	2025	NUM
ejpam-5822	423	13	)	)	PUNCT
ejpam-5822	423	14	,	,	PUNCT
ejpam-5822	423	15	5822	5822	NUM
ejpam-5822	423	16	11	11	NUM
ejpam-5822	423	17	of	of	ADP
ejpam-5822	423	18	26	26	NUM
ejpam-5822	423	19	4	4	NUM
ejpam-5822	423	20	.	.	PUNCT
ejpam-5822	424	1	computational	computational	ADJ
ejpam-5822	424	2	analysis	analysis	NOUN
ejpam-5822	424	3	in	in	ADP
ejpam-5822	424	4	this	this	DET
ejpam-5822	424	5	section	section	NOUN
ejpam-5822	424	6	,	,	PUNCT
ejpam-5822	424	7	we	we	PRON
ejpam-5822	424	8	delve	delve	VERB
ejpam-5822	424	9	into	into	ADP
ejpam-5822	424	10	examining	examine	VERB
ejpam-5822	424	11	the	the	DET
ejpam-5822	424	12	convergence	convergence	NOUN
ejpam-5822	424	13	behavior	behavior	NOUN
ejpam-5822	424	14	,	,	PUNCT
ejpam-5822	424	15	effectiveness	effectiveness	NOUN
ejpam-5822	424	16	,	,	PUNCT
ejpam-5822	424	17	robustness	robustness	NOUN
ejpam-5822	424	18	,	,	PUNCT
ejpam-5822	424	19	and	and	CCONJ
ejpam-5822	424	20	validity	validity	NOUN
ejpam-5822	424	21	of	of	ADP
ejpam-5822	424	22	the	the	DET
ejpam-5822	424	23	schemes	scheme	NOUN
ejpam-5822	424	24	proposed	propose	VERB
ejpam-5822	424	25	in	in	ADP
ejpam-5822	424	26	section	section	NOUN
ejpam-5822	424	27	2	2	NUM
ejpam-5822	424	28	.	.	PUNCT
ejpam-5822	424	29	to	to	PART
ejpam-5822	424	30	assess	assess	VERB
ejpam-5822	424	31	accuracy	accuracy	NOUN
ejpam-5822	424	32	,	,	PUNCT
ejpam-5822	424	33	we	we	PRON
ejpam-5822	424	34	employ	employ	VERB
ejpam-5822	424	35	the	the	DET
ejpam-5822	424	36	absolute	absolute	ADJ
ejpam-5822	424	37	error	error	NOUN
ejpam-5822	424	38	between	between	ADP
ejpam-5822	424	39	consecutive	consecutive	ADJ
ejpam-5822	424	40	iterations	iteration	NOUN
ejpam-5822	424	41	|k	|k	PROPN
ejpam-5822	424	42	j+1−k	j+1−k	PROPN
ejpam-5822	424	43	j|	j|	PROPN
ejpam-5822	424	44	for	for	ADP
ejpam-5822	424	45	the	the	DET
ejpam-5822	424	46	initial	initial	ADJ
ejpam-5822	424	47	three	three	NUM
ejpam-5822	424	48	iterations	iteration	NOUN
ejpam-5822	424	49	.	.	PUNCT
ejpam-5822	425	1	the	the	DET
ejpam-5822	425	2	theoretical	theoretical	ADJ
ejpam-5822	425	3	order	order	NOUN
ejpam-5822	425	4	of	of	ADP
ejpam-5822	425	5	convergence	convergence	NOUN
ejpam-5822	425	6	is	be	AUX
ejpam-5822	425	7	confirmed	confirm	VERB
ejpam-5822	425	8	through	through	ADP
ejpam-5822	425	9	the	the	DET
ejpam-5822	425	10	calculation	calculation	NOUN
ejpam-5822	425	11	of	of	ADP
ejpam-5822	425	12	the	the	DET
ejpam-5822	425	13	computational	computational	ADJ
ejpam-5822	425	14	order	order	NOUN
ejpam-5822	425	15	of	of	ADP
ejpam-5822	425	16	convergence	convergence	NOUN
ejpam-5822	425	17	(	(	PUNCT
ejpam-5822	425	18	coc	coc	PROPN
ejpam-5822	425	19	)	)	PUNCT
ejpam-5822	425	20	.	.	PUNCT
ejpam-5822	426	1	p	p	X
ejpam-5822	426	2	=	=	PUNCT
ejpam-5822	426	3	ln	ln	PROPN
ejpam-5822	426	4	|(k	|(k	PROPN
ejpam-5822	427	1	j	j	PROPN
ejpam-5822	427	2	−	−	PROPN
ejpam-5822	427	3	k	k	PROPN
ejpam-5822	427	4	j−1)/(k	j−1)/(k	PROPN
ejpam-5822	428	1	j−1	j−1	PROPN
ejpam-5822	428	2	−	−	PROPN
ejpam-5822	429	1	k	k	PROPN
ejpam-5822	429	2	j−2)|	j−2)|	PROPN
ejpam-5822	429	3	ln	ln	PROPN
ejpam-5822	429	4	|(k	|(k	PROPN
ejpam-5822	430	1	j−1	j−1	PROPN
ejpam-5822	430	2	−	−	PROPN
ejpam-5822	431	1	k	k	PROPN
ejpam-5822	431	2	j−2)/(k	j−2)/(k	PROPN
ejpam-5822	431	3	j−2	j−2	PROPN
ejpam-5822	431	4	−	−	PROPN
ejpam-5822	432	1	k	k	INTJ
ejpam-5822	432	2	j−3)|	j−3)|	PROPN
ejpam-5822	432	3	.	.	PUNCT
ejpam-5822	433	1	the	the	DET
ejpam-5822	433	2	maple	maple	NOUN
ejpam-5822	433	3	16	16	NUM
ejpam-5822	433	4	programming	programming	NOUN
ejpam-5822	433	5	package	package	NOUN
ejpam-5822	433	6	uses	use	VERB
ejpam-5822	433	7	multi	multi	ADJ
ejpam-5822	433	8	-	-	ADJ
ejpam-5822	433	9	precision	precision	ADJ
ejpam-5822	433	10	arithmetic	arithmetic	NOUN
ejpam-5822	433	11	with	with	ADP
ejpam-5822	433	12	2000	2000	NUM
ejpam-5822	433	13	significant	significant	ADJ
ejpam-5822	433	14	decimal	decimal	ADJ
ejpam-5822	433	15	digits	digit	NOUN
ejpam-5822	433	16	to	to	PART
ejpam-5822	433	17	ensure	ensure	VERB
ejpam-5822	433	18	high	high	ADJ
ejpam-5822	433	19	accuracy	accuracy	NOUN
ejpam-5822	433	20	and	and	CCONJ
ejpam-5822	433	21	prevent	prevent	VERB
ejpam-5822	433	22	the	the	DET
ejpam-5822	433	23	loss	loss	NOUN
ejpam-5822	433	24	of	of	ADP
ejpam-5822	433	25	significant	significant	ADJ
ejpam-5822	433	26	digits	digit	NOUN
ejpam-5822	433	27	.	.	PUNCT
ejpam-5822	434	1	different	different	ADJ
ejpam-5822	434	2	standard	standard	ADJ
ejpam-5822	434	3	test	test	NOUN
ejpam-5822	434	4	functions	function	NOUN
ejpam-5822	434	5	and	and	CCONJ
ejpam-5822	434	6	some	some	DET
ejpam-5822	434	7	real	real	ADJ
ejpam-5822	434	8	-	-	PUNCT
ejpam-5822	434	9	world	world	NOUN
ejpam-5822	434	10	problems	problem	NOUN
ejpam-5822	434	11	have	have	AUX
ejpam-5822	434	12	been	be	AUX
ejpam-5822	434	13	used	use	VERB
ejpam-5822	434	14	to	to	PART
ejpam-5822	434	15	check	check	VERB
ejpam-5822	434	16	the	the	DET
ejpam-5822	434	17	efficiency	efficiency	NOUN
ejpam-5822	434	18	of	of	ADP
ejpam-5822	434	19	our	our	PRON
ejpam-5822	434	20	proposed	propose	VERB
ejpam-5822	434	21	schemes	scheme	NOUN
ejpam-5822	434	22	.	.	PUNCT
ejpam-5822	435	1	the	the	DET
ejpam-5822	435	2	sixteenth	sixteenth	ADJ
ejpam-5822	435	3	-	-	PUNCT
ejpam-5822	435	4	order	order	NOUN
ejpam-5822	435	5	convergence	convergence	NOUN
ejpam-5822	435	6	techniques	technique	NOUN
ejpam-5822	435	7	that	that	PRON
ejpam-5822	435	8	were	be	AUX
ejpam-5822	435	9	employed	employ	VERB
ejpam-5822	435	10	for	for	ADP
ejpam-5822	435	11	comparison	comparison	NOUN
ejpam-5822	435	12	are	be	AUX
ejpam-5822	435	13	listed	list	VERB
ejpam-5822	435	14	below	below	ADV
ejpam-5822	435	15	.	.	PUNCT
ejpam-5822	436	1	for	for	ADP
ejpam-5822	436	2	the	the	DET
ejpam-5822	436	3	sake	sake	NOUN
ejpam-5822	436	4	of	of	ADP
ejpam-5822	436	5	comparison	comparison	NOUN
ejpam-5822	436	6	,	,	PUNCT
ejpam-5822	436	7	we	we	PRON
ejpam-5822	436	8	adopt	adopt	VERB
ejpam-5822	436	9	the	the	DET
ejpam-5822	436	10	iterative	iterative	NOUN
ejpam-5822	436	11	scheme	scheme	NOUN
ejpam-5822	436	12	introduced	introduce	VERB
ejpam-5822	436	13	by	by	ADP
ejpam-5822	436	14	sharma	sharma	PROPN
ejpam-5822	436	15	et	et	PROPN
ejpam-5822	436	16	al	al	PROPN
ejpam-5822	436	17	.	.	PUNCT
ejpam-5822	437	1	[	[	X
ejpam-5822	437	2	21	21	NUM
ejpam-5822	437	3	]	]	PUNCT
ejpam-5822	437	4	,	,	PUNCT
ejpam-5822	437	5	referred	refer	VERB
ejpam-5822	437	6	to	to	ADP
ejpam-5822	437	7	as	as	ADP
ejpam-5822	437	8	cm-1	cm-1	PROPN
ejpam-5822	437	9	.	.	PUNCT
ejpam-5822	438	1	this	this	DET
ejpam-5822	438	2	method	method	NOUN
ejpam-5822	438	3	was	be	AUX
ejpam-5822	438	4	constructed	construct	VERB
ejpam-5822	438	5	by	by	ADP
ejpam-5822	438	6	using	use	VERB
ejpam-5822	438	7	rational	rational	ADJ
ejpam-5822	438	8	interpolation	interpolation	NOUN
ejpam-5822	438	9	,	,	PUNCT
ejpam-5822	438	10	outlined	outline	VERB
ejpam-5822	438	11	as	as	ADP
ejpam-5822	438	12	:	:	PUNCT
ejpam-5822	438	13	z	z	NOUN
ejpam-5822	438	14	j	j	PROPN
ejpam-5822	438	15	=	=	SYM
ejpam-5822	438	16	k	k	PROPN
ejpam-5822	438	17	j	j	PROPN
ejpam-5822	439	1	−	−	PROPN
ejpam-5822	439	2	g(k	g(k	PROPN
ejpam-5822	439	3	j	j	PROPN
ejpam-5822	439	4	)	)	PUNCT
ejpam-5822	439	5	g′(k	g′(k	PROPN
ejpam-5822	439	6	j	j	PROPN
ejpam-5822	439	7	)	)	PUNCT
ejpam-5822	439	8	,	,	PUNCT
ejpam-5822	439	9	w	w	PROPN
ejpam-5822	439	10	j	j	PROPN
ejpam-5822	439	11	=	=	PUNCT
ejpam-5822	439	12	z	z	PROPN
ejpam-5822	439	13	j	j	PROPN
ejpam-5822	439	14	−	−	PROPN
ejpam-5822	439	15	g′(k	g′(k	PROPN
ejpam-5822	439	16	j)g(z	j)g(z	PROPN
ejpam-5822	439	17	j	j	PROPN
ejpam-5822	439	18	)	)	PUNCT
ejpam-5822	439	19	(	(	PUNCT
ejpam-5822	439	20	g[z	g[z	PROPN
ejpam-5822	439	21	j	j	PROPN
ejpam-5822	439	22	,	,	PUNCT
ejpam-5822	439	23	k	k	PROPN
ejpam-5822	439	24	j])2	j])2	PROPN
ejpam-5822	439	25	,	,	PUNCT
ejpam-5822	439	26	u	u	NOUN
ejpam-5822	439	27	j	j	PROPN
ejpam-5822	439	28	=	=	PUNCT
ejpam-5822	439	29	w	w	PROPN
ejpam-5822	439	30	j	j	PROPN
ejpam-5822	439	31	−	−	NUM
ejpam-5822	439	32	1	1	NUM
ejpam-5822	439	33	h1	h1	AUX
ejpam-5822	439	34	−h2	−h2	VERB
ejpam-5822	439	35	+	+	NOUN
ejpam-5822	439	36	h3	h3	NOUN
ejpam-5822	439	37	g′(k	g′(k	PROPN
ejpam-5822	439	38	j)g(w	j)g(w	PROPN
ejpam-5822	439	39	j	j	NOUN
ejpam-5822	439	40	)	)	PUNCT
ejpam-5822	439	41	(	(	PUNCT
ejpam-5822	439	42	g[w	g[w	PROPN
ejpam-5822	439	43	j	j	PROPN
ejpam-5822	439	44	,	,	PUNCT
ejpam-5822	439	45	k	k	PROPN
ejpam-5822	440	1	j])2	j])2	PROPN
ejpam-5822	440	2	,	,	PUNCT
ejpam-5822	440	3	k	k	PROPN
ejpam-5822	440	4	j+1	j+1	X
ejpam-5822	440	5	=	=	PUNCT
ejpam-5822	440	6	u	u	NOUN
ejpam-5822	440	7	j	j	NOUN
ejpam-5822	440	8	−	−	NOUN
ejpam-5822	440	9	1	1	NUM
ejpam-5822	440	10	h1	h1	AUX
ejpam-5822	440	11	−h2	−h2	VERB
ejpam-5822	440	12	+	+	NOUN
ejpam-5822	440	13	h3	h3	VERB
ejpam-5822	440	14	−h4	−h4	PROPN
ejpam-5822	440	15	g′(k	g′(k	PROPN
ejpam-5822	440	16	j)g(u	j)g(u	PROPN
ejpam-5822	440	17	j	j	PROPN
ejpam-5822	440	18	)	)	PUNCT
ejpam-5822	440	19	(	(	PUNCT
ejpam-5822	440	20	g[u	g[u	PROPN
ejpam-5822	440	21	j	j	PROPN
ejpam-5822	440	22	,	,	PUNCT
ejpam-5822	440	23	k	k	PROPN
ejpam-5822	440	24	j])2	j])2	PROPN
ejpam-5822	440	25	,	,	PUNCT
ejpam-5822	440	26	(	(	PUNCT
ejpam-5822	440	27	39	39	NUM
ejpam-5822	440	28	)	)	PUNCT
ejpam-5822	440	29	where	where	SCONJ
ejpam-5822	440	30	h1	h1	NOUN
ejpam-5822	440	31	=	=	SYM
ejpam-5822	440	32	z	z	PROPN
ejpam-5822	440	33	j	j	PROPN
ejpam-5822	440	34	−w	−w	ADV
ejpam-5822	440	35	j	j	PROPN
ejpam-5822	440	36	z	z	PROPN
ejpam-5822	440	37	j	j	PROPN
ejpam-5822	441	1	−	−	PROPN
ejpam-5822	441	2	k	k	PROPN
ejpam-5822	441	3	j	j	PROPN
ejpam-5822	441	4	,	,	PUNCT
ejpam-5822	441	5	h2	h2	PROPN
ejpam-5822	441	6	=	=	SYM
ejpam-5822	441	7	(	(	PUNCT
ejpam-5822	441	8	w	w	PROPN
ejpam-5822	441	9	j	j	PROPN
ejpam-5822	441	10	−	−	PROPN
ejpam-5822	441	11	k	k	PROPN
ejpam-5822	441	12	j	j	PROPN
ejpam-5822	441	13	)	)	PUNCT
ejpam-5822	441	14	2g′(k	2g′(k	NUM
ejpam-5822	441	15	j	j	NOUN
ejpam-5822	441	16	)	)	PUNCT
ejpam-5822	441	17	(	(	PUNCT
ejpam-5822	441	18	z	z	NOUN
ejpam-5822	441	19	j	j	PROPN
ejpam-5822	441	20	−w	−w	ADV
ejpam-5822	441	21	j)(z	j)(z	PUNCT
ejpam-5822	442	1	j	j	PROPN
ejpam-5822	443	1	−	−	PROPN
ejpam-5822	443	2	k	k	PROPN
ejpam-5822	443	3	j)g[z	j)g[z	PROPN
ejpam-5822	443	4	j	j	PROPN
ejpam-5822	443	5	,	,	PUNCT
ejpam-5822	443	6	k	k	PROPN
ejpam-5822	443	7	j	j	X
ejpam-5822	443	8	]	]	X
ejpam-5822	443	9	,	,	PUNCT
ejpam-5822	443	10	h3	h3	NOUN
ejpam-5822	443	11	=	=	SYM
ejpam-5822	443	12	(	(	PUNCT
ejpam-5822	443	13	w	w	NOUN
ejpam-5822	443	14	j	j	PROPN
ejpam-5822	443	15	−	−	PROPN
ejpam-5822	443	16	k	k	PROPN
ejpam-5822	444	1	j)g′(k	j)g′(k	PROPN
ejpam-5822	444	2	j	j	PROPN
ejpam-5822	444	3	)	)	PUNCT
ejpam-5822	444	4	(	(	PUNCT
ejpam-5822	444	5	z	z	NOUN
ejpam-5822	444	6	j	j	PROPN
ejpam-5822	444	7	−w	−w	ADV
ejpam-5822	444	8	j)g[w	j)g[w	PROPN
ejpam-5822	444	9	j	j	PROPN
ejpam-5822	444	10	,	,	PUNCT
ejpam-5822	444	11	k	k	PROPN
ejpam-5822	444	12	j	j	X
ejpam-5822	444	13	]	]	X
ejpam-5822	444	14	,	,	PUNCT
ejpam-5822	444	15	h1	h1	PROPN
ejpam-5822	444	16	=	=	SYM
ejpam-5822	444	17	(	(	PUNCT
ejpam-5822	444	18	z	z	NOUN
ejpam-5822	444	19	j	j	PROPN
ejpam-5822	444	20	−u	−u	PROPN
ejpam-5822	444	21	j)(w	j)(w	PROPN
ejpam-5822	444	22	j	j	PROPN
ejpam-5822	444	23	−u	−u	PROPN
ejpam-5822	444	24	j	j	PROPN
ejpam-5822	444	25	)	)	PUNCT
ejpam-5822	444	26	(	(	PUNCT
ejpam-5822	444	27	z	z	NOUN
ejpam-5822	444	28	j	j	PROPN
ejpam-5822	445	1	−	−	PROPN
ejpam-5822	445	2	k	k	PROPN
ejpam-5822	445	3	j)(w	j)(w	PROPN
ejpam-5822	445	4	j	j	PROPN
ejpam-5822	445	5	−	−	PROPN
ejpam-5822	445	6	k	k	PROPN
ejpam-5822	445	7	j	j	PROPN
ejpam-5822	445	8	)	)	PUNCT
ejpam-5822	445	9	,	,	PUNCT
ejpam-5822	445	10	h2	h2	NOUN
ejpam-5822	445	11	=	=	SYM
ejpam-5822	445	12	(	(	PUNCT
ejpam-5822	445	13	u	u	NOUN
ejpam-5822	445	14	j	j	PROPN
ejpam-5822	445	15	−	−	PROPN
ejpam-5822	445	16	k	k	PROPN
ejpam-5822	445	17	j	j	PROPN
ejpam-5822	445	18	)	)	PUNCT
ejpam-5822	445	19	2(u	2(u	NUM
ejpam-5822	446	1	j	j	PROPN
ejpam-5822	446	2	−w	−w	ADV
ejpam-5822	446	3	j)g′(k	j)g′(k	PROPN
ejpam-5822	446	4	j	j	PROPN
ejpam-5822	446	5	)	)	PUNCT
ejpam-5822	446	6	(	(	PUNCT
ejpam-5822	446	7	z	z	NOUN
ejpam-5822	446	8	j	j	PROPN
ejpam-5822	447	1	−	−	PROPN
ejpam-5822	447	2	k	k	PROPN
ejpam-5822	448	1	j)(z	j)(z	PROPN
ejpam-5822	449	1	j	j	PROPN
ejpam-5822	449	2	−u	−u	PROPN
ejpam-5822	449	3	j)(z	j)(z	PUNCT
ejpam-5822	450	1	j	j	PROPN
ejpam-5822	450	2	−w	−w	ADV
ejpam-5822	450	3	j)g[z	j)g[z	PROPN
ejpam-5822	450	4	j	j	PROPN
ejpam-5822	450	5	,	,	PUNCT
ejpam-5822	450	6	k	k	PROPN
ejpam-5822	450	7	j	j	X
ejpam-5822	450	8	]	]	X
ejpam-5822	450	9	,	,	PUNCT
ejpam-5822	450	10	h3	h3	NOUN
ejpam-5822	450	11	=	=	SYM
ejpam-5822	450	12	(	(	PUNCT
ejpam-5822	450	13	u	u	NOUN
ejpam-5822	450	14	j	j	PROPN
ejpam-5822	450	15	−	−	PROPN
ejpam-5822	450	16	k	k	PROPN
ejpam-5822	450	17	j	j	PROPN
ejpam-5822	450	18	)	)	PUNCT
ejpam-5822	450	19	2(z	2(z	NUM
ejpam-5822	451	1	j	j	PROPN
ejpam-5822	451	2	−u	−u	PROPN
ejpam-5822	451	3	j)g′(k	j)g′(k	PROPN
ejpam-5822	451	4	j	j	PROPN
ejpam-5822	451	5	)	)	PUNCT
ejpam-5822	451	6	(	(	PUNCT
ejpam-5822	451	7	w	w	NOUN
ejpam-5822	451	8	j	j	PROPN
ejpam-5822	451	9	−u	−u	PROPN
ejpam-5822	452	1	j)(w	j)(w	PROPN
ejpam-5822	452	2	j	j	PROPN
ejpam-5822	453	1	−	−	PROPN
ejpam-5822	454	1	z	z	PROPN
ejpam-5822	455	1	j)(w	j)(w	PROPN
ejpam-5822	455	2	j	j	PROPN
ejpam-5822	455	3	−	−	PROPN
ejpam-5822	455	4	k	k	PROPN
ejpam-5822	455	5	j)g[w	j)g[w	PROPN
ejpam-5822	455	6	j	j	PROPN
ejpam-5822	455	7	,	,	PUNCT
ejpam-5822	455	8	k	k	PROPN
ejpam-5822	455	9	j	j	X
ejpam-5822	455	10	]	]	X
ejpam-5822	455	11	,	,	PUNCT
ejpam-5822	455	12	h4	h4	PROPN
ejpam-5822	455	13	=	=	SYM
ejpam-5822	455	14	(	(	PUNCT
ejpam-5822	455	15	u	u	NOUN
ejpam-5822	455	16	j	j	PROPN
ejpam-5822	455	17	−	−	PROPN
ejpam-5822	455	18	k	k	PROPN
ejpam-5822	456	1	j)(2u	j)(2u	PROPN
ejpam-5822	456	2	j	j	PROPN
ejpam-5822	457	1	−	−	PROPN
ejpam-5822	457	2	z	z	PROPN
ejpam-5822	457	3	j	j	PROPN
ejpam-5822	457	4	−w	−w	ADV
ejpam-5822	457	5	j)g′(k	j)g′(k	PROPN
ejpam-5822	457	6	j	j	PROPN
ejpam-5822	457	7	)	)	PUNCT
ejpam-5822	457	8	(	(	PUNCT
ejpam-5822	457	9	w	w	NOUN
ejpam-5822	457	10	j	j	PROPN
ejpam-5822	457	11	−u	−u	PROPN
ejpam-5822	457	12	j)(z	j)(z	PUNCT
ejpam-5822	458	1	j	j	X
ejpam-5822	458	2	−u	−u	PROPN
ejpam-5822	458	3	j)g[u	j)g[u	PROPN
ejpam-5822	458	4	j	j	PROPN
ejpam-5822	458	5	,	,	PUNCT
ejpam-5822	458	6	k	k	PROPN
ejpam-5822	458	7	j	j	X
ejpam-5822	458	8	]	]	X
ejpam-5822	458	9	.	.	PUNCT
ejpam-5822	459	1	we	we	PRON
ejpam-5822	459	2	juxtapose	juxtapose	VERB
ejpam-5822	459	3	the	the	DET
ejpam-5822	459	4	numerical	numerical	ADJ
ejpam-5822	459	5	results	result	NOUN
ejpam-5822	459	6	of	of	ADP
ejpam-5822	459	7	our	our	PRON
ejpam-5822	459	8	newly	newly	ADV
ejpam-5822	459	9	developed	develop	VERB
ejpam-5822	459	10	methods	method	NOUN
ejpam-5822	459	11	with	with	ADP
ejpam-5822	459	12	an	an	DET
ejpam-5822	459	13	iterative	iterative	ADJ
ejpam-5822	459	14	fourpoint	fourpoint	NOUN
ejpam-5822	459	15	scheme	scheme	NOUN
ejpam-5822	459	16	devised	devise	VERB
ejpam-5822	459	17	by	by	ADP
ejpam-5822	459	18	sharifi	sharifi	NOUN
ejpam-5822	459	19	et	et	PROPN
ejpam-5822	459	20	al	al	PROPN
ejpam-5822	459	21	.	.	PUNCT
ejpam-5822	460	1	[	[	X
ejpam-5822	460	2	20	20	NUM
ejpam-5822	460	3	]	]	PUNCT
ejpam-5822	460	4	.	.	PUNCT
ejpam-5822	461	1	specifically	specifically	ADV
ejpam-5822	461	2	,	,	PUNCT
ejpam-5822	461	3	we	we	PRON
ejpam-5822	461	4	take	take	VERB
ejpam-5822	461	5	into	into	ADP
ejpam-5822	461	6	account	account	NOUN
ejpam-5822	461	7	their	their	PRON
ejpam-5822	461	8	scheme	scheme	NOUN
ejpam-5822	461	9	’s	’s	PART
ejpam-5822	461	10	s.	s.	PROPN
ejpam-5822	461	11	akram	akram	PROPN
ejpam-5822	461	12	et	et	PROPN
ejpam-5822	461	13	al	al	PROPN
ejpam-5822	461	14	.	.	PUNCT
ejpam-5822	461	15	/	/	SYM
ejpam-5822	461	16	eur	eur	PROPN
ejpam-5822	461	17	.	.	PUNCT
ejpam-5822	462	1	j.	j.	PROPN
ejpam-5822	462	2	pure	pure	PROPN
ejpam-5822	462	3	appl	appl	PROPN
ejpam-5822	462	4	.	.	PROPN
ejpam-5822	462	5	math	math	PROPN
ejpam-5822	462	6	,	,	PUNCT
ejpam-5822	462	7	18	18	NUM
ejpam-5822	462	8	(	(	PUNCT
ejpam-5822	462	9	2	2	NUM
ejpam-5822	462	10	)	)	PUNCT
ejpam-5822	462	11	(	(	PUNCT
ejpam-5822	462	12	2025	2025	NUM
ejpam-5822	462	13	)	)	PUNCT
ejpam-5822	462	14	,	,	PUNCT
ejpam-5822	462	15	5822	5822	NUM
ejpam-5822	462	16	12	12	NUM
ejpam-5822	462	17	of	of	ADP
ejpam-5822	462	18	26	26	NUM
ejpam-5822	462	19	special	special	ADJ
ejpam-5822	462	20	case	case	NOUN
ejpam-5822	462	21	,	,	PUNCT
ejpam-5822	462	22	denoted	denote	VERB
ejpam-5822	462	23	as	as	ADP
ejpam-5822	462	24	cm-2	cm-2	NOUN
ejpam-5822	462	25	,	,	PUNCT
ejpam-5822	462	26	which	which	PRON
ejpam-5822	462	27	is	be	AUX
ejpam-5822	462	28	formulated	formulate	VERB
ejpam-5822	462	29	as	as	SCONJ
ejpam-5822	462	30	follows	follow	VERB
ejpam-5822	462	31	:	:	PUNCT
ejpam-5822	462	32	y	y	PROPN
ejpam-5822	462	33	j	j	PROPN
ejpam-5822	463	1	=	=	SYM
ejpam-5822	463	2	k	k	PROPN
ejpam-5822	463	3	j	j	PROPN
ejpam-5822	464	1	−	−	PROPN
ejpam-5822	464	2	g(k	g(k	PROPN
ejpam-5822	464	3	j	j	PROPN
ejpam-5822	464	4	)	)	PUNCT
ejpam-5822	464	5	g′(k	g′(k	PROPN
ejpam-5822	464	6	j	j	PROPN
ejpam-5822	464	7	)	)	PUNCT
ejpam-5822	464	8	,	,	PUNCT
ejpam-5822	465	1	z	z	NOUN
ejpam-5822	465	2	j	j	X
ejpam-5822	466	1	=	=	PUNCT
ejpam-5822	466	2	y	y	PROPN
ejpam-5822	466	3	j	j	PROPN
ejpam-5822	466	4	−	−	PROPN
ejpam-5822	466	5	(	(	PUNCT
ejpam-5822	466	6	−6t3	−6t3	NUM
ejpam-5822	466	7	j	j	X
ejpam-5822	466	8	+5t2	+5t2	PROPN
ejpam-5822	466	9	j	j	PROPN
ejpam-5822	466	10	+2	+2	PROPN
ejpam-5822	466	11	t	t	PROPN
ejpam-5822	466	12	j	j	PROPN
ejpam-5822	466	13	+1	+1	PROPN
ejpam-5822	466	14	)	)	PUNCT
ejpam-5822	466	15	g(y	g(y	PROPN
ejpam-5822	466	16	j	j	PROPN
ejpam-5822	466	17	)	)	PUNCT
ejpam-5822	466	18	g′(k	g′(k	PROPN
ejpam-5822	466	19	j	j	PROPN
ejpam-5822	466	20	)	)	PUNCT
ejpam-5822	466	21	,	,	PUNCT
ejpam-5822	466	22	w	w	PROPN
ejpam-5822	466	23	j	j	PROPN
ejpam-5822	466	24	=	=	PUNCT
ejpam-5822	466	25	z	z	PROPN
ejpam-5822	466	26	j	j	PROPN
ejpam-5822	466	27	−	−	PROPN
ejpam-5822	466	28	(	(	PUNCT
ejpam-5822	466	29	1	1	NUM
ejpam-5822	466	30	+	+	SYM
ejpam-5822	466	31	2	2	NUM
ejpam-5822	466	32	t	t	NOUN
ejpam-5822	466	33	j	j	NOUN
ejpam-5822	467	1	+4u	+4u	NUM
ejpam-5822	467	2	j	j	PROPN
ejpam-5822	467	3	+6t2	+6t2	NUM
ejpam-5822	467	4	j	j	PROPN
ejpam-5822	467	5	+	+	CCONJ
ejpam-5822	467	6	k	k	PROPN
ejpam-5822	467	7	j	j	PROPN
ejpam-5822	467	8	)	)	PUNCT
ejpam-5822	468	1	g(z	g(z	PROPN
ejpam-5822	468	2	j	j	PROPN
ejpam-5822	468	3	)	)	PUNCT
ejpam-5822	468	4	g′(k	g′(k	PROPN
ejpam-5822	468	5	j	j	PROPN
ejpam-5822	468	6	)	)	PUNCT
ejpam-5822	468	7	,	,	PUNCT
ejpam-5822	469	1	k	k	X
ejpam-5822	469	2	j+1	j+1	X
ejpam-5822	469	3	=	=	PUNCT
ejpam-5822	469	4	w	w	PROPN
ejpam-5822	469	5	j	j	PROPN
ejpam-5822	469	6	−	−	PROPN
ejpam-5822	469	7	(	(	PUNCT
ejpam-5822	469	8	i(t	i(t	NOUN
ejpam-5822	469	9	j)+	j)+	NOUN
ejpam-5822	469	10	j(k	j(k	PROPN
ejpam-5822	469	11	j)+k(u	j)+k(u	PROPN
ejpam-5822	469	12	j)+l(t	j)+l(t	PROPN
ejpam-5822	469	13	j	j	PROPN
ejpam-5822	469	14	,	,	PUNCT
ejpam-5822	469	15	u	u	PROPN
ejpam-5822	469	16	j	j	PROPN
ejpam-5822	469	17	)	)	PUNCT
ejpam-5822	469	18	(	(	PUNCT
ejpam-5822	469	19	40	40	NUM
ejpam-5822	469	20	)	)	PUNCT
ejpam-5822	470	1	+	+	ADP
ejpam-5822	470	2	m(p	m(p	PROPN
ejpam-5822	470	3	j	j	PROPN
ejpam-5822	470	4	,	,	PUNCT
ejpam-5822	470	5	q	q	PROPN
ejpam-5822	470	6	j	j	PROPN
ejpam-5822	470	7	,	,	PUNCT
ejpam-5822	470	8	r	r	PROPN
ejpam-5822	470	9	j)+n(t	j)+n(t	PROPN
ejpam-5822	470	10	j	j	PROPN
ejpam-5822	470	11	,	,	PUNCT
ejpam-5822	470	12	k	k	PROPN
ejpam-5822	470	13	j	j	PROPN
ejpam-5822	470	14	,	,	PUNCT
ejpam-5822	470	15	u	u	PROPN
ejpam-5822	470	16	j	j	PROPN
ejpam-5822	470	17	,	,	PUNCT
ejpam-5822	470	18	r	r	PROPN
ejpam-5822	470	19	j	j	PROPN
ejpam-5822	470	20	)	)	PUNCT
ejpam-5822	470	21	)	)	PUNCT
ejpam-5822	470	22	.	.	PUNCT
ejpam-5822	471	1	g(w	g(w	PROPN
ejpam-5822	471	2	j	j	PROPN
ejpam-5822	471	3	)	)	PUNCT
ejpam-5822	471	4	g′(k	g′(k	PROPN
ejpam-5822	471	5	j	j	PROPN
ejpam-5822	471	6	)	)	PUNCT
ejpam-5822	471	7	,	,	PUNCT
ejpam-5822	471	8	where	where	SCONJ
ejpam-5822	471	9	i(t	i(t	PROPN
ejpam-5822	471	10	j	j	PROPN
ejpam-5822	471	11	)	)	PUNCT
ejpam-5822	471	12	=	=	SYM
ejpam-5822	472	1	6t2	6t2	NUM
ejpam-5822	472	2	j	j	NOUN
ejpam-5822	472	3	+2	+2	PROPN
ejpam-5822	472	4	t	t	PROPN
ejpam-5822	472	5	j	j	PROPN
ejpam-5822	472	6	,	,	PUNCT
ejpam-5822	472	7	j(k	j(k	PROPN
ejpam-5822	472	8	j	j	NOUN
ejpam-5822	472	9	)	)	PUNCT
ejpam-5822	473	1	=	=	SYM
ejpam-5822	473	2	−k	−k	PROPN
ejpam-5822	473	3	3	3	NUM
ejpam-5822	473	4	j	j	NOUN
ejpam-5822	474	1	+	+	CCONJ
ejpam-5822	474	2	k	k	PROPN
ejpam-5822	474	3	j	j	PROPN
ejpam-5822	474	4	+1	+1	PROPN
ejpam-5822	474	5	,	,	PUNCT
ejpam-5822	474	6	k(u	k(u	PROPN
ejpam-5822	474	7	j	j	PROPN
ejpam-5822	474	8	)	)	PUNCT
ejpam-5822	475	1	=	=	NOUN
ejpam-5822	475	2	4u	4u	NOUN
ejpam-5822	475	3	j	j	PROPN
ejpam-5822	475	4	−4u2	−4u2	PROPN
ejpam-5822	475	5	j	j	PROPN
ejpam-5822	475	6	,	,	PUNCT
ejpam-5822	475	7	l(t	l(t	PROPN
ejpam-5822	475	8	j	j	PROPN
ejpam-5822	475	9	,	,	PUNCT
ejpam-5822	475	10	u	u	PROPN
ejpam-5822	475	11	j	j	PROPN
ejpam-5822	475	12	)	)	PUNCT
ejpam-5822	475	13	=	=	SYM
ejpam-5822	476	1	t	t	PROPN
ejpam-5822	476	2	ju	ju	X
ejpam-5822	476	3	j	j	PROPN
ejpam-5822	477	1	+6t2	+6t2	PROPN
ejpam-5822	478	1	j	j	PROPN
ejpam-5822	479	1	u	u	NOUN
ejpam-5822	480	1	j	j	PROPN
ejpam-5822	481	1	+2t3	+2t3	PRON
ejpam-5822	481	2	j	j	PROPN
ejpam-5822	481	3	u	u	X
ejpam-5822	481	4	j	j	PROPN
ejpam-5822	481	5	−10	−10	PROPN
ejpam-5822	481	6	t	t	PROPN
ejpam-5822	481	7	ju2	ju2	PROPN
ejpam-5822	481	8	j	j	PROPN
ejpam-5822	481	9	,	,	PUNCT
ejpam-5822	481	10	m(p	m(p	PROPN
ejpam-5822	481	11	j	j	PROPN
ejpam-5822	481	12	,	,	PUNCT
ejpam-5822	481	13	q	q	PROPN
ejpam-5822	481	14	j	j	PROPN
ejpam-5822	481	15	,	,	PUNCT
ejpam-5822	481	16	r	r	PROPN
ejpam-5822	481	17	j	j	PROPN
ejpam-5822	481	18	)	)	PUNCT
ejpam-5822	482	1	=	=	PUNCT
ejpam-5822	482	2	r	r	NOUN
ejpam-5822	482	3	j	j	PROPN
ejpam-5822	483	1	+2q	+2q	NUM
ejpam-5822	483	2	j	j	PROPN
ejpam-5822	483	3	+8p	+8p	NUM
ejpam-5822	483	4	j	j	PROPN
ejpam-5822	483	5	,	,	PUNCT
ejpam-5822	483	6	n(t	n(t	PROPN
ejpam-5822	483	7	j	j	PROPN
ejpam-5822	483	8	,	,	PUNCT
ejpam-5822	483	9	k	k	PROPN
ejpam-5822	483	10	j	j	PROPN
ejpam-5822	483	11	,	,	PUNCT
ejpam-5822	483	12	u	u	PROPN
ejpam-5822	483	13	j	j	PROPN
ejpam-5822	483	14	,	,	PUNCT
ejpam-5822	483	15	r	r	PROPN
ejpam-5822	483	16	j	j	PROPN
ejpam-5822	483	17	)	)	PUNCT
ejpam-5822	483	18	)	)	PUNCT
ejpam-5822	484	1	=	=	PUNCT
ejpam-5822	484	2	2	2	NUM
ejpam-5822	484	3	t	t	NOUN
ejpam-5822	484	4	jr	jr	PROPN
ejpam-5822	484	5	j	j	PROPN
ejpam-5822	485	1	+2k	+2k	NUM
ejpam-5822	485	2	ju	ju	PROPN
ejpam-5822	486	1	j	j	PROPN
ejpam-5822	486	2	+6t2	+6t2	PROPN
ejpam-5822	486	3	j	j	PROPN
ejpam-5822	486	4	r	r	PROPN
ejpam-5822	486	5	j	j	PROPN
ejpam-5822	486	6	−4k2	−4k2	NUM
ejpam-5822	486	7	j	j	PROPN
ejpam-5822	486	8	u	u	PROPN
ejpam-5822	486	9	j	j	PROPN
ejpam-5822	487	1	+24t4	+24t4	PROPN
ejpam-5822	487	2	j	j	PROPN
ejpam-5822	487	3	u	u	PROPN
ejpam-5822	487	4	j	j	PROPN
ejpam-5822	487	5	,	,	PUNCT
ejpam-5822	487	6	t	t	PROPN
ejpam-5822	487	7	j	j	PROPN
ejpam-5822	488	1	=	=	PROPN
ejpam-5822	488	2	g(y	g(y	PROPN
ejpam-5822	488	3	j	j	PROPN
ejpam-5822	488	4	)	)	PUNCT
ejpam-5822	488	5	g(k	g(k	PROPN
ejpam-5822	488	6	j	j	PROPN
ejpam-5822	488	7	)	)	PUNCT
ejpam-5822	488	8	,	,	PUNCT
ejpam-5822	488	9	u	u	NOUN
ejpam-5822	488	10	j	j	PROPN
ejpam-5822	488	11	=	=	SYM
ejpam-5822	488	12	g(z	g(z	PROPN
ejpam-5822	488	13	j	j	PROPN
ejpam-5822	488	14	)	)	PUNCT
ejpam-5822	488	15	g(k	g(k	PROPN
ejpam-5822	488	16	j	j	NOUN
ejpam-5822	488	17	)	)	PUNCT
ejpam-5822	488	18	,	,	PUNCT
ejpam-5822	488	19	p	p	PROPN
ejpam-5822	488	20	j	j	PROPN
ejpam-5822	488	21	=	=	PROPN
ejpam-5822	488	22	g(w	g(w	PROPN
ejpam-5822	488	23	j	j	PROPN
ejpam-5822	488	24	)	)	PUNCT
ejpam-5822	488	25	g(k	g(k	PROPN
ejpam-5822	488	26	j	j	NOUN
ejpam-5822	488	27	)	)	PUNCT
ejpam-5822	488	28	,	,	PUNCT
ejpam-5822	489	1	k	k	PROPN
ejpam-5822	489	2	j	j	PROPN
ejpam-5822	489	3	=	=	SYM
ejpam-5822	489	4	g(z	g(z	PROPN
ejpam-5822	489	5	j	j	PROPN
ejpam-5822	489	6	)	)	PUNCT
ejpam-5822	489	7	g(y	g(y	PROPN
ejpam-5822	489	8	j	j	PROPN
ejpam-5822	489	9	)	)	PUNCT
ejpam-5822	489	10	,	,	PUNCT
ejpam-5822	489	11	q	q	PROPN
ejpam-5822	489	12	j	j	PROPN
ejpam-5822	489	13	=	=	PROPN
ejpam-5822	489	14	g(w	g(w	PROPN
ejpam-5822	489	15	j	j	PROPN
ejpam-5822	489	16	)	)	PUNCT
ejpam-5822	489	17	g(y	g(y	PROPN
ejpam-5822	489	18	j	j	PROPN
ejpam-5822	489	19	)	)	PUNCT
ejpam-5822	489	20	,	,	PUNCT
ejpam-5822	489	21	r	r	NOUN
ejpam-5822	489	22	j	j	PROPN
ejpam-5822	489	23	=	=	SYM
ejpam-5822	489	24	g(w	g(w	PROPN
ejpam-5822	489	25	j	j	PROPN
ejpam-5822	489	26	)	)	PUNCT
ejpam-5822	489	27	g(z	g(z	PROPN
ejpam-5822	489	28	j	j	PROPN
ejpam-5822	489	29	)	)	PUNCT
ejpam-5822	489	30	.	.	PUNCT
ejpam-5822	490	1	sivakumar	sivakumar	PROPN
ejpam-5822	490	2	et	et	PROPN
ejpam-5822	490	3	al	al	PROPN
ejpam-5822	490	4	.	.	PUNCT
ejpam-5822	491	1	[	[	X
ejpam-5822	491	2	28	28	NUM
ejpam-5822	491	3	]	]	PUNCT
ejpam-5822	491	4	introduced	introduce	VERB
ejpam-5822	491	5	the	the	DET
ejpam-5822	491	6	following	follow	VERB
ejpam-5822	491	7	four	four	NUM
ejpam-5822	491	8	-	-	PUNCT
ejpam-5822	491	9	point	point	NOUN
ejpam-5822	491	10	iterative	iterative	NOUN
ejpam-5822	491	11	method	method	NOUN
ejpam-5822	491	12	utilizing	utilize	VERB
ejpam-5822	491	13	the	the	DET
ejpam-5822	491	14	divided	divided	ADJ
ejpam-5822	491	15	difference	difference	NOUN
ejpam-5822	491	16	technique	technique	NOUN
ejpam-5822	491	17	,	,	PUNCT
ejpam-5822	491	18	known	know	VERB
ejpam-5822	491	19	as	as	ADP
ejpam-5822	491	20	cm-3	cm-3	ADV
ejpam-5822	491	21	:	:	PUNCT
ejpam-5822	491	22	y	y	PROPN
ejpam-5822	491	23	j	j	PROPN
ejpam-5822	491	24	=	=	SYM
ejpam-5822	492	1	k	k	PROPN
ejpam-5822	492	2	j	j	PROPN
ejpam-5822	492	3	−u(k	−u(k	PROPN
ejpam-5822	492	4	j	j	PROPN
ejpam-5822	492	5	)	)	PUNCT
ejpam-5822	492	6	,	,	PUNCT
ejpam-5822	493	1	z	z	NOUN
ejpam-5822	493	2	j	j	X
ejpam-5822	494	1	=	=	SYM
ejpam-5822	494	2	k	k	PROPN
ejpam-5822	494	3	j	j	PROPN
ejpam-5822	495	1	+	+	PROPN
ejpam-5822	495	2	g(k	g(k	PROPN
ejpam-5822	495	3	j	j	NOUN
ejpam-5822	495	4	)	)	PUNCT
ejpam-5822	495	5	4	4	NUM
ejpam-5822	495	6	,	,	PUNCT
ejpam-5822	495	7	z	z	NOUN
ejpam-5822	495	8	j	j	NOUN
ejpam-5822	496	1	=	=	SYM
ejpam-5822	496	2	k	k	PROPN
ejpam-5822	496	3	j	j	PROPN
ejpam-5822	496	4	−u(k	−u(k	PROPN
ejpam-5822	496	5	j	j	PROPN
ejpam-5822	496	6	)	)	PUNCT
ejpam-5822	496	7	[	[	PUNCT
ejpam-5822	496	8	g(k	g(k	VERB
ejpam-5822	496	9	j)−g(y	j)−g(y	CCONJ
ejpam-5822	496	10	j	j	NOUN
ejpam-5822	496	11	)	)	PUNCT
ejpam-5822	496	12	g(k	g(k	PROPN
ejpam-5822	496	13	j)−2g(y	j)−2g(y	PROPN
ejpam-5822	496	14	j	j	PROPN
ejpam-5822	496	15	)	)	PUNCT
ejpam-5822	496	16	]	]	PUNCT
ejpam-5822	496	17	,	,	PUNCT
ejpam-5822	496	18	w	w	PROPN
ejpam-5822	496	19	j	j	PROPN
ejpam-5822	496	20	=	=	PUNCT
ejpam-5822	496	21	z	z	PROPN
ejpam-5822	496	22	j	j	PROPN
ejpam-5822	497	1	−	−	PROPN
ejpam-5822	497	2	g(z	g(z	PROPN
ejpam-5822	497	3	j	j	PROPN
ejpam-5822	497	4	)	)	PUNCT
ejpam-5822	497	5	q′	q′	NOUN
ejpam-5822	498	1	(	(	PUNCT
ejpam-5822	498	2	z	z	NOUN
ejpam-5822	498	3	j	j	PROPN
ejpam-5822	498	4	)	)	PUNCT
ejpam-5822	498	5	,	,	PUNCT
ejpam-5822	499	1	k	k	X
ejpam-5822	499	2	j+1	j+1	X
ejpam-5822	499	3	=	=	PUNCT
ejpam-5822	499	4	w	w	PROPN
ejpam-5822	499	5	j	j	PROPN
ejpam-5822	499	6	−	−	PROPN
ejpam-5822	499	7	g(w	g(w	PROPN
ejpam-5822	499	8	j	j	PROPN
ejpam-5822	499	9	)	)	PUNCT
ejpam-5822	500	1	r′(w	r′(w	PROPN
ejpam-5822	500	2	j	j	PROPN
ejpam-5822	500	3	)	)	PUNCT
ejpam-5822	500	4	,	,	PUNCT
ejpam-5822	500	5	(	(	PUNCT
ejpam-5822	500	6	41	41	NUM
ejpam-5822	500	7	)	)	PUNCT
ejpam-5822	500	8	where	where	SCONJ
ejpam-5822	500	9	u(k	u(k	PROPN
ejpam-5822	500	10	j	j	PROPN
ejpam-5822	500	11	)	)	PUNCT
ejpam-5822	501	1	=	=	PUNCT
ejpam-5822	501	2	g(k	g(k	PROPN
ejpam-5822	501	3	j	j	PROPN
ejpam-5822	501	4	)	)	PUNCT
ejpam-5822	501	5	g′(k	g′(k	PROPN
ejpam-5822	501	6	j	j	PROPN
ejpam-5822	501	7	)	)	PUNCT
ejpam-5822	501	8	,	,	PUNCT
ejpam-5822	501	9	q′(z	q′(z	PROPN
ejpam-5822	501	10	j	j	NOUN
ejpam-5822	501	11	)	)	PUNCT
ejpam-5822	501	12	=	=	SYM
ejpam-5822	501	13	a1	a1	PROPN
ejpam-5822	501	14	+	+	PROPN
ejpam-5822	501	15	2a2(z	2a2(z	NUM
ejpam-5822	501	16	j	j	NOUN
ejpam-5822	501	17	−	−	PROPN
ejpam-5822	502	1	k	k	PROPN
ejpam-5822	502	2	j)+3a3(z	j)+3a3(z	PROPN
ejpam-5822	502	3	j	j	PROPN
ejpam-5822	502	4	−	−	PROPN
ejpam-5822	502	5	k	k	PROPN
ejpam-5822	502	6	j	j	PROPN
ejpam-5822	502	7	)	)	PUNCT
ejpam-5822	502	8	2	2	NUM
ejpam-5822	502	9	,	,	PUNCT
ejpam-5822	502	10	r′(w	r′(w	NOUN
ejpam-5822	502	11	j	j	NOUN
ejpam-5822	502	12	)	)	PUNCT
ejpam-5822	503	1	=	=	PUNCT
ejpam-5822	503	2	b1	b1	PROPN
ejpam-5822	503	3	+2b2(w	+2b2(w	PROPN
ejpam-5822	504	1	j	j	PROPN
ejpam-5822	505	1	−	−	PROPN
ejpam-5822	506	1	k	k	PROPN
ejpam-5822	506	2	j)+3b3(w	j)+3b3(w	PROPN
ejpam-5822	507	1	j	j	PROPN
ejpam-5822	507	2	−	−	PROPN
ejpam-5822	507	3	k	k	PROPN
ejpam-5822	507	4	j	j	PROPN
ejpam-5822	507	5	)	)	PUNCT
ejpam-5822	507	6	2	2	NUM
ejpam-5822	508	1	+4b4(w	+4b4(w	NUM
ejpam-5822	508	2	j	j	PROPN
ejpam-5822	508	3	−	−	PROPN
ejpam-5822	508	4	k	k	PROPN
ejpam-5822	508	5	j	j	PROPN
ejpam-5822	508	6	)	)	PUNCT
ejpam-5822	508	7	3	3	NUM
ejpam-5822	508	8	,	,	PUNCT
ejpam-5822	508	9	a1	a1	NOUN
ejpam-5822	508	10	=	=	SYM
ejpam-5822	508	11	g′(k	g′(k	PROPN
ejpam-5822	508	12	j	j	PROPN
ejpam-5822	508	13	)	)	PUNCT
ejpam-5822	508	14	=	=	SYM
ejpam-5822	508	15	b1	b1	PROPN
ejpam-5822	508	16	,	,	PUNCT
ejpam-5822	508	17	s.	s.	PROPN
ejpam-5822	508	18	akram	akram	PROPN
ejpam-5822	508	19	et	et	PROPN
ejpam-5822	508	20	al	al	PROPN
ejpam-5822	508	21	.	.	PUNCT
ejpam-5822	508	22	/	/	SYM
ejpam-5822	508	23	eur	eur	PROPN
ejpam-5822	508	24	.	.	PUNCT
ejpam-5822	509	1	j.	j.	PROPN
ejpam-5822	509	2	pure	pure	PROPN
ejpam-5822	509	3	appl	appl	PROPN
ejpam-5822	509	4	.	.	PROPN
ejpam-5822	509	5	math	math	PROPN
ejpam-5822	509	6	,	,	PUNCT
ejpam-5822	509	7	18	18	NUM
ejpam-5822	509	8	(	(	PUNCT
ejpam-5822	509	9	2	2	NUM
ejpam-5822	509	10	)	)	PUNCT
ejpam-5822	509	11	(	(	PUNCT
ejpam-5822	509	12	2025	2025	NUM
ejpam-5822	509	13	)	)	PUNCT
ejpam-5822	509	14	,	,	PUNCT
ejpam-5822	509	15	5822	5822	NUM
ejpam-5822	509	16	13	13	NUM
ejpam-5822	509	17	of	of	ADP
ejpam-5822	509	18	26	26	NUM
ejpam-5822	509	19	a2	a2	PROPN
ejpam-5822	509	20	=	=	SYM
ejpam-5822	509	21	g[y	g[y	PROPN
ejpam-5822	509	22	j	j	PROPN
ejpam-5822	509	23	,	,	PUNCT
ejpam-5822	509	24	k	k	PROPN
ejpam-5822	509	25	j	j	PROPN
ejpam-5822	509	26	,	,	PUNCT
ejpam-5822	509	27	k	k	PROPN
ejpam-5822	509	28	j](z	j](z	PROPN
ejpam-5822	509	29	j	j	PROPN
ejpam-5822	510	1	−	−	PROPN
ejpam-5822	510	2	k	k	PROPN
ejpam-5822	511	1	j)−g[z	j)−g[z	PROPN
ejpam-5822	511	2	j	j	PROPN
ejpam-5822	511	3	,	,	PUNCT
ejpam-5822	511	4	k	k	PROPN
ejpam-5822	511	5	j	j	PROPN
ejpam-5822	511	6	,	,	PUNCT
ejpam-5822	511	7	k	k	PROPN
ejpam-5822	511	8	j](y	j](y	PROPN
ejpam-5822	512	1	j	j	PROPN
ejpam-5822	512	2	−	−	PROPN
ejpam-5822	512	3	k	k	PROPN
ejpam-5822	512	4	j	j	PROPN
ejpam-5822	512	5	)	)	PUNCT
ejpam-5822	513	1	z	z	PROPN
ejpam-5822	514	1	j	j	PROPN
ejpam-5822	514	2	−	−	PROPN
ejpam-5822	514	3	y	y	PROPN
ejpam-5822	514	4	j	j	PROPN
ejpam-5822	514	5	,	,	PUNCT
ejpam-5822	514	6	a3	a3	PROPN
ejpam-5822	514	7	=	=	PROPN
ejpam-5822	514	8	g[z	g[z	PROPN
ejpam-5822	514	9	j	j	PROPN
ejpam-5822	514	10	,	,	PUNCT
ejpam-5822	514	11	k	k	PROPN
ejpam-5822	514	12	j	j	PROPN
ejpam-5822	514	13	,	,	PUNCT
ejpam-5822	514	14	k	k	PROPN
ejpam-5822	514	15	j]−g[y	j]−g[y	PROPN
ejpam-5822	514	16	j	j	PROPN
ejpam-5822	514	17	,	,	PUNCT
ejpam-5822	514	18	k	k	PROPN
ejpam-5822	514	19	j	j	PROPN
ejpam-5822	514	20	,	,	PUNCT
ejpam-5822	514	21	k	k	PROPN
ejpam-5822	514	22	j	j	X
ejpam-5822	514	23	]	]	X
ejpam-5822	514	24	z	z	PROPN
ejpam-5822	514	25	j	j	PROPN
ejpam-5822	515	1	−	−	PROPN
ejpam-5822	515	2	y	y	PROPN
ejpam-5822	515	3	j	j	PROPN
ejpam-5822	515	4	,	,	PUNCT
ejpam-5822	515	5	b4	b4	PROPN
ejpam-5822	515	6	=	=	SYM
ejpam-5822	515	7	(	(	PUNCT
ejpam-5822	515	8	g[y	g[y	PROPN
ejpam-5822	515	9	j	j	PROPN
ejpam-5822	515	10	,	,	PUNCT
ejpam-5822	515	11	k	k	PROPN
ejpam-5822	515	12	j	j	PROPN
ejpam-5822	515	13	,	,	PUNCT
ejpam-5822	516	1	k	k	PROPN
ejpam-5822	516	2	j](s3	j](s3	PROPN
ejpam-5822	517	1	−s2)+g[z	−s2)+g[z	PROPN
ejpam-5822	518	1	j	j	PROPN
ejpam-5822	518	2	,	,	PUNCT
ejpam-5822	518	3	k	k	PROPN
ejpam-5822	518	4	j	j	PROPN
ejpam-5822	518	5	,	,	PUNCT
ejpam-5822	518	6	k	k	PROPN
ejpam-5822	518	7	j](s3	j](s3	PROPN
ejpam-5822	519	1	+	+	PROPN
ejpam-5822	519	2	s1)+g[w	s1)+g[w	PROPN
ejpam-5822	519	3	j	j	PROPN
ejpam-5822	519	4	,	,	PUNCT
ejpam-5822	519	5	k	k	PROPN
ejpam-5822	519	6	j	j	PROPN
ejpam-5822	519	7	,	,	PUNCT
ejpam-5822	519	8	k	k	PROPN
ejpam-5822	519	9	j](s2	j](s2	PROPN
ejpam-5822	519	10	−s1	−s1	NOUN
ejpam-5822	519	11	)	)	PUNCT
ejpam-5822	519	12	)	)	PUNCT
ejpam-5822	519	13	−s2	−s2	PROPN
ejpam-5822	519	14	1s2	1s2	NUM
ejpam-5822	520	1	+	+	ADJ
ejpam-5822	520	2	s1s2	s1s2	PROPN
ejpam-5822	520	3	2	2	NUM
ejpam-5822	520	4	+	+	NOUN
ejpam-5822	520	5	s2	s2	X
ejpam-5822	520	6	1s3	1s3	NUM
ejpam-5822	520	7	−s2	−s2	NOUN
ejpam-5822	520	8	2s3	2s3	NUM
ejpam-5822	521	1	−s1s2	−s1s2	PROPN
ejpam-5822	521	2	3	3	NUM
ejpam-5822	521	3	+	+	NOUN
ejpam-5822	521	4	s2s2	s2s2	NOUN
ejpam-5822	521	5	3	3	NUM
ejpam-5822	521	6	,	,	PUNCT
ejpam-5822	521	7	b3	b3	NOUN
ejpam-5822	521	8	=	=	SYM
ejpam-5822	521	9	(	(	PUNCT
ejpam-5822	521	10	g[y	g[y	PROPN
ejpam-5822	521	11	j	j	PROPN
ejpam-5822	521	12	,	,	PUNCT
ejpam-5822	521	13	k	k	PROPN
ejpam-5822	521	14	j	j	PROPN
ejpam-5822	521	15	,	,	PUNCT
ejpam-5822	521	16	k	k	PROPN
ejpam-5822	521	17	j](s2	j](s2	PROPN
ejpam-5822	521	18	2	2	NUM
ejpam-5822	521	19	−s2	−s2	PROPN
ejpam-5822	521	20	3)+g[z	3)+g[z	NUM
ejpam-5822	521	21	j	j	PROPN
ejpam-5822	521	22	,	,	PUNCT
ejpam-5822	521	23	k	k	PROPN
ejpam-5822	521	24	j	j	PROPN
ejpam-5822	521	25	,	,	PUNCT
ejpam-5822	521	26	k	k	PROPN
ejpam-5822	521	27	j](s2	j](s2	PROPN
ejpam-5822	521	28	3	3	NUM
ejpam-5822	521	29	−s2	−s2	PROPN
ejpam-5822	521	30	1)+g[w	1)+g[w	PROPN
ejpam-5822	521	31	j	j	PROPN
ejpam-5822	521	32	,	,	PUNCT
ejpam-5822	521	33	k	k	PROPN
ejpam-5822	521	34	j	j	PROPN
ejpam-5822	521	35	,	,	PUNCT
ejpam-5822	521	36	k	k	PROPN
ejpam-5822	521	37	j](s2	j](s2	PROPN
ejpam-5822	521	38	1	1	NUM
ejpam-5822	521	39	−s2	−s2	PROPN
ejpam-5822	521	40	2	2	NUM
ejpam-5822	521	41	)	)	PUNCT
ejpam-5822	521	42	)	)	PUNCT
ejpam-5822	522	1	−s2s2	−s2s2	PROPN
ejpam-5822	522	2	1	1	NUM
ejpam-5822	522	3	+	+	NOUN
ejpam-5822	522	4	s2	s2	VERB
ejpam-5822	522	5	2s1	2s1	NUM
ejpam-5822	522	6	−s3s2	−s3s2	NOUN
ejpam-5822	522	7	2	2	NUM
ejpam-5822	522	8	−s2	−s2	NOUN
ejpam-5822	522	9	3s1	3s1	NUM
ejpam-5822	522	10	+	+	ADJ
ejpam-5822	522	11	s3s2	s3s2	PROPN
ejpam-5822	522	12	1	1	NUM
ejpam-5822	522	13	+	+	NOUN
ejpam-5822	522	14	s2	s2	NOUN
ejpam-5822	522	15	3s2	3s2	NUM
ejpam-5822	522	16	,	,	PUNCT
ejpam-5822	522	17	b2	b2	NOUN
ejpam-5822	522	18	=	=	SYM
ejpam-5822	522	19	(	(	PUNCT
ejpam-5822	522	20	g[y	g[y	PROPN
ejpam-5822	522	21	j	j	PROPN
ejpam-5822	522	22	,	,	PUNCT
ejpam-5822	522	23	k	k	PROPN
ejpam-5822	522	24	j	j	PROPN
ejpam-5822	522	25	,	,	PUNCT
ejpam-5822	522	26	k	k	PROPN
ejpam-5822	522	27	j](−s2	j](−s2	VERB
ejpam-5822	522	28	2s3	2s3	PUNCT
ejpam-5822	523	1	+	+	ADJ
ejpam-5822	523	2	s2s2	s2s2	PROPN
ejpam-5822	523	3	3)+g[z	3)+g[z	PROPN
ejpam-5822	523	4	j	j	PROPN
ejpam-5822	523	5	,	,	PUNCT
ejpam-5822	523	6	k	k	PROPN
ejpam-5822	523	7	j	j	PROPN
ejpam-5822	523	8	,	,	PUNCT
ejpam-5822	523	9	k	k	PROPN
ejpam-5822	523	10	j](−s2	j](−s2	VERB
ejpam-5822	523	11	1s3	1s3	NUM
ejpam-5822	524	1	+	+	ADJ
ejpam-5822	524	2	s1s2	s1s2	PROPN
ejpam-5822	524	3	3	3	NUM
ejpam-5822	524	4	)	)	PUNCT
ejpam-5822	524	5	+	+	NOUN
ejpam-5822	524	6	g[w	g[w	PROPN
ejpam-5822	524	7	j	j	PROPN
ejpam-5822	524	8	,	,	PUNCT
ejpam-5822	524	9	k	k	PROPN
ejpam-5822	524	10	j	j	PROPN
ejpam-5822	524	11	,	,	PUNCT
ejpam-5822	524	12	k	k	PROPN
ejpam-5822	524	13	j](−s2	j](−s2	VERB
ejpam-5822	524	14	1s2	1s2	NUM
ejpam-5822	525	1	+	+	ADJ
ejpam-5822	525	2	s1s2	s1s2	PROPN
ejpam-5822	525	3	2	2	NUM
ejpam-5822	525	4	)	)	PUNCT
ejpam-5822	525	5	)	)	PUNCT
ejpam-5822	526	1	−s2	−s2	PROPN
ejpam-5822	526	2	1s2	1s2	NUM
ejpam-5822	527	1	+	+	ADJ
ejpam-5822	527	2	s1s2	s1s2	PROPN
ejpam-5822	527	3	2	2	NUM
ejpam-5822	527	4	+	+	NOUN
ejpam-5822	527	5	s2	s2	X
ejpam-5822	527	6	1s3	1s3	NUM
ejpam-5822	527	7	−s2	−s2	NOUN
ejpam-5822	527	8	2s3	2s3	NUM
ejpam-5822	528	1	−s1s2	−s1s2	PROPN
ejpam-5822	528	2	3	3	NUM
ejpam-5822	528	3	+	+	NOUN
ejpam-5822	528	4	s2s2	s2s2	NOUN
ejpam-5822	528	5	3	3	NUM
ejpam-5822	528	6	,	,	PUNCT
ejpam-5822	528	7	s1	s1	NOUN
ejpam-5822	528	8	=	=	PUNCT
ejpam-5822	528	9	y	y	PROPN
ejpam-5822	528	10	j	j	PROPN
ejpam-5822	529	1	−	−	PROPN
ejpam-5822	529	2	k	k	PROPN
ejpam-5822	529	3	j	j	PROPN
ejpam-5822	529	4	,	,	PUNCT
ejpam-5822	529	5	s2	s2	X
ejpam-5822	529	6	=	=	PUNCT
ejpam-5822	529	7	z	z	PART
ejpam-5822	529	8	j	j	PROPN
ejpam-5822	530	1	−	−	PROPN
ejpam-5822	530	2	k	k	PROPN
ejpam-5822	530	3	j	j	PROPN
ejpam-5822	530	4	,	,	PUNCT
ejpam-5822	530	5	s3	s3	PROPN
ejpam-5822	530	6	=	=	PROPN
ejpam-5822	530	7	w	w	PROPN
ejpam-5822	530	8	j	j	PROPN
ejpam-5822	530	9	−	−	PROPN
ejpam-5822	531	1	k	k	PROPN
ejpam-5822	531	2	j.	j.	PROPN
ejpam-5822	531	3	we	we	PRON
ejpam-5822	531	4	have	have	AUX
ejpam-5822	531	5	taken	take	VERB
ejpam-5822	531	6	another	another	DET
ejpam-5822	531	7	method	method	NOUN
ejpam-5822	531	8	developed	develop	VERB
ejpam-5822	531	9	by	by	ADP
ejpam-5822	531	10	nusrat	nusrat	PROPN
ejpam-5822	531	11	et	et	PROPN
ejpam-5822	531	12	al	al	PROPN
ejpam-5822	531	13	.	.	PUNCT
ejpam-5822	532	1	[	[	X
ejpam-5822	532	2	29	29	NUM
ejpam-5822	532	3	]	]	PUNCT
ejpam-5822	532	4	for	for	ADP
ejpam-5822	532	5	comparison	comparison	NOUN
ejpam-5822	532	6	,	,	PUNCT
ejpam-5822	532	7	which	which	PRON
ejpam-5822	532	8	constructs	construct	VERB
ejpam-5822	532	9	optimal	optimal	ADJ
ejpam-5822	532	10	sixteenth	sixteenth	ADJ
ejpam-5822	532	11	-	-	PUNCT
ejpam-5822	532	12	order	order	NOUN
ejpam-5822	532	13	derivative	derivative	ADJ
ejpam-5822	532	14	-	-	PUNCT
ejpam-5822	532	15	free	free	ADJ
ejpam-5822	532	16	root	root	NOUN
ejpam-5822	532	17	-	-	PUNCT
ejpam-5822	532	18	finding	find	VERB
ejpam-5822	532	19	methods	method	NOUN
ejpam-5822	532	20	based	base	VERB
ejpam-5822	532	21	on	on	ADP
ejpam-5822	532	22	hermite	hermite	ADJ
ejpam-5822	532	23	interpolation	interpolation	NOUN
ejpam-5822	532	24	,	,	PUNCT
ejpam-5822	532	25	referred	refer	VERB
ejpam-5822	532	26	to	to	ADP
ejpam-5822	532	27	as	as	ADP
ejpam-5822	532	28	cm-4	cm-4	NOUN
ejpam-5822	532	29	.	.	PUNCT
ejpam-5822	533	1	y	y	PROPN
ejpam-5822	533	2	j	j	PROPN
ejpam-5822	533	3	=	=	SYM
ejpam-5822	533	4	k	k	PROPN
ejpam-5822	533	5	j	j	PROPN
ejpam-5822	533	6	−	−	PROPN
ejpam-5822	533	7	g(k	g(k	PROPN
ejpam-5822	533	8	j	j	PROPN
ejpam-5822	533	9	)	)	PUNCT
ejpam-5822	533	10	g[w	g[w	PROPN
ejpam-5822	534	1	j	j	PROPN
ejpam-5822	534	2	,	,	PUNCT
ejpam-5822	534	3	k	k	PROPN
ejpam-5822	534	4	j	j	X
ejpam-5822	534	5	]	]	X
ejpam-5822	534	6	,	,	PUNCT
ejpam-5822	534	7	w	w	PROPN
ejpam-5822	534	8	j	j	PROPN
ejpam-5822	534	9	=	=	SYM
ejpam-5822	535	1	k	k	PROPN
ejpam-5822	535	2	j	j	PROPN
ejpam-5822	536	1	+	+	PROPN
ejpam-5822	536	2	g(k	g(k	PROPN
ejpam-5822	536	3	j	j	NOUN
ejpam-5822	536	4	)	)	PUNCT
ejpam-5822	536	5	4	4	NUM
ejpam-5822	536	6	,	,	PUNCT
ejpam-5822	536	7	j	j	PROPN
ejpam-5822	536	8	≥	≥	NUM
ejpam-5822	536	9	0	0	NUM
ejpam-5822	536	10	,	,	PUNCT
ejpam-5822	536	11	z	z	NOUN
ejpam-5822	536	12	j	j	X
ejpam-5822	536	13	=	=	PUNCT
ejpam-5822	536	14	y	y	PROPN
ejpam-5822	536	15	j	j	PROPN
ejpam-5822	536	16	−	−	PROPN
ejpam-5822	536	17	g(y	g(y	PROPN
ejpam-5822	536	18	j	j	PROPN
ejpam-5822	536	19	)	)	PUNCT
ejpam-5822	536	20	2g[y	2g[y	NUM
ejpam-5822	536	21	j	j	PROPN
ejpam-5822	536	22	,	,	PUNCT
ejpam-5822	536	23	k	k	PROPN
ejpam-5822	536	24	j]−g[w	j]−g[w	PROPN
ejpam-5822	536	25	j	j	PROPN
ejpam-5822	536	26	,	,	PUNCT
ejpam-5822	536	27	k	k	PROPN
ejpam-5822	536	28	j	j	X
ejpam-5822	536	29	]	]	X
ejpam-5822	536	30	,	,	PUNCT
ejpam-5822	536	31	t	t	PROPN
ejpam-5822	536	32	j	j	PROPN
ejpam-5822	537	1	=	=	SYM
ejpam-5822	537	2	z	z	PROPN
ejpam-5822	537	3	j	j	PROPN
ejpam-5822	538	1	−	−	PROPN
ejpam-5822	538	2	g(z	g(z	PROPN
ejpam-5822	538	3	j	j	PROPN
ejpam-5822	538	4	)	)	PUNCT
ejpam-5822	538	5	k′	k′	PROPN
ejpam-5822	538	6	3(z	3(z	NUM
ejpam-5822	538	7	j	j	NOUN
ejpam-5822	538	8	)	)	PUNCT
ejpam-5822	538	9	,	,	PUNCT
ejpam-5822	539	1	k	k	X
ejpam-5822	539	2	j+1	j+1	X
ejpam-5822	539	3	=	=	PUNCT
ejpam-5822	539	4	t	t	PROPN
ejpam-5822	539	5	j	j	PROPN
ejpam-5822	539	6	−	−	PROPN
ejpam-5822	539	7	g(t	g(t	PROPN
ejpam-5822	539	8	j	j	PROPN
ejpam-5822	539	9	)	)	PUNCT
ejpam-5822	539	10	k′	k′	PROPN
ejpam-5822	539	11	4(t	4(t	NUM
ejpam-5822	539	12	j	j	NOUN
ejpam-5822	539	13	)	)	PUNCT
ejpam-5822	539	14	,	,	PUNCT
ejpam-5822	539	15	where	where	SCONJ
ejpam-5822	539	16	k′	k′	PROPN
ejpam-5822	539	17	3(z	3(z	NUM
ejpam-5822	539	18	)	)	PUNCT
ejpam-5822	539	19	=	=	SYM
ejpam-5822	539	20	g[z	g[z	PROPN
ejpam-5822	539	21	,	,	PUNCT
ejpam-5822	539	22	k	k	X
ejpam-5822	539	23	]	]	X
ejpam-5822	539	24	(	(	PUNCT
ejpam-5822	539	25	2	2	NUM
ejpam-5822	539	26	+	+	NUM
ejpam-5822	540	1	z−	z−	ADJ
ejpam-5822	540	2	k	k	PROPN
ejpam-5822	540	3	z−	z−	PROPN
ejpam-5822	540	4	y	y	PROPN
ejpam-5822	540	5	)	)	PUNCT
ejpam-5822	540	6	−	−	PROPN
ejpam-5822	541	1	(	(	PUNCT
ejpam-5822	541	2	z−	z−	PROPN
ejpam-5822	541	3	k)2	k)2	PROPN
ejpam-5822	541	4	(	(	PUNCT
ejpam-5822	541	5	y−	y−	X
ejpam-5822	541	6	k)(z−	k)(z−	PROPN
ejpam-5822	541	7	y	y	PROPN
ejpam-5822	541	8	)	)	PUNCT
ejpam-5822	541	9	g[y	g[y	NOUN
ejpam-5822	541	10	,	,	PUNCT
ejpam-5822	541	11	k]+g[w	k]+g[w	PROPN
ejpam-5822	541	12	,	,	PUNCT
ejpam-5822	541	13	k	k	X
ejpam-5822	541	14	]	]	X
ejpam-5822	541	15	z−	z−	PROPN
ejpam-5822	541	16	y	y	PROPN
ejpam-5822	541	17	y−	y−	PROPN
ejpam-5822	541	18	k	k	PROPN
ejpam-5822	541	19	,	,	PUNCT
ejpam-5822	541	20	k′	k′	PROPN
ejpam-5822	541	21	4(t	4(t	NUM
ejpam-5822	541	22	)	)	PUNCT
ejpam-5822	541	23	=	=	SYM
ejpam-5822	541	24	g[t	g[t	NOUN
ejpam-5822	541	25	,	,	PUNCT
ejpam-5822	541	26	z]+	z]+	NUM
ejpam-5822	541	27	(	(	PUNCT
ejpam-5822	541	28	t	t	NOUN
ejpam-5822	541	29	−	−	PROPN
ejpam-5822	541	30	z)g[t	z)g[t	NOUN
ejpam-5822	541	31	,	,	PUNCT
ejpam-5822	541	32	z	z	PROPN
ejpam-5822	541	33	,	,	PUNCT
ejpam-5822	541	34	y]+	y]+	PROPN
ejpam-5822	541	35	(	(	PUNCT
ejpam-5822	541	36	t	t	NOUN
ejpam-5822	541	37	−	−	PROPN
ejpam-5822	541	38	z)(t	z)(t	PROPN
ejpam-5822	541	39	−	−	ADP
ejpam-5822	541	40	y)g[t	y)g[t	PROPN
ejpam-5822	541	41	,	,	PUNCT
ejpam-5822	541	42	z	z	PROPN
ejpam-5822	541	43	,	,	PUNCT
ejpam-5822	541	44	y	y	PROPN
ejpam-5822	541	45	,	,	PUNCT
ejpam-5822	541	46	k	k	X
ejpam-5822	541	47	]	]	X
ejpam-5822	541	48	+	+	PROPN
ejpam-5822	541	49	(	(	PUNCT
ejpam-5822	541	50	t	t	PROPN
ejpam-5822	541	51	−	−	PROPN
ejpam-5822	541	52	z)(t	z)(t	PROPN
ejpam-5822	541	53	−	−	PROPN
ejpam-5822	541	54	y)(t	y)(t	SYM
ejpam-5822	541	55	−	−	PROPN
ejpam-5822	541	56	k)g[t	k)g[t	NOUN
ejpam-5822	541	57	,	,	PUNCT
ejpam-5822	541	58	z	z	PROPN
ejpam-5822	541	59	,	,	PUNCT
ejpam-5822	541	60	y	y	PROPN
ejpam-5822	541	61	,	,	PUNCT
ejpam-5822	541	62	k,2	k,2	PROPN
ejpam-5822	541	63	]	]	PUNCT
ejpam-5822	541	64	,	,	PUNCT
ejpam-5822	541	65	g[t	g[t	NOUN
ejpam-5822	541	66	,	,	PUNCT
ejpam-5822	541	67	z	z	PROPN
ejpam-5822	541	68	,	,	PUNCT
ejpam-5822	541	69	y	y	PROPN
ejpam-5822	541	70	,	,	PUNCT
ejpam-5822	541	71	k,2	k,2	X
ejpam-5822	541	72	]	]	PUNCT
ejpam-5822	541	73	=	=	SYM
ejpam-5822	541	74	1	1	NUM
ejpam-5822	541	75	(	(	PUNCT
ejpam-5822	541	76	t	t	NOUN
ejpam-5822	541	77	−	−	PROPN
ejpam-5822	541	78	k)2(t	k)2(t	PROPN
ejpam-5822	541	79	−	−	PROPN
ejpam-5822	541	80	y	y	PROPN
ejpam-5822	541	81	)	)	PUNCT
ejpam-5822	541	82	(	(	PUNCT
ejpam-5822	541	83	g[t	g[t	NOUN
ejpam-5822	541	84	,	,	PUNCT
ejpam-5822	541	85	z]−g[z	z]−g[z	PROPN
ejpam-5822	541	86	,	,	PUNCT
ejpam-5822	541	87	y	y	PROPN
ejpam-5822	541	88	]	]	PUNCT
ejpam-5822	541	89	)	)	PUNCT
ejpam-5822	541	90	−	−	PROPN
ejpam-5822	542	1	1	1	NUM
ejpam-5822	542	2	(	(	PUNCT
ejpam-5822	542	3	t	t	NOUN
ejpam-5822	542	4	−	−	PROPN
ejpam-5822	543	1	k)2(z−	k)2(z−	NOUN
ejpam-5822	543	2	k	k	PROPN
ejpam-5822	543	3	)	)	PUNCT
ejpam-5822	543	4	(	(	PUNCT
ejpam-5822	543	5	g[z	g[z	PROPN
ejpam-5822	543	6	,	,	PUNCT
ejpam-5822	543	7	y]−g[y	y]−g[y	PROPN
ejpam-5822	543	8	,	,	PUNCT
ejpam-5822	543	9	k	k	X
ejpam-5822	543	10	]	]	PUNCT
ejpam-5822	543	11	)	)	PUNCT
ejpam-5822	544	1	−	−	PROPN
ejpam-5822	544	2	1	1	NUM
ejpam-5822	544	3	(	(	PUNCT
ejpam-5822	544	4	t	t	PROPN
ejpam-5822	544	5	−	−	PROPN
ejpam-5822	544	6	k)(z−	k)(z−	PROPN
ejpam-5822	544	7	k)2	k)2	PROPN
ejpam-5822	544	8	(	(	PUNCT
ejpam-5822	544	9	g[y	g[y	NOUN
ejpam-5822	544	10	,	,	PUNCT
ejpam-5822	544	11	k]−g[w	k]−g[w	PROPN
ejpam-5822	544	12	,	,	PUNCT
ejpam-5822	544	13	k	k	X
ejpam-5822	544	14	]	]	PUNCT
ejpam-5822	544	15	)	)	PUNCT
ejpam-5822	545	1	+	+	CCONJ
ejpam-5822	545	2	1	1	NUM
ejpam-5822	545	3	(	(	PUNCT
ejpam-5822	545	4	t	t	PROPN
ejpam-5822	545	5	−	−	PROPN
ejpam-5822	545	6	k)(z−	k)(z−	PROPN
ejpam-5822	545	7	k)(y−	k)(y−	PROPN
ejpam-5822	545	8	k	k	PROPN
ejpam-5822	545	9	)	)	PUNCT
ejpam-5822	545	10	(	(	PUNCT
ejpam-5822	545	11	g[y	g[y	NOUN
ejpam-5822	545	12	,	,	PUNCT
ejpam-5822	545	13	k]−g[w	k]−g[w	PROPN
ejpam-5822	545	14	,	,	PUNCT
ejpam-5822	545	15	k	k	X
ejpam-5822	545	16	]	]	PUNCT
ejpam-5822	545	17	)	)	PUNCT
ejpam-5822	545	18	.	.	PUNCT
ejpam-5822	546	1	we	we	PRON
ejpam-5822	546	2	adopt	adopt	VERB
ejpam-5822	546	3	the	the	DET
ejpam-5822	546	4	approach	approach	NOUN
ejpam-5822	546	5	proposed	propose	VERB
ejpam-5822	546	6	by	by	ADP
ejpam-5822	546	7	soleymani	soleymani	PROPN
ejpam-5822	546	8	et	et	PROPN
ejpam-5822	546	9	al	al	PROPN
ejpam-5822	546	10	.	.	PUNCT
ejpam-5822	547	1	[	[	X
ejpam-5822	547	2	30	30	NUM
ejpam-5822	547	3	]	]	PUNCT
ejpam-5822	547	4	,	,	PUNCT
ejpam-5822	547	5	which	which	PRON
ejpam-5822	547	6	constructs	construct	VERB
ejpam-5822	547	7	an	an	DET
ejpam-5822	547	8	optimal	optimal	ADJ
ejpam-5822	547	9	16thorder	16thorder	NUM
ejpam-5822	547	10	iterative	iterative	NOUN
ejpam-5822	547	11	class	class	NOUN
ejpam-5822	547	12	for	for	ADP
ejpam-5822	547	13	approximating	approximate	VERB
ejpam-5822	547	14	simple	simple	ADJ
ejpam-5822	547	15	zeros	zero	NOUN
ejpam-5822	547	16	of	of	ADP
ejpam-5822	547	17	nonlinear	nonlinear	ADJ
ejpam-5822	547	18	equations	equation	NOUN
ejpam-5822	547	19	,	,	PUNCT
ejpam-5822	547	20	referred	refer	VERB
ejpam-5822	547	21	to	to	ADP
ejpam-5822	547	22	as	as	SCONJ
ejpam-5822	547	23	cm-5	cm-5	NOUN
ejpam-5822	547	24	is	be	AUX
ejpam-5822	547	25	given	give	VERB
ejpam-5822	547	26	as	as	ADP
ejpam-5822	547	27	:	:	PUNCT
ejpam-5822	547	28	y	y	PROPN
ejpam-5822	547	29	j	j	PROPN
ejpam-5822	547	30	=	=	SYM
ejpam-5822	547	31	k	k	PROPN
ejpam-5822	547	32	j	j	PROPN
ejpam-5822	548	1	−	−	PROPN
ejpam-5822	548	2	g(k	g(k	PROPN
ejpam-5822	548	3	j	j	PROPN
ejpam-5822	548	4	)	)	PUNCT
ejpam-5822	548	5	g′(k	g′(k	PROPN
ejpam-5822	548	6	j	j	PROPN
ejpam-5822	548	7	)	)	PUNCT
ejpam-5822	548	8	,	,	PUNCT
ejpam-5822	548	9	s.	s.	PROPN
ejpam-5822	548	10	akram	akram	PROPN
ejpam-5822	548	11	et	et	PROPN
ejpam-5822	548	12	al	al	PROPN
ejpam-5822	548	13	.	.	PUNCT
ejpam-5822	548	14	/	/	SYM
ejpam-5822	548	15	eur	eur	PROPN
ejpam-5822	548	16	.	.	PUNCT
ejpam-5822	549	1	j.	j.	PROPN
ejpam-5822	549	2	pure	pure	PROPN
ejpam-5822	549	3	appl	appl	PROPN
ejpam-5822	549	4	.	.	PROPN
ejpam-5822	549	5	math	math	PROPN
ejpam-5822	549	6	,	,	PUNCT
ejpam-5822	549	7	18	18	NUM
ejpam-5822	549	8	(	(	PUNCT
ejpam-5822	549	9	2	2	NUM
ejpam-5822	549	10	)	)	PUNCT
ejpam-5822	549	11	(	(	PUNCT
ejpam-5822	549	12	2025	2025	NUM
ejpam-5822	549	13	)	)	PUNCT
ejpam-5822	549	14	,	,	PUNCT
ejpam-5822	550	1	5822	5822	NUM
ejpam-5822	550	2	14	14	NUM
ejpam-5822	550	3	of	of	ADP
ejpam-5822	550	4	26	26	NUM
ejpam-5822	550	5	z	z	NOUN
ejpam-5822	550	6	j	j	NOUN
ejpam-5822	550	7	=	=	SYM
ejpam-5822	550	8	y	y	PROPN
ejpam-5822	550	9	j	j	PROPN
ejpam-5822	550	10	−	−	PROPN
ejpam-5822	550	11	g(y	g(y	PROPN
ejpam-5822	550	12	j	j	PROPN
ejpam-5822	550	13	)	)	PUNCT
ejpam-5822	550	14	g(k	g(k	PROPN
ejpam-5822	550	15	j)−2g(y	j)−2g(y	PROPN
ejpam-5822	550	16	j	j	PROPN
ejpam-5822	550	17	)	)	PUNCT
ejpam-5822	550	18	g(k	g(k	PROPN
ejpam-5822	550	19	j	j	NOUN
ejpam-5822	550	20	)	)	PUNCT
ejpam-5822	550	21	g′(k	g′(k	PROPN
ejpam-5822	550	22	j	j	PROPN
ejpam-5822	550	23	)	)	PUNCT
ejpam-5822	550	24	,	,	PUNCT
ejpam-5822	550	25	,	,	PUNCT
ejpam-5822	550	26	w	w	PROPN
ejpam-5822	550	27	j	j	PROPN
ejpam-5822	550	28	=	=	PUNCT
ejpam-5822	550	29	z	z	PROPN
ejpam-5822	550	30	j	j	PROPN
ejpam-5822	551	1	−	−	PROPN
ejpam-5822	551	2	[	[	PUNCT
ejpam-5822	551	3	1	1	NUM
ejpam-5822	551	4	+	+	NUM
ejpam-5822	551	5	g(z	g(z	PROPN
ejpam-5822	551	6	j	j	PROPN
ejpam-5822	551	7	)	)	PUNCT
ejpam-5822	551	8	g(k	g(k	PROPN
ejpam-5822	551	9	j	j	NOUN
ejpam-5822	551	10	)	)	PUNCT
ejpam-5822	551	11	]	]	PUNCT
ejpam-5822	552	1	g[k	g[k	PROPN
ejpam-5822	552	2	j	j	PROPN
ejpam-5822	552	3	,	,	PUNCT
ejpam-5822	552	4	y	y	PROPN
ejpam-5822	552	5	j]g(z	j]g(z	PROPN
ejpam-5822	552	6	j	j	PROPN
ejpam-5822	552	7	)	)	PUNCT
ejpam-5822	552	8	g[k	g[k	PROPN
ejpam-5822	552	9	j	j	PROPN
ejpam-5822	552	10	,	,	PUNCT
ejpam-5822	552	11	z	z	PROPN
ejpam-5822	552	12	j]g[y	j]g[y	PROPN
ejpam-5822	552	13	j	j	PROPN
ejpam-5822	552	14	,	,	PUNCT
ejpam-5822	552	15	z	z	PROPN
ejpam-5822	552	16	j	j	X
ejpam-5822	552	17	]	]	X
ejpam-5822	552	18	,	,	PUNCT
ejpam-5822	552	19	k	k	X
ejpam-5822	552	20	j+1	j+1	X
ejpam-5822	552	21	=	=	PUNCT
ejpam-5822	552	22	w	w	PROPN
ejpam-5822	552	23	j	j	PROPN
ejpam-5822	552	24	−	−	PROPN
ejpam-5822	552	25	(	(	PUNCT
ejpam-5822	552	26	1+b5(w	1+b5(w	NUM
ejpam-5822	552	27	j	j	NOUN
ejpam-5822	552	28	−	−	PROPN
ejpam-5822	552	29	k	k	PROPN
ejpam-5822	552	30	j	j	PROPN
ejpam-5822	552	31	)	)	PUNCT
ejpam-5822	552	32	)	)	PUNCT
ejpam-5822	553	1	2g(w	2g(w	PROPN
ejpam-5822	553	2	j	j	PROPN
ejpam-5822	553	3	)	)	PUNCT
ejpam-5822	554	1	g′(k	g′(k	PROPN
ejpam-5822	554	2	j)+2b3(w	j)+2b3(w	PROPN
ejpam-5822	554	3	j	j	PROPN
ejpam-5822	555	1	−	−	PROPN
ejpam-5822	555	2	k	k	PROPN
ejpam-5822	555	3	j)+(3b4	j)+(3b4	VERB
ejpam-5822	555	4	+	+	SCONJ
ejpam-5822	555	5	b3b5)(w	b3b5)(w	PROPN
ejpam-5822	555	6	j	j	NOUN
ejpam-5822	555	7	−	−	NOUN
ejpam-5822	556	1	k	k	PROPN
ejpam-5822	557	1	j)2	j)2	PROPN
ejpam-5822	558	1	+2b4b5(w	+2b4b5(w	PROPN
ejpam-5822	558	2	j	j	PROPN
ejpam-5822	559	1	−	−	PROPN
ejpam-5822	559	2	k	k	PROPN
ejpam-5822	559	3	j)3	j)3	PROPN
ejpam-5822	559	4	,	,	PUNCT
ejpam-5822	559	5	(	(	PUNCT
ejpam-5822	559	6	42	42	NUM
ejpam-5822	559	7	)	)	PUNCT
ejpam-5822	559	8	where	where	SCONJ
ejpam-5822	559	9	b5	b5	PROPN
ejpam-5822	559	10	=	=	SYM
ejpam-5822	559	11	g[z	g[z	PROPN
ejpam-5822	559	12	,	,	PUNCT
ejpam-5822	559	13	k]wy	k]wy	X
ejpam-5822	559	14	(	(	PUNCT
ejpam-5822	559	15	w−	w−	PROPN
ejpam-5822	559	16	y)+z(g[w	y)+z(g[w	PROPN
ejpam-5822	559	17	,	,	PUNCT
ejpam-5822	559	18	k](y−	k](y−	PROPN
ejpam-5822	559	19	z)y	z)y	PUNCT
ejpam-5822	559	20	+	+	NOUN
ejpam-5822	559	21	g[y	g[y	NOUN
ejpam-5822	559	22	,	,	PUNCT
ejpam-5822	559	23	k](z−w)w	k](z−w)w	NOUN
ejpam-5822	559	24	)	)	PUNCT
ejpam-5822	559	25	−	−	PROPN
ejpam-5822	559	26	(	(	PUNCT
ejpam-5822	559	27	w−	w−	PROPN
ejpam-5822	559	28	y)(w−	y)(w−	PROPN
ejpam-5822	559	29	z)(y−	z)(y−	PROPN
ejpam-5822	559	30	z)g′(k	z)g′(k	PROPN
ejpam-5822	559	31	)	)	PUNCT
ejpam-5822	559	32	(	(	PUNCT
ejpam-5822	559	33	y	y	PROPN
ejpam-5822	559	34	z(z−	z(z−	PROPN
ejpam-5822	559	35	y)g(w)+(w−	y)g(w)+(w−	PUNCT
ejpam-5822	559	36	z)((w−	z)((w−	ADJ
ejpam-5822	559	37	y)(y−	y)(y−	PROPN
ejpam-5822	559	38	z)g(k)+wzg(y))+wy	z)g(k)+wzg(y))+wy	PROPN
ejpam-5822	559	39	(	(	PUNCT
ejpam-5822	559	40	y−w)g(z	y−w)g(z	PROPN
ejpam-5822	559	41	)	)	PUNCT
ejpam-5822	559	42	)	)	PUNCT
ejpam-5822	559	43	,	,	PUNCT
ejpam-5822	559	44	b2	b2	NOUN
ejpam-5822	559	45	=	=	PUNCT
ejpam-5822	559	46	g′(k)+g(k)b5	g′(k)+g(k)b5	PROPN
ejpam-5822	559	47	,	,	PUNCT
ejpam-5822	559	48	b4	b4	NOUN
ejpam-5822	559	49	=	=	SYM
ejpam-5822	559	50	(	(	PUNCT
ejpam-5822	559	51	z−	z−	PROPN
ejpam-5822	559	52	k)g[y	k)g[y	X
ejpam-5822	559	53	,	,	PUNCT
ejpam-5822	559	54	k]+	k]+	PROPN
ejpam-5822	559	55	(	(	PUNCT
ejpam-5822	559	56	k−	k−	PROPN
ejpam-5822	559	57	y)g[z	y)g[z	PROPN
ejpam-5822	559	58	,	,	PUNCT
ejpam-5822	559	59	k]+	k]+	PROPN
ejpam-5822	559	60	(	(	PUNCT
ejpam-5822	559	61	y−	y−	NOUN
ejpam-5822	559	62	z)b2	z)b2	PROPN
ejpam-5822	559	63	+	+	PROPN
ejpam-5822	559	64	(	(	PUNCT
ejpam-5822	559	65	(	(	PUNCT
ejpam-5822	559	66	z−	z−	X
ejpam-5822	559	67	k)g(y)+(k−	k)g(y)+(k−	X
ejpam-5822	559	68	y)g(z))b5	y)g(z))b5	PROPN
ejpam-5822	559	69	(	(	PUNCT
ejpam-5822	559	70	k−	k−	PROPN
ejpam-5822	559	71	z)(k−	z)(k−	PROPN
ejpam-5822	559	72	y)(y−	y)(y−	PROPN
ejpam-5822	559	73	z	z	NOUN
ejpam-5822	559	74	)	)	PUNCT
ejpam-5822	559	75	,	,	PUNCT
ejpam-5822	559	76	b3	b3	PROPN
ejpam-5822	559	77	=	=	SYM
ejpam-5822	559	78	g[w	g[w	PROPN
ejpam-5822	559	79	,	,	PUNCT
ejpam-5822	559	80	z	z	PROPN
ejpam-5822	559	81	,	,	PUNCT
ejpam-5822	559	82	k]+g[w	k]+g[w	PROPN
ejpam-5822	559	83	,	,	PUNCT
ejpam-5822	559	84	k]b5	k]b5	PROPN
ejpam-5822	559	85	−	−	PROPN
ejpam-5822	559	86	(	(	PUNCT
ejpam-5822	559	87	w−	w−	PROPN
ejpam-5822	559	88	k)b4	k)b4	PROPN
ejpam-5822	559	89	,	,	PUNCT
ejpam-5822	559	90	(	(	PUNCT
ejpam-5822	559	91	43	43	NUM
ejpam-5822	559	92	)	)	PUNCT
ejpam-5822	559	93	wherein	wherein	SCONJ
ejpam-5822	559	94	y−	y−	X
ejpam-5822	559	95	k	k	PROPN
ejpam-5822	559	96	=	=	SYM
ejpam-5822	559	97	y	y	PROPN
ejpam-5822	559	98	,	,	PUNCT
ejpam-5822	559	99	z−	z−	PROPN
ejpam-5822	559	100	k	k	X
ejpam-5822	560	1	=	=	PUNCT
ejpam-5822	560	2	z	z	NOUN
ejpam-5822	560	3	,	,	PUNCT
ejpam-5822	560	4	and	and	CCONJ
ejpam-5822	560	5	w−	w−	X
ejpam-5822	560	6	k	k	X
ejpam-5822	561	1	=	=	NOUN
ejpam-5822	561	2	w	w	PROPN
ejpam-5822	561	3	.	.	PUNCT
ejpam-5822	562	1	now	now	ADV
ejpam-5822	562	2	,	,	PUNCT
ejpam-5822	562	3	our	our	PRON
ejpam-5822	562	4	focus	focus	NOUN
ejpam-5822	562	5	shifts	shift	NOUN
ejpam-5822	562	6	to	to	ADP
ejpam-5822	562	7	assessing	assess	VERB
ejpam-5822	562	8	the	the	DET
ejpam-5822	562	9	effectiveness	effectiveness	NOUN
ejpam-5822	562	10	of	of	ADP
ejpam-5822	562	11	the	the	DET
ejpam-5822	562	12	proposed	propose	VERB
ejpam-5822	562	13	schemes	scheme	NOUN
ejpam-5822	562	14	through	through	ADP
ejpam-5822	562	15	their	their	PRON
ejpam-5822	562	16	application	application	NOUN
ejpam-5822	562	17	to	to	ADP
ejpam-5822	562	18	various	various	ADJ
ejpam-5822	562	19	test	test	NOUN
ejpam-5822	562	20	functions	function	NOUN
ejpam-5822	562	21	and	and	CCONJ
ejpam-5822	562	22	real	real	ADJ
ejpam-5822	562	23	-	-	PUNCT
ejpam-5822	562	24	world	world	NOUN
ejpam-5822	562	25	problems	problem	NOUN
ejpam-5822	562	26	provided	provide	VERB
ejpam-5822	562	27	below	below	ADP
ejpam-5822	562	28	:	:	PUNCT
ejpam-5822	562	29	example	example	NOUN
ejpam-5822	562	30	1	1	NUM
ejpam-5822	562	31	.	.	PUNCT
ejpam-5822	562	32	perfectly	perfectly	ADV
ejpam-5822	562	33	mixed	mixed	ADJ
ejpam-5822	562	34	reactor	reactor	NOUN
ejpam-5822	562	35	consider	consider	VERB
ejpam-5822	562	36	a	a	DET
ejpam-5822	562	37	problem	problem	NOUN
ejpam-5822	562	38	involving	involve	VERB
ejpam-5822	562	39	a	a	DET
ejpam-5822	562	40	perfectly	perfectly	ADV
ejpam-5822	562	41	mixed	mixed	ADJ
ejpam-5822	562	42	reactor	reactor	NOUN
ejpam-5822	562	43	[	[	X
ejpam-5822	562	44	31	31	NUM
ejpam-5822	562	45	]	]	PUNCT
ejpam-5822	562	46	.	.	PUNCT
ejpam-5822	563	1	in	in	ADP
ejpam-5822	563	2	this	this	DET
ejpam-5822	563	3	reactor	reactor	NOUN
ejpam-5822	563	4	type	type	NOUN
ejpam-5822	563	5	,	,	PUNCT
ejpam-5822	563	6	the	the	DET
ejpam-5822	563	7	concentration	concentration	NOUN
ejpam-5822	563	8	within	within	ADP
ejpam-5822	563	9	the	the	DET
ejpam-5822	563	10	tank	tank	NOUN
ejpam-5822	563	11	equals	equal	VERB
ejpam-5822	563	12	the	the	DET
ejpam-5822	563	13	output	output	NOUN
ejpam-5822	563	14	concentration	concentration	NOUN
ejpam-5822	563	15	of	of	ADP
ejpam-5822	563	16	the	the	DET
ejpam-5822	563	17	reactor	reactor	NOUN
ejpam-5822	563	18	.	.	PUNCT
ejpam-5822	564	1	the	the	DET
ejpam-5822	564	2	objective	objective	NOUN
ejpam-5822	564	3	is	be	AUX
ejpam-5822	564	4	to	to	PART
ejpam-5822	564	5	determine	determine	VERB
ejpam-5822	564	6	the	the	DET
ejpam-5822	564	7	concentration	concentration	NOUN
ejpam-5822	564	8	of	of	ADP
ejpam-5822	564	9	a	a	DET
ejpam-5822	564	10	chemical	chemical	NOUN
ejpam-5822	564	11	within	within	ADP
ejpam-5822	564	12	a	a	DET
ejpam-5822	564	13	completely	completely	ADV
ejpam-5822	564	14	mixed	mixed	ADJ
ejpam-5822	564	15	reactor	reactor	NOUN
ejpam-5822	564	16	.	.	PUNCT
ejpam-5822	565	1	the	the	DET
ejpam-5822	565	2	objective	objective	NOUN
ejpam-5822	565	3	here	here	ADV
ejpam-5822	565	4	is	be	AUX
ejpam-5822	565	5	to	to	PART
ejpam-5822	565	6	ascertain	ascertain	VERB
ejpam-5822	565	7	the	the	DET
ejpam-5822	565	8	concentration	concentration	NOUN
ejpam-5822	565	9	of	of	ADP
ejpam-5822	565	10	a	a	DET
ejpam-5822	565	11	chemical	chemical	NOUN
ejpam-5822	565	12	within	within	ADP
ejpam-5822	565	13	a	a	DET
ejpam-5822	565	14	completely	completely	ADV
ejpam-5822	565	15	mixed	mixed	ADJ
ejpam-5822	565	16	reactor	reactor	NOUN
ejpam-5822	565	17	.	.	PUNCT
ejpam-5822	566	1	this	this	PRON
ejpam-5822	566	2	is	be	AUX
ejpam-5822	566	3	governed	govern	VERB
ejpam-5822	566	4	by	by	ADP
ejpam-5822	566	5	a	a	DET
ejpam-5822	566	6	differential	differential	ADJ
ejpam-5822	566	7	equation	equation	NOUN
ejpam-5822	566	8	:	:	PUNCT
ejpam-5822	566	9	dc	dc	PROPN
ejpam-5822	566	10	dk	dk	PROPN
ejpam-5822	566	11	=	=	PRON
ejpam-5822	566	12	(	(	PUNCT
ejpam-5822	566	13	cin	cin	PROPN
ejpam-5822	566	14	−	−	PROPN
ejpam-5822	566	15	c	c	NOUN
ejpam-5822	566	16	)	)	PUNCT
ejpam-5822	566	17	q	q	PROPN
ejpam-5822	566	18	f	f	PROPN
ejpam-5822	566	19	vr	vr	INTJ
ejpam-5822	566	20	.	.	PUNCT
ejpam-5822	567	1	(	(	PUNCT
ejpam-5822	567	2	44	44	NUM
ejpam-5822	567	3	)	)	PUNCT
ejpam-5822	567	4	here	here	ADV
ejpam-5822	567	5	the	the	DET
ejpam-5822	567	6	inflow	inflow	NOUN
ejpam-5822	567	7	chemical	chemical	NOUN
ejpam-5822	567	8	concentration	concentration	NOUN
ejpam-5822	567	9	is	be	AUX
ejpam-5822	567	10	represented	represent	VERB
ejpam-5822	567	11	by	by	ADP
ejpam-5822	567	12	cin	cin	PROPN
ejpam-5822	567	13	,	,	PUNCT
ejpam-5822	567	14	while	while	SCONJ
ejpam-5822	567	15	q	q	PROPN
ejpam-5822	567	16	f	f	PROPN
ejpam-5822	567	17	denotes	denote	VERB
ejpam-5822	567	18	the	the	DET
ejpam-5822	567	19	flow	flow	NOUN
ejpam-5822	567	20	rate	rate	NOUN
ejpam-5822	567	21	of	of	ADP
ejpam-5822	567	22	fluid	fluid	NOUN
ejpam-5822	567	23	entering	enter	VERB
ejpam-5822	567	24	the	the	DET
ejpam-5822	567	25	reactor	reactor	NOUN
ejpam-5822	567	26	with	with	ADP
ejpam-5822	567	27	a	a	DET
ejpam-5822	567	28	volume	volume	NOUN
ejpam-5822	567	29	vr	vr	NOUN
ejpam-5822	567	30	.	.	PUNCT
ejpam-5822	568	1	the	the	DET
ejpam-5822	568	2	solution	solution	NOUN
ejpam-5822	568	3	to	to	ADP
ejpam-5822	568	4	equation	equation	NOUN
ejpam-5822	568	5	(	(	PUNCT
ejpam-5822	568	6	44	44	NUM
ejpam-5822	568	7	)	)	PUNCT
ejpam-5822	568	8	is	be	AUX
ejpam-5822	568	9	given	give	VERB
ejpam-5822	568	10	by	by	ADP
ejpam-5822	568	11	:	:	PUNCT
ejpam-5822	568	12	c(k	c(k	NOUN
ejpam-5822	568	13	)	)	PUNCT
ejpam-5822	568	14	=	=	PUNCT
ejpam-5822	568	15	(	(	PUNCT
ejpam-5822	569	1	1−	1−	NUM
ejpam-5822	569	2	e−	e−	PROPN
ejpam-5822	569	3	k	k	PROPN
ejpam-5822	569	4	τ	τ	PROPN
ejpam-5822	569	5	)	)	PUNCT
ejpam-5822	569	6	cin	cin	PROPN
ejpam-5822	569	7	,	,	PUNCT
ejpam-5822	569	8	(	(	PUNCT
ejpam-5822	569	9	45	45	NUM
ejpam-5822	569	10	)	)	PUNCT
ejpam-5822	569	11	where	where	SCONJ
ejpam-5822	569	12	τ	τ	PROPN
ejpam-5822	569	13	=	=	PUNCT
ejpam-5822	569	14	vr	vr	PROPN
ejpam-5822	569	15	q	q	PROPN
ejpam-5822	569	16	f	f	PROPN
ejpam-5822	569	17	,	,	PUNCT
ejpam-5822	569	18	represents	represent	VERB
ejpam-5822	569	19	the	the	DET
ejpam-5822	569	20	mean	mean	ADJ
ejpam-5822	569	21	residence	residence	NOUN
ejpam-5822	569	22	time	time	NOUN
ejpam-5822	569	23	.	.	PUNCT
ejpam-5822	570	1	now	now	ADV
ejpam-5822	570	2	,	,	PUNCT
ejpam-5822	570	3	let	let	VERB
ejpam-5822	570	4	’s	’s	NOUN
ejpam-5822	570	5	consider	consider	VERB
ejpam-5822	570	6	the	the	DET
ejpam-5822	570	7	equation	equation	NOUN
ejpam-5822	570	8	representing	represent	VERB
ejpam-5822	570	9	the	the	DET
ejpam-5822	570	10	concentration	concentration	NOUN
ejpam-5822	570	11	of	of	ADP
ejpam-5822	570	12	chemical	chemical	NOUN
ejpam-5822	570	13	within	within	ADP
ejpam-5822	570	14	completely	completely	ADV
ejpam-5822	570	15	mixed	mixed	ADJ
ejpam-5822	570	16	reactor	reactor	NOUN
ejpam-5822	570	17	:	:	PUNCT
ejpam-5822	570	18	g1(k	g1(k	NOUN
ejpam-5822	570	19	)	)	PUNCT
ejpam-5822	570	20	=	=	SYM
ejpam-5822	570	21	(	(	PUNCT
ejpam-5822	570	22	1−	1−	NUM
ejpam-5822	570	23	e-0.04k)cin	e-0.04k)cin	PROPN
ejpam-5822	570	24	+	+	CCONJ
ejpam-5822	570	25	coe−0.04k	coe−0.04k	PROPN
ejpam-5822	570	26	.	.	PUNCT
ejpam-5822	571	1	(	(	PUNCT
ejpam-5822	571	2	46	46	NUM
ejpam-5822	571	3	)	)	PUNCT
ejpam-5822	571	4	here	here	ADV
ejpam-5822	571	5	,	,	PUNCT
ejpam-5822	571	6	cin	cin	PROPN
ejpam-5822	571	7	=	=	NOUN
ejpam-5822	571	8	10	10	NUM
ejpam-5822	571	9	represents	represent	VERB
ejpam-5822	571	10	the	the	DET
ejpam-5822	571	11	inflow	inflow	NOUN
ejpam-5822	571	12	concentration	concentration	NOUN
ejpam-5822	571	13	,	,	PUNCT
ejpam-5822	571	14	and	and	CCONJ
ejpam-5822	571	15	co	co	NOUN
ejpam-5822	571	16	=	=	NOUN
ejpam-5822	571	17	4	4	NUM
ejpam-5822	571	18	is	be	AUX
ejpam-5822	571	19	the	the	DET
ejpam-5822	571	20	initial	initial	ADJ
ejpam-5822	571	21	concentration	concentration	NOUN
ejpam-5822	571	22	of	of	ADP
ejpam-5822	571	23	the	the	DET
ejpam-5822	571	24	chemical	chemical	NOUN
ejpam-5822	571	25	.	.	PUNCT
ejpam-5822	572	1	the	the	DET
ejpam-5822	572	2	exact	exact	ADJ
ejpam-5822	572	3	root	root	NOUN
ejpam-5822	572	4	of	of	ADP
ejpam-5822	572	5	g1(k	g1(k	NOUN
ejpam-5822	572	6	)	)	PUNCT
ejpam-5822	572	7	is	be	AUX
ejpam-5822	572	8	γ	γ	X
ejpam-5822	572	9	=	=	SYM
ejpam-5822	572	10	−12.770059497670	−12.770059497670	X
ejpam-5822	572	11	·	·	PUNCT
ejpam-5822	572	12	·	·	PUNCT
ejpam-5822	572	13	·	·	PUNCT
ejpam-5822	572	14	.	.	PUNCT
ejpam-5822	573	1	we	we	PRON
ejpam-5822	573	2	choose	choose	VERB
ejpam-5822	573	3	the	the	DET
ejpam-5822	573	4	initial	initial	ADJ
ejpam-5822	573	5	approximation	approximation	NOUN
ejpam-5822	573	6	for	for	ADP
ejpam-5822	573	7	g1(k	g1(k	NOUN
ejpam-5822	573	8	)	)	PUNCT
ejpam-5822	573	9	is	be	AUX
ejpam-5822	573	10	k∗	k∗	PROPN
ejpam-5822	573	11	=	=	SYM
ejpam-5822	573	12	−13.51	−13.51	PROPN
ejpam-5822	573	13	.	.	PUNCT
ejpam-5822	574	1	table	table	NOUN
ejpam-5822	574	2	1	1	NUM
ejpam-5822	574	3	explains	explain	VERB
ejpam-5822	574	4	the	the	DET
ejpam-5822	574	5	numerical	numerical	ADJ
ejpam-5822	574	6	results	result	NOUN
ejpam-5822	574	7	for	for	ADP
ejpam-5822	574	8	test	test	NOUN
ejpam-5822	574	9	function	function	NOUN
ejpam-5822	574	10	g1(k	g1(k	NOUN
ejpam-5822	574	11	)	)	PUNCT
ejpam-5822	574	12	.	.	PUNCT
ejpam-5822	575	1	table	table	NOUN
ejpam-5822	575	2	1	1	NUM
ejpam-5822	575	3	shows	show	VERB
ejpam-5822	575	4	that	that	SCONJ
ejpam-5822	575	5	the	the	DET
ejpam-5822	575	6	recently	recently	ADV
ejpam-5822	575	7	developed	develop	VERB
ejpam-5822	575	8	approaches	approach	NOUN
ejpam-5822	575	9	sfhm-1	sfhm-1	NUM
ejpam-5822	575	10	and	and	CCONJ
ejpam-5822	575	11	sfhm-2	sfhm-2	PROPN
ejpam-5822	575	12	outperform	outperform	NOUN
ejpam-5822	575	13	than	than	ADP
ejpam-5822	575	14	the	the	DET
ejpam-5822	575	15	previously	previously	ADV
ejpam-5822	575	16	published	publish	VERB
ejpam-5822	575	17	methods	method	NOUN
ejpam-5822	575	18	when	when	SCONJ
ejpam-5822	575	19	compared	compare	VERB
ejpam-5822	575	20	in	in	ADP
ejpam-5822	575	21	terms	term	NOUN
ejpam-5822	575	22	of	of	ADP
ejpam-5822	575	23	coc	coc	ADJ
ejpam-5822	575	24	and	and	CCONJ
ejpam-5822	575	25	successive	successive	ADJ
ejpam-5822	575	26	iterations	iteration	NOUN
ejpam-5822	575	27	.	.	PUNCT
ejpam-5822	576	1	these	these	DET
ejpam-5822	576	2	methods	method	NOUN
ejpam-5822	576	3	s.	s.	PROPN
ejpam-5822	576	4	akram	akram	PROPN
ejpam-5822	576	5	et	et	PROPN
ejpam-5822	576	6	al	al	PROPN
ejpam-5822	576	7	.	.	PUNCT
ejpam-5822	576	8	/	/	SYM
ejpam-5822	576	9	eur	eur	PROPN
ejpam-5822	576	10	.	.	PUNCT
ejpam-5822	577	1	j.	j.	PROPN
ejpam-5822	577	2	pure	pure	PROPN
ejpam-5822	577	3	appl	appl	PROPN
ejpam-5822	577	4	.	.	PROPN
ejpam-5822	577	5	math	math	PROPN
ejpam-5822	577	6	,	,	PUNCT
ejpam-5822	577	7	18	18	NUM
ejpam-5822	577	8	(	(	PUNCT
ejpam-5822	577	9	2	2	NUM
ejpam-5822	577	10	)	)	PUNCT
ejpam-5822	577	11	(	(	PUNCT
ejpam-5822	577	12	2025	2025	NUM
ejpam-5822	577	13	)	)	PUNCT
ejpam-5822	577	14	,	,	PUNCT
ejpam-5822	577	15	5822	5822	NUM
ejpam-5822	577	16	15	15	NUM
ejpam-5822	577	17	of	of	ADP
ejpam-5822	577	18	26	26	NUM
ejpam-5822	577	19	table	table	NOUN
ejpam-5822	577	20	1	1	NUM
ejpam-5822	577	21	:	:	PUNCT
ejpam-5822	577	22	convergence	convergence	NOUN
ejpam-5822	577	23	behavior	behavior	NOUN
ejpam-5822	577	24	for	for	ADP
ejpam-5822	577	25	g1(k	g1(k	NOUN
ejpam-5822	577	26	)	)	PUNCT
ejpam-5822	577	27	g1(k	g1(k	NOUN
ejpam-5822	577	28	)	)	PUNCT
ejpam-5822	577	29	=	=	SYM
ejpam-5822	577	30	10−6e−0.04k	10−6e−0.04k	NOUN
ejpam-5822	577	31	,	,	PUNCT
ejpam-5822	577	32	k∗	k∗	NOUN
ejpam-5822	577	33	=	=	PROPN
ejpam-5822	577	34	−13.51	−13.51	PROPN
ejpam-5822	577	35	methods	method	NOUN
ejpam-5822	577	36	|k2	|k2	NOUN
ejpam-5822	577	37	−	−	PROPN
ejpam-5822	578	1	k1|	k1|	PROPN
ejpam-5822	578	2	|k3	|k3	NOUN
ejpam-5822	578	3	−	−	ADP
ejpam-5822	578	4	k2|	k2|	X
ejpam-5822	578	5	|k4	|k4	NOUN
ejpam-5822	578	6	−	−	PROPN
ejpam-5822	578	7	k3|	k3|	NOUN
ejpam-5822	578	8	coc	coc	NOUN
ejpam-5822	578	9	sfhm-1	sfhm-1	PROPN
ejpam-5822	578	10	7.39×10−1	7.39×10−1	NUM
ejpam-5822	578	11	1.63×10−28	1.63×10−28	NUM
ejpam-5822	579	1	3.53×10−471	3.53×10−471	NUM
ejpam-5822	579	2	16.00	16.00	NUM
ejpam-5822	579	3	sfhm-2	sfhm-2	NOUN
ejpam-5822	579	4	7.39×10−1	7.39×10−1	NUM
ejpam-5822	579	5	9.23×10−29	9.23×10−29	NOUN
ejpam-5822	579	6	1.97×10−475	1.97×10−475	NUM
ejpam-5822	579	7	16.00	16.00	NUM
ejpam-5822	579	8	cm-1	cm-1	NUM
ejpam-5822	579	9	7.39×10−1	7.39×10−1	NUM
ejpam-5822	579	10	7.34×10−28	7.34×10−28	NUM
ejpam-5822	579	11	7.27×10−460	7.27×10−460	NUM
ejpam-5822	579	12	15.99	15.99	NUM
ejpam-5822	579	13	cm-2	cm-2	NOUN
ejpam-5822	579	14	7.39×10−1	7.39×10−1	NUM
ejpam-5822	580	1	5.43×10−25	5.43×10−25	NOUN
ejpam-5822	580	2	1.41×10−410	1.41×10−410	NUM
ejpam-5822	580	3	15.07	15.07	NUM
ejpam-5822	580	4	cm-3	cm-3	NOUN
ejpam-5822	580	5	7.39×10−1	7.39×10−1	NUM
ejpam-5822	580	6	1.00×10−29	1.00×10−29	NOUN
ejpam-5822	580	7	d	d	NOUN
ejpam-5822	580	8	d	d	NOUN
ejpam-5822	580	9	cm-4	cm-4	NUM
ejpam-5822	580	10	7.08×10−15	7.08×10−15	NUM
ejpam-5822	580	11	7.08×10−15	7.08×10−15	NUM
ejpam-5822	580	12	7.08×10−15	7.08×10−15	NUM
ejpam-5822	580	13	0	0	NUM
ejpam-5822	580	14	cm-5	cm-5	ADP
ejpam-5822	580	15	7.08×10−15	7.08×10−15	NUM
ejpam-5822	580	16	7.08×10−15	7.08×10−15	NUM
ejpam-5822	580	17	7.08×10−15	7.08×10−15	NUM
ejpam-5822	580	18	0	0	NUM
ejpam-5822	580	19	exhibit	exhibit	VERB
ejpam-5822	580	20	a	a	DET
ejpam-5822	580	21	computational	computational	ADJ
ejpam-5822	580	22	order	order	NOUN
ejpam-5822	580	23	of	of	ADP
ejpam-5822	580	24	convergence	convergence	NOUN
ejpam-5822	580	25	of	of	ADP
ejpam-5822	580	26	16	16	NUM
ejpam-5822	580	27	,	,	PUNCT
ejpam-5822	580	28	indicating	indicate	VERB
ejpam-5822	580	29	highly	highly	ADV
ejpam-5822	580	30	accurate	accurate	ADJ
ejpam-5822	580	31	results	result	NOUN
ejpam-5822	580	32	.	.	PUNCT
ejpam-5822	581	1	on	on	ADP
ejpam-5822	581	2	the	the	DET
ejpam-5822	581	3	other	other	ADJ
ejpam-5822	581	4	hand	hand	NOUN
ejpam-5822	581	5	,	,	PUNCT
ejpam-5822	581	6	the	the	DET
ejpam-5822	581	7	methods	method	NOUN
ejpam-5822	581	8	cm-1	cm-1	X
ejpam-5822	581	9	and	and	CCONJ
ejpam-5822	581	10	cm-2	cm-2	NOUN
ejpam-5822	581	11	show	show	VERB
ejpam-5822	581	12	slightly	slightly	ADV
ejpam-5822	581	13	lower	low	ADJ
ejpam-5822	581	14	performance	performance	NOUN
ejpam-5822	581	15	,	,	PUNCT
ejpam-5822	581	16	with	with	ADP
ejpam-5822	581	17	computational	computational	ADJ
ejpam-5822	581	18	orders	order	NOUN
ejpam-5822	581	19	of	of	ADP
ejpam-5822	581	20	convergence	convergence	NOUN
ejpam-5822	581	21	of	of	ADP
ejpam-5822	581	22	15.99	15.99	NUM
ejpam-5822	581	23	and	and	CCONJ
ejpam-5822	581	24	15.07	15.07	NUM
ejpam-5822	581	25	,	,	PUNCT
ejpam-5822	581	26	respectively	respectively	ADV
ejpam-5822	581	27	.	.	PUNCT
ejpam-5822	582	1	the	the	DET
ejpam-5822	582	2	scheme	scheme	NOUN
ejpam-5822	582	3	cm-3	cm-3	PRON
ejpam-5822	582	4	fails	fail	VERB
ejpam-5822	582	5	to	to	PART
ejpam-5822	582	6	converge	converge	VERB
ejpam-5822	582	7	,	,	PUNCT
ejpam-5822	582	8	as	as	SCONJ
ejpam-5822	582	9	indicated	indicate	VERB
ejpam-5822	582	10	by	by	ADP
ejpam-5822	582	11	the	the	DET
ejpam-5822	582	12	divergence	divergence	NOUN
ejpam-5822	582	13	observed	observe	VERB
ejpam-5822	582	14	in	in	ADP
ejpam-5822	582	15	its	its	PRON
ejpam-5822	582	16	results	result	NOUN
ejpam-5822	582	17	.	.	PUNCT
ejpam-5822	583	1	meanwhile	meanwhile	ADV
ejpam-5822	583	2	,	,	PUNCT
ejpam-5822	583	3	cm-4	cm-4	PUNCT
ejpam-5822	583	4	and	and	CCONJ
ejpam-5822	583	5	cm-5	cm-5	AUX
ejpam-5822	583	6	both	both	PRON
ejpam-5822	583	7	fail	fail	VERB
ejpam-5822	583	8	to	to	PART
ejpam-5822	583	9	progress	progress	VERB
ejpam-5822	583	10	using	use	VERB
ejpam-5822	583	11	the	the	DET
ejpam-5822	583	12	suggested	suggest	VERB
ejpam-5822	583	13	initial	initial	ADJ
ejpam-5822	583	14	values	value	NOUN
ejpam-5822	583	15	,	,	PUNCT
ejpam-5822	583	16	resulting	result	VERB
ejpam-5822	583	17	in	in	ADP
ejpam-5822	583	18	a	a	DET
ejpam-5822	583	19	computational	computational	ADJ
ejpam-5822	583	20	order	order	NOUN
ejpam-5822	583	21	of	of	ADP
ejpam-5822	583	22	convergence	convergence	NOUN
ejpam-5822	583	23	of	of	ADP
ejpam-5822	583	24	zero	zero	NUM
ejpam-5822	583	25	.	.	PUNCT
ejpam-5822	583	26	example	example	NOUN
ejpam-5822	584	1	2	2	NUM
ejpam-5822	584	2	.	.	PUNCT
ejpam-5822	584	3	kepler	kepler	PROPN
ejpam-5822	584	4	’s	’s	PART
ejpam-5822	584	5	equation	equation	NOUN
ejpam-5822	584	6	of	of	ADP
ejpam-5822	584	7	celestial	celestial	ADJ
ejpam-5822	584	8	motion	motion	NOUN
ejpam-5822	584	9	in	in	ADP
ejpam-5822	584	10	the	the	DET
ejpam-5822	584	11	field	field	NOUN
ejpam-5822	584	12	of	of	ADP
ejpam-5822	584	13	celestial	celestial	ADJ
ejpam-5822	584	14	mechanics	mechanic	NOUN
ejpam-5822	584	15	,	,	PUNCT
ejpam-5822	584	16	kepler	kepler	NOUN
ejpam-5822	584	17	’s	’s	PART
ejpam-5822	584	18	equation	equation	NOUN
ejpam-5822	584	19	[	[	X
ejpam-5822	584	20	32	32	NUM
ejpam-5822	584	21	]	]	PUNCT
ejpam-5822	584	22	serves	serve	VERB
ejpam-5822	584	23	as	as	ADP
ejpam-5822	584	24	a	a	DET
ejpam-5822	584	25	fundamental	fundamental	ADJ
ejpam-5822	584	26	cornerstone	cornerstone	NOUN
ejpam-5822	584	27	,	,	PUNCT
ejpam-5822	584	28	establishing	establish	VERB
ejpam-5822	584	29	a	a	DET
ejpam-5822	584	30	vital	vital	ADJ
ejpam-5822	584	31	link	link	NOUN
ejpam-5822	584	32	between	between	ADP
ejpam-5822	584	33	the	the	DET
ejpam-5822	584	34	temporal	temporal	ADJ
ejpam-5822	584	35	dynamics	dynamic	NOUN
ejpam-5822	584	36	and	and	CCONJ
ejpam-5822	584	37	spatial	spatial	ADJ
ejpam-5822	584	38	configurations	configuration	NOUN
ejpam-5822	584	39	of	of	ADP
ejpam-5822	584	40	celestial	celestial	ADJ
ejpam-5822	584	41	bodies	body	NOUN
ejpam-5822	584	42	,	,	PUNCT
ejpam-5822	584	43	notably	notably	ADV
ejpam-5822	584	44	planets	planet	NOUN
ejpam-5822	584	45	,	,	PUNCT
ejpam-5822	584	46	concerning	concern	VERB
ejpam-5822	584	47	a	a	DET
ejpam-5822	584	48	designated	designate	VERB
ejpam-5822	584	49	starting	starting	NOUN
ejpam-5822	584	50	point	point	NOUN
ejpam-5822	584	51	.	.	PUNCT
ejpam-5822	585	1	this	this	DET
ejpam-5822	585	2	equation	equation	NOUN
ejpam-5822	585	3	,	,	PUNCT
ejpam-5822	585	4	known	know	VERB
ejpam-5822	585	5	for	for	ADP
ejpam-5822	585	6	its	its	PRON
ejpam-5822	585	7	significance	significance	NOUN
ejpam-5822	585	8	,	,	PUNCT
ejpam-5822	585	9	intricately	intricately	ADV
ejpam-5822	585	10	relates	relate	VERB
ejpam-5822	585	11	the	the	DET
ejpam-5822	585	12	mean	mean	ADJ
ejpam-5822	585	13	anomaly	anomaly	NOUN
ejpam-5822	585	14	,	,	PUNCT
ejpam-5822	585	15	eccentric	eccentric	ADJ
ejpam-5822	585	16	anomaly	anomaly	NOUN
ejpam-5822	585	17	,	,	PUNCT
ejpam-5822	585	18	and	and	CCONJ
ejpam-5822	585	19	the	the	DET
ejpam-5822	585	20	eccentricity	eccentricity	NOUN
ejpam-5822	585	21	of	of	ADP
ejpam-5822	585	22	the	the	DET
ejpam-5822	585	23	orbital	orbital	ADJ
ejpam-5822	585	24	path	path	NOUN
ejpam-5822	585	25	formulated	formulate	VERB
ejpam-5822	585	26	as	as	ADP
ejpam-5822	585	27	:	:	PUNCT
ejpam-5822	585	28	g2(k	g2(k	NOUN
ejpam-5822	585	29	)	)	PUNCT
ejpam-5822	585	30	=	=	SYM
ejpam-5822	585	31	k−	k−	NOUN
ejpam-5822	585	32	esin(k)−m	esin(k)−m	NOUN
ejpam-5822	585	33	.	.	PUNCT
ejpam-5822	586	1	(	(	PUNCT
ejpam-5822	586	2	47	47	NUM
ejpam-5822	586	3	)	)	PUNCT
ejpam-5822	586	4	where	where	SCONJ
ejpam-5822	586	5	k	k	PROPN
ejpam-5822	586	6	symbolizes	symbolize	VERB
ejpam-5822	586	7	the	the	DET
ejpam-5822	586	8	eccentric	eccentric	ADJ
ejpam-5822	586	9	anomaly	anomaly	NOUN
ejpam-5822	586	10	,	,	PUNCT
ejpam-5822	586	11	m	m	PROPN
ejpam-5822	586	12	embodies	embody	VERB
ejpam-5822	586	13	the	the	DET
ejpam-5822	586	14	mean	mean	ADJ
ejpam-5822	586	15	anomaly	anomaly	NOUN
ejpam-5822	586	16	and	and	CCONJ
ejpam-5822	586	17	e	e	NOUN
ejpam-5822	586	18	represents	represent	VERB
ejpam-5822	586	19	the	the	DET
ejpam-5822	586	20	eccentricity	eccentricity	NOUN
ejpam-5822	586	21	of	of	ADP
ejpam-5822	586	22	the	the	DET
ejpam-5822	586	23	orbit	orbit	NOUN
ejpam-5822	586	24	.	.	PUNCT
ejpam-5822	587	1	in	in	ADP
ejpam-5822	587	2	practical	practical	ADJ
ejpam-5822	587	3	astronomical	astronomical	ADJ
ejpam-5822	587	4	scenarios	scenario	NOUN
ejpam-5822	587	5	,	,	PUNCT
ejpam-5822	587	6	consider	consider	VERB
ejpam-5822	587	7	a	a	DET
ejpam-5822	587	8	satellite	satellite	NOUN
ejpam-5822	587	9	orbiting	orbiting	NOUN
ejpam-5822	587	10	along	along	ADP
ejpam-5822	587	11	an	an	DET
ejpam-5822	587	12	elliptical	elliptical	ADJ
ejpam-5822	587	13	trajectory	trajectory	NOUN
ejpam-5822	587	14	characterized	characterize	VERB
ejpam-5822	587	15	by	by	ADP
ejpam-5822	587	16	an	an	DET
ejpam-5822	587	17	eccentricity	eccentricity	NOUN
ejpam-5822	587	18	of	of	ADP
ejpam-5822	587	19	e	e	NOUN
ejpam-5822	587	20	=	=	SYM
ejpam-5822	587	21	0.9995	0.9995	PROPN
ejpam-5822	587	22	and	and	CCONJ
ejpam-5822	587	23	a	a	DET
ejpam-5822	587	24	mean	mean	NOUN
ejpam-5822	587	25	anomaly	anomaly	NOUN
ejpam-5822	587	26	m	m	PROPN
ejpam-5822	587	27	=	=	VERB
ejpam-5822	587	28	0.01.compute	0.01.compute	NOUN
ejpam-5822	587	29	the	the	DET
ejpam-5822	587	30	eccentric	eccentric	ADJ
ejpam-5822	587	31	anomaly	anomaly	NOUN
ejpam-5822	587	32	while	while	SCONJ
ejpam-5822	587	33	maintaining	maintain	VERB
ejpam-5822	587	34	the	the	DET
ejpam-5822	587	35	criteria	criterion	NOUN
ejpam-5822	587	36	where	where	SCONJ
ejpam-5822	587	37	0	0	NUM
ejpam-5822	587	38	≤	≤	NUM
ejpam-5822	587	39	e	e	NOUN
ejpam-5822	587	40	≤	≤	NUM
ejpam-5822	587	41	1	1	NUM
ejpam-5822	587	42	and	and	CCONJ
ejpam-5822	587	43	0	0	NUM
ejpam-5822	587	44	≤	≤	NUM
ejpam-5822	587	45	m	m	VERB
ejpam-5822	587	46	≤	≤	NOUN
ejpam-5822	587	47	π	π	X
ejpam-5822	587	48	.	.	PUNCT
ejpam-5822	588	1	the	the	DET
ejpam-5822	588	2	exact	exact	ADJ
ejpam-5822	588	3	root	root	NOUN
ejpam-5822	588	4	of	of	ADP
ejpam-5822	588	5	function	function	NOUN
ejpam-5822	588	6	g2(k	g2(k	NOUN
ejpam-5822	588	7	)	)	PUNCT
ejpam-5822	588	8	is	be	AUX
ejpam-5822	588	9	0.3899777749463	0.3899777749463	NUM
ejpam-5822	588	10	·	·	PUNCT
ejpam-5822	588	11	·	·	PUNCT
ejpam-5822	588	12	·	·	PUNCT
ejpam-5822	588	13	.	.	PUNCT
ejpam-5822	589	1	table	table	NOUN
ejpam-5822	589	2	2	2	NUM
ejpam-5822	589	3	provides	provide	VERB
ejpam-5822	589	4	a	a	DET
ejpam-5822	589	5	thorough	thorough	ADJ
ejpam-5822	589	6	comparison	comparison	NOUN
ejpam-5822	589	7	between	between	ADP
ejpam-5822	589	8	the	the	DET
ejpam-5822	589	9	established	establish	VERB
ejpam-5822	589	10	counterparts	counterpart	NOUN
ejpam-5822	589	11	and	and	CCONJ
ejpam-5822	589	12	the	the	DET
ejpam-5822	589	13	suggested	suggest	VERB
ejpam-5822	589	14	four	four	NUM
ejpam-5822	589	15	-	-	PUNCT
ejpam-5822	589	16	point	point	NOUN
ejpam-5822	589	17	iterative	iterative	NOUN
ejpam-5822	589	18	schemes	scheme	NOUN
ejpam-5822	589	19	sfhm-1	sfhm-1	NUM
ejpam-5822	589	20	and	and	CCONJ
ejpam-5822	589	21	sfhm-2	sfhm-2	PROPN
ejpam-5822	589	22	in	in	ADP
ejpam-5822	589	23	order	order	NOUN
ejpam-5822	589	24	to	to	PART
ejpam-5822	589	25	provide	provide	VERB
ejpam-5822	589	26	more	more	ADJ
ejpam-5822	589	27	understanding	understanding	NOUN
ejpam-5822	589	28	of	of	ADP
ejpam-5822	589	29	the	the	DET
ejpam-5822	589	30	computational	computational	ADJ
ejpam-5822	589	31	approaches	approach	NOUN
ejpam-5822	589	32	used	use	VERB
ejpam-5822	589	33	.	.	PUNCT
ejpam-5822	590	1	in	in	ADP
ejpam-5822	590	2	particular	particular	ADJ
ejpam-5822	590	3	,	,	PUNCT
ejpam-5822	590	4	we	we	PRON
ejpam-5822	590	5	investigate	investigate	VERB
ejpam-5822	590	6	how	how	SCONJ
ejpam-5822	590	7	the	the	DET
ejpam-5822	590	8	initial	initial	ADJ
ejpam-5822	590	9	approximation	approximation	NOUN
ejpam-5822	590	10	k∗	k∗	NOUN
ejpam-5822	590	11	=	=	PUNCT
ejpam-5822	590	12	0.381	0.381	NUM
ejpam-5822	590	13	influence	influence	NOUN
ejpam-5822	590	14	the	the	DET
ejpam-5822	590	15	convergence	convergence	NOUN
ejpam-5822	590	16	behavior	behavior	NOUN
ejpam-5822	590	17	and	and	CCONJ
ejpam-5822	590	18	computational	computational	ADJ
ejpam-5822	590	19	efficiency	efficiency	NOUN
ejpam-5822	590	20	of	of	ADP
ejpam-5822	590	21	these	these	DET
ejpam-5822	590	22	iterative	iterative	NOUN
ejpam-5822	590	23	techniques	technique	NOUN
ejpam-5822	590	24	.	.	PUNCT
ejpam-5822	591	1	among	among	ADP
ejpam-5822	591	2	the	the	DET
ejpam-5822	591	3	previously	previously	ADV
ejpam-5822	591	4	published	publish	VERB
ejpam-5822	591	5	methods	method	NOUN
ejpam-5822	591	6	,	,	PUNCT
ejpam-5822	591	7	cm-1	cm-1	PUNCT
ejpam-5822	591	8	and	and	CCONJ
ejpam-5822	591	9	cm-2	cm-2	NOUN
ejpam-5822	591	10	also	also	ADV
ejpam-5822	591	11	exhibit	exhibit	VERB
ejpam-5822	591	12	a	a	DET
ejpam-5822	591	13	strong	strong	ADJ
ejpam-5822	591	14	performance	performance	NOUN
ejpam-5822	591	15	with	with	ADP
ejpam-5822	591	16	a	a	DET
ejpam-5822	591	17	coc	coc	NOUN
ejpam-5822	591	18	of	of	ADP
ejpam-5822	591	19	16.0	16.0	NUM
ejpam-5822	591	20	.	.	PUNCT
ejpam-5822	592	1	however	however	ADV
ejpam-5822	592	2	,	,	PUNCT
ejpam-5822	592	3	cm-3	cm-3	PUNCT
ejpam-5822	592	4	shows	show	VERB
ejpam-5822	592	5	a	a	DET
ejpam-5822	592	6	slightly	slightly	ADV
ejpam-5822	592	7	reduced	reduce	VERB
ejpam-5822	592	8	coc	coc	NOUN
ejpam-5822	592	9	of	of	ADP
ejpam-5822	592	10	15.8	15.8	NUM
ejpam-5822	592	11	,	,	PUNCT
ejpam-5822	592	12	indicating	indicate	VERB
ejpam-5822	592	13	a	a	DET
ejpam-5822	592	14	minor	minor	ADJ
ejpam-5822	592	15	drop	drop	NOUN
ejpam-5822	592	16	in	in	ADP
ejpam-5822	592	17	accuracy	accuracy	NOUN
ejpam-5822	592	18	.	.	PUNCT
ejpam-5822	593	1	on	on	ADP
ejpam-5822	593	2	the	the	DET
ejpam-5822	593	3	other	other	ADJ
ejpam-5822	593	4	hand	hand	NOUN
ejpam-5822	593	5	,	,	PUNCT
ejpam-5822	593	6	cm-4	cm-4	PUNCT
ejpam-5822	593	7	and	and	CCONJ
ejpam-5822	593	8	cm-5	cm-5	AUX
ejpam-5822	593	9	display	display	VERB
ejpam-5822	593	10	significantly	significantly	ADV
ejpam-5822	593	11	lower	low	ADJ
ejpam-5822	593	12	coc	coc	ADJ
ejpam-5822	593	13	values	value	NOUN
ejpam-5822	593	14	of	of	ADP
ejpam-5822	593	15	5.53	5.53	NUM
ejpam-5822	593	16	and	and	CCONJ
ejpam-5822	593	17	3.94	3.94	NUM
ejpam-5822	593	18	,	,	PUNCT
ejpam-5822	593	19	respectively	respectively	ADV
ejpam-5822	593	20	,	,	PUNCT
ejpam-5822	593	21	highlighting	highlight	VERB
ejpam-5822	593	22	their	their	PRON
ejpam-5822	593	23	comparatively	comparatively	ADV
ejpam-5822	593	24	weaker	weak	ADJ
ejpam-5822	593	25	performance	performance	NOUN
ejpam-5822	593	26	for	for	ADP
ejpam-5822	593	27	this	this	DET
ejpam-5822	593	28	specific	specific	ADJ
ejpam-5822	593	29	example	example	NOUN
ejpam-5822	593	30	.	.	PUNCT
ejpam-5822	594	1	these	these	DET
ejpam-5822	594	2	results	result	NOUN
ejpam-5822	594	3	confirm	confirm	VERB
ejpam-5822	594	4	the	the	DET
ejpam-5822	594	5	superior	superior	ADJ
ejpam-5822	594	6	efficiency	efficiency	NOUN
ejpam-5822	594	7	and	and	CCONJ
ejpam-5822	594	8	robustness	robustness	NOUN
ejpam-5822	594	9	of	of	ADP
ejpam-5822	594	10	sfhm-1	sfhm-1	NUM
ejpam-5822	594	11	and	and	CCONJ
ejpam-5822	594	12	sfhm-2	sfhm-2	PROPN
ejpam-5822	594	13	in	in	ADP
ejpam-5822	594	14	handling	handle	VERB
ejpam-5822	594	15	this	this	DET
ejpam-5822	594	16	nonlinear	nonlinear	ADJ
ejpam-5822	594	17	equation	equation	NOUN
ejpam-5822	594	18	,	,	PUNCT
ejpam-5822	594	19	further	far	ADV
ejpam-5822	594	20	emphasizing	emphasize	VERB
ejpam-5822	594	21	the	the	DET
ejpam-5822	594	22	importance	importance	NOUN
ejpam-5822	594	23	of	of	ADP
ejpam-5822	594	24	advanced	advanced	ADJ
ejpam-5822	594	25	iterative	iterative	NOUN
ejpam-5822	594	26	methods	method	NOUN
ejpam-5822	594	27	in	in	ADP
ejpam-5822	594	28	this	this	DET
ejpam-5822	594	29	domain	domain	NOUN
ejpam-5822	594	30	.	.	PUNCT
ejpam-5822	595	1	example	example	NOUN
ejpam-5822	596	1	3	3	NUM
ejpam-5822	596	2	.	.	PUNCT
ejpam-5822	596	3	population	population	NOUN
ejpam-5822	596	4	dynamics	dynamic	NOUN
ejpam-5822	596	5	in	in	ADP
ejpam-5822	596	6	predator	predator	NOUN
ejpam-5822	596	7	-	-	PUNCT
ejpam-5822	596	8	prey	prey	NOUN
ejpam-5822	596	9	ecosystems	ecosystem	NOUN
ejpam-5822	596	10	s.	s.	PROPN
ejpam-5822	596	11	akram	akram	PROPN
ejpam-5822	596	12	et	et	PROPN
ejpam-5822	596	13	al	al	PROPN
ejpam-5822	596	14	.	.	PUNCT
ejpam-5822	596	15	/	/	SYM
ejpam-5822	596	16	eur	eur	PROPN
ejpam-5822	596	17	.	.	PUNCT
ejpam-5822	597	1	j.	j.	PROPN
ejpam-5822	597	2	pure	pure	PROPN
ejpam-5822	597	3	appl	appl	PROPN
ejpam-5822	597	4	.	.	PROPN
ejpam-5822	597	5	math	math	PROPN
ejpam-5822	597	6	,	,	PUNCT
ejpam-5822	597	7	18	18	NUM
ejpam-5822	597	8	(	(	PUNCT
ejpam-5822	597	9	2	2	NUM
ejpam-5822	597	10	)	)	PUNCT
ejpam-5822	597	11	(	(	PUNCT
ejpam-5822	597	12	2025	2025	NUM
ejpam-5822	597	13	)	)	PUNCT
ejpam-5822	597	14	,	,	PUNCT
ejpam-5822	597	15	5822	5822	NUM
ejpam-5822	597	16	16	16	NUM
ejpam-5822	597	17	of	of	ADP
ejpam-5822	597	18	26	26	NUM
ejpam-5822	597	19	table	table	NOUN
ejpam-5822	597	20	2	2	NUM
ejpam-5822	597	21	:	:	PUNCT
ejpam-5822	597	22	convergence	convergence	NOUN
ejpam-5822	597	23	behavior	behavior	NOUN
ejpam-5822	597	24	for	for	ADP
ejpam-5822	597	25	g2(k	g2(k	NOUN
ejpam-5822	597	26	)	)	PUNCT
ejpam-5822	597	27	g2(k	g2(k	NOUN
ejpam-5822	597	28	)	)	PUNCT
ejpam-5822	597	29	=	=	SYM
ejpam-5822	597	30	k−0.9995sin(k)−0.01	k−0.9995sin(k)−0.01	PROPN
ejpam-5822	597	31	,	,	PUNCT
ejpam-5822	597	32	k∗	k∗	NOUN
ejpam-5822	597	33	=	=	SYM
ejpam-5822	597	34	0.381	0.381	NUM
ejpam-5822	597	35	methods	method	NOUN
ejpam-5822	597	36	|k2	|k2	NOUN
ejpam-5822	597	37	−	−	PROPN
ejpam-5822	598	1	k1|	k1|	PROPN
ejpam-5822	598	2	|k3	|k3	NOUN
ejpam-5822	598	3	−	−	ADP
ejpam-5822	598	4	k2|	k2|	X
ejpam-5822	598	5	|k4	|k4	NOUN
ejpam-5822	598	6	−	−	PROPN
ejpam-5822	598	7	k3|	k3|	NOUN
ejpam-5822	598	8	coc	coc	NOUN
ejpam-5822	598	9	sfhm-1	sfhm-1	PROPN
ejpam-5822	598	10	8.98×10−3	8.98×10−3	NUM
ejpam-5822	598	11	2.25×10−28	2.25×10−28	NUM
ejpam-5822	598	12	6.02×10−438	6.02×10−438	NUM
ejpam-5822	598	13	16.0	16.0	NUM
ejpam-5822	598	14	sfhm-2	sfhm-2	NOUN
ejpam-5822	598	15	0.8×10−2	0.8×10−2	NUM
ejpam-5822	598	16	2.25×10−28	2.25×10−28	NUM
ejpam-5822	598	17	5.95×10−438	5.95×10−438	NUM
ejpam-5822	598	18	16.0	16.0	NUM
ejpam-5822	598	19	cm-1	cm-1	NUM
ejpam-5822	598	20	0.8×10−2	0.8×10−2	NUM
ejpam-5822	598	21	2.99×10−26	2.99×10−26	NUM
ejpam-5822	598	22	5.07×10−402	5.07×10−402	NOUN
ejpam-5822	598	23	16.0	16.0	NUM
ejpam-5822	598	24	cm-2	cm-2	NOUN
ejpam-5822	599	1	0.8×10−2	0.8×10−2	NUM
ejpam-5822	599	2	3.86×10−23	3.86×10−23	NUM
ejpam-5822	599	3	4.30×10−350	4.30×10−350	NUM
ejpam-5822	599	4	16.0	16.0	NUM
ejpam-5822	599	5	cm-3	cm-3	NOUN
ejpam-5822	599	6	0.8×10−2	0.8×10−2	NUM
ejpam-5822	599	7	4.57×10−28	4.57×10−28	NUM
ejpam-5822	599	8	7.61×10−433	7.61×10−433	NUM
ejpam-5822	599	9	15.8	15.8	NUM
ejpam-5822	599	10	cm-4	cm-4	NUM
ejpam-5822	600	1	5.59×10−1	5.59×10−1	NUM
ejpam-5822	600	2	5.84×10−2	5.84×10−2	NUM
ejpam-5822	600	3	6.21×10−14	6.21×10−14	NUM
ejpam-5822	600	4	5.53	5.53	NUM
ejpam-5822	600	5	cm-5	cm-5	ADP
ejpam-5822	600	6	7.09×10−1	7.09×10−1	NUM
ejpam-5822	600	7	1.62×10−2	1.62×10−2	NUM
ejpam-5822	600	8	6.21×10−14	6.21×10−14	NUM
ejpam-5822	600	9	3.94	3.94	NUM
ejpam-5822	600	10	consider	consider	VERB
ejpam-5822	600	11	a	a	DET
ejpam-5822	600	12	predator	predator	NOUN
ejpam-5822	600	13	-	-	PUNCT
ejpam-5822	600	14	prey	prey	NOUN
ejpam-5822	600	15	ecosystem	ecosystem	NOUN
ejpam-5822	601	1	[	[	X
ejpam-5822	601	2	33	33	NUM
ejpam-5822	601	3	]	]	PUNCT
ejpam-5822	601	4	where	where	SCONJ
ejpam-5822	601	5	the	the	DET
ejpam-5822	601	6	prey	prey	PROPN
ejpam-5822	601	7	population	population	PROPN
ejpam-5822	601	8	k	k	PROPN
ejpam-5822	601	9	,	,	PUNCT
ejpam-5822	601	10	experiences	experience	VERB
ejpam-5822	601	11	both	both	PRON
ejpam-5822	601	12	natural	natural	ADJ
ejpam-5822	601	13	growth	growth	NOUN
ejpam-5822	601	14	and	and	CCONJ
ejpam-5822	601	15	nonlinear	nonlinear	ADJ
ejpam-5822	601	16	mortality	mortality	NOUN
ejpam-5822	601	17	due	due	ADP
ejpam-5822	601	18	to	to	ADP
ejpam-5822	601	19	overpopulation	overpopulation	NOUN
ejpam-5822	601	20	and	and	CCONJ
ejpam-5822	601	21	competition	competition	NOUN
ejpam-5822	601	22	.	.	PUNCT
ejpam-5822	602	1	this	this	DET
ejpam-5822	602	2	ecosystem	ecosystem	NOUN
ejpam-5822	602	3	could	could	AUX
ejpam-5822	602	4	apply	apply	VERB
ejpam-5822	602	5	to	to	ADP
ejpam-5822	602	6	various	various	ADJ
ejpam-5822	602	7	animal	animal	NOUN
ejpam-5822	602	8	populations	population	NOUN
ejpam-5822	602	9	where	where	SCONJ
ejpam-5822	602	10	the	the	DET
ejpam-5822	602	11	death	death	NOUN
ejpam-5822	602	12	rate	rate	NOUN
ejpam-5822	602	13	increases	increase	NOUN
ejpam-5822	602	14	nonlinearly	nonlinearly	ADV
ejpam-5822	602	15	due	due	ADJ
ejpam-5822	602	16	to	to	ADP
ejpam-5822	602	17	overcrowding	overcrowding	NOUN
ejpam-5822	602	18	effects	effect	NOUN
ejpam-5822	602	19	,	,	PUNCT
ejpam-5822	602	20	resource	resource	NOUN
ejpam-5822	602	21	limitations	limitation	NOUN
ejpam-5822	602	22	,	,	PUNCT
ejpam-5822	602	23	or	or	CCONJ
ejpam-5822	602	24	intensified	intensify	VERB
ejpam-5822	602	25	predation	predation	NOUN
ejpam-5822	602	26	as	as	SCONJ
ejpam-5822	602	27	population	population	NOUN
ejpam-5822	602	28	density	density	NOUN
ejpam-5822	602	29	grows	grow	VERB
ejpam-5822	602	30	.	.	PUNCT
ejpam-5822	603	1	in	in	ADP
ejpam-5822	603	2	such	such	ADJ
ejpam-5822	603	3	ecosystems	ecosystem	NOUN
ejpam-5822	603	4	,	,	PUNCT
ejpam-5822	603	5	the	the	DET
ejpam-5822	603	6	growth	growth	NOUN
ejpam-5822	603	7	rate	rate	NOUN
ejpam-5822	603	8	of	of	ADP
ejpam-5822	603	9	the	the	DET
ejpam-5822	603	10	prey	prey	NOUN
ejpam-5822	603	11	population	population	NOUN
ejpam-5822	603	12	can	can	AUX
ejpam-5822	603	13	be	be	AUX
ejpam-5822	603	14	modeled	model	VERB
ejpam-5822	603	15	as	as	ADP
ejpam-5822	603	16	:	:	PUNCT
ejpam-5822	603	17	g3(k	g3(k	X
ejpam-5822	603	18	)	)	PUNCT
ejpam-5822	603	19	=	=	VERB
ejpam-5822	603	20	−20k5	−20k5	NOUN
ejpam-5822	603	21	−	−	NUM
ejpam-5822	603	22	1	1	NUM
ejpam-5822	603	23	2	2	NUM
ejpam-5822	603	24	k+	k+	NOUN
ejpam-5822	603	25	1	1	NUM
ejpam-5822	603	26	2	2	NUM
ejpam-5822	603	27	.	.	PUNCT
ejpam-5822	604	1	(	(	PUNCT
ejpam-5822	604	2	48	48	NUM
ejpam-5822	604	3	)	)	PUNCT
ejpam-5822	604	4	from	from	ADP
ejpam-5822	604	5	the	the	DET
ejpam-5822	604	6	five	five	NUM
ejpam-5822	604	7	roots	root	NOUN
ejpam-5822	604	8	of	of	ADP
ejpam-5822	604	9	the	the	DET
ejpam-5822	604	10	function	function	NOUN
ejpam-5822	604	11	g3(k	g3(k	PROPN
ejpam-5822	604	12	)	)	PUNCT
ejpam-5822	604	13	,	,	PUNCT
ejpam-5822	604	14	we	we	PRON
ejpam-5822	604	15	choose	choose	VERB
ejpam-5822	604	16	γ	γ	X
ejpam-5822	604	17	=	=	SYM
ejpam-5822	604	18	0.427677296931003	0.427677296931003	NUM
ejpam-5822	604	19	·	·	PUNCT
ejpam-5822	604	20	·	·	PUNCT
ejpam-5822	604	21	·	·	PUNCT
ejpam-5822	604	22	.	.	PUNCT
ejpam-5822	605	1	for	for	ADP
ejpam-5822	605	2	the	the	DET
ejpam-5822	605	3	function	function	NOUN
ejpam-5822	605	4	g3(k	g3(k	PROPN
ejpam-5822	605	5	)	)	PUNCT
ejpam-5822	605	6	,	,	PUNCT
ejpam-5822	605	7	the	the	DET
ejpam-5822	605	8	initial	initial	ADJ
ejpam-5822	605	9	approximation	approximation	NOUN
ejpam-5822	605	10	is	be	AUX
ejpam-5822	605	11	k∗	k∗	NOUN
ejpam-5822	605	12	=	=	SYM
ejpam-5822	605	13	0.5	0.5	NUM
ejpam-5822	605	14	.	.	PUNCT
ejpam-5822	605	15	table	table	NOUN
ejpam-5822	605	16	3	3	NUM
ejpam-5822	605	17	illustrates	illustrate	VERB
ejpam-5822	605	18	the	the	DET
ejpam-5822	605	19	numerical	numerical	ADJ
ejpam-5822	605	20	results	result	NOUN
ejpam-5822	605	21	.	.	PUNCT
ejpam-5822	606	1	table	table	NOUN
ejpam-5822	606	2	3	3	NUM
ejpam-5822	606	3	:	:	PUNCT
ejpam-5822	606	4	convergence	convergence	NOUN
ejpam-5822	606	5	analysis	analysis	NOUN
ejpam-5822	606	6	for	for	ADP
ejpam-5822	606	7	g3(k	g3(k	NOUN
ejpam-5822	606	8	)	)	PUNCT
ejpam-5822	606	9	g3(k	g3(k	NOUN
ejpam-5822	606	10	)	)	PUNCT
ejpam-5822	607	1	=	=	VERB
ejpam-5822	607	2	−20k5	−20k5	NOUN
ejpam-5822	607	3	−	−	NUM
ejpam-5822	607	4	1	1	NUM
ejpam-5822	607	5	2	2	NUM
ejpam-5822	607	6	k+	k+	NOUN
ejpam-5822	607	7	1	1	NUM
ejpam-5822	607	8	2	2	NUM
ejpam-5822	607	9	,	,	PUNCT
ejpam-5822	607	10	k∗	k∗	NOUN
ejpam-5822	607	11	=	=	SYM
ejpam-5822	607	12	0.5	0.5	NUM
ejpam-5822	607	13	methods	method	NOUN
ejpam-5822	607	14	|k2	|k2	NOUN
ejpam-5822	607	15	−	−	PROPN
ejpam-5822	608	1	k1|	k1|	PROPN
ejpam-5822	608	2	|k3	|k3	NOUN
ejpam-5822	608	3	−	−	ADP
ejpam-5822	608	4	k2|	k2|	X
ejpam-5822	608	5	|k4	|k4	NOUN
ejpam-5822	608	6	−	−	PROPN
ejpam-5822	608	7	k3|	k3|	NOUN
ejpam-5822	608	8	coc	coc	NOUN
ejpam-5822	608	9	sfhm-1	sfhm-1	PROPN
ejpam-5822	608	10	7.23×10−2	7.23×10−2	NUM
ejpam-5822	608	11	4.57×10−11	4.57×10−11	NOUN
ejpam-5822	608	12	2.03×10−157	2.03×10−157	NOUN
ejpam-5822	608	13	15.90	15.90	NUM
ejpam-5822	608	14	sfhm-2	sfhm-2	NOUN
ejpam-5822	609	1	7.23×10−2	7.23×10−2	NUM
ejpam-5822	609	2	1.45×10−12	1.45×10−12	NUM
ejpam-5822	609	3	3.48×10−182	3.48×10−182	NUM
ejpam-5822	609	4	15.85	15.85	NUM
ejpam-5822	609	5	cm-1	cm-1	NOUN
ejpam-5822	609	6	7.23×10−2	7.23×10−2	NUM
ejpam-5822	610	1	2.42×10−10	2.42×10−10	NUM
ejpam-5822	610	2	7.89×10−145	7.89×10−145	NUM
ejpam-5822	610	3	15.86	15.86	NUM
ejpam-5822	610	4	cm-2	cm-2	NOUN
ejpam-5822	611	1	7.23×10−2	7.23×10−2	NUM
ejpam-5822	611	2	2.57×10−8	2.57×10−8	NUM
ejpam-5822	611	3	2.78×10−109	2.78×10−109	NUM
ejpam-5822	611	4	15.65	15.65	NUM
ejpam-5822	611	5	cm-3	cm-3	NOUN
ejpam-5822	611	6	7.23×10−2	7.23×10−2	NUM
ejpam-5822	611	7	1.42×10−11	1.42×10−11	NUM
ejpam-5822	611	8	2.32×10−166	2.32×10−166	NUM
ejpam-5822	611	9	15.94	15.94	NUM
ejpam-5822	611	10	cm-4	cm-4	NUM
ejpam-5822	611	11	1.23×10−15	1.23×10−15	NUM
ejpam-5822	612	1	1.21×10−230	1.21×10−230	NUM
ejpam-5822	612	2	0	0	PUNCT
ejpam-5822	612	3	d	d	NOUN
ejpam-5822	612	4	cm-5	cm-5	ADP
ejpam-5822	612	5	5.16×10−14	5.16×10−14	NUM
ejpam-5822	612	6	5.41×10−202	5.41×10−202	NUM
ejpam-5822	612	7	0	0	PUNCT
ejpam-5822	613	1	d	d	NOUN
ejpam-5822	613	2	table	table	NOUN
ejpam-5822	613	3	3	3	NUM
ejpam-5822	613	4	presents	present	VERB
ejpam-5822	613	5	the	the	DET
ejpam-5822	613	6	results	result	NOUN
ejpam-5822	613	7	for	for	ADP
ejpam-5822	613	8	g3(k	g3(k	NOUN
ejpam-5822	613	9	)	)	PUNCT
ejpam-5822	613	10	with	with	ADP
ejpam-5822	613	11	k∗	k∗	NOUN
ejpam-5822	613	12	=	=	PUNCT
ejpam-5822	613	13	0.5	0.5	NUM
ejpam-5822	613	14	.	.	PUNCT
ejpam-5822	614	1	the	the	DET
ejpam-5822	614	2	proposed	propose	VERB
ejpam-5822	614	3	methods	method	NOUN
ejpam-5822	614	4	,	,	PUNCT
ejpam-5822	614	5	sfhm-1	sfhm-1	NUM
ejpam-5822	614	6	and	and	CCONJ
ejpam-5822	614	7	sfhm-2	sfhm-2	PROPN
ejpam-5822	614	8	demonstrating	demonstrate	VERB
ejpam-5822	614	9	strong	strong	ADJ
ejpam-5822	614	10	and	and	CCONJ
ejpam-5822	614	11	reliable	reliable	ADJ
ejpam-5822	614	12	performance	performance	NOUN
ejpam-5822	614	13	.	.	PUNCT
ejpam-5822	615	1	among	among	ADP
ejpam-5822	615	2	the	the	DET
ejpam-5822	615	3	previously	previously	ADV
ejpam-5822	615	4	proposed	propose	VERB
ejpam-5822	615	5	methods	method	NOUN
ejpam-5822	615	6	,	,	PUNCT
ejpam-5822	615	7	cm-1	cm-1	PUNCT
ejpam-5822	615	8	and	and	CCONJ
ejpam-5822	615	9	cm-3	cm-3	ADV
ejpam-5822	615	10	also	also	ADV
ejpam-5822	615	11	deliver	deliver	VERB
ejpam-5822	615	12	comparable	comparable	ADJ
ejpam-5822	615	13	results	result	NOUN
ejpam-5822	615	14	with	with	ADP
ejpam-5822	615	15	coc	coc	ADJ
ejpam-5822	615	16	values	value	NOUN
ejpam-5822	615	17	but	but	CCONJ
ejpam-5822	615	18	slower	slow	ADJ
ejpam-5822	615	19	in	in	ADP
ejpam-5822	615	20	terms	term	NOUN
ejpam-5822	615	21	of	of	ADP
ejpam-5822	615	22	error	error	NOUN
ejpam-5822	615	23	reduction	reduction	NOUN
ejpam-5822	615	24	.	.	PUNCT
ejpam-5822	616	1	however	however	ADV
ejpam-5822	616	2	,	,	PUNCT
ejpam-5822	616	3	cm-2	cm-2	NOUN
ejpam-5822	616	4	exhibits	exhibit	VERB
ejpam-5822	616	5	a	a	DET
ejpam-5822	616	6	slightly	slightly	ADV
ejpam-5822	616	7	lower	low	ADJ
ejpam-5822	616	8	coc	coc	NOUN
ejpam-5822	616	9	of	of	ADP
ejpam-5822	616	10	15.09	15.09	NUM
ejpam-5822	616	11	,	,	PUNCT
ejpam-5822	616	12	indicating	indicate	VERB
ejpam-5822	616	13	reduced	reduced	ADJ
ejpam-5822	616	14	efficiency	efficiency	NOUN
ejpam-5822	616	15	in	in	ADP
ejpam-5822	616	16	this	this	DET
ejpam-5822	616	17	case	case	NOUN
ejpam-5822	616	18	.	.	PUNCT
ejpam-5822	617	1	the	the	DET
ejpam-5822	617	2	methods	method	NOUN
ejpam-5822	617	3	cm-4	cm-4	X
ejpam-5822	617	4	and	and	CCONJ
ejpam-5822	617	5	cm-5	cm-5	AUX
ejpam-5822	617	6	fail	fail	VERB
ejpam-5822	617	7	to	to	PART
ejpam-5822	617	8	converge	converge	VERB
ejpam-5822	617	9	,	,	PUNCT
ejpam-5822	617	10	as	as	SCONJ
ejpam-5822	617	11	shown	show	VERB
ejpam-5822	617	12	by	by	ADP
ejpam-5822	617	13	their	their	PRON
ejpam-5822	617	14	divergence	divergence	NOUN
ejpam-5822	617	15	behavior	behavior	NOUN
ejpam-5822	617	16	.	.	PUNCT
ejpam-5822	618	1	this	this	PRON
ejpam-5822	618	2	highlights	highlight	VERB
ejpam-5822	618	3	their	their	PRON
ejpam-5822	618	4	inability	inability	NOUN
ejpam-5822	618	5	to	to	PART
ejpam-5822	618	6	handle	handle	VERB
ejpam-5822	618	7	the	the	DET
ejpam-5822	618	8	nonlinearity	nonlinearity	NOUN
ejpam-5822	618	9	of	of	ADP
ejpam-5822	618	10	this	this	DET
ejpam-5822	618	11	example	example	NOUN
ejpam-5822	618	12	effectively	effectively	ADV
ejpam-5822	618	13	.	.	PUNCT
ejpam-5822	619	1	the	the	DET
ejpam-5822	619	2	results	result	NOUN
ejpam-5822	619	3	reaffirm	reaffirm	VERB
ejpam-5822	619	4	the	the	DET
ejpam-5822	619	5	superior	superior	ADJ
ejpam-5822	619	6	performance	performance	NOUN
ejpam-5822	619	7	and	and	CCONJ
ejpam-5822	619	8	reliability	reliability	NOUN
ejpam-5822	619	9	of	of	ADP
ejpam-5822	619	10	the	the	DET
ejpam-5822	619	11	proposed	propose	VERB
ejpam-5822	619	12	methods	method	NOUN
ejpam-5822	619	13	,	,	PUNCT
ejpam-5822	619	14	sfhm-1	sfhm-1	NUM
ejpam-5822	619	15	and	and	CCONJ
ejpam-5822	619	16	sfhm-2	sfhm-2	PROPN
ejpam-5822	619	17	,	,	PUNCT
ejpam-5822	619	18	for	for	ADP
ejpam-5822	619	19	this	this	DET
ejpam-5822	619	20	nonlinear	nonlinear	ADJ
ejpam-5822	619	21	equation	equation	NOUN
ejpam-5822	619	22	while	while	SCONJ
ejpam-5822	619	23	also	also	ADV
ejpam-5822	619	24	pointing	point	VERB
ejpam-5822	619	25	out	out	ADP
ejpam-5822	619	26	limitations	limitation	NOUN
ejpam-5822	619	27	in	in	ADP
ejpam-5822	619	28	some	some	PRON
ejpam-5822	619	29	of	of	ADP
ejpam-5822	619	30	the	the	DET
ejpam-5822	619	31	compared	compare	VERB
ejpam-5822	619	32	schemes	scheme	NOUN
ejpam-5822	619	33	.	.	PUNCT
ejpam-5822	620	1	s.	s.	PROPN
ejpam-5822	620	2	akram	akram	PROPN
ejpam-5822	620	3	et	et	PROPN
ejpam-5822	620	4	al	al	PROPN
ejpam-5822	620	5	.	.	PUNCT
ejpam-5822	620	6	/	/	SYM
ejpam-5822	620	7	eur	eur	PROPN
ejpam-5822	620	8	.	.	PUNCT
ejpam-5822	621	1	j.	j.	PROPN
ejpam-5822	621	2	pure	pure	PROPN
ejpam-5822	621	3	appl	appl	PROPN
ejpam-5822	621	4	.	.	PROPN
ejpam-5822	621	5	math	math	PROPN
ejpam-5822	621	6	,	,	PUNCT
ejpam-5822	621	7	18	18	NUM
ejpam-5822	621	8	(	(	PUNCT
ejpam-5822	621	9	2	2	NUM
ejpam-5822	621	10	)	)	PUNCT
ejpam-5822	621	11	(	(	PUNCT
ejpam-5822	621	12	2025	2025	NUM
ejpam-5822	621	13	)	)	PUNCT
ejpam-5822	621	14	,	,	PUNCT
ejpam-5822	621	15	5822	5822	NUM
ejpam-5822	621	16	17	17	NUM
ejpam-5822	621	17	of	of	ADP
ejpam-5822	621	18	26	26	NUM
ejpam-5822	621	19	example	example	NOUN
ejpam-5822	621	20	4	4	NUM
ejpam-5822	621	21	.	.	PUNCT
ejpam-5822	622	1	we	we	PRON
ejpam-5822	622	2	now	now	ADV
ejpam-5822	622	3	consider	consider	VERB
ejpam-5822	622	4	a	a	DET
ejpam-5822	622	5	different	different	ADJ
ejpam-5822	622	6	nonlinear	nonlinear	ADJ
ejpam-5822	622	7	test	test	NOUN
ejpam-5822	622	8	function	function	NOUN
ejpam-5822	622	9	to	to	PART
ejpam-5822	622	10	be	be	AUX
ejpam-5822	622	11	:	:	PUNCT
ejpam-5822	622	12	g4(k	g4(k	X
ejpam-5822	622	13	)	)	PUNCT
ejpam-5822	622	14	=	=	SYM
ejpam-5822	622	15	(	(	PUNCT
ejpam-5822	622	16	k+2)ek	k+2)ek	NOUN
ejpam-5822	622	17	−1	−1	NOUN
ejpam-5822	622	18	.	.	PUNCT
ejpam-5822	623	1	(	(	PUNCT
ejpam-5822	623	2	49	49	NUM
ejpam-5822	623	3	)	)	PUNCT
ejpam-5822	623	4	the	the	DET
ejpam-5822	623	5	nonlinear	nonlinear	ADJ
ejpam-5822	623	6	function	function	NOUN
ejpam-5822	623	7	g4(k	g4(k	PROPN
ejpam-5822	623	8	)	)	PUNCT
ejpam-5822	623	9	exhibits	exhibit	VERB
ejpam-5822	623	10	an	an	DET
ejpam-5822	623	11	exact	exact	ADJ
ejpam-5822	623	12	root	root	NOUN
ejpam-5822	623	13	of	of	ADP
ejpam-5822	623	14	γ	γ	X
ejpam-5822	623	15	=	=	SYM
ejpam-5822	623	16	−0.4428544010023	−0.4428544010023	NUM
ejpam-5822	623	17	·	·	PUNCT
ejpam-5822	623	18	·	·	PUNCT
ejpam-5822	623	19	·	·	PUNCT
ejpam-5822	623	20	.	.	PUNCT
ejpam-5822	624	1	and	and	CCONJ
ejpam-5822	624	2	k∗	k∗	PROPN
ejpam-5822	625	1	=	=	PUNCT
ejpam-5822	626	1	−0.41	−0.41	NOUN
ejpam-5822	626	2	is	be	AUX
ejpam-5822	626	3	our	our	PRON
ejpam-5822	626	4	first	first	ADJ
ejpam-5822	626	5	approximation	approximation	NOUN
ejpam-5822	626	6	.	.	PUNCT
ejpam-5822	627	1	table	table	NOUN
ejpam-5822	627	2	4	4	NUM
ejpam-5822	627	3	displays	display	VERB
ejpam-5822	627	4	the	the	DET
ejpam-5822	627	5	comparison	comparison	NOUN
ejpam-5822	627	6	findings	finding	NOUN
ejpam-5822	627	7	of	of	ADP
ejpam-5822	627	8	g4(k	g4(k	PROPN
ejpam-5822	627	9	)	)	PUNCT
ejpam-5822	627	10	.	.	PUNCT
ejpam-5822	628	1	in	in	ADP
ejpam-5822	628	2	terms	term	NOUN
ejpam-5822	628	3	table	table	VERB
ejpam-5822	628	4	4	4	NUM
ejpam-5822	628	5	:	:	PUNCT
ejpam-5822	628	6	convergence	convergence	NOUN
ejpam-5822	628	7	analysis	analysis	NOUN
ejpam-5822	628	8	for	for	ADP
ejpam-5822	628	9	g4(k	g4(k	SYM
ejpam-5822	628	10	)	)	PUNCT
ejpam-5822	628	11	g4(k	g4(k	PROPN
ejpam-5822	628	12	)	)	PUNCT
ejpam-5822	629	1	=	=	PRON
ejpam-5822	629	2	(	(	PUNCT
ejpam-5822	629	3	k+2)ek	k+2)ek	PROPN
ejpam-5822	629	4	−1	−1	NOUN
ejpam-5822	629	5	,	,	PUNCT
ejpam-5822	629	6	k∗	k∗	PROPN
ejpam-5822	629	7	=	=	NUM
ejpam-5822	630	1	−0.41	−0.41	NOUN
ejpam-5822	630	2	methods	method	NOUN
ejpam-5822	630	3	|k2	|k2	NOUN
ejpam-5822	630	4	−	−	PROPN
ejpam-5822	631	1	k1|	k1|	PROPN
ejpam-5822	631	2	|k3	|k3	NOUN
ejpam-5822	631	3	−	−	ADP
ejpam-5822	631	4	k2|	k2|	X
ejpam-5822	631	5	|k4	|k4	NOUN
ejpam-5822	631	6	−	−	PROPN
ejpam-5822	631	7	k3|	k3|	NOUN
ejpam-5822	631	8	coc	coc	NOUN
ejpam-5822	631	9	sfhm-1	sfhm-1	PROPN
ejpam-5822	631	10	3.28×10−2	3.28×10−2	NUM
ejpam-5822	631	11	2.73×10−27	2.73×10−27	NUM
ejpam-5822	632	1	1.69×10−428	1.69×10−428	NUM
ejpam-5822	632	2	15.99	15.99	NUM
ejpam-5822	632	3	sfhm-2	sfhm-2	NOUN
ejpam-5822	632	4	3.28×10−2	3.28×10−2	NUM
ejpam-5822	632	5	7.54×10−28	7.54×10−28	ADJ
ejpam-5822	632	6	5.94×10−438	5.94×10−438	NUM
ejpam-5822	632	7	15.99	15.99	NUM
ejpam-5822	632	8	cm-1	cm-1	NOUN
ejpam-5822	633	1	3.28×10−2	3.28×10−2	NUM
ejpam-5822	633	2	2.56×10−26	2.56×10−26	NUM
ejpam-5822	633	3	5.73×10−412	5.73×10−412	PROPN
ejpam-5822	633	4	15.99	15.99	NUM
ejpam-5822	633	5	cm-2	cm-2	NOUN
ejpam-5822	633	6	3.28×10−2	3.28×10−2	NUM
ejpam-5822	633	7	4.87×10−24	4.87×10−24	NUM
ejpam-5822	633	8	2.70×10−372	2.70×10−372	NUM
ejpam-5822	633	9	15.95	15.95	NUM
ejpam-5822	633	10	cm-3	cm-3	NOUN
ejpam-5822	633	11	3.28×10−2	3.28×10−2	NUM
ejpam-5822	633	12	4.05×10−28	4.05×10−28	NUM
ejpam-5822	634	1	d	d	NOUN
ejpam-5822	634	2	d	d	NOUN
ejpam-5822	634	3	cm-4	cm-4	NOUN
ejpam-5822	634	4	3.02×10−26	3.02×10−26	NUM
ejpam-5822	635	1	4.26×10−411	4.26×10−411	NUM
ejpam-5822	635	2	2.00×10−2000	2.00×10−2000	NUM
ejpam-5822	635	3	4.12	4.12	NUM
ejpam-5822	635	4	cm-5	cm-5	ADP
ejpam-5822	635	5	9.15×10−25	9.15×10−25	NUM
ejpam-5822	635	6	1.62×10−385	1.62×10−385	NUM
ejpam-5822	635	7	1.00×10−2000	1.00×10−2000	NUM
ejpam-5822	635	8	4.47	4.47	NUM
ejpam-5822	635	9	of	of	ADP
ejpam-5822	635	10	computational	computational	ADJ
ejpam-5822	635	11	order	order	NOUN
ejpam-5822	635	12	of	of	ADP
ejpam-5822	635	13	convergence	convergence	NOUN
ejpam-5822	635	14	and	and	CCONJ
ejpam-5822	635	15	the	the	DET
ejpam-5822	635	16	error	error	NOUN
ejpam-5822	635	17	between	between	ADP
ejpam-5822	635	18	two	two	NUM
ejpam-5822	635	19	consecutive	consecutive	ADJ
ejpam-5822	635	20	iterations	iteration	NOUN
ejpam-5822	635	21	,	,	PUNCT
ejpam-5822	635	22	table	table	NOUN
ejpam-5822	635	23	4	4	NUM
ejpam-5822	635	24	demonstrates	demonstrate	VERB
ejpam-5822	635	25	that	that	SCONJ
ejpam-5822	635	26	the	the	DET
ejpam-5822	635	27	suggested	suggest	VERB
ejpam-5822	635	28	schemes	scheme	NOUN
ejpam-5822	635	29	sfhm-1	sfhm-1	NUM
ejpam-5822	635	30	and	and	CCONJ
ejpam-5822	635	31	sfhm-2	sfhm-2	PROPN
ejpam-5822	635	32	exhibit	exhibit	VERB
ejpam-5822	635	33	superior	superior	ADJ
ejpam-5822	635	34	performance	performance	NOUN
ejpam-5822	635	35	compared	compare	VERB
ejpam-5822	635	36	to	to	ADP
ejpam-5822	635	37	the	the	DET
ejpam-5822	635	38	other	other	ADJ
ejpam-5822	635	39	approaches	approach	NOUN
ejpam-5822	635	40	presented	present	VERB
ejpam-5822	635	41	for	for	ADP
ejpam-5822	635	42	comparison	comparison	NOUN
ejpam-5822	635	43	.	.	PUNCT
ejpam-5822	636	1	in	in	ADP
ejpam-5822	636	2	contrast	contrast	NOUN
ejpam-5822	636	3	,	,	PUNCT
ejpam-5822	636	4	the	the	DET
ejpam-5822	636	5	methods	method	NOUN
ejpam-5822	636	6	cm-1	cm-1	NOUN
ejpam-5822	636	7	,	,	PUNCT
ejpam-5822	636	8	cm-2	cm-2	NOUN
ejpam-5822	636	9	,	,	PUNCT
ejpam-5822	636	10	and	and	CCONJ
ejpam-5822	636	11	cm-3	cm-3	ADV
ejpam-5822	636	12	show	show	VERB
ejpam-5822	636	13	relatively	relatively	ADV
ejpam-5822	636	14	weaker	weak	ADJ
ejpam-5822	636	15	outcomes	outcome	NOUN
ejpam-5822	636	16	,	,	PUNCT
ejpam-5822	636	17	with	with	ADP
ejpam-5822	636	18	cm-3	cm-3	NOUN
ejpam-5822	636	19	even	even	ADV
ejpam-5822	636	20	displaying	display	VERB
ejpam-5822	636	21	divergence	divergence	NOUN
ejpam-5822	636	22	.	.	PUNCT
ejpam-5822	637	1	furthermore	furthermore	ADV
ejpam-5822	637	2	,	,	PUNCT
ejpam-5822	637	3	while	while	SCONJ
ejpam-5822	637	4	cm-4	cm-4	NUM
ejpam-5822	637	5	and	and	CCONJ
ejpam-5822	637	6	cm-5	cm-5	AUX
ejpam-5822	637	7	achieve	achieve	VERB
ejpam-5822	637	8	convergence	convergence	NOUN
ejpam-5822	637	9	,	,	PUNCT
ejpam-5822	637	10	their	their	PRON
ejpam-5822	637	11	computational	computational	ADJ
ejpam-5822	637	12	orders	order	NOUN
ejpam-5822	637	13	of	of	ADP
ejpam-5822	637	14	convergence	convergence	NOUN
ejpam-5822	637	15	remain	remain	VERB
ejpam-5822	637	16	lower	low	ADJ
ejpam-5822	637	17	than	than	ADP
ejpam-5822	637	18	those	those	PRON
ejpam-5822	637	19	of	of	ADP
ejpam-5822	637	20	the	the	DET
ejpam-5822	637	21	proposed	propose	VERB
ejpam-5822	637	22	schemes	scheme	NOUN
ejpam-5822	637	23	.	.	PUNCT
ejpam-5822	638	1	example	example	NOUN
ejpam-5822	638	2	5	5	NUM
ejpam-5822	638	3	.	.	PUNCT
ejpam-5822	638	4	neural	neural	ADJ
ejpam-5822	638	5	activation	activation	NOUN
ejpam-5822	638	6	in	in	ADP
ejpam-5822	638	7	response	response	NOUN
ejpam-5822	638	8	to	to	ADP
ejpam-5822	638	9	complex	complex	ADJ
ejpam-5822	638	10	stimuli	stimuli	VERB
ejpam-5822	638	11	the	the	DET
ejpam-5822	638	12	nonlinear	nonlinear	ADJ
ejpam-5822	638	13	equation	equation	NOUN
ejpam-5822	638	14	:	:	PUNCT
ejpam-5822	638	15	g5(k	g5(k	X
ejpam-5822	638	16	)	)	PUNCT
ejpam-5822	638	17	=	=	PUNCT
ejpam-5822	638	18	sin(2cos(k))−1−	sin(2cos(k))−1−	VERB
ejpam-5822	638	19	k2	k2	PROPN
ejpam-5822	638	20	+	+	CCONJ
ejpam-5822	638	21	esink3	esink3	ADJ
ejpam-5822	638	22	.	.	PUNCT
ejpam-5822	639	1	(	(	PUNCT
ejpam-5822	639	2	50	50	NUM
ejpam-5822	639	3	)	)	PUNCT
ejpam-5822	639	4	represents	represent	VERB
ejpam-5822	639	5	the	the	DET
ejpam-5822	639	6	activation	activation	NOUN
ejpam-5822	639	7	response	response	NOUN
ejpam-5822	639	8	of	of	ADP
ejpam-5822	639	9	a	a	DET
ejpam-5822	639	10	neural	neural	ADJ
ejpam-5822	639	11	circuit	circuit	NOUN
ejpam-5822	639	12	to	to	ADP
ejpam-5822	639	13	varying	vary	VERB
ejpam-5822	639	14	intensities	intensity	NOUN
ejpam-5822	639	15	or	or	CCONJ
ejpam-5822	639	16	complexities	complexity	NOUN
ejpam-5822	639	17	of	of	ADP
ejpam-5822	639	18	external	external	ADJ
ejpam-5822	639	19	stimuli	stimulus	NOUN
ejpam-5822	639	20	,	,	PUNCT
ejpam-5822	639	21	where	where	SCONJ
ejpam-5822	639	22	k	k	PROPN
ejpam-5822	639	23	represents	represent	VERB
ejpam-5822	639	24	the	the	DET
ejpam-5822	639	25	stimulus	stimulus	ADJ
ejpam-5822	639	26	intensity	intensity	NOUN
ejpam-5822	639	27	or	or	CCONJ
ejpam-5822	639	28	frequency	frequency	NOUN
ejpam-5822	639	29	.	.	PUNCT
ejpam-5822	640	1	in	in	ADP
ejpam-5822	640	2	neuroscience	neuroscience	NOUN
ejpam-5822	640	3	,	,	PUNCT
ejpam-5822	640	4	neurons	neuron	NOUN
ejpam-5822	640	5	or	or	CCONJ
ejpam-5822	640	6	neural	neural	ADJ
ejpam-5822	640	7	networks	network	NOUN
ejpam-5822	640	8	often	often	ADV
ejpam-5822	640	9	respond	respond	VERB
ejpam-5822	640	10	to	to	ADP
ejpam-5822	640	11	external	external	ADJ
ejpam-5822	640	12	stimuli	stimulus	NOUN
ejpam-5822	640	13	in	in	ADP
ejpam-5822	640	14	a	a	DET
ejpam-5822	640	15	complex	complex	ADJ
ejpam-5822	640	16	,	,	PUNCT
ejpam-5822	640	17	nonlinear	nonlinear	ADJ
ejpam-5822	640	18	fashion	fashion	NOUN
ejpam-5822	640	19	.	.	PUNCT
ejpam-5822	641	1	sensory	sensory	ADJ
ejpam-5822	641	2	processing	processing	NOUN
ejpam-5822	641	3	in	in	ADP
ejpam-5822	641	4	the	the	DET
ejpam-5822	641	5	brain	brain	NOUN
ejpam-5822	641	6	,	,	PUNCT
ejpam-5822	641	7	such	such	ADJ
ejpam-5822	641	8	as	as	ADP
ejpam-5822	641	9	auditory	auditory	ADJ
ejpam-5822	641	10	or	or	CCONJ
ejpam-5822	641	11	visual	visual	ADJ
ejpam-5822	641	12	inputs	input	NOUN
ejpam-5822	641	13	,	,	PUNCT
ejpam-5822	641	14	may	may	AUX
ejpam-5822	641	15	elicit	elicit	VERB
ejpam-5822	641	16	responses	response	NOUN
ejpam-5822	641	17	influenced	influence	VERB
ejpam-5822	641	18	by	by	ADP
ejpam-5822	641	19	multiple	multiple	ADJ
ejpam-5822	641	20	factors	factor	NOUN
ejpam-5822	641	21	,	,	PUNCT
ejpam-5822	641	22	including	include	VERB
ejpam-5822	641	23	the	the	DET
ejpam-5822	641	24	frequency	frequency	NOUN
ejpam-5822	641	25	,	,	PUNCT
ejpam-5822	641	26	amplitude	amplitude	NOUN
ejpam-5822	641	27	,	,	PUNCT
ejpam-5822	641	28	and	and	CCONJ
ejpam-5822	641	29	complexity	complexity	NOUN
ejpam-5822	641	30	of	of	ADP
ejpam-5822	641	31	the	the	DET
ejpam-5822	641	32	stimulus	stimulus	NOUN
ejpam-5822	641	33	[	[	X
ejpam-5822	641	34	34	34	NUM
ejpam-5822	641	35	]	]	PUNCT
ejpam-5822	641	36	.	.	PUNCT
ejpam-5822	642	1	this	this	DET
ejpam-5822	642	2	model	model	NOUN
ejpam-5822	642	3	can	can	AUX
ejpam-5822	642	4	be	be	AUX
ejpam-5822	642	5	applied	apply	VERB
ejpam-5822	642	6	to	to	ADP
ejpam-5822	642	7	studying	study	VERB
ejpam-5822	642	8	sensory	sensory	ADJ
ejpam-5822	642	9	processing	processing	NOUN
ejpam-5822	642	10	,	,	PUNCT
ejpam-5822	642	11	especially	especially	ADV
ejpam-5822	642	12	in	in	ADP
ejpam-5822	642	13	response	response	NOUN
ejpam-5822	642	14	to	to	ADP
ejpam-5822	642	15	oscillatory	oscillatory	ADJ
ejpam-5822	642	16	or	or	CCONJ
ejpam-5822	642	17	periodic	periodic	ADJ
ejpam-5822	642	18	stimuli	stimulus	NOUN
ejpam-5822	642	19	,	,	PUNCT
ejpam-5822	642	20	where	where	SCONJ
ejpam-5822	642	21	nonlinearities	nonlinearitie	NOUN
ejpam-5822	642	22	play	play	VERB
ejpam-5822	642	23	a	a	DET
ejpam-5822	642	24	critical	critical	ADJ
ejpam-5822	642	25	role	role	NOUN
ejpam-5822	642	26	in	in	ADP
ejpam-5822	642	27	signal	signal	ADJ
ejpam-5822	642	28	processing	processing	NOUN
ejpam-5822	642	29	and	and	CCONJ
ejpam-5822	642	30	perception	perception	NOUN
ejpam-5822	642	31	.	.	PUNCT
ejpam-5822	643	1	we	we	PRON
ejpam-5822	643	2	choose	choose	VERB
ejpam-5822	643	3	γ	γ	NOUN
ejpam-5822	643	4	=	=	SYM
ejpam-5822	643	5	−0.7848959	−0.7848959	NOUN
ejpam-5822	643	6	·	·	PUNCT
ejpam-5822	643	7	·	·	PUNCT
ejpam-5822	643	8	·	·	PUNCT
ejpam-5822	643	9	as	as	ADP
ejpam-5822	643	10	the	the	DET
ejpam-5822	643	11	root	root	NOUN
ejpam-5822	643	12	for	for	ADP
ejpam-5822	643	13	the	the	DET
ejpam-5822	643	14	function	function	NOUN
ejpam-5822	643	15	g5(k	g5(k	NOUN
ejpam-5822	643	16	)	)	PUNCT
ejpam-5822	643	17	,	,	PUNCT
ejpam-5822	643	18	and	and	CCONJ
ejpam-5822	643	19	the	the	DET
ejpam-5822	643	20	appropriate	appropriate	ADJ
ejpam-5822	643	21	starting	starting	NOUN
ejpam-5822	643	22	approximation	approximation	NOUN
ejpam-5822	643	23	is	be	AUX
ejpam-5822	643	24	k∗	k∗	PROPN
ejpam-5822	643	25	=	=	SYM
ejpam-5822	643	26	−0.7	−0.7	PROPN
ejpam-5822	643	27	.	.	PUNCT
ejpam-5822	644	1	table	table	NOUN
ejpam-5822	644	2	5	5	NUM
ejpam-5822	644	3	lists	list	VERB
ejpam-5822	644	4	the	the	DET
ejpam-5822	644	5	comparative	comparative	ADJ
ejpam-5822	644	6	results	result	NOUN
ejpam-5822	644	7	for	for	ADP
ejpam-5822	644	8	test	test	NOUN
ejpam-5822	644	9	function	function	NOUN
ejpam-5822	644	10	g5(k	g5(k	NOUN
ejpam-5822	644	11	)	)	PUNCT
ejpam-5822	644	12	.	.	PUNCT
ejpam-5822	645	1	table	table	NOUN
ejpam-5822	645	2	5	5	NUM
ejpam-5822	645	3	demonstrates	demonstrate	VERB
ejpam-5822	645	4	that	that	SCONJ
ejpam-5822	645	5	the	the	DET
ejpam-5822	645	6	suggested	suggest	VERB
ejpam-5822	645	7	techniques	technique	NOUN
ejpam-5822	645	8	sfhm-1	sfhm-1	NUM
ejpam-5822	645	9	and	and	CCONJ
ejpam-5822	645	10	sfhm-2	sfhm-2	PROPN
ejpam-5822	645	11	are	be	AUX
ejpam-5822	645	12	not	not	PART
ejpam-5822	645	13	only	only	ADV
ejpam-5822	645	14	convergent	convergent	NOUN
ejpam-5822	645	15	but	but	CCONJ
ejpam-5822	645	16	also	also	ADV
ejpam-5822	645	17	more	more	ADV
ejpam-5822	645	18	efficient	efficient	ADJ
ejpam-5822	645	19	computationally	computationally	ADV
ejpam-5822	645	20	than	than	ADP
ejpam-5822	645	21	the	the	DET
ejpam-5822	645	22	existing	exist	VERB
ejpam-5822	645	23	approaches	approach	NOUN
ejpam-5822	645	24	cm-21	cm-21	NOUN
ejpam-5822	645	25	-	-	PUNCT
ejpam-5822	645	26	cm-3	cm-3	NOUN
ejpam-5822	645	27	in	in	ADP
ejpam-5822	645	28	terms	term	NOUN
ejpam-5822	645	29	of	of	ADP
ejpam-5822	645	30	error	error	NOUN
ejpam-5822	645	31	of	of	ADP
ejpam-5822	645	32	successive	successive	ADJ
ejpam-5822	645	33	iteration	iteration	NOUN
ejpam-5822	645	34	for	for	ADP
ejpam-5822	645	35	the	the	DET
ejpam-5822	645	36	test	test	NOUN
ejpam-5822	645	37	function	function	NOUN
ejpam-5822	645	38	g5(k	g5(k	NOUN
ejpam-5822	645	39	)	)	PUNCT
ejpam-5822	645	40	.	.	PUNCT
ejpam-5822	646	1	also	also	ADV
ejpam-5822	646	2	,	,	PUNCT
ejpam-5822	646	3	the	the	DET
ejpam-5822	646	4	methods	method	NOUN
ejpam-5822	646	5	cm-21	cm-21	X
ejpam-5822	646	6	and	and	CCONJ
ejpam-5822	646	7	cm-3	cm-3	ADV
ejpam-5822	646	8	exhibit	exhibit	VERB
ejpam-5822	646	9	zero	zero	NUM
ejpam-5822	646	10	computational	computational	ADJ
ejpam-5822	646	11	convergence	convergence	NOUN
ejpam-5822	646	12	order	order	NOUN
ejpam-5822	646	13	.	.	PUNCT
ejpam-5822	647	1	s.	s.	PROPN
ejpam-5822	647	2	akram	akram	PROPN
ejpam-5822	647	3	et	et	PROPN
ejpam-5822	647	4	al	al	PROPN
ejpam-5822	647	5	.	.	PUNCT
ejpam-5822	647	6	/	/	SYM
ejpam-5822	647	7	eur	eur	PROPN
ejpam-5822	647	8	.	.	PUNCT
ejpam-5822	648	1	j.	j.	PROPN
ejpam-5822	648	2	pure	pure	PROPN
ejpam-5822	648	3	appl	appl	PROPN
ejpam-5822	648	4	.	.	PROPN
ejpam-5822	648	5	math	math	PROPN
ejpam-5822	648	6	,	,	PUNCT
ejpam-5822	648	7	18	18	NUM
ejpam-5822	648	8	(	(	PUNCT
ejpam-5822	648	9	2	2	NUM
ejpam-5822	648	10	)	)	PUNCT
ejpam-5822	648	11	(	(	PUNCT
ejpam-5822	648	12	2025	2025	NUM
ejpam-5822	648	13	)	)	PUNCT
ejpam-5822	648	14	,	,	PUNCT
ejpam-5822	648	15	5822	5822	NUM
ejpam-5822	648	16	18	18	NUM
ejpam-5822	648	17	of	of	ADP
ejpam-5822	648	18	26	26	NUM
ejpam-5822	648	19	table	table	NOUN
ejpam-5822	648	20	5	5	NUM
ejpam-5822	648	21	:	:	PUNCT
ejpam-5822	648	22	convergence	convergence	NOUN
ejpam-5822	648	23	analysis	analysis	NOUN
ejpam-5822	648	24	for	for	ADP
ejpam-5822	648	25	g5(k	g5(k	NOUN
ejpam-5822	648	26	)	)	PUNCT
ejpam-5822	648	27	g5(k	g5(k	PROPN
ejpam-5822	648	28	)	)	PUNCT
ejpam-5822	648	29	=	=	PUNCT
ejpam-5822	648	30	sin(2cos(k))−1−	sin(2cos(k))−1−	VERB
ejpam-5822	648	31	k2	k2	PROPN
ejpam-5822	648	32	+	+	CCONJ
ejpam-5822	648	33	esin(k3	esin(k3	NOUN
ejpam-5822	648	34	)	)	PUNCT
ejpam-5822	648	35	,	,	PUNCT
ejpam-5822	648	36	k∗	k∗	PROPN
ejpam-5822	648	37	=	=	SYM
ejpam-5822	648	38	−0.7	−0.7	PROPN
ejpam-5822	648	39	methods	method	NOUN
ejpam-5822	648	40	|k2	|k2	NOUN
ejpam-5822	648	41	−	−	PROPN
ejpam-5822	649	1	k1|	k1|	PROPN
ejpam-5822	649	2	|k3	|k3	NOUN
ejpam-5822	649	3	−	−	ADP
ejpam-5822	649	4	k2|	k2|	X
ejpam-5822	649	5	|k4	|k4	NOUN
ejpam-5822	649	6	−	−	PROPN
ejpam-5822	649	7	k3|	k3|	NOUN
ejpam-5822	649	8	coc	coc	PROPN
ejpam-5822	649	9	sfhm-1	sfhm-1	PROPN
ejpam-5822	649	10	8.48×10−2	8.48×10−2	NUM
ejpam-5822	649	11	3.04×10−19	3.04×10−19	NUM
ejpam-5822	649	12	5.96×10−297	5.96×10−297	NUM
ejpam-5822	649	13	15.91	15.91	NUM
ejpam-5822	649	14	sfhm-2	sfhm-2	NOUN
ejpam-5822	649	15	8.48×10−2	8.48×10−2	NUM
ejpam-5822	649	16	1.80×10−16	1.80×10−16	NUM
ejpam-5822	650	1	5.11×10−252	5.11×10−252	NUM
ejpam-5822	650	2	16.05	16.05	NUM
ejpam-5822	650	3	cm-1	cm-1	NOUN
ejpam-5822	650	4	8.48×10−2	8.48×10−2	NUM
ejpam-5822	650	5	6.51×10−17	6.51×10−17	NUM
ejpam-5822	650	6	1.54×10−259	1.54×10−259	NUM
ejpam-5822	650	7	16.00	16.00	NUM
ejpam-5822	650	8	cm-2	cm-2	NOUN
ejpam-5822	650	9	8.48×10−2	8.48×10−2	NUM
ejpam-5822	650	10	2.09×10−13	2.09×10−13	NUM
ejpam-5822	650	11	6.21×10−205	6.21×10−205	NUM
ejpam-5822	650	12	16.01	16.01	NUM
ejpam-5822	650	13	cm-3	cm-3	NOUN
ejpam-5822	650	14	8.48×10−2	8.48×10−2	NUM
ejpam-5822	651	1	5.13×10−19	5.13×10−19	NUM
ejpam-5822	651	2	6.98×10−295	6.98×10−295	NUM
ejpam-5822	651	3	16.02	16.02	NUM
ejpam-5822	651	4	cm-4	cm-4	NUM
ejpam-5822	651	5	1.63×10−15	1.63×10−15	NUM
ejpam-5822	651	6	1.62×10−51	1.62×10−51	NUM
ejpam-5822	651	7	1.62×10−51	1.62×10−51	NUM
ejpam-5822	651	8	0	0	NUM
ejpam-5822	651	9	cm-5	cm-5	ADP
ejpam-5822	651	10	1.63×10−15	1.63×10−15	NUM
ejpam-5822	651	11	1.62×10−51	1.62×10−51	NUM
ejpam-5822	651	12	1.62×10−51	1.62×10−51	NUM
ejpam-5822	651	13	0	0	NUM
ejpam-5822	651	14	example	example	NOUN
ejpam-5822	651	15	6	6	NUM
ejpam-5822	651	16	.	.	PUNCT
ejpam-5822	652	1	population	population	NOUN
ejpam-5822	652	2	growth	growth	NOUN
ejpam-5822	652	3	in	in	ADP
ejpam-5822	652	4	ecosystems	ecosystem	NOUN
ejpam-5822	652	5	with	with	ADP
ejpam-5822	652	6	periodic	periodic	ADJ
ejpam-5822	652	7	resources	resource	NOUN
ejpam-5822	652	8	we	we	PRON
ejpam-5822	652	9	consider	consider	VERB
ejpam-5822	652	10	the	the	DET
ejpam-5822	652	11	nonlinear	nonlinear	ADJ
ejpam-5822	652	12	test	test	NOUN
ejpam-5822	652	13	function	function	NOUN
ejpam-5822	652	14	to	to	PART
ejpam-5822	652	15	represent	represent	VERB
ejpam-5822	652	16	the	the	DET
ejpam-5822	652	17	growth	growth	NOUN
ejpam-5822	652	18	of	of	ADP
ejpam-5822	652	19	a	a	DET
ejpam-5822	652	20	biological	biological	ADJ
ejpam-5822	652	21	population	population	NOUN
ejpam-5822	652	22	where	where	SCONJ
ejpam-5822	652	23	k	k	PROPN
ejpam-5822	652	24	represents	represent	VERB
ejpam-5822	652	25	a	a	DET
ejpam-5822	652	26	variable	variable	NOUN
ejpam-5822	652	27	such	such	ADJ
ejpam-5822	652	28	as	as	ADP
ejpam-5822	652	29	time	time	NOUN
ejpam-5822	652	30	,	,	PUNCT
ejpam-5822	652	31	resource	resource	NOUN
ejpam-5822	652	32	availability	availability	NOUN
ejpam-5822	652	33	,	,	PUNCT
ejpam-5822	652	34	or	or	CCONJ
ejpam-5822	652	35	environmental	environmental	ADJ
ejpam-5822	652	36	conditions	condition	NOUN
ejpam-5822	652	37	.	.	PUNCT
ejpam-5822	653	1	g6(k	g6(k	NOUN
ejpam-5822	653	2	)	)	PUNCT
ejpam-5822	653	3	=	=	PUNCT
ejpam-5822	654	1	ln(1	ln(1	NOUN
ejpam-5822	654	2	+	+	SYM
ejpam-5822	654	3	k2)+	k2)+	PROPN
ejpam-5822	654	4	ek	ek	PROPN
ejpam-5822	654	5	sin(k	sin(k	PROPN
ejpam-5822	654	6	)	)	PUNCT
ejpam-5822	654	7	.	.	PUNCT
ejpam-5822	655	1	(	(	PUNCT
ejpam-5822	655	2	51	51	NUM
ejpam-5822	655	3	)	)	PUNCT
ejpam-5822	655	4	in	in	ADP
ejpam-5822	655	5	ecology	ecology	NOUN
ejpam-5822	655	6	,	,	PUNCT
ejpam-5822	655	7	population	population	NOUN
ejpam-5822	655	8	dynamics	dynamic	NOUN
ejpam-5822	655	9	can	can	AUX
ejpam-5822	655	10	be	be	AUX
ejpam-5822	655	11	influenced	influence	VERB
ejpam-5822	655	12	by	by	ADP
ejpam-5822	655	13	both	both	DET
ejpam-5822	655	14	intrinsic	intrinsic	ADJ
ejpam-5822	655	15	factors	factor	NOUN
ejpam-5822	655	16	(	(	PUNCT
ejpam-5822	655	17	like	like	ADP
ejpam-5822	655	18	growth	growth	NOUN
ejpam-5822	655	19	rates	rate	NOUN
ejpam-5822	655	20	)	)	PUNCT
ejpam-5822	655	21	and	and	CCONJ
ejpam-5822	655	22	extrinsic	extrinsic	ADJ
ejpam-5822	655	23	factors	factor	NOUN
ejpam-5822	655	24	(	(	PUNCT
ejpam-5822	655	25	such	such	ADJ
ejpam-5822	655	26	as	as	ADP
ejpam-5822	655	27	resource	resource	NOUN
ejpam-5822	655	28	availability	availability	NOUN
ejpam-5822	655	29	,	,	PUNCT
ejpam-5822	655	30	seasonal	seasonal	ADJ
ejpam-5822	655	31	changes	change	NOUN
ejpam-5822	655	32	,	,	PUNCT
ejpam-5822	655	33	or	or	CCONJ
ejpam-5822	655	34	environmental	environmental	ADJ
ejpam-5822	655	35	conditions	condition	NOUN
ejpam-5822	655	36	)	)	PUNCT
ejpam-5822	656	1	[	[	X
ejpam-5822	656	2	35	35	NUM
ejpam-5822	656	3	]	]	PUNCT
ejpam-5822	656	4	.	.	PUNCT
ejpam-5822	657	1	this	this	DET
ejpam-5822	657	2	model	model	NOUN
ejpam-5822	657	3	can	can	AUX
ejpam-5822	657	4	be	be	AUX
ejpam-5822	657	5	applied	apply	VERB
ejpam-5822	657	6	to	to	ADP
ejpam-5822	657	7	studying	study	VERB
ejpam-5822	657	8	ecosystem	ecosystem	NOUN
ejpam-5822	657	9	populations	population	NOUN
ejpam-5822	657	10	where	where	SCONJ
ejpam-5822	657	11	resource	resource	NOUN
ejpam-5822	657	12	availability	availability	NOUN
ejpam-5822	657	13	and	and	CCONJ
ejpam-5822	657	14	environmental	environmental	ADJ
ejpam-5822	657	15	cycles	cycle	NOUN
ejpam-5822	657	16	(	(	PUNCT
ejpam-5822	657	17	like	like	ADP
ejpam-5822	657	18	seasonal	seasonal	ADJ
ejpam-5822	657	19	changes	change	NOUN
ejpam-5822	657	20	)	)	PUNCT
ejpam-5822	657	21	significantly	significantly	ADV
ejpam-5822	657	22	impact	impact	VERB
ejpam-5822	657	23	growth	growth	NOUN
ejpam-5822	657	24	.	.	PUNCT
ejpam-5822	658	1	the	the	DET
ejpam-5822	658	2	exact	exact	ADJ
ejpam-5822	658	3	root	root	NOUN
ejpam-5822	658	4	of	of	ADP
ejpam-5822	658	5	the	the	DET
ejpam-5822	658	6	above	above	ADJ
ejpam-5822	658	7	equation	equation	NOUN
ejpam-5822	658	8	is	be	AUX
ejpam-5822	658	9	γ	γ	X
ejpam-5822	658	10	=	=	PROPN
ejpam-5822	658	11	0.0	0.0	NUM
ejpam-5822	658	12	numerical	numerical	ADJ
ejpam-5822	658	13	results	result	NOUN
ejpam-5822	658	14	are	be	AUX
ejpam-5822	658	15	shown	show	VERB
ejpam-5822	658	16	in	in	ADP
ejpam-5822	658	17	table	table	NOUN
ejpam-5822	658	18	6	6	NUM
ejpam-5822	658	19	with	with	ADP
ejpam-5822	658	20	the	the	DET
ejpam-5822	658	21	starting	starting	NOUN
ejpam-5822	658	22	approximation	approximation	NOUN
ejpam-5822	658	23	k∗	k∗	NOUN
ejpam-5822	659	1	=	=	NOUN
ejpam-5822	659	2	0.01	0.01	NUM
ejpam-5822	659	3	of	of	ADP
ejpam-5822	659	4	function	function	NOUN
ejpam-5822	659	5	g6(k	g6(k	PROPN
ejpam-5822	659	6	)	)	PUNCT
ejpam-5822	659	7	.	.	PUNCT
ejpam-5822	660	1	table	table	NOUN
ejpam-5822	660	2	6	6	NUM
ejpam-5822	660	3	illustrates	illustrate	VERB
ejpam-5822	660	4	the	the	DET
ejpam-5822	660	5	convergence	convergence	NOUN
ejpam-5822	660	6	pertable	pertable	ADJ
ejpam-5822	660	7	6	6	NUM
ejpam-5822	660	8	:	:	PUNCT
ejpam-5822	660	9	convergence	convergence	NOUN
ejpam-5822	660	10	analysis	analysis	NOUN
ejpam-5822	660	11	for	for	ADP
ejpam-5822	660	12	g6(k	g6(k	NOUN
ejpam-5822	660	13	)	)	PUNCT
ejpam-5822	660	14	g6(k	g6(k	NOUN
ejpam-5822	660	15	)	)	PUNCT
ejpam-5822	660	16	=	=	SYM
ejpam-5822	661	1	ln(1	ln(1	NOUN
ejpam-5822	661	2	+	+	SYM
ejpam-5822	661	3	k2)+	k2)+	PROPN
ejpam-5822	661	4	ek	ek	PROPN
ejpam-5822	661	5	sin(k	sin(k	PROPN
ejpam-5822	661	6	)	)	PUNCT
ejpam-5822	661	7	,	,	PUNCT
ejpam-5822	662	1	k∗	k∗	NOUN
ejpam-5822	662	2	=	=	PUNCT
ejpam-5822	662	3	0.01	0.01	NUM
ejpam-5822	662	4	methods	method	NOUN
ejpam-5822	662	5	|k2	|k2	NOUN
ejpam-5822	662	6	−	−	PROPN
ejpam-5822	663	1	k1|	k1|	PROPN
ejpam-5822	663	2	|k3	|k3	NOUN
ejpam-5822	663	3	−	−	ADP
ejpam-5822	663	4	k2|	k2|	X
ejpam-5822	663	5	|k4	|k4	NOUN
ejpam-5822	663	6	−	−	PROPN
ejpam-5822	663	7	k3|	k3|	NOUN
ejpam-5822	663	8	coc	coc	NOUN
ejpam-5822	663	9	sfhm-1	sfhm-1	NUM
ejpam-5822	663	10	9.99×10−3	9.99×10−3	NUM
ejpam-5822	663	11	1.59×10−29	1.59×10−29	NUM
ejpam-5822	663	12	4.48×10−459	4.48×10−459	NOUN
ejpam-5822	663	13	16.02	16.02	NUM
ejpam-5822	663	14	sfhm-2	sfhm-2	NOUN
ejpam-5822	663	15	9.99×10−3	9.99×10−3	NUM
ejpam-5822	663	16	3.21×10−27	3.21×10−27	NUM
ejpam-5822	663	17	6.19×10−419	6.19×10−419	NUM
ejpam-5822	663	18	15.99	15.99	NUM
ejpam-5822	663	19	cm-1	cm-1	NOUN
ejpam-5822	663	20	9.99×10−3	9.99×10−3	NUM
ejpam-5822	663	21	7.45×10−27	7.45×10−27	NUM
ejpam-5822	664	1	9.80×10−413	9.80×10−413	NUM
ejpam-5822	664	2	15.99	15.99	NUM
ejpam-5822	664	3	cm-2	cm-2	NOUN
ejpam-5822	664	4	1.23×10−2	1.23×10−2	PRON
ejpam-5822	664	5	2.05×10−26	2.05×10−26	NUM
ejpam-5822	665	1	6.89×10−405	6.89×10−405	NUM
ejpam-5822	665	2	15.97	15.97	NUM
ejpam-5822	665	3	cm-3	cm-3	NOUN
ejpam-5822	665	4	9.99×10−3	9.99×10−3	NUM
ejpam-5822	665	5	1.51×10−28	1.51×10−28	NUM
ejpam-5822	665	6	d	d	NOUN
ejpam-5822	665	7	d	d	X
ejpam-5822	665	8	cm-4	cm-4	NOUN
ejpam-5822	665	9	1.26×10−28	1.26×10−28	PROPN
ejpam-5822	665	10	7.83×10−443	7.83×10−443	NOUN
ejpam-5822	665	11	0	0	NUM
ejpam-5822	666	1	d	d	NOUN
ejpam-5822	666	2	cm-5	cm-5	ADP
ejpam-5822	666	3	4.68×10−26	4.68×10−26	NUM
ejpam-5822	666	4	4.09×10−399	4.09×10−399	NOUN
ejpam-5822	666	5	4.94×10−3991	4.94×10−3991	NOUN
ejpam-5822	666	6	9.63	9.63	NUM
ejpam-5822	666	7	formance	formance	NOUN
ejpam-5822	666	8	of	of	ADP
ejpam-5822	666	9	newly	newly	ADV
ejpam-5822	666	10	proposed	propose	VERB
ejpam-5822	666	11	methods	method	NOUN
ejpam-5822	666	12	(	(	PUNCT
ejpam-5822	666	13	sfhm-1	sfhm-1	NUM
ejpam-5822	666	14	and	and	CCONJ
ejpam-5822	666	15	sfhm-2	sfhm-2	NOUN
ejpam-5822	666	16	)	)	PUNCT
ejpam-5822	666	17	compared	compare	VERB
ejpam-5822	666	18	to	to	ADP
ejpam-5822	666	19	established	establish	VERB
ejpam-5822	666	20	methods	method	NOUN
ejpam-5822	666	21	(	(	PUNCT
ejpam-5822	666	22	cm-1	cm-1	X
ejpam-5822	666	23	,	,	PUNCT
ejpam-5822	666	24	cm-2	cm-2	NOUN
ejpam-5822	666	25	,	,	PUNCT
ejpam-5822	666	26	cm-3	cm-3	ADV
ejpam-5822	666	27	,	,	PUNCT
ejpam-5822	666	28	cm-4	cm-4	NOUN
ejpam-5822	666	29	,	,	PUNCT
ejpam-5822	666	30	and	and	CCONJ
ejpam-5822	666	31	cm-5	cm-5	ADP
ejpam-5822	666	32	)	)	PUNCT
ejpam-5822	666	33	for	for	ADP
ejpam-5822	666	34	the	the	DET
ejpam-5822	666	35	nonlinear	nonlinear	ADJ
ejpam-5822	666	36	equation	equation	NOUN
ejpam-5822	666	37	g6(k	g6(k	PROPN
ejpam-5822	666	38	)	)	PUNCT
ejpam-5822	666	39	.	.	PUNCT
ejpam-5822	667	1	the	the	DET
ejpam-5822	667	2	proposed	propose	VERB
ejpam-5822	667	3	methods	method	NOUN
ejpam-5822	667	4	,	,	PUNCT
ejpam-5822	667	5	sfhm-1	sfhm-1	NUM
ejpam-5822	667	6	and	and	CCONJ
ejpam-5822	667	7	sfhm-2	sfhm-2	PROPN
ejpam-5822	667	8	,	,	PUNCT
ejpam-5822	667	9	demonstrate	demonstrate	VERB
ejpam-5822	667	10	remarkable	remarkable	ADJ
ejpam-5822	667	11	performance	performance	NOUN
ejpam-5822	667	12	with	with	ADP
ejpam-5822	667	13	significantly	significantly	ADV
ejpam-5822	667	14	smaller	small	ADJ
ejpam-5822	667	15	error	error	NOUN
ejpam-5822	667	16	levels	level	NOUN
ejpam-5822	667	17	and	and	CCONJ
ejpam-5822	667	18	higher	high	ADJ
ejpam-5822	667	19	coc	coc	ADJ
ejpam-5822	667	20	values	value	NOUN
ejpam-5822	667	21	of	of	ADP
ejpam-5822	667	22	16.02	16.02	NUM
ejpam-5822	667	23	and	and	CCONJ
ejpam-5822	667	24	15.99	15.99	NUM
ejpam-5822	667	25	,	,	PUNCT
ejpam-5822	667	26	respectively	respectively	ADV
ejpam-5822	667	27	,	,	PUNCT
ejpam-5822	667	28	outperforming	outperform	VERB
ejpam-5822	667	29	all	all	DET
ejpam-5822	667	30	other	other	ADJ
ejpam-5822	667	31	methods	method	NOUN
ejpam-5822	667	32	.	.	PUNCT
ejpam-5822	668	1	among	among	ADP
ejpam-5822	668	2	the	the	DET
ejpam-5822	668	3	established	establish	VERB
ejpam-5822	668	4	methods	method	NOUN
ejpam-5822	668	5	,	,	PUNCT
ejpam-5822	668	6	cm-1	cm-1	PUNCT
ejpam-5822	668	7	and	and	CCONJ
ejpam-5822	668	8	cm-2	cm-2	NOUN
ejpam-5822	668	9	also	also	ADV
ejpam-5822	668	10	achieve	achieve	VERB
ejpam-5822	668	11	required	require	VERB
ejpam-5822	668	12	coc	coc	ADJ
ejpam-5822	668	13	values	value	NOUN
ejpam-5822	668	14	but	but	CCONJ
ejpam-5822	668	15	their	their	PRON
ejpam-5822	668	16	error	error	NOUN
ejpam-5822	668	17	levels	level	NOUN
ejpam-5822	668	18	are	be	AUX
ejpam-5822	668	19	slightly	slightly	ADV
ejpam-5822	668	20	higher	high	ADJ
ejpam-5822	668	21	than	than	ADP
ejpam-5822	668	22	those	those	PRON
ejpam-5822	668	23	of	of	ADP
ejpam-5822	668	24	the	the	DET
ejpam-5822	668	25	proposed	propose	VERB
ejpam-5822	668	26	techniques	technique	NOUN
ejpam-5822	668	27	.	.	PUNCT
ejpam-5822	669	1	the	the	DET
ejpam-5822	669	2	methods	method	NOUN
ejpam-5822	669	3	cm-3	cm-3	X
ejpam-5822	669	4	and	and	CCONJ
ejpam-5822	669	5	cm-4	cm-4	CCONJ
ejpam-5822	669	6	encounter	encounter	VERB
ejpam-5822	669	7	divergence	divergence	NOUN
ejpam-5822	669	8	and	and	CCONJ
ejpam-5822	669	9	cm-5	cm-5	ADP
ejpam-5822	669	10	exhibits	exhibit	VERB
ejpam-5822	669	11	the	the	DET
ejpam-5822	669	12	weakest	weak	ADJ
ejpam-5822	669	13	performance	performance	NOUN
ejpam-5822	669	14	with	with	ADP
ejpam-5822	669	15	a	a	DET
ejpam-5822	669	16	low	low	ADJ
ejpam-5822	669	17	coc	coc	NOUN
ejpam-5822	669	18	of	of	ADP
ejpam-5822	669	19	9.63	9.63	NUM
ejpam-5822	669	20	and	and	CCONJ
ejpam-5822	669	21	larger	large	ADJ
ejpam-5822	669	22	error	error	NOUN
ejpam-5822	669	23	levels	level	NOUN
ejpam-5822	669	24	.	.	PUNCT
ejpam-5822	670	1	s.	s.	PROPN
ejpam-5822	670	2	akram	akram	PROPN
ejpam-5822	670	3	et	et	PROPN
ejpam-5822	670	4	al	al	PROPN
ejpam-5822	670	5	.	.	PUNCT
ejpam-5822	670	6	/	/	SYM
ejpam-5822	670	7	eur	eur	PROPN
ejpam-5822	670	8	.	.	PUNCT
ejpam-5822	671	1	j.	j.	PROPN
ejpam-5822	671	2	pure	pure	PROPN
ejpam-5822	671	3	appl	appl	PROPN
ejpam-5822	671	4	.	.	PROPN
ejpam-5822	671	5	math	math	PROPN
ejpam-5822	671	6	,	,	PUNCT
ejpam-5822	671	7	18	18	NUM
ejpam-5822	671	8	(	(	PUNCT
ejpam-5822	671	9	2	2	NUM
ejpam-5822	671	10	)	)	PUNCT
ejpam-5822	671	11	(	(	PUNCT
ejpam-5822	671	12	2025	2025	NUM
ejpam-5822	671	13	)	)	PUNCT
ejpam-5822	671	14	,	,	PUNCT
ejpam-5822	671	15	5822	5822	NUM
ejpam-5822	671	16	19	19	NUM
ejpam-5822	671	17	of	of	ADP
ejpam-5822	671	18	26	26	NUM
ejpam-5822	671	19	example	example	NOUN
ejpam-5822	671	20	7	7	NUM
ejpam-5822	671	21	.	.	X
ejpam-5822	672	1	we	we	PRON
ejpam-5822	672	2	use	use	VERB
ejpam-5822	672	3	the	the	DET
ejpam-5822	672	4	following	follow	VERB
ejpam-5822	672	5	nonlinear	nonlinear	ADJ
ejpam-5822	672	6	test	test	NOUN
ejpam-5822	672	7	function	function	NOUN
ejpam-5822	672	8	:	:	PUNCT
ejpam-5822	672	9	g7(k	g7(k	NOUN
ejpam-5822	672	10	)	)	PUNCT
ejpam-5822	672	11	=	=	PUNCT
ejpam-5822	672	12	(	(	PUNCT
ejpam-5822	672	13	k−1)3	k−1)3	PROPN
ejpam-5822	672	14	−1	−1	NOUN
ejpam-5822	672	15	.	.	PUNCT
ejpam-5822	673	1	(	(	PUNCT
ejpam-5822	673	2	52	52	NUM
ejpam-5822	673	3	)	)	PUNCT
ejpam-5822	673	4	with	with	ADP
ejpam-5822	673	5	three	three	NUM
ejpam-5822	673	6	approximate	approximate	ADJ
ejpam-5822	673	7	roots	root	NOUN
ejpam-5822	673	8	in	in	ADP
ejpam-5822	673	9	the	the	DET
ejpam-5822	673	10	preceded	precede	VERB
ejpam-5822	673	11	equation	equation	NOUN
ejpam-5822	673	12	,	,	PUNCT
ejpam-5822	673	13	we	we	PRON
ejpam-5822	673	14	choose	choose	VERB
ejpam-5822	673	15	γ	γ	X
ejpam-5822	673	16	=	=	SYM
ejpam-5822	673	17	2	2	NUM
ejpam-5822	673	18	we	we	PRON
ejpam-5822	673	19	chose	choose	VERB
ejpam-5822	673	20	k∗	k∗	NOUN
ejpam-5822	673	21	=	=	NOUN
ejpam-5822	673	22	2.1	2.1	NUM
ejpam-5822	673	23	as	as	ADP
ejpam-5822	673	24	our	our	PRON
ejpam-5822	673	25	first	first	ADJ
ejpam-5822	673	26	approximation	approximation	NOUN
ejpam-5822	673	27	.	.	PUNCT
ejpam-5822	674	1	the	the	DET
ejpam-5822	674	2	numerical	numerical	ADJ
ejpam-5822	674	3	findings	finding	NOUN
ejpam-5822	674	4	are	be	AUX
ejpam-5822	674	5	displayed	display	VERB
ejpam-5822	674	6	in	in	ADP
ejpam-5822	674	7	table	table	NOUN
ejpam-5822	674	8	7	7	NUM
ejpam-5822	674	9	.	.	PUNCT
ejpam-5822	674	10	when	when	SCONJ
ejpam-5822	674	11	comparing	compare	VERB
ejpam-5822	674	12	contable	contable	ADJ
ejpam-5822	674	13	7	7	NUM
ejpam-5822	674	14	:	:	PUNCT
ejpam-5822	674	15	convergence	convergence	NOUN
ejpam-5822	674	16	analysis	analysis	NOUN
ejpam-5822	674	17	for	for	ADP
ejpam-5822	674	18	g7(k	g7(k	NOUN
ejpam-5822	674	19	)	)	PUNCT
ejpam-5822	674	20	g7(k	g7(k	NOUN
ejpam-5822	674	21	)	)	PUNCT
ejpam-5822	675	1	=	=	PRON
ejpam-5822	675	2	(	(	PUNCT
ejpam-5822	675	3	k−1)3	k−1)3	PROPN
ejpam-5822	675	4	−1	−1	PROPN
ejpam-5822	675	5	,	,	PUNCT
ejpam-5822	675	6	k∗	k∗	NOUN
ejpam-5822	675	7	=	=	NOUN
ejpam-5822	675	8	2.1	2.1	NUM
ejpam-5822	675	9	methods	method	NOUN
ejpam-5822	675	10	|k2	|k2	NOUN
ejpam-5822	675	11	−	−	PROPN
ejpam-5822	676	1	k1|	k1|	PROPN
ejpam-5822	676	2	|k3	|k3	NOUN
ejpam-5822	676	3	−	−	ADP
ejpam-5822	676	4	k2|	k2|	X
ejpam-5822	676	5	|k4	|k4	NOUN
ejpam-5822	676	6	−	−	PROPN
ejpam-5822	676	7	k3|	k3|	NOUN
ejpam-5822	676	8	coc	coc	NOUN
ejpam-5822	676	9	sfhm-1	sfhm-1	PROPN
ejpam-5822	677	1	9.99×10−2	9.99×10−2	NUM
ejpam-5822	677	2	7.46×10−18	7.46×10−18	NUM
ejpam-5822	677	3	1.27×10−275	1.27×10−275	NUM
ejpam-5822	677	4	15.98	15.98	NUM
ejpam-5822	677	5	sfhm-2	sfhm-2	NOUN
ejpam-5822	677	6	9.99×10−2	9.99×10−2	NUM
ejpam-5822	677	7	3.75×10−17	3.75×10−17	NUM
ejpam-5822	677	8	1.92×10−263	1.92×10−263	NUM
ejpam-5822	677	9	15.96	15.96	NUM
ejpam-5822	677	10	cm-1	cm-1	NOUN
ejpam-5822	677	11	9.99×10−2	9.99×10−2	NUM
ejpam-5822	677	12	3.13×10−16	3.13×10−16	NUM
ejpam-5822	677	13	1.03×10−247	1.03×10−247	NUM
ejpam-5822	677	14	15.96	15.96	NUM
ejpam-5822	677	15	cm-2	cm-2	NOUN
ejpam-5822	677	16	9.99×10−2	9.99×10−2	NUM
ejpam-5822	677	17	1.13×10−16	1.13×10−16	NOUN
ejpam-5822	677	18	1.34×10−252	1.34×10−252	NUM
ejpam-5822	677	19	15.78	15.78	NUM
ejpam-5822	677	20	cm-3	cm-3	NOUN
ejpam-5822	677	21	9.99×10−2	9.99×10−2	NUM
ejpam-5822	678	1	7.85×10−18	7.85×10−18	NUM
ejpam-5822	678	2	4.16×10−275	4.16×10−275	PRON
ejpam-5822	678	3	15.97	15.97	NUM
ejpam-5822	678	4	cm-4	cm-4	NOUN
ejpam-5822	678	5	6.38×10−14	6.38×10−14	NOUN
ejpam-5822	678	6	1.83×10−210	1.83×10−210	NUM
ejpam-5822	678	7	0	0	NUM
ejpam-5822	678	8	d	d	NOUN
ejpam-5822	678	9	cm-5	cm-5	ADP
ejpam-5822	678	10	2.94×10−15	2.94×10−15	NUM
ejpam-5822	679	1	5.66×10−231	5.66×10−231	NUM
ejpam-5822	679	2	0	0	NUM
ejpam-5822	680	1	d	d	PRON
ejpam-5822	680	2	cerning	cerne	VERB
ejpam-5822	680	3	computational	computational	ADJ
ejpam-5822	680	4	order	order	NOUN
ejpam-5822	680	5	of	of	ADP
ejpam-5822	680	6	convergence	convergence	NOUN
ejpam-5822	680	7	and	and	CCONJ
ejpam-5822	680	8	absolute	absolute	ADJ
ejpam-5822	680	9	error	error	NOUN
ejpam-5822	680	10	,	,	PUNCT
ejpam-5822	680	11	the	the	DET
ejpam-5822	680	12	suggested	suggest	VERB
ejpam-5822	680	13	schemes	scheme	NOUN
ejpam-5822	680	14	sfhm-1	sfhm-1	NUM
ejpam-5822	680	15	and	and	CCONJ
ejpam-5822	680	16	sfhm-2	sfhm-2	PROPN
ejpam-5822	680	17	outperform	outperform	VERB
ejpam-5822	680	18	cm-1	cm-1	NOUN
ejpam-5822	680	19	-	-	PUNCT
ejpam-5822	680	20	cm-5	cm-5	NOUN
ejpam-5822	680	21	,	,	PUNCT
ejpam-5822	680	22	as	as	SCONJ
ejpam-5822	680	23	demonstrated	demonstrate	VERB
ejpam-5822	680	24	by	by	ADP
ejpam-5822	680	25	table	table	NOUN
ejpam-5822	680	26	7	7	NUM
ejpam-5822	680	27	for	for	ADP
ejpam-5822	680	28	the	the	DET
ejpam-5822	680	29	function	function	NOUN
ejpam-5822	680	30	g7(k	g7(k	PROPN
ejpam-5822	680	31	)	)	PUNCT
ejpam-5822	680	32	.	.	PUNCT
ejpam-5822	681	1	5	5	X
ejpam-5822	681	2	.	.	X
ejpam-5822	681	3	dynamical	dynamical	ADJ
ejpam-5822	681	4	investigation	investigation	NOUN
ejpam-5822	681	5	of	of	ADP
ejpam-5822	681	6	proposed	propose	VERB
ejpam-5822	681	7	family	family	NOUN
ejpam-5822	681	8	basins	basin	NOUN
ejpam-5822	681	9	of	of	ADP
ejpam-5822	681	10	attraction	attraction	NOUN
ejpam-5822	681	11	are	be	AUX
ejpam-5822	681	12	used	use	VERB
ejpam-5822	681	13	to	to	PART
ejpam-5822	681	14	study	study	VERB
ejpam-5822	681	15	the	the	DET
ejpam-5822	681	16	dynamical	dynamical	ADJ
ejpam-5822	681	17	behavior	behavior	NOUN
ejpam-5822	681	18	of	of	ADP
ejpam-5822	681	19	a	a	DET
ejpam-5822	681	20	rational	rational	ADJ
ejpam-5822	681	21	function	function	NOUN
ejpam-5822	681	22	connected	connect	VERB
ejpam-5822	681	23	to	to	ADP
ejpam-5822	681	24	an	an	DET
ejpam-5822	681	25	iterative	iterative	NOUN
ejpam-5822	681	26	approach	approach	NOUN
ejpam-5822	681	27	,	,	PUNCT
ejpam-5822	681	28	which	which	PRON
ejpam-5822	681	29	offers	offer	VERB
ejpam-5822	681	30	essential	essential	ADJ
ejpam-5822	681	31	perspectives	perspective	NOUN
ejpam-5822	681	32	on	on	ADP
ejpam-5822	681	33	the	the	DET
ejpam-5822	681	34	convergence	convergence	NOUN
ejpam-5822	681	35	and	and	CCONJ
ejpam-5822	681	36	stability	stability	NOUN
ejpam-5822	681	37	of	of	ADP
ejpam-5822	681	38	the	the	DET
ejpam-5822	681	39	method	method	NOUN
ejpam-5822	681	40	.	.	PUNCT
ejpam-5822	682	1	it	it	PRON
ejpam-5822	682	2	was	be	AUX
ejpam-5822	682	3	initially	initially	ADV
ejpam-5822	682	4	proposed	propose	VERB
ejpam-5822	682	5	by	by	ADP
ejpam-5822	682	6	vrscay	vrscay	NOUN
ejpam-5822	682	7	and	and	CCONJ
ejpam-5822	682	8	gilbert	gilbert	PROPN
ejpam-5822	683	1	[	[	X
ejpam-5822	683	2	36	36	NUM
ejpam-5822	683	3	]	]	PUNCT
ejpam-5822	683	4	to	to	PART
ejpam-5822	683	5	analyze	analyze	VERB
ejpam-5822	683	6	the	the	DET
ejpam-5822	683	7	complicated	complicated	ADJ
ejpam-5822	683	8	dynamics	dynamic	NOUN
ejpam-5822	683	9	of	of	ADP
ejpam-5822	683	10	iteration	iteration	NOUN
ejpam-5822	683	11	systems	system	NOUN
ejpam-5822	683	12	.	.	PUNCT
ejpam-5822	684	1	later	later	ADV
ejpam-5822	684	2	,	,	PUNCT
ejpam-5822	684	3	several	several	ADJ
ejpam-5822	684	4	researchers	researcher	NOUN
ejpam-5822	684	5	used	use	VERB
ejpam-5822	684	6	this	this	DET
ejpam-5822	684	7	strategy	strategy	NOUN
ejpam-5822	684	8	in	in	ADP
ejpam-5822	684	9	their	their	PRON
ejpam-5822	684	10	writings	writing	NOUN
ejpam-5822	684	11	[	[	X
ejpam-5822	684	12	37	37	NUM
ejpam-5822	684	13	,	,	PUNCT
ejpam-5822	684	14	38	38	NUM
ejpam-5822	684	15	]	]	PUNCT
ejpam-5822	684	16	.	.	PUNCT
ejpam-5822	685	1	a	a	DET
ejpam-5822	685	2	graphic	graphic	NOUN
ejpam-5822	685	3	that	that	PRON
ejpam-5822	685	4	illustrates	illustrate	VERB
ejpam-5822	685	5	the	the	DET
ejpam-5822	685	6	behavior	behavior	NOUN
ejpam-5822	685	7	of	of	ADP
ejpam-5822	685	8	such	such	DET
ejpam-5822	685	9	an	an	DET
ejpam-5822	685	10	algorithm	algorithm	NOUN
ejpam-5822	685	11	as	as	ADP
ejpam-5822	685	12	a	a	DET
ejpam-5822	685	13	function	function	NOUN
ejpam-5822	685	14	of	of	ADP
ejpam-5822	685	15	the	the	DET
ejpam-5822	685	16	different	different	ADJ
ejpam-5822	685	17	beginning	beginning	NOUN
ejpam-5822	685	18	positions	position	NOUN
ejpam-5822	685	19	is	be	AUX
ejpam-5822	685	20	called	call	VERB
ejpam-5822	685	21	the	the	DET
ejpam-5822	685	22	basin	basin	NOUN
ejpam-5822	685	23	of	of	ADP
ejpam-5822	685	24	attraction	attraction	NOUN
ejpam-5822	685	25	.	.	PUNCT
ejpam-5822	686	1	let	let	VERB
ejpam-5822	686	2	a	a	DET
ejpam-5822	686	3	rational	rational	ADJ
ejpam-5822	686	4	mapping	mapping	NOUN
ejpam-5822	686	5	represented	represent	VERB
ejpam-5822	686	6	by	by	ADP
ejpam-5822	686	7	χ	χ	X
ejpam-5822	686	8	:	:	PUNCT
ejpam-5822	686	9	c→	c→	PROPN
ejpam-5822	686	10	c	c	NOUN
ejpam-5822	686	11	on	on	ADP
ejpam-5822	686	12	the	the	DET
ejpam-5822	686	13	complex	complex	ADJ
ejpam-5822	686	14	plane	plane	NOUN
ejpam-5822	686	15	,	,	PUNCT
ejpam-5822	686	16	where	where	SCONJ
ejpam-5822	686	17	c	c	PROPN
ejpam-5822	686	18	represents	represent	VERB
ejpam-5822	686	19	the	the	DET
ejpam-5822	686	20	riemann	riemann	PROPN
ejpam-5822	686	21	sphere	sphere	PROPN
ejpam-5822	686	22	.	.	PUNCT
ejpam-5822	687	1	the	the	DET
ejpam-5822	687	2	orbit	orbit	NOUN
ejpam-5822	687	3	of	of	ADP
ejpam-5822	687	4	the	the	DET
ejpam-5822	687	5	point	point	NOUN
ejpam-5822	687	6	ρo	ρo	INTJ
ejpam-5822	687	7	∈	∈	PROPN
ejpam-5822	687	8	c	c	NOUN
ejpam-5822	687	9	is	be	AUX
ejpam-5822	687	10	represented	represent	VERB
ejpam-5822	687	11	by	by	ADP
ejpam-5822	687	12	the	the	DET
ejpam-5822	687	13	set	set	NOUN
ejpam-5822	687	14	that	that	PRON
ejpam-5822	687	15	follows	follow	VERB
ejpam-5822	687	16	as	as	ADP
ejpam-5822	687	17	,	,	PUNCT
ejpam-5822	687	18	{	{	PUNCT
ejpam-5822	687	19	ρo	ρo	ADP
ejpam-5822	687	20	,	,	PUNCT
ejpam-5822	687	21	χ(ρo),χ	χ(ρo),χ	NOUN
ejpam-5822	687	22	2(ρo	2(ρo	NUM
ejpam-5822	687	23	)	)	PUNCT
ejpam-5822	687	24	,	,	PUNCT
ejpam-5822	687	25	.	.	PUNCT
ejpam-5822	687	26	.	.	PUNCT
ejpam-5822	688	1	.	.	PUNCT
ejpam-5822	689	1	,	,	PUNCT
ejpam-5822	689	2	χ	χ	DET
ejpam-5822	689	3	n(ρo	n(ρo	PROPN
ejpam-5822	689	4	)	)	PUNCT
ejpam-5822	689	5	,	,	PUNCT
ejpam-5822	689	6	.	.	PUNCT
ejpam-5822	689	7	.	.	PUNCT
ejpam-5822	689	8	.	.	PUNCT
ejpam-5822	690	1	}	}	PUNCT
ejpam-5822	690	2	.	.	PUNCT
ejpam-5822	691	1	if	if	SCONJ
ejpam-5822	691	2	a	a	DET
ejpam-5822	691	3	point	point	NOUN
ejpam-5822	691	4	ρ0	ρ0	PROPN
ejpam-5822	691	5	∈c	∈c	PROPN
ejpam-5822	691	6	fulfills	fulfill	VERB
ejpam-5822	691	7	χn(ρ0	χn(ρ0	NOUN
ejpam-5822	691	8	)	)	PUNCT
ejpam-5822	691	9	=	=	SYM
ejpam-5822	691	10	ρ0	ρ0	PROPN
ejpam-5822	691	11	,	,	PUNCT
ejpam-5822	691	12	where	where	SCONJ
ejpam-5822	691	13	n	n	X
ejpam-5822	691	14	is	be	AUX
ejpam-5822	691	15	the	the	DET
ejpam-5822	691	16	smallest	small	ADJ
ejpam-5822	691	17	value	value	NOUN
ejpam-5822	691	18	that	that	PRON
ejpam-5822	691	19	satisfies	satisfy	VERB
ejpam-5822	691	20	this	this	DET
ejpam-5822	691	21	condition	condition	NOUN
ejpam-5822	691	22	,	,	PUNCT
ejpam-5822	691	23	then	then	ADV
ejpam-5822	691	24	the	the	DET
ejpam-5822	691	25	point	point	NOUN
ejpam-5822	691	26	is	be	AUX
ejpam-5822	691	27	termed	term	VERB
ejpam-5822	691	28	a	a	DET
ejpam-5822	691	29	periodic	periodic	ADJ
ejpam-5822	691	30	point	point	NOUN
ejpam-5822	691	31	with	with	ADP
ejpam-5822	691	32	a	a	DET
ejpam-5822	691	33	minimal	minimal	ADJ
ejpam-5822	691	34	period	period	NOUN
ejpam-5822	691	35	n.	n.	NOUN
ejpam-5822	691	36	a	a	DET
ejpam-5822	691	37	periodic	periodic	ADJ
ejpam-5822	691	38	point	point	NOUN
ejpam-5822	691	39	with	with	ADP
ejpam-5822	691	40	a	a	DET
ejpam-5822	691	41	minimum	minimum	ADJ
ejpam-5822	691	42	period	period	NOUN
ejpam-5822	691	43	of	of	ADP
ejpam-5822	691	44	one	one	NUM
ejpam-5822	691	45	is	be	AUX
ejpam-5822	691	46	called	call	VERB
ejpam-5822	691	47	a	a	DET
ejpam-5822	691	48	fixed	fix	VERB
ejpam-5822	691	49	point	point	NOUN
ejpam-5822	691	50	of	of	ADP
ejpam-5822	691	51	χ	χ	PRON
ejpam-5822	691	52	.	.	PUNCT
ejpam-5822	692	1	fixed	fix	VERB
ejpam-5822	692	2	points	point	NOUN
ejpam-5822	692	3	are	be	AUX
ejpam-5822	692	4	categorized	categorize	VERB
ejpam-5822	692	5	based	base	VERB
ejpam-5822	692	6	on	on	ADP
ejpam-5822	692	7	the	the	DET
ejpam-5822	692	8	multiplier	multipli	ADJ
ejpam-5822	692	9	|χ	|χ	PROPN
ejpam-5822	692	10	′(ρ0)|	′(ρ0)|	PROPN
ejpam-5822	692	11	.	.	PUNCT
ejpam-5822	693	1	taking	take	VERB
ejpam-5822	693	2	into	into	ADP
ejpam-5822	693	3	consideration	consideration	NOUN
ejpam-5822	693	4	the	the	DET
ejpam-5822	693	5	associated	associated	ADJ
ejpam-5822	693	6	multiplier	multipli	ADJ
ejpam-5822	693	7	,	,	PUNCT
ejpam-5822	693	8	a	a	DET
ejpam-5822	693	9	fixed	fix	VERB
ejpam-5822	693	10	point	point	NOUN
ejpam-5822	693	11	ρ0	ρ0	PROPN
ejpam-5822	693	12	can	can	AUX
ejpam-5822	693	13	be	be	AUX
ejpam-5822	693	14	classified	classify	VERB
ejpam-5822	693	15	as	as	SCONJ
ejpam-5822	693	16	follows	follow	VERB
ejpam-5822	693	17	:	:	PUNCT
ejpam-5822	693	18	•	•	ADP
ejpam-5822	693	19	if	if	SCONJ
ejpam-5822	693	20	|χ	|χ	PROPN
ejpam-5822	693	21	′(ρ0)|	′(ρ0)|	PROPN
ejpam-5822	693	22	<	<	X
ejpam-5822	693	23	1	1	NUM
ejpam-5822	693	24	,	,	PUNCT
ejpam-5822	693	25	then	then	ADV
ejpam-5822	693	26	the	the	DET
ejpam-5822	693	27	point	point	NOUN
ejpam-5822	693	28	is	be	AUX
ejpam-5822	693	29	an	an	DET
ejpam-5822	693	30	attractor	attractor	NOUN
ejpam-5822	693	31	.	.	PUNCT
ejpam-5822	694	1	•	•	NUM
ejpam-5822	694	2	if	if	SCONJ
ejpam-5822	694	3	|χ	|χ	PROPN
ejpam-5822	694	4	′(ρ0)|	′(ρ0)|	PROPN
ejpam-5822	694	5	>	>	X
ejpam-5822	694	6	1	1	NUM
ejpam-5822	694	7	,	,	PUNCT
ejpam-5822	694	8	then	then	ADV
ejpam-5822	694	9	the	the	DET
ejpam-5822	694	10	point	point	NOUN
ejpam-5822	694	11	is	be	AUX
ejpam-5822	694	12	repelling	repel	VERB
ejpam-5822	694	13	.	.	PUNCT
ejpam-5822	695	1	•	•	INTJ
ejpam-5822	695	2	if	if	SCONJ
ejpam-5822	695	3	|χ	|χ	PROPN
ejpam-5822	695	4	′(ρ0)|=	′(ρ0)|=	PROPN
ejpam-5822	695	5	1	1	NUM
ejpam-5822	695	6	,	,	PUNCT
ejpam-5822	695	7	then	then	ADV
ejpam-5822	695	8	the	the	DET
ejpam-5822	695	9	point	point	NOUN
ejpam-5822	695	10	is	be	AUX
ejpam-5822	695	11	neutral	neutral	ADJ
ejpam-5822	695	12	.	.	PUNCT
ejpam-5822	696	1	s.	s.	PROPN
ejpam-5822	696	2	akram	akram	PROPN
ejpam-5822	696	3	et	et	PROPN
ejpam-5822	696	4	al	al	PROPN
ejpam-5822	696	5	.	.	PUNCT
ejpam-5822	696	6	/	/	SYM
ejpam-5822	696	7	eur	eur	PROPN
ejpam-5822	696	8	.	.	PUNCT
ejpam-5822	697	1	j.	j.	PROPN
ejpam-5822	697	2	pure	pure	PROPN
ejpam-5822	697	3	appl	appl	PROPN
ejpam-5822	697	4	.	.	PROPN
ejpam-5822	697	5	math	math	PROPN
ejpam-5822	697	6	,	,	PUNCT
ejpam-5822	697	7	18	18	NUM
ejpam-5822	697	8	(	(	PUNCT
ejpam-5822	697	9	2	2	NUM
ejpam-5822	697	10	)	)	PUNCT
ejpam-5822	697	11	(	(	PUNCT
ejpam-5822	697	12	2025	2025	NUM
ejpam-5822	697	13	)	)	PUNCT
ejpam-5822	697	14	,	,	PUNCT
ejpam-5822	697	15	5822	5822	NUM
ejpam-5822	697	16	20	20	NUM
ejpam-5822	697	17	of	of	ADP
ejpam-5822	697	18	26	26	NUM
ejpam-5822	697	19	•	•	NOUN
ejpam-5822	697	20	if	if	SCONJ
ejpam-5822	697	21	|χ	|χ	PROPN
ejpam-5822	697	22	′(ρ0)|=	′(ρ0)|=	PROPN
ejpam-5822	697	23	0	0	PROPN
ejpam-5822	697	24	,	,	PUNCT
ejpam-5822	697	25	then	then	ADV
ejpam-5822	697	26	the	the	DET
ejpam-5822	697	27	point	point	NOUN
ejpam-5822	697	28	is	be	AUX
ejpam-5822	697	29	a	a	DET
ejpam-5822	697	30	superattractor	superattractor	NOUN
ejpam-5822	697	31	.	.	PUNCT
ejpam-5822	698	1	the	the	DET
ejpam-5822	698	2	collection	collection	NOUN
ejpam-5822	698	3	of	of	ADP
ejpam-5822	698	4	preimages	preimage	NOUN
ejpam-5822	698	5	of	of	ADP
ejpam-5822	698	6	any	any	DET
ejpam-5822	698	7	order	order	NOUN
ejpam-5822	698	8	is	be	AUX
ejpam-5822	698	9	referred	refer	VERB
ejpam-5822	698	10	to	to	ADP
ejpam-5822	698	11	as	as	ADP
ejpam-5822	698	12	c(α	c(α	NOUN
ejpam-5822	698	13	)	)	PUNCT
ejpam-5822	698	14	if	if	SCONJ
ejpam-5822	698	15	α	α	PRON
ejpam-5822	698	16	is	be	AUX
ejpam-5822	698	17	a	a	DET
ejpam-5822	698	18	rational	rational	ADJ
ejpam-5822	698	19	function	function	NOUN
ejpam-5822	698	20	that	that	PRON
ejpam-5822	698	21	attracts	attract	VERB
ejpam-5822	698	22	fixed	fix	VERB
ejpam-5822	698	23	points	point	NOUN
ejpam-5822	698	24	.	.	PUNCT
ejpam-5822	699	1	r(α	r(α	VERB
ejpam-5822	699	2	)	)	PUNCT
ejpam-5822	699	3	=	=	PRON
ejpam-5822	700	1	{	{	PUNCT
ejpam-5822	700	2	ρ0	ρ0	PROPN
ejpam-5822	700	3	∈	∈	PROPN
ejpam-5822	700	4	c	c	NOUN
ejpam-5822	701	1	|	|	ADV
ejpam-5822	701	2	χ	χ	PROPN
ejpam-5822	701	3	n(ρ0)→	n(ρ0)→	PROPN
ejpam-5822	701	4	α	α	PROPN
ejpam-5822	701	5	,	,	PUNCT
ejpam-5822	701	6	n	n	PROPN
ejpam-5822	701	7	→	→	SYM
ejpam-5822	701	8	∞	∞	NUM
ejpam-5822	701	9	}	}	PUNCT
ejpam-5822	701	10	.	.	PUNCT
ejpam-5822	702	1	a	a	DET
ejpam-5822	702	2	set	set	NOUN
ejpam-5822	702	3	of	of	ADP
ejpam-5822	702	4	points	point	NOUN
ejpam-5822	702	5	known	know	VERB
ejpam-5822	702	6	as	as	ADP
ejpam-5822	702	7	the	the	DET
ejpam-5822	702	8	fatou	fatou	NOUN
ejpam-5822	702	9	set	set	NOUN
ejpam-5822	702	10	is	be	AUX
ejpam-5822	702	11	where	where	SCONJ
ejpam-5822	702	12	orbits	orbit	NOUN
ejpam-5822	702	13	converge	converge	VERB
ejpam-5822	702	14	while	while	SCONJ
ejpam-5822	702	15	attempting	attempt	VERB
ejpam-5822	702	16	to	to	PART
ejpam-5822	702	17	attract	attract	VERB
ejpam-5822	702	18	a	a	DET
ejpam-5822	702	19	fixed	fix	VERB
ejpam-5822	702	20	point	point	NOUN
ejpam-5822	702	21	.	.	PUNCT
ejpam-5822	703	1	the	the	DET
ejpam-5822	703	2	julia	julia	PROPN
ejpam-5822	703	3	set	set	PROPN
ejpam-5822	703	4	,	,	PUNCT
ejpam-5822	703	5	the	the	DET
ejpam-5822	703	6	closure	closure	NOUN
ejpam-5822	703	7	of	of	ADP
ejpam-5822	703	8	a	a	DET
ejpam-5822	703	9	collection	collection	NOUN
ejpam-5822	703	10	of	of	ADP
ejpam-5822	703	11	repelling	repel	VERB
ejpam-5822	703	12	fixed	fix	VERB
ejpam-5822	703	13	points	point	NOUN
ejpam-5822	703	14	is	be	AUX
ejpam-5822	703	15	its	its	PRON
ejpam-5822	703	16	counterpart	counterpart	NOUN
ejpam-5822	703	17	and	and	CCONJ
ejpam-5822	703	18	establishes	establish	VERB
ejpam-5822	703	19	the	the	DET
ejpam-5822	703	20	limits	limit	NOUN
ejpam-5822	703	21	separating	separate	VERB
ejpam-5822	703	22	the	the	DET
ejpam-5822	703	23	attraction	attraction	NOUN
ejpam-5822	703	24	basins	basin	NOUN
ejpam-5822	703	25	.	.	PUNCT
ejpam-5822	704	1	(	(	PUNCT
ejpam-5822	704	2	a	a	X
ejpam-5822	704	3	)	)	PUNCT
ejpam-5822	704	4	sfhm-1	sfhm-1	PROPN
ejpam-5822	704	5	(	(	PUNCT
ejpam-5822	704	6	b	b	NOUN
ejpam-5822	704	7	)	)	PUNCT
ejpam-5822	704	8	sfhm-1	sfhm-1	PROPN
ejpam-5822	704	9	(	(	PUNCT
ejpam-5822	704	10	c	c	NOUN
ejpam-5822	704	11	)	)	PUNCT
ejpam-5822	704	12	sfhm-2	sfhm-2	NOUN
ejpam-5822	704	13	(	(	PUNCT
ejpam-5822	704	14	d	d	NOUN
ejpam-5822	704	15	)	)	PUNCT
ejpam-5822	704	16	sfhm-2	sfhm-2	PROPN
ejpam-5822	704	17	(	(	PUNCT
ejpam-5822	704	18	e	e	NOUN
ejpam-5822	704	19	)	)	PUNCT
ejpam-5822	704	20	cm-1	cm-1	X
ejpam-5822	705	1	(	(	PUNCT
ejpam-5822	705	2	f	f	X
ejpam-5822	705	3	)	)	PUNCT
ejpam-5822	705	4	cm-1	cm-1	X
ejpam-5822	705	5	(	(	PUNCT
ejpam-5822	705	6	g	g	NOUN
ejpam-5822	705	7	)	)	PUNCT
ejpam-5822	705	8	cm-2	cm-2	NOUN
ejpam-5822	705	9	(	(	PUNCT
ejpam-5822	705	10	h	h	NOUN
ejpam-5822	705	11	)	)	PUNCT
ejpam-5822	705	12	cm-2	cm-2	NOUN
ejpam-5822	705	13	(	(	PUNCT
ejpam-5822	705	14	i	i	NOUN
ejpam-5822	705	15	)	)	PUNCT
ejpam-5822	705	16	cm-3	cm-3	ADP
ejpam-5822	705	17	(	(	PUNCT
ejpam-5822	705	18	j	j	NOUN
ejpam-5822	705	19	)	)	PUNCT
ejpam-5822	705	20	cm-3	cm-3	PUNCT
ejpam-5822	705	21	(	(	PUNCT
ejpam-5822	705	22	k	k	NOUN
ejpam-5822	705	23	)	)	PUNCT
ejpam-5822	705	24	cm-4	cm-4	PUNCT
ejpam-5822	705	25	(	(	PUNCT
ejpam-5822	705	26	l	l	NOUN
ejpam-5822	705	27	)	)	PUNCT
ejpam-5822	705	28	cm-4	cm-4	PUNCT
ejpam-5822	705	29	(	(	PUNCT
ejpam-5822	705	30	m	m	NOUN
ejpam-5822	705	31	)	)	PUNCT
ejpam-5822	705	32	cm-5	cm-5	ADP
ejpam-5822	705	33	(	(	PUNCT
ejpam-5822	705	34	n	n	CCONJ
ejpam-5822	705	35	)	)	PUNCT
ejpam-5822	705	36	cm-5	cm-5	PART
ejpam-5822	705	37	figure	figure	VERB
ejpam-5822	705	38	1	1	NUM
ejpam-5822	705	39	:	:	PUNCT
ejpam-5822	705	40	dynamical	dynamical	ADJ
ejpam-5822	705	41	behavior	behavior	NOUN
ejpam-5822	705	42	of	of	ADP
ejpam-5822	705	43	different	different	ADJ
ejpam-5822	705	44	methods	method	NOUN
ejpam-5822	705	45	for	for	ADP
ejpam-5822	705	46	z3	z3	PROPN
ejpam-5822	705	47	(	(	PUNCT
ejpam-5822	705	48	ρ	ρ	NOUN
ejpam-5822	705	49	)	)	PUNCT
ejpam-5822	705	50	to	to	PART
ejpam-5822	705	51	establish	establish	VERB
ejpam-5822	705	52	a	a	DET
ejpam-5822	705	53	basin	basin	NOUN
ejpam-5822	705	54	of	of	ADP
ejpam-5822	705	55	attraction	attraction	NOUN
ejpam-5822	705	56	,	,	PUNCT
ejpam-5822	705	57	we	we	PRON
ejpam-5822	705	58	take	take	VERB
ejpam-5822	705	59	two	two	NUM
ejpam-5822	705	60	distinct	distinct	ADJ
ejpam-5822	705	61	approaches	approach	NOUN
ejpam-5822	705	62	.	.	PUNCT
ejpam-5822	706	1	the	the	DET
ejpam-5822	706	2	first	first	ADJ
ejpam-5822	706	3	approach	approach	NOUN
ejpam-5822	706	4	utilizes	utilize	VERB
ejpam-5822	706	5	a	a	DET
ejpam-5822	706	6	rectangular	rectangular	ADJ
ejpam-5822	706	7	box	box	NOUN
ejpam-5822	706	8	defined	define	VERB
ejpam-5822	706	9	by	by	ADP
ejpam-5822	706	10	[	[	X
ejpam-5822	706	11	−2,2]×	−2,2]×	X
ejpam-5822	706	12	[	[	X
ejpam-5822	706	13	−2,2	−2,2	X
ejpam-5822	706	14	]	]	X
ejpam-5822	706	15	∈	∈	PROPN
ejpam-5822	706	16	c.	c.	PROPN
ejpam-5822	706	17	iterations	iteration	NOUN
ejpam-5822	706	18	are	be	AUX
ejpam-5822	706	19	performed	perform	VERB
ejpam-5822	706	20	up	up	ADP
ejpam-5822	706	21	to	to	ADP
ejpam-5822	706	22	a	a	DET
ejpam-5822	706	23	maximum	maximum	ADJ
ejpam-5822	706	24	s.	s.	PROPN
ejpam-5822	706	25	akram	akram	PROPN
ejpam-5822	706	26	et	et	PROPN
ejpam-5822	706	27	al	al	PROPN
ejpam-5822	706	28	.	.	PUNCT
ejpam-5822	706	29	/	/	SYM
ejpam-5822	706	30	eur	eur	PROPN
ejpam-5822	706	31	.	.	PUNCT
ejpam-5822	707	1	j.	j.	PROPN
ejpam-5822	707	2	pure	pure	PROPN
ejpam-5822	707	3	appl	appl	PROPN
ejpam-5822	707	4	.	.	PROPN
ejpam-5822	707	5	math	math	PROPN
ejpam-5822	707	6	,	,	PUNCT
ejpam-5822	707	7	18	18	NUM
ejpam-5822	707	8	(	(	PUNCT
ejpam-5822	707	9	2	2	NUM
ejpam-5822	707	10	)	)	PUNCT
ejpam-5822	707	11	(	(	PUNCT
ejpam-5822	707	12	2025	2025	NUM
ejpam-5822	707	13	)	)	PUNCT
ejpam-5822	707	14	,	,	PUNCT
ejpam-5822	707	15	5822	5822	NUM
ejpam-5822	707	16	21	21	NUM
ejpam-5822	707	17	of	of	ADP
ejpam-5822	707	18	26	26	NUM
ejpam-5822	707	19	(	(	PUNCT
ejpam-5822	707	20	a	a	NOUN
ejpam-5822	707	21	)	)	PUNCT
ejpam-5822	707	22	sfhm-1	sfhm-1	PROPN
ejpam-5822	707	23	(	(	PUNCT
ejpam-5822	707	24	b	b	NOUN
ejpam-5822	707	25	)	)	PUNCT
ejpam-5822	707	26	sfhm-1	sfhm-1	PROPN
ejpam-5822	707	27	(	(	PUNCT
ejpam-5822	707	28	c	c	NOUN
ejpam-5822	707	29	)	)	PUNCT
ejpam-5822	707	30	sfhm-2	sfhm-2	NOUN
ejpam-5822	707	31	(	(	PUNCT
ejpam-5822	707	32	d	d	NOUN
ejpam-5822	707	33	)	)	PUNCT
ejpam-5822	707	34	sfhm-2	sfhm-2	PROPN
ejpam-5822	707	35	(	(	PUNCT
ejpam-5822	707	36	e	e	NOUN
ejpam-5822	707	37	)	)	PUNCT
ejpam-5822	707	38	cm-1	cm-1	X
ejpam-5822	708	1	(	(	PUNCT
ejpam-5822	708	2	f	f	X
ejpam-5822	708	3	)	)	PUNCT
ejpam-5822	708	4	cm-1	cm-1	X
ejpam-5822	708	5	(	(	PUNCT
ejpam-5822	708	6	g	g	NOUN
ejpam-5822	708	7	)	)	PUNCT
ejpam-5822	708	8	cm-2	cm-2	NOUN
ejpam-5822	708	9	(	(	PUNCT
ejpam-5822	708	10	h	h	NOUN
ejpam-5822	708	11	)	)	PUNCT
ejpam-5822	708	12	cm-2	cm-2	NOUN
ejpam-5822	708	13	(	(	PUNCT
ejpam-5822	708	14	i	i	NOUN
ejpam-5822	708	15	)	)	PUNCT
ejpam-5822	708	16	cm-3	cm-3	ADP
ejpam-5822	708	17	(	(	PUNCT
ejpam-5822	708	18	j	j	NOUN
ejpam-5822	708	19	)	)	PUNCT
ejpam-5822	708	20	cm-3	cm-3	PUNCT
ejpam-5822	708	21	(	(	PUNCT
ejpam-5822	708	22	k	k	NOUN
ejpam-5822	708	23	)	)	PUNCT
ejpam-5822	708	24	cm-4	cm-4	PUNCT
ejpam-5822	708	25	(	(	PUNCT
ejpam-5822	708	26	l	l	NOUN
ejpam-5822	708	27	)	)	PUNCT
ejpam-5822	708	28	cm-4	cm-4	PUNCT
ejpam-5822	708	29	(	(	PUNCT
ejpam-5822	708	30	m	m	NOUN
ejpam-5822	708	31	)	)	PUNCT
ejpam-5822	708	32	cm-5	cm-5	ADP
ejpam-5822	708	33	(	(	PUNCT
ejpam-5822	708	34	n	n	CCONJ
ejpam-5822	708	35	)	)	PUNCT
ejpam-5822	708	36	cm-5	cm-5	PART
ejpam-5822	708	37	figure	figure	VERB
ejpam-5822	708	38	2	2	NUM
ejpam-5822	708	39	:	:	PUNCT
ejpam-5822	708	40	dynamical	dynamical	ADJ
ejpam-5822	708	41	behavior	behavior	NOUN
ejpam-5822	708	42	of	of	ADP
ejpam-5822	708	43	different	different	ADJ
ejpam-5822	708	44	methods	method	NOUN
ejpam-5822	708	45	for	for	ADP
ejpam-5822	708	46	z4	z4	PROPN
ejpam-5822	708	47	(	(	PUNCT
ejpam-5822	708	48	ρ	ρ	PROPN
ejpam-5822	708	49	)	)	PUNCT
ejpam-5822	708	50	of	of	ADP
ejpam-5822	708	51	25	25	NUM
ejpam-5822	708	52	,	,	PUNCT
ejpam-5822	708	53	and	and	CCONJ
ejpam-5822	708	54	the	the	DET
ejpam-5822	708	55	root	root	NOUN
ejpam-5822	708	56	of	of	ADP
ejpam-5822	708	57	the	the	DET
ejpam-5822	708	58	sequence	sequence	NOUN
ejpam-5822	708	59	generated	generate	VERB
ejpam-5822	708	60	using	use	VERB
ejpam-5822	708	61	the	the	DET
ejpam-5822	708	62	iterative	iterative	NOUN
ejpam-5822	708	63	technique	technique	NOUN
ejpam-5822	708	64	converges	converge	NOUN
ejpam-5822	708	65	with	with	ADP
ejpam-5822	708	66	the	the	DET
ejpam-5822	708	67	stopping	stop	VERB
ejpam-5822	708	68	condition	condition	NOUN
ejpam-5822	708	69	|g(u	|g(u	NOUN
ejpam-5822	708	70	j)|	j)|	NOUN
ejpam-5822	708	71	≤	≤	NOUN
ejpam-5822	708	72	10−5	10−5	NUM
ejpam-5822	708	73	.	.	PUNCT
ejpam-5822	709	1	in	in	ADP
ejpam-5822	709	2	this	this	DET
ejpam-5822	709	3	approach	approach	NOUN
ejpam-5822	709	4	,	,	PUNCT
ejpam-5822	709	5	the	the	DET
ejpam-5822	709	6	points	point	NOUN
ejpam-5822	709	7	are	be	AUX
ejpam-5822	709	8	darkened	darken	VERB
ejpam-5822	709	9	based	base	VERB
ejpam-5822	709	10	on	on	ADP
ejpam-5822	709	11	the	the	DET
ejpam-5822	709	12	number	number	NOUN
ejpam-5822	709	13	of	of	ADP
ejpam-5822	709	14	iterations	iteration	NOUN
ejpam-5822	709	15	to	to	PART
ejpam-5822	709	16	visualize	visualize	VERB
ejpam-5822	709	17	the	the	DET
ejpam-5822	709	18	convergence	convergence	NOUN
ejpam-5822	709	19	speed	speed	NOUN
ejpam-5822	709	20	.	.	PUNCT
ejpam-5822	710	1	depending	depend	VERB
ejpam-5822	710	2	on	on	ADP
ejpam-5822	710	3	the	the	DET
ejpam-5822	710	4	root	root	NOUN
ejpam-5822	710	5	of	of	ADP
ejpam-5822	710	6	convergence	convergence	NOUN
ejpam-5822	710	7	of	of	ADP
ejpam-5822	710	8	the	the	DET
ejpam-5822	710	9	iterative	iterative	NOUN
ejpam-5822	710	10	algorithm	algorithm	NOUN
ejpam-5822	710	11	,	,	PUNCT
ejpam-5822	710	12	we	we	PRON
ejpam-5822	710	13	assign	assign	VERB
ejpam-5822	710	14	a	a	DET
ejpam-5822	710	15	color	color	NOUN
ejpam-5822	710	16	to	to	ADP
ejpam-5822	710	17	each	each	DET
ejpam-5822	710	18	initial	initial	ADJ
ejpam-5822	710	19	guess	guess	NOUN
ejpam-5822	710	20	ρ0	ρ0	PROPN
ejpam-5822	710	21	.	.	PUNCT
ejpam-5822	711	1	dark	dark	ADJ
ejpam-5822	711	2	colors	color	NOUN
ejpam-5822	711	3	are	be	AUX
ejpam-5822	711	4	assigned	assign	VERB
ejpam-5822	711	5	to	to	PART
ejpam-5822	711	6	indicate	indicate	VERB
ejpam-5822	711	7	divergence	divergence	NOUN
ejpam-5822	711	8	.	.	PUNCT
ejpam-5822	712	1	in	in	ADP
ejpam-5822	712	2	the	the	DET
ejpam-5822	712	3	second	second	ADJ
ejpam-5822	712	4	approach	approach	NOUN
ejpam-5822	712	5	,	,	PUNCT
ejpam-5822	712	6	each	each	DET
ejpam-5822	712	7	root	root	NOUN
ejpam-5822	712	8	is	be	AUX
ejpam-5822	712	9	given	give	VERB
ejpam-5822	712	10	a	a	DET
ejpam-5822	712	11	distinct	distinct	ADJ
ejpam-5822	712	12	shade	shade	NOUN
ejpam-5822	712	13	,	,	PUNCT
ejpam-5822	712	14	and	and	CCONJ
ejpam-5822	712	15	the	the	DET
ejpam-5822	712	16	points	point	NOUN
ejpam-5822	712	17	are	be	AUX
ejpam-5822	712	18	also	also	ADV
ejpam-5822	712	19	colored	color	VERB
ejpam-5822	712	20	based	base	VERB
ejpam-5822	712	21	on	on	ADP
ejpam-5822	712	22	the	the	DET
ejpam-5822	712	23	distance	distance	NOUN
ejpam-5822	712	24	to	to	ADP
ejpam-5822	712	25	the	the	DET
ejpam-5822	712	26	closest	close	ADJ
ejpam-5822	712	27	root	root	NOUN
ejpam-5822	712	28	.	.	PUNCT
ejpam-5822	713	1	in	in	ADP
ejpam-5822	713	2	other	other	ADJ
ejpam-5822	713	3	words	word	NOUN
ejpam-5822	713	4	,	,	PUNCT
ejpam-5822	713	5	after	after	ADP
ejpam-5822	713	6	identifying	identify	VERB
ejpam-5822	713	7	the	the	DET
ejpam-5822	713	8	nearest	near	ADJ
ejpam-5822	713	9	root	root	NOUN
ejpam-5822	713	10	,	,	PUNCT
ejpam-5822	713	11	we	we	PRON
ejpam-5822	713	12	assign	assign	VERB
ejpam-5822	713	13	its	its	PRON
ejpam-5822	713	14	color	color	NOUN
ejpam-5822	713	15	to	to	ADP
ejpam-5822	713	16	the	the	DET
ejpam-5822	713	17	starting	starting	NOUN
ejpam-5822	713	18	point	point	NOUN
ejpam-5822	713	19	.	.	PUNCT
ejpam-5822	714	1	consequently	consequently	ADV
ejpam-5822	714	2	,	,	PUNCT
ejpam-5822	714	3	this	this	DET
ejpam-5822	714	4	approach	approach	NOUN
ejpam-5822	714	5	illustrates	illustrate	VERB
ejpam-5822	714	6	which	which	PRON
ejpam-5822	714	7	of	of	ADP
ejpam-5822	714	8	the	the	DET
ejpam-5822	714	9	basic	basic	ADJ
ejpam-5822	714	10	iterative	iterative	NOUN
ejpam-5822	714	11	methods	method	NOUN
ejpam-5822	714	12	converges	converge	VERB
ejpam-5822	714	13	.	.	PUNCT
ejpam-5822	715	1	we	we	PRON
ejpam-5822	715	2	use	use	VERB
ejpam-5822	715	3	an	an	DET
ejpam-5822	715	4	error	error	NOUN
ejpam-5822	715	5	estimate	estimate	NOUN
ejpam-5822	715	6	of	of	ADP
ejpam-5822	715	7	less	less	ADJ
ejpam-5822	715	8	than	than	ADP
ejpam-5822	715	9	10−5	10−5	NUM
ejpam-5822	715	10	and	and	CCONJ
ejpam-5822	715	11	a	a	DET
ejpam-5822	715	12	maximum	maximum	NOUN
ejpam-5822	715	13	of	of	ADP
ejpam-5822	715	14	25	25	NUM
ejpam-5822	715	15	iterations	iteration	NOUN
ejpam-5822	715	16	.	.	PUNCT
ejpam-5822	716	1	with	with	ADP
ejpam-5822	716	2	this	this	DET
ejpam-5822	716	3	method	method	NOUN
ejpam-5822	716	4	,	,	PUNCT
ejpam-5822	716	5	each	each	DET
ejpam-5822	716	6	starting	start	VERB
ejpam-5822	716	7	estimate	estimate	NOUN
ejpam-5822	716	8	is	be	AUX
ejpam-5822	716	9	assigned	assign	VERB
ejpam-5822	716	10	a	a	DET
ejpam-5822	716	11	unique	unique	ADJ
ejpam-5822	716	12	shade	shade	NOUN
ejpam-5822	716	13	,	,	PUNCT
ejpam-5822	716	14	and	and	CCONJ
ejpam-5822	716	15	the	the	DET
ejpam-5822	716	16	convergence	convergence	NOUN
ejpam-5822	716	17	of	of	ADP
ejpam-5822	716	18	finding	find	VERB
ejpam-5822	716	19	a	a	DET
ejpam-5822	716	20	root	root	NOUN
ejpam-5822	716	21	of	of	ADP
ejpam-5822	716	22	a	a	DET
ejpam-5822	716	23	specific	specific	ADJ
ejpam-5822	716	24	nonlinear	nonlinear	ADJ
ejpam-5822	716	25	polynomial	polynomial	ADJ
ejpam-5822	716	26	determines	determine	VERB
ejpam-5822	716	27	the	the	DET
ejpam-5822	716	28	number	number	NOUN
ejpam-5822	716	29	of	of	ADP
ejpam-5822	716	30	iterations	iteration	NOUN
ejpam-5822	716	31	.	.	PUNCT
ejpam-5822	717	1	s.	s.	PROPN
ejpam-5822	717	2	akram	akram	PROPN
ejpam-5822	717	3	et	et	PROPN
ejpam-5822	717	4	al	al	PROPN
ejpam-5822	717	5	.	.	PUNCT
ejpam-5822	717	6	/	/	SYM
ejpam-5822	717	7	eur	eur	PROPN
ejpam-5822	717	8	.	.	PUNCT
ejpam-5822	718	1	j.	j.	PROPN
ejpam-5822	718	2	pure	pure	PROPN
ejpam-5822	718	3	appl	appl	PROPN
ejpam-5822	718	4	.	.	PROPN
ejpam-5822	718	5	math	math	PROPN
ejpam-5822	718	6	,	,	PUNCT
ejpam-5822	718	7	18	18	NUM
ejpam-5822	718	8	(	(	PUNCT
ejpam-5822	718	9	2	2	NUM
ejpam-5822	718	10	)	)	PUNCT
ejpam-5822	718	11	(	(	PUNCT
ejpam-5822	718	12	2025	2025	NUM
ejpam-5822	718	13	)	)	PUNCT
ejpam-5822	718	14	,	,	PUNCT
ejpam-5822	718	15	5822	5822	NUM
ejpam-5822	718	16	22	22	NUM
ejpam-5822	718	17	of	of	ADP
ejpam-5822	718	18	26	26	NUM
ejpam-5822	718	19	(	(	PUNCT
ejpam-5822	718	20	a	a	NOUN
ejpam-5822	718	21	)	)	PUNCT
ejpam-5822	718	22	sfhm-1	sfhm-1	PROPN
ejpam-5822	718	23	(	(	PUNCT
ejpam-5822	718	24	b	b	NOUN
ejpam-5822	718	25	)	)	PUNCT
ejpam-5822	718	26	sfhm-1	sfhm-1	PROPN
ejpam-5822	718	27	(	(	PUNCT
ejpam-5822	718	28	c	c	NOUN
ejpam-5822	718	29	)	)	PUNCT
ejpam-5822	718	30	sfhm-2	sfhm-2	NOUN
ejpam-5822	718	31	(	(	PUNCT
ejpam-5822	718	32	d	d	NOUN
ejpam-5822	718	33	)	)	PUNCT
ejpam-5822	718	34	sfhm-2	sfhm-2	PROPN
ejpam-5822	718	35	(	(	PUNCT
ejpam-5822	718	36	e	e	NOUN
ejpam-5822	718	37	)	)	PUNCT
ejpam-5822	718	38	cm-1	cm-1	X
ejpam-5822	719	1	(	(	PUNCT
ejpam-5822	719	2	f	f	X
ejpam-5822	719	3	)	)	PUNCT
ejpam-5822	719	4	cm-1	cm-1	X
ejpam-5822	719	5	(	(	PUNCT
ejpam-5822	719	6	g	g	NOUN
ejpam-5822	719	7	)	)	PUNCT
ejpam-5822	719	8	cm-2	cm-2	NOUN
ejpam-5822	719	9	(	(	PUNCT
ejpam-5822	719	10	h	h	NOUN
ejpam-5822	719	11	)	)	PUNCT
ejpam-5822	719	12	cm-2	cm-2	NOUN
ejpam-5822	719	13	(	(	PUNCT
ejpam-5822	719	14	i	i	NOUN
ejpam-5822	719	15	)	)	PUNCT
ejpam-5822	719	16	cm-3	cm-3	ADP
ejpam-5822	719	17	(	(	PUNCT
ejpam-5822	719	18	j	j	NOUN
ejpam-5822	719	19	)	)	PUNCT
ejpam-5822	719	20	cm-3	cm-3	PUNCT
ejpam-5822	719	21	(	(	PUNCT
ejpam-5822	719	22	k	k	NOUN
ejpam-5822	719	23	)	)	PUNCT
ejpam-5822	719	24	cm-4	cm-4	PUNCT
ejpam-5822	719	25	(	(	PUNCT
ejpam-5822	719	26	l	l	NOUN
ejpam-5822	719	27	)	)	PUNCT
ejpam-5822	719	28	cm-4	cm-4	PUNCT
ejpam-5822	719	29	(	(	PUNCT
ejpam-5822	719	30	m	m	NOUN
ejpam-5822	719	31	)	)	PUNCT
ejpam-5822	719	32	cm-5	cm-5	ADP
ejpam-5822	719	33	(	(	PUNCT
ejpam-5822	719	34	n	n	CCONJ
ejpam-5822	719	35	)	)	PUNCT
ejpam-5822	719	36	cm-5	cm-5	PRON
ejpam-5822	719	37	figure	figure	VERB
ejpam-5822	719	38	3	3	NUM
ejpam-5822	719	39	:	:	PUNCT
ejpam-5822	719	40	dynamical	dynamical	ADJ
ejpam-5822	719	41	behavior	behavior	NOUN
ejpam-5822	719	42	of	of	ADP
ejpam-5822	719	43	different	different	ADJ
ejpam-5822	719	44	methods	method	NOUN
ejpam-5822	719	45	for	for	ADP
ejpam-5822	719	46	z5	z5	PROPN
ejpam-5822	719	47	(	(	PUNCT
ejpam-5822	719	48	ρ	ρ	NOUN
ejpam-5822	719	49	)	)	PUNCT
ejpam-5822	719	50	two	two	NUM
ejpam-5822	719	51	distinct	distinct	ADJ
ejpam-5822	719	52	strategies	strategy	NOUN
ejpam-5822	719	53	were	be	AUX
ejpam-5822	719	54	utilized	utilize	VERB
ejpam-5822	719	55	to	to	PART
ejpam-5822	719	56	create	create	VERB
ejpam-5822	719	57	polynomiographs	polynomiograph	NOUN
ejpam-5822	719	58	using	use	VERB
ejpam-5822	719	59	matlab	matlab	PROPN
ejpam-5822	719	60	r2014a	r2014a	PROPN
ejpam-5822	719	61	.	.	PUNCT
ejpam-5822	719	62	to	to	PART
ejpam-5822	719	63	create	create	VERB
ejpam-5822	719	64	dynamic	dynamic	ADJ
ejpam-5822	719	65	planes	plane	NOUN
ejpam-5822	719	66	,	,	PUNCT
ejpam-5822	719	67	we	we	PRON
ejpam-5822	719	68	consider	consider	VERB
ejpam-5822	719	69	three	three	NUM
ejpam-5822	719	70	complex	complex	ADJ
ejpam-5822	719	71	functions	function	NOUN
ejpam-5822	719	72	for	for	ADP
ejpam-5822	719	73	dynamic	dynamic	ADJ
ejpam-5822	719	74	testing	testing	NOUN
ejpam-5822	719	75	.	.	PUNCT
ejpam-5822	720	1	these	these	DET
ejpam-5822	720	2	functions	function	NOUN
ejpam-5822	720	3	are	be	AUX
ejpam-5822	720	4	provided	provide	VERB
ejpam-5822	720	5	by	by	ADP
ejpam-5822	720	6	:	:	PUNCT
ejpam-5822	720	7	z3	z3	PROPN
ejpam-5822	720	8	(	(	PUNCT
ejpam-5822	720	9	ρ	ρ	NOUN
ejpam-5822	720	10	)	)	PUNCT
ejpam-5822	721	1	=	=	SYM
ejpam-5822	721	2	ρ	ρ	PROPN
ejpam-5822	721	3	3	3	NUM
ejpam-5822	721	4	−1	−1	NOUN
ejpam-5822	721	5	,	,	PUNCT
ejpam-5822	721	6	ρ	ρ	PROPN
ejpam-5822	721	7	=	=	SYM
ejpam-5822	721	8	1.0	1.0	NUM
ejpam-5822	721	9	,	,	PUNCT
ejpam-5822	721	10	−0.5000	−0.5000	NUM
ejpam-5822	721	11	+	+	SYM
ejpam-5822	721	12	0.86605i	0.86605i	PROPN
ejpam-5822	721	13	,	,	PUNCT
ejpam-5822	721	14	−0.5000−0.86605i	−0.5000−0.86605i	NOUN
ejpam-5822	721	15	,	,	PUNCT
ejpam-5822	721	16	z4	z4	PROPN
ejpam-5822	721	17	(	(	PUNCT
ejpam-5822	721	18	ρ	ρ	PROPN
ejpam-5822	721	19	)	)	PUNCT
ejpam-5822	721	20	=	=	SYM
ejpam-5822	722	1	ρ	ρ	PROPN
ejpam-5822	722	2	4	4	NUM
ejpam-5822	722	3	−10ρ	−10ρ	SYM
ejpam-5822	722	4	2	2	NUM
ejpam-5822	722	5	+9	+9	NUM
ejpam-5822	722	6	,	,	PUNCT
ejpam-5822	722	7	ρ	ρ	PROPN
ejpam-5822	722	8	=	=	SYM
ejpam-5822	722	9	1.0	1.0	NUM
ejpam-5822	722	10	,	,	PUNCT
ejpam-5822	722	11	−3.0	−3.0	PROPN
ejpam-5822	722	12	,	,	PUNCT
ejpam-5822	722	13	3.0	3.0	NUM
ejpam-5822	722	14	,	,	PUNCT
ejpam-5822	722	15	−1.0	−1.0	PROPN
ejpam-5822	722	16	,	,	PUNCT
ejpam-5822	722	17	z5(ρ	z5(ρ	PROPN
ejpam-5822	722	18	)	)	PUNCT
ejpam-5822	722	19	=	=	SYM
ejpam-5822	723	1	ρ	ρ	PROPN
ejpam-5822	723	2	5	5	NUM
ejpam-5822	723	3	−1	−1	NOUN
ejpam-5822	723	4	,	,	PUNCT
ejpam-5822	723	5	ρ	ρ	PROPN
ejpam-5822	723	6	=	=	SYM
ejpam-5822	723	7	1.0	1.0	NUM
ejpam-5822	723	8	,	,	PUNCT
ejpam-5822	723	9	0.3090−0.951i	0.3090−0.951i	NOUN
ejpam-5822	723	10	,	,	PUNCT
ejpam-5822	723	11	0.309	0.309	NUM
ejpam-5822	723	12	+	+	SYM
ejpam-5822	723	13	0.951i	0.951i	NOUN
ejpam-5822	723	14	,	,	PUNCT
ejpam-5822	723	15	−0.809−0.587i	−0.809−0.587i	NOUN
ejpam-5822	723	16	,	,	PUNCT
ejpam-5822	723	17	0.809	0.809	NUM
ejpam-5822	723	18	+	+	NOUN
ejpam-5822	723	19	0.587i	0.587i	NOUN
ejpam-5822	723	20	the	the	DET
ejpam-5822	723	21	complex	complex	ADJ
ejpam-5822	723	22	planes	plane	NOUN
ejpam-5822	723	23	of	of	ADP
ejpam-5822	723	24	the	the	DET
ejpam-5822	723	25	suggested	suggest	VERB
ejpam-5822	723	26	techniques	technique	NOUN
ejpam-5822	723	27	(	(	PUNCT
ejpam-5822	723	28	sfhm-1	sfhm-1	NOUN
ejpam-5822	723	29	)	)	PUNCT
ejpam-5822	723	30	and	and	CCONJ
ejpam-5822	723	31	(	(	PUNCT
ejpam-5822	723	32	sfhm-2	sfhm-2	NOUN
ejpam-5822	723	33	)	)	PUNCT
ejpam-5822	723	34	as	as	ADV
ejpam-5822	723	35	well	well	ADV
ejpam-5822	723	36	as	as	ADP
ejpam-5822	723	37	the	the	DET
ejpam-5822	723	38	previously	previously	ADV
ejpam-5822	723	39	constructed	construct	VERB
ejpam-5822	723	40	algorithms	algorithm	NOUN
ejpam-5822	723	41	by	by	ADP
ejpam-5822	723	42	sharifi	sharifi	NOUN
ejpam-5822	723	43	et	et	PROPN
ejpam-5822	723	44	al	al	PROPN
ejpam-5822	723	45	.	.	PUNCT
ejpam-5822	724	1	[	[	X
ejpam-5822	724	2	20	20	NUM
ejpam-5822	724	3	]	]	PUNCT
ejpam-5822	724	4	(	(	PUNCT
ejpam-5822	724	5	cm-1	cm-1	PROPN
ejpam-5822	724	6	)	)	PUNCT
ejpam-5822	724	7	,	,	PUNCT
ejpam-5822	724	8	sharma	sharma	PROPN
ejpam-5822	724	9	et	et	PROPN
ejpam-5822	724	10	al	al	PROPN
ejpam-5822	724	11	.	.	PUNCT
ejpam-5822	725	1	[	[	X
ejpam-5822	725	2	21	21	NUM
ejpam-5822	725	3	]	]	X
ejpam-5822	725	4	(	(	PUNCT
ejpam-5822	725	5	cm-2	cm-2	NOUN
ejpam-5822	725	6	)	)	PUNCT
ejpam-5822	725	7	,	,	PUNCT
ejpam-5822	725	8	sivakumar	sivakumar	PROPN
ejpam-5822	725	9	s.	s.	PROPN
ejpam-5822	725	10	akram	akram	PROPN
ejpam-5822	725	11	et	et	PROPN
ejpam-5822	725	12	al	al	PROPN
ejpam-5822	725	13	.	.	PUNCT
ejpam-5822	725	14	/	/	SYM
ejpam-5822	725	15	eur	eur	PROPN
ejpam-5822	725	16	.	.	PUNCT
ejpam-5822	726	1	j.	j.	PROPN
ejpam-5822	726	2	pure	pure	PROPN
ejpam-5822	726	3	appl	appl	PROPN
ejpam-5822	726	4	.	.	PROPN
ejpam-5822	726	5	math	math	PROPN
ejpam-5822	726	6	,	,	PUNCT
ejpam-5822	726	7	18	18	NUM
ejpam-5822	726	8	(	(	PUNCT
ejpam-5822	726	9	2	2	NUM
ejpam-5822	726	10	)	)	PUNCT
ejpam-5822	726	11	(	(	PUNCT
ejpam-5822	726	12	2025	2025	NUM
ejpam-5822	726	13	)	)	PUNCT
ejpam-5822	726	14	,	,	PUNCT
ejpam-5822	726	15	5822	5822	NUM
ejpam-5822	726	16	23	23	NUM
ejpam-5822	726	17	of	of	ADP
ejpam-5822	726	18	26	26	NUM
ejpam-5822	726	19	et	et	NOUN
ejpam-5822	726	20	al	al	PROPN
ejpam-5822	726	21	.	.	PUNCT
ejpam-5822	727	1	[	[	X
ejpam-5822	727	2	28	28	NUM
ejpam-5822	727	3	]	]	X
ejpam-5822	727	4	(	(	PUNCT
ejpam-5822	727	5	cm-3	cm-3	NOUN
ejpam-5822	727	6	)	)	PUNCT
ejpam-5822	727	7	,	,	PUNCT
ejpam-5822	727	8	nusrat	nusrat	PROPN
ejpam-5822	727	9	et	et	PROPN
ejpam-5822	727	10	al	al	PROPN
ejpam-5822	727	11	.	.	PUNCT
ejpam-5822	728	1	[	[	X
ejpam-5822	728	2	29	29	NUM
ejpam-5822	728	3	]	]	SYM
ejpam-5822	728	4	(	(	PUNCT
ejpam-5822	728	5	cm-4	cm-4	NUM
ejpam-5822	728	6	)	)	PUNCT
ejpam-5822	728	7	,	,	PUNCT
ejpam-5822	728	8	and	and	CCONJ
ejpam-5822	728	9	soleymani	soleymani	PROPN
ejpam-5822	728	10	et	et	PROPN
ejpam-5822	728	11	al	al	PROPN
ejpam-5822	728	12	.	.	PUNCT
ejpam-5822	729	1	[	[	X
ejpam-5822	729	2	30	30	NUM
ejpam-5822	729	3	]	]	PUNCT
ejpam-5822	729	4	(	(	PUNCT
ejpam-5822	729	5	cm-5	cm-5	NOUN
ejpam-5822	729	6	)	)	PUNCT
ejpam-5822	729	7	are	be	AUX
ejpam-5822	729	8	shown	show	VERB
ejpam-5822	729	9	in	in	ADP
ejpam-5822	729	10	figures	figure	NOUN
ejpam-5822	729	11	1	1	NUM
ejpam-5822	729	12	-	-	SYM
ejpam-5822	729	13	3	3	NUM
ejpam-5822	729	14	.	.	PUNCT
ejpam-5822	730	1	there	there	PRON
ejpam-5822	730	2	are	be	VERB
ejpam-5822	730	3	two	two	NUM
ejpam-5822	730	4	different	different	ADJ
ejpam-5822	730	5	kinds	kind	NOUN
ejpam-5822	730	6	of	of	ADP
ejpam-5822	730	7	basins	basin	NOUN
ejpam-5822	730	8	of	of	ADP
ejpam-5822	730	9	attraction	attraction	NOUN
ejpam-5822	730	10	illustrated	illustrate	VERB
ejpam-5822	730	11	in	in	ADP
ejpam-5822	730	12	all	all	DET
ejpam-5822	730	13	these	these	DET
ejpam-5822	730	14	figures	figure	NOUN
ejpam-5822	730	15	:	:	PUNCT
ejpam-5822	730	16	based	base	VERB
ejpam-5822	730	17	on	on	ADP
ejpam-5822	730	18	the	the	DET
ejpam-5822	730	19	larger	large	ADJ
ejpam-5822	730	20	and	and	CCONJ
ejpam-5822	730	21	darker	dark	ADJ
ejpam-5822	730	22	regions	region	NOUN
ejpam-5822	730	23	of	of	ADP
ejpam-5822	730	24	convergence	convergence	NOUN
ejpam-5822	730	25	observed	observe	VERB
ejpam-5822	730	26	in	in	ADP
ejpam-5822	730	27	figures	figure	NOUN
ejpam-5822	730	28	1	1	NUM
ejpam-5822	730	29	-	-	SYM
ejpam-5822	730	30	3	3	NUM
ejpam-5822	730	31	when	when	SCONJ
ejpam-5822	730	32	compared	compare	VERB
ejpam-5822	730	33	to	to	ADP
ejpam-5822	730	34	other	other	ADJ
ejpam-5822	730	35	techniques	technique	NOUN
ejpam-5822	730	36	,	,	PUNCT
ejpam-5822	730	37	it	it	PRON
ejpam-5822	730	38	is	be	AUX
ejpam-5822	730	39	evident	evident	ADJ
ejpam-5822	730	40	that	that	SCONJ
ejpam-5822	730	41	our	our	PRON
ejpam-5822	730	42	proposed	propose	VERB
ejpam-5822	730	43	methods	method	NOUN
ejpam-5822	730	44	,	,	PUNCT
ejpam-5822	730	45	sfhm-1	sfhm-1	NUM
ejpam-5822	730	46	and	and	CCONJ
ejpam-5822	730	47	sfhm-2	sfhm-2	PROPN
ejpam-5822	730	48	,	,	PUNCT
ejpam-5822	730	49	exhibit	exhibit	VERB
ejpam-5822	730	50	a	a	DET
ejpam-5822	730	51	significantly	significantly	ADV
ejpam-5822	730	52	higher	high	ADJ
ejpam-5822	730	53	order	order	NOUN
ejpam-5822	730	54	of	of	ADP
ejpam-5822	730	55	convergence	convergence	NOUN
ejpam-5822	730	56	.	.	PUNCT
ejpam-5822	731	1	these	these	DET
ejpam-5822	731	2	methods	method	NOUN
ejpam-5822	731	3	also	also	ADV
ejpam-5822	731	4	encompass	encompass	VERB
ejpam-5822	731	5	a	a	DET
ejpam-5822	731	6	broader	broad	ADJ
ejpam-5822	731	7	range	range	NOUN
ejpam-5822	731	8	of	of	ADP
ejpam-5822	731	9	initial	initial	ADJ
ejpam-5822	731	10	conditions	condition	NOUN
ejpam-5822	731	11	that	that	PRON
ejpam-5822	731	12	successfully	successfully	ADV
ejpam-5822	731	13	lead	lead	VERB
ejpam-5822	731	14	to	to	ADP
ejpam-5822	731	15	convergence	convergence	NOUN
ejpam-5822	731	16	.	.	PUNCT
ejpam-5822	732	1	furthermore	furthermore	ADV
ejpam-5822	732	2	,	,	PUNCT
ejpam-5822	732	3	the	the	DET
ejpam-5822	732	4	convergence	convergence	NOUN
ejpam-5822	732	5	regions	region	NOUN
ejpam-5822	732	6	of	of	ADP
ejpam-5822	732	7	sfhm-1	sfhm-1	NUM
ejpam-5822	732	8	and	and	CCONJ
ejpam-5822	732	9	sfhm-2	sfhm-2	PROPN
ejpam-5822	732	10	are	be	AUX
ejpam-5822	732	11	not	not	PART
ejpam-5822	732	12	only	only	ADV
ejpam-5822	732	13	wider	wide	ADJ
ejpam-5822	732	14	but	but	CCONJ
ejpam-5822	732	15	also	also	ADV
ejpam-5822	732	16	display	display	VERB
ejpam-5822	732	17	substantially	substantially	ADV
ejpam-5822	732	18	reduced	reduce	VERB
ejpam-5822	732	19	chaotic	chaotic	ADJ
ejpam-5822	732	20	behavior	behavior	NOUN
ejpam-5822	732	21	compared	compare	VERB
ejpam-5822	732	22	to	to	ADP
ejpam-5822	732	23	the	the	DET
ejpam-5822	732	24	competing	compete	VERB
ejpam-5822	732	25	methods	method	NOUN
ejpam-5822	732	26	cm-1	cm-1	NOUN
ejpam-5822	732	27	,	,	PUNCT
ejpam-5822	732	28	cm-2	cm-2	NOUN
ejpam-5822	732	29	,	,	PUNCT
ejpam-5822	732	30	and	and	CCONJ
ejpam-5822	732	31	cm-3	cm-3	ADV
ejpam-5822	732	32	.	.	PUNCT
ejpam-5822	733	1	the	the	DET
ejpam-5822	733	2	methods	method	NOUN
ejpam-5822	733	3	cm-4	cm-4	X
ejpam-5822	733	4	and	and	CCONJ
ejpam-5822	733	5	cm-5	cm-5	AUX
ejpam-5822	733	6	exhibit	exhibit	VERB
ejpam-5822	733	7	extensive	extensive	ADJ
ejpam-5822	733	8	divergence	divergence	NOUN
ejpam-5822	733	9	regions	region	NOUN
ejpam-5822	733	10	across	across	ADP
ejpam-5822	733	11	all	all	DET
ejpam-5822	733	12	tested	test	VERB
ejpam-5822	733	13	complex	complex	ADJ
ejpam-5822	733	14	functions	function	NOUN
ejpam-5822	733	15	,	,	PUNCT
ejpam-5822	733	16	indicating	indicate	VERB
ejpam-5822	733	17	their	their	PRON
ejpam-5822	733	18	limited	limited	ADJ
ejpam-5822	733	19	reliability	reliability	NOUN
ejpam-5822	733	20	and	and	CCONJ
ejpam-5822	733	21	effectiveness	effectiveness	NOUN
ejpam-5822	733	22	in	in	ADP
ejpam-5822	733	23	these	these	DET
ejpam-5822	733	24	scenarios	scenario	NOUN
ejpam-5822	733	25	.	.	PUNCT
ejpam-5822	734	1	for	for	ADP
ejpam-5822	734	2	the	the	DET
ejpam-5822	734	3	complex	complex	ADJ
ejpam-5822	734	4	polynomial	polynomial	ADJ
ejpam-5822	734	5	z3(ρ	z3(ρ	NUM
ejpam-5822	734	6	)	)	PUNCT
ejpam-5822	734	7	,	,	PUNCT
ejpam-5822	734	8	sfhm-1	sfhm-1	NUM
ejpam-5822	734	9	and	and	CCONJ
ejpam-5822	734	10	sfhm-2	sfhm-2	PROPN
ejpam-5822	734	11	exhibit	exhibit	VERB
ejpam-5822	734	12	larger	large	ADJ
ejpam-5822	734	13	and	and	CCONJ
ejpam-5822	734	14	darker	dark	ADJ
ejpam-5822	734	15	convergence	convergence	NOUN
ejpam-5822	734	16	regions	region	NOUN
ejpam-5822	734	17	with	with	ADP
ejpam-5822	734	18	significantly	significantly	ADV
ejpam-5822	734	19	reduced	reduce	VERB
ejpam-5822	734	20	chaotic	chaotic	ADJ
ejpam-5822	734	21	behavior	behavior	NOUN
ejpam-5822	734	22	compared	compare	VERB
ejpam-5822	734	23	to	to	ADP
ejpam-5822	734	24	cm-2	cm-2	NOUN
ejpam-5822	734	25	,	,	PUNCT
ejpam-5822	734	26	cm-4	cm-4	NOUN
ejpam-5822	734	27	,	,	PUNCT
ejpam-5822	734	28	and	and	CCONJ
ejpam-5822	734	29	particularly	particularly	ADV
ejpam-5822	734	30	cm-5	cm-5	ADP
ejpam-5822	734	31	,	,	PUNCT
ejpam-5822	734	32	which	which	PRON
ejpam-5822	734	33	demonstrates	demonstrate	VERB
ejpam-5822	734	34	an	an	DET
ejpam-5822	734	35	extensive	extensive	ADJ
ejpam-5822	734	36	divergence	divergence	NOUN
ejpam-5822	734	37	region	region	NOUN
ejpam-5822	734	38	.	.	PUNCT
ejpam-5822	735	1	although	although	SCONJ
ejpam-5822	735	2	cm-1	cm-1	PROPN
ejpam-5822	735	3	and	and	CCONJ
ejpam-5822	735	4	cm-3	cm-3	ADV
ejpam-5822	735	5	display	display	VERB
ejpam-5822	735	6	relatively	relatively	ADV
ejpam-5822	735	7	smaller	small	ADJ
ejpam-5822	735	8	divergence	divergence	NOUN
ejpam-5822	735	9	regions	region	NOUN
ejpam-5822	735	10	,	,	PUNCT
ejpam-5822	735	11	they	they	PRON
ejpam-5822	735	12	exhibit	exhibit	VERB
ejpam-5822	735	13	higher	high	ADJ
ejpam-5822	735	14	chaotic	chaotic	ADJ
ejpam-5822	735	15	behavior	behavior	NOUN
ejpam-5822	735	16	,	,	PUNCT
ejpam-5822	735	17	making	make	VERB
ejpam-5822	735	18	them	they	PRON
ejpam-5822	735	19	less	less	ADV
ejpam-5822	735	20	stable	stable	ADJ
ejpam-5822	735	21	in	in	ADP
ejpam-5822	735	22	this	this	DET
ejpam-5822	735	23	case	case	NOUN
ejpam-5822	735	24	.	.	PUNCT
ejpam-5822	736	1	a	a	DET
ejpam-5822	736	2	similar	similar	ADJ
ejpam-5822	736	3	pattern	pattern	NOUN
ejpam-5822	736	4	is	be	AUX
ejpam-5822	736	5	observed	observe	VERB
ejpam-5822	736	6	for	for	ADP
ejpam-5822	736	7	the	the	DET
ejpam-5822	736	8	complex	complex	ADJ
ejpam-5822	736	9	polynomial	polynomial	ADJ
ejpam-5822	736	10	z4(ρ	z4(ρ	NUM
ejpam-5822	736	11	)	)	PUNCT
ejpam-5822	736	12	,	,	PUNCT
ejpam-5822	736	13	where	where	SCONJ
ejpam-5822	736	14	sfhm-1	sfhm-1	NUM
ejpam-5822	736	15	and	and	CCONJ
ejpam-5822	736	16	sfhm-2	sfhm-2	PROPN
ejpam-5822	736	17	consistently	consistently	ADV
ejpam-5822	736	18	demonstrate	demonstrate	VERB
ejpam-5822	736	19	superior	superior	ADJ
ejpam-5822	736	20	stability	stability	NOUN
ejpam-5822	736	21	and	and	CCONJ
ejpam-5822	736	22	broader	broad	ADJ
ejpam-5822	736	23	convergence	convergence	NOUN
ejpam-5822	736	24	regions	region	NOUN
ejpam-5822	736	25	.	.	PUNCT
ejpam-5822	737	1	in	in	ADP
ejpam-5822	737	2	the	the	DET
ejpam-5822	737	3	case	case	NOUN
ejpam-5822	737	4	of	of	ADP
ejpam-5822	737	5	z5(ρ	z5(ρ	PROPN
ejpam-5822	737	6	)	)	PUNCT
ejpam-5822	737	7	,	,	PUNCT
ejpam-5822	737	8	these	these	DET
ejpam-5822	737	9	methods	method	NOUN
ejpam-5822	737	10	continue	continue	VERB
ejpam-5822	737	11	to	to	PART
ejpam-5822	737	12	perform	perform	VERB
ejpam-5822	737	13	effectively	effectively	ADV
ejpam-5822	737	14	,	,	PUNCT
ejpam-5822	737	15	maintaining	maintain	VERB
ejpam-5822	737	16	a	a	DET
ejpam-5822	737	17	large	large	ADJ
ejpam-5822	737	18	convergence	convergence	NOUN
ejpam-5822	737	19	region	region	NOUN
ejpam-5822	737	20	with	with	ADP
ejpam-5822	737	21	minimal	minimal	ADJ
ejpam-5822	737	22	chaotic	chaotic	ADJ
ejpam-5822	737	23	behavior	behavior	NOUN
ejpam-5822	737	24	and	and	CCONJ
ejpam-5822	737	25	reduced	reduce	VERB
ejpam-5822	737	26	divergence	divergence	NOUN
ejpam-5822	737	27	.	.	PUNCT
ejpam-5822	738	1	in	in	ADP
ejpam-5822	738	2	contrast	contrast	NOUN
ejpam-5822	738	3	,	,	PUNCT
ejpam-5822	738	4	the	the	DET
ejpam-5822	738	5	other	other	ADJ
ejpam-5822	738	6	methods	method	NOUN
ejpam-5822	738	7	exhibit	exhibit	VERB
ejpam-5822	738	8	significantly	significantly	ADV
ejpam-5822	738	9	larger	large	ADJ
ejpam-5822	738	10	divergence	divergence	NOUN
ejpam-5822	738	11	regions	region	NOUN
ejpam-5822	738	12	and	and	CCONJ
ejpam-5822	738	13	pronounced	pronounce	VERB
ejpam-5822	738	14	chaotic	chaotic	ADJ
ejpam-5822	738	15	behavior	behavior	NOUN
ejpam-5822	738	16	,	,	PUNCT
ejpam-5822	738	17	leading	lead	VERB
ejpam-5822	738	18	to	to	ADP
ejpam-5822	738	19	slower	slow	ADJ
ejpam-5822	738	20	convergence	convergence	NOUN
ejpam-5822	738	21	and	and	CCONJ
ejpam-5822	738	22	instability	instability	NOUN
ejpam-5822	738	23	in	in	ADP
ejpam-5822	738	24	initial	initial	ADJ
ejpam-5822	738	25	conditions	condition	NOUN
ejpam-5822	738	26	.	.	PUNCT
ejpam-5822	739	1	consequently	consequently	ADV
ejpam-5822	739	2	,	,	PUNCT
ejpam-5822	739	3	the	the	DET
ejpam-5822	739	4	results	result	NOUN
ejpam-5822	739	5	indicate	indicate	VERB
ejpam-5822	739	6	that	that	SCONJ
ejpam-5822	739	7	sfhm-1	sfhm-1	PROPN
ejpam-5822	739	8	and	and	CCONJ
ejpam-5822	739	9	sfhm-2	sfhm-2	PROPN
ejpam-5822	739	10	maintain	maintain	VERB
ejpam-5822	739	11	their	their	PRON
ejpam-5822	739	12	stability	stability	NOUN
ejpam-5822	739	13	even	even	ADV
ejpam-5822	739	14	as	as	ADP
ejpam-5822	739	15	the	the	DET
ejpam-5822	739	16	degree	degree	NOUN
ejpam-5822	739	17	of	of	ADP
ejpam-5822	739	18	the	the	DET
ejpam-5822	739	19	complex	complex	ADJ
ejpam-5822	739	20	polynomial	polynomial	ADJ
ejpam-5822	739	21	increases	increase	NOUN
ejpam-5822	739	22	,	,	PUNCT
ejpam-5822	739	23	confirming	confirm	VERB
ejpam-5822	739	24	their	their	PRON
ejpam-5822	739	25	effectiveness	effectiveness	NOUN
ejpam-5822	739	26	for	for	ADP
ejpam-5822	739	27	high	high	ADJ
ejpam-5822	739	28	-	-	PUNCT
ejpam-5822	739	29	degree	degree	NOUN
ejpam-5822	739	30	polynomials	polynomial	NOUN
ejpam-5822	739	31	.	.	PUNCT
ejpam-5822	740	1	their	their	PRON
ejpam-5822	740	2	ability	ability	NOUN
ejpam-5822	740	3	to	to	PART
ejpam-5822	740	4	provide	provide	VERB
ejpam-5822	740	5	larger	large	ADJ
ejpam-5822	740	6	,	,	PUNCT
ejpam-5822	740	7	more	more	ADV
ejpam-5822	740	8	stable	stable	ADJ
ejpam-5822	740	9	convergence	convergence	NOUN
ejpam-5822	740	10	regions	region	NOUN
ejpam-5822	740	11	while	while	SCONJ
ejpam-5822	740	12	ensuring	ensure	VERB
ejpam-5822	740	13	accuracy	accuracy	NOUN
ejpam-5822	740	14	and	and	CCONJ
ejpam-5822	740	15	efficiency	efficiency	NOUN
ejpam-5822	740	16	establishes	establish	VERB
ejpam-5822	740	17	them	they	PRON
ejpam-5822	740	18	as	as	ADP
ejpam-5822	740	19	superior	superior	ADJ
ejpam-5822	740	20	alternatives	alternative	NOUN
ejpam-5822	740	21	to	to	ADP
ejpam-5822	740	22	the	the	DET
ejpam-5822	740	23	existing	exist	VERB
ejpam-5822	740	24	techniques	technique	NOUN
ejpam-5822	740	25	cm-1cm-5	cm-1cm-5	NOUN
ejpam-5822	740	26	.	.	PROPN
ejpam-5822	741	1	6	6	NUM
ejpam-5822	741	2	.	.	X
ejpam-5822	741	3	conclusion	conclusion	NOUN
ejpam-5822	741	4	in	in	ADP
ejpam-5822	741	5	this	this	DET
ejpam-5822	741	6	research	research	NOUN
ejpam-5822	741	7	,	,	PUNCT
ejpam-5822	741	8	we	we	PRON
ejpam-5822	741	9	have	have	AUX
ejpam-5822	741	10	presented	present	VERB
ejpam-5822	741	11	novel	novel	ADJ
ejpam-5822	741	12	four	four	NUM
ejpam-5822	741	13	-	-	PUNCT
ejpam-5822	741	14	point	point	NOUN
ejpam-5822	741	15	iterative	iterative	NOUN
ejpam-5822	741	16	methods	method	NOUN
ejpam-5822	741	17	,	,	PUNCT
ejpam-5822	741	18	referred	refer	VERB
ejpam-5822	741	19	to	to	ADP
ejpam-5822	741	20	as	as	ADP
ejpam-5822	741	21	sfhm1	sfhm1	PROPN
ejpam-5822	741	22	and	and	CCONJ
ejpam-5822	741	23	sfhm-2	sfhm-2	PROPN
ejpam-5822	741	24	,	,	PUNCT
ejpam-5822	741	25	which	which	PRON
ejpam-5822	741	26	are	be	AUX
ejpam-5822	741	27	developed	develop	VERB
ejpam-5822	741	28	within	within	ADP
ejpam-5822	741	29	the	the	DET
ejpam-5822	741	30	framework	framework	NOUN
ejpam-5822	741	31	of	of	ADP
ejpam-5822	741	32	a	a	DET
ejpam-5822	741	33	weighted	weight	VERB
ejpam-5822	741	34	steffensen	steffensen	NOUN
ejpam-5822	741	35	-	-	PUNCT
ejpam-5822	741	36	ostrowski	ostrowski	NOUN
ejpam-5822	741	37	family	family	NOUN
ejpam-5822	741	38	.	.	PUNCT
ejpam-5822	742	1	these	these	DET
ejpam-5822	742	2	methods	method	NOUN
ejpam-5822	742	3	utilize	utilize	VERB
ejpam-5822	742	4	the	the	DET
ejpam-5822	742	5	lagrange	lagrange	PROPN
ejpam-5822	742	6	interpolation	interpolation	NOUN
ejpam-5822	742	7	technique	technique	NOUN
ejpam-5822	742	8	,	,	PUNCT
ejpam-5822	742	9	involving	involve	VERB
ejpam-5822	742	10	five	five	NUM
ejpam-5822	742	11	function	function	NOUN
ejpam-5822	742	12	evaluations	evaluation	NOUN
ejpam-5822	742	13	per	per	ADP
ejpam-5822	742	14	iteration	iteration	NOUN
ejpam-5822	742	15	,	,	PUNCT
ejpam-5822	742	16	achieving	achieve	VERB
ejpam-5822	742	17	a	a	DET
ejpam-5822	742	18	validated	validate	VERB
ejpam-5822	742	19	sixteenth	sixteenth	ADJ
ejpam-5822	742	20	-	-	PUNCT
ejpam-5822	742	21	order	order	NOUN
ejpam-5822	742	22	convergence	convergence	NOUN
ejpam-5822	742	23	and	and	CCONJ
ejpam-5822	742	24	supporting	support	VERB
ejpam-5822	742	25	the	the	DET
ejpam-5822	742	26	kungtraub	kungtraub	ADJ
ejpam-5822	742	27	conjecture	conjecture	NOUN
ejpam-5822	742	28	.	.	PUNCT
ejpam-5822	743	1	additionally	additionally	ADV
ejpam-5822	743	2	,	,	PUNCT
ejpam-5822	743	3	we	we	PRON
ejpam-5822	743	4	have	have	AUX
ejpam-5822	743	5	demonstrated	demonstrate	VERB
ejpam-5822	743	6	the	the	DET
ejpam-5822	743	7	practical	practical	ADJ
ejpam-5822	743	8	advantages	advantage	NOUN
ejpam-5822	743	9	of	of	ADP
ejpam-5822	743	10	these	these	DET
ejpam-5822	743	11	methods	method	NOUN
ejpam-5822	743	12	by	by	ADP
ejpam-5822	743	13	applying	apply	VERB
ejpam-5822	743	14	them	they	PRON
ejpam-5822	743	15	to	to	ADP
ejpam-5822	743	16	complex	complex	ADJ
ejpam-5822	743	17	,	,	PUNCT
ejpam-5822	743	18	real	real	ADJ
ejpam-5822	743	19	-	-	PUNCT
ejpam-5822	743	20	world	world	NOUN
ejpam-5822	743	21	scenarios	scenario	NOUN
ejpam-5822	743	22	,	,	PUNCT
ejpam-5822	743	23	including	include	VERB
ejpam-5822	743	24	kepler	kepler	NOUN
ejpam-5822	743	25	’s	’s	PART
ejpam-5822	743	26	celestial	celestial	ADJ
ejpam-5822	743	27	motion	motion	NOUN
ejpam-5822	743	28	,	,	PUNCT
ejpam-5822	743	29	ideally	ideally	ADV
ejpam-5822	743	30	mixed	mixed	ADJ
ejpam-5822	743	31	reactors	reactor	NOUN
ejpam-5822	743	32	,	,	PUNCT
ejpam-5822	743	33	and	and	CCONJ
ejpam-5822	743	34	models	model	NOUN
ejpam-5822	743	35	of	of	ADP
ejpam-5822	743	36	predator	predator	NOUN
ejpam-5822	743	37	-	-	PUNCT
ejpam-5822	743	38	prey	prey	NOUN
ejpam-5822	743	39	dynamics	dynamic	NOUN
ejpam-5822	743	40	,	,	PUNCT
ejpam-5822	743	41	neural	neural	ADJ
ejpam-5822	743	42	activation	activation	NOUN
ejpam-5822	743	43	,	,	PUNCT
ejpam-5822	743	44	and	and	CCONJ
ejpam-5822	743	45	periodic	periodic	ADJ
ejpam-5822	743	46	ecosystem	ecosystem	NOUN
ejpam-5822	743	47	growth	growth	NOUN
ejpam-5822	743	48	.	.	PUNCT
ejpam-5822	744	1	compared	compare	VERB
ejpam-5822	744	2	to	to	ADP
ejpam-5822	744	3	existing	exist	VERB
ejpam-5822	744	4	iterative	iterative	NOUN
ejpam-5822	744	5	techniques	technique	NOUN
ejpam-5822	744	6	such	such	ADJ
ejpam-5822	744	7	as	as	ADP
ejpam-5822	744	8	cm-1	cm-1	NOUN
ejpam-5822	744	9	,	,	PUNCT
ejpam-5822	744	10	cm-2	cm-2	NOUN
ejpam-5822	744	11	,	,	PUNCT
ejpam-5822	744	12	cm-3	cm-3	AUX
ejpam-5822	744	13	,	,	PUNCT
ejpam-5822	744	14	cm-4,and	cm-4,and	NOUN
ejpam-5822	744	15	cm-5	cm-5	PROPN
ejpam-5822	744	16	,	,	PUNCT
ejpam-5822	744	17	our	our	PRON
ejpam-5822	744	18	methods	method	NOUN
ejpam-5822	744	19	exhibit	exhibit	VERB
ejpam-5822	744	20	superior	superior	ADJ
ejpam-5822	744	21	convergence	convergence	NOUN
ejpam-5822	744	22	speed	speed	NOUN
ejpam-5822	744	23	and	and	CCONJ
ejpam-5822	744	24	efficiency	efficiency	NOUN
ejpam-5822	744	25	.	.	PUNCT
ejpam-5822	745	1	a	a	DET
ejpam-5822	745	2	detailed	detailed	ADJ
ejpam-5822	745	3	basin	basin	NOUN
ejpam-5822	745	4	of	of	ADP
ejpam-5822	745	5	attraction	attraction	NOUN
ejpam-5822	745	6	analysis	analysis	NOUN
ejpam-5822	745	7	further	far	ADV
ejpam-5822	745	8	illustrates	illustrate	VERB
ejpam-5822	745	9	the	the	DET
ejpam-5822	745	10	robustness	robustness	NOUN
ejpam-5822	745	11	and	and	CCONJ
ejpam-5822	745	12	adaptability	adaptability	NOUN
ejpam-5822	745	13	of	of	ADP
ejpam-5822	745	14	sfhm-1	sfhm-1	NUM
ejpam-5822	745	15	and	and	CCONJ
ejpam-5822	745	16	sfhm-2	sfhm-2	PROPN
ejpam-5822	745	17	across	across	ADP
ejpam-5822	745	18	a	a	DET
ejpam-5822	745	19	diverse	diverse	ADJ
ejpam-5822	745	20	range	range	NOUN
ejpam-5822	745	21	of	of	ADP
ejpam-5822	745	22	scenarios	scenario	NOUN
ejpam-5822	745	23	.	.	PUNCT
ejpam-5822	746	1	the	the	DET
ejpam-5822	746	2	consistency	consistency	NOUN
ejpam-5822	746	3	between	between	ADP
ejpam-5822	746	4	our	our	PRON
ejpam-5822	746	5	theoretical	theoretical	ADJ
ejpam-5822	746	6	predictions	prediction	NOUN
ejpam-5822	746	7	and	and	CCONJ
ejpam-5822	746	8	numerical	numerical	ADJ
ejpam-5822	746	9	results	result	NOUN
ejpam-5822	746	10	underscores	underscore	VERB
ejpam-5822	746	11	the	the	DET
ejpam-5822	746	12	practical	practical	ADJ
ejpam-5822	746	13	relevance	relevance	NOUN
ejpam-5822	746	14	and	and	CCONJ
ejpam-5822	746	15	reliability	reliability	NOUN
ejpam-5822	746	16	of	of	ADP
ejpam-5822	746	17	the	the	DET
ejpam-5822	746	18	proposed	propose	VERB
ejpam-5822	746	19	methods	method	NOUN
ejpam-5822	746	20	.	.	PUNCT
ejpam-5822	747	1	our	our	PRON
ejpam-5822	747	2	findings	finding	NOUN
ejpam-5822	747	3	suggest	suggest	VERB
ejpam-5822	747	4	that	that	SCONJ
ejpam-5822	747	5	the	the	DET
ejpam-5822	747	6	sfhm-1	sfhm-1	PROPN
ejpam-5822	747	7	and	and	CCONJ
ejpam-5822	747	8	sfhm-2	sfhm-2	PROPN
ejpam-5822	747	9	schemes	scheme	NOUN
ejpam-5822	747	10	provide	provide	VERB
ejpam-5822	747	11	a	a	DET
ejpam-5822	747	12	competitive	competitive	ADJ
ejpam-5822	747	13	alternative	alternative	NOUN
ejpam-5822	747	14	for	for	ADP
ejpam-5822	747	15	solving	solve	VERB
ejpam-5822	747	16	nonlinear	nonlinear	ADJ
ejpam-5822	747	17	equations	equation	NOUN
ejpam-5822	747	18	,	,	PUNCT
ejpam-5822	747	19	with	with	ADP
ejpam-5822	747	20	potential	potential	ADJ
ejpam-5822	747	21	applications	application	NOUN
ejpam-5822	747	22	across	across	ADP
ejpam-5822	747	23	various	various	ADJ
ejpam-5822	747	24	complex	complex	ADJ
ejpam-5822	747	25	problem	problem	NOUN
ejpam-5822	747	26	domains	domain	NOUN
ejpam-5822	747	27	,	,	PUNCT
ejpam-5822	747	28	encouraging	encourage	VERB
ejpam-5822	747	29	further	further	ADJ
ejpam-5822	747	30	research	research	NOUN
ejpam-5822	747	31	and	and	CCONJ
ejpam-5822	747	32	practical	practical	ADJ
ejpam-5822	747	33	exploration	exploration	NOUN
ejpam-5822	747	34	.	.	PUNCT
ejpam-5822	748	1	s.	s.	PROPN
ejpam-5822	748	2	akram	akram	PROPN
ejpam-5822	748	3	et	et	PROPN
ejpam-5822	748	4	al	al	PROPN
ejpam-5822	748	5	.	.	PUNCT
ejpam-5822	748	6	/	/	SYM
ejpam-5822	748	7	eur	eur	PROPN
ejpam-5822	748	8	.	.	PUNCT
ejpam-5822	749	1	j.	j.	PROPN
ejpam-5822	749	2	pure	pure	PROPN
ejpam-5822	749	3	appl	appl	PROPN
ejpam-5822	749	4	.	.	PROPN
ejpam-5822	749	5	math	math	PROPN
ejpam-5822	749	6	,	,	PUNCT
ejpam-5822	749	7	18	18	NUM
ejpam-5822	749	8	(	(	PUNCT
ejpam-5822	749	9	2	2	NUM
ejpam-5822	749	10	)	)	PUNCT
ejpam-5822	749	11	(	(	PUNCT
ejpam-5822	749	12	2025	2025	NUM
ejpam-5822	749	13	)	)	PUNCT
ejpam-5822	749	14	,	,	PUNCT
ejpam-5822	749	15	5822	5822	NUM
ejpam-5822	749	16	24	24	NUM
ejpam-5822	749	17	of	of	ADP
ejpam-5822	749	18	26	26	NUM
ejpam-5822	749	19	future	future	ADJ
ejpam-5822	749	20	directions	direction	NOUN
ejpam-5822	749	21	in	in	ADP
ejpam-5822	749	22	this	this	DET
ejpam-5822	749	23	field	field	NOUN
ejpam-5822	749	24	involve	involve	VERB
ejpam-5822	749	25	extending	extend	VERB
ejpam-5822	749	26	higher	high	ADJ
ejpam-5822	749	27	-	-	PUNCT
ejpam-5822	749	28	order	order	NOUN
ejpam-5822	749	29	iterative	iterative	NOUN
ejpam-5822	749	30	methods	method	NOUN
ejpam-5822	749	31	to	to	PART
ejpam-5822	749	32	complex	complex	VERB
ejpam-5822	749	33	,	,	PUNCT
ejpam-5822	749	34	multi	multi	ADJ
ejpam-5822	749	35	-	-	ADJ
ejpam-5822	749	36	dimensional	dimensional	ADJ
ejpam-5822	749	37	problems	problem	NOUN
ejpam-5822	749	38	and	and	CCONJ
ejpam-5822	749	39	systems	system	NOUN
ejpam-5822	749	40	of	of	ADP
ejpam-5822	749	41	equations	equation	NOUN
ejpam-5822	749	42	.	.	PUNCT
ejpam-5822	750	1	exploring	explore	VERB
ejpam-5822	750	2	hybrid	hybrid	ADJ
ejpam-5822	750	3	approaches	approach	NOUN
ejpam-5822	750	4	that	that	PRON
ejpam-5822	750	5	integrate	integrate	VERB
ejpam-5822	750	6	machine	machine	NOUN
ejpam-5822	750	7	learning	learning	NOUN
ejpam-5822	750	8	for	for	ADP
ejpam-5822	750	9	parameter	parameter	NOUN
ejpam-5822	750	10	estimation	estimation	NOUN
ejpam-5822	750	11	holds	hold	VERB
ejpam-5822	750	12	significant	significant	ADJ
ejpam-5822	750	13	potential	potential	NOUN
ejpam-5822	750	14	for	for	ADP
ejpam-5822	750	15	boosting	boost	VERB
ejpam-5822	750	16	convergence	convergence	NOUN
ejpam-5822	750	17	rates	rate	NOUN
ejpam-5822	750	18	and	and	CCONJ
ejpam-5822	750	19	enhancing	enhance	VERB
ejpam-5822	750	20	robustness	robustness	NOUN
ejpam-5822	750	21	.	.	PUNCT
ejpam-5822	751	1	additionally	additionally	ADV
ejpam-5822	751	2	,	,	PUNCT
ejpam-5822	751	3	further	further	ADJ
ejpam-5822	751	4	theoretical	theoretical	ADJ
ejpam-5822	751	5	investigations	investigation	NOUN
ejpam-5822	751	6	into	into	ADP
ejpam-5822	751	7	stability	stability	NOUN
ejpam-5822	751	8	,	,	PUNCT
ejpam-5822	751	9	error	error	NOUN
ejpam-5822	751	10	dynamics	dynamic	NOUN
ejpam-5822	751	11	,	,	PUNCT
ejpam-5822	751	12	and	and	CCONJ
ejpam-5822	751	13	adaptation	adaptation	NOUN
ejpam-5822	751	14	to	to	PART
ejpam-5822	751	15	diverse	diverse	VERB
ejpam-5822	751	16	nonlinear	nonlinear	ADJ
ejpam-5822	751	17	problems	problem	NOUN
ejpam-5822	751	18	will	will	AUX
ejpam-5822	751	19	contribute	contribute	VERB
ejpam-5822	751	20	to	to	ADP
ejpam-5822	751	21	the	the	DET
ejpam-5822	751	22	broader	broad	ADJ
ejpam-5822	751	23	applicability	applicability	NOUN
ejpam-5822	751	24	of	of	ADP
ejpam-5822	751	25	these	these	DET
ejpam-5822	751	26	methods	method	NOUN
ejpam-5822	751	27	.	.	PUNCT
ejpam-5822	752	1	this	this	DET
ejpam-5822	752	2	progress	progress	NOUN
ejpam-5822	752	3	could	could	AUX
ejpam-5822	752	4	lead	lead	VERB
ejpam-5822	752	5	to	to	ADP
ejpam-5822	752	6	more	more	ADV
ejpam-5822	752	7	efficient	efficient	ADJ
ejpam-5822	752	8	and	and	CCONJ
ejpam-5822	752	9	reliable	reliable	ADJ
ejpam-5822	752	10	numerical	numerical	ADJ
ejpam-5822	752	11	solvers	solver	NOUN
ejpam-5822	752	12	capable	capable	ADJ
ejpam-5822	752	13	of	of	ADP
ejpam-5822	752	14	addressing	address	VERB
ejpam-5822	752	15	the	the	DET
ejpam-5822	752	16	growing	grow	VERB
ejpam-5822	752	17	complexity	complexity	NOUN
ejpam-5822	752	18	of	of	ADP
ejpam-5822	752	19	real	real	ADJ
ejpam-5822	752	20	-	-	PUNCT
ejpam-5822	752	21	world	world	NOUN
ejpam-5822	752	22	applications	application	NOUN
ejpam-5822	752	23	across	across	ADP
ejpam-5822	752	24	various	various	ADJ
ejpam-5822	752	25	scientific	scientific	ADJ
ejpam-5822	752	26	and	and	CCONJ
ejpam-5822	752	27	engineering	engineering	NOUN
ejpam-5822	752	28	disciplines	discipline	NOUN
ejpam-5822	752	29	.	.	PUNCT
ejpam-5822	753	1	acknowledgements	acknowledgement	NOUN
ejpam-5822	753	2	fouzia	fouzia	VERB
ejpam-5822	753	3	amir	amir	PROPN
ejpam-5822	753	4	expresses	express	VERB
ejpam-5822	753	5	sincere	sincere	ADJ
ejpam-5822	753	6	gratitude	gratitude	NOUN
ejpam-5822	753	7	to	to	ADP
ejpam-5822	753	8	asia	asia	PROPN
ejpam-5822	753	9	international	international	PROPN
ejpam-5822	753	10	university	university	PROPN
ejpam-5822	753	11	,	,	PUNCT
ejpam-5822	753	12	bukhara	bukhara	PROPN
ejpam-5822	753	13	,	,	PUNCT
ejpam-5822	753	14	uzbekistan	uzbekistan	PROPN
ejpam-5822	753	15	for	for	ADP
ejpam-5822	753	16	its	its	PRON
ejpam-5822	753	17	financial	financial	ADJ
ejpam-5822	753	18	support	support	NOUN
ejpam-5822	753	19	.	.	PUNCT
ejpam-5822	754	1	muhammad	muhammad	PROPN
ejpam-5822	754	2	bilal	bilal	PROPN
ejpam-5822	754	3	riaz	riaz	PROPN
ejpam-5822	754	4	acknowledges	acknowledge	VERB
ejpam-5822	754	5	the	the	DET
ejpam-5822	754	6	financial	financial	ADJ
ejpam-5822	754	7	support	support	NOUN
ejpam-5822	754	8	of	of	ADP
ejpam-5822	754	9	the	the	DET
ejpam-5822	754	10	european	european	PROPN
ejpam-5822	754	11	union	union	PROPN
ejpam-5822	754	12	under	under	ADP
ejpam-5822	754	13	the	the	DET
ejpam-5822	754	14	refresh	refresh	NOUN
ejpam-5822	754	15	–	–	PUNCT
ejpam-5822	754	16	research	research	NOUN
ejpam-5822	754	17	excellence	excellence	NOUN
ejpam-5822	754	18	for	for	ADP
ejpam-5822	754	19	region	region	NOUN
ejpam-5822	754	20	sustainability	sustainability	NOUN
ejpam-5822	754	21	and	and	CCONJ
ejpam-5822	754	22	high	high	ADJ
ejpam-5822	754	23	-	-	PUNCT
ejpam-5822	754	24	tech	tech	NOUN
ejpam-5822	754	25	industries	industry	NOUN
ejpam-5822	754	26	project	project	NOUN
ejpam-5822	754	27	number	number	NOUN
ejpam-5822	754	28	cz.10.03.01/00/22	cz.10.03.01/00/22	PROPN
ejpam-5822	754	29	003/0000048	003/0000048	NUM
ejpam-5822	754	30	via	via	ADP
ejpam-5822	754	31	the	the	DET
ejpam-5822	754	32	operational	operational	ADJ
ejpam-5822	754	33	programme	programme	NOUN
ejpam-5822	754	34	just	just	ADV
ejpam-5822	754	35	transition	transition	NOUN
ejpam-5822	754	36	.	.	PUNCT
ejpam-5822	755	1	references	reference	NOUN
ejpam-5822	755	2	[	[	X
ejpam-5822	755	3	1	1	NUM
ejpam-5822	755	4	]	]	PUNCT
ejpam-5822	755	5	a.	a.	NOUN
ejpam-5822	755	6	m.	m.	PROPN
ejpam-5822	755	7	ostowski	ostowski	PROPN
ejpam-5822	755	8	.	.	PUNCT
ejpam-5822	756	1	solution	solution	NOUN
ejpam-5822	756	2	of	of	ADP
ejpam-5822	756	3	equations	equation	NOUN
ejpam-5822	756	4	and	and	CCONJ
ejpam-5822	756	5	system	system	NOUN
ejpam-5822	756	6	of	of	ADP
ejpam-5822	756	7	equations	equation	NOUN
ejpam-5822	756	8	.	.	PUNCT
ejpam-5822	757	1	academic	academic	ADJ
ejpam-5822	757	2	press	press	NOUN
ejpam-5822	757	3	,	,	PUNCT
ejpam-5822	757	4	1960	1960	NUM
ejpam-5822	757	5	.	.	PUNCT
ejpam-5822	758	1	[	[	X
ejpam-5822	758	2	2	2	X
ejpam-5822	758	3	]	]	PUNCT
ejpam-5822	758	4	h.	h.	PROPN
ejpam-5822	758	5	t.	t.	PROPN
ejpam-5822	758	6	kung	kung	PROPN
ejpam-5822	758	7	and	and	CCONJ
ejpam-5822	758	8	j.	j.	PROPN
ejpam-5822	758	9	f.	f.	PROPN
ejpam-5822	758	10	traub	traub	PROPN
ejpam-5822	758	11	.	.	PUNCT
ejpam-5822	759	1	optimal	optimal	ADJ
ejpam-5822	759	2	order	order	NOUN
ejpam-5822	759	3	of	of	ADP
ejpam-5822	759	4	one	one	NUM
ejpam-5822	759	5	-	-	PUNCT
ejpam-5822	759	6	point	point	NOUN
ejpam-5822	759	7	and	and	CCONJ
ejpam-5822	759	8	multipoint	multipoint	NOUN
ejpam-5822	759	9	iteration	iteration	NOUN
ejpam-5822	759	10	.	.	PUNCT
ejpam-5822	760	1	journal	journal	NOUN
ejpam-5822	760	2	of	of	ADP
ejpam-5822	760	3	the	the	DET
ejpam-5822	760	4	association	association	NOUN
ejpam-5822	760	5	for	for	ADP
ejpam-5822	760	6	computing	computing	NOUN
ejpam-5822	760	7	machinery	machinery	NOUN
ejpam-5822	760	8	,	,	PUNCT
ejpam-5822	760	9	21(4):643–651	21(4):643–651	PROPN
ejpam-5822	760	10	,	,	PUNCT
ejpam-5822	760	11	1974	1974	NUM
ejpam-5822	760	12	.	.	PUNCT
ejpam-5822	761	1	[	[	X
ejpam-5822	761	2	3	3	X
ejpam-5822	761	3	]	]	PUNCT
ejpam-5822	761	4	m.	m.	NOUN
ejpam-5822	761	5	s.	s.	PROPN
ejpam-5822	761	6	petković	petković	PROPN
ejpam-5822	761	7	,	,	PUNCT
ejpam-5822	761	8	b.	b.	PROPN
ejpam-5822	761	9	neta	neta	PROPN
ejpam-5822	761	10	,	,	PUNCT
ejpam-5822	761	11	l.	l.	PROPN
ejpam-5822	761	12	d.	d.	PROPN
ejpam-5822	761	13	petković	petković	PROPN
ejpam-5822	761	14	,	,	PUNCT
ejpam-5822	761	15	and	and	CCONJ
ejpam-5822	761	16	j.	j.	PROPN
ejpam-5822	761	17	d.	d.	PROPN
ejpam-5822	761	18	džunić.	džunić.	PROPN
ejpam-5822	761	19	multipoint	multipoint	NOUN
ejpam-5822	761	20	methods	method	NOUN
ejpam-5822	761	21	for	for	ADP
ejpam-5822	761	22	solving	solve	VERB
ejpam-5822	761	23	nonlinear	nonlinear	ADJ
ejpam-5822	761	24	equations	equation	NOUN
ejpam-5822	761	25	.	.	PUNCT
ejpam-5822	762	1	elsevier	elsevier	NOUN
ejpam-5822	762	2	,	,	PUNCT
ejpam-5822	762	3	2013	2013	NUM
ejpam-5822	762	4	.	.	PUNCT
ejpam-5822	763	1	[	[	X
ejpam-5822	763	2	4	4	X
ejpam-5822	763	3	]	]	PUNCT
ejpam-5822	763	4	j.	j.	PROPN
ejpam-5822	763	5	f.	f.	PROPN
ejpam-5822	763	6	traub	traub	PROPN
ejpam-5822	763	7	.	.	PUNCT
ejpam-5822	763	8	iterative	iterative	NOUN
ejpam-5822	763	9	methods	method	NOUN
ejpam-5822	763	10	for	for	ADP
ejpam-5822	763	11	the	the	DET
ejpam-5822	763	12	solution	solution	NOUN
ejpam-5822	763	13	of	of	ADP
ejpam-5822	763	14	equations	equation	NOUN
ejpam-5822	763	15	.	.	PUNCT
ejpam-5822	764	1	prentice	prentice	NOUN
ejpam-5822	764	2	-	-	PUNCT
ejpam-5822	764	3	hall	hall	NOUN
ejpam-5822	764	4	,	,	PUNCT
ejpam-5822	764	5	1964	1964	NUM
ejpam-5822	764	6	.	.	PUNCT
ejpam-5822	765	1	[	[	X
ejpam-5822	765	2	5	5	X
ejpam-5822	765	3	]	]	PUNCT
ejpam-5822	765	4	w.	w.	PROPN
ejpam-5822	765	5	bi	bi	PROPN
ejpam-5822	765	6	,	,	PUNCT
ejpam-5822	765	7	h.	h.	PROPN
ejpam-5822	765	8	ren	ren	PROPN
ejpam-5822	765	9	,	,	PUNCT
ejpam-5822	765	10	and	and	CCONJ
ejpam-5822	765	11	q.	q.	PROPN
ejpam-5822	765	12	wu	wu	PROPN
ejpam-5822	765	13	.	.	PUNCT
ejpam-5822	766	1	three	three	NUM
ejpam-5822	766	2	-	-	PUNCT
ejpam-5822	766	3	step	step	NOUN
ejpam-5822	766	4	iterative	iterative	NOUN
ejpam-5822	766	5	methods	method	NOUN
ejpam-5822	766	6	with	with	ADP
ejpam-5822	766	7	eight	eight	NUM
ejpam-5822	766	8	-	-	PUNCT
ejpam-5822	766	9	order	order	NOUN
ejpam-5822	766	10	convergence	convergence	NOUN
ejpam-5822	766	11	for	for	ADP
ejpam-5822	766	12	solving	solve	VERB
ejpam-5822	766	13	nonlinear	nonlinear	ADJ
ejpam-5822	766	14	equations	equation	NOUN
ejpam-5822	766	15	.	.	PUNCT
ejpam-5822	767	1	journal	journal	NOUN
ejpam-5822	767	2	of	of	ADP
ejpam-5822	767	3	computational	computational	ADJ
ejpam-5822	767	4	and	and	CCONJ
ejpam-5822	767	5	applied	applied	ADJ
ejpam-5822	767	6	mathematics	mathematic	NOUN
ejpam-5822	767	7	,	,	PUNCT
ejpam-5822	767	8	225(1):105–112	225(1):105–112	NUM
ejpam-5822	767	9	,	,	PUNCT
ejpam-5822	767	10	2009	2009	NUM
ejpam-5822	767	11	.	.	PUNCT
ejpam-5822	768	1	[	[	X
ejpam-5822	768	2	6	6	NUM
ejpam-5822	768	3	]	]	PUNCT
ejpam-5822	768	4	d.	d.	PROPN
ejpam-5822	768	5	k.	k.	PROPN
ejpam-5822	768	6	r.	r.	PROPN
ejpam-5822	768	7	babajee	babajee	PROPN
ejpam-5822	768	8	,	,	PUNCT
ejpam-5822	768	9	k.	k.	PROPN
ejpam-5822	768	10	madhu	madhu	PROPN
ejpam-5822	768	11	,	,	PUNCT
ejpam-5822	768	12	and	and	CCONJ
ejpam-5822	768	13	j.	j.	PROPN
ejpam-5822	768	14	jayaraman	jayaraman	PROPN
ejpam-5822	768	15	.	.	PUNCT
ejpam-5822	769	1	a	a	DET
ejpam-5822	769	2	family	family	NOUN
ejpam-5822	769	3	of	of	ADP
ejpam-5822	769	4	higher	high	ADJ
ejpam-5822	769	5	-	-	PUNCT
ejpam-5822	769	6	order	order	NOUN
ejpam-5822	769	7	multi	multi	ADJ
ejpam-5822	769	8	-	-	ADJ
ejpam-5822	769	9	point	point	ADJ
ejpam-5822	769	10	iterative	iterative	NOUN
ejpam-5822	769	11	methods	method	NOUN
ejpam-5822	769	12	based	base	VERB
ejpam-5822	769	13	on	on	ADP
ejpam-5822	769	14	power	power	NOUN
ejpam-5822	769	15	mean	mean	NOUN
ejpam-5822	769	16	for	for	ADP
ejpam-5822	769	17	solving	solve	VERB
ejpam-5822	769	18	nonlinear	nonlinear	ADJ
ejpam-5822	769	19	equations	equation	NOUN
ejpam-5822	769	20	.	.	PUNCT
ejpam-5822	770	1	afrika	afrika	PROPN
ejpam-5822	770	2	matematika	matematika	PROPN
ejpam-5822	770	3	,	,	PUNCT
ejpam-5822	770	4	27(5	27(5	PROPN
ejpam-5822	770	5	–	–	PUNCT
ejpam-5822	770	6	6):865–876	6):865–876	NOUN
ejpam-5822	770	7	,	,	PUNCT
ejpam-5822	770	8	2016	2016	NUM
ejpam-5822	770	9	.	.	PUNCT
ejpam-5822	771	1	[	[	X
ejpam-5822	771	2	7	7	X
ejpam-5822	771	3	]	]	X
ejpam-5822	771	4	y.	y.	PROPN
ejpam-5822	771	5	chu	chu	PROPN
ejpam-5822	771	6	,	,	PUNCT
ejpam-5822	771	7	n.	n.	PROPN
ejpam-5822	771	8	rafiq	rafiq	PROPN
ejpam-5822	771	9	,	,	PUNCT
ejpam-5822	771	10	m.	m.	NOUN
ejpam-5822	771	11	shams	sham	NOUN
ejpam-5822	771	12	,	,	PUNCT
ejpam-5822	771	13	s.	s.	PROPN
ejpam-5822	771	14	akram	akram	PROPN
ejpam-5822	771	15	,	,	PUNCT
ejpam-5822	771	16	n.	n.	PROPN
ejpam-5822	771	17	a.	a.	PROPN
ejpam-5822	771	18	mir	mir	PROPN
ejpam-5822	771	19	,	,	PUNCT
ejpam-5822	771	20	and	and	CCONJ
ejpam-5822	771	21	h.	h.	PROPN
ejpam-5822	771	22	kalsoom	kalsoom	PROPN
ejpam-5822	771	23	.	.	PUNCT
ejpam-5822	772	1	computer	computer	NOUN
ejpam-5822	772	2	methodologies	methodology	NOUN
ejpam-5822	772	3	for	for	ADP
ejpam-5822	772	4	the	the	DET
ejpam-5822	772	5	comparison	comparison	NOUN
ejpam-5822	772	6	of	of	ADP
ejpam-5822	772	7	some	some	DET
ejpam-5822	772	8	efficient	efficient	ADJ
ejpam-5822	772	9	derivative	derivative	ADJ
ejpam-5822	772	10	-	-	PUNCT
ejpam-5822	772	11	free	free	ADJ
ejpam-5822	772	12	simultaneous	simultaneous	ADJ
ejpam-5822	772	13	iterative	iterative	NOUN
ejpam-5822	772	14	methods	method	NOUN
ejpam-5822	772	15	for	for	ADP
ejpam-5822	772	16	finding	find	VERB
ejpam-5822	772	17	roots	root	NOUN
ejpam-5822	772	18	of	of	ADP
ejpam-5822	772	19	nonlinear	nonlinear	ADJ
ejpam-5822	772	20	equations	equation	NOUN
ejpam-5822	772	21	.	.	PUNCT
ejpam-5822	773	1	computers	computer	NOUN
ejpam-5822	773	2	,	,	PUNCT
ejpam-5822	773	3	materials	material	NOUN
ejpam-5822	773	4	and	and	CCONJ
ejpam-5822	773	5	continua	continuum	NOUN
ejpam-5822	773	6	,	,	PUNCT
ejpam-5822	773	7	66(1):275–290	66(1):275–290	PROPN
ejpam-5822	773	8	,	,	PUNCT
ejpam-5822	773	9	2020	2020	NUM
ejpam-5822	773	10	.	.	PUNCT
ejpam-5822	774	1	[	[	X
ejpam-5822	774	2	8	8	NUM
ejpam-5822	774	3	]	]	X
ejpam-5822	774	4	g.	g.	PROPN
ejpam-5822	774	5	thangkhenpau	thangkhenpau	PROPN
ejpam-5822	774	6	,	,	PUNCT
ejpam-5822	774	7	s.	s.	PROPN
ejpam-5822	774	8	panday	panday	PROPN
ejpam-5822	774	9	,	,	PUNCT
ejpam-5822	774	10	l.	l.	PROPN
ejpam-5822	774	11	c.	c.	PROPN
ejpam-5822	774	12	bolunduţ	bolunduţ	PROPN
ejpam-5822	774	13	,	,	PUNCT
ejpam-5822	774	14	and	and	CCONJ
ejpam-5822	774	15	l.	l.	PROPN
ejpam-5822	774	16	jäntschi	jäntschi	PROPN
ejpam-5822	774	17	.	.	PUNCT
ejpam-5822	775	1	efficient	efficient	ADJ
ejpam-5822	775	2	families	family	NOUN
ejpam-5822	775	3	of	of	ADP
ejpam-5822	775	4	multipoint	multipoint	NOUN
ejpam-5822	775	5	iterative	iterative	NOUN
ejpam-5822	775	6	methods	method	NOUN
ejpam-5822	775	7	and	and	CCONJ
ejpam-5822	775	8	their	their	PRON
ejpam-5822	775	9	self	self	NOUN
ejpam-5822	775	10	-	-	PUNCT
ejpam-5822	775	11	acceleration	acceleration	NOUN
ejpam-5822	775	12	with	with	ADP
ejpam-5822	775	13	memory	memory	NOUN
ejpam-5822	775	14	for	for	ADP
ejpam-5822	775	15	solving	solve	VERB
ejpam-5822	775	16	nonlinear	nonlinear	ADJ
ejpam-5822	775	17	equations	equation	NOUN
ejpam-5822	775	18	.	.	PUNCT
ejpam-5822	776	1	symmetry	symmetry	PROPN
ejpam-5822	776	2	,	,	PUNCT
ejpam-5822	776	3	15(8):article	15(8):article	PROPN
ejpam-5822	776	4	1546	1546	NUM
ejpam-5822	776	5	,	,	PUNCT
ejpam-5822	776	6	2023	2023	NUM
ejpam-5822	776	7	.	.	PUNCT
ejpam-5822	777	1	[	[	X
ejpam-5822	777	2	9	9	NUM
ejpam-5822	777	3	]	]	PUNCT
ejpam-5822	777	4	s.	s.	PROPN
ejpam-5822	777	5	panday	panday	PROPN
ejpam-5822	777	6	,	,	PUNCT
ejpam-5822	777	7	a.	a.	NOUN
ejpam-5822	777	8	sharma	sharma	PROPN
ejpam-5822	777	9	,	,	PUNCT
ejpam-5822	777	10	and	and	CCONJ
ejpam-5822	777	11	g.	g.	PROPN
ejpam-5822	777	12	thangkhenpau	thangkhenpau	PROPN
ejpam-5822	777	13	.	.	PUNCT
ejpam-5822	778	1	optimal	optimal	ADJ
ejpam-5822	778	2	fourth	fourth	ADJ
ejpam-5822	778	3	and	and	CCONJ
ejpam-5822	778	4	eighth	eighth	ADJ
ejpam-5822	778	5	-	-	PUNCT
ejpam-5822	778	6	order	order	NOUN
ejpam-5822	778	7	iterative	iterative	NOUN
ejpam-5822	778	8	methods	method	NOUN
ejpam-5822	778	9	for	for	ADP
ejpam-5822	778	10	nonlinear	nonlinear	ADJ
ejpam-5822	778	11	equations	equation	NOUN
ejpam-5822	778	12	.	.	PUNCT
ejpam-5822	779	1	journal	journal	NOUN
ejpam-5822	779	2	of	of	ADP
ejpam-5822	779	3	applied	apply	VERB
ejpam-5822	779	4	mathematics	mathematic	NOUN
ejpam-5822	779	5	and	and	CCONJ
ejpam-5822	779	6	computing	computing	NOUN
ejpam-5822	779	7	,	,	PUNCT
ejpam-5822	779	8	69(1):953–971	69(1):953–971	NOUN
ejpam-5822	779	9	,	,	PUNCT
ejpam-5822	779	10	2023	2023	NUM
ejpam-5822	779	11	.	.	PUNCT
ejpam-5822	780	1	[	[	X
ejpam-5822	780	2	10	10	NUM
ejpam-5822	780	3	]	]	PUNCT
ejpam-5822	780	4	m.	m.	NOUN
ejpam-5822	780	5	q.	q.	PROPN
ejpam-5822	780	6	khirallah	khirallah	PROPN
ejpam-5822	780	7	and	and	CCONJ
ejpam-5822	780	8	a.	a.	NOUN
ejpam-5822	780	9	m.	m.	PROPN
ejpam-5822	780	10	alkhomsan	alkhomsan	PROPN
ejpam-5822	780	11	.	.	PUNCT
ejpam-5822	781	1	a	a	DET
ejpam-5822	781	2	new	new	ADJ
ejpam-5822	781	3	fifth	fifth	ADJ
ejpam-5822	781	4	-	-	PUNCT
ejpam-5822	781	5	order	order	NOUN
ejpam-5822	781	6	iterative	iterative	NOUN
ejpam-5822	781	7	method	method	NOUN
ejpam-5822	781	8	for	for	ADP
ejpam-5822	781	9	solving	solve	VERB
ejpam-5822	781	10	nons	non	NOUN
ejpam-5822	781	11	.	.	PUNCT
ejpam-5822	782	1	akram	akram	PROPN
ejpam-5822	782	2	et	et	PROPN
ejpam-5822	782	3	al	al	PROPN
ejpam-5822	782	4	.	.	PUNCT
ejpam-5822	782	5	/	/	SYM
ejpam-5822	782	6	eur	eur	PROPN
ejpam-5822	782	7	.	.	PUNCT
ejpam-5822	783	1	j.	j.	PROPN
ejpam-5822	783	2	pure	pure	PROPN
ejpam-5822	783	3	appl	appl	PROPN
ejpam-5822	783	4	.	.	PROPN
ejpam-5822	783	5	math	math	PROPN
ejpam-5822	783	6	,	,	PUNCT
ejpam-5822	783	7	18	18	NUM
ejpam-5822	783	8	(	(	PUNCT
ejpam-5822	783	9	2	2	NUM
ejpam-5822	783	10	)	)	PUNCT
ejpam-5822	783	11	(	(	PUNCT
ejpam-5822	783	12	2025	2025	NUM
ejpam-5822	783	13	)	)	PUNCT
ejpam-5822	783	14	,	,	PUNCT
ejpam-5822	783	15	5822	5822	NUM
ejpam-5822	783	16	25	25	NUM
ejpam-5822	783	17	of	of	ADP
ejpam-5822	783	18	26	26	NUM
ejpam-5822	783	19	linear	linear	ADJ
ejpam-5822	783	20	equations	equation	NOUN
ejpam-5822	783	21	using	use	VERB
ejpam-5822	783	22	the	the	DET
ejpam-5822	783	23	weight	weight	NOUN
ejpam-5822	783	24	function	function	NOUN
ejpam-5822	783	25	technique	technique	NOUN
ejpam-5822	783	26	and	and	CCONJ
ejpam-5822	783	27	the	the	DET
ejpam-5822	783	28	basins	basin	NOUN
ejpam-5822	783	29	of	of	ADP
ejpam-5822	783	30	attraction	attraction	NOUN
ejpam-5822	783	31	.	.	PUNCT
ejpam-5822	784	1	journal	journal	NOUN
ejpam-5822	784	2	of	of	ADP
ejpam-5822	784	3	mathematics	mathematics	PROPN
ejpam-5822	784	4	and	and	CCONJ
ejpam-5822	784	5	computer	computer	NOUN
ejpam-5822	784	6	science	science	NOUN
ejpam-5822	784	7	,	,	PUNCT
ejpam-5822	784	8	28(3):281–293	28(3):281–293	NUM
ejpam-5822	784	9	,	,	PUNCT
ejpam-5822	784	10	2023	2023	NUM
ejpam-5822	784	11	.	.	PUNCT
ejpam-5822	785	1	[	[	X
ejpam-5822	785	2	11	11	NUM
ejpam-5822	785	3	]	]	PUNCT
ejpam-5822	785	4	s.	s.	PROPN
ejpam-5822	785	5	abdullah	abdullah	PROPN
ejpam-5822	785	6	,	,	PUNCT
ejpam-5822	785	7	n.	n.	NOUN
ejpam-5822	785	8	choubey	choubey	NOUN
ejpam-5822	785	9	,	,	PUNCT
ejpam-5822	785	10	and	and	CCONJ
ejpam-5822	785	11	s.	s.	PROPN
ejpam-5822	785	12	dara	dara	PROPN
ejpam-5822	785	13	.	.	PUNCT
ejpam-5822	786	1	an	an	DET
ejpam-5822	786	2	efficient	efficient	ADJ
ejpam-5822	786	3	two	two	NUM
ejpam-5822	786	4	-	-	PUNCT
ejpam-5822	786	5	point	point	NOUN
ejpam-5822	786	6	iterative	iterative	NOUN
ejpam-5822	786	7	method	method	NOUN
ejpam-5822	786	8	with	with	ADP
ejpam-5822	786	9	memory	memory	NOUN
ejpam-5822	786	10	for	for	ADP
ejpam-5822	786	11	solving	solve	VERB
ejpam-5822	786	12	nonlinear	nonlinear	ADJ
ejpam-5822	786	13	equations	equation	NOUN
ejpam-5822	786	14	and	and	CCONJ
ejpam-5822	786	15	its	its	PRON
ejpam-5822	786	16	dynamics	dynamic	NOUN
ejpam-5822	786	17	.	.	PUNCT
ejpam-5822	787	1	journal	journal	NOUN
ejpam-5822	787	2	of	of	ADP
ejpam-5822	787	3	applied	apply	VERB
ejpam-5822	787	4	mathematics	mathematic	NOUN
ejpam-5822	787	5	and	and	CCONJ
ejpam-5822	787	6	computing	computing	NOUN
ejpam-5822	787	7	,	,	PUNCT
ejpam-5822	787	8	70(1):285–315	70(1):285–315	PROPN
ejpam-5822	787	9	,	,	PUNCT
ejpam-5822	787	10	2024	2024	NUM
ejpam-5822	787	11	.	.	PUNCT
ejpam-5822	788	1	[	[	X
ejpam-5822	788	2	12	12	NUM
ejpam-5822	788	3	]	]	PUNCT
ejpam-5822	788	4	m.	m.	NOUN
ejpam-5822	788	5	u.	u.	PROPN
ejpam-5822	788	6	d.	d.	PROPN
ejpam-5822	788	7	junjua	junjua	PROPN
ejpam-5822	788	8	,	,	PUNCT
ejpam-5822	788	9	f.	f.	PROPN
ejpam-5822	788	10	zafar	zafar	PROPN
ejpam-5822	788	11	,	,	PUNCT
ejpam-5822	788	12	and	and	CCONJ
ejpam-5822	788	13	n.	n.	PROPN
ejpam-5822	788	14	yasmin	yasmin	PROPN
ejpam-5822	788	15	.	.	PUNCT
ejpam-5822	789	1	optimal	optimal	ADJ
ejpam-5822	789	2	derivative	derivative	ADJ
ejpam-5822	789	3	-	-	PUNCT
ejpam-5822	789	4	free	free	ADJ
ejpam-5822	789	5	root	root	NOUN
ejpam-5822	789	6	finding	finding	NOUN
ejpam-5822	789	7	methods	method	NOUN
ejpam-5822	789	8	based	base	VERB
ejpam-5822	789	9	on	on	ADP
ejpam-5822	789	10	inverse	inverse	NOUN
ejpam-5822	789	11	interpolation	interpolation	NOUN
ejpam-5822	789	12	.	.	PUNCT
ejpam-5822	790	1	mathematics	mathematic	NOUN
ejpam-5822	790	2	,	,	PUNCT
ejpam-5822	790	3	7(2):164	7(2):164	NOUN
ejpam-5822	790	4	,	,	PUNCT
ejpam-5822	790	5	2019	2019	NUM
ejpam-5822	790	6	.	.	PUNCT
ejpam-5822	791	1	[	[	X
ejpam-5822	791	2	13	13	NUM
ejpam-5822	791	3	]	]	PUNCT
ejpam-5822	791	4	m.	m.	NOUN
ejpam-5822	791	5	u.	u.	PROPN
ejpam-5822	791	6	d.	d.	PROPN
ejpam-5822	791	7	junjua	junjua	PROPN
ejpam-5822	791	8	,	,	PUNCT
ejpam-5822	791	9	s.	s.	PROPN
ejpam-5822	791	10	abdullah	abdullah	PROPN
ejpam-5822	791	11	,	,	PUNCT
ejpam-5822	791	12	m.	m.	NOUN
ejpam-5822	791	13	kansal	kansal	NOUN
ejpam-5822	791	14	,	,	PUNCT
ejpam-5822	791	15	and	and	CCONJ
ejpam-5822	791	16	s.	s.	PROPN
ejpam-5822	791	17	ahmad	ahmad	PROPN
ejpam-5822	791	18	.	.	PUNCT
ejpam-5822	792	1	on	on	ADP
ejpam-5822	792	2	traub	traub	PROPN
ejpam-5822	792	3	–	–	PUNCT
ejpam-5822	792	4	steffensen	steffensen	NOUN
ejpam-5822	792	5	-	-	PUNCT
ejpam-5822	792	6	type	type	NOUN
ejpam-5822	792	7	iteration	iteration	NOUN
ejpam-5822	792	8	schemes	scheme	NOUN
ejpam-5822	792	9	with	with	ADP
ejpam-5822	792	10	and	and	CCONJ
ejpam-5822	792	11	without	without	ADP
ejpam-5822	792	12	memory	memory	NOUN
ejpam-5822	792	13	:	:	PUNCT
ejpam-5822	792	14	fractal	fractal	ADJ
ejpam-5822	792	15	analysis	analysis	NOUN
ejpam-5822	792	16	using	use	VERB
ejpam-5822	792	17	basins	basin	NOUN
ejpam-5822	792	18	of	of	ADP
ejpam-5822	792	19	attraction	attraction	NOUN
ejpam-5822	792	20	.	.	PUNCT
ejpam-5822	793	1	fractal	fractal	ADJ
ejpam-5822	793	2	and	and	CCONJ
ejpam-5822	793	3	fractional	fractional	ADJ
ejpam-5822	793	4	,	,	PUNCT
ejpam-5822	793	5	8(12):698	8(12):698	NUM
ejpam-5822	793	6	,	,	PUNCT
ejpam-5822	793	7	2024	2024	NUM
ejpam-5822	793	8	.	.	PUNCT
ejpam-5822	794	1	[	[	X
ejpam-5822	794	2	14	14	NUM
ejpam-5822	794	3	]	]	X
ejpam-5822	794	4	s.	s.	PROPN
ejpam-5822	794	5	abdullah	abdullah	PROPN
ejpam-5822	794	6	,	,	PUNCT
ejpam-5822	794	7	n.	n.	PROPN
ejpam-5822	794	8	choubey	choubey	PROPN
ejpam-5822	794	9	,	,	PUNCT
ejpam-5822	794	10	s.	s.	PROPN
ejpam-5822	794	11	dara	dara	PROPN
ejpam-5822	794	12	,	,	PUNCT
ejpam-5822	794	13	m.	m.	PROPN
ejpam-5822	794	14	u.	u.	PROPN
ejpam-5822	794	15	d.	d.	PROPN
ejpam-5822	794	16	junjua	junjua	PROPN
ejpam-5822	794	17	,	,	PUNCT
ejpam-5822	794	18	and	and	CCONJ
ejpam-5822	794	19	t.	t.	PROPN
ejpam-5822	794	20	abdullah	abdullah	PROPN
ejpam-5822	794	21	.	.	PUNCT
ejpam-5822	795	1	a	a	DET
ejpam-5822	795	2	robust	robust	ADJ
ejpam-5822	795	3	and	and	CCONJ
ejpam-5822	795	4	optimal	optimal	ADJ
ejpam-5822	795	5	iterative	iterative	NOUN
ejpam-5822	795	6	algorithm	algorithm	NOUN
ejpam-5822	795	7	employing	employ	VERB
ejpam-5822	795	8	a	a	DET
ejpam-5822	795	9	weight	weight	NOUN
ejpam-5822	795	10	function	function	NOUN
ejpam-5822	795	11	for	for	ADP
ejpam-5822	795	12	solving	solve	VERB
ejpam-5822	795	13	nonlinear	nonlinear	ADJ
ejpam-5822	795	14	equations	equation	NOUN
ejpam-5822	795	15	with	with	ADP
ejpam-5822	795	16	dynamics	dynamic	NOUN
ejpam-5822	795	17	and	and	CCONJ
ejpam-5822	795	18	applications	application	NOUN
ejpam-5822	795	19	.	.	PUNCT
ejpam-5822	796	1	axioms	axiom	NOUN
ejpam-5822	796	2	,	,	PUNCT
ejpam-5822	796	3	13(10):675	13(10):675	NUM
ejpam-5822	796	4	,	,	PUNCT
ejpam-5822	796	5	2024	2024	NUM
ejpam-5822	796	6	.	.	PUNCT
ejpam-5822	797	1	[	[	X
ejpam-5822	797	2	15	15	NUM
ejpam-5822	797	3	]	]	X
ejpam-5822	797	4	s.	s.	PROPN
ejpam-5822	797	5	abdullah	abdullah	PROPN
ejpam-5822	797	6	,	,	PUNCT
ejpam-5822	797	7	n.	n.	NOUN
ejpam-5822	797	8	choubey	choubey	NOUN
ejpam-5822	797	9	,	,	PUNCT
ejpam-5822	797	10	and	and	CCONJ
ejpam-5822	797	11	s.	s.	PROPN
ejpam-5822	797	12	dara	dara	PROPN
ejpam-5822	797	13	.	.	PUNCT
ejpam-5822	798	1	optimal	optimal	ADJ
ejpam-5822	798	2	fourth	fourth	ADJ
ejpam-5822	798	3	-	-	PUNCT
ejpam-5822	798	4	and	and	CCONJ
ejpam-5822	798	5	eighth	eighth	ADJ
ejpam-5822	798	6	-	-	PUNCT
ejpam-5822	798	7	order	order	NOUN
ejpam-5822	798	8	iterative	iterative	NOUN
ejpam-5822	798	9	methods	method	NOUN
ejpam-5822	798	10	for	for	ADP
ejpam-5822	798	11	solving	solve	VERB
ejpam-5822	798	12	nonlinear	nonlinear	ADJ
ejpam-5822	798	13	equations	equation	NOUN
ejpam-5822	798	14	with	with	ADP
ejpam-5822	798	15	basins	basin	NOUN
ejpam-5822	798	16	of	of	ADP
ejpam-5822	798	17	attraction	attraction	NOUN
ejpam-5822	798	18	.	.	PUNCT
ejpam-5822	799	1	journal	journal	NOUN
ejpam-5822	799	2	of	of	ADP
ejpam-5822	799	3	applied	apply	VERB
ejpam-5822	799	4	mathematics	mathematic	NOUN
ejpam-5822	799	5	and	and	CCONJ
ejpam-5822	799	6	computing	computing	NOUN
ejpam-5822	799	7	,	,	PUNCT
ejpam-5822	799	8	pages	page	NOUN
ejpam-5822	799	9	1–31	1–31	PROPN
ejpam-5822	799	10	,	,	PUNCT
ejpam-5822	799	11	2024	2024	NUM
ejpam-5822	799	12	.	.	PUNCT
ejpam-5822	800	1	[	[	X
ejpam-5822	800	2	16	16	NUM
ejpam-5822	800	3	]	]	X
ejpam-5822	800	4	s.	s.	PROPN
ejpam-5822	800	5	akram	akram	PROPN
ejpam-5822	800	6	,	,	PUNCT
ejpam-5822	800	7	m.	m.	PROPN
ejpam-5822	800	8	khalid	khalid	PROPN
ejpam-5822	800	9	,	,	PUNCT
ejpam-5822	800	10	m.	m.	PROPN
ejpam-5822	800	11	u.	u.	PROPN
ejpam-5822	800	12	d.	d.	PROPN
ejpam-5822	800	13	junjua	junjua	PROPN
ejpam-5822	800	14	,	,	PUNCT
ejpam-5822	800	15	s.	s.	PROPN
ejpam-5822	800	16	altaf	altaf	PROPN
ejpam-5822	800	17	,	,	PUNCT
ejpam-5822	800	18	and	and	CCONJ
ejpam-5822	800	19	s.	s.	PROPN
ejpam-5822	800	20	kumar	kumar	PROPN
ejpam-5822	800	21	.	.	PUNCT
ejpam-5822	800	22	extension	extension	NOUN
ejpam-5822	800	23	of	of	ADP
ejpam-5822	800	24	king	king	NOUN
ejpam-5822	800	25	’s	’s	PART
ejpam-5822	800	26	iterative	iterative	NOUN
ejpam-5822	800	27	scheme	scheme	NOUN
ejpam-5822	800	28	by	by	ADP
ejpam-5822	800	29	means	mean	NOUN
ejpam-5822	800	30	of	of	ADP
ejpam-5822	800	31	memory	memory	NOUN
ejpam-5822	800	32	for	for	ADP
ejpam-5822	800	33	nonlinear	nonlinear	ADJ
ejpam-5822	800	34	equations	equation	NOUN
ejpam-5822	800	35	.	.	PUNCT
ejpam-5822	801	1	symmetry	symmetry	PROPN
ejpam-5822	801	2	,	,	PUNCT
ejpam-5822	801	3	15(5):1116	15(5):1116	NUM
ejpam-5822	801	4	,	,	PUNCT
ejpam-5822	801	5	2023	2023	NUM
ejpam-5822	801	6	.	.	PUNCT
ejpam-5822	802	1	[	[	X
ejpam-5822	802	2	17	17	NUM
ejpam-5822	802	3	]	]	PUNCT
ejpam-5822	802	4	s.	s.	PROPN
ejpam-5822	802	5	abdullah	abdullah	PROPN
ejpam-5822	802	6	,	,	PUNCT
ejpam-5822	802	7	n.	n.	NOUN
ejpam-5822	802	8	choubey	choubey	NOUN
ejpam-5822	802	9	,	,	PUNCT
ejpam-5822	802	10	and	and	CCONJ
ejpam-5822	802	11	s.	s.	PROPN
ejpam-5822	802	12	dara	dara	PROPN
ejpam-5822	802	13	.	.	PUNCT
ejpam-5822	803	1	two	two	NUM
ejpam-5822	803	2	novel	novel	NOUN
ejpam-5822	803	3	with	with	ADP
ejpam-5822	803	4	and	and	CCONJ
ejpam-5822	803	5	without	without	ADP
ejpam-5822	803	6	memory	memory	NOUN
ejpam-5822	803	7	multi	multi	ADJ
ejpam-5822	803	8	-	-	ADJ
ejpam-5822	803	9	point	point	ADJ
ejpam-5822	803	10	iterative	iterative	NOUN
ejpam-5822	803	11	methods	method	NOUN
ejpam-5822	803	12	for	for	ADP
ejpam-5822	803	13	solving	solve	VERB
ejpam-5822	803	14	nonlinear	nonlinear	ADJ
ejpam-5822	803	15	equations	equation	NOUN
ejpam-5822	803	16	.	.	PUNCT
ejpam-5822	804	1	communications	communication	NOUN
ejpam-5822	804	2	in	in	ADP
ejpam-5822	804	3	mathematics	mathematic	NOUN
ejpam-5822	804	4	and	and	CCONJ
ejpam-5822	804	5	applications	application	NOUN
ejpam-5822	804	6	,	,	PUNCT
ejpam-5822	804	7	15(1):9	15(1):9	NUM
ejpam-5822	804	8	,	,	PUNCT
ejpam-5822	804	9	2024	2024	NUM
ejpam-5822	804	10	.	.	PUNCT
ejpam-5822	805	1	[	[	X
ejpam-5822	805	2	18	18	NUM
ejpam-5822	805	3	]	]	X
ejpam-5822	805	4	d.	d.	PROPN
ejpam-5822	805	5	k.	k.	PROPN
ejpam-5822	805	6	r.	r.	PROPN
ejpam-5822	805	7	babajee	babajee	PROPN
ejpam-5822	805	8	and	and	CCONJ
ejpam-5822	805	9	r.	r.	PROPN
ejpam-5822	805	10	thukral	thukral	PROPN
ejpam-5822	805	11	.	.	PUNCT
ejpam-5822	806	1	on	on	ADP
ejpam-5822	806	2	a	a	DET
ejpam-5822	806	3	four	four	NUM
ejpam-5822	806	4	-	-	PUNCT
ejpam-5822	806	5	point	point	NOUN
ejpam-5822	806	6	sixteen	sixteen	NUM
ejpam-5822	806	7	-	-	PUNCT
ejpam-5822	806	8	order	order	NOUN
ejpam-5822	806	9	king	king	NOUN
ejpam-5822	806	10	family	family	NOUN
ejpam-5822	806	11	of	of	ADP
ejpam-5822	806	12	iterative	iterative	NOUN
ejpam-5822	806	13	method	method	NOUN
ejpam-5822	806	14	for	for	ADP
ejpam-5822	806	15	solving	solve	VERB
ejpam-5822	806	16	nonlinear	nonlinear	ADJ
ejpam-5822	806	17	equations	equation	NOUN
ejpam-5822	806	18	.	.	PUNCT
ejpam-5822	807	1	international	international	ADJ
ejpam-5822	807	2	journal	journal	PROPN
ejpam-5822	807	3	of	of	ADP
ejpam-5822	807	4	mathematics	mathematics	PROPN
ejpam-5822	807	5	and	and	CCONJ
ejpam-5822	807	6	mathematical	mathematical	ADJ
ejpam-5822	807	7	sciences	science	NOUN
ejpam-5822	807	8	,	,	PUNCT
ejpam-5822	807	9	2012	2012	NUM
ejpam-5822	807	10	:	:	PUNCT
ejpam-5822	807	11	article	article	NOUN
ejpam-5822	807	12	i	i	PROPN
ejpam-5822	807	13	d	d	PROPN
ejpam-5822	807	14	979245	979245	NUM
ejpam-5822	807	15	,	,	PUNCT
ejpam-5822	807	16	13	13	NUM
ejpam-5822	807	17	pages	page	NOUN
ejpam-5822	807	18	,	,	PUNCT
ejpam-5822	807	19	2012	2012	NUM
ejpam-5822	807	20	.	.	PUNCT
ejpam-5822	808	1	[	[	X
ejpam-5822	808	2	19	19	NUM
ejpam-5822	808	3	]	]	X
ejpam-5822	808	4	f.	f.	PROPN
ejpam-5822	808	5	zafar	zafar	PROPN
ejpam-5822	808	6	,	,	PUNCT
ejpam-5822	808	7	n.	n.	PROPN
ejpam-5822	808	8	hussain	hussain	PROPN
ejpam-5822	808	9	,	,	PUNCT
ejpam-5822	808	10	z.	z.	PROPN
ejpam-5822	808	11	fatimah	fatimah	PROPN
ejpam-5822	808	12	,	,	PUNCT
ejpam-5822	808	13	and	and	CCONJ
ejpam-5822	808	14	a.	a.	NOUN
ejpam-5822	808	15	kharal	kharal	PROPN
ejpam-5822	808	16	.	.	PUNCT
ejpam-5822	809	1	optimal	optimal	ADJ
ejpam-5822	809	2	sixteenth	sixteenth	ADJ
ejpam-5822	809	3	-	-	PUNCT
ejpam-5822	809	4	order	order	NOUN
ejpam-5822	809	5	convergent	convergent	NOUN
ejpam-5822	809	6	method	method	NOUN
ejpam-5822	809	7	based	base	VERB
ejpam-5822	809	8	on	on	ADP
ejpam-5822	809	9	quasi	quasi	ADJ
ejpam-5822	809	10	-	-	ADJ
ejpam-5822	809	11	hermite	hermite	ADJ
ejpam-5822	809	12	interpolation	interpolation	NOUN
ejpam-5822	809	13	for	for	ADP
ejpam-5822	809	14	computing	compute	VERB
ejpam-5822	809	15	roots	root	NOUN
ejpam-5822	809	16	.	.	PUNCT
ejpam-5822	810	1	the	the	DET
ejpam-5822	810	2	scientific	scientific	ADJ
ejpam-5822	810	3	world	world	NOUN
ejpam-5822	810	4	journal	journal	NOUN
ejpam-5822	810	5	,	,	PUNCT
ejpam-5822	810	6	2014	2014	NUM
ejpam-5822	810	7	:	:	PUNCT
ejpam-5822	810	8	article	article	NOUN
ejpam-5822	810	9	i	i	PROPN
ejpam-5822	810	10	d	d	PROPN
ejpam-5822	810	11	930941	930941	NUM
ejpam-5822	810	12	,	,	PUNCT
ejpam-5822	810	13	7	7	NUM
ejpam-5822	810	14	pages	page	NOUN
ejpam-5822	810	15	,	,	PUNCT
ejpam-5822	810	16	2014	2014	NUM
ejpam-5822	810	17	.	.	PUNCT
ejpam-5822	811	1	[	[	X
ejpam-5822	811	2	20	20	NUM
ejpam-5822	811	3	]	]	X
ejpam-5822	811	4	s.	s.	PROPN
ejpam-5822	811	5	sharifi	sharifi	PROPN
ejpam-5822	811	6	,	,	PUNCT
ejpam-5822	811	7	m.	m.	NOUN
ejpam-5822	811	8	salimi	salimi	PROPN
ejpam-5822	811	9	,	,	PUNCT
ejpam-5822	811	10	s.	s.	PROPN
ejpam-5822	811	11	siegmund	siegmund	PROPN
ejpam-5822	811	12	,	,	PUNCT
ejpam-5822	811	13	and	and	CCONJ
ejpam-5822	811	14	t.	t.	PROPN
ejpam-5822	811	15	lotfi	lotfi	PROPN
ejpam-5822	811	16	.	.	PUNCT
ejpam-5822	812	1	a	a	DET
ejpam-5822	812	2	new	new	ADJ
ejpam-5822	812	3	class	class	NOUN
ejpam-5822	812	4	of	of	ADP
ejpam-5822	812	5	optimal	optimal	ADJ
ejpam-5822	812	6	four	four	NUM
ejpam-5822	812	7	-	-	PUNCT
ejpam-5822	812	8	point	point	NOUN
ejpam-5822	812	9	methods	method	NOUN
ejpam-5822	812	10	with	with	ADP
ejpam-5822	812	11	convergence	convergence	NOUN
ejpam-5822	812	12	order	order	NOUN
ejpam-5822	812	13	16	16	NUM
ejpam-5822	812	14	for	for	ADP
ejpam-5822	812	15	solving	solve	VERB
ejpam-5822	812	16	nonlinear	nonlinear	ADJ
ejpam-5822	812	17	equations	equation	NOUN
ejpam-5822	812	18	.	.	PUNCT
ejpam-5822	813	1	mathematics	mathematic	NOUN
ejpam-5822	813	2	and	and	CCONJ
ejpam-5822	813	3	computers	computer	NOUN
ejpam-5822	813	4	in	in	ADP
ejpam-5822	813	5	simulation	simulation	NOUN
ejpam-5822	813	6	,	,	PUNCT
ejpam-5822	813	7	119:69–90	119:69–90	NUM
ejpam-5822	813	8	,	,	PUNCT
ejpam-5822	813	9	2016	2016	NUM
ejpam-5822	813	10	.	.	PUNCT
ejpam-5822	814	1	[	[	X
ejpam-5822	814	2	21	21	NUM
ejpam-5822	814	3	]	]	X
ejpam-5822	814	4	j.	j.	PROPN
ejpam-5822	814	5	r.	r.	PROPN
ejpam-5822	814	6	sharma	sharma	PROPN
ejpam-5822	814	7	and	and	CCONJ
ejpam-5822	814	8	s.	s.	PROPN
ejpam-5822	814	9	kumar	kumar	PROPN
ejpam-5822	814	10	.	.	PROPN
ejpam-5822	815	1	efficient	efficient	ADJ
ejpam-5822	815	2	methods	method	NOUN
ejpam-5822	815	3	of	of	ADP
ejpam-5822	815	4	optimal	optimal	ADJ
ejpam-5822	815	5	eighth	eighth	ADJ
ejpam-5822	815	6	and	and	CCONJ
ejpam-5822	815	7	sixteenth	sixteenth	ADJ
ejpam-5822	815	8	-	-	PUNCT
ejpam-5822	815	9	order	order	NOUN
ejpam-5822	815	10	convergence	convergence	NOUN
ejpam-5822	815	11	for	for	ADP
ejpam-5822	815	12	solving	solve	VERB
ejpam-5822	815	13	nonlinear	nonlinear	ADJ
ejpam-5822	815	14	equations	equation	NOUN
ejpam-5822	815	15	.	.	PUNCT
ejpam-5822	816	1	sema	sema	PROPN
ejpam-5822	816	2	journal	journal	PROPN
ejpam-5822	816	3	,	,	PUNCT
ejpam-5822	816	4	75(2):229–253	75(2):229–253	NUM
ejpam-5822	816	5	,	,	PUNCT
ejpam-5822	816	6	2018	2018	NUM
ejpam-5822	816	7	.	.	PUNCT
ejpam-5822	817	1	[	[	X
ejpam-5822	817	2	22	22	NUM
ejpam-5822	817	3	]	]	X
ejpam-5822	817	4	r.	r.	PROPN
ejpam-5822	817	5	behl	behl	PROPN
ejpam-5822	817	6	,	,	PUNCT
ejpam-5822	817	7	s.	s.	PROPN
ejpam-5822	817	8	amat	amat	PROPN
ejpam-5822	817	9	,	,	PUNCT
ejpam-5822	817	10	á.	á.	ADJ
ejpam-5822	817	11	a.	a.	NOUN
ejpam-5822	817	12	magreñán	magreñán	PROPN
ejpam-5822	817	13	,	,	PUNCT
ejpam-5822	817	14	and	and	CCONJ
ejpam-5822	817	15	s.	s.	PROPN
ejpam-5822	817	16	s.	s.	PROPN
ejpam-5822	817	17	motsa	motsa	PROPN
ejpam-5822	817	18	.	.	PUNCT
ejpam-5822	818	1	an	an	DET
ejpam-5822	818	2	efficient	efficient	ADJ
ejpam-5822	818	3	optimal	optimal	ADJ
ejpam-5822	818	4	family	family	NOUN
ejpam-5822	818	5	of	of	ADP
ejpam-5822	818	6	sixteenthorder	sixteenthorder	NOUN
ejpam-5822	818	7	methods	method	NOUN
ejpam-5822	818	8	for	for	ADP
ejpam-5822	818	9	nonlinear	nonlinear	ADJ
ejpam-5822	818	10	models	model	NOUN
ejpam-5822	818	11	.	.	PUNCT
ejpam-5822	819	1	journal	journal	NOUN
ejpam-5822	819	2	of	of	ADP
ejpam-5822	819	3	computational	computational	ADJ
ejpam-5822	819	4	and	and	CCONJ
ejpam-5822	819	5	applied	applied	ADJ
ejpam-5822	819	6	mathematics	mathematic	NOUN
ejpam-5822	819	7	,	,	PUNCT
ejpam-5822	819	8	354:271–285	354:271–285	NUM
ejpam-5822	819	9	,	,	PUNCT
ejpam-5822	819	10	2019	2019	NUM
ejpam-5822	819	11	.	.	PUNCT
ejpam-5822	820	1	[	[	X
ejpam-5822	820	2	23	23	NUM
ejpam-5822	820	3	]	]	PUNCT
ejpam-5822	820	4	j.	j.	PROPN
ejpam-5822	820	5	r.	r.	PROPN
ejpam-5822	820	6	sharma	sharma	PROPN
ejpam-5822	820	7	and	and	CCONJ
ejpam-5822	820	8	h.	h.	PROPN
ejpam-5822	820	9	arora	arora	PROPN
ejpam-5822	820	10	.	.	PUNCT
ejpam-5822	821	1	efficient	efficient	ADJ
ejpam-5822	821	2	ostrowski	ostrowski	ADJ
ejpam-5822	821	3	-	-	PUNCT
ejpam-5822	821	4	like	like	ADJ
ejpam-5822	821	5	methods	method	NOUN
ejpam-5822	821	6	of	of	ADP
ejpam-5822	821	7	optimal	optimal	ADJ
ejpam-5822	821	8	eighthand	eighthand	NOUN
ejpam-5822	821	9	sixteenthorder	sixteenthorder	NOUN
ejpam-5822	821	10	convergence	convergence	NOUN
ejpam-5822	821	11	and	and	CCONJ
ejpam-5822	821	12	their	their	PRON
ejpam-5822	821	13	dynamics	dynamic	NOUN
ejpam-5822	821	14	.	.	PUNCT
ejpam-5822	822	1	afrika	afrika	PROPN
ejpam-5822	822	2	matematika	matematika	PROPN
ejpam-5822	822	3	,	,	PUNCT
ejpam-5822	822	4	30(5–6):921–941	30(5–6):921–941	NOUN
ejpam-5822	822	5	,	,	PUNCT
ejpam-5822	822	6	2019	2019	NUM
ejpam-5822	822	7	.	.	PUNCT
ejpam-5822	823	1	[	[	X
ejpam-5822	823	2	24	24	NUM
ejpam-5822	823	3	]	]	X
ejpam-5822	823	4	d.	d.	PROPN
ejpam-5822	823	5	ćebić	ćebić	PROPN
ejpam-5822	823	6	,	,	PUNCT
ejpam-5822	823	7	n.	n.	PROPN
ejpam-5822	823	8	m.	m.	PROPN
ejpam-5822	823	9	ralević	ralević	PROPN
ejpam-5822	823	10	,	,	PUNCT
ejpam-5822	823	11	and	and	CCONJ
ejpam-5822	823	12	m.	m.	NOUN
ejpam-5822	823	13	marčeta	marčeta	PROPN
ejpam-5822	823	14	.	.	PUNCT
ejpam-5822	824	1	an	an	DET
ejpam-5822	824	2	optimal	optimal	ADJ
ejpam-5822	824	3	sixteenth	sixteenth	ADJ
ejpam-5822	824	4	-	-	PUNCT
ejpam-5822	824	5	order	order	NOUN
ejpam-5822	824	6	family	family	NOUN
ejpam-5822	824	7	of	of	ADP
ejpam-5822	824	8	methods	method	NOUN
ejpam-5822	824	9	for	for	ADP
ejpam-5822	824	10	solving	solve	VERB
ejpam-5822	824	11	nonlinear	nonlinear	ADJ
ejpam-5822	824	12	equations	equation	NOUN
ejpam-5822	824	13	and	and	CCONJ
ejpam-5822	824	14	their	their	PRON
ejpam-5822	824	15	basins	basin	NOUN
ejpam-5822	824	16	of	of	ADP
ejpam-5822	824	17	attraction	attraction	NOUN
ejpam-5822	824	18	.	.	PUNCT
ejpam-5822	825	1	mathematical	mathematical	ADJ
ejpam-5822	825	2	communications	communication	NOUN
ejpam-5822	825	3	,	,	PUNCT
ejpam-5822	825	4	25(2):269–288	25(2):269–288	NUM
ejpam-5822	825	5	,	,	PUNCT
ejpam-5822	825	6	2020	2020	NUM
ejpam-5822	825	7	.	.	PUNCT
ejpam-5822	826	1	[	[	X
ejpam-5822	826	2	25	25	NUM
ejpam-5822	826	3	]	]	X
ejpam-5822	826	4	s.	s.	PROPN
ejpam-5822	826	5	akram	akram	PROPN
ejpam-5822	826	6	,	,	PUNCT
ejpam-5822	826	7	h.	h.	PROPN
ejpam-5822	826	8	khalid	khalid	PROPN
ejpam-5822	826	9	,	,	PUNCT
ejpam-5822	826	10	t.	t.	PROPN
ejpam-5822	826	11	rasulov	rasulov	PROPN
ejpam-5822	826	12	,	,	PUNCT
ejpam-5822	826	13	m.	m.	PROPN
ejpam-5822	826	14	khalid	khalid	PROPN
ejpam-5822	826	15	,	,	PUNCT
ejpam-5822	826	16	and	and	CCONJ
ejpam-5822	826	17	m.	m.	PROPN
ejpam-5822	826	18	u.	u.	PROPN
ejpam-5822	826	19	rehman	rehman	PROPN
ejpam-5822	826	20	.	.	PUNCT
ejpam-5822	827	1	a	a	DET
ejpam-5822	827	2	novel	novel	ADJ
ejpam-5822	827	3	variation	variation	NOUN
ejpam-5822	827	4	of	of	ADP
ejpam-5822	827	5	16th	16th	ADJ
ejpam-5822	827	6	-	-	PUNCT
ejpam-5822	827	7	order	order	NOUN
ejpam-5822	827	8	iterative	iterative	NOUN
ejpam-5822	827	9	scheme	scheme	NOUN
ejpam-5822	827	10	for	for	ADP
ejpam-5822	827	11	models	model	NOUN
ejpam-5822	827	12	in	in	ADP
ejpam-5822	827	13	blood	blood	NOUN
ejpam-5822	827	14	stream	stream	NOUN
ejpam-5822	827	15	,	,	PUNCT
ejpam-5822	827	16	chemical	chemical	NOUN
ejpam-5822	827	17	reactor	reactor	NOUN
ejpam-5822	827	18	,	,	PUNCT
ejpam-5822	827	19	and	and	CCONJ
ejpam-5822	827	20	its	its	PRON
ejpam-5822	827	21	dynamics	dynamic	NOUN
ejpam-5822	827	22	.	.	PUNCT
ejpam-5822	828	1	lobachevskii	lobachevskii	PROPN
ejpam-5822	828	2	journal	journal	PROPN
ejpam-5822	828	3	of	of	ADP
ejpam-5822	828	4	mathematics	mathematic	NOUN
ejpam-5822	828	5	,	,	PUNCT
ejpam-5822	828	6	44(9):5116–5131	44(9):5116–5131	NUM
ejpam-5822	828	7	,	,	PUNCT
ejpam-5822	828	8	2023	2023	NUM
ejpam-5822	828	9	.	.	PUNCT
ejpam-5822	829	1	s.	s.	PROPN
ejpam-5822	829	2	akram	akram	PROPN
ejpam-5822	829	3	et	et	PROPN
ejpam-5822	829	4	al	al	PROPN
ejpam-5822	829	5	.	.	PUNCT
ejpam-5822	829	6	/	/	SYM
ejpam-5822	829	7	eur	eur	PROPN
ejpam-5822	829	8	.	.	PUNCT
ejpam-5822	830	1	j.	j.	PROPN
ejpam-5822	830	2	pure	pure	PROPN
ejpam-5822	830	3	appl	appl	PROPN
ejpam-5822	830	4	.	.	PROPN
ejpam-5822	830	5	math	math	PROPN
ejpam-5822	830	6	,	,	PUNCT
ejpam-5822	830	7	18	18	NUM
ejpam-5822	830	8	(	(	PUNCT
ejpam-5822	830	9	2	2	NUM
ejpam-5822	830	10	)	)	PUNCT
ejpam-5822	830	11	(	(	PUNCT
ejpam-5822	830	12	2025	2025	NUM
ejpam-5822	830	13	)	)	PUNCT
ejpam-5822	830	14	,	,	PUNCT
ejpam-5822	830	15	5822	5822	NUM
ejpam-5822	830	16	26	26	NUM
ejpam-5822	830	17	of	of	ADP
ejpam-5822	830	18	26	26	NUM
ejpam-5822	831	1	[	[	X
ejpam-5822	831	2	26	26	NUM
ejpam-5822	831	3	]	]	X
ejpam-5822	831	4	v.	v.	CCONJ
ejpam-5822	831	5	kanwar	kanwar	PROPN
ejpam-5822	831	6	,	,	PUNCT
ejpam-5822	831	7	r.	r.	PROPN
ejpam-5822	831	8	bala	bala	PROPN
ejpam-5822	831	9	,	,	PUNCT
ejpam-5822	831	10	and	and	CCONJ
ejpam-5822	831	11	m.	m.	NOUN
ejpam-5822	831	12	kansal	kansal	NOUN
ejpam-5822	831	13	.	.	PUNCT
ejpam-5822	832	1	some	some	DET
ejpam-5822	832	2	new	new	ADJ
ejpam-5822	832	3	weighted	weight	VERB
ejpam-5822	832	4	eighth	eighth	ADJ
ejpam-5822	832	5	-	-	PUNCT
ejpam-5822	832	6	order	order	NOUN
ejpam-5822	832	7	variants	variant	NOUN
ejpam-5822	832	8	of	of	ADP
ejpam-5822	832	9	steffensenking	steffensenke	VERB
ejpam-5822	832	10	’s	’s	PART
ejpam-5822	832	11	type	type	NOUN
ejpam-5822	832	12	family	family	NOUN
ejpam-5822	832	13	for	for	ADP
ejpam-5822	832	14	solving	solve	VERB
ejpam-5822	832	15	nonlinear	nonlinear	ADJ
ejpam-5822	832	16	equations	equation	NOUN
ejpam-5822	832	17	and	and	CCONJ
ejpam-5822	832	18	its	its	PRON
ejpam-5822	832	19	dynamics	dynamic	NOUN
ejpam-5822	832	20	.	.	PUNCT
ejpam-5822	833	1	sema	sema	PROPN
ejpam-5822	833	2	journal	journal	PROPN
ejpam-5822	833	3	,	,	PUNCT
ejpam-5822	833	4	74(1):75–90	74(1):75–90	NUM
ejpam-5822	833	5	,	,	PUNCT
ejpam-5822	833	6	2017	2017	NUM
ejpam-5822	833	7	.	.	PUNCT
ejpam-5822	834	1	[	[	X
ejpam-5822	834	2	27	27	NUM
ejpam-5822	834	3	]	]	PUNCT
ejpam-5822	834	4	m.	m.	NOUN
ejpam-5822	834	5	u.	u.	PROPN
ejpam-5822	834	6	d.	d.	PROPN
ejpam-5822	834	7	junjua	junjua	PROPN
ejpam-5822	834	8	,	,	PUNCT
ejpam-5822	834	9	s.	s.	PROPN
ejpam-5822	834	10	akram	akram	PROPN
ejpam-5822	834	11	,	,	PUNCT
ejpam-5822	834	12	and	and	CCONJ
ejpam-5822	834	13	a.	a.	NOUN
ejpam-5822	834	14	tariq	tariq	PROPN
ejpam-5822	834	15	.	.	PUNCT
ejpam-5822	835	1	construction	construction	NOUN
ejpam-5822	835	2	of	of	ADP
ejpam-5822	835	3	optimal	optimal	ADJ
ejpam-5822	835	4	derivative	derivative	ADJ
ejpam-5822	835	5	-	-	PUNCT
ejpam-5822	835	6	free	free	ADJ
ejpam-5822	835	7	iterative	iterative	NOUN
ejpam-5822	835	8	methods	method	NOUN
ejpam-5822	835	9	for	for	ADP
ejpam-5822	835	10	nonlinear	nonlinear	ADJ
ejpam-5822	835	11	equations	equation	NOUN
ejpam-5822	835	12	using	use	VERB
ejpam-5822	835	13	lagrange	lagrange	NOUN
ejpam-5822	835	14	interpolation	interpolation	NOUN
ejpam-5822	835	15	.	.	PUNCT
ejpam-5822	836	1	journal	journal	NOUN
ejpam-5822	836	2	of	of	ADP
ejpam-5822	836	3	prime	prime	ADJ
ejpam-5822	836	4	research	research	NOUN
ejpam-5822	836	5	in	in	ADP
ejpam-5822	836	6	mathematics	mathematic	NOUN
ejpam-5822	836	7	,	,	PUNCT
ejpam-5822	836	8	16(1):30–45	16(1):30–45	NUM
ejpam-5822	836	9	,	,	PUNCT
ejpam-5822	836	10	2020	2020	NUM
ejpam-5822	836	11	.	.	PUNCT
ejpam-5822	837	1	[	[	X
ejpam-5822	837	2	28	28	NUM
ejpam-5822	837	3	]	]	X
ejpam-5822	837	4	p.	p.	PROPN
ejpam-5822	837	5	sivakumar	sivakumar	PROPN
ejpam-5822	837	6	,	,	PUNCT
ejpam-5822	837	7	k.	k.	PROPN
ejpam-5822	837	8	madhu	madhu	PROPN
ejpam-5822	837	9	,	,	PUNCT
ejpam-5822	837	10	and	and	CCONJ
ejpam-5822	837	11	j.	j.	PROPN
ejpam-5822	837	12	jayaraman	jayaraman	PROPN
ejpam-5822	837	13	.	.	PUNCT
ejpam-5822	838	1	optimal	optimal	ADJ
ejpam-5822	838	2	eighth	eighth	ADJ
ejpam-5822	838	3	and	and	CCONJ
ejpam-5822	838	4	sixteenth	sixteenth	ADJ
ejpam-5822	838	5	-	-	PUNCT
ejpam-5822	838	6	order	order	NOUN
ejpam-5822	838	7	iterative	iterative	NOUN
ejpam-5822	838	8	methods	method	NOUN
ejpam-5822	838	9	for	for	ADP
ejpam-5822	838	10	solving	solve	VERB
ejpam-5822	838	11	nonlinear	nonlinear	ADJ
ejpam-5822	838	12	equation	equation	NOUN
ejpam-5822	838	13	with	with	ADP
ejpam-5822	838	14	basins	basin	NOUN
ejpam-5822	838	15	of	of	ADP
ejpam-5822	838	16	attraction	attraction	NOUN
ejpam-5822	838	17	.	.	PUNCT
ejpam-5822	839	1	applied	apply	VERB
ejpam-5822	839	2	mathematics	mathematics	PROPN
ejpam-5822	839	3	enotes	enote	NOUN
ejpam-5822	839	4	,	,	PUNCT
ejpam-5822	839	5	21:320–343	21:320–343	PROPN
ejpam-5822	839	6	,	,	PUNCT
ejpam-5822	839	7	2021	2021	NUM
ejpam-5822	839	8	.	.	PUNCT
ejpam-5822	840	1	[	[	X
ejpam-5822	840	2	29	29	NUM
ejpam-5822	840	3	]	]	X
ejpam-5822	840	4	n.	n.	PROPN
ejpam-5822	840	5	yasmin	yasmin	PROPN
ejpam-5822	840	6	,	,	PUNCT
ejpam-5822	840	7	f.	f.	PROPN
ejpam-5822	840	8	zafar	zafar	PROPN
ejpam-5822	840	9	,	,	PUNCT
ejpam-5822	840	10	and	and	CCONJ
ejpam-5822	840	11	s.	s.	PROPN
ejpam-5822	840	12	akram	akram	PROPN
ejpam-5822	840	13	.	.	PUNCT
ejpam-5822	841	1	optimal	optimal	ADJ
ejpam-5822	841	2	derivative	derivative	ADJ
ejpam-5822	841	3	-	-	PUNCT
ejpam-5822	841	4	free	free	ADJ
ejpam-5822	841	5	root	root	NOUN
ejpam-5822	841	6	finding	finding	NOUN
ejpam-5822	841	7	methods	method	NOUN
ejpam-5822	841	8	based	base	VERB
ejpam-5822	841	9	on	on	ADP
ejpam-5822	841	10	the	the	DET
ejpam-5822	841	11	hermite	hermite	ADJ
ejpam-5822	841	12	interpolation	interpolation	NOUN
ejpam-5822	841	13	.	.	PUNCT
ejpam-5822	842	1	journal	journal	PROPN
ejpam-5822	842	2	of	of	ADP
ejpam-5822	842	3	nonlinear	nonlinear	PROPN
ejpam-5822	842	4	sciences	sciences	PROPN
ejpam-5822	842	5	and	and	CCONJ
ejpam-5822	842	6	applications	application	NOUN
ejpam-5822	842	7	,	,	PUNCT
ejpam-5822	842	8	9:4427–4435	9:4427–4435	NUM
ejpam-5822	842	9	,	,	PUNCT
ejpam-5822	842	10	2016	2016	NUM
ejpam-5822	842	11	.	.	PUNCT
ejpam-5822	843	1	[	[	X
ejpam-5822	843	2	30	30	NUM
ejpam-5822	843	3	]	]	X
ejpam-5822	843	4	f.	f.	PROPN
ejpam-5822	843	5	soleymani	soleymani	PROPN
ejpam-5822	843	6	,	,	PUNCT
ejpam-5822	843	7	s.	s.	PROPN
ejpam-5822	843	8	shateyi	shateyi	PROPN
ejpam-5822	843	9	,	,	PUNCT
ejpam-5822	843	10	and	and	CCONJ
ejpam-5822	843	11	h.	h.	PROPN
ejpam-5822	843	12	salmani	salmani	PROPN
ejpam-5822	843	13	.	.	PUNCT
ejpam-5822	844	1	computing	compute	VERB
ejpam-5822	844	2	simple	simple	ADJ
ejpam-5822	844	3	roots	root	NOUN
ejpam-5822	844	4	by	by	ADP
ejpam-5822	844	5	an	an	DET
ejpam-5822	844	6	optimal	optimal	ADJ
ejpam-5822	844	7	sixteenthorder	sixteenthorder	NOUN
ejpam-5822	844	8	class	class	NOUN
ejpam-5822	844	9	.	.	PUNCT
ejpam-5822	845	1	journal	journal	PROPN
ejpam-5822	845	2	of	of	ADP
ejpam-5822	845	3	applied	apply	VERB
ejpam-5822	845	4	mathematics	mathematic	NOUN
ejpam-5822	845	5	,	,	PUNCT
ejpam-5822	845	6	2012(1):958020	2012(1):958020	NOUN
ejpam-5822	845	7	,	,	PUNCT
ejpam-5822	845	8	2012	2012	NUM
ejpam-5822	845	9	.	.	PUNCT
ejpam-5822	846	1	[	[	X
ejpam-5822	846	2	31	31	NUM
ejpam-5822	846	3	]	]	PUNCT
ejpam-5822	846	4	m.	m.	NOUN
ejpam-5822	846	5	s.	s.	PROPN
ejpam-5822	846	6	petković	petković	PROPN
ejpam-5822	846	7	,	,	PUNCT
ejpam-5822	846	8	b.	b.	PROPN
ejpam-5822	846	9	neta	neta	PROPN
ejpam-5822	846	10	,	,	PUNCT
ejpam-5822	846	11	l.	l.	PROPN
ejpam-5822	846	12	d.	d.	PROPN
ejpam-5822	846	13	petković	petković	PROPN
ejpam-5822	846	14	,	,	PUNCT
ejpam-5822	846	15	and	and	CCONJ
ejpam-5822	846	16	j.	j.	PROPN
ejpam-5822	846	17	džunić.	džunić.	PROPN
ejpam-5822	846	18	multipoint	multipoint	NOUN
ejpam-5822	846	19	methods	method	NOUN
ejpam-5822	846	20	for	for	ADP
ejpam-5822	846	21	solving	solve	VERB
ejpam-5822	846	22	nonlinear	nonlinear	ADJ
ejpam-5822	846	23	equations	equation	NOUN
ejpam-5822	846	24	:	:	PUNCT
ejpam-5822	846	25	a	a	DET
ejpam-5822	846	26	survey	survey	NOUN
ejpam-5822	846	27	.	.	PUNCT
ejpam-5822	846	28	applied	apply	VERB
ejpam-5822	846	29	mathematics	mathematic	NOUN
ejpam-5822	846	30	and	and	CCONJ
ejpam-5822	846	31	computation	computation	NOUN
ejpam-5822	846	32	,	,	PUNCT
ejpam-5822	846	33	226:635–660	226:635–660	NUM
ejpam-5822	846	34	,	,	PUNCT
ejpam-5822	846	35	2014	2014	NUM
ejpam-5822	846	36	.	.	PUNCT
ejpam-5822	847	1	[	[	X
ejpam-5822	847	2	32	32	NUM
ejpam-5822	847	3	]	]	PUNCT
ejpam-5822	847	4	a.	a.	NOUN
ejpam-5822	847	5	cordero	cordero	PROPN
ejpam-5822	847	6	,	,	PUNCT
ejpam-5822	847	7	j.	j.	PROPN
ejpam-5822	847	8	l.	l.	PROPN
ejpam-5822	847	9	hueso	hueso	PROPN
ejpam-5822	847	10	,	,	PUNCT
ejpam-5822	847	11	e.	e.	PROPN
ejpam-5822	847	12	martı́nez	martı́nez	PROPN
ejpam-5822	847	13	,	,	PUNCT
ejpam-5822	847	14	and	and	CCONJ
ejpam-5822	847	15	j.	j.	PROPN
ejpam-5822	847	16	r.	r.	PROPN
ejpam-5822	847	17	torregrosa	torregrosa	PROPN
ejpam-5822	847	18	.	.	PUNCT
ejpam-5822	848	1	generating	generate	VERB
ejpam-5822	848	2	optimal	optimal	ADJ
ejpam-5822	848	3	derivativefree	derivativefree	ADJ
ejpam-5822	848	4	iterative	iterative	NOUN
ejpam-5822	848	5	methods	method	NOUN
ejpam-5822	848	6	for	for	ADP
ejpam-5822	848	7	nonlinear	nonlinear	ADJ
ejpam-5822	848	8	equations	equation	NOUN
ejpam-5822	848	9	by	by	ADP
ejpam-5822	848	10	using	use	VERB
ejpam-5822	848	11	polynomial	polynomial	ADJ
ejpam-5822	848	12	interpolation	interpolation	NOUN
ejpam-5822	848	13	.	.	PUNCT
ejpam-5822	849	1	mathematical	mathematical	ADJ
ejpam-5822	849	2	and	and	CCONJ
ejpam-5822	849	3	computer	computer	NOUN
ejpam-5822	849	4	modelling	modelling	NOUN
ejpam-5822	849	5	,	,	PUNCT
ejpam-5822	849	6	57(7	57(7	PROPN
ejpam-5822	849	7	-	-	SYM
ejpam-5822	849	8	8):1950–1956	8):1950–1956	NUM
ejpam-5822	849	9	,	,	PUNCT
ejpam-5822	849	10	2013	2013	NUM
ejpam-5822	849	11	.	.	PUNCT
ejpam-5822	850	1	[	[	X
ejpam-5822	850	2	33	33	NUM
ejpam-5822	850	3	]	]	PUNCT
ejpam-5822	850	4	s.	s.	PROPN
ejpam-5822	850	5	h.	h.	PROPN
ejpam-5822	850	6	strogatz	strogatz	PROPN
ejpam-5822	850	7	.	.	PUNCT
ejpam-5822	851	1	nonlinear	nonlinear	ADJ
ejpam-5822	851	2	dynamics	dynamic	NOUN
ejpam-5822	851	3	and	and	CCONJ
ejpam-5822	851	4	chaos	chaos	NOUN
ejpam-5822	851	5	:	:	PUNCT
ejpam-5822	851	6	with	with	ADP
ejpam-5822	851	7	applications	application	NOUN
ejpam-5822	851	8	to	to	ADP
ejpam-5822	851	9	physics	physics	NOUN
ejpam-5822	851	10	,	,	PUNCT
ejpam-5822	851	11	biology	biology	NOUN
ejpam-5822	851	12	,	,	PUNCT
ejpam-5822	851	13	chemistry	chemistry	NOUN
ejpam-5822	851	14	,	,	PUNCT
ejpam-5822	851	15	and	and	CCONJ
ejpam-5822	851	16	engineering	engineering	NOUN
ejpam-5822	851	17	.	.	PUNCT
ejpam-5822	852	1	crc	crc	PROPN
ejpam-5822	852	2	press	press	PROPN
ejpam-5822	852	3	,	,	PUNCT
ejpam-5822	852	4	2018	2018	NUM
ejpam-5822	852	5	.	.	PUNCT
ejpam-5822	853	1	[	[	X
ejpam-5822	853	2	34	34	NUM
ejpam-5822	853	3	]	]	X
ejpam-5822	853	4	e.	e.	PROPN
ejpam-5822	853	5	r.	r.	PROPN
ejpam-5822	853	6	kandel	kandel	PROPN
ejpam-5822	853	7	,	,	PUNCT
ejpam-5822	853	8	j.	j.	PROPN
ejpam-5822	853	9	h.	h.	PROPN
ejpam-5822	853	10	schwartz	schwartz	PROPN
ejpam-5822	853	11	,	,	PUNCT
ejpam-5822	853	12	t.	t.	PROPN
ejpam-5822	853	13	m.	m.	PROPN
ejpam-5822	853	14	jessell	jessell	PROPN
ejpam-5822	853	15	,	,	PUNCT
ejpam-5822	853	16	s.	s.	PROPN
ejpam-5822	853	17	siegelbaum	siegelbaum	PROPN
ejpam-5822	853	18	,	,	PUNCT
ejpam-5822	853	19	a.	a.	PROPN
ejpam-5822	853	20	j.	j.	PROPN
ejpam-5822	853	21	hudspeth	hudspeth	PROPN
ejpam-5822	853	22	,	,	PUNCT
ejpam-5822	853	23	and	and	CCONJ
ejpam-5822	853	24	s.	s.	PROPN
ejpam-5822	853	25	mack	mack	PROPN
ejpam-5822	853	26	.	.	PUNCT
ejpam-5822	854	1	principles	principle	NOUN
ejpam-5822	854	2	of	of	ADP
ejpam-5822	854	3	neural	neural	ADJ
ejpam-5822	854	4	science	science	NOUN
ejpam-5822	854	5	,	,	PUNCT
ejpam-5822	854	6	volume	volume	NOUN
ejpam-5822	854	7	4	4	NUM
ejpam-5822	854	8	.	.	PUNCT
ejpam-5822	854	9	mcgraw	mcgraw	PROPN
ejpam-5822	854	10	-	-	PUNCT
ejpam-5822	854	11	hill	hill	PROPN
ejpam-5822	854	12	,	,	PUNCT
ejpam-5822	854	13	new	new	PROPN
ejpam-5822	854	14	york	york	PROPN
ejpam-5822	854	15	,	,	PUNCT
ejpam-5822	854	16	2000	2000	NUM
ejpam-5822	854	17	.	.	PUNCT
ejpam-5822	855	1	[	[	X
ejpam-5822	855	2	35	35	NUM
ejpam-5822	855	3	]	]	X
ejpam-5822	855	4	w.	w.	PROPN
ejpam-5822	855	5	e.	e.	PROPN
ejpam-5822	855	6	grant	grant	PROPN
ejpam-5822	855	7	and	and	CCONJ
ejpam-5822	855	8	t.	t.	PROPN
ejpam-5822	855	9	m.	m.	NOUN
ejpam-5822	855	10	swannack	swannack	PROPN
ejpam-5822	855	11	.	.	PUNCT
ejpam-5822	856	1	ecological	ecological	ADJ
ejpam-5822	856	2	modeling	modeling	NOUN
ejpam-5822	856	3	:	:	PUNCT
ejpam-5822	856	4	a	a	DET
ejpam-5822	856	5	common	common	ADJ
ejpam-5822	856	6	-	-	PUNCT
ejpam-5822	856	7	sense	sense	NOUN
ejpam-5822	856	8	approach	approach	NOUN
ejpam-5822	856	9	to	to	ADP
ejpam-5822	856	10	theory	theory	NOUN
ejpam-5822	856	11	and	and	CCONJ
ejpam-5822	856	12	practice	practice	NOUN
ejpam-5822	856	13	.	.	PUNCT
ejpam-5822	857	1	john	john	PROPN
ejpam-5822	857	2	wiley	wiley	PROPN
ejpam-5822	857	3	&	&	CCONJ
ejpam-5822	857	4	sons	son	NOUN
ejpam-5822	857	5	,	,	PUNCT
ejpam-5822	857	6	2011	2011	NUM
ejpam-5822	857	7	.	.	PUNCT
ejpam-5822	858	1	[	[	X
ejpam-5822	858	2	36	36	NUM
ejpam-5822	858	3	]	]	X
ejpam-5822	858	4	e.	e.	PROPN
ejpam-5822	858	5	r.	r.	PROPN
ejpam-5822	858	6	vrscay	vrscay	PROPN
ejpam-5822	858	7	and	and	CCONJ
ejpam-5822	858	8	w.	w.	PROPN
ejpam-5822	858	9	j.	j.	PROPN
ejpam-5822	858	10	gilbert	gilbert	PROPN
ejpam-5822	858	11	.	.	PUNCT
ejpam-5822	859	1	extraneous	extraneous	ADJ
ejpam-5822	859	2	fixed	fix	VERB
ejpam-5822	859	3	points	point	NOUN
ejpam-5822	859	4	,	,	PUNCT
ejpam-5822	859	5	basin	basin	NOUN
ejpam-5822	859	6	boundaries	boundary	NOUN
ejpam-5822	859	7	and	and	CCONJ
ejpam-5822	859	8	chaotic	chaotic	ADJ
ejpam-5822	859	9	dynamics	dynamic	NOUN
ejpam-5822	859	10	for	for	ADP
ejpam-5822	859	11	schröder	schröder	NOUN
ejpam-5822	859	12	and	and	CCONJ
ejpam-5822	859	13	könig	könig	PROPN
ejpam-5822	859	14	rational	rational	ADJ
ejpam-5822	859	15	iteration	iteration	NOUN
ejpam-5822	859	16	functions	function	NOUN
ejpam-5822	859	17	.	.	PUNCT
ejpam-5822	860	1	numerische	numerische	PROPN
ejpam-5822	860	2	mathematik	mathematik	PROPN
ejpam-5822	860	3	,	,	PUNCT
ejpam-5822	860	4	52(1):1–16	52(1):1–16	PROPN
ejpam-5822	860	5	,	,	PUNCT
ejpam-5822	860	6	1988	1988	NUM
ejpam-5822	860	7	.	.	PUNCT
ejpam-5822	861	1	[	[	X
ejpam-5822	861	2	37	37	NUM
ejpam-5822	861	3	]	]	PUNCT
ejpam-5822	861	4	j.	j.	PROPN
ejpam-5822	861	5	l.	l.	PROPN
ejpam-5822	861	6	varona	varona	PROPN
ejpam-5822	861	7	.	.	PUNCT
ejpam-5822	862	1	graphic	graphic	PROPN
ejpam-5822	862	2	and	and	CCONJ
ejpam-5822	862	3	numerical	numerical	ADJ
ejpam-5822	862	4	comparison	comparison	NOUN
ejpam-5822	862	5	between	between	ADP
ejpam-5822	862	6	iterative	iterative	NOUN
ejpam-5822	862	7	methods	method	NOUN
ejpam-5822	862	8	.	.	PUNCT
ejpam-5822	863	1	the	the	DET
ejpam-5822	863	2	mathematical	mathematical	ADJ
ejpam-5822	863	3	intelligencer	intelligencer	NOUN
ejpam-5822	863	4	,	,	PUNCT
ejpam-5822	863	5	24(1):37–46	24(1):37–46	NUM
ejpam-5822	863	6	,	,	PUNCT
ejpam-5822	863	7	2002	2002	NUM
ejpam-5822	863	8	.	.	PUNCT
ejpam-5822	864	1	[	[	X
ejpam-5822	864	2	38	38	NUM
ejpam-5822	864	3	]	]	PUNCT
ejpam-5822	864	4	a.	a.	NOUN
ejpam-5822	864	5	naseem	naseem	PROPN
ejpam-5822	864	6	,	,	PUNCT
ejpam-5822	864	7	m.	m.	NOUN
ejpam-5822	864	8	a.	a.	PROPN
ejpam-5822	864	9	rehman	rehman	PROPN
ejpam-5822	864	10	,	,	PUNCT
ejpam-5822	864	11	and	and	CCONJ
ejpam-5822	864	12	t.	t.	NOUN
ejpam-5822	864	13	abdeljawad	abdeljawad	NOUN
ejpam-5822	864	14	.	.	PUNCT
ejpam-5822	865	1	computational	computational	ADJ
ejpam-5822	865	2	methods	method	NOUN
ejpam-5822	865	3	for	for	ADP
ejpam-5822	865	4	nonlinear	nonlinear	ADJ
ejpam-5822	865	5	equations	equation	NOUN
ejpam-5822	865	6	with	with	ADP
ejpam-5822	865	7	some	some	DET
ejpam-5822	865	8	real	real	ADJ
ejpam-5822	865	9	-	-	PUNCT
ejpam-5822	865	10	world	world	NOUN
ejpam-5822	865	11	applications	application	NOUN
ejpam-5822	865	12	and	and	CCONJ
ejpam-5822	865	13	their	their	PRON
ejpam-5822	865	14	graphical	graphical	ADJ
ejpam-5822	865	15	analysis	analysis	NOUN
ejpam-5822	865	16	.	.	PUNCT
ejpam-5822	866	1	intelligent	intelligent	ADJ
ejpam-5822	866	2	automation	automation	NOUN
ejpam-5822	866	3	and	and	CCONJ
ejpam-5822	866	4	soft	soft	ADJ
ejpam-5822	866	5	computing	computing	NOUN
ejpam-5822	866	6	,	,	PUNCT
ejpam-5822	866	7	30(3):545–558	30(3):545–558	NUM
ejpam-5822	866	8	,	,	PUNCT
ejpam-5822	866	9	2021	2021	NUM
ejpam-5822	866	10	.	.	PUNCT