id	sid	tid	token	lemma	pos
ejpam-4764	1	1	european	european	PROPN
ejpam-4764	1	2	journal	journal	PROPN
ejpam-4764	1	3	of	of	ADP
ejpam-4764	1	4	pure	pure	ADJ
ejpam-4764	1	5	and	and	CCONJ
ejpam-4764	1	6	applied	apply	VERB
ejpam-4764	1	7	mathematics	mathematic	NOUN
ejpam-4764	1	8	vol	vol	NOUN
ejpam-4764	1	9	.	.	PUNCT
ejpam-4764	2	1	16	16	NUM
ejpam-4764	2	2	,	,	PUNCT
ejpam-4764	2	3	no	no	INTJ
ejpam-4764	2	4	.	.	NOUN
ejpam-4764	2	5	2	2	NUM
ejpam-4764	2	6	,	,	PUNCT
ejpam-4764	2	7	2023	2023	NUM
ejpam-4764	2	8	,	,	PUNCT
ejpam-4764	2	9	1236	1236	NUM
ejpam-4764	2	10	-	-	SYM
ejpam-4764	2	11	1259	1259	NUM
ejpam-4764	2	12	issn	issn	PROPN
ejpam-4764	2	13	1307	1307	NUM
ejpam-4764	2	14	-	-	SYM
ejpam-4764	2	15	5543	5543	NUM
ejpam-4764	2	16	–	–	PUNCT
ejpam-4764	2	17	ejpam.com	ejpam.com	X
ejpam-4764	2	18	published	publish	VERB
ejpam-4764	2	19	by	by	ADP
ejpam-4764	2	20	new	new	PROPN
ejpam-4764	2	21	york	york	PROPN
ejpam-4764	2	22	business	business	PROPN
ejpam-4764	2	23	global	global	ADJ
ejpam-4764	2	24	solving	solve	VERB
ejpam-4764	2	25	fuzzy	fuzzy	ADJ
ejpam-4764	2	26	system	system	NOUN
ejpam-4764	2	27	of	of	ADP
ejpam-4764	2	28	boundary	boundary	ADJ
ejpam-4764	2	29	value	value	NOUN
ejpam-4764	2	30	problems	problem	NOUN
ejpam-4764	2	31	by	by	ADP
ejpam-4764	2	32	homotopy	homotopy	NOUN
ejpam-4764	2	33	perturbation	perturbation	NOUN
ejpam-4764	2	34	method	method	NOUN
ejpam-4764	2	35	with	with	ADP
ejpam-4764	2	36	green	green	PROPN
ejpam-4764	2	37	’s	’s	PART
ejpam-4764	2	38	function	function	PROPN
ejpam-4764	2	39	waleed	waleed	PROPN
ejpam-4764	2	40	al	al	PROPN
ejpam-4764	2	41	-	-	PUNCT
ejpam-4764	2	42	hayani1,∗	hayani1,∗	NOUN
ejpam-4764	2	43	,	,	PUNCT
ejpam-4764	2	44	mahasin	mahasin	ADJ
ejpam-4764	2	45	thabet	thabet	ADJ
ejpam-4764	2	46	younis1	younis1	PROPN
ejpam-4764	2	47	1	1	NUM
ejpam-4764	2	48	department	department	NOUN
ejpam-4764	2	49	of	of	ADP
ejpam-4764	2	50	mathematics	mathematic	NOUN
ejpam-4764	2	51	,	,	PUNCT
ejpam-4764	2	52	college	college	NOUN
ejpam-4764	2	53	of	of	ADP
ejpam-4764	2	54	computer	computer	NOUN
ejpam-4764	2	55	science	science	NOUN
ejpam-4764	2	56	and	and	CCONJ
ejpam-4764	2	57	mathematics	mathematic	NOUN
ejpam-4764	2	58	,	,	PUNCT
ejpam-4764	2	59	university	university	PROPN
ejpam-4764	2	60	of	of	ADP
ejpam-4764	2	61	mosul	mosul	PROPN
ejpam-4764	2	62	,	,	PUNCT
ejpam-4764	2	63	iraq	iraq	PROPN
ejpam-4764	2	64	.	.	PUNCT
ejpam-4764	3	1	abstract	abstract	ADJ
ejpam-4764	3	2	.	.	PUNCT
ejpam-4764	4	1	in	in	ADP
ejpam-4764	4	2	this	this	DET
ejpam-4764	4	3	research	research	NOUN
ejpam-4764	4	4	,	,	PUNCT
ejpam-4764	4	5	we	we	PRON
ejpam-4764	4	6	successfully	successfully	ADV
ejpam-4764	4	7	demonstrated	demonstrate	VERB
ejpam-4764	4	8	the	the	DET
ejpam-4764	4	9	use	use	NOUN
ejpam-4764	4	10	of	of	ADP
ejpam-4764	4	11	the	the	DET
ejpam-4764	4	12	homotopy	homotopy	NOUN
ejpam-4764	4	13	perturbation	perturbation	NOUN
ejpam-4764	4	14	method	method	NOUN
ejpam-4764	4	15	with	with	ADP
ejpam-4764	4	16	green	green	PROPN
ejpam-4764	4	17	’s	’s	PART
ejpam-4764	4	18	function	function	NOUN
ejpam-4764	4	19	to	to	PART
ejpam-4764	4	20	find	find	VERB
ejpam-4764	4	21	approximate	approximate	ADJ
ejpam-4764	4	22	solutions	solution	NOUN
ejpam-4764	4	23	for	for	ADP
ejpam-4764	4	24	the	the	DET
ejpam-4764	4	25	fuzzy	fuzzy	ADJ
ejpam-4764	4	26	system	system	NOUN
ejpam-4764	4	27	of	of	ADP
ejpam-4764	4	28	boundary	boundary	ADJ
ejpam-4764	4	29	value	value	NOUN
ejpam-4764	4	30	problems	problem	NOUN
ejpam-4764	4	31	.	.	PUNCT
ejpam-4764	5	1	our	our	PRON
ejpam-4764	5	2	results	result	NOUN
ejpam-4764	5	3	showcase	showcase	VERB
ejpam-4764	5	4	the	the	DET
ejpam-4764	5	5	effectiveness	effectiveness	NOUN
ejpam-4764	5	6	of	of	ADP
ejpam-4764	5	7	this	this	DET
ejpam-4764	5	8	method	method	NOUN
ejpam-4764	5	9	in	in	ADP
ejpam-4764	5	10	providing	provide	VERB
ejpam-4764	5	11	accurate	accurate	ADJ
ejpam-4764	5	12	and	and	CCONJ
ejpam-4764	5	13	reliable	reliable	ADJ
ejpam-4764	5	14	solutions	solution	NOUN
ejpam-4764	5	15	.	.	PUNCT
ejpam-4764	6	1	the	the	DET
ejpam-4764	6	2	consistent	consistent	ADJ
ejpam-4764	6	3	way	way	NOUN
ejpam-4764	6	4	to	to	PART
ejpam-4764	6	5	reduce	reduce	VERB
ejpam-4764	6	6	the	the	DET
ejpam-4764	6	7	size	size	NOUN
ejpam-4764	6	8	of	of	ADP
ejpam-4764	6	9	the	the	DET
ejpam-4764	6	10	computation	computation	NOUN
ejpam-4764	6	11	gives	give	VERB
ejpam-4764	6	12	to	to	PART
ejpam-4764	6	13	reach	reach	VERB
ejpam-4764	6	14	the	the	DET
ejpam-4764	6	15	exact	exact	ADJ
ejpam-4764	6	16	solution	solution	NOUN
ejpam-4764	6	17	is	be	AUX
ejpam-4764	6	18	one	one	NUM
ejpam-4764	6	19	of	of	ADP
ejpam-4764	6	20	the	the	DET
ejpam-4764	6	21	best	good	ADJ
ejpam-4764	6	22	methods	method	NOUN
ejpam-4764	6	23	adopted	adopt	VERB
ejpam-4764	6	24	to	to	PART
ejpam-4764	6	25	determine	determine	VERB
ejpam-4764	6	26	the	the	DET
ejpam-4764	6	27	behavior	behavior	NOUN
ejpam-4764	6	28	of	of	ADP
ejpam-4764	6	29	the	the	DET
ejpam-4764	6	30	solution	solution	NOUN
ejpam-4764	6	31	directly	directly	ADV
ejpam-4764	6	32	in	in	ADP
ejpam-4764	6	33	order	order	NOUN
ejpam-4764	6	34	to	to	PART
ejpam-4764	6	35	determine	determine	VERB
ejpam-4764	6	36	the	the	DET
ejpam-4764	6	37	approximate	approximate	ADJ
ejpam-4764	6	38	solution	solution	NOUN
ejpam-4764	6	39	analytically	analytically	ADV
ejpam-4764	6	40	,	,	PUNCT
ejpam-4764	6	41	finally	finally	ADV
ejpam-4764	6	42	,	,	PUNCT
ejpam-4764	6	43	the	the	DET
ejpam-4764	6	44	problems	problem	NOUN
ejpam-4764	6	45	that	that	PRON
ejpam-4764	6	46	have	have	AUX
ejpam-4764	6	47	been	be	AUX
ejpam-4764	6	48	addressed	address	VERB
ejpam-4764	6	49	confirmed	confirm	VERB
ejpam-4764	6	50	the	the	DET
ejpam-4764	6	51	validity	validity	NOUN
ejpam-4764	6	52	of	of	ADP
ejpam-4764	6	53	the	the	DET
ejpam-4764	6	54	method	method	NOUN
ejpam-4764	6	55	applied	apply	VERB
ejpam-4764	6	56	analytically	analytically	ADV
ejpam-4764	6	57	in	in	ADP
ejpam-4764	6	58	this	this	DET
ejpam-4764	6	59	research	research	NOUN
ejpam-4764	6	60	using	use	VERB
ejpam-4764	6	61	comparison	comparison	NOUN
ejpam-4764	6	62	with	with	ADP
ejpam-4764	6	63	some	some	DET
ejpam-4764	6	64	numerical	numerical	ADJ
ejpam-4764	6	65	problems	problem	NOUN
ejpam-4764	6	66	.	.	PUNCT
ejpam-4764	7	1	2020	2020	NUM
ejpam-4764	7	2	mathematics	mathematic	NOUN
ejpam-4764	7	3	subject	subject	NOUN
ejpam-4764	7	4	classifications	classification	NOUN
ejpam-4764	7	5	:	:	PUNCT
ejpam-4764	7	6	03e72	03e72	NUM
ejpam-4764	7	7	,	,	PUNCT
ejpam-4764	7	8	34a07	34a07	NUM
ejpam-4764	7	9	,	,	PUNCT
ejpam-4764	7	10	34b05	34b05	NUM
ejpam-4764	7	11	,	,	PUNCT
ejpam-4764	7	12	34b15	34b15	NUM
ejpam-4764	7	13	key	key	ADJ
ejpam-4764	7	14	words	word	NOUN
ejpam-4764	7	15	and	and	CCONJ
ejpam-4764	7	16	phrases	phrase	NOUN
ejpam-4764	7	17	:	:	PUNCT
ejpam-4764	7	18	fuzzy	fuzzy	ADJ
ejpam-4764	7	19	system	system	NOUN
ejpam-4764	7	20	,	,	PUNCT
ejpam-4764	7	21	boundary	boundary	ADJ
ejpam-4764	7	22	value	value	NOUN
ejpam-4764	7	23	problems	problem	NOUN
ejpam-4764	7	24	,	,	PUNCT
ejpam-4764	7	25	homotopy	homotopy	VERB
ejpam-4764	7	26	perturbation	perturbation	NOUN
ejpam-4764	7	27	method	method	NOUN
ejpam-4764	7	28	,	,	PUNCT
ejpam-4764	7	29	he	he	PRON
ejpam-4764	7	30	’s	’	VERB
ejpam-4764	7	31	polynomials	polynomial	NOUN
ejpam-4764	7	32	,	,	PUNCT
ejpam-4764	7	33	green	green	PROPN
ejpam-4764	7	34	’s	’s	PART
ejpam-4764	7	35	function	function	NOUN
ejpam-4764	7	36	1	1	NUM
ejpam-4764	7	37	.	.	X
ejpam-4764	7	38	introduction	introduction	NOUN
ejpam-4764	7	39	a	a	DET
ejpam-4764	7	40	multitude	multitude	NOUN
ejpam-4764	7	41	of	of	ADP
ejpam-4764	7	42	dynamic	dynamic	ADJ
ejpam-4764	7	43	processes	process	NOUN
ejpam-4764	7	44	can	can	AUX
ejpam-4764	7	45	be	be	AUX
ejpam-4764	7	46	represented	represent	VERB
ejpam-4764	7	47	mathematically	mathematically	ADV
ejpam-4764	7	48	as	as	ADP
ejpam-4764	7	49	systems	system	NOUN
ejpam-4764	7	50	of	of	ADP
ejpam-4764	7	51	partial	partial	ADJ
ejpam-4764	7	52	or	or	CCONJ
ejpam-4764	7	53	ordinary	ordinary	ADJ
ejpam-4764	7	54	differential	differential	ADJ
ejpam-4764	7	55	equations	equation	NOUN
ejpam-4764	7	56	.	.	PUNCT
ejpam-4764	8	1	differential	differential	ADJ
ejpam-4764	8	2	equations	equation	NOUN
ejpam-4764	8	3	have	have	AUX
ejpam-4764	8	4	been	be	AUX
ejpam-4764	8	5	widely	widely	ADV
ejpam-4764	8	6	recognized	recognize	VERB
ejpam-4764	8	7	as	as	ADP
ejpam-4764	8	8	a	a	DET
ejpam-4764	8	9	successful	successful	ADJ
ejpam-4764	8	10	modeling	modeling	NOUN
ejpam-4764	8	11	approach	approach	NOUN
ejpam-4764	8	12	.	.	PUNCT
ejpam-4764	9	1	meanwhile	meanwhile	ADV
ejpam-4764	9	2	,	,	PUNCT
ejpam-4764	9	3	fuzzy	fuzzy	ADJ
ejpam-4764	9	4	group	group	NOUN
ejpam-4764	9	5	theory	theory	NOUN
ejpam-4764	9	6	serves	serve	VERB
ejpam-4764	9	7	as	as	ADP
ejpam-4764	9	8	a	a	DET
ejpam-4764	9	9	potent	potent	ADJ
ejpam-4764	9	10	tool	tool	NOUN
ejpam-4764	9	11	in	in	ADP
ejpam-4764	9	12	handling	handle	VERB
ejpam-4764	9	13	unknown	unknown	ADJ
ejpam-4764	9	14	variables	variable	NOUN
ejpam-4764	9	15	and	and	CCONJ
ejpam-4764	9	16	processing	process	VERB
ejpam-4764	9	17	fuzzy	fuzzy	ADJ
ejpam-4764	9	18	or	or	CCONJ
ejpam-4764	9	19	subjective	subjective	ADJ
ejpam-4764	9	20	information	information	NOUN
ejpam-4764	9	21	in	in	ADP
ejpam-4764	9	22	mathematical	mathematical	ADJ
ejpam-4764	9	23	models	model	NOUN
ejpam-4764	9	24	[	[	X
ejpam-4764	9	25	1	1	NUM
ejpam-4764	9	26	,	,	PUNCT
ejpam-4764	9	27	5	5	NUM
ejpam-4764	9	28	,	,	PUNCT
ejpam-4764	9	29	9	9	NUM
ejpam-4764	9	30	,	,	PUNCT
ejpam-4764	9	31	18	18	NUM
ejpam-4764	9	32	]	]	PUNCT
ejpam-4764	9	33	.	.	PUNCT
ejpam-4764	10	1	it	it	PRON
ejpam-4764	10	2	may	may	AUX
ejpam-4764	10	3	be	be	AUX
ejpam-4764	10	4	necessary	necessary	ADJ
ejpam-4764	10	5	to	to	PART
ejpam-4764	10	6	use	use	VERB
ejpam-4764	10	7	such	such	ADJ
ejpam-4764	10	8	mathematical	mathematical	ADJ
ejpam-4764	10	9	modeling	modeling	NOUN
ejpam-4764	10	10	,	,	PUNCT
ejpam-4764	10	11	and	and	CCONJ
ejpam-4764	10	12	to	to	PART
ejpam-4764	10	13	use	use	VERB
ejpam-4764	10	14	fuzzy	fuzzy	ADJ
ejpam-4764	10	15	differential	differential	ADJ
ejpam-4764	10	16	equations	equation	NOUN
ejpam-4764	10	17	(	(	PUNCT
ejpam-4764	10	18	fdes	fde	NOUN
ejpam-4764	10	19	)	)	PUNCT
ejpam-4764	10	20	that	that	PRON
ejpam-4764	10	21	involve	involve	VERB
ejpam-4764	10	22	a	a	DET
ejpam-4764	10	23	system	system	NOUN
ejpam-4764	10	24	of	of	ADP
ejpam-4764	10	25	elementary	elementary	ADJ
ejpam-4764	10	26	value	value	NOUN
ejpam-4764	10	27	problems	problem	NOUN
ejpam-4764	10	28	.	.	PUNCT
ejpam-4764	11	1	fuzzy	fuzzy	ADJ
ejpam-4764	11	2	systems	system	NOUN
ejpam-4764	11	3	of	of	ADP
ejpam-4764	11	4	differential	differential	ADJ
ejpam-4764	11	5	equations	equation	NOUN
ejpam-4764	11	6	appear	appear	VERB
ejpam-4764	11	7	when	when	SCONJ
ejpam-4764	11	8	modeling	model	VERB
ejpam-4764	11	9	these	these	DET
ejpam-4764	11	10	problems	problem	NOUN
ejpam-4764	11	11	are	be	AUX
ejpam-4764	11	12	incomplete	incomplete	ADJ
ejpam-4764	11	13	and	and	CCONJ
ejpam-4764	11	14	questionable	questionable	ADJ
ejpam-4764	11	15	in	in	ADP
ejpam-4764	11	16	the	the	DET
ejpam-4764	11	17	case	case	NOUN
ejpam-4764	11	18	of	of	ADP
ejpam-4764	11	19	inaccurate	inaccurate	ADJ
ejpam-4764	11	20	data	datum	NOUN
ejpam-4764	11	21	.	.	PUNCT
ejpam-4764	12	1	fuzzy	fuzzy	ADJ
ejpam-4764	12	2	differential	differential	ADJ
ejpam-4764	12	3	equation	equation	NOUN
ejpam-4764	12	4	systems	system	NOUN
ejpam-4764	12	5	are	be	AUX
ejpam-4764	12	6	applicable	applicable	ADJ
ejpam-4764	12	7	mathematical	mathematical	ADJ
ejpam-4764	12	8	models	model	NOUN
ejpam-4764	12	9	[	[	X
ejpam-4764	12	10	6	6	NUM
ejpam-4764	12	11	]	]	PUNCT
ejpam-4764	12	12	.	.	PUNCT
ejpam-4764	13	1	dynamic	dynamic	ADJ
ejpam-4764	13	2	models	model	NOUN
ejpam-4764	13	3	of	of	ADP
ejpam-4764	13	4	dynamic	dynamic	ADJ
ejpam-4764	13	5	systems	system	NOUN
ejpam-4764	13	6	with	with	ADP
ejpam-4764	13	7	uncertainties	uncertainty	NOUN
ejpam-4764	13	8	or	or	CCONJ
ejpam-4764	13	9	ambiguous	ambiguous	ADJ
ejpam-4764	13	10	models	model	NOUN
ejpam-4764	13	11	,	,	PUNCT
ejpam-4764	13	12	represented	represent	VERB
ejpam-4764	13	13	by	by	ADP
ejpam-4764	13	14	fuzzy	fuzzy	ADJ
ejpam-4764	13	15	differential	differential	ADJ
ejpam-4764	13	16	equations	equation	NOUN
ejpam-4764	13	17	,	,	PUNCT
ejpam-4764	13	18	are	be	AUX
ejpam-4764	13	19	widely	widely	ADV
ejpam-4764	13	20	utilized	utilize	VERB
ejpam-4764	13	21	across	across	ADP
ejpam-4764	13	22	a	a	DET
ejpam-4764	13	23	spectrum	spectrum	NOUN
ejpam-4764	13	24	of	of	ADP
ejpam-4764	13	25	fields	field	NOUN
ejpam-4764	13	26	,	,	PUNCT
ejpam-4764	13	27	such	such	ADJ
ejpam-4764	13	28	as	as	ADP
ejpam-4764	13	29	geometry	geometry	NOUN
ejpam-4764	13	30	and	and	CCONJ
ejpam-4764	13	31	population	population	NOUN
ejpam-4764	13	32	modeling	modeling	NOUN
ejpam-4764	13	33	.	.	PUNCT
ejpam-4764	14	1	these	these	DET
ejpam-4764	14	2	models	model	NOUN
ejpam-4764	14	3	have	have	AUX
ejpam-4764	14	4	proven	prove	VERB
ejpam-4764	14	5	to	to	PART
ejpam-4764	14	6	be	be	AUX
ejpam-4764	14	7	versatile	versatile	ADJ
ejpam-4764	14	8	and	and	CCONJ
ejpam-4764	14	9	applicable	applicable	ADJ
ejpam-4764	14	10	in	in	ADP
ejpam-4764	14	11	a	a	DET
ejpam-4764	14	12	diverse	diverse	ADJ
ejpam-4764	14	13	range	range	NOUN
ejpam-4764	14	14	of	of	ADP
ejpam-4764	14	15	∗corresponding	∗corresponde	VERB
ejpam-4764	14	16	author	author	NOUN
ejpam-4764	14	17	.	.	PUNCT
ejpam-4764	15	1	doi	doi	NOUN
ejpam-4764	15	2	:	:	PUNCT
ejpam-4764	15	3	https://doi.org/10.29020/nybg.ejpam.v16i2.4764	https://doi.org/10.29020/nybg.ejpam.v16i2.4764	PRON
ejpam-4764	15	4	email	email	NOUN
ejpam-4764	15	5	addresses	address	NOUN
ejpam-4764	15	6	:	:	PUNCT
ejpam-4764	15	7	waleedalhayani@uomosul.edu.iq	waleedalhayani@uomosul.edu.iq	NOUN
ejpam-4764	15	8	(	(	PUNCT
ejpam-4764	15	9	waleed	waleed	PROPN
ejpam-4764	15	10	al	al	PROPN
ejpam-4764	15	11	-	-	PUNCT
ejpam-4764	15	12	hayani	hayani	PROPN
ejpam-4764	15	13	)	)	PUNCT
ejpam-4764	15	14	,	,	PUNCT
ejpam-4764	15	15	mahasin	mahasin	NOUN
ejpam-4764	15	16	thabet@uomosul.edu.iq	thabet@uomosul.edu.iq	NOUN
ejpam-4764	15	17	(	(	PUNCT
ejpam-4764	15	18	mahasin	mahasin	PROPN
ejpam-4764	15	19	younis	younis	PROPN
ejpam-4764	15	20	)	)	PUNCT
ejpam-4764	15	21	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4764	15	22	1236	1236	NUM
ejpam-4764	16	1	©	©	PROPN
ejpam-4764	16	2	2023	2023	NUM
ejpam-4764	16	3	ejpam	ejpam	NOUN
ejpam-4764	16	4	all	all	DET
ejpam-4764	16	5	rights	right	NOUN
ejpam-4764	16	6	reserved	reserve	VERB
ejpam-4764	16	7	.	.	PUNCT
ejpam-4764	17	1	w.	w.	PROPN
ejpam-4764	17	2	al	al	PROPN
ejpam-4764	17	3	-	-	PUNCT
ejpam-4764	17	4	hayani	hayani	PROPN
ejpam-4764	17	5	,	,	PUNCT
ejpam-4764	17	6	m	m	VERB
ejpam-4764	17	7	t.	t.	NOUN
ejpam-4764	17	8	younis	younis	PROPN
ejpam-4764	17	9	/	/	SYM
ejpam-4764	17	10	eur	eur	PROPN
ejpam-4764	17	11	.	.	PUNCT
ejpam-4764	18	1	j.	j.	PROPN
ejpam-4764	18	2	pure	pure	PROPN
ejpam-4764	18	3	appl	appl	PROPN
ejpam-4764	18	4	.	.	PROPN
ejpam-4764	18	5	math	math	PROPN
ejpam-4764	18	6	,	,	PUNCT
ejpam-4764	18	7	16	16	NUM
ejpam-4764	18	8	(	(	PUNCT
ejpam-4764	18	9	2	2	NUM
ejpam-4764	18	10	)	)	PUNCT
ejpam-4764	18	11	(	(	PUNCT
ejpam-4764	18	12	2023	2023	NUM
ejpam-4764	18	13	)	)	PUNCT
ejpam-4764	18	14	,	,	PUNCT
ejpam-4764	18	15	1236	1236	NUM
ejpam-4764	18	16	-	-	SYM
ejpam-4764	18	17	1259	1259	NUM
ejpam-4764	18	18	1237	1237	NUM
ejpam-4764	18	19	applications	application	NOUN
ejpam-4764	18	20	,	,	PUNCT
ejpam-4764	18	21	making	make	VERB
ejpam-4764	18	22	them	they	PRON
ejpam-4764	18	23	a	a	DET
ejpam-4764	18	24	valuable	valuable	ADJ
ejpam-4764	18	25	tool	tool	NOUN
ejpam-4764	18	26	for	for	ADP
ejpam-4764	18	27	data	datum	NOUN
ejpam-4764	18	28	analysis	analysis	NOUN
ejpam-4764	18	29	and	and	CCONJ
ejpam-4764	18	30	modeling	modeling	NOUN
ejpam-4764	18	31	[	[	X
ejpam-4764	18	32	24	24	NUM
ejpam-4764	18	33	]	]	PUNCT
ejpam-4764	18	34	.	.	PUNCT
ejpam-4764	19	1	in	in	ADP
ejpam-4764	19	2	recent	recent	ADJ
ejpam-4764	19	3	years	year	NOUN
ejpam-4764	19	4	,	,	PUNCT
ejpam-4764	19	5	the	the	DET
ejpam-4764	19	6	homotopy	homotopy	NOUN
ejpam-4764	19	7	perturbation	perturbation	NOUN
ejpam-4764	19	8	method	method	NOUN
ejpam-4764	19	9	(	(	PUNCT
ejpam-4764	19	10	hpm	hpm	NOUN
ejpam-4764	19	11	)	)	PUNCT
ejpam-4764	19	12	has	have	AUX
ejpam-4764	19	13	been	be	AUX
ejpam-4764	19	14	studied	study	VERB
ejpam-4764	19	15	and	and	CCONJ
ejpam-4764	19	16	successfully	successfully	ADV
ejpam-4764	19	17	applied	apply	VERB
ejpam-4764	19	18	by	by	ADP
ejpam-4764	19	19	many	many	ADJ
ejpam-4764	19	20	engineers	engineer	NOUN
ejpam-4764	19	21	,	,	PUNCT
ejpam-4764	19	22	scientists	scientist	NOUN
ejpam-4764	19	23	and	and	CCONJ
ejpam-4764	19	24	researchers	researcher	NOUN
ejpam-4764	19	25	,	,	PUNCT
ejpam-4764	19	26	and	and	CCONJ
ejpam-4764	19	27	used	use	VERB
ejpam-4764	19	28	to	to	PART
ejpam-4764	19	29	solve	solve	VERB
ejpam-4764	19	30	the	the	DET
ejpam-4764	19	31	integral	integral	ADJ
ejpam-4764	19	32	equations	equation	NOUN
ejpam-4764	19	33	and	and	CCONJ
ejpam-4764	19	34	differential	differential	ADJ
ejpam-4764	19	35	equations	equation	NOUN
ejpam-4764	19	36	.	.	PUNCT
ejpam-4764	20	1	this	this	DET
ejpam-4764	20	2	hpm	hpm	NOUN
ejpam-4764	20	3	was	be	AUX
ejpam-4764	20	4	introduced	introduce	VERB
ejpam-4764	20	5	first	first	ADV
ejpam-4764	20	6	by	by	ADP
ejpam-4764	20	7	dr	dr	PROPN
ejpam-4764	20	8	.	.	PROPN
ejpam-4764	21	1	ji	ji	PROPN
ejpam-4764	21	2	huan	huan	PROPN
ejpam-4764	21	3	he	he	PRON
ejpam-4764	21	4	in	in	ADP
ejpam-4764	21	5	1998	1998	NUM
ejpam-4764	22	1	[	[	X
ejpam-4764	22	2	15	15	NUM
ejpam-4764	22	3	,	,	PUNCT
ejpam-4764	22	4	16	16	NUM
ejpam-4764	22	5	]	]	PUNCT
ejpam-4764	22	6	.	.	PUNCT
ejpam-4764	23	1	the	the	DET
ejpam-4764	23	2	hpm	hpm	NOUN
ejpam-4764	23	3	is	be	AUX
ejpam-4764	23	4	a	a	DET
ejpam-4764	23	5	coupling	coupling	NOUN
ejpam-4764	23	6	of	of	ADP
ejpam-4764	23	7	the	the	DET
ejpam-4764	23	8	homotopy	homotopy	NOUN
ejpam-4764	23	9	method	method	NOUN
ejpam-4764	23	10	,	,	PUNCT
ejpam-4764	23	11	a	a	DET
ejpam-4764	23	12	basic	basic	ADJ
ejpam-4764	23	13	concept	concept	NOUN
ejpam-4764	23	14	of	of	ADP
ejpam-4764	23	15	topology	topology	NOUN
ejpam-4764	23	16	,	,	PUNCT
ejpam-4764	23	17	and	and	CCONJ
ejpam-4764	23	18	the	the	DET
ejpam-4764	23	19	classical	classical	ADJ
ejpam-4764	23	20	perturbation	perturbation	NOUN
ejpam-4764	23	21	technique	technique	NOUN
ejpam-4764	23	22	.	.	PUNCT
ejpam-4764	24	1	this	this	DET
ejpam-4764	24	2	coupling	coupling	NOUN
ejpam-4764	24	3	will	will	AUX
ejpam-4764	24	4	provide	provide	VERB
ejpam-4764	24	5	with	with	ADP
ejpam-4764	24	6	a	a	DET
ejpam-4764	24	7	suitable	suitable	ADJ
ejpam-4764	24	8	way	way	NOUN
ejpam-4764	24	9	to	to	PART
ejpam-4764	24	10	obtain	obtain	VERB
ejpam-4764	24	11	approximate	approximate	ADJ
ejpam-4764	24	12	or	or	CCONJ
ejpam-4764	24	13	analytic	analytic	ADJ
ejpam-4764	24	14	solution	solution	NOUN
ejpam-4764	24	15	for	for	ADP
ejpam-4764	24	16	different	different	ADJ
ejpam-4764	24	17	problems	problem	NOUN
ejpam-4764	24	18	arising	arise	VERB
ejpam-4764	24	19	in	in	ADP
ejpam-4764	24	20	various	various	ADJ
ejpam-4764	24	21	scientific	scientific	ADJ
ejpam-4764	24	22	fields	field	NOUN
ejpam-4764	24	23	[	[	X
ejpam-4764	24	24	14	14	NUM
ejpam-4764	24	25	]	]	PUNCT
ejpam-4764	24	26	.	.	PUNCT
ejpam-4764	25	1	the	the	DET
ejpam-4764	25	2	hpm	hpm	NOUN
ejpam-4764	25	3	boasts	boast	VERB
ejpam-4764	25	4	several	several	ADJ
ejpam-4764	25	5	advantages	advantage	NOUN
ejpam-4764	25	6	,	,	PUNCT
ejpam-4764	25	7	including	include	VERB
ejpam-4764	25	8	the	the	DET
ejpam-4764	25	9	ability	ability	NOUN
ejpam-4764	25	10	to	to	PART
ejpam-4764	25	11	obtain	obtain	VERB
ejpam-4764	25	12	accurate	accurate	ADJ
ejpam-4764	25	13	approximate	approximate	ADJ
ejpam-4764	25	14	solutions	solution	NOUN
ejpam-4764	25	15	with	with	ADP
ejpam-4764	25	16	only	only	ADV
ejpam-4764	25	17	a	a	DET
ejpam-4764	25	18	few	few	ADJ
ejpam-4764	25	19	iterations	iteration	NOUN
ejpam-4764	25	20	and	and	CCONJ
ejpam-4764	25	21	a	a	DET
ejpam-4764	25	22	rapid	rapid	ADJ
ejpam-4764	25	23	convergence	convergence	NOUN
ejpam-4764	25	24	of	of	ADP
ejpam-4764	25	25	the	the	DET
ejpam-4764	25	26	solution	solution	NOUN
ejpam-4764	25	27	series	series	NOUN
ejpam-4764	25	28	in	in	ADP
ejpam-4764	25	29	many	many	ADJ
ejpam-4764	25	30	instances	instance	NOUN
ejpam-4764	25	31	.	.	PUNCT
ejpam-4764	26	1	this	this	DET
ejpam-4764	26	2	method	method	NOUN
ejpam-4764	26	3	has	have	AUX
ejpam-4764	26	4	proven	prove	VERB
ejpam-4764	26	5	to	to	PART
ejpam-4764	26	6	be	be	AUX
ejpam-4764	26	7	a	a	DET
ejpam-4764	26	8	valuable	valuable	ADJ
ejpam-4764	26	9	tool	tool	NOUN
ejpam-4764	26	10	in	in	ADP
ejpam-4764	26	11	solving	solve	VERB
ejpam-4764	26	12	a	a	DET
ejpam-4764	26	13	wide	wide	ADJ
ejpam-4764	26	14	range	range	NOUN
ejpam-4764	26	15	of	of	ADP
ejpam-4764	26	16	problems	problem	NOUN
ejpam-4764	26	17	,	,	PUNCT
ejpam-4764	26	18	particularly	particularly	ADV
ejpam-4764	26	19	in	in	ADP
ejpam-4764	26	20	the	the	DET
ejpam-4764	26	21	realm	realm	NOUN
ejpam-4764	26	22	of	of	ADP
ejpam-4764	26	23	integral	integral	ADJ
ejpam-4764	26	24	equations	equation	NOUN
ejpam-4764	26	25	[	[	X
ejpam-4764	26	26	20	20	NUM
ejpam-4764	26	27	]	]	PUNCT
ejpam-4764	26	28	.	.	PUNCT
ejpam-4764	27	1	the	the	DET
ejpam-4764	27	2	integral	integral	ADJ
ejpam-4764	27	3	equations	equation	NOUN
ejpam-4764	27	4	can	can	AUX
ejpam-4764	27	5	be	be	AUX
ejpam-4764	27	6	used	use	VERB
ejpam-4764	27	7	to	to	PART
ejpam-4764	27	8	describe	describe	VERB
ejpam-4764	27	9	a	a	DET
ejpam-4764	27	10	wide	wide	ADJ
ejpam-4764	27	11	variety	variety	NOUN
ejpam-4764	27	12	of	of	ADP
ejpam-4764	27	13	problems	problem	NOUN
ejpam-4764	27	14	in	in	ADP
ejpam-4764	27	15	science	science	NOUN
ejpam-4764	27	16	and	and	CCONJ
ejpam-4764	27	17	engineering	engineering	NOUN
ejpam-4764	27	18	[	[	X
ejpam-4764	27	19	3	3	NUM
ejpam-4764	27	20	]	]	PUNCT
ejpam-4764	27	21	.	.	PUNCT
ejpam-4764	28	1	the	the	DET
ejpam-4764	28	2	hpm	hpm	NOUN
ejpam-4764	28	3	is	be	AUX
ejpam-4764	28	4	a	a	DET
ejpam-4764	28	5	sophisticated	sophisticated	ADJ
ejpam-4764	28	6	and	and	CCONJ
ejpam-4764	28	7	effective	effective	ADJ
ejpam-4764	28	8	approach	approach	NOUN
ejpam-4764	28	9	for	for	ADP
ejpam-4764	28	10	solving	solve	VERB
ejpam-4764	28	11	system	system	NOUN
ejpam-4764	28	12	of	of	ADP
ejpam-4764	28	13	linear	linear	ADJ
ejpam-4764	28	14	and	and	CCONJ
ejpam-4764	28	15	nonlinear	nonlinear	ADJ
ejpam-4764	28	16	differential	differential	NOUN
ejpam-4764	28	17	and	and	CCONJ
ejpam-4764	28	18	integral	integral	ADJ
ejpam-4764	28	19	equations	equation	NOUN
ejpam-4764	28	20	[	[	X
ejpam-4764	28	21	2	2	NUM
ejpam-4764	28	22	]	]	PUNCT
ejpam-4764	28	23	.	.	PUNCT
ejpam-4764	29	1	a	a	DET
ejpam-4764	29	2	system	system	NOUN
ejpam-4764	29	3	of	of	ADP
ejpam-4764	29	4	linear	linear	ADJ
ejpam-4764	29	5	and	and	CCONJ
ejpam-4764	29	6	nonlinear	nonlinear	ADJ
ejpam-4764	29	7	differential	differential	ADJ
ejpam-4764	29	8	equations	equation	NOUN
ejpam-4764	29	9	may	may	AUX
ejpam-4764	29	10	also	also	ADV
ejpam-4764	29	11	be	be	AUX
ejpam-4764	29	12	solved	solve	VERB
ejpam-4764	29	13	using	use	VERB
ejpam-4764	29	14	this	this	DET
ejpam-4764	29	15	approach	approach	NOUN
ejpam-4764	29	16	due	due	ADP
ejpam-4764	29	17	to	to	ADP
ejpam-4764	29	18	the	the	DET
ejpam-4764	29	19	complexity	complexity	NOUN
ejpam-4764	29	20	of	of	ADP
ejpam-4764	29	21	finding	find	VERB
ejpam-4764	29	22	exact	exact	ADJ
ejpam-4764	29	23	solutions	solution	NOUN
ejpam-4764	29	24	for	for	ADP
ejpam-4764	29	25	nonlinear	nonlinear	ADJ
ejpam-4764	29	26	differential	differential	ADJ
ejpam-4764	29	27	equations	equation	NOUN
ejpam-4764	29	28	,	,	PUNCT
ejpam-4764	29	29	any	any	DET
ejpam-4764	29	30	perturbative	perturbative	ADJ
ejpam-4764	29	31	method	method	NOUN
ejpam-4764	29	32	that	that	PRON
ejpam-4764	29	33	meets	meet	VERB
ejpam-4764	29	34	certain	certain	ADJ
ejpam-4764	29	35	criteria	criterion	NOUN
ejpam-4764	29	36	is	be	AUX
ejpam-4764	29	37	deemed	deem	VERB
ejpam-4764	29	38	acceptable	acceptable	ADJ
ejpam-4764	29	39	.	.	PUNCT
ejpam-4764	30	1	the	the	DET
ejpam-4764	30	2	hpm	hpm	NOUN
ejpam-4764	30	3	offers	offer	VERB
ejpam-4764	30	4	an	an	DET
ejpam-4764	30	5	analytical	analytical	ADJ
ejpam-4764	30	6	solution	solution	NOUN
ejpam-4764	30	7	by	by	ADP
ejpam-4764	30	8	utilizing	utilize	VERB
ejpam-4764	30	9	the	the	DET
ejpam-4764	30	10	initial	initial	ADJ
ejpam-4764	30	11	conditions	condition	NOUN
ejpam-4764	30	12	and	and	CCONJ
ejpam-4764	30	13	is	be	AUX
ejpam-4764	30	14	noteworthy	noteworthy	ADJ
ejpam-4764	30	15	for	for	ADP
ejpam-4764	30	16	its	its	PRON
ejpam-4764	30	17	ability	ability	NOUN
ejpam-4764	30	18	to	to	PART
ejpam-4764	30	19	produce	produce	VERB
ejpam-4764	30	20	highly	highly	ADV
ejpam-4764	30	21	accurate	accurate	ADJ
ejpam-4764	30	22	approximate	approximate	ADJ
ejpam-4764	30	23	solutions	solution	NOUN
ejpam-4764	30	24	with	with	ADP
ejpam-4764	30	25	only	only	ADV
ejpam-4764	30	26	a	a	DET
ejpam-4764	30	27	small	small	ADJ
ejpam-4764	30	28	number	number	NOUN
ejpam-4764	30	29	of	of	ADP
ejpam-4764	30	30	terms	term	NOUN
ejpam-4764	30	31	required	require	VERB
ejpam-4764	30	32	[	[	X
ejpam-4764	30	33	4	4	NUM
ejpam-4764	30	34	]	]	PUNCT
ejpam-4764	30	35	.	.	PUNCT
ejpam-4764	31	1	in	in	ADP
ejpam-4764	31	2	most	most	ADJ
ejpam-4764	31	3	cases	case	NOUN
ejpam-4764	31	4	,	,	PUNCT
ejpam-4764	31	5	only	only	ADV
ejpam-4764	31	6	approximate	approximate	ADJ
ejpam-4764	31	7	solutions	solution	NOUN
ejpam-4764	31	8	,	,	PUNCT
ejpam-4764	31	9	either	either	CCONJ
ejpam-4764	31	10	numerical	numerical	ADJ
ejpam-4764	31	11	or	or	CCONJ
ejpam-4764	31	12	analytical	analytical	ADJ
ejpam-4764	31	13	,	,	PUNCT
ejpam-4764	31	14	can	can	AUX
ejpam-4764	31	15	be	be	AUX
ejpam-4764	31	16	obtained	obtain	VERB
ejpam-4764	31	17	for	for	ADP
ejpam-4764	31	18	nonlinear	nonlinear	ADJ
ejpam-4764	31	19	problems	problem	NOUN
ejpam-4764	31	20	.	.	PUNCT
ejpam-4764	32	1	the	the	DET
ejpam-4764	32	2	numerous	numerous	ADJ
ejpam-4764	32	3	branches	branch	NOUN
ejpam-4764	32	4	of	of	ADP
ejpam-4764	32	5	science	science	NOUN
ejpam-4764	32	6	have	have	VERB
ejpam-4764	32	7	a	a	DET
ejpam-4764	32	8	vast	vast	ADJ
ejpam-4764	32	9	array	array	NOUN
ejpam-4764	32	10	of	of	ADP
ejpam-4764	32	11	nonlinear	nonlinear	ADJ
ejpam-4764	32	12	problems	problem	NOUN
ejpam-4764	32	13	for	for	ADP
ejpam-4764	32	14	which	which	PRON
ejpam-4764	32	15	exact	exact	ADJ
ejpam-4764	32	16	solutions	solution	NOUN
ejpam-4764	32	17	can	can	AUX
ejpam-4764	32	18	not	not	PART
ejpam-4764	32	19	be	be	AUX
ejpam-4764	32	20	found	find	VERB
ejpam-4764	32	21	.	.	PUNCT
ejpam-4764	33	1	as	as	ADP
ejpam-4764	33	2	a	a	DET
ejpam-4764	33	3	result	result	NOUN
ejpam-4764	33	4	,	,	PUNCT
ejpam-4764	33	5	numerous	numerous	ADJ
ejpam-4764	33	6	analytical	analytical	ADJ
ejpam-4764	33	7	and	and	CCONJ
ejpam-4764	33	8	numerical	numerical	ADJ
ejpam-4764	33	9	approximations	approximation	NOUN
ejpam-4764	33	10	have	have	AUX
ejpam-4764	33	11	been	be	AUX
ejpam-4764	33	12	studied	study	VERB
ejpam-4764	33	13	and	and	CCONJ
ejpam-4764	33	14	developed	develop	VERB
ejpam-4764	33	15	to	to	PART
ejpam-4764	33	16	tackle	tackle	VERB
ejpam-4764	33	17	these	these	DET
ejpam-4764	33	18	complex	complex	ADJ
ejpam-4764	33	19	equations	equation	NOUN
ejpam-4764	33	20	.	.	PUNCT
ejpam-4764	34	1	thus	thus	ADV
ejpam-4764	34	2	,	,	PUNCT
ejpam-4764	34	3	alternative	alternative	ADJ
ejpam-4764	34	4	methods	method	NOUN
ejpam-4764	34	5	become	become	VERB
ejpam-4764	34	6	crucial	crucial	ADJ
ejpam-4764	34	7	for	for	ADP
ejpam-4764	34	8	solving	solve	VERB
ejpam-4764	34	9	these	these	DET
ejpam-4764	34	10	nonlinear	nonlinear	ADJ
ejpam-4764	34	11	equations	equation	NOUN
ejpam-4764	34	12	effectively	effectively	ADV
ejpam-4764	34	13	[	[	X
ejpam-4764	34	14	14	14	NUM
ejpam-4764	34	15	]	]	PUNCT
ejpam-4764	34	16	.	.	PUNCT
ejpam-4764	35	1	the	the	DET
ejpam-4764	35	2	concept	concept	NOUN
ejpam-4764	35	3	of	of	ADP
ejpam-4764	35	4	fuzziness	fuzziness	NOUN
ejpam-4764	35	5	has	have	AUX
ejpam-4764	35	6	experienced	experience	VERB
ejpam-4764	35	7	a	a	DET
ejpam-4764	35	8	surge	surge	NOUN
ejpam-4764	35	9	in	in	ADP
ejpam-4764	35	10	popularity	popularity	NOUN
ejpam-4764	35	11	and	and	CCONJ
ejpam-4764	35	12	application	application	NOUN
ejpam-4764	35	13	across	across	ADP
ejpam-4764	35	14	various	various	ADJ
ejpam-4764	35	15	fields	field	NOUN
ejpam-4764	35	16	since	since	SCONJ
ejpam-4764	35	17	its	its	PRON
ejpam-4764	35	18	inception	inception	NOUN
ejpam-4764	35	19	,	,	PUNCT
ejpam-4764	35	20	including	include	VERB
ejpam-4764	35	21	learning	learn	VERB
ejpam-4764	35	22	theory	theory	NOUN
ejpam-4764	35	23	,	,	PUNCT
ejpam-4764	35	24	automata	automata	NOUN
ejpam-4764	35	25	,	,	PUNCT
ejpam-4764	35	26	decision	decision	NOUN
ejpam-4764	35	27	-	-	PUNCT
ejpam-4764	35	28	making	make	VERB
ejpam-4764	35	29	processes	process	NOUN
ejpam-4764	35	30	,	,	PUNCT
ejpam-4764	35	31	algorithms	algorithm	NOUN
ejpam-4764	35	32	,	,	PUNCT
ejpam-4764	35	33	pattern	pattern	NOUN
ejpam-4764	35	34	classification	classification	NOUN
ejpam-4764	35	35	,	,	PUNCT
ejpam-4764	35	36	and	and	CCONJ
ejpam-4764	35	37	linguistics	linguistic	NOUN
ejpam-4764	35	38	.	.	PUNCT
ejpam-4764	36	1	the	the	DET
ejpam-4764	36	2	idea	idea	NOUN
ejpam-4764	36	3	behind	behind	ADP
ejpam-4764	36	4	fuzzy	fuzzy	ADJ
ejpam-4764	36	5	concepts	concept	NOUN
ejpam-4764	36	6	involves	involve	VERB
ejpam-4764	36	7	converting	convert	VERB
ejpam-4764	36	8	differential	differential	ADJ
ejpam-4764	36	9	equations	equation	NOUN
ejpam-4764	36	10	into	into	ADP
ejpam-4764	36	11	differential	differential	ADJ
ejpam-4764	36	12	inclusions	inclusion	NOUN
ejpam-4764	36	13	and	and	CCONJ
ejpam-4764	36	14	accepting	accept	VERB
ejpam-4764	36	15	the	the	DET
ejpam-4764	36	16	solution	solution	NOUN
ejpam-4764	36	17	as	as	ADP
ejpam-4764	36	18	the	the	DET
ejpam-4764	36	19	α−cut	α−cut	NOUN
ejpam-4764	36	20	of	of	ADP
ejpam-4764	36	21	the	the	DET
ejpam-4764	36	22	fuzzy	fuzzy	ADJ
ejpam-4764	36	23	solution	solution	NOUN
ejpam-4764	36	24	,	,	PUNCT
ejpam-4764	36	25	leading	lead	VERB
ejpam-4764	36	26	to	to	ADP
ejpam-4764	36	27	the	the	DET
ejpam-4764	36	28	transformation	transformation	NOUN
ejpam-4764	36	29	of	of	ADP
ejpam-4764	36	30	the	the	DET
ejpam-4764	36	31	fuzzy	fuzzy	ADJ
ejpam-4764	36	32	differential	differential	NOUN
ejpam-4764	36	33	equation	equation	NOUN
ejpam-4764	36	34	(	(	PUNCT
ejpam-4764	36	35	fde	fde	NOUN
ejpam-4764	36	36	)	)	PUNCT
ejpam-4764	36	37	into	into	ADP
ejpam-4764	36	38	a	a	DET
ejpam-4764	36	39	equivalent	equivalent	ADJ
ejpam-4764	36	40	fuzzy	fuzzy	ADJ
ejpam-4764	36	41	integral	integral	ADJ
ejpam-4764	36	42	equation	equation	NOUN
ejpam-4764	36	43	[	[	X
ejpam-4764	36	44	6	6	NUM
ejpam-4764	36	45	]	]	PUNCT
ejpam-4764	36	46	.	.	PUNCT
ejpam-4764	37	1	in	in	ADP
ejpam-4764	37	2	the	the	DET
ejpam-4764	37	3	last	last	ADJ
ejpam-4764	37	4	years	year	NOUN
ejpam-4764	37	5	,	,	PUNCT
ejpam-4764	37	6	the	the	DET
ejpam-4764	37	7	researchers	researcher	NOUN
ejpam-4764	37	8	visuvasam	visuvasam	VERB
ejpam-4764	37	9	et	et	PROPN
ejpam-4764	37	10	al	al	PROPN
ejpam-4764	37	11	.	.	PUNCT
ejpam-4764	38	1	[	[	X
ejpam-4764	38	2	23	23	NUM
ejpam-4764	38	3	]	]	PUNCT
ejpam-4764	38	4	,	,	PUNCT
ejpam-4764	38	5	shanthi	shanthi	PROPN
ejpam-4764	38	6	et	et	PROPN
ejpam-4764	38	7	al	al	PROPN
ejpam-4764	38	8	.	.	PUNCT
ejpam-4764	39	1	[	[	X
ejpam-4764	39	2	19	19	NUM
ejpam-4764	39	3	]	]	PUNCT
ejpam-4764	39	4	,	,	PUNCT
ejpam-4764	39	5	vijayalakshmi	vijayalakshmi	NOUN
ejpam-4764	39	6	et	et	NOUN
ejpam-4764	39	7	al	al	PROPN
ejpam-4764	39	8	.	.	PUNCT
ejpam-4764	40	1	[	[	X
ejpam-4764	40	2	21	21	NUM
ejpam-4764	40	3	]	]	PUNCT
ejpam-4764	40	4	and	and	CCONJ
ejpam-4764	40	5	vijayalakshmi	vijayalakshmi	NOUN
ejpam-4764	40	6	et	et	PROPN
ejpam-4764	40	7	al	al	PROPN
ejpam-4764	40	8	.	.	PUNCT
ejpam-4764	41	1	[	[	X
ejpam-4764	41	2	22	22	NUM
ejpam-4764	41	3	]	]	PUNCT
ejpam-4764	41	4	have	have	AUX
ejpam-4764	41	5	applied	apply	VERB
ejpam-4764	41	6	hpm	hpm	NOUN
ejpam-4764	41	7	to	to	PART
ejpam-4764	41	8	solve	solve	VERB
ejpam-4764	41	9	the	the	DET
ejpam-4764	41	10	mathematical	mathematical	ADJ
ejpam-4764	41	11	models	model	NOUN
ejpam-4764	41	12	as	as	ADP
ejpam-4764	41	13	(	(	PUNCT
ejpam-4764	41	14	porous	porous	ADJ
ejpam-4764	41	15	rotating	rotating	NOUN
ejpam-4764	41	16	disk	disk	NOUN
ejpam-4764	41	17	electrodes	electrode	NOUN
ejpam-4764	41	18	,	,	PUNCT
ejpam-4764	41	19	ece	ece	PROPN
ejpam-4764	41	20	reactions	reaction	NOUN
ejpam-4764	41	21	at	at	ADP
ejpam-4764	41	22	rotating	rotate	VERB
ejpam-4764	41	23	disk	disk	NOUN
ejpam-4764	41	24	electrodes	electrode	NOUN
ejpam-4764	41	25	,	,	PUNCT
ejpam-4764	41	26	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-4764	41	27	,	,	PUNCT
ejpam-4764	41	28	etc	etc	X
ejpam-4764	41	29	.	.	X
ejpam-4764	41	30	)	)	PUNCT
ejpam-4764	41	31	.	.	PUNCT
ejpam-4764	42	1	the	the	DET
ejpam-4764	42	2	main	main	ADJ
ejpam-4764	42	3	objective	objective	NOUN
ejpam-4764	42	4	of	of	ADP
ejpam-4764	42	5	the	the	DET
ejpam-4764	42	6	fuzzy	fuzzy	ADJ
ejpam-4764	42	7	hpm	hpm	NOUN
ejpam-4764	42	8	with	with	ADP
ejpam-4764	42	9	green	green	PROPN
ejpam-4764	42	10	’s	’s	PART
ejpam-4764	42	11	function	function	NOUN
ejpam-4764	42	12	,	,	PUNCT
ejpam-4764	42	13	is	be	AUX
ejpam-4764	42	14	to	to	PART
ejpam-4764	42	15	develop	develop	VERB
ejpam-4764	42	16	a	a	DET
ejpam-4764	42	17	more	more	ADV
ejpam-4764	42	18	effective	effective	ADJ
ejpam-4764	42	19	and	and	CCONJ
ejpam-4764	42	20	efficient	efficient	ADJ
ejpam-4764	42	21	method	method	NOUN
ejpam-4764	42	22	for	for	ADP
ejpam-4764	42	23	solving	solve	VERB
ejpam-4764	42	24	linear	linear	ADJ
ejpam-4764	42	25	and	and	CCONJ
ejpam-4764	42	26	non	non	ADJ
ejpam-4764	42	27	-	-	ADJ
ejpam-4764	42	28	linear	linear	ADJ
ejpam-4764	42	29	fuzzy	fuzzy	ADJ
ejpam-4764	42	30	system	system	NOUN
ejpam-4764	42	31	of	of	ADP
ejpam-4764	42	32	boundary	boundary	ADJ
ejpam-4764	42	33	value	value	NOUN
ejpam-4764	42	34	problems	problem	NOUN
ejpam-4764	42	35	(	(	PUNCT
ejpam-4764	42	36	fsbvps)	fsbvps)	NOUN
ejpam-4764	42	37	2∑	2∑	NUM
ejpam-4764	42	38	i=0	i=0	PROPN
ejpam-4764	42	39	ai	ai	INTJ
ejpam-4764	42	40	(	(	PUNCT
ejpam-4764	42	41	x	x	NOUN
ejpam-4764	42	42	)	)	PUNCT
ejpam-4764	42	43	ỹ	ỹ	PROPN
ejpam-4764	42	44	(	(	PUNCT
ejpam-4764	42	45	i	i	NOUN
ejpam-4764	42	46	)	)	PUNCT
ejpam-4764	42	47	1	1	NUM
ejpam-4764	42	48	(	(	PUNCT
ejpam-4764	42	49	x	x	NOUN
ejpam-4764	42	50	,	,	PUNCT
ejpam-4764	42	51	α	α	NOUN
ejpam-4764	42	52	)	)	PUNCT
ejpam-4764	43	1	+	+	CCONJ
ejpam-4764	43	2	1∑	1∑	NUM
ejpam-4764	43	3	i=0	i=0	PROPN
ejpam-4764	43	4	bi	bi	NOUN
ejpam-4764	43	5	(	(	PUNCT
ejpam-4764	43	6	x	x	NOUN
ejpam-4764	43	7	)	)	PUNCT
ejpam-4764	43	8	ỹ	ỹ	PROPN
ejpam-4764	43	9	(	(	PUNCT
ejpam-4764	43	10	i	i	NOUN
ejpam-4764	43	11	)	)	PUNCT
ejpam-4764	43	12	2	2	NUM
ejpam-4764	43	13	(	(	PUNCT
ejpam-4764	43	14	x	x	NOUN
ejpam-4764	43	15	,	,	PUNCT
ejpam-4764	43	16	α	α	NOUN
ejpam-4764	43	17	)	)	PUNCT
ejpam-4764	43	18	+	+	NOUN
ejpam-4764	43	19	n1	n1	NOUN
ejpam-4764	43	20	[	[	X
ejpam-4764	43	21	ỹ1	ỹ1	X
ejpam-4764	43	22	(	(	PUNCT
ejpam-4764	43	23	x	x	X
ejpam-4764	43	24	,	,	PUNCT
ejpam-4764	43	25	α	α	NOUN
ejpam-4764	43	26	)	)	PUNCT
ejpam-4764	43	27	,	,	PUNCT
ejpam-4764	43	28	ỹ2	ỹ2	PROPN
ejpam-4764	43	29	(	(	PUNCT
ejpam-4764	43	30	x	x	NOUN
ejpam-4764	43	31	,	,	PUNCT
ejpam-4764	43	32	α	α	NOUN
ejpam-4764	43	33	)	)	PUNCT
ejpam-4764	43	34	]	]	PUNCT
ejpam-4764	44	1	=	=	SYM
ejpam-4764	44	2	f̃1	f̃1	PROPN
ejpam-4764	44	3	(	(	PUNCT
ejpam-4764	44	4	x	x	X
ejpam-4764	44	5	,	,	PUNCT
ejpam-4764	44	6	α	α	NOUN
ejpam-4764	44	7	)	)	PUNCT
ejpam-4764	44	8	,	,	PUNCT
ejpam-4764	44	9	2∑	2∑	X
ejpam-4764	44	10	i=0	i=0	PROPN
ejpam-4764	44	11	ci	ci	PROPN
ejpam-4764	44	12	(	(	PUNCT
ejpam-4764	44	13	x	x	NOUN
ejpam-4764	44	14	)	)	PUNCT
ejpam-4764	44	15	ỹ	ỹ	PROPN
ejpam-4764	44	16	(	(	PUNCT
ejpam-4764	44	17	i	i	NOUN
ejpam-4764	44	18	)	)	PUNCT
ejpam-4764	44	19	2	2	NUM
ejpam-4764	44	20	(	(	PUNCT
ejpam-4764	44	21	x	x	NOUN
ejpam-4764	44	22	,	,	PUNCT
ejpam-4764	44	23	α	α	NOUN
ejpam-4764	44	24	)	)	PUNCT
ejpam-4764	44	25	+	+	CCONJ
ejpam-4764	44	26	1∑	1∑	PROPN
ejpam-4764	44	27	i=0	i=0	PROPN
ejpam-4764	44	28	di	di	X
ejpam-4764	44	29	(	(	PUNCT
ejpam-4764	44	30	x	x	NOUN
ejpam-4764	44	31	)	)	PUNCT
ejpam-4764	44	32	ỹ	ỹ	PROPN
ejpam-4764	44	33	(	(	PUNCT
ejpam-4764	44	34	i	i	NOUN
ejpam-4764	44	35	)	)	PUNCT
ejpam-4764	44	36	1	1	NUM
ejpam-4764	44	37	(	(	PUNCT
ejpam-4764	44	38	x	x	NOUN
ejpam-4764	44	39	,	,	PUNCT
ejpam-4764	44	40	α	α	NOUN
ejpam-4764	44	41	)	)	PUNCT
ejpam-4764	44	42	+	+	NOUN
ejpam-4764	44	43	n2	n2	NOUN
ejpam-4764	44	44	[	[	X
ejpam-4764	44	45	ỹ1	ỹ1	PROPN
ejpam-4764	44	46	(	(	PUNCT
ejpam-4764	44	47	x	x	X
ejpam-4764	44	48	,	,	PUNCT
ejpam-4764	44	49	α	α	NOUN
ejpam-4764	44	50	)	)	PUNCT
ejpam-4764	44	51	,	,	PUNCT
ejpam-4764	44	52	ỹ2	ỹ2	PROPN
ejpam-4764	44	53	(	(	PUNCT
ejpam-4764	44	54	x	x	NOUN
ejpam-4764	44	55	,	,	PUNCT
ejpam-4764	44	56	α	α	NOUN
ejpam-4764	44	57	)	)	PUNCT
ejpam-4764	44	58	]	]	PUNCT
ejpam-4764	45	1	=	=	PUNCT
ejpam-4764	45	2	f̃2	f̃2	X
ejpam-4764	45	3	(	(	PUNCT
ejpam-4764	45	4	x	x	NOUN
ejpam-4764	45	5	,	,	PUNCT
ejpam-4764	45	6	α	α	NOUN
ejpam-4764	45	7	)	)	PUNCT
ejpam-4764	45	8	,	,	PUNCT
ejpam-4764	45	9	x	x	PUNCT
ejpam-4764	45	10	∈	∈	PROPN
ejpam-4764	46	1	[	[	X
ejpam-4764	46	2	0	0	NUM
ejpam-4764	46	3	,	,	PUNCT
ejpam-4764	46	4	1	1	NUM
ejpam-4764	46	5	]	]	PUNCT
ejpam-4764	46	6	(	(	PUNCT
ejpam-4764	46	7	1	1	X
ejpam-4764	46	8	)	)	PUNCT
ejpam-4764	46	9	w.	w.	PROPN
ejpam-4764	46	10	al	al	PROPN
ejpam-4764	46	11	-	-	PUNCT
ejpam-4764	46	12	hayani	hayani	PROPN
ejpam-4764	46	13	,	,	PUNCT
ejpam-4764	46	14	m	m	VERB
ejpam-4764	46	15	t.	t.	NOUN
ejpam-4764	46	16	younis	younis	PROPN
ejpam-4764	46	17	/	/	SYM
ejpam-4764	46	18	eur	eur	PROPN
ejpam-4764	46	19	.	.	PUNCT
ejpam-4764	47	1	j.	j.	PROPN
ejpam-4764	47	2	pure	pure	PROPN
ejpam-4764	47	3	appl	appl	PROPN
ejpam-4764	47	4	.	.	PROPN
ejpam-4764	47	5	math	math	PROPN
ejpam-4764	47	6	,	,	PUNCT
ejpam-4764	47	7	16	16	NUM
ejpam-4764	47	8	(	(	PUNCT
ejpam-4764	47	9	2	2	NUM
ejpam-4764	47	10	)	)	PUNCT
ejpam-4764	47	11	(	(	PUNCT
ejpam-4764	47	12	2023	2023	NUM
ejpam-4764	47	13	)	)	PUNCT
ejpam-4764	47	14	,	,	PUNCT
ejpam-4764	47	15	1236	1236	NUM
ejpam-4764	47	16	-	-	SYM
ejpam-4764	47	17	1259	1259	NUM
ejpam-4764	47	18	1238	1238	NUM
ejpam-4764	47	19	with	with	ADP
ejpam-4764	47	20	the	the	DET
ejpam-4764	47	21	boundary	boundary	ADJ
ejpam-4764	47	22	conditions	condition	NOUN
ejpam-4764	47	23	ỹ1	ỹ1	NOUN
ejpam-4764	47	24	(	(	PUNCT
ejpam-4764	47	25	0	0	NUM
ejpam-4764	47	26	,	,	PUNCT
ejpam-4764	47	27	α	α	NOUN
ejpam-4764	47	28	)	)	PUNCT
ejpam-4764	47	29	=	=	SYM
ejpam-4764	47	30	ỹ1	ỹ1	NOUN
ejpam-4764	47	31	(	(	PUNCT
ejpam-4764	47	32	1	1	NUM
ejpam-4764	47	33	,	,	PUNCT
ejpam-4764	47	34	α	α	NOUN
ejpam-4764	47	35	)	)	PUNCT
ejpam-4764	47	36	=	=	SYM
ejpam-4764	47	37	(	(	PUNCT
ejpam-4764	47	38	0	0	NUM
ejpam-4764	47	39	,	,	PUNCT
ejpam-4764	47	40	0	0	NUM
ejpam-4764	47	41	)	)	PUNCT
ejpam-4764	47	42	,	,	PUNCT
ejpam-4764	48	1	ỹ2	ỹ2	PROPN
ejpam-4764	48	2	(	(	PUNCT
ejpam-4764	48	3	0	0	NUM
ejpam-4764	48	4	,	,	PUNCT
ejpam-4764	48	5	α	α	NOUN
ejpam-4764	48	6	)	)	PUNCT
ejpam-4764	48	7	=	=	SYM
ejpam-4764	48	8	ỹ2	ỹ2	PROPN
ejpam-4764	48	9	(	(	PUNCT
ejpam-4764	48	10	1	1	NUM
ejpam-4764	48	11	,	,	PUNCT
ejpam-4764	48	12	α	α	NOUN
ejpam-4764	48	13	)	)	PUNCT
ejpam-4764	48	14	=	=	SYM
ejpam-4764	48	15	(	(	PUNCT
ejpam-4764	48	16	0	0	NUM
ejpam-4764	48	17	,	,	PUNCT
ejpam-4764	48	18	0	0	NUM
ejpam-4764	48	19	)	)	PUNCT
ejpam-4764	48	20	,	,	PUNCT
ejpam-4764	48	21	(	(	PUNCT
ejpam-4764	48	22	2	2	X
ejpam-4764	48	23	)	)	PUNCT
ejpam-4764	48	24	where	where	SCONJ
ejpam-4764	48	25	ỹ1	ỹ1	PROPN
ejpam-4764	48	26	(	(	PUNCT
ejpam-4764	48	27	x	x	NOUN
ejpam-4764	48	28	,	,	PUNCT
ejpam-4764	48	29	α	α	NOUN
ejpam-4764	48	30	)	)	PUNCT
ejpam-4764	48	31	,	,	PUNCT
ejpam-4764	48	32	ỹ2	ỹ2	PROPN
ejpam-4764	48	33	(	(	PUNCT
ejpam-4764	48	34	x	x	NOUN
ejpam-4764	48	35	,	,	PUNCT
ejpam-4764	48	36	α	α	NOUN
ejpam-4764	48	37	)	)	PUNCT
ejpam-4764	48	38	,	,	PUNCT
ejpam-4764	48	39	f̃1	f̃1	PROPN
ejpam-4764	48	40	(	(	PUNCT
ejpam-4764	48	41	x	x	X
ejpam-4764	48	42	,	,	PUNCT
ejpam-4764	48	43	α	α	NOUN
ejpam-4764	48	44	)	)	PUNCT
ejpam-4764	48	45	,	,	PUNCT
ejpam-4764	48	46	f̃2	f̃2	X
ejpam-4764	48	47	(	(	PUNCT
ejpam-4764	48	48	x	x	NOUN
ejpam-4764	48	49	,	,	PUNCT
ejpam-4764	48	50	α	α	NOUN
ejpam-4764	48	51	)	)	PUNCT
ejpam-4764	48	52	and	and	CCONJ
ejpam-4764	48	53	ai	ai	INTJ
ejpam-4764	48	54	(	(	PUNCT
ejpam-4764	48	55	x	x	NOUN
ejpam-4764	48	56	)	)	PUNCT
ejpam-4764	48	57	,	,	PUNCT
ejpam-4764	48	58	bi	bi	NOUN
ejpam-4764	48	59	(	(	PUNCT
ejpam-4764	48	60	x	x	NOUN
ejpam-4764	48	61	)	)	PUNCT
ejpam-4764	48	62	,	,	PUNCT
ejpam-4764	48	63	ci	ci	PROPN
ejpam-4764	48	64	(	(	PUNCT
ejpam-4764	48	65	x	x	NOUN
ejpam-4764	48	66	)	)	PUNCT
ejpam-4764	48	67	,	,	PUNCT
ejpam-4764	48	68	di	di	X
ejpam-4764	48	69	(	(	PUNCT
ejpam-4764	48	70	x	x	NOUN
ejpam-4764	48	71	)	)	PUNCT
ejpam-4764	48	72	for	for	ADP
ejpam-4764	48	73	i	i	PROPN
ejpam-4764	48	74	=	=	SYM
ejpam-4764	48	75	0	0	NUM
ejpam-4764	48	76	,	,	PUNCT
ejpam-4764	48	77	1	1	NUM
ejpam-4764	48	78	,	,	PUNCT
ejpam-4764	48	79	2	2	NUM
ejpam-4764	48	80	are	be	AUX
ejpam-4764	48	81	analytic	analytic	ADJ
ejpam-4764	48	82	functions	function	NOUN
ejpam-4764	48	83	,	,	PUNCT
ejpam-4764	48	84	and	and	CCONJ
ejpam-4764	48	85	we	we	PRON
ejpam-4764	48	86	are	be	AUX
ejpam-4764	48	87	seeking	seek	VERB
ejpam-4764	48	88	the	the	DET
ejpam-4764	48	89	solutions	solution	NOUN
ejpam-4764	48	90	ỹ1	ỹ1	PROPN
ejpam-4764	48	91	(	(	PUNCT
ejpam-4764	48	92	x	x	NOUN
ejpam-4764	48	93	,	,	PUNCT
ejpam-4764	48	94	α	α	NOUN
ejpam-4764	48	95	)	)	PUNCT
ejpam-4764	48	96	,	,	PUNCT
ejpam-4764	49	1	ỹ2	ỹ2	PROPN
ejpam-4764	49	2	(	(	PUNCT
ejpam-4764	49	3	x	x	NOUN
ejpam-4764	49	4	,	,	PUNCT
ejpam-4764	49	5	α	α	NOUN
ejpam-4764	49	6	)	)	PUNCT
ejpam-4764	49	7	satisfying	satisfy	VERB
ejpam-4764	49	8	equation	equation	NOUN
ejpam-4764	49	9	1	1	X
ejpam-4764	49	10	.	.	PUNCT
ejpam-4764	50	1	we	we	PRON
ejpam-4764	50	2	assume	assume	VERB
ejpam-4764	50	3	that	that	SCONJ
ejpam-4764	50	4	for	for	ADP
ejpam-4764	50	5	every	every	DET
ejpam-4764	50	6	f̃1	f̃1	PROPN
ejpam-4764	50	7	(	(	PUNCT
ejpam-4764	50	8	x	x	X
ejpam-4764	50	9	,	,	PUNCT
ejpam-4764	50	10	α	α	NOUN
ejpam-4764	50	11	)	)	PUNCT
ejpam-4764	50	12	,	,	PUNCT
ejpam-4764	50	13	f̃2	f̃2	X
ejpam-4764	50	14	(	(	PUNCT
ejpam-4764	50	15	x	x	NOUN
ejpam-4764	50	16	,	,	PUNCT
ejpam-4764	50	17	α	α	NOUN
ejpam-4764	50	18	)	)	PUNCT
ejpam-4764	50	19	equation	equation	NOUN
ejpam-4764	50	20	1	1	NUM
ejpam-4764	50	21	has	have	VERB
ejpam-4764	50	22	one	one	NUM
ejpam-4764	50	23	and	and	CCONJ
ejpam-4764	50	24	only	only	ADV
ejpam-4764	50	25	one	one	NUM
ejpam-4764	50	26	solution	solution	NOUN
ejpam-4764	50	27	.	.	PUNCT
ejpam-4764	51	1	by	by	ADP
ejpam-4764	51	2	combining	combine	VERB
ejpam-4764	51	3	the	the	DET
ejpam-4764	51	4	advantages	advantage	NOUN
ejpam-4764	51	5	of	of	ADP
ejpam-4764	51	6	the	the	DET
ejpam-4764	51	7	hpm	hpm	NOUN
ejpam-4764	51	8	and	and	CCONJ
ejpam-4764	51	9	green	green	PROPN
ejpam-4764	51	10	’s	’s	PART
ejpam-4764	51	11	function	function	NOUN
ejpam-4764	51	12	,	,	PUNCT
ejpam-4764	51	13	this	this	DET
ejpam-4764	51	14	study	study	NOUN
ejpam-4764	51	15	aims	aim	VERB
ejpam-4764	51	16	to	to	PART
ejpam-4764	51	17	provide	provide	VERB
ejpam-4764	51	18	a	a	DET
ejpam-4764	51	19	new	new	ADJ
ejpam-4764	51	20	approach	approach	NOUN
ejpam-4764	51	21	that	that	PRON
ejpam-4764	51	22	leverages	leverage	VERB
ejpam-4764	51	23	the	the	DET
ejpam-4764	51	24	strengths	strength	NOUN
ejpam-4764	51	25	of	of	ADP
ejpam-4764	51	26	both	both	DET
ejpam-4764	51	27	methods	method	NOUN
ejpam-4764	51	28	to	to	PART
ejpam-4764	51	29	obtain	obtain	VERB
ejpam-4764	51	30	accurate	accurate	ADJ
ejpam-4764	51	31	approximate	approximate	ADJ
ejpam-4764	51	32	solutions	solution	NOUN
ejpam-4764	51	33	for	for	ADP
ejpam-4764	51	34	fuzzy	fuzzy	ADJ
ejpam-4764	51	35	odes	ode	NOUN
ejpam-4764	51	36	.	.	PUNCT
ejpam-4764	52	1	this	this	DET
ejpam-4764	52	2	research	research	NOUN
ejpam-4764	52	3	can	can	AUX
ejpam-4764	52	4	help	help	VERB
ejpam-4764	52	5	to	to	PART
ejpam-4764	52	6	deepen	deepen	VERB
ejpam-4764	52	7	our	our	PRON
ejpam-4764	52	8	understanding	understanding	NOUN
ejpam-4764	52	9	of	of	ADP
ejpam-4764	52	10	fuzzy	fuzzy	ADJ
ejpam-4764	52	11	system	system	NOUN
ejpam-4764	52	12	of	of	ADP
ejpam-4764	52	13	odes	ode	NOUN
ejpam-4764	52	14	and	and	CCONJ
ejpam-4764	52	15	provide	provide	VERB
ejpam-4764	52	16	valuable	valuable	ADJ
ejpam-4764	52	17	insights	insight	NOUN
ejpam-4764	52	18	into	into	ADP
ejpam-4764	52	19	the	the	DET
ejpam-4764	52	20	development	development	NOUN
ejpam-4764	52	21	of	of	ADP
ejpam-4764	52	22	new	new	ADJ
ejpam-4764	52	23	techniques	technique	NOUN
ejpam-4764	52	24	for	for	ADP
ejpam-4764	52	25	solving	solve	VERB
ejpam-4764	52	26	these	these	DET
ejpam-4764	52	27	complex	complex	ADJ
ejpam-4764	52	28	problems	problem	NOUN
ejpam-4764	52	29	.	.	PUNCT
ejpam-4764	53	1	2	2	X
ejpam-4764	53	2	.	.	X
ejpam-4764	53	3	the	the	DET
ejpam-4764	53	4	fundamental	fundamental	ADJ
ejpam-4764	53	5	concept	concept	NOUN
ejpam-4764	53	6	of	of	ADP
ejpam-4764	53	7	hpm	hpm	NOUN
ejpam-4764	53	8	now	now	ADV
ejpam-4764	53	9	,	,	PUNCT
ejpam-4764	53	10	we	we	PRON
ejpam-4764	53	11	demonstrate	demonstrate	VERB
ejpam-4764	53	12	the	the	DET
ejpam-4764	53	13	fundamental	fundamental	ADJ
ejpam-4764	53	14	concept	concept	NOUN
ejpam-4764	53	15	of	of	ADP
ejpam-4764	53	16	the	the	DET
ejpam-4764	53	17	hpm	hpm	NOUN
ejpam-4764	53	18	[	[	X
ejpam-4764	53	19	8	8	NUM
ejpam-4764	53	20	,	,	PUNCT
ejpam-4764	53	21	13	13	NUM
ejpam-4764	53	22	,	,	PUNCT
ejpam-4764	53	23	14	14	NUM
ejpam-4764	53	24	]	]	PUNCT
ejpam-4764	53	25	,	,	PUNCT
ejpam-4764	53	26	we	we	PRON
ejpam-4764	53	27	assume	assume	VERB
ejpam-4764	53	28	the	the	DET
ejpam-4764	53	29	following	follow	VERB
ejpam-4764	53	30	non	non	ADJ
ejpam-4764	53	31	-	-	ADJ
ejpam-4764	53	32	linear	linear	ADJ
ejpam-4764	53	33	differential	differential	NOUN
ejpam-4764	53	34	equation	equation	NOUN
ejpam-4764	53	35	.	.	PUNCT
ejpam-4764	54	1	d	d	X
ejpam-4764	54	2	(	(	PUNCT
ejpam-4764	54	3	y)−	y)−	PROPN
ejpam-4764	54	4	g	g	NOUN
ejpam-4764	54	5	(	(	PUNCT
ejpam-4764	54	6	r	r	NOUN
ejpam-4764	54	7	)	)	PUNCT
ejpam-4764	54	8	=	=	SYM
ejpam-4764	54	9	0	0	NUM
ejpam-4764	54	10	,	,	PUNCT
ejpam-4764	54	11	r	r	NOUN
ejpam-4764	54	12	∈	∈	PROPN
ejpam-4764	54	13	ω	ω	X
ejpam-4764	54	14	(	(	PUNCT
ejpam-4764	54	15	3	3	NUM
ejpam-4764	54	16	)	)	PUNCT
ejpam-4764	54	17	with	with	ADP
ejpam-4764	54	18	the	the	DET
ejpam-4764	54	19	condition	condition	NOUN
ejpam-4764	54	20	b	b	PROPN
ejpam-4764	54	21	(	(	PUNCT
ejpam-4764	54	22	y	y	PROPN
ejpam-4764	54	23	,	,	PUNCT
ejpam-4764	54	24	∂y	∂y	PROPN
ejpam-4764	54	25	∂n	∂n	PROPN
ejpam-4764	54	26	)	)	PUNCT
ejpam-4764	55	1	=	=	PUNCT
ejpam-4764	55	2	0	0	NUM
ejpam-4764	55	3	,	,	PUNCT
ejpam-4764	55	4	r	r	NOUN
ejpam-4764	55	5	∈	∈	PROPN
ejpam-4764	55	6	γ	γ	X
ejpam-4764	55	7	(	(	PUNCT
ejpam-4764	55	8	4	4	NUM
ejpam-4764	55	9	)	)	PUNCT
ejpam-4764	55	10	where	where	SCONJ
ejpam-4764	55	11	d	d	NOUN
ejpam-4764	55	12	is	be	AUX
ejpam-4764	55	13	a	a	DET
ejpam-4764	55	14	general	general	ADJ
ejpam-4764	55	15	differential	differential	NOUN
ejpam-4764	55	16	operator	operator	NOUN
ejpam-4764	55	17	,	,	PUNCT
ejpam-4764	55	18	which	which	PRON
ejpam-4764	55	19	can	can	AUX
ejpam-4764	55	20	be	be	AUX
ejpam-4764	55	21	divided	divide	VERB
ejpam-4764	55	22	into	into	ADP
ejpam-4764	55	23	linear	linear	ADJ
ejpam-4764	55	24	parts	part	NOUN
ejpam-4764	55	25	l	l	NOUN
ejpam-4764	55	26	and	and	CCONJ
ejpam-4764	55	27	n	n	CCONJ
ejpam-4764	55	28	nonlinear	nonlinear	ADJ
ejpam-4764	55	29	term	term	NOUN
ejpam-4764	55	30	of	of	ADP
ejpam-4764	55	31	equation	equation	NOUN
ejpam-4764	55	32	4	4	NUM
ejpam-4764	55	33	,	,	PUNCT
ejpam-4764	55	34	b	b	NOUN
ejpam-4764	55	35	is	be	AUX
ejpam-4764	55	36	a	a	DET
ejpam-4764	55	37	boundary	boundary	ADJ
ejpam-4764	55	38	operator	operator	NOUN
ejpam-4764	55	39	,	,	PUNCT
ejpam-4764	55	40	g(r	g(r	NOUN
ejpam-4764	55	41	)	)	PUNCT
ejpam-4764	55	42	is	be	AUX
ejpam-4764	55	43	a	a	DET
ejpam-4764	55	44	known	know	VERB
ejpam-4764	55	45	analytic	analytic	ADJ
ejpam-4764	55	46	function	function	NOUN
ejpam-4764	55	47	,	,	PUNCT
ejpam-4764	55	48	γ	γ	X
ejpam-4764	55	49	is	be	AUX
ejpam-4764	55	50	the	the	DET
ejpam-4764	55	51	boundary	boundary	NOUN
ejpam-4764	55	52	of	of	ADP
ejpam-4764	55	53	the	the	DET
ejpam-4764	55	54	domain	domain	NOUN
ejpam-4764	55	55	ω	ω	NOUN
ejpam-4764	55	56	.	.	PUNCT
ejpam-4764	55	57	can	can	AUX
ejpam-4764	55	58	be	be	AUX
ejpam-4764	55	59	rewritten	rewrite	VERB
ejpam-4764	55	60	as	as	ADP
ejpam-4764	55	61	l(y	l(y	PROPN
ejpam-4764	55	62	)	)	PUNCT
ejpam-4764	55	63	+	+	PROPN
ejpam-4764	55	64	n(y)−	n(y)−	PROPN
ejpam-4764	55	65	g(r	g(r	NOUN
ejpam-4764	55	66	)	)	PUNCT
ejpam-4764	55	67	=	=	SYM
ejpam-4764	56	1	0	0	X
ejpam-4764	56	2	.	.	PUNCT
ejpam-4764	57	1	(	(	PUNCT
ejpam-4764	57	2	5	5	NUM
ejpam-4764	57	3	)	)	PUNCT
ejpam-4764	57	4	by	by	ADP
ejpam-4764	57	5	the	the	DET
ejpam-4764	57	6	homotopy	homotopy	NOUN
ejpam-4764	57	7	technique	technique	NOUN
ejpam-4764	57	8	,	,	PUNCT
ejpam-4764	57	9	we	we	PRON
ejpam-4764	57	10	construct	construct	VERB
ejpam-4764	57	11	a	a	DET
ejpam-4764	57	12	homotopy	homotopy	NOUN
ejpam-4764	57	13	v(r	v(r	NOUN
ejpam-4764	57	14	,	,	PUNCT
ejpam-4764	57	15	p	p	NOUN
ejpam-4764	57	16	)	)	PUNCT
ejpam-4764	57	17	:	:	PUNCT
ejpam-4764	58	1	ω	ω	NUM
ejpam-4764	58	2	×	×	NOUN
ejpam-4764	58	3	[	[	X
ejpam-4764	58	4	0	0	NUM
ejpam-4764	58	5	,	,	PUNCT
ejpam-4764	58	6	1	1	NUM
ejpam-4764	58	7	]	]	PUNCT
ejpam-4764	58	8	→	→	PUNCT
ejpam-4764	58	9	r	r	NOUN
ejpam-4764	58	10	which	which	PRON
ejpam-4764	58	11	satisfies	satisfy	VERB
ejpam-4764	58	12	h(v	h(v	PROPN
ejpam-4764	58	13	,	,	PUNCT
ejpam-4764	58	14	p	p	NOUN
ejpam-4764	58	15	)	)	PUNCT
ejpam-4764	58	16	=	=	SYM
ejpam-4764	58	17	(	(	PUNCT
ejpam-4764	58	18	−p)[l(v)−	−p)[l(v)−	PROPN
ejpam-4764	58	19	l(v0	l(v0	PROPN
ejpam-4764	58	20	)	)	PUNCT
ejpam-4764	58	21	]	]	PUNCT
ejpam-4764	59	1	+	+	CCONJ
ejpam-4764	59	2	p[a(v)−	p[a(v)−	ADJ
ejpam-4764	59	3	g(r	g(r	NOUN
ejpam-4764	59	4	)	)	PUNCT
ejpam-4764	59	5	]	]	PUNCT
ejpam-4764	60	1	=	=	PUNCT
ejpam-4764	60	2	0	0	NUM
ejpam-4764	60	3	,	,	PUNCT
ejpam-4764	60	4	p	p	NOUN
ejpam-4764	60	5	∈	∈	PROPN
ejpam-4764	61	1	[	[	X
ejpam-4764	61	2	0	0	NUM
ejpam-4764	61	3	,	,	PUNCT
ejpam-4764	61	4	1	1	NUM
ejpam-4764	61	5	]	]	PUNCT
ejpam-4764	61	6	,	,	PUNCT
ejpam-4764	61	7	r	r	PROPN
ejpam-4764	61	8	∈	∈	PROPN
ejpam-4764	61	9	ω	ω	NOUN
ejpam-4764	61	10	)	)	PUNCT
ejpam-4764	61	11	(	(	PUNCT
ejpam-4764	61	12	6	6	NUM
ejpam-4764	61	13	)	)	PUNCT
ejpam-4764	61	14	or	or	CCONJ
ejpam-4764	61	15	h(v	h(v	PROPN
ejpam-4764	61	16	,	,	PUNCT
ejpam-4764	61	17	p	p	NOUN
ejpam-4764	61	18	)	)	PUNCT
ejpam-4764	61	19	=	=	SYM
ejpam-4764	61	20	l(v)−	l(v)−	PROPN
ejpam-4764	61	21	l(v0	l(v0	VERB
ejpam-4764	61	22	)	)	PUNCT
ejpam-4764	62	1	+	+	CCONJ
ejpam-4764	62	2	pl(v0	pl(v0	ADJ
ejpam-4764	62	3	)	)	PUNCT
ejpam-4764	62	4	+	+	NUM
ejpam-4764	62	5	p[n(v)−	p[n(v)−	PROPN
ejpam-4764	62	6	g(r	g(r	NOUN
ejpam-4764	62	7	)	)	PUNCT
ejpam-4764	62	8	]	]	PUNCT
ejpam-4764	62	9	=	=	PUNCT
ejpam-4764	62	10	0	0	NUM
ejpam-4764	62	11	,	,	PUNCT
ejpam-4764	62	12	(	(	PUNCT
ejpam-4764	62	13	7	7	X
ejpam-4764	62	14	)	)	PUNCT
ejpam-4764	62	15	where	where	SCONJ
ejpam-4764	62	16	p	p	PRON
ejpam-4764	62	17	∈	∈	PROPN
ejpam-4764	63	1	[	[	X
ejpam-4764	63	2	0	0	NUM
ejpam-4764	63	3	,	,	PUNCT
ejpam-4764	63	4	1	1	NUM
ejpam-4764	63	5	]	]	PUNCT
ejpam-4764	63	6	is	be	AUX
ejpam-4764	63	7	an	an	DET
ejpam-4764	63	8	embedding	embed	VERB
ejpam-4764	63	9	parameter	parameter	NOUN
ejpam-4764	63	10	,	,	PUNCT
ejpam-4764	63	11	v0	v0	PROPN
ejpam-4764	63	12	is	be	AUX
ejpam-4764	63	13	an	an	DET
ejpam-4764	63	14	initial	initial	ADJ
ejpam-4764	63	15	approximation	approximation	NOUN
ejpam-4764	63	16	of	of	ADP
ejpam-4764	63	17	equation	equation	NOUN
ejpam-4764	63	18	6	6	NUM
ejpam-4764	63	19	which	which	PRON
ejpam-4764	63	20	satisfies	satisfy	VERB
ejpam-4764	63	21	the	the	DET
ejpam-4764	63	22	boundary	boundary	ADJ
ejpam-4764	63	23	conditions	condition	NOUN
ejpam-4764	63	24	.	.	PUNCT
ejpam-4764	64	1	obviously	obviously	ADV
ejpam-4764	64	2	,	,	PUNCT
ejpam-4764	64	3	from	from	ADP
ejpam-4764	64	4	equation	equation	NOUN
ejpam-4764	64	5	7	7	NUM
ejpam-4764	64	6	we	we	PRON
ejpam-4764	64	7	have	have	VERB
ejpam-4764	64	8	h(v	h(v	PROPN
ejpam-4764	64	9	,	,	PUNCT
ejpam-4764	64	10	0	0	NUM
ejpam-4764	64	11	)	)	PUNCT
ejpam-4764	64	12	=	=	SYM
ejpam-4764	64	13	l(v)−	l(v)−	PROPN
ejpam-4764	64	14	l(v0	l(v0	VERB
ejpam-4764	64	15	)	)	PUNCT
ejpam-4764	65	1	=	=	SYM
ejpam-4764	65	2	0	0	NUM
ejpam-4764	65	3	,	,	PUNCT
ejpam-4764	65	4	(	(	PUNCT
ejpam-4764	65	5	8)	8)	NUM
ejpam-4764	65	6	h(v	h(v	NOUN
ejpam-4764	65	7	,	,	PUNCT
ejpam-4764	65	8	1	1	NUM
ejpam-4764	65	9	)	)	PUNCT
ejpam-4764	65	10	=	=	SYM
ejpam-4764	65	11	d(v)−	d(v)−	PROPN
ejpam-4764	65	12	g(r	g(r	PROPN
ejpam-4764	65	13	)	)	PUNCT
ejpam-4764	65	14	=	=	SYM
ejpam-4764	66	1	0	0	X
ejpam-4764	66	2	.	.	PUNCT
ejpam-4764	67	1	(	(	PUNCT
ejpam-4764	67	2	9	9	X
ejpam-4764	67	3	)	)	PUNCT
ejpam-4764	67	4	w.	w.	PROPN
ejpam-4764	67	5	al	al	PROPN
ejpam-4764	67	6	-	-	PUNCT
ejpam-4764	67	7	hayani	hayani	PROPN
ejpam-4764	67	8	,	,	PUNCT
ejpam-4764	67	9	m	m	VERB
ejpam-4764	67	10	t.	t.	NOUN
ejpam-4764	67	11	younis	younis	PROPN
ejpam-4764	67	12	/	/	SYM
ejpam-4764	67	13	eur	eur	PROPN
ejpam-4764	67	14	.	.	PUNCT
ejpam-4764	68	1	j.	j.	PROPN
ejpam-4764	68	2	pure	pure	PROPN
ejpam-4764	68	3	appl	appl	PROPN
ejpam-4764	68	4	.	.	PROPN
ejpam-4764	68	5	math	math	PROPN
ejpam-4764	68	6	,	,	PUNCT
ejpam-4764	68	7	16	16	NUM
ejpam-4764	68	8	(	(	PUNCT
ejpam-4764	68	9	2	2	NUM
ejpam-4764	68	10	)	)	PUNCT
ejpam-4764	68	11	(	(	PUNCT
ejpam-4764	68	12	2023	2023	NUM
ejpam-4764	68	13	)	)	PUNCT
ejpam-4764	68	14	,	,	PUNCT
ejpam-4764	68	15	1236	1236	NUM
ejpam-4764	68	16	-	-	SYM
ejpam-4764	68	17	1259	1259	NUM
ejpam-4764	68	18	1239	1239	NUM
ejpam-4764	68	19	the	the	DET
ejpam-4764	68	20	changing	change	VERB
ejpam-4764	68	21	process	process	NOUN
ejpam-4764	68	22	of	of	ADP
ejpam-4764	68	23	p	p	NOUN
ejpam-4764	68	24	from	from	ADP
ejpam-4764	68	25	zero	zero	NUM
ejpam-4764	68	26	to	to	ADP
ejpam-4764	68	27	unity	unity	NOUN
ejpam-4764	68	28	is	be	AUX
ejpam-4764	68	29	just	just	ADV
ejpam-4764	68	30	that	that	PRON
ejpam-4764	68	31	of	of	ADP
ejpam-4764	68	32	y(r	y(r	PROPN
ejpam-4764	68	33	,	,	PUNCT
ejpam-4764	68	34	p	p	NOUN
ejpam-4764	68	35	)	)	PUNCT
ejpam-4764	68	36	from	from	ADP
ejpam-4764	68	37	y0(r	y0(r	NOUN
ejpam-4764	68	38	)	)	PUNCT
ejpam-4764	68	39	to	to	ADP
ejpam-4764	68	40	y(r	y(r	PROPN
ejpam-4764	68	41	)	)	PUNCT
ejpam-4764	68	42	.	.	PUNCT
ejpam-4764	69	1	in	in	ADP
ejpam-4764	69	2	topology	topology	NOUN
ejpam-4764	69	3	,	,	PUNCT
ejpam-4764	69	4	this	this	PRON
ejpam-4764	69	5	is	be	AUX
ejpam-4764	69	6	called	call	VERB
ejpam-4764	69	7	deformation	deformation	NOUN
ejpam-4764	69	8	,	,	PUNCT
ejpam-4764	69	9	and	and	CCONJ
ejpam-4764	69	10	l(y)−	l(y)−	NOUN
ejpam-4764	69	11	l(v0	l(v0	PROPN
ejpam-4764	69	12	)	)	PUNCT
ejpam-4764	69	13	,	,	PUNCT
ejpam-4764	69	14	b(y)−	b(y)−	PROPN
ejpam-4764	69	15	f(r	f(r	PROPN
ejpam-4764	69	16	)	)	PUNCT
ejpam-4764	69	17	are	be	AUX
ejpam-4764	69	18	called	call	VERB
ejpam-4764	69	19	homptopic	homptopic	PROPN
ejpam-4764	69	20	.	.	PUNCT
ejpam-4764	70	1	in	in	ADP
ejpam-4764	70	2	this	this	DET
ejpam-4764	70	3	paper	paper	NOUN
ejpam-4764	70	4	,	,	PUNCT
ejpam-4764	70	5	the	the	DET
ejpam-4764	70	6	authors	author	NOUN
ejpam-4764	70	7	will	will	AUX
ejpam-4764	70	8	first	first	ADV
ejpam-4764	70	9	use	use	VERB
ejpam-4764	70	10	the	the	DET
ejpam-4764	70	11	imbedding	imbed	VERB
ejpam-4764	70	12	parameter	parameter	NOUN
ejpam-4764	70	13	p	p	PROPN
ejpam-4764	70	14	as	as	ADP
ejpam-4764	70	15	a	a	DET
ejpam-4764	70	16	“	"	PUNCT
ejpam-4764	70	17	small	small	ADJ
ejpam-4764	70	18	parameter	parameter	NOUN
ejpam-4764	70	19	”	"	PUNCT
ejpam-4764	70	20	,	,	PUNCT
ejpam-4764	70	21	and	and	CCONJ
ejpam-4764	70	22	assume	assume	VERB
ejpam-4764	70	23	that	that	SCONJ
ejpam-4764	70	24	the	the	DET
ejpam-4764	70	25	solution	solution	NOUN
ejpam-4764	70	26	of	of	ADP
ejpam-4764	70	27	equation	equation	NOUN
ejpam-4764	70	28	7	7	NUM
ejpam-4764	70	29	can	can	AUX
ejpam-4764	70	30	be	be	AUX
ejpam-4764	70	31	written	write	VERB
ejpam-4764	70	32	as	as	ADP
ejpam-4764	70	33	a	a	DET
ejpam-4764	70	34	power	power	NOUN
ejpam-4764	70	35	series	series	NOUN
ejpam-4764	70	36	in	in	ADP
ejpam-4764	70	37	p	p	PROPN
ejpam-4764	70	38	:	:	PUNCT
ejpam-4764	71	1	y	y	PROPN
ejpam-4764	71	2	=	=	PUNCT
ejpam-4764	72	1	∞∑	∞∑	ADJ
ejpam-4764	72	2	n=0	n=0	ADJ
ejpam-4764	72	3	pnyn	pnyn	NOUN
ejpam-4764	72	4	=	=	SYM
ejpam-4764	72	5	y0	y0	PROPN
ejpam-4764	72	6	+	+	NUM
ejpam-4764	72	7	py1	py1	NOUN
ejpam-4764	72	8	+	+	CCONJ
ejpam-4764	72	9	p2y2	p2y2	X
ejpam-4764	72	10	+	+	CCONJ
ejpam-4764	72	11	·	·	PUNCT
ejpam-4764	72	12	·	·	PUNCT
ejpam-4764	72	13	·	·	PUNCT
ejpam-4764	72	14	,	,	PUNCT
ejpam-4764	72	15	(	(	PUNCT
ejpam-4764	72	16	10	10	NUM
ejpam-4764	72	17	)	)	PUNCT
ejpam-4764	72	18	and	and	CCONJ
ejpam-4764	72	19	the	the	DET
ejpam-4764	72	20	nonlinear	nonlinear	ADJ
ejpam-4764	72	21	term	term	NOUN
ejpam-4764	72	22	ny	ny	PROPN
ejpam-4764	72	23	can	can	AUX
ejpam-4764	72	24	be	be	AUX
ejpam-4764	72	25	decomposed	decompose	VERB
ejpam-4764	72	26	as	as	ADP
ejpam-4764	72	27	ny	ny	NOUN
ejpam-4764	72	28	=	=	PROPN
ejpam-4764	72	29	∞∑	∞∑	PRON
ejpam-4764	72	30	n=0	n=0	NUM
ejpam-4764	72	31	pnhn	pnhn	NOUN
ejpam-4764	72	32	(	(	PUNCT
ejpam-4764	72	33	y	y	NOUN
ejpam-4764	72	34	)	)	PUNCT
ejpam-4764	72	35	,	,	PUNCT
ejpam-4764	72	36	(	(	PUNCT
ejpam-4764	72	37	11	11	NUM
ejpam-4764	72	38	)	)	PUNCT
ejpam-4764	72	39	where	where	SCONJ
ejpam-4764	72	40	the	the	DET
ejpam-4764	72	41	hn	hn	PROPN
ejpam-4764	72	42	are	be	AUX
ejpam-4764	72	43	he	he	PRON
ejpam-4764	72	44	’s	’s	PART
ejpam-4764	72	45	polynomials	polynomial	NOUN
ejpam-4764	72	46	of	of	ADP
ejpam-4764	72	47	y0	y0	NOUN
ejpam-4764	72	48	,	,	PUNCT
ejpam-4764	72	49	y1	y1	NOUN
ejpam-4764	72	50	,	,	PUNCT
ejpam-4764	72	51	.	.	PUNCT
ejpam-4764	72	52	.	.	PUNCT
ejpam-4764	73	1	.	.	PUNCT
ejpam-4764	74	1	,	,	PUNCT
ejpam-4764	74	2	yn	yn	PROPN
ejpam-4764	74	3	and	and	CCONJ
ejpam-4764	74	4	are	be	AUX
ejpam-4764	74	5	calculated	calculate	VERB
ejpam-4764	74	6	by	by	ADP
ejpam-4764	74	7	the	the	DET
ejpam-4764	74	8	definitional	definitional	ADJ
ejpam-4764	74	9	formula	formula	NOUN
ejpam-4764	75	1	[	[	X
ejpam-4764	75	2	11	11	NUM
ejpam-4764	75	3	]	]	PUNCT
ejpam-4764	75	4	hn	hn	PROPN
ejpam-4764	75	5	(	(	PUNCT
ejpam-4764	75	6	y0	y0	PROPN
ejpam-4764	75	7	,	,	PUNCT
ejpam-4764	75	8	y1	y1	NOUN
ejpam-4764	75	9	,	,	PUNCT
ejpam-4764	75	10	.	.	PUNCT
ejpam-4764	75	11	.	.	PUNCT
ejpam-4764	75	12	.	.	PUNCT
ejpam-4764	76	1	,	,	PUNCT
ejpam-4764	76	2	yn	yn	PROPN
ejpam-4764	76	3	)	)	PUNCT
ejpam-4764	76	4	=	=	SYM
ejpam-4764	76	5	1	1	NUM
ejpam-4764	76	6	n	n	NOUN
ejpam-4764	76	7	!	!	PUNCT
ejpam-4764	77	1	∂n	∂n	PROPN
ejpam-4764	78	1	∂pn	∂pn	NOUN
ejpam-4764	78	2	[	[	PUNCT
ejpam-4764	78	3	n	n	CCONJ
ejpam-4764	78	4	(	(	PUNCT
ejpam-4764	78	5	∞∑	∞∑	NUM
ejpam-4764	78	6	i=0	i=0	ADJ
ejpam-4764	78	7	piyi	piyi	NOUN
ejpam-4764	78	8	)	)	PUNCT
ejpam-4764	78	9	]	]	PUNCT
ejpam-4764	79	1	p=0	p=0	PROPN
ejpam-4764	79	2	,	,	PUNCT
ejpam-4764	79	3	n	n	NOUN
ejpam-4764	79	4	=	=	SYM
ejpam-4764	79	5	0	0	NUM
ejpam-4764	79	6	,	,	PUNCT
ejpam-4764	79	7	1	1	NUM
ejpam-4764	79	8	,	,	PUNCT
ejpam-4764	79	9	2	2	NUM
ejpam-4764	79	10	,	,	PUNCT
ejpam-4764	79	11	.	.	PUNCT
ejpam-4764	79	12	.	.	PUNCT
ejpam-4764	79	13	.	.	PUNCT
ejpam-4764	79	14	.	.	PUNCT
ejpam-4764	80	1	setting	set	VERB
ejpam-4764	80	2	p	p	NOUN
ejpam-4764	80	3	=	=	SYM
ejpam-4764	80	4	1	1	NUM
ejpam-4764	80	5	results	result	NOUN
ejpam-4764	80	6	in	in	ADP
ejpam-4764	80	7	the	the	DET
ejpam-4764	80	8	approximate	approximate	ADJ
ejpam-4764	80	9	solution	solution	NOUN
ejpam-4764	80	10	of	of	ADP
ejpam-4764	80	11	equation	equation	NOUN
ejpam-4764	80	12	3	3	NUM
ejpam-4764	80	13	y	y	PROPN
ejpam-4764	80	14	=	=	PROPN
ejpam-4764	80	15	lim	lim	PROPN
ejpam-4764	80	16	p→1	p→1	AUX
ejpam-4764	80	17	∞∑	∞∑	ADJ
ejpam-4764	80	18	n=0	n=0	ADJ
ejpam-4764	80	19	pnyn	pnyn	NOUN
ejpam-4764	80	20	=	=	SYM
ejpam-4764	80	21	y0	y0	PROPN
ejpam-4764	80	22	+	+	CCONJ
ejpam-4764	80	23	y1	y1	NOUN
ejpam-4764	80	24	+	+	CCONJ
ejpam-4764	80	25	y2	y2	NOUN
ejpam-4764	80	26	+	+	CCONJ
ejpam-4764	80	27	y3	y3	NOUN
ejpam-4764	80	28	+	+	X
ejpam-4764	80	29	·	·	PUNCT
ejpam-4764	80	30	·	·	PUNCT
ejpam-4764	80	31	·	·	PUNCT
ejpam-4764	80	32	.	.	PUNCT
ejpam-4764	81	1	(	(	PUNCT
ejpam-4764	81	2	12	12	NUM
ejpam-4764	81	3	)	)	PUNCT
ejpam-4764	81	4	the	the	DET
ejpam-4764	81	5	convergence	convergence	NOUN
ejpam-4764	81	6	of	of	ADP
ejpam-4764	81	7	the	the	DET
ejpam-4764	81	8	series	series	NOUN
ejpam-4764	81	9	solution	solution	NOUN
ejpam-4764	81	10	(	(	PUNCT
ejpam-4764	81	11	10	10	NUM
ejpam-4764	81	12	)	)	PUNCT
ejpam-4764	81	13	is	be	AUX
ejpam-4764	81	14	given	give	VERB
ejpam-4764	81	15	in	in	ADP
ejpam-4764	81	16	[	[	X
ejpam-4764	81	17	12	12	NUM
ejpam-4764	81	18	]	]	PUNCT
ejpam-4764	81	19	.	.	PUNCT
ejpam-4764	82	1	3	3	X
ejpam-4764	82	2	.	.	NOUN
ejpam-4764	82	3	hpm	hpm	NOUN
ejpam-4764	82	4	with	with	ADP
ejpam-4764	82	5	green	green	PROPN
ejpam-4764	82	6	’s	’s	PART
ejpam-4764	82	7	function	function	NOUN
ejpam-4764	82	8	the	the	DET
ejpam-4764	82	9	green	green	PROPN
ejpam-4764	82	10	’s	’s	PART
ejpam-4764	82	11	function	function	NOUN
ejpam-4764	82	12	g(x	g(x	PROPN
ejpam-4764	82	13	,	,	PUNCT
ejpam-4764	82	14	ξ	ξ	X
ejpam-4764	82	15	)	)	PUNCT
ejpam-4764	82	16	corresponding	correspond	VERB
ejpam-4764	82	17	to	to	ADP
ejpam-4764	82	18	linear	linear	ADJ
ejpam-4764	82	19	operator	operator	NOUN
ejpam-4764	82	20	d2	d2	PROPN
ejpam-4764	82	21	dx2	dx2	PROPN
ejpam-4764	83	1	ỹi	ỹi	PROPN
ejpam-4764	83	2	(	(	PUNCT
ejpam-4764	83	3	x	x	NOUN
ejpam-4764	83	4	,	,	PUNCT
ejpam-4764	83	5	α	α	NOUN
ejpam-4764	83	6	)	)	PUNCT
ejpam-4764	83	7	,	,	PUNCT
ejpam-4764	83	8	i	i	PRON
ejpam-4764	83	9	=	=	NOUN
ejpam-4764	83	10	1	1	NUM
ejpam-4764	83	11	,	,	PUNCT
ejpam-4764	83	12	2	2	NUM
ejpam-4764	83	13	in	in	ADP
ejpam-4764	83	14	eq	eq	ADP
ejpam-4764	83	15	.	.	PUNCT
ejpam-4764	84	1	(	(	PUNCT
ejpam-4764	84	2	1	1	X
ejpam-4764	84	3	)	)	PUNCT
ejpam-4764	84	4	is	be	AUX
ejpam-4764	84	5	g(x	g(x	NUM
ejpam-4764	84	6	,	,	PUNCT
ejpam-4764	84	7	ξ	ξ	NOUN
ejpam-4764	84	8	)	)	PUNCT
ejpam-4764	84	9	=	=	SYM
ejpam-4764	84	10			PROPN
ejpam-4764	84	11	c1	c1	NOUN
ejpam-4764	84	12	(	(	PUNCT
ejpam-4764	84	13	ξ)x+	ξ)x+	NUM
ejpam-4764	84	14	c2	c2	PROPN
ejpam-4764	84	15	(	(	PUNCT
ejpam-4764	84	16	ξ	ξ	PROPN
ejpam-4764	84	17	)	)	PUNCT
ejpam-4764	84	18	,	,	PUNCT
ejpam-4764	84	19	0	0	NUM
ejpam-4764	84	20	≤	≤	NUM
ejpam-4764	85	1	ξ	ξ	X
ejpam-4764	85	2	≤	≤	NUM
ejpam-4764	85	3	x	x	X
ejpam-4764	85	4	,	,	PUNCT
ejpam-4764	85	5	c3	c3	X
ejpam-4764	85	6	(	(	PUNCT
ejpam-4764	85	7	ξ)x+	ξ)x+	NUM
ejpam-4764	85	8	c4	c4	NOUN
ejpam-4764	85	9	(	(	PUNCT
ejpam-4764	85	10	ξ	ξ	NOUN
ejpam-4764	85	11	)	)	PUNCT
ejpam-4764	85	12	,	,	PUNCT
ejpam-4764	85	13	x	x	PUNCT
ejpam-4764	85	14	≤	≤	X
ejpam-4764	85	15	ξ	ξ	X
ejpam-4764	85	16	≤	≤	NUM
ejpam-4764	85	17	1	1	NUM
ejpam-4764	85	18	,	,	PUNCT
ejpam-4764	85	19	(	(	PUNCT
ejpam-4764	85	20	13	13	NUM
ejpam-4764	85	21	)	)	PUNCT
ejpam-4764	85	22	where	where	SCONJ
ejpam-4764	85	23	x	x	X
ejpam-4764	85	24	̸=	̸=	PROPN
ejpam-4764	85	25	ξ	ξ	PROPN
ejpam-4764	85	26	,	,	PUNCT
ejpam-4764	85	27	c1	c1	PROPN
ejpam-4764	85	28	(	(	PUNCT
ejpam-4764	85	29	ξ	ξ	PROPN
ejpam-4764	85	30	)	)	PUNCT
ejpam-4764	85	31	,	,	PUNCT
ejpam-4764	85	32	c2	c2	PROPN
ejpam-4764	85	33	(	(	PUNCT
ejpam-4764	85	34	ξ	ξ	PROPN
ejpam-4764	85	35	)	)	PUNCT
ejpam-4764	85	36	,	,	PUNCT
ejpam-4764	85	37	c3	c3	PROPN
ejpam-4764	85	38	(	(	PUNCT
ejpam-4764	85	39	ξ	ξ	NOUN
ejpam-4764	85	40	)	)	PUNCT
ejpam-4764	85	41	and	and	CCONJ
ejpam-4764	85	42	c4	c4	NOUN
ejpam-4764	85	43	(	(	PUNCT
ejpam-4764	85	44	ξ	ξ	NOUN
ejpam-4764	85	45	)	)	PUNCT
ejpam-4764	85	46	are	be	AUX
ejpam-4764	85	47	linearly	linearly	ADV
ejpam-4764	85	48	independent	independent	ADJ
ejpam-4764	85	49	solutions	solution	NOUN
ejpam-4764	85	50	of	of	ADP
ejpam-4764	85	51	d2	d2	PROPN
ejpam-4764	85	52	dx2	dx2	PROPN
ejpam-4764	85	53	ỹi	ỹi	PROPN
ejpam-4764	85	54	(	(	PUNCT
ejpam-4764	85	55	x	x	NOUN
ejpam-4764	85	56	,	,	PUNCT
ejpam-4764	85	57	α	α	NOUN
ejpam-4764	85	58	)	)	PUNCT
ejpam-4764	85	59	with	with	ADP
ejpam-4764	85	60	a2	a2	PROPN
ejpam-4764	85	61	(	(	PUNCT
ejpam-4764	85	62	x	x	NOUN
ejpam-4764	85	63	)	)	PUNCT
ejpam-4764	85	64	=	=	SYM
ejpam-4764	85	65	1	1	NUM
ejpam-4764	85	66	and	and	CCONJ
ejpam-4764	85	67	c2	c2	PROPN
ejpam-4764	85	68	(	(	PUNCT
ejpam-4764	85	69	x	x	X
ejpam-4764	85	70	)	)	PUNCT
ejpam-4764	85	71	=	=	SYM
ejpam-4764	85	72	1	1	X
ejpam-4764	85	73	.	.	X
ejpam-4764	86	1	we	we	PRON
ejpam-4764	86	2	follow	follow	VERB
ejpam-4764	86	3	three	three	NUM
ejpam-4764	86	4	conditions	condition	NOUN
ejpam-4764	86	5	to	to	PART
ejpam-4764	86	6	find	find	VERB
ejpam-4764	86	7	the	the	DET
ejpam-4764	86	8	green	green	NOUN
ejpam-4764	86	9	’s	’s	PART
ejpam-4764	86	10	function	function	NOUN
ejpam-4764	86	11	of	of	ADP
ejpam-4764	86	12	the	the	DET
ejpam-4764	86	13	second	second	ADJ
ejpam-4764	86	14	-	-	PUNCT
ejpam-4764	86	15	order	order	NOUN
ejpam-4764	86	16	bvp	bvp	NOUN
ejpam-4764	86	17	.	.	PUNCT
ejpam-4764	87	1	–	–	PUNCT
ejpam-4764	87	2	g(x	g(x	NOUN
ejpam-4764	87	3	,	,	PUNCT
ejpam-4764	87	4	ξ	ξ	X
ejpam-4764	87	5	)	)	PUNCT
ejpam-4764	87	6	is	be	AUX
ejpam-4764	87	7	continuous	continuous	ADJ
ejpam-4764	87	8	at	at	ADP
ejpam-4764	87	9	x	x	X
ejpam-4764	87	10	=	=	SYM
ejpam-4764	87	11	ξ	ξ	PRON
ejpam-4764	87	12	:	:	PUNCT
ejpam-4764	88	1	[	[	X
ejpam-4764	88	2	c1	c1	NOUN
ejpam-4764	88	3	(	(	PUNCT
ejpam-4764	88	4	ξ)x+	ξ)x+	NUM
ejpam-4764	88	5	c2	c2	PROPN
ejpam-4764	88	6	(	(	PUNCT
ejpam-4764	88	7	ξ)]x	ξ)]x	PROPN
ejpam-4764	88	8	=	=	SYM
ejpam-4764	88	9	ξ	ξ	PROPN
ejpam-4764	88	10	=	=	PUNCT
ejpam-4764	89	1	[	[	X
ejpam-4764	89	2	c3	c3	X
ejpam-4764	89	3	(	(	PUNCT
ejpam-4764	89	4	ξ)x+	ξ)x+	NUM
ejpam-4764	89	5	c4	c4	NOUN
ejpam-4764	89	6	(	(	PUNCT
ejpam-4764	89	7	ξ)]x	ξ)]x	PROPN
ejpam-4764	89	8	=	=	SYM
ejpam-4764	89	9	ξ	ξ	PROPN
ejpam-4764	89	10	(	(	PUNCT
ejpam-4764	89	11	14	14	NUM
ejpam-4764	89	12	)	)	PUNCT
ejpam-4764	89	13	–	–	PUNCT
ejpam-4764	89	14	∂	∂	NUM
ejpam-4764	89	15	∂x	∂x	PROPN
ejpam-4764	89	16	g(x	g(x	PROPN
ejpam-4764	89	17	,	,	PUNCT
ejpam-4764	89	18	ξ	ξ	X
ejpam-4764	89	19	)	)	PUNCT
ejpam-4764	89	20	is	be	AUX
ejpam-4764	89	21	discontinuous	discontinuous	ADJ
ejpam-4764	89	22	at	at	ADP
ejpam-4764	89	23	x	x	X
ejpam-4764	89	24	=	=	SYM
ejpam-4764	89	25	ξ	ξ	X
ejpam-4764	89	26	:	:	PUNCT
ejpam-4764	89	27	{	{	PUNCT
ejpam-4764	89	28	∂	∂	NUM
ejpam-4764	89	29	∂x	∂x	PROPN
ejpam-4764	89	30	[	[	X
ejpam-4764	89	31	c1	c1	NOUN
ejpam-4764	89	32	(	(	PUNCT
ejpam-4764	89	33	ξ)x+	ξ)x+	NUM
ejpam-4764	89	34	c2	c2	PROPN
ejpam-4764	89	35	(	(	PUNCT
ejpam-4764	89	36	ξ)]−	ξ)]−	NOUN
ejpam-4764	89	37	∂	∂	NOUN
ejpam-4764	89	38	∂x	∂x	PROPN
ejpam-4764	90	1	[	[	X
ejpam-4764	90	2	c3	c3	X
ejpam-4764	90	3	(	(	PUNCT
ejpam-4764	90	4	ξ)x+	ξ)x+	NUM
ejpam-4764	90	5	c4	c4	NOUN
ejpam-4764	90	6	(	(	PUNCT
ejpam-4764	90	7	ξ	ξ	NOUN
ejpam-4764	90	8	)	)	PUNCT
ejpam-4764	90	9	]	]	PUNCT
ejpam-4764	90	10	}	}	PUNCT
ejpam-4764	90	11	x	x	X
ejpam-4764	90	12	=	=	SYM
ejpam-4764	90	13	ξ	ξ	NOUN
ejpam-4764	90	14	=	=	SYM
ejpam-4764	90	15	−1	−1	NOUN
ejpam-4764	90	16	(	(	PUNCT
ejpam-4764	90	17	15	15	NUM
ejpam-4764	90	18	)	)	PUNCT
ejpam-4764	90	19	w.	w.	PROPN
ejpam-4764	90	20	al	al	PROPN
ejpam-4764	90	21	-	-	PUNCT
ejpam-4764	90	22	hayani	hayani	PROPN
ejpam-4764	90	23	,	,	PUNCT
ejpam-4764	90	24	m	m	VERB
ejpam-4764	90	25	t.	t.	NOUN
ejpam-4764	90	26	younis	younis	PROPN
ejpam-4764	90	27	/	/	SYM
ejpam-4764	90	28	eur	eur	PROPN
ejpam-4764	90	29	.	.	PUNCT
ejpam-4764	91	1	j.	j.	PROPN
ejpam-4764	91	2	pure	pure	PROPN
ejpam-4764	91	3	appl	appl	PROPN
ejpam-4764	91	4	.	.	PROPN
ejpam-4764	91	5	math	math	PROPN
ejpam-4764	91	6	,	,	PUNCT
ejpam-4764	91	7	16	16	NUM
ejpam-4764	91	8	(	(	PUNCT
ejpam-4764	91	9	2	2	NUM
ejpam-4764	91	10	)	)	PUNCT
ejpam-4764	91	11	(	(	PUNCT
ejpam-4764	91	12	2023	2023	NUM
ejpam-4764	91	13	)	)	PUNCT
ejpam-4764	91	14	,	,	PUNCT
ejpam-4764	91	15	1236	1236	NUM
ejpam-4764	91	16	-	-	SYM
ejpam-4764	91	17	1259	1259	NUM
ejpam-4764	91	18	1240	1240	NUM
ejpam-4764	91	19	–	–	PUNCT
ejpam-4764	91	20	g(x	g(x	NOUN
ejpam-4764	91	21	,	,	PUNCT
ejpam-4764	91	22	ξ	ξ	X
ejpam-4764	91	23	)	)	PUNCT
ejpam-4764	91	24	satisfies	satisfy	VERB
ejpam-4764	91	25	the	the	DET
ejpam-4764	91	26	homogeneous	homogeneous	ADJ
ejpam-4764	91	27	boundary	boundary	ADJ
ejpam-4764	91	28	conditions	condition	NOUN
ejpam-4764	91	29	(	(	PUNCT
ejpam-4764	91	30	2	2	NUM
ejpam-4764	91	31	):	):	PUNCT
ejpam-4764	91	32	[	[	X
ejpam-4764	91	33	c1	c1	NOUN
ejpam-4764	91	34	(	(	PUNCT
ejpam-4764	91	35	ξ)x+	ξ)x+	NUM
ejpam-4764	91	36	c2	c2	PROPN
ejpam-4764	91	37	(	(	PUNCT
ejpam-4764	91	38	ξ)]x=0	ξ)]x=0	PROPN
ejpam-4764	91	39	=	=	SYM
ejpam-4764	91	40	0	0	NUM
ejpam-4764	91	41	,	,	PUNCT
ejpam-4764	91	42	[	[	X
ejpam-4764	91	43	c3	c3	X
ejpam-4764	91	44	(	(	PUNCT
ejpam-4764	91	45	ξ)x+	ξ)x+	NUM
ejpam-4764	91	46	c4	c4	NOUN
ejpam-4764	91	47	(	(	PUNCT
ejpam-4764	91	48	ξ)]x=1	ξ)]x=1	NOUN
ejpam-4764	91	49	=	=	SYM
ejpam-4764	91	50	0	0	PROPN
ejpam-4764	91	51	.	.	PUNCT
ejpam-4764	92	1	(	(	PUNCT
ejpam-4764	92	2	16	16	NUM
ejpam-4764	92	3	)	)	PUNCT
ejpam-4764	92	4	by	by	ADP
ejpam-4764	92	5	solving	solve	VERB
ejpam-4764	92	6	the	the	DET
ejpam-4764	92	7	above	above	ADJ
ejpam-4764	92	8	three	three	NUM
ejpam-4764	92	9	equations	equation	NOUN
ejpam-4764	92	10	(	(	PUNCT
ejpam-4764	92	11	14)-(16	14)-(16	NOUN
ejpam-4764	92	12	)	)	PUNCT
ejpam-4764	92	13	to	to	PART
ejpam-4764	92	14	find	find	VERB
ejpam-4764	92	15	c1	c1	PROPN
ejpam-4764	92	16	(	(	PUNCT
ejpam-4764	92	17	ξ	ξ	PROPN
ejpam-4764	92	18	)	)	PUNCT
ejpam-4764	92	19	,	,	PUNCT
ejpam-4764	92	20	c2	c2	PROPN
ejpam-4764	92	21	(	(	PUNCT
ejpam-4764	92	22	ξ	ξ	PROPN
ejpam-4764	92	23	)	)	PUNCT
ejpam-4764	92	24	,	,	PUNCT
ejpam-4764	92	25	c3	c3	PROPN
ejpam-4764	92	26	(	(	PUNCT
ejpam-4764	92	27	ξ	ξ	NOUN
ejpam-4764	92	28	)	)	PUNCT
ejpam-4764	92	29	and	and	CCONJ
ejpam-4764	92	30	c4	c4	NOUN
ejpam-4764	92	31	(	(	PUNCT
ejpam-4764	92	32	ξ	ξ	NOUN
ejpam-4764	92	33	)	)	PUNCT
ejpam-4764	92	34	,	,	PUNCT
ejpam-4764	92	35	therefore	therefore	ADV
ejpam-4764	92	36	,	,	PUNCT
ejpam-4764	92	37	the	the	DET
ejpam-4764	92	38	green	green	NOUN
ejpam-4764	92	39	’s	’s	PART
ejpam-4764	92	40	function	function	NOUN
ejpam-4764	92	41	(	(	PUNCT
ejpam-4764	92	42	13	13	NUM
ejpam-4764	92	43	)	)	PUNCT
ejpam-4764	92	44	of	of	ADP
ejpam-4764	92	45	eqs	eqs	PROPN
ejpam-4764	92	46	.	.	PUNCT
ejpam-4764	93	1	(	(	PUNCT
ejpam-4764	93	2	1	1	X
ejpam-4764	93	3	)	)	PUNCT
ejpam-4764	93	4	and	and	CCONJ
ejpam-4764	93	5	(	(	PUNCT
ejpam-4764	93	6	2	2	X
ejpam-4764	93	7	)	)	PUNCT
ejpam-4764	93	8	can	can	AUX
ejpam-4764	93	9	be	be	AUX
ejpam-4764	93	10	written	write	VERB
ejpam-4764	93	11	as	as	ADP
ejpam-4764	93	12	g(x	g(x	PROPN
ejpam-4764	93	13	,	,	PUNCT
ejpam-4764	93	14	ξ	ξ	NOUN
ejpam-4764	93	15	)	)	PUNCT
ejpam-4764	93	16	=	=	PUNCT
ejpam-4764	93	17			PUNCT
ejpam-4764	93	18	ξ	ξ	PROPN
ejpam-4764	93	19	(	(	PUNCT
ejpam-4764	93	20	1−	1−	NUM
ejpam-4764	93	21	x	x	NOUN
ejpam-4764	93	22	)	)	PUNCT
ejpam-4764	93	23	,	,	PUNCT
ejpam-4764	93	24	0	0	NUM
ejpam-4764	93	25	≤	≤	NUM
ejpam-4764	93	26	ξ	ξ	X
ejpam-4764	93	27	≤	≤	NUM
ejpam-4764	93	28	x	x	X
ejpam-4764	93	29	,	,	PUNCT
ejpam-4764	93	30	x	x	X
ejpam-4764	93	31	(	(	PUNCT
ejpam-4764	93	32	1−	1−	NUM
ejpam-4764	93	33	ξ	ξ	NOUN
ejpam-4764	93	34	)	)	PUNCT
ejpam-4764	93	35	,	,	PUNCT
ejpam-4764	93	36	x	x	X
ejpam-4764	93	37	≤	≤	X
ejpam-4764	93	38	ξ	ξ	X
ejpam-4764	93	39	≤	≤	NUM
ejpam-4764	93	40	1	1	NUM
ejpam-4764	93	41	.	.	PUNCT
ejpam-4764	94	1	(	(	PUNCT
ejpam-4764	94	2	17	17	NUM
ejpam-4764	94	3	)	)	PUNCT
ejpam-4764	94	4	now	now	ADV
ejpam-4764	94	5	,	,	PUNCT
ejpam-4764	94	6	we	we	PRON
ejpam-4764	94	7	costruct	costruct	VERB
ejpam-4764	94	8	the	the	DET
ejpam-4764	94	9	hpm	hpm	NOUN
ejpam-4764	94	10	with	with	ADP
ejpam-4764	94	11	green	green	PROPN
ejpam-4764	94	12	’s	’s	PART
ejpam-4764	94	13	function	function	NOUN
ejpam-4764	94	14	,	,	PUNCT
ejpam-4764	94	15	we	we	PRON
ejpam-4764	94	16	have	have	VERB
ejpam-4764	94	17	ỹ1	ỹ1	NOUN
ejpam-4764	94	18	(	(	PUNCT
ejpam-4764	94	19	x	x	X
ejpam-4764	94	20	,	,	PUNCT
ejpam-4764	94	21	α	α	NOUN
ejpam-4764	94	22	)	)	PUNCT
ejpam-4764	94	23	=	=	SYM
ejpam-4764	95	1	h̃1	h̃1	PROPN
ejpam-4764	95	2	(	(	PUNCT
ejpam-4764	95	3	x	x	X
ejpam-4764	95	4	,	,	PUNCT
ejpam-4764	95	5	α)−	α)−	VERB
ejpam-4764	95	6	∫	∫	PROPN
ejpam-4764	95	7	1	1	NUM
ejpam-4764	95	8	0	0	NUM
ejpam-4764	95	9	g	g	PROPN
ejpam-4764	95	10	(	(	PUNCT
ejpam-4764	95	11	x	x	X
ejpam-4764	95	12	,	,	PUNCT
ejpam-4764	95	13	ξ	ξ	NOUN
ejpam-4764	95	14	)	)	PUNCT
ejpam-4764	95	15	f̃1	f̃1	PROPN
ejpam-4764	95	16	(	(	PUNCT
ejpam-4764	95	17	ξ	ξ	PROPN
ejpam-4764	95	18	,	,	PUNCT
ejpam-4764	95	19	α	α	NOUN
ejpam-4764	95	20	)	)	PUNCT
ejpam-4764	95	21	dξ	dξ	VERB
ejpam-4764	96	1	+	+	PROPN
ejpam-4764	96	2	p	p	X
ejpam-4764	96	3	∫	∫	PROPN
ejpam-4764	96	4	1	1	NUM
ejpam-4764	96	5	0	0	NUM
ejpam-4764	96	6	g	g	PROPN
ejpam-4764	96	7	(	(	PUNCT
ejpam-4764	96	8	x	x	X
ejpam-4764	96	9	,	,	PUNCT
ejpam-4764	96	10	ξ	ξ	X
ejpam-4764	96	11	)	)	PUNCT
ejpam-4764	96	12	1∑	1∑	PROPN
ejpam-4764	96	13	i=0	i=0	PROPN
ejpam-4764	96	14	ai	ai	VERB
ejpam-4764	96	15	(	(	PUNCT
ejpam-4764	96	16	ξ	ξ	NOUN
ejpam-4764	96	17	)	)	PUNCT
ejpam-4764	96	18	ỹ	ỹ	PROPN
ejpam-4764	96	19	(	(	PUNCT
ejpam-4764	96	20	i	i	NOUN
ejpam-4764	96	21	)	)	PUNCT
ejpam-4764	96	22	1	1	NUM
ejpam-4764	96	23	(	(	PUNCT
ejpam-4764	96	24	ξ	ξ	PROPN
ejpam-4764	96	25	,	,	PUNCT
ejpam-4764	96	26	α	α	NOUN
ejpam-4764	96	27	)	)	PUNCT
ejpam-4764	96	28	dξ	dξ	VERB
ejpam-4764	97	1	+	+	PROPN
ejpam-4764	97	2	p	p	X
ejpam-4764	97	3	∫	∫	PROPN
ejpam-4764	97	4	1	1	NUM
ejpam-4764	97	5	0	0	NUM
ejpam-4764	97	6	g	g	PROPN
ejpam-4764	97	7	(	(	PUNCT
ejpam-4764	97	8	x	x	X
ejpam-4764	97	9	,	,	PUNCT
ejpam-4764	97	10	ξ	ξ	X
ejpam-4764	97	11	)	)	PUNCT
ejpam-4764	97	12	1∑	1∑	PROPN
ejpam-4764	97	13	i=0	i=0	PROPN
ejpam-4764	97	14	bi	bi	NOUN
ejpam-4764	97	15	(	(	PUNCT
ejpam-4764	97	16	ξ	ξ	NOUN
ejpam-4764	97	17	)	)	PUNCT
ejpam-4764	97	18	ỹ	ỹ	PROPN
ejpam-4764	97	19	(	(	PUNCT
ejpam-4764	97	20	i	i	NOUN
ejpam-4764	97	21	)	)	PUNCT
ejpam-4764	97	22	2	2	NUM
ejpam-4764	97	23	(	(	PUNCT
ejpam-4764	97	24	ξ	ξ	PROPN
ejpam-4764	97	25	,	,	PUNCT
ejpam-4764	97	26	α	α	NOUN
ejpam-4764	97	27	)	)	PUNCT
ejpam-4764	97	28	dξ	dξ	VERB
ejpam-4764	98	1	+	+	PROPN
ejpam-4764	98	2	p	p	X
ejpam-4764	98	3	∫	∫	PROPN
ejpam-4764	98	4	1	1	NUM
ejpam-4764	98	5	0	0	NUM
ejpam-4764	98	6	g	g	PROPN
ejpam-4764	98	7	(	(	PUNCT
ejpam-4764	98	8	x	x	X
ejpam-4764	98	9	,	,	PUNCT
ejpam-4764	98	10	ξ)n1	ξ)n1	PROPN
ejpam-4764	99	1	[	[	PUNCT
ejpam-4764	99	2	ỹ1	ỹ1	X
ejpam-4764	99	3	(	(	PUNCT
ejpam-4764	99	4	ξ	ξ	PROPN
ejpam-4764	99	5	,	,	PUNCT
ejpam-4764	99	6	α	α	NOUN
ejpam-4764	99	7	)	)	PUNCT
ejpam-4764	99	8	,	,	PUNCT
ejpam-4764	99	9	ỹ2	ỹ2	PROPN
ejpam-4764	99	10	(	(	PUNCT
ejpam-4764	99	11	ξ	ξ	PROPN
ejpam-4764	99	12	,	,	PUNCT
ejpam-4764	99	13	α	α	NOUN
ejpam-4764	99	14	)	)	PUNCT
ejpam-4764	99	15	]	]	PUNCT
ejpam-4764	99	16	dξ	dξ	PROPN
ejpam-4764	99	17	,	,	PUNCT
ejpam-4764	99	18	ỹ2	ỹ2	PROPN
ejpam-4764	99	19	(	(	PUNCT
ejpam-4764	99	20	x	x	NOUN
ejpam-4764	99	21	,	,	PUNCT
ejpam-4764	99	22	α	α	NOUN
ejpam-4764	99	23	)	)	PUNCT
ejpam-4764	99	24	=	=	SYM
ejpam-4764	100	1	h̃2	h̃2	PROPN
ejpam-4764	100	2	(	(	PUNCT
ejpam-4764	100	3	x	x	X
ejpam-4764	100	4	,	,	PUNCT
ejpam-4764	100	5	α)−	α)−	VERB
ejpam-4764	100	6	∫	∫	PROPN
ejpam-4764	100	7	1	1	NUM
ejpam-4764	100	8	0	0	NUM
ejpam-4764	100	9	g	g	PROPN
ejpam-4764	100	10	(	(	PUNCT
ejpam-4764	100	11	x	x	X
ejpam-4764	100	12	,	,	PUNCT
ejpam-4764	100	13	ξ	ξ	NOUN
ejpam-4764	100	14	)	)	PUNCT
ejpam-4764	100	15	f̃2	f̃2	PROPN
ejpam-4764	100	16	(	(	PUNCT
ejpam-4764	100	17	ξ	ξ	PROPN
ejpam-4764	100	18	,	,	PUNCT
ejpam-4764	100	19	α	α	NOUN
ejpam-4764	100	20	)	)	PUNCT
ejpam-4764	100	21	dξ	dξ	VERB
ejpam-4764	101	1	+	+	PROPN
ejpam-4764	101	2	p	p	X
ejpam-4764	101	3	∫	∫	PROPN
ejpam-4764	101	4	1	1	NUM
ejpam-4764	101	5	0	0	NUM
ejpam-4764	101	6	g	g	PROPN
ejpam-4764	101	7	(	(	PUNCT
ejpam-4764	101	8	x	x	X
ejpam-4764	101	9	,	,	PUNCT
ejpam-4764	101	10	ξ	ξ	X
ejpam-4764	101	11	)	)	PUNCT
ejpam-4764	101	12	1∑	1∑	PROPN
ejpam-4764	101	13	i=0	i=0	PROPN
ejpam-4764	101	14	ci	ci	PROPN
ejpam-4764	101	15	(	(	PUNCT
ejpam-4764	101	16	ξ	ξ	NOUN
ejpam-4764	101	17	)	)	PUNCT
ejpam-4764	101	18	ỹ	ỹ	PROPN
ejpam-4764	101	19	(	(	PUNCT
ejpam-4764	101	20	i	i	NOUN
ejpam-4764	101	21	)	)	PUNCT
ejpam-4764	101	22	2	2	NUM
ejpam-4764	101	23	(	(	PUNCT
ejpam-4764	101	24	ξ	ξ	PROPN
ejpam-4764	101	25	,	,	PUNCT
ejpam-4764	101	26	α	α	NOUN
ejpam-4764	101	27	)	)	PUNCT
ejpam-4764	101	28	dξ	dξ	PROPN
ejpam-4764	101	29	,	,	PUNCT
ejpam-4764	101	30	+	+	PROPN
ejpam-4764	101	31	p	p	X
ejpam-4764	101	32	∫	∫	PROPN
ejpam-4764	101	33	1	1	NUM
ejpam-4764	101	34	0	0	NUM
ejpam-4764	101	35	g	g	PROPN
ejpam-4764	101	36	(	(	PUNCT
ejpam-4764	101	37	x	x	X
ejpam-4764	101	38	,	,	PUNCT
ejpam-4764	101	39	ξ	ξ	X
ejpam-4764	101	40	)	)	PUNCT
ejpam-4764	101	41	1∑	1∑	PROPN
ejpam-4764	101	42	i=0	i=0	PROPN
ejpam-4764	101	43	di	di	X
ejpam-4764	101	44	(	(	PUNCT
ejpam-4764	101	45	ξ	ξ	NOUN
ejpam-4764	101	46	)	)	PUNCT
ejpam-4764	101	47	ỹ	ỹ	PROPN
ejpam-4764	101	48	(	(	PUNCT
ejpam-4764	101	49	i	i	NOUN
ejpam-4764	101	50	)	)	PUNCT
ejpam-4764	101	51	1	1	NUM
ejpam-4764	101	52	(	(	PUNCT
ejpam-4764	101	53	ξ	ξ	PROPN
ejpam-4764	101	54	,	,	PUNCT
ejpam-4764	101	55	α	α	NOUN
ejpam-4764	101	56	)	)	PUNCT
ejpam-4764	101	57	dξ	dξ	VERB
ejpam-4764	102	1	+	+	PROPN
ejpam-4764	102	2	p	p	X
ejpam-4764	102	3	∫	∫	PROPN
ejpam-4764	102	4	1	1	NUM
ejpam-4764	102	5	0	0	NUM
ejpam-4764	102	6	g	g	PROPN
ejpam-4764	102	7	(	(	PUNCT
ejpam-4764	102	8	x	x	PROPN
ejpam-4764	102	9	,	,	PUNCT
ejpam-4764	102	10	ξ)n2	ξ)n2	PROPN
ejpam-4764	103	1	[	[	X
ejpam-4764	103	2	ỹ1	ỹ1	PROPN
ejpam-4764	103	3	(	(	PUNCT
ejpam-4764	103	4	ξ	ξ	PROPN
ejpam-4764	103	5	,	,	PUNCT
ejpam-4764	103	6	α	α	NOUN
ejpam-4764	103	7	)	)	PUNCT
ejpam-4764	103	8	,	,	PUNCT
ejpam-4764	103	9	ỹ2	ỹ2	PROPN
ejpam-4764	103	10	(	(	PUNCT
ejpam-4764	103	11	ξ	ξ	PROPN
ejpam-4764	103	12	,	,	PUNCT
ejpam-4764	103	13	α	α	NOUN
ejpam-4764	103	14	)	)	PUNCT
ejpam-4764	103	15	]	]	PUNCT
ejpam-4764	103	16	dξ	dξ	PROPN
ejpam-4764	103	17	,	,	PUNCT
ejpam-4764	103	18	(	(	PUNCT
ejpam-4764	103	19	18	18	NUM
ejpam-4764	103	20	)	)	PUNCT
ejpam-4764	103	21	where	where	SCONJ
ejpam-4764	103	22	h̃i	h̃i	ADV
ejpam-4764	103	23	(	(	PUNCT
ejpam-4764	103	24	x	x	NOUN
ejpam-4764	103	25	,	,	PUNCT
ejpam-4764	103	26	α	α	NOUN
ejpam-4764	103	27	)	)	PUNCT
ejpam-4764	103	28	is	be	AUX
ejpam-4764	103	29	the	the	DET
ejpam-4764	103	30	solution	solution	NOUN
ejpam-4764	103	31	of	of	ADP
ejpam-4764	103	32	y′′i	y′′i	PROPN
ejpam-4764	103	33	(	(	PUNCT
ejpam-4764	103	34	x	x	X
ejpam-4764	103	35	,	,	PUNCT
ejpam-4764	103	36	α	α	NOUN
ejpam-4764	103	37	)	)	PUNCT
ejpam-4764	103	38	=	=	SYM
ejpam-4764	103	39	0	0	NUM
ejpam-4764	103	40	,	,	PUNCT
ejpam-4764	103	41	i	i	PRON
ejpam-4764	103	42	=	=	NOUN
ejpam-4764	103	43	1	1	NUM
ejpam-4764	103	44	,	,	PUNCT
ejpam-4764	103	45	2	2	NUM
ejpam-4764	103	46	with	with	ADP
ejpam-4764	103	47	the	the	DET
ejpam-4764	103	48	boundary	boundary	ADJ
ejpam-4764	103	49	conditions	condition	NOUN
ejpam-4764	103	50	(	(	PUNCT
ejpam-4764	103	51	2	2	NUM
ejpam-4764	103	52	)	)	PUNCT
ejpam-4764	103	53	.	.	PUNCT
ejpam-4764	104	1	w.	w.	PROPN
ejpam-4764	104	2	al	al	PROPN
ejpam-4764	104	3	-	-	PUNCT
ejpam-4764	104	4	hayani	hayani	PROPN
ejpam-4764	104	5	,	,	PUNCT
ejpam-4764	104	6	m	m	VERB
ejpam-4764	104	7	t.	t.	NOUN
ejpam-4764	104	8	younis	younis	PROPN
ejpam-4764	104	9	/	/	SYM
ejpam-4764	104	10	eur	eur	PROPN
ejpam-4764	104	11	.	.	PUNCT
ejpam-4764	105	1	j.	j.	PROPN
ejpam-4764	105	2	pure	pure	PROPN
ejpam-4764	105	3	appl	appl	PROPN
ejpam-4764	105	4	.	.	PROPN
ejpam-4764	105	5	math	math	PROPN
ejpam-4764	105	6	,	,	PUNCT
ejpam-4764	105	7	16	16	NUM
ejpam-4764	105	8	(	(	PUNCT
ejpam-4764	105	9	2	2	NUM
ejpam-4764	105	10	)	)	PUNCT
ejpam-4764	105	11	(	(	PUNCT
ejpam-4764	105	12	2023	2023	NUM
ejpam-4764	105	13	)	)	PUNCT
ejpam-4764	105	14	,	,	PUNCT
ejpam-4764	105	15	1236	1236	NUM
ejpam-4764	105	16	-	-	SYM
ejpam-4764	105	17	1259	1259	NUM
ejpam-4764	105	18	1241	1241	NUM
ejpam-4764	105	19	substituting	substitute	VERB
ejpam-4764	105	20	eqs	eqs	PROPN
ejpam-4764	105	21	.	.	PROPN
ejpam-4764	105	22	10	10	NUM
ejpam-4764	105	23	and	and	CCONJ
ejpam-4764	105	24	11	11	NUM
ejpam-4764	105	25	into	into	ADP
ejpam-4764	105	26	equation	equation	NOUN
ejpam-4764	105	27	18	18	NUM
ejpam-4764	105	28	,	,	PUNCT
ejpam-4764	105	29	we	we	PRON
ejpam-4764	105	30	obtain	obtain	VERB
ejpam-4764	105	31	∞∑	∞∑	NUM
ejpam-4764	105	32	n=0	n=0	NUM
ejpam-4764	105	33	pnỹ1,n	pnỹ1,n	NOUN
ejpam-4764	105	34	(	(	PUNCT
ejpam-4764	105	35	x	x	X
ejpam-4764	105	36	,	,	PUNCT
ejpam-4764	105	37	α	α	NOUN
ejpam-4764	105	38	)	)	PUNCT
ejpam-4764	106	1	=	=	SYM
ejpam-4764	106	2	h̃1	h̃1	PROPN
ejpam-4764	106	3	(	(	PUNCT
ejpam-4764	106	4	x	x	X
ejpam-4764	106	5	,	,	PUNCT
ejpam-4764	106	6	α)−	α)−	VERB
ejpam-4764	106	7	∫	∫	PROPN
ejpam-4764	106	8	1	1	NUM
ejpam-4764	106	9	0	0	NUM
ejpam-4764	106	10	g	g	PROPN
ejpam-4764	106	11	(	(	PUNCT
ejpam-4764	106	12	x	x	X
ejpam-4764	106	13	,	,	PUNCT
ejpam-4764	106	14	ξ	ξ	NOUN
ejpam-4764	106	15	)	)	PUNCT
ejpam-4764	106	16	f̃1	f̃1	PROPN
ejpam-4764	106	17	(	(	PUNCT
ejpam-4764	106	18	ξ	ξ	PROPN
ejpam-4764	106	19	,	,	PUNCT
ejpam-4764	106	20	α	α	NOUN
ejpam-4764	106	21	)	)	PUNCT
ejpam-4764	106	22	dξ	dξ	VERB
ejpam-4764	107	1	+	+	PROPN
ejpam-4764	107	2	p	p	X
ejpam-4764	107	3	∫	∫	PROPN
ejpam-4764	107	4	1	1	NUM
ejpam-4764	107	5	0	0	NUM
ejpam-4764	107	6	g	g	PROPN
ejpam-4764	107	7	(	(	PUNCT
ejpam-4764	107	8	x	x	X
ejpam-4764	107	9	,	,	PUNCT
ejpam-4764	107	10	ξ	ξ	X
ejpam-4764	107	11	)	)	PUNCT
ejpam-4764	107	12	1∑	1∑	PROPN
ejpam-4764	107	13	i=0	i=0	PROPN
ejpam-4764	107	14	ai	ai	VERB
ejpam-4764	107	15	(	(	PUNCT
ejpam-4764	107	16	ξ	ξ	NOUN
ejpam-4764	107	17	)	)	PUNCT
ejpam-4764	107	18	∞∑	∞∑	PRON
ejpam-4764	107	19	n=0	n=0	NUM
ejpam-4764	107	20	pnỹ	pnỹ	NOUN
ejpam-4764	107	21	(	(	PUNCT
ejpam-4764	107	22	i	i	NOUN
ejpam-4764	107	23	)	)	PUNCT
ejpam-4764	107	24	1,n	1,n	PROPN
ejpam-4764	107	25	(	(	PUNCT
ejpam-4764	107	26	ξ	ξ	PROPN
ejpam-4764	107	27	,	,	PUNCT
ejpam-4764	107	28	α	α	NOUN
ejpam-4764	107	29	)	)	PUNCT
ejpam-4764	107	30	dξ	dξ	VERB
ejpam-4764	108	1	+	+	PROPN
ejpam-4764	108	2	p	p	X
ejpam-4764	108	3	∫	∫	PROPN
ejpam-4764	108	4	1	1	NUM
ejpam-4764	108	5	0	0	NUM
ejpam-4764	108	6	g	g	PROPN
ejpam-4764	108	7	(	(	PUNCT
ejpam-4764	108	8	x	x	X
ejpam-4764	108	9	,	,	PUNCT
ejpam-4764	108	10	ξ	ξ	X
ejpam-4764	108	11	)	)	PUNCT
ejpam-4764	108	12	1∑	1∑	PROPN
ejpam-4764	108	13	i=0	i=0	PROPN
ejpam-4764	108	14	bi	bi	NOUN
ejpam-4764	108	15	(	(	PUNCT
ejpam-4764	108	16	ξ	ξ	NOUN
ejpam-4764	108	17	)	)	PUNCT
ejpam-4764	108	18	∞∑	∞∑	PRON
ejpam-4764	108	19	n=0	n=0	NUM
ejpam-4764	108	20	pnỹ	pnỹ	NOUN
ejpam-4764	108	21	(	(	PUNCT
ejpam-4764	108	22	i	i	NOUN
ejpam-4764	108	23	)	)	PUNCT
ejpam-4764	108	24	2,n	2,n	NUM
ejpam-4764	108	25	(	(	PUNCT
ejpam-4764	108	26	ξ	ξ	PROPN
ejpam-4764	108	27	,	,	PUNCT
ejpam-4764	108	28	α	α	NOUN
ejpam-4764	108	29	)	)	PUNCT
ejpam-4764	108	30	dξ	dξ	VERB
ejpam-4764	109	1	+	+	PROPN
ejpam-4764	109	2	p	p	X
ejpam-4764	109	3	∫	∫	PROPN
ejpam-4764	109	4	1	1	NUM
ejpam-4764	109	5	0	0	NUM
ejpam-4764	109	6	g	g	PROPN
ejpam-4764	109	7	(	(	PUNCT
ejpam-4764	109	8	x	x	X
ejpam-4764	109	9	,	,	PUNCT
ejpam-4764	109	10	ξ	ξ	X
ejpam-4764	109	11	)	)	PUNCT
ejpam-4764	110	1	∞∑	∞∑	PRON
ejpam-4764	110	2	n=0	n=0	NUM
ejpam-4764	110	3	pnh̃1,ndξ	pnh̃1,ndξ	ADJ
ejpam-4764	110	4	ỹ2	ỹ2	PROPN
ejpam-4764	110	5	(	(	PUNCT
ejpam-4764	110	6	x	x	NOUN
ejpam-4764	110	7	,	,	PUNCT
ejpam-4764	110	8	α	α	NOUN
ejpam-4764	110	9	)	)	PUNCT
ejpam-4764	110	10	=	=	SYM
ejpam-4764	111	1	h̃2	h̃2	PROPN
ejpam-4764	111	2	(	(	PUNCT
ejpam-4764	111	3	x	x	X
ejpam-4764	111	4	,	,	PUNCT
ejpam-4764	111	5	α)−	α)−	VERB
ejpam-4764	111	6	∫	∫	PROPN
ejpam-4764	111	7	1	1	NUM
ejpam-4764	111	8	0	0	NUM
ejpam-4764	111	9	g	g	PROPN
ejpam-4764	111	10	(	(	PUNCT
ejpam-4764	111	11	x	x	X
ejpam-4764	111	12	,	,	PUNCT
ejpam-4764	111	13	ξ	ξ	NOUN
ejpam-4764	111	14	)	)	PUNCT
ejpam-4764	111	15	f̃2	f̃2	PROPN
ejpam-4764	111	16	(	(	PUNCT
ejpam-4764	111	17	ξ	ξ	PROPN
ejpam-4764	111	18	,	,	PUNCT
ejpam-4764	111	19	α	α	NOUN
ejpam-4764	111	20	)	)	PUNCT
ejpam-4764	111	21	dξ	dξ	VERB
ejpam-4764	112	1	+	+	PROPN
ejpam-4764	112	2	p	p	X
ejpam-4764	112	3	∫	∫	PROPN
ejpam-4764	112	4	1	1	NUM
ejpam-4764	112	5	0	0	NUM
ejpam-4764	112	6	g	g	PROPN
ejpam-4764	112	7	(	(	PUNCT
ejpam-4764	112	8	x	x	X
ejpam-4764	112	9	,	,	PUNCT
ejpam-4764	112	10	ξ	ξ	X
ejpam-4764	112	11	)	)	PUNCT
ejpam-4764	112	12	1∑	1∑	PROPN
ejpam-4764	112	13	i=0	i=0	PROPN
ejpam-4764	112	14	ci	ci	PROPN
ejpam-4764	112	15	(	(	PUNCT
ejpam-4764	112	16	ξ	ξ	NOUN
ejpam-4764	112	17	)	)	PUNCT
ejpam-4764	112	18	∞∑	∞∑	PRON
ejpam-4764	112	19	n=0	n=0	NUM
ejpam-4764	112	20	pnỹ	pnỹ	NOUN
ejpam-4764	112	21	(	(	PUNCT
ejpam-4764	112	22	i	i	NOUN
ejpam-4764	112	23	)	)	PUNCT
ejpam-4764	112	24	2,n	2,n	NUM
ejpam-4764	112	25	(	(	PUNCT
ejpam-4764	112	26	ξ	ξ	PROPN
ejpam-4764	112	27	,	,	PUNCT
ejpam-4764	112	28	α	α	NOUN
ejpam-4764	112	29	)	)	PUNCT
ejpam-4764	112	30	dξ	dξ	PROPN
ejpam-4764	112	31	,	,	PUNCT
ejpam-4764	112	32	+	+	PROPN
ejpam-4764	112	33	p	p	X
ejpam-4764	112	34	∫	∫	PROPN
ejpam-4764	112	35	1	1	NUM
ejpam-4764	112	36	0	0	NUM
ejpam-4764	112	37	g	g	PROPN
ejpam-4764	112	38	(	(	PUNCT
ejpam-4764	112	39	x	x	X
ejpam-4764	112	40	,	,	PUNCT
ejpam-4764	112	41	ξ	ξ	X
ejpam-4764	112	42	)	)	PUNCT
ejpam-4764	112	43	1∑	1∑	PROPN
ejpam-4764	112	44	i=0	i=0	PROPN
ejpam-4764	112	45	di	di	X
ejpam-4764	112	46	(	(	PUNCT
ejpam-4764	112	47	ξ	ξ	NOUN
ejpam-4764	112	48	)	)	PUNCT
ejpam-4764	112	49	∞∑	∞∑	PRON
ejpam-4764	112	50	n=0	n=0	NUM
ejpam-4764	112	51	pnỹ	pnỹ	NOUN
ejpam-4764	112	52	(	(	PUNCT
ejpam-4764	112	53	i	i	NOUN
ejpam-4764	112	54	)	)	PUNCT
ejpam-4764	112	55	1,n	1,n	PROPN
ejpam-4764	112	56	(	(	PUNCT
ejpam-4764	112	57	ξ	ξ	PROPN
ejpam-4764	112	58	,	,	PUNCT
ejpam-4764	112	59	α	α	NOUN
ejpam-4764	112	60	)	)	PUNCT
ejpam-4764	112	61	dξ	dξ	VERB
ejpam-4764	113	1	+	+	PROPN
ejpam-4764	113	2	p	p	X
ejpam-4764	113	3	∫	∫	PROPN
ejpam-4764	113	4	1	1	NUM
ejpam-4764	113	5	0	0	NUM
ejpam-4764	113	6	g	g	PROPN
ejpam-4764	113	7	(	(	PUNCT
ejpam-4764	113	8	x	x	X
ejpam-4764	113	9	,	,	PUNCT
ejpam-4764	113	10	ξ	ξ	X
ejpam-4764	113	11	)	)	PUNCT
ejpam-4764	113	12	∞∑	∞∑	PROPN
ejpam-4764	113	13	n=0	n=0	NUM
ejpam-4764	113	14	pnh̃2,ndξ	pnh̃2,ndξ	PROPN
ejpam-4764	113	15	.	.	PUNCT
ejpam-4764	114	1	(	(	PUNCT
ejpam-4764	114	2	19	19	NUM
ejpam-4764	114	3	)	)	PUNCT
ejpam-4764	114	4	using	use	VERB
ejpam-4764	114	5	the	the	DET
ejpam-4764	114	6	fuzzy	fuzzy	ADJ
ejpam-4764	114	7	hpm	hpm	NOUN
ejpam-4764	114	8	,	,	PUNCT
ejpam-4764	114	9	according	accord	VERB
ejpam-4764	114	10	to	to	ADP
ejpam-4764	114	11	equation	equation	NOUN
ejpam-4764	114	12	19	19	NUM
ejpam-4764	114	13	,	,	PUNCT
ejpam-4764	114	14	the	the	DET
ejpam-4764	114	15	lower	low	ADJ
ejpam-4764	114	16	iterations	iteration	NOUN
ejpam-4764	114	17	(	(	PUNCT
ejpam-4764	114	18	l	l	NOUN
ejpam-4764	114	19	)	)	PUNCT
ejpam-4764	114	20	are	be	AUX
ejpam-4764	114	21	then	then	ADV
ejpam-4764	114	22	determined	determined	ADJ
ejpam-4764	114	23	in	in	ADP
ejpam-4764	114	24	the	the	DET
ejpam-4764	114	25	following	follow	VERB
ejpam-4764	114	26	recursive	recursive	ADJ
ejpam-4764	114	27	way	way	NOUN
ejpam-4764	114	28	:	:	PUNCT
ejpam-4764	114	29	p0	p0	NOUN
ejpam-4764	114	30	:	:	PUNCT
ejpam-4764	114	31			PUNCT
ejpam-4764	114	32	y	y	PROPN
ejpam-4764	114	33	1,0	1,0	NUM
ejpam-4764	114	34	(	(	PUNCT
ejpam-4764	114	35	x	x	NOUN
ejpam-4764	114	36	,	,	PUNCT
ejpam-4764	114	37	α	α	NOUN
ejpam-4764	114	38	)	)	PUNCT
ejpam-4764	115	1	=	=	SYM
ejpam-4764	115	2	h1	h1	ADJ
ejpam-4764	115	3	(	(	PUNCT
ejpam-4764	115	4	x	x	NOUN
ejpam-4764	115	5	,	,	PUNCT
ejpam-4764	115	6	α)−	α)−	VERB
ejpam-4764	115	7	∫	∫	PROPN
ejpam-4764	115	8	1	1	NUM
ejpam-4764	115	9	0	0	NUM
ejpam-4764	115	10	g	g	PROPN
ejpam-4764	115	11	(	(	PUNCT
ejpam-4764	115	12	x	x	X
ejpam-4764	115	13	,	,	PUNCT
ejpam-4764	115	14	ξ	ξ	PROPN
ejpam-4764	115	15	)	)	PUNCT
ejpam-4764	115	16	f	f	NOUN
ejpam-4764	115	17	1	1	NUM
ejpam-4764	115	18	(	(	PUNCT
ejpam-4764	115	19	ξ	ξ	PROPN
ejpam-4764	115	20	,	,	PUNCT
ejpam-4764	115	21	α	α	NOUN
ejpam-4764	115	22	)	)	PUNCT
ejpam-4764	115	23	dξ	dξ	PROPN
ejpam-4764	115	24	,	,	PUNCT
ejpam-4764	115	25	y	y	PROPN
ejpam-4764	115	26	2,0	2,0	NUM
ejpam-4764	115	27	(	(	PUNCT
ejpam-4764	115	28	x	x	NOUN
ejpam-4764	115	29	,	,	PUNCT
ejpam-4764	115	30	α	α	NOUN
ejpam-4764	115	31	)	)	PUNCT
ejpam-4764	115	32	=	=	SYM
ejpam-4764	115	33	h2	h2	NOUN
ejpam-4764	115	34	(	(	PUNCT
ejpam-4764	115	35	x	x	X
ejpam-4764	115	36	,	,	PUNCT
ejpam-4764	115	37	α)−	α)−	VERB
ejpam-4764	115	38	∫	∫	PROPN
ejpam-4764	115	39	1	1	NUM
ejpam-4764	115	40	0	0	NUM
ejpam-4764	115	41	g	g	PROPN
ejpam-4764	115	42	(	(	PUNCT
ejpam-4764	115	43	x	x	X
ejpam-4764	115	44	,	,	PUNCT
ejpam-4764	115	45	ξ	ξ	PROPN
ejpam-4764	115	46	)	)	PUNCT
ejpam-4764	115	47	f	f	PROPN
ejpam-4764	115	48	2	2	NUM
ejpam-4764	115	49	(	(	PUNCT
ejpam-4764	115	50	ξ	ξ	PROPN
ejpam-4764	115	51	,	,	PUNCT
ejpam-4764	115	52	α	α	NOUN
ejpam-4764	115	53	)	)	PUNCT
ejpam-4764	115	54	dξ	dξ	PROPN
ejpam-4764	115	55	,	,	PUNCT
ejpam-4764	115	56	pn	pn	X
ejpam-4764	115	57	:	:	PUNCT
ejpam-4764	115	58			PROPN
ejpam-4764	115	59	y	y	PROPN
ejpam-4764	115	60	1,n+1	1,n+1	INTJ
ejpam-4764	115	61	(	(	PUNCT
ejpam-4764	115	62	x	x	NOUN
ejpam-4764	115	63	,	,	PUNCT
ejpam-4764	115	64	α	α	NOUN
ejpam-4764	115	65	)	)	PUNCT
ejpam-4764	115	66	=	=	SYM
ejpam-4764	116	1	∫	∫	PROPN
ejpam-4764	116	2	1	1	NUM
ejpam-4764	116	3	0	0	NUM
ejpam-4764	116	4	g	g	PROPN
ejpam-4764	116	5	(	(	PUNCT
ejpam-4764	116	6	x	x	X
ejpam-4764	116	7	,	,	PUNCT
ejpam-4764	116	8	ξ	ξ	X
ejpam-4764	116	9	)	)	PUNCT
ejpam-4764	116	10	1∑	1∑	PROPN
ejpam-4764	116	11	i=0	i=0	PROPN
ejpam-4764	116	12	ai	ai	VERB
ejpam-4764	116	13	(	(	PUNCT
ejpam-4764	116	14	ξ	ξ	NOUN
ejpam-4764	116	15	)	)	PUNCT
ejpam-4764	116	16	y	y	PROPN
ejpam-4764	116	17	(	(	PUNCT
ejpam-4764	116	18	i	i	NOUN
ejpam-4764	116	19	)	)	PUNCT
ejpam-4764	116	20	1,n	1,n	PROPN
ejpam-4764	117	1	(	(	PUNCT
ejpam-4764	117	2	ξ	ξ	PROPN
ejpam-4764	117	3	,	,	PUNCT
ejpam-4764	117	4	α	α	NOUN
ejpam-4764	117	5	)	)	PUNCT
ejpam-4764	117	6	dξ	dξ	PROPN
ejpam-4764	117	7	,	,	PUNCT
ejpam-4764	117	8	+	+	CCONJ
ejpam-4764	117	9	∫	∫	PROPN
ejpam-4764	118	1	1	1	NUM
ejpam-4764	118	2	0	0	NUM
ejpam-4764	118	3	g	g	PROPN
ejpam-4764	118	4	(	(	PUNCT
ejpam-4764	118	5	x	x	X
ejpam-4764	118	6	,	,	PUNCT
ejpam-4764	118	7	ξ	ξ	NOUN
ejpam-4764	118	8	)	)	PUNCT
ejpam-4764	118	9	[	[	PUNCT
ejpam-4764	118	10	1∑	1∑	NUM
ejpam-4764	118	11	i=0	i=0	PROPN
ejpam-4764	118	12	bi	bi	NOUN
ejpam-4764	118	13	(	(	PUNCT
ejpam-4764	118	14	ξ	ξ	PROPN
ejpam-4764	118	15	)	)	PUNCT
ejpam-4764	118	16	y	y	PROPN
ejpam-4764	118	17	(	(	PUNCT
ejpam-4764	118	18	i	i	NOUN
ejpam-4764	118	19	)	)	PUNCT
ejpam-4764	118	20	2,n	2,n	NUM
ejpam-4764	118	21	(	(	PUNCT
ejpam-4764	118	22	ξ	ξ	PROPN
ejpam-4764	118	23	,	,	PUNCT
ejpam-4764	118	24	α	α	NOUN
ejpam-4764	118	25	)	)	PUNCT
ejpam-4764	119	1	+	+	PROPN
ejpam-4764	119	2	h1,n	h1,n	PROPN
ejpam-4764	119	3	]	]	PUNCT
ejpam-4764	119	4	dξ	dξ	PROPN
ejpam-4764	119	5	,	,	PUNCT
ejpam-4764	119	6	y	y	PROPN
ejpam-4764	119	7	2,n+1	2,n+1	NUM
ejpam-4764	119	8	(	(	PUNCT
ejpam-4764	119	9	x	x	NOUN
ejpam-4764	119	10	,	,	PUNCT
ejpam-4764	119	11	α	α	NOUN
ejpam-4764	119	12	)	)	PUNCT
ejpam-4764	119	13	=	=	SYM
ejpam-4764	120	1	∫	∫	PROPN
ejpam-4764	121	1	1	1	NUM
ejpam-4764	121	2	0	0	NUM
ejpam-4764	121	3	g	g	PROPN
ejpam-4764	121	4	(	(	PUNCT
ejpam-4764	121	5	x	x	X
ejpam-4764	121	6	,	,	PUNCT
ejpam-4764	121	7	ξ	ξ	X
ejpam-4764	121	8	)	)	PUNCT
ejpam-4764	121	9	1∑	1∑	PROPN
ejpam-4764	121	10	i=0	i=0	PROPN
ejpam-4764	121	11	ci	ci	PROPN
ejpam-4764	121	12	(	(	PUNCT
ejpam-4764	121	13	ξ	ξ	PROPN
ejpam-4764	121	14	)	)	PUNCT
ejpam-4764	121	15	y	y	PROPN
ejpam-4764	121	16	(	(	PUNCT
ejpam-4764	121	17	i	i	NOUN
ejpam-4764	121	18	)	)	PUNCT
ejpam-4764	121	19	2,n	2,n	NUM
ejpam-4764	121	20	(	(	PUNCT
ejpam-4764	121	21	ξ	ξ	PROPN
ejpam-4764	121	22	,	,	PUNCT
ejpam-4764	121	23	α	α	NOUN
ejpam-4764	121	24	)	)	PUNCT
ejpam-4764	121	25	dξ	dξ	PROPN
ejpam-4764	121	26	,	,	PUNCT
ejpam-4764	121	27	+	+	CCONJ
ejpam-4764	121	28	∫	∫	PROPN
ejpam-4764	121	29	1	1	NUM
ejpam-4764	121	30	0	0	NUM
ejpam-4764	121	31	g	g	PROPN
ejpam-4764	121	32	(	(	PUNCT
ejpam-4764	121	33	x	x	X
ejpam-4764	121	34	,	,	PUNCT
ejpam-4764	121	35	ξ	ξ	NOUN
ejpam-4764	121	36	)	)	PUNCT
ejpam-4764	121	37	[	[	PUNCT
ejpam-4764	121	38	1∑	1∑	PROPN
ejpam-4764	121	39	i=0	i=0	PROPN
ejpam-4764	121	40	di	di	X
ejpam-4764	121	41	(	(	PUNCT
ejpam-4764	121	42	ξ	ξ	PROPN
ejpam-4764	121	43	)	)	PUNCT
ejpam-4764	121	44	y	y	PROPN
ejpam-4764	121	45	(	(	PUNCT
ejpam-4764	121	46	i	i	NOUN
ejpam-4764	121	47	)	)	PUNCT
ejpam-4764	121	48	1,n	1,n	PROPN
ejpam-4764	121	49	(	(	PUNCT
ejpam-4764	121	50	ξ	ξ	PROPN
ejpam-4764	121	51	,	,	PUNCT
ejpam-4764	121	52	α	α	NOUN
ejpam-4764	121	53	)	)	PUNCT
ejpam-4764	121	54	+	+	NOUN
ejpam-4764	121	55	h2,n	h2,n	X
ejpam-4764	121	56	]	]	PUNCT
ejpam-4764	121	57	dξ	dξ	PROPN
ejpam-4764	121	58	,	,	PUNCT
ejpam-4764	121	59	,	,	PUNCT
ejpam-4764	121	60	n	n	X
ejpam-4764	121	61	≥	≥	NUM
ejpam-4764	121	62	1	1	NUM
ejpam-4764	121	63	(	(	PUNCT
ejpam-4764	121	64	20	20	NUM
ejpam-4764	121	65	)	)	PUNCT
ejpam-4764	121	66	w.	w.	PROPN
ejpam-4764	121	67	al	al	PROPN
ejpam-4764	121	68	-	-	PUNCT
ejpam-4764	121	69	hayani	hayani	PROPN
ejpam-4764	121	70	,	,	PUNCT
ejpam-4764	121	71	m	m	VERB
ejpam-4764	121	72	t.	t.	NOUN
ejpam-4764	121	73	younis	younis	PROPN
ejpam-4764	121	74	/	/	SYM
ejpam-4764	121	75	eur	eur	PROPN
ejpam-4764	121	76	.	.	PUNCT
ejpam-4764	122	1	j.	j.	PROPN
ejpam-4764	122	2	pure	pure	PROPN
ejpam-4764	122	3	appl	appl	PROPN
ejpam-4764	122	4	.	.	PROPN
ejpam-4764	122	5	math	math	PROPN
ejpam-4764	122	6	,	,	PUNCT
ejpam-4764	122	7	16	16	NUM
ejpam-4764	122	8	(	(	PUNCT
ejpam-4764	122	9	2	2	NUM
ejpam-4764	122	10	)	)	PUNCT
ejpam-4764	122	11	(	(	PUNCT
ejpam-4764	122	12	2023	2023	NUM
ejpam-4764	122	13	)	)	PUNCT
ejpam-4764	122	14	,	,	PUNCT
ejpam-4764	122	15	1236	1236	NUM
ejpam-4764	122	16	-	-	SYM
ejpam-4764	122	17	1259	1259	NUM
ejpam-4764	122	18	1242	1242	NUM
ejpam-4764	122	19	and	and	CCONJ
ejpam-4764	122	20	the	the	DET
ejpam-4764	122	21	upper	upper	ADJ
ejpam-4764	122	22	iterations	iteration	NOUN
ejpam-4764	122	23	(	(	PUNCT
ejpam-4764	122	24	u	u	NOUN
ejpam-4764	122	25	)	)	PUNCT
ejpam-4764	122	26	are	be	AUX
ejpam-4764	122	27	p0	p0	NOUN
ejpam-4764	122	28	:	:	PUNCT
ejpam-4764	122	29	{	{	PUNCT
ejpam-4764	122	30	y1,0	y1,0	PROPN
ejpam-4764	122	31	(	(	PUNCT
ejpam-4764	122	32	x	x	NOUN
ejpam-4764	122	33	,	,	PUNCT
ejpam-4764	122	34	α	α	NOUN
ejpam-4764	122	35	)	)	PUNCT
ejpam-4764	122	36	=	=	SYM
ejpam-4764	122	37	h1	h1	ADJ
ejpam-4764	122	38	(	(	PUNCT
ejpam-4764	122	39	x	x	NOUN
ejpam-4764	122	40	,	,	PUNCT
ejpam-4764	122	41	α)−	α)−	VERB
ejpam-4764	122	42	∫	∫	PROPN
ejpam-4764	122	43	1	1	NUM
ejpam-4764	122	44	0	0	NUM
ejpam-4764	122	45	g	g	PROPN
ejpam-4764	122	46	(	(	PUNCT
ejpam-4764	122	47	x	x	NOUN
ejpam-4764	122	48	,	,	PUNCT
ejpam-4764	122	49	ξ	ξ	NOUN
ejpam-4764	122	50	)	)	PUNCT
ejpam-4764	122	51	f1	f1	NOUN
ejpam-4764	122	52	(	(	PUNCT
ejpam-4764	122	53	ξ	ξ	PROPN
ejpam-4764	122	54	,	,	PUNCT
ejpam-4764	122	55	α	α	NOUN
ejpam-4764	122	56	)	)	PUNCT
ejpam-4764	122	57	dξ	dξ	PROPN
ejpam-4764	122	58	,	,	PUNCT
ejpam-4764	122	59	y2,0	y2,0	PROPN
ejpam-4764	122	60	(	(	PUNCT
ejpam-4764	122	61	x	x	NOUN
ejpam-4764	122	62	,	,	PUNCT
ejpam-4764	122	63	α	α	NOUN
ejpam-4764	122	64	)	)	PUNCT
ejpam-4764	122	65	=	=	SYM
ejpam-4764	122	66	h2	h2	NOUN
ejpam-4764	122	67	(	(	PUNCT
ejpam-4764	122	68	x	x	X
ejpam-4764	122	69	,	,	PUNCT
ejpam-4764	122	70	α)−	α)−	VERB
ejpam-4764	122	71	∫	∫	PROPN
ejpam-4764	123	1	1	1	NUM
ejpam-4764	123	2	0	0	NUM
ejpam-4764	123	3	g	g	PROPN
ejpam-4764	123	4	(	(	PUNCT
ejpam-4764	123	5	x	x	X
ejpam-4764	123	6	,	,	PUNCT
ejpam-4764	123	7	ξ	ξ	X
ejpam-4764	123	8	)	)	PUNCT
ejpam-4764	123	9	f2	f2	PROPN
ejpam-4764	123	10	(	(	PUNCT
ejpam-4764	123	11	ξ	ξ	PROPN
ejpam-4764	123	12	,	,	PUNCT
ejpam-4764	123	13	α	α	NOUN
ejpam-4764	123	14	)	)	PUNCT
ejpam-4764	123	15	dξ	dξ	PROPN
ejpam-4764	123	16	,	,	PUNCT
ejpam-4764	123	17	pn	pn	X
ejpam-4764	123	18	:	:	PUNCT
ejpam-4764	123	19			PROPN
ejpam-4764	123	20	y1,n+1	y1,n+1	PROPN
ejpam-4764	123	21	(	(	PUNCT
ejpam-4764	123	22	x	x	PROPN
ejpam-4764	123	23	,	,	PUNCT
ejpam-4764	123	24	α	α	NOUN
ejpam-4764	123	25	)	)	PUNCT
ejpam-4764	123	26	=	=	SYM
ejpam-4764	123	27	∫	∫	PROPN
ejpam-4764	124	1	1	1	NUM
ejpam-4764	124	2	0	0	NUM
ejpam-4764	124	3	g	g	PROPN
ejpam-4764	124	4	(	(	PUNCT
ejpam-4764	124	5	x	x	X
ejpam-4764	124	6	,	,	PUNCT
ejpam-4764	124	7	ξ	ξ	X
ejpam-4764	124	8	)	)	PUNCT
ejpam-4764	124	9	1∑	1∑	PROPN
ejpam-4764	124	10	i=0	i=0	PROPN
ejpam-4764	124	11	ai	ai	VERB
ejpam-4764	124	12	(	(	PUNCT
ejpam-4764	124	13	ξ	ξ	NOUN
ejpam-4764	124	14	)	)	PUNCT
ejpam-4764	124	15	y	y	PROPN
ejpam-4764	124	16	(	(	PUNCT
ejpam-4764	124	17	i	i	NOUN
ejpam-4764	124	18	)	)	PUNCT
ejpam-4764	124	19	1,n	1,n	PROPN
ejpam-4764	124	20	(	(	PUNCT
ejpam-4764	124	21	ξ	ξ	PROPN
ejpam-4764	124	22	,	,	PUNCT
ejpam-4764	124	23	α	α	NOUN
ejpam-4764	124	24	)	)	PUNCT
ejpam-4764	124	25	dξ	dξ	PROPN
ejpam-4764	124	26	,	,	PUNCT
ejpam-4764	124	27	+	+	CCONJ
ejpam-4764	124	28	∫	∫	PROPN
ejpam-4764	124	29	1	1	NUM
ejpam-4764	124	30	0	0	NUM
ejpam-4764	124	31	g	g	PROPN
ejpam-4764	124	32	(	(	PUNCT
ejpam-4764	124	33	x	x	X
ejpam-4764	124	34	,	,	PUNCT
ejpam-4764	124	35	ξ	ξ	NOUN
ejpam-4764	124	36	)	)	PUNCT
ejpam-4764	124	37	[	[	PUNCT
ejpam-4764	124	38	1∑	1∑	NUM
ejpam-4764	124	39	i=0	i=0	PROPN
ejpam-4764	124	40	bi	bi	NOUN
ejpam-4764	124	41	(	(	PUNCT
ejpam-4764	124	42	ξ	ξ	PROPN
ejpam-4764	124	43	)	)	PUNCT
ejpam-4764	124	44	y	y	PROPN
ejpam-4764	124	45	(	(	PUNCT
ejpam-4764	124	46	i	i	NOUN
ejpam-4764	124	47	)	)	PUNCT
ejpam-4764	124	48	2,n	2,n	NUM
ejpam-4764	124	49	(	(	PUNCT
ejpam-4764	124	50	ξ	ξ	PROPN
ejpam-4764	124	51	,	,	PUNCT
ejpam-4764	124	52	α	α	NOUN
ejpam-4764	124	53	)	)	PUNCT
ejpam-4764	124	54	+	+	PROPN
ejpam-4764	124	55	h1,n	h1,n	PROPN
ejpam-4764	124	56	]	]	PUNCT
ejpam-4764	124	57	dξ	dξ	PROPN
ejpam-4764	124	58	,	,	PUNCT
ejpam-4764	124	59	y2,n+1	y2,n+1	PROPN
ejpam-4764	124	60	(	(	PUNCT
ejpam-4764	124	61	x	x	NOUN
ejpam-4764	124	62	,	,	PUNCT
ejpam-4764	124	63	α	α	NOUN
ejpam-4764	124	64	)	)	PUNCT
ejpam-4764	124	65	=	=	SYM
ejpam-4764	124	66	∫	∫	PROPN
ejpam-4764	125	1	1	1	NUM
ejpam-4764	125	2	0	0	NUM
ejpam-4764	125	3	g	g	PROPN
ejpam-4764	125	4	(	(	PUNCT
ejpam-4764	125	5	x	x	X
ejpam-4764	125	6	,	,	PUNCT
ejpam-4764	125	7	ξ	ξ	X
ejpam-4764	125	8	)	)	PUNCT
ejpam-4764	125	9	1∑	1∑	PROPN
ejpam-4764	125	10	i=0	i=0	PROPN
ejpam-4764	125	11	ci	ci	PROPN
ejpam-4764	125	12	(	(	PUNCT
ejpam-4764	125	13	ξ	ξ	PROPN
ejpam-4764	125	14	)	)	PUNCT
ejpam-4764	125	15	y	y	PROPN
ejpam-4764	125	16	(	(	PUNCT
ejpam-4764	125	17	i	i	NOUN
ejpam-4764	125	18	)	)	PUNCT
ejpam-4764	125	19	2,n	2,n	NUM
ejpam-4764	125	20	(	(	PUNCT
ejpam-4764	125	21	ξ	ξ	PROPN
ejpam-4764	125	22	,	,	PUNCT
ejpam-4764	125	23	α	α	NOUN
ejpam-4764	125	24	)	)	PUNCT
ejpam-4764	125	25	dξ	dξ	PROPN
ejpam-4764	125	26	,	,	PUNCT
ejpam-4764	125	27	+	+	CCONJ
ejpam-4764	125	28	∫	∫	PROPN
ejpam-4764	125	29	1	1	NUM
ejpam-4764	125	30	0	0	NUM
ejpam-4764	125	31	g	g	PROPN
ejpam-4764	125	32	(	(	PUNCT
ejpam-4764	125	33	x	x	X
ejpam-4764	125	34	,	,	PUNCT
ejpam-4764	125	35	ξ	ξ	NOUN
ejpam-4764	125	36	)	)	PUNCT
ejpam-4764	125	37	[	[	PUNCT
ejpam-4764	125	38	1∑	1∑	PROPN
ejpam-4764	125	39	i=0	i=0	PROPN
ejpam-4764	125	40	di	di	X
ejpam-4764	125	41	(	(	PUNCT
ejpam-4764	125	42	ξ	ξ	PROPN
ejpam-4764	125	43	)	)	PUNCT
ejpam-4764	125	44	y	y	PROPN
ejpam-4764	125	45	(	(	PUNCT
ejpam-4764	125	46	i	i	NOUN
ejpam-4764	125	47	)	)	PUNCT
ejpam-4764	125	48	1,n	1,n	PROPN
ejpam-4764	125	49	(	(	PUNCT
ejpam-4764	125	50	ξ	ξ	PROPN
ejpam-4764	125	51	,	,	PUNCT
ejpam-4764	125	52	α	α	NOUN
ejpam-4764	125	53	)	)	PUNCT
ejpam-4764	126	1	+	+	NOUN
ejpam-4764	126	2	h2,n	h2,n	X
ejpam-4764	126	3	]	]	X
ejpam-4764	126	4	dξ	dξ	PROPN
ejpam-4764	126	5	.	.	PROPN
ejpam-4764	126	6	,	,	PUNCT
ejpam-4764	126	7	n	n	X
ejpam-4764	126	8	≥	≥	NUM
ejpam-4764	126	9	1	1	NUM
ejpam-4764	126	10	(	(	PUNCT
ejpam-4764	126	11	21	21	NUM
ejpam-4764	126	12	)	)	PUNCT
ejpam-4764	126	13	by	by	ADP
ejpam-4764	126	14	solving	solve	VERB
ejpam-4764	126	15	the	the	DET
ejpam-4764	126	16	system	system	NOUN
ejpam-4764	126	17	(	(	PUNCT
ejpam-4764	126	18	20	20	NUM
ejpam-4764	126	19	)	)	PUNCT
ejpam-4764	126	20	and	and	CCONJ
ejpam-4764	126	21	(	(	PUNCT
ejpam-4764	126	22	21	21	NUM
ejpam-4764	126	23	)	)	PUNCT
ejpam-4764	126	24	,	,	PUNCT
ejpam-4764	126	25	we	we	PRON
ejpam-4764	126	26	obtain	obtain	VERB
ejpam-4764	126	27	the	the	DET
ejpam-4764	126	28	iterations	iteration	NOUN
ejpam-4764	126	29	ỹi,0	ỹi,0	X
ejpam-4764	126	30	(	(	PUNCT
ejpam-4764	126	31	x	x	NOUN
ejpam-4764	126	32	,	,	PUNCT
ejpam-4764	126	33	α	α	NOUN
ejpam-4764	126	34	)	)	PUNCT
ejpam-4764	126	35	,	,	PUNCT
ejpam-4764	126	36	ỹi,1	ỹi,1	PROPN
ejpam-4764	126	37	(	(	PUNCT
ejpam-4764	126	38	x	x	PROPN
ejpam-4764	126	39	,	,	PUNCT
ejpam-4764	126	40	α	α	NOUN
ejpam-4764	126	41	)	)	PUNCT
ejpam-4764	126	42	,	,	PUNCT
ejpam-4764	126	43	.	.	PUNCT
ejpam-4764	126	44	.	.	PUNCT
ejpam-4764	127	1	.	.	PUNCT
ejpam-4764	128	1	,	,	PUNCT
ejpam-4764	128	2	ỹi	ỹi	X
ejpam-4764	128	3	,	,	PUNCT
ejpam-4764	128	4	n	n	PRON
ejpam-4764	128	5	(	(	PUNCT
ejpam-4764	128	6	x	x	NOUN
ejpam-4764	128	7	,	,	PUNCT
ejpam-4764	128	8	α	α	NOUN
ejpam-4764	128	9	)	)	PUNCT
ejpam-4764	128	10	,	,	PUNCT
ejpam-4764	128	11	i	i	PRON
ejpam-4764	128	12	=	=	NOUN
ejpam-4764	128	13	1	1	NUM
ejpam-4764	128	14	,	,	PUNCT
ejpam-4764	128	15	2	2	NUM
ejpam-4764	128	16	.	.	PUNCT
ejpam-4764	129	1	thus	thus	ADV
ejpam-4764	129	2	,	,	PUNCT
ejpam-4764	129	3	the	the	DET
ejpam-4764	129	4	approximated	approximate	VERB
ejpam-4764	129	5	solution	solution	NOUN
ejpam-4764	129	6	in	in	ADP
ejpam-4764	129	7	a	a	DET
ejpam-4764	129	8	series	series	NOUN
ejpam-4764	129	9	form	form	NOUN
ejpam-4764	129	10	is	be	AUX
ejpam-4764	129	11	given	give	VERB
ejpam-4764	129	12	by	by	ADP
ejpam-4764	129	13	ỹi	ỹi	ADJ
ejpam-4764	129	14	(	(	PUNCT
ejpam-4764	129	15	x	x	NOUN
ejpam-4764	129	16	,	,	PUNCT
ejpam-4764	129	17	α	α	NOUN
ejpam-4764	129	18	)	)	PUNCT
ejpam-4764	129	19	=	=	SYM
ejpam-4764	129	20	lim	lim	PROPN
ejpam-4764	129	21	p→1	p→1	PROPN
ejpam-4764	129	22	∞∑	∞∑	PRON
ejpam-4764	129	23	n=0	n=0	NUM
ejpam-4764	129	24	pnỹi	pnỹi	ADJ
ejpam-4764	129	25	,	,	PUNCT
ejpam-4764	129	26	n	n	CCONJ
ejpam-4764	129	27	(	(	PUNCT
ejpam-4764	129	28	x	x	NOUN
ejpam-4764	129	29	,	,	PUNCT
ejpam-4764	129	30	α	α	NOUN
ejpam-4764	129	31	)	)	PUNCT
ejpam-4764	129	32	=	=	SYM
ejpam-4764	130	1	∞∑	∞∑	PRON
ejpam-4764	130	2	n=0	n=0	NUM
ejpam-4764	130	3	ỹi	ỹi	NUM
ejpam-4764	130	4	,	,	PUNCT
ejpam-4764	130	5	n	n	PRON
ejpam-4764	130	6	(	(	PUNCT
ejpam-4764	130	7	x	x	NOUN
ejpam-4764	130	8	,	,	PUNCT
ejpam-4764	130	9	α	α	NOUN
ejpam-4764	130	10	)	)	PUNCT
ejpam-4764	130	11	.	.	PUNCT
ejpam-4764	131	1	4	4	X
ejpam-4764	131	2	.	.	NUM
ejpam-4764	131	3	basic	basic	ADJ
ejpam-4764	131	4	concepts	concept	NOUN
ejpam-4764	131	5	definition	definition	NOUN
ejpam-4764	131	6	1	1	NUM
ejpam-4764	131	7	.	.	PUNCT
ejpam-4764	132	1	[	[	X
ejpam-4764	132	2	10	10	NUM
ejpam-4764	132	3	]	]	X
ejpam-4764	132	4	a	a	DET
ejpam-4764	132	5	fuzzy	fuzzy	ADJ
ejpam-4764	132	6	number	number	NOUN
ejpam-4764	132	7	ũ	ũ	PROPN
ejpam-4764	132	8	:	:	PUNCT
ejpam-4764	132	9	r	r	NOUN
ejpam-4764	132	10	→	→	SYM
ejpam-4764	132	11	[	[	X
ejpam-4764	132	12	0	0	NUM
ejpam-4764	132	13	,	,	PUNCT
ejpam-4764	132	14	1	1	NUM
ejpam-4764	132	15	]	]	PUNCT
ejpam-4764	132	16	satisfying	satisfy	VERB
ejpam-4764	132	17	the	the	DET
ejpam-4764	132	18	properties	property	NOUN
ejpam-4764	132	19	:	:	PUNCT
ejpam-4764	132	20	(	(	PUNCT
ejpam-4764	132	21	i	i	NOUN
ejpam-4764	132	22	)	)	PUNCT
ejpam-4764	133	1	ũ	ũ	PROPN
ejpam-4764	133	2	is	be	AUX
ejpam-4764	133	3	normal	normal	ADJ
ejpam-4764	133	4	,	,	PUNCT
ejpam-4764	133	5	if	if	SCONJ
ejpam-4764	133	6	ũ	ũ	PROPN
ejpam-4764	133	7	(	(	PUNCT
ejpam-4764	133	8	x0	x0	PROPN
ejpam-4764	133	9	)	)	PUNCT
ejpam-4764	134	1	=	=	SYM
ejpam-4764	134	2	1	1	NUM
ejpam-4764	134	3	,	,	PUNCT
ejpam-4764	134	4	x0	x0	PROPN
ejpam-4764	134	5	∈	∈	PROPN
ejpam-4764	134	6	r.	r.	PROPN
ejpam-4764	134	7	(	(	PUNCT
ejpam-4764	134	8	ii	ii	PROPN
ejpam-4764	134	9	)	)	PUNCT
ejpam-4764	134	10	ũ	ũ	PROPN
ejpam-4764	134	11	is	be	AUX
ejpam-4764	134	12	fuzzy	fuzzy	ADJ
ejpam-4764	134	13	convex	convex	NOUN
ejpam-4764	134	14	set	set	VERB
ejpam-4764	134	15	if	if	SCONJ
ejpam-4764	134	16	ũ	ũ	PROPN
ejpam-4764	134	17	(	(	PUNCT
ejpam-4764	134	18	λx+	λx+	NOUN
ejpam-4764	134	19	(	(	PUNCT
ejpam-4764	134	20	1−	1−	NUM
ejpam-4764	134	21	λ	λ	NOUN
ejpam-4764	134	22	)	)	PUNCT
ejpam-4764	134	23	y	y	PROPN
ejpam-4764	134	24	)	)	PUNCT
ejpam-4764	134	25	≥	≥	PROPN
ejpam-4764	134	26	min	min	PROPN
ejpam-4764	134	27	{	{	PUNCT
ejpam-4764	134	28	ũ	ũ	PROPN
ejpam-4764	134	29	(	(	PUNCT
ejpam-4764	134	30	x	x	NOUN
ejpam-4764	134	31	)	)	PUNCT
ejpam-4764	134	32	,	,	PUNCT
ejpam-4764	134	33	ũ	ũ	PROPN
ejpam-4764	134	34	(	(	PUNCT
ejpam-4764	134	35	y	y	NOUN
ejpam-4764	134	36	)	)	PUNCT
ejpam-4764	134	37	}	}	PUNCT
ejpam-4764	134	38	,	,	PUNCT
ejpam-4764	134	39	∀	∀	X
ejpam-4764	134	40	x	x	NOUN
ejpam-4764	134	41	,	,	PUNCT
ejpam-4764	134	42	y	y	PROPN
ejpam-4764	134	43	∈	∈	PROPN
ejpam-4764	134	44	r	r	PROPN
ejpam-4764	134	45	,	,	PUNCT
ejpam-4764	134	46	λ	λ	X
ejpam-4764	134	47	∈	∈	PROPN
ejpam-4764	135	1	[	[	X
ejpam-4764	135	2	0	0	NUM
ejpam-4764	135	3	,	,	PUNCT
ejpam-4764	135	4	1	1	NUM
ejpam-4764	135	5	]	]	PUNCT
ejpam-4764	135	6	.	.	PUNCT
ejpam-4764	136	1	(	(	PUNCT
ejpam-4764	136	2	iii	iii	X
ejpam-4764	136	3	)	)	PUNCT
ejpam-4764	136	4	ũ	ũ	PROPN
ejpam-4764	136	5	is	be	AUX
ejpam-4764	136	6	upper	upper	ADJ
ejpam-4764	136	7	semi	semi	ADJ
ejpam-4764	136	8	-	-	ADJ
ejpam-4764	136	9	continuous	continuous	ADJ
ejpam-4764	136	10	on	on	ADP
ejpam-4764	136	11	r.	r.	PROPN
ejpam-4764	136	12	(	(	PUNCT
ejpam-4764	136	13	iv	iv	X
ejpam-4764	136	14	)	)	PUNCT
ejpam-4764	136	15	ũ	ũ	PROPN
ejpam-4764	136	16	(	(	PUNCT
ejpam-4764	136	17	x),closure	x),closure	PROPN
ejpam-4764	136	18	of	of	ADP
ejpam-4764	136	19	ũ	ũ	PROPN
ejpam-4764	136	20	(	(	PUNCT
ejpam-4764	136	21	x	x	X
ejpam-4764	136	22	)	)	PUNCT
ejpam-4764	136	23	x	x	SYM
ejpam-4764	136	24	∈	∈	NOUN
ejpam-4764	136	25	r	r	NOUN
ejpam-4764	136	26	and	and	CCONJ
ejpam-4764	136	27	is	be	AUX
ejpam-4764	136	28	called	call	VERB
ejpam-4764	136	29	a	a	DET
ejpam-4764	136	30	compact	compact	ADJ
ejpam-4764	136	31	set	set	NOUN
ejpam-4764	136	32	.	.	PUNCT
ejpam-4764	137	1	the	the	DET
ejpam-4764	137	2	set	set	NOUN
ejpam-4764	137	3	of	of	ADP
ejpam-4764	137	4	all	all	DET
ejpam-4764	137	5	fuzzy	fuzzy	ADJ
ejpam-4764	137	6	numbers	number	NOUN
ejpam-4764	137	7	is	be	AUX
ejpam-4764	137	8	denoted	denote	VERB
ejpam-4764	137	9	by	by	ADP
ejpam-4764	137	10	rf	rf	VERB
ejpam-4764	137	11	.	.	PUNCT
ejpam-4764	138	1	for	for	ADP
ejpam-4764	138	2	0	0	NUM
ejpam-4764	138	3	<	<	X
ejpam-4764	138	4	α	α	PROPN
ejpam-4764	138	5	≤	≤	NUM
ejpam-4764	138	6	1	1	NUM
ejpam-4764	138	7	,	,	PUNCT
ejpam-4764	138	8	denote	denote	VERB
ejpam-4764	138	9	[	[	X
ejpam-4764	138	10	ũ]α	ũ]α	X
ejpam-4764	138	11	=	=	SYM
ejpam-4764	138	12	{	{	PUNCT
ejpam-4764	138	13	x	x	PUNCT
ejpam-4764	138	14	∈	∈	PROPN
ejpam-4764	138	15	r	r	PROPN
ejpam-4764	138	16	,	,	PUNCT
ejpam-4764	138	17	ũ	ũ	PROPN
ejpam-4764	138	18	(	(	PUNCT
ejpam-4764	138	19	x	x	NOUN
ejpam-4764	138	20	)	)	PUNCT
ejpam-4764	138	21	≥	≥	NOUN
ejpam-4764	138	22	α	α	NOUN
ejpam-4764	138	23	}	}	PUNCT
ejpam-4764	138	24	and	and	CCONJ
ejpam-4764	138	25	[	[	X
ejpam-4764	138	26	ũ]0	ũ]0	PROPN
ejpam-4764	138	27	=	=	X
ejpam-4764	138	28	{	{	PUNCT
ejpam-4764	138	29	x	x	PUNCT
ejpam-4764	138	30	∈	∈	PROPN
ejpam-4764	138	31	r	r	PROPN
ejpam-4764	138	32	,	,	PUNCT
ejpam-4764	138	33	ũ	ũ	PROPN
ejpam-4764	138	34	(	(	PUNCT
ejpam-4764	138	35	x	x	NOUN
ejpam-4764	138	36	)	)	PUNCT
ejpam-4764	138	37	>	>	X
ejpam-4764	138	38	0	0	NUM
ejpam-4764	138	39	}	}	PUNCT
ejpam-4764	138	40	.	.	PUNCT
ejpam-4764	139	1	then	then	ADV
ejpam-4764	139	2	,	,	PUNCT
ejpam-4764	139	3	it	it	PRON
ejpam-4764	139	4	is	be	AUX
ejpam-4764	139	5	well	well	ADV
ejpam-4764	139	6	-	-	PUNCT
ejpam-4764	139	7	known	know	VERB
ejpam-4764	139	8	that	that	SCONJ
ejpam-4764	139	9	for	for	ADP
ejpam-4764	139	10	any	any	DET
ejpam-4764	139	11	α	α	NOUN
ejpam-4764	139	12	∈	∈	PROPN
ejpam-4764	140	1	[	[	X
ejpam-4764	140	2	0	0	NUM
ejpam-4764	140	3	,	,	PUNCT
ejpam-4764	140	4	1	1	NUM
ejpam-4764	140	5	]	]	PUNCT
ejpam-4764	140	6	,	,	PUNCT
ejpam-4764	140	7	[	[	X
ejpam-4764	140	8	ũ]α	ũ]α	X
ejpam-4764	140	9	is	be	AUX
ejpam-4764	140	10	a	a	DET
ejpam-4764	140	11	bounded	bounded	ADJ
ejpam-4764	140	12	closed	closed	ADJ
ejpam-4764	140	13	interval	interval	NOUN
ejpam-4764	140	14	.	.	PUNCT
ejpam-4764	141	1	a	a	DET
ejpam-4764	141	2	triangular	triangular	ADJ
ejpam-4764	141	3	fuzzy	fuzzy	ADJ
ejpam-4764	141	4	numbers	number	NOUN
ejpam-4764	141	5	are	be	AUX
ejpam-4764	141	6	very	very	ADV
ejpam-4764	141	7	popular	popular	ADJ
ejpam-4764	141	8	and	and	CCONJ
ejpam-4764	141	9	denoted	denote	VERB
ejpam-4764	141	10	by	by	ADP
ejpam-4764	141	11	a	a	DET
ejpam-4764	141	12	=	=	SYM
ejpam-4764	141	13	(	(	PUNCT
ejpam-4764	141	14	a1	a1	PROPN
ejpam-4764	141	15	,	,	PUNCT
ejpam-4764	141	16	a2	a2	PROPN
ejpam-4764	141	17	,	,	PUNCT
ejpam-4764	141	18	a3	a3	NOUN
ejpam-4764	141	19	)	)	PUNCT
ejpam-4764	141	20	and	and	CCONJ
ejpam-4764	141	21	defined	define	VERB
ejpam-4764	141	22	by	by	ADP
ejpam-4764	141	23	µa	µa	PROPN
ejpam-4764	141	24	(	(	PUNCT
ejpam-4764	141	25	x	x	X
ejpam-4764	141	26	)	)	PUNCT
ejpam-4764	141	27	=	=	SYM
ejpam-4764	141	28			NUM
ejpam-4764	141	29	0	0	NUM
ejpam-4764	141	30	,	,	PUNCT
ejpam-4764	141	31	x	x	X
ejpam-4764	141	32	<	<	X
ejpam-4764	141	33	a1	a1	PROPN
ejpam-4764	141	34	x−	x−	PROPN
ejpam-4764	141	35	a1	a1	PROPN
ejpam-4764	141	36	a2−a1	a2−a1	ADV
ejpam-4764	141	37	,	,	PUNCT
ejpam-4764	141	38	a1	a1	NOUN
ejpam-4764	141	39	≤	≤	NOUN
ejpam-4764	141	40	x	x	SYM
ejpam-4764	141	41	≤	≤	PROPN
ejpam-4764	141	42	a2	a2	PROPN
ejpam-4764	141	43	a3	a3	NOUN
ejpam-4764	141	44	−	−	NOUN
ejpam-4764	141	45	x	x	SYM
ejpam-4764	141	46	a3	a3	PROPN
ejpam-4764	141	47	−	−	PROPN
ejpam-4764	141	48	a2	a2	PROPN
ejpam-4764	141	49	,	,	PUNCT
ejpam-4764	141	50	a2	a2	PROPN
ejpam-4764	141	51	≤	≤	NUM
ejpam-4764	141	52	x	x	SYM
ejpam-4764	141	53	≤	≤	NUM
ejpam-4764	141	54	a3	a3	NOUN
ejpam-4764	141	55	0	0	NUM
ejpam-4764	141	56	,	,	PUNCT
ejpam-4764	141	57	x	x	SYM
ejpam-4764	141	58	>	>	X
ejpam-4764	141	59	a3	a3	PROPN
ejpam-4764	141	60	w.	w.	PROPN
ejpam-4764	141	61	al	al	PROPN
ejpam-4764	141	62	-	-	PUNCT
ejpam-4764	141	63	hayani	hayani	PROPN
ejpam-4764	141	64	,	,	PUNCT
ejpam-4764	141	65	m	m	VERB
ejpam-4764	141	66	t.	t.	NOUN
ejpam-4764	141	67	younis	younis	PROPN
ejpam-4764	141	68	/	/	SYM
ejpam-4764	141	69	eur	eur	PROPN
ejpam-4764	141	70	.	.	PUNCT
ejpam-4764	142	1	j.	j.	PROPN
ejpam-4764	142	2	pure	pure	PROPN
ejpam-4764	142	3	appl	appl	PROPN
ejpam-4764	142	4	.	.	PROPN
ejpam-4764	142	5	math	math	PROPN
ejpam-4764	142	6	,	,	PUNCT
ejpam-4764	142	7	16	16	NUM
ejpam-4764	142	8	(	(	PUNCT
ejpam-4764	142	9	2	2	NUM
ejpam-4764	142	10	)	)	PUNCT
ejpam-4764	142	11	(	(	PUNCT
ejpam-4764	142	12	2023	2023	NUM
ejpam-4764	142	13	)	)	PUNCT
ejpam-4764	142	14	,	,	PUNCT
ejpam-4764	142	15	1236	1236	NUM
ejpam-4764	142	16	-	-	SYM
ejpam-4764	142	17	1259	1259	NUM
ejpam-4764	142	18	1243	1243	NUM
ejpam-4764	142	19	where	where	SCONJ
ejpam-4764	142	20	a1	a1	NOUN
ejpam-4764	142	21	,	,	PUNCT
ejpam-4764	142	22	a3	a3	NOUN
ejpam-4764	142	23	>	>	X
ejpam-4764	142	24	0	0	X
ejpam-4764	142	25	.	.	PUNCT
ejpam-4764	143	1	definition	definition	NOUN
ejpam-4764	143	2	2	2	NUM
ejpam-4764	143	3	.	.	PUNCT
ejpam-4764	144	1	[	[	X
ejpam-4764	144	2	10	10	NUM
ejpam-4764	144	3	,	,	PUNCT
ejpam-4764	144	4	24	24	NUM
ejpam-4764	144	5	]	]	PUNCT
ejpam-4764	144	6	an	an	DET
ejpam-4764	144	7	arbitrary	arbitrary	ADJ
ejpam-4764	144	8	fuzzy	fuzzy	ADJ
ejpam-4764	144	9	number	number	NOUN
ejpam-4764	144	10	ũ	ũ	PROPN
ejpam-4764	144	11	in	in	ADP
ejpam-4764	144	12	the	the	DET
ejpam-4764	144	13	parametric	parametric	ADJ
ejpam-4764	144	14	form	form	NOUN
ejpam-4764	144	15	is	be	AUX
ejpam-4764	144	16	represented	represent	VERB
ejpam-4764	144	17	by	by	ADP
ejpam-4764	144	18	an	an	DET
ejpam-4764	144	19	ordered	order	VERB
ejpam-4764	144	20	pair	pair	NOUN
ejpam-4764	144	21	of	of	ADP
ejpam-4764	144	22	functions	function	NOUN
ejpam-4764	144	23	(	(	PUNCT
ejpam-4764	144	24	y	y	NOUN
ejpam-4764	144	25	(	(	PUNCT
ejpam-4764	144	26	x	x	PROPN
ejpam-4764	144	27	,	,	PUNCT
ejpam-4764	144	28	α	α	NOUN
ejpam-4764	144	29	)	)	PUNCT
ejpam-4764	144	30	,	,	PUNCT
ejpam-4764	144	31	y	y	PROPN
ejpam-4764	144	32	(	(	PUNCT
ejpam-4764	144	33	x	x	PROPN
ejpam-4764	144	34	,	,	PUNCT
ejpam-4764	144	35	α	α	NOUN
ejpam-4764	144	36	)	)	PUNCT
ejpam-4764	144	37	)	)	PUNCT
ejpam-4764	144	38	,	,	PUNCT
ejpam-4764	144	39	0	0	NUM
ejpam-4764	144	40	≤	≤	NUM
ejpam-4764	144	41	α	α	NOUN
ejpam-4764	144	42	≤	≤	NUM
ejpam-4764	144	43	1	1	NUM
ejpam-4764	144	44	;	;	PUNCT
ejpam-4764	144	45	which	which	PRON
ejpam-4764	144	46	satisfy	satisfy	VERB
ejpam-4764	144	47	the	the	DET
ejpam-4764	144	48	following	follow	VERB
ejpam-4764	144	49	requirements	requirement	NOUN
ejpam-4764	144	50	.	.	PUNCT
ejpam-4764	145	1	(	(	PUNCT
ejpam-4764	145	2	i	i	NOUN
ejpam-4764	145	3	)	)	PUNCT
ejpam-4764	145	4	y	y	PROPN
ejpam-4764	145	5	(	(	PUNCT
ejpam-4764	145	6	x	x	NOUN
ejpam-4764	145	7	,	,	PUNCT
ejpam-4764	145	8	α	α	NOUN
ejpam-4764	145	9	)	)	PUNCT
ejpam-4764	145	10	is	be	AUX
ejpam-4764	145	11	a	a	DET
ejpam-4764	145	12	bounded	bound	VERB
ejpam-4764	145	13	left	leave	VERB
ejpam-4764	145	14	continuous	continuous	ADJ
ejpam-4764	145	15	non	non	ADJ
ejpam-4764	145	16	-	-	ADJ
ejpam-4764	145	17	decreasing	decrease	VERB
ejpam-4764	145	18	function	function	NOUN
ejpam-4764	145	19	over	over	ADP
ejpam-4764	145	20	[	[	X
ejpam-4764	145	21	0	0	NUM
ejpam-4764	145	22	,	,	PUNCT
ejpam-4764	145	23	1	1	NUM
ejpam-4764	145	24	]	]	PUNCT
ejpam-4764	145	25	.	.	PUNCT
ejpam-4764	146	1	(	(	PUNCT
ejpam-4764	146	2	ii	ii	X
ejpam-4764	146	3	)	)	PUNCT
ejpam-4764	146	4	y	y	PROPN
ejpam-4764	146	5	(	(	PUNCT
ejpam-4764	146	6	x	x	PROPN
ejpam-4764	146	7	,	,	PUNCT
ejpam-4764	146	8	α)is	α)is	PROPN
ejpam-4764	146	9	a	a	DET
ejpam-4764	146	10	bounded	bound	VERB
ejpam-4764	146	11	left	leave	VERB
ejpam-4764	146	12	continuous	continuous	ADJ
ejpam-4764	146	13	non	non	ADJ
ejpam-4764	146	14	-	-	ADJ
ejpam-4764	146	15	increasing	increase	VERB
ejpam-4764	146	16	function	function	NOUN
ejpam-4764	146	17	over	over	ADP
ejpam-4764	146	18	[	[	X
ejpam-4764	146	19	0	0	NUM
ejpam-4764	146	20	,	,	PUNCT
ejpam-4764	146	21	1	1	NUM
ejpam-4764	146	22	]	]	PUNCT
ejpam-4764	146	23	.	.	PUNCT
ejpam-4764	147	1	(	(	PUNCT
ejpam-4764	147	2	iii	iii	X
ejpam-4764	147	3	)	)	PUNCT
ejpam-4764	147	4	y	y	PROPN
ejpam-4764	147	5	(	(	PUNCT
ejpam-4764	147	6	x	x	PROPN
ejpam-4764	147	7	,	,	PUNCT
ejpam-4764	147	8	α	α	NOUN
ejpam-4764	147	9	)	)	PUNCT
ejpam-4764	147	10	≤	≤	NOUN
ejpam-4764	147	11	y	y	PROPN
ejpam-4764	147	12	(	(	PUNCT
ejpam-4764	147	13	x	x	PROPN
ejpam-4764	147	14	,	,	PUNCT
ejpam-4764	147	15	α	α	NOUN
ejpam-4764	147	16	)	)	PUNCT
ejpam-4764	147	17	,	,	PUNCT
ejpam-4764	147	18	0	0	NUM
ejpam-4764	147	19	≤	≤	NUM
ejpam-4764	147	20	α	α	NOUN
ejpam-4764	147	21	≤	≤	NUM
ejpam-4764	147	22	1	1	NUM
ejpam-4764	147	23	.	.	PUNCT
ejpam-4764	147	24	definition	definition	NOUN
ejpam-4764	147	25	3	3	NUM
ejpam-4764	147	26	.	.	PUNCT
ejpam-4764	148	1	[	[	X
ejpam-4764	148	2	24	24	NUM
ejpam-4764	148	3	]	]	PUNCT
ejpam-4764	148	4	for	for	ADP
ejpam-4764	148	5	arbitrary	arbitrary	ADJ
ejpam-4764	148	6	fuzzy	fuzzy	ADJ
ejpam-4764	148	7	numbers	number	NOUN
ejpam-4764	148	8	ũ	ũ	PROPN
ejpam-4764	148	9	(	(	PUNCT
ejpam-4764	148	10	x	x	PROPN
ejpam-4764	148	11	,	,	PUNCT
ejpam-4764	148	12	α	α	NOUN
ejpam-4764	148	13	)	)	PUNCT
ejpam-4764	148	14	=	=	SYM
ejpam-4764	148	15	(	(	PUNCT
ejpam-4764	148	16	u	u	NOUN
ejpam-4764	148	17	(	(	PUNCT
ejpam-4764	148	18	x	x	NOUN
ejpam-4764	148	19	,	,	PUNCT
ejpam-4764	148	20	α	α	NOUN
ejpam-4764	148	21	)	)	PUNCT
ejpam-4764	148	22	,	,	PUNCT
ejpam-4764	148	23	u	u	NOUN
ejpam-4764	148	24	(	(	PUNCT
ejpam-4764	148	25	x	x	NOUN
ejpam-4764	148	26	,	,	PUNCT
ejpam-4764	148	27	α	α	NOUN
ejpam-4764	148	28	)	)	PUNCT
ejpam-4764	148	29	)	)	PUNCT
ejpam-4764	148	30	and	and	CCONJ
ejpam-4764	148	31	ṽ	ṽ	PROPN
ejpam-4764	148	32	(	(	PUNCT
ejpam-4764	148	33	x	x	NOUN
ejpam-4764	148	34	,	,	PUNCT
ejpam-4764	148	35	α	α	NOUN
ejpam-4764	148	36	)	)	PUNCT
ejpam-4764	149	1	=	=	SYM
ejpam-4764	149	2	(	(	PUNCT
ejpam-4764	149	3	v	v	NOUN
ejpam-4764	149	4	(	(	PUNCT
ejpam-4764	149	5	x	x	NOUN
ejpam-4764	149	6	,	,	PUNCT
ejpam-4764	149	7	α	α	NOUN
ejpam-4764	149	8	)	)	PUNCT
ejpam-4764	149	9	,	,	PUNCT
ejpam-4764	149	10	v	v	X
ejpam-4764	149	11	(	(	PUNCT
ejpam-4764	149	12	x	x	NOUN
ejpam-4764	149	13	,	,	PUNCT
ejpam-4764	149	14	α	α	NOUN
ejpam-4764	149	15	)	)	PUNCT
ejpam-4764	149	16	)	)	PUNCT
ejpam-4764	149	17	,	,	PUNCT
ejpam-4764	149	18	we	we	PRON
ejpam-4764	149	19	define	define	VERB
ejpam-4764	149	20	the	the	DET
ejpam-4764	149	21	distance	distance	NOUN
ejpam-4764	149	22	between	between	ADP
ejpam-4764	149	23	ũ	ũ	PROPN
ejpam-4764	149	24	(	(	PUNCT
ejpam-4764	149	25	x	x	PROPN
ejpam-4764	149	26	,	,	PUNCT
ejpam-4764	149	27	α	α	NOUN
ejpam-4764	149	28	)	)	PUNCT
ejpam-4764	149	29	and	and	CCONJ
ejpam-4764	149	30	ṽ	ṽ	PROPN
ejpam-4764	149	31	(	(	PUNCT
ejpam-4764	149	32	x	x	NOUN
ejpam-4764	149	33	,	,	PUNCT
ejpam-4764	149	34	α	α	NOUN
ejpam-4764	149	35	)	)	PUNCT
ejpam-4764	149	36	by	by	ADP
ejpam-4764	149	37	the	the	DET
ejpam-4764	149	38	quantity	quantity	NOUN
ejpam-4764	149	39	d	d	NOUN
ejpam-4764	149	40	(	(	PUNCT
ejpam-4764	149	41	ũ	ũ	PROPN
ejpam-4764	149	42	(	(	PUNCT
ejpam-4764	149	43	x	x	PROPN
ejpam-4764	149	44	,	,	PUNCT
ejpam-4764	149	45	α	α	NOUN
ejpam-4764	149	46	)	)	PUNCT
ejpam-4764	149	47	,	,	PUNCT
ejpam-4764	149	48	ṽ	ṽ	PROPN
ejpam-4764	149	49	(	(	PUNCT
ejpam-4764	149	50	x	x	PROPN
ejpam-4764	149	51	,	,	PUNCT
ejpam-4764	149	52	α	α	NOUN
ejpam-4764	149	53	)	)	PUNCT
ejpam-4764	149	54	)	)	PUNCT
ejpam-4764	150	1	=	=	SYM
ejpam-4764	150	2	sup	sup	PROPN
ejpam-4764	150	3	α∈[0,1	α∈[0,1	NUM
ejpam-4764	150	4	]	]	X
ejpam-4764	150	5	max	max	PROPN
ejpam-4764	150	6	{	{	PUNCT
ejpam-4764	150	7	|u	|u	PROPN
ejpam-4764	150	8	(	(	PUNCT
ejpam-4764	150	9	x	x	X
ejpam-4764	150	10	,	,	PUNCT
ejpam-4764	150	11	α)−	α)−	NOUN
ejpam-4764	150	12	v	v	ADP
ejpam-4764	150	13	(	(	PUNCT
ejpam-4764	150	14	x	x	X
ejpam-4764	150	15	,	,	PUNCT
ejpam-4764	150	16	α)|	α)|	VERB
ejpam-4764	150	17	,	,	PUNCT
ejpam-4764	150	18	|u	|u	ADJ
ejpam-4764	150	19	(	(	PUNCT
ejpam-4764	150	20	x	x	X
ejpam-4764	150	21	,	,	PUNCT
ejpam-4764	150	22	α)−	α)−	NOUN
ejpam-4764	150	23	v	v	ADP
ejpam-4764	150	24	(	(	PUNCT
ejpam-4764	150	25	x	x	X
ejpam-4764	150	26	,	,	PUNCT
ejpam-4764	150	27	α)|	α)|	VERB
ejpam-4764	150	28	}	}	PUNCT
ejpam-4764	150	29	5	5	NUM
ejpam-4764	150	30	.	.	PUNCT
ejpam-4764	150	31	applications	application	NOUN
ejpam-4764	150	32	in	in	ADP
ejpam-4764	150	33	this	this	DET
ejpam-4764	150	34	section	section	NOUN
ejpam-4764	150	35	,	,	PUNCT
ejpam-4764	150	36	we	we	PRON
ejpam-4764	150	37	demonstrate	demonstrate	VERB
ejpam-4764	150	38	the	the	DET
ejpam-4764	150	39	exceptional	exceptional	ADJ
ejpam-4764	150	40	precision	precision	NOUN
ejpam-4764	150	41	and	and	CCONJ
ejpam-4764	150	42	accuracy	accuracy	NOUN
ejpam-4764	150	43	of	of	ADP
ejpam-4764	150	44	the	the	DET
ejpam-4764	150	45	results	result	NOUN
ejpam-4764	150	46	obtained	obtain	VERB
ejpam-4764	150	47	through	through	ADP
ejpam-4764	150	48	this	this	DET
ejpam-4764	150	49	method	method	NOUN
ejpam-4764	150	50	.	.	PUNCT
ejpam-4764	151	1	by	by	ADP
ejpam-4764	151	2	showcasing	showcase	VERB
ejpam-4764	151	3	the	the	DET
ejpam-4764	151	4	solutions	solution	NOUN
ejpam-4764	151	5	of	of	ADP
ejpam-4764	151	6	two	two	NUM
ejpam-4764	151	7	distinct	distinct	ADJ
ejpam-4764	151	8	problems.we	problems.we	NOUN
ejpam-4764	151	9	give	give	VERB
ejpam-4764	151	10	a	a	DET
ejpam-4764	151	11	comparison	comparison	NOUN
ejpam-4764	151	12	the	the	DET
ejpam-4764	151	13	approximate	approximate	ADJ
ejpam-4764	151	14	solution	solution	NOUN
ejpam-4764	151	15	by	by	ADP
ejpam-4764	151	16	the	the	DET
ejpam-4764	151	17	(	(	PUNCT
ejpam-4764	151	18	hpm	hpm	NOUN
ejpam-4764	151	19	with	with	ADP
ejpam-4764	151	20	green	green	PROPN
ejpam-4764	151	21	’s	’s	PART
ejpam-4764	151	22	function	function	NOUN
ejpam-4764	151	23	)	)	PUNCT
ejpam-4764	151	24	with	with	ADP
ejpam-4764	151	25	the	the	DET
ejpam-4764	151	26	exact	exact	ADJ
ejpam-4764	151	27	solution	solution	NOUN
ejpam-4764	151	28	given	give	VERB
ejpam-4764	151	29	.	.	PUNCT
ejpam-4764	152	1	moreover	moreover	ADV
ejpam-4764	152	2	,	,	PUNCT
ejpam-4764	152	3	the	the	DET
ejpam-4764	152	4	absolute	absolute	ADJ
ejpam-4764	152	5	errors	error	NOUN
ejpam-4764	152	6	between	between	ADP
ejpam-4764	152	7	them	they	PRON
ejpam-4764	152	8	are	be	AUX
ejpam-4764	152	9	defined	define	VERB
ejpam-4764	152	10	as	as	SCONJ
ejpam-4764	152	11	follows	follow	VERB
ejpam-4764	152	12	:	:	PUNCT
ejpam-4764	153	1	ael	ael	PROPN
ejpam-4764	153	2	=	=	PUNCT
ejpam-4764	153	3	∣∣∣y	∣∣∣y	PROPN
ejpam-4764	153	4	i	i	PROPN
ejpam-4764	153	5	,	,	PUNCT
ejpam-4764	153	6	e	e	PROPN
ejpam-4764	153	7	(	(	PUNCT
ejpam-4764	153	8	x	x	X
ejpam-4764	153	9	,	,	PUNCT
ejpam-4764	153	10	α)−	α)−	VERB
ejpam-4764	153	11	y	y	PROPN
ejpam-4764	154	1	i	i	PROPN
ejpam-4764	154	2	,	,	PUNCT
ejpam-4764	154	3	n	n	PROPN
ejpam-4764	154	4	(	(	PUNCT
ejpam-4764	154	5	x	x	NOUN
ejpam-4764	154	6	,	,	PUNCT
ejpam-4764	154	7	α	α	NOUN
ejpam-4764	154	8	)	)	PUNCT
ejpam-4764	154	9	∣∣∣	∣∣∣	NOUN
ejpam-4764	154	10	aeu	aeu	ADV
ejpam-4764	154	11	=	=	SYM
ejpam-4764	154	12	∣∣yi	∣∣yi	PROPN
ejpam-4764	154	13	,	,	PUNCT
ejpam-4764	154	14	e	e	X
ejpam-4764	154	15	(	(	PUNCT
ejpam-4764	154	16	x	x	X
ejpam-4764	154	17	,	,	PUNCT
ejpam-4764	154	18	α)−	α)−	PROPN
ejpam-4764	154	19	yi	yi	PROPN
ejpam-4764	154	20	,	,	PUNCT
ejpam-4764	154	21	n	n	CCONJ
ejpam-4764	154	22	(	(	PUNCT
ejpam-4764	154	23	x	x	NOUN
ejpam-4764	154	24	,	,	PUNCT
ejpam-4764	154	25	α	α	NOUN
ejpam-4764	154	26	)	)	PUNCT
ejpam-4764	154	27	∣∣	∣∣	NUM
ejpam-4764	154	28	,	,	PUNCT
ejpam-4764	154	29	i	i	PRON
ejpam-4764	154	30	=	=	NOUN
ejpam-4764	154	31	1	1	NUM
ejpam-4764	154	32	,	,	PUNCT
ejpam-4764	154	33	2	2	NUM
ejpam-4764	154	34	n	n	NOUN
ejpam-4764	154	35	=	=	SYM
ejpam-4764	154	36	1	1	NUM
ejpam-4764	154	37	,	,	PUNCT
ejpam-4764	154	38	2	2	NUM
ejpam-4764	154	39	,	,	PUNCT
ejpam-4764	154	40	.	.	PUNCT
ejpam-4764	154	41	.	.	PUNCT
ejpam-4764	154	42	.	.	PUNCT
ejpam-4764	155	1	where	where	SCONJ
ejpam-4764	155	2	y	y	PROPN
ejpam-4764	155	3	i	i	PROPN
ejpam-4764	155	4	,	,	PUNCT
ejpam-4764	155	5	e	e	PROPN
ejpam-4764	155	6	(	(	PUNCT
ejpam-4764	155	7	x	x	NOUN
ejpam-4764	155	8	,	,	PUNCT
ejpam-4764	155	9	α	α	NOUN
ejpam-4764	155	10	)	)	PUNCT
ejpam-4764	155	11	:	:	PUNCT
ejpam-4764	155	12	lower	low	ADJ
ejpam-4764	155	13	exact	exact	ADJ
ejpam-4764	155	14	solution	solution	NOUN
ejpam-4764	155	15	,	,	PUNCT
ejpam-4764	155	16	y	y	PROPN
ejpam-4764	155	17	i	i	PROPN
ejpam-4764	155	18	,	,	PUNCT
ejpam-4764	155	19	n	n	PROPN
ejpam-4764	155	20	(	(	PUNCT
ejpam-4764	155	21	x	x	NOUN
ejpam-4764	155	22	,	,	PUNCT
ejpam-4764	155	23	α	α	NOUN
ejpam-4764	155	24	)	)	PUNCT
ejpam-4764	155	25	:	:	PUNCT
ejpam-4764	155	26	lower	low	ADJ
ejpam-4764	155	27	approximate	approximate	ADJ
ejpam-4764	155	28	solution	solution	NOUN
ejpam-4764	155	29	(	(	PUNCT
ejpam-4764	155	30	hpm	hpm	NOUN
ejpam-4764	155	31	)	)	PUNCT
ejpam-4764	155	32	,	,	PUNCT
ejpam-4764	155	33	yi	yi	PROPN
ejpam-4764	155	34	,	,	PUNCT
ejpam-4764	155	35	e	e	X
ejpam-4764	155	36	(	(	PUNCT
ejpam-4764	155	37	x	x	NOUN
ejpam-4764	155	38	,	,	PUNCT
ejpam-4764	155	39	α	α	NOUN
ejpam-4764	155	40	)	)	PUNCT
ejpam-4764	155	41	:	:	PUNCT
ejpam-4764	155	42	upper	upper	ADJ
ejpam-4764	155	43	exact	exact	ADJ
ejpam-4764	155	44	solution	solution	NOUN
ejpam-4764	155	45	,	,	PUNCT
ejpam-4764	155	46	yi	yi	PROPN
ejpam-4764	155	47	,	,	PUNCT
ejpam-4764	155	48	n	n	CCONJ
ejpam-4764	155	49	(	(	PUNCT
ejpam-4764	155	50	x	x	NOUN
ejpam-4764	155	51	,	,	PUNCT
ejpam-4764	155	52	α	α	NOUN
ejpam-4764	155	53	)	)	PUNCT
ejpam-4764	155	54	:	:	PUNCT
ejpam-4764	155	55	upper	upper	ADJ
ejpam-4764	155	56	approximate	approximate	ADJ
ejpam-4764	155	57	solution	solution	NOUN
ejpam-4764	155	58	(	(	PUNCT
ejpam-4764	155	59	hpm	hpm	NOUN
ejpam-4764	155	60	)	)	PUNCT
ejpam-4764	155	61	.	.	PUNCT
ejpam-4764	156	1	the	the	DET
ejpam-4764	156	2	computations	computation	NOUN
ejpam-4764	156	3	associated	associate	VERB
ejpam-4764	156	4	with	with	ADP
ejpam-4764	156	5	the	the	DET
ejpam-4764	156	6	problems	problem	NOUN
ejpam-4764	156	7	were	be	AUX
ejpam-4764	156	8	performed	perform	VERB
ejpam-4764	156	9	using	use	VERB
ejpam-4764	156	10	a	a	DET
ejpam-4764	156	11	maple	maple	NOUN
ejpam-4764	156	12	18	18	NUM
ejpam-4764	156	13	package	package	NOUN
ejpam-4764	156	14	with	with	ADP
ejpam-4764	156	15	a	a	DET
ejpam-4764	156	16	precision	precision	NOUN
ejpam-4764	156	17	of	of	ADP
ejpam-4764	156	18	20	20	NUM
ejpam-4764	156	19	digits	digit	NOUN
ejpam-4764	156	20	.	.	PUNCT
ejpam-4764	157	1	problem	problem	NOUN
ejpam-4764	157	2	1	1	X
ejpam-4764	157	3	.	.	PUNCT
ejpam-4764	158	1	we	we	PRON
ejpam-4764	158	2	first	first	ADV
ejpam-4764	158	3	consider	consider	VERB
ejpam-4764	158	4	the	the	DET
ejpam-4764	158	5	linear	linear	ADJ
ejpam-4764	158	6	fsbvps	fsbvps	NOUN
ejpam-4764	159	1	[	[	X
ejpam-4764	159	2	7	7	NUM
ejpam-4764	159	3	,	,	PUNCT
ejpam-4764	159	4	9	9	NUM
ejpam-4764	159	5	,	,	PUNCT
ejpam-4764	159	6	17	17	NUM
ejpam-4764	159	7	]	]	PUNCT
ejpam-4764	159	8	:	:	PUNCT
ejpam-4764	159	9	{	{	PUNCT
ejpam-4764	159	10	ỹ′′1	ỹ′′1	NOUN
ejpam-4764	159	11	(	(	PUNCT
ejpam-4764	159	12	x	x	NOUN
ejpam-4764	159	13	,	,	PUNCT
ejpam-4764	159	14	α	α	NOUN
ejpam-4764	159	15	)	)	PUNCT
ejpam-4764	159	16	+	+	CCONJ
ejpam-4764	159	17	(	(	PUNCT
ejpam-4764	159	18	2x−	2x−	NUM
ejpam-4764	159	19	1	1	NUM
ejpam-4764	159	20	)	)	PUNCT
ejpam-4764	159	21	ỹ′1	ỹ′1	NOUN
ejpam-4764	159	22	(	(	PUNCT
ejpam-4764	159	23	x	x	NOUN
ejpam-4764	159	24	,	,	PUNCT
ejpam-4764	159	25	α	α	NOUN
ejpam-4764	159	26	)	)	PUNCT
ejpam-4764	159	27	+	+	CCONJ
ejpam-4764	159	28	cos	cos	X
ejpam-4764	159	29	(	(	PUNCT
ejpam-4764	159	30	πx	πx	NOUN
ejpam-4764	159	31	)	)	PUNCT
ejpam-4764	159	32	ỹ′2	ỹ′2	PROPN
ejpam-4764	159	33	(	(	PUNCT
ejpam-4764	159	34	x	x	NOUN
ejpam-4764	159	35	,	,	PUNCT
ejpam-4764	159	36	α	α	NOUN
ejpam-4764	159	37	)	)	PUNCT
ejpam-4764	159	38	=	=	SYM
ejpam-4764	159	39	f̃1	f̃1	PROPN
ejpam-4764	159	40	(	(	PUNCT
ejpam-4764	159	41	x	x	X
ejpam-4764	159	42	,	,	PUNCT
ejpam-4764	159	43	α	α	NOUN
ejpam-4764	159	44	)	)	PUNCT
ejpam-4764	159	45	,	,	PUNCT
ejpam-4764	159	46	ỹ′′2	ỹ′′2	PROPN
ejpam-4764	159	47	(	(	PUNCT
ejpam-4764	159	48	x	x	NOUN
ejpam-4764	159	49	,	,	PUNCT
ejpam-4764	159	50	α	α	NOUN
ejpam-4764	159	51	)	)	PUNCT
ejpam-4764	159	52	+	+	X
ejpam-4764	159	53	xỹ1	xỹ1	X
ejpam-4764	159	54	(	(	PUNCT
ejpam-4764	159	55	x	x	NOUN
ejpam-4764	159	56	,	,	PUNCT
ejpam-4764	159	57	α	α	NOUN
ejpam-4764	159	58	)	)	PUNCT
ejpam-4764	160	1	=	=	SYM
ejpam-4764	160	2	f̃2	f̃2	PROPN
ejpam-4764	160	3	(	(	PUNCT
ejpam-4764	160	4	x	x	NOUN
ejpam-4764	160	5	,	,	PUNCT
ejpam-4764	160	6	α	α	NOUN
ejpam-4764	160	7	)	)	PUNCT
ejpam-4764	160	8	,	,	PUNCT
ejpam-4764	160	9	(	(	PUNCT
ejpam-4764	160	10	22	22	X
ejpam-4764	160	11	)	)	PUNCT
ejpam-4764	160	12	w.	w.	PROPN
ejpam-4764	160	13	al	al	PROPN
ejpam-4764	160	14	-	-	PUNCT
ejpam-4764	160	15	hayani	hayani	PROPN
ejpam-4764	160	16	,	,	PUNCT
ejpam-4764	160	17	m	m	VERB
ejpam-4764	160	18	t.	t.	NOUN
ejpam-4764	160	19	younis	younis	PROPN
ejpam-4764	160	20	/	/	SYM
ejpam-4764	160	21	eur	eur	PROPN
ejpam-4764	160	22	.	.	PUNCT
ejpam-4764	161	1	j.	j.	PROPN
ejpam-4764	161	2	pure	pure	PROPN
ejpam-4764	161	3	appl	appl	PROPN
ejpam-4764	161	4	.	.	PROPN
ejpam-4764	161	5	math	math	PROPN
ejpam-4764	161	6	,	,	PUNCT
ejpam-4764	161	7	16	16	NUM
ejpam-4764	161	8	(	(	PUNCT
ejpam-4764	161	9	2	2	NUM
ejpam-4764	161	10	)	)	PUNCT
ejpam-4764	161	11	(	(	PUNCT
ejpam-4764	161	12	2023	2023	NUM
ejpam-4764	161	13	)	)	PUNCT
ejpam-4764	161	14	,	,	PUNCT
ejpam-4764	161	15	1236	1236	NUM
ejpam-4764	161	16	-	-	SYM
ejpam-4764	161	17	1259	1259	NUM
ejpam-4764	161	18	1244	1244	NUM
ejpam-4764	161	19	with	with	ADP
ejpam-4764	161	20	the	the	DET
ejpam-4764	161	21	boundary	boundary	ADJ
ejpam-4764	161	22	conditions	condition	NOUN
ejpam-4764	161	23	ỹ1	ỹ1	NOUN
ejpam-4764	161	24	(	(	PUNCT
ejpam-4764	161	25	0	0	NUM
ejpam-4764	161	26	,	,	PUNCT
ejpam-4764	161	27	α	α	NOUN
ejpam-4764	161	28	)	)	PUNCT
ejpam-4764	161	29	=	=	SYM
ejpam-4764	161	30	ỹ1	ỹ1	NOUN
ejpam-4764	161	31	(	(	PUNCT
ejpam-4764	161	32	1	1	NUM
ejpam-4764	161	33	,	,	PUNCT
ejpam-4764	161	34	α	α	NOUN
ejpam-4764	161	35	)	)	PUNCT
ejpam-4764	161	36	=	=	SYM
ejpam-4764	161	37	(	(	PUNCT
ejpam-4764	161	38	0	0	NUM
ejpam-4764	161	39	,	,	PUNCT
ejpam-4764	161	40	0	0	NUM
ejpam-4764	161	41	)	)	PUNCT
ejpam-4764	161	42	,	,	PUNCT
ejpam-4764	162	1	ỹ2	ỹ2	PROPN
ejpam-4764	162	2	(	(	PUNCT
ejpam-4764	162	3	0	0	NUM
ejpam-4764	162	4	,	,	PUNCT
ejpam-4764	162	5	α	α	NOUN
ejpam-4764	162	6	)	)	PUNCT
ejpam-4764	162	7	=	=	SYM
ejpam-4764	162	8	ỹ2	ỹ2	PROPN
ejpam-4764	162	9	(	(	PUNCT
ejpam-4764	162	10	1	1	NUM
ejpam-4764	162	11	,	,	PUNCT
ejpam-4764	162	12	α	α	NOUN
ejpam-4764	162	13	)	)	PUNCT
ejpam-4764	162	14	=	=	SYM
ejpam-4764	162	15	(	(	PUNCT
ejpam-4764	162	16	0	0	NUM
ejpam-4764	162	17	,	,	PUNCT
ejpam-4764	162	18	0	0	NUM
ejpam-4764	162	19	)	)	PUNCT
ejpam-4764	162	20	,	,	PUNCT
ejpam-4764	162	21	(	(	PUNCT
ejpam-4764	162	22	23	23	NUM
ejpam-4764	162	23	)	)	PUNCT
ejpam-4764	162	24	where	where	SCONJ
ejpam-4764	162	25	f̃1	f̃1	PROPN
ejpam-4764	162	26	(	(	PUNCT
ejpam-4764	162	27	x	x	NOUN
ejpam-4764	162	28	,	,	PUNCT
ejpam-4764	162	29	α	α	NOUN
ejpam-4764	162	30	)	)	PUNCT
ejpam-4764	162	31	=	=	PUNCT
ejpam-4764	163	1	[	[	PUNCT
ejpam-4764	163	2	f	f	NOUN
ejpam-4764	163	3	1	1	NUM
ejpam-4764	163	4	(	(	PUNCT
ejpam-4764	163	5	x	x	NOUN
ejpam-4764	163	6	,	,	PUNCT
ejpam-4764	163	7	α	α	NOUN
ejpam-4764	163	8	)	)	PUNCT
ejpam-4764	163	9	,	,	PUNCT
ejpam-4764	163	10	f1	f1	NOUN
ejpam-4764	163	11	(	(	PUNCT
ejpam-4764	163	12	x	x	NOUN
ejpam-4764	163	13	,	,	PUNCT
ejpam-4764	163	14	α	α	NOUN
ejpam-4764	163	15	)	)	PUNCT
ejpam-4764	163	16	]	]	PUNCT
ejpam-4764	163	17	and	and	CCONJ
ejpam-4764	163	18	f̃2	f̃2	PROPN
ejpam-4764	163	19	(	(	PUNCT
ejpam-4764	163	20	x	x	NOUN
ejpam-4764	163	21	,	,	PUNCT
ejpam-4764	163	22	α	α	NOUN
ejpam-4764	163	23	)	)	PUNCT
ejpam-4764	163	24	=	=	PUNCT
ejpam-4764	164	1	[	[	PUNCT
ejpam-4764	164	2	f	f	NOUN
ejpam-4764	164	3	2	2	NUM
ejpam-4764	164	4	(	(	PUNCT
ejpam-4764	164	5	x	x	NOUN
ejpam-4764	164	6	,	,	PUNCT
ejpam-4764	164	7	α	α	NOUN
ejpam-4764	164	8	)	)	PUNCT
ejpam-4764	164	9	,	,	PUNCT
ejpam-4764	164	10	f2	f2	PROPN
ejpam-4764	164	11	(	(	PUNCT
ejpam-4764	164	12	x	x	NOUN
ejpam-4764	164	13	,	,	PUNCT
ejpam-4764	164	14	α	α	NOUN
ejpam-4764	164	15	)	)	PUNCT
ejpam-4764	164	16	]	]	PUNCT
ejpam-4764	164	17	are	be	AUX
ejpam-4764	164	18	given	give	VERB
ejpam-4764	164	19	by	by	ADP
ejpam-4764	164	20	f	f	PROPN
ejpam-4764	164	21	1	1	NUM
ejpam-4764	164	22	(	(	PUNCT
ejpam-4764	164	23	x	x	NOUN
ejpam-4764	164	24	,	,	PUNCT
ejpam-4764	164	25	α	α	NOUN
ejpam-4764	164	26	)	)	PUNCT
ejpam-4764	164	27	=	=	SYM
ejpam-4764	164	28	−α	−α	NOUN
ejpam-4764	164	29	sin	sin	NOUN
ejpam-4764	164	30	(	(	PUNCT
ejpam-4764	164	31	πx)π2	πx)π2	PROPN
ejpam-4764	164	32	+	+	PUNCT
ejpam-4764	165	1	[	[	X
ejpam-4764	165	2	(	(	PUNCT
ejpam-4764	165	3	2απ	2απ	ADJ
ejpam-4764	165	4	+	+	CCONJ
ejpam-4764	165	5	α+	α+	PUNCT
ejpam-4764	165	6	1)x	1)x	NUM
ejpam-4764	165	7	]	]	X
ejpam-4764	165	8	cos	cos	X
ejpam-4764	165	9	(	(	PUNCT
ejpam-4764	165	10	πx	πx	NOUN
ejpam-4764	165	11	)	)	PUNCT
ejpam-4764	165	12	,	,	PUNCT
ejpam-4764	165	13	−	−	PROPN
ejpam-4764	165	14	[	[	PUNCT
ejpam-4764	165	15	απ	απ	X
ejpam-4764	165	16	+	+	CCONJ
ejpam-4764	165	17	1	1	NUM
ejpam-4764	165	18	2	2	NUM
ejpam-4764	165	19	α+	α+	SYM
ejpam-4764	165	20	1	1	NUM
ejpam-4764	165	21	2	2	NUM
ejpam-4764	165	22	]	]	PUNCT
ejpam-4764	165	23	cos	cos	X
ejpam-4764	165	24	(	(	PUNCT
ejpam-4764	165	25	πx	πx	NOUN
ejpam-4764	165	26	)	)	PUNCT
ejpam-4764	165	27	,	,	PUNCT
ejpam-4764	165	28	f1	f1	PROPN
ejpam-4764	165	29	(	(	PUNCT
ejpam-4764	165	30	x	x	NOUN
ejpam-4764	165	31	,	,	PUNCT
ejpam-4764	165	32	α	α	NOUN
ejpam-4764	165	33	)	)	PUNCT
ejpam-4764	165	34	=	=	SYM
ejpam-4764	165	35	(	(	PUNCT
ejpam-4764	165	36	α−	α−	ADP
ejpam-4764	165	37	2)π2	2)π2	PRON
ejpam-4764	165	38	sin	sin	NOUN
ejpam-4764	165	39	(	(	PUNCT
ejpam-4764	165	40	πx	πx	NOUN
ejpam-4764	165	41	)	)	PUNCT
ejpam-4764	165	42	+	+	CCONJ
ejpam-4764	166	1	[	[	X
ejpam-4764	166	2	(	(	PUNCT
ejpam-4764	166	3	4π	4π	NUM
ejpam-4764	166	4	−	−	NOUN
ejpam-4764	166	5	2απ	2απ	ADJ
ejpam-4764	166	6	−	−	NOUN
ejpam-4764	166	7	4α+	4α+	NUM
ejpam-4764	166	8	6)x	6)x	NUM
ejpam-4764	166	9	]	]	X
ejpam-4764	166	10	cos	cos	X
ejpam-4764	166	11	(	(	PUNCT
ejpam-4764	166	12	πx	πx	NOUN
ejpam-4764	166	13	)	)	PUNCT
ejpam-4764	166	14	,	,	PUNCT
ejpam-4764	166	15	+	+	CCONJ
ejpam-4764	167	1	[	[	X
ejpam-4764	167	2	απ	απ	X
ejpam-4764	167	3	+	+	NOUN
ejpam-4764	167	4	2α−	2α−	NUM
ejpam-4764	167	5	2π	2π	NOUN
ejpam-4764	167	6	−	−	PROPN
ejpam-4764	167	7	3	3	NUM
ejpam-4764	167	8	]	]	X
ejpam-4764	167	9	cos	cos	X
ejpam-4764	167	10	(	(	PUNCT
ejpam-4764	167	11	πx	πx	NOUN
ejpam-4764	167	12	)	)	PUNCT
ejpam-4764	167	13	,	,	PUNCT
ejpam-4764	167	14	f	f	PROPN
ejpam-4764	167	15	2	2	NUM
ejpam-4764	167	16	(	(	PUNCT
ejpam-4764	167	17	x	x	NOUN
ejpam-4764	167	18	,	,	PUNCT
ejpam-4764	167	19	α	α	NOUN
ejpam-4764	167	20	)	)	PUNCT
ejpam-4764	167	21	=	=	SYM
ejpam-4764	167	22	xα	xα	ADP
ejpam-4764	167	23	sin	sin	NOUN
ejpam-4764	167	24	(	(	PUNCT
ejpam-4764	167	25	πx	πx	NOUN
ejpam-4764	167	26	)	)	PUNCT
ejpam-4764	167	27	+	+	CCONJ
ejpam-4764	167	28	α+	α+	SYM
ejpam-4764	167	29	1	1	NUM
ejpam-4764	167	30	,	,	PUNCT
ejpam-4764	167	31	f2	f2	PRON
ejpam-4764	167	32	(	(	PUNCT
ejpam-4764	167	33	x	x	NOUN
ejpam-4764	167	34	,	,	PUNCT
ejpam-4764	167	35	α	α	NOUN
ejpam-4764	167	36	)	)	PUNCT
ejpam-4764	167	37	=	=	SYM
ejpam-4764	167	38	(	(	PUNCT
ejpam-4764	167	39	2−	2−	NUM
ejpam-4764	167	40	α)x	α)x	NUM
ejpam-4764	167	41	sin	sin	NOUN
ejpam-4764	167	42	(	(	PUNCT
ejpam-4764	167	43	πx)−	πx)−	X
ejpam-4764	167	44	4α+	4α+	NUM
ejpam-4764	167	45	6	6	NUM
ejpam-4764	167	46	.	.	PUNCT
ejpam-4764	168	1	(	(	PUNCT
ejpam-4764	168	2	24	24	NUM
ejpam-4764	168	3	)	)	PUNCT
ejpam-4764	168	4	the	the	DET
ejpam-4764	168	5	exact	exact	ADJ
ejpam-4764	168	6	solutions	solution	NOUN
ejpam-4764	168	7	of	of	ADP
ejpam-4764	168	8	the	the	DET
ejpam-4764	168	9	fsbvps	fsbvps	PROPN
ejpam-4764	168	10	(	(	PUNCT
ejpam-4764	168	11	22	22	NUM
ejpam-4764	168	12	)	)	PUNCT
ejpam-4764	168	13	and	and	CCONJ
ejpam-4764	168	14	(	(	PUNCT
ejpam-4764	168	15	23	23	NUM
ejpam-4764	168	16	)	)	PUNCT
ejpam-4764	168	17	are	be	AUX
ejpam-4764	168	18	ỹ1,e	ỹ1,e	PROPN
ejpam-4764	168	19	(	(	PUNCT
ejpam-4764	168	20	x	x	NOUN
ejpam-4764	168	21	,	,	PUNCT
ejpam-4764	168	22	α	α	NOUN
ejpam-4764	168	23	)	)	PUNCT
ejpam-4764	168	24	=	=	PUNCT
ejpam-4764	169	1	[	[	X
ejpam-4764	169	2	α	α	PRON
ejpam-4764	169	3	sin	sin	NOUN
ejpam-4764	169	4	(	(	PUNCT
ejpam-4764	169	5	πx	πx	NOUN
ejpam-4764	169	6	)	)	PUNCT
ejpam-4764	169	7	,	,	PUNCT
ejpam-4764	169	8	(	(	PUNCT
ejpam-4764	169	9	2−	2−	NUM
ejpam-4764	169	10	α	α	NOUN
ejpam-4764	169	11	)	)	PUNCT
ejpam-4764	169	12	sin	sin	NOUN
ejpam-4764	169	13	(	(	PUNCT
ejpam-4764	169	14	πx	πx	NOUN
ejpam-4764	169	15	)	)	PUNCT
ejpam-4764	169	16	]	]	PUNCT
ejpam-4764	169	17	,	,	PUNCT
ejpam-4764	169	18	ỹ2,e	ỹ2,e	PROPN
ejpam-4764	169	19	(	(	PUNCT
ejpam-4764	169	20	x	x	NOUN
ejpam-4764	169	21	,	,	PUNCT
ejpam-4764	169	22	α	α	NOUN
ejpam-4764	169	23	)	)	PUNCT
ejpam-4764	169	24	=	=	PUNCT
ejpam-4764	170	1	[	[	X
ejpam-4764	170	2	(	(	PUNCT
ejpam-4764	170	3	α	α	NOUN
ejpam-4764	170	4	2	2	NUM
ejpam-4764	170	5	+	+	CCONJ
ejpam-4764	170	6	1	1	NUM
ejpam-4764	170	7	2	2	NUM
ejpam-4764	170	8	)	)	PUNCT
ejpam-4764	170	9	(	(	PUNCT
ejpam-4764	170	10	x2	x2	INTJ
ejpam-4764	170	11	−	−	PROPN
ejpam-4764	170	12	x	x	SYM
ejpam-4764	170	13	)	)	PUNCT
ejpam-4764	170	14	,	,	PUNCT
ejpam-4764	170	15	(	(	PUNCT
ejpam-4764	170	16	3−	3−	NUM
ejpam-4764	170	17	2α	2α	NOUN
ejpam-4764	170	18	)	)	PUNCT
ejpam-4764	170	19	(	(	PUNCT
ejpam-4764	170	20	x2	x2	INTJ
ejpam-4764	170	21	−	−	PROPN
ejpam-4764	170	22	x	x	SYM
ejpam-4764	170	23	)	)	PUNCT
ejpam-4764	170	24	]	]	PUNCT
ejpam-4764	170	25	.	.	PUNCT
ejpam-4764	171	1	constructing	construct	VERB
ejpam-4764	171	2	the	the	DET
ejpam-4764	171	3	hpm	hpm	NOUN
ejpam-4764	171	4	with	with	ADP
ejpam-4764	171	5	green	green	PROPN
ejpam-4764	171	6	’s	’s	PART
ejpam-4764	171	7	function	function	NOUN
ejpam-4764	171	8	,	,	PUNCT
ejpam-4764	171	9	we	we	PRON
ejpam-4764	171	10	have	have	VERB
ejpam-4764	171	11	ỹ1	ỹ1	NOUN
ejpam-4764	171	12	(	(	PUNCT
ejpam-4764	171	13	x	x	X
ejpam-4764	171	14	,	,	PUNCT
ejpam-4764	171	15	α	α	NOUN
ejpam-4764	171	16	)	)	PUNCT
ejpam-4764	171	17	=	=	SYM
ejpam-4764	172	1	h̃1	h̃1	PROPN
ejpam-4764	172	2	(	(	PUNCT
ejpam-4764	172	3	x	x	X
ejpam-4764	172	4	,	,	PUNCT
ejpam-4764	172	5	α)−	α)−	VERB
ejpam-4764	172	6	∫	∫	PROPN
ejpam-4764	172	7	1	1	NUM
ejpam-4764	172	8	0	0	NUM
ejpam-4764	172	9	g	g	PROPN
ejpam-4764	172	10	(	(	PUNCT
ejpam-4764	172	11	x	x	X
ejpam-4764	172	12	,	,	PUNCT
ejpam-4764	172	13	ξ	ξ	NOUN
ejpam-4764	172	14	)	)	PUNCT
ejpam-4764	172	15	f̃1	f̃1	PROPN
ejpam-4764	172	16	(	(	PUNCT
ejpam-4764	172	17	ξ	ξ	PROPN
ejpam-4764	172	18	,	,	PUNCT
ejpam-4764	172	19	α	α	NOUN
ejpam-4764	172	20	)	)	PUNCT
ejpam-4764	172	21	dξ	dξ	VERB
ejpam-4764	173	1	+	+	PROPN
ejpam-4764	173	2	p	p	X
ejpam-4764	173	3	∫	∫	PROPN
ejpam-4764	173	4	1	1	NUM
ejpam-4764	173	5	0	0	NUM
ejpam-4764	173	6	g	g	PROPN
ejpam-4764	173	7	(	(	PUNCT
ejpam-4764	173	8	x	x	X
ejpam-4764	173	9	,	,	PUNCT
ejpam-4764	173	10	ξ	ξ	X
ejpam-4764	173	11	)	)	PUNCT
ejpam-4764	174	1	[	[	X
ejpam-4764	174	2	(	(	PUNCT
ejpam-4764	174	3	2ξ	2ξ	NUM
ejpam-4764	174	4	−	−	PROPN
ejpam-4764	174	5	1	1	X
ejpam-4764	174	6	)	)	PUNCT
ejpam-4764	174	7	ỹ′1	ỹ′1	PROPN
ejpam-4764	174	8	(	(	PUNCT
ejpam-4764	174	9	ξ	ξ	PROPN
ejpam-4764	174	10	,	,	PUNCT
ejpam-4764	174	11	α	α	NOUN
ejpam-4764	174	12	)	)	PUNCT
ejpam-4764	174	13	+	+	CCONJ
ejpam-4764	174	14	cos	cos	X
ejpam-4764	174	15	(	(	PUNCT
ejpam-4764	174	16	πx	πx	NOUN
ejpam-4764	174	17	)	)	PUNCT
ejpam-4764	174	18	ỹ′2	ỹ′2	PROPN
ejpam-4764	174	19	(	(	PUNCT
ejpam-4764	174	20	ξ	ξ	PROPN
ejpam-4764	174	21	,	,	PUNCT
ejpam-4764	174	22	α	α	NOUN
ejpam-4764	174	23	)	)	PUNCT
ejpam-4764	174	24	]	]	PUNCT
ejpam-4764	175	1	dξ	dξ	PROPN
ejpam-4764	175	2	,	,	PUNCT
ejpam-4764	175	3	ỹ2	ỹ2	PROPN
ejpam-4764	175	4	(	(	PUNCT
ejpam-4764	175	5	x	x	NOUN
ejpam-4764	175	6	,	,	PUNCT
ejpam-4764	175	7	α	α	NOUN
ejpam-4764	175	8	)	)	PUNCT
ejpam-4764	175	9	=	=	SYM
ejpam-4764	176	1	h̃2	h̃2	PROPN
ejpam-4764	176	2	(	(	PUNCT
ejpam-4764	176	3	x	x	X
ejpam-4764	176	4	,	,	PUNCT
ejpam-4764	176	5	α)−	α)−	VERB
ejpam-4764	176	6	∫	∫	PROPN
ejpam-4764	176	7	1	1	NUM
ejpam-4764	176	8	0	0	NUM
ejpam-4764	176	9	g	g	PROPN
ejpam-4764	176	10	(	(	PUNCT
ejpam-4764	176	11	x	x	X
ejpam-4764	176	12	,	,	PUNCT
ejpam-4764	176	13	ξ	ξ	NOUN
ejpam-4764	176	14	)	)	PUNCT
ejpam-4764	176	15	f̃2	f̃2	PROPN
ejpam-4764	176	16	(	(	PUNCT
ejpam-4764	176	17	ξ	ξ	PROPN
ejpam-4764	176	18	,	,	PUNCT
ejpam-4764	176	19	α	α	NOUN
ejpam-4764	176	20	)	)	PUNCT
ejpam-4764	176	21	dξ	dξ	VERB
ejpam-4764	177	1	+	+	PROPN
ejpam-4764	177	2	p	p	X
ejpam-4764	177	3	∫	∫	PROPN
ejpam-4764	177	4	1	1	NUM
ejpam-4764	177	5	0	0	NUM
ejpam-4764	177	6	g	g	PROPN
ejpam-4764	177	7	(	(	PUNCT
ejpam-4764	177	8	x	x	X
ejpam-4764	177	9	,	,	PUNCT
ejpam-4764	177	10	ξ	ξ	X
ejpam-4764	177	11	)	)	PUNCT
ejpam-4764	178	1	[	[	X
ejpam-4764	178	2	ξỹ1	ξỹ1	NOUN
ejpam-4764	178	3	(	(	PUNCT
ejpam-4764	178	4	ξ	ξ	PROPN
ejpam-4764	178	5	,	,	PUNCT
ejpam-4764	178	6	α	α	NOUN
ejpam-4764	178	7	)	)	PUNCT
ejpam-4764	178	8	]	]	PUNCT
ejpam-4764	178	9	dξ	dξ	PROPN
ejpam-4764	178	10	,	,	PUNCT
ejpam-4764	178	11	(	(	PUNCT
ejpam-4764	178	12	25	25	NUM
ejpam-4764	178	13	)	)	PUNCT
ejpam-4764	178	14	where	where	SCONJ
ejpam-4764	178	15	h̃i	h̃i	ADV
ejpam-4764	178	16	(	(	PUNCT
ejpam-4764	178	17	x	x	NOUN
ejpam-4764	178	18	,	,	PUNCT
ejpam-4764	178	19	α	α	NOUN
ejpam-4764	178	20	)	)	PUNCT
ejpam-4764	178	21	is	be	AUX
ejpam-4764	178	22	the	the	DET
ejpam-4764	178	23	solution	solution	NOUN
ejpam-4764	178	24	of	of	ADP
ejpam-4764	178	25	y′′i	y′′i	PROPN
ejpam-4764	178	26	(	(	PUNCT
ejpam-4764	178	27	x	x	X
ejpam-4764	178	28	,	,	PUNCT
ejpam-4764	178	29	α	α	NOUN
ejpam-4764	178	30	)	)	PUNCT
ejpam-4764	178	31	=	=	SYM
ejpam-4764	178	32	0	0	NUM
ejpam-4764	178	33	,	,	PUNCT
ejpam-4764	178	34	i	i	PRON
ejpam-4764	178	35	=	=	NOUN
ejpam-4764	178	36	1	1	NUM
ejpam-4764	178	37	,	,	PUNCT
ejpam-4764	178	38	2	2	NUM
ejpam-4764	178	39	with	with	ADP
ejpam-4764	178	40	the	the	DET
ejpam-4764	178	41	boundary	boundary	ADJ
ejpam-4764	178	42	conditions	condition	NOUN
ejpam-4764	178	43	(	(	PUNCT
ejpam-4764	178	44	23	23	NUM
ejpam-4764	178	45	)	)	PUNCT
ejpam-4764	178	46	and	and	CCONJ
ejpam-4764	178	47	g(x	g(x	NOUN
ejpam-4764	178	48	,	,	PUNCT
ejpam-4764	178	49	ξ	ξ	X
ejpam-4764	178	50	)	)	PUNCT
ejpam-4764	178	51	is	be	AUX
ejpam-4764	178	52	the	the	DET
ejpam-4764	178	53	green	green	PROPN
ejpam-4764	178	54	’s	’s	PART
ejpam-4764	178	55	function	function	NOUN
ejpam-4764	178	56	given	give	VERB
ejpam-4764	178	57	by	by	ADP
ejpam-4764	178	58	(	(	PUNCT
ejpam-4764	178	59	17	17	NUM
ejpam-4764	178	60	)	)	PUNCT
ejpam-4764	178	61	.	.	PUNCT
ejpam-4764	179	1	substituting	substitute	VERB
ejpam-4764	179	2	equation	equation	NOUN
ejpam-4764	179	3	10	10	NUM
ejpam-4764	179	4	into	into	ADP
ejpam-4764	179	5	equation	equation	NOUN
ejpam-4764	179	6	25	25	NUM
ejpam-4764	179	7	,	,	PUNCT
ejpam-4764	179	8	we	we	PRON
ejpam-4764	179	9	obtain	obtain	VERB
ejpam-4764	179	10	∞∑	∞∑	NUM
ejpam-4764	179	11	n=0	n=0	NUM
ejpam-4764	179	12	pnỹ1,n	pnỹ1,n	NOUN
ejpam-4764	179	13	(	(	PUNCT
ejpam-4764	179	14	x	x	X
ejpam-4764	179	15	,	,	PUNCT
ejpam-4764	179	16	α	α	NOUN
ejpam-4764	179	17	)	)	PUNCT
ejpam-4764	180	1	=	=	SYM
ejpam-4764	180	2	h̃1	h̃1	PROPN
ejpam-4764	180	3	(	(	PUNCT
ejpam-4764	180	4	x	x	X
ejpam-4764	180	5	,	,	PUNCT
ejpam-4764	180	6	α)−	α)−	VERB
ejpam-4764	180	7	∫	∫	PROPN
ejpam-4764	180	8	1	1	NUM
ejpam-4764	180	9	0	0	NUM
ejpam-4764	180	10	g	g	PROPN
ejpam-4764	180	11	(	(	PUNCT
ejpam-4764	180	12	x	x	X
ejpam-4764	180	13	,	,	PUNCT
ejpam-4764	180	14	ξ	ξ	NOUN
ejpam-4764	180	15	)	)	PUNCT
ejpam-4764	180	16	f̃1	f̃1	PROPN
ejpam-4764	180	17	(	(	PUNCT
ejpam-4764	180	18	ξ	ξ	PROPN
ejpam-4764	180	19	,	,	PUNCT
ejpam-4764	180	20	α	α	NOUN
ejpam-4764	180	21	)	)	PUNCT
ejpam-4764	180	22	dξ	dξ	VERB
ejpam-4764	181	1	+	+	PROPN
ejpam-4764	181	2	p	p	X
ejpam-4764	181	3	∫	∫	PROPN
ejpam-4764	181	4	1	1	NUM
ejpam-4764	181	5	0	0	NUM
ejpam-4764	181	6	g	g	PROPN
ejpam-4764	181	7	(	(	PUNCT
ejpam-4764	181	8	x	x	X
ejpam-4764	181	9	,	,	PUNCT
ejpam-4764	181	10	ξ	ξ	NOUN
ejpam-4764	181	11	)	)	PUNCT
ejpam-4764	181	12	[	[	PUNCT
ejpam-4764	181	13	(	(	PUNCT
ejpam-4764	181	14	2ξ	2ξ	NUM
ejpam-4764	181	15	−	−	NOUN
ejpam-4764	181	16	1	1	X
ejpam-4764	181	17	)	)	PUNCT
ejpam-4764	182	1	∞∑	∞∑	PRON
ejpam-4764	182	2	n=0	n=0	PRON
ejpam-4764	182	3	pnỹ′1,n	pnỹ′1,n	PROPN
ejpam-4764	182	4	(	(	PUNCT
ejpam-4764	182	5	ξ	ξ	PROPN
ejpam-4764	182	6	,	,	PUNCT
ejpam-4764	182	7	α	α	NOUN
ejpam-4764	182	8	)	)	PUNCT
ejpam-4764	183	1	+	+	CCONJ
ejpam-4764	183	2	cos	cos	X
ejpam-4764	183	3	(	(	PUNCT
ejpam-4764	183	4	πx	πx	NOUN
ejpam-4764	183	5	)	)	PUNCT
ejpam-4764	183	6	∞∑	∞∑	PRON
ejpam-4764	183	7	n=0	n=0	PRON
ejpam-4764	183	8	pnỹ′2,n	pnỹ′2,n	PROPN
ejpam-4764	183	9	(	(	PUNCT
ejpam-4764	183	10	ξ	ξ	PROPN
ejpam-4764	183	11	,	,	PUNCT
ejpam-4764	183	12	α	α	NOUN
ejpam-4764	183	13	)	)	PUNCT
ejpam-4764	183	14	]	]	PUNCT
ejpam-4764	184	1	dξ	dξ	PROPN
ejpam-4764	184	2	,	,	PUNCT
ejpam-4764	184	3	∞∑	∞∑	ADJ
ejpam-4764	184	4	n=0	n=0	ADJ
ejpam-4764	184	5	pnỹ2,n	pnỹ2,n	NOUN
ejpam-4764	184	6	(	(	PUNCT
ejpam-4764	184	7	x	x	NOUN
ejpam-4764	184	8	,	,	PUNCT
ejpam-4764	184	9	α	α	NOUN
ejpam-4764	184	10	)	)	PUNCT
ejpam-4764	184	11	=	=	SYM
ejpam-4764	185	1	h̃2	h̃2	PROPN
ejpam-4764	185	2	(	(	PUNCT
ejpam-4764	185	3	x	x	X
ejpam-4764	185	4	,	,	PUNCT
ejpam-4764	185	5	α)−	α)−	VERB
ejpam-4764	185	6	∫	∫	PROPN
ejpam-4764	185	7	1	1	NUM
ejpam-4764	185	8	0	0	NUM
ejpam-4764	185	9	g	g	PROPN
ejpam-4764	185	10	(	(	PUNCT
ejpam-4764	185	11	x	x	X
ejpam-4764	185	12	,	,	PUNCT
ejpam-4764	185	13	ξ	ξ	NOUN
ejpam-4764	185	14	)	)	PUNCT
ejpam-4764	185	15	f̃2	f̃2	PROPN
ejpam-4764	185	16	(	(	PUNCT
ejpam-4764	185	17	ξ	ξ	PROPN
ejpam-4764	185	18	,	,	PUNCT
ejpam-4764	185	19	α	α	NOUN
ejpam-4764	185	20	)	)	PUNCT
ejpam-4764	185	21	dξ	dξ	VERB
ejpam-4764	186	1	+	+	PROPN
ejpam-4764	186	2	p	p	X
ejpam-4764	186	3	∫	∫	PROPN
ejpam-4764	186	4	1	1	NUM
ejpam-4764	186	5	0	0	NUM
ejpam-4764	186	6	g	g	PROPN
ejpam-4764	186	7	(	(	PUNCT
ejpam-4764	186	8	x	x	X
ejpam-4764	186	9	,	,	PUNCT
ejpam-4764	186	10	ξ	ξ	NOUN
ejpam-4764	186	11	)	)	PUNCT
ejpam-4764	186	12	[	[	PUNCT
ejpam-4764	186	13	ξ	ξ	X
ejpam-4764	186	14	∞∑	∞∑	NUM
ejpam-4764	186	15	n=0	n=0	X
ejpam-4764	186	16	pnỹ1,n	pnỹ1,n	NOUN
ejpam-4764	186	17	(	(	PUNCT
ejpam-4764	186	18	ξ	ξ	PROPN
ejpam-4764	186	19	,	,	PUNCT
ejpam-4764	186	20	α	α	NOUN
ejpam-4764	186	21	)	)	PUNCT
ejpam-4764	186	22	]	]	PUNCT
ejpam-4764	187	1	dξ	dξ	PROPN
ejpam-4764	187	2	.	.	PUNCT
ejpam-4764	188	1	(	(	PUNCT
ejpam-4764	188	2	26	26	NUM
ejpam-4764	188	3	)	)	PUNCT
ejpam-4764	188	4	w.	w.	PROPN
ejpam-4764	188	5	al	al	PROPN
ejpam-4764	188	6	-	-	PUNCT
ejpam-4764	188	7	hayani	hayani	PROPN
ejpam-4764	188	8	,	,	PUNCT
ejpam-4764	188	9	m	m	VERB
ejpam-4764	188	10	t.	t.	NOUN
ejpam-4764	188	11	younis	younis	PROPN
ejpam-4764	188	12	/	/	SYM
ejpam-4764	188	13	eur	eur	PROPN
ejpam-4764	188	14	.	.	PUNCT
ejpam-4764	189	1	j.	j.	PROPN
ejpam-4764	189	2	pure	pure	PROPN
ejpam-4764	189	3	appl	appl	PROPN
ejpam-4764	189	4	.	.	PROPN
ejpam-4764	189	5	math	math	PROPN
ejpam-4764	189	6	,	,	PUNCT
ejpam-4764	189	7	16	16	NUM
ejpam-4764	189	8	(	(	PUNCT
ejpam-4764	189	9	2	2	NUM
ejpam-4764	189	10	)	)	PUNCT
ejpam-4764	189	11	(	(	PUNCT
ejpam-4764	189	12	2023	2023	NUM
ejpam-4764	189	13	)	)	PUNCT
ejpam-4764	189	14	,	,	PUNCT
ejpam-4764	189	15	1236	1236	NUM
ejpam-4764	189	16	-	-	SYM
ejpam-4764	189	17	1259	1259	NUM
ejpam-4764	189	18	1245	1245	NUM
ejpam-4764	189	19	using	use	VERB
ejpam-4764	189	20	the	the	DET
ejpam-4764	189	21	fuzzy	fuzzy	ADJ
ejpam-4764	189	22	hpm	hpm	NOUN
ejpam-4764	189	23	,	,	PUNCT
ejpam-4764	189	24	according	accord	VERB
ejpam-4764	189	25	to	to	ADP
ejpam-4764	189	26	equation	equation	NOUN
ejpam-4764	189	27	26	26	NUM
ejpam-4764	189	28	,	,	PUNCT
ejpam-4764	189	29	the	the	DET
ejpam-4764	189	30	lower	low	ADJ
ejpam-4764	189	31	iterations	iteration	NOUN
ejpam-4764	189	32	(	(	PUNCT
ejpam-4764	189	33	l	l	NOUN
ejpam-4764	189	34	)	)	PUNCT
ejpam-4764	189	35	are	be	AUX
ejpam-4764	189	36	then	then	ADV
ejpam-4764	189	37	determined	determined	ADJ
ejpam-4764	189	38	in	in	ADP
ejpam-4764	189	39	the	the	DET
ejpam-4764	189	40	following	follow	VERB
ejpam-4764	189	41	recursive	recursive	ADJ
ejpam-4764	189	42	way	way	NOUN
ejpam-4764	189	43	:	:	PUNCT
ejpam-4764	189	44	p0	p0	NOUN
ejpam-4764	189	45	:	:	PUNCT
ejpam-4764	189	46			PUNCT
ejpam-4764	189	47	y	y	PROPN
ejpam-4764	189	48	1,0	1,0	NUM
ejpam-4764	189	49	(	(	PUNCT
ejpam-4764	189	50	x	x	NOUN
ejpam-4764	189	51	,	,	PUNCT
ejpam-4764	189	52	α	α	NOUN
ejpam-4764	189	53	)	)	PUNCT
ejpam-4764	189	54	=	=	SYM
ejpam-4764	189	55	h1	h1	ADJ
ejpam-4764	189	56	(	(	PUNCT
ejpam-4764	189	57	x	x	NOUN
ejpam-4764	189	58	,	,	PUNCT
ejpam-4764	189	59	α)−	α)−	VERB
ejpam-4764	189	60	∫	∫	PROPN
ejpam-4764	189	61	1	1	NUM
ejpam-4764	189	62	0	0	NUM
ejpam-4764	189	63	g	g	PROPN
ejpam-4764	189	64	(	(	PUNCT
ejpam-4764	189	65	x	x	X
ejpam-4764	189	66	,	,	PUNCT
ejpam-4764	189	67	ξ	ξ	PROPN
ejpam-4764	189	68	)	)	PUNCT
ejpam-4764	189	69	f	f	NOUN
ejpam-4764	189	70	1	1	NUM
ejpam-4764	189	71	(	(	PUNCT
ejpam-4764	189	72	ξ	ξ	PROPN
ejpam-4764	189	73	,	,	PUNCT
ejpam-4764	189	74	α	α	NOUN
ejpam-4764	189	75	)	)	PUNCT
ejpam-4764	189	76	dξ	dξ	PROPN
ejpam-4764	189	77	,	,	PUNCT
ejpam-4764	189	78	y	y	PROPN
ejpam-4764	189	79	2,0	2,0	NUM
ejpam-4764	189	80	(	(	PUNCT
ejpam-4764	189	81	x	x	NOUN
ejpam-4764	189	82	,	,	PUNCT
ejpam-4764	189	83	α	α	NOUN
ejpam-4764	189	84	)	)	PUNCT
ejpam-4764	189	85	=	=	SYM
ejpam-4764	189	86	h2	h2	NOUN
ejpam-4764	189	87	(	(	PUNCT
ejpam-4764	189	88	x	x	X
ejpam-4764	189	89	,	,	PUNCT
ejpam-4764	189	90	α)−	α)−	VERB
ejpam-4764	189	91	∫	∫	PROPN
ejpam-4764	189	92	1	1	NUM
ejpam-4764	189	93	0	0	NUM
ejpam-4764	189	94	g	g	PROPN
ejpam-4764	189	95	(	(	PUNCT
ejpam-4764	189	96	x	x	X
ejpam-4764	189	97	,	,	PUNCT
ejpam-4764	189	98	ξ	ξ	PROPN
ejpam-4764	189	99	)	)	PUNCT
ejpam-4764	189	100	f	f	PROPN
ejpam-4764	189	101	2	2	NUM
ejpam-4764	189	102	(	(	PUNCT
ejpam-4764	189	103	ξ	ξ	PROPN
ejpam-4764	189	104	,	,	PUNCT
ejpam-4764	189	105	α	α	NOUN
ejpam-4764	189	106	)	)	PUNCT
ejpam-4764	189	107	dξ	dξ	PROPN
ejpam-4764	189	108	,	,	PUNCT
ejpam-4764	189	109	pn	pn	X
ejpam-4764	189	110	:	:	PUNCT
ejpam-4764	189	111			PUNCT
ejpam-4764	189	112	y	y	NOUN
ejpam-4764	189	113	1,n+1	1,n+1	NUM
ejpam-4764	189	114	(	(	PUNCT
ejpam-4764	189	115	x	x	NOUN
ejpam-4764	189	116	,	,	PUNCT
ejpam-4764	189	117	α	α	NOUN
ejpam-4764	189	118	)	)	PUNCT
ejpam-4764	189	119	=	=	SYM
ejpam-4764	190	1	∫	∫	PROPN
ejpam-4764	190	2	1	1	NUM
ejpam-4764	190	3	0	0	NUM
ejpam-4764	190	4	g	g	PROPN
ejpam-4764	190	5	(	(	PUNCT
ejpam-4764	190	6	x	x	X
ejpam-4764	190	7	,	,	PUNCT
ejpam-4764	190	8	ξ	ξ	NOUN
ejpam-4764	190	9	)	)	PUNCT
ejpam-4764	190	10	[	[	PUNCT
ejpam-4764	190	11	(	(	PUNCT
ejpam-4764	190	12	2ξ	2ξ	NUM
ejpam-4764	190	13	−	−	PROPN
ejpam-4764	190	14	1	1	NUM
ejpam-4764	190	15	)	)	PUNCT
ejpam-4764	190	16	y′	y′	NUM
ejpam-4764	190	17	1,n	1,n	NUM
ejpam-4764	190	18	(	(	PUNCT
ejpam-4764	190	19	ξ	ξ	PROPN
ejpam-4764	190	20	,	,	PUNCT
ejpam-4764	190	21	α	α	NOUN
ejpam-4764	190	22	)	)	PUNCT
ejpam-4764	191	1	+	+	CCONJ
ejpam-4764	191	2	cos	cos	X
ejpam-4764	191	3	(	(	PUNCT
ejpam-4764	191	4	πx	πx	NOUN
ejpam-4764	191	5	)	)	PUNCT
ejpam-4764	191	6	y′	y′	NOUN
ejpam-4764	191	7	2,n	2,n	NUM
ejpam-4764	191	8	(	(	PUNCT
ejpam-4764	191	9	ξ	ξ	PROPN
ejpam-4764	191	10	,	,	PUNCT
ejpam-4764	191	11	α	α	NOUN
ejpam-4764	191	12	)	)	PUNCT
ejpam-4764	191	13	]	]	PUNCT
ejpam-4764	191	14	dξ	dξ	PROPN
ejpam-4764	191	15	,	,	PUNCT
ejpam-4764	191	16	y	y	PROPN
ejpam-4764	191	17	2,n+1	2,n+1	NUM
ejpam-4764	191	18	(	(	PUNCT
ejpam-4764	191	19	x	x	NOUN
ejpam-4764	191	20	,	,	PUNCT
ejpam-4764	191	21	α	α	NOUN
ejpam-4764	191	22	)	)	PUNCT
ejpam-4764	191	23	=	=	SYM
ejpam-4764	191	24	∫	∫	PROPN
ejpam-4764	191	25	1	1	NUM
ejpam-4764	191	26	0	0	NUM
ejpam-4764	191	27	g	g	PROPN
ejpam-4764	191	28	(	(	PUNCT
ejpam-4764	191	29	x	x	X
ejpam-4764	191	30	,	,	PUNCT
ejpam-4764	191	31	ξ	ξ	NOUN
ejpam-4764	191	32	)	)	PUNCT
ejpam-4764	191	33	[	[	PUNCT
ejpam-4764	191	34	ξy	ξy	NOUN
ejpam-4764	191	35	1,n	1,n	NUM
ejpam-4764	191	36	(	(	PUNCT
ejpam-4764	191	37	ξ	ξ	PROPN
ejpam-4764	191	38	,	,	PUNCT
ejpam-4764	191	39	α	α	NOUN
ejpam-4764	191	40	)	)	PUNCT
ejpam-4764	191	41	]	]	PUNCT
ejpam-4764	191	42	dξ	dξ	PROPN
ejpam-4764	191	43	,	,	PUNCT
ejpam-4764	191	44	(	(	PUNCT
ejpam-4764	191	45	27	27	NUM
ejpam-4764	191	46	)	)	PUNCT
ejpam-4764	191	47	and	and	CCONJ
ejpam-4764	191	48	the	the	DET
ejpam-4764	191	49	upper	upper	ADJ
ejpam-4764	191	50	iterations	iteration	NOUN
ejpam-4764	191	51	(	(	PUNCT
ejpam-4764	191	52	u	u	NOUN
ejpam-4764	191	53	)	)	PUNCT
ejpam-4764	191	54	are	be	AUX
ejpam-4764	191	55	p0	p0	NOUN
ejpam-4764	191	56	:	:	PUNCT
ejpam-4764	191	57	{	{	PUNCT
ejpam-4764	191	58	y1,0	y1,0	PROPN
ejpam-4764	191	59	(	(	PUNCT
ejpam-4764	191	60	x	x	NOUN
ejpam-4764	191	61	,	,	PUNCT
ejpam-4764	191	62	α	α	NOUN
ejpam-4764	191	63	)	)	PUNCT
ejpam-4764	191	64	=	=	SYM
ejpam-4764	191	65	h1	h1	ADJ
ejpam-4764	191	66	(	(	PUNCT
ejpam-4764	191	67	x	x	NOUN
ejpam-4764	191	68	,	,	PUNCT
ejpam-4764	191	69	α)−	α)−	VERB
ejpam-4764	191	70	∫	∫	PROPN
ejpam-4764	191	71	1	1	NUM
ejpam-4764	191	72	0	0	NUM
ejpam-4764	191	73	g	g	PROPN
ejpam-4764	191	74	(	(	PUNCT
ejpam-4764	191	75	x	x	NOUN
ejpam-4764	191	76	,	,	PUNCT
ejpam-4764	191	77	ξ	ξ	NOUN
ejpam-4764	191	78	)	)	PUNCT
ejpam-4764	191	79	f1	f1	NOUN
ejpam-4764	191	80	(	(	PUNCT
ejpam-4764	191	81	ξ	ξ	PROPN
ejpam-4764	191	82	,	,	PUNCT
ejpam-4764	191	83	α	α	NOUN
ejpam-4764	191	84	)	)	PUNCT
ejpam-4764	191	85	dξ	dξ	PROPN
ejpam-4764	191	86	,	,	PUNCT
ejpam-4764	191	87	y2,0	y2,0	PROPN
ejpam-4764	191	88	(	(	PUNCT
ejpam-4764	191	89	x	x	NOUN
ejpam-4764	191	90	,	,	PUNCT
ejpam-4764	191	91	α	α	NOUN
ejpam-4764	191	92	)	)	PUNCT
ejpam-4764	191	93	=	=	SYM
ejpam-4764	191	94	h2	h2	NOUN
ejpam-4764	191	95	(	(	PUNCT
ejpam-4764	191	96	x	x	X
ejpam-4764	191	97	,	,	PUNCT
ejpam-4764	191	98	α)−	α)−	VERB
ejpam-4764	191	99	∫	∫	PROPN
ejpam-4764	192	1	1	1	NUM
ejpam-4764	192	2	0	0	NUM
ejpam-4764	192	3	g	g	PROPN
ejpam-4764	192	4	(	(	PUNCT
ejpam-4764	192	5	x	x	X
ejpam-4764	192	6	,	,	PUNCT
ejpam-4764	192	7	ξ	ξ	X
ejpam-4764	192	8	)	)	PUNCT
ejpam-4764	192	9	f2	f2	PROPN
ejpam-4764	192	10	(	(	PUNCT
ejpam-4764	192	11	ξ	ξ	PROPN
ejpam-4764	192	12	,	,	PUNCT
ejpam-4764	192	13	α	α	NOUN
ejpam-4764	192	14	)	)	PUNCT
ejpam-4764	192	15	dξ	dξ	PROPN
ejpam-4764	192	16	,	,	PUNCT
ejpam-4764	192	17	pn	pn	X
ejpam-4764	192	18	:	:	PUNCT
ejpam-4764	192	19	{	{	PUNCT
ejpam-4764	192	20	y1,n+1	y1,n+1	PROPN
ejpam-4764	192	21	(	(	PUNCT
ejpam-4764	192	22	x	x	NOUN
ejpam-4764	192	23	,	,	PUNCT
ejpam-4764	192	24	α	α	NOUN
ejpam-4764	192	25	)	)	PUNCT
ejpam-4764	192	26	=	=	SYM
ejpam-4764	193	1	∫	∫	PROPN
ejpam-4764	193	2	1	1	NUM
ejpam-4764	193	3	0	0	NUM
ejpam-4764	193	4	g	g	PROPN
ejpam-4764	193	5	(	(	PUNCT
ejpam-4764	193	6	x	x	X
ejpam-4764	193	7	,	,	PUNCT
ejpam-4764	193	8	ξ	ξ	NOUN
ejpam-4764	193	9	)	)	PUNCT
ejpam-4764	193	10	[	[	PUNCT
ejpam-4764	193	11	(	(	PUNCT
ejpam-4764	193	12	2ξ	2ξ	NUM
ejpam-4764	193	13	−	−	PROPN
ejpam-4764	193	14	1	1	NUM
ejpam-4764	193	15	)	)	PUNCT
ejpam-4764	193	16	y′1,n	y′1,n	NOUN
ejpam-4764	193	17	(	(	PUNCT
ejpam-4764	193	18	ξ	ξ	PROPN
ejpam-4764	193	19	,	,	PUNCT
ejpam-4764	193	20	α	α	NOUN
ejpam-4764	193	21	)	)	PUNCT
ejpam-4764	194	1	+	+	CCONJ
ejpam-4764	194	2	cos	cos	X
ejpam-4764	194	3	(	(	PUNCT
ejpam-4764	194	4	πx	πx	NOUN
ejpam-4764	194	5	)	)	PUNCT
ejpam-4764	194	6	y′2,n	y′2,n	NOUN
ejpam-4764	194	7	(	(	PUNCT
ejpam-4764	194	8	ξ	ξ	PROPN
ejpam-4764	194	9	,	,	PUNCT
ejpam-4764	194	10	α	α	NOUN
ejpam-4764	194	11	)	)	PUNCT
ejpam-4764	194	12	]	]	PUNCT
ejpam-4764	194	13	dξ	dξ	PROPN
ejpam-4764	194	14	,	,	PUNCT
ejpam-4764	194	15	y2,n+1	y2,n+1	PROPN
ejpam-4764	194	16	(	(	PUNCT
ejpam-4764	194	17	x	x	NOUN
ejpam-4764	194	18	,	,	PUNCT
ejpam-4764	194	19	α	α	NOUN
ejpam-4764	194	20	)	)	PUNCT
ejpam-4764	194	21	=	=	SYM
ejpam-4764	194	22	∫	∫	PROPN
ejpam-4764	194	23	1	1	NUM
ejpam-4764	194	24	0	0	NUM
ejpam-4764	194	25	g	g	PROPN
ejpam-4764	194	26	(	(	PUNCT
ejpam-4764	194	27	x	x	X
ejpam-4764	194	28	,	,	PUNCT
ejpam-4764	194	29	ξ	ξ	NOUN
ejpam-4764	194	30	)	)	PUNCT
ejpam-4764	194	31	[	[	PUNCT
ejpam-4764	194	32	ξy1,n	ξy1,n	X
ejpam-4764	194	33	(	(	PUNCT
ejpam-4764	194	34	ξ	ξ	PROPN
ejpam-4764	194	35	,	,	PUNCT
ejpam-4764	194	36	α	α	NOUN
ejpam-4764	194	37	)	)	PUNCT
ejpam-4764	194	38	]	]	PUNCT
ejpam-4764	195	1	dξ	dξ	PROPN
ejpam-4764	195	2	.	.	PUNCT
ejpam-4764	196	1	(	(	PUNCT
ejpam-4764	196	2	28	28	NUM
ejpam-4764	196	3	)	)	PUNCT
ejpam-4764	196	4	by	by	ADP
ejpam-4764	196	5	solving	solve	VERB
ejpam-4764	196	6	the	the	DET
ejpam-4764	196	7	system	system	NOUN
ejpam-4764	196	8	(	(	PUNCT
ejpam-4764	196	9	27	27	NUM
ejpam-4764	196	10	)	)	PUNCT
ejpam-4764	196	11	and	and	CCONJ
ejpam-4764	196	12	(	(	PUNCT
ejpam-4764	196	13	28	28	NUM
ejpam-4764	196	14	)	)	PUNCT
ejpam-4764	196	15	,	,	PUNCT
ejpam-4764	196	16	we	we	PRON
ejpam-4764	196	17	obtain	obtain	VERB
ejpam-4764	196	18	the	the	DET
ejpam-4764	196	19	iterations	iteration	NOUN
ejpam-4764	196	20	ỹi,0	ỹi,0	X
ejpam-4764	196	21	(	(	PUNCT
ejpam-4764	196	22	x	x	NOUN
ejpam-4764	196	23	,	,	PUNCT
ejpam-4764	196	24	α	α	NOUN
ejpam-4764	196	25	)	)	PUNCT
ejpam-4764	196	26	,	,	PUNCT
ejpam-4764	196	27	ỹi,1	ỹi,1	PROPN
ejpam-4764	196	28	(	(	PUNCT
ejpam-4764	196	29	x	x	PROPN
ejpam-4764	196	30	,	,	PUNCT
ejpam-4764	196	31	α	α	NOUN
ejpam-4764	196	32	)	)	PUNCT
ejpam-4764	196	33	,	,	PUNCT
ejpam-4764	196	34	.	.	PUNCT
ejpam-4764	196	35	.	.	PUNCT
ejpam-4764	197	1	.	.	PUNCT
ejpam-4764	198	1	,	,	PUNCT
ejpam-4764	198	2	ỹi	ỹi	X
ejpam-4764	198	3	,	,	PUNCT
ejpam-4764	198	4	n	n	PRON
ejpam-4764	198	5	(	(	PUNCT
ejpam-4764	198	6	x	x	NOUN
ejpam-4764	198	7	,	,	PUNCT
ejpam-4764	198	8	α	α	NOUN
ejpam-4764	198	9	)	)	PUNCT
ejpam-4764	198	10	,	,	PUNCT
ejpam-4764	198	11	i	i	PRON
ejpam-4764	198	12	=	=	NOUN
ejpam-4764	198	13	1	1	NUM
ejpam-4764	198	14	,	,	PUNCT
ejpam-4764	198	15	2	2	NUM
ejpam-4764	198	16	.	.	PUNCT
ejpam-4764	199	1	thus	thus	ADV
ejpam-4764	199	2	,	,	PUNCT
ejpam-4764	199	3	the	the	DET
ejpam-4764	199	4	approximated	approximate	VERB
ejpam-4764	199	5	solution	solution	NOUN
ejpam-4764	199	6	in	in	ADP
ejpam-4764	199	7	a	a	DET
ejpam-4764	199	8	series	series	NOUN
ejpam-4764	199	9	form	form	NOUN
ejpam-4764	199	10	is	be	AUX
ejpam-4764	199	11	given	give	VERB
ejpam-4764	199	12	by	by	ADP
ejpam-4764	199	13	ỹi	ỹi	ADJ
ejpam-4764	199	14	(	(	PUNCT
ejpam-4764	199	15	x	x	NOUN
ejpam-4764	199	16	,	,	PUNCT
ejpam-4764	199	17	α	α	NOUN
ejpam-4764	199	18	)	)	PUNCT
ejpam-4764	199	19	=	=	SYM
ejpam-4764	200	1	5∑	5∑	PROPN
ejpam-4764	200	2	n=0	n=0	PROPN
ejpam-4764	200	3	ỹi	ỹi	PROPN
ejpam-4764	200	4	,	,	PUNCT
ejpam-4764	200	5	n	n	PRON
ejpam-4764	200	6	(	(	PUNCT
ejpam-4764	200	7	x	x	NOUN
ejpam-4764	200	8	,	,	PUNCT
ejpam-4764	200	9	α	α	NOUN
ejpam-4764	200	10	)	)	PUNCT
ejpam-4764	200	11	.	.	PUNCT
ejpam-4764	201	1	we	we	PRON
ejpam-4764	201	2	compare	compare	VERB
ejpam-4764	201	3	the	the	DET
ejpam-4764	201	4	approximated	approximated	ADJ
ejpam-4764	201	5	solution	solution	NOUN
ejpam-4764	201	6	using	use	VERB
ejpam-4764	201	7	the	the	DET
ejpam-4764	201	8	hpm	hpm	NOUN
ejpam-4764	201	9	(	(	PUNCT
ejpam-4764	201	10	n	n	NOUN
ejpam-4764	201	11	=	=	SYM
ejpam-4764	201	12	5	5	NUM
ejpam-4764	201	13	)	)	PUNCT
ejpam-4764	201	14	with	with	ADP
ejpam-4764	201	15	the	the	DET
ejpam-4764	201	16	exact	exact	ADJ
ejpam-4764	201	17	solution	solution	NOUN
ejpam-4764	201	18	and	and	CCONJ
ejpam-4764	201	19	the	the	DET
ejpam-4764	201	20	error	error	NOUN
ejpam-4764	201	21	produced	produce	VERB
ejpam-4764	201	22	in	in	ADP
ejpam-4764	201	23	tables	table	NOUN
ejpam-4764	201	24	1–4	1–4	PROPN
ejpam-4764	201	25	.	.	PUNCT
ejpam-4764	201	26	table	table	NOUN
ejpam-4764	201	27	5	5	NUM
ejpam-4764	201	28	demonstrate	demonstrate	VERB
ejpam-4764	201	29	the	the	DET
ejpam-4764	201	30	maximum	maximum	ADJ
ejpam-4764	201	31	errors	error	NOUN
ejpam-4764	201	32	on	on	ADP
ejpam-4764	201	33	the	the	DET
ejpam-4764	201	34	interval	interval	NOUN
ejpam-4764	201	35	0	0	NUM
ejpam-4764	201	36	≤	≤	NUM
ejpam-4764	201	37	x	x	SYM
ejpam-4764	201	38	≤	≤	NUM
ejpam-4764	201	39	1	1	NUM
ejpam-4764	201	40	.	.	PUNCT
ejpam-4764	202	1	w.	w.	PROPN
ejpam-4764	202	2	al	al	PROPN
ejpam-4764	202	3	-	-	PUNCT
ejpam-4764	202	4	hayani	hayani	PROPN
ejpam-4764	202	5	,	,	PUNCT
ejpam-4764	202	6	m	m	VERB
ejpam-4764	202	7	t.	t.	NOUN
ejpam-4764	202	8	younis	younis	PROPN
ejpam-4764	202	9	/	/	SYM
ejpam-4764	202	10	eur	eur	PROPN
ejpam-4764	202	11	.	.	PUNCT
ejpam-4764	203	1	j.	j.	PROPN
ejpam-4764	203	2	pure	pure	PROPN
ejpam-4764	203	3	appl	appl	PROPN
ejpam-4764	203	4	.	.	PROPN
ejpam-4764	203	5	math	math	PROPN
ejpam-4764	203	6	,	,	PUNCT
ejpam-4764	203	7	16	16	NUM
ejpam-4764	203	8	(	(	PUNCT
ejpam-4764	203	9	2	2	NUM
ejpam-4764	203	10	)	)	PUNCT
ejpam-4764	203	11	(	(	PUNCT
ejpam-4764	203	12	2023	2023	NUM
ejpam-4764	203	13	)	)	PUNCT
ejpam-4764	203	14	,	,	PUNCT
ejpam-4764	203	15	1236	1236	NUM
ejpam-4764	203	16	-	-	SYM
ejpam-4764	203	17	1259	1259	NUM
ejpam-4764	203	18	1246	1246	NUM
ejpam-4764	203	19	table	table	NOUN
ejpam-4764	203	20	1	1	NUM
ejpam-4764	203	21	:	:	PUNCT
ejpam-4764	203	22	comparison	comparison	NOUN
ejpam-4764	203	23	of	of	ADP
ejpam-4764	203	24	the	the	DET
ejpam-4764	203	25	numerical	numerical	ADJ
ejpam-4764	203	26	results	result	NOUN
ejpam-4764	203	27	for	for	ADP
ejpam-4764	203	28	y	y	PROPN
ejpam-4764	203	29	1	1	NUM
ejpam-4764	203	30	(	(	PUNCT
ejpam-4764	203	31	x	x	NOUN
ejpam-4764	203	32	,	,	PUNCT
ejpam-4764	203	33	α	α	NOUN
ejpam-4764	203	34	)	)	PUNCT
ejpam-4764	203	35	(	(	PUNCT
ejpam-4764	203	36	problem	problem	NOUN
ejpam-4764	203	37	1	1	NUM
ejpam-4764	203	38	)	)	PUNCT
ejpam-4764	203	39	α	α	NOUN
ejpam-4764	203	40	x	x	PUNCT
ejpam-4764	204	1	y	y	PROPN
ejpam-4764	204	2	1,e	1,e	NUM
ejpam-4764	204	3	(	(	PUNCT
ejpam-4764	204	4	x	x	NOUN
ejpam-4764	204	5	,	,	PUNCT
ejpam-4764	204	6	α	α	NOUN
ejpam-4764	204	7	)	)	PUNCT
ejpam-4764	204	8	y	y	PROPN
ejpam-4764	204	9	1,5	1,5	NUM
ejpam-4764	204	10	(	(	PUNCT
ejpam-4764	204	11	x	x	NOUN
ejpam-4764	204	12	,	,	PUNCT
ejpam-4764	204	13	α	α	NOUN
ejpam-4764	204	14	)	)	PUNCT
ejpam-4764	204	15	ael	ael	PROPN
ejpam-4764	204	16	0.25	0.25	NUM
ejpam-4764	204	17	0.1	0.1	NUM
ejpam-4764	204	18	0.0772542	0.0772542	NUM
ejpam-4764	204	19	0.0772587	0.0772587	NUM
ejpam-4764	204	20	4.531e	4.531e	ADJ
ejpam-4764	204	21	−	−	PROPN
ejpam-4764	204	22	06	06	NUM
ejpam-4764	204	23	0.3	0.3	NUM
ejpam-4764	204	24	0.2022542	0.2022542	NUM
ejpam-4764	204	25	0.2022542	0.2022542	NUM
ejpam-4764	204	26	6.846e	6.846e	ADJ
ejpam-4764	204	27	−	−	NUM
ejpam-4764	204	28	06	06	NUM
ejpam-4764	204	29	0.5	0.5	NUM
ejpam-4764	204	30	0.2500000	0.2500000	NUM
ejpam-4764	204	31	0.2500069	0.2500069	NUM
ejpam-4764	204	32	6.923e	6.923e	NOUN
ejpam-4764	204	33	−	−	NOUN
ejpam-4764	204	34	06	06	NUM
ejpam-4764	204	35	0.7	0.7	NUM
ejpam-4764	204	36	0.2022542	0.2022542	NUM
ejpam-4764	204	37	0.2022610	0.2022610	NUM
ejpam-4764	204	38	6.771e	6.771e	NOUN
ejpam-4764	204	39	−	−	NUM
ejpam-4764	204	40	06	06	NUM
ejpam-4764	204	41	0.9	0.9	NUM
ejpam-4764	204	42	0.0772542	0.0772542	NUM
ejpam-4764	204	43	0.0772589	0.0772589	NUM
ejpam-4764	204	44	4.728e	4.728e	NOUN
ejpam-4764	204	45	−	−	PROPN
ejpam-4764	204	46	06	06	NUM
ejpam-4764	204	47	0.50	0.50	NUM
ejpam-4764	204	48	0.1	0.1	NUM
ejpam-4764	204	49	0.1545084	0.1545084	NUM
ejpam-4764	204	50	0.1545163	0.1545163	NUM
ejpam-4764	204	51	7.849e	7.849e	NOUN
ejpam-4764	204	52	−	−	NOUN
ejpam-4764	204	53	06	06	NUM
ejpam-4764	204	54	0.3	0.3	NUM
ejpam-4764	204	55	0.4045084	0.4045084	NUM
ejpam-4764	204	56	0.4045203	0.4045203	NUM
ejpam-4764	204	57	1.185e	1.185e	NUM
ejpam-4764	204	58	−	−	NOUN
ejpam-4764	204	59	05	05	NUM
ejpam-4764	204	60	0.5	0.5	NUM
ejpam-4764	204	61	0.5000000	0.5000000	NUM
ejpam-4764	204	62	0.5000119	0.5000119	NUM
ejpam-4764	204	63	1.198e	1.198e	NUM
ejpam-4764	204	64	−	−	NUM
ejpam-4764	204	65	05	05	NUM
ejpam-4764	204	66	0.7	0.7	NUM
ejpam-4764	204	67	0.4045084	0.4045084	NUM
ejpam-4764	204	68	0.4045202	0.4045202	NUM
ejpam-4764	204	69	1.172e	1.172e	NUM
ejpam-4764	204	70	−	−	NUM
ejpam-4764	204	71	05	05	NUM
ejpam-4764	204	72	0.9	0.9	NUM
ejpam-4764	204	73	0.1545084	0.1545084	NUM
ejpam-4764	204	74	0.1545166	0.1545166	NUM
ejpam-4764	204	75	8.188e	8.188e	NUM
ejpam-4764	204	76	−	−	NUM
ejpam-4764	204	77	06	06	NUM
ejpam-4764	205	1	0.75	0.75	NUM
ejpam-4764	205	2	0.1	0.1	NUM
ejpam-4764	205	3	0.2317627	0.2317627	NUM
ejpam-4764	205	4	0.2317739	0.2317739	NUM
ejpam-4764	205	5	1.116e	1.116e	NUM
ejpam-4764	205	6	−	−	NOUN
ejpam-4764	205	7	05	05	NUM
ejpam-4764	205	8	0.3	0.3	NUM
ejpam-4764	205	9	0.6067627	0.6067627	NUM
ejpam-4764	205	10	0.6067796	0.6067796	NUM
ejpam-4764	205	11	1.685e	1.685e	NUM
ejpam-4764	205	12	−	−	NUM
ejpam-4764	205	13	05	05	NUM
ejpam-4764	205	14	0.5	0.5	NUM
ejpam-4764	205	15	0.7500000	0.7500000	NUM
ejpam-4764	205	16	0.7500170	0.7500170	NUM
ejpam-4764	205	17	1.704e	1.704e	NUM
ejpam-4764	205	18	−	−	NOUN
ejpam-4764	205	19	05	05	NUM
ejpam-4764	206	1	0.7	0.7	NUM
ejpam-4764	206	2	0.6067627	0.6067627	NUM
ejpam-4764	206	3	0.6067794	0.6067794	NUM
ejpam-4764	206	4	1.667e	1.667e	NUM
ejpam-4764	206	5	−	−	NOUN
ejpam-4764	206	6	05	05	NUM
ejpam-4764	206	7	0.9	0.9	NUM
ejpam-4764	206	8	0.2317627	0.2317627	NUM
ejpam-4764	206	9	0.2317743	0.2317743	NUM
ejpam-4764	206	10	1.164e	1.164e	NOUN
ejpam-4764	206	11	−	−	NOUN
ejpam-4764	206	12	05	05	NUM
ejpam-4764	206	13	1.00	1.00	NUM
ejpam-4764	206	14	0.1	0.1	NUM
ejpam-4764	206	15	0.3090169	0.3090169	NUM
ejpam-4764	206	16	0.3090314	0.3090314	NUM
ejpam-4764	206	17	1.448e	1.448e	NUM
ejpam-4764	206	18	−	−	NOUN
ejpam-4764	206	19	05	05	NUM
ejpam-4764	207	1	0.3	0.3	NUM
ejpam-4764	207	2	0.8090169	0.8090169	NUM
ejpam-4764	207	3	0.8090388	0.8090388	NUM
ejpam-4764	207	4	2.186e	2.186e	NUM
ejpam-4764	207	5	−	−	NOUN
ejpam-4764	207	6	05	05	NUM
ejpam-4764	207	7	0.5	0.5	NUM
ejpam-4764	207	8	1.0000000	1.0000000	NUM
ejpam-4764	207	9	1.0000221	1.0000221	NUM
ejpam-4764	207	10	2.210e	2.210e	ADJ
ejpam-4764	207	11	−	−	NOUN
ejpam-4764	207	12	05	05	NUM
ejpam-4764	207	13	0.7	0.7	NUM
ejpam-4764	207	14	0.8090169	0.8090169	NUM
ejpam-4764	207	15	0.8090386	0.8090386	NUM
ejpam-4764	207	16	2.162e	2.162e	NUM
ejpam-4764	207	17	−	−	NOUN
ejpam-4764	208	1	05	05	NUM
ejpam-4764	209	1	0.9	0.9	NUM
ejpam-4764	209	2	0.3090169	0.3090169	NUM
ejpam-4764	209	3	0.3090321	0.3090321	NUM
ejpam-4764	209	4	1.510e	1.510e	NUM
ejpam-4764	209	5	−	−	NUM
ejpam-4764	209	6	05	05	NUM
ejpam-4764	209	7	table	table	NOUN
ejpam-4764	209	8	2	2	NUM
ejpam-4764	209	9	:	:	PUNCT
ejpam-4764	209	10	comparison	comparison	NOUN
ejpam-4764	209	11	of	of	ADP
ejpam-4764	209	12	the	the	DET
ejpam-4764	209	13	numerical	numerical	ADJ
ejpam-4764	209	14	results	result	NOUN
ejpam-4764	209	15	for	for	ADP
ejpam-4764	209	16	y1	y1	NOUN
ejpam-4764	209	17	(	(	PUNCT
ejpam-4764	209	18	x	x	NOUN
ejpam-4764	209	19	,	,	PUNCT
ejpam-4764	209	20	α	α	NOUN
ejpam-4764	209	21	)	)	PUNCT
ejpam-4764	209	22	(	(	PUNCT
ejpam-4764	209	23	problem	problem	NOUN
ejpam-4764	209	24	1	1	NUM
ejpam-4764	209	25	)	)	PUNCT
ejpam-4764	209	26	α	α	NOUN
ejpam-4764	209	27	x	x	X
ejpam-4764	209	28	y1,e	y1,e	PROPN
ejpam-4764	209	29	(	(	PUNCT
ejpam-4764	209	30	x	x	NOUN
ejpam-4764	209	31	,	,	PUNCT
ejpam-4764	209	32	α	α	NOUN
ejpam-4764	209	33	)	)	PUNCT
ejpam-4764	209	34	y1,5	y1,5	PROPN
ejpam-4764	209	35	(	(	PUNCT
ejpam-4764	209	36	x	x	NOUN
ejpam-4764	209	37	,	,	PUNCT
ejpam-4764	209	38	α	α	NOUN
ejpam-4764	209	39	)	)	PUNCT
ejpam-4764	209	40	aeu	aeu	ADV
ejpam-4764	209	41	0.25	0.25	NUM
ejpam-4764	209	42	0.1	0.1	NUM
ejpam-4764	209	43	0.5407797	0.5407797	NUM
ejpam-4764	210	1	0.5408069	0.5408069	NUM
ejpam-4764	210	2	2.716e	2.716e	NUM
ejpam-4764	211	1	−	−	NOUN
ejpam-4764	212	1	05	05	NUM
ejpam-4764	213	1	0.3	0.3	NUM
ejpam-4764	213	2	1.4157797	1.4157797	NUM
ejpam-4764	213	3	1.4158207	1.4158207	NUM
ejpam-4764	213	4	4.101e	4.101e	NUM
ejpam-4764	213	5	−	−	NOUN
ejpam-4764	213	6	05	05	NUM
ejpam-4764	213	7	0.5	0.5	NUM
ejpam-4764	213	8	1.75000000	1.75000000	NUM
ejpam-4764	213	9	1.7500414	1.7500414	NUM
ejpam-4764	213	10	4.147e	4.147e	NUM
ejpam-4764	213	11	−	−	NOUN
ejpam-4764	213	12	05	05	NUM
ejpam-4764	214	1	0.7	0.7	NUM
ejpam-4764	214	2	1.4157797	1.4157797	NUM
ejpam-4764	214	3	1.4158203	1.4158203	NUM
ejpam-4764	214	4	4.056e	4.056e	NOUN
ejpam-4764	214	5	−	−	NOUN
ejpam-4764	214	6	05	05	NUM
ejpam-4764	214	7	0.9	0.9	NUM
ejpam-4764	214	8	0.5407797	0.5407797	NUM
ejpam-4764	214	9	0.5408080	0.5408080	NUM
ejpam-4764	214	10	2.834e	2.834e	NUM
ejpam-4764	214	11	−	−	NOUN
ejpam-4764	214	12	05	05	NUM
ejpam-4764	214	13	0.50	0.50	NUM
ejpam-4764	214	14	0.1	0.1	NUM
ejpam-4764	214	15	0.4635254	0.4635254	NUM
ejpam-4764	214	16	0.4635484	0.4635484	NUM
ejpam-4764	214	17	2.294e	2.294e	NUM
ejpam-4764	214	18	−	−	PROPN
ejpam-4764	214	19	05	05	NUM
ejpam-4764	214	20	0.3	0.3	NUM
ejpam-4764	214	21	1.2135254	1.2135254	NUM
ejpam-4764	214	22	1.2135601	1.2135601	NUM
ejpam-4764	214	23	3.463e	3.463e	NOUN
ejpam-4764	214	24	−	−	NOUN
ejpam-4764	214	25	05	05	NUM
ejpam-4764	214	26	0.5	0.5	NUM
ejpam-4764	214	27	1.5000000	1.5000000	NUM
ejpam-4764	214	28	1.5000350	1.5000350	NUM
ejpam-4764	214	29	3.501e	3.501e	NUM
ejpam-4764	214	30	−	−	NOUN
ejpam-4764	214	31	05	05	NUM
ejpam-4764	214	32	0.7	0.7	NUM
ejpam-4764	214	33	1.2135254	1.2135254	NUM
ejpam-4764	214	34	1.2135597	1.2135597	NUM
ejpam-4764	214	35	3.425e	3.425e	NUM
ejpam-4764	214	36	−	−	NOUN
ejpam-4764	215	1	05	05	NUM
ejpam-4764	216	1	0.9	0.9	NUM
ejpam-4764	216	2	0.4635254	0.4635254	NUM
ejpam-4764	216	3	0.4635494	0.4635494	NUM
ejpam-4764	216	4	2.393e	2.393e	NUM
ejpam-4764	216	5	−	−	NUM
ejpam-4764	216	6	05	05	NUM
ejpam-4764	216	7	0.75	0.75	NUM
ejpam-4764	216	8	0.1	0.1	NUM
ejpam-4764	216	9	0.3862712	0.3862712	NUM
ejpam-4764	216	10	0.3862899	0.3862899	NUM
ejpam-4764	216	11	1.871e	1.871e	NUM
ejpam-4764	216	12	−	−	NOUN
ejpam-4764	216	13	05	05	NUM
ejpam-4764	216	14	0.3	0.3	NUM
ejpam-4764	216	15	1.0112712	1.0112712	NUM
ejpam-4764	216	16	1.0112994	1.0112994	NUM
ejpam-4764	216	17	2.824e	2.824e	NUM
ejpam-4764	216	18	−	−	NOUN
ejpam-4764	216	19	05	05	NUM
ejpam-4764	216	20	0.5	0.5	NUM
ejpam-4764	216	21	1.2500000	1.2500000	NUM
ejpam-4764	216	22	1.2500285	1.2500285	NUM
ejpam-4764	216	23	2.855e	2.855e	NUM
ejpam-4764	216	24	−	−	NOUN
ejpam-4764	216	25	05	05	NUM
ejpam-4764	216	26	0.7	0.7	NUM
ejpam-4764	216	27	1.0112712	1.0112712	NUM
ejpam-4764	216	28	1.0112991	1.0112991	NUM
ejpam-4764	216	29	2.793e	2.793e	NOUN
ejpam-4764	216	30	−	−	PROPN
ejpam-4764	216	31	05	05	NUM
ejpam-4764	216	32	0.9	0.9	NUM
ejpam-4764	216	33	0.3862712	0.3862712	NUM
ejpam-4764	216	34	0.3862907	0.3862907	NUM
ejpam-4764	216	35	1.952e	1.952e	NUM
ejpam-4764	216	36	−	−	PROPN
ejpam-4764	216	37	05	05	NUM
ejpam-4764	216	38	1.00	1.00	NUM
ejpam-4764	216	39	0.1	0.1	NUM
ejpam-4764	216	40	0.3090169	0.3090169	NUM
ejpam-4764	216	41	0.3090314	0.3090314	NUM
ejpam-4764	216	42	1448e	1448e	NUM
ejpam-4764	216	43	−	−	PROPN
ejpam-4764	216	44	05	05	NUM
ejpam-4764	216	45	0.3	0.3	NUM
ejpam-4764	216	46	0.8090169	0.8090169	NUM
ejpam-4764	216	47	0.8090388	0.8090388	NUM
ejpam-4764	216	48	2.186e	2.186e	NUM
ejpam-4764	216	49	−	−	NOUN
ejpam-4764	216	50	05	05	NUM
ejpam-4764	216	51	0.5	0.5	NUM
ejpam-4764	216	52	1.0000000	1.0000000	NUM
ejpam-4764	216	53	1.0000221	1.0000221	NUM
ejpam-4764	216	54	2.210e	2.210e	ADJ
ejpam-4764	216	55	−	−	NOUN
ejpam-4764	216	56	05	05	NUM
ejpam-4764	216	57	0.7	0.7	NUM
ejpam-4764	216	58	0.8090169	0.8090169	NUM
ejpam-4764	216	59	0.8090386	0.8090386	NUM
ejpam-4764	216	60	2.162e	2.162e	NUM
ejpam-4764	216	61	−	−	NOUN
ejpam-4764	216	62	05	05	NUM
ejpam-4764	216	63	0.9	0.9	NUM
ejpam-4764	216	64	0.3090169	0.3090169	NUM
ejpam-4764	216	65	0.3090321	0.3090321	NUM
ejpam-4764	216	66	1.510e	1.510e	NUM
ejpam-4764	216	67	−	−	PROPN
ejpam-4764	216	68	05	05	NUM
ejpam-4764	217	1	w.	w.	PROPN
ejpam-4764	217	2	al	al	PROPN
ejpam-4764	217	3	-	-	PUNCT
ejpam-4764	217	4	hayani	hayani	PROPN
ejpam-4764	217	5	,	,	PUNCT
ejpam-4764	217	6	m	m	VERB
ejpam-4764	217	7	t.	t.	NOUN
ejpam-4764	217	8	younis	younis	PROPN
ejpam-4764	217	9	/	/	SYM
ejpam-4764	217	10	eur	eur	PROPN
ejpam-4764	217	11	.	.	PUNCT
ejpam-4764	218	1	j.	j.	PROPN
ejpam-4764	218	2	pure	pure	PROPN
ejpam-4764	218	3	appl	appl	PROPN
ejpam-4764	218	4	.	.	PROPN
ejpam-4764	218	5	math	math	PROPN
ejpam-4764	218	6	,	,	PUNCT
ejpam-4764	218	7	16	16	NUM
ejpam-4764	218	8	(	(	PUNCT
ejpam-4764	218	9	2	2	NUM
ejpam-4764	218	10	)	)	PUNCT
ejpam-4764	218	11	(	(	PUNCT
ejpam-4764	218	12	2023	2023	NUM
ejpam-4764	218	13	)	)	PUNCT
ejpam-4764	218	14	,	,	PUNCT
ejpam-4764	218	15	1236	1236	NUM
ejpam-4764	218	16	-	-	SYM
ejpam-4764	218	17	1259	1259	NUM
ejpam-4764	218	18	1247	1247	NUM
ejpam-4764	218	19	table	table	NOUN
ejpam-4764	218	20	3	3	NUM
ejpam-4764	218	21	:	:	PUNCT
ejpam-4764	218	22	comparison	comparison	NOUN
ejpam-4764	218	23	of	of	ADP
ejpam-4764	218	24	the	the	DET
ejpam-4764	218	25	numerical	numerical	ADJ
ejpam-4764	218	26	results	result	NOUN
ejpam-4764	218	27	for	for	ADP
ejpam-4764	218	28	y	y	PROPN
ejpam-4764	218	29	2	2	NUM
ejpam-4764	218	30	(	(	PUNCT
ejpam-4764	218	31	x	x	NOUN
ejpam-4764	218	32	,	,	PUNCT
ejpam-4764	218	33	α	α	NOUN
ejpam-4764	218	34	)	)	PUNCT
ejpam-4764	218	35	(	(	PUNCT
ejpam-4764	218	36	problem	problem	NOUN
ejpam-4764	218	37	1	1	NUM
ejpam-4764	218	38	)	)	PUNCT
ejpam-4764	218	39	α	α	NOUN
ejpam-4764	218	40	x	x	VERB
ejpam-4764	218	41	y	y	PROPN
ejpam-4764	218	42	2,e	2,e	PROPN
ejpam-4764	218	43	(	(	PUNCT
ejpam-4764	218	44	x	x	NOUN
ejpam-4764	218	45	,	,	PUNCT
ejpam-4764	218	46	α	α	NOUN
ejpam-4764	218	47	)	)	PUNCT
ejpam-4764	218	48	y	y	PROPN
ejpam-4764	218	49	2,5	2,5	NUM
ejpam-4764	218	50	(	(	PUNCT
ejpam-4764	218	51	x	x	NOUN
ejpam-4764	218	52	,	,	PUNCT
ejpam-4764	218	53	α	α	NOUN
ejpam-4764	218	54	)	)	PUNCT
ejpam-4764	218	55	ael	ael	PROPN
ejpam-4764	218	56	0.25	0.25	NUM
ejpam-4764	218	57	0.1	0.1	NUM
ejpam-4764	218	58	−0.056250	−0.056250	NUM
ejpam-4764	219	1	−0.0562509	−0.0562509	X
ejpam-4764	219	2	9.101e	9.101e	NUM
ejpam-4764	219	3	−	−	NOUN
ejpam-4764	219	4	07	07	NUM
ejpam-4764	219	5	0.3	0.3	NUM
ejpam-4764	219	6	−0.131250	−0.131250	PROPN
ejpam-4764	220	1	−0.1312525	−0.1312525	X
ejpam-4764	220	2	2.542e	2.542e	NOUN
ejpam-4764	220	3	−	−	NOUN
ejpam-4764	220	4	06	06	NUM
ejpam-4764	220	5	0.5	0.5	NUM
ejpam-4764	221	1	−0.156250	−0.156250	NUM
ejpam-4764	221	2	−0.1562534	−0.1562534	NUM
ejpam-4764	221	3	3.486e	3.486e	NUM
ejpam-4764	221	4	−	−	PROPN
ejpam-4764	221	5	06	06	NUM
ejpam-4764	221	6	0.7	0.7	NUM
ejpam-4764	221	7	−0.131250	−0.131250	NUM
ejpam-4764	221	8	−0.1312532	−0.1312532	X
ejpam-4764	221	9	3.256e	3.256e	NOUN
ejpam-4764	221	10	−	−	PROPN
ejpam-4764	221	11	06	06	NUM
ejpam-4764	221	12	0.9	0.9	NUM
ejpam-4764	221	13	−0.056250	−0.056250	NUM
ejpam-4764	221	14	−0.0562514	−0.0562514	NOUN
ejpam-4764	221	15	1.452e	1.452e	NUM
ejpam-4764	221	16	−	−	PROPN
ejpam-4764	221	17	06	06	NUM
ejpam-4764	221	18	0.50	0.50	NUM
ejpam-4764	221	19	0.1	0.1	NUM
ejpam-4764	221	20	−0.067500	−0.067500	NUM
ejpam-4764	221	21	−0.6750158	−0.6750158	NOUN
ejpam-4764	221	22	1.583e	1.583e	NUM
ejpam-4764	221	23	−	−	NOUN
ejpam-4764	221	24	05	05	NUM
ejpam-4764	221	25	0.3	0.3	NUM
ejpam-4764	221	26	−0.157500	−0.157500	NOUN
ejpam-4764	221	27	−0.1575044	−0.1575044	PROPN
ejpam-4764	221	28	4.423e	4.423e	NOUN
ejpam-4764	221	29	−	−	PROPN
ejpam-4764	221	30	06	06	NUM
ejpam-4764	221	31	0.5	0.5	NUM
ejpam-4764	221	32	−0.187500	−0.187500	NOUN
ejpam-4764	221	33	−0.1875060	−0.1875060	X
ejpam-4764	221	34	6.065e	6.065e	NUM
ejpam-4764	221	35	−	−	NOUN
ejpam-4764	221	36	06	06	NUM
ejpam-4764	221	37	0.7	0.7	NUM
ejpam-4764	221	38	−0.157500	−0.157500	NOUN
ejpam-4764	221	39	−.01575056	−.01575056	SYM
ejpam-4764	221	40	5.665e	5.665e	NUM
ejpam-4764	221	41	−	−	NOUN
ejpam-4764	221	42	06	06	NUM
ejpam-4764	221	43	0.9	0.9	NUM
ejpam-4764	221	44	−0.067500	−0.067500	NUM
ejpam-4764	221	45	−0.0675025	−0.0675025	NUM
ejpam-4764	221	46	2.527e	2.527e	ADJ
ejpam-4764	221	47	−	−	NUM
ejpam-4764	221	48	06	06	NUM
ejpam-4764	222	1	0.75	0.75	NUM
ejpam-4764	222	2	0.1	0.1	NUM
ejpam-4764	222	3	−0.787500	−0.787500	NUM
ejpam-4764	222	4	−0.7875225	−0.7875225	X
ejpam-4764	222	5	2.256e	2.256e	NUM
ejpam-4764	222	6	−	−	PROPN
ejpam-4764	222	7	06	06	NUM
ejpam-4764	222	8	0.3	0.3	NUM
ejpam-4764	222	9	−0.183750	−0.183750	NOUN
ejpam-4764	222	10	−0.1837563	−0.1837563	ADP
ejpam-4764	222	11	6.304e	6.304e	NUM
ejpam-4764	222	12	−	−	NOUN
ejpam-4764	222	13	06	06	NUM
ejpam-4764	222	14	0.5	0.5	NUM
ejpam-4764	222	15	−0.218750	−0.218750	X
ejpam-4764	222	16	−0.2187586	−0.2187586	X
ejpam-4764	222	17	8.644e	8.644e	NUM
ejpam-4764	222	18	−	−	PROPN
ejpam-4764	222	19	06	06	NUM
ejpam-4764	222	20	0.7	0.7	NUM
ejpam-4764	222	21	−0.183750	−0.183750	NOUN
ejpam-4764	222	22	−0.1837580	−0.1837580	X
ejpam-4764	222	23	8.074e	8.074e	NUM
ejpam-4764	222	24	−	−	NOUN
ejpam-4764	222	25	06	06	NUM
ejpam-4764	222	26	0.9	0.9	NUM
ejpam-4764	222	27	−0.787500	−0.787500	NUM
ejpam-4764	222	28	−0.7875360	−0.7875360	NUM
ejpam-4764	222	29	3.601e	3.601e	NUM
ejpam-4764	222	30	−	−	NOUN
ejpam-4764	222	31	06	06	NUM
ejpam-4764	222	32	1.00	1.00	NUM
ejpam-4764	222	33	0.1	0.1	NUM
ejpam-4764	222	34	−0.900000	−0.900000	NUM
ejpam-4764	222	35	−0.9000292	−0.9000292	NUM
ejpam-4764	222	36	2.929e	2.929e	NUM
ejpam-4764	222	37	−	−	NUM
ejpam-4764	222	38	06	06	NUM
ejpam-4764	222	39	0.3	0.3	NUM
ejpam-4764	222	40	−0.210000	−0.210000	NUM
ejpam-4764	222	41	−0.2100081	−0.2100081	ADP
ejpam-4764	222	42	8.186e	8.186e	NUM
ejpam-4764	222	43	−	−	NUM
ejpam-4764	222	44	06	06	NUM
ejpam-4764	222	45	0.5	0.5	NUM
ejpam-4764	222	46	−0.250000	−0.250000	NUM
ejpam-4764	222	47	−0.2500112	−0.2500112	PROPN
ejpam-4764	222	48	1.122e	1.122e	NUM
ejpam-4764	222	49	−	−	NOUN
ejpam-4764	222	50	05	05	NUM
ejpam-4764	222	51	0.7	0.7	NUM
ejpam-4764	222	52	−0.210000	−0.210000	NUM
ejpam-4764	222	53	−0.2100104	−0.2100104	X
ejpam-4764	223	1	1.048e	1.048e	NUM
ejpam-4764	223	2	−	−	NOUN
ejpam-4764	223	3	05	05	NUM
ejpam-4764	223	4	0.9	0.9	NUM
ejpam-4764	223	5	−0.900000	−0.900000	NUM
ejpam-4764	223	6	−0.9000467	−0.9000467	VERB
ejpam-4764	223	7	4.675e	4.675e	NUM
ejpam-4764	223	8	−	−	NUM
ejpam-4764	223	9	06	06	NUM
ejpam-4764	223	10	table	table	NOUN
ejpam-4764	223	11	4	4	NUM
ejpam-4764	223	12	:	:	PUNCT
ejpam-4764	223	13	comparison	comparison	NOUN
ejpam-4764	223	14	of	of	ADP
ejpam-4764	223	15	the	the	DET
ejpam-4764	223	16	numerical	numerical	ADJ
ejpam-4764	223	17	results	result	NOUN
ejpam-4764	223	18	for	for	ADP
ejpam-4764	223	19	y2	y2	PROPN
ejpam-4764	223	20	(	(	PUNCT
ejpam-4764	223	21	x	x	NOUN
ejpam-4764	223	22	,	,	PUNCT
ejpam-4764	223	23	α	α	NOUN
ejpam-4764	223	24	)	)	PUNCT
ejpam-4764	223	25	(	(	PUNCT
ejpam-4764	223	26	problem	problem	NOUN
ejpam-4764	223	27	1	1	NUM
ejpam-4764	223	28	)	)	PUNCT
ejpam-4764	223	29	α	α	NOUN
ejpam-4764	223	30	x	x	X
ejpam-4764	223	31	y2,e	y2,e	PROPN
ejpam-4764	223	32	(	(	PUNCT
ejpam-4764	223	33	x	x	NOUN
ejpam-4764	223	34	,	,	PUNCT
ejpam-4764	223	35	α	α	NOUN
ejpam-4764	223	36	)	)	PUNCT
ejpam-4764	223	37	y2,5	y2,5	PROPN
ejpam-4764	223	38	(	(	PUNCT
ejpam-4764	223	39	x	x	NOUN
ejpam-4764	223	40	,	,	PUNCT
ejpam-4764	223	41	α	α	NOUN
ejpam-4764	223	42	)	)	PUNCT
ejpam-4764	223	43	aeu	aeu	ADV
ejpam-4764	223	44	0.25	0.25	NUM
ejpam-4764	223	45	0.1	0.1	NUM
ejpam-4764	223	46	−0.2250	−0.2250	NUM
ejpam-4764	224	1	−0.2250054	−0.2250054	NOUN
ejpam-4764	225	1	5.048e	5.048e	NUM
ejpam-4764	225	2	−	−	NOUN
ejpam-4764	225	3	06	06	NUM
ejpam-4764	225	4	0.3	0.3	NUM
ejpam-4764	225	5	−0.5250	−0.5250	NUM
ejpam-4764	225	6	−0.5250153	−0.5250153	VERB
ejpam-4764	225	7	1.531e	1.531e	NUM
ejpam-4764	225	8	−	−	NOUN
ejpam-4764	225	9	05	05	NUM
ejpam-4764	225	10	0.5	0.5	NUM
ejpam-4764	225	11	−0.6250	−0.6250	NUM
ejpam-4764	225	12	−0.6250210	−0.6250210	NOUN
ejpam-4764	225	13	2.100e	2.100e	NUM
ejpam-4764	226	1	−	−	NOUN
ejpam-4764	226	2	05	05	NUM
ejpam-4764	226	3	0.7	0.7	NUM
ejpam-4764	226	4	−0.5250	−0.5250	NUM
ejpam-4764	226	5	−0.5250196	−0.5250196	X
ejpam-4764	226	6	1.961e	1.961e	NUM
ejpam-4764	226	7	−	−	NOUN
ejpam-4764	226	8	05	05	NUM
ejpam-4764	226	9	0.9	0.9	NUM
ejpam-4764	226	10	−0.2250	−0.2250	NUM
ejpam-4764	226	11	−0.2250087	−0.2250087	PROPN
ejpam-4764	226	12	8.750e	8.750e	NUM
ejpam-4764	226	13	−	−	PROPN
ejpam-4764	226	14	06	06	NUM
ejpam-4764	226	15	0.50	0.50	NUM
ejpam-4764	226	16	0.1	0.1	NUM
ejpam-4764	226	17	−0.1800	−0.1800	PROPN
ejpam-4764	226	18	−0.1800046	−0.1800046	NUM
ejpam-4764	226	19	4.631e	4.631e	NOUN
ejpam-4764	226	20	−	−	PROPN
ejpam-4764	226	21	06	06	NUM
ejpam-4764	226	22	0.3	0.3	NUM
ejpam-4764	226	23	−0.3200	−0.3200	NUM
ejpam-4764	226	24	−0.3200090	−0.3200090	PRON
ejpam-4764	226	25	9.056e	9.056e	NOUN
ejpam-4764	226	26	−	−	PROPN
ejpam-4764	226	27	06	06	NUM
ejpam-4764	226	28	0.5	0.5	NUM
ejpam-4764	226	29	−0.5000	−0.5000	NUM
ejpam-4764	226	30	−0.5000177	−0.5000177	NUM
ejpam-4764	226	31	1.774e	1.774e	NUM
ejpam-4764	226	32	−	−	NOUN
ejpam-4764	226	33	05	05	NUM
ejpam-4764	226	34	0.7	0.7	NUM
ejpam-4764	226	35	−0.4200	−0.4200	X
ejpam-4764	226	36	−.04200165	−.04200165	NUM
ejpam-4764	226	37	1.657e	1.657e	NUM
ejpam-4764	226	38	−	−	NOUN
ejpam-4764	226	39	05	05	NUM
ejpam-4764	226	40	0.9	0.9	NUM
ejpam-4764	226	41	−0.1800	−0.1800	PROPN
ejpam-4764	226	42	−0.1800073	−0.1800073	NOUN
ejpam-4764	226	43	7.392e	7.392e	PROPN
ejpam-4764	226	44	−	−	SYM
ejpam-4764	226	45	06	06	NUM
ejpam-4764	226	46	0.75	0.75	NUM
ejpam-4764	226	47	0.1	0.1	NUM
ejpam-4764	226	48	−0.1350	−0.1350	NUM
ejpam-4764	226	49	−0.1350037	−0.1350037	PROPN
ejpam-4764	227	1	3.780e	3.780e	NUM
ejpam-4764	227	2	−	−	PROPN
ejpam-4764	227	3	06	06	NUM
ejpam-4764	227	4	0.3	0.3	NUM
ejpam-4764	227	5	−0.3150	−0.3150	PROPN
ejpam-4764	227	6	−0.3150105	−0.3150105	PROPN
ejpam-4764	227	7	1.056e	1.056e	NOUN
ejpam-4764	227	8	−	−	NOUN
ejpam-4764	228	1	05	05	NUM
ejpam-4764	228	2	0.5	0.5	NUM
ejpam-4764	228	3	−0.3750	−0.3750	NOUN
ejpam-4764	228	4	−0.3750144	−0.3750144	NOUN
ejpam-4764	228	5	1.448e	1.448e	NUM
ejpam-4764	228	6	−	−	NOUN
ejpam-4764	228	7	05	05	NUM
ejpam-4764	228	8	0.7	0.7	NUM
ejpam-4764	228	9	−0.3150	−0.3150	NOUN
ejpam-4764	228	10	−0.3150135	−0.3150135	PROPN
ejpam-4764	229	1	1.352e	1.352e	NUM
ejpam-4764	229	2	−	−	NOUN
ejpam-4764	229	3	05	05	NUM
ejpam-4764	229	4	0.9	0.9	NUM
ejpam-4764	229	5	−0.1350	−0.1350	PROPN
ejpam-4764	229	6	−0.1350060	−0.1350060	NOUN
ejpam-4764	229	7	6.034e	6.034e	NUM
ejpam-4764	229	8	−	−	NOUN
ejpam-4764	229	9	06	06	NUM
ejpam-4764	229	10	1.00	1.00	NUM
ejpam-4764	229	11	0.1	0.1	NUM
ejpam-4764	229	12	−0.9000	−0.9000	NUM
ejpam-4764	230	1	−0.9000292	−0.9000292	NUM
ejpam-4764	230	2	2.929e	2.929e	NUM
ejpam-4764	230	3	−	−	NUM
ejpam-4764	230	4	06	06	NUM
ejpam-4764	230	5	0.3	0.3	NUM
ejpam-4764	230	6	−0.2100	−0.2100	NUM
ejpam-4764	231	1	−0.2100081	−0.2100081	X
ejpam-4764	231	2	8.186e	8.186e	NUM
ejpam-4764	231	3	−	−	NUM
ejpam-4764	231	4	06	06	NUM
ejpam-4764	231	5	0.5	0.5	NUM
ejpam-4764	231	6	−0.2500	−0.2500	PROPN
ejpam-4764	231	7	−0.2500112	−0.2500112	PROPN
ejpam-4764	231	8	1.122e	1.122e	NUM
ejpam-4764	231	9	−	−	NOUN
ejpam-4764	231	10	05	05	NUM
ejpam-4764	231	11	0.7	0.7	NUM
ejpam-4764	231	12	−0.2100	−0.2100	NOUN
ejpam-4764	231	13	−0.2100104	−0.2100104	X
ejpam-4764	232	1	1.048e	1.048e	NUM
ejpam-4764	232	2	−	−	NUM
ejpam-4764	232	3	05	05	NUM
ejpam-4764	232	4	0.9	0.9	NUM
ejpam-4764	232	5	−0.9000	−0.9000	NUM
ejpam-4764	232	6	−0.9000467	−0.9000467	NOUN
ejpam-4764	232	7	4.675e	4.675e	NUM
ejpam-4764	232	8	−	−	PROPN
ejpam-4764	232	9	06	06	NUM
ejpam-4764	232	10	w.	w.	PROPN
ejpam-4764	232	11	al	al	PROPN
ejpam-4764	232	12	-	-	PUNCT
ejpam-4764	232	13	hayani	hayani	PROPN
ejpam-4764	232	14	,	,	PUNCT
ejpam-4764	232	15	m	m	VERB
ejpam-4764	232	16	t.	t.	NOUN
ejpam-4764	232	17	younis	younis	PROPN
ejpam-4764	232	18	/	/	SYM
ejpam-4764	232	19	eur	eur	PROPN
ejpam-4764	232	20	.	.	PUNCT
ejpam-4764	233	1	j.	j.	PROPN
ejpam-4764	233	2	pure	pure	PROPN
ejpam-4764	233	3	appl	appl	PROPN
ejpam-4764	233	4	.	.	PROPN
ejpam-4764	233	5	math	math	PROPN
ejpam-4764	233	6	,	,	PUNCT
ejpam-4764	233	7	16	16	NUM
ejpam-4764	233	8	(	(	PUNCT
ejpam-4764	233	9	2	2	NUM
ejpam-4764	233	10	)	)	PUNCT
ejpam-4764	233	11	(	(	PUNCT
ejpam-4764	233	12	2023	2023	NUM
ejpam-4764	233	13	)	)	PUNCT
ejpam-4764	233	14	,	,	PUNCT
ejpam-4764	233	15	1236	1236	NUM
ejpam-4764	233	16	-	-	SYM
ejpam-4764	233	17	1259	1259	NUM
ejpam-4764	233	18	1248	1248	NUM
ejpam-4764	233	19	table	table	NOUN
ejpam-4764	233	20	5	5	NUM
ejpam-4764	233	21	:	:	PUNCT
ejpam-4764	233	22	maximum	maximum	ADJ
ejpam-4764	233	23	errors	error	NOUN
ejpam-4764	233	24	(	(	PUNCT
ejpam-4764	233	25	problem	problem	NOUN
ejpam-4764	233	26	1	1	NUM
ejpam-4764	233	27	)	)	PUNCT
ejpam-4764	233	28	ỹ1	ỹ1	NOUN
ejpam-4764	233	29	(	(	PUNCT
ejpam-4764	233	30	x	x	NOUN
ejpam-4764	233	31	,	,	PUNCT
ejpam-4764	233	32	α	α	NOUN
ejpam-4764	233	33	)	)	PUNCT
ejpam-4764	233	34	ỹ2	ỹ2	PROPN
ejpam-4764	233	35	(	(	PUNCT
ejpam-4764	233	36	x	x	NOUN
ejpam-4764	233	37	,	,	PUNCT
ejpam-4764	233	38	α	α	NOUN
ejpam-4764	233	39	)	)	PUNCT
ejpam-4764	233	40	α	α	PROPN
ejpam-4764	233	41	n	n	VERB
ejpam-4764	233	42	y	y	PROPN
ejpam-4764	233	43	1	1	NUM
ejpam-4764	233	44	(	(	PUNCT
ejpam-4764	233	45	x	x	NOUN
ejpam-4764	233	46	,	,	PUNCT
ejpam-4764	233	47	α	α	NOUN
ejpam-4764	233	48	)	)	PUNCT
ejpam-4764	233	49	y1	y1	NOUN
ejpam-4764	233	50	(	(	PUNCT
ejpam-4764	233	51	x	x	NOUN
ejpam-4764	233	52	,	,	PUNCT
ejpam-4764	233	53	α	α	NOUN
ejpam-4764	233	54	)	)	PUNCT
ejpam-4764	233	55	y	y	PROPN
ejpam-4764	233	56	2	2	NUM
ejpam-4764	233	57	(	(	PUNCT
ejpam-4764	233	58	x	x	NOUN
ejpam-4764	233	59	,	,	PUNCT
ejpam-4764	233	60	α	α	NOUN
ejpam-4764	233	61	)	)	PUNCT
ejpam-4764	233	62	y2	y2	NOUN
ejpam-4764	233	63	(	(	PUNCT
ejpam-4764	233	64	x	x	NOUN
ejpam-4764	233	65	,	,	PUNCT
ejpam-4764	233	66	α	α	NOUN
ejpam-4764	233	67	)	)	PUNCT
ejpam-4764	233	68	0.25	0.25	NUM
ejpam-4764	233	69	5	5	NUM
ejpam-4764	233	70	6.957e	6.957e	NUM
ejpam-4764	233	71	−	−	PROPN
ejpam-4764	233	72	06	06	NUM
ejpam-4764	233	73	4.167e	4.167e	NOUN
ejpam-4764	233	74	−	−	NOUN
ejpam-4764	233	75	05	05	NUM
ejpam-4764	234	1	3.546e	3.546e	NOUN
ejpam-4764	234	2	−	−	PROPN
ejpam-4764	234	3	06	06	NUM
ejpam-4764	234	4	2.136e	2.136e	NOUN
ejpam-4764	234	5	−	−	NOUN
ejpam-4764	235	1	05	05	NUM
ejpam-4764	235	2	0.50	0.50	NUM
ejpam-4764	235	3	5	5	NUM
ejpam-4764	235	4	1.204e	1.204e	NUM
ejpam-4764	235	5	−	−	NOUN
ejpam-4764	235	6	05	05	NUM
ejpam-4764	236	1	3.519e	3.519e	NUM
ejpam-4764	236	2	−	−	PROPN
ejpam-4764	236	3	05	05	NUM
ejpam-4764	237	1	6.169e	6.169e	NUM
ejpam-4764	237	2	−	−	NUM
ejpam-4764	237	3	06	06	NUM
ejpam-4764	238	1	1.804e	1.804e	NUM
ejpam-4764	238	2	−	−	NOUN
ejpam-4764	238	3	05	05	NUM
ejpam-4764	238	4	0.75	0.75	NUM
ejpam-4764	238	5	5	5	NUM
ejpam-4764	238	6	1.712e	1.712e	NUM
ejpam-4764	238	7	−	−	NUM
ejpam-4764	238	8	05	05	NUM
ejpam-4764	239	1	2.870e	2.870e	NUM
ejpam-4764	239	2	−	−	PROPN
ejpam-4764	239	3	05	05	NUM
ejpam-4764	240	1	8.793e	8.793e	NUM
ejpam-4764	241	1	−	−	PROPN
ejpam-4764	241	2	06	06	NUM
ejpam-4764	241	3	1.473e	1.473e	NUM
ejpam-4764	241	4	−	−	NOUN
ejpam-4764	241	5	05	05	NUM
ejpam-4764	241	6	1.00	1.00	NUM
ejpam-4764	241	7	5	5	NUM
ejpam-4764	241	8	2.221e	2.221e	NUM
ejpam-4764	241	9	−	−	PROPN
ejpam-4764	241	10	05	05	NUM
ejpam-4764	241	11	2.221e	2.221e	NUM
ejpam-4764	241	12	−	−	NOUN
ejpam-4764	241	13	05	05	NUM
ejpam-4764	242	1	1.141e	1.141e	NUM
ejpam-4764	242	2	−	−	PROPN
ejpam-4764	242	3	05	05	NUM
ejpam-4764	243	1	1.141e	1.141e	NUM
ejpam-4764	243	2	−	−	NOUN
ejpam-4764	243	3	05	05	NUM
ejpam-4764	243	4	in	in	ADP
ejpam-4764	243	5	figures	figure	NOUN
ejpam-4764	243	6	1–4	1–4	PROPN
ejpam-4764	243	7	,	,	PUNCT
ejpam-4764	243	8	a	a	DET
ejpam-4764	243	9	very	very	ADV
ejpam-4764	243	10	good	good	ADJ
ejpam-4764	243	11	agreement	agreement	NOUN
ejpam-4764	243	12	is	be	AUX
ejpam-4764	243	13	shown	show	VERB
ejpam-4764	243	14	between	between	ADP
ejpam-4764	243	15	the	the	DET
ejpam-4764	243	16	exact	exact	ADJ
ejpam-4764	243	17	solution	solution	NOUN
ejpam-4764	243	18	(	(	PUNCT
ejpam-4764	243	19	ỹi	ỹi	X
ejpam-4764	243	20	,	,	PUNCT
ejpam-4764	243	21	e(x	e(x	NUM
ejpam-4764	243	22	,	,	PUNCT
ejpam-4764	243	23	0.5	0.5	NUM
ejpam-4764	243	24	)	)	PUNCT
ejpam-4764	243	25	,	,	PUNCT
ejpam-4764	243	26	i	i	PRON
ejpam-4764	243	27	=	=	NOUN
ejpam-4764	243	28	1	1	NUM
ejpam-4764	243	29	,	,	PUNCT
ejpam-4764	243	30	2	2	NUM
ejpam-4764	243	31	)	)	PUNCT
ejpam-4764	243	32	with	with	ADP
ejpam-4764	243	33	a	a	DET
ejpam-4764	243	34	continuous	continuous	ADJ
ejpam-4764	243	35	line	line	NOUN
ejpam-4764	243	36	and	and	CCONJ
ejpam-4764	243	37	the	the	DET
ejpam-4764	243	38	approximate	approximate	ADJ
ejpam-4764	243	39	solution	solution	NOUN
ejpam-4764	243	40	by	by	ADP
ejpam-4764	243	41	the	the	DET
ejpam-4764	243	42	hpm	hpm	NOUN
ejpam-4764	243	43	with	with	ADP
ejpam-4764	243	44	green	green	PROPN
ejpam-4764	243	45	’s	’s	PART
ejpam-4764	243	46	function	function	NOUN
ejpam-4764	243	47	(	(	PUNCT
ejpam-4764	243	48	ỹi,5(x	ỹi,5(x	NOUN
ejpam-4764	243	49	,	,	PUNCT
ejpam-4764	243	50	0.5	0.5	NUM
ejpam-4764	243	51	)	)	PUNCT
ejpam-4764	243	52	,	,	PUNCT
ejpam-4764	243	53	i	i	PRON
ejpam-4764	243	54	=	=	NOUN
ejpam-4764	243	55	1	1	NUM
ejpam-4764	243	56	,	,	PUNCT
ejpam-4764	243	57	2	2	NUM
ejpam-4764	243	58	)	)	PUNCT
ejpam-4764	243	59	with	with	ADP
ejpam-4764	243	60	the	the	DET
ejpam-4764	243	61	symbol	symbol	NOUN
ejpam-4764	244	1	o.	o.	NOUN
ejpam-4764	244	2	we	we	PRON
ejpam-4764	244	3	present	present	VERB
ejpam-4764	244	4	the	the	DET
ejpam-4764	244	5	contour	contour	NOUN
ejpam-4764	244	6	plot	plot	NOUN
ejpam-4764	244	7	in	in	ADP
ejpam-4764	244	8	2d	2d	NUM
ejpam-4764	244	9	on	on	ADP
ejpam-4764	244	10	the	the	DET
ejpam-4764	244	11	(	(	PUNCT
ejpam-4764	244	12	x	x	NOUN
ejpam-4764	244	13	,	,	PUNCT
ejpam-4764	244	14	α)-plane	α)-plane	NOUN
ejpam-4764	244	15	for	for	ADP
ejpam-4764	244	16	the	the	DET
ejpam-4764	244	17	exact	exact	ADJ
ejpam-4764	244	18	solutions	solution	NOUN
ejpam-4764	244	19	(	(	PUNCT
ejpam-4764	244	20	ỹi	ỹi	X
ejpam-4764	244	21	,	,	PUNCT
ejpam-4764	244	22	e(x	e(x	NUM
ejpam-4764	244	23	,	,	PUNCT
ejpam-4764	244	24	0.5	0.5	NUM
ejpam-4764	244	25	)	)	PUNCT
ejpam-4764	244	26	,	,	PUNCT
ejpam-4764	244	27	i	i	PRON
ejpam-4764	244	28	=	=	NOUN
ejpam-4764	244	29	1	1	NUM
ejpam-4764	244	30	,	,	PUNCT
ejpam-4764	244	31	2	2	NUM
ejpam-4764	244	32	)	)	PUNCT
ejpam-4764	244	33	with	with	ADP
ejpam-4764	244	34	a	a	DET
ejpam-4764	244	35	continuous	continuous	ADJ
ejpam-4764	244	36	line	line	NOUN
ejpam-4764	244	37	and	and	CCONJ
ejpam-4764	244	38	the	the	DET
ejpam-4764	244	39	approximate	approximate	ADJ
ejpam-4764	244	40	solution	solution	NOUN
ejpam-4764	244	41	by	by	ADP
ejpam-4764	244	42	the	the	DET
ejpam-4764	244	43	hpm	hpm	NOUN
ejpam-4764	244	44	with	with	ADP
ejpam-4764	244	45	green	green	PROPN
ejpam-4764	244	46	’s	’s	PART
ejpam-4764	244	47	function	function	NOUN
ejpam-4764	244	48	(	(	PUNCT
ejpam-4764	244	49	ỹi,5(x	ỹi,5(x	NOUN
ejpam-4764	244	50	,	,	PUNCT
ejpam-4764	244	51	0.5	0.5	NUM
ejpam-4764	244	52	)	)	PUNCT
ejpam-4764	244	53	,	,	PUNCT
ejpam-4764	244	54	i	i	PRON
ejpam-4764	244	55	=	=	NOUN
ejpam-4764	244	56	1	1	NUM
ejpam-4764	244	57	,	,	PUNCT
ejpam-4764	244	58	2	2	NUM
ejpam-4764	244	59	)	)	PUNCT
ejpam-4764	244	60	with	with	ADP
ejpam-4764	244	61	the	the	DET
ejpam-4764	244	62	symbol	symbol	NOUN
ejpam-4764	244	63	o	o	NOUN
ejpam-4764	244	64	in	in	ADP
ejpam-4764	244	65	figures	figure	NOUN
ejpam-4764	244	66	5–8	5–8	PROPN
ejpam-4764	244	67	.	.	PUNCT
ejpam-4764	244	68	figure	figure	NOUN
ejpam-4764	244	69	1	1	NUM
ejpam-4764	244	70	:	:	PUNCT
ejpam-4764	244	71	plot	plot	NOUN
ejpam-4764	244	72	of	of	ADP
ejpam-4764	244	73	y	y	PROPN
ejpam-4764	244	74	1,e	1,e	NUM
ejpam-4764	244	75	(	(	PUNCT
ejpam-4764	244	76	x	x	X
ejpam-4764	244	77	,	,	PUNCT
ejpam-4764	244	78	0.5	0.5	NUM
ejpam-4764	244	79	)	)	PUNCT
ejpam-4764	244	80	and	and	CCONJ
ejpam-4764	244	81	y	y	PROPN
ejpam-4764	244	82	1,5	1,5	NUM
ejpam-4764	244	83	(	(	PUNCT
ejpam-4764	244	84	x	x	X
ejpam-4764	244	85	,	,	PUNCT
ejpam-4764	244	86	0.5	0.5	NUM
ejpam-4764	244	87	)	)	PUNCT
ejpam-4764	244	88	.	.	PUNCT
ejpam-4764	245	1	figure	figure	VERB
ejpam-4764	245	2	2	2	NUM
ejpam-4764	245	3	:	:	PUNCT
ejpam-4764	245	4	plot	plot	NOUN
ejpam-4764	245	5	of	of	ADP
ejpam-4764	245	6	y1,e(x	y1,e(x	PROPN
ejpam-4764	245	7	,	,	PUNCT
ejpam-4764	245	8	0.5	0.5	NUM
ejpam-4764	245	9	)	)	PUNCT
ejpam-4764	245	10	and	and	CCONJ
ejpam-4764	245	11	y1,5(x	y1,5(x	PROPN
ejpam-4764	245	12	,	,	PUNCT
ejpam-4764	245	13	0.5	0.5	NUM
ejpam-4764	245	14	)	)	PUNCT
ejpam-4764	245	15	.	.	PUNCT
ejpam-4764	246	1	w.	w.	PROPN
ejpam-4764	246	2	al	al	PROPN
ejpam-4764	246	3	-	-	PUNCT
ejpam-4764	246	4	hayani	hayani	PROPN
ejpam-4764	246	5	,	,	PUNCT
ejpam-4764	246	6	m	m	VERB
ejpam-4764	246	7	t.	t.	NOUN
ejpam-4764	246	8	younis	younis	PROPN
ejpam-4764	246	9	/	/	SYM
ejpam-4764	246	10	eur	eur	PROPN
ejpam-4764	246	11	.	.	PUNCT
ejpam-4764	247	1	j.	j.	PROPN
ejpam-4764	247	2	pure	pure	PROPN
ejpam-4764	247	3	appl	appl	PROPN
ejpam-4764	247	4	.	.	PROPN
ejpam-4764	247	5	math	math	PROPN
ejpam-4764	247	6	,	,	PUNCT
ejpam-4764	247	7	16	16	NUM
ejpam-4764	247	8	(	(	PUNCT
ejpam-4764	247	9	2	2	NUM
ejpam-4764	247	10	)	)	PUNCT
ejpam-4764	247	11	(	(	PUNCT
ejpam-4764	247	12	2023	2023	NUM
ejpam-4764	247	13	)	)	PUNCT
ejpam-4764	247	14	,	,	PUNCT
ejpam-4764	247	15	1236	1236	NUM
ejpam-4764	247	16	-	-	SYM
ejpam-4764	247	17	1259	1259	NUM
ejpam-4764	247	18	1249	1249	NUM
ejpam-4764	247	19	figure	figure	NOUN
ejpam-4764	247	20	3	3	NUM
ejpam-4764	247	21	:	:	PUNCT
ejpam-4764	247	22	plot	plot	NOUN
ejpam-4764	247	23	of	of	ADP
ejpam-4764	247	24	y	y	PROPN
ejpam-4764	247	25	2,e	2,e	PROPN
ejpam-4764	247	26	(	(	PUNCT
ejpam-4764	247	27	x	x	X
ejpam-4764	247	28	,	,	PUNCT
ejpam-4764	247	29	0.5	0.5	NUM
ejpam-4764	247	30	)	)	PUNCT
ejpam-4764	247	31	and	and	CCONJ
ejpam-4764	247	32	y	y	PROPN
ejpam-4764	247	33	2,5	2,5	NUM
ejpam-4764	247	34	(	(	PUNCT
ejpam-4764	247	35	x	x	X
ejpam-4764	247	36	,	,	PUNCT
ejpam-4764	247	37	0.5	0.5	NUM
ejpam-4764	247	38	)	)	PUNCT
ejpam-4764	247	39	.	.	PUNCT
ejpam-4764	248	1	figure	figure	VERB
ejpam-4764	248	2	4	4	NUM
ejpam-4764	248	3	:	:	PUNCT
ejpam-4764	248	4	plot	plot	NOUN
ejpam-4764	248	5	of	of	ADP
ejpam-4764	248	6	y2,e(x	y2,e(x	PROPN
ejpam-4764	248	7	,	,	PUNCT
ejpam-4764	248	8	0.5	0.5	NUM
ejpam-4764	248	9	)	)	PUNCT
ejpam-4764	248	10	and	and	CCONJ
ejpam-4764	248	11	y2,5(x	y2,5(x	PROPN
ejpam-4764	248	12	,	,	PUNCT
ejpam-4764	248	13	0.5	0.5	NUM
ejpam-4764	248	14	)	)	PUNCT
ejpam-4764	248	15	.	.	PUNCT
ejpam-4764	249	1	figure	figure	VERB
ejpam-4764	249	2	5	5	NUM
ejpam-4764	249	3	:	:	PUNCT
ejpam-4764	249	4	the	the	DET
ejpam-4764	249	5	contour	contour	NOUN
ejpam-4764	249	6	plot	plot	NOUN
ejpam-4764	249	7	in	in	ADP
ejpam-4764	249	8	2d	2d	PROPN
ejpam-4764	249	9	(	(	PUNCT
ejpam-4764	249	10	x	x	NOUN
ejpam-4764	249	11	,	,	PUNCT
ejpam-4764	249	12	α)-plane	α)-plane	NOUN
ejpam-4764	249	13	for	for	ADP
ejpam-4764	249	14	y	y	PROPN
ejpam-4764	249	15	1,e	1,e	NUM
ejpam-4764	249	16	(	(	PUNCT
ejpam-4764	249	17	x	x	NOUN
ejpam-4764	249	18	,	,	PUNCT
ejpam-4764	249	19	α	α	NOUN
ejpam-4764	249	20	)	)	PUNCT
ejpam-4764	249	21	and	and	CCONJ
ejpam-4764	249	22	y	y	PROPN
ejpam-4764	249	23	1,5	1,5	NUM
ejpam-4764	249	24	(	(	PUNCT
ejpam-4764	249	25	x	x	NOUN
ejpam-4764	249	26	,	,	PUNCT
ejpam-4764	249	27	α	α	NOUN
ejpam-4764	249	28	)	)	PUNCT
ejpam-4764	249	29	.	.	PUNCT
ejpam-4764	250	1	w.	w.	PROPN
ejpam-4764	250	2	al	al	PROPN
ejpam-4764	250	3	-	-	PUNCT
ejpam-4764	250	4	hayani	hayani	PROPN
ejpam-4764	250	5	,	,	PUNCT
ejpam-4764	250	6	m	m	VERB
ejpam-4764	250	7	t.	t.	NOUN
ejpam-4764	250	8	younis	younis	PROPN
ejpam-4764	250	9	/	/	SYM
ejpam-4764	250	10	eur	eur	PROPN
ejpam-4764	250	11	.	.	PUNCT
ejpam-4764	251	1	j.	j.	PROPN
ejpam-4764	251	2	pure	pure	PROPN
ejpam-4764	251	3	appl	appl	PROPN
ejpam-4764	251	4	.	.	PROPN
ejpam-4764	251	5	math	math	PROPN
ejpam-4764	251	6	,	,	PUNCT
ejpam-4764	251	7	16	16	NUM
ejpam-4764	251	8	(	(	PUNCT
ejpam-4764	251	9	2	2	NUM
ejpam-4764	251	10	)	)	PUNCT
ejpam-4764	251	11	(	(	PUNCT
ejpam-4764	251	12	2023	2023	NUM
ejpam-4764	251	13	)	)	PUNCT
ejpam-4764	251	14	,	,	PUNCT
ejpam-4764	251	15	1236	1236	NUM
ejpam-4764	251	16	-	-	SYM
ejpam-4764	251	17	1259	1259	NUM
ejpam-4764	251	18	1250	1250	NUM
ejpam-4764	251	19	figure	figure	NOUN
ejpam-4764	251	20	6	6	NUM
ejpam-4764	251	21	:	:	PUNCT
ejpam-4764	251	22	the	the	DET
ejpam-4764	251	23	contour	contour	NOUN
ejpam-4764	251	24	plot	plot	NOUN
ejpam-4764	251	25	in	in	ADP
ejpam-4764	251	26	2d	2d	PROPN
ejpam-4764	251	27	(	(	PUNCT
ejpam-4764	251	28	x	x	NOUN
ejpam-4764	251	29	,	,	PUNCT
ejpam-4764	251	30	α)-plane	α)-plane	PROPN
ejpam-4764	251	31	for	for	ADP
ejpam-4764	251	32	y1,e(x	y1,e(x	PROPN
ejpam-4764	251	33	,	,	PUNCT
ejpam-4764	251	34	α	α	X
ejpam-4764	251	35	)	)	PUNCT
ejpam-4764	251	36	and	and	CCONJ
ejpam-4764	251	37	y1,5(x	y1,5(x	PROPN
ejpam-4764	251	38	,	,	PUNCT
ejpam-4764	251	39	α	α	NOUN
ejpam-4764	251	40	)	)	PUNCT
ejpam-4764	251	41	.	.	PUNCT
ejpam-4764	252	1	figure	figure	VERB
ejpam-4764	252	2	7	7	NUM
ejpam-4764	252	3	:	:	PUNCT
ejpam-4764	252	4	the	the	DET
ejpam-4764	252	5	contour	contour	NOUN
ejpam-4764	252	6	plot	plot	NOUN
ejpam-4764	252	7	in	in	ADP
ejpam-4764	252	8	2d	2d	PROPN
ejpam-4764	252	9	(	(	PUNCT
ejpam-4764	252	10	x	x	NOUN
ejpam-4764	252	11	,	,	PUNCT
ejpam-4764	252	12	α)-plane	α)-plane	NOUN
ejpam-4764	252	13	for	for	ADP
ejpam-4764	252	14	y	y	PROPN
ejpam-4764	252	15	2,e	2,e	PROPN
ejpam-4764	252	16	(	(	PUNCT
ejpam-4764	252	17	x	x	NOUN
ejpam-4764	252	18	,	,	PUNCT
ejpam-4764	252	19	α	α	NOUN
ejpam-4764	252	20	)	)	PUNCT
ejpam-4764	252	21	and	and	CCONJ
ejpam-4764	252	22	y	y	PROPN
ejpam-4764	252	23	2,5	2,5	NUM
ejpam-4764	252	24	(	(	PUNCT
ejpam-4764	252	25	x	x	NOUN
ejpam-4764	252	26	,	,	PUNCT
ejpam-4764	252	27	α	α	NOUN
ejpam-4764	252	28	)	)	PUNCT
ejpam-4764	252	29	.	.	PUNCT
ejpam-4764	253	1	figure	figure	VERB
ejpam-4764	253	2	8	8	NUM
ejpam-4764	253	3	:	:	PUNCT
ejpam-4764	253	4	the	the	DET
ejpam-4764	253	5	contour	contour	NOUN
ejpam-4764	253	6	plot	plot	NOUN
ejpam-4764	253	7	in	in	ADP
ejpam-4764	253	8	2d	2d	PROPN
ejpam-4764	253	9	(	(	PUNCT
ejpam-4764	253	10	x	x	NOUN
ejpam-4764	253	11	,	,	PUNCT
ejpam-4764	253	12	α)-plane	α)-plane	PROPN
ejpam-4764	253	13	for	for	ADP
ejpam-4764	253	14	y2,e(x	y2,e(x	PROPN
ejpam-4764	253	15	,	,	PUNCT
ejpam-4764	253	16	α	α	NOUN
ejpam-4764	253	17	)	)	PUNCT
ejpam-4764	253	18	and	and	CCONJ
ejpam-4764	253	19	y2,5(x	y2,5(x	PROPN
ejpam-4764	253	20	,	,	PUNCT
ejpam-4764	253	21	α	α	NOUN
ejpam-4764	253	22	)	)	PUNCT
ejpam-4764	253	23	.	.	PUNCT
ejpam-4764	254	1	w.	w.	PROPN
ejpam-4764	254	2	al	al	PROPN
ejpam-4764	254	3	-	-	PUNCT
ejpam-4764	254	4	hayani	hayani	PROPN
ejpam-4764	254	5	,	,	PUNCT
ejpam-4764	254	6	m	m	VERB
ejpam-4764	254	7	t.	t.	NOUN
ejpam-4764	254	8	younis	younis	PROPN
ejpam-4764	254	9	/	/	SYM
ejpam-4764	254	10	eur	eur	PROPN
ejpam-4764	254	11	.	.	PUNCT
ejpam-4764	255	1	j.	j.	PROPN
ejpam-4764	255	2	pure	pure	PROPN
ejpam-4764	255	3	appl	appl	PROPN
ejpam-4764	255	4	.	.	PROPN
ejpam-4764	255	5	math	math	PROPN
ejpam-4764	255	6	,	,	PUNCT
ejpam-4764	255	7	16	16	NUM
ejpam-4764	255	8	(	(	PUNCT
ejpam-4764	255	9	2	2	NUM
ejpam-4764	255	10	)	)	PUNCT
ejpam-4764	255	11	(	(	PUNCT
ejpam-4764	255	12	2023	2023	NUM
ejpam-4764	255	13	)	)	PUNCT
ejpam-4764	255	14	,	,	PUNCT
ejpam-4764	255	15	1236	1236	NUM
ejpam-4764	255	16	-	-	SYM
ejpam-4764	255	17	1259	1259	NUM
ejpam-4764	255	18	1251	1251	NUM
ejpam-4764	255	19	problem	problem	NOUN
ejpam-4764	255	20	2	2	NUM
ejpam-4764	255	21	now	now	ADV
ejpam-4764	255	22	,	,	PUNCT
ejpam-4764	255	23	we	we	PRON
ejpam-4764	255	24	turn	turn	VERB
ejpam-4764	255	25	to	to	ADP
ejpam-4764	255	26	a	a	DET
ejpam-4764	255	27	non	non	ADJ
ejpam-4764	255	28	-	-	ADJ
ejpam-4764	255	29	linear	linear	ADJ
ejpam-4764	255	30	fsbvps	fsbvps	NOUN
ejpam-4764	256	1	[	[	X
ejpam-4764	256	2	7	7	NUM
ejpam-4764	256	3	,	,	PUNCT
ejpam-4764	256	4	9	9	NUM
ejpam-4764	256	5	,	,	PUNCT
ejpam-4764	256	6	17	17	NUM
ejpam-4764	256	7	]	]	PUNCT
ejpam-4764	256	8	:	:	PUNCT
ejpam-4764	256	9	{	{	PUNCT
ejpam-4764	256	10	ỹ′′1	ỹ′′1	NOUN
ejpam-4764	256	11	(	(	PUNCT
ejpam-4764	256	12	x	x	NOUN
ejpam-4764	256	13	,	,	PUNCT
ejpam-4764	256	14	α	α	NOUN
ejpam-4764	256	15	)	)	PUNCT
ejpam-4764	256	16	+	+	CCONJ
ejpam-4764	256	17	xỹ′1	xỹ′1	X
ejpam-4764	256	18	(	(	PUNCT
ejpam-4764	256	19	x	x	NOUN
ejpam-4764	256	20	,	,	PUNCT
ejpam-4764	256	21	α	α	NOUN
ejpam-4764	256	22	)	)	PUNCT
ejpam-4764	256	23	+	+	CCONJ
ejpam-4764	256	24	cos	cos	X
ejpam-4764	256	25	(	(	PUNCT
ejpam-4764	256	26	πx	πx	NOUN
ejpam-4764	256	27	)	)	PUNCT
ejpam-4764	256	28	ỹ′2	ỹ′2	PROPN
ejpam-4764	256	29	(	(	PUNCT
ejpam-4764	256	30	x	x	NOUN
ejpam-4764	256	31	,	,	PUNCT
ejpam-4764	256	32	α	α	NOUN
ejpam-4764	256	33	)	)	PUNCT
ejpam-4764	257	1	=	=	SYM
ejpam-4764	257	2	f̃1	f̃1	PROPN
ejpam-4764	257	3	(	(	PUNCT
ejpam-4764	257	4	x	x	X
ejpam-4764	257	5	,	,	PUNCT
ejpam-4764	257	6	α	α	NOUN
ejpam-4764	257	7	)	)	PUNCT
ejpam-4764	257	8	,	,	PUNCT
ejpam-4764	257	9	ỹ′′2	ỹ′′2	PROPN
ejpam-4764	257	10	(	(	PUNCT
ejpam-4764	257	11	x	x	NOUN
ejpam-4764	257	12	,	,	PUNCT
ejpam-4764	257	13	α	α	NOUN
ejpam-4764	257	14	)	)	PUNCT
ejpam-4764	258	1	+	+	CCONJ
ejpam-4764	258	2	xỹ′1	xỹ′1	X
ejpam-4764	258	3	(	(	PUNCT
ejpam-4764	258	4	x	x	NOUN
ejpam-4764	258	5	,	,	PUNCT
ejpam-4764	258	6	α	α	NOUN
ejpam-4764	258	7	)	)	PUNCT
ejpam-4764	258	8	+	+	CCONJ
ejpam-4764	259	1	xy21	xy21	PROPN
ejpam-4764	259	2	(	(	PUNCT
ejpam-4764	259	3	x	x	NOUN
ejpam-4764	259	4	,	,	PUNCT
ejpam-4764	259	5	α	α	NOUN
ejpam-4764	259	6	)	)	PUNCT
ejpam-4764	259	7	=	=	SYM
ejpam-4764	260	1	f̃2	f̃2	PROPN
ejpam-4764	260	2	(	(	PUNCT
ejpam-4764	260	3	x	x	NOUN
ejpam-4764	260	4	,	,	PUNCT
ejpam-4764	260	5	α	α	NOUN
ejpam-4764	260	6	)	)	PUNCT
ejpam-4764	260	7	,	,	PUNCT
ejpam-4764	260	8	(	(	PUNCT
ejpam-4764	260	9	29	29	NUM
ejpam-4764	260	10	)	)	PUNCT
ejpam-4764	260	11	with	with	ADP
ejpam-4764	260	12	the	the	DET
ejpam-4764	260	13	boundary	boundary	ADJ
ejpam-4764	260	14	conditions	condition	NOUN
ejpam-4764	260	15	ỹ1	ỹ1	NOUN
ejpam-4764	260	16	(	(	PUNCT
ejpam-4764	260	17	0	0	NUM
ejpam-4764	260	18	,	,	PUNCT
ejpam-4764	260	19	α	α	NOUN
ejpam-4764	260	20	)	)	PUNCT
ejpam-4764	260	21	=	=	SYM
ejpam-4764	260	22	ỹ1	ỹ1	NOUN
ejpam-4764	260	23	(	(	PUNCT
ejpam-4764	260	24	1	1	NUM
ejpam-4764	260	25	,	,	PUNCT
ejpam-4764	260	26	α	α	NOUN
ejpam-4764	260	27	)	)	PUNCT
ejpam-4764	260	28	=	=	SYM
ejpam-4764	260	29	(	(	PUNCT
ejpam-4764	260	30	0	0	NUM
ejpam-4764	260	31	,	,	PUNCT
ejpam-4764	260	32	0	0	NUM
ejpam-4764	260	33	)	)	PUNCT
ejpam-4764	260	34	,	,	PUNCT
ejpam-4764	260	35	ỹ2	ỹ2	PROPN
ejpam-4764	260	36	(	(	PUNCT
ejpam-4764	260	37	0	0	NUM
ejpam-4764	260	38	,	,	PUNCT
ejpam-4764	260	39	α	α	NOUN
ejpam-4764	260	40	)	)	PUNCT
ejpam-4764	261	1	=	=	SYM
ejpam-4764	261	2	ỹ2	ỹ2	PROPN
ejpam-4764	261	3	(	(	PUNCT
ejpam-4764	261	4	1	1	NUM
ejpam-4764	261	5	,	,	PUNCT
ejpam-4764	261	6	α	α	NOUN
ejpam-4764	261	7	)	)	PUNCT
ejpam-4764	261	8	=	=	SYM
ejpam-4764	261	9	(	(	PUNCT
ejpam-4764	261	10	0	0	NUM
ejpam-4764	261	11	,	,	PUNCT
ejpam-4764	261	12	0	0	NUM
ejpam-4764	261	13	)	)	PUNCT
ejpam-4764	261	14	,	,	PUNCT
ejpam-4764	261	15	(	(	PUNCT
ejpam-4764	261	16	30	30	NUM
ejpam-4764	261	17	)	)	PUNCT
ejpam-4764	261	18	where	where	SCONJ
ejpam-4764	261	19	f̃1	f̃1	PROPN
ejpam-4764	261	20	(	(	PUNCT
ejpam-4764	261	21	x	x	NOUN
ejpam-4764	261	22	,	,	PUNCT
ejpam-4764	261	23	α	α	NOUN
ejpam-4764	261	24	)	)	PUNCT
ejpam-4764	261	25	=	=	PUNCT
ejpam-4764	262	1	[	[	PUNCT
ejpam-4764	262	2	f	f	NOUN
ejpam-4764	262	3	1	1	NUM
ejpam-4764	262	4	(	(	PUNCT
ejpam-4764	262	5	x	x	NOUN
ejpam-4764	262	6	,	,	PUNCT
ejpam-4764	262	7	α	α	NOUN
ejpam-4764	262	8	)	)	PUNCT
ejpam-4764	262	9	,	,	PUNCT
ejpam-4764	262	10	f1	f1	NOUN
ejpam-4764	262	11	(	(	PUNCT
ejpam-4764	262	12	x	x	NOUN
ejpam-4764	262	13	,	,	PUNCT
ejpam-4764	262	14	α	α	NOUN
ejpam-4764	262	15	)	)	PUNCT
ejpam-4764	262	16	]	]	PUNCT
ejpam-4764	262	17	and	and	CCONJ
ejpam-4764	262	18	f̃2	f̃2	PROPN
ejpam-4764	262	19	(	(	PUNCT
ejpam-4764	262	20	x	x	NOUN
ejpam-4764	262	21	,	,	PUNCT
ejpam-4764	262	22	α	α	NOUN
ejpam-4764	262	23	)	)	PUNCT
ejpam-4764	262	24	=	=	PUNCT
ejpam-4764	263	1	[	[	PUNCT
ejpam-4764	263	2	f	f	NOUN
ejpam-4764	263	3	2	2	NUM
ejpam-4764	263	4	(	(	PUNCT
ejpam-4764	263	5	x	x	NOUN
ejpam-4764	263	6	,	,	PUNCT
ejpam-4764	263	7	α	α	NOUN
ejpam-4764	263	8	)	)	PUNCT
ejpam-4764	263	9	,	,	PUNCT
ejpam-4764	263	10	f2	f2	PROPN
ejpam-4764	263	11	(	(	PUNCT
ejpam-4764	263	12	x	x	NOUN
ejpam-4764	263	13	,	,	PUNCT
ejpam-4764	263	14	α	α	NOUN
ejpam-4764	263	15	)	)	PUNCT
ejpam-4764	263	16	]	]	PUNCT
ejpam-4764	263	17	are	be	AUX
ejpam-4764	263	18	given	give	VERB
ejpam-4764	263	19	by	by	ADP
ejpam-4764	263	20	f	f	PROPN
ejpam-4764	263	21	1	1	NUM
ejpam-4764	263	22	(	(	PUNCT
ejpam-4764	263	23	x	x	NOUN
ejpam-4764	263	24	,	,	PUNCT
ejpam-4764	263	25	α	α	NOUN
ejpam-4764	263	26	)	)	PUNCT
ejpam-4764	263	27	=	=	SYM
ejpam-4764	263	28	α2	α2	ADJ
ejpam-4764	263	29	sin	sin	NOUN
ejpam-4764	263	30	(	(	PUNCT
ejpam-4764	263	31	x	x	X
ejpam-4764	263	32	)	)	PUNCT
ejpam-4764	263	33	+	+	CCONJ
ejpam-4764	263	34	(	(	PUNCT
ejpam-4764	263	35	α2x2	α2x2	X
ejpam-4764	263	36	−	−	X
ejpam-4764	263	37	α2x+	α2x+	INTJ
ejpam-4764	263	38	2α2	2α2	NUM
ejpam-4764	263	39	)	)	PUNCT
ejpam-4764	264	1	cos	cos	PROPN
ejpam-4764	264	2	(	(	PUNCT
ejpam-4764	264	3	x	x	X
ejpam-4764	264	4	)	)	PUNCT
ejpam-4764	264	5	+	+	PROPN
ejpam-4764	264	6	(	(	PUNCT
ejpam-4764	264	7	−α3x−	−α3x−	X
ejpam-4764	264	8	x+	x+	ADJ
ejpam-4764	264	9	α3	α3	NOUN
ejpam-4764	264	10	2	2	NUM
ejpam-4764	264	11	+	+	CCONJ
ejpam-4764	264	12	1	1	NUM
ejpam-4764	264	13	2	2	NUM
ejpam-4764	264	14	)	)	PUNCT
ejpam-4764	264	15	cos	cos	PROPN
ejpam-4764	264	16	(	(	PUNCT
ejpam-4764	264	17	πx	πx	NOUN
ejpam-4764	264	18	)	)	PUNCT
ejpam-4764	264	19	,	,	PUNCT
ejpam-4764	264	20	f1	f1	PROPN
ejpam-4764	264	21	(	(	PUNCT
ejpam-4764	264	22	x	x	NOUN
ejpam-4764	264	23	,	,	PUNCT
ejpam-4764	264	24	α	α	NOUN
ejpam-4764	264	25	)	)	PUNCT
ejpam-4764	264	26	=	=	SYM
ejpam-4764	265	1	(	(	PUNCT
ejpam-4764	265	2	3−	3−	NUM
ejpam-4764	265	3	2α	2α	NOUN
ejpam-4764	265	4	)	)	PUNCT
ejpam-4764	265	5	sin	sin	NOUN
ejpam-4764	265	6	(	(	PUNCT
ejpam-4764	265	7	x	x	NOUN
ejpam-4764	265	8	)	)	PUNCT
ejpam-4764	266	1	+	+	CCONJ
ejpam-4764	266	2	(	(	PUNCT
ejpam-4764	266	3	−2αx2	−2αx2	NOUN
ejpam-4764	266	4	+	+	CCONJ
ejpam-4764	266	5	3x2	3x2	NUM
ejpam-4764	266	6	+	+	SYM
ejpam-4764	266	7	2αx−	2αx−	NUM
ejpam-4764	266	8	3x−	3x−	PROPN
ejpam-4764	266	9	4α+	4α+	NUM
ejpam-4764	266	10	6	6	NUM
ejpam-4764	266	11	)	)	PUNCT
ejpam-4764	266	12	cos	cos	PROPN
ejpam-4764	266	13	(	(	PUNCT
ejpam-4764	266	14	x	x	X
ejpam-4764	266	15	)	)	PUNCT
ejpam-4764	267	1	+	+	ADJ
ejpam-4764	267	2	(	(	PUNCT
ejpam-4764	267	3	2α3x−	2α3x−	NUM
ejpam-4764	267	4	4x−	4x−	NUM
ejpam-4764	267	5	α3	α3	NOUN
ejpam-4764	267	6	+	+	NOUN
ejpam-4764	267	7	2	2	X
ejpam-4764	267	8	)	)	PUNCT
ejpam-4764	267	9	cos	cos	PROPN
ejpam-4764	267	10	(	(	PUNCT
ejpam-4764	267	11	πx	πx	NOUN
ejpam-4764	267	12	)	)	PUNCT
ejpam-4764	268	1	,	,	PUNCT
ejpam-4764	268	2	f	f	PROPN
ejpam-4764	268	3	2	2	NUM
ejpam-4764	268	4	(	(	PUNCT
ejpam-4764	268	5	x	x	NOUN
ejpam-4764	268	6	,	,	PUNCT
ejpam-4764	268	7	α	α	NOUN
ejpam-4764	268	8	)	)	PUNCT
ejpam-4764	268	9	=	=	SYM
ejpam-4764	268	10	(	(	PUNCT
ejpam-4764	268	11	α4x3	α4x3	INTJ
ejpam-4764	268	12	−	−	PROPN
ejpam-4764	268	13	2α4x2	2α4x2	NUM
ejpam-4764	268	14	+	+	CCONJ
ejpam-4764	268	15	α4x	α4x	PROPN
ejpam-4764	268	16	)	)	PUNCT
ejpam-4764	268	17	sin	sin	NOUN
ejpam-4764	268	18	(	(	PUNCT
ejpam-4764	268	19	x)2	x)2	VERB
ejpam-4764	268	20	+	+	CCONJ
ejpam-4764	268	21	α2x	α2x	ADJ
ejpam-4764	268	22	sin(x	sin(x	PROPN
ejpam-4764	268	23	)	)	PUNCT
ejpam-4764	269	1	+	+	NOUN
ejpam-4764	269	2	(	(	PUNCT
ejpam-4764	269	3	α2x2	α2x2	NUM
ejpam-4764	269	4	−	−	PROPN
ejpam-4764	269	5	α2x	α2x	NUM
ejpam-4764	269	6	)	)	PUNCT
ejpam-4764	269	7	cos	cos	ADP
ejpam-4764	269	8	(	(	PUNCT
ejpam-4764	269	9	x)−	x)−	PROPN
ejpam-4764	269	10	α3	α3	NOUN
ejpam-4764	269	11	−	−	PROPN
ejpam-4764	269	12	1	1	NUM
ejpam-4764	269	13	,	,	PUNCT
ejpam-4764	269	14	f2	f2	PRON
ejpam-4764	269	15	(	(	PUNCT
ejpam-4764	269	16	x	x	NOUN
ejpam-4764	269	17	,	,	PUNCT
ejpam-4764	269	18	α	α	NOUN
ejpam-4764	269	19	)	)	PUNCT
ejpam-4764	269	20	=	=	PUNCT
ejpam-4764	270	1	+	+	CCONJ
ejpam-4764	270	2	(	(	PUNCT
ejpam-4764	270	3	4α2	4α2	NUM
ejpam-4764	270	4	−	−	NOUN
ejpam-4764	270	5	12α+	12α+	NUM
ejpam-4764	270	6	9	9	NUM
ejpam-4764	270	7	)	)	PUNCT
ejpam-4764	270	8	x3	x3	ADJ
ejpam-4764	270	9	sin	sin	NOUN
ejpam-4764	270	10	(	(	PUNCT
ejpam-4764	270	11	x)2	x)2	VERB
ejpam-4764	270	12	+	+	CCONJ
ejpam-4764	270	13	(	(	PUNCT
ejpam-4764	270	14	−8α2	−8α2	X
ejpam-4764	270	15	+	+	CCONJ
ejpam-4764	270	16	24α−	24α−	NUM
ejpam-4764	270	17	18)x2	18)x2	NUM
ejpam-4764	270	18	sin	sin	NOUN
ejpam-4764	270	19	(	(	PUNCT
ejpam-4764	270	20	x)2	x)2	VERB
ejpam-4764	270	21	+	+	CCONJ
ejpam-4764	270	22	(	(	PUNCT
ejpam-4764	270	23	4α2	4α2	NUM
ejpam-4764	270	24	−	−	NOUN
ejpam-4764	270	25	12α+	12α+	NUM
ejpam-4764	270	26	9	9	NUM
ejpam-4764	270	27	)	)	PUNCT
ejpam-4764	270	28	x	x	SYM
ejpam-4764	270	29	sin	sin	NOUN
ejpam-4764	270	30	(	(	PUNCT
ejpam-4764	270	31	x)2	x)2	VERB
ejpam-4764	270	32	+	+	CCONJ
ejpam-4764	270	33	(	(	PUNCT
ejpam-4764	270	34	−2α+	−2α+	NUM
ejpam-4764	270	35	3)x	3)x	PRON
ejpam-4764	270	36	sin	sin	NOUN
ejpam-4764	270	37	(	(	PUNCT
ejpam-4764	270	38	x	x	X
ejpam-4764	270	39	)	)	PUNCT
ejpam-4764	270	40	+	+	PROPN
ejpam-4764	270	41	(	(	PUNCT
ejpam-4764	270	42	−2α+	−2α+	PROPN
ejpam-4764	270	43	3)x2	3)x2	NUM
ejpam-4764	270	44	cos	cos	X
ejpam-4764	270	45	(	(	PUNCT
ejpam-4764	270	46	x	x	X
ejpam-4764	270	47	)	)	PUNCT
ejpam-4764	270	48	+	+	CCONJ
ejpam-4764	270	49	(	(	PUNCT
ejpam-4764	270	50	2α−	2α−	NUM
ejpam-4764	270	51	3)x	3)x	NUM
ejpam-4764	270	52	cos	cos	X
ejpam-4764	270	53	(	(	PUNCT
ejpam-4764	270	54	x)−	x)−	PROPN
ejpam-4764	270	55	4	4	NUM
ejpam-4764	270	56	+	+	SYM
ejpam-4764	270	57	2α3	2α3	NUM
ejpam-4764	270	58	.	.	PUNCT
ejpam-4764	271	1	(	(	PUNCT
ejpam-4764	271	2	31	31	NUM
ejpam-4764	271	3	)	)	PUNCT
ejpam-4764	271	4	the	the	DET
ejpam-4764	271	5	exact	exact	ADJ
ejpam-4764	271	6	solutions	solution	NOUN
ejpam-4764	271	7	of	of	ADP
ejpam-4764	271	8	the	the	DET
ejpam-4764	271	9	fsbvps	fsbvps	PROPN
ejpam-4764	271	10	(	(	PUNCT
ejpam-4764	271	11	29	29	NUM
ejpam-4764	271	12	)	)	PUNCT
ejpam-4764	271	13	and	and	CCONJ
ejpam-4764	271	14	(	(	PUNCT
ejpam-4764	271	15	30	30	NUM
ejpam-4764	271	16	)	)	PUNCT
ejpam-4764	271	17	are	be	AUX
ejpam-4764	271	18	ỹ1,e	ỹ1,e	PROPN
ejpam-4764	271	19	(	(	PUNCT
ejpam-4764	271	20	x	x	NOUN
ejpam-4764	271	21	,	,	PUNCT
ejpam-4764	271	22	α	α	NOUN
ejpam-4764	271	23	)	)	PUNCT
ejpam-4764	271	24	=	=	PUNCT
ejpam-4764	271	25	[	[	PUNCT
ejpam-4764	271	26	α2(x−	α2(x−	NUM
ejpam-4764	271	27	1	1	NUM
ejpam-4764	271	28	)	)	PUNCT
ejpam-4764	271	29	sin	sin	NOUN
ejpam-4764	271	30	(	(	PUNCT
ejpam-4764	271	31	x	x	NOUN
ejpam-4764	271	32	)	)	PUNCT
ejpam-4764	271	33	,	,	PUNCT
ejpam-4764	271	34	(	(	PUNCT
ejpam-4764	271	35	3−	3−	NUM
ejpam-4764	271	36	2α	2α	NOUN
ejpam-4764	271	37	)	)	PUNCT
ejpam-4764	271	38	(	(	PUNCT
ejpam-4764	271	39	x−	x−	PROPN
ejpam-4764	271	40	1	1	NUM
ejpam-4764	271	41	)	)	PUNCT
ejpam-4764	271	42	sin	sin	NOUN
ejpam-4764	271	43	(	(	PUNCT
ejpam-4764	271	44	x	x	NOUN
ejpam-4764	271	45	)	)	PUNCT
ejpam-4764	271	46	]	]	PUNCT
ejpam-4764	271	47	,	,	PUNCT
ejpam-4764	271	48	ỹ2,e	ỹ2,e	PROPN
ejpam-4764	271	49	(	(	PUNCT
ejpam-4764	271	50	x	x	NOUN
ejpam-4764	271	51	,	,	PUNCT
ejpam-4764	271	52	α	α	NOUN
ejpam-4764	271	53	)	)	PUNCT
ejpam-4764	271	54	=	=	SYM
ejpam-4764	272	1	[	[	PUNCT
ejpam-4764	272	2	(	(	PUNCT
ejpam-4764	272	3	α3	α3	NOUN
ejpam-4764	272	4	+	+	NOUN
ejpam-4764	272	5	1	1	NUM
ejpam-4764	272	6	)	)	SYM
ejpam-4764	272	7	2	2	NUM
ejpam-4764	272	8	(	(	PUNCT
ejpam-4764	272	9	x−	x−	PROPN
ejpam-4764	272	10	x2	x2	PROPN
ejpam-4764	272	11	)	)	PUNCT
ejpam-4764	272	12	,	,	PUNCT
ejpam-4764	272	13	(	(	PUNCT
ejpam-4764	272	14	2−	2−	NUM
ejpam-4764	272	15	α3	α3	NOUN
ejpam-4764	272	16	)	)	PUNCT
ejpam-4764	272	17	(	(	PUNCT
ejpam-4764	272	18	x−	x−	PROPN
ejpam-4764	272	19	x2	x2	PROPN
ejpam-4764	272	20	)	)	PUNCT
ejpam-4764	272	21	]	]	PUNCT
ejpam-4764	272	22	.	.	PUNCT
ejpam-4764	273	1	constructing	construct	VERB
ejpam-4764	273	2	the	the	DET
ejpam-4764	273	3	hpm	hpm	NOUN
ejpam-4764	273	4	with	with	ADP
ejpam-4764	273	5	green	green	PROPN
ejpam-4764	273	6	’s	’s	PART
ejpam-4764	273	7	function	function	NOUN
ejpam-4764	273	8	,	,	PUNCT
ejpam-4764	273	9	we	we	PRON
ejpam-4764	273	10	have	have	VERB
ejpam-4764	273	11	ỹ1	ỹ1	NOUN
ejpam-4764	273	12	(	(	PUNCT
ejpam-4764	273	13	x	x	X
ejpam-4764	273	14	,	,	PUNCT
ejpam-4764	273	15	α	α	NOUN
ejpam-4764	273	16	)	)	PUNCT
ejpam-4764	273	17	=	=	SYM
ejpam-4764	274	1	h̃1	h̃1	PROPN
ejpam-4764	274	2	(	(	PUNCT
ejpam-4764	274	3	x	x	X
ejpam-4764	274	4	,	,	PUNCT
ejpam-4764	274	5	α)−	α)−	VERB
ejpam-4764	274	6	∫	∫	PROPN
ejpam-4764	274	7	1	1	NUM
ejpam-4764	274	8	0	0	NUM
ejpam-4764	274	9	g	g	PROPN
ejpam-4764	274	10	(	(	PUNCT
ejpam-4764	274	11	x	x	X
ejpam-4764	274	12	,	,	PUNCT
ejpam-4764	274	13	ξ	ξ	NOUN
ejpam-4764	274	14	)	)	PUNCT
ejpam-4764	274	15	f̃1	f̃1	PROPN
ejpam-4764	274	16	(	(	PUNCT
ejpam-4764	274	17	ξ	ξ	PROPN
ejpam-4764	274	18	,	,	PUNCT
ejpam-4764	274	19	α	α	NOUN
ejpam-4764	274	20	)	)	PUNCT
ejpam-4764	274	21	dξ	dξ	VERB
ejpam-4764	275	1	+	+	PROPN
ejpam-4764	275	2	p	p	X
ejpam-4764	275	3	∫	∫	PROPN
ejpam-4764	275	4	1	1	NUM
ejpam-4764	275	5	0	0	NUM
ejpam-4764	275	6	g	g	PROPN
ejpam-4764	275	7	(	(	PUNCT
ejpam-4764	275	8	x	x	X
ejpam-4764	275	9	,	,	PUNCT
ejpam-4764	275	10	ξ	ξ	X
ejpam-4764	275	11	)	)	PUNCT
ejpam-4764	276	1	[	[	X
ejpam-4764	276	2	ξỹ′1	ξỹ′1	X
ejpam-4764	276	3	(	(	PUNCT
ejpam-4764	276	4	ξ	ξ	PROPN
ejpam-4764	276	5	,	,	PUNCT
ejpam-4764	276	6	α	α	NOUN
ejpam-4764	276	7	)	)	PUNCT
ejpam-4764	276	8	+	+	CCONJ
ejpam-4764	276	9	cos	cos	X
ejpam-4764	276	10	(	(	PUNCT
ejpam-4764	276	11	πx	πx	NOUN
ejpam-4764	276	12	)	)	PUNCT
ejpam-4764	276	13	ỹ′2	ỹ′2	PROPN
ejpam-4764	276	14	(	(	PUNCT
ejpam-4764	276	15	ξ	ξ	PROPN
ejpam-4764	276	16	,	,	PUNCT
ejpam-4764	276	17	α	α	NOUN
ejpam-4764	276	18	)	)	PUNCT
ejpam-4764	276	19	]	]	PUNCT
ejpam-4764	276	20	dξ	dξ	PROPN
ejpam-4764	276	21	,	,	PUNCT
ejpam-4764	276	22	ỹ2	ỹ2	PROPN
ejpam-4764	276	23	(	(	PUNCT
ejpam-4764	276	24	x	x	NOUN
ejpam-4764	276	25	,	,	PUNCT
ejpam-4764	276	26	α	α	NOUN
ejpam-4764	276	27	)	)	PUNCT
ejpam-4764	276	28	=	=	SYM
ejpam-4764	277	1	h̃2	h̃2	PROPN
ejpam-4764	277	2	(	(	PUNCT
ejpam-4764	277	3	x	x	X
ejpam-4764	277	4	,	,	PUNCT
ejpam-4764	277	5	α)−	α)−	VERB
ejpam-4764	277	6	∫	∫	PROPN
ejpam-4764	277	7	1	1	NUM
ejpam-4764	277	8	0	0	NUM
ejpam-4764	277	9	g	g	PROPN
ejpam-4764	277	10	(	(	PUNCT
ejpam-4764	277	11	x	x	X
ejpam-4764	277	12	,	,	PUNCT
ejpam-4764	277	13	ξ	ξ	NOUN
ejpam-4764	277	14	)	)	PUNCT
ejpam-4764	277	15	f̃2	f̃2	PROPN
ejpam-4764	277	16	(	(	PUNCT
ejpam-4764	277	17	ξ	ξ	PROPN
ejpam-4764	277	18	,	,	PUNCT
ejpam-4764	277	19	α	α	NOUN
ejpam-4764	277	20	)	)	PUNCT
ejpam-4764	277	21	dξ	dξ	VERB
ejpam-4764	278	1	+	+	PROPN
ejpam-4764	278	2	p	p	X
ejpam-4764	278	3	∫	∫	PROPN
ejpam-4764	278	4	1	1	NUM
ejpam-4764	278	5	0	0	NUM
ejpam-4764	278	6	g	g	PROPN
ejpam-4764	278	7	(	(	PUNCT
ejpam-4764	278	8	x	x	X
ejpam-4764	278	9	,	,	PUNCT
ejpam-4764	278	10	ξ	ξ	NOUN
ejpam-4764	278	11	)	)	PUNCT
ejpam-4764	278	12	[	[	PUNCT
ejpam-4764	278	13	ξỹ′1	ξỹ′1	X
ejpam-4764	278	14	(	(	PUNCT
ejpam-4764	278	15	ξ	ξ	PROPN
ejpam-4764	278	16	,	,	PUNCT
ejpam-4764	278	17	α	α	NOUN
ejpam-4764	278	18	)	)	PUNCT
ejpam-4764	278	19	+	+	NUM
ejpam-4764	278	20	ξỹ21	ξỹ21	NOUN
ejpam-4764	278	21	(	(	PUNCT
ejpam-4764	278	22	ξ	ξ	PROPN
ejpam-4764	278	23	,	,	PUNCT
ejpam-4764	278	24	α	α	NOUN
ejpam-4764	278	25	)	)	PUNCT
ejpam-4764	278	26	]	]	PUNCT
ejpam-4764	278	27	dξ	dξ	PROPN
ejpam-4764	278	28	,	,	PUNCT
ejpam-4764	278	29	(	(	PUNCT
ejpam-4764	278	30	32	32	NUM
ejpam-4764	278	31	)	)	PUNCT
ejpam-4764	279	1	where	where	SCONJ
ejpam-4764	279	2	h̃i	h̃i	ADV
ejpam-4764	279	3	(	(	PUNCT
ejpam-4764	279	4	x	x	NOUN
ejpam-4764	279	5	,	,	PUNCT
ejpam-4764	279	6	α	α	NOUN
ejpam-4764	279	7	)	)	PUNCT
ejpam-4764	279	8	is	be	AUX
ejpam-4764	279	9	the	the	DET
ejpam-4764	279	10	solution	solution	NOUN
ejpam-4764	279	11	of	of	ADP
ejpam-4764	279	12	y′′i	y′′i	PROPN
ejpam-4764	279	13	(	(	PUNCT
ejpam-4764	279	14	x	x	X
ejpam-4764	279	15	,	,	PUNCT
ejpam-4764	279	16	α	α	NOUN
ejpam-4764	279	17	)	)	PUNCT
ejpam-4764	279	18	=	=	SYM
ejpam-4764	279	19	0	0	NUM
ejpam-4764	279	20	,	,	PUNCT
ejpam-4764	279	21	i	i	PRON
ejpam-4764	279	22	=	=	NOUN
ejpam-4764	279	23	1	1	NUM
ejpam-4764	279	24	,	,	PUNCT
ejpam-4764	279	25	2	2	NUM
ejpam-4764	279	26	with	with	ADP
ejpam-4764	279	27	the	the	DET
ejpam-4764	279	28	boundary	boundary	ADJ
ejpam-4764	279	29	conditions	condition	NOUN
ejpam-4764	279	30	(	(	PUNCT
ejpam-4764	279	31	30	30	NUM
ejpam-4764	279	32	)	)	PUNCT
ejpam-4764	279	33	and	and	CCONJ
ejpam-4764	279	34	g(x	g(x	NOUN
ejpam-4764	279	35	,	,	PUNCT
ejpam-4764	279	36	ξ	ξ	X
ejpam-4764	279	37	)	)	PUNCT
ejpam-4764	279	38	is	be	AUX
ejpam-4764	279	39	the	the	DET
ejpam-4764	279	40	green	green	PROPN
ejpam-4764	279	41	’s	’s	PART
ejpam-4764	279	42	function	function	NOUN
ejpam-4764	279	43	given	give	VERB
ejpam-4764	279	44	by	by	ADP
ejpam-4764	279	45	(	(	PUNCT
ejpam-4764	279	46	17	17	NUM
ejpam-4764	279	47	)	)	PUNCT
ejpam-4764	279	48	.	.	PUNCT
ejpam-4764	280	1	substituting	substitute	VERB
ejpam-4764	280	2	eqs	eqs	PROPN
ejpam-4764	280	3	.	.	PUNCT
ejpam-4764	281	1	(	(	PUNCT
ejpam-4764	281	2	10	10	NUM
ejpam-4764	281	3	)	)	PUNCT
ejpam-4764	281	4	and	and	CCONJ
ejpam-4764	281	5	(	(	PUNCT
ejpam-4764	281	6	11	11	NUM
ejpam-4764	281	7	)	)	PUNCT
ejpam-4764	281	8	into	into	ADP
ejpam-4764	281	9	w.	w.	PROPN
ejpam-4764	281	10	al	al	PROPN
ejpam-4764	281	11	-	-	PUNCT
ejpam-4764	281	12	hayani	hayani	PROPN
ejpam-4764	281	13	,	,	PUNCT
ejpam-4764	281	14	m	m	VERB
ejpam-4764	281	15	t.	t.	NOUN
ejpam-4764	281	16	younis	younis	PROPN
ejpam-4764	281	17	/	/	SYM
ejpam-4764	281	18	eur	eur	PROPN
ejpam-4764	281	19	.	.	PUNCT
ejpam-4764	282	1	j.	j.	PROPN
ejpam-4764	282	2	pure	pure	PROPN
ejpam-4764	282	3	appl	appl	PROPN
ejpam-4764	282	4	.	.	PROPN
ejpam-4764	282	5	math	math	PROPN
ejpam-4764	282	6	,	,	PUNCT
ejpam-4764	282	7	16	16	NUM
ejpam-4764	282	8	(	(	PUNCT
ejpam-4764	282	9	2	2	NUM
ejpam-4764	282	10	)	)	PUNCT
ejpam-4764	282	11	(	(	PUNCT
ejpam-4764	282	12	2023	2023	NUM
ejpam-4764	282	13	)	)	PUNCT
ejpam-4764	282	14	,	,	PUNCT
ejpam-4764	282	15	1236	1236	NUM
ejpam-4764	282	16	-	-	SYM
ejpam-4764	282	17	1259	1259	NUM
ejpam-4764	282	18	1252	1252	NUM
ejpam-4764	282	19	equation	equation	NOUN
ejpam-4764	282	20	32	32	NUM
ejpam-4764	282	21	,	,	PUNCT
ejpam-4764	282	22	we	we	PRON
ejpam-4764	282	23	obtain	obtain	VERB
ejpam-4764	282	24	∞∑	∞∑	NUM
ejpam-4764	282	25	n=0	n=0	NUM
ejpam-4764	282	26	pnỹ1,n	pnỹ1,n	NOUN
ejpam-4764	282	27	(	(	PUNCT
ejpam-4764	282	28	x	x	X
ejpam-4764	282	29	,	,	PUNCT
ejpam-4764	282	30	α	α	NOUN
ejpam-4764	282	31	)	)	PUNCT
ejpam-4764	283	1	=	=	SYM
ejpam-4764	283	2	h̃1	h̃1	PROPN
ejpam-4764	283	3	(	(	PUNCT
ejpam-4764	283	4	x	x	X
ejpam-4764	283	5	,	,	PUNCT
ejpam-4764	283	6	α)−	α)−	VERB
ejpam-4764	283	7	∫	∫	PROPN
ejpam-4764	283	8	1	1	NUM
ejpam-4764	283	9	0	0	NUM
ejpam-4764	283	10	g	g	PROPN
ejpam-4764	283	11	(	(	PUNCT
ejpam-4764	283	12	x	x	X
ejpam-4764	283	13	,	,	PUNCT
ejpam-4764	283	14	ξ	ξ	NOUN
ejpam-4764	283	15	)	)	PUNCT
ejpam-4764	283	16	f̃1	f̃1	PROPN
ejpam-4764	283	17	(	(	PUNCT
ejpam-4764	283	18	ξ	ξ	PROPN
ejpam-4764	283	19	,	,	PUNCT
ejpam-4764	283	20	α	α	NOUN
ejpam-4764	283	21	)	)	PUNCT
ejpam-4764	283	22	dξ	dξ	VERB
ejpam-4764	284	1	+	+	PROPN
ejpam-4764	284	2	p	p	X
ejpam-4764	284	3	∫	∫	PROPN
ejpam-4764	284	4	1	1	NUM
ejpam-4764	284	5	0	0	NUM
ejpam-4764	284	6	g	g	PROPN
ejpam-4764	284	7	(	(	PUNCT
ejpam-4764	284	8	x	x	X
ejpam-4764	284	9	,	,	PUNCT
ejpam-4764	284	10	ξ	ξ	NOUN
ejpam-4764	284	11	)	)	PUNCT
ejpam-4764	284	12	[	[	PUNCT
ejpam-4764	284	13	ξ	ξ	X
ejpam-4764	284	14	∞∑	∞∑	PROPN
ejpam-4764	284	15	n=0	n=0	PROPN
ejpam-4764	284	16	pnỹ′1,n	pnỹ′1,n	PROPN
ejpam-4764	284	17	(	(	PUNCT
ejpam-4764	284	18	ξ	ξ	PROPN
ejpam-4764	284	19	,	,	PUNCT
ejpam-4764	284	20	α	α	NOUN
ejpam-4764	284	21	)	)	PUNCT
ejpam-4764	284	22	+	+	CCONJ
ejpam-4764	284	23	cos	cos	X
ejpam-4764	284	24	(	(	PUNCT
ejpam-4764	284	25	πx	πx	NOUN
ejpam-4764	284	26	)	)	PUNCT
ejpam-4764	284	27	∞∑	∞∑	PRON
ejpam-4764	284	28	n=0	n=0	PRON
ejpam-4764	284	29	pnỹ′2,n	pnỹ′2,n	PROPN
ejpam-4764	284	30	(	(	PUNCT
ejpam-4764	284	31	ξ	ξ	PROPN
ejpam-4764	284	32	,	,	PUNCT
ejpam-4764	284	33	α	α	NOUN
ejpam-4764	284	34	)	)	PUNCT
ejpam-4764	284	35	]	]	PUNCT
ejpam-4764	285	1	dξ	dξ	PROPN
ejpam-4764	285	2	,	,	PUNCT
ejpam-4764	285	3	∞∑	∞∑	ADJ
ejpam-4764	285	4	n=0	n=0	ADJ
ejpam-4764	285	5	pnỹ2,n	pnỹ2,n	NOUN
ejpam-4764	285	6	(	(	PUNCT
ejpam-4764	285	7	x	x	NOUN
ejpam-4764	285	8	,	,	PUNCT
ejpam-4764	285	9	α	α	NOUN
ejpam-4764	285	10	)	)	PUNCT
ejpam-4764	285	11	=	=	SYM
ejpam-4764	286	1	h̃2	h̃2	PROPN
ejpam-4764	286	2	(	(	PUNCT
ejpam-4764	286	3	x	x	X
ejpam-4764	286	4	,	,	PUNCT
ejpam-4764	286	5	α)−	α)−	VERB
ejpam-4764	286	6	∫	∫	PROPN
ejpam-4764	286	7	1	1	NUM
ejpam-4764	286	8	0	0	NUM
ejpam-4764	286	9	g	g	PROPN
ejpam-4764	286	10	(	(	PUNCT
ejpam-4764	286	11	x	x	X
ejpam-4764	286	12	,	,	PUNCT
ejpam-4764	286	13	ξ	ξ	NOUN
ejpam-4764	286	14	)	)	PUNCT
ejpam-4764	286	15	f̃2	f̃2	PROPN
ejpam-4764	286	16	(	(	PUNCT
ejpam-4764	286	17	ξ	ξ	PROPN
ejpam-4764	286	18	,	,	PUNCT
ejpam-4764	286	19	α	α	NOUN
ejpam-4764	286	20	)	)	PUNCT
ejpam-4764	286	21	dξ	dξ	VERB
ejpam-4764	287	1	+	+	PROPN
ejpam-4764	287	2	p	p	X
ejpam-4764	287	3	∫	∫	PROPN
ejpam-4764	287	4	1	1	NUM
ejpam-4764	287	5	0	0	NUM
ejpam-4764	287	6	g	g	PROPN
ejpam-4764	287	7	(	(	PUNCT
ejpam-4764	287	8	x	x	X
ejpam-4764	287	9	,	,	PUNCT
ejpam-4764	287	10	ξ	ξ	NOUN
ejpam-4764	287	11	)	)	PUNCT
ejpam-4764	287	12	[	[	PUNCT
ejpam-4764	287	13	ξ	ξ	X
ejpam-4764	287	14	∞∑	∞∑	PROPN
ejpam-4764	287	15	n=0	n=0	PROPN
ejpam-4764	287	16	pnỹ′1,n	pnỹ′1,n	PROPN
ejpam-4764	287	17	(	(	PUNCT
ejpam-4764	287	18	ξ	ξ	PROPN
ejpam-4764	287	19	,	,	PUNCT
ejpam-4764	287	20	α	α	NOUN
ejpam-4764	287	21	)	)	PUNCT
ejpam-4764	287	22	+	+	NUM
ejpam-4764	287	23	ξ	ξ	PRON
ejpam-4764	287	24	∞∑	∞∑	ADJ
ejpam-4764	287	25	n=0	n=0	NUM
ejpam-4764	287	26	pnh1,n	pnh1,n	NOUN
ejpam-4764	287	27	]	]	PUNCT
ejpam-4764	287	28	dξ	dξ	PROPN
ejpam-4764	287	29	.	.	PUNCT
ejpam-4764	288	1	(	(	PUNCT
ejpam-4764	288	2	33	33	NUM
ejpam-4764	288	3	)	)	PUNCT
ejpam-4764	288	4	using	use	VERB
ejpam-4764	288	5	the	the	DET
ejpam-4764	288	6	fuzzy	fuzzy	ADJ
ejpam-4764	288	7	hpm	hpm	NOUN
ejpam-4764	288	8	,	,	PUNCT
ejpam-4764	288	9	according	accord	VERB
ejpam-4764	288	10	to	to	ADP
ejpam-4764	288	11	equation	equation	NOUN
ejpam-4764	288	12	33	33	NUM
ejpam-4764	288	13	,	,	PUNCT
ejpam-4764	288	14	the	the	DET
ejpam-4764	288	15	lower	low	ADJ
ejpam-4764	288	16	iterations	iteration	NOUN
ejpam-4764	288	17	(	(	PUNCT
ejpam-4764	288	18	l	l	NOUN
ejpam-4764	288	19	)	)	PUNCT
ejpam-4764	288	20	are	be	AUX
ejpam-4764	288	21	then	then	ADV
ejpam-4764	288	22	determined	determined	ADJ
ejpam-4764	288	23	in	in	ADP
ejpam-4764	288	24	the	the	DET
ejpam-4764	288	25	following	follow	VERB
ejpam-4764	288	26	recursive	recursive	ADJ
ejpam-4764	288	27	way	way	NOUN
ejpam-4764	288	28	:	:	PUNCT
ejpam-4764	288	29	p0	p0	NOUN
ejpam-4764	288	30	:	:	PUNCT
ejpam-4764	288	31			PUNCT
ejpam-4764	288	32	y	y	PROPN
ejpam-4764	288	33	1,0	1,0	NUM
ejpam-4764	288	34	(	(	PUNCT
ejpam-4764	288	35	x	x	NOUN
ejpam-4764	288	36	,	,	PUNCT
ejpam-4764	288	37	α	α	NOUN
ejpam-4764	288	38	)	)	PUNCT
ejpam-4764	289	1	=	=	SYM
ejpam-4764	289	2	h1	h1	ADJ
ejpam-4764	289	3	(	(	PUNCT
ejpam-4764	289	4	x	x	NOUN
ejpam-4764	289	5	,	,	PUNCT
ejpam-4764	289	6	α)−	α)−	VERB
ejpam-4764	289	7	∫	∫	PROPN
ejpam-4764	289	8	1	1	NUM
ejpam-4764	289	9	0	0	NUM
ejpam-4764	289	10	g	g	PROPN
ejpam-4764	289	11	(	(	PUNCT
ejpam-4764	289	12	x	x	X
ejpam-4764	289	13	,	,	PUNCT
ejpam-4764	289	14	ξ	ξ	PROPN
ejpam-4764	289	15	)	)	PUNCT
ejpam-4764	289	16	f	f	NOUN
ejpam-4764	289	17	1	1	NUM
ejpam-4764	289	18	(	(	PUNCT
ejpam-4764	289	19	ξ	ξ	PROPN
ejpam-4764	289	20	,	,	PUNCT
ejpam-4764	289	21	α	α	NOUN
ejpam-4764	289	22	)	)	PUNCT
ejpam-4764	289	23	dξ	dξ	PROPN
ejpam-4764	289	24	,	,	PUNCT
ejpam-4764	289	25	y	y	PROPN
ejpam-4764	289	26	2,0	2,0	NUM
ejpam-4764	289	27	(	(	PUNCT
ejpam-4764	289	28	x	x	NOUN
ejpam-4764	289	29	,	,	PUNCT
ejpam-4764	289	30	α	α	NOUN
ejpam-4764	289	31	)	)	PUNCT
ejpam-4764	289	32	=	=	SYM
ejpam-4764	289	33	h2	h2	NOUN
ejpam-4764	289	34	(	(	PUNCT
ejpam-4764	289	35	x	x	X
ejpam-4764	289	36	,	,	PUNCT
ejpam-4764	289	37	α)−	α)−	VERB
ejpam-4764	289	38	∫	∫	PROPN
ejpam-4764	289	39	1	1	NUM
ejpam-4764	289	40	0	0	NUM
ejpam-4764	289	41	g	g	PROPN
ejpam-4764	289	42	(	(	PUNCT
ejpam-4764	289	43	x	x	X
ejpam-4764	289	44	,	,	PUNCT
ejpam-4764	289	45	ξ	ξ	PROPN
ejpam-4764	289	46	)	)	PUNCT
ejpam-4764	289	47	f	f	PROPN
ejpam-4764	289	48	2	2	NUM
ejpam-4764	289	49	(	(	PUNCT
ejpam-4764	289	50	ξ	ξ	PROPN
ejpam-4764	289	51	,	,	PUNCT
ejpam-4764	289	52	α	α	NOUN
ejpam-4764	289	53	)	)	PUNCT
ejpam-4764	289	54	dξ	dξ	PROPN
ejpam-4764	289	55	,	,	PUNCT
ejpam-4764	289	56	pn	pn	X
ejpam-4764	289	57	:	:	PUNCT
ejpam-4764	289	58			PUNCT
ejpam-4764	289	59	y	y	NOUN
ejpam-4764	289	60	1,n+1	1,n+1	NUM
ejpam-4764	289	61	(	(	PUNCT
ejpam-4764	289	62	x	x	NOUN
ejpam-4764	289	63	,	,	PUNCT
ejpam-4764	289	64	α	α	NOUN
ejpam-4764	289	65	)	)	PUNCT
ejpam-4764	289	66	=	=	SYM
ejpam-4764	290	1	∫	∫	PROPN
ejpam-4764	290	2	01	01	NUM
ejpam-4764	290	3	g	g	PROPN
ejpam-4764	290	4	(	(	PUNCT
ejpam-4764	290	5	x	x	X
ejpam-4764	290	6	,	,	PUNCT
ejpam-4764	290	7	ξ	ξ	NOUN
ejpam-4764	290	8	)	)	PUNCT
ejpam-4764	290	9	[	[	PUNCT
ejpam-4764	290	10	ξy′	ξy′	NUM
ejpam-4764	290	11	1,n	1,n	NUM
ejpam-4764	290	12	(	(	PUNCT
ejpam-4764	290	13	ξ	ξ	PROPN
ejpam-4764	290	14	,	,	PUNCT
ejpam-4764	290	15	α	α	NOUN
ejpam-4764	290	16	)	)	PUNCT
ejpam-4764	291	1	+	+	CCONJ
ejpam-4764	291	2	cos	cos	X
ejpam-4764	291	3	(	(	PUNCT
ejpam-4764	291	4	πx	πx	NOUN
ejpam-4764	291	5	)	)	PUNCT
ejpam-4764	291	6	y′	y′	NOUN
ejpam-4764	291	7	2,n	2,n	NUM
ejpam-4764	291	8	(	(	PUNCT
ejpam-4764	291	9	ξ	ξ	PROPN
ejpam-4764	291	10	,	,	PUNCT
ejpam-4764	291	11	α	α	NOUN
ejpam-4764	291	12	)	)	PUNCT
ejpam-4764	291	13	]	]	PUNCT
ejpam-4764	291	14	dξ	dξ	PROPN
ejpam-4764	291	15	,	,	PUNCT
ejpam-4764	291	16	y	y	PROPN
ejpam-4764	291	17	2,n+1	2,n+1	NUM
ejpam-4764	291	18	(	(	PUNCT
ejpam-4764	291	19	x	x	NOUN
ejpam-4764	291	20	,	,	PUNCT
ejpam-4764	291	21	α	α	NOUN
ejpam-4764	291	22	)	)	PUNCT
ejpam-4764	291	23	=	=	SYM
ejpam-4764	292	1	∫	∫	PROPN
ejpam-4764	292	2	01	01	NUM
ejpam-4764	292	3	g	g	PROPN
ejpam-4764	292	4	(	(	PUNCT
ejpam-4764	292	5	x	x	X
ejpam-4764	292	6	,	,	PUNCT
ejpam-4764	292	7	ξ	ξ	NOUN
ejpam-4764	292	8	)	)	PUNCT
ejpam-4764	292	9	[	[	PUNCT
ejpam-4764	292	10	ξy′	ξy′	NUM
ejpam-4764	292	11	1,n	1,n	NUM
ejpam-4764	292	12	(	(	PUNCT
ejpam-4764	292	13	ξ	ξ	PROPN
ejpam-4764	292	14	,	,	PUNCT
ejpam-4764	292	15	α	α	NOUN
ejpam-4764	292	16	)	)	PUNCT
ejpam-4764	292	17	+	+	NUM
ejpam-4764	292	18	ξh1,n	ξh1,n	NOUN
ejpam-4764	292	19	]	]	PUNCT
ejpam-4764	292	20	dξ	dξ	PROPN
ejpam-4764	292	21	,	,	PUNCT
ejpam-4764	292	22	(	(	PUNCT
ejpam-4764	292	23	34	34	NUM
ejpam-4764	292	24	)	)	PUNCT
ejpam-4764	292	25	and	and	CCONJ
ejpam-4764	292	26	the	the	DET
ejpam-4764	292	27	upper	upper	ADJ
ejpam-4764	292	28	iterations	iteration	NOUN
ejpam-4764	292	29	(	(	PUNCT
ejpam-4764	292	30	u	u	NOUN
ejpam-4764	292	31	)	)	PUNCT
ejpam-4764	292	32	are	be	AUX
ejpam-4764	292	33	p0	p0	NOUN
ejpam-4764	292	34	:	:	PUNCT
ejpam-4764	292	35	{	{	PUNCT
ejpam-4764	292	36	y1,0	y1,0	PROPN
ejpam-4764	292	37	(	(	PUNCT
ejpam-4764	292	38	x	x	NOUN
ejpam-4764	292	39	,	,	PUNCT
ejpam-4764	292	40	α	α	NOUN
ejpam-4764	292	41	)	)	PUNCT
ejpam-4764	292	42	=	=	SYM
ejpam-4764	292	43	h1	h1	ADJ
ejpam-4764	292	44	(	(	PUNCT
ejpam-4764	292	45	x	x	NOUN
ejpam-4764	292	46	,	,	PUNCT
ejpam-4764	292	47	α)−	α)−	VERB
ejpam-4764	292	48	∫	∫	PROPN
ejpam-4764	292	49	1	1	NUM
ejpam-4764	292	50	0	0	NUM
ejpam-4764	292	51	g	g	PROPN
ejpam-4764	292	52	(	(	PUNCT
ejpam-4764	292	53	x	x	NOUN
ejpam-4764	292	54	,	,	PUNCT
ejpam-4764	292	55	ξ	ξ	NOUN
ejpam-4764	292	56	)	)	PUNCT
ejpam-4764	292	57	f1	f1	NOUN
ejpam-4764	292	58	(	(	PUNCT
ejpam-4764	292	59	ξ	ξ	PROPN
ejpam-4764	292	60	,	,	PUNCT
ejpam-4764	292	61	α	α	NOUN
ejpam-4764	292	62	)	)	PUNCT
ejpam-4764	292	63	dξ	dξ	PROPN
ejpam-4764	292	64	,	,	PUNCT
ejpam-4764	292	65	y2,0	y2,0	PROPN
ejpam-4764	292	66	(	(	PUNCT
ejpam-4764	292	67	x	x	NOUN
ejpam-4764	292	68	,	,	PUNCT
ejpam-4764	292	69	α	α	NOUN
ejpam-4764	292	70	)	)	PUNCT
ejpam-4764	292	71	=	=	SYM
ejpam-4764	292	72	h2	h2	NOUN
ejpam-4764	292	73	(	(	PUNCT
ejpam-4764	292	74	x	x	X
ejpam-4764	292	75	,	,	PUNCT
ejpam-4764	292	76	α)−	α)−	VERB
ejpam-4764	292	77	∫	∫	PROPN
ejpam-4764	293	1	1	1	NUM
ejpam-4764	293	2	0	0	NUM
ejpam-4764	293	3	g	g	PROPN
ejpam-4764	293	4	(	(	PUNCT
ejpam-4764	293	5	x	x	X
ejpam-4764	293	6	,	,	PUNCT
ejpam-4764	293	7	ξ	ξ	X
ejpam-4764	293	8	)	)	PUNCT
ejpam-4764	293	9	f2	f2	PROPN
ejpam-4764	293	10	(	(	PUNCT
ejpam-4764	293	11	ξ	ξ	PROPN
ejpam-4764	293	12	,	,	PUNCT
ejpam-4764	293	13	α	α	NOUN
ejpam-4764	293	14	)	)	PUNCT
ejpam-4764	293	15	dξ	dξ	PROPN
ejpam-4764	293	16	,	,	PUNCT
ejpam-4764	293	17	pn	pn	X
ejpam-4764	293	18	:	:	PUNCT
ejpam-4764	293	19	{	{	PUNCT
ejpam-4764	293	20	y1,n+1	y1,n+1	PROPN
ejpam-4764	293	21	(	(	PUNCT
ejpam-4764	293	22	x	x	NOUN
ejpam-4764	293	23	,	,	PUNCT
ejpam-4764	293	24	α	α	NOUN
ejpam-4764	293	25	)	)	PUNCT
ejpam-4764	293	26	=	=	SYM
ejpam-4764	294	1	∫	∫	PROPN
ejpam-4764	294	2	1	1	NUM
ejpam-4764	294	3	0	0	NUM
ejpam-4764	294	4	g	g	PROPN
ejpam-4764	294	5	(	(	PUNCT
ejpam-4764	294	6	x	x	X
ejpam-4764	294	7	,	,	PUNCT
ejpam-4764	294	8	ξ	ξ	NOUN
ejpam-4764	294	9	)	)	PUNCT
ejpam-4764	294	10	[	[	PUNCT
ejpam-4764	294	11	ξy′1,n	ξy′1,n	X
ejpam-4764	294	12	(	(	PUNCT
ejpam-4764	294	13	ξ	ξ	X
ejpam-4764	294	14	,	,	PUNCT
ejpam-4764	294	15	α	α	NOUN
ejpam-4764	294	16	)	)	PUNCT
ejpam-4764	295	1	+	+	CCONJ
ejpam-4764	295	2	cos	cos	X
ejpam-4764	295	3	(	(	PUNCT
ejpam-4764	295	4	πx	πx	NOUN
ejpam-4764	295	5	)	)	PUNCT
ejpam-4764	295	6	y′2,n	y′2,n	NOUN
ejpam-4764	295	7	(	(	PUNCT
ejpam-4764	295	8	ξ	ξ	PROPN
ejpam-4764	295	9	,	,	PUNCT
ejpam-4764	295	10	α	α	NOUN
ejpam-4764	295	11	)	)	PUNCT
ejpam-4764	295	12	]	]	PUNCT
ejpam-4764	295	13	dξ	dξ	PROPN
ejpam-4764	295	14	,	,	PUNCT
ejpam-4764	295	15	y2,n+1	y2,n+1	PROPN
ejpam-4764	295	16	(	(	PUNCT
ejpam-4764	295	17	x	x	NOUN
ejpam-4764	295	18	,	,	PUNCT
ejpam-4764	295	19	α	α	NOUN
ejpam-4764	295	20	)	)	PUNCT
ejpam-4764	295	21	=	=	SYM
ejpam-4764	295	22	∫	∫	PROPN
ejpam-4764	295	23	1	1	NUM
ejpam-4764	295	24	0	0	NUM
ejpam-4764	295	25	g	g	PROPN
ejpam-4764	295	26	(	(	PUNCT
ejpam-4764	295	27	x	x	X
ejpam-4764	295	28	,	,	PUNCT
ejpam-4764	295	29	ξ	ξ	NOUN
ejpam-4764	295	30	)	)	PUNCT
ejpam-4764	295	31	[	[	PUNCT
ejpam-4764	295	32	ξy′1,n	ξy′1,n	X
ejpam-4764	295	33	(	(	PUNCT
ejpam-4764	295	34	ξ	ξ	X
ejpam-4764	295	35	,	,	PUNCT
ejpam-4764	295	36	α	α	NOUN
ejpam-4764	295	37	)	)	PUNCT
ejpam-4764	295	38	+	+	NUM
ejpam-4764	295	39	ξh1,n	ξh1,n	NOUN
ejpam-4764	295	40	]	]	PUNCT
ejpam-4764	295	41	dξ	dξ	PROPN
ejpam-4764	295	42	.	.	PUNCT
ejpam-4764	295	43	(	(	PUNCT
ejpam-4764	295	44	35	35	NUM
ejpam-4764	295	45	)	)	PUNCT
ejpam-4764	296	1	where	where	SCONJ
ejpam-4764	296	2	the	the	DET
ejpam-4764	296	3	nonlinear	nonlinear	ADJ
ejpam-4764	296	4	terms	term	NOUN
ejpam-4764	296	5	defined	define	VERB
ejpam-4764	296	6	by	by	ADP
ejpam-4764	296	7	the	the	DET
ejpam-4764	296	8	series	series	NOUN
ejpam-4764	296	9	y2	y2	PROPN
ejpam-4764	296	10	1,n	1,n	NUM
ejpam-4764	296	11	(	(	PUNCT
ejpam-4764	296	12	ξ	ξ	PROPN
ejpam-4764	296	13	,	,	PUNCT
ejpam-4764	296	14	α	α	NOUN
ejpam-4764	296	15	)	)	PUNCT
ejpam-4764	296	16	=	=	NOUN
ejpam-4764	296	17	∑∞	∑∞	NOUN
ejpam-4764	296	18	n=0h1,n	n=0h1,n	PROPN
ejpam-4764	296	19	,	,	PUNCT
ejpam-4764	296	20	y21,n	y21,n	X
ejpam-4764	296	21	(	(	PUNCT
ejpam-4764	296	22	ξ	ξ	PROPN
ejpam-4764	296	23	,	,	PUNCT
ejpam-4764	296	24	α	α	NOUN
ejpam-4764	296	25	)	)	PUNCT
ejpam-4764	296	26	=	=	NOUN
ejpam-4764	296	27	∑∞	∑∞	NOUN
ejpam-4764	296	28	n=0h1,n	n=0h1,n	NOUN
ejpam-4764	296	29	,	,	PUNCT
ejpam-4764	296	30	and	and	CCONJ
ejpam-4764	296	31	the	the	DET
ejpam-4764	296	32	corresponding	correspond	VERB
ejpam-4764	296	33	he	he	PRON
ejpam-4764	296	34	’s	’	VERB
ejpam-4764	296	35	polynomials	polynomial	NOUN
ejpam-4764	296	36	[	[	PUNCT
ejpam-4764	296	37	h1,n	h1,n	PROPN
ejpam-4764	296	38	,	,	PUNCT
ejpam-4764	296	39	h1,n	h1,n	PROPN
ejpam-4764	296	40	]	]	PUNCT
ejpam-4764	296	41	[	[	X
ejpam-4764	296	42	11	11	NUM
ejpam-4764	296	43	]	]	PUNCT
ejpam-4764	296	44	are	be	AUX
ejpam-4764	296	45	h1,n	h1,n	PROPN
ejpam-4764	296	46	=	=	PUNCT
ejpam-4764	296	47	∑∞	∑∞	NOUN
ejpam-4764	296	48	n=0	n=0	PUNCT
ejpam-4764	296	49	y1,iy1,n−i	y1,iy1,n−i	X
ejpam-4764	296	50	,	,	PUNCT
ejpam-4764	296	51	h1,n	h1,n	PROPN
ejpam-4764	296	52	=	=	PUNCT
ejpam-4764	296	53	∑∞	∑∞	NOUN
ejpam-4764	296	54	n=0	n=0	NUM
ejpam-4764	296	55	y1,iy1,n−i	y1,iy1,n−i	NOUN
ejpam-4764	296	56	,	,	PUNCT
ejpam-4764	296	57	n	n	PRON
ejpam-4764	296	58	≥	≥	NOUN
ejpam-4764	296	59	i	i	NOUN
ejpam-4764	296	60	,	,	PUNCT
ejpam-4764	296	61	n	n	PROPN
ejpam-4764	296	62	=	=	SYM
ejpam-4764	296	63	0	0	NUM
ejpam-4764	296	64	,	,	PUNCT
ejpam-4764	296	65	1	1	NUM
ejpam-4764	296	66	,	,	PUNCT
ejpam-4764	296	67	2	2	NUM
ejpam-4764	296	68	,	,	PUNCT
ejpam-4764	296	69	.	.	PUNCT
ejpam-4764	296	70	.	.	PUNCT
ejpam-4764	296	71	.	.	PUNCT
ejpam-4764	297	1	by	by	ADP
ejpam-4764	297	2	solving	solve	VERB
ejpam-4764	297	3	the	the	DET
ejpam-4764	297	4	system	system	NOUN
ejpam-4764	297	5	(	(	PUNCT
ejpam-4764	297	6	34	34	NUM
ejpam-4764	297	7	)	)	PUNCT
ejpam-4764	297	8	and	and	CCONJ
ejpam-4764	297	9	(	(	PUNCT
ejpam-4764	297	10	35	35	NUM
ejpam-4764	297	11	)	)	PUNCT
ejpam-4764	297	12	,	,	PUNCT
ejpam-4764	297	13	we	we	PRON
ejpam-4764	297	14	obtain	obtain	VERB
ejpam-4764	297	15	the	the	DET
ejpam-4764	297	16	iterations	iteration	NOUN
ejpam-4764	297	17	ỹi,0	ỹi,0	X
ejpam-4764	297	18	(	(	PUNCT
ejpam-4764	297	19	x	x	NOUN
ejpam-4764	297	20	,	,	PUNCT
ejpam-4764	297	21	α	α	NOUN
ejpam-4764	297	22	)	)	PUNCT
ejpam-4764	297	23	,	,	PUNCT
ejpam-4764	297	24	ỹi,1	ỹi,1	PROPN
ejpam-4764	298	1	(	(	PUNCT
ejpam-4764	298	2	x	x	PROPN
ejpam-4764	298	3	,	,	PUNCT
ejpam-4764	298	4	α	α	NOUN
ejpam-4764	298	5	)	)	PUNCT
ejpam-4764	298	6	,	,	PUNCT
ejpam-4764	298	7	.	.	PUNCT
ejpam-4764	298	8	.	.	PUNCT
ejpam-4764	299	1	.	.	PUNCT
ejpam-4764	300	1	,	,	PUNCT
ejpam-4764	300	2	ỹi	ỹi	X
ejpam-4764	300	3	,	,	PUNCT
ejpam-4764	300	4	n	n	PRON
ejpam-4764	300	5	(	(	PUNCT
ejpam-4764	300	6	x	x	NOUN
ejpam-4764	300	7	,	,	PUNCT
ejpam-4764	300	8	α	α	NOUN
ejpam-4764	300	9	)	)	PUNCT
ejpam-4764	300	10	,	,	PUNCT
ejpam-4764	300	11	i	i	PRON
ejpam-4764	300	12	=	=	NOUN
ejpam-4764	300	13	1	1	NUM
ejpam-4764	300	14	,	,	PUNCT
ejpam-4764	300	15	2	2	NUM
ejpam-4764	300	16	.	.	PUNCT
ejpam-4764	301	1	thus	thus	ADV
ejpam-4764	301	2	,	,	PUNCT
ejpam-4764	301	3	the	the	DET
ejpam-4764	301	4	approximated	approximate	VERB
ejpam-4764	301	5	solution	solution	NOUN
ejpam-4764	301	6	in	in	ADP
ejpam-4764	301	7	a	a	DET
ejpam-4764	301	8	series	series	NOUN
ejpam-4764	301	9	form	form	NOUN
ejpam-4764	301	10	is	be	AUX
ejpam-4764	301	11	given	give	VERB
ejpam-4764	301	12	by	by	ADP
ejpam-4764	301	13	ỹi	ỹi	ADJ
ejpam-4764	301	14	(	(	PUNCT
ejpam-4764	301	15	x	x	NOUN
ejpam-4764	301	16	,	,	PUNCT
ejpam-4764	301	17	α	α	NOUN
ejpam-4764	301	18	)	)	PUNCT
ejpam-4764	301	19	=	=	SYM
ejpam-4764	302	1	2∑	2∑	NOUN
ejpam-4764	302	2	n=0	n=0	NUM
ejpam-4764	302	3	ỹi	ỹi	PROPN
ejpam-4764	302	4	,	,	PUNCT
ejpam-4764	302	5	n	n	PRON
ejpam-4764	302	6	(	(	PUNCT
ejpam-4764	302	7	x	x	NOUN
ejpam-4764	302	8	,	,	PUNCT
ejpam-4764	302	9	α	α	NOUN
ejpam-4764	302	10	)	)	PUNCT
ejpam-4764	302	11	.	.	PUNCT
ejpam-4764	303	1	w.	w.	PROPN
ejpam-4764	303	2	al	al	PROPN
ejpam-4764	303	3	-	-	PUNCT
ejpam-4764	303	4	hayani	hayani	PROPN
ejpam-4764	303	5	,	,	PUNCT
ejpam-4764	303	6	m	m	VERB
ejpam-4764	303	7	t.	t.	NOUN
ejpam-4764	303	8	younis	younis	PROPN
ejpam-4764	303	9	/	/	SYM
ejpam-4764	303	10	eur	eur	PROPN
ejpam-4764	303	11	.	.	PUNCT
ejpam-4764	304	1	j.	j.	PROPN
ejpam-4764	304	2	pure	pure	PROPN
ejpam-4764	304	3	appl	appl	PROPN
ejpam-4764	304	4	.	.	PROPN
ejpam-4764	304	5	math	math	PROPN
ejpam-4764	304	6	,	,	PUNCT
ejpam-4764	304	7	16	16	NUM
ejpam-4764	304	8	(	(	PUNCT
ejpam-4764	304	9	2	2	NUM
ejpam-4764	304	10	)	)	PUNCT
ejpam-4764	304	11	(	(	PUNCT
ejpam-4764	304	12	2023	2023	NUM
ejpam-4764	304	13	)	)	PUNCT
ejpam-4764	304	14	,	,	PUNCT
ejpam-4764	304	15	1236	1236	NUM
ejpam-4764	304	16	-	-	SYM
ejpam-4764	304	17	1259	1259	NUM
ejpam-4764	304	18	1253	1253	NUM
ejpam-4764	304	19	we	we	PRON
ejpam-4764	304	20	compare	compare	VERB
ejpam-4764	304	21	the	the	DET
ejpam-4764	304	22	approximated	approximated	ADJ
ejpam-4764	304	23	solution	solution	NOUN
ejpam-4764	304	24	using	use	VERB
ejpam-4764	304	25	the	the	DET
ejpam-4764	304	26	hpm	hpm	NOUN
ejpam-4764	304	27	(	(	PUNCT
ejpam-4764	304	28	n	n	NOUN
ejpam-4764	304	29	=	=	SYM
ejpam-4764	304	30	2	2	NUM
ejpam-4764	304	31	)	)	PUNCT
ejpam-4764	304	32	with	with	ADP
ejpam-4764	304	33	the	the	DET
ejpam-4764	304	34	exact	exact	ADJ
ejpam-4764	304	35	solution	solution	NOUN
ejpam-4764	304	36	and	and	CCONJ
ejpam-4764	304	37	the	the	DET
ejpam-4764	304	38	error	error	NOUN
ejpam-4764	304	39	produced	produce	VERB
ejpam-4764	304	40	in	in	ADP
ejpam-4764	304	41	tables	table	NOUN
ejpam-4764	304	42	6–9	6–9	PROPN
ejpam-4764	304	43	.	.	PUNCT
ejpam-4764	304	44	table	table	NOUN
ejpam-4764	304	45	10	10	NUM
ejpam-4764	304	46	demonstrates	demonstrate	VERB
ejpam-4764	304	47	the	the	DET
ejpam-4764	304	48	maximum	maximum	ADJ
ejpam-4764	304	49	errors	error	NOUN
ejpam-4764	304	50	on	on	ADP
ejpam-4764	304	51	the	the	DET
ejpam-4764	304	52	interval	interval	NOUN
ejpam-4764	304	53	0	0	NUM
ejpam-4764	304	54	≤	≤	NUM
ejpam-4764	304	55	x	x	SYM
ejpam-4764	304	56	≤	≤	NUM
ejpam-4764	304	57	1	1	NUM
ejpam-4764	304	58	.	.	PUNCT
ejpam-4764	304	59	table	table	NOUN
ejpam-4764	304	60	6	6	NUM
ejpam-4764	304	61	:	:	PUNCT
ejpam-4764	304	62	comparison	comparison	NOUN
ejpam-4764	304	63	of	of	ADP
ejpam-4764	304	64	the	the	DET
ejpam-4764	304	65	numerical	numerical	ADJ
ejpam-4764	304	66	results	result	NOUN
ejpam-4764	304	67	for	for	ADP
ejpam-4764	304	68	y	y	PROPN
ejpam-4764	304	69	1	1	NUM
ejpam-4764	304	70	(	(	PUNCT
ejpam-4764	304	71	x	x	NOUN
ejpam-4764	304	72	,	,	PUNCT
ejpam-4764	304	73	α	α	NOUN
ejpam-4764	304	74	)	)	PUNCT
ejpam-4764	304	75	(	(	PUNCT
ejpam-4764	304	76	problem	problem	NOUN
ejpam-4764	304	77	2	2	NUM
ejpam-4764	304	78	)	)	PUNCT
ejpam-4764	304	79	α	α	NOUN
ejpam-4764	304	80	x	x	PUNCT
ejpam-4764	304	81	y	y	PROPN
ejpam-4764	304	82	1,e	1,e	NUM
ejpam-4764	304	83	(	(	PUNCT
ejpam-4764	304	84	x	x	NOUN
ejpam-4764	304	85	,	,	PUNCT
ejpam-4764	304	86	α	α	NOUN
ejpam-4764	304	87	)	)	PUNCT
ejpam-4764	304	88	y	y	PROPN
ejpam-4764	304	89	1,2	1,2	NUM
ejpam-4764	304	90	(	(	PUNCT
ejpam-4764	304	91	x	x	NOUN
ejpam-4764	304	92	,	,	PUNCT
ejpam-4764	304	93	α	α	NOUN
ejpam-4764	304	94	)	)	PUNCT
ejpam-4764	304	95	ael	ael	PROPN
ejpam-4764	304	96	0.25	0.25	NUM
ejpam-4764	304	97	0.1	0.1	NUM
ejpam-4764	304	98	−0.0056156	−0.0056156	NOUN
ejpam-4764	304	99	−0.0056463	−0.0056463	X
ejpam-4764	305	1	3.067e	3.067e	NUM
ejpam-4764	306	1	−	−	PROPN
ejpam-4764	307	1	05	05	NUM
ejpam-4764	308	1	0.3	0.3	NUM
ejpam-4764	308	2	−0.0129290	−0.0129290	NUM
ejpam-4764	308	3	−0.0128439	−0.0128439	NUM
ejpam-4764	308	4	8.503e	8.503e	NOUN
ejpam-4764	308	5	−	−	NUM
ejpam-4764	308	6	05	05	NUM
ejpam-4764	308	7	0.5	0.5	NUM
ejpam-4764	308	8	−0.0149820	−0.0149820	NOUN
ejpam-4764	308	9	−0.0146152	−0.0146152	NUM
ejpam-4764	309	1	3.667e	3.667e	NUM
ejpam-4764	309	2	−	−	NOUN
ejpam-4764	309	3	04	04	NUM
ejpam-4764	310	1	0.7	0.7	NUM
ejpam-4764	310	2	−0.0120790	−0.0120790	NOUN
ejpam-4764	310	3	−0.0113873	−0.0113873	VERB
ejpam-4764	310	4	6.917e	6.917e	NUM
ejpam-4764	310	5	−	−	NOUN
ejpam-4764	310	6	04	04	NUM
ejpam-4764	310	7	0.9	0.9	NUM
ejpam-4764	310	8	−0.0048957	−0.0048957	NOUN
ejpam-4764	310	9	−0.0042341	−0.0042341	X
ejpam-4764	310	10	6.615e	6.615e	NOUN
ejpam-4764	310	11	−	−	NUM
ejpam-4764	310	12	04	04	NUM
ejpam-4764	310	13	0.50	0.50	NUM
ejpam-4764	310	14	0.1	0.1	NUM
ejpam-4764	310	15	−0.0224625	−0.0224625	SYM
ejpam-4764	310	16	−0.0226306	−0.0226306	NOUN
ejpam-4764	311	1	1.681e	1.681e	NOUN
ejpam-4764	311	2	−	−	NOUN
ejpam-4764	311	3	04	04	NUM
ejpam-4764	311	4	0.3	0.3	NUM
ejpam-4764	311	5	−0.0517160	−0.0517160	PROPN
ejpam-4764	311	6	−0.0519550	−0.0519550	NUM
ejpam-4764	311	7	2.389e	2.389e	PROPN
ejpam-4764	312	1	−	−	NOUN
ejpam-4764	312	2	04	04	NUM
ejpam-4764	312	3	0.5	0.5	NUM
ejpam-4764	312	4	−0.0599281	−0.0599281	NUM
ejpam-4764	312	5	−0.0598771	−0.0598771	NOUN
ejpam-4764	312	6	5.100e	5.100e	NUM
ejpam-4764	312	7	−	−	NOUN
ejpam-4764	312	8	05	05	NUM
ejpam-4764	312	9	0.7	0.7	NUM
ejpam-4764	312	10	−0.0483163	−0.0483163	NUM
ejpam-4764	312	11	−0.0477882	−0.0477882	X
ejpam-4764	312	12	5.280e	5.280e	NUM
ejpam-4764	312	13	−	−	PROPN
ejpam-4764	312	14	03	03	NUM
ejpam-4764	312	15	0.9	0.9	NUM
ejpam-4764	312	16	−0.0195831	−0.0195831	NUM
ejpam-4764	312	17	−0.0189384	−0.0189384	NUM
ejpam-4764	312	18	6.447e	6.447e	NUM
ejpam-4764	312	19	−	−	NUM
ejpam-4764	312	20	04	04	NUM
ejpam-4764	312	21	0.75	0.75	NUM
ejpam-4764	312	22	0.1	0.1	NUM
ejpam-4764	312	23	−0.0505406	−0.0505406	NOUN
ejpam-4764	312	24	−0.0509607	−0.0509607	VERB
ejpam-4764	312	25	4.200e	4.200e	NUM
ejpam-4764	312	26	−	−	PROPN
ejpam-4764	312	27	04	04	NUM
ejpam-4764	312	28	0.3	0.3	NUM
ejpam-4764	313	1	−0.1163610	−0.1163610	X
ejpam-4764	313	2	−0.1171638	−0.1171638	NOUN
ejpam-4764	313	3	8.027e	8.027e	ADJ
ejpam-4764	313	4	−	−	PROPN
ejpam-4764	313	5	04	04	NUM
ejpam-4764	313	6	0.5	0.5	NUM
ejpam-4764	313	7	−0.1348384	−0.1348384	X
ejpam-4764	313	8	−0.1353070	−0.1353070	ADP
ejpam-4764	313	9	4.685e	4.685e	NOUN
ejpam-4764	313	10	−	−	NOUN
ejpam-4764	313	11	04	04	NUM
ejpam-4764	314	1	0.7	0.7	NUM
ejpam-4764	314	2	−0.1087117	−0.1087117	NUM
ejpam-4764	314	3	−0.1084163	−0.1084163	NUM
ejpam-4764	314	4	2.953e	2.953e	NOUN
ejpam-4764	314	5	−	−	NOUN
ejpam-4764	314	6	04	04	NUM
ejpam-4764	314	7	0.9	0.9	NUM
ejpam-4764	314	8	−0.0440621	−0.0440621	PROPN
ejpam-4764	314	9	−0.0433940	−0.0433940	NOUN
ejpam-4764	314	10	6.680e	6.680e	ADJ
ejpam-4764	314	11	−	−	NOUN
ejpam-4764	314	12	04	04	NUM
ejpam-4764	314	13	1.00	1.00	NUM
ejpam-4764	314	14	0.1	0.1	NUM
ejpam-4764	314	15	−0.0898500	−0.0898500	NUM
ejpam-4764	314	16	−0.0906715	−0.0906715	X
ejpam-4764	314	17	8.214e	8.214e	NOUN
ejpam-4764	314	18	−	−	PROPN
ejpam-4764	314	19	04	04	NUM
ejpam-4764	314	20	0.3	0.3	NUM
ejpam-4764	314	21	−0.2068641	−0.2068641	X
ejpam-4764	314	22	−0.2085212	−0.2085212	PROPN
ejpam-4764	314	23	1.657e	1.657e	NUM
ejpam-4764	314	24	−	−	NOUN
ejpam-4764	314	25	03	03	NUM
ejpam-4764	314	26	0.5	0.5	NUM
ejpam-4764	314	27	−0.2397127	−0.2397127	X
ejpam-4764	314	28	−0.2409320	−0.2409320	X
ejpam-4764	314	29	1.219e	1.219e	PROPN
ejpam-4764	314	30	−	−	PROPN
ejpam-4764	314	31	03	03	NUM
ejpam-4764	314	32	0.7	0.7	NUM
ejpam-4764	314	33	−0.1932653	−0.1932653	X
ejpam-4764	314	34	−0.1932705	−0.1932705	NUM
ejpam-4764	314	35	5.257e	5.257e	NUM
ejpam-4764	314	36	−	−	NUM
ejpam-4764	314	37	06	06	NUM
ejpam-4764	314	38	0.9	0.9	NUM
ejpam-4764	314	39	−0.0783326	−0.0783326	NOUN
ejpam-4764	314	40	−0.0775769	−0.0775769	NOUN
ejpam-4764	314	41	7.557e	7.557e	NUM
ejpam-4764	314	42	−	−	PROPN
ejpam-4764	314	43	04	04	NUM
ejpam-4764	314	44	w.	w.	PROPN
ejpam-4764	314	45	al	al	PROPN
ejpam-4764	314	46	-	-	PUNCT
ejpam-4764	314	47	hayani	hayani	PROPN
ejpam-4764	314	48	,	,	PUNCT
ejpam-4764	314	49	m	m	VERB
ejpam-4764	314	50	t.	t.	NOUN
ejpam-4764	314	51	younis	younis	PROPN
ejpam-4764	314	52	/	/	SYM
ejpam-4764	314	53	eur	eur	PROPN
ejpam-4764	314	54	.	.	PUNCT
ejpam-4764	315	1	j.	j.	PROPN
ejpam-4764	315	2	pure	pure	PROPN
ejpam-4764	315	3	appl	appl	PROPN
ejpam-4764	315	4	.	.	PROPN
ejpam-4764	315	5	math	math	PROPN
ejpam-4764	315	6	,	,	PUNCT
ejpam-4764	315	7	16	16	NUM
ejpam-4764	315	8	(	(	PUNCT
ejpam-4764	315	9	2	2	NUM
ejpam-4764	315	10	)	)	PUNCT
ejpam-4764	315	11	(	(	PUNCT
ejpam-4764	315	12	2023	2023	NUM
ejpam-4764	315	13	)	)	PUNCT
ejpam-4764	315	14	,	,	PUNCT
ejpam-4764	315	15	1236	1236	NUM
ejpam-4764	315	16	-	-	SYM
ejpam-4764	315	17	1259	1259	NUM
ejpam-4764	315	18	1254	1254	NUM
ejpam-4764	315	19	table	table	NOUN
ejpam-4764	315	20	7	7	NUM
ejpam-4764	315	21	:	:	PUNCT
ejpam-4764	315	22	comparison	comparison	NOUN
ejpam-4764	315	23	of	of	ADP
ejpam-4764	315	24	the	the	DET
ejpam-4764	315	25	numerical	numerical	ADJ
ejpam-4764	315	26	results	result	NOUN
ejpam-4764	315	27	for	for	ADP
ejpam-4764	315	28	y1	y1	NOUN
ejpam-4764	315	29	(	(	PUNCT
ejpam-4764	315	30	x	x	NOUN
ejpam-4764	315	31	,	,	PUNCT
ejpam-4764	315	32	α	α	NOUN
ejpam-4764	315	33	)	)	PUNCT
ejpam-4764	315	34	(	(	PUNCT
ejpam-4764	315	35	problem	problem	NOUN
ejpam-4764	315	36	2	2	NUM
ejpam-4764	315	37	)	)	PUNCT
ejpam-4764	315	38	α	α	NOUN
ejpam-4764	315	39	x	x	X
ejpam-4764	315	40	y1,e	y1,e	PROPN
ejpam-4764	315	41	(	(	PUNCT
ejpam-4764	315	42	x	x	NOUN
ejpam-4764	315	43	,	,	PUNCT
ejpam-4764	315	44	α	α	NOUN
ejpam-4764	315	45	)	)	PUNCT
ejpam-4764	315	46	y1,2	y1,2	PROPN
ejpam-4764	315	47	(	(	PUNCT
ejpam-4764	315	48	x	x	NOUN
ejpam-4764	315	49	,	,	PUNCT
ejpam-4764	315	50	α	α	NOUN
ejpam-4764	315	51	)	)	PUNCT
ejpam-4764	315	52	aeu	aeu	ADV
ejpam-4764	315	53	0.25	0.25	NUM
ejpam-4764	315	54	0.1	0.1	NUM
ejpam-4764	315	55	−0.2246251	−0.2246251	ADP
ejpam-4764	315	56	−0.2272738	−0.2272738	NOUN
ejpam-4764	315	57	2.648e	2.648e	NOUN
ejpam-4764	316	1	−	−	NOUN
ejpam-4764	316	2	03	03	NUM
ejpam-4764	317	1	0.3	0.3	NUM
ejpam-4764	317	2	−0.5171603	−0.5171603	PROPN
ejpam-4764	317	3	−0.5226018	−0.5226018	NUM
ejpam-4764	317	4	5.441e	5.441e	NUM
ejpam-4764	317	5	−	−	NOUN
ejpam-4764	317	6	03	03	NUM
ejpam-4764	317	7	0.5	0.5	NUM
ejpam-4764	317	8	−0.5992819	−0.5992819	PROPN
ejpam-4764	317	9	−0.6039739	−0.6039739	X
ejpam-4764	317	10	4.691e	4.691e	NOUN
ejpam-4764	317	11	−	−	NOUN
ejpam-4764	317	12	03	03	NUM
ejpam-4764	317	13	0.7	0.7	NUM
ejpam-4764	317	14	−0.4831632	−0.4831632	NUM
ejpam-4764	317	15	−0.4850771	−0.4850771	NOUN
ejpam-4764	318	1	1.913e	1.913e	NUM
ejpam-4764	318	2	−	−	NOUN
ejpam-4764	318	3	03	03	NUM
ejpam-4764	319	1	0.9	0.9	NUM
ejpam-4764	320	1	−.01958317	−.01958317	PROPN
ejpam-4764	320	2	−0.1952747	−0.1952747	NOUN
ejpam-4764	320	3	5.569e	5.569e	NUM
ejpam-4764	320	4	−	−	PROPN
ejpam-4764	320	5	04	04	NUM
ejpam-4764	320	6	0.50	0.50	NUM
ejpam-4764	320	7	0.1	0.1	NUM
ejpam-4764	320	8	−0.1797001	−0.1797001	NOUN
ejpam-4764	320	9	−0.1816565	−0.1816565	NUM
ejpam-4764	320	10	1.956e	1.956e	NOUN
ejpam-4764	320	11	−	−	PROPN
ejpam-4764	320	12	03	03	NUM
ejpam-4764	320	13	0.3	0.3	NUM
ejpam-4764	320	14	−0.4137282	−0.4137282	PROPN
ejpam-4764	320	15	−0.4176773	−0.4176773	PROPN
ejpam-4764	320	16	3.949e	3.949e	NOUN
ejpam-4764	320	17	−	−	NOUN
ejpam-4764	320	18	03	03	NUM
ejpam-4764	321	1	0.5	0.5	NUM
ejpam-4764	321	2	−0.4794255	−0.4794255	NUM
ejpam-4764	321	3	−0.4825976	−0.4825976	NOUN
ejpam-4764	321	4	3.172e	3.172e	NUM
ejpam-4764	321	5	−	−	NOUN
ejpam-4764	321	6	03	03	NUM
ejpam-4764	321	7	0.7	0.7	NUM
ejpam-4764	321	8	−0.3865306	−0.3865306	NOUN
ejpam-4764	321	9	−0.3873276	−0.3873276	X
ejpam-4764	322	1	7.970e	7.970e	NOUN
ejpam-4764	322	2	−	−	NOUN
ejpam-4764	322	3	04	04	NUM
ejpam-4764	323	1	0.9	0.9	NUM
ejpam-4764	324	1	−0.1566653	−0.1566653	PROPN
ejpam-4764	324	2	−0.1556608	−0.1556608	NOUN
ejpam-4764	324	3	1.004e	1.004e	NUM
ejpam-4764	324	4	−	−	PROPN
ejpam-4764	324	5	03	03	NUM
ejpam-4764	324	6	0.75	0.75	NUM
ejpam-4764	324	7	0.1	0.1	NUM
ejpam-4764	324	8	−0.1347751	−0.1347751	NOUN
ejpam-4764	324	9	−0.1361216	−0.1361216	NUM
ejpam-4764	325	1	1.346e	1.346e	NOUN
ejpam-4764	325	2	−	−	NOUN
ejpam-4764	325	3	03	03	NUM
ejpam-4764	325	4	0.3	0.3	NUM
ejpam-4764	325	5	−0.3102962	−0.3102962	X
ejpam-4764	325	6	−0.3129718	−0.3129718	DET
ejpam-4764	325	7	2.675e	2.675e	PROPN
ejpam-4764	326	1	−	−	PROPN
ejpam-4764	326	2	03	03	NUM
ejpam-4764	326	3	0.5	0.5	NUM
ejpam-4764	326	4	−0.3595691	−0.3595691	X
ejpam-4764	326	5	−0.3615538	−0.3615538	X
ejpam-4764	326	6	1.984e	1.984e	NUM
ejpam-4764	326	7	−	−	NOUN
ejpam-4764	326	8	03	03	NUM
ejpam-4764	326	9	0.7	0.7	NUM
ejpam-4764	326	10	−0.2898979	−0.2898979	ADJ
ejpam-4764	326	11	−0.2900114	−0.2900114	NOUN
ejpam-4764	326	12	1.134e	1.134e	NUM
ejpam-4764	326	13	−	−	NOUN
ejpam-4764	326	14	04	04	NUM
ejpam-4764	326	15	0.9	0.9	NUM
ejpam-4764	326	16	−0.1174990	−0.1174990	NUM
ejpam-4764	326	17	−0.1163858	−0.1163858	NOUN
ejpam-4764	326	18	1.113e	1.113e	NUM
ejpam-4764	326	19	−	−	NOUN
ejpam-4764	326	20	03	03	NUM
ejpam-4764	326	21	1.00	1.00	NUM
ejpam-4764	326	22	0.1	0.1	NUM
ejpam-4764	326	23	−0.0898500	−0.0898500	NUM
ejpam-4764	326	24	−0.0906715	−0.0906715	X
ejpam-4764	326	25	8.214e	8.214e	NOUN
ejpam-4764	326	26	−	−	PROPN
ejpam-4764	326	27	04	04	NUM
ejpam-4764	326	28	0.3	0.3	NUM
ejpam-4764	326	29	−0.2068641	−0.2068641	X
ejpam-4764	326	30	−0.2085212	−0.2085212	PROPN
ejpam-4764	326	31	1.657e	1.657e	NUM
ejpam-4764	326	32	−	−	NOUN
ejpam-4764	326	33	03	03	NUM
ejpam-4764	326	34	0.5	0.5	NUM
ejpam-4764	326	35	−0.2397127	−0.2397127	X
ejpam-4764	326	36	−0.2409320	−0.2409320	X
ejpam-4764	326	37	1.219e	1.219e	PROPN
ejpam-4764	326	38	−	−	PROPN
ejpam-4764	326	39	03	03	NUM
ejpam-4764	326	40	0.7	0.7	NUM
ejpam-4764	326	41	−0.1932653	−0.1932653	X
ejpam-4764	326	42	−0.1932705	−0.1932705	NUM
ejpam-4764	326	43	5.257e	5.257e	NUM
ejpam-4764	326	44	−	−	NUM
ejpam-4764	326	45	06	06	NUM
ejpam-4764	326	46	0.9	0.9	NUM
ejpam-4764	326	47	−0.0783326	−0.0783326	NOUN
ejpam-4764	326	48	−0.0775769	−0.0775769	NOUN
ejpam-4764	326	49	7.557e	7.557e	NUM
ejpam-4764	326	50	−	−	NUM
ejpam-4764	326	51	04	04	NUM
ejpam-4764	326	52	table	table	NOUN
ejpam-4764	326	53	8	8	NUM
ejpam-4764	326	54	:	:	PUNCT
ejpam-4764	326	55	comparison	comparison	NOUN
ejpam-4764	326	56	of	of	ADP
ejpam-4764	326	57	the	the	DET
ejpam-4764	326	58	numerical	numerical	ADJ
ejpam-4764	326	59	results	result	NOUN
ejpam-4764	326	60	for	for	ADP
ejpam-4764	326	61	y	y	PROPN
ejpam-4764	326	62	2	2	NUM
ejpam-4764	326	63	(	(	PUNCT
ejpam-4764	326	64	x	x	NOUN
ejpam-4764	326	65	,	,	PUNCT
ejpam-4764	326	66	α	α	NOUN
ejpam-4764	326	67	)	)	PUNCT
ejpam-4764	326	68	(	(	PUNCT
ejpam-4764	326	69	problem	problem	NOUN
ejpam-4764	326	70	2	2	NUM
ejpam-4764	326	71	)	)	PUNCT
ejpam-4764	326	72	α	α	NOUN
ejpam-4764	326	73	x	x	VERB
ejpam-4764	326	74	y	y	PROPN
ejpam-4764	326	75	2,e	2,e	PROPN
ejpam-4764	326	76	(	(	PUNCT
ejpam-4764	326	77	x	x	NOUN
ejpam-4764	326	78	,	,	PUNCT
ejpam-4764	326	79	α	α	X
ejpam-4764	326	80	)	)	PUNCT
ejpam-4764	326	81	y	y	PROPN
ejpam-4764	326	82	2,2	2,2	NUM
ejpam-4764	326	83	(	(	PUNCT
ejpam-4764	326	84	x	x	NOUN
ejpam-4764	326	85	,	,	PUNCT
ejpam-4764	326	86	α	α	NOUN
ejpam-4764	326	87	)	)	PUNCT
ejpam-4764	326	88	ael	ael	PROPN
ejpam-4764	326	89	0.25	0.25	NUM
ejpam-4764	326	90	0.1	0.1	NUM
ejpam-4764	326	91	0.0457031	0.0457031	NUM
ejpam-4764	326	92	0.0457084	0.0457084	NUM
ejpam-4764	327	1	5.327e	5.327e	ADJ
ejpam-4764	327	2	−	−	PROPN
ejpam-4764	327	3	06	06	NUM
ejpam-4764	328	1	0.3	0.3	NUM
ejpam-4764	328	2	0.1066406	0.1066406	NUM
ejpam-4764	328	3	0.1068146	0.1068146	NUM
ejpam-4764	328	4	1.740e	1.740e	NUM
ejpam-4764	328	5	−	−	NUM
ejpam-4764	328	6	04	04	NUM
ejpam-4764	328	7	0.5	0.5	NUM
ejpam-4764	328	8	0.1269531	0.1269531	NUM
ejpam-4764	328	9	0.1274189	0.1274189	NUM
ejpam-4764	328	10	4.657e	4.657e	NUM
ejpam-4764	328	11	−	−	NUM
ejpam-4764	328	12	04	04	NUM
ejpam-4764	328	13	0.7	0.7	NUM
ejpam-4764	328	14	0.1066406	0.1066406	NUM
ejpam-4764	328	15	0.1074269	0.1074269	NUM
ejpam-4764	328	16	7.862e	7.862e	NUM
ejpam-4764	328	17	−	−	PROPN
ejpam-4764	328	18	04	04	NUM
ejpam-4764	328	19	0.9	0.9	NUM
ejpam-4764	328	20	0.0457031	0.0457031	NUM
ejpam-4764	328	21	0.0464363	0.0464363	NUM
ejpam-4764	328	22	7.332e	7.332e	NOUN
ejpam-4764	328	23	−	−	NOUN
ejpam-4764	328	24	04	04	NUM
ejpam-4764	328	25	0.50	0.50	NUM
ejpam-4764	328	26	0.1	0.1	NUM
ejpam-4764	328	27	0.0506250	0.0506250	NUM
ejpam-4764	328	28	0.0506059	0.0506059	NUM
ejpam-4764	328	29	1.900e	1.900e	NUM
ejpam-4764	328	30	−	−	NOUN
ejpam-4764	328	31	05	05	NUM
ejpam-4764	328	32	0.3	0.3	NUM
ejpam-4764	328	33	0.1181250	0.1181250	NUM
ejpam-4764	328	34	0.1182502	0.1182502	NUM
ejpam-4764	328	35	1.252e	1.252e	NUM
ejpam-4764	328	36	−	−	NUM
ejpam-4764	328	37	04	04	NUM
ejpam-4764	328	38	0.5	0.5	NUM
ejpam-4764	328	39	0.1406250	0.1406250	NUM
ejpam-4764	328	40	0.1410804	0.1410804	NUM
ejpam-4764	328	41	4.554e	4.554e	NUM
ejpam-4764	328	42	−	−	NOUN
ejpam-4764	328	43	04	04	NUM
ejpam-4764	329	1	0.7	0.7	NUM
ejpam-4764	329	2	0.1181250	0.1181250	NUM
ejpam-4764	329	3	0.1190405	0.1190405	NUM
ejpam-4764	329	4	9.155e	9.155e	NOUN
ejpam-4764	329	5	−	−	NUM
ejpam-4764	329	6	04	04	NUM
ejpam-4764	329	7	0.9	0.9	NUM
ejpam-4764	329	8	0.0506250	0.0506250	NUM
ejpam-4764	329	9	0.0515624	0.0515624	NUM
ejpam-4764	329	10	9.374e	9.374e	NUM
ejpam-4764	329	11	−	−	NUM
ejpam-4764	329	12	04	04	NUM
ejpam-4764	330	1	0.75	0.75	NUM
ejpam-4764	330	2	0.1	0.1	NUM
ejpam-4764	330	3	0.0639843	0.0639843	NUM
ejpam-4764	330	4	0.0639516	0.0639516	NUM
ejpam-4764	330	5	3.277e	3.277e	NUM
ejpam-4764	330	6	−	−	NOUN
ejpam-4764	330	7	05	05	NUM
ejpam-4764	330	8	0.3	0.3	NUM
ejpam-4764	330	9	0.1492968	0.1492968	NUM
ejpam-4764	330	10	0.1494366	0.1494366	NUM
ejpam-4764	330	11	1.397e	1.397e	NUM
ejpam-4764	330	12	−	−	NOUN
ejpam-4764	330	13	04	04	NUM
ejpam-4764	330	14	0.5	0.5	NUM
ejpam-4764	330	15	0.1777343	0.1777343	NUM
ejpam-4764	330	16	0.1783339	0.1783339	NUM
ejpam-4764	330	17	5.995e	5.995e	NUM
ejpam-4764	330	18	−	−	NOUN
ejpam-4764	330	19	04	04	NUM
ejpam-4764	330	20	0.7	0.7	NUM
ejpam-4764	330	21	0.1492968	0.1492968	NUM
ejpam-4764	330	22	0.1506143	0.1506143	NUM
ejpam-4764	330	23	1.317e	1.317e	NUM
ejpam-4764	330	24	−	−	PROPN
ejpam-4764	330	25	03	03	NUM
ejpam-4764	330	26	0.9	0.9	NUM
ejpam-4764	330	27	0.0639843	0.0639843	NUM
ejpam-4764	330	28	0.0653802	0.0653802	NUM
ejpam-4764	330	29	1.395e	1.395e	NUM
ejpam-4764	330	30	−	−	NOUN
ejpam-4764	330	31	03	03	NUM
ejpam-4764	330	32	1.00	1.00	NUM
ejpam-4764	330	33	0.1	0.1	NUM
ejpam-4764	330	34	0.0900000	0.0900000	NUM
ejpam-4764	330	35	0.0900165	0.0900165	NUM
ejpam-4764	330	36	1654e	1654e	NUM
ejpam-4764	330	37	−	−	PROPN
ejpam-4764	330	38	05	05	NUM
ejpam-4764	330	39	0.3	0.3	NUM
ejpam-4764	330	40	0.2100000	0.2100000	NUM
ejpam-4764	330	41	0.2103843	0.2103843	NUM
ejpam-4764	330	42	3843e	3843e	NOUN
ejpam-4764	330	43	−	−	NOUN
ejpam-4764	330	44	04	04	NUM
ejpam-4764	330	45	0.5	0.5	NUM
ejpam-4764	330	46	0.2500000	0.2500000	NUM
ejpam-4764	330	47	0.2511554	0.2511554	NUM
ejpam-4764	330	48	1155e	1155e	NUM
ejpam-4764	330	49	−	−	PROPN
ejpam-4764	330	50	03	03	NUM
ejpam-4764	330	51	0.7	0.7	NUM
ejpam-4764	330	52	0.2100000	0.2100000	NUM
ejpam-4764	330	53	0.2122592	0.2122592	NUM
ejpam-4764	330	54	2259e	2259e	NOUN
ejpam-4764	331	1	−	−	NOUN
ejpam-4764	331	2	03	03	NUM
ejpam-4764	331	3	0.9	0.9	NUM
ejpam-4764	331	4	0.0900000	0.0900000	NUM
ejpam-4764	331	5	0.0922510	0.0922510	NUM
ejpam-4764	331	6	2251e	2251e	NOUN
ejpam-4764	332	1	−	−	PROPN
ejpam-4764	332	2	03	03	NUM
ejpam-4764	332	3	w.	w.	PROPN
ejpam-4764	332	4	al	al	PROPN
ejpam-4764	332	5	-	-	PUNCT
ejpam-4764	332	6	hayani	hayani	PROPN
ejpam-4764	332	7	,	,	PUNCT
ejpam-4764	332	8	m	m	VERB
ejpam-4764	332	9	t.	t.	NOUN
ejpam-4764	332	10	younis	younis	PROPN
ejpam-4764	332	11	/	/	SYM
ejpam-4764	332	12	eur	eur	PROPN
ejpam-4764	332	13	.	.	PUNCT
ejpam-4764	333	1	j.	j.	PROPN
ejpam-4764	333	2	pure	pure	PROPN
ejpam-4764	333	3	appl	appl	PROPN
ejpam-4764	333	4	.	.	PROPN
ejpam-4764	333	5	math	math	PROPN
ejpam-4764	333	6	,	,	PUNCT
ejpam-4764	333	7	16	16	NUM
ejpam-4764	333	8	(	(	PUNCT
ejpam-4764	333	9	2	2	NUM
ejpam-4764	333	10	)	)	PUNCT
ejpam-4764	333	11	(	(	PUNCT
ejpam-4764	333	12	2023	2023	NUM
ejpam-4764	333	13	)	)	PUNCT
ejpam-4764	333	14	,	,	PUNCT
ejpam-4764	333	15	1236	1236	NUM
ejpam-4764	333	16	-	-	SYM
ejpam-4764	333	17	1259	1259	NUM
ejpam-4764	333	18	1255	1255	NUM
ejpam-4764	333	19	table	table	NOUN
ejpam-4764	333	20	9	9	NUM
ejpam-4764	333	21	:	:	PUNCT
ejpam-4764	333	22	comparison	comparison	NOUN
ejpam-4764	333	23	of	of	ADP
ejpam-4764	333	24	the	the	DET
ejpam-4764	333	25	numerical	numerical	ADJ
ejpam-4764	333	26	results	result	NOUN
ejpam-4764	333	27	for	for	ADP
ejpam-4764	333	28	y2	y2	PROPN
ejpam-4764	333	29	(	(	PUNCT
ejpam-4764	333	30	x	x	NOUN
ejpam-4764	333	31	,	,	PUNCT
ejpam-4764	333	32	α	α	NOUN
ejpam-4764	333	33	)	)	PUNCT
ejpam-4764	333	34	(	(	PUNCT
ejpam-4764	333	35	problem	problem	NOUN
ejpam-4764	333	36	2	2	NUM
ejpam-4764	333	37	)	)	PUNCT
ejpam-4764	333	38	α	α	NOUN
ejpam-4764	333	39	x	x	X
ejpam-4764	333	40	y2,e	y2,e	PROPN
ejpam-4764	333	41	(	(	PUNCT
ejpam-4764	333	42	x	x	NOUN
ejpam-4764	333	43	,	,	PUNCT
ejpam-4764	333	44	α	α	X
ejpam-4764	333	45	)	)	PUNCT
ejpam-4764	333	46	y2,2	y2,2	PROPN
ejpam-4764	333	47	(	(	PUNCT
ejpam-4764	333	48	x	x	PROPN
ejpam-4764	333	49	,	,	PUNCT
ejpam-4764	333	50	α	α	NOUN
ejpam-4764	333	51	)	)	PUNCT
ejpam-4764	333	52	aeu	aeu	ADV
ejpam-4764	333	53	0.25	0.25	NUM
ejpam-4764	333	54	0.1	0.1	NUM
ejpam-4764	333	55	0.1785937	0.1785937	NUM
ejpam-4764	333	56	0.1793249	0.1793249	NUM
ejpam-4764	333	57	7.311e	7.311e	NOUN
ejpam-4764	333	58	−	−	PROPN
ejpam-4764	333	59	04	04	NUM
ejpam-4764	333	60	0.3	0.3	NUM
ejpam-4764	333	61	0.4167187	0.4167187	NUM
ejpam-4764	333	62	0.4195254	0.4195254	NUM
ejpam-4764	333	63	2.806e	2.806e	NUM
ejpam-4764	333	64	−	−	NOUN
ejpam-4764	333	65	03	03	NUM
ejpam-4764	333	66	0.5	0.5	NUM
ejpam-4764	333	67	0.4960937	0.4960937	NUM
ejpam-4764	333	68	0.5014287	0.5014287	NUM
ejpam-4764	333	69	5.335e	5.335e	NUM
ejpam-4764	333	70	−	−	NOUN
ejpam-4764	333	71	03	03	NUM
ejpam-4764	333	72	0.7	0.7	NUM
ejpam-4764	333	73	0.4167187	0.4167187	NUM
ejpam-4764	333	74	0.4243124	0.4243124	NUM
ejpam-4764	333	75	7.593e	7.593e	NOUN
ejpam-4764	333	76	−	−	NOUN
ejpam-4764	333	77	03	03	NUM
ejpam-4764	333	78	0.9	0.9	NUM
ejpam-4764	333	79	0.1785937	0.1785937	NUM
ejpam-4764	333	80	0.1846205	0.1846205	NUM
ejpam-4764	333	81	6.026e	6.026e	NUM
ejpam-4764	333	82	−	−	NOUN
ejpam-4764	333	83	03	03	NUM
ejpam-4764	333	84	0.50	0.50	NUM
ejpam-4764	333	85	0.1	0.1	NUM
ejpam-4764	333	86	0.16875	0.16875	NUM
ejpam-4764	334	1	0.1692397	0.1692397	NUM
ejpam-4764	334	2	4.897e	4.897e	NUM
ejpam-4764	334	3	−	−	NOUN
ejpam-4764	334	4	04	04	NUM
ejpam-4764	334	5	0.3	0.3	NUM
ejpam-4764	334	6	0.39375	0.39375	NUM
ejpam-4764	334	7	0.3958039	0.3958039	NUM
ejpam-4764	334	8	2.053e	2.053e	NUM
ejpam-4764	334	9	−	−	NOUN
ejpam-4764	334	10	03	03	NUM
ejpam-4764	334	11	0.5	0.5	NUM
ejpam-4764	334	12	0.46875	0.46875	NUM
ejpam-4764	334	13	0.4728440	0.4728440	NUM
ejpam-4764	334	14	4.094e	4.094e	NUM
ejpam-4764	335	1	−	−	NOUN
ejpam-4764	335	2	03	03	NUM
ejpam-4764	335	3	0.7	0.7	NUM
ejpam-4764	335	4	0.39375	0.39375	NUM
ejpam-4764	335	5	0.3998311	0.3998311	NUM
ejpam-4764	335	6	6.081e	6.081e	NUM
ejpam-4764	335	7	−	−	NOUN
ejpam-4764	335	8	03	03	NUM
ejpam-4764	335	9	0.9	0.9	NUM
ejpam-4764	335	10	0.16875	0.16875	NUM
ejpam-4764	335	11	0.1737862	0.1737862	NUM
ejpam-4764	335	12	5.036e	5.036e	ADJ
ejpam-4764	335	13	−	−	NOUN
ejpam-4764	335	14	03	03	NUM
ejpam-4764	335	15	0.75	0.75	NUM
ejpam-4764	335	16	0.1	0.1	NUM
ejpam-4764	335	17	0.1420312	0.1420312	NUM
ejpam-4764	335	18	0.1422721	0.1422721	NUM
ejpam-4764	335	19	2.408e	2.408e	NUM
ejpam-4764	335	20	−	−	NOUN
ejpam-4764	335	21	04	04	NUM
ejpam-4764	335	22	0.3	0.3	NUM
ejpam-4764	335	23	0.3314062	0.3314062	NUM
ejpam-4764	335	24	0.3326319	0.3326319	NUM
ejpam-4764	335	25	1.225e	1.225e	NUM
ejpam-4764	335	26	−	−	NOUN
ejpam-4764	335	27	03	03	NUM
ejpam-4764	335	28	0.5	0.5	NUM
ejpam-4764	335	29	0.3945312	0.3945312	NUM
ejpam-4764	335	30	0.3972166	0.3972166	NUM
ejpam-4764	335	31	2.685e	2.685e	NUM
ejpam-4764	335	32	−	−	NOUN
ejpam-4764	335	33	03	03	NUM
ejpam-4764	335	34	0.7	0.7	NUM
ejpam-4764	335	35	0.3314062	0.3314062	NUM
ejpam-4764	335	36	0.3357163	0.3357163	NUM
ejpam-4764	335	37	4.310e	4.310e	ADJ
ejpam-4764	335	38	−	−	NOUN
ejpam-4764	335	39	03	03	NUM
ejpam-4764	335	40	0.9	0.9	NUM
ejpam-4764	335	41	0.1420312	0.1420312	NUM
ejpam-4764	335	42	0.1458354	0.1458354	NUM
ejpam-4764	335	43	3.804e	3.804e	NUM
ejpam-4764	335	44	−	−	NOUN
ejpam-4764	335	45	03	03	NUM
ejpam-4764	335	46	1.00	1.00	NUM
ejpam-4764	335	47	0.1	0.1	NUM
ejpam-4764	335	48	0.0900000	0.0900000	NUM
ejpam-4764	335	49	0.0900165	0.0900165	NUM
ejpam-4764	335	50	1654e	1654e	NUM
ejpam-4764	335	51	−	−	PROPN
ejpam-4764	335	52	05	05	NUM
ejpam-4764	335	53	0.3	0.3	NUM
ejpam-4764	335	54	0.2100000	0.2100000	NUM
ejpam-4764	335	55	0.2103843	0.2103843	NUM
ejpam-4764	335	56	3843e	3843e	NOUN
ejpam-4764	335	57	−	−	NOUN
ejpam-4764	335	58	04	04	NUM
ejpam-4764	335	59	0.5	0.5	NUM
ejpam-4764	335	60	0.2500000	0.2500000	NUM
ejpam-4764	335	61	0.2511554	0.2511554	NUM
ejpam-4764	335	62	1155e	1155e	NUM
ejpam-4764	335	63	−	−	PROPN
ejpam-4764	335	64	03	03	NUM
ejpam-4764	335	65	0.7	0.7	NUM
ejpam-4764	335	66	0.2100000	0.2100000	NUM
ejpam-4764	335	67	0.2122592	0.2122592	NUM
ejpam-4764	335	68	2259e	2259e	NOUN
ejpam-4764	335	69	−	−	NOUN
ejpam-4764	335	70	03	03	NUM
ejpam-4764	335	71	0.9	0.9	NUM
ejpam-4764	335	72	0.0900000	0.0900000	NUM
ejpam-4764	335	73	0.0922510	0.0922510	NUM
ejpam-4764	335	74	2251e	2251e	NOUN
ejpam-4764	335	75	−	−	ADP
ejpam-4764	335	76	03	03	NUM
ejpam-4764	335	77	table	table	NOUN
ejpam-4764	335	78	10	10	NUM
ejpam-4764	335	79	:	:	PUNCT
ejpam-4764	335	80	maximum	maximum	ADJ
ejpam-4764	335	81	errors	error	NOUN
ejpam-4764	335	82	(	(	PUNCT
ejpam-4764	335	83	problem	problem	NOUN
ejpam-4764	335	84	2	2	NUM
ejpam-4764	335	85	)	)	PUNCT
ejpam-4764	335	86	ỹ1	ỹ1	NOUN
ejpam-4764	335	87	(	(	PUNCT
ejpam-4764	335	88	x	x	NOUN
ejpam-4764	335	89	,	,	PUNCT
ejpam-4764	335	90	α	α	NOUN
ejpam-4764	335	91	)	)	PUNCT
ejpam-4764	335	92	ỹ2	ỹ2	PROPN
ejpam-4764	335	93	(	(	PUNCT
ejpam-4764	335	94	x	x	NOUN
ejpam-4764	335	95	,	,	PUNCT
ejpam-4764	335	96	α	α	NOUN
ejpam-4764	335	97	)	)	PUNCT
ejpam-4764	335	98	α	α	PROPN
ejpam-4764	335	99	n	n	VERB
ejpam-4764	335	100	y	y	PROPN
ejpam-4764	335	101	1	1	NUM
ejpam-4764	335	102	(	(	PUNCT
ejpam-4764	335	103	x	x	NOUN
ejpam-4764	335	104	,	,	PUNCT
ejpam-4764	335	105	α	α	NOUN
ejpam-4764	335	106	)	)	PUNCT
ejpam-4764	335	107	y1	y1	NOUN
ejpam-4764	335	108	(	(	PUNCT
ejpam-4764	335	109	x	x	NOUN
ejpam-4764	335	110	,	,	PUNCT
ejpam-4764	335	111	α	α	NOUN
ejpam-4764	335	112	)	)	PUNCT
ejpam-4764	335	113	y	y	PROPN
ejpam-4764	335	114	2	2	NUM
ejpam-4764	335	115	(	(	PUNCT
ejpam-4764	335	116	x	x	NOUN
ejpam-4764	335	117	,	,	PUNCT
ejpam-4764	335	118	α	α	NOUN
ejpam-4764	335	119	)	)	PUNCT
ejpam-4764	335	120	y2	y2	NOUN
ejpam-4764	335	121	(	(	PUNCT
ejpam-4764	335	122	x	x	NOUN
ejpam-4764	335	123	,	,	PUNCT
ejpam-4764	335	124	α	α	NOUN
ejpam-4764	335	125	)	)	PUNCT
ejpam-4764	335	126	0.25	0.25	NUM
ejpam-4764	335	127	2	2	NUM
ejpam-4764	335	128	7.879e	7.879e	NUM
ejpam-4764	335	129	−	−	NOUN
ejpam-4764	335	130	04	04	NUM
ejpam-4764	335	131	5.445e	5.445e	NUM
ejpam-4764	335	132	−	−	NOUN
ejpam-4764	335	133	03	03	NUM
ejpam-4764	335	134	8.800e	8.800e	NUM
ejpam-4764	335	135	−	−	NOUN
ejpam-4764	335	136	04	04	NUM
ejpam-4764	335	137	7.809e	7.809e	NOUN
ejpam-4764	335	138	−	−	NOUN
ejpam-4764	335	139	03	03	NUM
ejpam-4764	335	140	0.50	0.50	NUM
ejpam-4764	335	141	2	2	NUM
ejpam-4764	335	142	7.074e	7.074e	NUM
ejpam-4764	335	143	−	−	PROPN
ejpam-4764	335	144	04	04	NUM
ejpam-4764	335	145	3.949e	3.949e	NUM
ejpam-4764	335	146	−	−	NOUN
ejpam-4764	335	147	03	03	NUM
ejpam-4764	335	148	1.084e	1.084e	NUM
ejpam-4764	335	149	−	−	NOUN
ejpam-4764	335	150	03	03	NUM
ejpam-4764	335	151	6.395e	6.395e	NUM
ejpam-4764	335	152	−	−	NOUN
ejpam-4764	335	153	03	03	NUM
ejpam-4764	335	154	0.75	0.75	NUM
ejpam-4764	335	155	2	2	NUM
ejpam-4764	335	156	8.027e	8.027e	ADJ
ejpam-4764	335	157	−	−	NUM
ejpam-4764	335	158	04	04	NUM
ejpam-4764	335	159	2.675e	2.675e	NUM
ejpam-4764	335	160	−	−	NOUN
ejpam-4764	335	161	03	03	NUM
ejpam-4764	335	162	1.595e	1.595e	NUM
ejpam-4764	335	163	−	−	PROPN
ejpam-4764	335	164	03	03	NUM
ejpam-4764	335	165	4.694e	4.694e	NOUN
ejpam-4764	335	166	−	−	PROPN
ejpam-4764	335	167	03	03	NUM
ejpam-4764	335	168	1.00	1.00	NUM
ejpam-4764	335	169	2	2	NUM
ejpam-4764	335	170	1.657e	1.657e	NUM
ejpam-4764	335	171	−	−	PROPN
ejpam-4764	335	172	03	03	NUM
ejpam-4764	335	173	1.657e	1.657e	NUM
ejpam-4764	335	174	−	−	PROPN
ejpam-4764	335	175	03	03	NUM
ejpam-4764	335	176	2.639e	2.639e	NUM
ejpam-4764	335	177	−	−	NOUN
ejpam-4764	335	178	03	03	NUM
ejpam-4764	335	179	2.639e	2.639e	NUM
ejpam-4764	335	180	−	−	NOUN
ejpam-4764	335	181	03	03	NUM
ejpam-4764	335	182	in	in	ADP
ejpam-4764	335	183	figures	figure	NOUN
ejpam-4764	335	184	9–12	9–12	PROPN
ejpam-4764	335	185	,	,	PUNCT
ejpam-4764	335	186	a	a	DET
ejpam-4764	335	187	very	very	ADV
ejpam-4764	335	188	good	good	ADJ
ejpam-4764	335	189	agreement	agreement	NOUN
ejpam-4764	335	190	is	be	AUX
ejpam-4764	335	191	shown	show	VERB
ejpam-4764	335	192	between	between	ADP
ejpam-4764	335	193	the	the	DET
ejpam-4764	335	194	exact	exact	ADJ
ejpam-4764	335	195	solution	solution	NOUN
ejpam-4764	335	196	(	(	PUNCT
ejpam-4764	335	197	ỹi	ỹi	X
ejpam-4764	335	198	,	,	PUNCT
ejpam-4764	335	199	e(x	e(x	NUM
ejpam-4764	335	200	,	,	PUNCT
ejpam-4764	335	201	0.5	0.5	NUM
ejpam-4764	335	202	)	)	PUNCT
ejpam-4764	335	203	,	,	PUNCT
ejpam-4764	335	204	i	i	PRON
ejpam-4764	335	205	=	=	NOUN
ejpam-4764	335	206	1	1	NUM
ejpam-4764	335	207	,	,	PUNCT
ejpam-4764	335	208	2	2	NUM
ejpam-4764	335	209	)	)	PUNCT
ejpam-4764	335	210	with	with	ADP
ejpam-4764	335	211	a	a	DET
ejpam-4764	335	212	continuous	continuous	ADJ
ejpam-4764	335	213	line	line	NOUN
ejpam-4764	335	214	and	and	CCONJ
ejpam-4764	335	215	the	the	DET
ejpam-4764	335	216	approximate	approximate	ADJ
ejpam-4764	335	217	solution	solution	NOUN
ejpam-4764	335	218	by	by	ADP
ejpam-4764	335	219	the	the	DET
ejpam-4764	335	220	hpm	hpm	NOUN
ejpam-4764	335	221	with	with	ADP
ejpam-4764	335	222	green	green	PROPN
ejpam-4764	335	223	’s	’s	PART
ejpam-4764	335	224	function	function	NOUN
ejpam-4764	335	225	(	(	PUNCT
ejpam-4764	335	226	ỹi,2(x	ỹi,2(x	PROPN
ejpam-4764	335	227	,	,	PUNCT
ejpam-4764	335	228	0.5	0.5	NUM
ejpam-4764	335	229	)	)	PUNCT
ejpam-4764	335	230	,	,	PUNCT
ejpam-4764	335	231	i	i	PRON
ejpam-4764	335	232	=	=	NOUN
ejpam-4764	335	233	1	1	NUM
ejpam-4764	335	234	,	,	PUNCT
ejpam-4764	335	235	2	2	NUM
ejpam-4764	335	236	)	)	PUNCT
ejpam-4764	335	237	with	with	ADP
ejpam-4764	335	238	the	the	DET
ejpam-4764	335	239	symbol	symbol	NOUN
ejpam-4764	335	240	o.	o.	PROPN
ejpam-4764	335	241	w.	w.	PROPN
ejpam-4764	335	242	al	al	PROPN
ejpam-4764	335	243	-	-	PUNCT
ejpam-4764	335	244	hayani	hayani	PROPN
ejpam-4764	335	245	,	,	PUNCT
ejpam-4764	335	246	m	m	VERB
ejpam-4764	335	247	t.	t.	NOUN
ejpam-4764	335	248	younis	younis	PROPN
ejpam-4764	335	249	/	/	SYM
ejpam-4764	335	250	eur	eur	PROPN
ejpam-4764	335	251	.	.	PUNCT
ejpam-4764	336	1	j.	j.	PROPN
ejpam-4764	336	2	pure	pure	PROPN
ejpam-4764	336	3	appl	appl	PROPN
ejpam-4764	336	4	.	.	PROPN
ejpam-4764	336	5	math	math	PROPN
ejpam-4764	336	6	,	,	PUNCT
ejpam-4764	336	7	16	16	NUM
ejpam-4764	336	8	(	(	PUNCT
ejpam-4764	336	9	2	2	NUM
ejpam-4764	336	10	)	)	PUNCT
ejpam-4764	336	11	(	(	PUNCT
ejpam-4764	336	12	2023	2023	NUM
ejpam-4764	336	13	)	)	PUNCT
ejpam-4764	336	14	,	,	PUNCT
ejpam-4764	336	15	1236	1236	NUM
ejpam-4764	336	16	-	-	SYM
ejpam-4764	336	17	1259	1259	NUM
ejpam-4764	336	18	1256	1256	NUM
ejpam-4764	336	19	figure	figure	NOUN
ejpam-4764	336	20	9	9	NUM
ejpam-4764	336	21	:	:	PUNCT
ejpam-4764	336	22	plot	plot	NOUN
ejpam-4764	336	23	of	of	ADP
ejpam-4764	336	24	y	y	PROPN
ejpam-4764	336	25	1,e	1,e	NUM
ejpam-4764	336	26	(	(	PUNCT
ejpam-4764	336	27	x	x	X
ejpam-4764	336	28	,	,	PUNCT
ejpam-4764	336	29	0.5	0.5	NUM
ejpam-4764	336	30	)	)	PUNCT
ejpam-4764	336	31	and	and	CCONJ
ejpam-4764	336	32	y	y	PROPN
ejpam-4764	336	33	1,2	1,2	NUM
ejpam-4764	336	34	(	(	PUNCT
ejpam-4764	336	35	x	x	X
ejpam-4764	336	36	,	,	PUNCT
ejpam-4764	336	37	0.5	0.5	NUM
ejpam-4764	336	38	)	)	PUNCT
ejpam-4764	336	39	.	.	PUNCT
ejpam-4764	337	1	figure	figure	VERB
ejpam-4764	337	2	10	10	NUM
ejpam-4764	337	3	:	:	PUNCT
ejpam-4764	337	4	plot	plot	NOUN
ejpam-4764	337	5	of	of	ADP
ejpam-4764	337	6	plot	plot	NOUN
ejpam-4764	337	7	of	of	ADP
ejpam-4764	337	8	y1,e(x	y1,e(x	PROPN
ejpam-4764	337	9	,	,	PUNCT
ejpam-4764	337	10	0.5	0.5	NUM
ejpam-4764	337	11	)	)	PUNCT
ejpam-4764	337	12	and	and	CCONJ
ejpam-4764	337	13	y1,2(x	y1,2(x	PROPN
ejpam-4764	337	14	,	,	PUNCT
ejpam-4764	337	15	0.5	0.5	NUM
ejpam-4764	337	16	)	)	PUNCT
ejpam-4764	337	17	.	.	PUNCT
ejpam-4764	338	1	figure	figure	VERB
ejpam-4764	338	2	11	11	NUM
ejpam-4764	338	3	:	:	PUNCT
ejpam-4764	338	4	plot	plot	NOUN
ejpam-4764	338	5	of	of	ADP
ejpam-4764	338	6	y	y	PROPN
ejpam-4764	338	7	2,e	2,e	PROPN
ejpam-4764	338	8	(	(	PUNCT
ejpam-4764	338	9	x	x	X
ejpam-4764	338	10	,	,	PUNCT
ejpam-4764	338	11	0.5	0.5	NUM
ejpam-4764	338	12	)	)	PUNCT
ejpam-4764	338	13	and	and	CCONJ
ejpam-4764	338	14	y	y	PROPN
ejpam-4764	338	15	2,2	2,2	NUM
ejpam-4764	338	16	(	(	PUNCT
ejpam-4764	338	17	x	x	NOUN
ejpam-4764	338	18	,	,	PUNCT
ejpam-4764	338	19	0.5	0.5	NUM
ejpam-4764	338	20	)	)	PUNCT
ejpam-4764	338	21	.	.	PUNCT
ejpam-4764	339	1	references	reference	NOUN
ejpam-4764	339	2	1257	1257	NUM
ejpam-4764	339	3	figure	figure	NOUN
ejpam-4764	339	4	12	12	NUM
ejpam-4764	339	5	:	:	PUNCT
ejpam-4764	339	6	plot	plot	NOUN
ejpam-4764	339	7	of	of	ADP
ejpam-4764	339	8	y2,e(x	y2,e(x	PROPN
ejpam-4764	339	9	,	,	PUNCT
ejpam-4764	339	10	0.5	0.5	NUM
ejpam-4764	339	11	)	)	PUNCT
ejpam-4764	339	12	and	and	CCONJ
ejpam-4764	339	13	y2,2(x	y2,2(x	PROPN
ejpam-4764	339	14	,	,	PUNCT
ejpam-4764	339	15	0.5	0.5	NUM
ejpam-4764	339	16	)	)	PUNCT
ejpam-4764	339	17	.	.	PUNCT
ejpam-4764	340	1	6	6	X
ejpam-4764	340	2	.	.	PUNCT
ejpam-4764	340	3	conclusions	conclusion	NOUN
ejpam-4764	340	4	the	the	DET
ejpam-4764	340	5	hpm	hpm	NOUN
ejpam-4764	340	6	with	with	ADP
ejpam-4764	340	7	green	green	PROPN
ejpam-4764	340	8	’s	’s	PART
ejpam-4764	340	9	function	function	NOUN
ejpam-4764	340	10	has	have	AUX
ejpam-4764	340	11	been	be	AUX
ejpam-4764	340	12	used	use	VERB
ejpam-4764	340	13	to	to	PART
ejpam-4764	340	14	solve	solve	VERB
ejpam-4764	340	15	linear	linear	ADJ
ejpam-4764	340	16	and	and	CCONJ
ejpam-4764	340	17	nonlinear	nonlinear	ADJ
ejpam-4764	340	18	fuzzy	fuzzy	ADJ
ejpam-4764	340	19	system	system	NOUN
ejpam-4764	340	20	of	of	ADP
ejpam-4764	340	21	bvps	bvps	NOUN
ejpam-4764	340	22	in	in	ADP
ejpam-4764	340	23	this	this	DET
ejpam-4764	340	24	paper	paper	NOUN
ejpam-4764	340	25	.	.	PUNCT
ejpam-4764	341	1	the	the	DET
ejpam-4764	341	2	hpm	hpm	NOUN
ejpam-4764	341	3	we	we	PRON
ejpam-4764	341	4	proved	prove	VERB
ejpam-4764	341	5	to	to	PART
ejpam-4764	341	6	be	be	AUX
ejpam-4764	341	7	highly	highly	ADV
ejpam-4764	341	8	effective	effective	ADJ
ejpam-4764	341	9	in	in	ADP
ejpam-4764	341	10	addressing	address	VERB
ejpam-4764	341	11	problems	problem	NOUN
ejpam-4764	341	12	we	we	PRON
ejpam-4764	341	13	describe	describe	VERB
ejpam-4764	341	14	an	an	DET
ejpam-4764	341	15	efficient	efficient	ADJ
ejpam-4764	341	16	method	method	NOUN
ejpam-4764	341	17	for	for	ADP
ejpam-4764	341	18	solving	solve	VERB
ejpam-4764	341	19	fuzzy	fuzzy	ADJ
ejpam-4764	341	20	system	system	NOUN
ejpam-4764	341	21	of	of	ADP
ejpam-4764	341	22	boundary	boundary	ADJ
ejpam-4764	341	23	value	value	NOUN
ejpam-4764	341	24	problem	problem	NOUN
ejpam-4764	341	25	.	.	PUNCT
ejpam-4764	342	1	we	we	PRON
ejpam-4764	342	2	employed	employ	VERB
ejpam-4764	342	3	the	the	DET
ejpam-4764	342	4	hpm	hpm	NOUN
ejpam-4764	342	5	technique	technique	NOUN
ejpam-4764	342	6	using	use	VERB
ejpam-4764	342	7	green	green	ADJ
ejpam-4764	342	8	functions	function	NOUN
ejpam-4764	342	9	to	to	PART
ejpam-4764	342	10	simplify	simplify	VERB
ejpam-4764	342	11	the	the	DET
ejpam-4764	342	12	computation	computation	NOUN
ejpam-4764	342	13	of	of	ADP
ejpam-4764	342	14	the	the	DET
ejpam-4764	342	15	problem	problem	NOUN
ejpam-4764	342	16	into	into	ADP
ejpam-4764	342	17	linear	linear	ADJ
ejpam-4764	342	18	and	and	CCONJ
ejpam-4764	342	19	nonlinear	nonlinear	ADJ
ejpam-4764	342	20	fuzzy	fuzzy	ADJ
ejpam-4764	342	21	system	system	NOUN
ejpam-4764	342	22	of	of	ADP
ejpam-4764	342	23	boundary	boundary	ADJ
ejpam-4764	342	24	value	value	NOUN
ejpam-4764	342	25	problem	problem	NOUN
ejpam-4764	342	26	.	.	PUNCT
ejpam-4764	343	1	this	this	DET
ejpam-4764	343	2	method	method	NOUN
ejpam-4764	343	3	is	be	AUX
ejpam-4764	343	4	computationally	computationally	ADV
ejpam-4764	343	5	efficient	efficient	ADJ
ejpam-4764	343	6	,	,	PUNCT
ejpam-4764	343	7	as	as	SCONJ
ejpam-4764	343	8	demonstrated	demonstrate	VERB
ejpam-4764	343	9	by	by	ADP
ejpam-4764	343	10	illustrative	illustrative	NOUN
ejpam-4764	343	11	in	in	ADP
ejpam-4764	343	12	two	two	NUM
ejpam-4764	343	13	problems	problem	NOUN
ejpam-4764	343	14	.	.	PUNCT
ejpam-4764	344	1	moreover	moreover	ADV
ejpam-4764	344	2	,	,	PUNCT
ejpam-4764	344	3	we	we	PRON
ejpam-4764	344	4	tested	test	VERB
ejpam-4764	344	5	our	our	PRON
ejpam-4764	344	6	approach	approach	NOUN
ejpam-4764	344	7	through	through	ADP
ejpam-4764	344	8	numerical	numerical	ADJ
ejpam-4764	344	9	simulations	simulation	NOUN
ejpam-4764	344	10	,	,	PUNCT
ejpam-4764	344	11	and	and	CCONJ
ejpam-4764	344	12	the	the	DET
ejpam-4764	344	13	results	result	NOUN
ejpam-4764	344	14	show	show	VERB
ejpam-4764	344	15	that	that	SCONJ
ejpam-4764	344	16	our	our	PRON
ejpam-4764	344	17	method	method	NOUN
ejpam-4764	344	18	effectively	effectively	ADV
ejpam-4764	344	19	solve	solve	VERB
ejpam-4764	344	20	the	the	DET
ejpam-4764	344	21	problems	problem	NOUN
ejpam-4764	344	22	at	at	ADP
ejpam-4764	344	23	hand	hand	NOUN
ejpam-4764	344	24	.	.	PUNCT
ejpam-4764	345	1	overall	overall	ADV
ejpam-4764	345	2	,	,	PUNCT
ejpam-4764	345	3	our	our	PRON
ejpam-4764	345	4	findings	finding	NOUN
ejpam-4764	345	5	suggest	suggest	VERB
ejpam-4764	345	6	that	that	SCONJ
ejpam-4764	345	7	the	the	DET
ejpam-4764	345	8	hpm	hpm	NOUN
ejpam-4764	345	9	approach	approach	NOUN
ejpam-4764	345	10	with	with	ADP
ejpam-4764	345	11	green	green	ADJ
ejpam-4764	345	12	functions	function	NOUN
ejpam-4764	345	13	can	can	AUX
ejpam-4764	345	14	be	be	AUX
ejpam-4764	345	15	a	a	DET
ejpam-4764	345	16	valuable	valuable	ADJ
ejpam-4764	345	17	tool	tool	NOUN
ejpam-4764	345	18	for	for	ADP
ejpam-4764	345	19	addressing	address	VERB
ejpam-4764	345	20	similar	similar	ADJ
ejpam-4764	345	21	problems	problem	NOUN
ejpam-4764	345	22	in	in	ADP
ejpam-4764	345	23	the	the	DET
ejpam-4764	345	24	future	future	NOUN
ejpam-4764	345	25	.	.	PUNCT
ejpam-4764	346	1	the	the	DET
ejpam-4764	346	2	results	result	NOUN
ejpam-4764	346	3	obtained	obtain	VERB
ejpam-4764	346	4	when	when	SCONJ
ejpam-4764	346	5	(	(	PUNCT
ejpam-4764	346	6	α	α	NOUN
ejpam-4764	346	7	=	=	NOUN
ejpam-4764	346	8	1	1	NUM
ejpam-4764	346	9	)	)	PUNCT
ejpam-4764	346	10	are	be	AUX
ejpam-4764	346	11	compatible	compatible	ADJ
ejpam-4764	346	12	with	with	ADP
ejpam-4764	346	13	those	those	DET
ejpam-4764	346	14	methods	method	NOUN
ejpam-4764	346	15	in	in	ADP
ejpam-4764	346	16	the	the	DET
ejpam-4764	346	17	literature	literature	NOUN
ejpam-4764	346	18	such	such	ADJ
ejpam-4764	346	19	as	as	ADP
ejpam-4764	346	20	the	the	DET
ejpam-4764	346	21	variational	variational	ADJ
ejpam-4764	346	22	iteration	iteration	NOUN
ejpam-4764	346	23	method	method	NOUN
ejpam-4764	346	24	,	,	PUNCT
ejpam-4764	346	25	sinc	sinc	ADJ
ejpam-4764	346	26	-	-	PUNCT
ejpam-4764	346	27	collocation	collocation	NOUN
ejpam-4764	346	28	method	method	NOUN
ejpam-4764	346	29	,	,	PUNCT
ejpam-4764	346	30	and	and	CCONJ
ejpam-4764	346	31	boundary	boundary	ADJ
ejpam-4764	346	32	value	value	NOUN
ejpam-4764	346	33	methods	method	NOUN
ejpam-4764	346	34	.	.	PUNCT
ejpam-4764	347	1	references	reference	NOUN
ejpam-4764	347	2	[	[	X
ejpam-4764	347	3	1	1	X
ejpam-4764	347	4	]	]	X
ejpam-4764	347	5	ghazi	ghazi	PROPN
ejpam-4764	347	6	abed	abe	VERB
ejpam-4764	347	7	meften	meften	PROPN
ejpam-4764	347	8	,	,	PUNCT
ejpam-4764	347	9	ali	ali	PROPN
ejpam-4764	347	10	hasan	hasan	PROPN
ejpam-4764	347	11	ali	ali	PROPN
ejpam-4764	347	12	,	,	PUNCT
ejpam-4764	347	13	khalil	khalil	PROPN
ejpam-4764	347	14	s	s	PROPN
ejpam-4764	347	15	al	al	PROPN
ejpam-4764	347	16	-	-	PUNCT
ejpam-4764	347	17	ghafri	ghafri	PROPN
ejpam-4764	347	18	,	,	PUNCT
ejpam-4764	347	19	jan	jan	PROPN
ejpam-4764	347	20	awrejcewicz	awrejcewicz	PROPN
ejpam-4764	347	21	,	,	PUNCT
ejpam-4764	347	22	and	and	CCONJ
ejpam-4764	347	23	omar	omar	PROPN
ejpam-4764	347	24	bazighifan	bazighifan	PROPN
ejpam-4764	347	25	.	.	PUNCT
ejpam-4764	348	1	nonlinear	nonlinear	ADJ
ejpam-4764	348	2	stability	stability	NOUN
ejpam-4764	348	3	and	and	CCONJ
ejpam-4764	348	4	linear	linear	ADJ
ejpam-4764	348	5	instability	instability	NOUN
ejpam-4764	348	6	of	of	ADP
ejpam-4764	348	7	double	double	ADJ
ejpam-4764	348	8	-	-	PUNCT
ejpam-4764	348	9	diffusive	diffusive	ADJ
ejpam-4764	348	10	convection	convection	NOUN
ejpam-4764	348	11	in	in	ADP
ejpam-4764	348	12	a	a	DET
ejpam-4764	348	13	rotating	rotating	NOUN
ejpam-4764	348	14	with	with	ADP
ejpam-4764	348	15	ltne	ltne	NOUN
ejpam-4764	348	16	effects	effect	NOUN
ejpam-4764	348	17	and	and	CCONJ
ejpam-4764	348	18	symmetric	symmetric	ADJ
ejpam-4764	348	19	properties	property	NOUN
ejpam-4764	348	20	:	:	PUNCT
ejpam-4764	348	21	brinkmann	brinkmann	PROPN
ejpam-4764	348	22	-	-	PUNCT
ejpam-4764	348	23	forchheimer	forchheimer	PROPN
ejpam-4764	348	24	model	model	NOUN
ejpam-4764	348	25	.	.	PUNCT
ejpam-4764	349	1	symmetry	symmetry	PROPN
ejpam-4764	349	2	,	,	PUNCT
ejpam-4764	349	3	14(3):565	14(3):565	NUM
ejpam-4764	349	4	,	,	PUNCT
ejpam-4764	349	5	2022	2022	NUM
ejpam-4764	349	6	.	.	PUNCT
ejpam-4764	350	1	[	[	X
ejpam-4764	350	2	2	2	X
ejpam-4764	350	3	]	]	PUNCT
ejpam-4764	350	4	mohammed	mohammed	PROPN
ejpam-4764	350	5	j	j	PROPN
ejpam-4764	350	6	ahmed	ahmed	PROPN
ejpam-4764	350	7	and	and	CCONJ
ejpam-4764	350	8	waleed	waleed	PROPN
ejpam-4764	350	9	al	al	PROPN
ejpam-4764	350	10	-	-	PUNCT
ejpam-4764	350	11	hayani	hayani	PROPN
ejpam-4764	350	12	.	.	PUNCT
ejpam-4764	351	1	the	the	DET
ejpam-4764	351	2	homotopy	homotopy	NOUN
ejpam-4764	351	3	perturbation	perturbation	NOUN
ejpam-4764	351	4	method	method	NOUN
ejpam-4764	351	5	to	to	PART
ejpam-4764	351	6	solve	solve	VERB
ejpam-4764	351	7	initial	initial	ADJ
ejpam-4764	351	8	value	value	NOUN
ejpam-4764	351	9	problems	problem	NOUN
ejpam-4764	351	10	of	of	ADP
ejpam-4764	351	11	first	first	ADJ
ejpam-4764	351	12	order	order	NOUN
ejpam-4764	351	13	with	with	ADP
ejpam-4764	351	14	discontinuities	discontinuity	NOUN
ejpam-4764	351	15	.	.	PUNCT
ejpam-4764	352	1	al	al	PROPN
ejpam-4764	352	2	-	-	PUNCT
ejpam-4764	352	3	rafidain	rafidain	PROPN
ejpam-4764	352	4	journal	journal	NOUN
ejpam-4764	352	5	of	of	ADP
ejpam-4764	352	6	computer	computer	NOUN
ejpam-4764	352	7	sciences	science	NOUN
ejpam-4764	352	8	and	and	CCONJ
ejpam-4764	352	9	mathematics	mathematic	NOUN
ejpam-4764	352	10	,	,	PUNCT
ejpam-4764	352	11	16(2):61–70	16(2):61–70	NUM
ejpam-4764	352	12	,	,	PUNCT
ejpam-4764	352	13	2022	2022	NUM
ejpam-4764	352	14	.	.	PUNCT
ejpam-4764	353	1	[	[	X
ejpam-4764	353	2	3	3	X
ejpam-4764	353	3	]	]	X
ejpam-4764	353	4	rasha	rasha	PROPN
ejpam-4764	353	5	f.	f.	PROPN
ejpam-4764	353	6	ahmed	ahmed	PROPN
ejpam-4764	353	7	,	,	PUNCT
ejpam-4764	353	8	waleed	waleed	PROPN
ejpam-4764	353	9	al	al	PROPN
ejpam-4764	353	10	-	-	PUNCT
ejpam-4764	353	11	hayani	hayani	PROPN
ejpam-4764	353	12	,	,	PUNCT
ejpam-4764	353	13	and	and	CCONJ
ejpam-4764	353	14	abbas	abbas	PROPN
ejpam-4764	353	15	y.	y.	PROPN
ejpam-4764	353	16	al	al	PROPN
ejpam-4764	353	17	-	-	PUNCT
ejpam-4764	353	18	bayati	bayati	PROPN
ejpam-4764	353	19	.	.	PUNCT
ejpam-4764	354	1	the	the	DET
ejpam-4764	354	2	homotopy	homotopy	NOUN
ejpam-4764	354	3	analysis	analysis	NOUN
ejpam-4764	354	4	method	method	NOUN
ejpam-4764	354	5	to	to	PART
ejpam-4764	354	6	solve	solve	VERB
ejpam-4764	354	7	the	the	DET
ejpam-4764	354	8	nonlinear	nonlinear	ADJ
ejpam-4764	354	9	system	system	NOUN
ejpam-4764	354	10	of	of	ADP
ejpam-4764	354	11	volterra	volterra	PROPN
ejpam-4764	354	12	integral	integral	ADJ
ejpam-4764	354	13	equations	equation	NOUN
ejpam-4764	354	14	and	and	CCONJ
ejpam-4764	354	15	applying	apply	VERB
ejpam-4764	354	16	references	reference	NOUN
ejpam-4764	354	17	1258	1258	NUM
ejpam-4764	354	18	the	the	DET
ejpam-4764	354	19	genetic	genetic	ADJ
ejpam-4764	354	20	algorithm	algorithm	NOUN
ejpam-4764	354	21	to	to	PART
ejpam-4764	354	22	enhance	enhance	VERB
ejpam-4764	354	23	the	the	DET
ejpam-4764	354	24	solutions	solution	NOUN
ejpam-4764	354	25	.	.	PUNCT
ejpam-4764	355	1	european	european	ADJ
ejpam-4764	355	2	journal	journal	PROPN
ejpam-4764	355	3	of	of	ADP
ejpam-4764	355	4	pure	pure	ADJ
ejpam-4764	355	5	and	and	CCONJ
ejpam-4764	355	6	applied	applied	ADJ
ejpam-4764	355	7	mathematics	mathematic	NOUN
ejpam-4764	355	8	,	,	PUNCT
ejpam-4764	355	9	in	in	ADP
ejpam-4764	355	10	press	press	NOUN
ejpam-4764	355	11	,	,	PUNCT
ejpam-4764	355	12	2023	2023	NUM
ejpam-4764	355	13	.	.	PUNCT
ejpam-4764	356	1	https://doi.org/10.29020/nybg.ejpam.v16i2	https://doi.org/10.29020/nybg.ejpam.v16i2	PROPN
ejpam-4764	356	2	.	.	PUNCT
ejpam-4764	357	1	4764	4764	NUM
ejpam-4764	357	2	.	.	PUNCT
ejpam-4764	358	1	[	[	X
ejpam-4764	358	2	4	4	X
ejpam-4764	358	3	]	]	PUNCT
ejpam-4764	358	4	m	m	AUX
ejpam-4764	358	5	tahmina	tahmina	NOUN
ejpam-4764	358	6	akter	akter	NOUN
ejpam-4764	358	7	and	and	CCONJ
ejpam-4764	358	8	ma	ma	PROPN
ejpam-4764	358	9	mansur	mansur	PROPN
ejpam-4764	358	10	chowdhury	chowdhury	PROPN
ejpam-4764	358	11	.	.	PUNCT
ejpam-4764	359	1	homotopy	homotopy	VERB
ejpam-4764	359	2	perturbation	perturbation	NOUN
ejpam-4764	359	3	method	method	NOUN
ejpam-4764	359	4	for	for	ADP
ejpam-4764	359	5	solving	solve	VERB
ejpam-4764	359	6	nonlinear	nonlinear	ADJ
ejpam-4764	359	7	partial	partial	ADJ
ejpam-4764	359	8	differential	differential	NOUN
ejpam-4764	359	9	equations	equation	NOUN
ejpam-4764	359	10	.	.	PUNCT
ejpam-4764	360	1	iosr	iosr	ADJ
ejpam-4764	360	2	journal	journal	PROPN
ejpam-4764	360	3	of	of	ADP
ejpam-4764	360	4	mathematics	mathematic	NOUN
ejpam-4764	360	5	,	,	PUNCT
ejpam-4764	360	6	12(5):59–69	12(5):59–69	NUM
ejpam-4764	360	7	,	,	PUNCT
ejpam-4764	360	8	2016	2016	NUM
ejpam-4764	360	9	.	.	PUNCT
ejpam-4764	361	1	[	[	X
ejpam-4764	361	2	5	5	X
ejpam-4764	361	3	]	]	PUNCT
ejpam-4764	361	4	ali	ali	PROPN
ejpam-4764	361	5	hasan	hasan	PROPN
ejpam-4764	361	6	ali	ali	PROPN
ejpam-4764	361	7	,	,	PUNCT
ejpam-4764	361	8	ghazi	ghazi	PROPN
ejpam-4764	361	9	abed	abe	VERB
ejpam-4764	361	10	meften	meften	PROPN
ejpam-4764	361	11	,	,	PUNCT
ejpam-4764	361	12	omar	omar	PROPN
ejpam-4764	361	13	bazighifan	bazighifan	PROPN
ejpam-4764	361	14	,	,	PUNCT
ejpam-4764	361	15	mehak	mehak	PROPN
ejpam-4764	361	16	iqbal	iqbal	PROPN
ejpam-4764	361	17	,	,	PUNCT
ejpam-4764	361	18	sergio	sergio	PROPN
ejpam-4764	361	19	elaskar	elaskar	PROPN
ejpam-4764	361	20	,	,	PUNCT
ejpam-4764	361	21	and	and	CCONJ
ejpam-4764	361	22	jan	jan	PROPN
ejpam-4764	361	23	awrejcewicz	awrejcewicz	PROPN
ejpam-4764	361	24	.	.	PUNCT
ejpam-4764	362	1	a	a	DET
ejpam-4764	362	2	study	study	NOUN
ejpam-4764	362	3	of	of	ADP
ejpam-4764	362	4	continuous	continuous	ADJ
ejpam-4764	362	5	dependence	dependence	NOUN
ejpam-4764	362	6	and	and	CCONJ
ejpam-4764	362	7	symmetric	symmetric	ADJ
ejpam-4764	362	8	properties	property	NOUN
ejpam-4764	362	9	of	of	ADP
ejpam-4764	362	10	double	double	ADJ
ejpam-4764	362	11	diffusive	diffusive	ADJ
ejpam-4764	362	12	convection	convection	NOUN
ejpam-4764	362	13	:	:	PUNCT
ejpam-4764	362	14	forchheimer	forchheimer	PROPN
ejpam-4764	362	15	model	model	PROPN
ejpam-4764	362	16	.	.	PUNCT
ejpam-4764	362	17	symmetry	symmetry	PROPN
ejpam-4764	362	18	,	,	PUNCT
ejpam-4764	362	19	14(682):1–18	14(682):1–18	PROPN
ejpam-4764	362	20	,	,	PUNCT
ejpam-4764	362	21	2022	2022	NUM
ejpam-4764	362	22	.	.	PUNCT
ejpam-4764	363	1	[	[	X
ejpam-4764	363	2	6	6	NUM
ejpam-4764	363	3	]	]	PUNCT
ejpam-4764	363	4	sarmad	sarmad	VERB
ejpam-4764	363	5	a	a	DET
ejpam-4764	363	6	altaie	altaie	NOUN
ejpam-4764	363	7	,	,	PUNCT
ejpam-4764	363	8	nidal	nidal	PROPN
ejpam-4764	363	9	anakira	anakira	PROPN
ejpam-4764	363	10	,	,	PUNCT
ejpam-4764	363	11	ali	ali	PROPN
ejpam-4764	363	12	jameel	jameel	PROPN
ejpam-4764	363	13	,	,	PUNCT
ejpam-4764	363	14	osama	osama	PROPN
ejpam-4764	363	15	ababneh	ababneh	NOUN
ejpam-4764	363	16	,	,	PUNCT
ejpam-4764	363	17	ahmad	ahmad	PROPN
ejpam-4764	363	18	qazza	qazza	PROPN
ejpam-4764	363	19	,	,	PUNCT
ejpam-4764	363	20	and	and	CCONJ
ejpam-4764	363	21	abdel	abdel	PROPN
ejpam-4764	363	22	kareem	kareem	PROPN
ejpam-4764	363	23	alomari	alomari	PROPN
ejpam-4764	363	24	.	.	PUNCT
ejpam-4764	364	1	homotopy	homotopy	VERB
ejpam-4764	364	2	analysis	analysis	NOUN
ejpam-4764	364	3	method	method	NOUN
ejpam-4764	364	4	analytical	analytical	ADJ
ejpam-4764	364	5	scheme	scheme	NOUN
ejpam-4764	364	6	for	for	ADP
ejpam-4764	364	7	developing	develop	VERB
ejpam-4764	364	8	a	a	DET
ejpam-4764	364	9	solution	solution	NOUN
ejpam-4764	364	10	to	to	ADP
ejpam-4764	364	11	partial	partial	ADJ
ejpam-4764	364	12	differential	differential	ADJ
ejpam-4764	364	13	equations	equation	NOUN
ejpam-4764	364	14	in	in	ADP
ejpam-4764	364	15	fuzzy	fuzzy	ADJ
ejpam-4764	364	16	environment	environment	NOUN
ejpam-4764	364	17	.	.	PUNCT
ejpam-4764	365	1	fractal	fractal	ADJ
ejpam-4764	365	2	and	and	CCONJ
ejpam-4764	365	3	fractional	fractional	ADJ
ejpam-4764	365	4	,	,	PUNCT
ejpam-4764	365	5	6(8):419	6(8):419	NUM
ejpam-4764	365	6	,	,	PUNCT
ejpam-4764	365	7	2022	2022	NUM
ejpam-4764	365	8	.	.	PUNCT
ejpam-4764	366	1	[	[	X
ejpam-4764	366	2	7	7	X
ejpam-4764	366	3	]	]	PUNCT
ejpam-4764	366	4	ta	ta	ADP
ejpam-4764	366	5	biala	biala	PROPN
ejpam-4764	366	6	and	and	CCONJ
ejpam-4764	366	7	sn	sn	PROPN
ejpam-4764	366	8	jator	jator	PROPN
ejpam-4764	366	9	.	.	PUNCT
ejpam-4764	367	1	a	a	DET
ejpam-4764	367	2	family	family	NOUN
ejpam-4764	367	3	of	of	ADP
ejpam-4764	367	4	boundary	boundary	ADJ
ejpam-4764	367	5	value	value	NOUN
ejpam-4764	367	6	methods	method	NOUN
ejpam-4764	367	7	for	for	ADP
ejpam-4764	367	8	systems	system	NOUN
ejpam-4764	367	9	of	of	ADP
ejpam-4764	367	10	secondorder	secondorder	ADJ
ejpam-4764	367	11	boundary	boundary	ADJ
ejpam-4764	367	12	value	value	NOUN
ejpam-4764	367	13	problems	problem	NOUN
ejpam-4764	367	14	.	.	PUNCT
ejpam-4764	368	1	international	international	ADJ
ejpam-4764	368	2	journal	journal	PROPN
ejpam-4764	368	3	of	of	ADP
ejpam-4764	368	4	differential	differential	ADJ
ejpam-4764	368	5	equations	equation	NOUN
ejpam-4764	368	6	,	,	PUNCT
ejpam-4764	368	7	2017:1–12	2017:1–12	NUM
ejpam-4764	368	8	,	,	PUNCT
ejpam-4764	368	9	2017	2017	NUM
ejpam-4764	368	10	.	.	PUNCT
ejpam-4764	369	1	[	[	X
ejpam-4764	369	2	8	8	NUM
ejpam-4764	369	3	]	]	PUNCT
ejpam-4764	369	4	snehashish	snehashish	ADJ
ejpam-4764	369	5	chakraverty	chakraverty	NOUN
ejpam-4764	369	6	,	,	PUNCT
ejpam-4764	369	7	nisha	nisha	PROPN
ejpam-4764	369	8	mahato	mahato	PROPN
ejpam-4764	369	9	,	,	PUNCT
ejpam-4764	369	10	perumandla	perumandla	NOUN
ejpam-4764	369	11	karunakar	karunakar	PROPN
ejpam-4764	369	12	,	,	PUNCT
ejpam-4764	369	13	and	and	CCONJ
ejpam-4764	369	14	tharasi	tharasi	PROPN
ejpam-4764	369	15	dilleswar	dilleswar	PROPN
ejpam-4764	369	16	rao	rao	PROPN
ejpam-4764	369	17	.	.	PUNCT
ejpam-4764	370	1	advanced	advanced	PROPN
ejpam-4764	370	2	numerical	numerical	ADJ
ejpam-4764	370	3	and	and	CCONJ
ejpam-4764	370	4	semi	semi	ADJ
ejpam-4764	370	5	-	-	ADJ
ejpam-4764	370	6	analytical	analytical	ADJ
ejpam-4764	370	7	methods	method	NOUN
ejpam-4764	370	8	for	for	ADP
ejpam-4764	370	9	differential	differential	ADJ
ejpam-4764	370	10	equations	equation	NOUN
ejpam-4764	370	11	.	.	PUNCT
ejpam-4764	371	1	john	john	PROPN
ejpam-4764	371	2	wiley	wiley	PROPN
ejpam-4764	371	3	&	&	CCONJ
ejpam-4764	371	4	sons	son	NOUN
ejpam-4764	371	5	,	,	PUNCT
ejpam-4764	371	6	2019	2019	NUM
ejpam-4764	371	7	.	.	PUNCT
ejpam-4764	372	1	[	[	X
ejpam-4764	372	2	9	9	NUM
ejpam-4764	372	3	]	]	PUNCT
ejpam-4764	372	4	mohamed	mohamed	PROPN
ejpam-4764	372	5	el	el	PROPN
ejpam-4764	372	6	-	-	PROPN
ejpam-4764	372	7	gamel	gamel	PROPN
ejpam-4764	372	8	.	.	PUNCT
ejpam-4764	372	9	sinc	sinc	ADJ
ejpam-4764	372	10	-	-	PUNCT
ejpam-4764	372	11	collocation	collocation	NOUN
ejpam-4764	372	12	method	method	NOUN
ejpam-4764	372	13	for	for	ADP
ejpam-4764	372	14	solving	solve	VERB
ejpam-4764	372	15	linear	linear	ADJ
ejpam-4764	372	16	and	and	CCONJ
ejpam-4764	372	17	nonlinear	nonlinear	ADJ
ejpam-4764	372	18	system	system	NOUN
ejpam-4764	372	19	of	of	ADP
ejpam-4764	372	20	second	second	ADJ
ejpam-4764	372	21	-	-	PUNCT
ejpam-4764	372	22	order	order	NOUN
ejpam-4764	372	23	boundary	boundary	ADJ
ejpam-4764	372	24	value	value	NOUN
ejpam-4764	372	25	problems	problem	NOUN
ejpam-4764	372	26	.	.	PUNCT
ejpam-4764	373	1	applied	apply	VERB
ejpam-4764	373	2	mathematics	mathematic	NOUN
ejpam-4764	373	3	,	,	PUNCT
ejpam-4764	373	4	3(11):1627–1633	3(11):1627–1633	NUM
ejpam-4764	373	5	,	,	PUNCT
ejpam-4764	373	6	2012	2012	NUM
ejpam-4764	373	7	.	.	PUNCT
ejpam-4764	374	1	[	[	X
ejpam-4764	374	2	10	10	NUM
ejpam-4764	374	3	]	]	X
ejpam-4764	374	4	r	r	NOUN
ejpam-4764	374	5	ezzati	ezzati	NOUN
ejpam-4764	374	6	and	and	CCONJ
ejpam-4764	374	7	s	s	PROPN
ejpam-4764	374	8	ziari	ziari	PROPN
ejpam-4764	374	9	.	.	PUNCT
ejpam-4764	375	1	numerical	numerical	ADJ
ejpam-4764	375	2	solution	solution	NOUN
ejpam-4764	375	3	and	and	CCONJ
ejpam-4764	375	4	error	error	NOUN
ejpam-4764	375	5	estimation	estimation	NOUN
ejpam-4764	375	6	of	of	ADP
ejpam-4764	375	7	fuzzy	fuzzy	ADJ
ejpam-4764	375	8	fredholm	fredholm	NOUN
ejpam-4764	375	9	integral	integral	ADJ
ejpam-4764	375	10	equation	equation	NOUN
ejpam-4764	375	11	using	use	VERB
ejpam-4764	375	12	fuzzy	fuzzy	ADJ
ejpam-4764	375	13	bernstein	bernstein	PROPN
ejpam-4764	375	14	polynomials	polynomials	PROPN
ejpam-4764	375	15	.	.	PUNCT
ejpam-4764	376	1	australian	australian	ADJ
ejpam-4764	376	2	journal	journal	NOUN
ejpam-4764	376	3	of	of	ADP
ejpam-4764	376	4	basic	basic	ADJ
ejpam-4764	376	5	and	and	CCONJ
ejpam-4764	376	6	applied	applied	ADJ
ejpam-4764	376	7	sciences	science	NOUN
ejpam-4764	376	8	,	,	PUNCT
ejpam-4764	376	9	5(9):2072–2082	5(9):2072–2082	NUM
ejpam-4764	376	10	,	,	PUNCT
ejpam-4764	376	11	2011	2011	NUM
ejpam-4764	376	12	.	.	PUNCT
ejpam-4764	377	1	[	[	X
ejpam-4764	377	2	11	11	NUM
ejpam-4764	377	3	]	]	X
ejpam-4764	377	4	asghar	asghar	PROPN
ejpam-4764	377	5	ghorbani	ghorbani	PROPN
ejpam-4764	377	6	.	.	PUNCT
ejpam-4764	378	1	beyond	beyond	ADP
ejpam-4764	378	2	adomian	adomian	NOUN
ejpam-4764	378	3	polynomials	polynomial	NOUN
ejpam-4764	378	4	:	:	PUNCT
ejpam-4764	378	5	he	he	PRON
ejpam-4764	378	6	polynomials	polynomial	VERB
ejpam-4764	378	7	.	.	PUNCT
ejpam-4764	379	1	chaos	chaos	NOUN
ejpam-4764	379	2	,	,	PUNCT
ejpam-4764	379	3	solitons	soliton	NOUN
ejpam-4764	379	4	&	&	CCONJ
ejpam-4764	379	5	fractals	fractal	NOUN
ejpam-4764	379	6	,	,	PUNCT
ejpam-4764	379	7	39(3):1486–1492	39(3):1486–1492	NUM
ejpam-4764	379	8	,	,	PUNCT
ejpam-4764	379	9	2009	2009	NUM
ejpam-4764	379	10	.	.	PUNCT
ejpam-4764	380	1	[	[	X
ejpam-4764	380	2	12	12	NUM
ejpam-4764	380	3	]	]	X
ejpam-4764	380	4	ji	ji	PROPN
ejpam-4764	380	5	-	-	PROPN
ejpam-4764	380	6	huan	huan	PROPN
ejpam-4764	380	7	he	he	PROPN
ejpam-4764	380	8	.	.	PUNCT
ejpam-4764	381	1	a	a	DET
ejpam-4764	381	2	coupling	coupling	NOUN
ejpam-4764	381	3	method	method	NOUN
ejpam-4764	381	4	of	of	ADP
ejpam-4764	381	5	a	a	DET
ejpam-4764	381	6	homotopy	homotopy	NOUN
ejpam-4764	381	7	technique	technique	NOUN
ejpam-4764	381	8	and	and	CCONJ
ejpam-4764	381	9	a	a	DET
ejpam-4764	381	10	perturbation	perturbation	NOUN
ejpam-4764	381	11	technique	technique	NOUN
ejpam-4764	381	12	for	for	ADP
ejpam-4764	381	13	non	non	ADJ
ejpam-4764	381	14	-	-	ADJ
ejpam-4764	381	15	linear	linear	ADJ
ejpam-4764	381	16	problems	problem	NOUN
ejpam-4764	381	17	.	.	PUNCT
ejpam-4764	382	1	international	international	ADJ
ejpam-4764	382	2	journal	journal	PROPN
ejpam-4764	382	3	of	of	ADP
ejpam-4764	382	4	non	non	ADJ
ejpam-4764	382	5	-	-	ADJ
ejpam-4764	382	6	linear	linear	ADJ
ejpam-4764	382	7	mechanics	mechanic	NOUN
ejpam-4764	382	8	,	,	PUNCT
ejpam-4764	382	9	35(1):37–43	35(1):37–43	NUM
ejpam-4764	382	10	,	,	PUNCT
ejpam-4764	382	11	2000	2000	NUM
ejpam-4764	382	12	.	.	PUNCT
ejpam-4764	383	1	[	[	X
ejpam-4764	383	2	13	13	NUM
ejpam-4764	383	3	]	]	X
ejpam-4764	383	4	ji	ji	PROPN
ejpam-4764	383	5	-	-	PROPN
ejpam-4764	383	6	huan	huan	PROPN
ejpam-4764	383	7	he	he	PROPN
ejpam-4764	383	8	.	.	PUNCT
ejpam-4764	384	1	homotopy	homotopy	VERB
ejpam-4764	384	2	perturbation	perturbation	NOUN
ejpam-4764	384	3	method	method	NOUN
ejpam-4764	384	4	for	for	ADP
ejpam-4764	384	5	solving	solve	VERB
ejpam-4764	384	6	boundary	boundary	ADJ
ejpam-4764	384	7	value	value	NOUN
ejpam-4764	384	8	problems	problem	NOUN
ejpam-4764	384	9	.	.	PUNCT
ejpam-4764	385	1	physics	physics	NOUN
ejpam-4764	385	2	letters	letter	NOUN
ejpam-4764	385	3	a	a	DET
ejpam-4764	385	4	,	,	PUNCT
ejpam-4764	385	5	350(1	350(1	NUM
ejpam-4764	385	6	-	-	SYM
ejpam-4764	385	7	2):87–88	2):87–88	NUM
ejpam-4764	385	8	,	,	PUNCT
ejpam-4764	385	9	2006	2006	NUM
ejpam-4764	385	10	.	.	PUNCT
ejpam-4764	386	1	[	[	X
ejpam-4764	386	2	14	14	NUM
ejpam-4764	386	3	]	]	X
ejpam-4764	386	4	ji	ji	PROPN
ejpam-4764	386	5	-	-	PROPN
ejpam-4764	386	6	huan	huan	PROPN
ejpam-4764	386	7	he	he	PRON
ejpam-4764	386	8	and	and	CCONJ
ejpam-4764	386	9	yusry	yusry	PROPN
ejpam-4764	386	10	o	o	PROPN
ejpam-4764	386	11	el	el	PROPN
ejpam-4764	386	12	-	-	PROPN
ejpam-4764	386	13	dib	dib	PROPN
ejpam-4764	386	14	.	.	PUNCT
ejpam-4764	386	15	homotopy	homotopy	NOUN
ejpam-4764	386	16	perturbation	perturbation	NOUN
ejpam-4764	386	17	method	method	NOUN
ejpam-4764	386	18	with	with	ADP
ejpam-4764	386	19	three	three	NUM
ejpam-4764	386	20	expansions	expansion	NOUN
ejpam-4764	386	21	.	.	PUNCT
ejpam-4764	387	1	journal	journal	NOUN
ejpam-4764	387	2	of	of	ADP
ejpam-4764	387	3	mathematical	mathematical	ADJ
ejpam-4764	387	4	chemistry	chemistry	NOUN
ejpam-4764	387	5	,	,	PUNCT
ejpam-4764	387	6	59:1139–1150	59:1139–1150	NUM
ejpam-4764	387	7	,	,	PUNCT
ejpam-4764	387	8	2021	2021	NUM
ejpam-4764	387	9	.	.	PUNCT
ejpam-4764	388	1	[	[	X
ejpam-4764	388	2	15	15	NUM
ejpam-4764	388	3	]	]	X
ejpam-4764	388	4	shijun	shijun	PROPN
ejpam-4764	388	5	liao	liao	PROPN
ejpam-4764	388	6	.	.	PROPN
ejpam-4764	389	1	beyond	beyond	ADP
ejpam-4764	389	2	perturbation	perturbation	NOUN
ejpam-4764	389	3	:	:	PUNCT
ejpam-4764	389	4	introduction	introduction	NOUN
ejpam-4764	389	5	to	to	ADP
ejpam-4764	389	6	the	the	DET
ejpam-4764	389	7	homotopy	homotopy	NOUN
ejpam-4764	389	8	analysis	analysis	NOUN
ejpam-4764	389	9	method	method	NOUN
ejpam-4764	389	10	.	.	PUNCT
ejpam-4764	390	1	crc	crc	PROPN
ejpam-4764	390	2	press	press	PROPN
ejpam-4764	390	3	,	,	PUNCT
ejpam-4764	390	4	2003	2003	NUM
ejpam-4764	390	5	.	.	PUNCT
ejpam-4764	391	1	references	reference	NOUN
ejpam-4764	391	2	1259	1259	NUM
ejpam-4764	391	3	[	[	X
ejpam-4764	391	4	16	16	NUM
ejpam-4764	391	5	]	]	X
ejpam-4764	391	6	shijun	shijun	PROPN
ejpam-4764	391	7	liao	liao	PROPN
ejpam-4764	391	8	.	.	PROPN
ejpam-4764	391	9	homotopy	homotopy	VERB
ejpam-4764	391	10	analysis	analysis	NOUN
ejpam-4764	391	11	method	method	NOUN
ejpam-4764	391	12	in	in	ADP
ejpam-4764	391	13	nonlinear	nonlinear	ADJ
ejpam-4764	391	14	differential	differential	ADJ
ejpam-4764	391	15	equations	equation	NOUN
ejpam-4764	391	16	.	.	PUNCT
ejpam-4764	392	1	springer	springer	NOUN
ejpam-4764	392	2	,	,	PUNCT
ejpam-4764	392	3	2012	2012	NUM
ejpam-4764	392	4	.	.	PUNCT
ejpam-4764	393	1	[	[	X
ejpam-4764	393	2	17	17	NUM
ejpam-4764	393	3	]	]	X
ejpam-4764	393	4	junfeng	junfeng	PROPN
ejpam-4764	393	5	lu	lu	PROPN
ejpam-4764	393	6	.	.	PUNCT
ejpam-4764	393	7	variational	variational	ADJ
ejpam-4764	393	8	iteration	iteration	NOUN
ejpam-4764	393	9	method	method	NOUN
ejpam-4764	393	10	for	for	ADP
ejpam-4764	393	11	solving	solve	VERB
ejpam-4764	393	12	a	a	DET
ejpam-4764	393	13	nonlinear	nonlinear	ADJ
ejpam-4764	393	14	system	system	NOUN
ejpam-4764	393	15	of	of	ADP
ejpam-4764	393	16	secondorder	secondorder	ADJ
ejpam-4764	393	17	boundary	boundary	ADJ
ejpam-4764	393	18	value	value	NOUN
ejpam-4764	393	19	problems	problem	NOUN
ejpam-4764	393	20	.	.	PUNCT
ejpam-4764	394	1	computers	computer	NOUN
ejpam-4764	394	2	&	&	CCONJ
ejpam-4764	394	3	mathematics	mathematics	PROPN
ejpam-4764	394	4	with	with	ADP
ejpam-4764	394	5	applications	application	NOUN
ejpam-4764	394	6	,	,	PUNCT
ejpam-4764	394	7	54(78):1133–1138	54(78):1133–1138	NUM
ejpam-4764	394	8	,	,	PUNCT
ejpam-4764	394	9	2007	2007	NUM
ejpam-4764	394	10	.	.	PUNCT
ejpam-4764	395	1	[	[	X
ejpam-4764	395	2	18	18	NUM
ejpam-4764	395	3	]	]	X
ejpam-4764	395	4	ghazi	ghazi	PROPN
ejpam-4764	395	5	abed	abe	VERB
ejpam-4764	395	6	meften	meften	VERB
ejpam-4764	395	7	and	and	CCONJ
ejpam-4764	395	8	ali	ali	PROPN
ejpam-4764	395	9	hasan	hasan	PROPN
ejpam-4764	395	10	ali	ali	PROPN
ejpam-4764	395	11	.	.	PUNCT
ejpam-4764	396	1	continuous	continuous	ADJ
ejpam-4764	396	2	dependence	dependence	NOUN
ejpam-4764	396	3	for	for	ADP
ejpam-4764	396	4	double	double	ADJ
ejpam-4764	396	5	diffusive	diffusive	ADJ
ejpam-4764	396	6	convection	convection	NOUN
ejpam-4764	396	7	in	in	ADP
ejpam-4764	396	8	a	a	DET
ejpam-4764	396	9	brinkman	brinkman	NOUN
ejpam-4764	396	10	model	model	NOUN
ejpam-4764	396	11	with	with	ADP
ejpam-4764	396	12	variable	variable	ADJ
ejpam-4764	396	13	viscosity	viscosity	NOUN
ejpam-4764	396	14	.	.	PUNCT
ejpam-4764	397	1	acta	acta	PROPN
ejpam-4764	397	2	universitatis	universitatis	PROPN
ejpam-4764	397	3	sapientiae	sapientiae	PROPN
ejpam-4764	397	4	,	,	PUNCT
ejpam-4764	397	5	mathematica	mathematica	PROPN
ejpam-4764	397	6	,	,	PUNCT
ejpam-4764	397	7	14(1):125–146	14(1):125–146	PROPN
ejpam-4764	397	8	,	,	PUNCT
ejpam-4764	397	9	2022	2022	NUM
ejpam-4764	397	10	.	.	PUNCT
ejpam-4764	398	1	[	[	X
ejpam-4764	398	2	19	19	NUM
ejpam-4764	398	3	]	]	X
ejpam-4764	398	4	r	r	NOUN
ejpam-4764	398	5	shanthi	shanthi	PROPN
ejpam-4764	398	6	,	,	PUNCT
ejpam-4764	398	7	t	t	PROPN
ejpam-4764	398	8	iswarya	iswarya	PROPN
ejpam-4764	398	9	,	,	PUNCT
ejpam-4764	398	10	j	j	PROPN
ejpam-4764	398	11	visuvasam	visuvasam	NOUN
ejpam-4764	398	12	,	,	PUNCT
ejpam-4764	398	13	l	l	NOUN
ejpam-4764	398	14	rajendran	rajendran	NOUN
ejpam-4764	398	15	,	,	PUNCT
ejpam-4764	398	16	and	and	CCONJ
ejpam-4764	398	17	michael	michael	PROPN
ejpam-4764	398	18	eg	eg	PROPN
ejpam-4764	398	19	lyons	lyons	PROPN
ejpam-4764	398	20	.	.	PUNCT
ejpam-4764	399	1	voltammetric	voltammetric	ADJ
ejpam-4764	399	2	and	and	CCONJ
ejpam-4764	399	3	mathematical	mathematical	ADJ
ejpam-4764	399	4	analysis	analysis	NOUN
ejpam-4764	399	5	of	of	ADP
ejpam-4764	399	6	adsorption	adsorption	NOUN
ejpam-4764	399	7	of	of	ADP
ejpam-4764	399	8	enzymes	enzyme	NOUN
ejpam-4764	399	9	at	at	ADP
ejpam-4764	399	10	rotating	rotate	VERB
ejpam-4764	399	11	disk	disk	NOUN
ejpam-4764	399	12	electrode	electrode	NOUN
ejpam-4764	399	13	.	.	PUNCT
ejpam-4764	400	1	int	int	NOUN
ejpam-4764	400	2	.	.	PUNCT
ejpam-4764	401	1	j.	j.	PROPN
ejpam-4764	401	2	electrochem	electrochem	PROPN
ejpam-4764	401	3	.	.	PUNCT
ejpam-4764	402	1	sci	sci	PROPN
ejpam-4764	402	2	,	,	PUNCT
ejpam-4764	402	3	17(220433):2	17(220433):2	NUM
ejpam-4764	402	4	,	,	PUNCT
ejpam-4764	402	5	2022	2022	NUM
ejpam-4764	402	6	.	.	PUNCT
ejpam-4764	403	1	[	[	X
ejpam-4764	403	2	20	20	NUM
ejpam-4764	403	3	]	]	SYM
ejpam-4764	403	4	srinivasarao	srinivasarao	NOUN
ejpam-4764	403	5	thota	thota	NOUN
ejpam-4764	403	6	.	.	PUNCT
ejpam-4764	404	1	solution	solution	NOUN
ejpam-4764	404	2	of	of	ADP
ejpam-4764	404	3	generalized	generalized	ADJ
ejpam-4764	404	4	abel	abel	PROPN
ejpam-4764	404	5	’s	’s	PART
ejpam-4764	404	6	integral	integral	ADJ
ejpam-4764	404	7	equations	equation	NOUN
ejpam-4764	404	8	by	by	ADP
ejpam-4764	404	9	homotopy	homotopy	NOUN
ejpam-4764	404	10	perturbation	perturbation	NOUN
ejpam-4764	404	11	method	method	NOUN
ejpam-4764	404	12	with	with	ADP
ejpam-4764	404	13	adaptation	adaptation	NOUN
ejpam-4764	404	14	in	in	ADP
ejpam-4764	404	15	laplace	laplace	NOUN
ejpam-4764	404	16	transformation	transformation	NOUN
ejpam-4764	404	17	.	.	PUNCT
ejpam-4764	405	1	sohag	sohag	NOUN
ejpam-4764	405	2	j	j	PROPN
ejpam-4764	405	3	math	math	PROPN
ejpam-4764	405	4	,	,	PUNCT
ejpam-4764	405	5	9(2):29	9(2):29	NOUN
ejpam-4764	405	6	–	–	PUNCT
ejpam-4764	405	7	35	35	NUM
ejpam-4764	405	8	,	,	PUNCT
ejpam-4764	405	9	2022	2022	NUM
ejpam-4764	405	10	.	.	PUNCT
ejpam-4764	406	1	[	[	X
ejpam-4764	406	2	21	21	NUM
ejpam-4764	406	3	]	]	X
ejpam-4764	406	4	e	e	X
ejpam-4764	406	5	arul	arul	NOUN
ejpam-4764	406	6	vijayalakshmi	vijayalakshmi	NOUN
ejpam-4764	406	7	,	,	PUNCT
ejpam-4764	406	8	ss	ss	PROPN
ejpam-4764	406	9	santra	santra	PROPN
ejpam-4764	406	10	,	,	PUNCT
ejpam-4764	406	11	t	t	PROPN
ejpam-4764	406	12	botmart	botmart	NOUN
ejpam-4764	406	13	,	,	PUNCT
ejpam-4764	406	14	h	h	NOUN
ejpam-4764	406	15	alotaibi	alotaibi	NOUN
ejpam-4764	406	16	,	,	PUNCT
ejpam-4764	406	17	gb	gb	ADP
ejpam-4764	406	18	loganathan	loganathan	PROPN
ejpam-4764	406	19	,	,	PUNCT
ejpam-4764	406	20	m	m	PROPN
ejpam-4764	406	21	kannan	kannan	PROPN
ejpam-4764	406	22	,	,	PUNCT
ejpam-4764	406	23	j	j	PROPN
ejpam-4764	406	24	visuvasam	visuvasam	NOUN
ejpam-4764	406	25	,	,	PUNCT
ejpam-4764	406	26	and	and	CCONJ
ejpam-4764	406	27	v	v	ADP
ejpam-4764	406	28	govindan	govindan	NOUN
ejpam-4764	406	29	.	.	PUNCT
ejpam-4764	407	1	analysis	analysis	NOUN
ejpam-4764	407	2	of	of	ADP
ejpam-4764	407	3	the	the	DET
ejpam-4764	407	4	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-4764	407	5	flow	flow	NOUN
ejpam-4764	407	6	in	in	ADP
ejpam-4764	407	7	a	a	DET
ejpam-4764	407	8	porous	porous	ADJ
ejpam-4764	407	9	medium	medium	NOUN
ejpam-4764	407	10	.	.	PUNCT
ejpam-4764	408	1	aims	aim	VERB
ejpam-4764	408	2	mathematics	mathematic	NOUN
ejpam-4764	408	3	,	,	PUNCT
ejpam-4764	408	4	7(8):15182–15194	7(8):15182–15194	PROPN
ejpam-4764	408	5	,	,	PUNCT
ejpam-4764	408	6	2022	2022	NUM
ejpam-4764	408	7	.	.	PUNCT
ejpam-4764	409	1	[	[	X
ejpam-4764	409	2	22	22	NUM
ejpam-4764	409	3	]	]	X
ejpam-4764	409	4	e	e	X
ejpam-4764	409	5	arul	arul	NOUN
ejpam-4764	409	6	vijayalakshmi	vijayalakshmi	NOUN
ejpam-4764	409	7	,	,	PUNCT
ejpam-4764	409	8	james	james	PROPN
ejpam-4764	409	9	visuvasam	visuvasam	PROPN
ejpam-4764	409	10	,	,	PUNCT
ejpam-4764	409	11	and	and	CCONJ
ejpam-4764	409	12	m	m	PROPN
ejpam-4764	409	13	kannan	kannan	PROPN
ejpam-4764	409	14	.	.	PUNCT
ejpam-4764	410	1	theoretical	theoretical	ADJ
ejpam-4764	410	2	analysis	analysis	NOUN
ejpam-4764	410	3	of	of	ADP
ejpam-4764	410	4	mhd	mhd	NOUN
ejpam-4764	410	5	mixed	mixed	ADJ
ejpam-4764	410	6	convection	convection	NOUN
ejpam-4764	410	7	from	from	ADP
ejpam-4764	410	8	a	a	DET
ejpam-4764	410	9	vertical	vertical	ADJ
ejpam-4764	410	10	plate	plate	NOUN
ejpam-4764	410	11	embedded	embed	VERB
ejpam-4764	410	12	in	in	ADP
ejpam-4764	410	13	a	a	DET
ejpam-4764	410	14	porous	porous	ADJ
ejpam-4764	410	15	medium	medium	NOUN
ejpam-4764	410	16	with	with	ADP
ejpam-4764	410	17	a	a	DET
ejpam-4764	410	18	convective	convective	ADJ
ejpam-4764	410	19	boundary	boundary	ADJ
ejpam-4764	410	20	condition	condition	NOUN
ejpam-4764	410	21	.	.	PUNCT
ejpam-4764	411	1	ecs	ec	NOUN
ejpam-4764	411	2	transactions	transaction	NOUN
ejpam-4764	411	3	,	,	PUNCT
ejpam-4764	411	4	107(1):18507–18522	107(1):18507–18522	NOUN
ejpam-4764	411	5	,	,	PUNCT
ejpam-4764	411	6	2022	2022	NUM
ejpam-4764	411	7	.	.	PUNCT
ejpam-4764	412	1	[	[	X
ejpam-4764	412	2	23	23	NUM
ejpam-4764	412	3	]	]	X
ejpam-4764	412	4	j	j	PROPN
ejpam-4764	412	5	visuvasam	visuvasam	PROPN
ejpam-4764	412	6	,	,	PUNCT
ejpam-4764	412	7	angela	angela	PROPN
ejpam-4764	412	8	molina	molina	PROPN
ejpam-4764	412	9	,	,	PUNCT
ejpam-4764	412	10	e	e	PROPN
ejpam-4764	412	11	laborda	laborda	PROPN
ejpam-4764	412	12	,	,	PUNCT
ejpam-4764	412	13	and	and	CCONJ
ejpam-4764	412	14	l	l	NOUN
ejpam-4764	412	15	rajendran	rajendran	NOUN
ejpam-4764	412	16	.	.	PUNCT
ejpam-4764	413	1	mathematical	mathematical	ADJ
ejpam-4764	413	2	models	model	NOUN
ejpam-4764	413	3	of	of	ADP
ejpam-4764	413	4	the	the	DET
ejpam-4764	413	5	infinite	infinite	ADJ
ejpam-4764	413	6	porous	porous	ADJ
ejpam-4764	413	7	rotating	rotating	NOUN
ejpam-4764	413	8	disk	disk	NOUN
ejpam-4764	413	9	electrode	electrode	NOUN
ejpam-4764	413	10	.	.	PUNCT
ejpam-4764	414	1	int	int	NOUN
ejpam-4764	414	2	.	.	PUNCT
ejpam-4764	415	1	j.	j.	PROPN
ejpam-4764	415	2	electrochem	electrochem	PROPN
ejpam-4764	415	3	.	.	PUNCT
ejpam-4764	416	1	sci	sci	PROPN
ejpam-4764	416	2	,	,	PUNCT
ejpam-4764	416	3	13:9999–10022	13:9999–10022	NUM
ejpam-4764	416	4	,	,	PUNCT
ejpam-4764	416	5	2018	2018	NUM
ejpam-4764	416	6	.	.	PUNCT
ejpam-4764	417	1	[	[	X
ejpam-4764	417	2	24	24	NUM
ejpam-4764	417	3	]	]	PUNCT
ejpam-4764	417	4	mahasin	mahasin	NOUN
ejpam-4764	417	5	thabet	thabet	PROPN
ejpam-4764	417	6	younis	younis	PROPN
ejpam-4764	417	7	and	and	CCONJ
ejpam-4764	417	8	waleed	waleed	PROPN
ejpam-4764	417	9	mohammed	mohammed	PROPN
ejpam-4764	417	10	al	al	PROPN
ejpam-4764	417	11	-	-	PUNCT
ejpam-4764	417	12	hayani	hayani	PROPN
ejpam-4764	417	13	.	.	PUNCT
ejpam-4764	418	1	solving	solve	VERB
ejpam-4764	418	2	fuzzy	fuzzy	ADJ
ejpam-4764	418	3	system	system	NOUN
ejpam-4764	418	4	of	of	ADP
ejpam-4764	418	5	volterra	volterra	PROPN
ejpam-4764	418	6	integro	integro	PROPN
ejpam-4764	418	7	-	-	PUNCT
ejpam-4764	418	8	differential	differential	NOUN
ejpam-4764	418	9	equations	equation	NOUN
ejpam-4764	418	10	by	by	ADP
ejpam-4764	418	11	using	use	VERB
ejpam-4764	418	12	adomian	adomian	NOUN
ejpam-4764	418	13	decomposition	decomposition	NOUN
ejpam-4764	418	14	method	method	NOUN
ejpam-4764	418	15	.	.	PUNCT
ejpam-4764	419	1	european	european	PROPN
ejpam-4764	419	2	journal	journal	PROPN
ejpam-4764	419	3	of	of	ADP
ejpam-4764	419	4	pure	pure	ADJ
ejpam-4764	419	5	and	and	CCONJ
ejpam-4764	419	6	applied	applied	ADJ
ejpam-4764	419	7	mathematics	mathematic	NOUN
ejpam-4764	419	8	,	,	PUNCT
ejpam-4764	419	9	15(1):290–313	15(1):290–313	NUM
ejpam-4764	419	10	,	,	PUNCT
ejpam-4764	419	11	2022	2022	NUM
ejpam-4764	419	12	.	.	PUNCT