id	sid	tid	token	lemma	pos
ejpam-3157	1	1	european	european	PROPN
ejpam-3157	1	2	journal	journal	PROPN
ejpam-3157	1	3	of	of	ADP
ejpam-3157	1	4	pure	pure	ADJ
ejpam-3157	1	5	and	and	CCONJ
ejpam-3157	1	6	applied	apply	VERB
ejpam-3157	1	7	mathematics	mathematic	NOUN
ejpam-3157	1	8	vol	vol	NOUN
ejpam-3157	1	9	.	.	PUNCT
ejpam-3157	2	1	11	11	NUM
ejpam-3157	2	2	,	,	PUNCT
ejpam-3157	2	3	no	no	INTJ
ejpam-3157	2	4	.	.	NOUN
ejpam-3157	2	5	1	1	NUM
ejpam-3157	2	6	,	,	PUNCT
ejpam-3157	2	7	2018	2018	NUM
ejpam-3157	2	8	,	,	PUNCT
ejpam-3157	2	9	110	110	NUM
ejpam-3157	2	10	-	-	SYM
ejpam-3157	2	11	137	137	NUM
ejpam-3157	2	12	issn	issn	PROPN
ejpam-3157	2	13	1307	1307	NUM
ejpam-3157	2	14	-	-	SYM
ejpam-3157	2	15	5543	5543	NUM
ejpam-3157	2	16	–	–	PUNCT
ejpam-3157	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3157	2	18	published	publish	VERB
ejpam-3157	2	19	by	by	ADP
ejpam-3157	2	20	new	new	PROPN
ejpam-3157	2	21	york	york	PROPN
ejpam-3157	2	22	business	business	PROPN
ejpam-3157	3	1	global	global	PROPN
ejpam-3157	3	2	a	a	DET
ejpam-3157	3	3	new	new	ADJ
ejpam-3157	3	4	mathematical	mathematical	ADJ
ejpam-3157	3	5	model	model	NOUN
ejpam-3157	3	6	of	of	ADP
ejpam-3157	3	7	heat	heat	NOUN
ejpam-3157	3	8	equations	equation	NOUN
ejpam-3157	3	9	and	and	CCONJ
ejpam-3157	3	10	its	its	PRON
ejpam-3157	3	11	application	application	NOUN
ejpam-3157	3	12	on	on	ADP
ejpam-3157	3	13	the	the	DET
ejpam-3157	3	14	agriculture	agriculture	NOUN
ejpam-3157	3	15	soil	soil	NOUN
ejpam-3157	3	16	ali	ali	PROPN
ejpam-3157	3	17	allahem1,2	allahem1,2	PROPN
ejpam-3157	3	18	,	,	PUNCT
ejpam-3157	3	19	salah	salah	PROPN
ejpam-3157	3	20	boulaaras2,3,∗	boulaaras2,3,∗	PROPN
ejpam-3157	3	21	,	,	PUNCT
ejpam-3157	3	22	khaled	khaled	PROPN
ejpam-3157	3	23	zennir2,4	zennir2,4	PROPN
ejpam-3157	3	24	and	and	CCONJ
ejpam-3157	3	25	mohamed	mohamed	PROPN
ejpam-3157	3	26	haiour5	haiour5	PROPN
ejpam-3157	3	27	1	1	NUM
ejpam-3157	3	28	department	department	NOUN
ejpam-3157	3	29	of	of	ADP
ejpam-3157	3	30	mathematics	mathematic	NOUN
ejpam-3157	3	31	,	,	PUNCT
ejpam-3157	3	32	college	college	NOUN
ejpam-3157	3	33	of	of	ADP
ejpam-3157	3	34	sciences	sciences	PROPN
ejpam-3157	3	35	,	,	PUNCT
ejpam-3157	3	36	qassim	qassim	PROPN
ejpam-3157	3	37	university	university	NOUN
ejpam-3157	3	38	,	,	PUNCT
ejpam-3157	3	39	kingdom	kingdom	NOUN
ejpam-3157	3	40	of	of	ADP
ejpam-3157	3	41	saudi	saudi	PROPN
ejpam-3157	3	42	arabia	arabia	PROPN
ejpam-3157	3	43	2	2	NUM
ejpam-3157	3	44	department	department	NOUN
ejpam-3157	3	45	of	of	ADP
ejpam-3157	3	46	mathematics	mathematic	NOUN
ejpam-3157	3	47	,	,	PUNCT
ejpam-3157	3	48	college	college	NOUN
ejpam-3157	3	49	of	of	ADP
ejpam-3157	3	50	sciences	science	NOUN
ejpam-3157	3	51	and	and	CCONJ
ejpam-3157	3	52	arts	art	NOUN
ejpam-3157	3	53	,	,	PUNCT
ejpam-3157	3	54	al	al	PROPN
ejpam-3157	3	55	-	-	PUNCT
ejpam-3157	3	56	rass	rass	PROPN
ejpam-3157	3	57	,	,	PUNCT
ejpam-3157	3	58	qassim	qassim	PROPN
ejpam-3157	3	59	university	university	NOUN
ejpam-3157	3	60	,	,	PUNCT
ejpam-3157	3	61	kingdom	kingdom	NOUN
ejpam-3157	3	62	of	of	ADP
ejpam-3157	3	63	saudi	saudi	PROPN
ejpam-3157	3	64	arabia	arabia	PROPN
ejpam-3157	3	65	3	3	NUM
ejpam-3157	3	66	laboratory	laboratory	NOUN
ejpam-3157	3	67	of	of	ADP
ejpam-3157	3	68	fundamental	fundamental	ADJ
ejpam-3157	3	69	and	and	CCONJ
ejpam-3157	3	70	applied	applied	ADJ
ejpam-3157	3	71	mathematics	mathematic	NOUN
ejpam-3157	3	72	of	of	ADP
ejpam-3157	3	73	oran	oran	ADJ
ejpam-3157	3	74	(	(	PUNCT
ejpam-3157	3	75	lmfao	lmfao	NOUN
ejpam-3157	3	76	)	)	PUNCT
ejpam-3157	3	77	,	,	PUNCT
ejpam-3157	3	78	university	university	NOUN
ejpam-3157	3	79	of	of	ADP
ejpam-3157	3	80	oran	oran	ADJ
ejpam-3157	3	81	1	1	NUM
ejpam-3157	3	82	,	,	PUNCT
ejpam-3157	3	83	ahmed	ahmed	PROPN
ejpam-3157	3	84	benbella	benbella	PROPN
ejpam-3157	3	85	,	,	PUNCT
ejpam-3157	3	86	algeria	algeria	PROPN
ejpam-3157	3	87	.	.	PUNCT
ejpam-3157	4	1	4	4	NUM
ejpam-3157	4	2	lamahis	lamahis	ADJ
ejpam-3157	4	3	laboratory	laboratory	NOUN
ejpam-3157	4	4	,	,	PUNCT
ejpam-3157	4	5	department	department	NOUN
ejpam-3157	4	6	of	of	ADP
ejpam-3157	4	7	mathematics	mathematics	PROPN
ejpam-3157	4	8	,	,	PUNCT
ejpam-3157	4	9	university	university	NOUN
ejpam-3157	4	10	august	august	PROPN
ejpam-3157	4	11	20	20	NUM
ejpam-3157	4	12	,	,	PUNCT
ejpam-3157	4	13	1955skikda	1955skikda	NUM
ejpam-3157	4	14	,	,	PUNCT
ejpam-3157	4	15	21000	21000	NUM
ejpam-3157	4	16	,	,	PUNCT
ejpam-3157	4	17	algeria	algeria	PROPN
ejpam-3157	4	18	5	5	NUM
ejpam-3157	4	19	department	department	NOUN
ejpam-3157	4	20	of	of	ADP
ejpam-3157	4	21	mathematics	mathematic	NOUN
ejpam-3157	4	22	,	,	PUNCT
ejpam-3157	4	23	faculty	faculty	NOUN
ejpam-3157	4	24	of	of	ADP
ejpam-3157	4	25	sciences	sciences	PROPN
ejpam-3157	4	26	,	,	PUNCT
ejpam-3157	4	27	annaba	annaba	PROPN
ejpam-3157	4	28	university	university	PROPN
ejpam-3157	4	29	,	,	PUNCT
ejpam-3157	4	30	algeria	algeria	PROPN
ejpam-3157	4	31	abstract	abstract	NOUN
ejpam-3157	4	32	.	.	PUNCT
ejpam-3157	5	1	the	the	DET
ejpam-3157	5	2	goal	goal	NOUN
ejpam-3157	5	3	of	of	ADP
ejpam-3157	5	4	this	this	DET
ejpam-3157	5	5	paper	paper	NOUN
ejpam-3157	5	6	is	be	AUX
ejpam-3157	5	7	to	to	PART
ejpam-3157	5	8	provide	provide	VERB
ejpam-3157	5	9	a	a	DET
ejpam-3157	5	10	mathematical	mathematical	ADJ
ejpam-3157	5	11	model	model	NOUN
ejpam-3157	5	12	which	which	PRON
ejpam-3157	5	13	based	base	VERB
ejpam-3157	5	14	on	on	ADP
ejpam-3157	5	15	numerical	numerical	PROPN
ejpam-3157	5	16	simulation	simulation	PROPN
ejpam-3157	5	17	applied	apply	VERB
ejpam-3157	5	18	to	to	ADP
ejpam-3157	5	19	heat	heat	NOUN
ejpam-3157	5	20	equations	equation	NOUN
ejpam-3157	5	21	and	and	CCONJ
ejpam-3157	5	22	comparing	compare	VERB
ejpam-3157	5	23	the	the	DET
ejpam-3157	5	24	obtained	obtain	VERB
ejpam-3157	5	25	results	result	NOUN
ejpam-3157	5	26	with	with	ADP
ejpam-3157	5	27	virtual	virtual	ADJ
ejpam-3157	5	28	temperatures	temperature	NOUN
ejpam-3157	5	29	results	result	VERB
ejpam-3157	5	30	for	for	ADP
ejpam-3157	5	31	different	different	ADJ
ejpam-3157	5	32	depths	depth	NOUN
ejpam-3157	5	33	of	of	ADP
ejpam-3157	5	34	the	the	DET
ejpam-3157	5	35	homogeneous	homogeneous	ADJ
ejpam-3157	5	36	agricultural	agricultural	ADJ
ejpam-3157	5	37	soil	soil	NOUN
ejpam-3157	5	38	.	.	PUNCT
ejpam-3157	6	1	the	the	DET
ejpam-3157	6	2	model	model	NOUN
ejpam-3157	6	3	was	be	AUX
ejpam-3157	6	4	treated	treat	VERB
ejpam-3157	6	5	through	through	ADP
ejpam-3157	6	6	this	this	DET
ejpam-3157	6	7	research	research	NOUN
ejpam-3157	6	8	that	that	PRON
ejpam-3157	6	9	enable	enable	VERB
ejpam-3157	6	10	to	to	PART
ejpam-3157	6	11	know	know	VERB
ejpam-3157	6	12	the	the	DET
ejpam-3157	6	13	degree	degree	NOUN
ejpam-3157	6	14	of	of	ADP
ejpam-3157	6	15	soil	soil	NOUN
ejpam-3157	6	16	temperature	temperature	NOUN
ejpam-3157	6	17	homogeneous	homogeneous	ADJ
ejpam-3157	6	18	without	without	ADP
ejpam-3157	6	19	recourse	recourse	NOUN
ejpam-3157	6	20	to	to	ADP
ejpam-3157	6	21	tools	tool	NOUN
ejpam-3157	6	22	of	of	ADP
ejpam-3157	6	23	measuring	measure	VERB
ejpam-3157	6	24	physical	physical	ADJ
ejpam-3157	6	25	expensive	expensive	ADJ
ejpam-3157	6	26	.	.	PUNCT
ejpam-3157	7	1	the	the	DET
ejpam-3157	7	2	importance	importance	NOUN
ejpam-3157	7	3	of	of	ADP
ejpam-3157	7	4	this	this	PRON
ejpam-3157	7	5	lies	lie	VERB
ejpam-3157	7	6	in	in	ADP
ejpam-3157	7	7	the	the	DET
ejpam-3157	7	8	agricultural	agricultural	ADJ
ejpam-3157	7	9	seed	seed	NOUN
ejpam-3157	7	10	germination	germination	NOUN
ejpam-3157	7	11	at	at	ADP
ejpam-3157	7	12	temperatures	temperature	NOUN
ejpam-3157	7	13	suitable	suitable	ADJ
ejpam-3157	7	14	.	.	PUNCT
ejpam-3157	8	1	2010	2010	NUM
ejpam-3157	8	2	mathematics	mathematic	NOUN
ejpam-3157	8	3	subject	subject	NOUN
ejpam-3157	8	4	classifications	classification	NOUN
ejpam-3157	8	5	:	:	PUNCT
ejpam-3157	8	6	ams	am	NOUN
ejpam-3157	8	7	65n06	65n06	NOUN
ejpam-3157	8	8	,	,	PUNCT
ejpam-3157	8	9	65n12	65n12	NUM
ejpam-3157	8	10	,	,	PUNCT
ejpam-3157	8	11	65f05	65f05	NUM
ejpam-3157	8	12	key	key	ADJ
ejpam-3157	8	13	words	word	NOUN
ejpam-3157	8	14	and	and	CCONJ
ejpam-3157	8	15	phrases	phrase	NOUN
ejpam-3157	8	16	:	:	PUNCT
ejpam-3157	8	17	numerical	numerical	ADJ
ejpam-3157	8	18	model	model	NOUN
ejpam-3157	8	19	,	,	PUNCT
ejpam-3157	8	20	finite	finite	ADJ
ejpam-3157	8	21	elements	element	NOUN
ejpam-3157	8	22	,	,	PUNCT
ejpam-3157	8	23	temperature	temperature	NOUN
ejpam-3157	8	24	fields	field	NOUN
ejpam-3157	8	25	,	,	PUNCT
ejpam-3157	8	26	meteorology	meteorology	NOUN
ejpam-3157	8	27	,	,	PUNCT
ejpam-3157	8	28	heatsoil	heatsoil	NOUN
ejpam-3157	8	29	,	,	PUNCT
ejpam-3157	8	30	agricultural	agricultural	ADJ
ejpam-3157	8	31	1	1	NUM
ejpam-3157	8	32	.	.	PUNCT
ejpam-3157	8	33	introduction	introduction	NOUN
ejpam-3157	8	34	in	in	ADP
ejpam-3157	8	35	the	the	DET
ejpam-3157	8	36	recent	recent	ADJ
ejpam-3157	8	37	years	year	NOUN
ejpam-3157	9	1	,	,	PUNCT
ejpam-3157	9	2	the	the	DET
ejpam-3157	9	3	alternative	alternative	ADJ
ejpam-3157	9	4	methods	method	NOUN
ejpam-3157	9	5	are	be	AUX
ejpam-3157	9	6	used	use	VERB
ejpam-3157	9	7	to	to	PART
ejpam-3157	9	8	speed	speed	VERB
ejpam-3157	9	9	in	in	ADP
ejpam-3157	9	10	solving	solve	VERB
ejpam-3157	9	11	partial	partial	ADJ
ejpam-3157	9	12	differential	differential	ADJ
ejpam-3157	9	13	equations	equation	NOUN
ejpam-3157	9	14	that	that	PRON
ejpam-3157	9	15	have	have	AUX
ejpam-3157	9	16	been	be	AUX
ejpam-3157	9	17	explained	explain	VERB
ejpam-3157	9	18	the	the	DET
ejpam-3157	9	19	natural	natural	ADJ
ejpam-3157	9	20	phenomena	phenomenon	NOUN
ejpam-3157	9	21	,	,	PUNCT
ejpam-3157	9	22	one	one	NUM
ejpam-3157	9	23	of	of	ADP
ejpam-3157	9	24	these	these	DET
ejpam-3157	9	25	methods	method	NOUN
ejpam-3157	9	26	is	be	AUX
ejpam-3157	9	27	the	the	DET
ejpam-3157	9	28	finite	finite	ADJ
ejpam-3157	9	29	element	element	NOUN
ejpam-3157	9	30	method	method	NOUN
ejpam-3157	9	31	.	.	PUNCT
ejpam-3157	10	1	in	in	ADP
ejpam-3157	10	2	this	this	DET
ejpam-3157	10	3	project	project	NOUN
ejpam-3157	10	4	,	,	PUNCT
ejpam-3157	10	5	we	we	PRON
ejpam-3157	10	6	use	use	VERB
ejpam-3157	10	7	the	the	DET
ejpam-3157	10	8	finite	finite	PROPN
ejpam-3157	10	9	element	element	NOUN
ejpam-3157	10	10	method	method	NOUN
ejpam-3157	10	11	which	which	PRON
ejpam-3157	10	12	belong	belong	VERB
ejpam-3157	10	13	to	to	ADP
ejpam-3157	10	14	the	the	DET
ejpam-3157	10	15	family	family	NOUN
ejpam-3157	10	16	in	in	ADP
ejpam-3157	10	17	general	general	ADJ
ejpam-3157	10	18	methods	method	NOUN
ejpam-3157	10	19	of	of	ADP
ejpam-3157	10	20	galerkin	galerkin	ADJ
ejpam-3157	10	21	.	.	PUNCT
ejpam-3157	11	1	these	these	PRON
ejpam-3157	11	2	are	be	AUX
ejpam-3157	11	3	used	use	VERB
ejpam-3157	11	4	instead	instead	ADV
ejpam-3157	11	5	of	of	ADP
ejpam-3157	11	6	the	the	DET
ejpam-3157	11	7	style	style	NOUN
ejpam-3157	11	8	differences	difference	NOUN
ejpam-3157	11	9	limited	limit	VERB
ejpam-3157	11	10	(	(	PUNCT
ejpam-3157	11	11	considered	consider	VERB
ejpam-3157	11	12	simplistic	simplistic	ADJ
ejpam-3157	11	13	)	)	PUNCT
ejpam-3157	11	14	to	to	PART
ejpam-3157	11	15	resolve	resolve	VERB
ejpam-3157	11	16	the	the	DET
ejpam-3157	11	17	horizontal	horizontal	ADJ
ejpam-3157	11	18	and	and	CCONJ
ejpam-3157	11	19	vertical	vertical	ADJ
ejpam-3157	11	20	fields	field	NOUN
ejpam-3157	11	21	in	in	ADP
ejpam-3157	11	22	numerical	numerical	ADJ
ejpam-3157	11	23	model	model	PROPN
ejpam-3157	11	24	.	.	PUNCT
ejpam-3157	12	1	galerkin	galerkin	PROPN
ejpam-3157	12	2	methods	method	NOUN
ejpam-3157	12	3	can	can	AUX
ejpam-3157	12	4	be	be	AUX
ejpam-3157	12	5	used	use	VERB
ejpam-3157	12	6	in	in	ADP
ejpam-3157	12	7	solving	solve	VERB
ejpam-3157	12	8	systems	system	NOUN
ejpam-3157	12	9	of	of	ADP
ejpam-3157	12	10	partial	partial	ADJ
ejpam-3157	12	11	differential	differential	ADJ
ejpam-3157	12	12	equations	equation	NOUN
ejpam-3157	12	13	fixed	fix	VERB
ejpam-3157	12	14	and	and	CCONJ
ejpam-3157	12	15	the	the	DET
ejpam-3157	12	16	problems	problem	NOUN
ejpam-3157	12	17	of	of	ADP
ejpam-3157	12	18	border	border	NOUN
ejpam-3157	12	19	free	free	ADJ
ejpam-3157	12	20	evolutionary	evolutionary	ADJ
ejpam-3157	12	21	(	(	PUNCT
ejpam-3157	12	22	see	see	VERB
ejpam-3157	12	23	reference	reference	NOUN
ejpam-3157	12	24	[	[	X
ejpam-3157	12	25	1	1	NUM
ejpam-3157	12	26	]	]	PUNCT
ejpam-3157	12	27	,	,	PUNCT
ejpam-3157	12	28	[	[	X
ejpam-3157	12	29	2	2	NUM
ejpam-3157	12	30	]	]	PUNCT
ejpam-3157	12	31	,	,	PUNCT
ejpam-3157	12	32	[	[	X
ejpam-3157	12	33	5	5	NUM
ejpam-3157	12	34	]	]	PUNCT
ejpam-3157	12	35	,	,	PUNCT
ejpam-3157	12	36	∗corresponding	∗corresponde	VERB
ejpam-3157	12	37	author	author	NOUN
ejpam-3157	12	38	.	.	PUNCT
ejpam-3157	13	1	email	email	NOUN
ejpam-3157	13	2	addresses	address	NOUN
ejpam-3157	13	3	:	:	PUNCT
ejpam-3157	13	4	a.allahem@qu.edu.sa	a.allahem@qu.edu.sa	PROPN
ejpam-3157	13	5	(	(	PUNCT
ejpam-3157	13	6	a.	a.	NOUN
ejpam-3157	13	7	allahem	allahem	PROPN
ejpam-3157	13	8	)	)	PUNCT
ejpam-3157	13	9	,	,	PUNCT
ejpam-3157	13	10	saleh	saleh	PROPN
ejpam-3157	13	11	boulaares@yahoo.fr	boulaares@yahoo.fr	PROPN
ejpam-3157	13	12	or	or	CCONJ
ejpam-3157	13	13	s.boularas@qu.edu.sa	s.boularas@qu.edu.sa	PROPN
ejpam-3157	13	14	(	(	PUNCT
ejpam-3157	13	15	s.	s.	PROPN
ejpam-3157	13	16	boulaaras	boulaaras	PROPN
ejpam-3157	13	17	)	)	PUNCT
ejpam-3157	13	18	,	,	PUNCT
ejpam-3157	13	19	khaledzennir2@yahoo.com	khaledzennir2@yahoo.com	X
ejpam-3157	13	20	or	or	CCONJ
ejpam-3157	13	21	k.zennir@qu.edu.sa	k.zennir@qu.edu.sa	PROPN
ejpam-3157	13	22	(	(	PUNCT
ejpam-3157	13	23	kh	kh	PROPN
ejpam-3157	13	24	.	.	PROPN
ejpam-3157	13	25	zennir	zennir	PROPN
ejpam-3157	13	26	)	)	PUNCT
ejpam-3157	13	27	,	,	PUNCT
ejpam-3157	13	28	haiourm@yahoo.fr	haiourm@yahoo.fr	PROPN
ejpam-3157	13	29	(	(	PUNCT
ejpam-3157	13	30	m.	m.	NOUN
ejpam-3157	13	31	haiour	haiour	PROPN
ejpam-3157	13	32	)	)	PUNCT
ejpam-3157	13	33	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3157	14	1	110	110	NUM
ejpam-3157	14	2	c	c	X
ejpam-3157	14	3	©	©	PROPN
ejpam-3157	14	4	2018	2018	NUM
ejpam-3157	14	5	ejpam	ejpam	VERB
ejpam-3157	14	6	all	all	DET
ejpam-3157	14	7	rights	right	NOUN
ejpam-3157	14	8	reserved	reserve	VERB
ejpam-3157	14	9	.	.	PUNCT
ejpam-3157	15	1	a.	a.	PROPN
ejpam-3157	15	2	allahem	allahem	PROPN
ejpam-3157	15	3	,	,	PUNCT
ejpam-3157	15	4	s.boulaaras	s.boulaara	NOUN
ejpam-3157	15	5	,	,	PUNCT
ejpam-3157	15	6	k.	k.	PROPN
ejpam-3157	15	7	zennir	zennir	PROPN
ejpam-3157	15	8	and	and	CCONJ
ejpam-3157	15	9	m.	m.	PROPN
ejpam-3157	15	10	haiour	haiour	PROPN
ejpam-3157	15	11	/	/	SYM
ejpam-3157	15	12	eur	eur	PROPN
ejpam-3157	15	13	.	.	PUNCT
ejpam-3157	16	1	j.	j.	PROPN
ejpam-3157	16	2	pure	pure	PROPN
ejpam-3157	16	3	appl	appl	PROPN
ejpam-3157	16	4	.	.	PROPN
ejpam-3157	16	5	math	math	PROPN
ejpam-3157	16	6	,	,	PUNCT
ejpam-3157	16	7	11	11	NUM
ejpam-3157	16	8	(	(	PUNCT
ejpam-3157	16	9	1	1	NUM
ejpam-3157	16	10	)	)	PUNCT
ejpam-3157	16	11	(	(	PUNCT
ejpam-3157	16	12	2018	2018	NUM
ejpam-3157	16	13	)	)	PUNCT
ejpam-3157	16	14	,	,	PUNCT
ejpam-3157	16	15	110	110	NUM
ejpam-3157	16	16	-	-	SYM
ejpam-3157	16	17	137	137	NUM
ejpam-3157	16	18	111	111	NUM
ejpam-3157	17	1	[	[	X
ejpam-3157	17	2	6	6	NUM
ejpam-3157	17	3	]	]	PUNCT
ejpam-3157	17	4	,	,	PUNCT
ejpam-3157	18	1	[	[	X
ejpam-3157	18	2	7	7	NUM
ejpam-3157	18	3	]	]	PUNCT
ejpam-3157	18	4	,	,	PUNCT
ejpam-3157	19	1	[	[	X
ejpam-3157	19	2	12	12	NUM
ejpam-3157	19	3	]	]	PUNCT
ejpam-3157	19	4	,	,	PUNCT
ejpam-3157	19	5	[	[	X
ejpam-3157	19	6	13	13	NUM
ejpam-3157	19	7	]	]	PUNCT
ejpam-3157	19	8	and	and	CCONJ
ejpam-3157	19	9	[	[	X
ejpam-3157	19	10	7	7	NUM
ejpam-3157	19	11	]	]	PUNCT
ejpam-3157	19	12	)	)	PUNCT
ejpam-3157	19	13	do	do	AUX
ejpam-3157	19	14	not	not	PART
ejpam-3157	19	15	use	use	VERB
ejpam-3157	19	16	this	this	DET
ejpam-3157	19	17	method	method	NOUN
ejpam-3157	19	18	directly	directly	ADV
ejpam-3157	19	19	in	in	ADP
ejpam-3157	19	20	the	the	DET
ejpam-3157	19	21	field	field	NOUN
ejpam-3157	19	22	of	of	ADP
ejpam-3157	19	23	values	value	NOUN
ejpam-3157	19	24	at	at	ADP
ejpam-3157	19	25	grid	grid	NOUN
ejpam-3157	19	26	points	point	NOUN
ejpam-3157	19	27	after	after	ADP
ejpam-3157	19	28	the	the	DET
ejpam-3157	19	29	partition	partition	NOUN
ejpam-3157	19	30	of	of	ADP
ejpam-3157	19	31	scale	scale	NOUN
ejpam-3157	19	32	,	,	PUNCT
ejpam-3157	19	33	so	so	SCONJ
ejpam-3157	19	34	as	as	SCONJ
ejpam-3157	19	35	to	to	PART
ejpam-3157	19	36	improve	improve	VERB
ejpam-3157	19	37	the	the	DET
ejpam-3157	19	38	accuracy	accuracy	NOUN
ejpam-3157	19	39	of	of	ADP
ejpam-3157	19	40	ordinary	ordinary	ADJ
ejpam-3157	19	41	differential	differential	ADJ
ejpam-3157	19	42	equations	equation	NOUN
ejpam-3157	19	43	systems	system	NOUN
ejpam-3157	19	44	solutions	solution	NOUN
ejpam-3157	19	45	.	.	PUNCT
ejpam-3157	20	1	there	there	PRON
ejpam-3157	20	2	are	be	VERB
ejpam-3157	20	3	two	two	NUM
ejpam-3157	20	4	methods	method	NOUN
ejpam-3157	20	5	in	in	ADP
ejpam-3157	20	6	this	this	DET
ejpam-3157	20	7	process	process	NOUN
ejpam-3157	20	8	:	:	PUNCT
ejpam-3157	20	9	the	the	DET
ejpam-3157	20	10	specific	specific	ADJ
ejpam-3157	20	11	elements	element	NOUN
ejpam-3157	20	12	of	of	ADP
ejpam-3157	20	13	the	the	DET
ejpam-3157	20	14	functions	function	NOUN
ejpam-3157	20	15	of	of	ADP
ejpam-3157	20	16	the	the	DET
ejpam-3157	20	17	zero	zero	NUM
ejpam-3157	20	18	-	-	PUNCT
ejpam-3157	20	19	way	way	NOUN
ejpam-3157	20	20	,	,	PUNCT
ejpam-3157	20	21	and	and	CCONJ
ejpam-3157	20	22	the	the	DET
ejpam-3157	20	23	way	way	NOUN
ejpam-3157	20	24	spectral	spectral	ADJ
ejpam-3157	20	25	.	.	PUNCT
ejpam-3157	21	1	finite	finite	PROPN
ejpam-3157	21	2	element	element	NOUN
ejpam-3157	21	3	method	method	NOUN
ejpam-3157	21	4	is	be	AUX
ejpam-3157	21	5	one	one	NUM
ejpam-3157	21	6	of	of	ADP
ejpam-3157	21	7	the	the	DET
ejpam-3157	21	8	ways	way	NOUN
ejpam-3157	21	9	of	of	ADP
ejpam-3157	21	10	applied	apply	VERB
ejpam-3157	21	11	mathematics	mathematic	NOUN
ejpam-3157	21	12	.	.	PUNCT
ejpam-3157	22	1	and	and	CCONJ
ejpam-3157	22	2	we	we	PRON
ejpam-3157	22	3	put	put	VERB
ejpam-3157	22	4	it	it	PRON
ejpam-3157	22	5	in	in	ADP
ejpam-3157	22	6	space	space	NOUN
ejpam-3157	22	7	,	,	PUNCT
ejpam-3157	22	8	using	use	VERB
ejpam-3157	22	9	the	the	DET
ejpam-3157	22	10	principles	principle	NOUN
ejpam-3157	22	11	inherited	inherit	VERB
ejpam-3157	22	12	from	from	ADP
ejpam-3157	22	13	the	the	DET
ejpam-3157	22	14	transformative	transformative	ADJ
ejpam-3157	22	15	formulation	formulation	NOUN
ejpam-3157	22	16	or	or	CCONJ
ejpam-3157	22	17	weak	weak	ADJ
ejpam-3157	22	18	wording	wording	NOUN
ejpam-3157	22	19	,	,	PUNCT
ejpam-3157	22	20	separate	separate	ADJ
ejpam-3157	22	21	mathematical	mathematical	ADJ
ejpam-3157	22	22	algorithm	algorithm	NOUN
ejpam-3157	22	23	to	to	PART
ejpam-3157	22	24	find	find	VERB
ejpam-3157	22	25	approximate	approximate	ADJ
ejpam-3157	22	26	solution	solution	NOUN
ejpam-3157	22	27	to	to	ADP
ejpam-3157	22	28	the	the	DET
ejpam-3157	22	29	problem	problem	NOUN
ejpam-3157	22	30	of	of	ADP
ejpam-3157	22	31	free	free	ADJ
ejpam-3157	22	32	boundary	boundary	NOUN
ejpam-3157	22	33	(	(	PUNCT
ejpam-3157	22	34	see	see	VERB
ejpam-3157	22	35	[	[	X
ejpam-3157	22	36	3	3	NUM
ejpam-3157	22	37	]	]	PUNCT
ejpam-3157	22	38	,	,	PUNCT
ejpam-3157	22	39	[	[	X
ejpam-3157	22	40	4	4	X
ejpam-3157	22	41	]	]	PUNCT
ejpam-3157	22	42	and	and	CCONJ
ejpam-3157	22	43	[	[	X
ejpam-3157	22	44	14	14	NUM
ejpam-3157	22	45	]	]	NUM
ejpam-3157	22	46	)	)	PUNCT
ejpam-3157	22	47	.	.	PUNCT
ejpam-3157	23	1	it	it	PRON
ejpam-3157	23	2	is	be	AUX
ejpam-3157	23	3	said	say	VERB
ejpam-3157	23	4	dirichlet	dirichlet	PROPN
ejpam-3157	23	5	conditions	condition	NOUN
ejpam-3157	23	6	or	or	CCONJ
ejpam-3157	23	7	neumann	neumann	PROPN
ejpam-3157	23	8	data	data	PROPN
ejpam-3157	23	9	.	.	PUNCT
ejpam-3157	24	1	finite	finite	PROPN
ejpam-3157	24	2	element	element	PROPN
ejpam-3157	24	3	method	method	PROPN
ejpam-3157	24	4	differs	differ	VERB
ejpam-3157	24	5	from	from	ADP
ejpam-3157	24	6	the	the	DET
ejpam-3157	24	7	spectral	spectral	ADJ
ejpam-3157	24	8	method	method	NOUN
ejpam-3157	24	9	because	because	SCONJ
ejpam-3157	24	10	it	it	PRON
ejpam-3157	24	11	is	be	AUX
ejpam-3157	24	12	not	not	PART
ejpam-3157	24	13	exhaustive	exhaustive	ADJ
ejpam-3157	24	14	,	,	PUNCT
ejpam-3157	24	15	but	but	CCONJ
ejpam-3157	24	16	rather	rather	ADV
ejpam-3157	24	17	to	to	PART
ejpam-3157	24	18	determine	determine	VERB
ejpam-3157	24	19	local	local	ADJ
ejpam-3157	24	20	values	value	NOUN
ejpam-3157	24	21	.	.	PUNCT
ejpam-3157	25	1	however	however	ADV
ejpam-3157	25	2	,	,	PUNCT
ejpam-3157	25	3	it	it	PRON
ejpam-3157	25	4	is	be	AUX
ejpam-3157	25	5	a	a	DET
ejpam-3157	25	6	rough	rough	ADJ
ejpam-3157	25	7	distinct	distinct	ADJ
ejpam-3157	25	8	function	function	NOUN
ejpam-3157	25	9	defined	define	VERB
ejpam-3157	25	10	on	on	ADP
ejpam-3157	25	11	the	the	DET
ejpam-3157	25	12	whole	whole	ADJ
ejpam-3157	25	13	region	region	NOUN
ejpam-3157	25	14	and	and	CCONJ
ejpam-3157	25	15	not	not	PART
ejpam-3157	25	16	just	just	ADV
ejpam-3157	25	17	separate	separate	ADJ
ejpam-3157	25	18	points	point	NOUN
ejpam-3157	25	19	(	(	PUNCT
ejpam-3157	25	20	see	see	VERB
ejpam-3157	25	21	[	[	X
ejpam-3157	25	22	8	8	NUM
ejpam-3157	25	23	]	]	PUNCT
ejpam-3157	25	24	and	and	CCONJ
ejpam-3157	25	25	[	[	X
ejpam-3157	25	26	10	10	NUM
ejpam-3157	25	27	]	]	NUM
ejpam-3157	25	28	)	)	PUNCT
ejpam-3157	25	29	.	.	PUNCT
ejpam-3157	26	1	the	the	DET
ejpam-3157	26	2	techniques	technique	NOUN
ejpam-3157	26	3	used	use	VERB
ejpam-3157	26	4	can	can	AUX
ejpam-3157	26	5	solve	solve	VERB
ejpam-3157	26	6	with	with	ADP
ejpam-3157	26	7	numerical	numerical	ADJ
ejpam-3157	26	8	methods	method	NOUN
ejpam-3157	26	9	,	,	PUNCT
ejpam-3157	26	10	the	the	DET
ejpam-3157	26	11	equations	equation	NOUN
ejpam-3157	26	12	describing	describe	VERB
ejpam-3157	26	13	the	the	DET
ejpam-3157	26	14	behavior	behavior	NOUN
ejpam-3157	26	15	of	of	ADP
ejpam-3157	26	16	the	the	DET
ejpam-3157	26	17	atmosphere	atmosphere	NOUN
ejpam-3157	26	18	[	[	X
ejpam-3157	26	19	16	16	NUM
ejpam-3157	26	20	]	]	PUNCT
ejpam-3157	26	21	and	and	CCONJ
ejpam-3157	26	22	[	[	X
ejpam-3157	26	23	13	13	NUM
ejpam-3157	26	24	]	]	PUNCT
ejpam-3157	26	25	,	,	PUNCT
ejpam-3157	26	26	that	that	PRON
ejpam-3157	26	27	is	be	AUX
ejpam-3157	26	28	to	to	PART
ejpam-3157	26	29	say	say	VERB
ejpam-3157	26	30	to	to	PART
ejpam-3157	26	31	determine	determine	VERB
ejpam-3157	26	32	future	future	ADJ
ejpam-3157	26	33	values	value	NOUN
ejpam-3157	26	34	of	of	ADP
ejpam-3157	26	35	its	its	PRON
ejpam-3157	26	36	parameters	parameter	NOUN
ejpam-3157	26	37	characteristics	characteristic	NOUN
ejpam-3157	26	38	starting	start	VERB
ejpam-3157	26	39	from	from	ADP
ejpam-3157	26	40	known	know	VERB
ejpam-3157	26	41	initial	initial	ADJ
ejpam-3157	26	42	values	value	NOUN
ejpam-3157	26	43	through	through	ADP
ejpam-3157	26	44	meteorological	meteorological	ADJ
ejpam-3157	26	45	observations	observation	NOUN
ejpam-3157	27	1	[	[	X
ejpam-3157	27	2	9	9	NUM
ejpam-3157	27	3	]	]	PUNCT
ejpam-3157	27	4	,	,	PUNCT
ejpam-3157	28	1	[	[	X
ejpam-3157	28	2	11	11	NUM
ejpam-3157	28	3	]	]	PUNCT
ejpam-3157	28	4	,	,	PUNCT
ejpam-3157	28	5	[	[	X
ejpam-3157	28	6	18	18	NUM
ejpam-3157	28	7	]	]	PUNCT
ejpam-3157	28	8	and	and	CCONJ
ejpam-3157	28	9	[	[	X
ejpam-3157	28	10	15	15	NUM
ejpam-3157	28	11	]	]	PUNCT
ejpam-3157	28	12	.	.	PUNCT
ejpam-3157	29	1	the	the	DET
ejpam-3157	29	2	use	use	NOUN
ejpam-3157	29	3	of	of	ADP
ejpam-3157	29	4	numerical	numerical	ADJ
ejpam-3157	29	5	computation	computation	NOUN
ejpam-3157	29	6	is	be	AUX
ejpam-3157	29	7	required	require	VERB
ejpam-3157	29	8	to	to	PART
ejpam-3157	29	9	solve	solve	VERB
ejpam-3157	29	10	these	these	DET
ejpam-3157	29	11	systems	system	NOUN
ejpam-3157	29	12	of	of	ADP
ejpam-3157	29	13	nonlinear	nonlinear	ADJ
ejpam-3157	29	14	equations	equation	NOUN
ejpam-3157	29	15	whose	whose	DET
ejpam-3157	29	16	solutions	solution	NOUN
ejpam-3157	29	17	can	can	AUX
ejpam-3157	29	18	not	not	PART
ejpam-3157	29	19	be	be	AUX
ejpam-3157	29	20	determined	determine	VERB
ejpam-3157	29	21	analytically	analytically	ADV
ejpam-3157	29	22	in	in	ADP
ejpam-3157	29	23	the	the	DET
ejpam-3157	29	24	general	general	ADJ
ejpam-3157	29	25	case	case	NOUN
ejpam-3157	29	26	.	.	PUNCT
ejpam-3157	30	1	the	the	DET
ejpam-3157	30	2	construction	construction	NOUN
ejpam-3157	30	3	of	of	ADP
ejpam-3157	30	4	a	a	DET
ejpam-3157	30	5	numerical	numerical	ADJ
ejpam-3157	30	6	model	model	NOUN
ejpam-3157	30	7	of	of	ADP
ejpam-3157	30	8	the	the	DET
ejpam-3157	30	9	atmosphere	atmosphere	NOUN
ejpam-3157	30	10	consists	consist	VERB
ejpam-3157	30	11	of	of	ADP
ejpam-3157	30	12	two	two	NUM
ejpam-3157	30	13	distinct	distinct	ADJ
ejpam-3157	30	14	stages	stage	NOUN
ejpam-3157	30	15	:	:	PUNCT
ejpam-3157	30	16	the	the	DET
ejpam-3157	30	17	first	first	ADJ
ejpam-3157	30	18	is	be	AUX
ejpam-3157	30	19	to	to	PART
ejpam-3157	30	20	establish	establish	VERB
ejpam-3157	30	21	a	a	DET
ejpam-3157	30	22	system	system	NOUN
ejpam-3157	30	23	of	of	ADP
ejpam-3157	30	24	equations	equation	NOUN
ejpam-3157	30	25	governing	govern	VERB
ejpam-3157	30	26	the	the	DET
ejpam-3157	30	27	behavior	behavior	NOUN
ejpam-3157	30	28	of	of	ADP
ejpam-3157	30	29	continuous	continuous	ADJ
ejpam-3157	30	30	atmosphere	atmosphere	NOUN
ejpam-3157	30	31	that	that	PRON
ejpam-3157	30	32	called	call	VERB
ejpam-3157	30	33	the	the	DET
ejpam-3157	30	34	second	second	ADJ
ejpam-3157	30	35	scan	scan	NOUN
ejpam-3157	30	36	is	be	AUX
ejpam-3157	30	37	to	to	PART
ejpam-3157	30	38	replace	replace	VERB
ejpam-3157	30	39	the	the	DET
ejpam-3157	30	40	equations	equation	NOUN
ejpam-3157	30	41	on	on	ADP
ejpam-3157	30	42	continuous	continuous	ADJ
ejpam-3157	30	43	variables	variable	NOUN
ejpam-3157	30	44	by	by	ADP
ejpam-3157	30	45	equations	equation	NOUN
ejpam-3157	30	46	involving	involve	VERB
ejpam-3157	30	47	discrete	discrete	ADJ
ejpam-3157	30	48	variable	variable	NOUN
ejpam-3157	30	49	whose	whose	DET
ejpam-3157	30	50	solutions	solution	NOUN
ejpam-3157	30	51	are	be	AUX
ejpam-3157	30	52	obtained	obtain	VERB
ejpam-3157	30	53	by	by	ADP
ejpam-3157	30	54	means	mean	NOUN
ejpam-3157	30	55	of	of	ADP
ejpam-3157	30	56	a	a	DET
ejpam-3157	30	57	suitable	suitable	ADJ
ejpam-3157	30	58	algorithm	algorithm	NOUN
ejpam-3157	30	59	.	.	PUNCT
ejpam-3157	31	1	the	the	DET
ejpam-3157	31	2	results	result	NOUN
ejpam-3157	31	3	of	of	ADP
ejpam-3157	31	4	a	a	DET
ejpam-3157	31	5	numerical	numerical	ADJ
ejpam-3157	31	6	weather	weather	NOUN
ejpam-3157	31	7	prediction	prediction	NOUN
ejpam-3157	31	8	,	,	PUNCT
ejpam-3157	31	9	solutions	solution	NOUN
ejpam-3157	31	10	of	of	ADP
ejpam-3157	31	11	discretized	discretized	ADJ
ejpam-3157	31	12	equations	equation	NOUN
ejpam-3157	31	13	of	of	ADP
ejpam-3157	31	14	dynamic	dynamic	ADJ
ejpam-3157	31	15	meteorology	meteorology	NOUN
ejpam-3157	31	16	,	,	PUNCT
ejpam-3157	31	17	therefore	therefore	ADV
ejpam-3157	31	18	depend	depend	VERB
ejpam-3157	31	19	on	on	ADP
ejpam-3157	31	20	the	the	DET
ejpam-3157	31	21	adopted	adopt	VERB
ejpam-3157	31	22	scanning	scanning	NOUN
ejpam-3157	31	23	.	.	PUNCT
ejpam-3157	32	1	in	in	ADP
ejpam-3157	32	2	the	the	DET
ejpam-3157	32	3	late	late	ADJ
ejpam-3157	32	4	’	'	PUNCT
ejpam-3157	32	5	40s	40	NOUN
ejpam-3157	32	6	methods	method	NOUN
ejpam-3157	32	7	of	of	ADP
ejpam-3157	32	8	grid	grid	NOUN
ejpam-3157	32	9	points	point	NOUN
ejpam-3157	32	10	were	be	AUX
ejpam-3157	32	11	used	use	VERB
ejpam-3157	32	12	to	to	PART
ejpam-3157	32	13	model	model	VERB
ejpam-3157	32	14	the	the	DET
ejpam-3157	32	15	universally	universally	ADV
ejpam-3157	32	16	large	large	ADJ
ejpam-3157	32	17	-	-	PUNCT
ejpam-3157	32	18	scale	scale	NOUN
ejpam-3157	32	19	atmospheric	atmospheric	ADJ
ejpam-3157	32	20	flow	flow	NOUN
ejpam-3157	32	21	.	.	PUNCT
ejpam-3157	33	1	during	during	ADP
ejpam-3157	33	2	recent	recent	ADJ
ejpam-3157	33	3	years	year	NOUN
ejpam-3157	33	4	(	(	PUNCT
ejpam-3157	33	5	[	[	X
ejpam-3157	33	6	12	12	NUM
ejpam-3157	33	7	]	]	PUNCT
ejpam-3157	33	8	,	,	PUNCT
ejpam-3157	33	9	[	[	X
ejpam-3157	33	10	19	19	NUM
ejpam-3157	33	11	]	]	PUNCT
ejpam-3157	33	12	and	and	CCONJ
ejpam-3157	33	13	[	[	X
ejpam-3157	33	14	20	20	NUM
ejpam-3157	33	15	]	]	NUM
ejpam-3157	33	16	)	)	PUNCT
ejpam-3157	33	17	,	,	PUNCT
ejpam-3157	33	18	alternative	alternative	ADJ
ejpam-3157	33	19	methods	method	NOUN
ejpam-3157	33	20	have	have	AUX
ejpam-3157	33	21	been	be	AUX
ejpam-3157	33	22	used	use	VERB
ejpam-3157	33	23	,	,	PUNCT
ejpam-3157	33	24	one	one	NUM
ejpam-3157	33	25	of	of	ADP
ejpam-3157	33	26	these	these	DET
ejpam-3157	33	27	methods	method	NOUN
ejpam-3157	33	28	is	be	AUX
ejpam-3157	33	29	the	the	DET
ejpam-3157	33	30	finite	finite	ADJ
ejpam-3157	33	31	element	element	NOUN
ejpam-3157	33	32	method	method	NOUN
ejpam-3157	33	33	.	.	PUNCT
ejpam-3157	34	1	we	we	PRON
ejpam-3157	34	2	present	present	VERB
ejpam-3157	34	3	here	here	ADV
ejpam-3157	34	4	the	the	DET
ejpam-3157	34	5	main	main	ADJ
ejpam-3157	34	6	tools	tool	NOUN
ejpam-3157	34	7	for	for	ADP
ejpam-3157	34	8	implementations	implementation	NOUN
ejpam-3157	34	9	of	of	ADP
ejpam-3157	34	10	the	the	DET
ejpam-3157	34	11	finite	finite	PROPN
ejpam-3157	34	12	element	element	NOUN
ejpam-3157	34	13	method	method	NOUN
ejpam-3157	34	14	which	which	PRON
ejpam-3157	34	15	belongs	belong	VERB
ejpam-3157	34	16	to	to	ADP
ejpam-3157	34	17	the	the	DET
ejpam-3157	34	18	more	more	ADV
ejpam-3157	34	19	general	general	ADJ
ejpam-3157	34	20	family	family	NOUN
ejpam-3157	34	21	of	of	ADP
ejpam-3157	34	22	galerkin	galerkin	ADJ
ejpam-3157	34	23	methods	method	NOUN
ejpam-3157	34	24	.	.	PUNCT
ejpam-3157	35	1	these	these	PRON
ejpam-3157	35	2	are	be	AUX
ejpam-3157	35	3	commonly	commonly	ADV
ejpam-3157	35	4	used	use	VERB
ejpam-3157	35	5	instead	instead	ADV
ejpam-3157	35	6	of	of	ADP
ejpam-3157	35	7	the	the	DET
ejpam-3157	35	8	finite	finite	ADJ
ejpam-3157	35	9	difference	difference	NOUN
ejpam-3157	35	10	method	method	NOUN
ejpam-3157	35	11	to	to	PART
ejpam-3157	35	12	treat	treat	VERB
ejpam-3157	35	13	the	the	DET
ejpam-3157	35	14	horizontal	horizontal	ADJ
ejpam-3157	35	15	and	and	CCONJ
ejpam-3157	35	16	vertical	vertical	ADJ
ejpam-3157	35	17	fields	field	NOUN
ejpam-3157	35	18	in	in	ADP
ejpam-3157	35	19	weather	weather	NOUN
ejpam-3157	35	20	prediction	prediction	NOUN
ejpam-3157	35	21	models	model	NOUN
ejpam-3157	35	22	.	.	PUNCT
ejpam-3157	36	1	galerkin	galerkin	ADJ
ejpam-3157	36	2	methods	method	NOUN
ejpam-3157	36	3	,	,	PUNCT
ejpam-3157	36	4	which	which	PRON
ejpam-3157	36	5	can	can	AUX
ejpam-3157	36	6	solve	solve	VERB
ejpam-3157	36	7	numerically	numerically	ADV
ejpam-3157	36	8	systems	system	NOUN
ejpam-3157	36	9	of	of	ADP
ejpam-3157	36	10	partial	partial	ADJ
ejpam-3157	36	11	differential	differential	NOUN
ejpam-3157	36	12	equations	equation	NOUN
ejpam-3157	36	13	,	,	PUNCT
ejpam-3157	36	14	do	do	AUX
ejpam-3157	36	15	not	not	PART
ejpam-3157	36	16	directly	directly	ADV
ejpam-3157	36	17	use	use	VERB
ejpam-3157	36	18	the	the	DET
ejpam-3157	36	19	field	field	NOUN
ejpam-3157	36	20	values	value	NOUN
ejpam-3157	36	21	at	at	ADP
ejpam-3157	36	22	the	the	DET
ejpam-3157	36	23	points	point	NOUN
ejpam-3157	36	24	of	of	ADP
ejpam-3157	36	25	a	a	DET
ejpam-3157	36	26	grid	grid	NOUN
ejpam-3157	36	27	,	,	PUNCT
ejpam-3157	36	28	but	but	CCONJ
ejpam-3157	36	29	use	use	VERB
ejpam-3157	36	30	series	series	NOUN
ejpam-3157	36	31	expansions	expansion	NOUN
ejpam-3157	36	32	of	of	ADP
ejpam-3157	36	33	functions	function	NOUN
ejpam-3157	36	34	suitably	suitably	ADV
ejpam-3157	36	35	chosen	choose	VERB
ejpam-3157	36	36	so	so	ADV
ejpam-3157	36	37	to	to	PART
ejpam-3157	36	38	be	be	AUX
ejpam-3157	36	39	reduced	reduce	VERB
ejpam-3157	36	40	to	to	ADP
ejpam-3157	36	41	the	the	DET
ejpam-3157	36	42	solution	solution	NOUN
ejpam-3157	36	43	of	of	ADP
ejpam-3157	36	44	a	a	DET
ejpam-3157	36	45	system	system	NOUN
ejpam-3157	36	46	of	of	ADP
ejpam-3157	36	47	ordinary	ordinary	ADJ
ejpam-3157	36	48	differential	differential	ADJ
ejpam-3157	36	49	equations	equation	NOUN
ejpam-3157	36	50	.	.	PUNCT
ejpam-3157	37	1	there	there	PRON
ejpam-3157	37	2	are	be	VERB
ejpam-3157	37	3	two	two	NUM
ejpam-3157	37	4	types	type	NOUN
ejpam-3157	37	5	of	of	ADP
ejpam-3157	37	6	methods	method	NOUN
ejpam-3157	37	7	within	within	ADP
ejpam-3157	37	8	this	this	DET
ejpam-3157	37	9	process	process	NOUN
ejpam-3157	37	10	:	:	PUNCT
ejpam-3157	37	11	the	the	DET
ejpam-3157	37	12	finite	finite	ADJ
ejpam-3157	37	13	element	element	NOUN
ejpam-3157	37	14	method	method	NOUN
ejpam-3157	37	15	for	for	ADP
ejpam-3157	37	16	which	which	PRON
ejpam-3157	37	17	the	the	DET
ejpam-3157	37	18	functions	function	NOUN
ejpam-3157	37	19	are	be	AUX
ejpam-3157	37	20	zero	zero	NUM
ejpam-3157	37	21	,	,	PUNCT
ejpam-3157	37	22	except	except	SCONJ
ejpam-3157	37	23	for	for	ADP
ejpam-3157	37	24	a	a	DET
ejpam-3157	37	25	small	small	ADJ
ejpam-3157	37	26	area	area	NOUN
ejpam-3157	37	27	or	or	CCONJ
ejpam-3157	37	28	they	they	PRON
ejpam-3157	37	29	are	be	AUX
ejpam-3157	37	30	equal	equal	ADJ
ejpam-3157	37	31	to	to	ADP
ejpam-3157	37	32	the	the	DET
ejpam-3157	37	33	low	low	ADJ
ejpam-3157	37	34	-	-	PUNCT
ejpam-3157	37	35	order	order	NOUN
ejpam-3157	37	36	polynomials	polynomial	NOUN
ejpam-3157	37	37	,	,	PUNCT
ejpam-3157	37	38	and	and	CCONJ
ejpam-3157	37	39	the	the	DET
ejpam-3157	37	40	spectral	spectral	ADJ
ejpam-3157	37	41	method	method	NOUN
ejpam-3157	37	42	in	in	ADP
ejpam-3157	37	43	which	which	PRON
ejpam-3157	37	44	the	the	DET
ejpam-3157	37	45	functions	function	NOUN
ejpam-3157	37	46	are	be	AUX
ejpam-3157	37	47	the	the	DET
ejpam-3157	37	48	functions	function	NOUN
ejpam-3157	37	49	of	of	ADP
ejpam-3157	37	50	a	a	DET
ejpam-3157	37	51	spatial	spatial	ADJ
ejpam-3157	37	52	operator	operator	NOUN
ejpam-3157	37	53	defined	define	VERB
ejpam-3157	37	54	on	on	ADP
ejpam-3157	37	55	the	the	DET
ejpam-3157	37	56	whole	whole	ADJ
ejpam-3157	37	57	area	area	NOUN
ejpam-3157	37	58	of	of	ADP
ejpam-3157	37	59	the	the	DET
ejpam-3157	37	60	works	work	NOUN
ejpam-3157	37	61	.	.	PUNCT
ejpam-3157	38	1	the	the	DET
ejpam-3157	38	2	finite	finite	PROPN
ejpam-3157	38	3	element	element	NOUN
ejpam-3157	38	4	method	method	NOUN
ejpam-3157	38	5	is	be	AUX
ejpam-3157	38	6	one	one	NUM
ejpam-3157	38	7	of	of	ADP
ejpam-3157	38	8	the	the	DET
ejpam-3157	38	9	tools	tool	NOUN
ejpam-3157	38	10	of	of	ADP
ejpam-3157	38	11	applied	applied	ADJ
ejpam-3157	38	12	mathematics	mathematic	NOUN
ejpam-3157	38	13	.	.	PUNCT
ejpam-3157	39	1	it	it	PRON
ejpam-3157	39	2	is	be	AUX
ejpam-3157	39	3	puts	put	NOUN
ejpam-3157	39	4	in	in	ADP
ejpam-3157	39	5	place	place	NOUN
ejpam-3157	39	6	,	,	PUNCT
ejpam-3157	39	7	using	use	VERB
ejpam-3157	39	8	principles	principle	NOUN
ejpam-3157	39	9	inherited	inherit	VERB
ejpam-3157	39	10	from	from	ADP
ejpam-3157	39	11	the	the	DET
ejpam-3157	39	12	variational	variational	ADJ
ejpam-3157	39	13	formulation	formulation	NOUN
ejpam-3157	39	14	or	or	CCONJ
ejpam-3157	39	15	weak	weak	ADJ
ejpam-3157	39	16	formulation	formulation	NOUN
ejpam-3157	39	17	,	,	PUNCT
ejpam-3157	39	18	a	a	DET
ejpam-3157	39	19	discrete	discrete	ADJ
ejpam-3157	39	20	mathematical	mathematical	ADJ
ejpam-3157	39	21	algorithm	algorithm	NOUN
ejpam-3157	39	22	for	for	ADP
ejpam-3157	39	23	finding	find	VERB
ejpam-3157	39	24	an	an	DET
ejpam-3157	39	25	approximate	approximate	ADJ
ejpam-3157	39	26	solution	solution	NOUN
ejpam-3157	39	27	of	of	ADP
ejpam-3157	39	28	a	a	DET
ejpam-3157	39	29	partial	partial	ADJ
ejpam-3157	39	30	differential	differential	NOUN
ejpam-3157	39	31	equation	equation	NOUN
ejpam-3157	39	32	on	on	ADP
ejpam-3157	39	33	a	a	DET
ejpam-3157	39	34	compact	compact	ADJ
ejpam-3157	39	35	domain	domain	NOUN
ejpam-3157	39	36	with	with	ADP
ejpam-3157	39	37	boundary	boundary	ADJ
ejpam-3157	39	38	conditions	condition	NOUN
ejpam-3157	39	39	and	and	CCONJ
ejpam-3157	39	40	/	/	SYM
ejpam-3157	39	41	or	or	CCONJ
ejpam-3157	39	42	in	in	ADP
ejpam-3157	39	43	the	the	DET
ejpam-3157	39	44	interior	interior	NOUN
ejpam-3157	39	45	of	of	ADP
ejpam-3157	39	46	the	the	DET
ejpam-3157	39	47	compact	compact	NOUN
ejpam-3157	39	48	.	.	PUNCT
ejpam-3157	40	1	it	it	PRON
ejpam-3157	40	2	speaks	speak	VERB
ejpam-3157	40	3	dirichlet	dirichlet	NOUN
ejpam-3157	40	4	conditions	condition	NOUN
ejpam-3157	40	5	(	(	PUNCT
ejpam-3157	40	6	values	value	NOUN
ejpam-3157	40	7	at	at	ADP
ejpam-3157	40	8	the	the	DET
ejpam-3157	40	9	edges	edge	NOUN
ejpam-3157	40	10	)	)	PUNCT
ejpam-3157	40	11	or	or	CCONJ
ejpam-3157	40	12	neumann	neumann	PROPN
ejpam-3157	40	13	(	(	PUNCT
ejpam-3157	40	14	gradients	gradient	NOUN
ejpam-3157	40	15	at	at	ADP
ejpam-3157	40	16	the	the	DET
ejpam-3157	40	17	edges	edge	NOUN
ejpam-3157	40	18	)	)	PUNCT
ejpam-3157	40	19	.	.	PUNCT
ejpam-3157	41	1	the	the	DET
ejpam-3157	41	2	finite	finite	PROPN
ejpam-3157	41	3	element	element	NOUN
ejpam-3157	41	4	method	method	NOUN
ejpam-3157	41	5	is	be	AUX
ejpam-3157	41	6	different	different	ADJ
ejpam-3157	41	7	than	than	ADP
ejpam-3157	41	8	the	the	DET
ejpam-3157	41	9	spectral	spectral	ADJ
ejpam-3157	41	10	because	because	SCONJ
ejpam-3157	41	11	it	it	PRON
ejpam-3157	41	12	is	be	AUX
ejpam-3157	41	13	not	not	PART
ejpam-3157	41	14	comprehensive	comprehensive	ADJ
ejpam-3157	41	15	,	,	PUNCT
ejpam-3157	41	16	but	but	CCONJ
ejpam-3157	41	17	rather	rather	ADV
ejpam-3157	41	18	determined	determine	VERB
ejpam-3157	41	19	by	by	ADP
ejpam-3157	41	20	local	local	ADJ
ejpam-3157	41	21	values	value	NOUN
ejpam-3157	41	22	.	.	PUNCT
ejpam-3157	42	1	however	however	ADV
ejpam-3157	42	2	,	,	PUNCT
ejpam-3157	42	3	it	it	PRON
ejpam-3157	42	4	is	be	AUX
ejpam-3157	42	5	distinct	distinct	ADJ
ejpam-3157	42	6	approximations	approximation	NOUN
ejpam-3157	42	7	gridded	gridde	VERB
ejpam-3157	42	8	because	because	SCONJ
ejpam-3157	42	9	the	the	DET
ejpam-3157	42	10	function	function	NOUN
ejpam-3157	42	11	is	be	AUX
ejpam-3157	42	12	defined	define	VERB
ejpam-3157	42	13	over	over	ADP
ejpam-3157	42	14	the	the	DET
ejpam-3157	42	15	entire	entire	ADJ
ejpam-3157	42	16	region	region	NOUN
ejpam-3157	42	17	and	and	CCONJ
ejpam-3157	42	18	not	not	PART
ejpam-3157	42	19	just	just	ADV
ejpam-3157	42	20	a.	a.	NOUN
ejpam-3157	42	21	allahem	allahem	PROPN
ejpam-3157	42	22	,	,	PUNCT
ejpam-3157	42	23	s.boulaaras	s.boulaara	NOUN
ejpam-3157	42	24	,	,	PUNCT
ejpam-3157	42	25	k.	k.	PROPN
ejpam-3157	42	26	zennir	zennir	PROPN
ejpam-3157	42	27	and	and	CCONJ
ejpam-3157	42	28	m.	m.	PROPN
ejpam-3157	42	29	haiour	haiour	PROPN
ejpam-3157	42	30	/	/	SYM
ejpam-3157	42	31	eur	eur	PROPN
ejpam-3157	42	32	.	.	PUNCT
ejpam-3157	43	1	j.	j.	PROPN
ejpam-3157	43	2	pure	pure	PROPN
ejpam-3157	43	3	appl	appl	PROPN
ejpam-3157	43	4	.	.	PROPN
ejpam-3157	43	5	math	math	PROPN
ejpam-3157	43	6	,	,	PUNCT
ejpam-3157	43	7	11	11	NUM
ejpam-3157	43	8	(	(	PUNCT
ejpam-3157	43	9	1	1	NUM
ejpam-3157	43	10	)	)	PUNCT
ejpam-3157	43	11	(	(	PUNCT
ejpam-3157	43	12	2018	2018	NUM
ejpam-3157	43	13	)	)	PUNCT
ejpam-3157	43	14	,	,	PUNCT
ejpam-3157	43	15	110	110	NUM
ejpam-3157	43	16	-	-	SYM
ejpam-3157	43	17	137	137	NUM
ejpam-3157	43	18	112	112	NUM
ejpam-3157	43	19	the	the	DET
ejpam-3157	43	20	discrete	discrete	ADJ
ejpam-3157	43	21	points	point	NOUN
ejpam-3157	43	22	.	.	PUNCT
ejpam-3157	44	1	as	as	ADP
ejpam-3157	44	2	in	in	ADP
ejpam-3157	44	3	the	the	DET
ejpam-3157	44	4	case	case	NOUN
ejpam-3157	44	5	of	of	ADP
ejpam-3157	44	6	other	other	ADJ
ejpam-3157	44	7	numerical	numerical	ADJ
ejpam-3157	44	8	methods	method	NOUN
ejpam-3157	44	9	,	,	PUNCT
ejpam-3157	44	10	questions	question	NOUN
ejpam-3157	44	11	arise	arise	VERB
ejpam-3157	44	12	as	as	ADP
ejpam-3157	44	13	to	to	ADP
ejpam-3157	44	14	the	the	DET
ejpam-3157	44	15	discretization	discretization	NOUN
ejpam-3157	44	16	:	:	PUNCT
ejpam-3157	44	17	existence	existence	NOUN
ejpam-3157	44	18	and	and	CCONJ
ejpam-3157	44	19	uniqueness	uniqueness	NOUN
ejpam-3157	44	20	of	of	ADP
ejpam-3157	44	21	solutions	solution	NOUN
ejpam-3157	44	22	,	,	PUNCT
ejpam-3157	44	23	stability	stability	NOUN
ejpam-3157	44	24	,	,	PUNCT
ejpam-3157	44	25	convergence	convergence	NOUN
ejpam-3157	44	26	and	and	CCONJ
ejpam-3157	44	27	of	of	ADP
ejpam-3157	44	28	course	course	NOUN
ejpam-3157	44	29	,	,	PUNCT
ejpam-3157	44	30	the	the	DET
ejpam-3157	44	31	error	error	NOUN
ejpam-3157	44	32	measure	measure	NOUN
ejpam-3157	44	33	between	between	ADP
ejpam-3157	44	34	a	a	DET
ejpam-3157	44	35	discrete	discrete	NOUN
ejpam-3157	44	36	and	and	CCONJ
ejpam-3157	44	37	a	a	DET
ejpam-3157	44	38	unique	unique	ADJ
ejpam-3157	44	39	solution	solution	NOUN
ejpam-3157	44	40	of	of	ADP
ejpam-3157	44	41	the	the	DET
ejpam-3157	44	42	initial	initial	ADJ
ejpam-3157	44	43	problem	problem	NOUN
ejpam-3157	44	44	.	.	PUNCT
ejpam-3157	45	1	our	our	PRON
ejpam-3157	45	2	goal	goal	NOUN
ejpam-3157	45	3	in	in	ADP
ejpam-3157	45	4	this	this	DET
ejpam-3157	45	5	paper	paper	NOUN
ejpam-3157	45	6	is	be	AUX
ejpam-3157	45	7	to	to	PART
ejpam-3157	45	8	highlight	highlight	VERB
ejpam-3157	45	9	the	the	DET
ejpam-3157	45	10	application	application	NOUN
ejpam-3157	45	11	of	of	ADP
ejpam-3157	45	12	the	the	DET
ejpam-3157	45	13	method	method	NOUN
ejpam-3157	45	14	to	to	ADP
ejpam-3157	45	15	an	an	DET
ejpam-3157	45	16	equation	equation	NOUN
ejpam-3157	45	17	of	of	ADP
ejpam-3157	45	18	parabolic	parabolic	ADJ
ejpam-3157	45	19	type	type	NOUN
ejpam-3157	45	20	.	.	PUNCT
ejpam-3157	46	1	in	in	ADP
ejpam-3157	46	2	the	the	DET
ejpam-3157	46	3	practical	practical	ADJ
ejpam-3157	46	4	part	part	NOUN
ejpam-3157	46	5	,	,	PUNCT
ejpam-3157	46	6	we	we	PRON
ejpam-3157	46	7	applied	apply	VERB
ejpam-3157	46	8	this	this	DET
ejpam-3157	46	9	method	method	NOUN
ejpam-3157	46	10	to	to	ADP
ejpam-3157	46	11	the	the	DET
ejpam-3157	46	12	diffusion	diffusion	NOUN
ejpam-3157	46	13	equation	equation	NOUN
ejpam-3157	46	14	for	for	ADP
ejpam-3157	46	15	virtual	virtual	ADJ
ejpam-3157	46	16	temperatures	temperature	NOUN
ejpam-3157	46	17	results	result	VERB
ejpam-3157	46	18	in	in	ADP
ejpam-3157	46	19	the	the	DET
ejpam-3157	46	20	ground	ground	NOUN
ejpam-3157	46	21	in	in	ADP
ejpam-3157	46	22	qassim	qassim	PROPN
ejpam-3157	46	23	province	province	NOUN
ejpam-3157	46	24	in	in	ADP
ejpam-3157	46	25	kingdom	kingdom	NOUN
ejpam-3157	46	26	of	of	ADP
ejpam-3157	46	27	saudi	saudi	PROPN
ejpam-3157	46	28	arabia	arabia	PROPN
ejpam-3157	46	29	.	.	PUNCT
ejpam-3157	47	1	this	this	DET
ejpam-3157	47	2	paper	paper	NOUN
ejpam-3157	47	3	is	be	AUX
ejpam-3157	47	4	organized	organize	VERB
ejpam-3157	47	5	as	as	SCONJ
ejpam-3157	47	6	follows	follow	VERB
ejpam-3157	47	7	:	:	PUNCT
ejpam-3157	47	8	in	in	ADP
ejpam-3157	47	9	the	the	DET
ejpam-3157	47	10	first	first	ADJ
ejpam-3157	47	11	part	part	NOUN
ejpam-3157	47	12	,	,	PUNCT
ejpam-3157	47	13	we	we	PRON
ejpam-3157	47	14	introduce	introduce	VERB
ejpam-3157	47	15	some	some	DET
ejpam-3157	47	16	necessary	necessary	ADJ
ejpam-3157	47	17	notations	notation	NOUN
ejpam-3157	47	18	of	of	ADP
ejpam-3157	47	19	the	the	DET
ejpam-3157	47	20	problem	problem	NOUN
ejpam-3157	47	21	,	,	PUNCT
ejpam-3157	47	22	then	then	ADV
ejpam-3157	47	23	we	we	PRON
ejpam-3157	47	24	study	study	VERB
ejpam-3157	47	25	the	the	DET
ejpam-3157	47	26	numerical	numerical	ADJ
ejpam-3157	47	27	analysis	analysis	NOUN
ejpam-3157	47	28	side	side	NOUN
ejpam-3157	47	29	of	of	ADP
ejpam-3157	47	30	the	the	DET
ejpam-3157	47	31	heat	heat	NOUN
ejpam-3157	47	32	equations	equation	NOUN
ejpam-3157	47	33	and	and	CCONJ
ejpam-3157	47	34	we	we	PRON
ejpam-3157	47	35	obtain	obtain	VERB
ejpam-3157	47	36	the	the	DET
ejpam-3157	47	37	weak	weak	ADJ
ejpam-3157	47	38	formulation	formulation	NOUN
ejpam-3157	47	39	of	of	ADP
ejpam-3157	47	40	our	our	PRON
ejpam-3157	47	41	model	model	NOUN
ejpam-3157	47	42	using	use	VERB
ejpam-3157	47	43	the	the	DET
ejpam-3157	47	44	theta	theta	NOUN
ejpam-3157	47	45	time	time	NOUN
ejpam-3157	47	46	scheme	scheme	NOUN
ejpam-3157	47	47	combined	combine	VERB
ejpam-3157	47	48	with	with	ADP
ejpam-3157	47	49	a	a	DET
ejpam-3157	47	50	finite	finite	ADJ
ejpam-3157	47	51	element	element	NOUN
ejpam-3157	47	52	method	method	NOUN
ejpam-3157	47	53	.	.	PUNCT
ejpam-3157	48	1	then	then	ADV
ejpam-3157	48	2	the	the	DET
ejpam-3157	48	3	stability	stability	NOUN
ejpam-3157	48	4	analysis	analysis	NOUN
ejpam-3157	48	5	of	of	ADP
ejpam-3157	48	6	the	the	DET
ejpam-3157	48	7	proposed	propose	VERB
ejpam-3157	48	8	schemes	scheme	NOUN
ejpam-3157	48	9	and	and	CCONJ
ejpam-3157	48	10	the	the	DET
ejpam-3157	48	11	theoretical	theoretical	ADJ
ejpam-3157	48	12	side	side	NOUN
ejpam-3157	48	13	of	of	ADP
ejpam-3157	48	14	the	the	DET
ejpam-3157	48	15	full	full	ADJ
ejpam-3157	48	16	discrete	discrete	ADJ
ejpam-3157	48	17	problem	problem	NOUN
ejpam-3157	48	18	is	be	AUX
ejpam-3157	48	19	established	establish	VERB
ejpam-3157	48	20	.	.	PUNCT
ejpam-3157	49	1	in	in	ADP
ejpam-3157	49	2	the	the	DET
ejpam-3157	49	3	second	second	ADJ
ejpam-3157	49	4	part	part	NOUN
ejpam-3157	49	5	,	,	PUNCT
ejpam-3157	49	6	we	we	PRON
ejpam-3157	49	7	present	present	VERB
ejpam-3157	49	8	a	a	DET
ejpam-3157	49	9	one	one	NUM
ejpam-3157	49	10	-	-	PUNCT
ejpam-3157	49	11	dimensional	dimensional	ADJ
ejpam-3157	49	12	numerical	numerical	ADJ
ejpam-3157	49	13	prediction	prediction	NOUN
ejpam-3157	49	14	model	model	NOUN
ejpam-3157	49	15	that	that	PRON
ejpam-3157	49	16	predicts	predict	VERB
ejpam-3157	49	17	the	the	DET
ejpam-3157	49	18	temperature	temperature	NOUN
ejpam-3157	49	19	field	field	NOUN
ejpam-3157	49	20	for	for	ADP
ejpam-3157	49	21	different	different	ADJ
ejpam-3157	49	22	depths	depth	NOUN
ejpam-3157	49	23	of	of	ADP
ejpam-3157	49	24	soil	soil	NOUN
ejpam-3157	49	25	homogeneous	homogeneous	ADJ
ejpam-3157	49	26	and	and	CCONJ
ejpam-3157	49	27	for	for	ADP
ejpam-3157	49	28	different	different	ADJ
ejpam-3157	49	29	times	time	NOUN
ejpam-3157	49	30	and	and	CCONJ
ejpam-3157	49	31	different	different	ADJ
ejpam-3157	49	32	days	day	NOUN
ejpam-3157	49	33	of	of	ADP
ejpam-3157	49	34	a	a	DET
ejpam-3157	49	35	given	give	VERB
ejpam-3157	49	36	month	month	NOUN
ejpam-3157	49	37	.	.	PUNCT
ejpam-3157	50	1	by	by	ADP
ejpam-3157	50	2	using	use	VERB
ejpam-3157	50	3	the	the	DET
ejpam-3157	50	4	finite	finite	ADJ
ejpam-3157	50	5	element	element	NOUN
ejpam-3157	50	6	approximation	approximation	NOUN
ejpam-3157	50	7	of	of	ADP
ejpam-3157	50	8	the	the	DET
ejpam-3157	50	9	lagrange	lagrange	NOUN
ejpam-3157	50	10	polynomial	polynomial	NOUN
ejpam-3157	50	11	of	of	ADP
ejpam-3157	50	12	order	order	NOUN
ejpam-3157	50	13	1	1	NUM
ejpam-3157	50	14	,	,	PUNCT
ejpam-3157	50	15	determining	determine	VERB
ejpam-3157	50	16	the	the	DET
ejpam-3157	50	17	change	change	NOUN
ejpam-3157	50	18	in	in	ADP
ejpam-3157	50	19	temperature	temperature	NOUN
ejpam-3157	50	20	in	in	ADP
ejpam-3157	50	21	the	the	DET
ejpam-3157	50	22	soil	soil	NOUN
ejpam-3157	50	23	over	over	ADP
ejpam-3157	50	24	time	time	NOUN
ejpam-3157	50	25	by	by	ADP
ejpam-3157	50	26	the	the	DET
ejpam-3157	50	27	knowledge	knowledge	NOUN
ejpam-3157	50	28	of	of	ADP
ejpam-3157	50	29	the	the	DET
ejpam-3157	50	30	parameters	parameter	NOUN
ejpam-3157	50	31	and	and	CCONJ
ejpam-3157	50	32	characteristics	characteristic	NOUN
ejpam-3157	50	33	of	of	ADP
ejpam-3157	50	34	the	the	DET
ejpam-3157	50	35	soil	soil	NOUN
ejpam-3157	50	36	.	.	PUNCT
ejpam-3157	51	1	during	during	ADP
ejpam-3157	51	2	a	a	DET
ejpam-3157	51	3	period	period	NOUN
ejpam-3157	51	4	of	of	ADP
ejpam-3157	51	5	24	24	NUM
ejpam-3157	51	6	hours	hour	NOUN
ejpam-3157	51	7	,	,	PUNCT
ejpam-3157	51	8	the	the	DET
ejpam-3157	51	9	temperature	temperature	NOUN
ejpam-3157	51	10	surface	surface	NOUN
ejpam-3157	51	11	is	be	AUX
ejpam-3157	51	12	substantially	substantially	ADV
ejpam-3157	51	13	the	the	DET
ejpam-3157	51	14	response	response	NOUN
ejpam-3157	51	15	to	to	ADP
ejpam-3157	51	16	radiation	radiation	NOUN
ejpam-3157	51	17	received	receive	VERB
ejpam-3157	51	18	diurnal	diurnal	NOUN
ejpam-3157	51	19	.	.	PUNCT
ejpam-3157	52	1	exchanges	exchange	NOUN
ejpam-3157	52	2	heat	heat	VERB
ejpam-3157	52	3	does	do	AUX
ejpam-3157	52	4	make	make	VERB
ejpam-3157	52	5	the	the	DET
ejpam-3157	52	6	firsts	first	NOUN
ejpam-3157	52	7	in	in	ADP
ejpam-3157	52	8	soil	soil	NOUN
ejpam-3157	52	9	layers	layer	NOUN
ejpam-3157	52	10	that	that	PRON
ejpam-3157	52	11	can	can	AUX
ejpam-3157	52	12	return	return	VERB
ejpam-3157	52	13	to	to	ADP
ejpam-3157	52	14	the	the	DET
ejpam-3157	52	15	surface	surface	NOUN
ejpam-3157	52	16	if	if	SCONJ
ejpam-3157	52	17	necessary	necessary	ADJ
ejpam-3157	52	18	,	,	PUNCT
ejpam-3157	52	19	part	part	NOUN
ejpam-3157	52	20	of	of	ADP
ejpam-3157	52	21	the	the	DET
ejpam-3157	52	22	energy	energy	NOUN
ejpam-3157	52	23	.	.	PUNCT
ejpam-3157	53	1	by	by	ADP
ejpam-3157	53	2	cons	con	NOUN
ejpam-3157	53	3	,	,	PUNCT
ejpam-3157	53	4	in	in	ADP
ejpam-3157	53	5	a	a	DET
ejpam-3157	53	6	day	day	NOUN
ejpam-3157	53	7	,	,	PUNCT
ejpam-3157	53	8	the	the	DET
ejpam-3157	53	9	heat	heat	NOUN
ejpam-3157	53	10	storage	storage	NOUN
ejpam-3157	53	11	in	in	ADP
ejpam-3157	53	12	the	the	DET
ejpam-3157	53	13	soil	soil	NOUN
ejpam-3157	53	14	(	(	PUNCT
ejpam-3157	53	15	thermal	thermal	ADJ
ejpam-3157	53	16	inertia	inertia	NOUN
ejpam-3157	53	17	)	)	PUNCT
ejpam-3157	53	18	concerns	concern	NOUN
ejpam-3157	53	19	only	only	ADV
ejpam-3157	53	20	the	the	DET
ejpam-3157	53	21	first	first	ADJ
ejpam-3157	53	22	layer	layer	NOUN
ejpam-3157	53	23	of	of	ADP
ejpam-3157	53	24	soil	soil	NOUN
ejpam-3157	53	25	not	not	PART
ejpam-3157	53	26	exceeding	exceed	VERB
ejpam-3157	53	27	60	60	NUM
ejpam-3157	53	28	cm	cm	NOUN
ejpam-3157	53	29	.	.	PUNCT
ejpam-3157	54	1	i.e.	i.e.	X
ejpam-3157	54	2	the	the	DET
ejpam-3157	54	3	temperature	temperature	NOUN
ejpam-3157	54	4	field	field	NOUN
ejpam-3157	54	5	in	in	ADP
ejpam-3157	54	6	the	the	DET
ejpam-3157	54	7	surface	surface	NOUN
ejpam-3157	54	8	layer	layer	NOUN
ejpam-3157	54	9	of	of	ADP
ejpam-3157	54	10	the	the	DET
ejpam-3157	54	11	soil	soil	NOUN
ejpam-3157	54	12	,	,	PUNCT
ejpam-3157	54	13	which	which	PRON
ejpam-3157	54	14	extends	extend	VERB
ejpam-3157	54	15	to	to	ADP
ejpam-3157	54	16	a	a	DET
ejpam-3157	54	17	depth	depth	NOUN
ejpam-3157	54	18	of	of	ADP
ejpam-3157	54	19	60	60	NUM
ejpam-3157	54	20	cm	cm	NOUN
ejpam-3157	54	21	,	,	PUNCT
ejpam-3157	54	22	is	be	AUX
ejpam-3157	54	23	still	still	ADV
ejpam-3157	54	24	sensitive	sensitive	ADJ
ejpam-3157	54	25	to	to	ADP
ejpam-3157	54	26	climatic	climatic	ADJ
ejpam-3157	54	27	variations	variation	NOUN
ejpam-3157	54	28	recorded	record	VERB
ejpam-3157	54	29	on	on	ADP
ejpam-3157	54	30	the	the	DET
ejpam-3157	54	31	surface	surface	NOUN
ejpam-3157	54	32	.	.	PUNCT
ejpam-3157	55	1	the	the	DET
ejpam-3157	55	2	objective	objective	NOUN
ejpam-3157	55	3	of	of	ADP
ejpam-3157	55	4	this	this	DET
ejpam-3157	55	5	work	work	NOUN
ejpam-3157	55	6	is	be	AUX
ejpam-3157	55	7	precisely	precisely	ADV
ejpam-3157	55	8	to	to	PART
ejpam-3157	55	9	propose	propose	VERB
ejpam-3157	55	10	a	a	DET
ejpam-3157	55	11	prediction	prediction	NOUN
ejpam-3157	55	12	model	model	NOUN
ejpam-3157	55	13	based	base	VERB
ejpam-3157	55	14	on	on	ADP
ejpam-3157	55	15	dimensional	dimensional	ADJ
ejpam-3157	55	16	numerical	numerical	ADJ
ejpam-3157	55	17	finite	finite	PROPN
ejpam-3157	55	18	element	element	NOUN
ejpam-3157	55	19	approximation	approximation	NOUN
ejpam-3157	55	20	for	for	ADP
ejpam-3157	55	21	the	the	DET
ejpam-3157	55	22	evolution	evolution	NOUN
ejpam-3157	55	23	of	of	ADP
ejpam-3157	55	24	the	the	DET
ejpam-3157	55	25	temperature	temperature	NOUN
ejpam-3157	55	26	field	field	NOUN
ejpam-3157	55	27	in	in	ADP
ejpam-3157	55	28	a	a	DET
ejpam-3157	55	29	homogeneous	homogeneous	ADJ
ejpam-3157	55	30	soil	soil	NOUN
ejpam-3157	55	31	.	.	PUNCT
ejpam-3157	56	1	finally	finally	ADV
ejpam-3157	56	2	,	,	PUNCT
ejpam-3157	56	3	we	we	PRON
ejpam-3157	56	4	perform	perform	VERB
ejpam-3157	56	5	virtual	virtual	ADJ
ejpam-3157	56	6	measurements	measurement	NOUN
ejpam-3157	56	7	of	of	ADP
ejpam-3157	56	8	the	the	DET
ejpam-3157	56	9	soil	soil	NOUN
ejpam-3157	56	10	temperature	temperature	NOUN
ejpam-3157	56	11	and	and	CCONJ
ejpam-3157	56	12	in	in	ADP
ejpam-3157	56	13	the	the	DET
ejpam-3157	56	14	soil	soil	NOUN
ejpam-3157	56	15	,	,	PUNCT
ejpam-3157	56	16	that	that	PRON
ejpam-3157	56	17	is	be	AUX
ejpam-3157	56	18	to	to	PART
ejpam-3157	56	19	say	say	VERB
ejpam-3157	56	20	,	,	PUNCT
ejpam-3157	56	21	we	we	PRON
ejpam-3157	56	22	use	use	VERB
ejpam-3157	56	23	virtual	virtual	ADJ
ejpam-3157	56	24	data	datum	NOUN
ejpam-3157	56	25	to	to	PART
ejpam-3157	56	26	prove	prove	VERB
ejpam-3157	56	27	the	the	DET
ejpam-3157	56	28	accuracy	accuracy	NOUN
ejpam-3157	56	29	of	of	ADP
ejpam-3157	56	30	the	the	DET
ejpam-3157	56	31	numerical	numerical	ADJ
ejpam-3157	56	32	method	method	NOUN
ejpam-3157	56	33	by	by	ADP
ejpam-3157	56	34	using	use	VERB
ejpam-3157	56	35	the	the	DET
ejpam-3157	56	36	error	error	NOUN
ejpam-3157	56	37	estimate	estimate	NOUN
ejpam-3157	56	38	.	.	PUNCT
ejpam-3157	57	1	2	2	X
ejpam-3157	57	2	.	.	X
ejpam-3157	57	3	temperature	temperature	NOUN
ejpam-3157	57	4	diffusion	diffusion	NOUN
ejpam-3157	57	5	equation	equation	NOUN
ejpam-3157	57	6	the	the	DET
ejpam-3157	57	7	objective	objective	NOUN
ejpam-3157	57	8	of	of	ADP
ejpam-3157	57	9	this	this	DET
ejpam-3157	57	10	work	work	NOUN
ejpam-3157	57	11	is	be	AUX
ejpam-3157	57	12	precisely	precisely	ADV
ejpam-3157	57	13	to	to	PART
ejpam-3157	57	14	propose	propose	VERB
ejpam-3157	57	15	a	a	DET
ejpam-3157	57	16	one	one	NUM
ejpam-3157	57	17	-	-	PUNCT
ejpam-3157	57	18	dimensional	dimensional	ADJ
ejpam-3157	57	19	numerical	numerical	ADJ
ejpam-3157	57	20	prediction	prediction	NOUN
ejpam-3157	57	21	model	model	NOUN
ejpam-3157	57	22	based	base	VERB
ejpam-3157	57	23	on	on	ADP
ejpam-3157	57	24	the	the	DET
ejpam-3157	57	25	finite	finite	ADJ
ejpam-3157	57	26	element	element	NOUN
ejpam-3157	57	27	approximation	approximation	NOUN
ejpam-3157	57	28	for	for	ADP
ejpam-3157	57	29	the	the	DET
ejpam-3157	57	30	evolution	evolution	NOUN
ejpam-3157	57	31	of	of	ADP
ejpam-3157	57	32	the	the	DET
ejpam-3157	57	33	temperature	temperature	NOUN
ejpam-3157	57	34	field	field	NOUN
ejpam-3157	57	35	in	in	ADP
ejpam-3157	57	36	a	a	DET
ejpam-3157	57	37	homogeneous	homogeneous	ADJ
ejpam-3157	57	38	soil	soil	NOUN
ejpam-3157	57	39	.	.	PUNCT
ejpam-3157	58	1	for	for	ADP
ejpam-3157	58	2	the	the	DET
ejpam-3157	58	3	case	case	NOUN
ejpam-3157	58	4	of	of	ADP
ejpam-3157	58	5	a	a	DET
ejpam-3157	58	6	homogeneous	homogeneous	ADJ
ejpam-3157	58	7	and	and	CCONJ
ejpam-3157	58	8	isotropic	isotropic	ADJ
ejpam-3157	58	9	soil	soil	NOUN
ejpam-3157	58	10	,	,	PUNCT
ejpam-3157	58	11	the	the	DET
ejpam-3157	58	12	thermal	thermal	ADJ
ejpam-3157	58	13	balance	balance	NOUN
ejpam-3157	58	14	on	on	ADP
ejpam-3157	58	15	a	a	DET
ejpam-3157	58	16	volume	volume	NOUN
ejpam-3157	58	17	element	element	NOUN
ejpam-3157	58	18	,	,	PUNCT
ejpam-3157	58	19	gives	give	VERB
ejpam-3157	58	20	rise	rise	NOUN
ejpam-3157	58	21	according	accord	VERB
ejpam-3157	58	22	to	to	ADP
ejpam-3157	58	23	the	the	DET
ejpam-3157	58	24	depth	depth	NOUN
ejpam-3157	58	25	z	z	NOUN
ejpam-3157	58	26	,	,	PUNCT
ejpam-3157	58	27	to	to	ADP
ejpam-3157	58	28	the	the	DET
ejpam-3157	58	29	equation	equation	NOUN
ejpam-3157	58	30	of	of	ADP
ejpam-3157	58	31	propagation	propagation	NOUN
ejpam-3157	58	32	of	of	ADP
ejpam-3157	58	33	the	the	DET
ejpam-3157	58	34	heat	heat	NOUN
ejpam-3157	58	35	with	with	ADP
ejpam-3157	58	36	internal	internal	ADJ
ejpam-3157	58	37	production	production	NOUN
ejpam-3157	58	38	of	of	ADP
ejpam-3157	58	39	energy	energy	NOUN
ejpam-3157	58	40	f	f	PROPN
ejpam-3157	58	41	which	which	PRON
ejpam-3157	58	42	is	be	AUX
ejpam-3157	58	43	written:	written:	PROPN
ejpam-3157	58	44	ut	ut	PROPN
ejpam-3157	58	45	−duzz	−duzz	PROPN
ejpam-3157	59	1	=	=	PUNCT
ejpam-3157	59	2	f	f	X
ejpam-3157	59	3	in	in	ADP
ejpam-3157	59	4	[	[	X
ejpam-3157	59	5	a	a	DET
ejpam-3157	59	6	,	,	PUNCT
ejpam-3157	59	7	b]×	b]×	NOUN
ejpam-3157	59	8	[	[	X
ejpam-3157	59	9	0	0	NUM
ejpam-3157	59	10	,	,	PUNCT
ejpam-3157	59	11	tf	tf	X
ejpam-3157	59	12	]	]	PUNCT
ejpam-3157	59	13	,	,	PUNCT
ejpam-3157	59	14	u(t	u(t	NOUN
ejpam-3157	59	15	,	,	PUNCT
ejpam-3157	59	16	a	a	PRON
ejpam-3157	59	17	)	)	PUNCT
ejpam-3157	59	18	=	=	SYM
ejpam-3157	59	19	us	us	PROPN
ejpam-3157	59	20	=	=	SYM
ejpam-3157	59	21	α	α	PROPN
ejpam-3157	59	22	,	,	PUNCT
ejpam-3157	59	23	u(t	u(t	NOUN
ejpam-3157	59	24	,	,	PUNCT
ejpam-3157	59	25	b	b	NOUN
ejpam-3157	59	26	)	)	PUNCT
ejpam-3157	59	27	=	=	SYM
ejpam-3157	59	28	β	β	X
ejpam-3157	59	29	,	,	PUNCT
ejpam-3157	59	30	u(0	u(0	PROPN
ejpam-3157	59	31	,	,	PUNCT
ejpam-3157	59	32	z	z	NOUN
ejpam-3157	59	33	)	)	PUNCT
ejpam-3157	59	34	=	=	SYM
ejpam-3157	60	1	u0(z	u0(z	ADJ
ejpam-3157	60	2	)	)	PUNCT
ejpam-3157	60	3	,	,	PUNCT
ejpam-3157	60	4	(	(	PUNCT
ejpam-3157	60	5	1	1	X
ejpam-3157	60	6	)	)	PUNCT
ejpam-3157	60	7	a.	a.	NOUN
ejpam-3157	60	8	allahem	allahem	PROPN
ejpam-3157	60	9	,	,	PUNCT
ejpam-3157	60	10	s.boulaaras	s.boulaara	NOUN
ejpam-3157	60	11	,	,	PUNCT
ejpam-3157	60	12	k.	k.	PROPN
ejpam-3157	60	13	zennir	zennir	PROPN
ejpam-3157	60	14	and	and	CCONJ
ejpam-3157	60	15	m.	m.	PROPN
ejpam-3157	60	16	haiour	haiour	PROPN
ejpam-3157	60	17	/	/	SYM
ejpam-3157	60	18	eur	eur	PROPN
ejpam-3157	60	19	.	.	PUNCT
ejpam-3157	61	1	j.	j.	PROPN
ejpam-3157	61	2	pure	pure	PROPN
ejpam-3157	61	3	appl	appl	PROPN
ejpam-3157	61	4	.	.	PROPN
ejpam-3157	61	5	math	math	PROPN
ejpam-3157	61	6	,	,	PUNCT
ejpam-3157	61	7	11	11	NUM
ejpam-3157	61	8	(	(	PUNCT
ejpam-3157	61	9	1	1	NUM
ejpam-3157	61	10	)	)	PUNCT
ejpam-3157	61	11	(	(	PUNCT
ejpam-3157	61	12	2018	2018	NUM
ejpam-3157	61	13	)	)	PUNCT
ejpam-3157	61	14	,	,	PUNCT
ejpam-3157	61	15	110	110	NUM
ejpam-3157	61	16	-	-	SYM
ejpam-3157	61	17	137	137	NUM
ejpam-3157	61	18	113	113	NUM
ejpam-3157	61	19	where	where	SCONJ
ejpam-3157	61	20	d	d	PROPN
ejpam-3157	61	21	=	=	SYM
ejpam-3157	61	22	ρ.λ	ρ.λ	PROPN
ejpam-3157	61	23	cp	cp	INTJ
ejpam-3157	61	24	,	,	PUNCT
ejpam-3157	61	25	(	(	PUNCT
ejpam-3157	61	26	2	2	NUM
ejpam-3157	61	27	)	)	PUNCT
ejpam-3157	61	28	and	and	CCONJ
ejpam-3157	61	29	ρ	ρ	PROPN
ejpam-3157	61	30	is	be	AUX
ejpam-3157	61	31	the	the	DET
ejpam-3157	61	32	density	density	NOUN
ejpam-3157	61	33	,	,	PUNCT
ejpam-3157	61	34	λ	λ	PROPN
ejpam-3157	61	35	is	be	AUX
ejpam-3157	61	36	the	the	DET
ejpam-3157	61	37	thermal	thermal	ADJ
ejpam-3157	61	38	conductivity	conductivity	NOUN
ejpam-3157	61	39	and	and	CCONJ
ejpam-3157	61	40	cp	cp	NOUN
ejpam-3157	61	41	is	be	AUX
ejpam-3157	61	42	the	the	DET
ejpam-3157	61	43	specific	specific	ADJ
ejpam-3157	61	44	heat	heat	NOUN
ejpam-3157	61	45	.	.	PUNCT
ejpam-3157	62	1	according	accord	VERB
ejpam-3157	62	2	to	to	ADP
ejpam-3157	62	3	(	(	PUNCT
ejpam-3157	62	4	[	[	X
ejpam-3157	62	5	17	17	NUM
ejpam-3157	62	6	]	]	NUM
ejpam-3157	62	7	)	)	PUNCT
ejpam-3157	62	8	,	,	PUNCT
ejpam-3157	62	9	the	the	DET
ejpam-3157	62	10	thermal	thermal	NOUN
ejpam-3157	62	11	diffusively	diffusively	ADV
ejpam-3157	62	12	in	in	ADP
ejpam-3157	62	13	the	the	DET
ejpam-3157	62	14	soil	soil	NOUN
ejpam-3157	62	15	is	be	AUX
ejpam-3157	62	16	10−6m2	10−6m2	NUM
ejpam-3157	62	17	/	/	SYM
ejpam-3157	62	18	s.	s.	PROPN
ejpam-3157	62	19	2.1	2.1	NUM
ejpam-3157	62	20	.	.	PUNCT
ejpam-3157	63	1	discrete	discrete	ADJ
ejpam-3157	63	2	problem	problem	NOUN
ejpam-3157	63	3	to	to	PART
ejpam-3157	63	4	solve	solve	VERB
ejpam-3157	63	5	this	this	DET
ejpam-3157	63	6	problem	problem	NOUN
ejpam-3157	63	7	(	(	PUNCT
ejpam-3157	63	8	1	1	NUM
ejpam-3157	63	9	)	)	PUNCT
ejpam-3157	63	10	,	,	PUNCT
ejpam-3157	63	11	one	one	PRON
ejpam-3157	63	12	can	can	AUX
ejpam-3157	63	13	proceed	proceed	VERB
ejpam-3157	63	14	in	in	ADP
ejpam-3157	63	15	two	two	NUM
ejpam-3157	63	16	stages	stage	NOUN
ejpam-3157	63	17	.	.	PUNCT
ejpam-3157	64	1	in	in	ADP
ejpam-3157	64	2	a	a	DET
ejpam-3157	64	3	first	first	ADJ
ejpam-3157	64	4	step	step	NOUN
ejpam-3157	64	5	,	,	PUNCT
ejpam-3157	64	6	we	we	PRON
ejpam-3157	64	7	discretizes	discretize	VERB
ejpam-3157	64	8	in	in	ADP
ejpam-3157	64	9	space	space	NOUN
ejpam-3157	64	10	by	by	ADP
ejpam-3157	64	11	finite	finite	ADJ
ejpam-3157	64	12	elements	element	NOUN
ejpam-3157	64	13	,	,	PUNCT
ejpam-3157	64	14	that	that	PRON
ejpam-3157	64	15	is	be	AUX
ejpam-3157	64	16	to	to	PART
ejpam-3157	64	17	say	say	VERB
ejpam-3157	64	18	that	that	SCONJ
ejpam-3157	64	19	we	we	PRON
ejpam-3157	64	20	approach	approach	VERB
ejpam-3157	64	21	the	the	DET
ejpam-3157	64	22	space	space	NOUN
ejpam-3157	64	23	h1	h1	NOUN
ejpam-3157	64	24	by	by	ADP
ejpam-3157	64	25	a	a	DET
ejpam-3157	64	26	finite	finite	ADJ
ejpam-3157	64	27	dimension	dimension	NOUN
ejpam-3157	64	28	space	space	NOUN
ejpam-3157	64	29	v	v	ADP
ejpam-3157	64	30	h	h	NOUN
ejpam-3157	64	31	1	1	NUM
ejpam-3157	64	32	defined	define	VERB
ejpam-3157	64	33	as	as	ADP
ejpam-3157	64	34	:	:	PUNCT
ejpam-3157	64	35	v	v	NUM
ejpam-3157	64	36	h	h	NOUN
ejpam-3157	64	37	1	1	NUM
ejpam-3157	64	38	=	=	PUNCT
ejpam-3157	64	39			NOUN
ejpam-3157	64	40	vh	vh	PROPN
ejpam-3157	64	41	∈	∈	PROPN
ejpam-3157	64	42	c2	c2	PROPN
ejpam-3157	64	43	(	(	PUNCT
ejpam-3157	64	44	ω	ω	PROPN
ejpam-3157	64	45	)	)	PUNCT
ejpam-3157	64	46	∩h1	∩h1	PROPN
ejpam-3157	64	47	(	(	PUNCT
ejpam-3157	64	48	ω	ω	NOUN
ejpam-3157	64	49	)	)	PUNCT
ejpam-3157	64	50	,	,	PUNCT
ejpam-3157	64	51	vh	vh	PROPN
ejpam-3157	64	52	|i=[a	|i=[a	NUM
ejpam-3157	64	53	,	,	PUNCT
ejpam-3157	64	54	b]∈	b]∈	NOUN
ejpam-3157	64	55	p1	p1	NOUN
ejpam-3157	64	56	in	in	ADP
ejpam-3157	64	57	ω	ω	PROPN
ejpam-3157	64	58	and	and	CCONJ
ejpam-3157	64	59	u	u	PROPN
ejpam-3157	64	60	(	(	PUNCT
ejpam-3157	64	61	a	a	NOUN
ejpam-3157	64	62	)	)	PUNCT
ejpam-3157	65	1	=	=	SYM
ejpam-3157	65	2	α	α	PROPN
ejpam-3157	65	3	,	,	PUNCT
ejpam-3157	65	4	u	u	NOUN
ejpam-3157	65	5	(	(	PUNCT
ejpam-3157	65	6	b	b	NOUN
ejpam-3157	65	7	)	)	PUNCT
ejpam-3157	65	8	=	=	SYM
ejpam-3157	66	1	β	β	X
ejpam-3157	66	2	.	.	PUNCT
ejpam-3157	67	1			ADP
ejpam-3157	67	2	2.1.1	2.1.1	NUM
ejpam-3157	67	3	.	.	PUNCT
ejpam-3157	68	1	spatial	spatial	ADJ
ejpam-3157	68	2	discretization	discretization	NOUN
ejpam-3157	68	3	we	we	PRON
ejpam-3157	68	4	then	then	ADV
ejpam-3157	68	5	define	define	VERB
ejpam-3157	68	6	the	the	DET
ejpam-3157	68	7	semi	semi	ADJ
ejpam-3157	68	8	-	-	ADJ
ejpam-3157	68	9	discretized	discretized	ADJ
ejpam-3157	68	10	problem	problem	NOUN
ejpam-3157	68	11	,	,	PUNCT
ejpam-3157	68	12	multiplying	multiply	VERB
ejpam-3157	68	13	equation	equation	NOUN
ejpam-3157	68	14	(	(	PUNCT
ejpam-3157	68	15	1	1	NUM
ejpam-3157	68	16	)	)	PUNCT
ejpam-3157	68	17	by	by	ADP
ejpam-3157	68	18	a	a	DET
ejpam-3157	68	19	test	test	NOUN
ejpam-3157	68	20	function	function	NOUN
ejpam-3157	68	21	v	v	ADP
ejpam-3157	68	22	∈	∈	PROPN
ejpam-3157	68	23	h1	h1	NOUN
ejpam-3157	68	24	(	(	PUNCT
ejpam-3157	68	25	[	[	X
ejpam-3157	68	26	a	a	X
ejpam-3157	68	27	,	,	PUNCT
ejpam-3157	68	28	b	b	NOUN
ejpam-3157	68	29	]	]	X
ejpam-3157	68	30	)	)	PUNCT
ejpam-3157	68	31	and	and	CCONJ
ejpam-3157	68	32	we	we	PRON
ejpam-3157	68	33	integrate	integrate	VERB
ejpam-3157	68	34	on	on	ADP
ejpam-3157	68	35	[	[	X
ejpam-3157	68	36	a	a	X
ejpam-3157	68	37	,	,	PUNCT
ejpam-3157	68	38	b	b	NOUN
ejpam-3157	68	39	]	]	X
ejpam-3157	68	40	=	=	SYM
ejpam-3157	68	41	ω	ω	PROPN
ejpam-3157	68	42	,	,	PUNCT
ejpam-3157	68	43	we	we	PRON
ejpam-3157	68	44	get∫	get∫	VERB
ejpam-3157	68	45	ω	ω	PROPN
ejpam-3157	68	46	utvdz	utvdz	PROPN
ejpam-3157	68	47	−d	−d	PROPN
ejpam-3157	68	48	∫	∫	PROPN
ejpam-3157	68	49	ω	ω	NUM
ejpam-3157	68	50	uzzvdz	uzzvdz	PROPN
ejpam-3157	68	51	=	=	SYM
ejpam-3157	68	52	∫	∫	PROPN
ejpam-3157	68	53	ω	ω	NUM
ejpam-3157	68	54	fvdz	fvdz	NOUN
ejpam-3157	68	55	.	.	PUNCT
ejpam-3157	69	1	(	(	PUNCT
ejpam-3157	69	2	3	3	X
ejpam-3157	69	3	)	)	PUNCT
ejpam-3157	69	4	to	to	PART
ejpam-3157	69	5	introduce	introduce	VERB
ejpam-3157	69	6	an	an	DET
ejpam-3157	69	7	approximation	approximation	NOUN
ejpam-3157	69	8	uh	uh	INTJ
ejpam-3157	69	9	∈	∈	PROPN
ejpam-3157	69	10	v	v	NOUN
ejpam-3157	69	11	h	h	NOUN
ejpam-3157	69	12	1	1	NUM
ejpam-3157	69	13	⊂	⊂	X
ejpam-3157	69	14	h1(ω	h1(ω	PROPN
ejpam-3157	69	15	)	)	PUNCT
ejpam-3157	69	16	,	,	PUNCT
ejpam-3157	69	17	we	we	PRON
ejpam-3157	69	18	will	will	AUX
ejpam-3157	69	19	introduce	introduce	VERB
ejpam-3157	69	20	a	a	DET
ejpam-3157	69	21	mesh	mesh	NOUN
ejpam-3157	69	22	of	of	ADP
ejpam-3157	69	23	ω	ω	PROPN
ejpam-3157	69	24	composed	compose	VERB
ejpam-3157	69	25	of	of	ADP
ejpam-3157	69	26	n	n	PROPN
ejpam-3157	69	27	+	+	CCONJ
ejpam-3157	69	28	1	1	NUM
ejpam-3157	69	29	points	point	NOUN
ejpam-3157	69	30	and	and	CCONJ
ejpam-3157	69	31	if	if	SCONJ
ejpam-3157	69	32	the	the	DET
ejpam-3157	69	33	mesh	mesh	NOUN
ejpam-3157	69	34	is	be	AUX
ejpam-3157	69	35	uniform	uniform	ADJ
ejpam-3157	69	36	,	,	PUNCT
ejpam-3157	69	37	the	the	DET
ejpam-3157	69	38	step	step	NOUN
ejpam-3157	69	39	of	of	ADP
ejpam-3157	69	40	spatial	spatial	ADJ
ejpam-3157	69	41	discretization	discretization	NOUN
ejpam-3157	69	42	is	be	AUX
ejpam-3157	69	43	h	h	NOUN
ejpam-3157	69	44	=	=	PUNCT
ejpam-3157	69	45	b−	b−	PROPN
ejpam-3157	69	46	a	a	DET
ejpam-3157	69	47	n	n	NOUN
ejpam-3157	69	48	.	.	PUNCT
ejpam-3157	70	1	but	but	CCONJ
ejpam-3157	70	2	in	in	ADP
ejpam-3157	70	3	our	our	PRON
ejpam-3157	70	4	case	case	NOUN
ejpam-3157	70	5	the	the	DET
ejpam-3157	70	6	mesh	mesh	NOUN
ejpam-3157	70	7	is	be	AUX
ejpam-3157	70	8	not	not	PART
ejpam-3157	70	9	uniform	uniform	ADJ
ejpam-3157	70	10	,	,	PUNCT
ejpam-3157	70	11	we	we	PRON
ejpam-3157	70	12	take	take	VERB
ejpam-3157	70	13	:	:	PUNCT
ejpam-3157	70	14	h	h	NOUN
ejpam-3157	70	15	=	=	NOUN
ejpam-3157	70	16	maxhj	maxhj	NOUN
ejpam-3157	70	17	.	.	PUNCT
ejpam-3157	71	1	we	we	PRON
ejpam-3157	71	2	introduce	introduce	VERB
ejpam-3157	71	3	the	the	DET
ejpam-3157	71	4	following	follow	VERB
ejpam-3157	71	5	piecewise	piecewise	NOUN
ejpam-3157	71	6	linear	linear	PROPN
ejpam-3157	71	7	approximation	approximation	NOUN
ejpam-3157	71	8	:	:	PUNCT
ejpam-3157	71	9	v	v	NUM
ejpam-3157	71	10	h	h	NOUN
ejpam-3157	71	11	1	1	NUM
ejpam-3157	71	12	=	=	SYM
ejpam-3157	71	13			NUM
ejpam-3157	72	1	vh	vh	PROPN
ejpam-3157	72	2	∈	∈	PROPN
ejpam-3157	72	3	c2(ω	c2(ω	PRON
ejpam-3157	72	4	)	)	PUNCT
ejpam-3157	72	5	∩h1(ω	∩h1(ω	PROPN
ejpam-3157	72	6	)	)	PUNCT
ejpam-3157	72	7	:	:	PUNCT
ejpam-3157	73	1	vh	vh	NOUN
ejpam-3157	73	2	ij	ij	NOUN
ejpam-3157	73	3	=	=	PROPN
ejpam-3157	73	4	p1	p1	PROPN
ejpam-3157	73	5	∈	∈	PROPN
ejpam-3157	73	6	p1	p1	NOUN
ejpam-3157	73	7	and	and	CCONJ
ejpam-3157	73	8	vh(a	vh(a	NOUN
ejpam-3157	73	9	)	)	PUNCT
ejpam-3157	73	10	=	=	SYM
ejpam-3157	73	11	α	α	X
ejpam-3157	73	12	,	,	PUNCT
ejpam-3157	73	13	vh(b	vh(b	PUNCT
ejpam-3157	73	14	)	)	PUNCT
ejpam-3157	73	15	=	=	SYM
ejpam-3157	73	16	0	0	NUM
ejpam-3157	73	17	,	,	PUNCT
ejpam-3157	73	18			VERB
ejpam-3157	73	19	a.	a.	NOUN
ejpam-3157	73	20	allahem	allahem	PROPN
ejpam-3157	73	21	,	,	PUNCT
ejpam-3157	73	22	s.boulaaras	s.boulaara	NOUN
ejpam-3157	73	23	,	,	PUNCT
ejpam-3157	73	24	k.	k.	PROPN
ejpam-3157	73	25	zennir	zennir	PROPN
ejpam-3157	73	26	and	and	CCONJ
ejpam-3157	73	27	m.	m.	PROPN
ejpam-3157	73	28	haiour	haiour	PROPN
ejpam-3157	73	29	/	/	SYM
ejpam-3157	73	30	eur	eur	PROPN
ejpam-3157	73	31	.	.	PUNCT
ejpam-3157	74	1	j.	j.	PROPN
ejpam-3157	74	2	pure	pure	PROPN
ejpam-3157	74	3	appl	appl	PROPN
ejpam-3157	74	4	.	.	PROPN
ejpam-3157	74	5	math	math	PROPN
ejpam-3157	74	6	,	,	PUNCT
ejpam-3157	74	7	11	11	NUM
ejpam-3157	74	8	(	(	PUNCT
ejpam-3157	74	9	1	1	NUM
ejpam-3157	74	10	)	)	PUNCT
ejpam-3157	74	11	(	(	PUNCT
ejpam-3157	74	12	2018	2018	NUM
ejpam-3157	74	13	)	)	PUNCT
ejpam-3157	74	14	,	,	PUNCT
ejpam-3157	74	15	110	110	NUM
ejpam-3157	74	16	-	-	SYM
ejpam-3157	74	17	137	137	NUM
ejpam-3157	74	18	114	114	NUM
ejpam-3157	75	1	where	where	SCONJ
ejpam-3157	75	2	vh	vh	PROPN
ejpam-3157	75	3	=	=	SYM
ejpam-3157	75	4	n−1∑	n−1∑	PROPN
ejpam-3157	75	5	j=1	j=1	PROPN
ejpam-3157	75	6	vj(z)ϕj(z	vj(z)ϕj(z	PROPN
ejpam-3157	75	7	)	)	PUNCT
ejpam-3157	75	8	,	,	PUNCT
ejpam-3157	75	9	u	u	NOUN
ejpam-3157	75	10	h	h	NOUN
ejpam-3157	75	11	=	=	SYM
ejpam-3157	75	12	n∑	n∑	PROPN
ejpam-3157	75	13	i=0	i=0	PROPN
ejpam-3157	75	14	ui(t)ϕi(z	ui(t)ϕi(z	ADV
ejpam-3157	75	15	)	)	PUNCT
ejpam-3157	75	16	with	with	ADP
ejpam-3157	75	17	{	{	PUNCT
ejpam-3157	75	18	ϕi}i=1,	ϕi}i=1,	NOUN
ejpam-3157	75	19	...	...	PUNCT
ejpam-3157	75	20	,n	,n	PUNCT
ejpam-3157	75	21	form	form	VERB
ejpam-3157	75	22	a	a	DET
ejpam-3157	75	23	vector	vector	NOUN
ejpam-3157	75	24	basis	basis	NOUN
ejpam-3157	75	25	uh	uh	INTJ
ejpam-3157	75	26	and	and	CCONJ
ejpam-3157	75	27	{	{	PUNCT
ejpam-3157	75	28	ϕj}j=1,	ϕj}j=1,	NOUN
ejpam-3157	75	29	...	...	PUNCT
ejpam-3157	75	30	,n	,n	PUNCT
ejpam-3157	75	31	for	for	ADP
ejpam-3157	75	32	vh	vh	PROPN
ejpam-3157	75	33	.	.	PROPN
ejpam-3157	75	34	problem	problem	NOUN
ejpam-3157	75	35	(	(	PUNCT
ejpam-3157	75	36	3	3	X
ejpam-3157	75	37	)	)	PUNCT
ejpam-3157	75	38	is	be	AUX
ejpam-3157	75	39	equivalent	equivalent	ADJ
ejpam-3157	75	40	to∫	to∫	PROPN
ejpam-3157	75	41	ω	ω	PROPN
ejpam-3157	75	42	ut.v	ut.v	ADJ
ejpam-3157	75	43	︸	︸	X
ejpam-3157	75	44	︷︷	︷︷	PROPN
ejpam-3157	75	45	︸	︸	X
ejpam-3157	75	46	dz	dz	PROPN
ejpam-3157	76	1	a	a	DET
ejpam-3157	76	2	+	+	NOUN
ejpam-3157	76	3	d	d	PROPN
ejpam-3157	76	4	(	(	PUNCT
ejpam-3157	76	5	∫	∫	PROPN
ejpam-3157	76	6	ω	ω	PROPN
ejpam-3157	76	7	uzz.vz	uzz.vz	PROPN
ejpam-3157	76	8	︸	︸	X
ejpam-3157	76	9	︷︷	︷︷	PROPN
ejpam-3157	76	10	︸	︸	X
ejpam-3157	76	11	dz	dz	PROPN
ejpam-3157	76	12	b	b	PROPN
ejpam-3157	76	13	−	−	PROPN
ejpam-3157	76	14	∫	∫	PROPN
ejpam-3157	76	15	γ	γ	PROPN
ejpam-3157	76	16	uzz	uzz	PROPN
ejpam-3157	76	17	.	.	PUNCT
ejpam-3157	77	1	−→η	−→η	PROPN
ejpam-3157	77	2	.v.dσ	.v.dσ	PROPN
ejpam-3157	78	1	︸	︸	X
ejpam-3157	78	2	︷︷	︷︷	NOUN
ejpam-3157	78	3	︸	︸	X
ejpam-3157	78	4	)	)	PUNCT
ejpam-3157	78	5	c	c	NOUN
ejpam-3157	79	1	=	=	SYM
ejpam-3157	79	2	∫	∫	PROPN
ejpam-3157	79	3	ω	ω	NUM
ejpam-3157	79	4	fvdz	fvdz	NOUN
ejpam-3157	79	5	.	.	PUNCT
ejpam-3157	80	1	(	(	PUNCT
ejpam-3157	80	2	4	4	X
ejpam-3157	80	3	)	)	PUNCT
ejpam-3157	80	4	terms	term	NOUN
ejpam-3157	80	5	b	b	NOUN
ejpam-3157	80	6	and	and	CCONJ
ejpam-3157	80	7	c	c	PROPN
ejpam-3157	80	8	are	be	AUX
ejpam-3157	80	9	obtained	obtain	VERB
ejpam-3157	80	10	using	use	VERB
ejpam-3157	80	11	green	green	PROPN
ejpam-3157	80	12	’s	’s	PART
ejpam-3157	80	13	formula	formula	NOUN
ejpam-3157	80	14	as	as	SCONJ
ejpam-3157	80	15	:	:	PUNCT
ejpam-3157	80	16	∫	∫	PROPN
ejpam-3157	80	17	ω	ω	PROPN
ejpam-3157	80	18	uzzvz.vdz	uzzvz.vdz	X
ejpam-3157	80	19	=	=	SYM
ejpam-3157	80	20	∫	∫	PROPN
ejpam-3157	80	21	ω	ω	PROPN
ejpam-3157	80	22	uzvzdz	uzvzdz	NOUN
ejpam-3157	80	23	︸	︸	X
ejpam-3157	80	24	︷︷	︷︷	PROPN
ejpam-3157	81	1	︸	︸	ADP
ejpam-3157	81	2	b	b	PROPN
ejpam-3157	81	3	−	−	PROPN
ejpam-3157	81	4	∫	∫	PROPN
ejpam-3157	81	5	γ	γ	X
ejpam-3157	81	6	uz.η.v.dσ	uz.η.v.dσ	PROPN
ejpam-3157	81	7	︸	︸	X
ejpam-3157	81	8	︷︷	︷︷	PROPN
ejpam-3157	81	9	︸	︸	X
ejpam-3157	81	10	)	)	PUNCT
ejpam-3157	81	11	c	c	NOUN
ejpam-3157	81	12	=	=	SYM
ejpam-3157	81	13	∫	∫	PROPN
ejpam-3157	81	14	ω	ω	PROPN
ejpam-3157	81	15			PROPN
ejpam-3157	81	16	∂	∂	NOUN
ejpam-3157	81	17	∂z	∂z	PRON
ejpam-3157	82	1	n−1∑	n−1∑	NUM
ejpam-3157	82	2	i=1	i=1	PROPN
ejpam-3157	82	3	ui(t)ϕi(z	ui(t)ϕi(z	PROPN
ejpam-3157	82	4	)	)	PUNCT
ejpam-3157	82	5	∂	∂	NUM
ejpam-3157	83	1	∂z	∂z	PROPN
ejpam-3157	83	2	n−1∑	n−1∑	NUM
ejpam-3157	83	3	j=1	j=1	PROPN
ejpam-3157	83	4	vj(z)ϕj(z	vj(z)ϕj(z	PROPN
ejpam-3157	83	5	)	)	PUNCT
ejpam-3157	83	6			PROPN
ejpam-3157	83	7	dz	dz	PROPN
ejpam-3157	83	8	︸	︸	X
ejpam-3157	83	9	︷︷	︷︷	PROPN
ejpam-3157	83	10	︸	︸	ADP
ejpam-3157	84	1	b	b	PROPN
ejpam-3157	84	2	−	−	PROPN
ejpam-3157	84	3	∫	∫	PROPN
ejpam-3157	84	4	γ	γ	X
ejpam-3157	84	5	uz	uz	PROPN
ejpam-3157	84	6	.	.	PUNCT
ejpam-3157	85	1	−→η	−→η	PROPN
ejpam-3157	85	2	.v.dσ	.v.dσ	PROPN
ejpam-3157	86	1	︸	︸	X
ejpam-3157	86	2	︷︷	︷︷	NOUN
ejpam-3157	86	3	︸	︸	X
ejpam-3157	86	4	)	)	PUNCT
ejpam-3157	86	5	c	c	NOUN
ejpam-3157	86	6	.	.	PUNCT
ejpam-3157	87	1	to	to	PART
ejpam-3157	87	2	eliminate	eliminate	VERB
ejpam-3157	87	3	the	the	DET
ejpam-3157	87	4	term	term	NOUN
ejpam-3157	87	5	c	c	NOUN
ejpam-3157	87	6	,	,	PUNCT
ejpam-3157	87	7	we	we	PRON
ejpam-3157	87	8	can	can	AUX
ejpam-3157	87	9	change	change	VERB
ejpam-3157	87	10	the	the	DET
ejpam-3157	87	11	summation	summation	NOUN
ejpam-3157	87	12	of	of	ADP
ejpam-3157	87	13	u	u	NOUN
ejpam-3157	87	14	from	from	ADP
ejpam-3157	87	15	1	1	NUM
ejpam-3157	87	16	,	,	PUNCT
ejpam-3157	87	17	...	...	PUNCT
ejpam-3157	87	18	,	,	PUNCT
ejpam-3157	87	19	n	n	CCONJ
ejpam-3157	87	20	−	−	PROPN
ejpam-3157	87	21	1	1	NUM
ejpam-3157	87	22	to	to	ADP
ejpam-3157	87	23	0	0	NUM
ejpam-3157	87	24	,	,	PUNCT
ejpam-3157	87	25	n	n	CCONJ
ejpam-3157	87	26	(	(	PUNCT
ejpam-3157	87	27	that	that	PRON
ejpam-3157	87	28	is	be	AUX
ejpam-3157	87	29	to	to	PART
ejpam-3157	87	30	say	say	VERB
ejpam-3157	87	31	,	,	PUNCT
ejpam-3157	87	32	to	to	PART
ejpam-3157	87	33	consider	consider	VERB
ejpam-3157	87	34	the	the	DET
ejpam-3157	87	35	boundaries	boundary	NOUN
ejpam-3157	87	36	α	α	NOUN
ejpam-3157	87	37	and	and	CCONJ
ejpam-3157	87	38	β	β	NOUN
ejpam-3157	87	39	)	)	PUNCT
ejpam-3157	87	40	,	,	PUNCT
ejpam-3157	87	41	thus	thus	ADV
ejpam-3157	87	42	∫	∫	PROPN
ejpam-3157	87	43	ω	ω	NUM
ejpam-3157	87	44	uzzvdz	uzzvdz	PROPN
ejpam-3157	87	45	=	=	SYM
ejpam-3157	87	46	∫	∫	PROPN
ejpam-3157	87	47	ω	ω	PROPN
ejpam-3157	87	48			PROPN
ejpam-3157	87	49	∂	∂	X
ejpam-3157	88	1	∂z	∂z	PROPN
ejpam-3157	88	2	n∑	n∑	PROPN
ejpam-3157	88	3	i=0	i=0	PROPN
ejpam-3157	88	4	ui(t)ϕi(z	ui(t)ϕi(z	PROPN
ejpam-3157	88	5	)	)	PUNCT
ejpam-3157	88	6	∂	∂	NUM
ejpam-3157	88	7	∂z	∂z	PROPN
ejpam-3157	88	8	n−1∑	n−1∑	NUM
ejpam-3157	88	9	j=1	j=1	PROPN
ejpam-3157	88	10	vj(z)ϕj(z	vj(z)ϕj(z	PROPN
ejpam-3157	88	11	)	)	PUNCT
ejpam-3157	88	12			PRON
ejpam-3157	88	13	dz	dz	PROPN
ejpam-3157	88	14	a.	a.	NOUN
ejpam-3157	88	15	allahem	allahem	PROPN
ejpam-3157	88	16	,	,	PUNCT
ejpam-3157	88	17	s.boulaaras	s.boulaara	NOUN
ejpam-3157	88	18	,	,	PUNCT
ejpam-3157	88	19	k.	k.	PROPN
ejpam-3157	88	20	zennir	zennir	PROPN
ejpam-3157	88	21	and	and	CCONJ
ejpam-3157	88	22	m.	m.	PROPN
ejpam-3157	88	23	haiour	haiour	PROPN
ejpam-3157	88	24	/	/	SYM
ejpam-3157	88	25	eur	eur	PROPN
ejpam-3157	88	26	.	.	PUNCT
ejpam-3157	89	1	j.	j.	PROPN
ejpam-3157	89	2	pure	pure	PROPN
ejpam-3157	89	3	appl	appl	PROPN
ejpam-3157	89	4	.	.	PROPN
ejpam-3157	89	5	math	math	PROPN
ejpam-3157	89	6	,	,	PUNCT
ejpam-3157	89	7	11	11	NUM
ejpam-3157	89	8	(	(	PUNCT
ejpam-3157	89	9	1	1	NUM
ejpam-3157	89	10	)	)	PUNCT
ejpam-3157	89	11	(	(	PUNCT
ejpam-3157	89	12	2018	2018	NUM
ejpam-3157	89	13	)	)	PUNCT
ejpam-3157	89	14	,	,	PUNCT
ejpam-3157	89	15	110	110	NUM
ejpam-3157	89	16	-	-	SYM
ejpam-3157	89	17	137	137	NUM
ejpam-3157	89	18	115	115	NUM
ejpam-3157	89	19	with	with	ADP
ejpam-3157	89	20	n∑	n∑	PROPN
ejpam-3157	89	21	i=0	i=0	PROPN
ejpam-3157	89	22	ui(t)ϕi(z	ui(t)ϕi(z	PRON
ejpam-3157	89	23	)	)	PUNCT
ejpam-3157	89	24	=	=	SYM
ejpam-3157	89	25	αϕ0(z	αϕ0(z	PROPN
ejpam-3157	89	26	)	)	PUNCT
ejpam-3157	90	1	+	+	CCONJ
ejpam-3157	90	2	n−1∑	n−1∑	PROPN
ejpam-3157	90	3	i=1	i=1	PROPN
ejpam-3157	90	4	ui(t)ϕi(z	ui(t)ϕi(z	ADV
ejpam-3157	90	5	)	)	PUNCT
ejpam-3157	91	1	+	+	NUM
ejpam-3157	91	2	βϕn	βϕn	NOUN
ejpam-3157	91	3	(	(	PUNCT
ejpam-3157	91	4	z	z	NOUN
ejpam-3157	91	5	)	)	PUNCT
ejpam-3157	91	6	.	.	PUNCT
ejpam-3157	92	1	and	and	CCONJ
ejpam-3157	92	2	a	a	DET
ejpam-3157	92	3	=	=	SYM
ejpam-3157	92	4	∂	∂	NOUN
ejpam-3157	92	5	∂t	∂t	PROPN
ejpam-3157	92	6	(	(	PUNCT
ejpam-3157	92	7	uh	uh	INTJ
ejpam-3157	92	8	,	,	PUNCT
ejpam-3157	92	9	vh	vh	PROPN
ejpam-3157	92	10	)	)	PUNCT
ejpam-3157	92	11	,	,	PUNCT
ejpam-3157	92	12	b	b	X
ejpam-3157	92	13	=	=	SYM
ejpam-3157	92	14	a(uh	a(uh	PROPN
ejpam-3157	92	15	,	,	PUNCT
ejpam-3157	92	16	vh	vh	PROPN
ejpam-3157	92	17	)	)	PUNCT
ejpam-3157	92	18	.	.	PUNCT
ejpam-3157	93	1	so	so	ADV
ejpam-3157	93	2	equation	equation	NOUN
ejpam-3157	93	3	(	(	PUNCT
ejpam-3157	93	4	4	4	NUM
ejpam-3157	93	5	)	)	PUNCT
ejpam-3157	93	6	is	be	AUX
ejpam-3157	93	7	written	write	VERB
ejpam-3157	93	8	in	in	ADP
ejpam-3157	93	9	the	the	DET
ejpam-3157	93	10	following	follow	VERB
ejpam-3157	93	11	variational	variational	ADJ
ejpam-3157	93	12	form	form	NOUN
ejpam-3157	93	13	:	:	PUNCT
ejpam-3157	93	14	∂	∂	NUM
ejpam-3157	93	15	∂t	∂t	PROPN
ejpam-3157	93	16	(	(	PUNCT
ejpam-3157	93	17	uh	uh	INTJ
ejpam-3157	93	18	,	,	PUNCT
ejpam-3157	93	19	vh	vh	PROPN
ejpam-3157	93	20	)	)	PUNCT
ejpam-3157	93	21	+	+	PROPN
ejpam-3157	93	22	d.a(uh	d.a(uh	PROPN
ejpam-3157	93	23	,	,	PUNCT
ejpam-3157	93	24	vh	vh	PROPN
ejpam-3157	93	25	)	)	PUNCT
ejpam-3157	93	26	=	=	PUNCT
ejpam-3157	93	27	(	(	PUNCT
ejpam-3157	93	28	fh	fh	PROPN
ejpam-3157	93	29	,	,	PUNCT
ejpam-3157	93	30	vh	vh	PROPN
ejpam-3157	93	31	)	)	PUNCT
ejpam-3157	93	32	.	.	PUNCT
ejpam-3157	94	1	(	(	PUNCT
ejpam-3157	94	2	5	5	X
ejpam-3157	94	3	)	)	PUNCT
ejpam-3157	94	4	2.1.2	2.1.2	NUM
ejpam-3157	94	5	.	.	NOUN
ejpam-3157	94	6	time	time	NOUN
ejpam-3157	94	7	discretization	discretization	NOUN
ejpam-3157	94	8	in	in	ADP
ejpam-3157	94	9	a	a	DET
ejpam-3157	94	10	second	second	ADJ
ejpam-3157	94	11	step	step	NOUN
ejpam-3157	94	12	,	,	PUNCT
ejpam-3157	94	13	we	we	PRON
ejpam-3157	94	14	discretize	discretize	VERB
ejpam-3157	94	15	(	(	PUNCT
ejpam-3157	94	16	5	5	NUM
ejpam-3157	94	17	)	)	PUNCT
ejpam-3157	94	18	with	with	ADP
ejpam-3157	94	19	respect	respect	NOUN
ejpam-3157	94	20	to	to	ADP
ejpam-3157	94	21	time	time	NOUN
ejpam-3157	94	22	by	by	ADP
ejpam-3157	94	23	using	use	VERB
ejpam-3157	94	24	theta	theta	NOUN
ejpam-3157	94	25	scheme	scheme	NOUN
ejpam-3157	94	26	.	.	PUNCT
ejpam-3157	95	1	we	we	PRON
ejpam-3157	95	2	are	be	AUX
ejpam-3157	95	3	therefore	therefore	ADV
ejpam-3157	95	4	looking	look	VERB
ejpam-3157	95	5	for	for	ADP
ejpam-3157	95	6	a	a	DET
ejpam-3157	95	7	series	series	NOUN
ejpam-3157	95	8	of	of	ADP
ejpam-3157	95	9	elements	element	NOUN
ejpam-3157	95	10	uhn	uhn	X
ejpam-3157	95	11	∈	∈	PROPN
ejpam-3157	95	12	v	v	ADP
ejpam-3157	95	13	h	h	NOUN
ejpam-3157	95	14	which	which	PRON
ejpam-3157	95	15	will	will	AUX
ejpam-3157	95	16	have	have	VERB
ejpam-3157	95	17	to	to	PART
ejpam-3157	95	18	approach	approach	VERB
ejpam-3157	95	19	uh(tn	uh(tn	PROPN
ejpam-3157	95	20	)	)	PUNCT
ejpam-3157	95	21	,	,	PUNCT
ejpam-3157	95	22	tn	tn	PROPN
ejpam-3157	95	23	=	=	SYM
ejpam-3157	95	24	n∆t	n∆t	PROPN
ejpam-3157	95	25	and	and	CCONJ
ejpam-3157	95	26	which	which	PRON
ejpam-3157	95	27	are	be	AUX
ejpam-3157	95	28	defined	define	VERB
ejpam-3157	95	29	by	by	ADP
ejpam-3157	95	30	the	the	DET
ejpam-3157	95	31	following	follow	VERB
ejpam-3157	95	32	formula	formula	NOUN
ejpam-3157	95	33	:	:	PUNCT
ejpam-3157	95	34	find	find	VERB
ejpam-3157	95	35	uhn	uhn	PROPN
ejpam-3157	95	36	∈	∈	PROPN
ejpam-3157	95	37	v	v	ADP
ejpam-3157	95	38	h	h	NOUN
ejpam-3157	95	39	,	,	PUNCT
ejpam-3157	95	40	for	for	ADP
ejpam-3157	95	41	all	all	DET
ejpam-3157	95	42	vh	vh	PROPN
ejpam-3157	95	43	∈	∈	PROPN
ejpam-3157	95	44	v	v	ADP
ejpam-3157	95	45	h	h	NOUN
ejpam-3157	95	46	and	and	CCONJ
ejpam-3157	95	47	θ	θ	PROPN
ejpam-3157	95	48	∈	∈	PROPN
ejpam-3157	96	1	[	[	X
ejpam-3157	96	2	0	0	NUM
ejpam-3157	96	3	,	,	PUNCT
ejpam-3157	96	4	1	1	NUM
ejpam-3157	96	5	]	]	PUNCT
ejpam-3157	96	6			INTJ
ejpam-3157	96	7	(	(	PUNCT
ejpam-3157	96	8	uhn+1	uhn+1	VERB
ejpam-3157	96	9	−	−	NOUN
ejpam-3157	96	10	uhn	uhn	PROPN
ejpam-3157	96	11	∆t	∆t	PROPN
ejpam-3157	96	12	,	,	PUNCT
ejpam-3157	96	13	vh	vh	PROPN
ejpam-3157	96	14	)	)	PUNCT
ejpam-3157	97	1	+	+	NOUN
ejpam-3157	97	2	da	da	X
ejpam-3157	97	3	(	(	PUNCT
ejpam-3157	97	4	θuhn+1	θuhn+1	PROPN
ejpam-3157	97	5	+	+	CCONJ
ejpam-3157	97	6	(	(	PUNCT
ejpam-3157	97	7	1−	1−	NUM
ejpam-3157	97	8	θ)uhn	θ)uhn	PROPN
ejpam-3157	97	9	,	,	PUNCT
ejpam-3157	97	10	vh	vh	PROPN
ejpam-3157	97	11	)	)	PUNCT
ejpam-3157	98	1	=	=	PUNCT
ejpam-3157	98	2	(	(	PUNCT
ejpam-3157	98	3	θfn+1	θfn+1	VERB
ejpam-3157	98	4	h	h	NOUN
ejpam-3157	98	5	+	+	CCONJ
ejpam-3157	98	6	(	(	PUNCT
ejpam-3157	98	7	1−	1−	NUM
ejpam-3157	98	8	θ	θ	NOUN
ejpam-3157	98	9	)	)	PUNCT
ejpam-3157	98	10	fnh	fnh	PROPN
ejpam-3157	98	11	,	,	PUNCT
ejpam-3157	98	12	vh	vh	PROPN
ejpam-3157	98	13	)	)	PUNCT
ejpam-3157	98	14	.	.	PUNCT
ejpam-3157	99	1	(	(	PUNCT
ejpam-3157	99	2	6	6	NUM
ejpam-3157	99	3	)	)	PUNCT
ejpam-3157	99	4	equation	equation	NOUN
ejpam-3157	99	5	(	(	PUNCT
ejpam-3157	99	6	6	6	NUM
ejpam-3157	99	7	)	)	PUNCT
ejpam-3157	99	8	equivalent	equivalent	NOUN
ejpam-3157	99	9	to	to	PROPN
ejpam-3157	99	10	(	(	PUNCT
ejpam-3157	99	11	uhn+1	uhn+1	NOUN
ejpam-3157	99	12	,	,	PUNCT
ejpam-3157	99	13	v	v	NOUN
ejpam-3157	99	14	h	h	NOUN
ejpam-3157	99	15	)	)	PUNCT
ejpam-3157	100	1	+	+	VERB
ejpam-3157	100	2	dθ∆t.a	dθ∆t.a	NOUN
ejpam-3157	100	3	(	(	PUNCT
ejpam-3157	100	4	uhn+1	uhn+1	NOUN
ejpam-3157	100	5	,	,	PUNCT
ejpam-3157	100	6	v	v	NOUN
ejpam-3157	100	7	h	h	NOUN
ejpam-3157	100	8	)	)	PUNCT
ejpam-3157	100	9	+	+	NOUN
ejpam-3157	100	10	(	(	PUNCT
ejpam-3157	100	11	θfn+1	θfn+1	VERB
ejpam-3157	100	12	h	h	PROPN
ejpam-3157	100	13	,	,	PUNCT
ejpam-3157	100	14	vh	vh	PROPN
ejpam-3157	100	15	)	)	PUNCT
ejpam-3157	100	16	=	=	PUNCT
ejpam-3157	100	17	(	(	PUNCT
ejpam-3157	100	18	uhn	uhn	PROPN
ejpam-3157	100	19	,	,	PUNCT
ejpam-3157	100	20	v	v	NOUN
ejpam-3157	100	21	h	h	NOUN
ejpam-3157	100	22	)	)	PUNCT
ejpam-3157	100	23	−d	−d	PROPN
ejpam-3157	100	24	(	(	PUNCT
ejpam-3157	100	25	1−	1−	NUM
ejpam-3157	100	26	θ	θ	NOUN
ejpam-3157	100	27	)	)	PUNCT
ejpam-3157	100	28	∆t	∆t	PROPN
ejpam-3157	100	29	(	(	PUNCT
ejpam-3157	100	30	a	a	DET
ejpam-3157	100	31	(	(	PUNCT
ejpam-3157	100	32	uhn	uhn	PROPN
ejpam-3157	100	33	,	,	PUNCT
ejpam-3157	100	34	v	v	NOUN
ejpam-3157	100	35	h	h	NOUN
ejpam-3157	100	36	)	)	PUNCT
ejpam-3157	101	1	+	+	CCONJ
ejpam-3157	101	2	(	(	PUNCT
ejpam-3157	101	3	fnh	fnh	NOUN
ejpam-3157	101	4	,	,	PUNCT
ejpam-3157	101	5	v	v	NOUN
ejpam-3157	101	6	h	h	NOUN
ejpam-3157	101	7	)	)	PUNCT
ejpam-3157	101	8	)	)	PUNCT
ejpam-3157	101	9	.	.	PUNCT
ejpam-3157	102	1	(	(	PUNCT
ejpam-3157	102	2	7	7	X
ejpam-3157	102	3	)	)	PUNCT
ejpam-3157	102	4	by	by	ADP
ejpam-3157	102	5	recurrence	recurrence	NOUN
ejpam-3157	102	6	,	,	PUNCT
ejpam-3157	102	7	given	give	VERB
ejpam-3157	102	8	uh0	uh0	NOUN
ejpam-3157	102	9	,	,	PUNCT
ejpam-3157	102	10	we	we	PRON
ejpam-3157	102	11	have	have	VERB
ejpam-3157	102	12	the	the	DET
ejpam-3157	102	13	existence	existence	NOUN
ejpam-3157	102	14	and	and	CCONJ
ejpam-3157	102	15	uniqueness	uniqueness	NOUN
ejpam-3157	102	16	using	use	VERB
ejpam-3157	102	17	lax	lax	PROPN
ejpam-3157	102	18	-	-	PUNCT
ejpam-3157	102	19	milgram	milgram	NOUN
ejpam-3157	102	20	theorem	theorem	NOUN
ejpam-3157	102	21	.	.	PROPN
ejpam-3157	103	1	3	3	X
ejpam-3157	103	2	.	.	X
ejpam-3157	103	3	stability	stability	NOUN
ejpam-3157	103	4	analysis	analysis	NOUN
ejpam-3157	103	5	of	of	ADP
ejpam-3157	103	6	the	the	DET
ejpam-3157	103	7	theta	theta	NOUN
ejpam-3157	103	8	scheme	scheme	NOUN
ejpam-3157	103	9	to	to	PART
ejpam-3157	103	10	study	study	VERB
ejpam-3157	103	11	the	the	DET
ejpam-3157	103	12	stability	stability	NOUN
ejpam-3157	104	1	,	,	PUNCT
ejpam-3157	104	2	we	we	PRON
ejpam-3157	104	3	use	use	VERB
ejpam-3157	104	4	the	the	DET
ejpam-3157	104	5	energy	energy	NOUN
ejpam-3157	104	6	increment	increment	NOUN
ejpam-3157	104	7	technique	technique	NOUN
ejpam-3157	104	8	,	,	PUNCT
ejpam-3157	104	9	which	which	PRON
ejpam-3157	104	10	allow	allow	VERB
ejpam-3157	104	11	to	to	PART
ejpam-3157	104	12	conclude	conclude	VERB
ejpam-3157	104	13	without	without	ADP
ejpam-3157	104	14	hypothesis	hypothesis	NOUN
ejpam-3157	104	15	on	on	ADP
ejpam-3157	104	16	v	v	NUM
ejpam-3157	104	17	h	h	NOUN
ejpam-3157	104	18	when	when	SCONJ
ejpam-3157	104	19	the	the	DET
ejpam-3157	104	20	scheme	scheme	NOUN
ejpam-3157	104	21	is	be	AUX
ejpam-3157	104	22	unconditionally	unconditionally	ADV
ejpam-3157	104	23	stable	stable	ADJ
ejpam-3157	104	24	.	.	PUNCT
ejpam-3157	105	1	for	for	ADP
ejpam-3157	105	2	the	the	DET
ejpam-3157	105	3	case	case	NOUN
ejpam-3157	105	4	of	of	ADP
ejpam-3157	105	5	a	a	DET
ejpam-3157	105	6	homogeneous	homogeneous	ADJ
ejpam-3157	105	7	and	and	CCONJ
ejpam-3157	105	8	isotropic	isotropic	ADJ
ejpam-3157	105	9	soil	soil	NOUN
ejpam-3157	105	10	,	,	PUNCT
ejpam-3157	105	11	the	the	DET
ejpam-3157	105	12	thermal	thermal	ADJ
ejpam-3157	105	13	balance	balance	NOUN
ejpam-3157	105	14	on	on	ADP
ejpam-3157	105	15	a	a	DET
ejpam-3157	105	16	volume	volume	NOUN
ejpam-3157	105	17	element	element	NOUN
ejpam-3157	105	18	,	,	PUNCT
ejpam-3157	105	19	gives	give	VERB
ejpam-3157	105	20	rise	rise	NOUN
ejpam-3157	105	21	according	accord	VERB
ejpam-3157	105	22	to	to	ADP
ejpam-3157	105	23	the	the	DET
ejpam-3157	105	24	depth	depth	NOUN
ejpam-3157	105	25	z	z	NOUN
ejpam-3157	105	26	,	,	PUNCT
ejpam-3157	105	27	to	to	ADP
ejpam-3157	105	28	the	the	DET
ejpam-3157	105	29	equation	equation	NOUN
ejpam-3157	105	30	of	of	ADP
ejpam-3157	105	31	propagation	propagation	NOUN
ejpam-3157	105	32	of	of	ADP
ejpam-3157	105	33	the	the	DET
ejpam-3157	105	34	heat	heat	NOUN
ejpam-3157	105	35	without	without	ADP
ejpam-3157	105	36	internal	internal	ADJ
ejpam-3157	105	37	a.	a.	NOUN
ejpam-3157	105	38	allahem	allahem	PROPN
ejpam-3157	105	39	,	,	PUNCT
ejpam-3157	105	40	s.boulaaras	s.boulaara	NOUN
ejpam-3157	105	41	,	,	PUNCT
ejpam-3157	105	42	k.	k.	PROPN
ejpam-3157	105	43	zennir	zennir	PROPN
ejpam-3157	105	44	and	and	CCONJ
ejpam-3157	105	45	m.	m.	PROPN
ejpam-3157	105	46	haiour	haiour	PROPN
ejpam-3157	105	47	/	/	SYM
ejpam-3157	105	48	eur	eur	PROPN
ejpam-3157	105	49	.	.	PUNCT
ejpam-3157	106	1	j.	j.	PROPN
ejpam-3157	106	2	pure	pure	PROPN
ejpam-3157	106	3	appl	appl	PROPN
ejpam-3157	106	4	.	.	PROPN
ejpam-3157	106	5	math	math	PROPN
ejpam-3157	106	6	,	,	PUNCT
ejpam-3157	106	7	11	11	NUM
ejpam-3157	106	8	(	(	PUNCT
ejpam-3157	106	9	1	1	NUM
ejpam-3157	106	10	)	)	PUNCT
ejpam-3157	106	11	(	(	PUNCT
ejpam-3157	106	12	2018	2018	NUM
ejpam-3157	106	13	)	)	PUNCT
ejpam-3157	106	14	,	,	PUNCT
ejpam-3157	106	15	110	110	NUM
ejpam-3157	106	16	-	-	SYM
ejpam-3157	106	17	137	137	NUM
ejpam-3157	106	18	116	116	NUM
ejpam-3157	106	19	production	production	NOUN
ejpam-3157	106	20	of	of	ADP
ejpam-3157	106	21	energy	energy	NOUN
ejpam-3157	106	22	(	(	PUNCT
ejpam-3157	106	23	the	the	DET
ejpam-3157	106	24	right	right	ADJ
ejpam-3157	106	25	hand	hand	NOUN
ejpam-3157	106	26	side	side	NOUN
ejpam-3157	106	27	of	of	ADP
ejpam-3157	106	28	the	the	DET
ejpam-3157	106	29	problem	problem	NOUN
ejpam-3157	106	30	equal	equal	ADJ
ejpam-3157	106	31	zero	zero	NUM
ejpam-3157	106	32	)	)	PUNCT
ejpam-3157	106	33	,	,	PUNCT
ejpam-3157	106	34	thus	thus	ADV
ejpam-3157	106	35	we	we	PRON
ejpam-3157	106	36	can	can	AUX
ejpam-3157	106	37	write	write	VERB
ejpam-3157	106	38	equation	equation	NOUN
ejpam-3157	106	39	(	(	PUNCT
ejpam-3157	106	40	7	7	NUM
ejpam-3157	106	41	)	)	PUNCT
ejpam-3157	106	42	as	as	ADP
ejpam-3157	106	43	:	:	PUNCT
ejpam-3157	106	44	(	(	PUNCT
ejpam-3157	106	45	uhn+1	uhn+1	VERB
ejpam-3157	106	46	−	−	NOUN
ejpam-3157	106	47	uhn	uhn	NOUN
ejpam-3157	106	48	∆t	∆t	PROPN
ejpam-3157	106	49	,	,	PUNCT
ejpam-3157	106	50	vh	vh	PROPN
ejpam-3157	106	51	)	)	PUNCT
ejpam-3157	106	52	=	=	PUNCT
ejpam-3157	107	1	d	d	X
ejpam-3157	107	2	(	(	PUNCT
ejpam-3157	107	3	θ	θ	NOUN
ejpam-3157	107	4	−	−	PROPN
ejpam-3157	107	5	1	1	NUM
ejpam-3157	107	6	)	)	PUNCT
ejpam-3157	107	7	a	a	PRON
ejpam-3157	107	8	(	(	PUNCT
ejpam-3157	107	9	uhn	uhn	PROPN
ejpam-3157	107	10	,	,	PUNCT
ejpam-3157	107	11	v	v	NOUN
ejpam-3157	107	12	h	h	NOUN
ejpam-3157	107	13	)	)	PUNCT
ejpam-3157	107	14	−dθa	−dθa	NOUN
ejpam-3157	107	15	(	(	PUNCT
ejpam-3157	107	16	uhn+1	uhn+1	NOUN
ejpam-3157	107	17	,	,	PUNCT
ejpam-3157	107	18	v	v	NOUN
ejpam-3157	107	19	h	h	NOUN
ejpam-3157	107	20	)	)	PUNCT
ejpam-3157	107	21	=	=	VERB
ejpam-3157	108	1	−d	−d	ADJ
ejpam-3157	108	2	[	[	PUNCT
ejpam-3157	108	3	a	a	X
ejpam-3157	108	4	(	(	PUNCT
ejpam-3157	108	5	(	(	PUNCT
ejpam-3157	108	6	1−	1−	NUM
ejpam-3157	108	7	θ)uhn	θ)uhn	PROPN
ejpam-3157	108	8	,	,	PUNCT
ejpam-3157	108	9	vh	vh	PROPN
ejpam-3157	108	10	)	)	PUNCT
ejpam-3157	109	1	+	+	CCONJ
ejpam-3157	109	2	a	a	DET
ejpam-3157	109	3	(	(	PUNCT
ejpam-3157	109	4	θuhn+1	θuhn+1	PROPN
ejpam-3157	109	5	,	,	PUNCT
ejpam-3157	109	6	v	v	NOUN
ejpam-3157	109	7	h	h	NOUN
ejpam-3157	109	8	)	)	PUNCT
ejpam-3157	109	9	]	]	PUNCT
ejpam-3157	110	1	=	=	SYM
ejpam-3157	110	2	−d	−d	PROPN
ejpam-3157	110	3	[	[	PUNCT
ejpam-3157	110	4	a	a	X
ejpam-3157	110	5	(	(	PUNCT
ejpam-3157	110	6	(	(	PUNCT
ejpam-3157	110	7	1−	1−	NUM
ejpam-3157	110	8	θ)uhn	θ)uhn	NOUN
ejpam-3157	110	9	+	+	CCONJ
ejpam-3157	110	10	θuhn+1	θuhn+1	ADJ
ejpam-3157	110	11	,	,	PUNCT
ejpam-3157	110	12	v	v	NOUN
ejpam-3157	110	13	h	h	NOUN
ejpam-3157	110	14	)	)	PUNCT
ejpam-3157	110	15	]	]	PUNCT
ejpam-3157	111	1	=	=	SYM
ejpam-3157	111	2	−d	−d	PROPN
ejpam-3157	111	3	[	[	PUNCT
ejpam-3157	111	4	a	a	DET
ejpam-3157	111	5	(	(	PUNCT
ejpam-3157	111	6	θ(uhn+1	θ(uhn+1	NOUN
ejpam-3157	111	7	−	−	NOUN
ejpam-3157	111	8	uhn	uhn	PROPN
ejpam-3157	111	9	)	)	PUNCT
ejpam-3157	112	1	+	+	CCONJ
ejpam-3157	112	2	uhn	uhn	NOUN
ejpam-3157	112	3	,	,	PUNCT
ejpam-3157	112	4	v	v	NOUN
ejpam-3157	112	5	h	h	NOUN
ejpam-3157	112	6	)	)	PUNCT
ejpam-3157	112	7	]	]	PUNCT
ejpam-3157	112	8	.	.	PUNCT
ejpam-3157	113	1	then	then	ADV
ejpam-3157	113	2	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-3157	113	3	(	(	PUNCT
ejpam-3157	113	4	uh	uh	INTJ
ejpam-3157	113	5	n+1−uh	n+1−uh	NOUN
ejpam-3157	113	6	n	n	PRON
ejpam-3157	113	7	∆t	∆t	PROPN
ejpam-3157	113	8	,	,	PUNCT
ejpam-3157	113	9	vh	vh	PROPN
ejpam-3157	113	10	)	)	PUNCT
ejpam-3157	114	1	+	+	PROPN
ejpam-3157	114	2	d	d	X
ejpam-3157	114	3	[	[	PUNCT
ejpam-3157	114	4	a	a	PRON
ejpam-3157	114	5	(	(	PUNCT
ejpam-3157	114	6	θ(uhn+1	θ(uhn+1	NOUN
ejpam-3157	114	7	−	−	NOUN
ejpam-3157	114	8	uhn	uhn	PROPN
ejpam-3157	114	9	)	)	PUNCT
ejpam-3157	115	1	+	+	CCONJ
ejpam-3157	115	2	uhn	uhn	NOUN
ejpam-3157	115	3	,	,	PUNCT
ejpam-3157	115	4	v	v	NOUN
ejpam-3157	115	5	h	h	NOUN
ejpam-3157	115	6	)	)	PUNCT
ejpam-3157	115	7	]	]	PUNCT
ejpam-3157	116	1	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-3157	116	2	=	=	SYM
ejpam-3157	116	3	0	0	X
ejpam-3157	116	4	.	.	PUNCT
ejpam-3157	117	1	(	(	PUNCT
ejpam-3157	117	2	8)	8)	NUM
ejpam-3157	117	3	putting	put	VERB
ejpam-3157	117	4	the	the	DET
ejpam-3157	117	5	test	test	NOUN
ejpam-3157	117	6	function	function	NOUN
ejpam-3157	117	7	vh	vh	PROPN
ejpam-3157	117	8	=	=	SYM
ejpam-3157	117	9	θ(uhn+1	θ(uhn+1	VERB
ejpam-3157	117	10	−	−	PROPN
ejpam-3157	117	11	uhn	uhn	PROPN
ejpam-3157	117	12	)	)	PUNCT
ejpam-3157	117	13	+	+	NUM
ejpam-3157	117	14	uhn	uhn	NOUN
ejpam-3157	117	15	=	=	PUNCT
ejpam-3157	117	16	ũh	ũh	NOUN
ejpam-3157	117	17	.	.	PUNCT
ejpam-3157	117	18	equation	equation	NOUN
ejpam-3157	117	19	(	(	PUNCT
ejpam-3157	117	20	8)	8)	NUM
ejpam-3157	117	21	becomes	become	VERB
ejpam-3157	117	22	(	(	PUNCT
ejpam-3157	117	23	uhn+1	uhn+1	NOUN
ejpam-3157	117	24	−	−	NOUN
ejpam-3157	117	25	uhn	uhn	NOUN
ejpam-3157	117	26	,	,	PUNCT
ejpam-3157	117	27	θ(uhn+1	θ(uhn+1	VERB
ejpam-3157	117	28	−	−	NOUN
ejpam-3157	117	29	uhn	uhn	PROPN
ejpam-3157	117	30	)	)	PUNCT
ejpam-3157	117	31	+	+	NUM
ejpam-3157	117	32	uhn	uhn	NOUN
ejpam-3157	117	33	)	)	PUNCT
ejpam-3157	118	1	︸	︸	X
ejpam-3157	118	2	︷︷	︷︷	NOUN
ejpam-3157	118	3	︸	︸	ADP
ejpam-3157	118	4	a	a	DET
ejpam-3157	118	5	+	+	PROPN
ejpam-3157	118	6	d∆ta	d∆ta	ADJ
ejpam-3157	118	7	(	(	PUNCT
ejpam-3157	118	8	ũh	ũh	INTJ
ejpam-3157	118	9	,	,	PUNCT
ejpam-3157	118	10	ũh	ũh	NOUN
ejpam-3157	118	11	)	)	PUNCT
ejpam-3157	118	12	︸	︸	X
ejpam-3157	119	1	︷︷	︷︷	NOUN
ejpam-3157	119	2	︸	︸	ADP
ejpam-3157	119	3	b	b	PROPN
ejpam-3157	119	4	=	=	SYM
ejpam-3157	119	5	0	0	PROPN
ejpam-3157	119	6	.	.	PUNCT
ejpam-3157	120	1	(	(	PUNCT
ejpam-3157	120	2	9	9	X
ejpam-3157	120	3	)	)	PUNCT
ejpam-3157	120	4	the	the	DET
ejpam-3157	120	5	term	term	NOUN
ejpam-3157	120	6	a	a	PRON
ejpam-3157	120	7	of	of	ADP
ejpam-3157	120	8	the	the	DET
ejpam-3157	120	9	equation	equation	NOUN
ejpam-3157	120	10	equivalent	equivalent	ADJ
ejpam-3157	120	11	to	to	ADP
ejpam-3157	120	12	a	a	DET
ejpam-3157	120	13	=	=	PUNCT
ejpam-3157	120	14	(	(	PUNCT
ejpam-3157	120	15	uhn+1	uhn+1	NOUN
ejpam-3157	120	16	−	−	NOUN
ejpam-3157	120	17	uhn	uhn	NOUN
ejpam-3157	120	18	,	,	PUNCT
ejpam-3157	120	19	θ(uhn+1	θ(uhn+1	VERB
ejpam-3157	120	20	−	−	PROPN
ejpam-3157	120	21	uhn	uhn	PROPN
ejpam-3157	120	22	)	)	PUNCT
ejpam-3157	120	23	)	)	PUNCT
ejpam-3157	121	1	+	+	CCONJ
ejpam-3157	121	2	(	(	PUNCT
ejpam-3157	121	3	uhn+1	uhn+1	VERB
ejpam-3157	121	4	−	−	NOUN
ejpam-3157	121	5	uhn	uhn	NOUN
ejpam-3157	121	6	,	,	PUNCT
ejpam-3157	121	7	uhn	uhn	PROPN
ejpam-3157	121	8	)	)	PUNCT
ejpam-3157	122	1	=	=	SYM
ejpam-3157	122	2	θ	θ	PROPN
ejpam-3157	122	3	(	(	PUNCT
ejpam-3157	122	4	uhn+1	uhn+1	VERB
ejpam-3157	122	5	−	−	NOUN
ejpam-3157	122	6	uhn	uhn	NOUN
ejpam-3157	122	7	,	,	PUNCT
ejpam-3157	122	8	uhn+1	uhn+1	VERB
ejpam-3157	122	9	−	−	PROPN
ejpam-3157	122	10	uhn	uhn	PROPN
ejpam-3157	122	11	)	)	PUNCT
ejpam-3157	122	12	−1	−1	NOUN
ejpam-3157	122	13	2	2	NUM
ejpam-3157	122	14	(	(	PUNCT
ejpam-3157	122	15	uhn+1	uhn+1	VERB
ejpam-3157	122	16	−	−	NOUN
ejpam-3157	122	17	uhn	uhn	NOUN
ejpam-3157	122	18	,	,	PUNCT
ejpam-3157	122	19	−2uhn	−2uhn	NOUN
ejpam-3157	122	20	)	)	PUNCT
ejpam-3157	122	21	.	.	PUNCT
ejpam-3157	123	1	a.	a.	PROPN
ejpam-3157	123	2	allahem	allahem	PROPN
ejpam-3157	123	3	,	,	PUNCT
ejpam-3157	123	4	s.boulaaras	s.boulaara	NOUN
ejpam-3157	123	5	,	,	PUNCT
ejpam-3157	123	6	k.	k.	PROPN
ejpam-3157	123	7	zennir	zennir	PROPN
ejpam-3157	123	8	and	and	CCONJ
ejpam-3157	123	9	m.	m.	PROPN
ejpam-3157	123	10	haiour	haiour	PROPN
ejpam-3157	123	11	/	/	SYM
ejpam-3157	123	12	eur	eur	PROPN
ejpam-3157	123	13	.	.	PUNCT
ejpam-3157	124	1	j.	j.	PROPN
ejpam-3157	124	2	pure	pure	PROPN
ejpam-3157	124	3	appl	appl	PROPN
ejpam-3157	124	4	.	.	PROPN
ejpam-3157	124	5	math	math	PROPN
ejpam-3157	124	6	,	,	PUNCT
ejpam-3157	124	7	11	11	NUM
ejpam-3157	124	8	(	(	PUNCT
ejpam-3157	124	9	1	1	NUM
ejpam-3157	124	10	)	)	PUNCT
ejpam-3157	124	11	(	(	PUNCT
ejpam-3157	124	12	2018	2018	NUM
ejpam-3157	124	13	)	)	PUNCT
ejpam-3157	124	14	,	,	PUNCT
ejpam-3157	124	15	110	110	NUM
ejpam-3157	124	16	-	-	SYM
ejpam-3157	124	17	137	137	NUM
ejpam-3157	124	18	117	117	NUM
ejpam-3157	124	19	thus	thus	ADV
ejpam-3157	124	20	a	a	DET
ejpam-3157	124	21	=	=	SYM
ejpam-3157	124	22	θ	θ	PROPN
ejpam-3157	124	23	(	(	PUNCT
ejpam-3157	124	24	uhn+1	uhn+1	VERB
ejpam-3157	124	25	−	−	NOUN
ejpam-3157	124	26	uhn	uhn	NOUN
ejpam-3157	124	27	,	,	PUNCT
ejpam-3157	124	28	uhn+1	uhn+1	VERB
ejpam-3157	124	29	−	−	PROPN
ejpam-3157	124	30	uhn	uhn	PROPN
ejpam-3157	124	31	)	)	PUNCT
ejpam-3157	124	32	−1	−1	NOUN
ejpam-3157	124	33	2	2	NUM
ejpam-3157	124	34	(	(	PUNCT
ejpam-3157	124	35	uhn+1	uhn+1	VERB
ejpam-3157	124	36	−	−	NOUN
ejpam-3157	124	37	uhn	uhn	NOUN
ejpam-3157	124	38	,	,	PUNCT
ejpam-3157	124	39	−uhn	−uhn	VERB
ejpam-3157	124	40	−	−	PROPN
ejpam-3157	124	41	uhn	uhn	PROPN
ejpam-3157	124	42	+	+	CCONJ
ejpam-3157	124	43	uhn+1	uhn+1	NOUN
ejpam-3157	124	44	−	−	NOUN
ejpam-3157	124	45	uhn+1	uhn+1	NOUN
ejpam-3157	124	46	)	)	PUNCT
ejpam-3157	125	1	=	=	SYM
ejpam-3157	125	2	θ	θ	PROPN
ejpam-3157	125	3	(	(	PUNCT
ejpam-3157	125	4	uhn+1	uhn+1	VERB
ejpam-3157	125	5	−	−	NOUN
ejpam-3157	125	6	uhn	uhn	NOUN
ejpam-3157	125	7	,	,	PUNCT
ejpam-3157	125	8	uhn+1	uhn+1	VERB
ejpam-3157	125	9	−	−	PROPN
ejpam-3157	125	10	uhn	uhn	PROPN
ejpam-3157	125	11	)	)	PUNCT
ejpam-3157	125	12	−1	−1	NOUN
ejpam-3157	125	13	2	2	NUM
ejpam-3157	125	14	(	(	PUNCT
ejpam-3157	125	15	uhn+1	uhn+1	VERB
ejpam-3157	125	16	−	−	NOUN
ejpam-3157	125	17	uhn	uhn	NOUN
ejpam-3157	125	18	,	,	PUNCT
ejpam-3157	125	19	uhn+1	uhn+1	VERB
ejpam-3157	125	20	−	−	NOUN
ejpam-3157	125	21	uhn	uhn	NOUN
ejpam-3157	125	22	)	)	PUNCT
ejpam-3157	126	1	=	=	SYM
ejpam-3157	126	2	θ	θ	PROPN
ejpam-3157	126	3	(	(	PUNCT
ejpam-3157	126	4	uhn+1	uhn+1	VERB
ejpam-3157	126	5	−	−	NOUN
ejpam-3157	126	6	uhn	uhn	NOUN
ejpam-3157	126	7	,	,	PUNCT
ejpam-3157	126	8	uhn+1	uhn+1	VERB
ejpam-3157	126	9	−	−	PROPN
ejpam-3157	126	10	uhn	uhn	PROPN
ejpam-3157	126	11	)	)	PUNCT
ejpam-3157	126	12	−1	−1	NOUN
ejpam-3157	126	13	2	2	NUM
ejpam-3157	126	14	(	(	PUNCT
ejpam-3157	126	15	uhn+1	uhn+1	VERB
ejpam-3157	126	16	−	−	NOUN
ejpam-3157	126	17	uhn	uhn	NOUN
ejpam-3157	126	18	,	,	PUNCT
ejpam-3157	126	19	uhn+1	uhn+1	VERB
ejpam-3157	126	20	−	−	PROPN
ejpam-3157	126	21	uhn	uhn	PROPN
ejpam-3157	126	22	)	)	PUNCT
ejpam-3157	126	23	,	,	PUNCT
ejpam-3157	126	24	so	so	ADV
ejpam-3157	126	25	a	a	DET
ejpam-3157	126	26	=	=	SYM
ejpam-3157	126	27	θ	θ	PROPN
ejpam-3157	126	28	(	(	PUNCT
ejpam-3157	126	29	uhn+1	uhn+1	VERB
ejpam-3157	126	30	−	−	NOUN
ejpam-3157	126	31	uhn	uhn	NOUN
ejpam-3157	126	32	,	,	PUNCT
ejpam-3157	126	33	uhn+1	uhn+1	VERB
ejpam-3157	126	34	−	−	PROPN
ejpam-3157	126	35	uhn	uhn	PROPN
ejpam-3157	126	36	)	)	PUNCT
ejpam-3157	126	37	−1	−1	NOUN
ejpam-3157	126	38	2	2	NUM
ejpam-3157	126	39	(	(	PUNCT
ejpam-3157	126	40	uhn+1	uhn+1	VERB
ejpam-3157	126	41	−	−	NOUN
ejpam-3157	126	42	uhn	uhn	NOUN
ejpam-3157	126	43	,	,	PUNCT
ejpam-3157	126	44	uhn+1	uhn+1	VERB
ejpam-3157	126	45	−	−	NOUN
ejpam-3157	126	46	uhn	uhn	NOUN
ejpam-3157	126	47	)	)	PUNCT
ejpam-3157	126	48	=	=	SYM
ejpam-3157	127	1	(	(	PUNCT
ejpam-3157	127	2	θ	θ	NOUN
ejpam-3157	127	3	−	−	PROPN
ejpam-3157	127	4	1	1	NUM
ejpam-3157	127	5	2	2	NUM
ejpam-3157	127	6	)	)	PUNCT
ejpam-3157	127	7	(	(	PUNCT
ejpam-3157	127	8	uhn+1	uhn+1	VERB
ejpam-3157	127	9	−	−	NOUN
ejpam-3157	127	10	uhn	uhn	NOUN
ejpam-3157	127	11	,	,	PUNCT
ejpam-3157	127	12	uhn+1	uhn+1	VERB
ejpam-3157	127	13	−	−	PROPN
ejpam-3157	127	14	uhn	uhn	NOUN
ejpam-3157	127	15	)	)	PUNCT
ejpam-3157	128	1	+1	+1	PROPN
ejpam-3157	128	2	2	2	NUM
ejpam-3157	128	3	(	(	PUNCT
ejpam-3157	128	4	uhn+1	uhn+1	VERB
ejpam-3157	128	5	−	−	NOUN
ejpam-3157	128	6	uhn	uhn	NOUN
ejpam-3157	128	7	,	,	PUNCT
ejpam-3157	128	8	uhn+1	uhn+1	VERB
ejpam-3157	128	9	+	+	CCONJ
ejpam-3157	128	10	uhn	uhn	NOUN
ejpam-3157	128	11	)	)	PUNCT
ejpam-3157	128	12	.	.	PUNCT
ejpam-3157	129	1	therefore	therefore	ADV
ejpam-3157	129	2	,	,	PUNCT
ejpam-3157	129	3	a	a	DET
ejpam-3157	129	4	=	=	X
ejpam-3157	129	5	(	(	PUNCT
ejpam-3157	129	6	θ	θ	NOUN
ejpam-3157	129	7	−	−	PROPN
ejpam-3157	129	8	1	1	NUM
ejpam-3157	129	9	2	2	NUM
ejpam-3157	129	10	)	)	PUNCT
ejpam-3157	129	11	∥∥(uhn+1	∥∥(uhn+1	NOUN
ejpam-3157	129	12	−	−	PROPN
ejpam-3157	129	13	uhn	uhn	PROPN
ejpam-3157	129	14	)	)	PUNCT
ejpam-3157	129	15	∥∥2	∥∥2	PROPN
ejpam-3157	130	1	l2(ω	l2(ω	X
ejpam-3157	130	2	)	)	PUNCT
ejpam-3157	130	3	+	+	CCONJ
ejpam-3157	130	4	1	1	NUM
ejpam-3157	130	5	2	2	NUM
ejpam-3157	130	6	(	(	PUNCT
ejpam-3157	130	7	∫	∫	PROPN
ejpam-3157	130	8	(	(	PUNCT
ejpam-3157	130	9	uhn+1)2	uhn+1)2	PROPN
ejpam-3157	130	10	−	−	X
ejpam-3157	130	11	(	(	PUNCT
ejpam-3157	130	12	uhn)2	uhn)2	PROPN
ejpam-3157	130	13	)	)	PUNCT
ejpam-3157	130	14	=	=	SYM
ejpam-3157	130	15	(	(	PUNCT
ejpam-3157	130	16	θ	θ	NOUN
ejpam-3157	130	17	−	−	PROPN
ejpam-3157	130	18	1	1	NUM
ejpam-3157	130	19	2	2	NUM
ejpam-3157	130	20	)	)	PUNCT
ejpam-3157	130	21	∥∥(uhn+1	∥∥(uhn+1	NOUN
ejpam-3157	130	22	−	−	PROPN
ejpam-3157	130	23	uhn	uhn	PROPN
ejpam-3157	130	24	)	)	PUNCT
ejpam-3157	130	25	∥∥2	∥∥2	PROPN
ejpam-3157	131	1	l2(ω	l2(ω	X
ejpam-3157	131	2	)	)	PUNCT
ejpam-3157	131	3	+1	+1	PROPN
ejpam-3157	131	4	2	2	NUM
ejpam-3157	131	5	∥∥uhn+1	∥∥uhn+1	PROPN
ejpam-3157	131	6	∥∥2	∥∥2	PROPN
ejpam-3157	131	7	l2(ω	l2(ω	NOUN
ejpam-3157	131	8	)	)	PUNCT
ejpam-3157	131	9	−	−	PROPN
ejpam-3157	131	10	1	1	NUM
ejpam-3157	131	11	2	2	NUM
ejpam-3157	131	12	∥∥uhn∥∥2	∥∥uhn∥∥2	NOUN
ejpam-3157	131	13	l2(ω	l2(ω	NUM
ejpam-3157	131	14	)	)	PUNCT
ejpam-3157	131	15	.	.	PUNCT
ejpam-3157	132	1	by	by	ADP
ejpam-3157	132	2	adding	add	VERB
ejpam-3157	132	3	the	the	DET
ejpam-3157	132	4	term	term	NOUN
ejpam-3157	132	5	a	a	PRON
ejpam-3157	132	6	into	into	ADP
ejpam-3157	132	7	equation	equation	NOUN
ejpam-3157	132	8	(	(	PUNCT
ejpam-3157	132	9	9	9	NUM
ejpam-3157	132	10	)	)	PUNCT
ejpam-3157	132	11	(	(	PUNCT
ejpam-3157	132	12	θ	θ	NOUN
ejpam-3157	132	13	−	−	PROPN
ejpam-3157	132	14	1	1	NUM
ejpam-3157	132	15	2	2	NUM
ejpam-3157	132	16	)	)	PUNCT
ejpam-3157	132	17	∥∥(uhn+1	∥∥(uhn+1	NOUN
ejpam-3157	132	18	−	−	PROPN
ejpam-3157	132	19	uhn	uhn	PROPN
ejpam-3157	132	20	)	)	PUNCT
ejpam-3157	132	21	∥∥2	∥∥2	PROPN
ejpam-3157	133	1	l2(ω	l2(ω	X
ejpam-3157	133	2	)	)	PUNCT
ejpam-3157	133	3	+1	+1	PROPN
ejpam-3157	133	4	2	2	NUM
ejpam-3157	133	5	∥∥uhn+1	∥∥uhn+1	PROPN
ejpam-3157	133	6	∥∥2	∥∥2	PROPN
ejpam-3157	133	7	l2(ω	l2(ω	NOUN
ejpam-3157	133	8	)	)	PUNCT
ejpam-3157	133	9	−1	−1	NOUN
ejpam-3157	133	10	2	2	NUM
ejpam-3157	133	11	∥∥uhn∥∥2	∥∥uhn∥∥2	SYM
ejpam-3157	133	12	l2(ω	l2(ω	NUM
ejpam-3157	133	13	)	)	PUNCT
ejpam-3157	134	1	+	+	NOUN
ejpam-3157	134	2	d∆ta	d∆ta	ADJ
ejpam-3157	134	3	(	(	PUNCT
ejpam-3157	134	4	ũ	ũ	PROPN
ejpam-3157	134	5	,	,	PUNCT
ejpam-3157	134	6	ũ	ũ	PROPN
ejpam-3157	134	7	)	)	PUNCT
ejpam-3157	134	8	=	=	SYM
ejpam-3157	134	9	0	0	X
ejpam-3157	134	10	.	.	PUNCT
ejpam-3157	135	1	this	this	PRON
ejpam-3157	135	2	means	mean	VERB
ejpam-3157	135	3	a.	a.	PROPN
ejpam-3157	135	4	allahem	allahem	PROPN
ejpam-3157	135	5	,	,	PUNCT
ejpam-3157	135	6	s.boulaaras	s.boulaara	NOUN
ejpam-3157	135	7	,	,	PUNCT
ejpam-3157	135	8	k.	k.	PROPN
ejpam-3157	135	9	zennir	zennir	PROPN
ejpam-3157	135	10	and	and	CCONJ
ejpam-3157	135	11	m.	m.	PROPN
ejpam-3157	135	12	haiour	haiour	PROPN
ejpam-3157	135	13	/	/	SYM
ejpam-3157	135	14	eur	eur	PROPN
ejpam-3157	135	15	.	.	PUNCT
ejpam-3157	136	1	j.	j.	PROPN
ejpam-3157	136	2	pure	pure	PROPN
ejpam-3157	136	3	appl	appl	PROPN
ejpam-3157	136	4	.	.	PROPN
ejpam-3157	136	5	math	math	PROPN
ejpam-3157	136	6	,	,	PUNCT
ejpam-3157	136	7	11	11	NUM
ejpam-3157	136	8	(	(	PUNCT
ejpam-3157	136	9	1	1	NUM
ejpam-3157	136	10	)	)	PUNCT
ejpam-3157	136	11	(	(	PUNCT
ejpam-3157	136	12	2018	2018	NUM
ejpam-3157	136	13	)	)	PUNCT
ejpam-3157	136	14	,	,	PUNCT
ejpam-3157	136	15	110	110	NUM
ejpam-3157	136	16	-	-	SYM
ejpam-3157	136	17	137	137	NUM
ejpam-3157	136	18	118	118	NUM
ejpam-3157	136	19	1	1	NUM
ejpam-3157	136	20	2	2	NUM
ejpam-3157	136	21	∥∥uhn+1	∥∥uhn+1	PROPN
ejpam-3157	136	22	∥∥2	∥∥2	PROPN
ejpam-3157	136	23	l2(ω	l2(ω	NOUN
ejpam-3157	136	24	)	)	PUNCT
ejpam-3157	137	1	−	−	PROPN
ejpam-3157	137	2	1	1	NUM
ejpam-3157	137	3	2	2	NUM
ejpam-3157	137	4	∥∥uhn∥∥2	∥∥uhn∥∥2	NOUN
ejpam-3157	137	5	l2(ω	l2(ω	NUM
ejpam-3157	137	6	)	)	PUNCT
ejpam-3157	138	1	+	+	NOUN
ejpam-3157	138	2	∆tda	∆tda	X
ejpam-3157	138	3	(	(	PUNCT
ejpam-3157	138	4	ũ	ũ	PROPN
ejpam-3157	138	5	,	,	PUNCT
ejpam-3157	138	6	ũ	ũ	PROPN
ejpam-3157	138	7	)	)	PUNCT
ejpam-3157	138	8	=	=	PUNCT
ejpam-3157	138	9	−(θ	−(θ	NOUN
ejpam-3157	138	10	−	−	NUM
ejpam-3157	138	11	1	1	NUM
ejpam-3157	138	12	2	2	NUM
ejpam-3157	138	13	)	)	PUNCT
ejpam-3157	138	14	∥∥(uhn+1	∥∥(uhn+1	NOUN
ejpam-3157	138	15	−	−	PROPN
ejpam-3157	138	16	uhn	uhn	PROPN
ejpam-3157	138	17	)	)	PUNCT
ejpam-3157	138	18	∥∥2	∥∥2	PROPN
ejpam-3157	139	1	l2(ω	l2(ω	NOUN
ejpam-3157	139	2	)	)	PUNCT
ejpam-3157	139	3	.	.	PUNCT
ejpam-3157	140	1	(	(	PUNCT
ejpam-3157	140	2	10	10	NUM
ejpam-3157	140	3	)	)	PUNCT
ejpam-3157	140	4	if	if	SCONJ
ejpam-3157	140	5	θ	θ	PROPN
ejpam-3157	140	6	≥	≥	VERB
ejpam-3157	140	7	1	1	NUM
ejpam-3157	140	8	2	2	NUM
ejpam-3157	140	9	,	,	PUNCT
ejpam-3157	140	10	we	we	PRON
ejpam-3157	140	11	have	have	VERB
ejpam-3157	140	12	1	1	NUM
ejpam-3157	140	13	2	2	NUM
ejpam-3157	140	14	∥∥uhn+1	∥∥uhn+1	PROPN
ejpam-3157	140	15	∥∥2	∥∥2	PROPN
ejpam-3157	141	1	l2(ω	l2(ω	NOUN
ejpam-3157	141	2	)	)	PUNCT
ejpam-3157	141	3	−	−	PROPN
ejpam-3157	141	4	1	1	NUM
ejpam-3157	141	5	2	2	NUM
ejpam-3157	141	6	∥∥uhn∥∥2	∥∥uhn∥∥2	NOUN
ejpam-3157	141	7	l2(ω	l2(ω	NUM
ejpam-3157	141	8	)	)	PUNCT
ejpam-3157	142	1	+	+	NOUN
ejpam-3157	142	2	∆tda	∆tda	X
ejpam-3157	142	3	(	(	PUNCT
ejpam-3157	142	4	ũh	ũh	INTJ
ejpam-3157	142	5	,	,	PUNCT
ejpam-3157	142	6	ũh	ũh	NOUN
ejpam-3157	142	7	)	)	PUNCT
ejpam-3157	142	8	≤	≤	NOUN
ejpam-3157	142	9	0	0	NUM
ejpam-3157	142	10	,	,	PUNCT
ejpam-3157	142	11	thus	thus	ADV
ejpam-3157	142	12	∥∥uhn+1	∥∥uhn+1	PROPN
ejpam-3157	142	13	∥∥2	∥∥2	PROPN
ejpam-3157	142	14	l2(ω	l2(ω	NOUN
ejpam-3157	142	15	)	)	PUNCT
ejpam-3157	142	16	+	+	CCONJ
ejpam-3157	142	17	2∆tda	2∆tda	NUM
ejpam-3157	142	18	(	(	PUNCT
ejpam-3157	142	19	ũh	ũh	ADJ
ejpam-3157	142	20	,	,	PUNCT
ejpam-3157	142	21	ũh	ũh	ADJ
ejpam-3157	142	22	)	)	PUNCT
ejpam-3157	142	23	≤	≤	NUM
ejpam-3157	142	24	∥∥uhn∥∥2	∥∥uhn∥∥2	PUNCT
ejpam-3157	143	1	l2(ω	l2(ω	CCONJ
ejpam-3157	143	2	)	)	PUNCT
ejpam-3157	144	1	,	,	PUNCT
ejpam-3157	144	2	then	then	ADV
ejpam-3157	144	3	∥∥uhn+1	∥∥uhn+1	PROPN
ejpam-3157	144	4	∥∥2	∥∥2	PROPN
ejpam-3157	144	5	l2(ω	l2(ω	NOUN
ejpam-3157	144	6	)	)	PUNCT
ejpam-3157	144	7	+	+	NOUN
ejpam-3157	144	8	2∆td	2∆td	NUM
ejpam-3157	144	9	∥∥∥∂ũh	∥∥∥∂ũh	NOUN
ejpam-3157	144	10	∂z	∂z	PROPN
ejpam-3157	144	11	∥∥∥2	∥∥∥2	NOUN
ejpam-3157	144	12	l2(ω	l2(ω	NOUN
ejpam-3157	144	13	)	)	PUNCT
ejpam-3157	144	14	≤	≤	NUM
ejpam-3157	144	15	∥∥uhn∥∥2	∥∥uhn∥∥2	PUNCT
ejpam-3157	144	16	l2(ω	l2(ω	NUM
ejpam-3157	144	17	)	)	PUNCT
ejpam-3157	144	18	.	.	PUNCT
ejpam-3157	145	1	by	by	ADP
ejpam-3157	145	2	summation	summation	NOUN
ejpam-3157	145	3	with	with	ADP
ejpam-3157	145	4	respect	respect	NOUN
ejpam-3157	145	5	to	to	ADP
ejpam-3157	145	6	n	n	CCONJ
ejpam-3157	145	7	,	,	PUNCT
ejpam-3157	145	8	we	we	PRON
ejpam-3157	145	9	find∥∥uhn∥∥2	find∥∥uhn∥∥2	PUNCT
ejpam-3157	145	10	l2(ω	l2(ω	PROPN
ejpam-3157	145	11	)	)	PUNCT
ejpam-3157	145	12	+	+	CCONJ
ejpam-3157	145	13	2∆td	2∆td	NUM
ejpam-3157	145	14	n∑	n∑	NOUN
ejpam-3157	145	15	n=1	n=1	ADP
ejpam-3157	145	16	∥∥∥∂ũh	∥∥∥∂ũh	NOUN
ejpam-3157	145	17	∂z	∂z	PROPN
ejpam-3157	145	18	∥∥∥2	∥∥∥2	NOUN
ejpam-3157	145	19	l2(ω	l2(ω	NOUN
ejpam-3157	145	20	)	)	PUNCT
ejpam-3157	145	21	≤	≤	NUM
ejpam-3157	145	22	∥∥∥uh0∥∥∥2	∥∥∥uh0∥∥∥2	PUNCT
ejpam-3157	145	23	l2(ω)︸	l2(ω)︸	PROPN
ejpam-3157	146	1	︷︷	︷︷	PROPN
ejpam-3157	146	2	︸	︸	X
ejpam-3157	146	3	known	know	VERB
ejpam-3157	146	4	.	.	PUNCT
ejpam-3157	147	1	it	it	PRON
ejpam-3157	147	2	is	be	AUX
ejpam-3157	147	3	deduced	deduce	VERB
ejpam-3157	147	4	that	that	SCONJ
ejpam-3157	147	5	for	for	ADP
ejpam-3157	147	6	θ	θ	PROPN
ejpam-3157	147	7	≥	≥	NUM
ejpam-3157	147	8	1	1	NUM
ejpam-3157	147	9	2	2	NUM
ejpam-3157	147	10	the	the	DET
ejpam-3157	147	11	scheme	scheme	NOUN
ejpam-3157	147	12	is	be	AUX
ejpam-3157	147	13	unconditionally	unconditionally	ADV
ejpam-3157	147	14	stable	stable	ADJ
ejpam-3157	147	15	.	.	PUNCT
ejpam-3157	148	1	3.1	3.1	NUM
ejpam-3157	148	2	.	.	NOUN
ejpam-3157	148	3	matrix	matrix	NOUN
ejpam-3157	148	4	formulation	formulation	NOUN
ejpam-3157	148	5	of	of	ADP
ejpam-3157	148	6	the	the	DET
ejpam-3157	148	7	problem	problem	NOUN
ejpam-3157	148	8	we	we	PRON
ejpam-3157	148	9	can	can	AUX
ejpam-3157	148	10	reformulate	reformulate	VERB
ejpam-3157	148	11	equation	equation	NOUN
ejpam-3157	148	12	(	(	PUNCT
ejpam-3157	148	13	7	7	NUM
ejpam-3157	148	14	)	)	PUNCT
ejpam-3157	148	15	(	(	PUNCT
ejpam-3157	148	16	uhn+1	uhn+1	NOUN
ejpam-3157	148	17	,	,	PUNCT
ejpam-3157	148	18	v	v	NOUN
ejpam-3157	148	19	h	h	NOUN
ejpam-3157	148	20	)	)	PUNCT
ejpam-3157	149	1	+	+	VERB
ejpam-3157	149	2	dθ∆ta	dθ∆ta	X
ejpam-3157	149	3	(	(	PUNCT
ejpam-3157	149	4	uhn+1	uhn+1	NOUN
ejpam-3157	149	5	,	,	PUNCT
ejpam-3157	149	6	v	v	NOUN
ejpam-3157	149	7	h	h	NOUN
ejpam-3157	149	8	)	)	PUNCT
ejpam-3157	149	9	=	=	SYM
ejpam-3157	149	10	(	(	PUNCT
ejpam-3157	149	11	uhn	uhn	PROPN
ejpam-3157	149	12	,	,	PUNCT
ejpam-3157	149	13	v	v	NOUN
ejpam-3157	149	14	h	h	NOUN
ejpam-3157	149	15	)	)	PUNCT
ejpam-3157	149	16	−d	−d	PROPN
ejpam-3157	149	17	(	(	PUNCT
ejpam-3157	149	18	1−	1−	NUM
ejpam-3157	149	19	θ	θ	NOUN
ejpam-3157	149	20	)	)	PUNCT
ejpam-3157	149	21	∆ta	∆ta	PROPN
ejpam-3157	149	22	(	(	PUNCT
ejpam-3157	149	23	uhn	uhn	PROPN
ejpam-3157	149	24	,	,	PUNCT
ejpam-3157	149	25	v	v	NOUN
ejpam-3157	149	26	h	h	NOUN
ejpam-3157	149	27	)	)	PUNCT
ejpam-3157	149	28	,	,	PUNCT
ejpam-3157	149	29	ω	ω	X
ejpam-3157	149	30	=	=	SYM
ejpam-3157	149	31	θ∆td	θ∆td	PROPN
ejpam-3157	149	32	.	.	PUNCT
ejpam-3157	149	33	a.	a.	PROPN
ejpam-3157	149	34	allahem	allahem	PROPN
ejpam-3157	149	35	,	,	PUNCT
ejpam-3157	149	36	s.boulaaras	s.boulaara	NOUN
ejpam-3157	149	37	,	,	PUNCT
ejpam-3157	149	38	k.	k.	PROPN
ejpam-3157	149	39	zennir	zennir	PROPN
ejpam-3157	149	40	and	and	CCONJ
ejpam-3157	149	41	m.	m.	PROPN
ejpam-3157	149	42	haiour	haiour	PROPN
ejpam-3157	149	43	/	/	SYM
ejpam-3157	149	44	eur	eur	PROPN
ejpam-3157	149	45	.	.	PUNCT
ejpam-3157	150	1	j.	j.	PROPN
ejpam-3157	150	2	pure	pure	PROPN
ejpam-3157	150	3	appl	appl	PROPN
ejpam-3157	150	4	.	.	PROPN
ejpam-3157	150	5	math	math	PROPN
ejpam-3157	150	6	,	,	PUNCT
ejpam-3157	150	7	11	11	NUM
ejpam-3157	150	8	(	(	PUNCT
ejpam-3157	150	9	1	1	NUM
ejpam-3157	150	10	)	)	PUNCT
ejpam-3157	150	11	(	(	PUNCT
ejpam-3157	150	12	2018	2018	NUM
ejpam-3157	150	13	)	)	PUNCT
ejpam-3157	150	14	,	,	PUNCT
ejpam-3157	150	15	110	110	NUM
ejpam-3157	150	16	-	-	SYM
ejpam-3157	150	17	137	137	NUM
ejpam-3157	150	18	119	119	NUM
ejpam-3157	150	19	we	we	PRON
ejpam-3157	150	20	have	have	VERB
ejpam-3157	150	21	again	again	ADV
ejpam-3157	151	1	∫	∫	PROPN
ejpam-3157	151	2	ω	ω	PROPN
ejpam-3157	151	3	(	(	PUNCT
ejpam-3157	151	4	n−1∑	n−1∑	PROPN
ejpam-3157	151	5	i=1	i=1	PROPN
ejpam-3157	151	6	un+1	un+1	ADV
ejpam-3157	152	1	i	i	PRON
ejpam-3157	152	2	(	(	PUNCT
ejpam-3157	152	3	t)ϕi(z	t)ϕi(z	PROPN
ejpam-3157	152	4	)	)	PUNCT
ejpam-3157	152	5	n−1∑	n−1∑	NUM
ejpam-3157	152	6	j=1	j=1	NOUN
ejpam-3157	152	7	vjϕj(z	vjϕj(z	PROPN
ejpam-3157	152	8	)	)	PUNCT
ejpam-3157	152	9	)	)	PUNCT
ejpam-3157	153	1	dz	dz	PROPN
ejpam-3157	154	1	+	+	PROPN
ejpam-3157	154	2	ω	ω	PROPN
ejpam-3157	154	3	∫	∫	PROPN
ejpam-3157	154	4	ω	ω	PROPN
ejpam-3157	154	5	∂	∂	X
ejpam-3157	154	6	∂z	∂z	PROPN
ejpam-3157	155	1	(	(	PUNCT
ejpam-3157	155	2	n−1∑	n−1∑	PROPN
ejpam-3157	155	3	i=1	i=1	PROPN
ejpam-3157	155	4	un+1	un+1	ADV
ejpam-3157	156	1	i	i	PRON
ejpam-3157	156	2	(	(	PUNCT
ejpam-3157	156	3	t)ϕi(z	t)ϕi(z	PROPN
ejpam-3157	156	4	)	)	PUNCT
ejpam-3157	156	5	)	)	PUNCT
ejpam-3157	156	6	∂	∂	NUM
ejpam-3157	157	1	∂z	∂z	PROPN
ejpam-3157	157	2	(	(	PUNCT
ejpam-3157	157	3	n−1∑	n−1∑	NUM
ejpam-3157	157	4	j=1	j=1	NOUN
ejpam-3157	157	5	vjϕj(z	vjϕj(z	PROPN
ejpam-3157	157	6	)	)	PUNCT
ejpam-3157	157	7	)	)	PUNCT
ejpam-3157	158	1	dz	dz	PROPN
ejpam-3157	158	2	=	=	SYM
ejpam-3157	158	3	∫	∫	PROPN
ejpam-3157	158	4	ω	ω	PROPN
ejpam-3157	158	5	(	(	PUNCT
ejpam-3157	158	6	n−1∑	n−1∑	PROPN
ejpam-3157	158	7	i=1	i=1	PROPN
ejpam-3157	158	8	uni	uni	PROPN
ejpam-3157	158	9	(	(	PUNCT
ejpam-3157	158	10	t)ϕi(z	t)ϕi(z	NOUN
ejpam-3157	158	11	)	)	PUNCT
ejpam-3157	158	12	n−1∑	n−1∑	NUM
ejpam-3157	158	13	j=1	j=1	NOUN
ejpam-3157	158	14	vjϕj(z	vjϕj(z	PROPN
ejpam-3157	158	15	)	)	PUNCT
ejpam-3157	158	16	)	)	PUNCT
ejpam-3157	158	17	dz	dz	PROPN
ejpam-3157	158	18	−(1−	−(1−	NOUN
ejpam-3157	158	19	θ)∆td	θ)∆td	X
ejpam-3157	158	20	∫	∫	PROPN
ejpam-3157	158	21	ω	ω	PROPN
ejpam-3157	158	22	∂	∂	X
ejpam-3157	158	23	∂z	∂z	PROPN
ejpam-3157	159	1	(	(	PUNCT
ejpam-3157	159	2	n∑	n∑	NOUN
ejpam-3157	159	3	i=0	i=0	PROPN
ejpam-3157	159	4	uni	uni	PROPN
ejpam-3157	159	5	(	(	PUNCT
ejpam-3157	159	6	t)ϕi(z	t)ϕi(z	NOUN
ejpam-3157	159	7	)	)	PUNCT
ejpam-3157	159	8	)	)	PUNCT
ejpam-3157	159	9	∂	∂	NUM
ejpam-3157	160	1	∂z	∂z	PROPN
ejpam-3157	160	2	(	(	PUNCT
ejpam-3157	160	3	n−1∑	n−1∑	NUM
ejpam-3157	160	4	j=1	j=1	NOUN
ejpam-3157	160	5	vjϕj(z	vjϕj(z	PROPN
ejpam-3157	160	6	)	)	PUNCT
ejpam-3157	160	7	)	)	PUNCT
ejpam-3157	161	1	dz	dz	PROPN
ejpam-3157	161	2	.	.	PUNCT
ejpam-3157	162	1	(	(	PUNCT
ejpam-3157	162	2	11	11	NUM
ejpam-3157	162	3	)	)	PUNCT
ejpam-3157	162	4	equation	equation	NOUN
ejpam-3157	162	5	(	(	PUNCT
ejpam-3157	162	6	11	11	NUM
ejpam-3157	162	7	)	)	PUNCT
ejpam-3157	162	8	is	be	AUX
ejpam-3157	162	9	equal	equal	ADJ
ejpam-3157	162	10	to	to	ADP
ejpam-3157	162	11	n−1∑	n−1∑	PROPN
ejpam-3157	162	12	i=1	i=1	PROPN
ejpam-3157	163	1	un+1	un+1	ADV
ejpam-3157	164	1	i	i	INTJ
ejpam-3157	164	2	(	(	PUNCT
ejpam-3157	164	3	t	t	PROPN
ejpam-3157	164	4	)	)	PUNCT
ejpam-3157	164	5	∫	∫	PROPN
ejpam-3157	164	6	sup	sup	PROPN
ejpam-3157	164	7	pϕi∩sup	pϕi∩sup	NOUN
ejpam-3157	164	8	pϕj	pϕj	CCONJ
ejpam-3157	164	9	ϕi(z)ϕj(z)dz	ϕi(z)ϕj(z)dz	PROPN
ejpam-3157	164	10	+	+	PROPN
ejpam-3157	164	11	ω	ω	PROPN
ejpam-3157	164	12	n−1∑	n−1∑	PROPN
ejpam-3157	164	13	i=1	i=1	PROPN
ejpam-3157	164	14	un+1	un+1	ADV
ejpam-3157	165	1	i	i	PRON
ejpam-3157	165	2	(	(	PUNCT
ejpam-3157	165	3	t	t	PROPN
ejpam-3157	165	4	)	)	PUNCT
ejpam-3157	165	5	∫	∫	PROPN
ejpam-3157	165	6	sup	sup	PROPN
ejpam-3157	165	7	pϕi∩sup	pϕi∩sup	PROPN
ejpam-3157	165	8	pϕj	pϕj	CCONJ
ejpam-3157	165	9	∂	∂	NUM
ejpam-3157	165	10	∂zϕi(z	∂zϕi(z	NOUN
ejpam-3157	165	11	)	)	PUNCT
ejpam-3157	165	12	∂	∂	NUM
ejpam-3157	165	13	∂zϕj(z)dz	∂zϕj(z)dz	NOUN
ejpam-3157	165	14	=	=	PUNCT
ejpam-3157	165	15	n−1∑	n−1∑	NUM
ejpam-3157	165	16	i=1	i=1	PROPN
ejpam-3157	165	17	uni	uni	PROPN
ejpam-3157	165	18	(	(	PUNCT
ejpam-3157	165	19	t	t	NOUN
ejpam-3157	165	20	)	)	PUNCT
ejpam-3157	165	21	∫	∫	PROPN
ejpam-3157	165	22	sup	sup	PROPN
ejpam-3157	165	23	pϕi∩sup	pϕi∩sup	PROPN
ejpam-3157	165	24	pϕj	pϕj	CCONJ
ejpam-3157	165	25	ϕi(z)ϕj(z)dz	ϕi(z)ϕj(z)dz	PROPN
ejpam-3157	165	26	−(1−	−(1−	NOUN
ejpam-3157	165	27	θ)∆td	θ)∆td	NOUN
ejpam-3157	165	28	n∑	n∑	PROPN
ejpam-3157	165	29	i=0	i=0	PROPN
ejpam-3157	165	30	uni	uni	PROPN
ejpam-3157	165	31	(	(	PUNCT
ejpam-3157	165	32	t	t	PROPN
ejpam-3157	165	33	)	)	PUNCT
ejpam-3157	165	34	∫	∫	PROPN
ejpam-3157	165	35	sup	sup	PROPN
ejpam-3157	165	36	pϕi∩sup	pϕi∩sup	PROPN
ejpam-3157	165	37	pϕj	pϕj	CCONJ
ejpam-3157	165	38	∂	∂	NUM
ejpam-3157	165	39	∂zϕi(z	∂zϕi(z	NOUN
ejpam-3157	165	40	)	)	PUNCT
ejpam-3157	165	41	∂	∂	NUM
ejpam-3157	165	42	∂zϕj(z)dz	∂zϕj(z)dz	NOUN
ejpam-3157	165	43	,	,	PUNCT
ejpam-3157	165	44	thus	thus	ADV
ejpam-3157	165	45	a.	a.	NOUN
ejpam-3157	165	46	allahem	allahem	PROPN
ejpam-3157	165	47	,	,	PUNCT
ejpam-3157	165	48	s.boulaaras	s.boulaara	NOUN
ejpam-3157	165	49	,	,	PUNCT
ejpam-3157	165	50	k.	k.	PROPN
ejpam-3157	165	51	zennir	zennir	PROPN
ejpam-3157	165	52	and	and	CCONJ
ejpam-3157	165	53	m.	m.	PROPN
ejpam-3157	165	54	haiour	haiour	PROPN
ejpam-3157	165	55	/	/	SYM
ejpam-3157	165	56	eur	eur	PROPN
ejpam-3157	165	57	.	.	PUNCT
ejpam-3157	166	1	j.	j.	PROPN
ejpam-3157	166	2	pure	pure	PROPN
ejpam-3157	166	3	appl	appl	PROPN
ejpam-3157	166	4	.	.	PROPN
ejpam-3157	166	5	math	math	PROPN
ejpam-3157	166	6	,	,	PUNCT
ejpam-3157	166	7	11	11	NUM
ejpam-3157	166	8	(	(	PUNCT
ejpam-3157	166	9	1	1	NUM
ejpam-3157	166	10	)	)	PUNCT
ejpam-3157	166	11	(	(	PUNCT
ejpam-3157	166	12	2018	2018	NUM
ejpam-3157	166	13	)	)	PUNCT
ejpam-3157	166	14	,	,	PUNCT
ejpam-3157	166	15	110	110	NUM
ejpam-3157	166	16	-	-	SYM
ejpam-3157	166	17	137	137	NUM
ejpam-3157	166	18	120	120	NUM
ejpam-3157	166	19	n−1∑	n−1∑	NUM
ejpam-3157	166	20	i=1	i=1	PROPN
ejpam-3157	166	21	un+1	un+1	ADV
ejpam-3157	167	1	i	i	PRON
ejpam-3157	167	2	(	(	PUNCT
ejpam-3157	167	3	t	t	PROPN
ejpam-3157	167	4	)	)	PUNCT
ejpam-3157	167	5			NOUN
ejpam-3157	167	6	∫	∫	PROPN
ejpam-3157	167	7	suppϕi∩suppϕj	suppϕi∩suppϕj	PROPN
ejpam-3157	167	8	ϕi(z	ϕi(z	NOUN
ejpam-3157	167	9	)	)	PUNCT
ejpam-3157	167	10	·	·	PUNCT
ejpam-3157	167	11	ϕj(z)dz	ϕj(z)dz	PUNCT
ejpam-3157	168	1	+	+	NOUN
ejpam-3157	168	2	ω	ω	NUM
ejpam-3157	168	3	∫	∫	PROPN
ejpam-3157	168	4	sup	sup	PROPN
ejpam-3157	168	5	pϕi∩sup	pϕi∩sup	PROPN
ejpam-3157	168	6	pϕj	pϕj	CCONJ
ejpam-3157	168	7	∂	∂	NUM
ejpam-3157	168	8	∂zϕi(z	∂zϕi(z	NOUN
ejpam-3157	168	9	)	)	PUNCT
ejpam-3157	168	10	∂	∂	NUM
ejpam-3157	168	11	∂zϕj(z)dz	∂zϕj(z)dz	NOUN
ejpam-3157	169	1			NOUN
ejpam-3157	169	2	=	=	SYM
ejpam-3157	169	3	−α(1−	−α(1−	NUM
ejpam-3157	169	4	θ)∆td	θ)∆td	NOUN
ejpam-3157	169	5	∫	∫	PROPN
ejpam-3157	169	6	sup	sup	PROPN
ejpam-3157	169	7	pϕi∩sup	pϕi∩sup	PROPN
ejpam-3157	169	8	pϕj	pϕj	CCONJ
ejpam-3157	169	9	∂	∂	NUM
ejpam-3157	169	10	∂zϕ0(z	∂zϕ0(z	NUM
ejpam-3157	169	11	)	)	PUNCT
ejpam-3157	169	12	∂	∂	NOUN
ejpam-3157	169	13	∂zϕ1(z)dz	∂zϕ1(z)dz	PROPN
ejpam-3157	170	1	−β(1−	−β(1−	ADJ
ejpam-3157	170	2	θ)∆td	θ)∆td	NOUN
ejpam-3157	170	3	∫	∫	PROPN
ejpam-3157	170	4	sup	sup	PROPN
ejpam-3157	170	5	pϕi∩sup	pϕi∩sup	PROPN
ejpam-3157	170	6	pϕj	pϕj	NOUN
ejpam-3157	170	7	∂	∂	NOUN
ejpam-3157	170	8	∂zϕn	∂zϕn	PUNCT
ejpam-3157	170	9	(	(	PUNCT
ejpam-3157	170	10	z	z	NOUN
ejpam-3157	170	11	)	)	PUNCT
ejpam-3157	170	12	∂	∂	NOUN
ejpam-3157	171	1	∂zϕn−1(z)dz	∂zϕn−1(z)dz	NOUN
ejpam-3157	172	1	+	+	CCONJ
ejpam-3157	172	2	n−1∑	n−1∑	NUM
ejpam-3157	172	3	i=1	i=1	PROPN
ejpam-3157	173	1	uni	uni	PROPN
ejpam-3157	173	2	(	(	PUNCT
ejpam-3157	173	3	t	t	NOUN
ejpam-3157	173	4	)	)	PUNCT
ejpam-3157	173	5			NOUN
ejpam-3157	174	1	∫	∫	PROPN
ejpam-3157	174	2	sup	sup	PROPN
ejpam-3157	174	3	pϕi∩sup	pϕi∩sup	PROPN
ejpam-3157	174	4	pϕj	pϕj	NOUN
ejpam-3157	174	5	ϕi(z	ϕi(z	NOUN
ejpam-3157	174	6	)	)	PUNCT
ejpam-3157	174	7	·	·	PUNCT
ejpam-3157	175	1	ϕj(z)dx	ϕj(z)dx	CCONJ
ejpam-3157	175	2	−(1−	−(1−	NOUN
ejpam-3157	175	3	θ)∆td	θ)∆td	X
ejpam-3157	175	4	∫	∫	PROPN
ejpam-3157	175	5	sup	sup	PROPN
ejpam-3157	175	6	pϕi∩sup	pϕi∩sup	PROPN
ejpam-3157	175	7	pϕj	pϕj	CCONJ
ejpam-3157	175	8	∂	∂	NUM
ejpam-3157	175	9	∂zϕi(x	∂zϕi(x	ADJ
ejpam-3157	175	10	)	)	PUNCT
ejpam-3157	175	11	∂	∂	NUM
ejpam-3157	175	12	∂zϕj(z)dz	∂zϕj(z)dz	NOUN
ejpam-3157	175	13	.	.	PUNCT
ejpam-3157	176	1			PRON
ejpam-3157	176	2	(	(	PUNCT
ejpam-3157	176	3	12	12	NUM
ejpam-3157	176	4	)	)	PUNCT
ejpam-3157	176	5	then	then	ADV
ejpam-3157	176	6	n−1∑	n−1∑	NUM
ejpam-3157	176	7	i=1	i=1	PROPN
ejpam-3157	177	1	un+1	un+1	ADV
ejpam-3157	177	2	i	i	INTJ
ejpam-3157	177	3	(	(	PUNCT
ejpam-3157	177	4	t	t	NOUN
ejpam-3157	177	5	)	)	PUNCT
ejpam-3157	177	6			NOUN
ejpam-3157	177	7	xi+1∫	xi+1∫	PUNCT
ejpam-3157	178	1	xi−1	xi−1	PROPN
ejpam-3157	178	2	ϕi(z	ϕi(z	NOUN
ejpam-3157	178	3	)	)	PUNCT
ejpam-3157	178	4	·	·	PUNCT
ejpam-3157	179	1	ϕj(z)dx	ϕj(z)dx	NOUN
ejpam-3157	179	2	+	+	NOUN
ejpam-3157	179	3	θ∆td	θ∆td	NOUN
ejpam-3157	179	4	xi+1∫	xi+1∫	NOUN
ejpam-3157	179	5	xi−1	xi−1	PROPN
ejpam-3157	179	6	∂	∂	NUM
ejpam-3157	179	7	∂zϕi(z	∂zϕi(z	NOUN
ejpam-3157	179	8	)	)	PUNCT
ejpam-3157	179	9	·	·	SYM
ejpam-3157	179	10	∂	∂	NUM
ejpam-3157	179	11	∂zϕj(z)dz	∂zϕj(z)dz	NOUN
ejpam-3157	179	12			PUNCT
ejpam-3157	180	1	=	=	PUNCT
ejpam-3157	180	2	−α(1−	−α(1−	NOUN
ejpam-3157	180	3	θ)∆td	θ)∆td	X
ejpam-3157	180	4	·	·	PUNCT
ejpam-3157	180	5	∫	∫	PROPN
ejpam-3157	180	6	sup	sup	PROPN
ejpam-3157	180	7	pϕi∩sup	pϕi∩sup	PROPN
ejpam-3157	180	8	pϕj	pϕj	CCONJ
ejpam-3157	180	9	∂	∂	NOUN
ejpam-3157	180	10	∂zϕ0(z	∂zϕ0(z	NUM
ejpam-3157	180	11	)	)	PUNCT
ejpam-3157	180	12	·	·	PUNCT
ejpam-3157	180	13	∂	∂	NUM
ejpam-3157	181	1	∂zϕ1(z)dz	∂zϕ1(z)dz	PROPN
ejpam-3157	181	2	−β(1−	−β(1−	ADJ
ejpam-3157	181	3	θ)∆td	θ)∆td	NOUN
ejpam-3157	181	4	·	·	PUNCT
ejpam-3157	181	5	∫	∫	PROPN
ejpam-3157	181	6	sup	sup	PROPN
ejpam-3157	181	7	pϕi∩sup	pϕi∩sup	PROPN
ejpam-3157	181	8	pϕj	pϕj	NOUN
ejpam-3157	181	9	∂	∂	NOUN
ejpam-3157	181	10	∂zϕn	∂zϕn	PUNCT
ejpam-3157	181	11	(	(	PUNCT
ejpam-3157	181	12	z	z	NOUN
ejpam-3157	181	13	)	)	PUNCT
ejpam-3157	181	14	∂	∂	NOUN
ejpam-3157	182	1	∂zϕn−1(z)dz	∂zϕn−1(z)dz	NOUN
ejpam-3157	183	1	+	+	CCONJ
ejpam-3157	183	2	n−1∑	n−1∑	NUM
ejpam-3157	183	3	i=1	i=1	PROPN
ejpam-3157	184	1	uni	uni	PROPN
ejpam-3157	184	2	(	(	PUNCT
ejpam-3157	184	3	t	t	NOUN
ejpam-3157	184	4	)	)	PUNCT
ejpam-3157	184	5			NOUN
ejpam-3157	184	6	xi+1∫	xi+1∫	PUNCT
ejpam-3157	185	1	xi−1	xi−1	PROPN
ejpam-3157	185	2	ϕi(z)ϕj(z)dz	ϕi(z)ϕj(z)dz	PROPN
ejpam-3157	185	3	−(1−	−(1−	NOUN
ejpam-3157	185	4	θ)∆td	θ)∆td	NOUN
ejpam-3157	185	5	xi+1∫	xi+1∫	PROPN
ejpam-3157	186	1	xi−1	xi−1	PROPN
ejpam-3157	186	2	∂	∂	NUM
ejpam-3157	186	3	∂zϕi(z	∂zϕi(z	NOUN
ejpam-3157	186	4	)	)	PUNCT
ejpam-3157	186	5	∂	∂	NUM
ejpam-3157	186	6	∂xϕj(z	∂xϕj(z	NOUN
ejpam-3157	186	7	)	)	PUNCT
ejpam-3157	186	8	dz	dz	PROPN
ejpam-3157	186	9			PROPN
ejpam-3157	186	10	(	(	PUNCT
ejpam-3157	186	11	13	13	NUM
ejpam-3157	186	12	)	)	PUNCT
ejpam-3157	186	13	with	with	ADP
ejpam-3157	186	14	basic	basic	ADJ
ejpam-3157	186	15	functions	function	NOUN
ejpam-3157	186	16	ϕi(z	ϕi(z	PUNCT
ejpam-3157	186	17	)	)	PUNCT
ejpam-3157	186	18	=	=	PUNCT
ejpam-3157	186	19			PUNCT
ejpam-3157	186	20	z−zi−1	z−zi−1	PROPN
ejpam-3157	186	21	h	h	NOUN
ejpam-3157	186	22	,	,	PUNCT
ejpam-3157	186	23	z	z	NOUN
ejpam-3157	186	24	∈	∈	PROPN
ejpam-3157	187	1	[	[	X
ejpam-3157	187	2	zi−1	zi−1	PROPN
ejpam-3157	187	3	,	,	PUNCT
ejpam-3157	187	4	zi	zi	PROPN
ejpam-3157	187	5	]	]	PUNCT
ejpam-3157	187	6	,	,	PUNCT
ejpam-3157	187	7	zi+1−z	zi+1−z	PROPN
ejpam-3157	187	8	h	h	NOUN
ejpam-3157	187	9	,	,	PUNCT
ejpam-3157	187	10	z	z	NOUN
ejpam-3157	187	11	∈	∈	PROPN
ejpam-3157	188	1	[	[	X
ejpam-3157	188	2	zi	zi	NOUN
ejpam-3157	188	3	,	,	PUNCT
ejpam-3157	188	4	zi+1	zi+1	X
ejpam-3157	188	5	]	]	PUNCT
ejpam-3157	188	6	and	and	CCONJ
ejpam-3157	188	7	a.	a.	NOUN
ejpam-3157	188	8	allahem	allahem	PROPN
ejpam-3157	188	9	,	,	PUNCT
ejpam-3157	188	10	s.boulaaras	s.boulaara	NOUN
ejpam-3157	188	11	,	,	PUNCT
ejpam-3157	188	12	k.	k.	PROPN
ejpam-3157	188	13	zennir	zennir	PROPN
ejpam-3157	188	14	and	and	CCONJ
ejpam-3157	188	15	m.	m.	PROPN
ejpam-3157	188	16	haiour	haiour	PROPN
ejpam-3157	188	17	/	/	SYM
ejpam-3157	188	18	eur	eur	PROPN
ejpam-3157	188	19	.	.	PUNCT
ejpam-3157	189	1	j.	j.	PROPN
ejpam-3157	189	2	pure	pure	PROPN
ejpam-3157	189	3	appl	appl	PROPN
ejpam-3157	189	4	.	.	PROPN
ejpam-3157	189	5	math	math	PROPN
ejpam-3157	189	6	,	,	PUNCT
ejpam-3157	189	7	11	11	NUM
ejpam-3157	189	8	(	(	PUNCT
ejpam-3157	189	9	1	1	NUM
ejpam-3157	189	10	)	)	PUNCT
ejpam-3157	189	11	(	(	PUNCT
ejpam-3157	189	12	2018	2018	NUM
ejpam-3157	189	13	)	)	PUNCT
ejpam-3157	189	14	,	,	PUNCT
ejpam-3157	189	15	110	110	NUM
ejpam-3157	189	16	-	-	SYM
ejpam-3157	189	17	137	137	NUM
ejpam-3157	189	18	121	121	NUM
ejpam-3157	189	19	ϕi−1(z	ϕi−1(z	NOUN
ejpam-3157	189	20	)	)	PUNCT
ejpam-3157	189	21	=	=	PUNCT
ejpam-3157	190	1			PUNCT
ejpam-3157	190	2	z−zi−2	z−zi−2	NUM
ejpam-3157	190	3	h	h	NOUN
ejpam-3157	190	4	,	,	PUNCT
ejpam-3157	190	5	z	z	NOUN
ejpam-3157	190	6	∈	∈	PROPN
ejpam-3157	191	1	[	[	X
ejpam-3157	191	2	zi−2	zi−2	PROPN
ejpam-3157	191	3	,	,	PUNCT
ejpam-3157	191	4	zi−1	zi−1	PROPN
ejpam-3157	191	5	]	]	PUNCT
ejpam-3157	191	6	,	,	PUNCT
ejpam-3157	191	7	zi−z	zi−z	PROPN
ejpam-3157	191	8	h	h	PROPN
ejpam-3157	191	9	,	,	PUNCT
ejpam-3157	191	10	z	z	NOUN
ejpam-3157	191	11	∈	∈	PROPN
ejpam-3157	192	1	[	[	X
ejpam-3157	192	2	zi−1	zi−1	PROPN
ejpam-3157	192	3	,	,	PUNCT
ejpam-3157	192	4	zi	zi	NOUN
ejpam-3157	192	5	]	]	PUNCT
ejpam-3157	192	6	with	with	ADP
ejpam-3157	192	7	h	h	NOUN
ejpam-3157	192	8	=	=	SYM
ejpam-3157	192	9	(	(	PUNCT
ejpam-3157	192	10	zi+1	zi+1	NUM
ejpam-3157	192	11	−	−	PROPN
ejpam-3157	192	12	zi	zi	NOUN
ejpam-3157	192	13	)	)	PUNCT
ejpam-3157	192	14	=	=	SYM
ejpam-3157	192	15	(	(	PUNCT
ejpam-3157	192	16	zi	zi	NOUN
ejpam-3157	192	17	−	−	PROPN
ejpam-3157	192	18	zi−1	zi−1	PROPN
ejpam-3157	192	19	)	)	PUNCT
ejpam-3157	192	20	.	.	PUNCT
ejpam-3157	193	1	to	to	PART
ejpam-3157	193	2	make	make	VERB
ejpam-3157	193	3	the	the	DET
ejpam-3157	193	4	calculations	calculation	NOUN
ejpam-3157	193	5	easier	easy	ADJ
ejpam-3157	193	6	,	,	PUNCT
ejpam-3157	193	7	we	we	PRON
ejpam-3157	193	8	make	make	VERB
ejpam-3157	193	9	a	a	DET
ejpam-3157	193	10	change	change	NOUN
ejpam-3157	193	11	change	change	NOUN
ejpam-3157	193	12	such	such	ADJ
ejpam-3157	193	13	as	as	ADP
ejpam-3157	193	14	{	{	PUNCT
ejpam-3157	193	15	z	z	NOUN
ejpam-3157	193	16	=	=	SYM
ejpam-3157	193	17	as+	as+	PROPN
ejpam-3157	194	1	b	b	X
ejpam-3157	194	2	z	z	X
ejpam-3157	194	3	∈	∈	PROPN
ejpam-3157	195	1	[	[	X
ejpam-3157	195	2	z	z	NOUN
ejpam-3157	195	3	,	,	PUNCT
ejpam-3157	195	4	zi+1	zi+1	NUM
ejpam-3157	195	5	]	]	X
ejpam-3157	195	6	linear	linear	ADJ
ejpam-3157	195	7	withdrawal−→	withdrawal−→	NOUN
ejpam-3157	195	8	s	s	PART
ejpam-3157	195	9	∈	∈	PROPN
ejpam-3157	196	1	[	[	X
ejpam-3157	196	2	0	0	NUM
ejpam-3157	196	3	,	,	PUNCT
ejpam-3157	196	4	1	1	NUM
ejpam-3157	196	5	]	]	PUNCT
ejpam-3157	196	6	,	,	PUNCT
ejpam-3157	196	7	thus	thus	ADV
ejpam-3157	196	8	,	,	PUNCT
ejpam-3157	196	9	it	it	PRON
ejpam-3157	196	10	can	can	AUX
ejpam-3157	196	11	be	be	AUX
ejpam-3157	196	12	easily	easily	ADV
ejpam-3157	196	13	found	find	VERB
ejpam-3157	196	14	:	:	PUNCT
ejpam-3157	196	15	ϕ0(s	ϕ0(s	X
ejpam-3157	196	16	)	)	PUNCT
ejpam-3157	196	17	=	=	PUNCT
ejpam-3157	197	1			PUNCT
ejpam-3157	197	2	(	(	PUNCT
ejpam-3157	197	3	1	1	NUM
ejpam-3157	197	4	+	+	NUM
ejpam-3157	197	5	s	s	NOUN
ejpam-3157	197	6	)	)	PUNCT
ejpam-3157	197	7	,	,	PUNCT
ejpam-3157	197	8	s	s	VERB
ejpam-3157	197	9	∈	∈	PROPN
ejpam-3157	198	1	[	[	X
ejpam-3157	198	2	−1	−1	NOUN
ejpam-3157	198	3	,	,	PUNCT
ejpam-3157	198	4	0	0	NUM
ejpam-3157	198	5	]	]	PUNCT
ejpam-3157	198	6	,	,	PUNCT
ejpam-3157	198	7	(	(	PUNCT
ejpam-3157	198	8	1−	1−	NUM
ejpam-3157	198	9	s	s	NOUN
ejpam-3157	198	10	)	)	PUNCT
ejpam-3157	198	11	,	,	PUNCT
ejpam-3157	198	12	s	s	VERB
ejpam-3157	198	13	∈	∈	PROPN
ejpam-3157	199	1	[	[	X
ejpam-3157	199	2	0	0	NUM
ejpam-3157	199	3	,	,	PUNCT
ejpam-3157	199	4	1	1	NUM
ejpam-3157	199	5	]	]	PUNCT
ejpam-3157	199	6	,	,	PUNCT
ejpam-3157	199	7	ϕ−1(s	ϕ−1(s	PROPN
ejpam-3157	199	8	)	)	PUNCT
ejpam-3157	199	9	=	=	PUNCT
ejpam-3157	199	10			PUNCT
ejpam-3157	199	11	(	(	PUNCT
ejpam-3157	199	12	1	1	NUM
ejpam-3157	199	13	+	+	NUM
ejpam-3157	199	14	s	s	NOUN
ejpam-3157	199	15	)	)	PUNCT
ejpam-3157	199	16	,	,	PUNCT
ejpam-3157	199	17	s	s	VERB
ejpam-3157	199	18	∈	∈	PROPN
ejpam-3157	200	1	[	[	X
ejpam-3157	200	2	−2,−1	−2,−1	X
ejpam-3157	200	3	]	]	PUNCT
ejpam-3157	200	4	,	,	PUNCT
ejpam-3157	200	5	−s	−s	NOUN
ejpam-3157	200	6	,	,	PUNCT
ejpam-3157	200	7	s	s	NOUN
ejpam-3157	200	8	∈	∈	PROPN
ejpam-3157	201	1	[	[	X
ejpam-3157	201	2	−1	−1	NOUN
ejpam-3157	201	3	,	,	PUNCT
ejpam-3157	201	4	0	0	NUM
ejpam-3157	201	5	]	]	PUNCT
ejpam-3157	201	6	and	and	CCONJ
ejpam-3157	201	7	ϕ1(s	ϕ1(s	X
ejpam-3157	201	8	)	)	PUNCT
ejpam-3157	201	9	=	=	PUNCT
ejpam-3157	201	10			PUNCT
ejpam-3157	201	11	(	(	PUNCT
ejpam-3157	201	12	1−	1−	NUM
ejpam-3157	201	13	s	s	NOUN
ejpam-3157	201	14	)	)	PUNCT
ejpam-3157	201	15	,	,	PUNCT
ejpam-3157	201	16	s	s	VERB
ejpam-3157	201	17	∈	∈	PROPN
ejpam-3157	202	1	[	[	X
ejpam-3157	202	2	0	0	NUM
ejpam-3157	202	3	,	,	PUNCT
ejpam-3157	202	4	1	1	NUM
ejpam-3157	202	5	]	]	PUNCT
ejpam-3157	202	6	,	,	PUNCT
ejpam-3157	202	7	−s	−s	NOUN
ejpam-3157	202	8	,	,	PUNCT
ejpam-3157	202	9	s	s	PART
ejpam-3157	202	10	∈	∈	PROPN
ejpam-3157	203	1	[	[	X
ejpam-3157	203	2	1	1	NUM
ejpam-3157	203	3	,	,	PUNCT
ejpam-3157	203	4	2	2	NUM
ejpam-3157	203	5	]	]	PUNCT
ejpam-3157	203	6	.	.	PUNCT
ejpam-3157	204	1	equation	equation	NOUN
ejpam-3157	204	2	(	(	PUNCT
ejpam-3157	204	3	13	13	NUM
ejpam-3157	204	4	)	)	PUNCT
ejpam-3157	204	5	becomes	become	VERB
ejpam-3157	204	6	a.	a.	NOUN
ejpam-3157	204	7	allahem	allahem	PROPN
ejpam-3157	204	8	,	,	PUNCT
ejpam-3157	204	9	s.boulaaras	s.boulaara	NOUN
ejpam-3157	204	10	,	,	PUNCT
ejpam-3157	204	11	k.	k.	PROPN
ejpam-3157	204	12	zennir	zennir	PROPN
ejpam-3157	204	13	and	and	CCONJ
ejpam-3157	204	14	m.	m.	PROPN
ejpam-3157	204	15	haiour	haiour	PROPN
ejpam-3157	204	16	/	/	SYM
ejpam-3157	204	17	eur	eur	PROPN
ejpam-3157	204	18	.	.	PUNCT
ejpam-3157	205	1	j.	j.	PROPN
ejpam-3157	205	2	pure	pure	PROPN
ejpam-3157	205	3	appl	appl	PROPN
ejpam-3157	205	4	.	.	PROPN
ejpam-3157	205	5	math	math	PROPN
ejpam-3157	205	6	,	,	PUNCT
ejpam-3157	205	7	11	11	NUM
ejpam-3157	205	8	(	(	PUNCT
ejpam-3157	205	9	1	1	NUM
ejpam-3157	205	10	)	)	PUNCT
ejpam-3157	205	11	(	(	PUNCT
ejpam-3157	205	12	2018	2018	NUM
ejpam-3157	205	13	)	)	PUNCT
ejpam-3157	205	14	,	,	PUNCT
ejpam-3157	205	15	110	110	NUM
ejpam-3157	205	16	-	-	SYM
ejpam-3157	205	17	137	137	NUM
ejpam-3157	205	18	122	122	NUM
ejpam-3157	205	19	n−1∑	n−1∑	NUM
ejpam-3157	205	20	i=1	i=1	PROPN
ejpam-3157	205	21	un+1	un+1	ADV
ejpam-3157	206	1	i	i	PRON
ejpam-3157	206	2	(	(	PUNCT
ejpam-3157	206	3	t	t	NOUN
ejpam-3157	206	4	)	)	PUNCT
ejpam-3157	206	5			NOUN
ejpam-3157	206	6	zi+1∫	zi+1∫	PRON
ejpam-3157	206	7	zi−1	zi−1	NOUN
ejpam-3157	206	8	ϕi(z	ϕi(z	NOUN
ejpam-3157	206	9	)	)	PUNCT
ejpam-3157	206	10	·	·	PUNCT
ejpam-3157	206	11	ϕj(z)dz	ϕj(z)dz	NOUN
ejpam-3157	207	1	︸	︸	X
ejpam-3157	207	2	︷︷	︷︷	NOUN
ejpam-3157	207	3	︸	︸	PRON
ejpam-3157	207	4	m	m	PROPN
ejpam-3157	207	5	+	+	ADJ
ejpam-3157	207	6	θ∆td	θ∆td	ADJ
ejpam-3157	207	7	zi+1∫	zi+1∫	PRON
ejpam-3157	207	8	zi−1	zi−1	PROPN
ejpam-3157	207	9	∂	∂	NUM
ejpam-3157	207	10	∂z	∂z	PROPN
ejpam-3157	207	11	ϕi(z	ϕi(z	NOUN
ejpam-3157	207	12	)	)	PUNCT
ejpam-3157	207	13	·	·	PUNCT
ejpam-3157	207	14	∂	∂	NUM
ejpam-3157	208	1	∂z	∂z	PROPN
ejpam-3157	208	2	ϕj(z	ϕj(z	NOUN
ejpam-3157	208	3	)	)	PUNCT
ejpam-3157	208	4	dz	dz	PROPN
ejpam-3157	208	5	︸	︸	X
ejpam-3157	209	1	︷︷	︷︷	PROPN
ejpam-3157	209	2	︸	︸	ADP
ejpam-3157	209	3	a	a	DET
ejpam-3157	209	4			NOUN
ejpam-3157	210	1	=	=	PUNCT
ejpam-3157	211	1	−α(1−	−α(1−	NUM
ejpam-3157	211	2	θ)∆td	θ)∆td	NOUN
ejpam-3157	211	3	∫	∫	PROPN
ejpam-3157	211	4	sup	sup	PROPN
ejpam-3157	211	5	pϕi∩sup	pϕi∩sup	PROPN
ejpam-3157	211	6	pϕj	pϕj	CCONJ
ejpam-3157	211	7	∂	∂	NOUN
ejpam-3157	211	8	∂zϕ0(z	∂zϕ0(z	NUM
ejpam-3157	211	9	)	)	PUNCT
ejpam-3157	211	10	·	·	PUNCT
ejpam-3157	212	1	∂	∂	NUM
ejpam-3157	213	1	∂zϕ1(z)dz	∂zϕ1(z)dz	PROPN
ejpam-3157	213	2	−β(1−	−β(1−	ADJ
ejpam-3157	213	3	θ)∆td	θ)∆td	NOUN
ejpam-3157	213	4	∫	∫	PROPN
ejpam-3157	213	5	sup	sup	PROPN
ejpam-3157	213	6	pϕi∩sup	pϕi∩sup	PROPN
ejpam-3157	213	7	pϕj	pϕj	NOUN
ejpam-3157	213	8	∂	∂	NOUN
ejpam-3157	213	9	∂zϕn	∂zϕn	PUNCT
ejpam-3157	213	10	(	(	PUNCT
ejpam-3157	213	11	z	z	NOUN
ejpam-3157	213	12	)	)	PUNCT
ejpam-3157	213	13	·	·	PUNCT
ejpam-3157	213	14	∂	∂	NUM
ejpam-3157	213	15	∂zϕn−1(z)dz	∂zϕn−1(z)dz	NOUN
ejpam-3157	213	16	+	+	CCONJ
ejpam-3157	213	17	n−1∑	n−1∑	NUM
ejpam-3157	213	18	i=1	i=1	PROPN
ejpam-3157	213	19	uni	uni	PROPN
ejpam-3157	213	20	(	(	PUNCT
ejpam-3157	213	21	t	t	NOUN
ejpam-3157	213	22	)	)	PUNCT
ejpam-3157	213	23			NOUN
ejpam-3157	213	24	zi+1∫	zi+1∫	PRON
ejpam-3157	213	25	zi−1	zi−1	PROPN
ejpam-3157	213	26	ϕi(z	ϕi(z	NOUN
ejpam-3157	213	27	)	)	PUNCT
ejpam-3157	213	28	·	·	PUNCT
ejpam-3157	213	29	ϕj(z)dz	ϕj(z)dz	ADJ
ejpam-3157	213	30	−(1−	−(1−	NOUN
ejpam-3157	213	31	θ)∆td	θ)∆td	X
ejpam-3157	213	32	zi+1∫	zi+1∫	PRON
ejpam-3157	213	33	zi−1	zi−1	PROPN
ejpam-3157	213	34	∂	∂	NUM
ejpam-3157	213	35	∂zϕi(z	∂zϕi(z	NOUN
ejpam-3157	213	36	)	)	PUNCT
ejpam-3157	213	37	·	·	SYM
ejpam-3157	213	38	∂	∂	NUM
ejpam-3157	213	39	∂zϕj(z)dz	∂zϕj(z)dz	NOUN
ejpam-3157	213	40	.	.	PUNCT
ejpam-3157	214	1			ADV
ejpam-3157	214	2	therefore	therefore	ADV
ejpam-3157	214	3	,	,	PUNCT
ejpam-3157	214	4	we	we	PRON
ejpam-3157	214	5	get	get	VERB
ejpam-3157	214	6	the	the	DET
ejpam-3157	214	7	following	follow	VERB
ejpam-3157	214	8	linear	linear	NOUN
ejpam-3157	214	9	system	system	NOUN
ejpam-3157	214	10	(	(	PUNCT
ejpam-3157	214	11	m	m	PROPN
ejpam-3157	214	12	+	+	X
ejpam-3157	214	13	θ∆tda)un+1	θ∆tda)un+1	PROPN
ejpam-3157	214	14	=	=	SYM
ejpam-3157	214	15	(	(	PUNCT
ejpam-3157	214	16	m	m	VERB
ejpam-3157	214	17	−	−	PROPN
ejpam-3157	214	18	(	(	PUNCT
ejpam-3157	214	19	1−	1−	NUM
ejpam-3157	214	20	θ)∆tda)un	θ)∆tda)un	PROPN
ejpam-3157	214	21	−(1−	−(1−	ADP
ejpam-3157	214	22	θ)∆tdb	θ)∆tdb	PROPN
ejpam-3157	214	23	,	,	PUNCT
ejpam-3157	214	24	(	(	PUNCT
ejpam-3157	214	25	14	14	NUM
ejpam-3157	214	26	)	)	PUNCT
ejpam-3157	214	27	where	where	SCONJ
ejpam-3157	214	28	m	m	VERB
ejpam-3157	214	29	and	and	CCONJ
ejpam-3157	214	30	a	a	PRON
ejpam-3157	214	31	are	be	AUX
ejpam-3157	214	32	symmetric	symmetric	ADJ
ejpam-3157	214	33	tridiagonal	tridiagonal	ADJ
ejpam-3157	214	34	matrix	matrix	NOUN
ejpam-3157	214	35	,	,	PUNCT
ejpam-3157	214	36	their	their	PRON
ejpam-3157	214	37	dimension	dimension	NOUN
ejpam-3157	214	38	is	be	AUX
ejpam-3157	214	39	(	(	PUNCT
ejpam-3157	214	40	n	n	CCONJ
ejpam-3157	214	41	−	−	PROPN
ejpam-3157	214	42	1)×(n	1)×(n	NUM
ejpam-3157	214	43	−	−	NOUN
ejpam-3157	214	44	1	1	NUM
ejpam-3157	214	45	)	)	PUNCT
ejpam-3157	214	46	and	and	CCONJ
ejpam-3157	214	47	m	m	VERB
ejpam-3157	214	48	=	=	VERB
ejpam-3157	214	49	m	m	ADJ
ejpam-3157	214	50	(	(	PUNCT
ejpam-3157	214	51	ϕi	ϕi	ADP
ejpam-3157	214	52	,	,	PUNCT
ejpam-3157	214	53	ϕj	ϕj	NOUN
ejpam-3157	214	54	)	)	PUNCT
ejpam-3157	214	55	=	=	SYM
ejpam-3157	215	1	zi+1∫	zi+1∫	PRON
ejpam-3157	215	2	zi−1	zi−1	PROPN
ejpam-3157	215	3	ϕi(z	ϕi(z	NOUN
ejpam-3157	215	4	)	)	PUNCT
ejpam-3157	215	5	·	·	PUNCT
ejpam-3157	216	1	ϕj(z)dz	ϕj(z)dz	ADV
ejpam-3157	216	2	,	,	PUNCT
ejpam-3157	216	3	a	a	PRON
ejpam-3157	216	4	=	=	X
ejpam-3157	216	5	a	a	DET
ejpam-3157	216	6	(	(	PUNCT
ejpam-3157	216	7	ϕi	ϕi	PROPN
ejpam-3157	216	8	,	,	PUNCT
ejpam-3157	216	9	ϕj	ϕj	NOUN
ejpam-3157	216	10	)	)	PUNCT
ejpam-3157	216	11	=	=	SYM
ejpam-3157	216	12	zi+1∫	zi+1∫	PRON
ejpam-3157	216	13	zi−1	zi−1	PROPN
ejpam-3157	216	14	ϕi(z	ϕi(z	NOUN
ejpam-3157	216	15	)	)	PUNCT
ejpam-3157	216	16	·	·	PUNCT
ejpam-3157	216	17	ϕj(z)dz	ϕj(z)dz	ADJ
ejpam-3157	216	18	with	with	ADP
ejpam-3157	216	19	b=	b=	NOUN
ejpam-3157	216	20	(	(	PUNCT
ejpam-3157	216	21	αa(ϕ0	αa(ϕ0	X
ejpam-3157	216	22	,	,	PUNCT
ejpam-3157	216	23	ϕ1	ϕ1	NOUN
ejpam-3157	216	24	)	)	PUNCT
ejpam-3157	216	25	,	,	PUNCT
ejpam-3157	216	26	...	...	PUNCT
ejpam-3157	216	27	,	,	PUNCT
ejpam-3157	216	28	βa(ϕn	βa(ϕn	PROPN
ejpam-3157	216	29	,	,	PUNCT
ejpam-3157	216	30	ϕn−1))t	ϕn−1))t	INTJ
ejpam-3157	216	31	.	.	PUNCT
ejpam-3157	216	32	a.	a.	PROPN
ejpam-3157	216	33	allahem	allahem	PROPN
ejpam-3157	216	34	,	,	PUNCT
ejpam-3157	216	35	s.boulaaras	s.boulaara	NOUN
ejpam-3157	216	36	,	,	PUNCT
ejpam-3157	216	37	k.	k.	PROPN
ejpam-3157	216	38	zennir	zennir	PROPN
ejpam-3157	216	39	and	and	CCONJ
ejpam-3157	216	40	m.	m.	PROPN
ejpam-3157	216	41	haiour	haiour	PROPN
ejpam-3157	216	42	/	/	SYM
ejpam-3157	216	43	eur	eur	PROPN
ejpam-3157	216	44	.	.	PUNCT
ejpam-3157	217	1	j.	j.	PROPN
ejpam-3157	217	2	pure	pure	PROPN
ejpam-3157	217	3	appl	appl	PROPN
ejpam-3157	217	4	.	.	PROPN
ejpam-3157	217	5	math	math	PROPN
ejpam-3157	217	6	,	,	PUNCT
ejpam-3157	217	7	11	11	NUM
ejpam-3157	217	8	(	(	PUNCT
ejpam-3157	217	9	1	1	NUM
ejpam-3157	217	10	)	)	PUNCT
ejpam-3157	217	11	(	(	PUNCT
ejpam-3157	217	12	2018	2018	NUM
ejpam-3157	217	13	)	)	PUNCT
ejpam-3157	217	14	,	,	PUNCT
ejpam-3157	217	15	110	110	NUM
ejpam-3157	217	16	-	-	SYM
ejpam-3157	217	17	137	137	NUM
ejpam-3157	217	18	123	123	NUM
ejpam-3157	217	19	in	in	ADP
ejpam-3157	217	20	addition	addition	NOUN
ejpam-3157	217	21	,	,	PUNCT
ejpam-3157	217	22	we	we	PRON
ejpam-3157	217	23	have	have	AUX
ejpam-3157	217	24	un+1	un+1	NOUN
ejpam-3157	217	25	=	=	SYM
ejpam-3157	217	26	n−1∑	n−1∑	PROPN
ejpam-3157	218	1	i=1	i=1	PROPN
ejpam-3157	218	2	un+1	un+1	ADV
ejpam-3157	219	1	i	i	PRON
ejpam-3157	219	2	(	(	PUNCT
ejpam-3157	219	3	t	t	PROPN
ejpam-3157	219	4	)	)	PUNCT
ejpam-3157	219	5	and	and	CCONJ
ejpam-3157	219	6	un	un	PROPN
ejpam-3157	219	7	=	=	PROPN
ejpam-3157	219	8	n−1∑	n−1∑	PROPN
ejpam-3157	219	9	i=1	i=1	PROPN
ejpam-3157	219	10	tn	tn	PROPN
ejpam-3157	219	11	i	i	PRON
ejpam-3157	219	12	(	(	PUNCT
ejpam-3157	219	13	t	t	PROPN
ejpam-3157	219	14	)	)	PUNCT
ejpam-3157	219	15	.	.	PUNCT
ejpam-3157	220	1	now	now	ADV
ejpam-3157	220	2	,	,	PUNCT
ejpam-3157	220	3	it	it	PRON
ejpam-3157	220	4	is	be	AUX
ejpam-3157	220	5	easy	easy	ADJ
ejpam-3157	220	6	to	to	PART
ejpam-3157	220	7	calculate	calculate	VERB
ejpam-3157	220	8	m(ϕi	m(ϕi	NOUN
ejpam-3157	220	9	,	,	PUNCT
ejpam-3157	220	10	ϕj	ϕj	NOUN
ejpam-3157	220	11	)	)	PUNCT
ejpam-3157	220	12	,	,	PUNCT
ejpam-3157	220	13	a(ϕi	a(ϕi	PROPN
ejpam-3157	220	14	,	,	PUNCT
ejpam-3157	220	15	ϕj	ϕj	NOUN
ejpam-3157	220	16	)	)	PUNCT
ejpam-3157	220	17	as	as	ADP
ejpam-3157	220	18	following	follow	VERB
ejpam-3157	220	19	:	:	PUNCT
ejpam-3157	220	20	m(ϕi	m(ϕi	NUM
ejpam-3157	220	21	,	,	PUNCT
ejpam-3157	220	22	ϕj	ϕj	NOUN
ejpam-3157	220	23	)	)	PUNCT
ejpam-3157	220	24	=	=	PUNCT
ejpam-3157	221	1			PUNCT
ejpam-3157	221	2	2h	2h	NUM
ejpam-3157	221	3	3	3	NUM
ejpam-3157	221	4	,	,	PUNCT
ejpam-3157	221	5	i	i	PRON
ejpam-3157	221	6	=	=	SYM
ejpam-3157	221	7	j	j	PROPN
ejpam-3157	221	8	,	,	PUNCT
ejpam-3157	221	9	h	h	PROPN
ejpam-3157	221	10	6	6	NUM
ejpam-3157	221	11	,	,	PUNCT
ejpam-3157	221	12	|i−	|i−	NOUN
ejpam-3157	221	13	j|	j|	NOUN
ejpam-3157	221	14	=	=	SYM
ejpam-3157	221	15	1	1	NUM
ejpam-3157	221	16	and	and	CCONJ
ejpam-3157	221	17	a(ϕi	a(ϕi	NOUN
ejpam-3157	221	18	,	,	PUNCT
ejpam-3157	221	19	ϕj	ϕj	NOUN
ejpam-3157	221	20	)	)	PUNCT
ejpam-3157	221	21	=	=	PUNCT
ejpam-3157	221	22			PUNCT
ejpam-3157	221	23	2	2	NUM
ejpam-3157	221	24	h	h	NOUN
ejpam-3157	221	25	,	,	PUNCT
ejpam-3157	222	1	i	i	PRON
ejpam-3157	222	2	=	=	SYM
ejpam-3157	222	3	j	j	PROPN
ejpam-3157	222	4	,	,	PUNCT
ejpam-3157	222	5	−	−	PROPN
ejpam-3157	222	6	1	1	NUM
ejpam-3157	222	7	h	h	NOUN
ejpam-3157	222	8	,	,	PUNCT
ejpam-3157	222	9	|i−	|i−	NOUN
ejpam-3157	222	10	j|	j|	PROPN
ejpam-3157	222	11	=	=	SYM
ejpam-3157	223	1	1	1	NUM
ejpam-3157	223	2	.	.	NOUN
ejpam-3157	223	3	4	4	NUM
ejpam-3157	223	4	.	.	X
ejpam-3157	223	5	application	application	NOUN
ejpam-3157	223	6	4.1	4.1	NUM
ejpam-3157	223	7	.	.	PUNCT
ejpam-3157	224	1	error	error	NOUN
ejpam-3157	224	2	evaluation	evaluation	NOUN
ejpam-3157	224	3	to	to	PART
ejpam-3157	224	4	put	put	VERB
ejpam-3157	224	5	our	our	PRON
ejpam-3157	224	6	work	work	NOUN
ejpam-3157	224	7	into	into	ADP
ejpam-3157	224	8	practice	practice	NOUN
ejpam-3157	224	9	,	,	PUNCT
ejpam-3157	224	10	measurements	measurement	NOUN
ejpam-3157	224	11	of	of	ADP
ejpam-3157	224	12	the	the	DET
ejpam-3157	224	13	temperature	temperature	NOUN
ejpam-3157	224	14	on	on	ADP
ejpam-3157	224	15	the	the	DET
ejpam-3157	224	16	ground	ground	NOUN
ejpam-3157	224	17	and	and	CCONJ
ejpam-3157	224	18	in	in	ADP
ejpam-3157	224	19	the	the	DET
ejpam-3157	224	20	soil	soil	NOUN
ejpam-3157	224	21	are	be	AUX
ejpam-3157	224	22	made	make	VERB
ejpam-3157	224	23	,	,	PUNCT
ejpam-3157	224	24	that	that	ADV
ejpam-3157	224	25	is	is	ADV
ejpam-3157	224	26	,	,	PUNCT
ejpam-3157	224	27	virtual	virtual	ADJ
ejpam-3157	224	28	data	datum	NOUN
ejpam-3157	224	29	was	be	AUX
ejpam-3157	224	30	used	use	VERB
ejpam-3157	224	31	to	to	PART
ejpam-3157	224	32	highlight	highlight	VERB
ejpam-3157	224	33	the	the	DET
ejpam-3157	224	34	accuracy	accuracy	NOUN
ejpam-3157	224	35	of	of	ADP
ejpam-3157	224	36	the	the	DET
ejpam-3157	224	37	method	method	NOUN
ejpam-3157	224	38	using	use	VERB
ejpam-3157	224	39	the	the	DET
ejpam-3157	224	40	error	error	NOUN
ejpam-3157	224	41	assessment	assessment	NOUN
ejpam-3157	224	42	according	accord	VERB
ejpam-3157	224	43	to	to	ADP
ejpam-3157	224	44	weather	weather	NOUN
ejpam-3157	224	45	temperatures	temperature	NOUN
ejpam-3157	224	46	data	datum	NOUN
ejpam-3157	224	47	at	at	ADP
ejpam-3157	224	48	qassim	qassim	PROPN
ejpam-3157	224	49	province	province	PROPN
ejpam-3157	224	50	,	,	PUNCT
ejpam-3157	224	51	qassim	qassim	NOUN
ejpam-3157	224	52	province	province	NOUN
ejpam-3157	224	53	is	be	AUX
ejpam-3157	224	54	one	one	NUM
ejpam-3157	224	55	of	of	ADP
ejpam-3157	224	56	the	the	DET
ejpam-3157	224	57	thirteen	thirteen	NUM
ejpam-3157	224	58	administrative	administrative	ADJ
ejpam-3157	224	59	regions	region	NOUN
ejpam-3157	224	60	of	of	ADP
ejpam-3157	224	61	kingdom	kingdom	NOUN
ejpam-3157	224	62	of	of	ADP
ejpam-3157	224	63	saudi	saudi	PROPN
ejpam-3157	224	64	arabia	arabia	PROPN
ejpam-3157	224	65	.	.	PUNCT
ejpam-3157	225	1	located	locate	VERB
ejpam-3157	225	2	at	at	ADP
ejpam-3157	225	3	the	the	DET
ejpam-3157	225	4	heart	heart	NOUN
ejpam-3157	225	5	of	of	ADP
ejpam-3157	225	6	the	the	DET
ejpam-3157	225	7	country	country	NOUN
ejpam-3157	225	8	,	,	PUNCT
ejpam-3157	225	9	and	and	CCONJ
ejpam-3157	225	10	almost	almost	ADV
ejpam-3157	225	11	in	in	ADP
ejpam-3157	225	12	the	the	DET
ejpam-3157	225	13	center	center	NOUN
ejpam-3157	225	14	of	of	ADP
ejpam-3157	225	15	the	the	DET
ejpam-3157	225	16	arabian	arabian	ADJ
ejpam-3157	225	17	peninsula	peninsula	NOUN
ejpam-3157	225	18	,	,	PUNCT
ejpam-3157	225	19	it	it	PRON
ejpam-3157	225	20	has	have	VERB
ejpam-3157	225	21	a	a	DET
ejpam-3157	225	22	population	population	NOUN
ejpam-3157	225	23	of	of	ADP
ejpam-3157	225	24	1	1	NUM
ejpam-3157	225	25	,	,	PUNCT
ejpam-3157	225	26	370	370	NUM
ejpam-3157	225	27	,	,	PUNCT
ejpam-3157	225	28	727	727	NUM
ejpam-3157	225	29	and	and	CCONJ
ejpam-3157	225	30	an	an	DET
ejpam-3157	225	31	area	area	NOUN
ejpam-3157	225	32	of	of	ADP
ejpam-3157	225	33	58	58	NUM
ejpam-3157	225	34	,	,	PUNCT
ejpam-3157	225	35	046	046	NUM
ejpam-3157	225	36	km2	km2	NOUN
ejpam-3157	225	37	.	.	PUNCT
ejpam-3157	226	1	it	it	PRON
ejpam-3157	226	2	is	be	AUX
ejpam-3157	226	3	known	know	VERB
ejpam-3157	226	4	to	to	PART
ejpam-3157	226	5	be	be	AUX
ejpam-3157	226	6	the	the	DET
ejpam-3157	226	7	”	"	PUNCT
ejpam-3157	226	8	alimental	alimental	ADJ
ejpam-3157	226	9	basket	basket	NOUN
ejpam-3157	226	10	”	"	PUNCT
ejpam-3157	226	11	of	of	ADP
ejpam-3157	226	12	the	the	DET
ejpam-3157	226	13	country	country	NOUN
ejpam-3157	226	14	,	,	PUNCT
ejpam-3157	226	15	for	for	ADP
ejpam-3157	226	16	its	its	PRON
ejpam-3157	226	17	agricultural	agricultural	ADJ
ejpam-3157	226	18	assets	asset	NOUN
ejpam-3157	226	19	.	.	PUNCT
ejpam-3157	227	1	4.2	4.2	NUM
ejpam-3157	227	2	.	.	X
ejpam-3157	227	3	obtaining	obtain	VERB
ejpam-3157	227	4	initial	initial	ADJ
ejpam-3157	227	5	data	datum	NOUN
ejpam-3157	227	6	1	1	NUM
ejpam-3157	227	7	-	-	NUM
ejpam-3157	227	8	the	the	DET
ejpam-3157	227	9	data	datum	NOUN
ejpam-3157	227	10	are	be	AUX
ejpam-3157	227	11	considered	consider	VERB
ejpam-3157	227	12	according	accord	VERB
ejpam-3157	227	13	to	to	ADP
ejpam-3157	227	14	the	the	DET
ejpam-3157	227	15	weather	weather	NOUN
ejpam-3157	227	16	data	datum	NOUN
ejpam-3157	227	17	:	:	PUNCT
ejpam-3157	227	18	the	the	DET
ejpam-3157	227	19	temperature	temperature	NOUN
ejpam-3157	227	20	at	at	ADP
ejpam-3157	227	21	agricultural	agricultural	ADJ
ejpam-3157	227	22	ground	ground	NOUN
ejpam-3157	227	23	level	level	NOUN
ejpam-3157	227	24	,	,	PUNCT
ejpam-3157	227	25	the	the	DET
ejpam-3157	227	26	maximum	maximum	ADJ
ejpam-3157	227	27	and	and	CCONJ
ejpam-3157	227	28	minimum	minimum	ADJ
ejpam-3157	227	29	temperature	temperature	NOUN
ejpam-3157	227	30	on	on	ADP
ejpam-3157	227	31	the	the	DET
ejpam-3157	227	32	ground	ground	NOUN
ejpam-3157	227	33	,	,	PUNCT
ejpam-3157	227	34	the	the	DET
ejpam-3157	227	35	temperatures	temperature	NOUN
ejpam-3157	227	36	of	of	ADP
ejpam-3157	227	37	four	four	NUM
ejpam-3157	227	38	levels	level	NOUN
ejpam-3157	227	39	in	in	ADP
ejpam-3157	227	40	the	the	DET
ejpam-3157	227	41	soil	soil	NOUN
ejpam-3157	227	42	(	(	PUNCT
ejpam-3157	227	43	10	10	NUM
ejpam-3157	227	44	,	,	PUNCT
ejpam-3157	227	45	20	20	NUM
ejpam-3157	227	46	,	,	PUNCT
ejpam-3157	227	47	30	30	NUM
ejpam-3157	227	48	and	and	CCONJ
ejpam-3157	227	49	50	50	NUM
ejpam-3157	227	50	cm	cm	NUM
ejpam-3157	227	51	)	)	PUNCT
ejpam-3157	227	52	.	.	PUNCT
ejpam-3157	228	1	we	we	PRON
ejpam-3157	228	2	consider	consider	VERB
ejpam-3157	228	3	the	the	DET
ejpam-3157	228	4	data	datum	NOUN
ejpam-3157	228	5	of	of	ADP
ejpam-3157	228	6	march	march	PROPN
ejpam-3157	228	7	2017	2017	NUM
ejpam-3157	228	8	whose	whose	DET
ejpam-3157	228	9	selected	select	VERB
ejpam-3157	228	10	days	day	NOUN
ejpam-3157	228	11	are	be	AUX
ejpam-3157	228	12	from	from	ADP
ejpam-3157	228	13	7	7	NUM
ejpam-3157	228	14	to	to	PART
ejpam-3157	228	15	10	10	NUM
ejpam-3157	228	16	.	.	PUNCT
ejpam-3157	229	1	2	2	NUM
ejpam-3157	229	2	-	-	PUNCT
ejpam-3157	229	3	as	as	ADP
ejpam-3157	229	4	with	with	ADP
ejpam-3157	229	5	all	all	DET
ejpam-3157	229	6	numerical	numerical	PROPN
ejpam-3157	229	7	forecast	forecast	NOUN
ejpam-3157	229	8	models	model	NOUN
ejpam-3157	229	9	,	,	PUNCT
ejpam-3157	229	10	data	datum	NOUN
ejpam-3157	229	11	at	at	ADP
ejpam-3157	229	12	the	the	DET
ejpam-3157	229	13	boundaries	boundary	NOUN
ejpam-3157	229	14	of	of	ADP
ejpam-3157	229	15	the	the	DET
ejpam-3157	229	16	domain	domain	NOUN
ejpam-3157	229	17	is	be	AUX
ejpam-3157	229	18	needed	need	VERB
ejpam-3157	229	19	.	.	PUNCT
ejpam-3157	230	1	the	the	DET
ejpam-3157	230	2	boundary	boundary	ADJ
ejpam-3157	230	3	α	α	PROPN
ejpam-3157	230	4	is	be	AUX
ejpam-3157	230	5	the	the	DET
ejpam-3157	230	6	ground	ground	NOUN
ejpam-3157	230	7	temperature	temperature	NOUN
ejpam-3157	230	8	that	that	PRON
ejpam-3157	230	9	is	be	AUX
ejpam-3157	230	10	calculated	calculate	VERB
ejpam-3157	230	11	every	every	DET
ejpam-3157	230	12	10	10	NUM
ejpam-3157	230	13	minutes	minute	NOUN
ejpam-3157	230	14	(	(	PUNCT
ejpam-3157	230	15	using	use	VERB
ejpam-3157	230	16	a	a	DET
ejpam-3157	230	17	linear	linear	ADJ
ejpam-3157	230	18	interpolation	interpolation	NOUN
ejpam-3157	230	19	between	between	ADP
ejpam-3157	230	20	the	the	DET
ejpam-3157	230	21	minimum	minimum	NOUN
ejpam-3157	230	22	and	and	CCONJ
ejpam-3157	230	23	the	the	DET
ejpam-3157	230	24	maximum	maximum	NOUN
ejpam-3157	230	25	of	of	ADP
ejpam-3157	230	26	a	a	DET
ejpam-3157	230	27	given	give	VERB
ejpam-3157	230	28	day	day	NOUN
ejpam-3157	230	29	,	,	PUNCT
ejpam-3157	230	30	while	while	SCONJ
ejpam-3157	230	31	considering	consider	VERB
ejpam-3157	230	32	the	the	DET
ejpam-3157	230	33	maximum	maximum	ADJ
ejpam-3157	230	34	and	and	CCONJ
ejpam-3157	230	35	minimum	minimum	NOUN
ejpam-3157	230	36	tim	tim	PROPN
ejpam-3157	230	37	)	)	PUNCT
ejpam-3157	230	38	and	and	CCONJ
ejpam-3157	230	39	the	the	DET
ejpam-3157	230	40	boundary	boundary	ADJ
ejpam-3157	230	41	β	β	NOUN
ejpam-3157	230	42	is	be	AUX
ejpam-3157	230	43	considered	consider	VERB
ejpam-3157	230	44	according	accord	VERB
ejpam-3157	230	45	to	to	ADP
ejpam-3157	230	46	a	a	DET
ejpam-3157	230	47	previous	previous	ADJ
ejpam-3157	230	48	study	study	NOUN
ejpam-3157	230	49	in	in	ADP
ejpam-3157	230	50	[	[	X
ejpam-3157	230	51	17	17	NUM
ejpam-3157	230	52	]	]	PUNCT
ejpam-3157	230	53	,	,	PUNCT
ejpam-3157	230	54	during	during	ADP
ejpam-3157	230	55	a	a	DET
ejpam-3157	230	56	day	day	NOUN
ejpam-3157	230	57	,	,	PUNCT
ejpam-3157	230	58	the	the	DET
ejpam-3157	230	59	storage	storage	NOUN
ejpam-3157	230	60	of	of	ADP
ejpam-3157	230	61	heat	heat	NOUN
ejpam-3157	230	62	in	in	ADP
ejpam-3157	230	63	the	the	DET
ejpam-3157	230	64	soil	soil	NOUN
ejpam-3157	230	65	concerns	concern	NOUN
ejpam-3157	230	66	only	only	ADV
ejpam-3157	230	67	the	the	DET
ejpam-3157	230	68	first	first	ADJ
ejpam-3157	230	69	layer	layer	NOUN
ejpam-3157	230	70	of	of	ADP
ejpam-3157	230	71	soil	soil	NOUN
ejpam-3157	230	72	not	not	PART
ejpam-3157	230	73	exceeding	exceed	VERB
ejpam-3157	230	74	60	60	NUM
ejpam-3157	230	75	cm	cm	NOUN
ejpam-3157	230	76	.	.	PUNCT
ejpam-3157	231	1	the	the	DET
ejpam-3157	231	2	results	result	NOUN
ejpam-3157	231	3	obtained	obtain	VERB
ejpam-3157	231	4	show	show	VERB
ejpam-3157	231	5	that	that	SCONJ
ejpam-3157	231	6	the	the	DET
ejpam-3157	231	7	temperature	temperature	NOUN
ejpam-3157	231	8	field	field	NOUN
ejpam-3157	231	9	in	in	ADP
ejpam-3157	231	10	the	the	DET
ejpam-3157	231	11	upper	upper	ADJ
ejpam-3157	231	12	soil	soil	NOUN
ejpam-3157	231	13	layer	layer	NOUN
ejpam-3157	231	14	,	,	PUNCT
ejpam-3157	231	15	which	which	PRON
ejpam-3157	231	16	extends	extend	VERB
ejpam-3157	231	17	over	over	ADP
ejpam-3157	231	18	a	a	DET
ejpam-3157	231	19	depth	depth	NOUN
ejpam-3157	231	20	of	of	ADP
ejpam-3157	231	21	60	60	NUM
ejpam-3157	231	22	cm	cm	NOUN
ejpam-3157	231	23	,	,	PUNCT
ejpam-3157	231	24	remains	remain	VERB
ejpam-3157	231	25	sensitive	sensitive	ADJ
ejpam-3157	231	26	to	to	ADP
ejpam-3157	231	27	climatic	climatic	ADJ
ejpam-3157	231	28	variations	variation	NOUN
ejpam-3157	231	29	recorded	record	VERB
ejpam-3157	231	30	at	at	ADP
ejpam-3157	231	31	the	the	DET
ejpam-3157	231	32	surface	surface	NOUN
ejpam-3157	231	33	.	.	PUNCT
ejpam-3157	232	1	since	since	SCONJ
ejpam-3157	232	2	the	the	DET
ejpam-3157	232	3	data	datum	NOUN
ejpam-3157	232	4	are	be	AUX
ejpam-3157	232	5	not	not	PART
ejpam-3157	232	6	available	available	ADJ
ejpam-3157	232	7	at	at	ADP
ejpam-3157	232	8	60	60	NUM
ejpam-3157	232	9	cm	cm	NOUN
ejpam-3157	232	10	in	in	ADP
ejpam-3157	232	11	the	the	DET
ejpam-3157	232	12	soil	soil	NOUN
ejpam-3157	232	13	,	,	PUNCT
ejpam-3157	232	14	the	the	DET
ejpam-3157	232	15	temperature	temperature	NOUN
ejpam-3157	232	16	was	be	AUX
ejpam-3157	232	17	estimated	estimate	VERB
ejpam-3157	232	18	at	at	ADP
ejpam-3157	232	19	60	60	NUM
ejpam-3157	232	20	cm	cm	NOUN
ejpam-3157	232	21	according	accord	VERB
ejpam-3157	232	22	to	to	ADP
ejpam-3157	232	23	the	the	DET
ejpam-3157	232	24	variation	variation	NOUN
ejpam-3157	232	25	of	of	ADP
ejpam-3157	232	26	the	the	DET
ejpam-3157	232	27	thermal	thermal	ADJ
ejpam-3157	232	28	gradient	gradient	NOUN
ejpam-3157	232	29	observed	observe	VERB
ejpam-3157	232	30	in	in	ADP
ejpam-3157	232	31	the	the	DET
ejpam-3157	232	32	soil	soil	NOUN
ejpam-3157	232	33	.	.	PUNCT
ejpam-3157	233	1	moreover	moreover	ADV
ejpam-3157	233	2	,	,	PUNCT
ejpam-3157	233	3	after	after	SCONJ
ejpam-3157	233	4	this	this	DET
ejpam-3157	233	5	temperature	temperature	NOUN
ejpam-3157	233	6	has	have	AUX
ejpam-3157	233	7	been	be	AUX
ejpam-3157	233	8	fixed	fix	VERB
ejpam-3157	233	9	during	during	ADP
ejpam-3157	233	10	the	the	DET
ejpam-3157	233	11	whole	whole	ADJ
ejpam-3157	233	12	experiment	experiment	NOUN
ejpam-3157	233	13	(	(	PUNCT
ejpam-3157	233	14	this	this	DET
ejpam-3157	233	15	hypothesis	hypothesis	NOUN
ejpam-3157	233	16	is	be	AUX
ejpam-3157	233	17	proved	prove	VERB
ejpam-3157	233	18	by	by	ADP
ejpam-3157	233	19	a	a	DET
ejpam-3157	233	20	previous	previous	ADJ
ejpam-3157	233	21	study	study	NOUN
ejpam-3157	233	22	,	,	PUNCT
ejpam-3157	233	23	the	the	DET
ejpam-3157	233	24	results	result	NOUN
ejpam-3157	233	25	are	be	AUX
ejpam-3157	233	26	in	in	ADP
ejpam-3157	233	27	fig	fig	NOUN
ejpam-3157	233	28	1	1	NUM
ejpam-3157	233	29	)	)	PUNCT
ejpam-3157	233	30	.	.	PUNCT
ejpam-3157	234	1	a.	a.	PROPN
ejpam-3157	234	2	allahem	allahem	PROPN
ejpam-3157	234	3	,	,	PUNCT
ejpam-3157	234	4	s.boulaaras	s.boulaara	NOUN
ejpam-3157	234	5	,	,	PUNCT
ejpam-3157	234	6	k.	k.	PROPN
ejpam-3157	234	7	zennir	zennir	PROPN
ejpam-3157	234	8	and	and	CCONJ
ejpam-3157	234	9	m.	m.	PROPN
ejpam-3157	234	10	haiour	haiour	PROPN
ejpam-3157	234	11	/	/	SYM
ejpam-3157	234	12	eur	eur	PROPN
ejpam-3157	234	13	.	.	PUNCT
ejpam-3157	235	1	j.	j.	PROPN
ejpam-3157	235	2	pure	pure	PROPN
ejpam-3157	235	3	appl	appl	PROPN
ejpam-3157	235	4	.	.	PROPN
ejpam-3157	235	5	math	math	PROPN
ejpam-3157	235	6	,	,	PUNCT
ejpam-3157	235	7	11	11	NUM
ejpam-3157	235	8	(	(	PUNCT
ejpam-3157	235	9	1	1	NUM
ejpam-3157	235	10	)	)	PUNCT
ejpam-3157	235	11	(	(	PUNCT
ejpam-3157	235	12	2018	2018	NUM
ejpam-3157	235	13	)	)	PUNCT
ejpam-3157	235	14	,	,	PUNCT
ejpam-3157	235	15	110	110	NUM
ejpam-3157	235	16	-	-	SYM
ejpam-3157	235	17	137	137	NUM
ejpam-3157	235	18	124	124	NUM
ejpam-3157	235	19	note	note	NOUN
ejpam-3157	235	20	that	that	SCONJ
ejpam-3157	235	21	the	the	DET
ejpam-3157	235	22	temperature	temperature	NOUN
ejpam-3157	235	23	at	at	ADP
ejpam-3157	235	24	60	60	NUM
ejpam-3157	235	25	cm	cm	NOUN
ejpam-3157	235	26	remains	remain	VERB
ejpam-3157	235	27	virtuality	virtuality	NOUN
ejpam-3157	235	28	constant	constant	ADJ
ejpam-3157	235	29	during	during	ADP
ejpam-3157	235	30	the	the	DET
ejpam-3157	235	31	24	24	NUM
ejpam-3157	235	32	hours	hour	NOUN
ejpam-3157	235	33	.	.	PUNCT
ejpam-3157	236	1	3	3	X
ejpam-3157	236	2	-	-	PUNCT
ejpam-3157	236	3	taking	take	VERB
ejpam-3157	236	4	∆t	∆t	NOUN
ejpam-3157	236	5	=	=	SYM
ejpam-3157	236	6	10	10	NUM
ejpam-3157	236	7	min	min	NOUN
ejpam-3157	236	8	and	and	CCONJ
ejpam-3157	236	9	h	h	NOUN
ejpam-3157	236	10	=	=	NOUN
ejpam-3157	236	11	maxhj	maxhj	NOUN
ejpam-3157	236	12	=	=	NOUN
ejpam-3157	236	13	20	20	NUM
ejpam-3157	236	14	cm	cm	NOUN
ejpam-3157	236	15	.	.	PUNCT
ejpam-3157	237	1	4	4	NUM
ejpam-3157	237	2	-	-	X
ejpam-3157	237	3	we	we	PRON
ejpam-3157	237	4	can	can	AUX
ejpam-3157	237	5	turn	turn	VERB
ejpam-3157	237	6	the	the	DET
ejpam-3157	237	7	model	model	NOUN
ejpam-3157	237	8	every	every	DET
ejpam-3157	237	9	10	10	NUM
ejpam-3157	237	10	minutes	minute	NOUN
ejpam-3157	237	11	until	until	ADP
ejpam-3157	237	12	while	while	SCONJ
ejpam-3157	237	13	displaying	display	VERB
ejpam-3157	237	14	every	every	DET
ejpam-3157	237	15	12	12	NUM
ejpam-3157	237	16	hours	hour	NOUN
ejpam-3157	237	17	the	the	DET
ejpam-3157	237	18	results	result	NOUN
ejpam-3157	237	19	obtained	obtain	VERB
ejpam-3157	237	20	and	and	CCONJ
ejpam-3157	237	21	compared	compare	VERB
ejpam-3157	237	22	with	with	ADP
ejpam-3157	237	23	the	the	DET
ejpam-3157	237	24	actual	actual	ADJ
ejpam-3157	237	25	data	datum	NOUN
ejpam-3157	237	26	to	to	PART
ejpam-3157	237	27	evaluate	evaluate	VERB
ejpam-3157	237	28	the	the	DET
ejpam-3157	237	29	mean	mean	ADJ
ejpam-3157	237	30	squared	square	VERB
ejpam-3157	237	31	error	error	NOUN
ejpam-3157	237	32	.	.	PUNCT
ejpam-3157	238	1	eqm	eqm	NOUN
ejpam-3157	238	2	=	=	SYM
ejpam-3157	238	3	n	n	CCONJ
ejpam-3157	238	4	=	=	PROPN
ejpam-3157	238	5	n∑	n∑	NOUN
ejpam-3157	238	6	n=1	n=1	PROPN
ejpam-3157	238	7	√	√	ADV
ejpam-3157	238	8	1	1	NUM
ejpam-3157	238	9	n	n	CCONJ
ejpam-3157	238	10	(	(	PUNCT
ejpam-3157	238	11	texpected	texpecte	VERB
ejpam-3157	238	12	−	−	PROPN
ejpam-3157	238	13	treal)2	treal)2	ADP
ejpam-3157	238	14	6the	6the	PRON
ejpam-3157	238	15	calculations	calculation	NOUN
ejpam-3157	238	16	can	can	AUX
ejpam-3157	238	17	be	be	AUX
ejpam-3157	238	18	done	do	VERB
ejpam-3157	238	19	with	with	ADP
ejpam-3157	238	20	two	two	NUM
ejpam-3157	238	21	methods	method	NOUN
ejpam-3157	238	22	:	:	PUNCT
ejpam-3157	238	23	the	the	DET
ejpam-3157	238	24	first	first	ADJ
ejpam-3157	238	25	with	with	ADP
ejpam-3157	238	26	initialization	initialization	NOUN
ejpam-3157	238	27	,	,	PUNCT
ejpam-3157	238	28	where	where	SCONJ
ejpam-3157	238	29	we	we	PRON
ejpam-3157	238	30	can	can	AUX
ejpam-3157	238	31	turn	turn	VERB
ejpam-3157	238	32	the	the	DET
ejpam-3157	238	33	model	model	NOUN
ejpam-3157	238	34	and	and	CCONJ
ejpam-3157	238	35	initialize	initialize	VERB
ejpam-3157	238	36	the	the	DET
ejpam-3157	238	37	data	datum	NOUN
ejpam-3157	238	38	at	at	ADP
ejpam-3157	238	39	6h	6h	PROPN
ejpam-3157	238	40	,	,	PUNCT
ejpam-3157	238	41	12h	12h	NUM
ejpam-3157	238	42	and	and	CCONJ
ejpam-3157	238	43	18h	18h	NOUN
ejpam-3157	238	44	and	and	CCONJ
ejpam-3157	238	45	the	the	DET
ejpam-3157	238	46	second	second	NOUN
ejpam-3157	238	47	is	be	AUX
ejpam-3157	238	48	without	without	ADP
ejpam-3157	238	49	initialization	initialization	NOUN
ejpam-3157	238	50	:	:	PUNCT
ejpam-3157	238	51	the	the	DET
ejpam-3157	238	52	model	model	NOUN
ejpam-3157	238	53	is	be	AUX
ejpam-3157	238	54	rotated	rotate	VERB
ejpam-3157	238	55	during	during	ADP
ejpam-3157	238	56	the	the	DET
ejpam-3157	238	57	entire	entire	ADJ
ejpam-3157	238	58	deadline	deadline	NOUN
ejpam-3157	238	59	without	without	ADP
ejpam-3157	238	60	resetting	reset	VERB
ejpam-3157	238	61	the	the	DET
ejpam-3157	238	62	data	datum	NOUN
ejpam-3157	238	63	.	.	PUNCT
ejpam-3157	239	1	4.3	4.3	NUM
ejpam-3157	239	2	.	.	PUNCT
ejpam-3157	239	3	virtual	virtual	ADJ
ejpam-3157	239	4	experience	experience	NOUN
ejpam-3157	239	5	the	the	DET
ejpam-3157	239	6	code	code	NOUN
ejpam-3157	239	7	used	use	VERB
ejpam-3157	239	8	in	in	ADP
ejpam-3157	239	9	this	this	DET
ejpam-3157	239	10	work	work	NOUN
ejpam-3157	239	11	is	be	AUX
ejpam-3157	239	12	based	base	VERB
ejpam-3157	239	13	on	on	ADP
ejpam-3157	239	14	the	the	DET
ejpam-3157	239	15	finite	finite	ADJ
ejpam-3157	239	16	element	element	NOUN
ejpam-3157	239	17	technique	technique	NOUN
ejpam-3157	239	18	to	to	PART
ejpam-3157	239	19	predict	predict	VERB
ejpam-3157	239	20	the	the	DET
ejpam-3157	239	21	ground	ground	NOUN
ejpam-3157	239	22	temperature	temperature	NOUN
ejpam-3157	239	23	at	at	ADP
ejpam-3157	239	24	different	different	ADJ
ejpam-3157	239	25	levels	level	NOUN
ejpam-3157	239	26	and	and	CCONJ
ejpam-3157	239	27	for	for	ADP
ejpam-3157	239	28	different	different	ADJ
ejpam-3157	239	29	integration	integration	NOUN
ejpam-3157	239	30	deadlines	deadline	NOUN
ejpam-3157	239	31	.	.	PUNCT
ejpam-3157	240	1	for	for	ADP
ejpam-3157	240	2	that	that	PRON
ejpam-3157	240	3	,	,	PUNCT
ejpam-3157	240	4	we	we	PRON
ejpam-3157	240	5	realized	realize	VERB
ejpam-3157	240	6	two	two	NUM
ejpam-3157	240	7	simulations	simulation	NOUN
ejpam-3157	240	8	.	.	PUNCT
ejpam-3157	241	1	the	the	DET
ejpam-3157	241	2	first	first	ADJ
ejpam-3157	241	3	is	be	AUX
ejpam-3157	241	4	to	to	PART
ejpam-3157	241	5	start	start	VERB
ejpam-3157	241	6	the	the	DET
ejpam-3157	241	7	calculation	calculation	NOUN
ejpam-3157	241	8	without	without	ADP
ejpam-3157	241	9	initialization	initialization	NOUN
ejpam-3157	241	10	and	and	CCONJ
ejpam-3157	241	11	retrieve	retrieve	VERB
ejpam-3157	241	12	the	the	DET
ejpam-3157	241	13	forecasts	forecast	NOUN
ejpam-3157	241	14	at	at	ADP
ejpam-3157	241	15	different	different	ADJ
ejpam-3157	241	16	times	time	NOUN
ejpam-3157	241	17	,	,	PUNCT
ejpam-3157	241	18	while	while	SCONJ
ejpam-3157	241	19	for	for	ADP
ejpam-3157	241	20	the	the	DET
ejpam-3157	241	21	second	second	ADJ
ejpam-3157	241	22	,	,	PUNCT
ejpam-3157	241	23	the	the	DET
ejpam-3157	241	24	calculation	calculation	NOUN
ejpam-3157	241	25	is	be	AUX
ejpam-3157	241	26	done	do	VERB
ejpam-3157	241	27	with	with	ADP
ejpam-3157	241	28	initialization	initialization	NOUN
ejpam-3157	241	29	every	every	DET
ejpam-3157	241	30	twelve	twelve	NUM
ejpam-3157	241	31	hours	hour	NOUN
ejpam-3157	241	32	.	.	PUNCT
ejpam-3157	242	1	we	we	PRON
ejpam-3157	242	2	compared	compare	VERB
ejpam-3157	242	3	the	the	DET
ejpam-3157	242	4	distribution	distribution	NOUN
ejpam-3157	242	5	of	of	ADP
ejpam-3157	242	6	observed	observed	ADJ
ejpam-3157	242	7	and	and	CCONJ
ejpam-3157	242	8	simulated	simulated	ADJ
ejpam-3157	242	9	temperatures	temperature	NOUN
ejpam-3157	242	10	.	.	PUNCT
ejpam-3157	243	1	we	we	PRON
ejpam-3157	243	2	have	have	AUX
ejpam-3157	243	3	also	also	ADV
ejpam-3157	243	4	calculated	calculate	VERB
ejpam-3157	243	5	for	for	ADP
ejpam-3157	243	6	each	each	DET
ejpam-3157	243	7	deadline	deadline	NOUN
ejpam-3157	243	8	the	the	DET
ejpam-3157	243	9	quadratic	quadratic	ADJ
ejpam-3157	243	10	error	error	NOUN
ejpam-3157	243	11	and	and	CCONJ
ejpam-3157	243	12	then	then	ADV
ejpam-3157	243	13	the	the	DET
ejpam-3157	243	14	mean	mean	ADJ
ejpam-3157	243	15	squared	square	VERB
ejpam-3157	243	16	error	error	NOUN
ejpam-3157	243	17	for	for	ADP
ejpam-3157	243	18	the	the	DET
ejpam-3157	243	19	whole	whole	ADJ
ejpam-3157	243	20	simulation	simulation	NOUN
ejpam-3157	243	21	and	and	CCONJ
ejpam-3157	243	22	the	the	DET
ejpam-3157	243	23	results	result	NOUN
ejpam-3157	243	24	of	of	ADP
ejpam-3157	243	25	the	the	DET
ejpam-3157	243	26	two	two	NUM
ejpam-3157	243	27	simulations	simulation	NOUN
ejpam-3157	243	28	are	be	AUX
ejpam-3157	243	29	as	as	SCONJ
ejpam-3157	243	30	follows	follow	VERB
ejpam-3157	243	31	:	:	PUNCT
ejpam-3157	243	32	4.3.1	4.3.1	X
ejpam-3157	243	33	.	.	NOUN
ejpam-3157	243	34	without	without	ADP
ejpam-3157	243	35	initialization	initialization	NOUN
ejpam-3157	243	36	according	accord	VERB
ejpam-3157	243	37	to	to	ADP
ejpam-3157	243	38	the	the	DET
ejpam-3157	243	39	results	result	NOUN
ejpam-3157	243	40	of	of	ADP
ejpam-3157	243	41	fig	fig	NOUN
ejpam-3157	243	42	2	2	NUM
ejpam-3157	243	43	,	,	PUNCT
ejpam-3157	243	44	we	we	PRON
ejpam-3157	243	45	note	note	VERB
ejpam-3157	243	46	that	that	SCONJ
ejpam-3157	243	47	the	the	DET
ejpam-3157	243	48	model	model	NOUN
ejpam-3157	243	49	is	be	AUX
ejpam-3157	243	50	in	in	ADP
ejpam-3157	243	51	good	good	ADJ
ejpam-3157	243	52	agreement	agreement	NOUN
ejpam-3157	243	53	with	with	ADP
ejpam-3157	243	54	the	the	DET
ejpam-3157	243	55	observations	observation	NOUN
ejpam-3157	243	56	for	for	ADP
ejpam-3157	243	57	shallow	shallow	ADJ
ejpam-3157	243	58	depths	depth	NOUN
ejpam-3157	243	59	for	for	ADP
ejpam-3157	243	60	which	which	PRON
ejpam-3157	243	61	it	it	PRON
ejpam-3157	243	62	gives	give	VERB
ejpam-3157	243	63	fairly	fairly	ADV
ejpam-3157	243	64	virtual	virtual	ADJ
ejpam-3157	243	65	temperatures	temperature	NOUN
ejpam-3157	243	66	,	,	PUNCT
ejpam-3157	243	67	but	but	CCONJ
ejpam-3157	243	68	differences	difference	NOUN
ejpam-3157	243	69	despite	despite	SCONJ
ejpam-3157	243	70	which	which	PRON
ejpam-3157	243	71	are	be	AUX
ejpam-3157	243	72	weak	weak	ADJ
ejpam-3157	243	73	begin	begin	NOUN
ejpam-3157	243	74	to	to	PART
ejpam-3157	243	75	appear	appear	VERB
ejpam-3157	243	76	when	when	SCONJ
ejpam-3157	243	77	the	the	DET
ejpam-3157	243	78	depth	depth	NOUN
ejpam-3157	243	79	increases	increase	NOUN
ejpam-3157	243	80	,	,	PUNCT
ejpam-3157	243	81	it	it	PRON
ejpam-3157	243	82	is	be	AUX
ejpam-3157	243	83	reported	report	VERB
ejpam-3157	243	84	that	that	SCONJ
ejpam-3157	243	85	the	the	DET
ejpam-3157	243	86	model	model	NOUN
ejpam-3157	243	87	returns	return	VERB
ejpam-3157	243	88	exactly	exactly	ADV
ejpam-3157	243	89	the	the	DET
ejpam-3157	243	90	same	same	ADJ
ejpam-3157	243	91	temperature	temperature	NOUN
ejpam-3157	243	92	for	for	ADP
ejpam-3157	243	93	the	the	DET
ejpam-3157	243	94	depth	depth	NOUN
ejpam-3157	243	95	of	of	ADP
ejpam-3157	243	96	25	25	NUM
ejpam-3157	243	97	cm	cm	NOUN
ejpam-3157	243	98	.	.	PUNCT
ejpam-3157	244	1	according	accord	VERB
ejpam-3157	244	2	to	to	ADP
ejpam-3157	244	3	the	the	DET
ejpam-3157	244	4	results	result	NOUN
ejpam-3157	244	5	of	of	ADP
ejpam-3157	244	6	fig	fig	NOUN
ejpam-3157	244	7	3	3	NUM
ejpam-3157	244	8	,	,	PUNCT
ejpam-3157	244	9	we	we	PRON
ejpam-3157	244	10	note	note	VERB
ejpam-3157	244	11	that	that	SCONJ
ejpam-3157	244	12	the	the	DET
ejpam-3157	244	13	model	model	NOUN
ejpam-3157	244	14	always	always	ADV
ejpam-3157	244	15	starts	start	VERB
ejpam-3157	244	16	with	with	ADP
ejpam-3157	244	17	a	a	DET
ejpam-3157	244	18	very	very	ADV
ejpam-3157	244	19	good	good	ADJ
ejpam-3157	244	20	behavior	behavior	NOUN
ejpam-3157	244	21	for	for	ADP
ejpam-3157	244	22	the	the	DET
ejpam-3157	244	23	shallow	shallow	ADJ
ejpam-3157	244	24	depths	depth	NOUN
ejpam-3157	244	25	and	and	CCONJ
ejpam-3157	244	26	is	be	AUX
ejpam-3157	244	27	able	able	ADJ
ejpam-3157	244	28	to	to	PART
ejpam-3157	244	29	calculate	calculate	VERB
ejpam-3157	244	30	the	the	DET
ejpam-3157	244	31	same	same	ADJ
ejpam-3157	244	32	temperature	temperature	NOUN
ejpam-3157	244	33	as	as	SCONJ
ejpam-3157	244	34	that	that	PRON
ejpam-3157	244	35	measured	measure	VERB
ejpam-3157	244	36	for	for	ADP
ejpam-3157	244	37	an	an	DET
ejpam-3157	244	38	interval	interval	NOUN
ejpam-3157	244	39	between	between	ADP
ejpam-3157	244	40	25	25	NUM
ejpam-3157	244	41	and	and	CCONJ
ejpam-3157	244	42	30	30	NUM
ejpam-3157	244	43	cm	cm	NOUN
ejpam-3157	244	44	.	.	PUNCT
ejpam-3157	245	1	according	accord	VERB
ejpam-3157	245	2	to	to	ADP
ejpam-3157	245	3	the	the	DET
ejpam-3157	245	4	results	result	NOUN
ejpam-3157	245	5	in	in	ADP
ejpam-3157	245	6	the	the	DET
ejpam-3157	245	7	figures	figure	NOUN
ejpam-3157	245	8	2	2	NUM
ejpam-3157	245	9	until	until	ADP
ejpam-3157	245	10	8	8	NUM
ejpam-3157	245	11	,	,	PUNCT
ejpam-3157	245	12	we	we	PRON
ejpam-3157	245	13	note	note	VERB
ejpam-3157	245	14	for	for	ADP
ejpam-3157	245	15	deadlines	deadline	NOUN
ejpam-3157	245	16	that	that	PRON
ejpam-3157	245	17	are	be	AUX
ejpam-3157	245	18	too	too	ADV
ejpam-3157	245	19	high	high	ADJ
ejpam-3157	245	20	,	,	PUNCT
ejpam-3157	245	21	namely	namely	ADV
ejpam-3157	245	22	36	36	NUM
ejpam-3157	245	23	hours	hour	NOUN
ejpam-3157	245	24	,	,	PUNCT
ejpam-3157	245	25	48	48	NUM
ejpam-3157	245	26	hours	hour	NOUN
ejpam-3157	245	27	and	and	CCONJ
ejpam-3157	245	28	60	60	NUM
ejpam-3157	245	29	hours	hour	NOUN
ejpam-3157	245	30	,	,	PUNCT
ejpam-3157	245	31	we	we	PRON
ejpam-3157	245	32	notice	notice	VERB
ejpam-3157	245	33	that	that	SCONJ
ejpam-3157	245	34	there	there	PRON
ejpam-3157	245	35	is	be	VERB
ejpam-3157	245	36	not	not	PART
ejpam-3157	245	37	a	a	DET
ejpam-3157	245	38	very	very	ADV
ejpam-3157	245	39	good	good	ADJ
ejpam-3157	245	40	agreement	agreement	NOUN
ejpam-3157	245	41	between	between	ADP
ejpam-3157	245	42	the	the	DET
ejpam-3157	245	43	expected	expect	VERB
ejpam-3157	245	44	temperatures	temperature	NOUN
ejpam-3157	245	45	and	and	CCONJ
ejpam-3157	245	46	those	those	PRON
ejpam-3157	245	47	observed	observe	VERB
ejpam-3157	245	48	for	for	ADP
ejpam-3157	245	49	the	the	DET
ejpam-3157	245	50	different	different	ADJ
ejpam-3157	245	51	depths	depth	NOUN
ejpam-3157	245	52	.	.	PUNCT
ejpam-3157	246	1	the	the	DET
ejpam-3157	246	2	figures	figure	NOUN
ejpam-3157	246	3	show	show	VERB
ejpam-3157	246	4	that	that	SCONJ
ejpam-3157	246	5	the	the	DET
ejpam-3157	246	6	model	model	NOUN
ejpam-3157	246	7	slightly	slightly	ADV
ejpam-3157	246	8	overestimates	overestimate	VERB
ejpam-3157	246	9	the	the	DET
ejpam-3157	246	10	temperature	temperature	NOUN
ejpam-3157	246	11	for	for	ADP
ejpam-3157	246	12	shallow	shallow	ADJ
ejpam-3157	246	13	depths	depth	NOUN
ejpam-3157	246	14	and	and	CCONJ
ejpam-3157	246	15	underestimates	underestimate	VERB
ejpam-3157	246	16	them	they	PRON
ejpam-3157	246	17	for	for	ADP
ejpam-3157	246	18	significant	significant	ADJ
ejpam-3157	246	19	depths	depth	NOUN
ejpam-3157	246	20	.	.	PUNCT
ejpam-3157	247	1	it	it	PRON
ejpam-3157	247	2	arrives	arrive	VERB
ejpam-3157	247	3	at	at	ADP
ejpam-3157	247	4	a	a	DET
ejpam-3157	247	5	good	good	ADJ
ejpam-3157	247	6	forecast	forecast	NOUN
ejpam-3157	247	7	for	for	ADP
ejpam-3157	247	8	an	an	DET
ejpam-3157	247	9	average	average	ADJ
ejpam-3157	247	10	depth	depth	NOUN
ejpam-3157	247	11	between	between	ADP
ejpam-3157	247	12	25	25	NUM
ejpam-3157	247	13	and	and	CCONJ
ejpam-3157	247	14	30	30	NUM
ejpam-3157	247	15	cm	cm	NUM
ejpam-3157	247	16	,	,	PUNCT
ejpam-3157	247	17	but	but	CCONJ
ejpam-3157	247	18	remains	remain	VERB
ejpam-3157	247	19	close	close	ADJ
ejpam-3157	247	20	to	to	ADP
ejpam-3157	247	21	observations	observation	NOUN
ejpam-3157	247	22	and	and	CCONJ
ejpam-3157	247	23	for	for	ADP
ejpam-3157	247	24	72	72	NUM
ejpam-3157	247	25	hours	hour	NOUN
ejpam-3157	247	26	,	,	PUNCT
ejpam-3157	247	27	84	84	NUM
ejpam-3157	247	28	hours	hour	NOUN
ejpam-3157	247	29	and	and	CCONJ
ejpam-3157	247	30	96	96	NUM
ejpam-3157	247	31	hours	hour	NOUN
ejpam-3157	247	32	,	,	PUNCT
ejpam-3157	247	33	the	the	DET
ejpam-3157	247	34	comparison	comparison	NOUN
ejpam-3157	247	35	between	between	ADP
ejpam-3157	247	36	the	the	DET
ejpam-3157	247	37	results	result	NOUN
ejpam-3157	247	38	of	of	ADP
ejpam-3157	247	39	the	the	DET
ejpam-3157	247	40	simulation	simulation	NOUN
ejpam-3157	247	41	and	and	CCONJ
ejpam-3157	247	42	the	the	DET
ejpam-3157	247	43	observed	observed	ADJ
ejpam-3157	247	44	data	data	NOUN
ejpam-3157	247	45	shows	show	VERB
ejpam-3157	247	46	that	that	SCONJ
ejpam-3157	247	47	the	the	DET
ejpam-3157	247	48	temperatures	temperature	NOUN
ejpam-3157	247	49	are	be	AUX
ejpam-3157	247	50	not	not	PART
ejpam-3157	247	51	very	very	ADV
ejpam-3157	247	52	well	well	ADV
ejpam-3157	247	53	reproduced	reproduce	VERB
ejpam-3157	247	54	but	but	CCONJ
ejpam-3157	247	55	remains	remain	VERB
ejpam-3157	247	56	close	close	ADJ
ejpam-3157	247	57	to	to	ADP
ejpam-3157	247	58	the	the	DET
ejpam-3157	247	59	measurements	measurement	NOUN
ejpam-3157	247	60	in	in	ADP
ejpam-3157	247	61	the	the	DET
ejpam-3157	247	62	limit	limit	NOUN
ejpam-3157	247	63	where	where	SCONJ
ejpam-3157	247	64	the	the	DET
ejpam-3157	247	65	difference	difference	NOUN
ejpam-3157	247	66	between	between	ADP
ejpam-3157	247	67	the	the	DET
ejpam-3157	247	68	two	two	NUM
ejpam-3157	247	69	temperatures	temperature	NOUN
ejpam-3157	247	70	do	do	AUX
ejpam-3157	247	71	not	not	PART
ejpam-3157	247	72	exceed	exceed	VERB
ejpam-3157	247	73	0.6	0.6	NUM
ejpam-3157	247	74	◦	◦	NOUN
ejpam-3157	247	75	c.	c.	NOUN
ejpam-3157	247	76	according	accord	VERB
ejpam-3157	247	77	to	to	ADP
ejpam-3157	247	78	the	the	DET
ejpam-3157	247	79	results	result	NOUN
ejpam-3157	247	80	of	of	ADP
ejpam-3157	247	81	fig	fig	NOUN
ejpam-3157	247	82	9	9	NUM
ejpam-3157	247	83	,	,	PUNCT
ejpam-3157	247	84	from	from	ADP
ejpam-3157	247	85	a	a	DET
ejpam-3157	247	86	statistical	statistical	ADJ
ejpam-3157	247	87	point	point	NOUN
ejpam-3157	247	88	of	of	ADP
ejpam-3157	247	89	view	view	NOUN
ejpam-3157	247	90	,	,	PUNCT
ejpam-3157	247	91	the	the	DET
ejpam-3157	247	92	calculation	calculation	NOUN
ejpam-3157	247	93	of	of	ADP
ejpam-3157	247	94	the	the	DET
ejpam-3157	247	95	quadratic	quadratic	ADJ
ejpam-3157	247	96	error	error	NOUN
ejpam-3157	247	97	allows	allow	VERB
ejpam-3157	247	98	a	a	DET
ejpam-3157	247	99	more	more	ADV
ejpam-3157	247	100	detailed	detailed	ADJ
ejpam-3157	247	101	view	view	NOUN
ejpam-3157	247	102	of	of	ADP
ejpam-3157	247	103	the	the	DET
ejpam-3157	247	104	behavior	behavior	NOUN
ejpam-3157	247	105	of	of	ADP
ejpam-3157	247	106	the	the	DET
ejpam-3157	247	107	model	model	NOUN
ejpam-3157	247	108	.	.	PUNCT
ejpam-3157	248	1	it	it	PRON
ejpam-3157	248	2	is	be	AUX
ejpam-3157	248	3	clear	clear	ADJ
ejpam-3157	248	4	that	that	SCONJ
ejpam-3157	248	5	the	the	DET
ejpam-3157	248	6	smallest	small	ADJ
ejpam-3157	248	7	errors	error	NOUN
ejpam-3157	248	8	were	be	AUX
ejpam-3157	248	9	observed	observe	VERB
ejpam-3157	248	10	for	for	ADP
ejpam-3157	248	11	the	the	DET
ejpam-3157	248	12	lowest	low	ADJ
ejpam-3157	248	13	deadlines	deadline	NOUN
ejpam-3157	248	14	this	this	PRON
ejpam-3157	248	15	is	be	AUX
ejpam-3157	248	16	logical	logical	ADJ
ejpam-3157	248	17	as	as	ADP
ejpam-3157	248	18	the	the	DET
ejpam-3157	248	19	model	model	NOUN
ejpam-3157	248	20	a.	a.	PROPN
ejpam-3157	248	21	allahem	allahem	PROPN
ejpam-3157	248	22	,	,	PUNCT
ejpam-3157	248	23	s.boulaaras	s.boulaara	NOUN
ejpam-3157	248	24	,	,	PUNCT
ejpam-3157	248	25	k.	k.	PROPN
ejpam-3157	248	26	zennir	zennir	PROPN
ejpam-3157	248	27	and	and	CCONJ
ejpam-3157	248	28	m.	m.	PROPN
ejpam-3157	248	29	haiour	haiour	PROPN
ejpam-3157	248	30	/	/	SYM
ejpam-3157	248	31	eur	eur	PROPN
ejpam-3157	248	32	.	.	PUNCT
ejpam-3157	249	1	j.	j.	PROPN
ejpam-3157	249	2	pure	pure	PROPN
ejpam-3157	249	3	appl	appl	PROPN
ejpam-3157	249	4	.	.	PROPN
ejpam-3157	249	5	math	math	PROPN
ejpam-3157	249	6	,	,	PUNCT
ejpam-3157	249	7	11	11	NUM
ejpam-3157	249	8	(	(	PUNCT
ejpam-3157	249	9	1	1	NUM
ejpam-3157	249	10	)	)	PUNCT
ejpam-3157	249	11	(	(	PUNCT
ejpam-3157	249	12	2018	2018	NUM
ejpam-3157	249	13	)	)	PUNCT
ejpam-3157	249	14	,	,	PUNCT
ejpam-3157	249	15	110	110	NUM
ejpam-3157	249	16	-	-	SYM
ejpam-3157	249	17	137	137	NUM
ejpam-3157	249	18	125	125	NUM
ejpam-3157	249	19	starts	start	NOUN
ejpam-3157	249	20	to	to	PART
ejpam-3157	249	21	move	move	VERB
ejpam-3157	249	22	away	away	ADV
ejpam-3157	249	23	from	from	ADP
ejpam-3157	249	24	the	the	DET
ejpam-3157	249	25	value	value	NOUN
ejpam-3157	249	26	when	when	SCONJ
ejpam-3157	249	27	the	the	DET
ejpam-3157	249	28	maturities	maturity	NOUN
ejpam-3157	249	29	increase	increase	VERB
ejpam-3157	249	30	,	,	PUNCT
ejpam-3157	249	31	but	but	CCONJ
ejpam-3157	249	32	for	for	ADP
ejpam-3157	249	33	our	our	PRON
ejpam-3157	249	34	case	case	NOUN
ejpam-3157	249	35	we	we	PRON
ejpam-3157	249	36	notice	notice	VERB
ejpam-3157	249	37	that	that	SCONJ
ejpam-3157	249	38	the	the	DET
ejpam-3157	249	39	model	model	NOUN
ejpam-3157	249	40	returns	return	VERB
ejpam-3157	249	41	at	at	ADP
ejpam-3157	249	42	a	a	DET
ejpam-3157	249	43	fairly	fairly	ADV
ejpam-3157	249	44	good	good	ADJ
ejpam-3157	249	45	estimate	estimate	NOUN
ejpam-3157	249	46	for	for	ADP
ejpam-3157	249	47	the	the	DET
ejpam-3157	249	48	deadlines	deadline	NOUN
ejpam-3157	249	49	of	of	ADP
ejpam-3157	249	50	84	84	NUM
ejpam-3157	249	51	,	,	PUNCT
ejpam-3157	249	52	96	96	NUM
ejpam-3157	249	53	and	and	CCONJ
ejpam-3157	249	54	108	108	NUM
ejpam-3157	249	55	hours	hour	NOUN
ejpam-3157	249	56	.	.	PUNCT
ejpam-3157	250	1	we	we	PRON
ejpam-3157	250	2	note	note	VERB
ejpam-3157	250	3	that	that	SCONJ
ejpam-3157	250	4	the	the	DET
ejpam-3157	250	5	lowest	low	ADJ
ejpam-3157	250	6	error	error	NOUN
ejpam-3157	250	7	(	(	PUNCT
ejpam-3157	250	8	0.19	0.19	NUM
ejpam-3157	250	9	)	)	PUNCT
ejpam-3157	250	10	corresponds	correspond	VERB
ejpam-3157	250	11	to	to	ADP
ejpam-3157	250	12	the	the	DET
ejpam-3157	250	13	best	good	ADJ
ejpam-3157	250	14	behavior	behavior	NOUN
ejpam-3157	250	15	of	of	ADP
ejpam-3157	250	16	the	the	DET
ejpam-3157	250	17	model	model	NOUN
ejpam-3157	250	18	at	at	ADP
ejpam-3157	250	19	the	the	DET
ejpam-3157	250	20	expiry	expiry	NOUN
ejpam-3157	250	21	of	of	ADP
ejpam-3157	250	22	24	24	NUM
ejpam-3157	250	23	hours	hour	NOUN
ejpam-3157	250	24	.	.	PUNCT
ejpam-3157	251	1	4.3.2	4.3.2	X
ejpam-3157	251	2	.	.	PUNCT
ejpam-3157	252	1	with	with	ADP
ejpam-3157	252	2	initialization	initialization	NOUN
ejpam-3157	252	3	according	accord	VERB
ejpam-3157	252	4	the	the	DET
ejpam-3157	252	5	results	result	NOUN
ejpam-3157	252	6	of	of	ADP
ejpam-3157	252	7	the	the	DET
ejpam-3157	252	8	12	12	NUM
ejpam-3157	252	9	-	-	PUNCT
ejpam-3157	252	10	hours	hour	NOUN
ejpam-3157	252	11	(	(	PUNCT
ejpam-3157	252	12	see	see	VERB
ejpam-3157	252	13	fig	fig	NOUN
ejpam-3157	252	14	12	12	NUM
ejpam-3157	252	15	)	)	PUNCT
ejpam-3157	252	16	simulation	simulation	NOUN
ejpam-3157	252	17	with	with	ADP
ejpam-3157	252	18	initialization	initialization	NOUN
ejpam-3157	252	19	do	do	AUX
ejpam-3157	252	20	not	not	PART
ejpam-3157	252	21	show	show	VERB
ejpam-3157	252	22	significant	significant	ADJ
ejpam-3157	252	23	differences	difference	NOUN
ejpam-3157	252	24	between	between	ADP
ejpam-3157	252	25	the	the	DET
ejpam-3157	252	26	two	two	NUM
ejpam-3157	252	27	simulations	simulation	NOUN
ejpam-3157	252	28	,	,	PUNCT
ejpam-3157	252	29	where	where	SCONJ
ejpam-3157	252	30	we	we	PRON
ejpam-3157	252	31	find	find	VERB
ejpam-3157	252	32	the	the	DET
ejpam-3157	252	33	same	same	ADJ
ejpam-3157	252	34	behavior	behavior	NOUN
ejpam-3157	252	35	of	of	ADP
ejpam-3157	252	36	the	the	DET
ejpam-3157	252	37	model	model	NOUN
ejpam-3157	252	38	with	with	ADP
ejpam-3157	252	39	a	a	DET
ejpam-3157	252	40	slight	slight	ADJ
ejpam-3157	252	41	over	over	ADP
ejpam-3157	252	42	estimation	estimation	NOUN
ejpam-3157	252	43	for	for	ADP
ejpam-3157	252	44	shallow	shallow	ADJ
ejpam-3157	252	45	depths	depth	NOUN
ejpam-3157	252	46	and	and	CCONJ
ejpam-3157	252	47	a	a	DET
ejpam-3157	252	48	slight	slight	ADJ
ejpam-3157	252	49	underestimate	underestimate	ADJ
ejpam-3157	252	50	for	for	ADP
ejpam-3157	252	51	deeper	deep	ADJ
ejpam-3157	252	52	depths	depth	NOUN
ejpam-3157	252	53	.	.	PUNCT
ejpam-3157	253	1	this	this	PRON
ejpam-3157	253	2	can	can	AUX
ejpam-3157	253	3	be	be	AUX
ejpam-3157	253	4	verified	verify	VERB
ejpam-3157	253	5	by	by	ADP
ejpam-3157	253	6	the	the	DET
ejpam-3157	253	7	value	value	NOUN
ejpam-3157	253	8	of	of	ADP
ejpam-3157	253	9	the	the	DET
ejpam-3157	253	10	squared	square	VERB
ejpam-3157	253	11	error	error	NOUN
ejpam-3157	253	12	which	which	PRON
ejpam-3157	253	13	gives	give	VERB
ejpam-3157	253	14	exactly	exactly	ADV
ejpam-3157	253	15	the	the	DET
ejpam-3157	253	16	same	same	ADJ
ejpam-3157	253	17	value	value	NOUN
ejpam-3157	253	18	for	for	ADP
ejpam-3157	253	19	both	both	DET
ejpam-3157	253	20	simulations	simulation	NOUN
ejpam-3157	253	21	.	.	PUNCT
ejpam-3157	254	1	the	the	DET
ejpam-3157	254	2	figures	figure	NOUN
ejpam-3157	254	3	results	result	VERB
ejpam-3157	254	4	for	for	ADP
ejpam-3157	254	5	the	the	DET
ejpam-3157	254	6	24	24	NUM
ejpam-3157	254	7	h	h	NOUN
ejpam-3157	254	8	and	and	CCONJ
ejpam-3157	254	9	36	36	NUM
ejpam-3157	254	10	h	h	NOUN
ejpam-3157	254	11	(	(	PUNCT
ejpam-3157	254	12	see	see	VERB
ejpam-3157	254	13	fig	fig	NOUN
ejpam-3157	254	14	13	13	NUM
ejpam-3157	254	15	and	and	CCONJ
ejpam-3157	254	16	fig	fig	NOUN
ejpam-3157	254	17	14	14	NUM
ejpam-3157	254	18	)	)	PUNCT
ejpam-3157	254	19	maturities	maturity	NOUN
ejpam-3157	254	20	allow	allow	VERB
ejpam-3157	254	21	the	the	DET
ejpam-3157	254	22	results	result	NOUN
ejpam-3157	254	23	of	of	ADP
ejpam-3157	254	24	the	the	DET
ejpam-3157	254	25	simulation	simulation	NOUN
ejpam-3157	254	26	to	to	PART
ejpam-3157	254	27	be	be	AUX
ejpam-3157	254	28	compared	compare	VERB
ejpam-3157	254	29	to	to	ADP
ejpam-3157	254	30	the	the	DET
ejpam-3157	254	31	measurements	measurement	NOUN
ejpam-3157	254	32	taken	take	VERB
ejpam-3157	254	33	.	.	PUNCT
ejpam-3157	255	1	if	if	SCONJ
ejpam-3157	255	2	the	the	DET
ejpam-3157	255	3	model	model	NOUN
ejpam-3157	255	4	starts	start	VERB
ejpam-3157	255	5	with	with	ADP
ejpam-3157	255	6	a	a	DET
ejpam-3157	255	7	very	very	ADV
ejpam-3157	255	8	good	good	ADJ
ejpam-3157	255	9	behavior	behavior	NOUN
ejpam-3157	255	10	for	for	ADP
ejpam-3157	255	11	the	the	DET
ejpam-3157	255	12	24	24	NUM
ejpam-3157	255	13	h	h	NOUN
ejpam-3157	255	14	deadline	deadline	NOUN
ejpam-3157	255	15	,	,	PUNCT
ejpam-3157	255	16	it	it	PRON
ejpam-3157	255	17	moves	move	VERB
ejpam-3157	255	18	away	away	ADV
ejpam-3157	255	19	slightly	slightly	ADV
ejpam-3157	255	20	from	from	ADP
ejpam-3157	255	21	the	the	DET
ejpam-3157	255	22	observations	observation	NOUN
ejpam-3157	255	23	thereafter	thereafter	ADV
ejpam-3157	255	24	.	.	PUNCT
ejpam-3157	256	1	a	a	DET
ejpam-3157	256	2	distance	distance	NOUN
ejpam-3157	256	3	materialized	materialize	VERB
ejpam-3157	256	4	by	by	ADP
ejpam-3157	256	5	a	a	DET
ejpam-3157	256	6	slight	slight	ADJ
ejpam-3157	256	7	overestimation	overestimation	NOUN
ejpam-3157	256	8	of	of	ADP
ejpam-3157	256	9	the	the	DET
ejpam-3157	256	10	temperature	temperature	NOUN
ejpam-3157	256	11	.	.	PUNCT
ejpam-3157	257	1	this	this	PRON
ejpam-3157	257	2	does	do	AUX
ejpam-3157	257	3	not	not	PART
ejpam-3157	257	4	say	say	VERB
ejpam-3157	257	5	that	that	SCONJ
ejpam-3157	257	6	the	the	DET
ejpam-3157	257	7	model	model	NOUN
ejpam-3157	257	8	diverges	diverge	VERB
ejpam-3157	257	9	completely	completely	ADV
ejpam-3157	257	10	because	because	SCONJ
ejpam-3157	257	11	the	the	DET
ejpam-3157	257	12	differences	difference	NOUN
ejpam-3157	257	13	are	be	AUX
ejpam-3157	257	14	quite	quite	ADV
ejpam-3157	257	15	small	small	ADJ
ejpam-3157	257	16	.	.	PUNCT
ejpam-3157	258	1	the	the	DET
ejpam-3157	258	2	opposite	opposite	NOUN
ejpam-3157	258	3	is	be	AUX
ejpam-3157	258	4	observed	observe	VERB
ejpam-3157	258	5	for	for	ADP
ejpam-3157	258	6	the	the	DET
ejpam-3157	258	7	36	36	NUM
ejpam-3157	258	8	hour	hour	NOUN
ejpam-3157	258	9	deadline	deadline	NOUN
ejpam-3157	258	10	for	for	ADP
ejpam-3157	258	11	which	which	PRON
ejpam-3157	258	12	the	the	DET
ejpam-3157	258	13	model	model	NOUN
ejpam-3157	258	14	starts	start	VERB
ejpam-3157	258	15	an	an	DET
ejpam-3157	258	16	over	over	ADP
ejpam-3157	258	17	-	-	PUNCT
ejpam-3157	258	18	estimation	estimation	NOUN
ejpam-3157	258	19	and	and	CCONJ
ejpam-3157	258	20	ends	end	VERB
ejpam-3157	258	21	with	with	ADP
ejpam-3157	258	22	a	a	DET
ejpam-3157	258	23	good	good	ADJ
ejpam-3157	258	24	behavior	behavior	NOUN
ejpam-3157	258	25	.	.	PUNCT
ejpam-3157	259	1	for	for	ADP
ejpam-3157	259	2	the	the	DET
ejpam-3157	259	3	deadlines	deadline	NOUN
ejpam-3157	259	4	96	96	NUM
ejpam-3157	259	5	and	and	CCONJ
ejpam-3157	259	6	108	108	NUM
ejpam-3157	259	7	h	h	NOUN
ejpam-3157	259	8	(	(	PUNCT
ejpam-3157	259	9	see	see	VERB
ejpam-3157	259	10	fig	fig	NOUN
ejpam-3157	259	11	15	15	NUM
ejpam-3157	259	12	up	up	ADP
ejpam-3157	259	13	to	to	PART
ejpam-3157	259	14	fig	fig	VERB
ejpam-3157	259	15	20	20	NUM
ejpam-3157	259	16	)	)	PUNCT
ejpam-3157	259	17	,	,	PUNCT
ejpam-3157	259	18	we	we	PRON
ejpam-3157	259	19	notice	notice	VERB
ejpam-3157	259	20	that	that	SCONJ
ejpam-3157	259	21	the	the	DET
ejpam-3157	259	22	model	model	NOUN
ejpam-3157	259	23	is	be	AUX
ejpam-3157	259	24	in	in	ADP
ejpam-3157	259	25	good	good	ADJ
ejpam-3157	259	26	agreement	agreement	NOUN
ejpam-3157	259	27	with	with	ADP
ejpam-3157	259	28	the	the	DET
ejpam-3157	259	29	observations	observation	NOUN
ejpam-3157	259	30	for	for	ADP
ejpam-3157	259	31	the	the	DET
ejpam-3157	259	32	important	important	ADJ
ejpam-3157	259	33	depths	depth	NOUN
ejpam-3157	259	34	for	for	ADP
ejpam-3157	259	35	which	which	PRON
ejpam-3157	259	36	it	it	PRON
ejpam-3157	259	37	gives	give	VERB
ejpam-3157	259	38	quite	quite	ADV
ejpam-3157	259	39	virtual	virtual	ADJ
ejpam-3157	259	40	temperatures	temperature	NOUN
ejpam-3157	259	41	,	,	PUNCT
ejpam-3157	259	42	but	but	CCONJ
ejpam-3157	259	43	differences	difference	NOUN
ejpam-3157	259	44	despite	despite	SCONJ
ejpam-3157	259	45	which	which	PRON
ejpam-3157	259	46	are	be	AUX
ejpam-3157	259	47	weak	weak	ADJ
ejpam-3157	259	48	not	not	PART
ejpam-3157	259	49	exceeding	exceed	VERB
ejpam-3157	259	50	0.6	0.6	NUM
ejpam-3157	259	51	cm	cm	NOUN
ejpam-3157	259	52	,	,	PUNCT
ejpam-3157	259	53	begin	begin	VERB
ejpam-3157	259	54	to	to	PART
ejpam-3157	259	55	appear	appear	VERB
ejpam-3157	259	56	when	when	SCONJ
ejpam-3157	259	57	the	the	DET
ejpam-3157	259	58	depth	depth	NOUN
ejpam-3157	259	59	decreases	decrease	VERB
ejpam-3157	259	60	for	for	ADP
ejpam-3157	259	61	the	the	DET
ejpam-3157	259	62	96	96	NUM
ejpam-3157	259	63	hour	hour	NOUN
ejpam-3157	259	64	deadline	deadline	NOUN
ejpam-3157	259	65	.	.	PUNCT
ejpam-3157	260	1	an	an	DET
ejpam-3157	260	2	unverified	unverified	ADJ
ejpam-3157	260	3	aspect	aspect	NOUN
ejpam-3157	260	4	for	for	ADP
ejpam-3157	260	5	108	108	NUM
ejpam-3157	260	6	hours	hour	NOUN
ejpam-3157	260	7	of	of	ADP
ejpam-3157	260	8	expiry	expiry	NOUN
ejpam-3157	260	9	where	where	SCONJ
ejpam-3157	260	10	the	the	DET
ejpam-3157	260	11	model	model	NOUN
ejpam-3157	260	12	has	have	VERB
ejpam-3157	260	13	an	an	DET
ejpam-3157	260	14	underestimation	underestimation	NOUN
ejpam-3157	260	15	of	of	ADP
ejpam-3157	260	16	the	the	DET
ejpam-3157	260	17	temperature	temperature	NOUN
ejpam-3157	260	18	for	for	ADP
ejpam-3157	260	19	different	different	ADJ
ejpam-3157	260	20	depths	depth	NOUN
ejpam-3157	260	21	.	.	PUNCT
ejpam-3157	261	1	it	it	PRON
ejpam-3157	261	2	is	be	AUX
ejpam-3157	261	3	reported	report	VERB
ejpam-3157	261	4	that	that	SCONJ
ejpam-3157	261	5	the	the	DET
ejpam-3157	261	6	statistical	statistical	ADJ
ejpam-3157	261	7	results	result	NOUN
ejpam-3157	261	8	show	show	VERB
ejpam-3157	261	9	a	a	DET
ejpam-3157	261	10	positive	positive	ADJ
ejpam-3157	261	11	evolution	evolution	NOUN
ejpam-3157	261	12	between	between	ADP
ejpam-3157	261	13	the	the	DET
ejpam-3157	261	14	two	two	NUM
ejpam-3157	261	15	simulations	simulation	NOUN
ejpam-3157	261	16	by	by	ADP
ejpam-3157	261	17	the	the	DET
ejpam-3157	261	18	comparison	comparison	NOUN
ejpam-3157	261	19	of	of	ADP
ejpam-3157	261	20	the	the	DET
ejpam-3157	261	21	mean	mean	ADJ
ejpam-3157	261	22	squared	square	VERB
ejpam-3157	261	23	error	error	NOUN
ejpam-3157	261	24	which	which	PRON
ejpam-3157	261	25	goes	go	VERB
ejpam-3157	261	26	from	from	ADP
ejpam-3157	261	27	0.46	0.46	NUM
ejpam-3157	261	28	for	for	ADP
ejpam-3157	261	29	the	the	DET
ejpam-3157	261	30	simulation	simulation	NOUN
ejpam-3157	261	31	without	without	ADP
ejpam-3157	261	32	initialization	initialization	NOUN
ejpam-3157	261	33	to	to	ADP
ejpam-3157	261	34	0.34	0.34	NUM
ejpam-3157	261	35	for	for	ADP
ejpam-3157	261	36	the	the	DET
ejpam-3157	261	37	simulation	simulation	NOUN
ejpam-3157	261	38	with	with	ADP
ejpam-3157	261	39	initialization	initialization	NOUN
ejpam-3157	261	40	.	.	PUNCT
ejpam-3157	262	1	however	however	ADV
ejpam-3157	262	2	,	,	PUNCT
ejpam-3157	262	3	note	note	VERB
ejpam-3157	262	4	that	that	SCONJ
ejpam-3157	262	5	there	there	PRON
ejpam-3157	262	6	is	be	VERB
ejpam-3157	262	7	not	not	PART
ejpam-3157	262	8	a	a	DET
ejpam-3157	262	9	very	very	ADV
ejpam-3157	262	10	good	good	ADJ
ejpam-3157	262	11	agreement	agreement	NOUN
ejpam-3157	262	12	between	between	ADP
ejpam-3157	262	13	the	the	DET
ejpam-3157	262	14	expected	expect	VERB
ejpam-3157	262	15	temperatures	temperature	NOUN
ejpam-3157	262	16	and	and	CCONJ
ejpam-3157	262	17	those	those	PRON
ejpam-3157	262	18	observed	observe	VERB
ejpam-3157	262	19	for	for	ADP
ejpam-3157	262	20	different	different	ADJ
ejpam-3157	262	21	depths	depth	NOUN
ejpam-3157	262	22	.	.	PUNCT
ejpam-3157	263	1	the	the	DET
ejpam-3157	263	2	figure	figure	NOUN
ejpam-3157	263	3	shows	show	VERB
ejpam-3157	263	4	that	that	SCONJ
ejpam-3157	263	5	the	the	DET
ejpam-3157	263	6	model	model	NOUN
ejpam-3157	263	7	slightly	slightly	ADV
ejpam-3157	263	8	overestimates	overestimate	VERB
ejpam-3157	263	9	the	the	DET
ejpam-3157	263	10	temperature	temperature	NOUN
ejpam-3157	263	11	for	for	ADP
ejpam-3157	263	12	the	the	DET
ejpam-3157	263	13	weak	weak	ADJ
ejpam-3157	263	14	and	and	CCONJ
ejpam-3157	263	15	the	the	DET
ejpam-3157	263	16	deep	deep	ADJ
ejpam-3157	263	17	depths	depth	NOUN
ejpam-3157	263	18	and	and	CCONJ
ejpam-3157	263	19	arrives	arrive	VERB
ejpam-3157	263	20	at	at	ADP
ejpam-3157	263	21	a	a	DET
ejpam-3157	263	22	good	good	ADJ
ejpam-3157	263	23	prediction	prediction	NOUN
ejpam-3157	263	24	for	for	ADP
ejpam-3157	263	25	a	a	DET
ejpam-3157	263	26	depth	depth	NOUN
ejpam-3157	263	27	of	of	ADP
ejpam-3157	263	28	10	10	NUM
ejpam-3157	263	29	cm	cm	NOUN
ejpam-3157	263	30	,	,	PUNCT
ejpam-3157	263	31	but	but	CCONJ
ejpam-3157	263	32	remains	remain	VERB
ejpam-3157	263	33	close	close	ADJ
ejpam-3157	263	34	to	to	ADP
ejpam-3157	263	35	observations	observation	NOUN
ejpam-3157	263	36	.	.	PUNCT
ejpam-3157	264	1	however	however	ADV
ejpam-3157	264	2	,	,	PUNCT
ejpam-3157	264	3	the	the	DET
ejpam-3157	264	4	results	result	NOUN
ejpam-3157	264	5	of	of	ADP
ejpam-3157	264	6	the	the	DET
ejpam-3157	264	7	simulation	simulation	NOUN
ejpam-3157	264	8	do	do	AUX
ejpam-3157	264	9	not	not	PART
ejpam-3157	264	10	indicate	indicate	VERB
ejpam-3157	264	11	a	a	DET
ejpam-3157	264	12	fairly	fairly	ADV
ejpam-3157	264	13	clear	clear	ADJ
ejpam-3157	264	14	behavior	behavior	NOUN
ejpam-3157	264	15	of	of	ADP
ejpam-3157	264	16	the	the	DET
ejpam-3157	264	17	model	model	NOUN
ejpam-3157	264	18	with	with	ADP
ejpam-3157	264	19	respect	respect	NOUN
ejpam-3157	264	20	to	to	ADP
ejpam-3157	264	21	deadlines	deadline	NOUN
ejpam-3157	264	22	and	and	CCONJ
ejpam-3157	264	23	depths	depth	NOUN
ejpam-3157	264	24	.	.	PUNCT
ejpam-3157	265	1	in	in	ADP
ejpam-3157	265	2	some	some	DET
ejpam-3157	265	3	cases	case	NOUN
ejpam-3157	265	4	,	,	PUNCT
ejpam-3157	265	5	there	there	PRON
ejpam-3157	265	6	is	be	VERB
ejpam-3157	265	7	an	an	DET
ejpam-3157	265	8	overestimation	overestimation	NOUN
ejpam-3157	265	9	.	.	PUNCT
ejpam-3157	266	1	in	in	ADP
ejpam-3157	266	2	other	other	ADJ
ejpam-3157	266	3	cases	case	NOUN
ejpam-3157	266	4	an	an	DET
ejpam-3157	266	5	underestimation	underestimation	NOUN
ejpam-3157	266	6	and	and	CCONJ
ejpam-3157	266	7	a	a	DET
ejpam-3157	266	8	good	good	ADJ
ejpam-3157	266	9	reproduction	reproduction	NOUN
ejpam-3157	266	10	in	in	ADP
ejpam-3157	266	11	the	the	DET
ejpam-3157	266	12	remaining	remain	VERB
ejpam-3157	266	13	cases	case	NOUN
ejpam-3157	266	14	.	.	PUNCT
ejpam-3157	267	1	although	although	SCONJ
ejpam-3157	267	2	the	the	DET
ejpam-3157	267	3	terms	term	NOUN
ejpam-3157	267	4	underestimation	underestimation	NOUN
ejpam-3157	267	5	and	and	CCONJ
ejpam-3157	267	6	overestimation	overestimation	NOUN
ejpam-3157	267	7	are	be	AUX
ejpam-3157	267	8	used	use	VERB
ejpam-3157	267	9	,	,	PUNCT
ejpam-3157	267	10	the	the	DET
ejpam-3157	267	11	general	general	ADJ
ejpam-3157	267	12	behavior	behavior	NOUN
ejpam-3157	267	13	remains	remain	VERB
ejpam-3157	267	14	fairly	fairly	ADV
ejpam-3157	267	15	virtual	virtual	ADJ
ejpam-3157	267	16	because	because	SCONJ
ejpam-3157	267	17	of	of	ADP
ejpam-3157	267	18	the	the	DET
ejpam-3157	267	19	small	small	ADJ
ejpam-3157	267	20	difference	difference	NOUN
ejpam-3157	267	21	between	between	ADP
ejpam-3157	267	22	measurement	measurement	NOUN
ejpam-3157	267	23	and	and	CCONJ
ejpam-3157	267	24	calculation	calculation	NOUN
ejpam-3157	267	25	.	.	PUNCT
ejpam-3157	268	1	5	5	X
ejpam-3157	268	2	.	.	X
ejpam-3157	268	3	conclusion	conclusion	NOUN
ejpam-3157	268	4	the	the	DET
ejpam-3157	268	5	study	study	NOUN
ejpam-3157	268	6	showed	show	VERB
ejpam-3157	268	7	that	that	SCONJ
ejpam-3157	268	8	the	the	DET
ejpam-3157	268	9	finite	finite	PROPN
ejpam-3157	268	10	element	element	NOUN
ejpam-3157	268	11	method	method	NOUN
ejpam-3157	268	12	satisfactorily	satisfactorily	ADV
ejpam-3157	268	13	reflects	reflect	VERB
ejpam-3157	268	14	the	the	DET
ejpam-3157	268	15	variation	variation	NOUN
ejpam-3157	268	16	of	of	ADP
ejpam-3157	268	17	temperature	temperature	NOUN
ejpam-3157	268	18	fields	field	NOUN
ejpam-3157	268	19	at	at	ADP
ejpam-3157	268	20	different	different	ADJ
ejpam-3157	268	21	depths	depth	NOUN
ejpam-3157	268	22	of	of	ADP
ejpam-3157	268	23	the	the	DET
ejpam-3157	268	24	soil	soil	NOUN
ejpam-3157	268	25	.	.	PUNCT
ejpam-3157	269	1	according	accord	VERB
ejpam-3157	269	2	to	to	ADP
ejpam-3157	269	3	the	the	DET
ejpam-3157	269	4	results	result	NOUN
ejpam-3157	269	5	obtained	obtain	VERB
ejpam-3157	269	6	,	,	PUNCT
ejpam-3157	269	7	the	the	DET
ejpam-3157	269	8	method	method	NOUN
ejpam-3157	269	9	gives	give	VERB
ejpam-3157	269	10	a	a	DET
ejpam-3157	269	11	good	good	ADJ
ejpam-3157	269	12	simulation	simulation	NOUN
ejpam-3157	269	13	and	and	CCONJ
ejpam-3157	269	14	explains	explain	VERB
ejpam-3157	269	15	to	to	ADP
ejpam-3157	269	16	a	a	DET
ejpam-3157	269	17	precision	precision	NOUN
ejpam-3157	269	18	that	that	PRON
ejpam-3157	269	19	does	do	AUX
ejpam-3157	269	20	not	not	PART
ejpam-3157	269	21	exceed	exceed	VERB
ejpam-3157	269	22	0.6	0.6	NUM
ejpam-3157	269	23	degree	degree	NOUN
ejpam-3157	269	24	maximum	maximum	NOUN
ejpam-3157	269	25	,	,	PUNCT
ejpam-3157	269	26	that	that	SCONJ
ejpam-3157	269	27	the	the	DET
ejpam-3157	269	28	model	model	NOUN
ejpam-3157	269	29	did	do	AUX
ejpam-3157	269	30	not	not	PART
ejpam-3157	269	31	diverge	diverge	VERB
ejpam-3157	269	32	even	even	ADV
ejpam-3157	269	33	after	after	ADP
ejpam-3157	269	34	108	108	NUM
ejpam-3157	269	35	hours	hour	NOUN
ejpam-3157	269	36	.	.	PUNCT
ejpam-3157	270	1	logically	logically	ADV
ejpam-3157	270	2	,	,	PUNCT
ejpam-3157	270	3	the	the	DET
ejpam-3157	270	4	model	model	NOUN
ejpam-3157	270	5	will	will	AUX
ejpam-3157	270	6	references	reference	VERB
ejpam-3157	270	7	126	126	NUM
ejpam-3157	270	8	start	start	NOUN
ejpam-3157	270	9	to	to	PART
ejpam-3157	270	10	move	move	VERB
ejpam-3157	270	11	away	away	ADV
ejpam-3157	270	12	from	from	ADP
ejpam-3157	270	13	the	the	DET
ejpam-3157	270	14	measure	measure	NOUN
ejpam-3157	270	15	as	as	ADP
ejpam-3157	270	16	maturities	maturity	NOUN
ejpam-3157	270	17	increase	increase	NOUN
ejpam-3157	270	18	,	,	PUNCT
ejpam-3157	270	19	but	but	CCONJ
ejpam-3157	270	20	this	this	PRON
ejpam-3157	270	21	is	be	AUX
ejpam-3157	270	22	not	not	PART
ejpam-3157	270	23	the	the	DET
ejpam-3157	270	24	case	case	NOUN
ejpam-3157	270	25	for	for	ADP
ejpam-3157	270	26	our	our	PRON
ejpam-3157	270	27	present	present	ADJ
ejpam-3157	270	28	model	model	NOUN
ejpam-3157	270	29	and	and	CCONJ
ejpam-3157	270	30	this	this	PRON
ejpam-3157	270	31	is	be	AUX
ejpam-3157	270	32	due	due	ADJ
ejpam-3157	270	33	to	to	ADP
ejpam-3157	270	34	the	the	DET
ejpam-3157	270	35	assumptions	assumption	NOUN
ejpam-3157	270	36	we	we	PRON
ejpam-3157	270	37	made	make	VERB
ejpam-3157	270	38	:	:	PUNCT
ejpam-3157	270	39	linear	linear	ADJ
ejpam-3157	270	40	interpolation	interpolation	NOUN
ejpam-3157	270	41	between	between	ADP
ejpam-3157	270	42	minimum	minimum	ADJ
ejpam-3157	270	43	and	and	CCONJ
ejpam-3157	270	44	maximum	maximum	ADJ
ejpam-3157	270	45	ground	ground	NOUN
ejpam-3157	270	46	temperature	temperature	NOUN
ejpam-3157	270	47	to	to	PART
ejpam-3157	270	48	obtain	obtain	VERB
ejpam-3157	270	49	temperatures	temperature	NOUN
ejpam-3157	270	50	every	every	DET
ejpam-3157	270	51	10	10	NUM
ejpam-3157	270	52	minutes	minute	NOUN
ejpam-3157	270	53	;	;	PUNCT
ejpam-3157	270	54	the	the	DET
ejpam-3157	270	55	presence	presence	NOUN
ejpam-3157	270	56	of	of	ADP
ejpam-3157	270	57	clouds	cloud	NOUN
ejpam-3157	270	58	and	and	CCONJ
ejpam-3157	270	59	dew	dew	NOUN
ejpam-3157	270	60	each	each	DET
ejpam-3157	270	61	morning	morning	NOUN
ejpam-3157	270	62	during	during	ADP
ejpam-3157	270	63	the	the	DET
ejpam-3157	270	64	entire	entire	ADJ
ejpam-3157	270	65	deadline	deadline	NOUN
ejpam-3157	270	66	,	,	PUNCT
ejpam-3157	270	67	the	the	DET
ejpam-3157	270	68	presence	presence	NOUN
ejpam-3157	270	69	of	of	ADP
ejpam-3157	270	70	rains	rain	NOUN
ejpam-3157	270	71	,	,	PUNCT
ejpam-3157	270	72	the	the	DET
ejpam-3157	270	73	presence	presence	NOUN
ejpam-3157	270	74	of	of	ADP
ejpam-3157	270	75	plants	plant	NOUN
ejpam-3157	270	76	.	.	PUNCT
ejpam-3157	271	1	we	we	PRON
ejpam-3157	271	2	noticed	notice	VERB
ejpam-3157	271	3	after	after	ADP
ejpam-3157	271	4	the	the	DET
ejpam-3157	271	5	simulations	simulation	NOUN
ejpam-3157	271	6	that	that	PRON
ejpam-3157	271	7	the	the	DET
ejpam-3157	271	8	finite	finite	PROPN
ejpam-3157	271	9	element	element	NOUN
ejpam-3157	271	10	method	method	NOUN
ejpam-3157	271	11	estimates	estimate	NOUN
ejpam-3157	271	12	with	with	ADP
ejpam-3157	271	13	good	good	ADJ
ejpam-3157	271	14	accuracy	accuracy	NOUN
ejpam-3157	271	15	the	the	DET
ejpam-3157	271	16	temperature	temperature	NOUN
ejpam-3157	271	17	in	in	ADP
ejpam-3157	271	18	the	the	DET
ejpam-3157	271	19	soil	soil	NOUN
ejpam-3157	271	20	.	.	PUNCT
ejpam-3157	272	1	the	the	DET
ejpam-3157	272	2	results	result	NOUN
ejpam-3157	272	3	are	be	AUX
ejpam-3157	272	4	quite	quite	ADV
ejpam-3157	272	5	conclusive	conclusive	ADJ
ejpam-3157	272	6	as	as	ADV
ejpam-3157	272	7	well	well	ADV
ejpam-3157	272	8	with	with	ADP
ejpam-3157	272	9	an	an	DET
ejpam-3157	272	10	initialization	initialization	NOUN
ejpam-3157	272	11	as	as	ADP
ejpam-3157	272	12	without	without	ADP
ejpam-3157	272	13	.	.	PUNCT
ejpam-3157	273	1	on	on	ADP
ejpam-3157	273	2	the	the	DET
ejpam-3157	273	3	other	other	ADJ
ejpam-3157	273	4	hand	hand	NOUN
ejpam-3157	273	5	,	,	PUNCT
ejpam-3157	273	6	we	we	PRON
ejpam-3157	273	7	would	would	AUX
ejpam-3157	273	8	like	like	VERB
ejpam-3157	273	9	to	to	PART
ejpam-3157	273	10	point	point	VERB
ejpam-3157	273	11	out	out	ADP
ejpam-3157	273	12	that	that	SCONJ
ejpam-3157	273	13	the	the	DET
ejpam-3157	273	14	results	result	NOUN
ejpam-3157	273	15	of	of	ADP
ejpam-3157	273	16	the	the	DET
ejpam-3157	273	17	simulation	simulation	NOUN
ejpam-3157	273	18	could	could	AUX
ejpam-3157	273	19	be	be	AUX
ejpam-3157	273	20	better	well	ADJ
ejpam-3157	273	21	if	if	SCONJ
ejpam-3157	273	22	the	the	DET
ejpam-3157	273	23	measurements	measurement	NOUN
ejpam-3157	273	24	were	be	AUX
ejpam-3157	273	25	made	make	VERB
ejpam-3157	273	26	under	under	ADP
ejpam-3157	273	27	a	a	DET
ejpam-3157	273	28	greenhouse	greenhouse	NOUN
ejpam-3157	273	29	and	and	CCONJ
ejpam-3157	273	30	thus	thus	ADV
ejpam-3157	273	31	protected	protect	VERB
ejpam-3157	273	32	from	from	ADP
ejpam-3157	273	33	the	the	DET
ejpam-3157	273	34	hydrometeor	hydrometeor	NOUN
ejpam-3157	273	35	which	which	PRON
ejpam-3157	273	36	clearly	clearly	ADV
ejpam-3157	273	37	influence	influence	VERB
ejpam-3157	273	38	the	the	DET
ejpam-3157	273	39	variation	variation	NOUN
ejpam-3157	273	40	of	of	ADP
ejpam-3157	273	41	the	the	DET
ejpam-3157	273	42	surface	surface	NOUN
ejpam-3157	273	43	temperature	temperature	NOUN
ejpam-3157	273	44	.	.	PUNCT
ejpam-3157	274	1	acknowledgements	acknowledgement	NOUN
ejpam-3157	274	2	the	the	DET
ejpam-3157	274	3	first	first	ADJ
ejpam-3157	274	4	and	and	CCONJ
ejpam-3157	274	5	second	second	ADJ
ejpam-3157	274	6	authors	author	NOUN
ejpam-3157	274	7	gratefully	gratefully	ADV
ejpam-3157	274	8	acknowledge	acknowledge	VERB
ejpam-3157	274	9	qassim	qassim	PROPN
ejpam-3157	274	10	university	university	PROPN
ejpam-3157	274	11	,	,	PUNCT
ejpam-3157	274	12	represented	represent	VERB
ejpam-3157	274	13	by	by	ADP
ejpam-3157	274	14	the	the	DET
ejpam-3157	274	15	deanship	deanship	NOUN
ejpam-3157	274	16	of	of	ADP
ejpam-3157	274	17	scientific	scientific	ADJ
ejpam-3157	274	18	research	research	NOUN
ejpam-3157	274	19	,	,	PUNCT
ejpam-3157	274	20	on	on	ADP
ejpam-3157	274	21	the	the	DET
ejpam-3157	274	22	material	material	NOUN
ejpam-3157	274	23	support	support	NOUN
ejpam-3157	274	24	for	for	ADP
ejpam-3157	274	25	this	this	DET
ejpam-3157	274	26	research	research	NOUN
ejpam-3157	274	27	under	under	ADP
ejpam-3157	274	28	number	number	NOUN
ejpam-3157	274	29	(	(	PUNCT
ejpam-3157	274	30	1460	1460	NUM
ejpam-3157	274	31	-	-	PUNCT
ejpam-3157	274	32	alrasscac-2016	alrasscac-2016	ADJ
ejpam-3157	274	33	-	-	PUNCT
ejpam-3157	274	34	1	1	NUM
ejpam-3157	274	35	-	-	PUNCT
ejpam-3157	274	36	12	12	NUM
ejpam-3157	274	37	-	-	PUNCT
ejpam-3157	274	38	s	s	NOUN
ejpam-3157	274	39	)	)	PUNCT
ejpam-3157	274	40	during	during	ADP
ejpam-3157	274	41	the	the	DET
ejpam-3157	274	42	academic	academic	ADJ
ejpam-3157	274	43	year	year	NOUN
ejpam-3157	274	44	1437	1437	NUM
ejpam-3157	274	45	ah/	ah/	VERB
ejpam-3157	274	46	2016	2016	NUM
ejpam-3157	274	47	ad	ad	NOUN
ejpam-3157	274	48	.	.	PUNCT
ejpam-3157	275	1	also	also	ADV
ejpam-3157	275	2	the	the	DET
ejpam-3157	275	3	authors	author	NOUN
ejpam-3157	275	4	would	would	AUX
ejpam-3157	275	5	like	like	VERB
ejpam-3157	275	6	to	to	PART
ejpam-3157	275	7	thank	thank	VERB
ejpam-3157	275	8	the	the	DET
ejpam-3157	275	9	anonymous	anonymous	ADJ
ejpam-3157	275	10	referees	referee	NOUN
ejpam-3157	275	11	and	and	CCONJ
ejpam-3157	275	12	the	the	DET
ejpam-3157	275	13	handling	handling	NOUN
ejpam-3157	275	14	editor	editor	NOUN
ejpam-3157	275	15	for	for	ADP
ejpam-3157	275	16	their	their	PRON
ejpam-3157	275	17	careful	careful	ADJ
ejpam-3157	275	18	reading	reading	NOUN
ejpam-3157	275	19	and	and	CCONJ
ejpam-3157	275	20	for	for	ADP
ejpam-3157	275	21	relevant	relevant	ADJ
ejpam-3157	275	22	remarks	remark	NOUN
ejpam-3157	275	23	/	/	SYM
ejpam-3157	275	24	suggestions	suggestion	NOUN
ejpam-3157	275	25	which	which	PRON
ejpam-3157	275	26	helped	help	VERB
ejpam-3157	275	27	them	they	PRON
ejpam-3157	275	28	to	to	PART
ejpam-3157	275	29	improve	improve	VERB
ejpam-3157	275	30	the	the	DET
ejpam-3157	275	31	paper	paper	NOUN
ejpam-3157	275	32	.	.	PUNCT
ejpam-3157	276	1	references	reference	NOUN
ejpam-3157	276	2	[	[	X
ejpam-3157	276	3	1	1	NUM
ejpam-3157	276	4	]	]	PUNCT
ejpam-3157	276	5	m.	m.	PROPN
ejpam-3157	276	6	ainsworth	ainsworth	PROPN
ejpam-3157	276	7	,	,	PUNCT
ejpam-3157	276	8	dispersive	dispersive	ADJ
ejpam-3157	276	9	and	and	CCONJ
ejpam-3157	276	10	dissipative	dissipative	ADJ
ejpam-3157	276	11	behavior	behavior	NOUN
ejpam-3157	276	12	of	of	ADP
ejpam-3157	276	13	high	high	ADJ
ejpam-3157	276	14	order	order	NOUN
ejpam-3157	276	15	discontinuous	discontinuous	ADJ
ejpam-3157	276	16	galerkin	galerkin	ADJ
ejpam-3157	276	17	finite	finite	PROPN
ejpam-3157	276	18	element	element	NOUN
ejpam-3157	276	19	methods	method	NOUN
ejpam-3157	276	20	.	.	PUNCT
ejpam-3157	277	1	journal	journal	NOUN
ejpam-3157	277	2	of	of	ADP
ejpam-3157	277	3	computational	computational	ADJ
ejpam-3157	277	4	physics	physics	NOUN
ejpam-3157	277	5	,	,	PUNCT
ejpam-3157	277	6	198(1):106–130	198(1):106–130	NUM
ejpam-3157	277	7	,	,	PUNCT
ejpam-3157	277	8	2004	2004	NUM
ejpam-3157	277	9	.	.	PUNCT
ejpam-3157	278	1	[	[	X
ejpam-3157	278	2	2	2	NUM
ejpam-3157	278	3	]	]	PUNCT
ejpam-3157	278	4	a.	a.	NOUN
ejpam-3157	278	5	arakawa	arakawa	PROPN
ejpam-3157	278	6	,	,	PUNCT
ejpam-3157	278	7	v.r	v.r	PROPN
ejpam-3157	278	8	.	.	PROPN
ejpam-3157	278	9	lamb	lamb	PROPN
ejpam-3157	278	10	,	,	PUNCT
ejpam-3157	278	11	computational	computational	ADJ
ejpam-3157	278	12	design	design	NOUN
ejpam-3157	278	13	of	of	ADP
ejpam-3157	278	14	the	the	DET
ejpam-3157	278	15	basic	basic	ADJ
ejpam-3157	278	16	dynamical	dynamical	ADJ
ejpam-3157	278	17	processes	process	NOUN
ejpam-3157	278	18	of	of	ADP
ejpam-3157	278	19	the	the	DET
ejpam-3157	278	20	ucla	ucla	PROPN
ejpam-3157	278	21	general	general	PROPN
ejpam-3157	278	22	circulation	circulation	NOUN
ejpam-3157	278	23	model	model	NOUN
ejpam-3157	278	24	methods	method	NOUN
ejpam-3157	278	25	comput	comput	VERB
ejpam-3157	278	26	.	.	PUNCT
ejpam-3157	279	1	phys	phy	NOUN
ejpam-3157	279	2	.	.	PUNCT
ejpam-3157	279	3	,	,	PUNCT
ejpam-3157	279	4	17:173–265	17:173–265	NUM
ejpam-3157	279	5	.	.	PUNCT
ejpam-3157	280	1	[	[	X
ejpam-3157	280	2	3	3	X
ejpam-3157	280	3	]	]	X
ejpam-3157	280	4	s.	s.	PROPN
ejpam-3157	280	5	boulaaras	boulaaras	PROPN
ejpam-3157	280	6	and	and	CCONJ
ejpam-3157	280	7	m.	m.	NOUN
ejpam-3157	280	8	haiour	haiour	NOUN
ejpam-3157	280	9	.	.	PUNCT
ejpam-3157	281	1	“	"	PUNCT
ejpam-3157	281	2	l∞-asymptotic	l∞-asymptotic	ADJ
ejpam-3157	281	3	behavior	behavior	NOUN
ejpam-3157	281	4	for	for	ADP
ejpam-3157	281	5	a	a	DET
ejpam-3157	281	6	finite	finite	ADJ
ejpam-3157	281	7	element	element	NOUN
ejpam-3157	281	8	approximation	approximation	NOUN
ejpam-3157	281	9	in	in	ADP
ejpam-3157	281	10	parabolic	parabolic	ADJ
ejpam-3157	281	11	quasi	quasi	ADJ
ejpam-3157	281	12	-	-	ADJ
ejpam-3157	281	13	variational	variational	ADJ
ejpam-3157	281	14	inequalities	inequality	NOUN
ejpam-3157	281	15	related	relate	VERB
ejpam-3157	281	16	to	to	ADP
ejpam-3157	281	17	impulse	impulse	ADJ
ejpam-3157	281	18	control	control	NOUN
ejpam-3157	281	19	problem	problem	NOUN
ejpam-3157	281	20	”	"	PUNCT
ejpam-3157	281	21	,	,	PUNCT
ejpam-3157	281	22	applied	apply	VERB
ejpam-3157	281	23	mathematics	mathematic	NOUN
ejpam-3157	281	24	and	and	CCONJ
ejpam-3157	281	25	computation	computation	NOUN
ejpam-3157	281	26	,	,	PUNCT
ejpam-3157	281	27	vol	vol	NOUN
ejpam-3157	281	28	.	.	PROPN
ejpam-3157	281	29	217	217	NUM
ejpam-3157	281	30	,	,	PUNCT
ejpam-3157	281	31	no	no	INTJ
ejpam-3157	281	32	.	.	NOUN
ejpam-3157	281	33	3	3	NUM
ejpam-3157	281	34	,	,	PUNCT
ejpam-3157	281	35	2011	2011	NUM
ejpam-3157	281	36	,	,	PUNCT
ejpam-3157	281	37	pp	pp	ADJ
ejpam-3157	281	38	.	.	PUNCT
ejpam-3157	282	1	6443–6450	6443–6450	NOUN
ejpam-3157	282	2	,	,	PUNCT
ejpam-3157	282	3	[	[	X
ejpam-3157	282	4	4	4	NUM
ejpam-3157	282	5	]	]	PUNCT
ejpam-3157	282	6	15s	15s	NUM
ejpam-3157	282	7	.	.	PUNCT
ejpam-3157	283	1	boulaaras	boulaaras	NOUN
ejpam-3157	283	2	,	,	PUNCT
ejpam-3157	283	3	m.	m.	NOUN
ejpam-3157	283	4	haiour	haiour	PROPN
ejpam-3157	283	5	:	:	PUNCT
ejpam-3157	283	6	a	a	DET
ejpam-3157	283	7	general	general	ADJ
ejpam-3157	283	8	case	case	NOUN
ejpam-3157	283	9	for	for	ADP
ejpam-3157	283	10	the	the	DET
ejpam-3157	283	11	maximum	maximum	ADJ
ejpam-3157	283	12	norm	norm	NOUN
ejpam-3157	283	13	analysis	analysis	NOUN
ejpam-3157	283	14	of	of	ADP
ejpam-3157	283	15	an	an	DET
ejpam-3157	283	16	overlapping	overlap	VERB
ejpam-3157	283	17	schwarz	schwarz	NOUN
ejpam-3157	283	18	methods	method	NOUN
ejpam-3157	283	19	of	of	ADP
ejpam-3157	283	20	evolutionary	evolutionary	ADJ
ejpam-3157	283	21	hjb	hjb	NOUN
ejpam-3157	283	22	equation	equation	NOUN
ejpam-3157	283	23	with	with	ADP
ejpam-3157	283	24	nonlinear	nonlinear	ADJ
ejpam-3157	283	25	source	source	NOUN
ejpam-3157	283	26	terms	term	NOUN
ejpam-3157	283	27	with	with	ADP
ejpam-3157	283	28	the	the	DET
ejpam-3157	283	29	mixed	mixed	ADJ
ejpam-3157	283	30	boundary	boundary	ADJ
ejpam-3157	283	31	conditions	condition	NOUN
ejpam-3157	283	32	,	,	PUNCT
ejpam-3157	283	33	applied	apply	VERB
ejpam-3157	283	34	mathematics	mathematics	PROPN
ejpam-3157	283	35	&	&	CCONJ
ejpam-3157	283	36	information	information	NOUN
ejpam-3157	283	37	sciences	science	NOUN
ejpam-3157	283	38	9(3	9(3	NUM
ejpam-3157	283	39	):	):	PUNCT
ejpam-3157	283	40	(	(	PUNCT
ejpam-3157	283	41	2015)1247	2015)1247	NOUN
ejpam-3157	283	42	-	-	PUNCT
ejpam-3157	283	43	1257	1257	NUM
ejpam-3157	283	44	·	·	PUNCT
ejpam-3157	284	1	[	[	X
ejpam-3157	284	2	5	5	NUM
ejpam-3157	284	3	]	]	X
ejpam-3157	284	4	j.h	j.h	PROPN
ejpam-3157	284	5	.	.	PROPN
ejpam-3157	284	6	atkinson	atkinson	PROPN
ejpam-3157	284	7	,	,	PUNCT
ejpam-3157	284	8	j.j	j.j	PROPN
ejpam-3157	284	9	.	.	PROPN
ejpam-3157	284	10	westerink	westerink	PROPN
ejpam-3157	284	11	,	,	PUNCT
ejpam-3157	284	12	r.a	r.a	PROPN
ejpam-3157	284	13	.	.	PROPN
ejpam-3157	284	14	luettich	luettich	PROPN
ejpam-3157	284	15	,	,	PUNCT
ejpam-3157	284	16	two	two	NUM
ejpam-3157	284	17	dimensional	dimensional	ADJ
ejpam-3157	284	18	dispersion	dispersion	NOUN
ejpam-3157	284	19	analyses	analysis	NOUN
ejpam-3157	284	20	of	of	ADP
ejpam-3157	284	21	finite	finite	ADJ
ejpam-3157	284	22	element	element	NOUN
ejpam-3157	284	23	approximations	approximation	NOUN
ejpam-3157	284	24	to	to	ADP
ejpam-3157	284	25	the	the	DET
ejpam-3157	284	26	shallow	shallow	ADJ
ejpam-3157	284	27	water	water	NOUN
ejpam-3157	284	28	equations	equation	NOUN
ejpam-3157	284	29	international	international	PROPN
ejpam-3157	284	30	journal	journal	PROPN
ejpam-3157	284	31	for	for	ADP
ejpam-3157	284	32	numerical	numerical	ADJ
ejpam-3157	284	33	methods	method	NOUN
ejpam-3157	284	34	in	in	ADP
ejpam-3157	284	35	fluids	fluid	NOUN
ejpam-3157	284	36	,	,	PUNCT
ejpam-3157	284	37	45:715–749	45:715–749	PROPN
ejpam-3157	284	38	,	,	PUNCT
ejpam-3157	284	39	2004	2004	NUM
ejpam-3157	284	40	.	.	PUNCT
ejpam-3157	285	1	[	[	X
ejpam-3157	285	2	6	6	NUM
ejpam-3157	285	3	]	]	X
ejpam-3157	285	4	m.l	m.l	PROPN
ejpam-3157	285	5	.	.	PROPN
ejpam-3157	285	6	batteen	batteen	PROPN
ejpam-3157	285	7	,	,	PUNCT
ejpam-3157	286	1	y.-j	y.-j	PROPN
ejpam-3157	286	2	.	.	PROPN
ejpam-3157	286	3	han	han	PROPN
ejpam-3157	286	4	,	,	PUNCT
ejpam-3157	286	5	on	on	ADP
ejpam-3157	286	6	the	the	DET
ejpam-3157	286	7	computational	computational	ADJ
ejpam-3157	286	8	noise	noise	NOUN
ejpam-3157	286	9	of	of	ADP
ejpam-3157	286	10	finite	finite	ADJ
ejpam-3157	286	11	-	-	PUNCT
ejpam-3157	286	12	difference	difference	NOUN
ejpam-3157	286	13	schemes	scheme	NOUN
ejpam-3157	286	14	used	use	VERB
ejpam-3157	286	15	in	in	ADP
ejpam-3157	286	16	ocean	ocean	NOUN
ejpam-3157	286	17	models	model	NOUN
ejpam-3157	286	18	tellus	tellus	ADJ
ejpam-3157	286	19	,	,	PUNCT
ejpam-3157	286	20	33:387–396	33:387–396	NUM
ejpam-3157	286	21	,	,	PUNCT
ejpam-3157	286	22	1981	1981	NUM
ejpam-3157	286	23	.	.	PUNCT
ejpam-3157	287	1	[	[	X
ejpam-3157	287	2	7	7	NUM
ejpam-3157	287	3	]	]	X
ejpam-3157	287	4	j.-m	j.-m	NOUN
ejpam-3157	287	5	.	.	PUNCT
ejpam-3157	288	1	beckers	beckers	PROPN
ejpam-3157	288	2	and	and	CCONJ
ejpam-3157	288	3	e.	e.	PROPN
ejpam-3157	288	4	deleersnijder	deleersnijder	PROPN
ejpam-3157	288	5	,	,	PUNCT
ejpam-3157	288	6	stability	stability	NOUN
ejpam-3157	288	7	of	of	ADP
ejpam-3157	288	8	a	a	DET
ejpam-3157	288	9	fbtcs	fbtcs	NOUN
ejpam-3157	288	10	scheme	scheme	NOUN
ejpam-3157	288	11	applied	apply	VERB
ejpam-3157	288	12	to	to	ADP
ejpam-3157	288	13	the	the	DET
ejpam-3157	288	14	propagation	propagation	NOUN
ejpam-3157	288	15	of	of	ADP
ejpam-3157	288	16	shallow	shallow	ADJ
ejpam-3157	288	17	-	-	PUNCT
ejpam-3157	288	18	water	water	NOUN
ejpam-3157	288	19	inertia	inertia	NOUN
ejpam-3157	288	20	-	-	PUNCT
ejpam-3157	288	21	gravity	gravity	NOUN
ejpam-3157	288	22	waves	wave	NOUN
ejpam-3157	288	23	on	on	ADP
ejpam-3157	288	24	various	various	ADJ
ejpam-3157	288	25	space	space	NOUN
ejpam-3157	288	26	grids	grid	NOUN
ejpam-3157	288	27	.	.	PUNCT
ejpam-3157	289	1	journal	journal	PROPN
ejpam-3157	289	2	of	of	ADP
ejpam-3157	289	3	computational	computational	ADJ
ejpam-3157	289	4	physics	physics	NOUN
ejpam-3157	289	5	,	,	PUNCT
ejpam-3157	289	6	108:95–104	108:95–104	NUM
ejpam-3157	289	7	,	,	PUNCT
ejpam-3157	289	8	1993	1993	NUM
ejpam-3157	289	9	.	.	PUNCT
ejpam-3157	290	1	[	[	X
ejpam-3157	290	2	8	8	NUM
ejpam-3157	290	3	]	]	SYM
ejpam-3157	290	4	p.-e	p.-e	NOUN
ejpam-3157	290	5	.	.	PUNCT
ejpam-3157	291	1	bernard	bernard	PROPN
ejpam-3157	291	2	,	,	PUNCT
ejpam-3157	291	3	j.-f	j.-f	PROPN
ejpam-3157	291	4	.	.	PUNCT
ejpam-3157	292	1	remacle	remacle	PROPN
ejpam-3157	292	2	,	,	PUNCT
ejpam-3157	292	3	v.	v.	PROPN
ejpam-3157	292	4	legat	legat	PROPN
ejpam-3157	292	5	and	and	CCONJ
ejpam-3157	292	6	e.	e.	PROPN
ejpam-3157	292	7	deleersnijder	deleersnijder	PROPN
ejpam-3157	292	8	,	,	PUNCT
ejpam-3157	292	9	dispersion	dispersion	NOUN
ejpam-3157	292	10	analysis	analysis	NOUN
ejpam-3157	292	11	of	of	ADP
ejpam-3157	292	12	discontinuous	discontinuous	ADJ
ejpam-3157	292	13	galerkin	galerkin	ADJ
ejpam-3157	292	14	schemes	scheme	NOUN
ejpam-3157	292	15	applied	apply	VERB
ejpam-3157	292	16	to	to	ADP
ejpam-3157	292	17	poincaré	poincaré	ADJ
ejpam-3157	292	18	,	,	PUNCT
ejpam-3157	292	19	kelvin	kelvin	PROPN
ejpam-3157	292	20	and	and	CCONJ
ejpam-3157	292	21	rossby	rossby	ADJ
ejpam-3157	292	22	waves	wave	NOUN
ejpam-3157	292	23	journal	journal	NOUN
ejpam-3157	292	24	of	of	ADP
ejpam-3157	292	25	scientific	scientific	ADJ
ejpam-3157	292	26	computing	computing	NOUN
ejpam-3157	292	27	,	,	PUNCT
ejpam-3157	292	28	34:26–47	34:26–47	NUM
ejpam-3157	292	29	.	.	PUNCT
ejpam-3157	293	1	[	[	X
ejpam-3157	293	2	9	9	NUM
ejpam-3157	293	3	]	]	X
ejpam-3157	293	4	b.	b.	PROPN
ejpam-3157	293	5	cushman	cushman	PROPN
ejpam-3157	293	6	-	-	PUNCT
ejpam-3157	293	7	roisin	roisin	PROPN
ejpam-3157	293	8	,	,	PUNCT
ejpam-3157	293	9	introduction	introduction	NOUN
ejpam-3157	293	10	to	to	ADP
ejpam-3157	293	11	geophysical	geophysical	ADJ
ejpam-3157	293	12	fluid	fluid	NOUN
ejpam-3157	293	13	dynamics	dynamic	NOUN
ejpam-3157	293	14	prentice	prentice	NOUN
ejpam-3157	293	15	-	-	PUNCT
ejpam-3157	293	16	hall	hall	NOUN
ejpam-3157	293	17	,	,	PUNCT
ejpam-3157	293	18	1994	1994	NUM
ejpam-3157	293	19	.	.	PUNCT
ejpam-3157	294	1	[	[	X
ejpam-3157	294	2	10	10	NUM
ejpam-3157	294	3	]	]	X
ejpam-3157	294	4	p.g	p.g	PROPN
ejpam-3157	294	5	.	.	PROPN
ejpam-3157	294	6	ciarlet	ciarlet	PROPN
ejpam-3157	294	7	,	,	PUNCT
ejpam-3157	294	8	introduction	introduction	NOUN
ejpam-3157	294	9	à	à	PROPN
ejpam-3157	294	10	l’analyse	l’analyse	NOUN
ejpam-3157	294	11	numérique	numérique	NOUN
ejpam-3157	294	12	matricielle	matricielle	NOUN
ejpam-3157	294	13	et	et	NOUN
ejpam-3157	294	14	à	à	PROPN
ejpam-3157	294	15	l’optimisation	l’optimisation	PROPN
ejpam-3157	294	16	masson	masson	PROPN
ejpam-3157	294	17	,	,	PUNCT
ejpam-3157	294	18	paris	paris	PROPN
ejpam-3157	294	19	,	,	PUNCT
ejpam-3157	294	20	1990	1990	NUM
ejpam-3157	294	21	.	.	PUNCT
ejpam-3157	295	1	[	[	X
ejpam-3157	295	2	11	11	NUM
ejpam-3157	295	3	]	]	X
ejpam-3157	295	4	j.k	j.k	PROPN
ejpam-3157	295	5	.	.	PROPN
ejpam-3157	295	6	dukowicz	dukowicz	PROPN
ejpam-3157	295	7	mesh	mesh	NOUN
ejpam-3157	295	8	effects	effect	NOUN
ejpam-3157	295	9	for	for	ADP
ejpam-3157	295	10	rossby	rossby	ADJ
ejpam-3157	295	11	waves	wave	NOUN
ejpam-3157	295	12	journal	journal	NOUN
ejpam-3157	295	13	of	of	ADP
ejpam-3157	295	14	computational	computational	ADJ
ejpam-3157	295	15	physics	physics	NOUN
ejpam-3157	295	16	,	,	PUNCT
ejpam-3157	295	17	119	119	NUM
ejpam-3157	295	18	:	:	PUNCT
ejpam-3157	295	19	188–194	188–194	NUM
ejpam-3157	295	20	,	,	PUNCT
ejpam-3157	295	21	1995	1995	NUM
ejpam-3157	295	22	.	.	PUNCT
ejpam-3157	296	1	[	[	X
ejpam-3157	296	2	12	12	NUM
ejpam-3157	296	3	]	]	X
ejpam-3157	296	4	r.	r.	PROPN
ejpam-3157	296	5	glowinski	glowinski	PROPN
ejpam-3157	296	6	,	,	PUNCT
ejpam-3157	296	7	numerecal	numerecal	ADJ
ejpam-3157	296	8	methods	method	NOUN
ejpam-3157	296	9	for	for	ADP
ejpam-3157	296	10	nolinear	nolinear	ADJ
ejpam-3157	296	11	variational	variational	ADJ
ejpam-3157	296	12	problems	problem	NOUN
ejpam-3157	296	13	.	.	PUNCT
ejpam-3157	297	1	springer	springer	NOUN
ejpam-3157	297	2	-verlag	-verlag	PROPN
ejpam-3157	297	3	,	,	PUNCT
ejpam-3157	297	4	1982	1982	NUM
ejpam-3157	297	5	.	.	PUNCT
ejpam-3157	298	1	[	[	X
ejpam-3157	298	2	13	13	NUM
ejpam-3157	298	3	]	]	X
ejpam-3157	298	4	g.	g.	PROPN
ejpam-3157	298	5	guyot	guyot	PROPN
ejpam-3157	298	6	,	,	PUNCT
ejpam-3157	298	7	cours	cours	PROPN
ejpam-3157	298	8	de	de	X
ejpam-3157	298	9	bioclimatologie	bioclimatologie	PROPN
ejpam-3157	298	10	,	,	PUNCT
ejpam-3157	298	11	chapitre	chapitre	PROPN
ejpam-3157	298	12	ii	ii	PROPN
ejpam-3157	298	13	:	:	PUNCT
ejpam-3157	298	14	echanges	echange	NOUN
ejpam-3157	298	15	de	de	X
ejpam-3157	298	16	chaleur	chaleur	X
ejpam-3157	298	17	et	et	X
ejpam-3157	298	18	de	de	X
ejpam-3157	298	19	masse	masse	PROPN
ejpam-3157	298	20	par	par	PROPN
ejpam-3157	298	21	conduction	conduction	PROPN
ejpam-3157	298	22	et	et	PROPN
ejpam-3157	298	23	convection	convection	NOUN
ejpam-3157	298	24	’	'	PUNCT
ejpam-3157	298	25	,	,	PUNCT
ejpam-3157	298	26	inra	inra	NOUN
ejpam-3157	298	27	bioclimatologie	bioclimatologie	NOUN
ejpam-3157	298	28	,	,	PUNCT
ejpam-3157	298	29	bp	bp	PROPN
ejpam-3157	298	30	.	.	PROPN
ejpam-3157	298	31	91	91	NUM
ejpam-3157	298	32	,	,	PUNCT
ejpam-3157	298	33	montfavet	montfavet	NOUN
ejpam-3157	298	34	cedex	cedex	NOUN
ejpam-3157	298	35	,	,	PUNCT
ejpam-3157	298	36	1992	1992	NUM
ejpam-3157	298	37	.	.	PUNCT
ejpam-3157	299	1	[	[	X
ejpam-3157	299	2	14	14	NUM
ejpam-3157	299	3	]	]	X
ejpam-3157	299	4	m.	m.	NOUN
ejpam-3157	299	5	boulbrachene	boulbrachene	NOUN
ejpam-3157	299	6	,	,	PUNCT
ejpam-3157	299	7	m.	m.	NOUN
ejpam-3157	299	8	haiour	haiour	PROPN
ejpam-3157	299	9	,	,	PUNCT
ejpam-3157	299	10	the	the	DET
ejpam-3157	299	11	finite	finite	PROPN
ejpam-3157	299	12	element	element	NOUN
ejpam-3157	299	13	approximation	approximation	NOUN
ejpam-3157	299	14	of	of	ADP
ejpam-3157	299	15	hamilton	hamilton	PROPN
ejpam-3157	299	16	jacobi	jacobi	PROPN
ejpam-3157	299	17	bellman	bellman	PROPN
ejpam-3157	299	18	equations	equation	NOUN
ejpam-3157	299	19	,	,	PUNCT
ejpam-3157	299	20	comput	comput	NOUN
ejpam-3157	299	21	.	.	PUNCT
ejpam-3157	300	1	math	math	NOUN
ejpam-3157	300	2	.	.	PUNCT
ejpam-3157	301	1	appl	appl	PROPN
ejpam-3157	301	2	.	.	PUNCT
ejpam-3157	302	1	(	(	PUNCT
ejpam-3157	302	2	2001	2001	NUM
ejpam-3157	302	3	)	)	PUNCT
ejpam-3157	302	4	41	41	NUM
ejpam-3157	302	5	,	,	PUNCT
ejpam-3157	302	6	993	993	NUM
ejpam-3157	302	7	-	-	SYM
ejpam-3157	302	8	1007	1007	NUM
ejpam-3157	302	9	.	.	PUNCT
ejpam-3157	303	1	[	[	X
ejpam-3157	303	2	15	15	NUM
ejpam-3157	303	3	]	]	X
ejpam-3157	303	4	r.	r.	PROPN
ejpam-3157	303	5	haxaire	haxaire	PROPN
ejpam-3157	303	6	,	,	PUNCT
ejpam-3157	303	7	‘	'	PUNCT
ejpam-3157	303	8	caractérisation	caractérisation	NOUN
ejpam-3157	303	9	et	et	NOUN
ejpam-3157	303	10	modélisation	modélisation	PROPN
ejpam-3157	303	11	des	des	PROPN
ejpam-3157	303	12	ecoulements	ecoulements	PROPN
ejpam-3157	303	13	d’air	d’air	PROPN
ejpam-3157	303	14	dans	dans	PROPN
ejpam-3157	303	15	une	une	PROPN
ejpam-3157	303	16	serre	serre	PROPN
ejpam-3157	303	17	’	'	PUNCT
ejpam-3157	303	18	,	,	PUNCT
ejpam-3157	303	19	thèse	thèse	PROPN
ejpam-3157	303	20	de	de	X
ejpam-3157	303	21	doctorat	doctorat	PROPN
ejpam-3157	303	22	de	de	X
ejpam-3157	303	23	l’université	l’université	PROPN
ejpam-3157	303	24	de	de	X
ejpam-3157	303	25	nice	nice	PROPN
ejpam-3157	303	26	,	,	PUNCT
ejpam-3157	303	27	france	france	PROPN
ejpam-3157	303	28	,	,	PUNCT
ejpam-3157	303	29	1999	1999	NUM
ejpam-3157	303	30	.	.	PUNCT
ejpam-3157	304	1	[	[	X
ejpam-3157	304	2	16	16	NUM
ejpam-3157	304	3	]	]	PUNCT
ejpam-3157	304	4	a.	a.	NOUN
ejpam-3157	304	5	majda	majda	NOUN
ejpam-3157	304	6	.	.	PUNCT
ejpam-3157	305	1	introduction	introduction	NOUN
ejpam-3157	305	2	to	to	ADP
ejpam-3157	305	3	pde	pde	VERB
ejpam-3157	305	4	’s	’s	PART
ejpam-3157	305	5	and	and	CCONJ
ejpam-3157	305	6	waves	wave	NOUN
ejpam-3157	305	7	for	for	ADP
ejpam-3157	305	8	the	the	DET
ejpam-3157	305	9	atmosphere	atmosphere	NOUN
ejpam-3157	305	10	and	and	CCONJ
ejpam-3157	305	11	ocean	ocean	NOUN
ejpam-3157	305	12	.	.	PUNCT
ejpam-3157	306	1	american	american	PROPN
ejpam-3157	306	2	mathematical	mathematical	PROPN
ejpam-3157	306	3	society	society	NOUN
ejpam-3157	306	4	,	,	PUNCT
ejpam-3157	306	5	2003	2003	NUM
ejpam-3157	306	6	.	.	PUNCT
ejpam-3157	307	1	[	[	X
ejpam-3157	307	2	17	17	NUM
ejpam-3157	307	3	]	]	PUNCT
ejpam-3157	307	4	r.nebbali	r.nebbali	X
ejpam-3157	307	5	et	et	PROPN
ejpam-3157	307	6	s.	s.	PROPN
ejpam-3157	307	7	makhlouf	makhlouf	PROPN
ejpam-3157	307	8	,	,	PUNCT
ejpam-3157	307	9	dtermination	dtermination	NOUN
ejpam-3157	307	10	de	de	X
ejpam-3157	307	11	la	la	X
ejpam-3157	307	12	distribution	distribution	NOUN
ejpam-3157	307	13	du	du	PROPN
ejpam-3157	307	14	champ	champ	PROPN
ejpam-3157	307	15	de	de	X
ejpam-3157	307	16	tempratures	tempratures	PROPN
ejpam-3157	307	17	dans	dans	X
ejpam-3157	307	18	le	le	X
ejpam-3157	307	19	sol	sol	PROPN
ejpam-3157	307	20	,	,	PUNCT
ejpam-3157	307	21	par	par	PROPN
ejpam-3157	307	22	un	un	PROPN
ejpam-3157	307	23	modle	modle	PROPN
ejpam-3157	307	24	semi-analytique.conditions	semi-analytique.conditions	PROPN
ejpam-3157	307	25	aux	aux	PROPN
ejpam-3157	307	26	limites	limites	PROPN
ejpam-3157	307	27	pour	pour	PROPN
ejpam-3157	307	28	les	les	X
ejpam-3157	307	29	besoins	besoins	PROPN
ejpam-3157	307	30	de	de	PROPN
ejpam-3157	307	31	simulation	simulation	PROPN
ejpam-3157	307	32	d.une	d.une	PROPN
ejpam-3157	307	33	serre	serre	X
ejpam-3157	307	34	de	de	X
ejpam-3157	307	35	culture	culture	NOUN
ejpam-3157	307	36	,	,	PUNCT
ejpam-3157	307	37	universit	universit	PROPN
ejpam-3157	307	38	mouloud	mouloud	PROPN
ejpam-3157	307	39	mammeri	mammeri	PROPN
ejpam-3157	307	40	,	,	PUNCT
ejpam-3157	307	41	15000	15000	NUM
ejpam-3157	307	42	tizi	tizi	NOUN
ejpam-3157	307	43	-	-	PUNCT
ejpam-3157	307	44	ouzou	ouzou	NOUN
ejpam-3157	307	45	,	,	PUNCT
ejpam-3157	307	46	algrie	algrie	ADJ
ejpam-3157	307	47	.	.	PUNCT
ejpam-3157	308	1	2000	2000	NUM
ejpam-3157	308	2	.	.	PUNCT
ejpam-3157	309	1	[	[	X
ejpam-3157	309	2	18	18	NUM
ejpam-3157	309	3	]	]	X
ejpam-3157	309	4	d.a	d.a	PROPN
ejpam-3157	309	5	.	.	PROPN
ejpam-3157	309	6	randall	randall	PROPN
ejpam-3157	309	7	geostrophic	geostrophic	PROPN
ejpam-3157	309	8	adjustment	adjustment	NOUN
ejpam-3157	309	9	and	and	CCONJ
ejpam-3157	309	10	the	the	DET
ejpam-3157	309	11	finite	finite	ADJ
ejpam-3157	309	12	-	-	PUNCT
ejpam-3157	309	13	difference	difference	ADJ
ejpam-3157	309	14	shallow	shallow	ADJ
ejpam-3157	309	15	-	-	PUNCT
ejpam-3157	309	16	water	water	NOUN
ejpam-3157	309	17	equations	equation	NOUN
ejpam-3157	309	18	monthly	monthly	ADJ
ejpam-3157	309	19	weather	weather	NOUN
ejpam-3157	309	20	review	review	PROPN
ejpam-3157	309	21	,	,	PUNCT
ejpam-3157	309	22	122:1371–1377	122:1371–1377	NUM
ejpam-3157	309	23	,	,	PUNCT
ejpam-3157	309	24	1994	1994	NUM
ejpam-3157	309	25	.	.	PUNCT
ejpam-3157	310	1	[	[	X
ejpam-3157	310	2	19	19	NUM
ejpam-3157	310	3	]	]	X
ejpam-3157	310	4	v.	v.	ADP
ejpam-3157	310	5	rostand	rostand	ADV
ejpam-3157	310	6	,	,	PUNCT
ejpam-3157	310	7	d.y	d.y	PROPN
ejpam-3157	310	8	.	.	PROPN
ejpam-3157	310	9	le	le	AUX
ejpam-3157	310	10	roux	roux	VERB
ejpam-3157	310	11	raviart	raviart	NOUN
ejpam-3157	310	12	-	-	PUNCT
ejpam-3157	310	13	thomas	thomas	PROPN
ejpam-3157	310	14	and	and	CCONJ
ejpam-3157	310	15	brezzi	brezzi	PROPN
ejpam-3157	310	16	-	-	PUNCT
ejpam-3157	310	17	douglas	douglas	PROPN
ejpam-3157	310	18	-	-	PUNCT
ejpam-3157	310	19	marini	marini	PROPN
ejpam-3157	310	20	finite	finite	PROPN
ejpam-3157	310	21	element	element	NOUN
ejpam-3157	310	22	approximations	approximation	NOUN
ejpam-3157	310	23	of	of	ADP
ejpam-3157	310	24	the	the	DET
ejpam-3157	310	25	shallow	shallow	ADJ
ejpam-3157	310	26	water	water	NOUN
ejpam-3157	310	27	equations	equation	NOUN
ejpam-3157	310	28	international	international	PROPN
ejpam-3157	310	29	journal	journal	PROPN
ejpam-3157	310	30	for	for	ADP
ejpam-3157	310	31	numerical	numerical	ADJ
ejpam-3157	310	32	methods	method	NOUN
ejpam-3157	310	33	in	in	ADP
ejpam-3157	310	34	fluids	fluid	NOUN
ejpam-3157	310	35	,	,	PUNCT
ejpam-3157	310	36	(	(	PUNCT
ejpam-3157	310	37	published	publish	VERB
ejpam-3157	310	38	online	online	ADV
ejpam-3157	310	39	)	)	PUNCT
ejpam-3157	310	40	,	,	PUNCT
ejpam-3157	310	41	doi:10.1002	doi:10.1002	NOUN
ejpam-3157	310	42	/	/	SYM
ejpam-3157	310	43	fld.1668	fld.1668	NOUN
ejpam-3157	310	44	,	,	PUNCT
ejpam-3157	310	45	2007	2007	NUM
ejpam-3157	310	46	.	.	PUNCT
ejpam-3157	311	1	[	[	X
ejpam-3157	311	2	20	20	NUM
ejpam-3157	311	3	]	]	X
ejpam-3157	311	4	l.	l.	PROPN
ejpam-3157	311	5	white	white	PROPN
ejpam-3157	311	6	and	and	CCONJ
ejpam-3157	311	7	e.	e.	PROPN
ejpam-3157	311	8	deleersnijder	deleersnijder	PROPN
ejpam-3157	311	9	.	.	PUNCT
ejpam-3157	312	1	diagnoses	diagnosis	NOUN
ejpam-3157	312	2	of	of	ADP
ejpam-3157	312	3	vertical	vertical	ADJ
ejpam-3157	312	4	transport	transport	NOUN
ejpam-3157	312	5	in	in	ADP
ejpam-3157	312	6	a	a	DET
ejpam-3157	312	7	three	three	NUM
ejpam-3157	312	8	-	-	PUNCT
ejpam-3157	312	9	dimensional	dimensional	ADJ
ejpam-3157	312	10	finiteelement	finiteelement	NOUN
ejpam-3157	312	11	model	model	NOUN
ejpam-3157	312	12	of	of	ADP
ejpam-3157	312	13	the	the	DET
ejpam-3157	312	14	tidal	tidal	ADJ
ejpam-3157	312	15	circulation	circulation	NOUN
ejpam-3157	312	16	around	around	ADP
ejpam-3157	312	17	an	an	DET
ejpam-3157	312	18	island	island	NOUN
ejpam-3157	312	19	.	.	PUNCT
ejpam-3157	313	1	estuarine	estuarine	NOUN
ejpam-3157	313	2	coastal	coastal	ADJ
ejpam-3157	313	3	and	and	CCONJ
ejpam-3157	313	4	shelf	shelf	NOUN
ejpam-3157	313	5	science	science	NOUN
ejpam-3157	313	6	,	,	PUNCT
ejpam-3157	313	7	74:655–669	74:655–669	NUM
ejpam-3157	313	8	,	,	PUNCT
ejpam-3157	313	9	2007	2007	NUM
ejpam-3157	313	10	.	.	PUNCT
ejpam-3157	314	1	127	127	NUM
ejpam-3157	314	2	references	reference	NOUN
ejpam-3157	314	3	128	128	NUM
ejpam-3157	314	4	6	6	NUM
ejpam-3157	314	5	.	.	PUNCT
ejpam-3157	314	6	annex	annex	VERB
ejpam-3157	314	7	6.1	6.1	NUM
ejpam-3157	314	8	.	.	PUNCT
ejpam-3157	315	1	figures	figure	NOUN
ejpam-3157	315	2	of	of	ADP
ejpam-3157	315	3	without	without	ADP
ejpam-3157	315	4	initialization	initialization	NOUN
ejpam-3157	315	5	results	result	NOUN
ejpam-3157	315	6	figure	figure	VERB
ejpam-3157	315	7	1	1	NUM
ejpam-3157	315	8	:	:	PUNCT
ejpam-3157	315	9	temperature	temperature	NOUN
ejpam-3157	315	10	evolution	evolution	NOUN
ejpam-3157	315	11	in	in	ADP
ejpam-3157	315	12	the	the	DET
ejpam-3157	315	13	soil	soil	NOUN
ejpam-3157	315	14	for	for	ADP
ejpam-3157	315	15	different	different	ADJ
ejpam-3157	315	16	depths	depth	NOUN
ejpam-3157	315	17	.	.	PUNCT
ejpam-3157	316	1	figure	figure	VERB
ejpam-3157	316	2	2	2	NUM
ejpam-3157	316	3	:	:	PUNCT
ejpam-3157	316	4	comparison	comparison	NOUN
ejpam-3157	316	5	after	after	ADP
ejpam-3157	316	6	12h	12h	NUM
ejpam-3157	316	7	.	.	PUNCT
ejpam-3157	317	1	6.2	6.2	NUM
ejpam-3157	317	2	.	.	PUNCT
ejpam-3157	317	3	figures	figure	NOUN
ejpam-3157	317	4	of	of	ADP
ejpam-3157	317	5	with	with	ADP
ejpam-3157	317	6	initialization	initialization	NOUN
ejpam-3157	317	7	results	result	NOUN
ejpam-3157	317	8	references	reference	NOUN
ejpam-3157	317	9	129	129	NUM
ejpam-3157	317	10	figure	figure	NOUN
ejpam-3157	317	11	3	3	NUM
ejpam-3157	317	12	:	:	PUNCT
ejpam-3157	317	13	comparison	comparison	NOUN
ejpam-3157	317	14	after	after	ADP
ejpam-3157	317	15	24h	24h	NOUN
ejpam-3157	317	16	.	.	PUNCT
ejpam-3157	318	1	figure	figure	VERB
ejpam-3157	318	2	4	4	NUM
ejpam-3157	318	3	:	:	PUNCT
ejpam-3157	318	4	comparison	comparison	NOUN
ejpam-3157	318	5	after	after	ADP
ejpam-3157	318	6	36h	36h	NUM
ejpam-3157	318	7	.	.	PUNCT
ejpam-3157	319	1	references	reference	NOUN
ejpam-3157	319	2	130	130	NUM
ejpam-3157	319	3	figure	figure	NOUN
ejpam-3157	319	4	5	5	NUM
ejpam-3157	319	5	:	:	PUNCT
ejpam-3157	319	6	comparison	comparison	NOUN
ejpam-3157	319	7	after	after	ADP
ejpam-3157	319	8	48h	48h	NUM
ejpam-3157	319	9	.	.	PUNCT
ejpam-3157	320	1	figure	figure	VERB
ejpam-3157	320	2	6	6	NUM
ejpam-3157	320	3	:	:	PUNCT
ejpam-3157	320	4	comparison	comparison	NOUN
ejpam-3157	320	5	after	after	ADP
ejpam-3157	320	6	60h	60h	NUM
ejpam-3157	320	7	.	.	PUNCT
ejpam-3157	321	1	references	reference	NOUN
ejpam-3157	321	2	131	131	NUM
ejpam-3157	321	3	figure	figure	NOUN
ejpam-3157	321	4	7	7	NUM
ejpam-3157	321	5	:	:	PUNCT
ejpam-3157	321	6	comparison	comparison	NOUN
ejpam-3157	321	7	after	after	ADP
ejpam-3157	321	8	72h	72h	NUM
ejpam-3157	321	9	.	.	PUNCT
ejpam-3157	321	10	figure	figure	NOUN
ejpam-3157	321	11	8	8	NUM
ejpam-3157	321	12	:	:	PUNCT
ejpam-3157	321	13	comparison	comparison	NOUN
ejpam-3157	321	14	after	after	ADP
ejpam-3157	321	15	84h	84h	NOUN
ejpam-3157	321	16	.	.	PUNCT
ejpam-3157	322	1	references	reference	NOUN
ejpam-3157	322	2	132	132	NUM
ejpam-3157	322	3	figure	figure	NOUN
ejpam-3157	322	4	9	9	NUM
ejpam-3157	322	5	:	:	PUNCT
ejpam-3157	322	6	comparison	comparison	NOUN
ejpam-3157	322	7	after	after	ADP
ejpam-3157	322	8	96h	96h	PROPN
ejpam-3157	322	9	.	.	PUNCT
ejpam-3157	323	1	figure	figure	VERB
ejpam-3157	323	2	10	10	NUM
ejpam-3157	323	3	:	:	PUNCT
ejpam-3157	323	4	comparison	comparison	NOUN
ejpam-3157	323	5	after	after	ADP
ejpam-3157	323	6	108h	108h	NUM
ejpam-3157	323	7	.	.	PUNCT
ejpam-3157	324	1	references	reference	NOUN
ejpam-3157	324	2	133	133	NUM
ejpam-3157	324	3	figure	figure	NOUN
ejpam-3157	324	4	11	11	NUM
ejpam-3157	324	5	:	:	PUNCT
ejpam-3157	324	6	comparison	comparison	NOUN
ejpam-3157	324	7	after	after	ADP
ejpam-3157	324	8	12h	12h	NUM
ejpam-3157	324	9	.	.	PUNCT
ejpam-3157	325	1	figure	figure	NOUN
ejpam-3157	325	2	12	12	NUM
ejpam-3157	325	3	:	:	PUNCT
ejpam-3157	325	4	comparison	comparison	NOUN
ejpam-3157	325	5	after	after	ADP
ejpam-3157	325	6	24h	24h	NOUN
ejpam-3157	325	7	.	.	PUNCT
ejpam-3157	326	1	references	reference	NOUN
ejpam-3157	326	2	134	134	NUM
ejpam-3157	326	3	figure	figure	NOUN
ejpam-3157	326	4	13	13	NUM
ejpam-3157	326	5	:	:	PUNCT
ejpam-3157	326	6	comparison	comparison	NOUN
ejpam-3157	326	7	after	after	ADP
ejpam-3157	326	8	36h	36h	NUM
ejpam-3157	326	9	.	.	PUNCT
ejpam-3157	327	1	figure	figure	NOUN
ejpam-3157	327	2	14	14	NUM
ejpam-3157	327	3	:	:	PUNCT
ejpam-3157	327	4	comparison	comparison	NOUN
ejpam-3157	327	5	after	after	ADP
ejpam-3157	327	6	48h	48h	NOUN
ejpam-3157	327	7	.	.	PUNCT
ejpam-3157	328	1	references	reference	NOUN
ejpam-3157	328	2	135	135	NUM
ejpam-3157	328	3	figure	figure	NOUN
ejpam-3157	328	4	15	15	NUM
ejpam-3157	328	5	:	:	PUNCT
ejpam-3157	328	6	comparison	comparison	NOUN
ejpam-3157	328	7	after	after	ADP
ejpam-3157	328	8	60h	60h	NUM
ejpam-3157	328	9	.	.	PUNCT
ejpam-3157	329	1	figure	figure	VERB
ejpam-3157	329	2	16	16	NUM
ejpam-3157	329	3	:	:	PUNCT
ejpam-3157	329	4	comparison	comparison	NOUN
ejpam-3157	329	5	after	after	ADP
ejpam-3157	329	6	72h	72h	NUM
ejpam-3157	329	7	.	.	PUNCT
ejpam-3157	330	1	references	reference	NOUN
ejpam-3157	330	2	136	136	NUM
ejpam-3157	330	3	figure	figure	NOUN
ejpam-3157	330	4	17	17	NUM
ejpam-3157	330	5	:	:	PUNCT
ejpam-3157	330	6	comparison	comparison	NOUN
ejpam-3157	330	7	after	after	ADP
ejpam-3157	330	8	84h	84h	NOUN
ejpam-3157	330	9	.	.	PUNCT
ejpam-3157	331	1	figure	figure	NOUN
ejpam-3157	331	2	18	18	NUM
ejpam-3157	331	3	:	:	PUNCT
ejpam-3157	331	4	comparison	comparison	NOUN
ejpam-3157	331	5	after	after	ADP
ejpam-3157	331	6	96h	96h	NOUN
ejpam-3157	331	7	.	.	PUNCT
ejpam-3157	332	1	references	reference	NOUN
ejpam-3157	332	2	137	137	NUM
ejpam-3157	332	3	figure	figure	NOUN
ejpam-3157	332	4	19	19	NUM
ejpam-3157	332	5	:	:	PUNCT
ejpam-3157	332	6	comparison	comparison	NOUN
ejpam-3157	332	7	after	after	ADP
ejpam-3157	332	8	108h	108h	NUM
ejpam-3157	332	9	.	.	PUNCT