id	sid	tid	token	lemma	pos
ejpam-3538	1	1	european	european	PROPN
ejpam-3538	1	2	journal	journal	PROPN
ejpam-3538	1	3	of	of	ADP
ejpam-3538	1	4	pure	pure	ADJ
ejpam-3538	1	5	and	and	CCONJ
ejpam-3538	1	6	applied	apply	VERB
ejpam-3538	1	7	mathematics	mathematic	NOUN
ejpam-3538	1	8	vol	vol	NOUN
ejpam-3538	1	9	.	.	PROPN
ejpam-3538	2	1	12	12	NUM
ejpam-3538	2	2	,	,	PUNCT
ejpam-3538	2	3	no	no	INTJ
ejpam-3538	2	4	.	.	NOUN
ejpam-3538	2	5	4	4	NUM
ejpam-3538	2	6	,	,	PUNCT
ejpam-3538	2	7	2019	2019	NUM
ejpam-3538	2	8	,	,	PUNCT
ejpam-3538	2	9	1464	1464	NUM
ejpam-3538	2	10	-	-	SYM
ejpam-3538	2	11	1482	1482	NUM
ejpam-3538	2	12	issn	issn	PROPN
ejpam-3538	2	13	1307	1307	NUM
ejpam-3538	2	14	-	-	SYM
ejpam-3538	2	15	5543	5543	NUM
ejpam-3538	2	16	–	–	PUNCT
ejpam-3538	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3538	2	18	published	publish	VERB
ejpam-3538	2	19	by	by	ADP
ejpam-3538	2	20	new	new	PROPN
ejpam-3538	2	21	york	york	PROPN
ejpam-3538	2	22	business	business	PROPN
ejpam-3538	2	23	global	global	PROPN
ejpam-3538	2	24	the	the	DET
ejpam-3538	2	25	higher	high	ADJ
ejpam-3538	2	26	-	-	PUNCT
ejpam-3538	2	27	order	order	NOUN
ejpam-3538	2	28	cese	cese	NOUN
ejpam-3538	2	29	method	method	NOUN
ejpam-3538	2	30	for	for	ADP
ejpam-3538	2	31	two	two	NUM
ejpam-3538	2	32	-	-	PUNCT
ejpam-3538	2	33	dimensional	dimensional	ADJ
ejpam-3538	2	34	shallow	shallow	ADJ
ejpam-3538	2	35	water	water	NOUN
ejpam-3538	2	36	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-3538	2	37	equations	equation	NOUN
ejpam-3538	2	38	sidrah	sidrah	PROPN
ejpam-3538	2	39	ahmed1,∗	ahmed1,∗	PROPN
ejpam-3538	2	40	,	,	PUNCT
ejpam-3538	2	41	saqib	saqib	NOUN
ejpam-3538	2	42	zia2	zia2	PROPN
ejpam-3538	2	43	1	1	NUM
ejpam-3538	2	44	mathematical	mathematical	ADJ
ejpam-3538	2	45	sciences	science	NOUN
ejpam-3538	2	46	,	,	PUNCT
ejpam-3538	2	47	sukkur	sukkur	PROPN
ejpam-3538	2	48	iba	iba	PROPN
ejpam-3538	2	49	uniersity	uniersity	PROPN
ejpam-3538	2	50	,	,	PUNCT
ejpam-3538	2	51	sukkur	sukkur	PROPN
ejpam-3538	2	52	,	,	PUNCT
ejpam-3538	2	53	pakistan	pakistan	PROPN
ejpam-3538	2	54	2	2	NUM
ejpam-3538	2	55	department	department	NOUN
ejpam-3538	2	56	of	of	ADP
ejpam-3538	2	57	mathematics	mathematic	NOUN
ejpam-3538	2	58	,	,	PUNCT
ejpam-3538	2	59	comsats	comsats	ADJ
ejpam-3538	2	60	unviversity	unviversity	NOUN
ejpam-3538	2	61	islamabad	islamabad	NOUN
ejpam-3538	2	62	,	,	PUNCT
ejpam-3538	2	63	park	park	NOUN
ejpam-3538	2	64	road	road	PROPN
ejpam-3538	2	65	chak	chak	PROPN
ejpam-3538	2	66	shehzad	shehzad	PROPN
ejpam-3538	2	67	islamabad	islamabad	PROPN
ejpam-3538	2	68	,	,	PUNCT
ejpam-3538	2	69	pakistan	pakistan	PROPN
ejpam-3538	2	70	abstract	abstract	NOUN
ejpam-3538	2	71	.	.	PUNCT
ejpam-3538	3	1	the	the	DET
ejpam-3538	3	2	numerical	numerical	ADJ
ejpam-3538	3	3	solution	solution	NOUN
ejpam-3538	3	4	of	of	ADP
ejpam-3538	3	5	one	one	NUM
ejpam-3538	3	6	and	and	CCONJ
ejpam-3538	3	7	two	two	NUM
ejpam-3538	3	8	dimensional	dimensional	ADJ
ejpam-3538	3	9	shallow	shallow	ADJ
ejpam-3538	3	10	water	water	NOUN
ejpam-3538	3	11	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-3538	3	12	model	model	NOUN
ejpam-3538	3	13	is	be	AUX
ejpam-3538	3	14	obtained	obtain	VERB
ejpam-3538	3	15	using	use	VERB
ejpam-3538	3	16	the	the	DET
ejpam-3538	3	17	4th	4th	ADJ
ejpam-3538	3	18	-	-	PUNCT
ejpam-3538	3	19	order	order	NOUN
ejpam-3538	3	20	conservation	conservation	NOUN
ejpam-3538	3	21	element	element	NOUN
ejpam-3538	3	22	solution	solution	NOUN
ejpam-3538	3	23	element	element	NOUN
ejpam-3538	3	24	method	method	NOUN
ejpam-3538	3	25	(	(	PUNCT
ejpam-3538	3	26	cese	cese	NOUN
ejpam-3538	3	27	)	)	PUNCT
ejpam-3538	3	28	.	.	PUNCT
ejpam-3538	4	1	the	the	DET
ejpam-3538	4	2	method	method	NOUN
ejpam-3538	4	3	is	be	AUX
ejpam-3538	4	4	based	base	VERB
ejpam-3538	4	5	on	on	ADP
ejpam-3538	4	6	unified	unified	ADJ
ejpam-3538	4	7	treatment	treatment	NOUN
ejpam-3538	4	8	of	of	ADP
ejpam-3538	4	9	spatial	spatial	ADJ
ejpam-3538	4	10	and	and	CCONJ
ejpam-3538	4	11	temporal	temporal	ADJ
ejpam-3538	4	12	dimensions	dimension	NOUN
ejpam-3538	4	13	contrary	contrary	ADJ
ejpam-3538	4	14	to	to	ADP
ejpam-3538	4	15	the	the	DET
ejpam-3538	4	16	finite	finite	ADJ
ejpam-3538	4	17	difference	difference	NOUN
ejpam-3538	4	18	and	and	CCONJ
ejpam-3538	4	19	finite	finite	ADJ
ejpam-3538	4	20	volume	volume	NOUN
ejpam-3538	4	21	methods	method	NOUN
ejpam-3538	4	22	.	.	PUNCT
ejpam-3538	5	1	the	the	DET
ejpam-3538	5	2	higher	high	ADJ
ejpam-3538	5	3	-	-	PUNCT
ejpam-3538	5	4	order	order	NOUN
ejpam-3538	5	5	cese	cese	ADJ
ejpam-3538	5	6	scheme	scheme	NOUN
ejpam-3538	5	7	is	be	AUX
ejpam-3538	5	8	constructed	construct	VERB
ejpam-3538	5	9	using	use	VERB
ejpam-3538	5	10	same	same	ADJ
ejpam-3538	5	11	definitions	definition	NOUN
ejpam-3538	5	12	of	of	ADP
ejpam-3538	5	13	conservation	conservation	NOUN
ejpam-3538	5	14	and	and	CCONJ
ejpam-3538	5	15	solution	solution	NOUN
ejpam-3538	5	16	elements	element	NOUN
ejpam-3538	5	17	that	that	PRON
ejpam-3538	5	18	are	be	AUX
ejpam-3538	5	19	used	use	VERB
ejpam-3538	5	20	for	for	ADP
ejpam-3538	5	21	2nd	2nd	ADJ
ejpam-3538	5	22	-	-	PUNCT
ejpam-3538	5	23	order	order	NOUN
ejpam-3538	5	24	cese	cese	ADJ
ejpam-3538	5	25	scheme	scheme	NOUN
ejpam-3538	5	26	formulation	formulation	NOUN
ejpam-3538	5	27	.	.	PUNCT
ejpam-3538	6	1	hence	hence	ADV
ejpam-3538	6	2	it	it	PRON
ejpam-3538	6	3	is	be	AUX
ejpam-3538	6	4	more	more	ADV
ejpam-3538	6	5	convenient	convenient	ADJ
ejpam-3538	6	6	to	to	PART
ejpam-3538	6	7	increase	increase	VERB
ejpam-3538	6	8	accuracy	accuracy	NOUN
ejpam-3538	6	9	of	of	ADP
ejpam-3538	6	10	cese	cese	ADJ
ejpam-3538	6	11	methods	method	NOUN
ejpam-3538	6	12	as	as	SCONJ
ejpam-3538	6	13	compared	compare	VERB
ejpam-3538	6	14	to	to	ADP
ejpam-3538	6	15	the	the	DET
ejpam-3538	6	16	finite	finite	ADJ
ejpam-3538	6	17	difference	difference	NOUN
ejpam-3538	6	18	and	and	CCONJ
ejpam-3538	6	19	finite	finite	ADJ
ejpam-3538	6	20	volume	volume	NOUN
ejpam-3538	6	21	methods	method	NOUN
ejpam-3538	6	22	.	.	PUNCT
ejpam-3538	7	1	moreover	moreover	ADV
ejpam-3538	7	2	the	the	DET
ejpam-3538	7	3	scheme	scheme	NOUN
ejpam-3538	7	4	is	be	AUX
ejpam-3538	7	5	developed	develop	VERB
ejpam-3538	7	6	using	use	VERB
ejpam-3538	7	7	the	the	DET
ejpam-3538	7	8	conservative	conservative	ADJ
ejpam-3538	7	9	formulation	formulation	NOUN
ejpam-3538	7	10	and	and	CCONJ
ejpam-3538	7	11	does	do	AUX
ejpam-3538	7	12	not	not	PART
ejpam-3538	7	13	require	require	VERB
ejpam-3538	7	14	change	change	NOUN
ejpam-3538	7	15	in	in	ADP
ejpam-3538	7	16	the	the	DET
ejpam-3538	7	17	source	source	NOUN
ejpam-3538	7	18	term	term	NOUN
ejpam-3538	7	19	for	for	ADP
ejpam-3538	7	20	treating	treat	VERB
ejpam-3538	7	21	the	the	DET
ejpam-3538	7	22	degenerate	degenerate	ADJ
ejpam-3538	7	23	hyperbolic	hyperbolic	ADJ
ejpam-3538	7	24	nature	nature	NOUN
ejpam-3538	7	25	of	of	ADP
ejpam-3538	7	26	shallow	shallow	ADJ
ejpam-3538	7	27	water	water	NOUN
ejpam-3538	7	28	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-3538	7	29	system	system	NOUN
ejpam-3538	7	30	due	due	ADP
ejpam-3538	7	31	to	to	ADP
ejpam-3538	7	32	divergence	divergence	NOUN
ejpam-3538	7	33	constraint	constraint	NOUN
ejpam-3538	7	34	.	.	PUNCT
ejpam-3538	8	1	the	the	DET
ejpam-3538	8	2	spatial	spatial	ADJ
ejpam-3538	8	3	and	and	CCONJ
ejpam-3538	8	4	temporal	temporal	ADJ
ejpam-3538	8	5	derivatives	derivative	NOUN
ejpam-3538	8	6	have	have	AUX
ejpam-3538	8	7	been	be	AUX
ejpam-3538	8	8	obtained	obtain	VERB
ejpam-3538	8	9	by	by	ADP
ejpam-3538	8	10	incorporating	incorporate	VERB
ejpam-3538	8	11	3rd	3rd	ADJ
ejpam-3538	8	12	-	-	PUNCT
ejpam-3538	8	13	order	order	NOUN
ejpam-3538	8	14	taylor	taylor	NOUN
ejpam-3538	8	15	expansion	expansion	NOUN
ejpam-3538	8	16	and	and	CCONJ
ejpam-3538	8	17	the	the	DET
ejpam-3538	8	18	projection	projection	NOUN
ejpam-3538	8	19	method	method	NOUN
ejpam-3538	8	20	is	be	AUX
ejpam-3538	8	21	used	use	VERB
ejpam-3538	8	22	to	to	PART
ejpam-3538	8	23	handle	handle	VERB
ejpam-3538	8	24	the	the	DET
ejpam-3538	8	25	divergence	divergence	NOUN
ejpam-3538	8	26	constraint	constraint	NOUN
ejpam-3538	8	27	.	.	PUNCT
ejpam-3538	9	1	the	the	DET
ejpam-3538	9	2	accuracy	accuracy	NOUN
ejpam-3538	9	3	and	and	CCONJ
ejpam-3538	9	4	robustness	robustness	NOUN
ejpam-3538	9	5	of	of	ADP
ejpam-3538	9	6	the	the	DET
ejpam-3538	9	7	extended	extended	ADJ
ejpam-3538	9	8	method	method	NOUN
ejpam-3538	9	9	is	be	AUX
ejpam-3538	9	10	tested	test	VERB
ejpam-3538	9	11	by	by	ADP
ejpam-3538	9	12	performing	perform	VERB
ejpam-3538	9	13	benchmark	benchmark	ADJ
ejpam-3538	9	14	numerical	numerical	ADJ
ejpam-3538	9	15	tests	test	NOUN
ejpam-3538	9	16	taken	take	VERB
ejpam-3538	9	17	from	from	ADP
ejpam-3538	9	18	the	the	DET
ejpam-3538	9	19	literature	literature	NOUN
ejpam-3538	9	20	.	.	PUNCT
ejpam-3538	10	1	numerical	numerical	ADJ
ejpam-3538	10	2	experiments	experiment	NOUN
ejpam-3538	10	3	revealed	reveal	VERB
ejpam-3538	10	4	the	the	DET
ejpam-3538	10	5	accuracy	accuracy	NOUN
ejpam-3538	10	6	and	and	CCONJ
ejpam-3538	10	7	computational	computational	ADJ
ejpam-3538	10	8	efficiency	efficiency	NOUN
ejpam-3538	10	9	of	of	ADP
ejpam-3538	10	10	the	the	DET
ejpam-3538	10	11	scheme	scheme	NOUN
ejpam-3538	10	12	.	.	PUNCT
ejpam-3538	11	1	2010	2010	NUM
ejpam-3538	11	2	mathematics	mathematic	NOUN
ejpam-3538	11	3	subject	subject	NOUN
ejpam-3538	11	4	classifications	classification	NOUN
ejpam-3538	11	5	:	:	PUNCT
ejpam-3538	11	6	35l60	35l60	NUM
ejpam-3538	11	7	,	,	PUNCT
ejpam-3538	11	8	35l65	35l65	NUM
ejpam-3538	11	9	,	,	PUNCT
ejpam-3538	11	10	35r05	35r05	NUM
ejpam-3538	11	11	key	key	ADJ
ejpam-3538	11	12	words	word	NOUN
ejpam-3538	11	13	and	and	CCONJ
ejpam-3538	11	14	phrases	phrase	NOUN
ejpam-3538	11	15	:	:	PUNCT
ejpam-3538	11	16	shallow	shallow	ADJ
ejpam-3538	11	17	wanter	wanter	NOUN
ejpam-3538	11	18	equations	equation	NOUN
ejpam-3538	11	19	,	,	PUNCT
ejpam-3538	11	20	hyperbolic	hyperbolic	ADJ
ejpam-3538	11	21	conservation	conservation	NOUN
ejpam-3538	11	22	laws	law	NOUN
ejpam-3538	11	23	,	,	PUNCT
ejpam-3538	11	24	nonlinear	nonlinear	ADJ
ejpam-3538	11	25	partial	partial	ADJ
ejpam-3538	11	26	differential	differential	ADJ
ejpam-3538	11	27	equations	equation	NOUN
ejpam-3538	11	28	1	1	NUM
ejpam-3538	11	29	.	.	PUNCT
ejpam-3538	12	1	introduction	introduction	NOUN
ejpam-3538	12	2	gilman	gilman	PROPN
ejpam-3538	12	3	was	be	AUX
ejpam-3538	12	4	the	the	DET
ejpam-3538	12	5	pioneer	pioneer	NOUN
ejpam-3538	12	6	to	to	PART
ejpam-3538	12	7	introduce	introduce	VERB
ejpam-3538	12	8	the	the	DET
ejpam-3538	12	9	shallow	shallow	ADJ
ejpam-3538	12	10	water	water	NOUN
ejpam-3538	12	11	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-3538	12	12	(	(	PUNCT
ejpam-3538	12	13	hereafter	hereafter	ADV
ejpam-3538	12	14	referred	refer	VERB
ejpam-3538	12	15	as	as	ADP
ejpam-3538	12	16	swmhd	swmhd	ADJ
ejpam-3538	12	17	)	)	PUNCT
ejpam-3538	12	18	system	system	NOUN
ejpam-3538	12	19	to	to	PART
ejpam-3538	12	20	mathematically	mathematically	ADV
ejpam-3538	12	21	model	model	VERB
ejpam-3538	12	22	the	the	DET
ejpam-3538	12	23	physical	physical	ADJ
ejpam-3538	12	24	phenomena	phenomenon	NOUN
ejpam-3538	12	25	in	in	ADP
ejpam-3538	12	26	the	the	DET
ejpam-3538	12	27	solar	solar	ADJ
ejpam-3538	12	28	tachocline	tachocline	NOUN
ejpam-3538	13	1	[	[	X
ejpam-3538	13	2	9	9	NUM
ejpam-3538	13	3	]	]	PUNCT
ejpam-3538	13	4	.	.	PUNCT
ejpam-3538	14	1	the	the	DET
ejpam-3538	14	2	solar	solar	ADJ
ejpam-3538	14	3	tachocline	tachocline	NOUN
ejpam-3538	14	4	is	be	AUX
ejpam-3538	14	5	a	a	DET
ejpam-3538	14	6	thin	thin	ADJ
ejpam-3538	14	7	region	region	NOUN
ejpam-3538	14	8	inside	inside	ADP
ejpam-3538	14	9	a	a	DET
ejpam-3538	14	10	star	star	NOUN
ejpam-3538	14	11	where	where	SCONJ
ejpam-3538	14	12	heat	heat	NOUN
ejpam-3538	14	13	radiates	radiate	VERB
ejpam-3538	14	14	from	from	ADP
ejpam-3538	14	15	the	the	DET
ejpam-3538	14	16	interior	interior	ADJ
ejpam-3538	14	17	zone	zone	NOUN
ejpam-3538	14	18	to	to	ADP
ejpam-3538	14	19	the	the	DET
ejpam-3538	14	20	outer	outer	ADJ
ejpam-3538	14	21	turbulent	turbulent	ADJ
ejpam-3538	14	22	zone	zone	NOUN
ejpam-3538	14	23	predominantly	predominantly	ADV
ejpam-3538	14	24	.	.	PUNCT
ejpam-3538	15	1	its	its	PRON
ejpam-3538	15	2	thickness	thickness	NOUN
ejpam-3538	15	3	ranges	range	VERB
ejpam-3538	15	4	between	between	ADP
ejpam-3538	15	5	2	2	NUM
ejpam-3538	15	6	to	to	PART
ejpam-3538	15	7	5	5	NUM
ejpam-3538	15	8	percentage	percentage	NOUN
ejpam-3538	15	9	of	of	ADP
ejpam-3538	15	10	the	the	DET
ejpam-3538	15	11	solar	solar	ADJ
ejpam-3538	15	12	radius	radius	NOUN
ejpam-3538	15	13	.	.	PUNCT
ejpam-3538	16	1	because	because	SCONJ
ejpam-3538	16	2	of	of	ADP
ejpam-3538	16	3	predominantly	predominantly	ADV
ejpam-3538	16	4	radiative	radiative	ADJ
ejpam-3538	16	5	heat	heat	NOUN
ejpam-3538	16	6	transfer	transfer	NOUN
ejpam-3538	16	7	and	and	CCONJ
ejpam-3538	16	8	its	its	PRON
ejpam-3538	16	9	thin	thin	ADJ
ejpam-3538	16	10	vertical	vertical	ADJ
ejpam-3538	16	11	thickness	thickness	NOUN
ejpam-3538	16	12	the	the	DET
ejpam-3538	16	13	tachocline	tachocline	NOUN
ejpam-3538	16	14	can	can	AUX
ejpam-3538	16	15	be	be	AUX
ejpam-3538	16	16	described	describe	VERB
ejpam-3538	16	17	similarly	similarly	ADV
ejpam-3538	16	18	to	to	ADP
ejpam-3538	16	19	ocean	ocean	NOUN
ejpam-3538	16	20	∗corresponding	∗corresponde	VERB
ejpam-3538	16	21	author	author	NOUN
ejpam-3538	16	22	.	.	PUNCT
ejpam-3538	17	1	doi	doi	NOUN
ejpam-3538	17	2	:	:	PUNCT
ejpam-3538	17	3	https://doi.org/10.29020/nybg.ejpam.v12i4.3538	https://doi.org/10.29020/nybg.ejpam.v12i4.3538	NOUN
ejpam-3538	17	4	email	email	NOUN
ejpam-3538	17	5	addresses	address	NOUN
ejpam-3538	17	6	:	:	PUNCT
ejpam-3538	17	7	dr.sidrah@iba-suk.edu.pk	dr.sidrah@iba-suk.edu.pk	PROPN
ejpam-3538	17	8	(	(	PUNCT
ejpam-3538	17	9	a.	a.	NOUN
ejpam-3538	17	10	sidrah	sidrah	PROPN
ejpam-3538	17	11	)	)	PUNCT
ejpam-3538	17	12	,	,	PUNCT
ejpam-3538	17	13	saqibzia81@hotmail.com	saqibzia81@hotmail.com	PROPN
ejpam-3538	17	14	(	(	PUNCT
ejpam-3538	17	15	z.	z.	PROPN
ejpam-3538	17	16	saqib	saqib	PROPN
ejpam-3538	17	17	)	)	PUNCT
ejpam-3538	17	18	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3538	18	1	1464	1464	NUM
ejpam-3538	18	2	c	c	X
ejpam-3538	18	3	©	©	PROPN
ejpam-3538	18	4	2019	2019	NUM
ejpam-3538	18	5	ejpam	ejpam	NOUN
ejpam-3538	18	6	all	all	DET
ejpam-3538	18	7	rights	right	NOUN
ejpam-3538	18	8	reserved	reserve	VERB
ejpam-3538	18	9	.	.	PUNCT
ejpam-3538	19	1	a.	a.	PROPN
ejpam-3538	19	2	sidrah	sidrah	PROPN
ejpam-3538	19	3	,	,	PUNCT
ejpam-3538	19	4	z.	z.	PROPN
ejpam-3538	19	5	saqib	saqib	PROPN
ejpam-3538	19	6	/	/	SYM
ejpam-3538	19	7	eur	eur	PROPN
ejpam-3538	19	8	.	.	PUNCT
ejpam-3538	20	1	j.	j.	PROPN
ejpam-3538	20	2	pure	pure	PROPN
ejpam-3538	20	3	appl	appl	PROPN
ejpam-3538	20	4	.	.	PROPN
ejpam-3538	20	5	math	math	PROPN
ejpam-3538	20	6	,	,	PUNCT
ejpam-3538	20	7	12	12	NUM
ejpam-3538	20	8	(	(	PUNCT
ejpam-3538	20	9	4	4	NUM
ejpam-3538	20	10	)	)	PUNCT
ejpam-3538	20	11	(	(	PUNCT
ejpam-3538	20	12	2019	2019	NUM
ejpam-3538	20	13	)	)	PUNCT
ejpam-3538	20	14	,	,	PUNCT
ejpam-3538	20	15	1464	1464	NUM
ejpam-3538	20	16	-	-	SYM
ejpam-3538	20	17	1482	1482	NUM
ejpam-3538	20	18	1465	1465	NUM
ejpam-3538	20	19	and	and	CCONJ
ejpam-3538	20	20	atmosphere	atmosphere	NOUN
ejpam-3538	20	21	.	.	PUNCT
ejpam-3538	21	1	this	this	PRON
ejpam-3538	21	2	urges	urge	VERB
ejpam-3538	21	3	the	the	DET
ejpam-3538	21	4	introduction	introduction	NOUN
ejpam-3538	21	5	of	of	ADP
ejpam-3538	21	6	mhd	mhd	NOUN
ejpam-3538	21	7	analogue	analogue	NOUN
ejpam-3538	21	8	of	of	ADP
ejpam-3538	21	9	shallow	shallow	ADJ
ejpam-3538	21	10	water	water	NOUN
ejpam-3538	21	11	system	system	NOUN
ejpam-3538	21	12	(	(	PUNCT
ejpam-3538	21	13	sw	sw	PROPN
ejpam-3538	21	14	)	)	PUNCT
ejpam-3538	21	15	to	to	PART
ejpam-3538	21	16	study	study	VERB
ejpam-3538	21	17	physical	physical	ADJ
ejpam-3538	21	18	processes	process	NOUN
ejpam-3538	21	19	in	in	ADP
ejpam-3538	21	20	solar	solar	ADJ
ejpam-3538	21	21	tachocline	tachocline	NOUN
ejpam-3538	21	22	.	.	PUNCT
ejpam-3538	22	1	although	although	SCONJ
ejpam-3538	22	2	the	the	DET
ejpam-3538	22	3	swmhd	swmhd	ADJ
ejpam-3538	22	4	system	system	NOUN
ejpam-3538	22	5	has	have	AUX
ejpam-3538	22	6	been	be	AUX
ejpam-3538	22	7	derived	derive	VERB
ejpam-3538	22	8	with	with	ADP
ejpam-3538	22	9	one	one	NUM
ejpam-3538	22	10	layer	layer	NOUN
ejpam-3538	22	11	assumption	assumption	NOUN
ejpam-3538	22	12	,	,	PUNCT
ejpam-3538	22	13	it	it	PRON
ejpam-3538	22	14	is	be	AUX
ejpam-3538	22	15	possible	possible	ADJ
ejpam-3538	22	16	to	to	PART
ejpam-3538	22	17	add	add	VERB
ejpam-3538	22	18	little	little	ADJ
ejpam-3538	22	19	changes	change	NOUN
ejpam-3538	22	20	to	to	PART
ejpam-3538	22	21	link	link	VERB
ejpam-3538	22	22	more	more	ADJ
ejpam-3538	22	23	than	than	ADP
ejpam-3538	22	24	one	one	NUM
ejpam-3538	22	25	layer	layer	NOUN
ejpam-3538	22	26	as	as	ADP
ejpam-3538	22	27	in	in	ADP
ejpam-3538	22	28	hydrodynamics	hydrodynamic	NOUN
ejpam-3538	22	29	case	case	NOUN
ejpam-3538	22	30	.	.	PUNCT
ejpam-3538	23	1	this	this	PRON
ejpam-3538	23	2	indeed	indeed	ADV
ejpam-3538	23	3	allows	allow	VERB
ejpam-3538	23	4	to	to	PART
ejpam-3538	23	5	study	study	VERB
ejpam-3538	23	6	several	several	ADJ
ejpam-3538	23	7	kind	kind	NOUN
ejpam-3538	23	8	of	of	ADP
ejpam-3538	23	9	solar	solar	ADJ
ejpam-3538	23	10	dynamics	dynamic	NOUN
ejpam-3538	23	11	within	within	ADP
ejpam-3538	23	12	solar	solar	ADJ
ejpam-3538	23	13	tachocline	tachocline	NOUN
ejpam-3538	23	14	reference	reference	NOUN
ejpam-3538	23	15	their	their	PRON
ejpam-3538	23	16	in	in	ADP
ejpam-3538	23	17	[	[	X
ejpam-3538	23	18	5–7	5–7	NOUN
ejpam-3538	23	19	,	,	PUNCT
ejpam-3538	23	20	9	9	NUM
ejpam-3538	23	21	]	]	PUNCT
ejpam-3538	23	22	.	.	PUNCT
ejpam-3538	24	1	following	follow	VERB
ejpam-3538	24	2	the	the	DET
ejpam-3538	24	3	derivations	derivation	NOUN
ejpam-3538	24	4	by	by	ADP
ejpam-3538	24	5	[	[	X
ejpam-3538	24	6	9	9	NUM
ejpam-3538	24	7	]	]	PUNCT
ejpam-3538	24	8	and	and	CCONJ
ejpam-3538	24	9	rossmanith	rossmanith	VERB
ejpam-3538	24	10	[	[	X
ejpam-3538	24	11	16	16	NUM
ejpam-3538	24	12	]	]	PUNCT
ejpam-3538	24	13	,	,	PUNCT
ejpam-3538	24	14	the	the	DET
ejpam-3538	24	15	swmhd	swmhd	ADJ
ejpam-3538	24	16	system	system	NOUN
ejpam-3538	24	17	is	be	AUX
ejpam-3538	24	18	written	write	VERB
ejpam-3538	24	19	below	below	ADV
ejpam-3538	24	20	for	for	ADP
ejpam-3538	24	21	incompressible	incompressible	ADJ
ejpam-3538	24	22	flow	flow	NOUN
ejpam-3538	24	23	under	under	ADP
ejpam-3538	24	24	magnetohydrodtatic	magnetohydrodtatic	ADJ
ejpam-3538	24	25	equilibrium	equilibrium	NOUN
ejpam-3538	24	26	in	in	ADP
ejpam-3538	24	27	the	the	DET
ejpam-3538	24	28	z	z	NOUN
ejpam-3538	24	29	-	-	NOUN
ejpam-3538	24	30	direction	direction	NOUN
ejpam-3538	24	31	.	.	PUNCT
ejpam-3538	25	1	ρ	ρ	PROPN
ejpam-3538	25	2	≡	≡	PROPN
ejpam-3538	25	3	constant	constant	ADJ
ejpam-3538	25	4	,	,	PUNCT
ejpam-3538	25	5	(	(	PUNCT
ejpam-3538	25	6	1	1	NUM
ejpam-3538	25	7	)	)	PUNCT
ejpam-3538	25	8	∂	∂	NOUN
ejpam-3538	26	1	∂z	∂z	PROPN
ejpam-3538	26	2	(	(	PUNCT
ejpam-3538	26	3	p+	p+	NOUN
ejpam-3538	26	4	‖b‖2	‖b‖2	PROPN
ejpam-3538	26	5	2	2	NUM
ejpam-3538	26	6	)	)	PUNCT
ejpam-3538	26	7	=	=	SYM
ejpam-3538	26	8	ρg	ρg	NOUN
ejpam-3538	26	9	.	.	PUNCT
ejpam-3538	27	1	(	(	PUNCT
ejpam-3538	27	2	2	2	X
ejpam-3538	27	3	)	)	PUNCT
ejpam-3538	27	4	the	the	DET
ejpam-3538	27	5	reader	reader	NOUN
ejpam-3538	27	6	is	be	AUX
ejpam-3538	27	7	referred	refer	VERB
ejpam-3538	27	8	to	to	ADP
ejpam-3538	27	9	[	[	X
ejpam-3538	27	10	10	10	NUM
ejpam-3538	27	11	]	]	PUNCT
ejpam-3538	27	12	for	for	ADP
ejpam-3538	27	13	complete	complete	ADJ
ejpam-3538	27	14	derivation	derivation	NOUN
ejpam-3538	27	15	of	of	ADP
ejpam-3538	27	16	the	the	DET
ejpam-3538	27	17	model	model	NOUN
ejpam-3538	27	18	.	.	PUNCT
ejpam-3538	28	1	the	the	DET
ejpam-3538	28	2	one	one	NUM
ejpam-3538	28	3	dimensional	dimensional	ADJ
ejpam-3538	28	4	swmhd	swmhd	ADJ
ejpam-3538	28	5	equations	equation	NOUN
ejpam-3538	28	6	in	in	ADP
ejpam-3538	28	7	the	the	DET
ejpam-3538	28	8	conservative	conservative	ADJ
ejpam-3538	28	9	formulation	formulation	NOUN
ejpam-3538	28	10	is	be	AUX
ejpam-3538	28	11	given	give	VERB
ejpam-3538	28	12	as	as	ADP
ejpam-3538	28	13	below	below	ADV
ejpam-3538	28	14	:	:	PUNCT
ejpam-3538	29	1	∂q	∂q	PROPN
ejpam-3538	29	2	∂t	∂t	PROPN
ejpam-3538	29	3	+	+	CCONJ
ejpam-3538	29	4	∂f	∂f	PROPN
ejpam-3538	29	5	∂x	∂x	PROPN
ejpam-3538	29	6	+	+	CCONJ
ejpam-3538	29	7	∂g	∂g	PROPN
ejpam-3538	29	8	∂y	∂y	SYM
ejpam-3538	29	9	=	=	SYM
ejpam-3538	29	10	0	0	PROPN
ejpam-3538	29	11	,	,	PUNCT
ejpam-3538	29	12	(	(	PUNCT
ejpam-3538	29	13	3	3	X
ejpam-3538	29	14	)	)	PUNCT
ejpam-3538	29	15	q	q	NOUN
ejpam-3538	30	1	=	=	PUNCT
ejpam-3538	30	2			NOUN
ejpam-3538	31	1	h	h	NOUN
ejpam-3538	31	2	hu1	hu1	PROPN
ejpam-3538	31	3	hu2	hu2	PROPN
ejpam-3538	31	4	hb1	hb1	NOUN
ejpam-3538	31	5	hb2	hb2	PROPN
ejpam-3538	31	6			PROPN
ejpam-3538	31	7	t	t	NOUN
ejpam-3538	31	8	,	,	PUNCT
ejpam-3538	31	9	f	f	PROPN
ejpam-3538	31	10	=	=	PUNCT
ejpam-3538	31	11			NOUN
ejpam-3538	31	12	hu1	hu1	ADP
ejpam-3538	31	13	hu2	hu2	NOUN
ejpam-3538	31	14	1	1	NUM
ejpam-3538	31	15	+	+	CCONJ
ejpam-3538	31	16	1	1	NUM
ejpam-3538	31	17	2gh	2gh	NOUN
ejpam-3538	31	18	2	2	NUM
ejpam-3538	31	19	−	−	NOUN
ejpam-3538	31	20	hb2	hb2	NOUN
ejpam-3538	31	21	1	1	NUM
ejpam-3538	31	22	hu1u2	hu1u2	X
ejpam-3538	31	23	−	−	PROPN
ejpam-3538	31	24	hb1b2	hb1b2	PROPN
ejpam-3538	31	25	0	0	PUNCT
ejpam-3538	32	1	hu1b2	hu1b2	PROPN
ejpam-3538	32	2	−	−	PROPN
ejpam-3538	32	3	hu2b1	hu2b1	NOUN
ejpam-3538	32	4			NOUN
ejpam-3538	32	5	,	,	PUNCT
ejpam-3538	32	6	g	g	NOUN
ejpam-3538	32	7	=	=	PUNCT
ejpam-3538	32	8			ADJ
ejpam-3538	32	9	hu2	hu2	NOUN
ejpam-3538	32	10	hu1u2	hu1u2	X
ejpam-3538	32	11	−	−	PROPN
ejpam-3538	32	12	hb1b2	hb1b2	PROPN
ejpam-3538	32	13	hu2	hu2	NOUN
ejpam-3538	32	14	2	2	NUM
ejpam-3538	33	1	+	+	CCONJ
ejpam-3538	33	2	1	1	NUM
ejpam-3538	33	3	2gh	2gh	NOUN
ejpam-3538	33	4	2	2	NUM
ejpam-3538	33	5	−	−	NOUN
ejpam-3538	33	6	hb2	hb2	NOUN
ejpam-3538	33	7	2	2	NUM
ejpam-3538	33	8	hu2b1	hu2b1	NOUN
ejpam-3538	33	9	−	−	PUNCT
ejpam-3538	33	10	hu1b2	hu1b2	PROPN
ejpam-3538	33	11	0	0	NUM
ejpam-3538	33	12			NOUN
ejpam-3538	33	13	,	,	PUNCT
ejpam-3538	33	14	(	(	PUNCT
ejpam-3538	33	15	4	4	X
ejpam-3538	33	16	)	)	PUNCT
ejpam-3538	33	17	where	where	SCONJ
ejpam-3538	33	18	g	g	PROPN
ejpam-3538	33	19	is	be	AUX
ejpam-3538	33	20	the	the	DET
ejpam-3538	33	21	gravitational	gravitational	ADJ
ejpam-3538	33	22	constant	constant	ADJ
ejpam-3538	33	23	,	,	PUNCT
ejpam-3538	33	24	the	the	DET
ejpam-3538	33	25	variables	variable	NOUN
ejpam-3538	33	26	v1	v1	NOUN
ejpam-3538	33	27	,	,	PUNCT
ejpam-3538	33	28	v2	v2	PROPN
ejpam-3538	33	29	,	,	PUNCT
ejpam-3538	33	30	b1	b1	NOUN
ejpam-3538	33	31	,	,	PUNCT
ejpam-3538	33	32	b2	b2	NOUN
ejpam-3538	33	33	are	be	AUX
ejpam-3538	33	34	the	the	DET
ejpam-3538	33	35	velocity	velocity	NOUN
ejpam-3538	33	36	and	and	CCONJ
ejpam-3538	33	37	magnetic	magnetic	ADJ
ejpam-3538	33	38	field	field	NOUN
ejpam-3538	33	39	components	component	NOUN
ejpam-3538	33	40	respectively	respectively	ADV
ejpam-3538	33	41	and	and	CCONJ
ejpam-3538	33	42	h	h	NOUN
ejpam-3538	33	43	is	be	AUX
ejpam-3538	33	44	the	the	DET
ejpam-3538	33	45	layer	layer	NOUN
ejpam-3538	33	46	depth	depth	NOUN
ejpam-3538	33	47	.	.	PUNCT
ejpam-3538	34	1	this	this	DET
ejpam-3538	34	2	system	system	NOUN
ejpam-3538	34	3	is	be	AUX
ejpam-3538	34	4	degenerate	degenerate	ADJ
ejpam-3538	34	5	hyperbolic	hyperbolic	ADJ
ejpam-3538	34	6	due	due	ADP
ejpam-3538	34	7	to	to	ADP
ejpam-3538	34	8	the	the	DET
ejpam-3538	34	9	last	last	ADJ
ejpam-3538	34	10	equation	equation	NOUN
ejpam-3538	34	11	∇	∇	X
ejpam-3538	34	12	·	·	PUNCT
ejpam-3538	34	13	(	(	PUNCT
ejpam-3538	34	14	hb	hb	X
ejpam-3538	34	15	)	)	PUNCT
ejpam-3538	34	16	=	=	SYM
ejpam-3538	35	1	0	0	X
ejpam-3538	35	2	.	.	PUNCT
ejpam-3538	36	1	hence	hence	ADV
ejpam-3538	36	2	in	in	ADP
ejpam-3538	36	3	order	order	NOUN
ejpam-3538	36	4	to	to	PART
ejpam-3538	36	5	develop	develop	VERB
ejpam-3538	36	6	a	a	DET
ejpam-3538	36	7	riemann	riemann	PROPN
ejpam-3538	36	8	solver	solver	PROPN
ejpam-3538	36	9	for	for	ADP
ejpam-3538	36	10	numerical	numerical	ADJ
ejpam-3538	36	11	solution	solution	NOUN
ejpam-3538	36	12	of	of	ADP
ejpam-3538	36	13	swmhd	swmhd	PROPN
ejpam-3538	36	14	model	model	PROPN
ejpam-3538	36	15	one	one	PRON
ejpam-3538	36	16	must	must	AUX
ejpam-3538	36	17	needs	need	VERB
ejpam-3538	36	18	to	to	PART
ejpam-3538	36	19	relax	relax	VERB
ejpam-3538	36	20	the	the	DET
ejpam-3538	36	21	equation	equation	NOUN
ejpam-3538	36	22	∇	∇	X
ejpam-3538	36	23	·	·	PUNCT
ejpam-3538	36	24	(	(	PUNCT
ejpam-3538	36	25	hb	hb	X
ejpam-3538	36	26	)	)	PUNCT
ejpam-3538	36	27	=	=	SYM
ejpam-3538	37	1	0	0	X
ejpam-3538	37	2	.	.	PUNCT
ejpam-3538	38	1	this	this	PRON
ejpam-3538	38	2	will	will	AUX
ejpam-3538	38	3	need	need	VERB
ejpam-3538	38	4	an	an	DET
ejpam-3538	38	5	addition	addition	NOUN
ejpam-3538	38	6	of	of	ADP
ejpam-3538	38	7	extra	extra	ADJ
ejpam-3538	38	8	source	source	NOUN
ejpam-3538	38	9	term	term	NOUN
ejpam-3538	38	10	as	as	SCONJ
ejpam-3538	38	11	can	can	AUX
ejpam-3538	38	12	be	be	AUX
ejpam-3538	38	13	seen	see	VERB
ejpam-3538	38	14	in	in	ADP
ejpam-3538	38	15	[	[	X
ejpam-3538	38	16	22	22	NUM
ejpam-3538	38	17	]	]	PUNCT
ejpam-3538	38	18	.	.	PUNCT
ejpam-3538	39	1	this	this	PRON
ejpam-3538	39	2	is	be	AUX
ejpam-3538	39	3	one	one	NUM
ejpam-3538	39	4	of	of	ADP
ejpam-3538	39	5	the	the	DET
ejpam-3538	39	6	reasons	reason	NOUN
ejpam-3538	39	7	to	to	PART
ejpam-3538	39	8	present	present	VERB
ejpam-3538	39	9	my	my	PRON
ejpam-3538	39	10	work	work	NOUN
ejpam-3538	39	11	based	base	VERB
ejpam-3538	39	12	on	on	ADP
ejpam-3538	39	13	developing	develop	VERB
ejpam-3538	39	14	a	a	DET
ejpam-3538	39	15	numerical	numerical	ADJ
ejpam-3538	39	16	scheme	scheme	NOUN
ejpam-3538	39	17	without	without	ADP
ejpam-3538	39	18	change	change	NOUN
ejpam-3538	39	19	in	in	ADP
ejpam-3538	39	20	source	source	NOUN
ejpam-3538	39	21	term	term	NOUN
ejpam-3538	39	22	.	.	PUNCT
ejpam-3538	40	1	the	the	DET
ejpam-3538	40	2	one	one	NUM
ejpam-3538	40	3	and	and	CCONJ
ejpam-3538	40	4	two	two	NUM
ejpam-3538	40	5	dimensional	dimensional	ADJ
ejpam-3538	40	6	swmhd	swmhd	ADJ
ejpam-3538	40	7	system	system	NOUN
ejpam-3538	40	8	has	have	AUX
ejpam-3538	40	9	been	be	AUX
ejpam-3538	40	10	solved	solve	VERB
ejpam-3538	40	11	numerically	numerically	ADV
ejpam-3538	40	12	with	with	ADP
ejpam-3538	40	13	different	different	ADJ
ejpam-3538	40	14	schemes	scheme	NOUN
ejpam-3538	40	15	[	[	X
ejpam-3538	40	16	12	12	NUM
ejpam-3538	40	17	,	,	PUNCT
ejpam-3538	40	18	15–17	15–17	NUM
ejpam-3538	40	19	]	]	PUNCT
ejpam-3538	40	20	.	.	PUNCT
ejpam-3538	41	1	due	due	ADP
ejpam-3538	41	2	to	to	ADP
ejpam-3538	41	3	the	the	DET
ejpam-3538	41	4	eigenvalue	eigenvalue	ADJ
ejpam-3538	41	5	structure	structure	NOUN
ejpam-3538	41	6	of	of	ADP
ejpam-3538	41	7	mhd	mhd	NOUN
ejpam-3538	41	8	analogue	analogue	NOUN
ejpam-3538	41	9	of	of	ADP
ejpam-3538	41	10	shallow	shallow	ADJ
ejpam-3538	41	11	water	water	NOUN
ejpam-3538	41	12	system	system	NOUN
ejpam-3538	41	13	,	,	PUNCT
ejpam-3538	41	14	it	it	PRON
ejpam-3538	41	15	is	be	AUX
ejpam-3538	41	16	obvious	obvious	ADJ
ejpam-3538	41	17	to	to	PART
ejpam-3538	41	18	design	design	VERB
ejpam-3538	41	19	a	a	DET
ejpam-3538	41	20	robust	robust	ADJ
ejpam-3538	41	21	and	and	CCONJ
ejpam-3538	41	22	accurate	accurate	ADJ
ejpam-3538	41	23	numerical	numerical	ADJ
ejpam-3538	41	24	method	method	NOUN
ejpam-3538	41	25	particularly	particularly	ADV
ejpam-3538	41	26	for	for	ADP
ejpam-3538	41	27	one	one	NUM
ejpam-3538	41	28	dimensional	dimensional	ADJ
ejpam-3538	41	29	case	case	NOUN
ejpam-3538	41	30	to	to	PART
ejpam-3538	41	31	obtain	obtain	VERB
ejpam-3538	41	32	a	a	DET
ejpam-3538	41	33	higher	high	ADJ
ejpam-3538	41	34	order	order	NOUN
ejpam-3538	41	35	extension	extension	NOUN
ejpam-3538	41	36	that	that	PRON
ejpam-3538	41	37	captures	capture	VERB
ejpam-3538	41	38	all	all	DET
ejpam-3538	41	39	waves	wave	NOUN
ejpam-3538	41	40	region	region	NOUN
ejpam-3538	41	41	.	.	PUNCT
ejpam-3538	42	1	this	this	PRON
ejpam-3538	42	2	is	be	AUX
ejpam-3538	42	3	the	the	DET
ejpam-3538	42	4	second	second	ADJ
ejpam-3538	42	5	reason	reason	NOUN
ejpam-3538	42	6	to	to	PART
ejpam-3538	42	7	carry	carry	VERB
ejpam-3538	42	8	out	out	ADP
ejpam-3538	42	9	the	the	DET
ejpam-3538	42	10	present	present	ADJ
ejpam-3538	42	11	work	work	NOUN
ejpam-3538	42	12	.	.	PUNCT
ejpam-3538	43	1	the	the	DET
ejpam-3538	43	2	aim	aim	NOUN
ejpam-3538	43	3	of	of	ADP
ejpam-3538	43	4	this	this	DET
ejpam-3538	43	5	paper	paper	NOUN
ejpam-3538	43	6	is	be	AUX
ejpam-3538	43	7	to	to	PART
ejpam-3538	43	8	build	build	VERB
ejpam-3538	43	9	a	a	DET
ejpam-3538	43	10	novel	novel	ADJ
ejpam-3538	43	11	method	method	NOUN
ejpam-3538	43	12	for	for	ADP
ejpam-3538	43	13	one	one	NUM
ejpam-3538	43	14	dimensional	dimensional	ADJ
ejpam-3538	43	15	swmhd	swmhd	ADJ
ejpam-3538	43	16	model	model	NOUN
ejpam-3538	43	17	with	with	ADP
ejpam-3538	43	18	the	the	DET
ejpam-3538	43	19	following	follow	VERB
ejpam-3538	43	20	features	feature	NOUN
ejpam-3538	43	21	:	:	PUNCT
ejpam-3538	43	22	a.	a.	NOUN
ejpam-3538	43	23	the	the	DET
ejpam-3538	43	24	method	method	NOUN
ejpam-3538	43	25	should	should	AUX
ejpam-3538	43	26	be	be	AUX
ejpam-3538	43	27	accurate	accurate	ADJ
ejpam-3538	43	28	for	for	ADP
ejpam-3538	43	29	one	one	NUM
ejpam-3538	43	30	dimensional	dimensional	ADJ
ejpam-3538	43	31	case	case	NOUN
ejpam-3538	43	32	b.	b.	NOUN
ejpam-3538	44	1	it	it	PRON
ejpam-3538	44	2	is	be	AUX
ejpam-3538	44	3	easy	easy	ADJ
ejpam-3538	44	4	to	to	PART
ejpam-3538	44	5	extend	extend	VERB
ejpam-3538	44	6	the	the	DET
ejpam-3538	44	7	method	method	NOUN
ejpam-3538	44	8	to	to	ADP
ejpam-3538	44	9	higher	high	ADJ
ejpam-3538	44	10	dimensions	dimension	NOUN
ejpam-3538	44	11	c.	c.	PROPN
ejpam-3538	44	12	there	there	PRON
ejpam-3538	44	13	is	be	VERB
ejpam-3538	44	14	no	no	DET
ejpam-3538	44	15	need	need	NOUN
ejpam-3538	44	16	of	of	ADP
ejpam-3538	44	17	riemann	riemann	PROPN
ejpam-3538	44	18	solvers	solver	NOUN
ejpam-3538	44	19	d.	d.	PROPN
ejpam-3538	44	20	there	there	PRON
ejpam-3538	44	21	is	be	VERB
ejpam-3538	44	22	no	no	DET
ejpam-3538	44	23	need	need	NOUN
ejpam-3538	44	24	to	to	PART
ejpam-3538	44	25	change	change	VERB
ejpam-3538	44	26	the	the	DET
ejpam-3538	44	27	source	source	NOUN
ejpam-3538	44	28	term	term	NOUN
ejpam-3538	44	29	the	the	DET
ejpam-3538	44	30	present	present	ADJ
ejpam-3538	44	31	work	work	NOUN
ejpam-3538	44	32	follows	follow	VERB
ejpam-3538	44	33	[	[	X
ejpam-3538	44	34	23	23	NUM
ejpam-3538	44	35	]	]	PUNCT
ejpam-3538	44	36	,	,	PUNCT
ejpam-3538	44	37	in	in	ADP
ejpam-3538	44	38	which	which	PRON
ejpam-3538	44	39	authors	author	NOUN
ejpam-3538	44	40	have	have	AUX
ejpam-3538	44	41	presented	present	VERB
ejpam-3538	44	42	a	a	DET
ejpam-3538	44	43	fourth	fourth	ADJ
ejpam-3538	44	44	order	order	NOUN
ejpam-3538	44	45	cese	cese	NOUN
ejpam-3538	44	46	method	method	NOUN
ejpam-3538	44	47	for	for	ADP
ejpam-3538	44	48	mhd	mhd	NOUN
ejpam-3538	44	49	system	system	NOUN
ejpam-3538	44	50	.	.	PUNCT
ejpam-3538	45	1	cese	cese	ADJ
ejpam-3538	45	2	method	method	NOUN
ejpam-3538	45	3	is	be	AUX
ejpam-3538	45	4	widely	widely	ADV
ejpam-3538	45	5	applied	apply	VERB
ejpam-3538	45	6	to	to	PART
ejpam-3538	45	7	solve	solve	VERB
ejpam-3538	45	8	riemann	riemann	PROPN
ejpam-3538	45	9	problems	problem	NOUN
ejpam-3538	45	10	associated	associate	VERB
ejpam-3538	45	11	to	to	ADP
ejpam-3538	45	12	hyperbolic	hyperbolic	ADJ
ejpam-3538	45	13	conservation	conservation	NOUN
ejpam-3538	45	14	laws	law	NOUN
ejpam-3538	45	15	.	.	PUNCT
ejpam-3538	46	1	it	it	PRON
ejpam-3538	46	2	was	be	AUX
ejpam-3538	46	3	first	first	ADV
ejpam-3538	46	4	proposed	propose	VERB
ejpam-3538	46	5	by	by	ADP
ejpam-3538	46	6	chang	chang	PROPN
ejpam-3538	46	7	et	et	PROPN
ejpam-3538	46	8	al	al	PROPN
ejpam-3538	46	9	.	.	PUNCT
ejpam-3538	47	1	[	[	X
ejpam-3538	47	2	3	3	NUM
ejpam-3538	47	3	]	]	PUNCT
ejpam-3538	47	4	.	.	PUNCT
ejpam-3538	48	1	a.	a.	PROPN
ejpam-3538	48	2	sidrah	sidrah	PROPN
ejpam-3538	48	3	,	,	PUNCT
ejpam-3538	48	4	z.	z.	PROPN
ejpam-3538	48	5	saqib	saqib	PROPN
ejpam-3538	48	6	/	/	SYM
ejpam-3538	48	7	eur	eur	PROPN
ejpam-3538	48	8	.	.	PUNCT
ejpam-3538	49	1	j.	j.	PROPN
ejpam-3538	49	2	pure	pure	PROPN
ejpam-3538	49	3	appl	appl	PROPN
ejpam-3538	49	4	.	.	PROPN
ejpam-3538	49	5	math	math	PROPN
ejpam-3538	49	6	,	,	PUNCT
ejpam-3538	49	7	12	12	NUM
ejpam-3538	49	8	(	(	PUNCT
ejpam-3538	49	9	4	4	NUM
ejpam-3538	49	10	)	)	PUNCT
ejpam-3538	49	11	(	(	PUNCT
ejpam-3538	49	12	2019	2019	NUM
ejpam-3538	49	13	)	)	PUNCT
ejpam-3538	49	14	,	,	PUNCT
ejpam-3538	49	15	1464	1464	NUM
ejpam-3538	49	16	-	-	SYM
ejpam-3538	49	17	1482	1482	NUM
ejpam-3538	49	18	1466	1466	NUM
ejpam-3538	49	19	now	now	ADV
ejpam-3538	49	20	a	a	DET
ejpam-3538	49	21	large	large	ADJ
ejpam-3538	49	22	number	number	NOUN
ejpam-3538	49	23	of	of	ADP
ejpam-3538	49	24	studies	study	NOUN
ejpam-3538	49	25	are	be	AUX
ejpam-3538	49	26	available	available	ADJ
ejpam-3538	49	27	in	in	ADP
ejpam-3538	49	28	the	the	DET
ejpam-3538	49	29	literature	literature	NOUN
ejpam-3538	49	30	that	that	PRON
ejpam-3538	49	31	demonstrate	demonstrate	VERB
ejpam-3538	49	32	the	the	DET
ejpam-3538	49	33	cese	cese	ADJ
ejpam-3538	49	34	method	method	NOUN
ejpam-3538	49	35	’s	’s	PART
ejpam-3538	49	36	robustness	robustness	NOUN
ejpam-3538	49	37	,	,	PUNCT
ejpam-3538	49	38	easy	easy	ADJ
ejpam-3538	49	39	implementation	implementation	NOUN
ejpam-3538	49	40	process	process	NOUN
ejpam-3538	49	41	and	and	CCONJ
ejpam-3538	49	42	accuracy	accuracy	NOUN
ejpam-3538	49	43	[	[	X
ejpam-3538	49	44	4	4	NUM
ejpam-3538	49	45	,	,	PUNCT
ejpam-3538	49	46	11–15	11–15	NUM
ejpam-3538	49	47	,	,	PUNCT
ejpam-3538	49	48	23	23	NUM
ejpam-3538	49	49	]	]	PUNCT
ejpam-3538	49	50	.	.	PUNCT
ejpam-3538	50	1	the	the	DET
ejpam-3538	50	2	applications	application	NOUN
ejpam-3538	50	3	of	of	ADP
ejpam-3538	50	4	cese	cese	ADJ
ejpam-3538	50	5	method	method	NOUN
ejpam-3538	50	6	for	for	ADP
ejpam-3538	50	7	mhd	mhd	NOUN
ejpam-3538	50	8	problems	problem	NOUN
ejpam-3538	50	9	can	can	AUX
ejpam-3538	50	10	be	be	AUX
ejpam-3538	50	11	found	find	VERB
ejpam-3538	50	12	in	in	ADP
ejpam-3538	50	13	[	[	X
ejpam-3538	50	14	18	18	NUM
ejpam-3538	50	15	,	,	PUNCT
ejpam-3538	50	16	19	19	NUM
ejpam-3538	50	17	,	,	PUNCT
ejpam-3538	50	18	24	24	NUM
ejpam-3538	50	19	,	,	PUNCT
ejpam-3538	50	20	26	26	NUM
ejpam-3538	50	21	]	]	PUNCT
ejpam-3538	50	22	.	.	PUNCT
ejpam-3538	51	1	this	this	DET
ejpam-3538	51	2	paper	paper	NOUN
ejpam-3538	51	3	is	be	AUX
ejpam-3538	51	4	organized	organize	VERB
ejpam-3538	51	5	in	in	ADP
ejpam-3538	51	6	four	four	NUM
ejpam-3538	51	7	sections	section	NOUN
ejpam-3538	51	8	.	.	PUNCT
ejpam-3538	52	1	section	section	NOUN
ejpam-3538	52	2	1	1	NUM
ejpam-3538	52	3	gives	give	VERB
ejpam-3538	52	4	an	an	DET
ejpam-3538	52	5	introduction	introduction	NOUN
ejpam-3538	52	6	of	of	ADP
ejpam-3538	52	7	swmhd	swmhd	PROPN
ejpam-3538	52	8	model	model	NOUN
ejpam-3538	52	9	and	and	CCONJ
ejpam-3538	52	10	the	the	DET
ejpam-3538	52	11	numerical	numerical	ADJ
ejpam-3538	52	12	schemes	scheme	NOUN
ejpam-3538	52	13	that	that	PRON
ejpam-3538	52	14	have	have	AUX
ejpam-3538	52	15	been	be	AUX
ejpam-3538	52	16	applied	apply	VERB
ejpam-3538	52	17	to	to	ADP
ejpam-3538	52	18	this	this	DET
ejpam-3538	52	19	system	system	NOUN
ejpam-3538	52	20	.	.	PUNCT
ejpam-3538	53	1	i	i	PRON
ejpam-3538	53	2	have	have	AUX
ejpam-3538	53	3	tried	try	VERB
ejpam-3538	53	4	to	to	PART
ejpam-3538	53	5	emphasize	emphasize	VERB
ejpam-3538	53	6	on	on	ADP
ejpam-3538	53	7	the	the	DET
ejpam-3538	53	8	causes	cause	NOUN
ejpam-3538	53	9	that	that	PRON
ejpam-3538	53	10	urges	urge	VERB
ejpam-3538	53	11	to	to	PART
ejpam-3538	53	12	develop	develop	VERB
ejpam-3538	53	13	a	a	DET
ejpam-3538	53	14	higher	high	ADJ
ejpam-3538	53	15	order	order	NOUN
ejpam-3538	53	16	cese	cese	NOUN
ejpam-3538	53	17	scheme	scheme	NOUN
ejpam-3538	53	18	for	for	ADP
ejpam-3538	53	19	this	this	DET
ejpam-3538	53	20	model	model	NOUN
ejpam-3538	53	21	.	.	PUNCT
ejpam-3538	54	1	section	section	NOUN
ejpam-3538	54	2	2	2	NUM
ejpam-3538	54	3	comprises	comprise	NOUN
ejpam-3538	54	4	of	of	ADP
ejpam-3538	54	5	detailed	detailed	ADJ
ejpam-3538	54	6	formulation	formulation	NOUN
ejpam-3538	54	7	of	of	ADP
ejpam-3538	54	8	fourth	fourth	ADJ
ejpam-3538	54	9	order	order	NOUN
ejpam-3538	54	10	cese	cese	NOUN
ejpam-3538	54	11	scheme	scheme	NOUN
ejpam-3538	54	12	for	for	ADP
ejpam-3538	54	13	one	one	NUM
ejpam-3538	54	14	dimensional	dimensional	ADJ
ejpam-3538	54	15	swmhd	swmhd	ADJ
ejpam-3538	54	16	equations	equation	NOUN
ejpam-3538	54	17	.	.	PUNCT
ejpam-3538	55	1	section	section	NOUN
ejpam-3538	55	2	3	3	NUM
ejpam-3538	55	3	includes	include	VERB
ejpam-3538	55	4	the	the	DET
ejpam-3538	55	5	numerical	numerical	ADJ
ejpam-3538	55	6	test	test	NOUN
ejpam-3538	55	7	cases	case	NOUN
ejpam-3538	55	8	that	that	PRON
ejpam-3538	55	9	demonstrate	demonstrate	VERB
ejpam-3538	55	10	the	the	DET
ejpam-3538	55	11	reliability	reliability	NOUN
ejpam-3538	55	12	of	of	ADP
ejpam-3538	55	13	present	present	ADJ
ejpam-3538	55	14	work	work	NOUN
ejpam-3538	55	15	.	.	PUNCT
ejpam-3538	56	1	in	in	ADP
ejpam-3538	56	2	section	section	NOUN
ejpam-3538	56	3	5	5	NUM
ejpam-3538	56	4	,	,	PUNCT
ejpam-3538	56	5	concluding	conclude	VERB
ejpam-3538	56	6	remarks	remark	NOUN
ejpam-3538	56	7	are	be	AUX
ejpam-3538	56	8	given	give	VERB
ejpam-3538	56	9	about	about	ADP
ejpam-3538	56	10	this	this	DET
ejpam-3538	56	11	work	work	NOUN
ejpam-3538	56	12	and	and	CCONJ
ejpam-3538	56	13	some	some	DET
ejpam-3538	56	14	future	future	ADJ
ejpam-3538	56	15	extensions	extension	NOUN
ejpam-3538	56	16	.	.	PUNCT
ejpam-3538	57	1	2	2	X
ejpam-3538	57	2	.	.	X
ejpam-3538	57	3	fourth	fourth	ADJ
ejpam-3538	57	4	-	-	PUNCT
ejpam-3538	57	5	order	order	NOUN
ejpam-3538	57	6	cese	cese	NOUN
ejpam-3538	57	7	scheme	scheme	NOUN
ejpam-3538	57	8	the	the	DET
ejpam-3538	57	9	fourth	fourth	ADJ
ejpam-3538	57	10	-	-	PUNCT
ejpam-3538	57	11	order	order	NOUN
ejpam-3538	57	12	cese	cese	NOUN
ejpam-3538	57	13	scheme	scheme	NOUN
ejpam-3538	57	14	is	be	AUX
ejpam-3538	57	15	based	base	VERB
ejpam-3538	57	16	on	on	ADP
ejpam-3538	57	17	the	the	DET
ejpam-3538	57	18	same	same	ADJ
ejpam-3538	57	19	basic	basic	ADJ
ejpam-3538	57	20	concept	concept	NOUN
ejpam-3538	57	21	of	of	ADP
ejpam-3538	57	22	the	the	DET
ejpam-3538	57	23	secondorder	secondorder	ADJ
ejpam-3538	57	24	cese	cese	NOUN
ejpam-3538	57	25	scheme	scheme	NOUN
ejpam-3538	57	26	in	in	ADP
ejpam-3538	57	27	[	[	X
ejpam-3538	57	28	25	25	NUM
ejpam-3538	57	29	]	]	PUNCT
ejpam-3538	57	30	.	.	PUNCT
ejpam-3538	58	1	let	let	VERB
ejpam-3538	58	2	us	we	PRON
ejpam-3538	58	3	consider	consider	VERB
ejpam-3538	58	4	the	the	DET
ejpam-3538	58	5	space	space	NOUN
ejpam-3538	58	6	-	-	PUNCT
ejpam-3538	58	7	time	time	NOUN
ejpam-3538	58	8	cartesian	cartesian	ADJ
ejpam-3538	58	9	coordinates	coordinate	NOUN
ejpam-3538	58	10	system	system	PROPN
ejpam-3538	58	11	e3(x	e3(x	PROPN
ejpam-3538	58	12	,	,	PUNCT
ejpam-3538	58	13	y	y	PROPN
ejpam-3538	58	14	,	,	PUNCT
ejpam-3538	58	15	t	t	PROPN
ejpam-3538	58	16	)	)	PUNCT
ejpam-3538	58	17	,	,	PUNCT
ejpam-3538	58	18	where	where	SCONJ
ejpam-3538	58	19	x	x	PRON
ejpam-3538	58	20	and	and	CCONJ
ejpam-3538	58	21	y	y	PROPN
ejpam-3538	58	22	are	be	AUX
ejpam-3538	58	23	the	the	DET
ejpam-3538	58	24	spatial	spatial	ADJ
ejpam-3538	58	25	coordinates	coordinate	NOUN
ejpam-3538	58	26	combined	combine	VERB
ejpam-3538	58	27	with	with	ADP
ejpam-3538	58	28	the	the	DET
ejpam-3538	58	29	time	time	NOUN
ejpam-3538	58	30	coordinate	coordinate	NOUN
ejpam-3538	58	31	t.	t.	PROPN
ejpam-3538	58	32	eq.3	eq.3	PROPN
ejpam-3538	58	33	can	can	AUX
ejpam-3538	58	34	be	be	AUX
ejpam-3538	58	35	rewritten	rewrite	VERB
ejpam-3538	58	36	as	as	ADP
ejpam-3538	58	37	∇	∇	X
ejpam-3538	58	38	·	·	PUNCT
ejpam-3538	59	1	hm	hm	INTJ
ejpam-3538	59	2	=	=	SYM
ejpam-3538	59	3	0	0	PROPN
ejpam-3538	59	4	,	,	PUNCT
ejpam-3538	59	5	(	(	PUNCT
ejpam-3538	59	6	5	5	NUM
ejpam-3538	59	7	)	)	PUNCT
ejpam-3538	59	8	where	where	SCONJ
ejpam-3538	59	9	hm	hm	INTJ
ejpam-3538	59	10	=	=	SYM
ejpam-3538	59	11	(	(	PUNCT
ejpam-3538	59	12	fm	fm	PROPN
ejpam-3538	59	13	,	,	PUNCT
ejpam-3538	59	14	gm	gm	PROPN
ejpam-3538	59	15	,	,	PUNCT
ejpam-3538	59	16	qm	qm	PROPN
ejpam-3538	59	17	)	)	PUNCT
ejpam-3538	59	18	,	,	PUNCT
ejpam-3538	59	19	(	(	PUNCT
ejpam-3538	59	20	m	m	NOUN
ejpam-3538	59	21	=	=	SYM
ejpam-3538	59	22	1	1	NUM
ejpam-3538	59	23	,	,	PUNCT
ejpam-3538	59	24	·	·	PUNCT
ejpam-3538	59	25	·	·	PUNCT
ejpam-3538	59	26	·	·	PUNCT
ejpam-3538	59	27	,	,	PUNCT
ejpam-3538	59	28	5	5	NUM
ejpam-3538	59	29	)	)	PUNCT
ejpam-3538	59	30	is	be	AUX
ejpam-3538	59	31	the	the	DET
ejpam-3538	59	32	spacetime	spacetime	PROPN
ejpam-3538	59	33	flux	flux	PROPN
ejpam-3538	59	34	vector	vector	NOUN
ejpam-3538	59	35	and	and	CCONJ
ejpam-3538	59	36	∇	∇	X
ejpam-3538	59	37	=	=	X
ejpam-3538	59	38	(	(	PUNCT
ejpam-3538	59	39	∂	∂	NUM
ejpam-3538	59	40	∂x	∂x	PROPN
ejpam-3538	59	41	,	,	PUNCT
ejpam-3538	59	42	∂	∂	NUM
ejpam-3538	59	43	∂y	∂y	PROPN
ejpam-3538	59	44	,	,	PUNCT
ejpam-3538	59	45	∂	∂	NUM
ejpam-3538	59	46	∂t	∂t	PROPN
ejpam-3538	59	47	)	)	PUNCT
ejpam-3538	59	48	.	.	PUNCT
ejpam-3538	60	1	integrating	integrate	VERB
ejpam-3538	60	2	equation	equation	NOUN
ejpam-3538	60	3	refe:3	refe:3	NOUN
ejpam-3538	60	4	over	over	ADP
ejpam-3538	60	5	the	the	DET
ejpam-3538	60	6	arbitrary	arbitrary	ADJ
ejpam-3538	60	7	control	control	NOUN
ejpam-3538	60	8	volume	volume	NOUN
ejpam-3538	60	9	v	v	NOUN
ejpam-3538	60	10	and	and	CCONJ
ejpam-3538	60	11	applying	apply	VERB
ejpam-3538	60	12	the	the	DET
ejpam-3538	60	13	gausss	gausss	NOUN
ejpam-3538	60	14	divergence	divergence	NOUN
ejpam-3538	60	15	theorem	theorem	NOUN
ejpam-3538	60	16	in	in	ADP
ejpam-3538	60	17	the	the	DET
ejpam-3538	60	18	3d	3d	PROPN
ejpam-3538	60	19	spacetime	spacetime	PROPN
ejpam-3538	60	20	domain	domain	PROPN
ejpam-3538	60	21	e3(x	e3(x	PROPN
ejpam-3538	60	22	,	,	PUNCT
ejpam-3538	60	23	y	y	PROPN
ejpam-3538	60	24	,	,	PUNCT
ejpam-3538	60	25	t	t	PROPN
ejpam-3538	60	26	)	)	PUNCT
ejpam-3538	60	27	,	,	PUNCT
ejpam-3538	60	28	allows	allow	VERB
ejpam-3538	60	29	to	to	PART
ejpam-3538	60	30	write	write	VERB
ejpam-3538	60	31	the	the	DET
ejpam-3538	60	32	following	follow	VERB
ejpam-3538	60	33	form	form	NOUN
ejpam-3538	60	34	:	:	PUNCT
ejpam-3538	60	35	∮	∮	NUM
ejpam-3538	60	36	a(v	a(v	NOUN
ejpam-3538	60	37	)	)	PUNCT
ejpam-3538	61	1	hm	hm	INTJ
ejpam-3538	61	2	·	·	PUNCT
ejpam-3538	61	3	ds	ds	ADJ
ejpam-3538	61	4	=	=	SYM
ejpam-3538	61	5	0	0	NUM
ejpam-3538	61	6	,	,	PUNCT
ejpam-3538	61	7	(	(	PUNCT
ejpam-3538	61	8	6	6	NUM
ejpam-3538	61	9	)	)	PUNCT
ejpam-3538	61	10	where	where	SCONJ
ejpam-3538	61	11	a(v	a(v	NOUN
ejpam-3538	61	12	)	)	PUNCT
ejpam-3538	61	13	denotes	denote	VERB
ejpam-3538	61	14	the	the	DET
ejpam-3538	61	15	closed	closed	ADJ
ejpam-3538	61	16	boundary	boundary	ADJ
ejpam-3538	61	17	surface	surface	NOUN
ejpam-3538	61	18	of	of	ADP
ejpam-3538	61	19	any	any	DET
ejpam-3538	61	20	spacetime	spacetime	NOUN
ejpam-3538	61	21	region	region	NOUN
ejpam-3538	61	22	v	v	NOUN
ejpam-3538	61	23	in	in	ADP
ejpam-3538	61	24	e3(x	e3(x	PROPN
ejpam-3538	61	25	,	,	PUNCT
ejpam-3538	61	26	y	y	PROPN
ejpam-3538	61	27	,	,	PUNCT
ejpam-3538	61	28	t	t	PROPN
ejpam-3538	61	29	)	)	PUNCT
ejpam-3538	61	30	,	,	PUNCT
ejpam-3538	61	31	da	da	NOUN
ejpam-3538	61	32	=	=	SYM
ejpam-3538	61	33	(	(	PUNCT
ejpam-3538	61	34	dδ)n	dδ)n	PROPN
ejpam-3538	61	35	,	,	PUNCT
ejpam-3538	61	36	with	with	ADP
ejpam-3538	61	37	the	the	DET
ejpam-3538	61	38	area	area	NOUN
ejpam-3538	61	39	dδ	dδ	ADP
ejpam-3538	61	40	and	and	CCONJ
ejpam-3538	61	41	the	the	DET
ejpam-3538	61	42	unit	unit	NOUN
ejpam-3538	61	43	outward	outward	VERB
ejpam-3538	61	44	normal	normal	ADJ
ejpam-3538	61	45	vector	vector	NOUN
ejpam-3538	61	46	n.	n.	NOUN
ejpam-3538	62	1	moreover	moreover	ADV
ejpam-3538	62	2	hm	hm	INTJ
ejpam-3538	62	3	·	·	PUNCT
ejpam-3538	62	4	ds	ds	ADJ
ejpam-3538	62	5	denotes	denote	NOUN
ejpam-3538	62	6	the	the	DET
ejpam-3538	62	7	total	total	ADJ
ejpam-3538	62	8	spacetime	spacetime	NOUN
ejpam-3538	62	9	flux	flux	PROPN
ejpam-3538	62	10	leaving	leave	VERB
ejpam-3538	62	11	the	the	DET
ejpam-3538	62	12	surface	surface	NOUN
ejpam-3538	62	13	element	element	NOUN
ejpam-3538	62	14	da	da	PROPN
ejpam-3538	62	15	.	.	PUNCT
ejpam-3538	62	16	figure	figure	NOUN
ejpam-3538	62	17	1	1	NUM
ejpam-3538	62	18	shows	show	VERB
ejpam-3538	62	19	the	the	DET
ejpam-3538	62	20	projection	projection	NOUN
ejpam-3538	62	21	of	of	ADP
ejpam-3538	62	22	conservation	conservation	NOUN
ejpam-3538	62	23	element	element	NOUN
ejpam-3538	62	24	on	on	ADP
ejpam-3538	62	25	2d	2d	NUM
ejpam-3538	62	26	cartesian	cartesian	ADJ
ejpam-3538	62	27	coordinates	coordinate	NOUN
ejpam-3538	62	28	grid	grid	VERB
ejpam-3538	62	29	in	in	ADP
ejpam-3538	62	30	(	(	PUNCT
ejpam-3538	62	31	x	x	NOUN
ejpam-3538	62	32	,	,	PUNCT
ejpam-3538	62	33	y	y	NOUN
ejpam-3538	62	34	)	)	PUNCT
ejpam-3538	62	35	plane	plane	NOUN
ejpam-3538	62	36	at	at	ADP
ejpam-3538	62	37	time	time	NOUN
ejpam-3538	62	38	level	level	NOUN
ejpam-3538	62	39	n−	n−	NOUN
ejpam-3538	62	40	1	1	NUM
ejpam-3538	62	41	2	2	NUM
ejpam-3538	62	42	as	as	ADP
ejpam-3538	62	43	the	the	DET
ejpam-3538	62	44	polygon	polygon	PROPN
ejpam-3538	62	45	v1v5v7v9	v1v5v7v9	NOUN
ejpam-3538	62	46	.	.	PUNCT
ejpam-3538	63	1	each	each	DET
ejpam-3538	63	2	vertex	vertex	NOUN
ejpam-3538	63	3	vi	vi	PROPN
ejpam-3538	63	4	is	be	AUX
ejpam-3538	63	5	marked	mark	VERB
ejpam-3538	63	6	as	as	ADP
ejpam-3538	63	7	a	a	DET
ejpam-3538	63	8	filled	fill	VERB
ejpam-3538	63	9	circle	circle	NOUN
ejpam-3538	63	10	.	.	PUNCT
ejpam-3538	64	1	the	the	DET
ejpam-3538	64	2	centroid	centroid	PROPN
ejpam-3538	64	3	ci	ci	PROPN
ejpam-3538	64	4	,	,	PUNCT
ejpam-3538	64	5	i	i	PRON
ejpam-3538	64	6	=	=	NOUN
ejpam-3538	64	7	1	1	NUM
ejpam-3538	64	8	,	,	PUNCT
ejpam-3538	64	9	2	2	NUM
ejpam-3538	64	10	,	,	PUNCT
ejpam-3538	64	11	3	3	NUM
ejpam-3538	64	12	,	,	PUNCT
ejpam-3538	64	13	4	4	NUM
ejpam-3538	64	14	,	,	PUNCT
ejpam-3538	64	15	associated	associate	VERB
ejpam-3538	64	16	to	to	ADP
ejpam-3538	64	17	each	each	DET
ejpam-3538	64	18	polygon	polygon	NOUN
ejpam-3538	64	19	is	be	AUX
ejpam-3538	64	20	marked	mark	VERB
ejpam-3538	64	21	as	as	ADP
ejpam-3538	64	22	hollow	hollow	ADJ
ejpam-3538	64	23	circle	circle	NOUN
ejpam-3538	64	24	.	.	PUNCT
ejpam-3538	65	1	the	the	DET
ejpam-3538	65	2	3d	3d	PROPN
ejpam-3538	65	3	space	space	NOUN
ejpam-3538	65	4	-	-	PUNCT
ejpam-3538	65	5	time	time	NOUN
ejpam-3538	65	6	region	region	NOUN
ejpam-3538	65	7	is	be	AUX
ejpam-3538	65	8	divided	divide	VERB
ejpam-3538	65	9	into	into	ADP
ejpam-3538	65	10	non	non	ADJ
ejpam-3538	65	11	-	-	ADJ
ejpam-3538	65	12	overlapping	overlapping	ADJ
ejpam-3538	65	13	quadrilaterals	quadrilateral	NOUN
ejpam-3538	65	14	called	call	VERB
ejpam-3538	65	15	conservation	conservation	NOUN
ejpam-3538	65	16	elements	element	NOUN
ejpam-3538	65	17	hereafter	hereafter	ADV
ejpam-3538	65	18	referred	refer	VERB
ejpam-3538	65	19	as	as	ADP
ejpam-3538	65	20	ce	ce	PROPN
ejpam-3538	65	21	.	.	PUNCT
ejpam-3538	66	1	each	each	DET
ejpam-3538	66	2	ce	ce	PROPN
ejpam-3538	66	3	is	be	AUX
ejpam-3538	66	4	divided	divide	VERB
ejpam-3538	66	5	into	into	ADP
ejpam-3538	66	6	four	four	NUM
ejpam-3538	66	7	basic	basic	ADJ
ejpam-3538	66	8	ces	ce	NOUN
ejpam-3538	66	9	.	.	PUNCT
ejpam-3538	67	1	the	the	DET
ejpam-3538	67	2	associated	associate	VERB
ejpam-3538	67	3	bces	bce	NOUN
ejpam-3538	67	4	are	be	AUX
ejpam-3538	67	5	v1v2v3v4	v1v2v3v4	PROPN
ejpam-3538	67	6	,	,	PUNCT
ejpam-3538	67	7	v3v4v5v6	v3v4v5v6	PROPN
ejpam-3538	67	8	,	,	PUNCT
ejpam-3538	67	9	v6v7v8v3	v6v7v8v3	PROPN
ejpam-3538	67	10	and	and	CCONJ
ejpam-3538	67	11	v8v3v2v9	v8v3v2v9	PROPN
ejpam-3538	67	12	.	.	PUNCT
ejpam-3538	68	1	the	the	DET
ejpam-3538	68	2	centroid	centroid	NOUN
ejpam-3538	68	3	of	of	ADP
ejpam-3538	68	4	each	each	DET
ejpam-3538	68	5	bce	bce	PROPN
ejpam-3538	68	6	is	be	AUX
ejpam-3538	68	7	marked	mark	VERB
ejpam-3538	68	8	as	as	ADP
ejpam-3538	68	9	ci	ci	NOUN
ejpam-3538	68	10	and	and	CCONJ
ejpam-3538	68	11	the	the	DET
ejpam-3538	68	12	centroid	centroid	NOUN
ejpam-3538	68	13	of	of	ADP
ejpam-3538	68	14	ce	ce	PROPN
ejpam-3538	68	15	is	be	AUX
ejpam-3538	68	16	marked	mark	VERB
ejpam-3538	68	17	as	as	ADP
ejpam-3538	68	18	g.	g.	PROPN
ejpam-3538	68	19	due	due	ADP
ejpam-3538	68	20	to	to	ADP
ejpam-3538	68	21	uniform	uniform	ADJ
ejpam-3538	68	22	grid	grid	NOUN
ejpam-3538	68	23	,	,	PUNCT
ejpam-3538	68	24	the	the	DET
ejpam-3538	68	25	points	point	NOUN
ejpam-3538	68	26	g	g	NOUN
ejpam-3538	68	27	and	and	CCONJ
ejpam-3538	68	28	v3	v3	PROPN
ejpam-3538	68	29	coincide	coincide	NOUN
ejpam-3538	68	30	.	.	PUNCT
ejpam-3538	69	1	the	the	DET
ejpam-3538	69	2	staggered	staggered	ADJ
ejpam-3538	69	3	cese	cese	ADJ
ejpam-3538	69	4	scheme	scheme	NOUN
ejpam-3538	69	5	is	be	AUX
ejpam-3538	69	6	designed	design	VERB
ejpam-3538	69	7	in	in	ADP
ejpam-3538	69	8	a	a	DET
ejpam-3538	69	9	way	way	NOUN
ejpam-3538	69	10	that	that	PRON
ejpam-3538	69	11	the	the	DET
ejpam-3538	69	12	solution	solution	NOUN
ejpam-3538	69	13	at	at	ADP
ejpam-3538	69	14	bce	bce	PROPN
ejpam-3538	69	15	cell	cell	NOUN
ejpam-3538	69	16	centers	center	NOUN
ejpam-3538	69	17	ci	ci	PROPN
ejpam-3538	69	18	are	be	AUX
ejpam-3538	69	19	obtained	obtain	VERB
ejpam-3538	69	20	during	during	ADP
ejpam-3538	69	21	the	the	DET
ejpam-3538	69	22	first	first	ADJ
ejpam-3538	69	23	half	half	ADJ
ejpam-3538	69	24	time	time	NOUN
ejpam-3538	69	25	step	step	NOUN
ejpam-3538	69	26	and	and	CCONJ
ejpam-3538	69	27	the	the	DET
ejpam-3538	69	28	solution	solution	NOUN
ejpam-3538	69	29	at	at	ADP
ejpam-3538	69	30	the	the	DET
ejpam-3538	69	31	vertices	vertex	NOUN
ejpam-3538	69	32	(	(	PUNCT
ejpam-3538	69	33	in	in	ADP
ejpam-3538	69	34	our	our	PRON
ejpam-3538	69	35	case	case	NOUN
ejpam-3538	69	36	g	g	NOUN
ejpam-3538	69	37	)	)	PUNCT
ejpam-3538	69	38	is	be	AUX
ejpam-3538	69	39	updated	update	VERB
ejpam-3538	69	40	in	in	ADP
ejpam-3538	69	41	the	the	DET
ejpam-3538	69	42	second	second	ADJ
ejpam-3538	69	43	half	half	NOUN
ejpam-3538	69	44	time	time	NOUN
ejpam-3538	69	45	step	step	NOUN
ejpam-3538	69	46	.	.	PUNCT
ejpam-3538	70	1	for	for	ADP
ejpam-3538	70	2	each	each	DET
ejpam-3538	70	3	solution	solution	NOUN
ejpam-3538	70	4	point	point	NOUN
ejpam-3538	70	5	g	g	NOUN
ejpam-3538	70	6	there	there	PRON
ejpam-3538	70	7	is	be	VERB
ejpam-3538	70	8	an	an	DET
ejpam-3538	70	9	a.	a.	NOUN
ejpam-3538	70	10	sidrah	sidrah	NOUN
ejpam-3538	70	11	,	,	PUNCT
ejpam-3538	70	12	z.	z.	PROPN
ejpam-3538	70	13	saqib	saqib	PROPN
ejpam-3538	70	14	/	/	SYM
ejpam-3538	70	15	eur	eur	PROPN
ejpam-3538	70	16	.	.	PUNCT
ejpam-3538	71	1	j.	j.	PROPN
ejpam-3538	71	2	pure	pure	PROPN
ejpam-3538	71	3	appl	appl	PROPN
ejpam-3538	71	4	.	.	PROPN
ejpam-3538	71	5	math	math	PROPN
ejpam-3538	71	6	,	,	PUNCT
ejpam-3538	71	7	12	12	NUM
ejpam-3538	71	8	(	(	PUNCT
ejpam-3538	71	9	4	4	NUM
ejpam-3538	71	10	)	)	PUNCT
ejpam-3538	71	11	(	(	PUNCT
ejpam-3538	71	12	2019	2019	NUM
ejpam-3538	71	13	)	)	PUNCT
ejpam-3538	71	14	,	,	PUNCT
ejpam-3538	71	15	1464	1464	NUM
ejpam-3538	71	16	-	-	SYM
ejpam-3538	71	17	1482	1482	NUM
ejpam-3538	71	18	1467	1467	NUM
ejpam-3538	71	19	figure	figure	NOUN
ejpam-3538	71	20	1	1	NUM
ejpam-3538	71	21	:	:	PUNCT
ejpam-3538	71	22	projection	projection	NOUN
ejpam-3538	71	23	of	of	ADP
ejpam-3538	71	24	ce	ce	PROPN
ejpam-3538	71	25	onto	onto	ADP
ejpam-3538	71	26	(	(	PUNCT
ejpam-3538	71	27	x	x	NOUN
ejpam-3538	71	28	,	,	PUNCT
ejpam-3538	71	29	y	y	NOUN
ejpam-3538	71	30	)	)	PUNCT
ejpam-3538	71	31	plane	plane	NOUN
ejpam-3538	71	32	associated	associate	VERB
ejpam-3538	71	33	solution	solution	NOUN
ejpam-3538	71	34	element	element	NOUN
ejpam-3538	71	35	(	(	PUNCT
ejpam-3538	71	36	se	se	ADJ
ejpam-3538	71	37	)	)	PUNCT
ejpam-3538	71	38	.	.	PUNCT
ejpam-3538	72	1	the	the	DET
ejpam-3538	72	2	role	role	NOUN
ejpam-3538	72	3	of	of	ADP
ejpam-3538	72	4	solution	solution	NOUN
ejpam-3538	72	5	element	element	NOUN
ejpam-3538	72	6	is	be	AUX
ejpam-3538	72	7	to	to	PART
ejpam-3538	72	8	get	get	VERB
ejpam-3538	72	9	taylor	taylor	NOUN
ejpam-3538	72	10	approximation	approximation	NOUN
ejpam-3538	72	11	of	of	ADP
ejpam-3538	72	12	flux	flux	PROPN
ejpam-3538	72	13	variables	variables	PROPN
ejpam-3538	72	14	qm	qm	PROPN
ejpam-3538	72	15	,	,	PUNCT
ejpam-3538	72	16	fm	fm	PROPN
ejpam-3538	72	17	and	and	CCONJ
ejpam-3538	72	18	gm	gm	PROPN
ejpam-3538	72	19	.	.	PUNCT
ejpam-3538	73	1	consider	consider	VERB
ejpam-3538	73	2	for	for	ADP
ejpam-3538	73	3	example	example	NOUN
ejpam-3538	73	4	the	the	DET
ejpam-3538	73	5	solution	solution	NOUN
ejpam-3538	73	6	point	point	NOUN
ejpam-3538	73	7	c	c	NOUN
ejpam-3538	73	8	/	/	SYM
ejpam-3538	73	9	i	i	NOUN
ejpam-3538	73	10	.	.	PUNCT
ejpam-3538	74	1	the	the	DET
ejpam-3538	74	2	corresponding	corresponding	PROPN
ejpam-3538	74	3	ce	ce	PROPN
ejpam-3538	74	4	is	be	AUX
ejpam-3538	74	5	the	the	DET
ejpam-3538	74	6	polygon	polygon	NOUN
ejpam-3538	74	7	v1v2v3v4v	v1v2v3v4v	PROPN
ejpam-3538	74	8	/	/	SYM
ejpam-3538	74	9	1	1	NUM
ejpam-3538	74	10	v	v	NOUN
ejpam-3538	74	11	/	/	SYM
ejpam-3538	74	12	2	2	NUM
ejpam-3538	74	13	v	v	NOUN
ejpam-3538	74	14	/	/	SYM
ejpam-3538	74	15	3	3	NUM
ejpam-3538	74	16	v	v	NOUN
ejpam-3538	74	17	/	/	SYM
ejpam-3538	74	18	4	4	NUM
ejpam-3538	74	19	while	while	SCONJ
ejpam-3538	74	20	the	the	DET
ejpam-3538	74	21	se	se	PROPN
ejpam-3538	74	22	is	be	AUX
ejpam-3538	74	23	the	the	DET
ejpam-3538	74	24	union	union	NOUN
ejpam-3538	74	25	of	of	ADP
ejpam-3538	74	26	three	three	NUM
ejpam-3538	74	27	planes	plane	NOUN
ejpam-3538	74	28	v	v	NOUN
ejpam-3538	74	29	/	/	SYM
ejpam-3538	74	30	1	1	NUM
ejpam-3538	74	31	v	v	NOUN
ejpam-3538	74	32	/	/	SYM
ejpam-3538	74	33	2	2	NUM
ejpam-3538	74	34	v	v	NOUN
ejpam-3538	74	35	/	/	SYM
ejpam-3538	74	36	3	3	NUM
ejpam-3538	74	37	v	v	NOUN
ejpam-3538	74	38	/	/	SYM
ejpam-3538	74	39	4	4	NUM
ejpam-3538	74	40	,	,	PUNCT
ejpam-3538	74	41	a1a3a	a1a3a	PUNCT
ejpam-3538	74	42	//	//	NUM
ejpam-3538	74	43	1	1	NUM
ejpam-3538	74	44	a	a	DET
ejpam-3538	74	45	//	//	NUM
ejpam-3538	74	46	3	3	NUM
ejpam-3538	74	47	and	and	CCONJ
ejpam-3538	74	48	a2a4a	a2a4a	NUM
ejpam-3538	74	49	//	//	X
ejpam-3538	74	50	2	2	NUM
ejpam-3538	74	51	a	a	DET
ejpam-3538	74	52	//	//	NUM
ejpam-3538	74	53	4	4	NUM
ejpam-3538	74	54	.	.	PUNCT
ejpam-3538	75	1	this	this	DET
ejpam-3538	75	2	space	space	NOUN
ejpam-3538	75	3	-	-	PUNCT
ejpam-3538	75	4	time	time	NOUN
ejpam-3538	75	5	discretization	discretization	NOUN
ejpam-3538	75	6	implies	imply	VERB
ejpam-3538	75	7	that	that	SCONJ
ejpam-3538	75	8	the	the	DET
ejpam-3538	75	9	boundaries	boundary	NOUN
ejpam-3538	75	10	of	of	ADP
ejpam-3538	75	11	ces	ce	NOUN
ejpam-3538	75	12	are	be	AUX
ejpam-3538	75	13	parallel	parallel	ADJ
ejpam-3538	75	14	to	to	ADP
ejpam-3538	75	15	the	the	DET
ejpam-3538	75	16	coordinate	coordinate	NOUN
ejpam-3538	75	17	planes	plane	NOUN
ejpam-3538	75	18	and	and	CCONJ
ejpam-3538	75	19	also	also	ADV
ejpam-3538	75	20	their	their	PRON
ejpam-3538	75	21	outward	outward	ADJ
ejpam-3538	75	22	unit	unit	NOUN
ejpam-3538	75	23	normal	normal	ADJ
ejpam-3538	75	24	vectors	vector	NOUN
ejpam-3538	75	25	are	be	AUX
ejpam-3538	75	26	along	along	ADP
ejpam-3538	75	27	the	the	DET
ejpam-3538	75	28	coordinate	coordinate	NOUN
ejpam-3538	75	29	axis	axis	NOUN
ejpam-3538	75	30	.	.	PUNCT
ejpam-3538	76	1	it	it	PRON
ejpam-3538	76	2	results	result	VERB
ejpam-3538	76	3	only	only	ADV
ejpam-3538	76	4	one	one	NUM
ejpam-3538	76	5	component	component	NOUN
ejpam-3538	76	6	of	of	ADP
ejpam-3538	76	7	total	total	ADJ
ejpam-3538	76	8	space	space	NOUN
ejpam-3538	76	9	-	-	PUNCT
ejpam-3538	76	10	time	time	NOUN
ejpam-3538	76	11	flux	flux	NOUN
ejpam-3538	76	12	vector	vector	NOUN
ejpam-3538	76	13	(	(	PUNCT
ejpam-3538	76	14	f	f	X
ejpam-3538	76	15	,	,	PUNCT
ejpam-3538	76	16	g	g	PROPN
ejpam-3538	76	17	,	,	PUNCT
ejpam-3538	76	18	q	q	NOUN
ejpam-3538	76	19	)	)	PUNCT
ejpam-3538	76	20	passing	pass	VERB
ejpam-3538	76	21	through	through	ADP
ejpam-3538	76	22	boundary	boundary	ADJ
ejpam-3538	76	23	planes	plane	NOUN
ejpam-3538	76	24	of	of	ADP
ejpam-3538	76	25	ces	ce	NOUN
ejpam-3538	76	26	and	and	CCONJ
ejpam-3538	76	27	bces	bce	NOUN
ejpam-3538	76	28	.	.	PUNCT
ejpam-3538	77	1	the	the	DET
ejpam-3538	77	2	conservation	conservation	NOUN
ejpam-3538	77	3	law	law	NOUN
ejpam-3538	77	4	form	form	NOUN
ejpam-3538	77	5	of	of	ADP
ejpam-3538	77	6	shallow	shallow	ADJ
ejpam-3538	77	7	water	water	NOUN
ejpam-3538	77	8	mhd	mhd	NOUN
ejpam-3538	77	9	equations	equations	PROPN
ejpam-3538	77	10	holds	hold	VERB
ejpam-3538	77	11	for	for	ADP
ejpam-3538	77	12	an	an	DET
ejpam-3538	77	13	arbitrary	arbitrary	ADJ
ejpam-3538	77	14	closed	closed	ADJ
ejpam-3538	77	15	spacetime	spacetime	NOUN
ejpam-3538	77	16	domain	domain	NOUN
ejpam-3538	77	17	and	and	CCONJ
ejpam-3538	77	18	the	the	DET
ejpam-3538	77	19	defined	define	VERB
ejpam-3538	77	20	ce	ce	PROPN
ejpam-3538	77	21	is	be	AUX
ejpam-3538	77	22	also	also	ADV
ejpam-3538	77	23	closed	closed	ADJ
ejpam-3538	77	24	space	space	NOUN
ejpam-3538	77	25	-	-	PUNCT
ejpam-3538	77	26	time	time	NOUN
ejpam-3538	77	27	region	region	NOUN
ejpam-3538	77	28	so	so	SCONJ
ejpam-3538	77	29	the	the	DET
ejpam-3538	77	30	conservation	conservation	NOUN
ejpam-3538	77	31	law	law	NOUN
ejpam-3538	77	32	can	can	AUX
ejpam-3538	77	33	be	be	AUX
ejpam-3538	77	34	transformed	transform	VERB
ejpam-3538	77	35	to	to	PART
ejpam-3538	77	36	discrete	discrete	VERB
ejpam-3538	77	37	form	form	NOUN
ejpam-3538	77	38	.	.	PUNCT
ejpam-3538	78	1	continuing	continue	VERB
ejpam-3538	78	2	the	the	DET
ejpam-3538	78	3	example	example	NOUN
ejpam-3538	78	4	of	of	ADP
ejpam-3538	78	5	solution	solution	NOUN
ejpam-3538	78	6	point	point	NOUN
ejpam-3538	78	7	c	c	NOUN
ejpam-3538	78	8	/	/	SYM
ejpam-3538	78	9	i	i	PRON
ejpam-3538	78	10	and	and	CCONJ
ejpam-3538	78	11	impose	impose	VERB
ejpam-3538	78	12	the	the	DET
ejpam-3538	78	13	conservation	conservation	NOUN
ejpam-3538	78	14	law	law	NOUN
ejpam-3538	78	15	6	6	NUM
ejpam-3538	78	16	on	on	ADP
ejpam-3538	78	17	its	its	PRON
ejpam-3538	78	18	ce	ce	PROPN
ejpam-3538	78	19	.	.	PROPN
ejpam-3538	79	1	contrary	contrary	ADJ
ejpam-3538	79	2	to	to	ADP
ejpam-3538	79	3	the	the	DET
ejpam-3538	79	4	finite	finite	ADJ
ejpam-3538	79	5	difference	difference	NOUN
ejpam-3538	79	6	schemes	scheme	NOUN
ejpam-3538	79	7	,	,	PUNCT
ejpam-3538	79	8	the	the	DET
ejpam-3538	79	9	cese	cese	ADJ
ejpam-3538	79	10	method	method	NOUN
ejpam-3538	79	11	is	be	AUX
ejpam-3538	79	12	extended	extend	VERB
ejpam-3538	79	13	to	to	ADP
ejpam-3538	79	14	higher	high	ADJ
ejpam-3538	79	15	order	order	NOUN
ejpam-3538	79	16	schemes	scheme	NOUN
ejpam-3538	79	17	based	base	VERB
ejpam-3538	79	18	on	on	ADP
ejpam-3538	79	19	same	same	ADJ
ejpam-3538	79	20	grid	grid	NOUN
ejpam-3538	79	21	and	and	CCONJ
ejpam-3538	79	22	associated	associate	VERB
ejpam-3538	79	23	ces	ce	NOUN
ejpam-3538	79	24	and	and	CCONJ
ejpam-3538	79	25	ses	se	NOUN
ejpam-3538	79	26	which	which	PRON
ejpam-3538	79	27	is	be	AUX
ejpam-3538	79	28	one	one	NUM
ejpam-3538	79	29	of	of	ADP
ejpam-3538	79	30	the	the	DET
ejpam-3538	79	31	reason	reason	NOUN
ejpam-3538	79	32	for	for	ADP
ejpam-3538	79	33	convenient	convenient	ADJ
ejpam-3538	79	34	extension	extension	NOUN
ejpam-3538	79	35	of	of	ADP
ejpam-3538	79	36	cese	cese	ADJ
ejpam-3538	79	37	scheme	scheme	NOUN
ejpam-3538	79	38	to	to	ADP
ejpam-3538	79	39	higher	high	ADJ
ejpam-3538	79	40	order	order	NOUN
ejpam-3538	79	41	as	as	SCONJ
ejpam-3538	79	42	compared	compare	VERB
ejpam-3538	79	43	to	to	ADP
ejpam-3538	79	44	other	other	ADJ
ejpam-3538	79	45	numerical	numerical	ADJ
ejpam-3538	79	46	methods	method	NOUN
ejpam-3538	79	47	.	.	PUNCT
ejpam-3538	80	1	equation	equation	NOUN
ejpam-3538	80	2	6	6	NUM
ejpam-3538	80	3	implies	imply	VERB
ejpam-3538	80	4	that	that	SCONJ
ejpam-3538	80	5	∮	∮	NUM
ejpam-3538	80	6	s(ce(c1	s(ce(c1	ADJ
ejpam-3538	80	7	)	)	PUNCT
ejpam-3538	80	8	)	)	PUNCT
ejpam-3538	81	1	hm	hm	INTJ
ejpam-3538	81	2	·	·	PUNCT
ejpam-3538	81	3	ds	ds	ADJ
ejpam-3538	81	4	=	=	SYM
ejpam-3538	81	5	∮	∮	ADJ
ejpam-3538	81	6	s(v1v2v3v4v	s(v1v2v3v4v	ADJ
ejpam-3538	81	7	′1v	′1v	NOUN
ejpam-3538	81	8	′2v	′2v	PROPN
ejpam-3538	81	9	′3v	′3v	PROPN
ejpam-3538	81	10	′4	′4	PROPN
ejpam-3538	81	11	)	)	PUNCT
ejpam-3538	81	12	hm	hm	INTJ
ejpam-3538	81	13	·	·	PUNCT
ejpam-3538	81	14	ds	ds	X
ejpam-3538	81	15	.	.	PUNCT
ejpam-3538	81	16	(	(	PUNCT
ejpam-3538	81	17	7	7	X
ejpam-3538	81	18	)	)	PUNCT
ejpam-3538	81	19	the	the	DET
ejpam-3538	81	20	solution	solution	NOUN
ejpam-3538	81	21	at	at	ADP
ejpam-3538	81	22	c	c	PROPN
ejpam-3538	81	23	′i	′i	PROPN
ejpam-3538	81	24	is	be	AUX
ejpam-3538	81	25	updated	update	VERB
ejpam-3538	81	26	by	by	ADP
ejpam-3538	81	27	carrying	carry	VERB
ejpam-3538	81	28	out	out	ADP
ejpam-3538	81	29	integration	integration	NOUN
ejpam-3538	81	30	over	over	ADP
ejpam-3538	81	31	the	the	DET
ejpam-3538	81	32	bottom	bottom	ADJ
ejpam-3538	81	33	surface	surface	PROPN
ejpam-3538	81	34	v1v2v3v4	v1v2v3v4	PROPN
ejpam-3538	81	35	,	,	PUNCT
ejpam-3538	81	36	side	side	NOUN
ejpam-3538	81	37	surfaces	surface	NOUN
ejpam-3538	81	38	v1v	v1v	PUNCT
ejpam-3538	81	39	′	′	NUM
ejpam-3538	81	40	1v2v	1v2v	NOUN
ejpam-3538	81	41	′	′	NUM
ejpam-3538	81	42	2	2	NUM
ejpam-3538	81	43	,	,	PUNCT
ejpam-3538	81	44	v2v	v2v	NOUN
ejpam-3538	81	45	′	′	NOUN
ejpam-3538	81	46	2v3v	2v3v	NOUN
ejpam-3538	81	47	′	′	NUM
ejpam-3538	81	48	3	3	NUM
ejpam-3538	81	49	,	,	PUNCT
ejpam-3538	81	50	v3v	v3v	VERB
ejpam-3538	81	51	′	′	NOUN
ejpam-3538	81	52	3v4v	3v4v	NUM
ejpam-3538	81	53	′	′	NUM
ejpam-3538	81	54	4	4	NUM
ejpam-3538	81	55	and	and	CCONJ
ejpam-3538	81	56	v4v	v4v	PROPN
ejpam-3538	81	57	′	′	NUM
ejpam-3538	81	58	4v1v	4v1v	NUM
ejpam-3538	81	59	′	′	NOUN
ejpam-3538	81	60	1	1	NUM
ejpam-3538	82	1	and	and	CCONJ
ejpam-3538	82	2	the	the	DET
ejpam-3538	82	3	top	top	ADJ
ejpam-3538	82	4	surface	surface	NOUN
ejpam-3538	82	5	v	v	ADP
ejpam-3538	82	6	′1v	′1v	NOUN
ejpam-3538	82	7	′	′	NUM
ejpam-3538	82	8	2v	2v	PROPN
ejpam-3538	82	9	′	′	NUM
ejpam-3538	82	10	3v	3v	NUM
ejpam-3538	83	1	′	′	NUM
ejpam-3538	83	2	4	4	NUM
ejpam-3538	83	3	.	.	PUNCT
ejpam-3538	84	1	the	the	DET
ejpam-3538	84	2	unit	unit	NOUN
ejpam-3538	84	3	outward	outward	VERB
ejpam-3538	84	4	normal	normal	ADJ
ejpam-3538	84	5	to	to	ADP
ejpam-3538	84	6	the	the	DET
ejpam-3538	84	7	bottom	bottom	ADJ
ejpam-3538	84	8	surface	surface	NOUN
ejpam-3538	84	9	is	be	AUX
ejpam-3538	84	10	(	(	PUNCT
ejpam-3538	84	11	0	0	NUM
ejpam-3538	84	12	,	,	PUNCT
ejpam-3538	84	13	0,−1	0,−1	NUM
ejpam-3538	84	14	)	)	PUNCT
ejpam-3538	84	15	.	.	PUNCT
ejpam-3538	85	1	hence	hence	ADV
ejpam-3538	85	2	only	only	ADV
ejpam-3538	85	3	space	space	NOUN
ejpam-3538	85	4	-	-	PUNCT
ejpam-3538	85	5	time	time	NOUN
ejpam-3538	85	6	flux	flux	NOUN
ejpam-3538	85	7	q	q	PROPN
ejpam-3538	85	8	passes	pass	VERB
ejpam-3538	85	9	through	through	ADP
ejpam-3538	85	10	this	this	DET
ejpam-3538	85	11	surface	surface	NOUN
ejpam-3538	85	12	.	.	PUNCT
ejpam-3538	86	1	as	as	SCONJ
ejpam-3538	86	2	seen	see	VERB
ejpam-3538	86	3	in	in	ADP
ejpam-3538	86	4	figure	figure	NOUN
ejpam-3538	86	5	2	2	NUM
ejpam-3538	86	6	,	,	PUNCT
ejpam-3538	86	7	the	the	DET
ejpam-3538	86	8	bottom	bottom	ADJ
ejpam-3538	86	9	surface	surface	NOUN
ejpam-3538	86	10	is	be	AUX
ejpam-3538	86	11	divided	divide	VERB
ejpam-3538	86	12	into	into	ADP
ejpam-3538	86	13	a.	a.	NOUN
ejpam-3538	86	14	sidrah	sidrah	PROPN
ejpam-3538	86	15	,	,	PUNCT
ejpam-3538	86	16	z.	z.	PROPN
ejpam-3538	86	17	saqib	saqib	PROPN
ejpam-3538	86	18	/	/	SYM
ejpam-3538	86	19	eur	eur	PROPN
ejpam-3538	86	20	.	.	PUNCT
ejpam-3538	87	1	j.	j.	PROPN
ejpam-3538	87	2	pure	pure	PROPN
ejpam-3538	87	3	appl	appl	PROPN
ejpam-3538	87	4	.	.	PROPN
ejpam-3538	87	5	math	math	PROPN
ejpam-3538	87	6	,	,	PUNCT
ejpam-3538	87	7	12	12	NUM
ejpam-3538	87	8	(	(	PUNCT
ejpam-3538	87	9	4	4	NUM
ejpam-3538	87	10	)	)	PUNCT
ejpam-3538	87	11	(	(	PUNCT
ejpam-3538	87	12	2019	2019	NUM
ejpam-3538	87	13	)	)	PUNCT
ejpam-3538	87	14	,	,	PUNCT
ejpam-3538	87	15	1464	1464	NUM
ejpam-3538	87	16	-	-	SYM
ejpam-3538	87	17	1482	1482	NUM
ejpam-3538	87	18	1468	1468	NUM
ejpam-3538	87	19	figure	figure	NOUN
ejpam-3538	87	20	2	2	NUM
ejpam-3538	87	21	:	:	PUNCT
ejpam-3538	87	22	schematic	schematic	ADJ
ejpam-3538	87	23	diagram	diagram	NOUN
ejpam-3538	87	24	of	of	ADP
ejpam-3538	87	25	ce	ce	PROPN
ejpam-3538	87	26	and	and	CCONJ
ejpam-3538	87	27	se	se	X
ejpam-3538	87	28	four	four	NUM
ejpam-3538	87	29	parts	part	NOUN
ejpam-3538	87	30	.	.	PUNCT
ejpam-3538	88	1	on	on	ADP
ejpam-3538	88	2	each	each	DET
ejpam-3538	88	3	part	part	NOUN
ejpam-3538	88	4	qm	qm	PROPN
ejpam-3538	88	5	is	be	AUX
ejpam-3538	88	6	approximated	approximate	VERB
ejpam-3538	88	7	by	by	ADP
ejpam-3538	88	8	third	third	ADJ
ejpam-3538	88	9	-	-	PUNCT
ejpam-3538	88	10	order	order	NOUN
ejpam-3538	88	11	taylor	taylor	NOUN
ejpam-3538	88	12	expansion	expansion	NOUN
ejpam-3538	88	13	at	at	ADP
ejpam-3538	88	14	points	point	NOUN
ejpam-3538	88	15	v1	v1	PROPN
ejpam-3538	88	16	,	,	PUNCT
ejpam-3538	88	17	v2	v2	PROPN
ejpam-3538	88	18	,	,	PUNCT
ejpam-3538	88	19	v3	v3	PROPN
ejpam-3538	88	20	,	,	PUNCT
ejpam-3538	88	21	v4	v4	PROPN
ejpam-3538	88	22	.	.	PUNCT
ejpam-3538	89	1	the	the	DET
ejpam-3538	89	2	integration	integration	NOUN
ejpam-3538	89	3	over	over	ADP
ejpam-3538	89	4	v1a2c1a1	v1a2c1a1	PROPN
ejpam-3538	89	5	is	be	AUX
ejpam-3538	89	6	carried	carry	VERB
ejpam-3538	89	7	out	out	ADP
ejpam-3538	89	8	using	use	VERB
ejpam-3538	89	9	the	the	DET
ejpam-3538	89	10	third	third	ADJ
ejpam-3538	89	11	-	-	PUNCT
ejpam-3538	89	12	order	order	NOUN
ejpam-3538	89	13	taylor	taylor	NOUN
ejpam-3538	89	14	expansion	expansion	NOUN
ejpam-3538	89	15	of	of	ADP
ejpam-3538	89	16	qm	qm	PROPN
ejpam-3538	89	17	at	at	ADP
ejpam-3538	89	18	the	the	DET
ejpam-3538	89	19	point	point	NOUN
ejpam-3538	89	20	v1	v1	NOUN
ejpam-3538	89	21	.	.	PUNCT
ejpam-3538	90	1	it	it	PRON
ejpam-3538	90	2	gives	give	VERB
ejpam-3538	90	3	following	follow	VERB
ejpam-3538	90	4	result:∫	result:∫	PROPN
ejpam-3538	90	5	i∆x	i∆x	PROPN
ejpam-3538	91	1	(	(	PUNCT
ejpam-3538	91	2	i−	i−	PROPN
ejpam-3538	91	3	1	1	NUM
ejpam-3538	91	4	2)∆x(j−	2)∆x(j−	NUM
ejpam-3538	91	5	1	1	NUM
ejpam-3538	91	6	2)∆y	2)∆y	NUM
ejpam-3538	91	7	{	{	PUNCT
ejpam-3538	91	8	(	(	PUNCT
ejpam-3538	91	9	qm)v1	qm)v1	PROPN
ejpam-3538	91	10	+	+	CCONJ
ejpam-3538	91	11	(	(	PUNCT
ejpam-3538	91	12	qmx)v1	qmx)v1	X
ejpam-3538	91	13	[	[	PUNCT
ejpam-3538	91	14	x−	x−	PROPN
ejpam-3538	91	15	(	(	PUNCT
ejpam-3538	91	16	i−	i−	PROPN
ejpam-3538	91	17	1	1	NUM
ejpam-3538	91	18	2	2	NUM
ejpam-3538	91	19	)	)	PUNCT
ejpam-3538	91	20	∆x	∆x	PROPN
ejpam-3538	91	21	]	]	PUNCT
ejpam-3538	92	1	+	+	CCONJ
ejpam-3538	92	2	(	(	PUNCT
ejpam-3538	92	3	qmy)v1	qmy)v1	X
ejpam-3538	92	4	[	[	PUNCT
ejpam-3538	92	5	y	y	PROPN
ejpam-3538	92	6	−	−	PROPN
ejpam-3538	92	7	(	(	PUNCT
ejpam-3538	92	8	j	j	PROPN
ejpam-3538	92	9	−	−	NUM
ejpam-3538	92	10	1	1	NUM
ejpam-3538	92	11	2	2	NUM
ejpam-3538	92	12	)	)	PUNCT
ejpam-3538	92	13	∆y	∆y	NOUN
ejpam-3538	92	14	]	]	PUNCT
ejpam-3538	93	1	+	+	CCONJ
ejpam-3538	93	2	1	1	NUM
ejpam-3538	93	3	2	2	NUM
ejpam-3538	93	4	(	(	PUNCT
ejpam-3538	93	5	qmxχ)v1	qmxχ)v1	PROPN
ejpam-3538	93	6	[	[	PUNCT
ejpam-3538	93	7	x−	x−	PROPN
ejpam-3538	93	8	(	(	PUNCT
ejpam-3538	93	9	i−	i−	PROPN
ejpam-3538	93	10	1	1	NUM
ejpam-3538	93	11	2	2	NUM
ejpam-3538	93	12	)	)	PUNCT
ejpam-3538	93	13	∆x	∆x	PROPN
ejpam-3538	94	1	]	]	SYM
ejpam-3538	94	2	2	2	NUM
ejpam-3538	94	3	+	+	CCONJ
ejpam-3538	94	4	1	1	NUM
ejpam-3538	94	5	2	2	NUM
ejpam-3538	94	6	(	(	PUNCT
ejpam-3538	94	7	qmyy)v1	qmyy)v1	PROPN
ejpam-3538	94	8	[	[	PUNCT
ejpam-3538	94	9	y	y	PROPN
ejpam-3538	94	10	−	−	PROPN
ejpam-3538	94	11	(	(	PUNCT
ejpam-3538	94	12	j	j	PROPN
ejpam-3538	94	13	−	−	NUM
ejpam-3538	94	14	1	1	NUM
ejpam-3538	94	15	2	2	NUM
ejpam-3538	94	16	)	)	PUNCT
ejpam-3538	94	17	∆y	∆y	NOUN
ejpam-3538	94	18	]	]	X
ejpam-3538	94	19	2	2	NUM
ejpam-3538	94	20	+	+	CCONJ
ejpam-3538	94	21	1	1	NUM
ejpam-3538	94	22	2	2	NUM
ejpam-3538	94	23	[	[	PUNCT
ejpam-3538	94	24	(	(	PUNCT
ejpam-3538	94	25	qmxy)v1	qmxy)v1	NOUN
ejpam-3538	94	26	+	+	PUNCT
ejpam-3538	94	27	(	(	PUNCT
ejpam-3538	94	28	qmyx)v1	qmyx)v1	INTJ
ejpam-3538	94	29	]	]	PUNCT
ejpam-3538	94	30	[	[	PUNCT
ejpam-3538	94	31	x−	x−	PROPN
ejpam-3538	94	32	(	(	PUNCT
ejpam-3538	94	33	i−	i−	PROPN
ejpam-3538	94	34	1	1	NUM
ejpam-3538	94	35	2	2	NUM
ejpam-3538	94	36	)	)	PUNCT
ejpam-3538	94	37	∆x	∆x	PROPN
ejpam-3538	94	38	]	]	PUNCT
ejpam-3538	95	1	[	[	PUNCT
ejpam-3538	95	2	y	y	PROPN
ejpam-3538	95	3	−	−	PROPN
ejpam-3538	95	4	(	(	PUNCT
ejpam-3538	95	5	j	j	PROPN
ejpam-3538	95	6	−	−	NUM
ejpam-3538	95	7	1	1	NUM
ejpam-3538	95	8	2	2	NUM
ejpam-3538	95	9	)	)	PUNCT
ejpam-3538	95	10	∆y	∆y	NOUN
ejpam-3538	95	11	]	]	PUNCT
ejpam-3538	96	1	+	+	CCONJ
ejpam-3538	96	2	1	1	NUM
ejpam-3538	96	3	6	6	NUM
ejpam-3538	96	4	(	(	PUNCT
ejpam-3538	96	5	qmxxx)v1	qmxxx)v1	PROPN
ejpam-3538	96	6	[	[	PUNCT
ejpam-3538	96	7	x−	x−	PROPN
ejpam-3538	96	8	(	(	PUNCT
ejpam-3538	96	9	i−	i−	PROPN
ejpam-3538	96	10	1	1	NUM
ejpam-3538	96	11	2	2	NUM
ejpam-3538	96	12	)	)	PUNCT
ejpam-3538	96	13	∆x	∆x	PROPN
ejpam-3538	96	14	]	]	SYM
ejpam-3538	96	15	3	3	NUM
ejpam-3538	96	16	+	+	CCONJ
ejpam-3538	96	17	1	1	NUM
ejpam-3538	96	18	6	6	NUM
ejpam-3538	96	19	(	(	PUNCT
ejpam-3538	96	20	qmyyy)v1	qmyyy)v1	CCONJ
ejpam-3538	96	21	[	[	PUNCT
ejpam-3538	96	22	y	y	NOUN
ejpam-3538	96	23	−	−	PROPN
ejpam-3538	97	1	(	(	PUNCT
ejpam-3538	97	2	j	j	PROPN
ejpam-3538	97	3	−	−	NUM
ejpam-3538	97	4	1	1	NUM
ejpam-3538	97	5	2	2	NUM
ejpam-3538	97	6	)	)	PUNCT
ejpam-3538	97	7	∆y	∆y	NOUN
ejpam-3538	97	8	]	]	X
ejpam-3538	97	9	3	3	NUM
ejpam-3538	97	10	+	+	CCONJ
ejpam-3538	97	11	1	1	NUM
ejpam-3538	97	12	6	6	NUM
ejpam-3538	97	13	[	[	PUNCT
ejpam-3538	97	14	(	(	PUNCT
ejpam-3538	97	15	qmyyx)v1	qmyyx)v1	ADP
ejpam-3538	97	16	+	+	CCONJ
ejpam-3538	97	17	(	(	PUNCT
ejpam-3538	97	18	qmyxy)v1	qmyxy)v1	PROPN
ejpam-3538	97	19	+	+	CCONJ
ejpam-3538	97	20	(	(	PUNCT
ejpam-3538	97	21	qmxyy)v1	qmxyy)v1	INTJ
ejpam-3538	97	22	]	]	PUNCT
ejpam-3538	97	23	[	[	PUNCT
ejpam-3538	97	24	y	y	PROPN
ejpam-3538	97	25	−	−	PROPN
ejpam-3538	97	26	(	(	PUNCT
ejpam-3538	97	27	j	j	PROPN
ejpam-3538	97	28	−	−	NUM
ejpam-3538	97	29	1	1	NUM
ejpam-3538	97	30	2	2	NUM
ejpam-3538	97	31	)	)	PUNCT
ejpam-3538	97	32	∆y	∆y	NOUN
ejpam-3538	97	33	]	]	X
ejpam-3538	97	34	2	2	NUM
ejpam-3538	97	35	[	[	PUNCT
ejpam-3538	97	36	x−	x−	PROPN
ejpam-3538	97	37	(	(	PUNCT
ejpam-3538	97	38	i−	i−	PROPN
ejpam-3538	97	39	1	1	NUM
ejpam-3538	97	40	2	2	NUM
ejpam-3538	97	41	)	)	PUNCT
ejpam-3538	97	42	∆x	∆x	PROPN
ejpam-3538	97	43	]	]	PUNCT
ejpam-3538	98	1	+	+	CCONJ
ejpam-3538	98	2	1	1	NUM
ejpam-3538	98	3	6	6	NUM
ejpam-3538	98	4	[	[	PUNCT
ejpam-3538	98	5	(	(	PUNCT
ejpam-3538	98	6	qmxxy)v1	qmxxy)v1	NOUN
ejpam-3538	98	7	+	+	CCONJ
ejpam-3538	98	8	(	(	PUNCT
ejpam-3538	98	9	umxyx)v1	umxyx)v1	SYM
ejpam-3538	98	10	+	+	CCONJ
ejpam-3538	99	1	(	(	PUNCT
ejpam-3538	99	2	qmyxx)v1	qmyxx)v1	INTJ
ejpam-3538	99	3	]	]	PUNCT
ejpam-3538	99	4	[	[	PUNCT
ejpam-3538	99	5	x−	x−	PROPN
ejpam-3538	99	6	(	(	PUNCT
ejpam-3538	99	7	i−	i−	PROPN
ejpam-3538	99	8	1	1	NUM
ejpam-3538	99	9	2	2	NUM
ejpam-3538	99	10	)	)	PUNCT
ejpam-3538	99	11	∆x	∆x	PROPN
ejpam-3538	99	12	]	]	SYM
ejpam-3538	99	13	2	2	NUM
ejpam-3538	99	14	[	[	PUNCT
ejpam-3538	99	15	y	y	NOUN
ejpam-3538	99	16	−	−	PROPN
ejpam-3538	99	17	(	(	PUNCT
ejpam-3538	99	18	j	j	PROPN
ejpam-3538	99	19	−	−	NUM
ejpam-3538	99	20	1	1	NUM
ejpam-3538	99	21	2	2	NUM
ejpam-3538	99	22	)	)	PUNCT
ejpam-3538	99	23	∆y	∆y	PROPN
ejpam-3538	99	24	]	]	PUNCT
ejpam-3538	99	25	}	}	PUNCT
ejpam-3538	99	26	dxdy	dxdy	NOUN
ejpam-3538	99	27	=	=	SYM
ejpam-3538	99	28	∆x∆y	∆x∆y	PROPN
ejpam-3538	99	29	4	4	NUM
ejpam-3538	99	30	{	{	PUNCT
ejpam-3538	99	31	(	(	PUNCT
ejpam-3538	99	32	qm)v1	qm)v1	PROPN
ejpam-3538	99	33	+	+	CCONJ
ejpam-3538	99	34	(	(	PUNCT
ejpam-3538	99	35	qmx)v1	qmx)v1	X
ejpam-3538	99	36	∆x	∆x	PROPN
ejpam-3538	99	37	4	4	NUM
ejpam-3538	99	38	+	+	CCONJ
ejpam-3538	99	39	(	(	PUNCT
ejpam-3538	99	40	qmy)v1	qmy)v1	NOUN
ejpam-3538	99	41	∆y	∆y	PROPN
ejpam-3538	99	42	4	4	NUM
ejpam-3538	99	43	+	+	CCONJ
ejpam-3538	99	44	(	(	PUNCT
ejpam-3538	99	45	qmxx)v1	qmxx)v1	PART
ejpam-3538	99	46	∆x2	∆x2	PRON
ejpam-3538	99	47	24	24	NUM
ejpam-3538	99	48	+	+	CCONJ
ejpam-3538	100	1	(	(	PUNCT
ejpam-3538	100	2	qmyy)v1	qmyy)v1	INTJ
ejpam-3538	100	3	∆y2	∆y2	PROPN
ejpam-3538	100	4	24	24	NUM
ejpam-3538	101	1	+	+	CCONJ
ejpam-3538	101	2	[	[	PUNCT
ejpam-3538	101	3	(	(	PUNCT
ejpam-3538	101	4	umxy)v1	umxy)v1	INTJ
ejpam-3538	101	5	+	+	PUNCT
ejpam-3538	101	6	(	(	PUNCT
ejpam-3538	101	7	qmyx)v1	qmyx)v1	INTJ
ejpam-3538	101	8	]	]	PUNCT
ejpam-3538	101	9	∆x∆y	∆x∆y	NOUN
ejpam-3538	101	10	32	32	NUM
ejpam-3538	101	11	+	+	CCONJ
ejpam-3538	101	12	(	(	PUNCT
ejpam-3538	101	13	qmxxx)v1	qmxxx)v1	INTJ
ejpam-3538	101	14	∆x3	∆x3	NOUN
ejpam-3538	101	15	192	192	NUM
ejpam-3538	101	16	+	+	CCONJ
ejpam-3538	101	17	(	(	PUNCT
ejpam-3538	101	18	qmyyy)v1	qmyyy)v1	DET
ejpam-3538	101	19	∆y3	∆y3	PROPN
ejpam-3538	101	20	192	192	NUM
ejpam-3538	101	21	+	+	CCONJ
ejpam-3538	101	22	[	[	PUNCT
ejpam-3538	101	23	(	(	PUNCT
ejpam-3538	101	24	qmyyx)v1	qmyyx)v1	ADP
ejpam-3538	101	25	+	+	CCONJ
ejpam-3538	101	26	(	(	PUNCT
ejpam-3538	101	27	qmyxy)v1	qmyxy)v1	PROPN
ejpam-3538	101	28	+	+	CCONJ
ejpam-3538	101	29	(	(	PUNCT
ejpam-3538	101	30	qmxyy)v1	qmxyy)v1	INTJ
ejpam-3538	101	31	]	]	PUNCT
ejpam-3538	101	32	∆y2∆x	∆y2∆x	NOUN
ejpam-3538	101	33	288	288	NUM
ejpam-3538	101	34	+	+	CCONJ
ejpam-3538	101	35	[	[	PUNCT
ejpam-3538	101	36	(	(	PUNCT
ejpam-3538	101	37	qmxxy)v1	qmxxy)v1	NOUN
ejpam-3538	101	38	+	+	CCONJ
ejpam-3538	101	39	(	(	PUNCT
ejpam-3538	101	40	qmxyx)v1	qmxyx)v1	NOUN
ejpam-3538	101	41	+	+	CCONJ
ejpam-3538	101	42	(	(	PUNCT
ejpam-3538	101	43	qmyxx)v1	qmyxx)v1	INTJ
ejpam-3538	101	44	]	]	PUNCT
ejpam-3538	101	45	∆x2∆y	∆x2∆y	NOUN
ejpam-3538	101	46	288	288	NUM
ejpam-3538	101	47	}	}	PUNCT
ejpam-3538	101	48	.	.	PUNCT
ejpam-3538	102	1	(	(	PUNCT
ejpam-3538	102	2	8)	8)	NUM
ejpam-3538	102	3	a.	a.	NOUN
ejpam-3538	102	4	sidrah	sidrah	PROPN
ejpam-3538	102	5	,	,	PUNCT
ejpam-3538	102	6	z.	z.	PROPN
ejpam-3538	102	7	saqib	saqib	PROPN
ejpam-3538	102	8	/	/	SYM
ejpam-3538	102	9	eur	eur	PROPN
ejpam-3538	102	10	.	.	PUNCT
ejpam-3538	103	1	j.	j.	PROPN
ejpam-3538	103	2	pure	pure	PROPN
ejpam-3538	103	3	appl	appl	PROPN
ejpam-3538	103	4	.	.	PROPN
ejpam-3538	103	5	math	math	PROPN
ejpam-3538	103	6	,	,	PUNCT
ejpam-3538	103	7	12	12	NUM
ejpam-3538	103	8	(	(	PUNCT
ejpam-3538	103	9	4	4	NUM
ejpam-3538	103	10	)	)	PUNCT
ejpam-3538	103	11	(	(	PUNCT
ejpam-3538	103	12	2019	2019	NUM
ejpam-3538	103	13	)	)	PUNCT
ejpam-3538	103	14	,	,	PUNCT
ejpam-3538	103	15	1464	1464	NUM
ejpam-3538	103	16	-	-	SYM
ejpam-3538	103	17	1482	1482	NUM
ejpam-3538	103	18	1469	1469	NUM
ejpam-3538	103	19	the	the	DET
ejpam-3538	103	20	integration	integration	NOUN
ejpam-3538	103	21	over	over	ADP
ejpam-3538	103	22	the	the	DET
ejpam-3538	103	23	surface	surface	NOUN
ejpam-3538	103	24	v2a2c1a3	v2a2c1a3	NOUN
ejpam-3538	103	25	results	result	VERB
ejpam-3538	103	26	as	as	ADP
ejpam-3538	103	27	follows:∫	follows:∫	X
ejpam-3538	103	28	(	(	PUNCT
ejpam-3538	103	29	i+	i+	NUM
ejpam-3538	104	1	1	1	NUM
ejpam-3538	104	2	2)∆x	2)∆x	NUM
ejpam-3538	104	3	i∆x	i∆x	PROPN
ejpam-3538	104	4	∫	∫	PROPN
ejpam-3538	104	5	j∆y	j∆y	PROPN
ejpam-3538	104	6	(	(	PUNCT
ejpam-3538	104	7	j−	j−	PROPN
ejpam-3538	104	8	1	1	NUM
ejpam-3538	104	9	2)∆y	2)∆y	NUM
ejpam-3538	104	10	{	{	PUNCT
ejpam-3538	104	11	(	(	PUNCT
ejpam-3538	104	12	qm)v2	qm)v2	PROPN
ejpam-3538	104	13	+	+	CCONJ
ejpam-3538	104	14	(	(	PUNCT
ejpam-3538	104	15	qmx)v2	qmx)v2	PROPN
ejpam-3538	104	16	[	[	PUNCT
ejpam-3538	104	17	x−	x−	PROPN
ejpam-3538	104	18	(	(	PUNCT
ejpam-3538	104	19	i+	i+	NOUN
ejpam-3538	104	20	1	1	NUM
ejpam-3538	104	21	2	2	NUM
ejpam-3538	104	22	)	)	PUNCT
ejpam-3538	104	23	∆x	∆x	PROPN
ejpam-3538	104	24	]	]	PUNCT
ejpam-3538	105	1	+	+	CCONJ
ejpam-3538	105	2	(	(	PUNCT
ejpam-3538	105	3	qmy)v2	qmy)v2	NOUN
ejpam-3538	105	4	[	[	PUNCT
ejpam-3538	105	5	y	y	NOUN
ejpam-3538	105	6	−	−	PROPN
ejpam-3538	105	7	(	(	PUNCT
ejpam-3538	105	8	j	j	PROPN
ejpam-3538	105	9	−	−	NUM
ejpam-3538	105	10	1	1	NUM
ejpam-3538	105	11	2	2	NUM
ejpam-3538	105	12	)	)	PUNCT
ejpam-3538	105	13	∆y	∆y	NOUN
ejpam-3538	105	14	]	]	PUNCT
ejpam-3538	106	1	+	+	CCONJ
ejpam-3538	106	2	1	1	NUM
ejpam-3538	106	3	2	2	NUM
ejpam-3538	106	4	(	(	PUNCT
ejpam-3538	106	5	qmxχ)v2	qmxχ)v2	PROPN
ejpam-3538	106	6	[	[	PUNCT
ejpam-3538	106	7	x−	x−	PROPN
ejpam-3538	106	8	(	(	PUNCT
ejpam-3538	106	9	i+	i+	NOUN
ejpam-3538	106	10	1	1	NUM
ejpam-3538	106	11	2	2	NUM
ejpam-3538	106	12	)	)	PUNCT
ejpam-3538	106	13	∆x	∆x	PROPN
ejpam-3538	106	14	]	]	SYM
ejpam-3538	106	15	2	2	NUM
ejpam-3538	106	16	+	+	CCONJ
ejpam-3538	106	17	1	1	NUM
ejpam-3538	106	18	2	2	NUM
ejpam-3538	106	19	(	(	PUNCT
ejpam-3538	106	20	qmyy)v2	qmyy)v2	PROPN
ejpam-3538	106	21	[	[	PUNCT
ejpam-3538	106	22	y	y	PROPN
ejpam-3538	106	23	−	−	PROPN
ejpam-3538	106	24	(	(	PUNCT
ejpam-3538	106	25	j	j	PROPN
ejpam-3538	106	26	−	−	NUM
ejpam-3538	106	27	1	1	NUM
ejpam-3538	106	28	2	2	NUM
ejpam-3538	106	29	)	)	PUNCT
ejpam-3538	106	30	∆y	∆y	NOUN
ejpam-3538	106	31	]	]	X
ejpam-3538	106	32	2	2	NUM
ejpam-3538	106	33	+	+	CCONJ
ejpam-3538	106	34	1	1	NUM
ejpam-3538	106	35	2	2	NUM
ejpam-3538	106	36	[	[	PUNCT
ejpam-3538	106	37	(	(	PUNCT
ejpam-3538	106	38	qmxy)v2	qmxy)v2	PROPN
ejpam-3538	106	39	+	+	CCONJ
ejpam-3538	106	40	(	(	PUNCT
ejpam-3538	106	41	qmyx)v2	qmyx)v2	PROPN
ejpam-3538	106	42	]	]	X
ejpam-3538	106	43	[	[	PUNCT
ejpam-3538	106	44	x−	x−	PROPN
ejpam-3538	106	45	(	(	PUNCT
ejpam-3538	106	46	i+	i+	NOUN
ejpam-3538	106	47	1	1	NUM
ejpam-3538	106	48	2	2	NUM
ejpam-3538	106	49	)	)	PUNCT
ejpam-3538	106	50	∆x	∆x	PROPN
ejpam-3538	106	51	]	]	PUNCT
ejpam-3538	107	1	[	[	PUNCT
ejpam-3538	107	2	y	y	PROPN
ejpam-3538	107	3	−	−	PROPN
ejpam-3538	107	4	(	(	PUNCT
ejpam-3538	107	5	j	j	PROPN
ejpam-3538	107	6	−	−	NUM
ejpam-3538	107	7	1	1	NUM
ejpam-3538	107	8	2	2	NUM
ejpam-3538	107	9	)	)	PUNCT
ejpam-3538	107	10	∆y	∆y	NOUN
ejpam-3538	107	11	]	]	PUNCT
ejpam-3538	108	1	+	+	CCONJ
ejpam-3538	108	2	1	1	NUM
ejpam-3538	108	3	6	6	NUM
ejpam-3538	108	4	(	(	PUNCT
ejpam-3538	108	5	qmxχx)v2	qmxχx)v2	PROPN
ejpam-3538	108	6	[	[	PUNCT
ejpam-3538	108	7	x−	x−	PROPN
ejpam-3538	108	8	(	(	PUNCT
ejpam-3538	108	9	i+	i+	NOUN
ejpam-3538	108	10	1	1	NUM
ejpam-3538	108	11	2	2	NUM
ejpam-3538	108	12	)	)	PUNCT
ejpam-3538	108	13	∆x	∆x	PROPN
ejpam-3538	108	14	]	]	SYM
ejpam-3538	108	15	3	3	NUM
ejpam-3538	108	16	+	+	CCONJ
ejpam-3538	108	17	1	1	NUM
ejpam-3538	108	18	6	6	NUM
ejpam-3538	108	19	(	(	PUNCT
ejpam-3538	108	20	qmyyy)v2	qmyyy)v2	PROPN
ejpam-3538	108	21	[	[	PUNCT
ejpam-3538	108	22	y	y	PROPN
ejpam-3538	108	23	−	−	PROPN
ejpam-3538	108	24	(	(	PUNCT
ejpam-3538	108	25	j	j	PROPN
ejpam-3538	108	26	−	−	NUM
ejpam-3538	108	27	1	1	NUM
ejpam-3538	108	28	2	2	NUM
ejpam-3538	108	29	)	)	PUNCT
ejpam-3538	108	30	∆y	∆y	NOUN
ejpam-3538	108	31	]	]	X
ejpam-3538	108	32	3	3	NUM
ejpam-3538	108	33	+	+	CCONJ
ejpam-3538	108	34	1	1	NUM
ejpam-3538	108	35	6	6	NUM
ejpam-3538	108	36	[	[	PUNCT
ejpam-3538	108	37	(	(	PUNCT
ejpam-3538	108	38	qmyyx)v2	qmyyx)v2	NOUN
ejpam-3538	108	39	+	+	CCONJ
ejpam-3538	108	40	(	(	PUNCT
ejpam-3538	108	41	qmyxy)v2	qmyxy)v2	PROPN
ejpam-3538	108	42	+	+	PROPN
ejpam-3538	108	43	(	(	PUNCT
ejpam-3538	108	44	qmxyy)v2	qmxyy)v2	PROPN
ejpam-3538	108	45	]	]	PUNCT
ejpam-3538	108	46	[	[	PUNCT
ejpam-3538	108	47	x−	x−	PROPN
ejpam-3538	108	48	(	(	PUNCT
ejpam-3538	108	49	i+	i+	NOUN
ejpam-3538	108	50	1	1	NUM
ejpam-3538	108	51	2	2	NUM
ejpam-3538	108	52	)	)	PUNCT
ejpam-3538	108	53	∆x	∆x	PROPN
ejpam-3538	108	54	]	]	PUNCT
ejpam-3538	109	1	[	[	PUNCT
ejpam-3538	109	2	y	y	PROPN
ejpam-3538	109	3	−	−	PROPN
ejpam-3538	109	4	(	(	PUNCT
ejpam-3538	109	5	j	j	PROPN
ejpam-3538	109	6	−	−	NUM
ejpam-3538	109	7	1	1	NUM
ejpam-3538	109	8	2	2	NUM
ejpam-3538	109	9	)	)	PUNCT
ejpam-3538	109	10	∆y	∆y	NOUN
ejpam-3538	109	11	]	]	X
ejpam-3538	109	12	2	2	NUM
ejpam-3538	109	13	+	+	CCONJ
ejpam-3538	109	14	1	1	NUM
ejpam-3538	109	15	6	6	NUM
ejpam-3538	109	16	[	[	PUNCT
ejpam-3538	109	17	(	(	PUNCT
ejpam-3538	109	18	qmxxy)v2	qmxxy)v2	PROPN
ejpam-3538	109	19	+	+	CCONJ
ejpam-3538	109	20	(	(	PUNCT
ejpam-3538	109	21	qmxyx)v2	qmxyx)v2	PROPN
ejpam-3538	109	22	+	+	CCONJ
ejpam-3538	109	23	(	(	PUNCT
ejpam-3538	109	24	qmy×x)v2	qmy×x)v2	PROPN
ejpam-3538	109	25	]	]	X
ejpam-3538	109	26	[	[	PUNCT
ejpam-3538	109	27	x−	x−	PROPN
ejpam-3538	109	28	(	(	PUNCT
ejpam-3538	109	29	i+	i+	NOUN
ejpam-3538	109	30	1	1	NUM
ejpam-3538	109	31	2	2	NUM
ejpam-3538	109	32	)	)	PUNCT
ejpam-3538	109	33	∆x	∆x	PROPN
ejpam-3538	109	34	]	]	SYM
ejpam-3538	109	35	2	2	NUM
ejpam-3538	109	36	[	[	PUNCT
ejpam-3538	109	37	y	y	NOUN
ejpam-3538	109	38	−	−	PROPN
ejpam-3538	110	1	(	(	PUNCT
ejpam-3538	110	2	j	j	PROPN
ejpam-3538	110	3	−	−	NUM
ejpam-3538	110	4	1	1	NUM
ejpam-3538	110	5	2	2	NUM
ejpam-3538	110	6	)	)	PUNCT
ejpam-3538	110	7	∆y	∆y	PROPN
ejpam-3538	110	8	]	]	PUNCT
ejpam-3538	110	9	}	}	PUNCT
ejpam-3538	110	10	dxdy	dxdy	NOUN
ejpam-3538	110	11	=	=	SYM
ejpam-3538	110	12	∆x∆y	∆x∆y	ADJ
ejpam-3538	110	13	4	4	NUM
ejpam-3538	110	14	{	{	PUNCT
ejpam-3538	110	15	(	(	PUNCT
ejpam-3538	110	16	qm)v2	qm)v2	PROPN
ejpam-3538	110	17	−	−	PROPN
ejpam-3538	110	18	(	(	PUNCT
ejpam-3538	110	19	qmx)v2	qmx)v2	NOUN
ejpam-3538	110	20	∆x	∆x	PROPN
ejpam-3538	110	21	4	4	NUM
ejpam-3538	110	22	+	+	CCONJ
ejpam-3538	110	23	(	(	PUNCT
ejpam-3538	110	24	qmy)v2	qmy)v2	NOUN
ejpam-3538	110	25	∆y	∆y	NOUN
ejpam-3538	110	26	4	4	NUM
ejpam-3538	110	27	+	+	CCONJ
ejpam-3538	110	28	(	(	PUNCT
ejpam-3538	110	29	qmxx)v2	qmxx)v2	PROPN
ejpam-3538	110	30	∆x2	∆x2	PRON
ejpam-3538	110	31	24	24	NUM
ejpam-3538	110	32	+	+	CCONJ
ejpam-3538	110	33	(	(	PUNCT
ejpam-3538	110	34	qmyy)v2	qmyy)v2	NOUN
ejpam-3538	110	35	∆y2	∆y2	PROPN
ejpam-3538	110	36	24	24	NUM
ejpam-3538	110	37	−	−	NOUN
ejpam-3538	111	1	[	[	PUNCT
ejpam-3538	111	2	(	(	PUNCT
ejpam-3538	111	3	qmxy)v2	qmxy)v2	PROPN
ejpam-3538	111	4	+	+	CCONJ
ejpam-3538	111	5	(	(	PUNCT
ejpam-3538	111	6	qmyx)v2	qmyx)v2	PROPN
ejpam-3538	111	7	]	]	PUNCT
ejpam-3538	111	8	∆x∆y	∆x∆y	ADJ
ejpam-3538	111	9	32	32	NUM
ejpam-3538	111	10	−	−	PROPN
ejpam-3538	111	11	(	(	PUNCT
ejpam-3538	111	12	qmxxx)v2	qmxxx)v2	PROPN
ejpam-3538	111	13	∆x3	∆x3	NOUN
ejpam-3538	111	14	192	192	NUM
ejpam-3538	111	15	+	+	CCONJ
ejpam-3538	111	16	(	(	PUNCT
ejpam-3538	111	17	qmyyy)v2	qmyyy)v2	PROPN
ejpam-3538	111	18	∆y3	∆y3	PROPN
ejpam-3538	111	19	192	192	NUM
ejpam-3538	111	20	−	−	NOUN
ejpam-3538	112	1	[	[	PUNCT
ejpam-3538	112	2	(	(	PUNCT
ejpam-3538	112	3	qmyyx)v2	qmyyx)v2	NOUN
ejpam-3538	112	4	+	+	CCONJ
ejpam-3538	112	5	(	(	PUNCT
ejpam-3538	112	6	qmyxy)v2	qmyxy)v2	PROPN
ejpam-3538	112	7	+	+	PROPN
ejpam-3538	112	8	(	(	PUNCT
ejpam-3538	112	9	qmxyy)v2	qmxyy)v2	PROPN
ejpam-3538	112	10	]	]	PUNCT
ejpam-3538	112	11	∆y2∆x	∆y2∆x	NOUN
ejpam-3538	112	12	288	288	NUM
ejpam-3538	112	13	+	+	CCONJ
ejpam-3538	112	14	[	[	PUNCT
ejpam-3538	112	15	(	(	PUNCT
ejpam-3538	112	16	qmxxy)v2	qmxxy)v2	PROPN
ejpam-3538	112	17	+	+	CCONJ
ejpam-3538	112	18	(	(	PUNCT
ejpam-3538	112	19	qmxyx)v2	qmxyx)v2	PROPN
ejpam-3538	112	20	+	+	CCONJ
ejpam-3538	112	21	(	(	PUNCT
ejpam-3538	112	22	qmyxx)v2	qmyxx)v2	PROPN
ejpam-3538	112	23	]	]	PUNCT
ejpam-3538	112	24	∆x2∆y	∆x2∆y	NOUN
ejpam-3538	112	25	288	288	NUM
ejpam-3538	112	26	}	}	PUNCT
ejpam-3538	112	27	.	.	PUNCT
ejpam-3538	113	1	(	(	PUNCT
ejpam-3538	113	2	9	9	X
ejpam-3538	113	3	)	)	PUNCT
ejpam-3538	113	4	the	the	DET
ejpam-3538	113	5	integration	integration	NOUN
ejpam-3538	113	6	over	over	ADP
ejpam-3538	113	7	polygon	polygon	PROPN
ejpam-3538	113	8	v3a3c1a4	v3a3c1a4	X
ejpam-3538	113	9	gives:∫	gives:∫	NOUN
ejpam-3538	113	10	(	(	PUNCT
ejpam-3538	113	11	i+	i+	NOUN
ejpam-3538	114	1	1	1	NUM
ejpam-3538	114	2	2)∆x(j+	2)∆x(j+	NUM
ejpam-3538	114	3	1	1	NUM
ejpam-3538	114	4	2)∆y	2)∆y	NUM
ejpam-3538	114	5	i∆x	i∆x	X
ejpam-3538	114	6	{	{	PUNCT
ejpam-3538	114	7	(	(	PUNCT
ejpam-3538	114	8	qm)v3	qm)v3	PROPN
ejpam-3538	114	9	+	+	CCONJ
ejpam-3538	114	10	(	(	PUNCT
ejpam-3538	114	11	qmx)v3	qmx)v3	NUM
ejpam-3538	114	12	[	[	PUNCT
ejpam-3538	114	13	x−	x−	PROPN
ejpam-3538	114	14	(	(	PUNCT
ejpam-3538	114	15	i+	i+	NOUN
ejpam-3538	114	16	1	1	NUM
ejpam-3538	114	17	2	2	NUM
ejpam-3538	114	18	)	)	PUNCT
ejpam-3538	114	19	∆x	∆x	PROPN
ejpam-3538	114	20	]	]	PUNCT
ejpam-3538	115	1	+	+	CCONJ
ejpam-3538	115	2	(	(	PUNCT
ejpam-3538	115	3	qmy)v3	qmy)v3	PROPN
ejpam-3538	115	4	[	[	PUNCT
ejpam-3538	115	5	y	y	PROPN
ejpam-3538	115	6	−	−	PROPN
ejpam-3538	115	7	(	(	PUNCT
ejpam-3538	115	8	j	j	PROPN
ejpam-3538	115	9	+	+	CCONJ
ejpam-3538	115	10	1	1	NUM
ejpam-3538	115	11	2	2	NUM
ejpam-3538	115	12	)	)	PUNCT
ejpam-3538	115	13	∆y	∆y	NOUN
ejpam-3538	115	14	]	]	PUNCT
ejpam-3538	116	1	+	+	CCONJ
ejpam-3538	116	2	1	1	NUM
ejpam-3538	116	3	2	2	NUM
ejpam-3538	116	4	(	(	PUNCT
ejpam-3538	116	5	qmxχ)v3	qmxχ)v3	PROPN
ejpam-3538	116	6	[	[	PUNCT
ejpam-3538	116	7	x−	x−	PROPN
ejpam-3538	116	8	(	(	PUNCT
ejpam-3538	116	9	i+	i+	NOUN
ejpam-3538	116	10	1	1	NUM
ejpam-3538	116	11	2	2	NUM
ejpam-3538	116	12	)	)	PUNCT
ejpam-3538	116	13	∆x	∆x	PROPN
ejpam-3538	116	14	]	]	SYM
ejpam-3538	116	15	2	2	NUM
ejpam-3538	116	16	+	+	CCONJ
ejpam-3538	116	17	1	1	NUM
ejpam-3538	116	18	2	2	NUM
ejpam-3538	116	19	(	(	PUNCT
ejpam-3538	116	20	qmyy)v3	qmyy)v3	PROPN
ejpam-3538	116	21	[	[	PUNCT
ejpam-3538	116	22	y	y	PROPN
ejpam-3538	116	23	−	−	PROPN
ejpam-3538	116	24	(	(	PUNCT
ejpam-3538	116	25	j	j	PROPN
ejpam-3538	116	26	+	+	CCONJ
ejpam-3538	116	27	1	1	NUM
ejpam-3538	116	28	2	2	NUM
ejpam-3538	116	29	)	)	PUNCT
ejpam-3538	116	30	∆y	∆y	NOUN
ejpam-3538	116	31	]	]	X
ejpam-3538	116	32	2	2	NUM
ejpam-3538	116	33	+	+	CCONJ
ejpam-3538	116	34	1	1	NUM
ejpam-3538	116	35	2	2	NUM
ejpam-3538	116	36	[	[	PUNCT
ejpam-3538	116	37	(	(	PUNCT
ejpam-3538	116	38	qmxy)v3	qmxy)v3	PROPN
ejpam-3538	116	39	+	+	CCONJ
ejpam-3538	116	40	(	(	PUNCT
ejpam-3538	116	41	qmyx)v3	qmyx)v3	NOUN
ejpam-3538	116	42	]	]	PUNCT
ejpam-3538	116	43	[	[	PUNCT
ejpam-3538	116	44	x−	x−	PROPN
ejpam-3538	116	45	(	(	PUNCT
ejpam-3538	116	46	i+	i+	NOUN
ejpam-3538	116	47	1	1	NUM
ejpam-3538	116	48	2	2	NUM
ejpam-3538	116	49	)	)	PUNCT
ejpam-3538	116	50	∆x	∆x	PROPN
ejpam-3538	116	51	]	]	PUNCT
ejpam-3538	117	1	[	[	PUNCT
ejpam-3538	117	2	y	y	PROPN
ejpam-3538	117	3	−	−	PROPN
ejpam-3538	117	4	(	(	PUNCT
ejpam-3538	117	5	j	j	PROPN
ejpam-3538	117	6	+	+	CCONJ
ejpam-3538	117	7	1	1	NUM
ejpam-3538	117	8	2	2	NUM
ejpam-3538	117	9	)	)	PUNCT
ejpam-3538	117	10	∆y	∆y	NOUN
ejpam-3538	117	11	]	]	PUNCT
ejpam-3538	118	1	+	+	CCONJ
ejpam-3538	118	2	1	1	NUM
ejpam-3538	118	3	6	6	NUM
ejpam-3538	118	4	(	(	PUNCT
ejpam-3538	118	5	qmxxx)v3	qmxxx)v3	PROPN
ejpam-3538	118	6	[	[	PUNCT
ejpam-3538	118	7	x−	x−	PROPN
ejpam-3538	118	8	(	(	PUNCT
ejpam-3538	118	9	i+	i+	NOUN
ejpam-3538	118	10	1	1	NUM
ejpam-3538	118	11	2	2	NUM
ejpam-3538	118	12	)	)	PUNCT
ejpam-3538	118	13	∆x	∆x	PROPN
ejpam-3538	118	14	]	]	SYM
ejpam-3538	118	15	3	3	NUM
ejpam-3538	118	16	+	+	CCONJ
ejpam-3538	118	17	1	1	NUM
ejpam-3538	118	18	6	6	NUM
ejpam-3538	118	19	(	(	PUNCT
ejpam-3538	118	20	qmyyy)v3	qmyyy)v3	NOUN
ejpam-3538	118	21	[	[	PUNCT
ejpam-3538	118	22	y	y	PROPN
ejpam-3538	118	23	−	−	PROPN
ejpam-3538	118	24	(	(	PUNCT
ejpam-3538	118	25	j	j	PROPN
ejpam-3538	118	26	+	+	CCONJ
ejpam-3538	118	27	1	1	NUM
ejpam-3538	118	28	2	2	NUM
ejpam-3538	118	29	)	)	PUNCT
ejpam-3538	118	30	∆y	∆y	NOUN
ejpam-3538	118	31	]	]	X
ejpam-3538	118	32	3	3	NUM
ejpam-3538	118	33	+	+	CCONJ
ejpam-3538	118	34	1	1	NUM
ejpam-3538	118	35	6	6	NUM
ejpam-3538	118	36	(	(	PUNCT
ejpam-3538	118	37	qmxxx)v3	qmxxx)v3	PROPN
ejpam-3538	118	38	[	[	PUNCT
ejpam-3538	118	39	x−	x−	PROPN
ejpam-3538	118	40	(	(	PUNCT
ejpam-3538	118	41	i+	i+	NOUN
ejpam-3538	118	42	1	1	NUM
ejpam-3538	118	43	2	2	NUM
ejpam-3538	118	44	)	)	PUNCT
ejpam-3538	118	45	∆x	∆x	PROPN
ejpam-3538	118	46	]	]	SYM
ejpam-3538	118	47	3	3	NUM
ejpam-3538	118	48	+	+	CCONJ
ejpam-3538	118	49	1	1	NUM
ejpam-3538	118	50	6	6	NUM
ejpam-3538	118	51	(	(	PUNCT
ejpam-3538	118	52	qmyyy)v3	qmyyy)v3	NOUN
ejpam-3538	118	53	[	[	PUNCT
ejpam-3538	118	54	y	y	PROPN
ejpam-3538	118	55	−	−	PROPN
ejpam-3538	118	56	(	(	PUNCT
ejpam-3538	118	57	j	j	PROPN
ejpam-3538	118	58	+	+	CCONJ
ejpam-3538	118	59	1	1	NUM
ejpam-3538	118	60	2	2	NUM
ejpam-3538	118	61	)	)	PUNCT
ejpam-3538	118	62	∆y	∆y	NOUN
ejpam-3538	118	63	]	]	X
ejpam-3538	118	64	3	3	NUM
ejpam-3538	118	65	+	+	CCONJ
ejpam-3538	118	66	1	1	NUM
ejpam-3538	118	67	6	6	NUM
ejpam-3538	118	68	[	[	PUNCT
ejpam-3538	118	69	(	(	PUNCT
ejpam-3538	118	70	qmyyx)v3	qmyyx)v3	PROPN
ejpam-3538	118	71	+	+	CCONJ
ejpam-3538	118	72	(	(	PUNCT
ejpam-3538	118	73	qmyxy)v3	qmyxy)v3	PROPN
ejpam-3538	118	74	+	+	CCONJ
ejpam-3538	118	75	(	(	PUNCT
ejpam-3538	118	76	qmxyy)v3	qmxyy)v3	NOUN
ejpam-3538	118	77	]	]	PUNCT
ejpam-3538	118	78	[	[	PUNCT
ejpam-3538	118	79	x−	x−	PROPN
ejpam-3538	118	80	(	(	PUNCT
ejpam-3538	118	81	i+	i+	NOUN
ejpam-3538	118	82	1	1	NUM
ejpam-3538	118	83	2	2	NUM
ejpam-3538	118	84	)	)	PUNCT
ejpam-3538	118	85	∆x	∆x	PROPN
ejpam-3538	118	86	]	]	PUNCT
ejpam-3538	119	1	[	[	PUNCT
ejpam-3538	119	2	y	y	PROPN
ejpam-3538	119	3	−	−	PROPN
ejpam-3538	119	4	(	(	PUNCT
ejpam-3538	119	5	j	j	PROPN
ejpam-3538	119	6	+	+	CCONJ
ejpam-3538	119	7	1	1	NUM
ejpam-3538	119	8	2	2	NUM
ejpam-3538	119	9	)	)	PUNCT
ejpam-3538	119	10	∆y	∆y	NOUN
ejpam-3538	119	11	]	]	X
ejpam-3538	119	12	2	2	NUM
ejpam-3538	119	13	+	+	CCONJ
ejpam-3538	119	14	1	1	NUM
ejpam-3538	119	15	6	6	NUM
ejpam-3538	119	16	[	[	PUNCT
ejpam-3538	119	17	(	(	PUNCT
ejpam-3538	119	18	qmxxy)v3	qmxxy)v3	INTJ
ejpam-3538	119	19	+	+	CCONJ
ejpam-3538	119	20	(	(	PUNCT
ejpam-3538	119	21	qmxyx)v3	qmxyx)v3	PROPN
ejpam-3538	119	22	+	+	CCONJ
ejpam-3538	119	23	(	(	PUNCT
ejpam-3538	119	24	qmyxx)v3	qmyxx)v3	NOUN
ejpam-3538	119	25	]	]	PUNCT
ejpam-3538	119	26	[	[	PUNCT
ejpam-3538	119	27	x−	x−	PROPN
ejpam-3538	119	28	(	(	PUNCT
ejpam-3538	119	29	i+	i+	NOUN
ejpam-3538	119	30	1	1	NUM
ejpam-3538	119	31	2	2	NUM
ejpam-3538	119	32	)	)	PUNCT
ejpam-3538	119	33	∆x	∆x	PROPN
ejpam-3538	119	34	]	]	SYM
ejpam-3538	119	35	2	2	NUM
ejpam-3538	119	36	[	[	PUNCT
ejpam-3538	119	37	y	y	NOUN
ejpam-3538	119	38	−	−	PROPN
ejpam-3538	120	1	(	(	PUNCT
ejpam-3538	120	2	j	j	PROPN
ejpam-3538	120	3	+	+	CCONJ
ejpam-3538	120	4	1	1	NUM
ejpam-3538	120	5	2	2	NUM
ejpam-3538	120	6	)	)	PUNCT
ejpam-3538	120	7	∆y	∆y	PROPN
ejpam-3538	120	8	]	]	PUNCT
ejpam-3538	120	9	}	}	PUNCT
ejpam-3538	120	10	dxdy	dxdy	PROPN
ejpam-3538	120	11	a.	a.	PROPN
ejpam-3538	120	12	sidrah	sidrah	PROPN
ejpam-3538	120	13	,	,	PUNCT
ejpam-3538	120	14	z.	z.	PROPN
ejpam-3538	120	15	saqib	saqib	PROPN
ejpam-3538	120	16	/	/	SYM
ejpam-3538	120	17	eur	eur	PROPN
ejpam-3538	120	18	.	.	PUNCT
ejpam-3538	121	1	j.	j.	PROPN
ejpam-3538	121	2	pure	pure	PROPN
ejpam-3538	121	3	appl	appl	PROPN
ejpam-3538	121	4	.	.	PROPN
ejpam-3538	121	5	math	math	PROPN
ejpam-3538	121	6	,	,	PUNCT
ejpam-3538	121	7	12	12	NUM
ejpam-3538	121	8	(	(	PUNCT
ejpam-3538	121	9	4	4	NUM
ejpam-3538	121	10	)	)	PUNCT
ejpam-3538	121	11	(	(	PUNCT
ejpam-3538	121	12	2019	2019	NUM
ejpam-3538	121	13	)	)	PUNCT
ejpam-3538	121	14	,	,	PUNCT
ejpam-3538	121	15	1464	1464	NUM
ejpam-3538	121	16	-	-	SYM
ejpam-3538	121	17	1482	1482	NUM
ejpam-3538	121	18	1470	1470	NUM
ejpam-3538	121	19	=	=	SYM
ejpam-3538	121	20	∆x∆y	∆x∆y	ADJ
ejpam-3538	121	21	4	4	NUM
ejpam-3538	121	22	{	{	PUNCT
ejpam-3538	121	23	(	(	PUNCT
ejpam-3538	121	24	qm)v3	qm)v3	PROPN
ejpam-3538	121	25	−	−	PROPN
ejpam-3538	121	26	(	(	PUNCT
ejpam-3538	121	27	qmx)v3	qmx)v3	NOUN
ejpam-3538	121	28	∆x	∆x	PROPN
ejpam-3538	121	29	4	4	NUM
ejpam-3538	121	30	−	−	NOUN
ejpam-3538	121	31	(	(	PUNCT
ejpam-3538	121	32	qmy)v3	qmy)v3	NOUN
ejpam-3538	121	33	∆y	∆y	PROPN
ejpam-3538	121	34	4	4	NUM
ejpam-3538	121	35	+	+	CCONJ
ejpam-3538	121	36	(	(	PUNCT
ejpam-3538	121	37	qmxx)v3	qmxx)v3	PROPN
ejpam-3538	121	38	1	1	NUM
ejpam-3538	121	39	24	24	NUM
ejpam-3538	121	40	∆x2	∆x2	NOUN
ejpam-3538	121	41	+	+	CCONJ
ejpam-3538	121	42	(	(	PUNCT
ejpam-3538	121	43	qmyy)v3	qmyy)v3	PROPN
ejpam-3538	121	44	1	1	NUM
ejpam-3538	121	45	24	24	NUM
ejpam-3538	121	46	∆y2	∆y2	PROPN
ejpam-3538	121	47	+	+	CCONJ
ejpam-3538	122	1	[	[	PUNCT
ejpam-3538	122	2	(	(	PUNCT
ejpam-3538	122	3	qmxy)v3	qmxy)v3	NOUN
ejpam-3538	122	4	+	+	CCONJ
ejpam-3538	122	5	(	(	PUNCT
ejpam-3538	122	6	qmyx)v3	qmyx)v3	PROPN
ejpam-3538	122	7	]	]	PUNCT
ejpam-3538	122	8	∆x∆y	∆x∆y	ADJ
ejpam-3538	122	9	32	32	NUM
ejpam-3538	122	10	−	−	PROPN
ejpam-3538	123	1	(	(	PUNCT
ejpam-3538	123	2	qmxxx)v3	qmxxx)v3	PROPN
ejpam-3538	123	3	∆x3	∆x3	PROPN
ejpam-3538	123	4	192	192	NUM
ejpam-3538	123	5	−	−	NOUN
ejpam-3538	123	6	(	(	PUNCT
ejpam-3538	123	7	qmyyy)v3	qmyyy)v3	NOUN
ejpam-3538	123	8	∆y3	∆y3	PROPN
ejpam-3538	123	9	192	192	NUM
ejpam-3538	123	10	−	−	NOUN
ejpam-3538	123	11	[	[	PUNCT
ejpam-3538	123	12	(	(	PUNCT
ejpam-3538	123	13	qmyyx)v3	qmyyx)v3	PROPN
ejpam-3538	123	14	+	+	CCONJ
ejpam-3538	123	15	(	(	PUNCT
ejpam-3538	123	16	qmyxy)v3	qmyxy)v3	PROPN
ejpam-3538	123	17	+	+	CCONJ
ejpam-3538	123	18	(	(	PUNCT
ejpam-3538	123	19	qmxyy)v3	qmxyy)v3	PROPN
ejpam-3538	123	20	]	]	PUNCT
ejpam-3538	123	21	∆y2∆x	∆y2∆x	ADJ
ejpam-3538	123	22	288	288	NUM
ejpam-3538	123	23	−	−	NOUN
ejpam-3538	123	24	[	[	PUNCT
ejpam-3538	123	25	(	(	PUNCT
ejpam-3538	123	26	qmxxy)v3	qmxxy)v3	INTJ
ejpam-3538	124	1	+	+	CCONJ
ejpam-3538	124	2	(	(	PUNCT
ejpam-3538	124	3	qmxyx)v3	qmxyx)v3	PROPN
ejpam-3538	124	4	+	+	CCONJ
ejpam-3538	124	5	(	(	PUNCT
ejpam-3538	124	6	qmyxx)v3	qmyxx)v3	PROPN
ejpam-3538	124	7	]	]	PUNCT
ejpam-3538	124	8	∆x2∆y	∆x2∆y	NOUN
ejpam-3538	124	9	288	288	NUM
ejpam-3538	124	10	}	}	PUNCT
ejpam-3538	124	11	.	.	PUNCT
ejpam-3538	125	1	(	(	PUNCT
ejpam-3538	125	2	10	10	NUM
ejpam-3538	125	3	)	)	PUNCT
ejpam-3538	125	4	finally	finally	ADV
ejpam-3538	125	5	,	,	PUNCT
ejpam-3538	125	6	integration	integration	NOUN
ejpam-3538	125	7	on	on	ADP
ejpam-3538	125	8	the	the	DET
ejpam-3538	125	9	part	part	NOUN
ejpam-3538	125	10	v4a1c1a4	v4a1c1a4	PROPN
ejpam-3538	125	11	gives:∫	gives:∫	NOUN
ejpam-3538	125	12	i∆x	i∆x	X
ejpam-3538	125	13	(	(	PUNCT
ejpam-3538	125	14	i−	i−	PROPN
ejpam-3538	125	15	1	1	NUM
ejpam-3538	125	16	2)∆x	2)∆x	NUM
ejpam-3538	125	17	∫	∫	PROPN
ejpam-3538	125	18	(	(	PUNCT
ejpam-3538	125	19	j+	j+	PROPN
ejpam-3538	125	20	1	1	NUM
ejpam-3538	125	21	2)∆y	2)∆y	NUM
ejpam-3538	125	22	j∆y	j∆y	NOUN
ejpam-3538	125	23	{	{	PUNCT
ejpam-3538	125	24	(	(	PUNCT
ejpam-3538	125	25	qm)v4	qm)v4	PROPN
ejpam-3538	125	26	+	+	CCONJ
ejpam-3538	125	27	(	(	PUNCT
ejpam-3538	125	28	qmx)v4	qmx)v4	X
ejpam-3538	125	29	[	[	PUNCT
ejpam-3538	125	30	x−	x−	PROPN
ejpam-3538	125	31	(	(	PUNCT
ejpam-3538	125	32	i−	i−	PROPN
ejpam-3538	125	33	1	1	NUM
ejpam-3538	125	34	2	2	NUM
ejpam-3538	125	35	)	)	PUNCT
ejpam-3538	125	36	∆x	∆x	PROPN
ejpam-3538	125	37	]	]	PUNCT
ejpam-3538	126	1	+	+	CCONJ
ejpam-3538	126	2	(	(	PUNCT
ejpam-3538	126	3	qmy)v4	qmy)v4	NUM
ejpam-3538	126	4	[	[	PUNCT
ejpam-3538	126	5	y	y	NOUN
ejpam-3538	126	6	−	−	PROPN
ejpam-3538	126	7	(	(	PUNCT
ejpam-3538	126	8	j	j	PROPN
ejpam-3538	126	9	+	+	CCONJ
ejpam-3538	126	10	1	1	NUM
ejpam-3538	126	11	2	2	NUM
ejpam-3538	126	12	)	)	PUNCT
ejpam-3538	126	13	∆y	∆y	NOUN
ejpam-3538	126	14	]	]	PUNCT
ejpam-3538	127	1	+	+	CCONJ
ejpam-3538	127	2	1	1	NUM
ejpam-3538	127	3	2	2	NUM
ejpam-3538	127	4	(	(	PUNCT
ejpam-3538	127	5	qmxx)v4	qmxx)v4	PROPN
ejpam-3538	127	6	[	[	PUNCT
ejpam-3538	127	7	χ−	χ−	PROPN
ejpam-3538	127	8	(	(	PUNCT
ejpam-3538	127	9	i−	i−	PROPN
ejpam-3538	127	10	1	1	NUM
ejpam-3538	127	11	2	2	NUM
ejpam-3538	127	12	)	)	PUNCT
ejpam-3538	127	13	∆x	∆x	PROPN
ejpam-3538	127	14	]	]	SYM
ejpam-3538	127	15	2	2	NUM
ejpam-3538	127	16	+	+	CCONJ
ejpam-3538	127	17	1	1	NUM
ejpam-3538	127	18	2	2	NUM
ejpam-3538	127	19	(	(	PUNCT
ejpam-3538	127	20	qmyy)v4	qmyy)v4	PROPN
ejpam-3538	127	21	[	[	PUNCT
ejpam-3538	127	22	y	y	PROPN
ejpam-3538	127	23	−	−	PROPN
ejpam-3538	127	24	(	(	PUNCT
ejpam-3538	127	25	j	j	PROPN
ejpam-3538	127	26	+	+	CCONJ
ejpam-3538	127	27	1	1	NUM
ejpam-3538	127	28	2	2	NUM
ejpam-3538	127	29	)	)	PUNCT
ejpam-3538	127	30	∆y	∆y	NOUN
ejpam-3538	127	31	]	]	X
ejpam-3538	127	32	2	2	NUM
ejpam-3538	127	33	+	+	CCONJ
ejpam-3538	127	34	1	1	NUM
ejpam-3538	127	35	2	2	NUM
ejpam-3538	127	36	[	[	PUNCT
ejpam-3538	127	37	(	(	PUNCT
ejpam-3538	127	38	qmxy)v4	qmxy)v4	NOUN
ejpam-3538	127	39	+	+	CCONJ
ejpam-3538	127	40	(	(	PUNCT
ejpam-3538	127	41	qmyx)v4	qmyx)v4	PROPN
ejpam-3538	127	42	]	]	PUNCT
ejpam-3538	127	43	[	[	PUNCT
ejpam-3538	127	44	x−	x−	PROPN
ejpam-3538	127	45	(	(	PUNCT
ejpam-3538	127	46	i−	i−	PROPN
ejpam-3538	127	47	1	1	NUM
ejpam-3538	127	48	2	2	NUM
ejpam-3538	127	49	)	)	PUNCT
ejpam-3538	127	50	∆x	∆x	PROPN
ejpam-3538	127	51	]	]	PUNCT
ejpam-3538	128	1	[	[	PUNCT
ejpam-3538	128	2	y	y	PROPN
ejpam-3538	128	3	−	−	PROPN
ejpam-3538	128	4	(	(	PUNCT
ejpam-3538	128	5	j	j	PROPN
ejpam-3538	128	6	+	+	CCONJ
ejpam-3538	128	7	1	1	NUM
ejpam-3538	128	8	2	2	NUM
ejpam-3538	128	9	)	)	PUNCT
ejpam-3538	128	10	∆y	∆y	NOUN
ejpam-3538	128	11	]	]	PUNCT
ejpam-3538	129	1	+	+	CCONJ
ejpam-3538	129	2	1	1	NUM
ejpam-3538	129	3	6	6	NUM
ejpam-3538	129	4	(	(	PUNCT
ejpam-3538	129	5	qmxxx)v4	qmxxx)v4	PROPN
ejpam-3538	129	6	[	[	PUNCT
ejpam-3538	129	7	x−	x−	PROPN
ejpam-3538	129	8	(	(	PUNCT
ejpam-3538	129	9	i−	i−	PROPN
ejpam-3538	129	10	1	1	NUM
ejpam-3538	129	11	2	2	NUM
ejpam-3538	129	12	)	)	PUNCT
ejpam-3538	129	13	∆x	∆x	PROPN
ejpam-3538	129	14	]	]	SYM
ejpam-3538	129	15	3	3	NUM
ejpam-3538	129	16	+	+	CCONJ
ejpam-3538	129	17	1	1	NUM
ejpam-3538	129	18	6	6	NUM
ejpam-3538	129	19	(	(	PUNCT
ejpam-3538	129	20	qmyyy)v4	qmyyy)v4	PROPN
ejpam-3538	129	21	[	[	PUNCT
ejpam-3538	129	22	y	y	PROPN
ejpam-3538	129	23	−	−	PROPN
ejpam-3538	129	24	(	(	PUNCT
ejpam-3538	129	25	j	j	PROPN
ejpam-3538	129	26	+	+	CCONJ
ejpam-3538	129	27	1	1	NUM
ejpam-3538	129	28	2	2	NUM
ejpam-3538	129	29	)	)	PUNCT
ejpam-3538	129	30	∆y	∆y	NOUN
ejpam-3538	129	31	]	]	X
ejpam-3538	129	32	3	3	NUM
ejpam-3538	129	33	+	+	CCONJ
ejpam-3538	129	34	1	1	NUM
ejpam-3538	129	35	6	6	NUM
ejpam-3538	129	36	[	[	PUNCT
ejpam-3538	129	37	(	(	PUNCT
ejpam-3538	129	38	qmyyx)v4	qmyyx)v4	NOUN
ejpam-3538	129	39	+	+	X
ejpam-3538	129	40	(	(	PUNCT
ejpam-3538	129	41	qmyxy)v4	qmyxy)v4	NOUN
ejpam-3538	129	42	+	+	CCONJ
ejpam-3538	129	43	(	(	PUNCT
ejpam-3538	129	44	qmxyy)v4	qmxyy)v4	PROPN
ejpam-3538	129	45	]	]	PUNCT
ejpam-3538	129	46	[	[	PUNCT
ejpam-3538	129	47	x−	x−	PROPN
ejpam-3538	129	48	(	(	PUNCT
ejpam-3538	129	49	i−	i−	PROPN
ejpam-3538	129	50	1	1	NUM
ejpam-3538	129	51	2	2	NUM
ejpam-3538	129	52	)	)	PUNCT
ejpam-3538	129	53	∆x	∆x	PROPN
ejpam-3538	129	54	]	]	PUNCT
ejpam-3538	130	1	[	[	PUNCT
ejpam-3538	130	2	y	y	PROPN
ejpam-3538	130	3	−	−	PROPN
ejpam-3538	130	4	(	(	PUNCT
ejpam-3538	130	5	j	j	PROPN
ejpam-3538	130	6	+	+	CCONJ
ejpam-3538	130	7	1	1	NUM
ejpam-3538	130	8	2	2	NUM
ejpam-3538	130	9	)	)	PUNCT
ejpam-3538	130	10	∆y	∆y	NOUN
ejpam-3538	130	11	]	]	X
ejpam-3538	130	12	2	2	NUM
ejpam-3538	130	13	+	+	CCONJ
ejpam-3538	130	14	1	1	NUM
ejpam-3538	130	15	6	6	NUM
ejpam-3538	130	16	[	[	PUNCT
ejpam-3538	130	17	(	(	PUNCT
ejpam-3538	130	18	qmxxy)v4	qmxxy)v4	PROPN
ejpam-3538	130	19	+	+	CCONJ
ejpam-3538	130	20	(	(	PUNCT
ejpam-3538	130	21	qmxyx)v4	qmxyx)v4	X
ejpam-3538	130	22	+	+	X
ejpam-3538	130	23	(	(	PUNCT
ejpam-3538	130	24	qmyxx)v4	qmyxx)v4	X
ejpam-3538	130	25	]	]	PUNCT
ejpam-3538	130	26	[	[	PUNCT
ejpam-3538	130	27	x−	x−	PROPN
ejpam-3538	130	28	(	(	PUNCT
ejpam-3538	130	29	i−	i−	PROPN
ejpam-3538	130	30	1	1	NUM
ejpam-3538	130	31	2	2	NUM
ejpam-3538	130	32	)	)	PUNCT
ejpam-3538	130	33	∆x	∆x	PROPN
ejpam-3538	130	34	]	]	SYM
ejpam-3538	130	35	2	2	NUM
ejpam-3538	130	36	[	[	PUNCT
ejpam-3538	130	37	y	y	NOUN
ejpam-3538	130	38	−	−	PROPN
ejpam-3538	131	1	(	(	PUNCT
ejpam-3538	131	2	j	j	PROPN
ejpam-3538	131	3	+	+	CCONJ
ejpam-3538	131	4	1	1	NUM
ejpam-3538	131	5	2	2	NUM
ejpam-3538	131	6	)	)	PUNCT
ejpam-3538	131	7	∆y	∆y	PROPN
ejpam-3538	131	8	]	]	PUNCT
ejpam-3538	131	9	}	}	PUNCT
ejpam-3538	131	10	dxdy	dxdy	NOUN
ejpam-3538	131	11	=	=	SYM
ejpam-3538	131	12	∆x∆y	∆x∆y	ADJ
ejpam-3538	131	13	4	4	NUM
ejpam-3538	131	14	{	{	PUNCT
ejpam-3538	131	15	(	(	PUNCT
ejpam-3538	131	16	qm)v4	qm)v4	PROPN
ejpam-3538	131	17	+	+	CCONJ
ejpam-3538	131	18	(	(	PUNCT
ejpam-3538	131	19	qmx)v4	qmx)v4	PROPN
ejpam-3538	131	20	∆x	∆x	PROPN
ejpam-3538	131	21	4	4	NUM
ejpam-3538	131	22	−	−	NOUN
ejpam-3538	131	23	(	(	PUNCT
ejpam-3538	131	24	qmy)v4	qmy)v4	NUM
ejpam-3538	131	25	∆y	∆y	PROPN
ejpam-3538	131	26	4	4	NUM
ejpam-3538	131	27	+	+	CCONJ
ejpam-3538	131	28	(	(	PUNCT
ejpam-3538	131	29	qmxx)v4	qmxx)v4	NOUN
ejpam-3538	131	30	∆x2	∆x2	NOUN
ejpam-3538	131	31	24	24	NUM
ejpam-3538	131	32	+	+	CCONJ
ejpam-3538	131	33	(	(	PUNCT
ejpam-3538	131	34	qmyy)v4	qmyy)v4	PROPN
ejpam-3538	131	35	∆y2	∆y2	PROPN
ejpam-3538	131	36	24	24	NUM
ejpam-3538	131	37	−	−	NOUN
ejpam-3538	132	1	[	[	PUNCT
ejpam-3538	132	2	(	(	PUNCT
ejpam-3538	132	3	qmxy)v4	qmxy)v4	NOUN
ejpam-3538	132	4	+	+	CCONJ
ejpam-3538	132	5	(	(	PUNCT
ejpam-3538	132	6	qmyx)v4	qmyx)v4	PROPN
ejpam-3538	132	7	]	]	PUNCT
ejpam-3538	132	8	∆x∆y	∆x∆y	NOUN
ejpam-3538	132	9	32	32	NUM
ejpam-3538	132	10	+	+	CCONJ
ejpam-3538	132	11	(	(	PUNCT
ejpam-3538	132	12	qmxxx)v4	qmxxx)v4	NOUN
ejpam-3538	132	13	∆x3	∆x3	NOUN
ejpam-3538	132	14	192	192	NUM
ejpam-3538	132	15	−	−	PROPN
ejpam-3538	132	16	(	(	PUNCT
ejpam-3538	132	17	qmyyy)v4	qmyyy)v4	PROPN
ejpam-3538	132	18	∆y3	∆y3	PROPN
ejpam-3538	132	19	192	192	NUM
ejpam-3538	133	1	+	+	CCONJ
ejpam-3538	133	2	[	[	PUNCT
ejpam-3538	133	3	(	(	PUNCT
ejpam-3538	133	4	qmyyx)v4	qmyyx)v4	NOUN
ejpam-3538	133	5	+	+	X
ejpam-3538	133	6	(	(	PUNCT
ejpam-3538	133	7	qmyxy)v4	qmyxy)v4	NOUN
ejpam-3538	133	8	+	+	CCONJ
ejpam-3538	133	9	(	(	PUNCT
ejpam-3538	133	10	qmxyy)v4	qmxyy)v4	PROPN
ejpam-3538	133	11	]	]	PUNCT
ejpam-3538	133	12	∆y2∆x	∆y2∆x	ADJ
ejpam-3538	133	13	288	288	NUM
ejpam-3538	133	14	−	−	NOUN
ejpam-3538	133	15	[	[	PUNCT
ejpam-3538	133	16	(	(	PUNCT
ejpam-3538	133	17	qmxxy)v4	qmxxy)v4	PROPN
ejpam-3538	133	18	+	+	CCONJ
ejpam-3538	133	19	(	(	PUNCT
ejpam-3538	133	20	qmxyx)v4	qmxyx)v4	X
ejpam-3538	133	21	+	+	X
ejpam-3538	133	22	(	(	PUNCT
ejpam-3538	133	23	qmyxχ)v4	qmyxχ)v4	NOUN
ejpam-3538	133	24	]	]	PUNCT
ejpam-3538	133	25	∆x2∆y	∆x2∆y	NOUN
ejpam-3538	133	26	288	288	NUM
ejpam-3538	133	27	}	}	PUNCT
ejpam-3538	133	28	.	.	PUNCT
ejpam-3538	134	1	(	(	PUNCT
ejpam-3538	134	2	11	11	NUM
ejpam-3538	134	3	)	)	PUNCT
ejpam-3538	134	4	the	the	DET
ejpam-3538	134	5	unit	unit	NOUN
ejpam-3538	134	6	outward	outward	VERB
ejpam-3538	134	7	normal	normal	ADJ
ejpam-3538	134	8	to	to	ADP
ejpam-3538	134	9	the	the	DET
ejpam-3538	134	10	side	side	NOUN
ejpam-3538	134	11	surfaces	surface	NOUN
ejpam-3538	134	12	v1v	v1v	PUNCT
ejpam-3538	134	13	′	′	NUM
ejpam-3538	134	14	1v	1v	NUM
ejpam-3538	134	15	′	′	NUM
ejpam-3538	134	16	2v2	2v2	NUM
ejpam-3538	134	17	and	and	CCONJ
ejpam-3538	134	18	v3v	v3v	NOUN
ejpam-3538	134	19	′	′	VERB
ejpam-3538	134	20	3v	3v	NUM
ejpam-3538	134	21	′	′	NUM
ejpam-3538	134	22	4v4	4v4	NUM
ejpam-3538	134	23	are	be	AUX
ejpam-3538	134	24	(	(	PUNCT
ejpam-3538	134	25	1	1	NUM
ejpam-3538	134	26	,	,	PUNCT
ejpam-3538	134	27	0	0	NUM
ejpam-3538	134	28	,	,	PUNCT
ejpam-3538	134	29	0	0	NUM
ejpam-3538	134	30	)	)	PUNCT
ejpam-3538	134	31	and	and	CCONJ
ejpam-3538	134	32	(	(	PUNCT
ejpam-3538	134	33	−1	−1	NOUN
ejpam-3538	134	34	,	,	PUNCT
ejpam-3538	134	35	0	0	NUM
ejpam-3538	134	36	,	,	PUNCT
ejpam-3538	134	37	0	0	NUM
ejpam-3538	134	38	)	)	PUNCT
ejpam-3538	134	39	respectively	respectively	ADV
ejpam-3538	134	40	.	.	PUNCT
ejpam-3538	135	1	hence	hence	ADV
ejpam-3538	135	2	only	only	ADV
ejpam-3538	135	3	space	space	NOUN
ejpam-3538	135	4	-	-	PUNCT
ejpam-3538	135	5	time	time	NOUN
ejpam-3538	135	6	flux	flux	PROPN
ejpam-3538	135	7	f	f	PROPN
ejpam-3538	135	8	passes	pass	VERB
ejpam-3538	135	9	through	through	ADP
ejpam-3538	135	10	these	these	DET
ejpam-3538	135	11	planes	plane	NOUN
ejpam-3538	135	12	.	.	PUNCT
ejpam-3538	136	1	each	each	DET
ejpam-3538	136	2	side	side	NOUN
ejpam-3538	136	3	surface	surface	NOUN
ejpam-3538	136	4	is	be	AUX
ejpam-3538	136	5	divided	divide	VERB
ejpam-3538	136	6	into	into	ADP
ejpam-3538	136	7	two	two	NUM
ejpam-3538	136	8	parts	part	NOUN
ejpam-3538	136	9	and	and	CCONJ
ejpam-3538	136	10	the	the	DET
ejpam-3538	136	11	integration	integration	NOUN
ejpam-3538	136	12	over	over	ADP
ejpam-3538	136	13	each	each	DET
ejpam-3538	136	14	part	part	NOUN
ejpam-3538	136	15	is	be	AUX
ejpam-3538	136	16	carried	carry	VERB
ejpam-3538	136	17	out	out	ADP
ejpam-3538	136	18	using	use	VERB
ejpam-3538	136	19	the	the	DET
ejpam-3538	136	20	third	third	ADJ
ejpam-3538	136	21	-	-	PUNCT
ejpam-3538	136	22	order	order	NOUN
ejpam-3538	136	23	taylor	taylor	NOUN
ejpam-3538	136	24	expansion	expansion	NOUN
ejpam-3538	136	25	of	of	ADP
ejpam-3538	136	26	fluxes	flux	NOUN
ejpam-3538	136	27	at	at	ADP
ejpam-3538	136	28	the	the	DET
ejpam-3538	136	29	near	near	ADJ
ejpam-3538	136	30	solution	solution	NOUN
ejpam-3538	136	31	point	point	NOUN
ejpam-3538	136	32	.	.	PUNCT
ejpam-3538	137	1	consider	consider	VERB
ejpam-3538	137	2	v1v	v1v	PUNCT
ejpam-3538	137	3	′	′	ADJ
ejpam-3538	137	4	1v4v	1v4v	NUM
ejpam-3538	138	1	′	′	NUM
ejpam-3538	138	2	4	4	NUM
ejpam-3538	138	3	as	as	ADP
ejpam-3538	138	4	an	an	DET
ejpam-3538	138	5	example	example	NOUN
ejpam-3538	138	6	.	.	PUNCT
ejpam-3538	139	1	it	it	PRON
ejpam-3538	139	2	is	be	AUX
ejpam-3538	139	3	the	the	DET
ejpam-3538	139	4	union	union	NOUN
ejpam-3538	139	5	of	of	ADP
ejpam-3538	139	6	two	two	NUM
ejpam-3538	139	7	polygons	polygon	NOUN
ejpam-3538	139	8	v1v	v1v	PUNCT
ejpam-3538	139	9	′	′	NUM
ejpam-3538	139	10	1a1a	1a1a	NUM
ejpam-3538	139	11	′	′	NOUN
ejpam-3538	139	12	1	1	NUM
ejpam-3538	139	13	anda1a	anda1a	NOUN
ejpam-3538	139	14	′	′	NUM
ejpam-3538	139	15	1v4v	1v4v	NUM
ejpam-3538	139	16	′	′	NUM
ejpam-3538	139	17	4	4	NUM
ejpam-3538	139	18	.	.	PUNCT
ejpam-3538	140	1	the	the	DET
ejpam-3538	140	2	integration	integration	NOUN
ejpam-3538	140	3	over	over	ADP
ejpam-3538	140	4	v1v	v1v	PRON
ejpam-3538	140	5	′	′	NUM
ejpam-3538	140	6	1a1a	1a1a	NUM
ejpam-3538	140	7	′	′	NUM
ejpam-3538	140	8	1	1	NUM
ejpam-3538	140	9	uses	use	VERB
ejpam-3538	140	10	the	the	DET
ejpam-3538	140	11	taylor	taylor	PROPN
ejpam-3538	140	12	expansion	expansion	NOUN
ejpam-3538	140	13	of	of	ADP
ejpam-3538	140	14	fm	fm	PROPN
ejpam-3538	140	15	at	at	ADP
ejpam-3538	140	16	v1	v1	PROPN
ejpam-3538	140	17	and	and	CCONJ
ejpam-3538	140	18	the	the	DET
ejpam-3538	140	19	integration	integration	NOUN
ejpam-3538	140	20	over	over	ADP
ejpam-3538	140	21	a1a	a1a	PROPN
ejpam-3538	140	22	′	′	ADJ
ejpam-3538	140	23	1v4v	1v4v	NUM
ejpam-3538	141	1	′	′	NUM
ejpam-3538	141	2	4	4	NUM
ejpam-3538	141	3	uses	use	VERB
ejpam-3538	141	4	the	the	DET
ejpam-3538	141	5	taylor	taylor	PROPN
ejpam-3538	141	6	expansion	expansion	NOUN
ejpam-3538	141	7	of	of	ADP
ejpam-3538	141	8	fm	fm	PROPN
ejpam-3538	141	9	at	at	ADP
ejpam-3538	141	10	v4	v4	PROPN
ejpam-3538	141	11	.	.	PUNCT
ejpam-3538	142	1	the	the	DET
ejpam-3538	142	2	integration	integration	NOUN
ejpam-3538	142	3	over	over	ADP
ejpam-3538	142	4	the	the	DET
ejpam-3538	142	5	surface	surface	NOUN
ejpam-3538	142	6	v1v	v1v	PUNCT
ejpam-3538	142	7	′	′	NUM
ejpam-3538	142	8	1a1a	1a1a	NUM
ejpam-3538	142	9	′	′	NUM
ejpam-3538	142	10	1	1	NUM
ejpam-3538	142	11	implies	imply	VERB
ejpam-3538	142	12	following	follow	VERB
ejpam-3538	142	13	results:∫	results:∫	NOUN
ejpam-3538	142	14	j∆y	j∆y	NOUN
ejpam-3538	142	15	(	(	PUNCT
ejpam-3538	142	16	j−	j−	PROPN
ejpam-3538	142	17	1	1	NUM
ejpam-3538	142	18	2)∆y(k−	2)∆y(k−	NUM
ejpam-3538	142	19	1	1	NUM
ejpam-3538	142	20	2)∆t	2)∆t	NUM
ejpam-3538	142	21	{	{	PUNCT
ejpam-3538	142	22	(	(	PUNCT
ejpam-3538	142	23	fm)v1	fm)v1	NOUN
ejpam-3538	142	24	+	+	CCONJ
ejpam-3538	142	25	(	(	PUNCT
ejpam-3538	142	26	fmy)v1	fmy)v1	NUM
ejpam-3538	142	27	[	[	PUNCT
ejpam-3538	142	28	y	y	PROPN
ejpam-3538	142	29	−	−	PROPN
ejpam-3538	142	30	(	(	PUNCT
ejpam-3538	142	31	j	j	PROPN
ejpam-3538	142	32	−	−	NUM
ejpam-3538	142	33	1	1	NUM
ejpam-3538	142	34	2	2	NUM
ejpam-3538	142	35	)	)	PUNCT
ejpam-3538	142	36	∆y	∆y	NOUN
ejpam-3538	142	37	]	]	PUNCT
ejpam-3538	143	1	+	+	CCONJ
ejpam-3538	143	2	(	(	PUNCT
ejpam-3538	143	3	fmt)v1	fmt)v1	PROPN
ejpam-3538	143	4	[	[	PUNCT
ejpam-3538	143	5	t−	t−	PROPN
ejpam-3538	143	6	(	(	PUNCT
ejpam-3538	143	7	k	k	NOUN
ejpam-3538	143	8	−	−	PROPN
ejpam-3538	143	9	1	1	NUM
ejpam-3538	143	10	2	2	NUM
ejpam-3538	143	11	)	)	PUNCT
ejpam-3538	143	12	∆t	∆t	PROPN
ejpam-3538	143	13	]	]	PUNCT
ejpam-3538	143	14	a.	a.	NOUN
ejpam-3538	143	15	sidrah	sidrah	PROPN
ejpam-3538	143	16	,	,	PUNCT
ejpam-3538	143	17	z.	z.	PROPN
ejpam-3538	143	18	saqib	saqib	PROPN
ejpam-3538	143	19	/	/	SYM
ejpam-3538	143	20	eur	eur	PROPN
ejpam-3538	143	21	.	.	PUNCT
ejpam-3538	144	1	j.	j.	PROPN
ejpam-3538	144	2	pure	pure	PROPN
ejpam-3538	144	3	appl	appl	PROPN
ejpam-3538	144	4	.	.	PROPN
ejpam-3538	144	5	math	math	PROPN
ejpam-3538	144	6	,	,	PUNCT
ejpam-3538	144	7	12	12	NUM
ejpam-3538	144	8	(	(	PUNCT
ejpam-3538	144	9	4	4	NUM
ejpam-3538	144	10	)	)	PUNCT
ejpam-3538	144	11	(	(	PUNCT
ejpam-3538	144	12	2019	2019	NUM
ejpam-3538	144	13	)	)	PUNCT
ejpam-3538	144	14	,	,	PUNCT
ejpam-3538	144	15	1464	1464	NUM
ejpam-3538	144	16	-	-	SYM
ejpam-3538	144	17	1482	1482	NUM
ejpam-3538	144	18	1471	1471	NUM
ejpam-3538	144	19	+	+	CCONJ
ejpam-3538	144	20	1	1	NUM
ejpam-3538	144	21	2	2	NUM
ejpam-3538	144	22	(	(	PUNCT
ejpam-3538	144	23	fmyy)v1	fmyy)v1	PROPN
ejpam-3538	144	24	[	[	PUNCT
ejpam-3538	144	25	y	y	PROPN
ejpam-3538	144	26	−	−	PROPN
ejpam-3538	144	27	(	(	PUNCT
ejpam-3538	144	28	j	j	PROPN
ejpam-3538	144	29	−	−	NUM
ejpam-3538	144	30	1	1	NUM
ejpam-3538	144	31	2	2	NUM
ejpam-3538	144	32	)	)	PUNCT
ejpam-3538	144	33	∆y	∆y	NOUN
ejpam-3538	144	34	]	]	X
ejpam-3538	144	35	2	2	NUM
ejpam-3538	144	36	+	+	CCONJ
ejpam-3538	144	37	1	1	NUM
ejpam-3538	144	38	2	2	NUM
ejpam-3538	144	39	(	(	PUNCT
ejpam-3538	144	40	fmtt)v1	fmtt)v1	PROPN
ejpam-3538	144	41	[	[	PUNCT
ejpam-3538	144	42	t−	t−	PROPN
ejpam-3538	144	43	(	(	PUNCT
ejpam-3538	144	44	k	k	NOUN
ejpam-3538	144	45	−	−	PROPN
ejpam-3538	144	46	1	1	NUM
ejpam-3538	144	47	2	2	NUM
ejpam-3538	144	48	)	)	PUNCT
ejpam-3538	144	49	∆t	∆t	PROPN
ejpam-3538	144	50	]	]	SYM
ejpam-3538	144	51	2	2	NUM
ejpam-3538	144	52	+	+	CCONJ
ejpam-3538	144	53	(	(	PUNCT
ejpam-3538	144	54	fmyt)v1	fmyt)v1	PROPN
ejpam-3538	144	55	[	[	PUNCT
ejpam-3538	144	56	y	y	NOUN
ejpam-3538	144	57	−	−	PROPN
ejpam-3538	144	58	(	(	PUNCT
ejpam-3538	144	59	j	j	PROPN
ejpam-3538	144	60	−	−	NUM
ejpam-3538	144	61	1	1	NUM
ejpam-3538	144	62	2	2	NUM
ejpam-3538	144	63	)	)	PUNCT
ejpam-3538	144	64	∆y	∆y	NOUN
ejpam-3538	144	65	]	]	PUNCT
ejpam-3538	144	66	[	[	PUNCT
ejpam-3538	144	67	t−	t−	PROPN
ejpam-3538	144	68	(	(	PUNCT
ejpam-3538	144	69	k	k	NOUN
ejpam-3538	144	70	−	−	PROPN
ejpam-3538	144	71	1	1	NUM
ejpam-3538	144	72	2	2	NUM
ejpam-3538	144	73	)	)	PUNCT
ejpam-3538	144	74	∆t	∆t	PROPN
ejpam-3538	144	75	]	]	PUNCT
ejpam-3538	145	1	+	+	CCONJ
ejpam-3538	145	2	1	1	NUM
ejpam-3538	145	3	6	6	NUM
ejpam-3538	145	4	(	(	PUNCT
ejpam-3538	145	5	fmyyy)v1	fmyyy)v1	PROPN
ejpam-3538	145	6	[	[	PUNCT
ejpam-3538	145	7	y	y	NOUN
ejpam-3538	145	8	−	−	PROPN
ejpam-3538	145	9	(	(	PUNCT
ejpam-3538	145	10	j	j	PROPN
ejpam-3538	145	11	−	−	NUM
ejpam-3538	145	12	1	1	NUM
ejpam-3538	145	13	2	2	NUM
ejpam-3538	145	14	)	)	PUNCT
ejpam-3538	145	15	∆y	∆y	NOUN
ejpam-3538	145	16	]	]	X
ejpam-3538	145	17	3	3	NUM
ejpam-3538	145	18	+	+	CCONJ
ejpam-3538	145	19	1	1	NUM
ejpam-3538	145	20	6	6	NUM
ejpam-3538	145	21	(	(	PUNCT
ejpam-3538	145	22	fmttt)v1	fmttt)v1	PROPN
ejpam-3538	145	23	[	[	PUNCT
ejpam-3538	145	24	t−	t−	PROPN
ejpam-3538	145	25	(	(	PUNCT
ejpam-3538	145	26	k	k	NOUN
ejpam-3538	145	27	−	−	PROPN
ejpam-3538	145	28	1	1	NUM
ejpam-3538	145	29	2	2	NUM
ejpam-3538	145	30	)	)	PUNCT
ejpam-3538	145	31	∆t	∆t	PROPN
ejpam-3538	145	32	]	]	SYM
ejpam-3538	145	33	3	3	NUM
ejpam-3538	145	34	+	+	CCONJ
ejpam-3538	145	35	1	1	NUM
ejpam-3538	145	36	2	2	NUM
ejpam-3538	145	37	(	(	PUNCT
ejpam-3538	145	38	fmyyt)v1	fmyyt)v1	PROPN
ejpam-3538	145	39	[	[	PUNCT
ejpam-3538	145	40	y	y	NOUN
ejpam-3538	145	41	−	−	PROPN
ejpam-3538	146	1	(	(	PUNCT
ejpam-3538	146	2	j	j	PROPN
ejpam-3538	146	3	−	−	NUM
ejpam-3538	146	4	1	1	NUM
ejpam-3538	146	5	2	2	NUM
ejpam-3538	146	6	)	)	PUNCT
ejpam-3538	146	7	∆y	∆y	NOUN
ejpam-3538	146	8	]	]	X
ejpam-3538	146	9	2	2	NUM
ejpam-3538	146	10	[	[	PUNCT
ejpam-3538	146	11	t−	t−	PROPN
ejpam-3538	146	12	(	(	PUNCT
ejpam-3538	146	13	k	k	NOUN
ejpam-3538	146	14	−	−	PROPN
ejpam-3538	146	15	1	1	NUM
ejpam-3538	146	16	2	2	NUM
ejpam-3538	146	17	)	)	PUNCT
ejpam-3538	146	18	∆t	∆t	PROPN
ejpam-3538	146	19	]	]	PUNCT
ejpam-3538	147	1	+	+	CCONJ
ejpam-3538	147	2	1	1	NUM
ejpam-3538	147	3	2	2	NUM
ejpam-3538	147	4	(	(	PUNCT
ejpam-3538	147	5	fmytt)v1	fmytt)v1	PROPN
ejpam-3538	147	6	[	[	PUNCT
ejpam-3538	147	7	y	y	PROPN
ejpam-3538	147	8	−	−	PROPN
ejpam-3538	147	9	(	(	PUNCT
ejpam-3538	147	10	j	j	PROPN
ejpam-3538	147	11	−	−	NUM
ejpam-3538	147	12	1	1	NUM
ejpam-3538	147	13	2	2	NUM
ejpam-3538	147	14	)	)	PUNCT
ejpam-3538	147	15	∆y	∆y	NOUN
ejpam-3538	147	16	]	]	PUNCT
ejpam-3538	147	17	[	[	PUNCT
ejpam-3538	147	18	t−	t−	PROPN
ejpam-3538	147	19	(	(	PUNCT
ejpam-3538	147	20	k	k	NOUN
ejpam-3538	147	21	−	−	PROPN
ejpam-3538	147	22	1	1	NUM
ejpam-3538	147	23	2	2	NUM
ejpam-3538	147	24	)	)	PUNCT
ejpam-3538	147	25	∆t	∆t	PROPN
ejpam-3538	147	26	]	]	SYM
ejpam-3538	147	27	2	2	NUM
ejpam-3538	147	28	}	}	PUNCT
ejpam-3538	147	29	dydt	dydt	NOUN
ejpam-3538	147	30	=	=	PUNCT
ejpam-3538	147	31	∆y∆t	∆y∆t	NOUN
ejpam-3538	147	32	4	4	NUM
ejpam-3538	147	33	{	{	PUNCT
ejpam-3538	147	34	(	(	PUNCT
ejpam-3538	147	35	fm)v1	fm)v1	NOUN
ejpam-3538	147	36	+	+	CCONJ
ejpam-3538	147	37	(	(	PUNCT
ejpam-3538	147	38	fmy)v1	fmy)v1	NUM
ejpam-3538	147	39	∆y	∆y	PROPN
ejpam-3538	147	40	4	4	NUM
ejpam-3538	147	41	+	+	CCONJ
ejpam-3538	147	42	(	(	PUNCT
ejpam-3538	147	43	fmt)v1	fmt)v1	PROPN
ejpam-3538	147	44	∆t	∆t	PROPN
ejpam-3538	147	45	4	4	NUM
ejpam-3538	147	46	+	+	CCONJ
ejpam-3538	147	47	(	(	PUNCT
ejpam-3538	147	48	fmyy)v1	fmyy)v1	INTJ
ejpam-3538	147	49	∆y2	∆y2	PROPN
ejpam-3538	147	50	24	24	NUM
ejpam-3538	147	51	+	+	CCONJ
ejpam-3538	147	52	(	(	PUNCT
ejpam-3538	147	53	fmtt)v1	fmtt)v1	PROPN
ejpam-3538	147	54	∆t2	∆t2	VERB
ejpam-3538	147	55	24	24	NUM
ejpam-3538	147	56	+	+	CCONJ
ejpam-3538	147	57	(	(	PUNCT
ejpam-3538	147	58	fmyt)v1	fmyt)v1	PROPN
ejpam-3538	147	59	∆y∆t	∆y∆t	NOUN
ejpam-3538	147	60	16	16	NUM
ejpam-3538	147	61	+	+	CCONJ
ejpam-3538	147	62	(	(	PUNCT
ejpam-3538	147	63	fmyyy)v1	fmyyy)v1	PROPN
ejpam-3538	147	64	∆y3	∆y3	PROPN
ejpam-3538	147	65	192	192	NUM
ejpam-3538	147	66	+	+	CCONJ
ejpam-3538	148	1	(	(	PUNCT
ejpam-3538	148	2	fmttt)v1	fmttt)v1	PROPN
ejpam-3538	148	3	∆t3	∆t3	NOUN
ejpam-3538	148	4	192	192	NUM
ejpam-3538	148	5	+	+	CCONJ
ejpam-3538	148	6	(	(	PUNCT
ejpam-3538	148	7	fmyt)v1	fmyt)v1	PROPN
ejpam-3538	148	8	∆y2∆t	∆y2∆t	VERB
ejpam-3538	148	9	96	96	NUM
ejpam-3538	148	10	+	+	CCONJ
ejpam-3538	148	11	(	(	PUNCT
ejpam-3538	148	12	fmytt)v1	fmytt)v1	NOUN
ejpam-3538	148	13	∆y∆t2	∆y∆t2	NOUN
ejpam-3538	148	14	96	96	NUM
ejpam-3538	148	15	}	}	PUNCT
ejpam-3538	148	16	,	,	PUNCT
ejpam-3538	148	17	(	(	PUNCT
ejpam-3538	148	18	12	12	NUM
ejpam-3538	148	19	)	)	PUNCT
ejpam-3538	148	20	and	and	CCONJ
ejpam-3538	148	21	on	on	ADP
ejpam-3538	148	22	the	the	DET
ejpam-3538	148	23	surface	surface	NOUN
ejpam-3538	148	24	a1a	a1a	PROPN
ejpam-3538	148	25	′	′	ADJ
ejpam-3538	148	26	1v4v	1v4v	NUM
ejpam-3538	148	27	′	′	NUM
ejpam-3538	148	28	4	4	NUM
ejpam-3538	148	29	,	,	PUNCT
ejpam-3538	148	30	gives∫	gives∫	NOUN
ejpam-3538	148	31	(	(	PUNCT
ejpam-3538	148	32	j+	j+	PROPN
ejpam-3538	148	33	1	1	NUM
ejpam-3538	148	34	2)∆y	2)∆y	NUM
ejpam-3538	148	35	j∆y	j∆y	PROPN
ejpam-3538	148	36	∫	∫	PROPN
ejpam-3538	148	37	k∆t	k∆t	NOUN
ejpam-3538	148	38	(	(	PUNCT
ejpam-3538	148	39	k−	k−	NOUN
ejpam-3538	148	40	1	1	NUM
ejpam-3538	148	41	2)∆t	2)∆t	NUM
ejpam-3538	148	42	{	{	PUNCT
ejpam-3538	148	43	(	(	PUNCT
ejpam-3538	148	44	fm)v4	fm)v4	NOUN
ejpam-3538	148	45	+	+	CCONJ
ejpam-3538	148	46	(	(	PUNCT
ejpam-3538	148	47	fmy)v4	fmy)v4	X
ejpam-3538	148	48	[	[	PUNCT
ejpam-3538	148	49	y	y	NOUN
ejpam-3538	148	50	−	−	PROPN
ejpam-3538	148	51	(	(	PUNCT
ejpam-3538	148	52	j	j	PROPN
ejpam-3538	148	53	+	+	CCONJ
ejpam-3538	148	54	1	1	NUM
ejpam-3538	148	55	2	2	NUM
ejpam-3538	148	56	)	)	PUNCT
ejpam-3538	148	57	∆y	∆y	NOUN
ejpam-3538	148	58	]	]	PUNCT
ejpam-3538	149	1	+	+	CCONJ
ejpam-3538	149	2	(	(	PUNCT
ejpam-3538	149	3	fmt)v4	fmt)v4	X
ejpam-3538	149	4	[	[	PUNCT
ejpam-3538	149	5	t−	t−	PROPN
ejpam-3538	149	6	(	(	PUNCT
ejpam-3538	149	7	k	k	NOUN
ejpam-3538	149	8	−	−	PROPN
ejpam-3538	149	9	1	1	NUM
ejpam-3538	149	10	2	2	NUM
ejpam-3538	149	11	)	)	PUNCT
ejpam-3538	149	12	∆t	∆t	PROPN
ejpam-3538	149	13	]	]	PUNCT
ejpam-3538	150	1	+	+	CCONJ
ejpam-3538	150	2	1	1	NUM
ejpam-3538	150	3	2	2	NUM
ejpam-3538	150	4	(	(	PUNCT
ejpam-3538	150	5	fmyy)v4	fmyy)v4	PROPN
ejpam-3538	150	6	[	[	PUNCT
ejpam-3538	150	7	y	y	PROPN
ejpam-3538	150	8	−	−	PROPN
ejpam-3538	150	9	(	(	PUNCT
ejpam-3538	150	10	j	j	PROPN
ejpam-3538	150	11	+	+	CCONJ
ejpam-3538	150	12	1	1	NUM
ejpam-3538	150	13	2	2	NUM
ejpam-3538	150	14	)	)	PUNCT
ejpam-3538	150	15	∆y	∆y	NOUN
ejpam-3538	150	16	]	]	X
ejpam-3538	150	17	2	2	NUM
ejpam-3538	150	18	+	+	CCONJ
ejpam-3538	150	19	1	1	NUM
ejpam-3538	150	20	2	2	NUM
ejpam-3538	150	21	(	(	PUNCT
ejpam-3538	150	22	fmtt)v4	fmtt)v4	PROPN
ejpam-3538	150	23	[	[	PUNCT
ejpam-3538	150	24	t−	t−	PROPN
ejpam-3538	150	25	(	(	PUNCT
ejpam-3538	150	26	k	k	NOUN
ejpam-3538	150	27	−	−	PROPN
ejpam-3538	150	28	1	1	NUM
ejpam-3538	150	29	2	2	NUM
ejpam-3538	150	30	)	)	PUNCT
ejpam-3538	150	31	∆t	∆t	PROPN
ejpam-3538	150	32	]	]	SYM
ejpam-3538	150	33	2	2	NUM
ejpam-3538	150	34	+	+	CCONJ
ejpam-3538	150	35	(	(	PUNCT
ejpam-3538	150	36	fmyt)v4	fmyt)v4	PROPN
ejpam-3538	150	37	[	[	PUNCT
ejpam-3538	150	38	y	y	PROPN
ejpam-3538	150	39	−	−	PROPN
ejpam-3538	150	40	(	(	PUNCT
ejpam-3538	150	41	j	j	PROPN
ejpam-3538	150	42	+	+	CCONJ
ejpam-3538	150	43	1	1	NUM
ejpam-3538	150	44	2	2	NUM
ejpam-3538	150	45	)	)	PUNCT
ejpam-3538	150	46	∆y	∆y	NOUN
ejpam-3538	150	47	]	]	PUNCT
ejpam-3538	150	48	[	[	PUNCT
ejpam-3538	150	49	t−	t−	PROPN
ejpam-3538	150	50	(	(	PUNCT
ejpam-3538	150	51	k	k	NOUN
ejpam-3538	150	52	−	−	PROPN
ejpam-3538	150	53	1	1	NUM
ejpam-3538	150	54	2	2	NUM
ejpam-3538	150	55	)	)	PUNCT
ejpam-3538	150	56	∆t	∆t	PROPN
ejpam-3538	150	57	]	]	PUNCT
ejpam-3538	150	58	(	(	PUNCT
ejpam-3538	150	59	13	13	NUM
ejpam-3538	150	60	)	)	PUNCT
ejpam-3538	150	61	+	+	CCONJ
ejpam-3538	150	62	1	1	NUM
ejpam-3538	150	63	6	6	NUM
ejpam-3538	150	64	(	(	PUNCT
ejpam-3538	150	65	fmyyy)v4	fmyyy)v4	PROPN
ejpam-3538	150	66	[	[	PUNCT
ejpam-3538	150	67	y	y	PROPN
ejpam-3538	150	68	−	−	PROPN
ejpam-3538	150	69	(	(	PUNCT
ejpam-3538	150	70	j	j	PROPN
ejpam-3538	150	71	+	+	CCONJ
ejpam-3538	150	72	1	1	NUM
ejpam-3538	150	73	2	2	NUM
ejpam-3538	150	74	)	)	PUNCT
ejpam-3538	150	75	∆y	∆y	NOUN
ejpam-3538	150	76	]	]	X
ejpam-3538	150	77	3	3	NUM
ejpam-3538	150	78	+	+	CCONJ
ejpam-3538	150	79	1	1	NUM
ejpam-3538	150	80	6	6	NUM
ejpam-3538	150	81	(	(	PUNCT
ejpam-3538	150	82	fmttt)v4	fmttt)v4	PROPN
ejpam-3538	150	83	[	[	PUNCT
ejpam-3538	150	84	t−	t−	PROPN
ejpam-3538	150	85	(	(	PUNCT
ejpam-3538	150	86	k	k	NOUN
ejpam-3538	150	87	−	−	PROPN
ejpam-3538	150	88	1	1	NUM
ejpam-3538	150	89	2	2	NUM
ejpam-3538	150	90	)	)	PUNCT
ejpam-3538	150	91	∆t	∆t	PROPN
ejpam-3538	150	92	]	]	SYM
ejpam-3538	150	93	3	3	NUM
ejpam-3538	150	94	+	+	CCONJ
ejpam-3538	150	95	1	1	NUM
ejpam-3538	150	96	2	2	NUM
ejpam-3538	150	97	(	(	PUNCT
ejpam-3538	150	98	fmyyt)v4	fmyyt)v4	PROPN
ejpam-3538	150	99	[	[	PUNCT
ejpam-3538	150	100	y	y	PROPN
ejpam-3538	150	101	−	−	PROPN
ejpam-3538	150	102	(	(	PUNCT
ejpam-3538	150	103	j	j	PROPN
ejpam-3538	150	104	+	+	CCONJ
ejpam-3538	150	105	1	1	NUM
ejpam-3538	150	106	2	2	NUM
ejpam-3538	150	107	)	)	PUNCT
ejpam-3538	150	108	∆y	∆y	NOUN
ejpam-3538	150	109	]	]	X
ejpam-3538	150	110	2	2	NUM
ejpam-3538	150	111	[	[	PUNCT
ejpam-3538	150	112	t−	t−	PROPN
ejpam-3538	150	113	(	(	PUNCT
ejpam-3538	150	114	k	k	NOUN
ejpam-3538	150	115	−	−	PROPN
ejpam-3538	150	116	1	1	NUM
ejpam-3538	150	117	2	2	NUM
ejpam-3538	150	118	)	)	PUNCT
ejpam-3538	150	119	∆t	∆t	PROPN
ejpam-3538	150	120	]	]	PUNCT
ejpam-3538	151	1	+	+	CCONJ
ejpam-3538	151	2	1	1	NUM
ejpam-3538	151	3	2	2	NUM
ejpam-3538	151	4	(	(	PUNCT
ejpam-3538	151	5	fmytt)v4	fmytt)v4	X
ejpam-3538	151	6	[	[	PUNCT
ejpam-3538	151	7	y	y	PROPN
ejpam-3538	151	8	−	−	PROPN
ejpam-3538	151	9	(	(	PUNCT
ejpam-3538	151	10	j	j	PROPN
ejpam-3538	151	11	+	+	CCONJ
ejpam-3538	151	12	1	1	NUM
ejpam-3538	151	13	2	2	NUM
ejpam-3538	151	14	)	)	PUNCT
ejpam-3538	151	15	∆y	∆y	NOUN
ejpam-3538	151	16	]	]	PUNCT
ejpam-3538	151	17	[	[	PUNCT
ejpam-3538	151	18	t−	t−	PROPN
ejpam-3538	151	19	(	(	PUNCT
ejpam-3538	151	20	k	k	NOUN
ejpam-3538	151	21	−	−	PROPN
ejpam-3538	151	22	1	1	NUM
ejpam-3538	151	23	2	2	NUM
ejpam-3538	151	24	)	)	PUNCT
ejpam-3538	151	25	∆t	∆t	PROPN
ejpam-3538	151	26	]	]	SYM
ejpam-3538	151	27	2	2	NUM
ejpam-3538	151	28	}	}	PUNCT
ejpam-3538	151	29	dydt	dydt	NOUN
ejpam-3538	151	30	=	=	PUNCT
ejpam-3538	151	31	∆y∆t	∆y∆t	NOUN
ejpam-3538	151	32	4	4	NUM
ejpam-3538	151	33	{	{	PUNCT
ejpam-3538	151	34	(	(	PUNCT
ejpam-3538	151	35	fm)v4	fm)v4	NOUN
ejpam-3538	151	36	∆y	∆y	PROPN
ejpam-3538	151	37	4	4	NUM
ejpam-3538	151	38	+	+	CCONJ
ejpam-3538	151	39	(	(	PUNCT
ejpam-3538	151	40	fmt)v4	fmt)v4	NUM
ejpam-3538	151	41	∆t	∆t	NOUN
ejpam-3538	151	42	4	4	NUM
ejpam-3538	151	43	+	+	CCONJ
ejpam-3538	151	44	(	(	PUNCT
ejpam-3538	151	45	fmyy)v4	fmyy)v4	PROPN
ejpam-3538	151	46	∆y2	∆y2	PROPN
ejpam-3538	151	47	24	24	NUM
ejpam-3538	151	48	+	+	CCONJ
ejpam-3538	151	49	(	(	PUNCT
ejpam-3538	151	50	fmtt)v4	fmtt)v4	NOUN
ejpam-3538	151	51	∆t2	∆t2	VERB
ejpam-3538	151	52	24	24	NUM
ejpam-3538	151	53	−	−	PROPN
ejpam-3538	152	1	(	(	PUNCT
ejpam-3538	152	2	fmyt)v4	fmyt)v4	PROPN
ejpam-3538	152	3	∆y∆t	∆y∆t	NOUN
ejpam-3538	152	4	16	16	NUM
ejpam-3538	152	5	−	−	PROPN
ejpam-3538	153	1	(	(	PUNCT
ejpam-3538	153	2	fmyyy)v4	fmyyy)v4	PROPN
ejpam-3538	153	3	∆y3	∆y3	PROPN
ejpam-3538	153	4	192	192	NUM
ejpam-3538	154	1	+	+	CCONJ
ejpam-3538	154	2	(	(	PUNCT
ejpam-3538	154	3	fmttt)v4	fmttt)v4	PROPN
ejpam-3538	154	4	∆t3	∆t3	NOUN
ejpam-3538	154	5	192	192	NUM
ejpam-3538	154	6	+	+	CCONJ
ejpam-3538	154	7	(	(	PUNCT
ejpam-3538	154	8	fmyyt)v4	fmyyt)v4	NOUN
ejpam-3538	154	9	∆y2∆t	∆y2∆t	NOUN
ejpam-3538	154	10	96	96	NUM
ejpam-3538	154	11	−	−	NOUN
ejpam-3538	154	12	(	(	PUNCT
ejpam-3538	154	13	fmytt)v4	fmytt)v4	NOUN
ejpam-3538	154	14	∆y∆t2	∆y∆t2	NOUN
ejpam-3538	154	15	96	96	NUM
ejpam-3538	154	16	}	}	PUNCT
ejpam-3538	154	17	.	.	PUNCT
ejpam-3538	155	1	(	(	PUNCT
ejpam-3538	155	2	14	14	NUM
ejpam-3538	155	3	)	)	PUNCT
ejpam-3538	155	4	the	the	DET
ejpam-3538	155	5	integration	integration	NOUN
ejpam-3538	155	6	on	on	ADP
ejpam-3538	155	7	the	the	DET
ejpam-3538	155	8	surface	surface	NOUN
ejpam-3538	155	9	v2v	v2v	NOUN
ejpam-3538	155	10	′	′	NUM
ejpam-3538	155	11	2a	2a	NUM
ejpam-3538	155	12	′	′	NUM
ejpam-3538	155	13	3a3	3a3	NUM
ejpam-3538	155	14	and	and	CCONJ
ejpam-3538	155	15	a3a	a3a	PROPN
ejpam-3538	155	16	′	′	NOUN
ejpam-3538	155	17	3v	3v	NUM
ejpam-3538	155	18	′	′	NUM
ejpam-3538	155	19	3v3	3v3	NUM
ejpam-3538	155	20	is	be	AUX
ejpam-3538	155	21	similar	similar	ADJ
ejpam-3538	155	22	to	to	ADP
ejpam-3538	155	23	that	that	PRON
ejpam-3538	155	24	on	on	ADP
ejpam-3538	155	25	v1v	v1v	ADP
ejpam-3538	155	26	′	′	NUM
ejpam-3538	155	27	1a	1a	NOUN
ejpam-3538	156	1	′	′	NUM
ejpam-3538	156	2	1a1	1a1	NUM
ejpam-3538	156	3	and	and	CCONJ
ejpam-3538	156	4	a1a	a1a	PROPN
ejpam-3538	156	5	′	′	ADJ
ejpam-3538	156	6	1v	1v	NUM
ejpam-3538	156	7	′	′	NUM
ejpam-3538	156	8	1v1	1v1	NUM
ejpam-3538	156	9	with	with	ADP
ejpam-3538	156	10	the	the	DET
ejpam-3538	156	11	only	only	ADJ
ejpam-3538	156	12	difference	difference	NOUN
ejpam-3538	156	13	that	that	PRON
ejpam-3538	156	14	the	the	DET
ejpam-3538	156	15	outward	outward	ADJ
ejpam-3538	156	16	normal	normal	ADJ
ejpam-3538	156	17	vector	vector	NOUN
ejpam-3538	156	18	is	be	AUX
ejpam-3538	156	19	on	on	ADP
ejpam-3538	156	20	opposite	opposite	ADJ
ejpam-3538	156	21	a.	a.	NOUN
ejpam-3538	156	22	sidrah	sidrah	PROPN
ejpam-3538	156	23	,	,	PUNCT
ejpam-3538	156	24	z.	z.	PROPN
ejpam-3538	156	25	saqib	saqib	PROPN
ejpam-3538	156	26	/	/	SYM
ejpam-3538	156	27	eur	eur	PROPN
ejpam-3538	156	28	.	.	PUNCT
ejpam-3538	157	1	j.	j.	PROPN
ejpam-3538	157	2	pure	pure	PROPN
ejpam-3538	157	3	appl	appl	PROPN
ejpam-3538	157	4	.	.	PROPN
ejpam-3538	157	5	math	math	PROPN
ejpam-3538	157	6	,	,	PUNCT
ejpam-3538	157	7	12	12	NUM
ejpam-3538	157	8	(	(	PUNCT
ejpam-3538	157	9	4	4	NUM
ejpam-3538	157	10	)	)	PUNCT
ejpam-3538	157	11	(	(	PUNCT
ejpam-3538	157	12	2019	2019	NUM
ejpam-3538	157	13	)	)	PUNCT
ejpam-3538	157	14	,	,	PUNCT
ejpam-3538	157	15	1464	1464	NUM
ejpam-3538	157	16	-	-	SYM
ejpam-3538	157	17	1482	1482	NUM
ejpam-3538	157	18	1472	1472	NUM
ejpam-3538	157	19	direction	direction	NOUN
ejpam-3538	157	20	and	and	CCONJ
ejpam-3538	157	21	fm	fm	PROPN
ejpam-3538	157	22	is	be	AUX
ejpam-3538	157	23	approximated	approximate	VERB
ejpam-3538	157	24	at	at	ADP
ejpam-3538	157	25	points	point	NOUN
ejpam-3538	157	26	v2	v2	PROPN
ejpam-3538	157	27	and	and	CCONJ
ejpam-3538	157	28	v4	v4	NOUN
ejpam-3538	157	29	respectively	respectively	ADV
ejpam-3538	157	30	.	.	PUNCT
ejpam-3538	158	1	the	the	DET
ejpam-3538	158	2	outward	outward	ADJ
ejpam-3538	158	3	unit	unit	NOUN
ejpam-3538	158	4	normal	normal	ADJ
ejpam-3538	158	5	to	to	AUX
ejpam-3538	158	6	surface	surface	VERB
ejpam-3538	158	7	v1v	v1v	PUNCT
ejpam-3538	158	8	′	′	NUM
ejpam-3538	158	9	1v	1v	NUM
ejpam-3538	158	10	′	′	NUM
ejpam-3538	158	11	2v2	2v2	NUM
ejpam-3538	158	12	and	and	CCONJ
ejpam-3538	158	13	v3v	v3v	NOUN
ejpam-3538	158	14	′	′	VERB
ejpam-3538	158	15	3v	3v	NUM
ejpam-3538	159	1	′	′	NUM
ejpam-3538	159	2	4v4	4v4	NUM
ejpam-3538	159	3	are	be	AUX
ejpam-3538	159	4	(	(	PUNCT
ejpam-3538	159	5	0	0	NUM
ejpam-3538	159	6	,	,	PUNCT
ejpam-3538	159	7	1	1	NUM
ejpam-3538	159	8	,	,	PUNCT
ejpam-3538	159	9	0	0	NUM
ejpam-3538	159	10	)	)	PUNCT
ejpam-3538	159	11	and	and	CCONJ
ejpam-3538	159	12	(	(	PUNCT
ejpam-3538	159	13	0,−1	0,−1	PROPN
ejpam-3538	159	14	,	,	PUNCT
ejpam-3538	159	15	0	0	NUM
ejpam-3538	159	16	)	)	PUNCT
ejpam-3538	159	17	respectively	respectively	ADV
ejpam-3538	159	18	.	.	PUNCT
ejpam-3538	160	1	hence	hence	ADV
ejpam-3538	160	2	only	only	ADV
ejpam-3538	160	3	space	space	NOUN
ejpam-3538	160	4	-	-	PUNCT
ejpam-3538	160	5	time	time	NOUN
ejpam-3538	160	6	flux	flux	NOUN
ejpam-3538	160	7	g	g	PROPN
ejpam-3538	160	8	passes	pass	VERB
ejpam-3538	160	9	through	through	ADP
ejpam-3538	160	10	these	these	DET
ejpam-3538	160	11	surfaces	surface	NOUN
ejpam-3538	160	12	.	.	PUNCT
ejpam-3538	161	1	therefore	therefore	ADV
ejpam-3538	161	2	the	the	DET
ejpam-3538	161	3	integration	integration	NOUN
ejpam-3538	161	4	over	over	ADP
ejpam-3538	161	5	these	these	DET
ejpam-3538	161	6	surfaces	surface	NOUN
ejpam-3538	161	7	is	be	AUX
ejpam-3538	161	8	similar	similar	ADJ
ejpam-3538	161	9	to	to	ADP
ejpam-3538	161	10	the	the	DET
ejpam-3538	161	11	surfaces	surface	NOUN
ejpam-3538	161	12	v2v	v2v	VERB
ejpam-3538	161	13	′	′	NUM
ejpam-3538	161	14	2a	2a	NUM
ejpam-3538	161	15	′	′	NUM
ejpam-3538	161	16	3a3	3a3	NUM
ejpam-3538	161	17	,	,	PUNCT
ejpam-3538	161	18	a3a	a3a	PROPN
ejpam-3538	161	19	′	′	NOUN
ejpam-3538	161	20	3v	3v	NUM
ejpam-3538	161	21	′	′	NUM
ejpam-3538	161	22	3v3	3v3	NUM
ejpam-3538	161	23	,	,	PUNCT
ejpam-3538	161	24	v1v	v1v	PUNCT
ejpam-3538	162	1	′	′	NUM
ejpam-3538	162	2	1a	1a	NOUN
ejpam-3538	162	3	′	′	NUM
ejpam-3538	162	4	1a1	1a1	NUM
ejpam-3538	162	5	and	and	CCONJ
ejpam-3538	162	6	a1a	a1a	PROPN
ejpam-3538	162	7	′	′	ADJ
ejpam-3538	162	8	1v	1v	NUM
ejpam-3538	162	9	′	′	NUM
ejpam-3538	162	10	1v1	1v1	NUM
ejpam-3538	162	11	with	with	ADP
ejpam-3538	162	12	fm	fm	PROPN
ejpam-3538	162	13	replaced	replace	VERB
ejpam-3538	162	14	by	by	ADP
ejpam-3538	162	15	gm	gm	PROPN
ejpam-3538	162	16	and	and	CCONJ
ejpam-3538	162	17	y	y	PROPN
ejpam-3538	162	18	replaced	replace	VERB
ejpam-3538	162	19	by	by	ADP
ejpam-3538	162	20	x.	x.	NOUN
ejpam-3538	162	21	the	the	DET
ejpam-3538	162	22	outward	outward	ADJ
ejpam-3538	162	23	unite	unite	VERB
ejpam-3538	162	24	vector	vector	NOUN
ejpam-3538	162	25	to	to	ADP
ejpam-3538	162	26	the	the	DET
ejpam-3538	162	27	top	top	ADJ
ejpam-3538	162	28	surface	surface	NOUN
ejpam-3538	162	29	is	be	AUX
ejpam-3538	162	30	(	(	PUNCT
ejpam-3538	162	31	0	0	NUM
ejpam-3538	162	32	,	,	PUNCT
ejpam-3538	162	33	0	0	NUM
ejpam-3538	162	34	,	,	PUNCT
ejpam-3538	162	35	1	1	NUM
ejpam-3538	162	36	)	)	PUNCT
ejpam-3538	162	37	but	but	CCONJ
ejpam-3538	162	38	the	the	DET
ejpam-3538	162	39	flux	flux	PROPN
ejpam-3538	162	40	qm	qm	PROPN
ejpam-3538	162	41	is	be	AUX
ejpam-3538	162	42	approximated	approximate	VERB
ejpam-3538	162	43	by	by	ADP
ejpam-3538	162	44	taylor	taylor	NOUN
ejpam-3538	162	45	expansion	expansion	NOUN
ejpam-3538	162	46	at	at	ADP
ejpam-3538	162	47	the	the	DET
ejpam-3538	162	48	solution	solution	NOUN
ejpam-3538	162	49	point	point	NOUN
ejpam-3538	162	50	c	c	NOUN
ejpam-3538	162	51	′1	′1	NOUN
ejpam-3538	162	52	.	.	PUNCT
ejpam-3538	163	1	hence	hence	ADV
ejpam-3538	163	2	the	the	DET
ejpam-3538	163	3	integration	integration	NOUN
ejpam-3538	163	4	over	over	ADP
ejpam-3538	163	5	the	the	DET
ejpam-3538	163	6	top	top	ADJ
ejpam-3538	163	7	surface	surface	NOUN
ejpam-3538	163	8	results	result	NOUN
ejpam-3538	163	9	as	as	ADP
ejpam-3538	163	10	follows:∫	follows:∫	X
ejpam-3538	163	11	(	(	PUNCT
ejpam-3538	163	12	i+	i+	NOUN
ejpam-3538	163	13	1	1	NUM
ejpam-3538	163	14	2)∆x(j+	2)∆x(j+	NUM
ejpam-3538	163	15	1	1	NUM
ejpam-3538	163	16	2)∆y	2)∆y	NUM
ejpam-3538	163	17	(	(	PUNCT
ejpam-3538	163	18	i−	i−	PROPN
ejpam-3538	163	19	1	1	NUM
ejpam-3538	163	20	2)∆x(j−	2)∆x(j−	NUM
ejpam-3538	163	21	1	1	NUM
ejpam-3538	163	22	2)∆y	2)∆y	NUM
ejpam-3538	163	23	{	{	PUNCT
ejpam-3538	163	24	(	(	PUNCT
ejpam-3538	163	25	qm)c′1	qm)c′1	VERB
ejpam-3538	163	26	+	+	CCONJ
ejpam-3538	163	27	(	(	PUNCT
ejpam-3538	163	28	qmx)c′1	qmx)c′1	PROPN
ejpam-3538	163	29	[	[	X
ejpam-3538	163	30	x−	x−	NOUN
ejpam-3538	163	31	i∆x	i∆x	X
ejpam-3538	163	32	]	]	X
ejpam-3538	164	1	+	+	CCONJ
ejpam-3538	164	2	(	(	PUNCT
ejpam-3538	164	3	qmy)c′1	qmy)c′1	NOUN
ejpam-3538	164	4	[	[	X
ejpam-3538	164	5	y	y	PROPN
ejpam-3538	164	6	−	−	PROPN
ejpam-3538	164	7	j∆y	j∆y	PROPN
ejpam-3538	164	8	]	]	X
ejpam-3538	165	1	+	+	CCONJ
ejpam-3538	165	2	1	1	NUM
ejpam-3538	165	3	2	2	NUM
ejpam-3538	165	4	(	(	PUNCT
ejpam-3538	165	5	qmxχ)c′1	qmxχ)c′1	NOUN
ejpam-3538	165	6	[	[	X
ejpam-3538	165	7	x−	x−	PROPN
ejpam-3538	165	8	i∆x]2	i∆x]2	PROPN
ejpam-3538	165	9	+	+	CCONJ
ejpam-3538	165	10	1	1	NUM
ejpam-3538	165	11	2	2	NUM
ejpam-3538	165	12	(	(	PUNCT
ejpam-3538	165	13	qmyy)c′1	qmyy)c′1	NOUN
ejpam-3538	165	14	[	[	X
ejpam-3538	165	15	y	y	X
ejpam-3538	165	16	−	−	PROPN
ejpam-3538	165	17	j∆y]2	j∆y]2	NOUN
ejpam-3538	165	18	+	+	CCONJ
ejpam-3538	165	19	1	1	NUM
ejpam-3538	165	20	6	6	NUM
ejpam-3538	165	21	(	(	PUNCT
ejpam-3538	165	22	qmxxx)c′1	qmxxx)c′1	NOUN
ejpam-3538	165	23	[	[	X
ejpam-3538	165	24	x−	x−	PROPN
ejpam-3538	165	25	i∆x]3	i∆x]3	PROPN
ejpam-3538	165	26	+	+	CCONJ
ejpam-3538	166	1	1	1	NUM
ejpam-3538	166	2	6	6	NUM
ejpam-3538	166	3	(	(	PUNCT
ejpam-3538	166	4	qmyyy)c′1	qmyyy)c′1	VERB
ejpam-3538	166	5	[	[	X
ejpam-3538	166	6	y	y	PROPN
ejpam-3538	166	7	−	−	PROPN
ejpam-3538	166	8	j∆y]3	j∆y]3	PROPN
ejpam-3538	167	1	+	+	CCONJ
ejpam-3538	167	2	1	1	NUM
ejpam-3538	167	3	6	6	NUM
ejpam-3538	167	4	(	(	PUNCT
ejpam-3538	167	5	qmxxx)c′1	qmxxx)c′1	NOUN
ejpam-3538	167	6	[	[	X
ejpam-3538	167	7	x−	x−	PROPN
ejpam-3538	167	8	i∆x]3	i∆x]3	PROPN
ejpam-3538	167	9	+	+	CCONJ
ejpam-3538	167	10	1	1	NUM
ejpam-3538	167	11	6	6	NUM
ejpam-3538	167	12	(	(	PUNCT
ejpam-3538	167	13	qmyyy)c′1	qmyyy)c′1	VERB
ejpam-3538	167	14	[	[	X
ejpam-3538	167	15	y	y	PROPN
ejpam-3538	167	16	−	−	PROPN
ejpam-3538	167	17	j∆y]3	j∆y]3	PROPN
ejpam-3538	167	18	+	+	CCONJ
ejpam-3538	167	19	1	1	NUM
ejpam-3538	167	20	6	6	NUM
ejpam-3538	167	21	[	[	PUNCT
ejpam-3538	167	22	(	(	PUNCT
ejpam-3538	167	23	qmyyx)c′1	qmyyx)c′1	NOUN
ejpam-3538	167	24	+	+	X
ejpam-3538	167	25	(	(	PUNCT
ejpam-3538	167	26	qmyxy)c′1	qmyxy)c′1	NOUN
ejpam-3538	167	27	+	+	CCONJ
ejpam-3538	167	28	(	(	PUNCT
ejpam-3538	167	29	qmxyy)c′1	qmxyy)c′1	VERB
ejpam-3538	167	30	]	]	PUNCT
ejpam-3538	168	1	[	[	X
ejpam-3538	168	2	x−	x−	PROPN
ejpam-3538	168	3	i∆x][y	i∆x][y	PROPN
ejpam-3538	168	4	−	−	PROPN
ejpam-3538	168	5	j∆y]2	j∆y]2	NOUN
ejpam-3538	168	6	+	+	CCONJ
ejpam-3538	168	7	1	1	NUM
ejpam-3538	168	8	6	6	NUM
ejpam-3538	168	9	[	[	PUNCT
ejpam-3538	168	10	(	(	PUNCT
ejpam-3538	168	11	qmyxχ)c′1	qmyxχ)c′1	NOUN
ejpam-3538	168	12	+	+	CCONJ
ejpam-3538	168	13	(	(	PUNCT
ejpam-3538	168	14	qmxyx)c′1	qmxyx)c′1	NOUN
ejpam-3538	168	15	+	+	CCONJ
ejpam-3538	168	16	(	(	PUNCT
ejpam-3538	168	17	qmxxy)c′1	qmxxy)c′1	VERB
ejpam-3538	168	18	]	]	PUNCT
ejpam-3538	169	1	[	[	X
ejpam-3538	169	2	x−	x−	NOUN
ejpam-3538	169	3	i∆x]2[y	i∆x]2[y	NUM
ejpam-3538	169	4	−	−	PROPN
ejpam-3538	169	5	j∆y]}dxdy	j∆y]}dxdy	NOUN
ejpam-3538	169	6	=	=	SYM
ejpam-3538	169	7	∆x∆y	∆x∆y	NOUN
ejpam-3538	169	8	{	{	PUNCT
ejpam-3538	169	9	(	(	PUNCT
ejpam-3538	169	10	qm)c′1	qm)c′1	VERB
ejpam-3538	169	11	+	+	CCONJ
ejpam-3538	169	12	(	(	PUNCT
ejpam-3538	169	13	qmxx)c′1	qmxx)c′1	VERB
ejpam-3538	169	14	∆x2	∆x2	PRON
ejpam-3538	169	15	24	24	NUM
ejpam-3538	169	16	+	+	CCONJ
ejpam-3538	169	17	(	(	PUNCT
ejpam-3538	169	18	qmyy)c′1	qmyy)c′1	NOUN
ejpam-3538	169	19	∆y2	∆y2	PROPN
ejpam-3538	169	20	24	24	NUM
ejpam-3538	169	21	}	}	PUNCT
ejpam-3538	169	22	.	.	PUNCT
ejpam-3538	170	1	(	(	PUNCT
ejpam-3538	170	2	15	15	X
ejpam-3538	170	3	)	)	PUNCT
ejpam-3538	170	4	combining	combine	VERB
ejpam-3538	170	5	all	all	PRON
ejpam-3538	170	6	of	of	ADP
ejpam-3538	170	7	above	above	ADJ
ejpam-3538	170	8	integration	integration	NOUN
ejpam-3538	170	9	gives	give	VERB
ejpam-3538	170	10	the	the	DET
ejpam-3538	170	11	following	following	ADJ
ejpam-3538	170	12	time	time	NOUN
ejpam-3538	170	13	marching	marching	NOUN
ejpam-3538	170	14	scheme	scheme	NOUN
ejpam-3538	170	15	:	:	PUNCT
ejpam-3538	170	16	(	(	PUNCT
ejpam-3538	170	17	qm)ni	qm)ni	PROPN
ejpam-3538	170	18	,	,	PUNCT
ejpam-3538	170	19	j	j	PROPN
ejpam-3538	170	20	=	=	SYM
ejpam-3538	170	21	1	1	NUM
ejpam-3538	170	22	∆x∆y	∆x∆y	ADJ
ejpam-3538	170	23	4∑	4∑	NUM
ejpam-3538	170	24	l=1	l=1	NOUN
ejpam-3538	170	25	〈	〈	NOUN
ejpam-3538	170	26	∆x∆y	∆x∆y	NOUN
ejpam-3538	170	27	4	4	NUM
ejpam-3538	170	28	{	{	PUNCT
ejpam-3538	170	29	(	(	PUNCT
ejpam-3538	170	30	qm	qm	PROPN
ejpam-3538	170	31	)	)	PUNCT
ejpam-3538	170	32	n−1/2	n−1/2	PROPN
ejpam-3538	170	33	l	l	NOUN
ejpam-3538	171	1	+	+	CCONJ
ejpam-3538	171	2	(	(	PUNCT
ejpam-3538	171	3	qmx	qmx	NOUN
ejpam-3538	171	4	)	)	PUNCT
ejpam-3538	171	5	n−1/2	n−1/2	NOUN
ejpam-3538	171	6	l	l	NOUN
ejpam-3538	172	1	(	(	PUNCT
ejpam-3538	172	2	kx	kx	PROPN
ejpam-3538	172	3	∆x	∆x	PROPN
ejpam-3538	172	4	4	4	NUM
ejpam-3538	172	5	)	)	PUNCT
ejpam-3538	173	1	+	+	CCONJ
ejpam-3538	173	2	(	(	PUNCT
ejpam-3538	173	3	qmy	qmy	ADJ
ejpam-3538	173	4	)	)	PUNCT
ejpam-3538	173	5	n−1/2	n−1/2	PROPN
ejpam-3538	173	6	l	l	NOUN
ejpam-3538	173	7	(	(	PUNCT
ejpam-3538	173	8	ky	ky	NOUN
ejpam-3538	173	9	∆y	∆y	PROPN
ejpam-3538	173	10	4	4	NUM
ejpam-3538	173	11	)	)	PUNCT
ejpam-3538	174	1	+	+	CCONJ
ejpam-3538	174	2	1	1	NUM
ejpam-3538	174	3	24	24	NUM
ejpam-3538	174	4	[	[	PUNCT
ejpam-3538	174	5	(	(	PUNCT
ejpam-3538	174	6	qmxx	qmxx	ADJ
ejpam-3538	174	7	)	)	PUNCT
ejpam-3538	174	8	n−1/2	n−1/2	NOUN
ejpam-3538	174	9	l	l	NOUN
ejpam-3538	174	10	(	(	PUNCT
ejpam-3538	174	11	kx∆x)2	kx∆x)2	NOUN
ejpam-3538	174	12	+	+	CCONJ
ejpam-3538	174	13	(	(	PUNCT
ejpam-3538	174	14	qmyy	qmyy	NOUN
ejpam-3538	174	15	)	)	PUNCT
ejpam-3538	174	16	n−1/2	n−1/2	PROPN
ejpam-3538	174	17	l	l	NOUN
ejpam-3538	174	18	(	(	PUNCT
ejpam-3538	174	19	ky∆y)2	ky∆y)2	PROPN
ejpam-3538	174	20	]	]	PUNCT
ejpam-3538	175	1	+	+	CCONJ
ejpam-3538	175	2	1	1	NUM
ejpam-3538	175	3	32	32	NUM
ejpam-3538	175	4	[	[	PUNCT
ejpam-3538	175	5	(	(	PUNCT
ejpam-3538	175	6	qmxy	qmxy	NOUN
ejpam-3538	175	7	)	)	PUNCT
ejpam-3538	176	1	n−1/2	n−1/2	NOUN
ejpam-3538	176	2	l	l	NOUN
ejpam-3538	177	1	+	+	CCONJ
ejpam-3538	178	1	(	(	PUNCT
ejpam-3538	178	2	qmyx	qmyx	PROPN
ejpam-3538	178	3	)	)	PUNCT
ejpam-3538	178	4	n−1/2	n−1/2	PROPN
ejpam-3538	178	5	l	l	NOUN
ejpam-3538	178	6	]	]	PUNCT
ejpam-3538	178	7	(	(	PUNCT
ejpam-3538	178	8	kx∆x	kx∆x	PROPN
ejpam-3538	178	9	)	)	PUNCT
ejpam-3538	178	10	(	(	PUNCT
ejpam-3538	178	11	ky∆y	ky∆y	PROPN
ejpam-3538	178	12	)	)	PUNCT
ejpam-3538	179	1	+	+	CCONJ
ejpam-3538	179	2	1	1	NUM
ejpam-3538	179	3	192	192	NUM
ejpam-3538	179	4	[	[	PUNCT
ejpam-3538	179	5	(	(	PUNCT
ejpam-3538	179	6	qmxxx	qmxxx	ADJ
ejpam-3538	179	7	)	)	PUNCT
ejpam-3538	179	8	n−1/2	n−1/2	PROPN
ejpam-3538	179	9	l	l	NOUN
ejpam-3538	179	10	(	(	PUNCT
ejpam-3538	179	11	kx∆x)3	kx∆x)3	PROPN
ejpam-3538	179	12	+	+	CCONJ
ejpam-3538	179	13	(	(	PUNCT
ejpam-3538	179	14	qmyyy	qmyyy	NOUN
ejpam-3538	179	15	)	)	PUNCT
ejpam-3538	179	16	n−1/2	n−1/2	PROPN
ejpam-3538	179	17	l	l	NOUN
ejpam-3538	179	18	(	(	PUNCT
ejpam-3538	179	19	ky∆y)3	ky∆y)3	PROPN
ejpam-3538	179	20	]	]	PUNCT
ejpam-3538	180	1	+	+	CCONJ
ejpam-3538	180	2	(	(	PUNCT
ejpam-3538	180	3	kx∆x)2	kx∆x)2	PROPN
ejpam-3538	180	4	(	(	PUNCT
ejpam-3538	180	5	ky∆y	ky∆y	PROPN
ejpam-3538	180	6	)	)	PUNCT
ejpam-3538	180	7	288	288	NUM
ejpam-3538	180	8	[	[	PUNCT
ejpam-3538	180	9	(	(	PUNCT
ejpam-3538	180	10	qmxxy	qmxxy	NOUN
ejpam-3538	180	11	)	)	PUNCT
ejpam-3538	180	12	n−1/2	n−1/2	NOUN
ejpam-3538	180	13	l	l	NOUN
ejpam-3538	180	14	+	+	CCONJ
ejpam-3538	180	15	(	(	PUNCT
ejpam-3538	180	16	qmxyx	qmxyx	ADJ
ejpam-3538	180	17	)	)	PUNCT
ejpam-3538	180	18	n−1/2	n−1/2	NOUN
ejpam-3538	180	19	l	l	NOUN
ejpam-3538	180	20	+	+	CCONJ
ejpam-3538	180	21	(	(	PUNCT
ejpam-3538	180	22	qmyxx	qmyxx	NOUN
ejpam-3538	180	23	)	)	PUNCT
ejpam-3538	180	24	n−1/2	n−1/2	PROPN
ejpam-3538	180	25	l	l	NOUN
ejpam-3538	180	26	]	]	PUNCT
ejpam-3538	181	1	+	+	CCONJ
ejpam-3538	181	2	(	(	PUNCT
ejpam-3538	181	3	ky∆y)2	ky∆y)2	PROPN
ejpam-3538	181	4	(	(	PUNCT
ejpam-3538	181	5	kx∆x	kx∆x	PROPN
ejpam-3538	181	6	)	)	PUNCT
ejpam-3538	181	7	288	288	NUM
ejpam-3538	181	8	[	[	PUNCT
ejpam-3538	181	9	(	(	PUNCT
ejpam-3538	181	10	qmyyx	qmyyx	NOUN
ejpam-3538	181	11	)	)	PUNCT
ejpam-3538	181	12	n−1/2	n−1/2	NOUN
ejpam-3538	181	13	l	l	NOUN
ejpam-3538	181	14	+	+	CCONJ
ejpam-3538	181	15	(	(	PUNCT
ejpam-3538	181	16	qmyxy	qmyxy	ADJ
ejpam-3538	181	17	)	)	PUNCT
ejpam-3538	181	18	n−1/2	n−1/2	PROPN
ejpam-3538	181	19	l	l	NOUN
ejpam-3538	181	20	+	+	CCONJ
ejpam-3538	181	21	(	(	PUNCT
ejpam-3538	181	22	qmxyy	qmxyy	ADJ
ejpam-3538	181	23	)	)	PUNCT
ejpam-3538	181	24	n−1/2	n−1/2	PROPN
ejpam-3538	181	25	l	l	NOUN
ejpam-3538	181	26	]	]	PUNCT
ejpam-3538	181	27	}	}	PUNCT
ejpam-3538	181	28	+	+	CCONJ
ejpam-3538	181	29	kx	kx	PROPN
ejpam-3538	181	30	∆y∆t	∆y∆t	PROPN
ejpam-3538	181	31	4	4	NUM
ejpam-3538	181	32	{	{	PUNCT
ejpam-3538	181	33	(	(	PUNCT
ejpam-3538	181	34	fm	fm	NOUN
ejpam-3538	181	35	)	)	PUNCT
ejpam-3538	181	36	n−1/2	n−1/2	NOUN
ejpam-3538	181	37	l	l	NOUN
ejpam-3538	182	1	+	+	CCONJ
ejpam-3538	182	2	(	(	PUNCT
ejpam-3538	182	3	fmy	fmy	NOUN
ejpam-3538	182	4	)	)	PUNCT
ejpam-3538	182	5	n−1/2	n−1/2	PROPN
ejpam-3538	182	6	l	l	NOUN
ejpam-3538	182	7	(	(	PUNCT
ejpam-3538	182	8	ky	ky	NOUN
ejpam-3538	182	9	∆y	∆y	PROPN
ejpam-3538	182	10	4	4	NUM
ejpam-3538	182	11	)	)	PUNCT
ejpam-3538	182	12	+	+	CCONJ
ejpam-3538	182	13	(	(	PUNCT
ejpam-3538	182	14	fmt	fmt	ADJ
ejpam-3538	182	15	)	)	PUNCT
ejpam-3538	182	16	n−1/2	n−1/2	NOUN
ejpam-3538	182	17	l	l	NOUN
ejpam-3538	182	18	(	(	PUNCT
ejpam-3538	182	19	∆t	∆t	PROPN
ejpam-3538	182	20	4	4	NUM
ejpam-3538	182	21	)	)	PUNCT
ejpam-3538	182	22	+	+	CCONJ
ejpam-3538	182	23	1	1	NUM
ejpam-3538	182	24	24	24	NUM
ejpam-3538	182	25	[	[	PUNCT
ejpam-3538	182	26	(	(	PUNCT
ejpam-3538	182	27	fmtt	fmtt	NOUN
ejpam-3538	182	28	)	)	PUNCT
ejpam-3538	182	29	n−1/2	n−1/2	PROPN
ejpam-3538	182	30	l	l	NOUN
ejpam-3538	182	31	(	(	PUNCT
ejpam-3538	182	32	∆t)2	∆t)2	X
ejpam-3538	182	33	+	+	CCONJ
ejpam-3538	182	34	(	(	PUNCT
ejpam-3538	182	35	fmyy	fmyy	NOUN
ejpam-3538	182	36	)	)	PUNCT
ejpam-3538	182	37	n−1/2	n−1/2	NOUN
ejpam-3538	182	38	l	l	NOUN
ejpam-3538	182	39	(	(	PUNCT
ejpam-3538	182	40	ky∆y)2	ky∆y)2	PROPN
ejpam-3538	182	41	]	]	PUNCT
ejpam-3538	183	1	+	+	CCONJ
ejpam-3538	183	2	1	1	NUM
ejpam-3538	183	3	16	16	NUM
ejpam-3538	183	4	(	(	PUNCT
ejpam-3538	183	5	fmyt	fmyt	NOUN
ejpam-3538	183	6	)	)	PUNCT
ejpam-3538	183	7	n−1/2	n−1/2	PROPN
ejpam-3538	183	8	l	l	NOUN
ejpam-3538	183	9	(	(	PUNCT
ejpam-3538	183	10	ky∆y	ky∆y	PROPN
ejpam-3538	183	11	)	)	PUNCT
ejpam-3538	183	12	∆t	∆t	PROPN
ejpam-3538	183	13	a.	a.	NOUN
ejpam-3538	183	14	sidrah	sidrah	PROPN
ejpam-3538	183	15	,	,	PUNCT
ejpam-3538	183	16	z.	z.	PROPN
ejpam-3538	183	17	saqib	saqib	PROPN
ejpam-3538	183	18	/	/	SYM
ejpam-3538	183	19	eur	eur	PROPN
ejpam-3538	183	20	.	.	PUNCT
ejpam-3538	184	1	j.	j.	PROPN
ejpam-3538	184	2	pure	pure	PROPN
ejpam-3538	184	3	appl	appl	PROPN
ejpam-3538	184	4	.	.	PROPN
ejpam-3538	184	5	math	math	PROPN
ejpam-3538	184	6	,	,	PUNCT
ejpam-3538	184	7	12	12	NUM
ejpam-3538	184	8	(	(	PUNCT
ejpam-3538	184	9	4	4	NUM
ejpam-3538	184	10	)	)	PUNCT
ejpam-3538	184	11	(	(	PUNCT
ejpam-3538	184	12	2019	2019	NUM
ejpam-3538	184	13	)	)	PUNCT
ejpam-3538	184	14	,	,	PUNCT
ejpam-3538	184	15	1464	1464	NUM
ejpam-3538	184	16	-	-	SYM
ejpam-3538	184	17	1482	1482	NUM
ejpam-3538	184	18	1473	1473	NUM
ejpam-3538	184	19	+	+	CCONJ
ejpam-3538	184	20	1	1	NUM
ejpam-3538	184	21	192	192	NUM
ejpam-3538	184	22	[	[	PUNCT
ejpam-3538	184	23	(	(	PUNCT
ejpam-3538	184	24	fmyyy	fmyyy	ADJ
ejpam-3538	184	25	)	)	PUNCT
ejpam-3538	184	26	n−1/2	n−1/2	NOUN
ejpam-3538	184	27	l	l	NOUN
ejpam-3538	184	28	(	(	PUNCT
ejpam-3538	184	29	ky∆y)3	ky∆y)3	PROPN
ejpam-3538	184	30	+	+	CCONJ
ejpam-3538	184	31	(	(	PUNCT
ejpam-3538	184	32	fmttt	fmttt	NOUN
ejpam-3538	184	33	)	)	PUNCT
ejpam-3538	184	34	n−1/2	n−1/2	PROPN
ejpam-3538	184	35	l	l	NOUN
ejpam-3538	184	36	(	(	PUNCT
ejpam-3538	184	37	∆t)3	∆t)3	X
ejpam-3538	184	38	]	]	PUNCT
ejpam-3538	185	1	+	+	CCONJ
ejpam-3538	185	2	1	1	NUM
ejpam-3538	185	3	96	96	NUM
ejpam-3538	185	4	[	[	PUNCT
ejpam-3538	185	5	(	(	PUNCT
ejpam-3538	185	6	fmyyt	fmyyt	NOUN
ejpam-3538	185	7	)	)	PUNCT
ejpam-3538	185	8	n−1/2	n−1/2	PROPN
ejpam-3538	185	9	l	l	NOUN
ejpam-3538	185	10	(	(	PUNCT
ejpam-3538	185	11	ky∆y)2	ky∆y)2	PROPN
ejpam-3538	185	12	∆t+	∆t+	PROPN
ejpam-3538	185	13	(	(	PUNCT
ejpam-3538	185	14	fmytt	fmytt	ADJ
ejpam-3538	185	15	)	)	PUNCT
ejpam-3538	185	16	n−1/2	n−1/2	PROPN
ejpam-3538	185	17	l	l	NOUN
ejpam-3538	185	18	(	(	PUNCT
ejpam-3538	185	19	ky∆y	ky∆y	PROPN
ejpam-3538	185	20	)	)	PUNCT
ejpam-3538	185	21	(	(	PUNCT
ejpam-3538	185	22	∆t)2	∆t)2	X
ejpam-3538	185	23	]	]	PUNCT
ejpam-3538	185	24	}	}	PUNCT
ejpam-3538	185	25	+	+	CCONJ
ejpam-3538	185	26	ky	ky	PROPN
ejpam-3538	185	27	∆x∆t	∆x∆t	PROPN
ejpam-3538	185	28	4	4	NUM
ejpam-3538	185	29	{	{	PUNCT
ejpam-3538	185	30	(	(	PUNCT
ejpam-3538	185	31	gm	gm	NOUN
ejpam-3538	185	32	)	)	PUNCT
ejpam-3538	185	33	n−1/2	n−1/2	PROPN
ejpam-3538	185	34	l	l	NOUN
ejpam-3538	185	35	+	+	CCONJ
ejpam-3538	185	36	(	(	PUNCT
ejpam-3538	185	37	gmx	gmx	NOUN
ejpam-3538	185	38	)	)	PUNCT
ejpam-3538	185	39	n−1/2	n−1/2	PROPN
ejpam-3538	185	40	l	l	NOUN
ejpam-3538	186	1	(	(	PUNCT
ejpam-3538	186	2	kx	kx	PROPN
ejpam-3538	186	3	∆x	∆x	PROPN
ejpam-3538	186	4	4	4	NUM
ejpam-3538	186	5	)	)	PUNCT
ejpam-3538	186	6	+	+	CCONJ
ejpam-3538	186	7	(	(	PUNCT
ejpam-3538	186	8	gmt	gmt	X
ejpam-3538	186	9	)	)	PUNCT
ejpam-3538	186	10	n−1/2	n−1/2	NOUN
ejpam-3538	186	11	l	l	NOUN
ejpam-3538	186	12	(	(	PUNCT
ejpam-3538	186	13	∆t	∆t	PROPN
ejpam-3538	186	14	4	4	NUM
ejpam-3538	186	15	)	)	PUNCT
ejpam-3538	186	16	+	+	CCONJ
ejpam-3538	186	17	1	1	NUM
ejpam-3538	186	18	24	24	NUM
ejpam-3538	186	19	[	[	PUNCT
ejpam-3538	186	20	(	(	PUNCT
ejpam-3538	186	21	gmtt	gmtt	NOUN
ejpam-3538	186	22	)	)	PUNCT
ejpam-3538	186	23	n−1/2	n−1/2	NOUN
ejpam-3538	186	24	l	l	NOUN
ejpam-3538	186	25	(	(	PUNCT
ejpam-3538	186	26	∆t)2	∆t)2	X
ejpam-3538	186	27	+	+	CCONJ
ejpam-3538	186	28	(	(	PUNCT
ejpam-3538	186	29	gmxχ	gmxχ	NOUN
ejpam-3538	186	30	)	)	PUNCT
ejpam-3538	186	31	n−1/2	n−1/2	PROPN
ejpam-3538	186	32	l	l	NOUN
ejpam-3538	186	33	(	(	PUNCT
ejpam-3538	186	34	kx∆x)2	kx∆x)2	NOUN
ejpam-3538	186	35	]	]	PUNCT
ejpam-3538	187	1	+	+	CCONJ
ejpam-3538	187	2	1	1	NUM
ejpam-3538	187	3	16	16	NUM
ejpam-3538	187	4	(	(	PUNCT
ejpam-3538	187	5	gmxt	gmxt	NOUN
ejpam-3538	187	6	)	)	PUNCT
ejpam-3538	187	7	n−1/2	n−1/2	NOUN
ejpam-3538	187	8	l	l	NOUN
ejpam-3538	187	9	(	(	PUNCT
ejpam-3538	187	10	kx∆x	kx∆x	NOUN
ejpam-3538	187	11	)	)	PUNCT
ejpam-3538	187	12	∆t	∆t	PROPN
ejpam-3538	188	1	+	+	CCONJ
ejpam-3538	188	2	1	1	NUM
ejpam-3538	188	3	192	192	NUM
ejpam-3538	188	4	[	[	PUNCT
ejpam-3538	188	5	(	(	PUNCT
ejpam-3538	188	6	gmxxx	gmxxx	NOUN
ejpam-3538	188	7	)	)	PUNCT
ejpam-3538	188	8	n−1/2	n−1/2	PROPN
ejpam-3538	188	9	l	l	NOUN
ejpam-3538	188	10	(	(	PUNCT
ejpam-3538	188	11	kx∆x)3	kx∆x)3	PROPN
ejpam-3538	188	12	+	+	CCONJ
ejpam-3538	188	13	(	(	PUNCT
ejpam-3538	188	14	gmttt	gmttt	NOUN
ejpam-3538	188	15	)	)	PUNCT
ejpam-3538	188	16	n−1/2	n−1/2	NOUN
ejpam-3538	188	17	l	l	NOUN
ejpam-3538	188	18	(	(	PUNCT
ejpam-3538	188	19	∆t)3	∆t)3	X
ejpam-3538	188	20	]	]	PUNCT
ejpam-3538	189	1	+	+	CCONJ
ejpam-3538	189	2	1	1	NUM
ejpam-3538	189	3	96	96	NUM
ejpam-3538	189	4	[	[	PUNCT
ejpam-3538	189	5	(	(	PUNCT
ejpam-3538	189	6	gmxxt	gmxxt	NOUN
ejpam-3538	189	7	)	)	PUNCT
ejpam-3538	189	8	n−1/2	n−1/2	NOUN
ejpam-3538	189	9	l	l	NOUN
ejpam-3538	189	10	(	(	PUNCT
ejpam-3538	189	11	kx∆x)2	kx∆x)2	NOUN
ejpam-3538	189	12	∆t+	∆t+	NOUN
ejpam-3538	189	13	(	(	PUNCT
ejpam-3538	189	14	gmxtt	gmxtt	NOUN
ejpam-3538	189	15	)	)	PUNCT
ejpam-3538	189	16	n−1/2	n−1/2	PROPN
ejpam-3538	189	17	l	l	NOUN
ejpam-3538	189	18	(	(	PUNCT
ejpam-3538	189	19	kx∆x	kx∆x	PROPN
ejpam-3538	189	20	)	)	PUNCT
ejpam-3538	189	21	(	(	PUNCT
ejpam-3538	189	22	∆t)2	∆t)2	PROPN
ejpam-3538	189	23	]	]	PUNCT
ejpam-3538	189	24	}	}	PUNCT
ejpam-3538	189	25	)	)	PUNCT
ejpam-3538	189	26	−	−	PROPN
ejpam-3538	190	1	1	1	NUM
ejpam-3538	190	2	24	24	NUM
ejpam-3538	190	3	[	[	PUNCT
ejpam-3538	190	4	(	(	PUNCT
ejpam-3538	190	5	qmxx)nc1	qmxx)nc1	PROPN
ejpam-3538	190	6	(	(	PUNCT
ejpam-3538	190	7	∆x)2	∆x)2	PROPN
ejpam-3538	190	8	+	+	CCONJ
ejpam-3538	190	9	(	(	PUNCT
ejpam-3538	190	10	qmyy	qmyy	PROPN
ejpam-3538	190	11	)	)	PUNCT
ejpam-3538	190	12	n	n	PRON
ejpam-3538	190	13	c1	c1	NOUN
ejpam-3538	190	14	(	(	PUNCT
ejpam-3538	190	15	∆y)2	∆y)2	PROPN
ejpam-3538	190	16	]	]	PUNCT
ejpam-3538	190	17	.	.	PUNCT
ejpam-3538	191	1	(	(	PUNCT
ejpam-3538	191	2	16	16	NUM
ejpam-3538	191	3	)	)	PUNCT
ejpam-3538	191	4	where	where	SCONJ
ejpam-3538	191	5	m	m	VERB
ejpam-3538	191	6	=	=	SYM
ejpam-3538	191	7	1	1	NUM
ejpam-3538	191	8	,	,	PUNCT
ejpam-3538	191	9	2	2	NUM
ejpam-3538	191	10	,	,	PUNCT
ejpam-3538	191	11	·	·	PUNCT
ejpam-3538	191	12	·	·	PUNCT
ejpam-3538	191	13	·	·	PUNCT
ejpam-3538	191	14	,	,	PUNCT
ejpam-3538	191	15	5	5	NUM
ejpam-3538	191	16	is	be	AUX
ejpam-3538	191	17	the	the	DET
ejpam-3538	191	18	number	number	NOUN
ejpam-3538	191	19	of	of	ADP
ejpam-3538	191	20	equations	equation	NOUN
ejpam-3538	191	21	,	,	PUNCT
ejpam-3538	191	22	l	l	NOUN
ejpam-3538	191	23	=	=	SYM
ejpam-3538	191	24	1	1	NUM
ejpam-3538	191	25	,	,	PUNCT
ejpam-3538	191	26	2	2	NUM
ejpam-3538	191	27	,	,	PUNCT
ejpam-3538	191	28	3	3	NUM
ejpam-3538	191	29	,	,	PUNCT
ejpam-3538	191	30	4	4	NUM
ejpam-3538	191	31	represents	represent	VERB
ejpam-3538	191	32	the	the	DET
ejpam-3538	191	33	four	four	NUM
ejpam-3538	191	34	nodes	node	NOUN
ejpam-3538	191	35	v1	v1	NOUN
ejpam-3538	191	36	,	,	PUNCT
ejpam-3538	191	37	v2	v2	PROPN
ejpam-3538	191	38	,	,	PUNCT
ejpam-3538	191	39	v3	v3	PROPN
ejpam-3538	191	40	,	,	PUNCT
ejpam-3538	191	41	v4	v4	PROPN
ejpam-3538	191	42	and	and	CCONJ
ejpam-3538	191	43	kx	kx	PROPN
ejpam-3538	191	44	,	,	PUNCT
ejpam-3538	191	45	ky	ky	PROPN
ejpam-3538	191	46	are	be	AUX
ejpam-3538	191	47	1	1	NUM
ejpam-3538	191	48	or	or	CCONJ
ejpam-3538	191	49	-1	-1	ADP
ejpam-3538	191	50	depending	depend	VERB
ejpam-3538	191	51	upon	upon	SCONJ
ejpam-3538	191	52	the	the	DET
ejpam-3538	191	53	position	position	NOUN
ejpam-3538	191	54	of	of	ADP
ejpam-3538	191	55	solution	solution	NOUN
ejpam-3538	191	56	point	point	NOUN
ejpam-3538	191	57	c1	c1	PROPN
ejpam-3538	191	58	relatives	relative	VERB
ejpam-3538	191	59	four	four	NUM
ejpam-3538	191	60	nodes	node	NOUN
ejpam-3538	191	61	v1	v1	NOUN
ejpam-3538	191	62	,	,	PUNCT
ejpam-3538	191	63	v2	v2	PROPN
ejpam-3538	191	64	,	,	PUNCT
ejpam-3538	191	65	v3	v3	PROPN
ejpam-3538	191	66	,	,	PUNCT
ejpam-3538	191	67	v4	v4	NOUN
ejpam-3538	191	68	.	.	PUNCT
ejpam-3538	192	1	2.1	2.1	NUM
ejpam-3538	192	2	.	.	PUNCT
ejpam-3538	193	1	higher	high	ADJ
ejpam-3538	193	2	order	order	NOUN
ejpam-3538	193	3	derivatives	derivative	NOUN
ejpam-3538	193	4	of	of	ADP
ejpam-3538	193	5	flux	flux	NOUN
ejpam-3538	193	6	function	function	NOUN
ejpam-3538	193	7	fm	fm	PROPN
ejpam-3538	193	8	and	and	CCONJ
ejpam-3538	193	9	gm	gm	X
ejpam-3538	193	10	the	the	DET
ejpam-3538	193	11	space	space	NOUN
ejpam-3538	193	12	and	and	CCONJ
ejpam-3538	193	13	time	time	NOUN
ejpam-3538	193	14	derivatives	derivative	NOUN
ejpam-3538	193	15	(	(	PUNCT
ejpam-3538	193	16	fmξ	fmξ	PROPN
ejpam-3538	193	17	,	,	PUNCT
ejpam-3538	193	18	fmξξ	fmξξ	ADV
ejpam-3538	193	19	,	,	PUNCT
ejpam-3538	193	20	fmξξξ	fmξξξ	PROPN
ejpam-3538	193	21	,	,	PUNCT
ejpam-3538	193	22	gmξ	gmξ	NOUN
ejpam-3538	193	23	,	,	PUNCT
ejpam-3538	193	24	gmξξ	gmξξ	NOUN
ejpam-3538	193	25	,	,	PUNCT
ejpam-3538	193	26	gmξξξ	gmξξξ	NOUN
ejpam-3538	193	27	,	,	PUNCT
ejpam-3538	193	28	ξ	ξ	X
ejpam-3538	193	29	=	=	SYM
ejpam-3538	193	30	x	x	PROPN
ejpam-3538	193	31	,	,	PUNCT
ejpam-3538	193	32	y	y	PROPN
ejpam-3538	193	33	,	,	PUNCT
ejpam-3538	193	34	t	t	PROPN
ejpam-3538	193	35	;	;	PUNCT
ejpam-3538	193	36	)	)	PUNCT
ejpam-3538	193	37	etc	etc	X
ejpam-3538	193	38	are	be	AUX
ejpam-3538	193	39	obtained	obtain	VERB
ejpam-3538	193	40	according	accord	VERB
ejpam-3538	193	41	to	to	ADP
ejpam-3538	193	42	the	the	DET
ejpam-3538	193	43	chain	chain	NOUN
ejpam-3538	193	44	rule	rule	NOUN
ejpam-3538	193	45	.	.	PUNCT
ejpam-3538	194	1	the	the	DET
ejpam-3538	194	2	detail	detail	NOUN
ejpam-3538	194	3	of	of	ADP
ejpam-3538	194	4	these	these	DET
ejpam-3538	194	5	derivatives	derivative	NOUN
ejpam-3538	194	6	is	be	AUX
ejpam-3538	194	7	presented	present	VERB
ejpam-3538	194	8	below	below	ADP
ejpam-3538	194	9	only	only	ADV
ejpam-3538	194	10	for	for	ADP
ejpam-3538	194	11	the	the	DET
ejpam-3538	194	12	flux	flux	PROPN
ejpam-3538	194	13	function	function	PROPN
ejpam-3538	194	14	fm	fm	PROPN
ejpam-3538	194	15	.	.	PUNCT
ejpam-3538	195	1	the	the	DET
ejpam-3538	195	2	higher	high	ADJ
ejpam-3538	195	3	order	order	NOUN
ejpam-3538	195	4	derivatives	derivative	NOUN
ejpam-3538	195	5	for	for	ADP
ejpam-3538	195	6	gm	gm	PROPN
ejpam-3538	195	7	are	be	AUX
ejpam-3538	195	8	obtained	obtain	VERB
ejpam-3538	195	9	in	in	ADP
ejpam-3538	195	10	the	the	DET
ejpam-3538	195	11	same	same	ADJ
ejpam-3538	195	12	manner	manner	NOUN
ejpam-3538	195	13	and	and	CCONJ
ejpam-3538	195	14	hence	hence	ADV
ejpam-3538	195	15	the	the	DET
ejpam-3538	195	16	details	detail	NOUN
ejpam-3538	195	17	are	be	AUX
ejpam-3538	195	18	omitted	omit	VERB
ejpam-3538	195	19	.	.	PUNCT
ejpam-3538	196	1	∂fm	∂fm	PROPN
ejpam-3538	196	2	∂ξ	∂ξ	NOUN
ejpam-3538	197	1	=	=	PUNCT
ejpam-3538	198	1	5∑	5∑	NUM
ejpam-3538	198	2	r=1	r=1	NOUN
ejpam-3538	198	3	∂fm	∂fm	PROPN
ejpam-3538	198	4	∂qr	∂qr	VERB
ejpam-3538	198	5	∂qr	∂qr	NOUN
ejpam-3538	198	6	∂ξ	∂ξ	PROPN
ejpam-3538	198	7	,	,	PUNCT
ejpam-3538	198	8	(	(	PUNCT
ejpam-3538	198	9	17	17	NUM
ejpam-3538	198	10	)	)	PUNCT
ejpam-3538	198	11	differentiating	differentiate	VERB
ejpam-3538	198	12	again	again	ADV
ejpam-3538	198	13	and	and	CCONJ
ejpam-3538	198	14	applying	apply	VERB
ejpam-3538	198	15	the	the	DET
ejpam-3538	198	16	chain	chain	NOUN
ejpam-3538	198	17	rule	rule	NOUN
ejpam-3538	198	18	gives	give	VERB
ejpam-3538	198	19	the	the	DET
ejpam-3538	198	20	following	follow	VERB
ejpam-3538	198	21	second	second	ADJ
ejpam-3538	198	22	order	order	NOUN
ejpam-3538	198	23	flux	flux	NOUN
ejpam-3538	198	24	component	component	NOUN
ejpam-3538	198	25	’s	’s	PART
ejpam-3538	198	26	derivatives	derivative	NOUN
ejpam-3538	198	27	:	:	PUNCT
ejpam-3538	198	28	∂2fm	∂2fm	X
ejpam-3538	199	1	∂ξ∂φ	∂ξ∂φ	X
ejpam-3538	199	2	=	=	SYM
ejpam-3538	199	3	5∑	5∑	NUM
ejpam-3538	199	4	r=1	r=1	NOUN
ejpam-3538	199	5	∂fm	∂fm	PROPN
ejpam-3538	199	6	∂qr	∂qr	VERB
ejpam-3538	199	7	∂2qr	∂2qr	NOUN
ejpam-3538	199	8	∂ξ∂φ	∂ξ∂φ	PROPN
ejpam-3538	199	9	+	+	CCONJ
ejpam-3538	199	10	5∑	5∑	ADJ
ejpam-3538	199	11	r=1	r=1	NOUN
ejpam-3538	199	12	5∑	5∑	ADJ
ejpam-3538	199	13	s=1	s=1	NOUN
ejpam-3538	199	14	∂2fm	∂2fm	X
ejpam-3538	199	15	∂qr∂qs	∂qr∂qs	PROPN
ejpam-3538	199	16	∂qr	∂qr	PROPN
ejpam-3538	199	17	∂ξ	∂ξ	PROPN
ejpam-3538	199	18	∂qs	∂qs	PROPN
ejpam-3538	199	19	∂φ	∂φ	PROPN
ejpam-3538	199	20	,	,	PUNCT
ejpam-3538	199	21	ξ	ξ	X
ejpam-3538	199	22	=	=	SYM
ejpam-3538	199	23	x	x	PROPN
ejpam-3538	199	24	,	,	PUNCT
ejpam-3538	199	25	y	y	PROPN
ejpam-3538	199	26	,	,	PUNCT
ejpam-3538	199	27	t;φ	t;φ	PROPN
ejpam-3538	199	28	=	=	SYM
ejpam-3538	199	29	x	x	PROPN
ejpam-3538	199	30	,	,	PUNCT
ejpam-3538	199	31	y	y	PROPN
ejpam-3538	199	32	,	,	PUNCT
ejpam-3538	199	33	t	t	PROPN
ejpam-3538	199	34	,	,	PUNCT
ejpam-3538	199	35	(	(	PUNCT
ejpam-3538	199	36	18	18	NUM
ejpam-3538	199	37	)	)	PUNCT
ejpam-3538	199	38	and	and	CCONJ
ejpam-3538	199	39	similarly	similarly	ADV
ejpam-3538	199	40	the	the	DET
ejpam-3538	199	41	third	third	ADJ
ejpam-3538	199	42	-	-	PUNCT
ejpam-3538	199	43	order	order	NOUN
ejpam-3538	199	44	derivatives	derivative	NOUN
ejpam-3538	199	45	can	can	AUX
ejpam-3538	199	46	be	be	AUX
ejpam-3538	199	47	calculated	calculate	VERB
ejpam-3538	199	48	using	use	VERB
ejpam-3538	199	49	the	the	DET
ejpam-3538	199	50	chain	chain	NOUN
ejpam-3538	199	51	rule	rule	NOUN
ejpam-3538	199	52	.	.	PUNCT
ejpam-3538	200	1	the	the	DET
ejpam-3538	200	2	third	third	ADJ
ejpam-3538	200	3	order	order	NOUN
ejpam-3538	200	4	derivatives	derivative	NOUN
ejpam-3538	200	5	are	be	AUX
ejpam-3538	200	6	given	give	VERB
ejpam-3538	200	7	below	below	ADV
ejpam-3538	200	8	.	.	PUNCT
ejpam-3538	201	1	fmxxx	fmxxx	PROPN
ejpam-3538	201	2	=	=	NOUN
ejpam-3538	202	1	5∑	5∑	ADJ
ejpam-3538	202	2	p=1	p=1	PROPN
ejpam-3538	202	3	∂fm	∂fm	PROPN
ejpam-3538	202	4	∂qp	∂qp	NOUN
ejpam-3538	202	5	.qpξφχ	.qpξφχ	ADP
ejpam-3538	202	6	+	+	CCONJ
ejpam-3538	202	7	5∑	5∑	ADJ
ejpam-3538	202	8	r=1	r=1	NOUN
ejpam-3538	202	9	5∑	5∑	ADJ
ejpam-3538	202	10	s=1	s=1	NOUN
ejpam-3538	202	11	∂2fm	∂2fm	X
ejpam-3538	202	12	∂qr∂qs	∂qr∂qs	NOUN
ejpam-3538	202	13	(	(	PUNCT
ejpam-3538	202	14	qrξφ.qsχ	qrξφ.qsχ	X
ejpam-3538	202	15	+	+	CCONJ
ejpam-3538	202	16	qrξχ.qsφ	qrξχ.qsφ	X
ejpam-3538	202	17	+	+	X
ejpam-3538	202	18	qrφχqsξ	qrφχqsξ	ADJ
ejpam-3538	202	19	)	)	PUNCT
ejpam-3538	202	20	(	(	PUNCT
ejpam-3538	202	21	19	19	NUM
ejpam-3538	202	22	)	)	PUNCT
ejpam-3538	202	23	+	+	CCONJ
ejpam-3538	202	24	5∑	5∑	NUM
ejpam-3538	202	25	r=1	r=1	NOUN
ejpam-3538	202	26	5∑	5∑	ADJ
ejpam-3538	202	27	s=1	s=1	ADP
ejpam-3538	202	28	5∑	5∑	PROPN
ejpam-3538	202	29	t=1	t=1	PUNCT
ejpam-3538	202	30	∂3fm	∂3fm	DET
ejpam-3538	202	31	∂qr∂qs∂qt	∂qr∂qs∂qt	PROPN
ejpam-3538	202	32	qrξ.qsφ.qtχ	qrξ.qsφ.qtχ	PROPN
ejpam-3538	202	33	,	,	PUNCT
ejpam-3538	202	34	ξ	ξ	X
ejpam-3538	202	35	=	=	SYM
ejpam-3538	202	36	x	x	PROPN
ejpam-3538	202	37	,	,	PUNCT
ejpam-3538	202	38	y	y	PROPN
ejpam-3538	202	39	,	,	PUNCT
ejpam-3538	202	40	t;φ	t;φ	PROPN
ejpam-3538	202	41	=	=	SYM
ejpam-3538	202	42	x	x	PROPN
ejpam-3538	202	43	,	,	PUNCT
ejpam-3538	202	44	y	y	PROPN
ejpam-3538	202	45	,	,	PUNCT
ejpam-3538	202	46	t;χ	t;χ	NOUN
ejpam-3538	202	47	=	=	SYM
ejpam-3538	202	48	x	x	PROPN
ejpam-3538	202	49	,	,	PUNCT
ejpam-3538	202	50	y	y	PROPN
ejpam-3538	202	51	,	,	PUNCT
ejpam-3538	202	52	t	t	PROPN
ejpam-3538	202	53	,	,	PUNCT
ejpam-3538	202	54	(	(	PUNCT
ejpam-3538	202	55	20	20	NUM
ejpam-3538	202	56	)	)	PUNCT
ejpam-3538	202	57	a.	a.	NOUN
ejpam-3538	202	58	sidrah	sidrah	PROPN
ejpam-3538	202	59	,	,	PUNCT
ejpam-3538	202	60	z.	z.	PROPN
ejpam-3538	202	61	saqib	saqib	PROPN
ejpam-3538	202	62	/	/	SYM
ejpam-3538	202	63	eur	eur	PROPN
ejpam-3538	202	64	.	.	PUNCT
ejpam-3538	203	1	j.	j.	PROPN
ejpam-3538	203	2	pure	pure	PROPN
ejpam-3538	203	3	appl	appl	PROPN
ejpam-3538	203	4	.	.	PROPN
ejpam-3538	203	5	math	math	PROPN
ejpam-3538	203	6	,	,	PUNCT
ejpam-3538	203	7	12	12	NUM
ejpam-3538	203	8	(	(	PUNCT
ejpam-3538	203	9	4	4	NUM
ejpam-3538	203	10	)	)	PUNCT
ejpam-3538	203	11	(	(	PUNCT
ejpam-3538	203	12	2019	2019	NUM
ejpam-3538	203	13	)	)	PUNCT
ejpam-3538	203	14	,	,	PUNCT
ejpam-3538	203	15	1464	1464	NUM
ejpam-3538	203	16	-	-	SYM
ejpam-3538	203	17	1482	1482	NUM
ejpam-3538	203	18	1474	1474	NUM
ejpam-3538	203	19	the	the	DET
ejpam-3538	203	20	partial	partial	ADJ
ejpam-3538	203	21	derivatives	derivative	NOUN
ejpam-3538	203	22	of	of	ADP
ejpam-3538	203	23	flux	flux	NOUN
ejpam-3538	203	24	components	component	NOUN
ejpam-3538	203	25	∂fm	∂fm	PROPN
ejpam-3538	203	26	∂qr	∂qr	NOUN
ejpam-3538	203	27	,	,	PUNCT
ejpam-3538	203	28	∂2fm	∂2fm	PUNCT
ejpam-3538	203	29	∂qr∂qs	∂qr∂qs	PROPN
ejpam-3538	203	30	and	and	CCONJ
ejpam-3538	203	31	∂3fm	∂3fm	NOUN
ejpam-3538	203	32	∂qr∂qs∂qt	∂qr∂qs∂qt	PROPN
ejpam-3538	203	33	are	be	AUX
ejpam-3538	203	34	the	the	DET
ejpam-3538	203	35	entries	entry	NOUN
ejpam-3538	203	36	of	of	ADP
ejpam-3538	203	37	the	the	DET
ejpam-3538	203	38	jacobian	jacobian	ADJ
ejpam-3538	203	39	matrices	matrix	NOUN
ejpam-3538	203	40	.	.	PUNCT
ejpam-3538	204	1	for	for	ADP
ejpam-3538	204	2	shallow	shallow	ADJ
ejpam-3538	204	3	water	water	NOUN
ejpam-3538	204	4	mhd	mhd	NOUN
ejpam-3538	204	5	equations	equation	NOUN
ejpam-3538	204	6	,	,	PUNCT
ejpam-3538	204	7	these	these	DET
ejpam-3538	204	8	derivatives	derivative	NOUN
ejpam-3538	204	9	are	be	AUX
ejpam-3538	204	10	obtained	obtain	VERB
ejpam-3538	204	11	by	by	ADP
ejpam-3538	204	12	matlab	matlab	PROPN
ejpam-3538	204	13	symbolic	symbolic	PROPN
ejpam-3538	204	14	computations	computation	NOUN
ejpam-3538	204	15	specially	specially	ADV
ejpam-3538	204	16	for	for	ADP
ejpam-3538	204	17	the	the	DET
ejpam-3538	204	18	third	third	ADJ
ejpam-3538	204	19	order	order	NOUN
ejpam-3538	204	20	case	case	NOUN
ejpam-3538	204	21	.	.	PUNCT
ejpam-3538	205	1	the	the	DET
ejpam-3538	205	2	computation	computation	NOUN
ejpam-3538	205	3	of	of	ADP
ejpam-3538	205	4	time	time	NOUN
ejpam-3538	205	5	derivatives	derivative	NOUN
ejpam-3538	205	6	of	of	ADP
ejpam-3538	205	7	flux	flux	NOUN
ejpam-3538	205	8	variables	variable	NOUN
ejpam-3538	205	9	are	be	AUX
ejpam-3538	205	10	obtained	obtain	VERB
ejpam-3538	205	11	by	by	ADP
ejpam-3538	205	12	using	use	VERB
ejpam-3538	205	13	the	the	DET
ejpam-3538	205	14	conservation	conservation	NOUN
ejpam-3538	205	15	law	law	NOUN
ejpam-3538	205	16	.	.	PUNCT
ejpam-3538	206	1	qmt	qmt	PROPN
ejpam-3538	206	2	=	=	SYM
ejpam-3538	206	3	−fmx	−fmx	NOUN
ejpam-3538	206	4	−	−	PROPN
ejpam-3538	207	1	gmy	gmy	PROPN
ejpam-3538	207	2	.	.	PUNCT
ejpam-3538	208	1	(	(	PUNCT
ejpam-3538	208	2	21	21	NUM
ejpam-3538	208	3	)	)	PUNCT
ejpam-3538	208	4	taking	take	VERB
ejpam-3538	208	5	derivative	derivative	NOUN
ejpam-3538	208	6	with	with	ADP
ejpam-3538	208	7	respect	respect	NOUN
ejpam-3538	208	8	to	to	ADP
ejpam-3538	208	9	space	space	NOUN
ejpam-3538	208	10	variable	variable	NOUN
ejpam-3538	208	11	x	x	NOUN
ejpam-3538	208	12	on	on	ADP
ejpam-3538	208	13	both	both	DET
ejpam-3538	208	14	sides	side	NOUN
ejpam-3538	208	15	and	and	CCONJ
ejpam-3538	208	16	treating	treat	VERB
ejpam-3538	208	17	the	the	DET
ejpam-3538	208	18	mixed	mixed	ADJ
ejpam-3538	208	19	space	space	NOUN
ejpam-3538	208	20	and	and	CCONJ
ejpam-3538	208	21	time	time	NOUN
ejpam-3538	208	22	derivatives	derivative	NOUN
ejpam-3538	208	23	same	same	ADJ
ejpam-3538	208	24	allows	allow	VERB
ejpam-3538	208	25	to	to	PART
ejpam-3538	208	26	write	write	VERB
ejpam-3538	208	27	down	down	ADP
ejpam-3538	208	28	qmxt	qmxt	NOUN
ejpam-3538	209	1	=	=	PUNCT
ejpam-3538	209	2	−fmxx	−fmxx	NOUN
ejpam-3538	210	1	−	−	PROPN
ejpam-3538	210	2	gmyx	gmyx	NOUN
ejpam-3538	210	3	.	.	PUNCT
ejpam-3538	211	1	(	(	PUNCT
ejpam-3538	211	2	22	22	NUM
ejpam-3538	211	3	)	)	PUNCT
ejpam-3538	211	4	similarly	similarly	ADV
ejpam-3538	211	5	,	,	PUNCT
ejpam-3538	211	6	for	for	ADP
ejpam-3538	211	7	time	time	NOUN
ejpam-3538	211	8	variable	variable	ADJ
ejpam-3538	211	9	t	t	NOUN
ejpam-3538	211	10	qmtt	qmtt	NOUN
ejpam-3538	211	11	=	=	PUNCT
ejpam-3538	211	12	−fmxt	−fmxt	VERB
ejpam-3538	211	13	−	−	PROPN
ejpam-3538	211	14	gmyt	gmyt	ADJ
ejpam-3538	211	15	.	.	PUNCT
ejpam-3538	212	1	(	(	PUNCT
ejpam-3538	212	2	23	23	NUM
ejpam-3538	212	3	)	)	PUNCT
ejpam-3538	212	4	using	use	VERB
ejpam-3538	212	5	the	the	DET
ejpam-3538	212	6	values	value	NOUN
ejpam-3538	212	7	of	of	ADP
ejpam-3538	212	8	partial	partial	ADJ
ejpam-3538	212	9	derivatives	derivative	NOUN
ejpam-3538	212	10	of	of	ADP
ejpam-3538	212	11	fm	fm	PROPN
ejpam-3538	212	12	and	and	CCONJ
ejpam-3538	212	13	gm	gm	PROPN
ejpam-3538	212	14	provides	provide	VERB
ejpam-3538	212	15	the	the	DET
ejpam-3538	212	16	values	value	NOUN
ejpam-3538	212	17	of	of	ADP
ejpam-3538	212	18	qmtt	qmtt	NOUN
ejpam-3538	212	19	which	which	PRON
ejpam-3538	212	20	gives	give	VERB
ejpam-3538	212	21	the	the	DET
ejpam-3538	212	22	values	value	NOUN
ejpam-3538	212	23	for	for	ADP
ejpam-3538	212	24	fmtt	fmtt	NOUN
ejpam-3538	212	25	according	accord	VERB
ejpam-3538	212	26	to	to	ADP
ejpam-3538	212	27	above	above	ADJ
ejpam-3538	212	28	equations	equation	NOUN
ejpam-3538	212	29	.	.	PUNCT
ejpam-3538	213	1	again	again	ADV
ejpam-3538	213	2	taking	take	VERB
ejpam-3538	213	3	the	the	DET
ejpam-3538	213	4	time	time	NOUN
ejpam-3538	213	5	and	and	CCONJ
ejpam-3538	213	6	space	space	NOUN
ejpam-3538	213	7	derivatives	derivative	NOUN
ejpam-3538	213	8	on	on	ADP
ejpam-3538	213	9	both	both	DET
ejpam-3538	213	10	sides	side	NOUN
ejpam-3538	213	11	of	of	ADP
ejpam-3538	213	12	equation	equation	NOUN
ejpam-3538	213	13	23	23	NUM
ejpam-3538	213	14	follows	follow	VERB
ejpam-3538	213	15	qmxtt	qmxtt	NOUN
ejpam-3538	213	16	=	=	PUNCT
ejpam-3538	214	1	−fmxxt	−fmxxt	NOUN
ejpam-3538	214	2	−	−	PROPN
ejpam-3538	214	3	gmyxt	gmyxt	NOUN
ejpam-3538	214	4	,	,	PUNCT
ejpam-3538	214	5	(	(	PUNCT
ejpam-3538	214	6	24	24	NUM
ejpam-3538	214	7	)	)	PUNCT
ejpam-3538	214	8	and	and	CCONJ
ejpam-3538	214	9	qmttt	qmttt	NOUN
ejpam-3538	214	10	=	=	PUNCT
ejpam-3538	214	11	−fmxtt	−fmxtt	NOUN
ejpam-3538	215	1	−	−	NOUN
ejpam-3538	215	2	gmytt	gmytt	NOUN
ejpam-3538	215	3	.	.	PUNCT
ejpam-3538	216	1	(	(	PUNCT
ejpam-3538	216	2	25	25	NUM
ejpam-3538	216	3	)	)	PUNCT
ejpam-3538	216	4	using	use	VERB
ejpam-3538	216	5	the	the	DET
ejpam-3538	216	6	values	value	NOUN
ejpam-3538	216	7	of	of	ADP
ejpam-3538	216	8	partial	partial	ADJ
ejpam-3538	216	9	derivatives	derivative	NOUN
ejpam-3538	216	10	of	of	ADP
ejpam-3538	216	11	fm	fm	PROPN
ejpam-3538	216	12	and	and	CCONJ
ejpam-3538	216	13	gm	gm	PROPN
ejpam-3538	216	14	provides	provide	VERB
ejpam-3538	216	15	the	the	DET
ejpam-3538	216	16	values	value	NOUN
ejpam-3538	216	17	of	of	ADP
ejpam-3538	216	18	qmtt	qmtt	NOUN
ejpam-3538	216	19	which	which	PRON
ejpam-3538	216	20	gives	give	VERB
ejpam-3538	216	21	the	the	DET
ejpam-3538	216	22	values	value	NOUN
ejpam-3538	216	23	for	for	ADP
ejpam-3538	216	24	fmttt	fmttt	PROPN
ejpam-3538	216	25	according	accord	VERB
ejpam-3538	216	26	to	to	ADP
ejpam-3538	216	27	above	above	ADP
ejpam-3538	216	28	equations	equation	NOUN
ejpam-3538	216	29	.	.	PUNCT
ejpam-3538	217	1	similarly	similarly	ADV
ejpam-3538	217	2	we	we	PRON
ejpam-3538	217	3	can	can	AUX
ejpam-3538	217	4	find	find	VERB
ejpam-3538	217	5	the	the	DET
ejpam-3538	217	6	higher	high	ADJ
ejpam-3538	217	7	order	order	NOUN
ejpam-3538	217	8	time	time	NOUN
ejpam-3538	217	9	derivatives	derivative	NOUN
ejpam-3538	217	10	for	for	ADP
ejpam-3538	217	11	gm	gm	PROPN
ejpam-3538	217	12	only	only	ADV
ejpam-3538	217	13	be	be	AUX
ejpam-3538	217	14	changing	change	VERB
ejpam-3538	217	15	the	the	DET
ejpam-3538	217	16	differentiation	differentiation	NOUN
ejpam-3538	217	17	with	with	ADP
ejpam-3538	217	18	respect	respect	NOUN
ejpam-3538	217	19	to	to	ADP
ejpam-3538	217	20	y	y	PROPN
ejpam-3538	217	21	in	in	ADP
ejpam-3538	217	22	place	place	NOUN
ejpam-3538	217	23	of	of	ADP
ejpam-3538	217	24	x.	x.	NOUN
ejpam-3538	217	25	2.2	2.2	NUM
ejpam-3538	217	26	.	.	PUNCT
ejpam-3538	218	1	spatial	spatial	ADJ
ejpam-3538	218	2	derivatives	derivative	NOUN
ejpam-3538	218	3	of	of	ADP
ejpam-3538	218	4	conserved	conserved	ADJ
ejpam-3538	218	5	variables	variable	NOUN
ejpam-3538	218	6	at	at	ADP
ejpam-3538	218	7	this	this	DET
ejpam-3538	218	8	point	point	NOUN
ejpam-3538	218	9	,	,	PUNCT
ejpam-3538	218	10	all	all	DET
ejpam-3538	218	11	the	the	DET
ejpam-3538	218	12	time	time	NOUN
ejpam-3538	218	13	derivatives	derivative	NOUN
ejpam-3538	218	14	of	of	ADP
ejpam-3538	218	15	conservative	conservative	ADJ
ejpam-3538	218	16	variables	variable	NOUN
ejpam-3538	218	17	are	be	AUX
ejpam-3538	218	18	available	available	ADJ
ejpam-3538	218	19	through	through	ADP
ejpam-3538	218	20	the	the	DET
ejpam-3538	218	21	derivatives	derivative	NOUN
ejpam-3538	218	22	of	of	ADP
ejpam-3538	218	23	flux	flux	PROPN
ejpam-3538	218	24	fm	fm	PROPN
ejpam-3538	218	25	and	and	CCONJ
ejpam-3538	218	26	the	the	DET
ejpam-3538	218	27	flux	flux	NOUN
ejpam-3538	218	28	derivatives	derivative	NOUN
ejpam-3538	218	29	.	.	PUNCT
ejpam-3538	219	1	now	now	ADV
ejpam-3538	219	2	at	at	ADP
ejpam-3538	219	3	the	the	DET
ejpam-3538	219	4	end	end	NOUN
ejpam-3538	219	5	it	it	PRON
ejpam-3538	219	6	is	be	AUX
ejpam-3538	219	7	only	only	ADV
ejpam-3538	219	8	left	leave	VERB
ejpam-3538	219	9	to	to	PART
ejpam-3538	219	10	get	get	VERB
ejpam-3538	219	11	the	the	DET
ejpam-3538	219	12	space	space	NOUN
ejpam-3538	219	13	derivative	derivative	ADJ
ejpam-3538	219	14	variables	variable	NOUN
ejpam-3538	219	15	of	of	ADP
ejpam-3538	219	16	qm	qm	PROPN
ejpam-3538	219	17	such	such	ADJ
ejpam-3538	219	18	as	as	ADP
ejpam-3538	219	19	qmξ	qmξ	NOUN
ejpam-3538	219	20	,	,	PUNCT
ejpam-3538	219	21	qmξφ	qmξφ	NOUN
ejpam-3538	219	22	,	,	PUNCT
ejpam-3538	219	23	and	and	CCONJ
ejpam-3538	219	24	qmξφχ	qmξφχ	NOUN
ejpam-3538	219	25	ξ	ξ	PROPN
ejpam-3538	219	26	=	=	SYM
ejpam-3538	219	27	x	x	PROPN
ejpam-3538	219	28	,	,	PUNCT
ejpam-3538	219	29	y	y	PROPN
ejpam-3538	219	30	;	;	PUNCT
ejpam-3538	219	31	φ	φ	PROPN
ejpam-3538	219	32	=	=	SYM
ejpam-3538	219	33	x	x	PROPN
ejpam-3538	219	34	,	,	PUNCT
ejpam-3538	219	35	y	y	PROPN
ejpam-3538	219	36	;	;	PUNCT
ejpam-3538	219	37	χ	χ	NOUN
ejpam-3538	219	38	=	=	SYM
ejpam-3538	219	39	x	x	PROPN
ejpam-3538	219	40	,	,	PUNCT
ejpam-3538	219	41	y.	y.	NOUN
ejpam-3538	219	42	the	the	DET
ejpam-3538	219	43	first	first	ADJ
ejpam-3538	219	44	derivative	derivative	ADJ
ejpam-3538	219	45	qmξ	qmξ	NOUN
ejpam-3538	219	46	is	be	AUX
ejpam-3538	219	47	updated	update	VERB
ejpam-3538	219	48	at	at	ADP
ejpam-3538	219	49	the	the	DET
ejpam-3538	219	50	ith	ith	PROPN
ejpam-3538	219	51	node	node	NOUN
ejpam-3538	219	52	using	use	VERB
ejpam-3538	219	53	the	the	DET
ejpam-3538	219	54	updated	update	VERB
ejpam-3538	219	55	values	value	NOUN
ejpam-3538	219	56	of	of	ADP
ejpam-3538	219	57	qm	qm	PROPN
ejpam-3538	219	58	obtained	obtain	VERB
ejpam-3538	219	59	from	from	ADP
ejpam-3538	219	60	equation	equation	NOUN
ejpam-3538	219	61	21	21	NUM
ejpam-3538	219	62	.	.	PUNCT
ejpam-3538	220	1	in	in	ADP
ejpam-3538	220	2	general	general	ADJ
ejpam-3538	220	3	each	each	DET
ejpam-3538	220	4	higher	high	ADJ
ejpam-3538	220	5	order	order	NOUN
ejpam-3538	220	6	space	space	NOUN
ejpam-3538	220	7	derivatives	derivative	NOUN
ejpam-3538	220	8	of	of	ADP
ejpam-3538	220	9	conserved	conserved	ADJ
ejpam-3538	220	10	variables	variable	NOUN
ejpam-3538	220	11	is	be	AUX
ejpam-3538	220	12	updated	update	VERB
ejpam-3538	220	13	using	use	VERB
ejpam-3538	220	14	the	the	DET
ejpam-3538	220	15	updated	update	VERB
ejpam-3538	220	16	values	value	NOUN
ejpam-3538	220	17	of	of	ADP
ejpam-3538	220	18	next	next	ADJ
ejpam-3538	220	19	higher	high	ADJ
ejpam-3538	220	20	order	order	NOUN
ejpam-3538	220	21	derivative	derivative	NOUN
ejpam-3538	220	22	.	.	PUNCT
ejpam-3538	221	1	now	now	ADV
ejpam-3538	221	2	,	,	PUNCT
ejpam-3538	221	3	for	for	ADP
ejpam-3538	221	4	the	the	DET
ejpam-3538	221	5	fourthorder	fourthorder	NOUN
ejpam-3538	221	6	scheme	scheme	NOUN
ejpam-3538	221	7	,	,	PUNCT
ejpam-3538	221	8	the	the	DET
ejpam-3538	221	9	values	value	NOUN
ejpam-3538	221	10	of	of	ADP
ejpam-3538	221	11	two	two	NUM
ejpam-3538	221	12	more	more	ADJ
ejpam-3538	221	13	derivatives	derivative	NOUN
ejpam-3538	221	14	qmξφ	qmξφ	ADV
ejpam-3538	221	15	and	and	CCONJ
ejpam-3538	221	16	qmξφχ	qmξφχ	NOUN
ejpam-3538	221	17	are	be	AUX
ejpam-3538	221	18	required	require	VERB
ejpam-3538	221	19	to	to	PART
ejpam-3538	221	20	update	update	VERB
ejpam-3538	221	21	.	.	PUNCT
ejpam-3538	222	1	proceeding	proceed	VERB
ejpam-3538	222	2	in	in	ADP
ejpam-3538	222	3	following	follow	VERB
ejpam-3538	222	4	steps	step	NOUN
ejpam-3538	222	5	allows	allow	VERB
ejpam-3538	222	6	to	to	PART
ejpam-3538	222	7	get	get	VERB
ejpam-3538	222	8	the	the	DET
ejpam-3538	222	9	updated	update	VERB
ejpam-3538	222	10	values	value	NOUN
ejpam-3538	222	11	of	of	ADP
ejpam-3538	222	12	all	all	DET
ejpam-3538	222	13	the	the	DET
ejpam-3538	222	14	derivatives	derivative	NOUN
ejpam-3538	222	15	:	:	PUNCT
ejpam-3538	222	16	1	1	NUM
ejpam-3538	222	17	:	:	PUNCT
ejpam-3538	222	18	updating	update	VERB
ejpam-3538	222	19	qmξφχ	qmξφχ	NOUN
ejpam-3538	222	20	at	at	ADP
ejpam-3538	222	21	ci	ci	NOUN
ejpam-3538	222	22	;	;	PUNCT
ejpam-3538	222	23	2	2	NUM
ejpam-3538	222	24	:	:	PUNCT
ejpam-3538	222	25	updating	update	VERB
ejpam-3538	222	26	qmξφ	qmξφ	NOUN
ejpam-3538	222	27	at	at	ADP
ejpam-3538	222	28	ci	ci	NOUN
ejpam-3538	222	29	;	;	PUNCT
ejpam-3538	222	30	3	3	NUM
ejpam-3538	222	31	:	:	PUNCT
ejpam-3538	222	32	updating	update	VERB
ejpam-3538	222	33	qm	qm	PROPN
ejpam-3538	222	34	at	at	ADP
ejpam-3538	222	35	ci	ci	NOUN
ejpam-3538	222	36	;	;	PUNCT
ejpam-3538	222	37	4	4	NUM
ejpam-3538	222	38	:	:	PUNCT
ejpam-3538	222	39	updating	update	VERB
ejpam-3538	222	40	qmξ	qmξ	NOUN
ejpam-3538	222	41	at	at	ADP
ejpam-3538	222	42	ci	ci	PROPN
ejpam-3538	222	43	.	.	PROPN
ejpam-3538	222	44	.	.	PUNCT
ejpam-3538	223	1	the	the	DET
ejpam-3538	223	2	details	detail	NOUN
ejpam-3538	223	3	are	be	AUX
ejpam-3538	223	4	omitted	omit	VERB
ejpam-3538	223	5	and	and	CCONJ
ejpam-3538	223	6	the	the	DET
ejpam-3538	223	7	reader	reader	NOUN
ejpam-3538	223	8	is	be	AUX
ejpam-3538	223	9	referred	refer	VERB
ejpam-3538	223	10	to	to	ADP
ejpam-3538	223	11	the	the	DET
ejpam-3538	223	12	work	work	NOUN
ejpam-3538	223	13	of	of	ADP
ejpam-3538	223	14	yang	yang	PROPN
ejpam-3538	223	15	yun	yun	PROPN
ejpam-3538	223	16	et	et	PROPN
ejpam-3538	223	17	al	al	PROPN
ejpam-3538	224	1	[	[	X
ejpam-3538	224	2	23	23	NUM
ejpam-3538	224	3	]	]	PUNCT
ejpam-3538	224	4	for	for	ADP
ejpam-3538	224	5	details	detail	NOUN
ejpam-3538	224	6	.	.	PUNCT
ejpam-3538	225	1	a.	a.	PROPN
ejpam-3538	225	2	sidrah	sidrah	PROPN
ejpam-3538	225	3	,	,	PUNCT
ejpam-3538	225	4	z.	z.	PROPN
ejpam-3538	225	5	saqib	saqib	PROPN
ejpam-3538	225	6	/	/	SYM
ejpam-3538	225	7	eur	eur	PROPN
ejpam-3538	225	8	.	.	PUNCT
ejpam-3538	226	1	j.	j.	PROPN
ejpam-3538	226	2	pure	pure	PROPN
ejpam-3538	226	3	appl	appl	PROPN
ejpam-3538	226	4	.	.	PROPN
ejpam-3538	226	5	math	math	PROPN
ejpam-3538	226	6	,	,	PUNCT
ejpam-3538	226	7	12	12	NUM
ejpam-3538	226	8	(	(	PUNCT
ejpam-3538	226	9	4	4	NUM
ejpam-3538	226	10	)	)	PUNCT
ejpam-3538	226	11	(	(	PUNCT
ejpam-3538	226	12	2019	2019	NUM
ejpam-3538	226	13	)	)	PUNCT
ejpam-3538	226	14	,	,	PUNCT
ejpam-3538	226	15	1464	1464	NUM
ejpam-3538	226	16	-	-	SYM
ejpam-3538	226	17	1482	1482	NUM
ejpam-3538	226	18	1475	1475	NUM
ejpam-3538	226	19	2.3	2.3	NUM
ejpam-3538	226	20	.	.	PUNCT
ejpam-3538	227	1	divergence	divergence	NOUN
ejpam-3538	227	2	constraint	constraint	PROPN
ejpam-3538	227	3	the	the	DET
ejpam-3538	227	4	swmhd	swmhd	ADJ
ejpam-3538	227	5	system	system	NOUN
ejpam-3538	227	6	is	be	AUX
ejpam-3538	227	7	augmented	augment	VERB
ejpam-3538	227	8	by	by	ADP
ejpam-3538	227	9	the	the	DET
ejpam-3538	227	10	divergence	divergence	NOUN
ejpam-3538	227	11	constraint	constraint	NOUN
ejpam-3538	227	12	∇	∇	X
ejpam-3538	227	13	·	·	PUNCT
ejpam-3538	227	14	(	(	PUNCT
ejpam-3538	227	15	hb	hb	X
ejpam-3538	227	16	)	)	PUNCT
ejpam-3538	227	17	.	.	PUNCT
ejpam-3538	228	1	the	the	DET
ejpam-3538	228	2	numerical	numerical	ADJ
ejpam-3538	228	3	solution	solution	NOUN
ejpam-3538	228	4	obtained	obtain	VERB
ejpam-3538	228	5	from	from	ADP
ejpam-3538	228	6	the	the	DET
ejpam-3538	228	7	cese	cese	ADJ
ejpam-3538	228	8	method	method	NOUN
ejpam-3538	228	9	must	must	AUX
ejpam-3538	228	10	satisfy	satisfy	VERB
ejpam-3538	228	11	this	this	DET
ejpam-3538	228	12	equation	equation	NOUN
ejpam-3538	228	13	.	.	PUNCT
ejpam-3538	229	1	hence	hence	ADV
ejpam-3538	229	2	a	a	DET
ejpam-3538	229	3	divergence	divergence	NOUN
ejpam-3538	229	4	cleaning	cleaning	NOUN
ejpam-3538	229	5	procedure	procedure	NOUN
ejpam-3538	229	6	is	be	AUX
ejpam-3538	229	7	required	require	VERB
ejpam-3538	229	8	to	to	PART
ejpam-3538	229	9	embed	embed	VERB
ejpam-3538	229	10	in	in	ADP
ejpam-3538	229	11	the	the	DET
ejpam-3538	229	12	cese	cese	ADJ
ejpam-3538	229	13	method	method	NOUN
ejpam-3538	229	14	.	.	PUNCT
ejpam-3538	230	1	the	the	DET
ejpam-3538	230	2	projection	projection	NOUN
ejpam-3538	230	3	method	method	NOUN
ejpam-3538	230	4	has	have	AUX
ejpam-3538	230	5	been	be	AUX
ejpam-3538	230	6	adopted	adopt	VERB
ejpam-3538	230	7	for	for	ADP
ejpam-3538	230	8	this	this	DET
ejpam-3538	230	9	purpose	purpose	NOUN
ejpam-3538	230	10	as	as	SCONJ
ejpam-3538	230	11	seen	see	VERB
ejpam-3538	230	12	in	in	ADP
ejpam-3538	230	13	the	the	DET
ejpam-3538	230	14	work	work	NOUN
ejpam-3538	231	1	[	[	X
ejpam-3538	231	2	2],[16	2],[16	X
ejpam-3538	231	3	]	]	PUNCT
ejpam-3538	231	4	and	and	CCONJ
ejpam-3538	232	1	[	[	X
ejpam-3538	232	2	20	20	NUM
ejpam-3538	232	3	]	]	PUNCT
ejpam-3538	232	4	.	.	PUNCT
ejpam-3538	233	1	consider	consider	VERB
ejpam-3538	233	2	the	the	DET
ejpam-3538	233	3	updated	update	VERB
ejpam-3538	233	4	values	value	NOUN
ejpam-3538	233	5	(	(	PUNCT
ejpam-3538	233	6	hn+1	hn+1	PROPN
ejpam-3538	233	7	,	,	PUNCT
ejpam-3538	233	8	(	(	PUNCT
ejpam-3538	233	9	hu1)n+1	hu1)n+1	ADV
ejpam-3538	233	10	,	,	PUNCT
ejpam-3538	233	11	(	(	PUNCT
ejpam-3538	233	12	hu2)n+1	hu2)n+1	ADJ
ejpam-3538	233	13	,	,	PUNCT
ejpam-3538	233	14	(	(	PUNCT
ejpam-3538	233	15	hb1)n+1	hb1)n+1	ADJ
ejpam-3538	233	16	,	,	PUNCT
ejpam-3538	233	17	(	(	PUNCT
ejpam-3538	233	18	hb2)n+1	hb2)n+1	NOUN
ejpam-3538	233	19	)	)	PUNCT
ejpam-3538	233	20	.	.	PUNCT
ejpam-3538	234	1	it	it	PRON
ejpam-3538	234	2	readily	readily	ADV
ejpam-3538	234	3	gives	give	VERB
ejpam-3538	234	4	b∗1	b∗1	NOUN
ejpam-3538	234	5	=	=	PUNCT
ejpam-3538	234	6	(	(	PUNCT
ejpam-3538	234	7	hb1)n+1	hb1)n+1	NOUN
ejpam-3538	234	8	h(n+1	h(n+1	NOUN
ejpam-3538	234	9	)	)	PUNCT
ejpam-3538	234	10	and	and	CCONJ
ejpam-3538	234	11	b∗2	b∗2	NOUN
ejpam-3538	234	12	=	=	SYM
ejpam-3538	234	13	(	(	PUNCT
ejpam-3538	234	14	hb2)n+1	hb2)n+1	X
ejpam-3538	234	15	h(n+1	h(n+1	NOUN
ejpam-3538	234	16	)	)	PUNCT
ejpam-3538	234	17	.	.	PUNCT
ejpam-3538	235	1	define	define	VERB
ejpam-3538	235	2	b∗	b∗	ADJ
ejpam-3538	235	3	=	=	SYM
ejpam-3538	235	4	(	(	PUNCT
ejpam-3538	235	5	b∗1	b∗1	NOUN
ejpam-3538	235	6	,	,	PUNCT
ejpam-3538	235	7	b	b	NOUN
ejpam-3538	235	8	∗	∗	NOUN
ejpam-3538	235	9	2	2	NUM
ejpam-3538	235	10	)	)	PUNCT
ejpam-3538	235	11	as	as	ADP
ejpam-3538	235	12	the	the	DET
ejpam-3538	235	13	vector	vector	NOUN
ejpam-3538	235	14	of	of	ADP
ejpam-3538	235	15	magnetic	magnetic	ADJ
ejpam-3538	235	16	field	field	NOUN
ejpam-3538	235	17	components	component	NOUN
ejpam-3538	235	18	.	.	PUNCT
ejpam-3538	236	1	this	this	PRON
ejpam-3538	236	2	is	be	AUX
ejpam-3538	236	3	decomposed	decompose	VERB
ejpam-3538	236	4	into	into	ADP
ejpam-3538	236	5	curl	curl	NOUN
ejpam-3538	236	6	of	of	ADP
ejpam-3538	236	7	magnetic	magnetic	ADJ
ejpam-3538	236	8	potential	potential	NOUN
ejpam-3538	236	9	a	a	PRON
ejpam-3538	236	10	and	and	CCONJ
ejpam-3538	236	11	divergence	divergence	NOUN
ejpam-3538	236	12	of	of	ADP
ejpam-3538	236	13	potential	potential	ADJ
ejpam-3538	236	14	function	function	NOUN
ejpam-3538	236	15	φ	φ	NOUN
ejpam-3538	236	16	as	as	ADP
ejpam-3538	236	17	b∗	b∗	ADV
ejpam-3538	237	1	=	=	SYM
ejpam-3538	237	2	5×a+5φ	5×a+5φ	NUM
ejpam-3538	237	3	.	.	PUNCT
ejpam-3538	238	1	(	(	PUNCT
ejpam-3538	238	2	26	26	NUM
ejpam-3538	238	3	)	)	PUNCT
ejpam-3538	238	4	taking	take	VERB
ejpam-3538	238	5	the	the	DET
ejpam-3538	238	6	divergence	divergence	NOUN
ejpam-3538	238	7	on	on	ADP
ejpam-3538	238	8	both	both	DET
ejpam-3538	238	9	sides	side	NOUN
ejpam-3538	238	10	of	of	ADP
ejpam-3538	238	11	above	above	ADP
ejpam-3538	238	12	equation	equation	NOUN
ejpam-3538	238	13	gives	give	VERB
ejpam-3538	238	14	52φ	52φ	NOUN
ejpam-3538	238	15	=	=	SYM
ejpam-3538	238	16	5	5	NUM
ejpam-3538	238	17	·	·	SYM
ejpam-3538	238	18	b∗.	b∗.	NOUN
ejpam-3538	238	19	(	(	PUNCT
ejpam-3538	238	20	27	27	NUM
ejpam-3538	238	21	)	)	PUNCT
ejpam-3538	238	22	solving	solve	VERB
ejpam-3538	238	23	equation	equation	NOUN
ejpam-3538	238	24	27	27	NUM
ejpam-3538	238	25	for	for	ADP
ejpam-3538	238	26	φ	φ	PROPN
ejpam-3538	238	27	gives	give	VERB
ejpam-3538	238	28	the	the	DET
ejpam-3538	238	29	divergence	divergence	NOUN
ejpam-3538	238	30	free	free	ADJ
ejpam-3538	238	31	magnetic	magnetic	ADJ
ejpam-3538	238	32	field	field	NOUN
ejpam-3538	238	33	at	at	ADP
ejpam-3538	238	34	time	time	NOUN
ejpam-3538	238	35	level	level	NOUN
ejpam-3538	238	36	t	t	PROPN
ejpam-3538	238	37	=	=	SYM
ejpam-3538	238	38	tn+1	tn+1	PROPN
ejpam-3538	238	39	by	by	ADP
ejpam-3538	238	40	bn+1	bn+1	PROPN
ejpam-3538	238	41	=	=	SYM
ejpam-3538	238	42	b∗	b∗	ADJ
ejpam-3538	238	43	−5φ	−5φ	PROPN
ejpam-3538	238	44	.	.	PUNCT
ejpam-3538	239	1	3	3	X
ejpam-3538	239	2	.	.	X
ejpam-3538	239	3	numerical	numerical	PROPN
ejpam-3538	239	4	test	test	PROPN
ejpam-3538	239	5	caes	caes	PROPN
ejpam-3538	239	6	this	this	DET
ejpam-3538	239	7	section	section	NOUN
ejpam-3538	239	8	presents	present	VERB
ejpam-3538	239	9	one	one	NUM
ejpam-3538	239	10	and	and	CCONJ
ejpam-3538	239	11	two	two	NUM
ejpam-3538	239	12	dimensional	dimensional	ADJ
ejpam-3538	239	13	test	test	NOUN
ejpam-3538	239	14	problems	problem	NOUN
ejpam-3538	239	15	taken	take	VERB
ejpam-3538	239	16	from	from	ADP
ejpam-3538	239	17	literature	literature	NOUN
ejpam-3538	239	18	.	.	PUNCT
ejpam-3538	240	1	both	both	PRON
ejpam-3538	240	2	2nd	2nd	ADJ
ejpam-3538	240	3	-	-	PUNCT
ejpam-3538	240	4	order	order	NOUN
ejpam-3538	240	5	and	and	CCONJ
ejpam-3538	240	6	4th	4th	ADJ
ejpam-3538	240	7	-	-	PUNCT
ejpam-3538	240	8	order	order	NOUN
ejpam-3538	240	9	cese	cese	NOUN
ejpam-3538	240	10	schemes	scheme	NOUN
ejpam-3538	240	11	have	have	AUX
ejpam-3538	240	12	been	be	AUX
ejpam-3538	240	13	applied	apply	VERB
ejpam-3538	240	14	to	to	ADP
ejpam-3538	240	15	these	these	DET
ejpam-3538	240	16	problem	problem	NOUN
ejpam-3538	240	17	.	.	PUNCT
ejpam-3538	241	1	3.1	3.1	NUM
ejpam-3538	241	2	.	.	PUNCT
ejpam-3538	242	1	one	one	NUM
ejpam-3538	242	2	dimensional	dimensional	ADJ
ejpam-3538	242	3	riemann	riemann	PROPN
ejpam-3538	242	4	problem	problem	NOUN
ejpam-3538	242	5	a	a	DET
ejpam-3538	242	6	numerical	numerical	ADJ
ejpam-3538	242	7	test	test	NOUN
ejpam-3538	242	8	is	be	AUX
ejpam-3538	242	9	performed	perform	VERB
ejpam-3538	242	10	to	to	PART
ejpam-3538	242	11	demonstrate	demonstrate	VERB
ejpam-3538	242	12	the	the	DET
ejpam-3538	242	13	robustness	robustness	NOUN
ejpam-3538	242	14	and	and	CCONJ
ejpam-3538	242	15	the	the	DET
ejpam-3538	242	16	accuracy	accuracy	NOUN
ejpam-3538	242	17	of	of	ADP
ejpam-3538	242	18	4thorder	4thorder	NUM
ejpam-3538	242	19	cese	cese	ADJ
ejpam-3538	242	20	scheme	scheme	NOUN
ejpam-3538	242	21	over	over	ADP
ejpam-3538	242	22	2nd	2nd	ADJ
ejpam-3538	242	23	-	-	PUNCT
ejpam-3538	242	24	order	order	NOUN
ejpam-3538	242	25	cese	cese	ADJ
ejpam-3538	242	26	schem	schem	NOUN
ejpam-3538	242	27	.	.	PUNCT
ejpam-3538	243	1	a	a	DET
ejpam-3538	243	2	strong	strong	ADJ
ejpam-3538	243	3	riemann	riemann	PROPN
ejpam-3538	243	4	problem	problem	NOUN
ejpam-3538	243	5	has	have	AUX
ejpam-3538	243	6	been	be	AUX
ejpam-3538	243	7	solved	solve	VERB
ejpam-3538	243	8	here	here	ADV
ejpam-3538	243	9	.	.	PUNCT
ejpam-3538	244	1	this	this	DET
ejpam-3538	244	2	problem	problem	NOUN
ejpam-3538	244	3	is	be	AUX
ejpam-3538	244	4	taken	take	VERB
ejpam-3538	244	5	from	from	ADP
ejpam-3538	244	6	[	[	X
ejpam-3538	244	7	22	22	NUM
ejpam-3538	244	8	]	]	PUNCT
ejpam-3538	244	9	.	.	PUNCT
ejpam-3538	245	1	the	the	DET
ejpam-3538	245	2	initial	initial	ADJ
ejpam-3538	245	3	conditions	condition	NOUN
ejpam-3538	245	4	are	be	AUX
ejpam-3538	245	5	given	give	VERB
ejpam-3538	245	6	as:	as:	PROPN
ejpam-3538	245	7	h	h	NOUN
ejpam-3538	245	8	v1	v1	PROPN
ejpam-3538	245	9	v2	v2	PROPN
ejpam-3538	245	10	b1	b1	NOUN
ejpam-3538	245	11	b2	b2	NOUN
ejpam-3538	245	12			NOUN
ejpam-3538	245	13	=	=	PUNCT
ejpam-3538	245	14	{	{	PUNCT
ejpam-3538	245	15	[	[	X
ejpam-3538	245	16	1	1	NUM
ejpam-3538	245	17	,	,	PUNCT
ejpam-3538	245	18	0	0	NUM
ejpam-3538	245	19	,	,	PUNCT
ejpam-3538	245	20	0	0	NUM
ejpam-3538	245	21	,	,	PUNCT
ejpam-3538	245	22	1	1	NUM
ejpam-3538	245	23	,	,	PUNCT
ejpam-3538	245	24	0]t	0]t	NOUN
ejpam-3538	245	25	,	,	PUNCT
ejpam-3538	245	26	if	if	SCONJ
ejpam-3538	245	27	x	x	ADP
ejpam-3538	245	28	≤	≤	X
ejpam-3538	245	29	0	0	NUM
ejpam-3538	246	1	[	[	X
ejpam-3538	246	2	2	2	NUM
ejpam-3538	246	3	,	,	PUNCT
ejpam-3538	246	4	0	0	NUM
ejpam-3538	246	5	,	,	PUNCT
ejpam-3538	246	6	0	0	NUM
ejpam-3538	246	7	,	,	PUNCT
ejpam-3538	246	8	0.5	0.5	NUM
ejpam-3538	246	9	,	,	PUNCT
ejpam-3538	246	10	1]t	1]t	NUM
ejpam-3538	246	11	,	,	PUNCT
ejpam-3538	246	12	if	if	SCONJ
ejpam-3538	246	13	x	x	PROPN
ejpam-3538	246	14	>	>	X
ejpam-3538	246	15	0	0	PUNCT
ejpam-3538	246	16	(	(	PUNCT
ejpam-3538	246	17	28	28	NUM
ejpam-3538	246	18	)	)	PUNCT
ejpam-3538	246	19	the	the	DET
ejpam-3538	246	20	problem	problem	NOUN
ejpam-3538	246	21	is	be	AUX
ejpam-3538	246	22	solved	solve	VERB
ejpam-3538	246	23	with	with	ADP
ejpam-3538	246	24	periodic	periodic	ADJ
ejpam-3538	246	25	boundary	boundary	ADJ
ejpam-3538	246	26	conditions	condition	NOUN
ejpam-3538	246	27	and	and	CCONJ
ejpam-3538	246	28	domain	domain	NOUN
ejpam-3538	246	29	ω	ω	NOUN
ejpam-3538	246	30	=	=	PUNCT
ejpam-3538	247	1	[	[	X
ejpam-3538	247	2	−1	−1	NOUN
ejpam-3538	247	3	,	,	PUNCT
ejpam-3538	247	4	1	1	NUM
ejpam-3538	247	5	]	]	PUNCT
ejpam-3538	247	6	at	at	ADP
ejpam-3538	247	7	t	t	PROPN
ejpam-3538	247	8	=	=	SYM
ejpam-3538	247	9	0.4	0.4	NUM
ejpam-3538	247	10	.	.	PUNCT
ejpam-3538	248	1	the	the	DET
ejpam-3538	248	2	results	result	NOUN
ejpam-3538	248	3	are	be	AUX
ejpam-3538	248	4	shown	show	VERB
ejpam-3538	248	5	in	in	ADP
ejpam-3538	248	6	figures	figure	NOUN
ejpam-3538	248	7	38	38	NUM
ejpam-3538	248	8	.	.	PUNCT
ejpam-3538	249	1	the	the	DET
ejpam-3538	249	2	l2	l2	NOUN
ejpam-3538	249	3	errors	error	NOUN
ejpam-3538	249	4	and	and	CCONJ
ejpam-3538	249	5	experimental	experimental	ADJ
ejpam-3538	249	6	order	order	NOUN
ejpam-3538	249	7	of	of	ADP
ejpam-3538	249	8	convergence	convergence	NOUN
ejpam-3538	249	9	for	for	ADP
ejpam-3538	249	10	4th	4th	ADJ
ejpam-3538	249	11	-	-	PUNCT
ejpam-3538	249	12	order	order	NOUN
ejpam-3538	249	13	cese	cese	ADJ
ejpam-3538	249	14	scheme	scheme	NOUN
ejpam-3538	249	15	have	have	AUX
ejpam-3538	249	16	been	be	AUX
ejpam-3538	249	17	listed	list	VERB
ejpam-3538	249	18	in	in	ADP
ejpam-3538	249	19	table	table	NOUN
ejpam-3538	249	20	have	have	AUX
ejpam-3538	249	21	been	be	AUX
ejpam-3538	249	22	listed	list	VERB
ejpam-3538	249	23	in	in	ADP
ejpam-3538	249	24	table	table	NOUN
ejpam-3538	249	25	1	1	NUM
ejpam-3538	249	26	.	.	PUNCT
ejpam-3538	250	1	as	as	SCONJ
ejpam-3538	250	2	expected	expect	VERB
ejpam-3538	250	3	,	,	PUNCT
ejpam-3538	250	4	it	it	PRON
ejpam-3538	250	5	is	be	AUX
ejpam-3538	250	6	clear	clear	ADV
ejpam-3538	250	7	seen	see	VERB
ejpam-3538	250	8	that	that	SCONJ
ejpam-3538	250	9	the	the	DET
ejpam-3538	250	10	4th	4th	ADJ
ejpam-3538	250	11	-	-	PUNCT
ejpam-3538	250	12	order	order	NOUN
ejpam-3538	250	13	cese	cese	NOUN
ejpam-3538	250	14	scheme	scheme	NOUN
ejpam-3538	250	15	with	with	ADP
ejpam-3538	250	16	500	500	NUM
ejpam-3538	250	17	grid	grid	NOUN
ejpam-3538	250	18	points	point	NOUN
ejpam-3538	250	19	shows	show	VERB
ejpam-3538	250	20	remarkable	remarkable	ADJ
ejpam-3538	250	21	details	detail	NOUN
ejpam-3538	250	22	in	in	ADP
ejpam-3538	250	23	the	the	DET
ejpam-3538	250	24	solution	solution	NOUN
ejpam-3538	250	25	compared	compare	VERB
ejpam-3538	250	26	to	to	ADP
ejpam-3538	250	27	the	the	DET
ejpam-3538	250	28	2nd	2nd	ADJ
ejpam-3538	250	29	-	-	PUNCT
ejpam-3538	250	30	order	order	NOUN
ejpam-3538	250	31	cese	cese	NOUN
ejpam-3538	250	32	scheme	scheme	NOUN
ejpam-3538	250	33	at	at	ADP
ejpam-3538	250	34	grid	grid	NOUN
ejpam-3538	250	35	of	of	ADP
ejpam-3538	250	36	1000	1000	NUM
ejpam-3538	250	37	nodes	node	NOUN
ejpam-3538	250	38	.	.	PUNCT
ejpam-3538	251	1	the	the	DET
ejpam-3538	251	2	zoomed	zoomed	PROPN
ejpam-3538	251	3	plot	plot	NOUN
ejpam-3538	251	4	reveals	reveal	VERB
ejpam-3538	251	5	better	well	ADJ
ejpam-3538	251	6	performance	performance	NOUN
ejpam-3538	251	7	of	of	ADP
ejpam-3538	251	8	4th	4th	ADJ
ejpam-3538	251	9	order	order	NOUN
ejpam-3538	251	10	cese	cese	NOUN
ejpam-3538	251	11	scheme	scheme	NOUN
ejpam-3538	251	12	near	near	ADP
ejpam-3538	251	13	discontinuities	discontinuity	NOUN
ejpam-3538	251	14	as	as	ADP
ejpam-3538	251	15	compared	compare	VERB
ejpam-3538	251	16	to	to	ADP
ejpam-3538	251	17	the	the	DET
ejpam-3538	251	18	second	second	ADJ
ejpam-3538	251	19	order	order	NOUN
ejpam-3538	251	20	cese	cese	NOUN
ejpam-3538	251	21	scheme	scheme	NOUN
ejpam-3538	251	22	.	.	PUNCT
ejpam-3538	252	1	the	the	DET
ejpam-3538	252	2	execution	execution	NOUN
ejpam-3538	252	3	time	time	NOUN
ejpam-3538	252	4	for	for	ADP
ejpam-3538	252	5	both	both	DET
ejpam-3538	252	6	schemes	scheme	NOUN
ejpam-3538	252	7	is	be	AUX
ejpam-3538	252	8	observed	observe	VERB
ejpam-3538	252	9	on	on	ADP
ejpam-3538	252	10	intel	intel	PROPN
ejpam-3538	252	11	core	core	NOUN
ejpam-3538	252	12	i7	i7	PROPN
ejpam-3538	252	13	8th	8th	ADJ
ejpam-3538	252	14	generation	generation	NOUN
ejpam-3538	252	15	machine	machine	NOUN
ejpam-3538	252	16	.	.	PUNCT
ejpam-3538	253	1	it	it	PRON
ejpam-3538	253	2	comes	come	VERB
ejpam-3538	253	3	out	out	ADP
ejpam-3538	253	4	that	that	SCONJ
ejpam-3538	253	5	a.	a.	NOUN
ejpam-3538	253	6	sidrah	sidrah	PROPN
ejpam-3538	253	7	,	,	PUNCT
ejpam-3538	253	8	z.	z.	PROPN
ejpam-3538	253	9	saqib	saqib	PROPN
ejpam-3538	253	10	/	/	SYM
ejpam-3538	253	11	eur	eur	PROPN
ejpam-3538	253	12	.	.	PUNCT
ejpam-3538	254	1	j.	j.	PROPN
ejpam-3538	254	2	pure	pure	PROPN
ejpam-3538	254	3	appl	appl	PROPN
ejpam-3538	254	4	.	.	PROPN
ejpam-3538	254	5	math	math	PROPN
ejpam-3538	254	6	,	,	PUNCT
ejpam-3538	254	7	12	12	NUM
ejpam-3538	254	8	(	(	PUNCT
ejpam-3538	254	9	4	4	NUM
ejpam-3538	254	10	)	)	PUNCT
ejpam-3538	254	11	(	(	PUNCT
ejpam-3538	254	12	2019	2019	NUM
ejpam-3538	254	13	)	)	PUNCT
ejpam-3538	254	14	,	,	PUNCT
ejpam-3538	254	15	1464	1464	NUM
ejpam-3538	254	16	-	-	SYM
ejpam-3538	254	17	1482	1482	NUM
ejpam-3538	254	18	1476	1476	NUM
ejpam-3538	254	19	the	the	DET
ejpam-3538	254	20	second	second	ADJ
ejpam-3538	254	21	order	order	NOUN
ejpam-3538	254	22	cese	cese	NOUN
ejpam-3538	254	23	scheme	scheme	NOUN
ejpam-3538	254	24	takes	take	VERB
ejpam-3538	254	25	8	8	NUM
ejpam-3538	254	26	seconds	second	NOUN
ejpam-3538	254	27	and	and	CCONJ
ejpam-3538	254	28	the	the	DET
ejpam-3538	254	29	4th	4th	ADJ
ejpam-3538	254	30	order	order	NOUN
ejpam-3538	254	31	cese	cese	NOUN
ejpam-3538	254	32	scheme	scheme	NOUN
ejpam-3538	254	33	takes	take	VERB
ejpam-3538	254	34	12	12	NUM
ejpam-3538	254	35	seconds	second	NOUN
ejpam-3538	254	36	to	to	PART
ejpam-3538	254	37	produce	produce	VERB
ejpam-3538	254	38	these	these	DET
ejpam-3538	254	39	results	result	NOUN
ejpam-3538	254	40	.	.	PUNCT
ejpam-3538	255	1	hence	hence	ADV
ejpam-3538	255	2	the	the	DET
ejpam-3538	255	3	4th	4th	ADJ
ejpam-3538	255	4	order	order	NOUN
ejpam-3538	255	5	cese	cese	NOUN
ejpam-3538	255	6	scheme	scheme	NOUN
ejpam-3538	255	7	is	be	AUX
ejpam-3538	255	8	computationally	computationally	ADV
ejpam-3538	255	9	more	more	ADV
ejpam-3538	255	10	efficient	efficient	ADJ
ejpam-3538	255	11	with	with	ADP
ejpam-3538	255	12	higher	high	ADJ
ejpam-3538	255	13	order	order	NOUN
ejpam-3538	255	14	accuracy	accuracy	NOUN
ejpam-3538	255	15	.	.	PUNCT
ejpam-3538	256	1	table	table	NOUN
ejpam-3538	256	2	1	1	NUM
ejpam-3538	256	3	:	:	PUNCT
ejpam-3538	256	4	error	error	NOUN
ejpam-3538	256	5	analysis	analysis	NOUN
ejpam-3538	256	6	of	of	ADP
ejpam-3538	256	7	4th	4th	ADJ
ejpam-3538	256	8	-	-	PUNCT
ejpam-3538	256	9	order	order	NOUN
ejpam-3538	256	10	cese	cese	ADJ
ejpam-3538	256	11	scheme	scheme	NOUN
ejpam-3538	256	12	number	number	NOUN
ejpam-3538	256	13	of	of	ADP
ejpam-3538	256	14	grid	grid	NOUN
ejpam-3538	256	15	points	point	NOUN
ejpam-3538	256	16	l2	l2	NOUN
ejpam-3538	256	17	-	-	PUNCT
ejpam-3538	256	18	error	error	NOUN
ejpam-3538	256	19	experimental	experimental	ADJ
ejpam-3538	256	20	order	order	NOUN
ejpam-3538	256	21	of	of	ADP
ejpam-3538	256	22	convergence	convergence	NOUN
ejpam-3538	256	23	50	50	NUM
ejpam-3538	256	24	0.00435	0.00435	NUM
ejpam-3538	256	25	100	100	NUM
ejpam-3538	256	26	0.000220	0.000220	NUM
ejpam-3538	256	27	4.3	4.3	NUM
ejpam-3538	256	28	200	200	NUM
ejpam-3538	256	29	0.000011932	0.000011932	NUM
ejpam-3538	256	30	4.23	4.23	NUM
ejpam-3538	256	31	400	400	NUM
ejpam-3538	256	32	0.000001015	0.000001015	NUM
ejpam-3538	256	33	4.19	4.19	NUM
ejpam-3538	257	1	hence	hence	ADV
ejpam-3538	257	2	it	it	PRON
ejpam-3538	257	3	concludes	conclude	VERB
ejpam-3538	257	4	that	that	SCONJ
ejpam-3538	257	5	the	the	DET
ejpam-3538	257	6	4th	4th	ADJ
ejpam-3538	257	7	-	-	PUNCT
ejpam-3538	257	8	order	order	NOUN
ejpam-3538	257	9	cese	cese	ADJ
ejpam-3538	257	10	scheme	scheme	NOUN
ejpam-3538	257	11	advantages	advantage	NOUN
ejpam-3538	257	12	over	over	ADP
ejpam-3538	257	13	the	the	DET
ejpam-3538	257	14	2nd	2nd	ADJ
ejpam-3538	257	15	-	-	PUNCT
ejpam-3538	257	16	order	order	NOUN
ejpam-3538	257	17	cese	cese	NOUN
ejpam-3538	257	18	scheme	scheme	NOUN
ejpam-3538	257	19	by	by	ADP
ejpam-3538	257	20	showing	show	VERB
ejpam-3538	257	21	much	much	ADV
ejpam-3538	257	22	better	well	ADJ
ejpam-3538	257	23	results	result	NOUN
ejpam-3538	257	24	.	.	PUNCT
ejpam-3538	258	1	it	it	PRON
ejpam-3538	258	2	follows	follow	VERB
ejpam-3538	258	3	that	that	SCONJ
ejpam-3538	258	4	the	the	DET
ejpam-3538	258	5	4th	4th	ADJ
ejpam-3538	258	6	-	-	PUNCT
ejpam-3538	258	7	order	order	NOUN
ejpam-3538	258	8	scheme	scheme	NOUN
ejpam-3538	258	9	is	be	AUX
ejpam-3538	258	10	computationally	computationally	ADV
ejpam-3538	258	11	more	more	ADV
ejpam-3538	258	12	efficient	efficient	ADJ
ejpam-3538	258	13	and	and	CCONJ
ejpam-3538	258	14	accurate	accurate	ADJ
ejpam-3538	258	15	.	.	PUNCT
ejpam-3538	259	1	4	4	X
ejpam-3538	259	2	.	.	X
ejpam-3538	259	3	two	two	NUM
ejpam-3538	259	4	dimensional	dimensional	ADJ
ejpam-3538	259	5	riemann	riemann	PROPN
ejpam-3538	259	6	problem	problem	NOUN
ejpam-3538	259	7	simulation	simulation	NOUN
ejpam-3538	259	8	the	the	DET
ejpam-3538	259	9	numerical	numerical	ADJ
ejpam-3538	259	10	test	test	NOUN
ejpam-3538	259	11	has	have	AUX
ejpam-3538	259	12	been	be	AUX
ejpam-3538	259	13	performed	perform	VERB
ejpam-3538	259	14	to	to	PART
ejpam-3538	259	15	demonstrate	demonstrate	VERB
ejpam-3538	259	16	the	the	DET
ejpam-3538	259	17	robustness	robustness	NOUN
ejpam-3538	259	18	and	and	CCONJ
ejpam-3538	259	19	the	the	DET
ejpam-3538	259	20	accuracy	accuracy	NOUN
ejpam-3538	259	21	of	of	ADP
ejpam-3538	259	22	4th	4th	ADJ
ejpam-3538	259	23	-	-	PUNCT
ejpam-3538	259	24	order	order	NOUN
ejpam-3538	259	25	cese	cese	NOUN
ejpam-3538	259	26	scheme	scheme	NOUN
ejpam-3538	259	27	over	over	ADP
ejpam-3538	259	28	2nd	2nd	ADJ
ejpam-3538	259	29	-	-	PUNCT
ejpam-3538	259	30	order	order	NOUN
ejpam-3538	259	31	cese	cese	ADJ
ejpam-3538	259	32	schem	schem	NOUN
ejpam-3538	259	33	.	.	PUNCT
ejpam-3538	260	1	problem	problem	NOUN
ejpam-3538	260	2	1	1	NUM
ejpam-3538	260	3	:	:	PUNCT
ejpam-3538	260	4	multidimensional	multidimensional	ADJ
ejpam-3538	260	5	steady	steady	ADJ
ejpam-3538	260	6	-	-	PUNCT
ejpam-3538	260	7	state	state	NOUN
ejpam-3538	260	8	shock	shock	NOUN
ejpam-3538	260	9	this	this	DET
ejpam-3538	260	10	problem	problem	NOUN
ejpam-3538	260	11	is	be	AUX
ejpam-3538	260	12	taken	take	VERB
ejpam-3538	260	13	from	from	ADP
ejpam-3538	260	14	[	[	X
ejpam-3538	260	15	22	22	NUM
ejpam-3538	260	16	]	]	PUNCT
ejpam-3538	260	17	in	in	ADP
ejpam-3538	260	18	which	which	PRON
ejpam-3538	260	19	authors	author	NOUN
ejpam-3538	260	20	have	have	AUX
ejpam-3538	260	21	applied	apply	VERB
ejpam-3538	260	22	the	the	DET
ejpam-3538	260	23	2nd	2nd	ADJ
ejpam-3538	260	24	-	-	PUNCT
ejpam-3538	260	25	order	order	NOUN
ejpam-3538	260	26	cese	cese	NOUN
ejpam-3538	260	27	method	method	NOUN
ejpam-3538	260	28	to	to	ADP
ejpam-3538	260	29	this	this	DET
ejpam-3538	260	30	problem	problem	NOUN
ejpam-3538	260	31	.	.	PUNCT
ejpam-3538	261	1	the	the	DET
ejpam-3538	261	2	computational	computational	ADJ
ejpam-3538	261	3	domain	domain	NOUN
ejpam-3538	261	4	(	(	PUNCT
ejpam-3538	261	5	x	x	NOUN
ejpam-3538	261	6	,	,	PUNCT
ejpam-3538	261	7	y	y	NOUN
ejpam-3538	261	8	)	)	PUNCT
ejpam-3538	261	9	∈	∈	PROPN
ejpam-3538	262	1	[	[	X
ejpam-3538	262	2	−1	−1	NOUN
ejpam-3538	262	3	,	,	PUNCT
ejpam-3538	262	4	1	1	NUM
ejpam-3538	262	5	]	]	SYM
ejpam-3538	262	6	×	×	NOUN
ejpam-3538	263	1	[	[	X
ejpam-3538	263	2	−1	−1	NOUN
ejpam-3538	263	3	,	,	PUNCT
ejpam-3538	263	4	1	1	NUM
ejpam-3538	263	5	]	]	PUNCT
ejpam-3538	263	6	is	be	AUX
ejpam-3538	263	7	divided	divide	VERB
ejpam-3538	263	8	into	into	ADP
ejpam-3538	263	9	200	200	NUM
ejpam-3538	263	10	×	×	NOUN
ejpam-3538	263	11	200	200	NUM
ejpam-3538	263	12	grid	grid	NOUN
ejpam-3538	263	13	with	with	ADP
ejpam-3538	263	14	g	g	PROPN
ejpam-3538	263	15	=	=	SYM
ejpam-3538	263	16	1	1	NUM
ejpam-3538	263	17	and	and	CCONJ
ejpam-3538	263	18	the	the	DET
ejpam-3538	263	19	initial	initial	ADJ
ejpam-3538	263	20	data	datum	NOUN
ejpam-3538	263	21	is	be	AUX
ejpam-3538	263	22	given	give	VERB
ejpam-3538	263	23	as:	as:	PROPN
ejpam-3538	263	24	h	h	NOUN
ejpam-3538	263	25	u1	u1	PROPN
ejpam-3538	263	26	u2	u2	PROPN
ejpam-3538	263	27	b1	b1	PROPN
ejpam-3538	263	28	b2	b2	NOUN
ejpam-3538	263	29			NOUN
ejpam-3538	264	1	=	=	PUNCT
ejpam-3538	264	2	{	{	PUNCT
ejpam-3538	265	1	[	[	X
ejpam-3538	265	2	1	1	NUM
ejpam-3538	265	3	,	,	PUNCT
ejpam-3538	265	4	4.5	4.5	NUM
ejpam-3538	265	5	,	,	PUNCT
ejpam-3538	265	6	0	0	NUM
ejpam-3538	265	7	,	,	PUNCT
ejpam-3538	265	8	2	2	NUM
ejpam-3538	265	9	,	,	PUNCT
ejpam-3538	265	10	0]t	0]t	NOUN
ejpam-3538	265	11	,	,	PUNCT
ejpam-3538	265	12	if	if	SCONJ
ejpam-3538	265	13	y	y	PROPN
ejpam-3538	265	14	≤	≤	X
ejpam-3538	265	15	0	0	PUNCT
ejpam-3538	266	1	[	[	X
ejpam-3538	266	2	2	2	NUM
ejpam-3538	266	3	,	,	PUNCT
ejpam-3538	266	4	5.5	5.5	NUM
ejpam-3538	266	5	,	,	PUNCT
ejpam-3538	266	6	0	0	NUM
ejpam-3538	266	7	,	,	PUNCT
ejpam-3538	266	8	0.5	0.5	NUM
ejpam-3538	266	9	,	,	PUNCT
ejpam-3538	266	10	0]t	0]t	NUM
ejpam-3538	266	11	,	,	PUNCT
ejpam-3538	266	12	if	if	SCONJ
ejpam-3538	266	13	y	y	PROPN
ejpam-3538	266	14	>	>	X
ejpam-3538	266	15	0	0	PUNCT
ejpam-3538	267	1	(	(	PUNCT
ejpam-3538	267	2	29	29	NUM
ejpam-3538	267	3	)	)	PUNCT
ejpam-3538	267	4	the	the	DET
ejpam-3538	267	5	problem	problem	NOUN
ejpam-3538	267	6	is	be	AUX
ejpam-3538	267	7	solved	solve	VERB
ejpam-3538	267	8	with	with	ADP
ejpam-3538	267	9	outflow	outflow	ADJ
ejpam-3538	267	10	boundary	boundary	ADJ
ejpam-3538	267	11	conditions	condition	NOUN
ejpam-3538	267	12	at	at	ADP
ejpam-3538	267	13	the	the	DET
ejpam-3538	267	14	top	top	ADJ
ejpam-3538	267	15	,	,	PUNCT
ejpam-3538	267	16	bottom	bottom	ADJ
ejpam-3538	267	17	and	and	CCONJ
ejpam-3538	267	18	right	right	ADJ
ejpam-3538	267	19	boundaries	boundary	NOUN
ejpam-3538	267	20	whereas	whereas	SCONJ
ejpam-3538	267	21	inflow	inflow	NOUN
ejpam-3538	267	22	boundary	boundary	ADJ
ejpam-3538	267	23	condition	condition	NOUN
ejpam-3538	267	24	at	at	ADP
ejpam-3538	267	25	the	the	DET
ejpam-3538	267	26	left	left	ADJ
ejpam-3538	267	27	boundary	boundary	NOUN
ejpam-3538	267	28	specified	specify	VERB
ejpam-3538	267	29	with	with	ADP
ejpam-3538	267	30	above	above	ADV
ejpam-3538	267	31	mentioned	mention	VERB
ejpam-3538	267	32	initial	initial	ADJ
ejpam-3538	267	33	data	datum	NOUN
ejpam-3538	267	34	.	.	PUNCT
ejpam-3538	268	1	the	the	DET
ejpam-3538	268	2	results	result	NOUN
ejpam-3538	268	3	at	at	ADP
ejpam-3538	268	4	time	time	NOUN
ejpam-3538	268	5	t	t	NOUN
ejpam-3538	268	6	=	=	PUNCT
ejpam-3538	268	7	0.25	0.25	NUM
ejpam-3538	268	8	are	be	AUX
ejpam-3538	268	9	shown	show	VERB
ejpam-3538	268	10	in	in	ADP
ejpam-3538	268	11	figures	figure	NOUN
ejpam-3538	268	12	9	9	NUM
ejpam-3538	268	13	11	11	NUM
ejpam-3538	268	14	.	.	PUNCT
ejpam-3538	269	1	as	as	SCONJ
ejpam-3538	269	2	expected	expect	VERB
ejpam-3538	269	3	,	,	PUNCT
ejpam-3538	269	4	it	it	PRON
ejpam-3538	269	5	is	be	AUX
ejpam-3538	269	6	clear	clear	ADV
ejpam-3538	269	7	seen	see	VERB
ejpam-3538	269	8	that	that	SCONJ
ejpam-3538	269	9	the	the	DET
ejpam-3538	269	10	fourth	fourth	ADJ
ejpam-3538	269	11	-	-	PUNCT
ejpam-3538	269	12	order	order	NOUN
ejpam-3538	269	13	scheme	scheme	NOUN
ejpam-3538	269	14	shows	show	VERB
ejpam-3538	269	15	remarkable	remarkable	ADJ
ejpam-3538	269	16	details	detail	NOUN
ejpam-3538	269	17	in	in	ADP
ejpam-3538	269	18	the	the	DET
ejpam-3538	269	19	solution	solution	NOUN
ejpam-3538	269	20	compared	compare	VERB
ejpam-3538	269	21	to	to	ADP
ejpam-3538	269	22	the	the	DET
ejpam-3538	269	23	second	second	ADJ
ejpam-3538	269	24	-order	-order	NOUN
ejpam-3538	269	25	scheme	scheme	NOUN
ejpam-3538	269	26	at	at	ADP
ejpam-3538	269	27	same	same	ADJ
ejpam-3538	269	28	grid	grid	NOUN
ejpam-3538	269	29	.	.	PUNCT
ejpam-3538	270	1	the	the	DET
ejpam-3538	270	2	results	result	NOUN
ejpam-3538	270	3	from	from	ADP
ejpam-3538	270	4	higher	high	ADJ
ejpam-3538	270	5	order	order	NOUN
ejpam-3538	270	6	scheme	scheme	NOUN
ejpam-3538	270	7	are	be	AUX
ejpam-3538	270	8	much	much	ADV
ejpam-3538	270	9	more	more	ADV
ejpam-3538	270	10	dense	dense	ADJ
ejpam-3538	270	11	as	as	SCONJ
ejpam-3538	270	12	compared	compare	VERB
ejpam-3538	270	13	to	to	ADP
ejpam-3538	270	14	the	the	DET
ejpam-3538	270	15	2nd	2nd	ADJ
ejpam-3538	270	16	-	-	PUNCT
ejpam-3538	270	17	order	order	NOUN
ejpam-3538	270	18	scheme	scheme	NOUN
ejpam-3538	270	19	.	.	PUNCT
ejpam-3538	271	1	5	5	X
ejpam-3538	271	2	.	.	X
ejpam-3538	271	3	conclusions	conclusion	NOUN
ejpam-3538	271	4	the	the	DET
ejpam-3538	271	5	fourth	fourth	ADJ
ejpam-3538	271	6	-	-	PUNCT
ejpam-3538	271	7	order	order	NOUN
ejpam-3538	271	8	cese	cese	NOUN
ejpam-3538	271	9	method	method	NOUN
ejpam-3538	271	10	is	be	AUX
ejpam-3538	271	11	presented	present	VERB
ejpam-3538	271	12	in	in	ADP
ejpam-3538	271	13	detail	detail	NOUN
ejpam-3538	271	14	for	for	ADP
ejpam-3538	271	15	swmhd	swmhd	ADJ
ejpam-3538	271	16	equations	equation	NOUN
ejpam-3538	271	17	and	and	CCONJ
ejpam-3538	271	18	tested	test	VERB
ejpam-3538	271	19	for	for	ADP
ejpam-3538	271	20	a	a	DET
ejpam-3538	271	21	problem	problem	NOUN
ejpam-3538	271	22	taken	take	VERB
ejpam-3538	271	23	from	from	ADP
ejpam-3538	271	24	literature	literature	NOUN
ejpam-3538	271	25	.	.	PUNCT
ejpam-3538	272	1	the	the	DET
ejpam-3538	272	2	benchmark	benchmark	NOUN
ejpam-3538	272	3	test	test	NOUN
ejpam-3538	272	4	revealed	reveal	VERB
ejpam-3538	272	5	excellent	excellent	ADJ
ejpam-3538	272	6	characteristics	characteristic	NOUN
ejpam-3538	272	7	a.	a.	NOUN
ejpam-3538	272	8	sidrah	sidrah	PROPN
ejpam-3538	272	9	,	,	PUNCT
ejpam-3538	272	10	z.	z.	PROPN
ejpam-3538	272	11	saqib	saqib	PROPN
ejpam-3538	272	12	/	/	SYM
ejpam-3538	272	13	eur	eur	PROPN
ejpam-3538	272	14	.	.	PUNCT
ejpam-3538	273	1	j.	j.	PROPN
ejpam-3538	273	2	pure	pure	PROPN
ejpam-3538	273	3	appl	appl	PROPN
ejpam-3538	273	4	.	.	PROPN
ejpam-3538	273	5	math	math	PROPN
ejpam-3538	273	6	,	,	PUNCT
ejpam-3538	273	7	12	12	NUM
ejpam-3538	273	8	(	(	PUNCT
ejpam-3538	273	9	4	4	NUM
ejpam-3538	273	10	)	)	PUNCT
ejpam-3538	273	11	(	(	PUNCT
ejpam-3538	273	12	2019	2019	NUM
ejpam-3538	273	13	)	)	PUNCT
ejpam-3538	273	14	,	,	PUNCT
ejpam-3538	273	15	1464	1464	NUM
ejpam-3538	273	16	-	-	SYM
ejpam-3538	273	17	1482	1482	NUM
ejpam-3538	273	18	1477	1477	NUM
ejpam-3538	274	1	[	[	X
ejpam-3538	274	2	h	h	X
ejpam-3538	274	3	]	]	X
ejpam-3538	274	4	time	time	NOUN
ejpam-3538	274	5	0.25	0.25	NUM
ejpam-3538	274	6	0.26	0.26	NUM
ejpam-3538	274	7	0.27	0.27	NUM
ejpam-3538	274	8	0.28	0.28	NUM
ejpam-3538	274	9	0.29	0.29	NUM
ejpam-3538	274	10	0.3	0.3	NUM
ejpam-3538	274	11	0.31	0.31	NUM
ejpam-3538	274	12	0.32	0.32	NUM
ejpam-3538	274	13	h	h	NOUN
ejpam-3538	275	1	e	e	NOUN
ejpam-3538	275	2	ig	ig	PROPN
ejpam-3538	275	3	h	h	NOUN
ejpam-3538	275	4	t	t	PROPN
ejpam-3538	275	5	0.95	0.95	NUM
ejpam-3538	275	6	1	1	NUM
ejpam-3538	275	7	1.05	1.05	NUM
ejpam-3538	275	8	1.1	1.1	NUM
ejpam-3538	275	9	4th	4th	ADJ
ejpam-3538	275	10	order	order	NOUN
ejpam-3538	275	11	cese	cese	NOUN
ejpam-3538	275	12	method	method	NOUN
ejpam-3538	275	13	2nd	2nd	ADJ
ejpam-3538	275	14	order	order	NOUN
ejpam-3538	275	15	cese	cese	NOUN
ejpam-3538	275	16	method	method	NOUN
ejpam-3538	275	17	figure	figure	NOUN
ejpam-3538	275	18	4	4	NUM
ejpam-3538	275	19	:	:	PUNCT
ejpam-3538	275	20	zoomed	zoom	VERB
ejpam-3538	275	21	plot	plot	NOUN
ejpam-3538	275	22	for	for	ADP
ejpam-3538	275	23	height	height	NOUN
ejpam-3538	275	24	at	at	ADP
ejpam-3538	275	25	t	t	PROPN
ejpam-3538	275	26	=	=	NUM
ejpam-3538	275	27	0.4	0.4	NUM
ejpam-3538	275	28	of	of	ADP
ejpam-3538	275	29	the	the	DET
ejpam-3538	275	30	method	method	NOUN
ejpam-3538	275	31	.	.	PUNCT
ejpam-3538	276	1	the	the	DET
ejpam-3538	276	2	scheme	scheme	NOUN
ejpam-3538	276	3	is	be	AUX
ejpam-3538	276	4	based	base	VERB
ejpam-3538	276	5	on	on	ADP
ejpam-3538	276	6	unified	unified	ADJ
ejpam-3538	276	7	treatment	treatment	NOUN
ejpam-3538	276	8	of	of	ADP
ejpam-3538	276	9	space	space	NOUN
ejpam-3538	276	10	and	and	CCONJ
ejpam-3538	276	11	time	time	NOUN
ejpam-3538	276	12	variables	variable	NOUN
ejpam-3538	276	13	that	that	PRON
ejpam-3538	276	14	allows	allow	VERB
ejpam-3538	276	15	a	a	DET
ejpam-3538	276	16	systematic	systematic	ADJ
ejpam-3538	276	17	and	and	CCONJ
ejpam-3538	276	18	easy	easy	ADJ
ejpam-3538	276	19	extension	extension	NOUN
ejpam-3538	276	20	to	to	ADP
ejpam-3538	276	21	higher	high	ADJ
ejpam-3538	276	22	dimensions	dimension	NOUN
ejpam-3538	276	23	as	as	ADV
ejpam-3538	276	24	well	well	ADV
ejpam-3538	276	25	as	as	ADP
ejpam-3538	276	26	to	to	ADP
ejpam-3538	276	27	arbitrary	arbitrary	ADJ
ejpam-3538	276	28	higher	high	ADJ
ejpam-3538	276	29	order	order	NOUN
ejpam-3538	276	30	scheme	scheme	NOUN
ejpam-3538	276	31	.	.	PUNCT
ejpam-3538	277	1	the	the	DET
ejpam-3538	277	2	scheme	scheme	NOUN
ejpam-3538	277	3	is	be	AUX
ejpam-3538	277	4	computationally	computationally	ADV
ejpam-3538	277	5	efficient	efficient	ADJ
ejpam-3538	277	6	and	and	CCONJ
ejpam-3538	277	7	accurate	accurate	ADJ
ejpam-3538	277	8	and	and	CCONJ
ejpam-3538	277	9	outperforms	outperform	VERB
ejpam-3538	277	10	the	the	DET
ejpam-3538	277	11	second	second	ADJ
ejpam-3538	277	12	-	-	PUNCT
ejpam-3538	277	13	order	order	NOUN
ejpam-3538	277	14	cese	cese	NOUN
ejpam-3538	277	15	method	method	NOUN
ejpam-3538	277	16	even	even	ADV
ejpam-3538	277	17	with	with	ADP
ejpam-3538	277	18	less	less	ADJ
ejpam-3538	277	19	grid	grid	NOUN
ejpam-3538	277	20	.	.	PUNCT
ejpam-3538	278	1	acknowledgements	acknowledgement	NOUN
ejpam-3538	278	2	this	this	DET
ejpam-3538	278	3	work	work	NOUN
ejpam-3538	278	4	has	have	AUX
ejpam-3538	278	5	been	be	AUX
ejpam-3538	278	6	carried	carry	VERB
ejpam-3538	278	7	out	out	ADP
ejpam-3538	278	8	as	as	ADP
ejpam-3538	278	9	a	a	DET
ejpam-3538	278	10	part	part	NOUN
ejpam-3538	278	11	of	of	ADP
ejpam-3538	278	12	project	project	NOUN
ejpam-3538	278	13	under	under	ADP
ejpam-3538	278	14	the	the	DET
ejpam-3538	278	15	grant	grant	NOUN
ejpam-3538	278	16	by	by	ADP
ejpam-3538	278	17	higher	high	ADJ
ejpam-3538	278	18	education	education	NOUN
ejpam-3538	278	19	commission	commission	PROPN
ejpam-3538	278	20	of	of	ADP
ejpam-3538	278	21	pakistan	pakistan	PROPN
ejpam-3538	278	22	vide	vide	PROPN
ejpam-3538	278	23	office	office	NOUN
ejpam-3538	278	24	letter	letter	NOUN
ejpam-3538	278	25	no	no	INTJ
ejpam-3538	278	26	.	.	PUNCT
ejpam-3538	278	27	6255	6255	NUM
ejpam-3538	278	28	/	/	SYM
ejpam-3538	278	29	sindh	sindh	NOUN
ejpam-3538	278	30	/	/	SYM
ejpam-3538	278	31	nrpu	nrpu	NOUN
ejpam-3538	278	32	/	/	SYM
ejpam-3538	278	33	r&d	r&d	NOUN
ejpam-3538	278	34	/	/	SYM
ejpam-3538	278	35	hec/2016	hec/2016	NOUN
ejpam-3538	278	36	.	.	PUNCT
ejpam-3538	279	1	i	i	PRON
ejpam-3538	279	2	also	also	ADV
ejpam-3538	279	3	acknowledge	acknowledge	VERB
ejpam-3538	279	4	sukkur	sukkur	PROPN
ejpam-3538	279	5	iba	iba	PROPN
ejpam-3538	279	6	university	university	PROPN
ejpam-3538	279	7	for	for	ADP
ejpam-3538	279	8	providing	provide	VERB
ejpam-3538	279	9	state	state	NOUN
ejpam-3538	279	10	of	of	ADP
ejpam-3538	279	11	the	the	DET
ejpam-3538	279	12	art	art	NOUN
ejpam-3538	279	13	research	research	NOUN
ejpam-3538	279	14	environment	environment	NOUN
ejpam-3538	279	15	.	.	PUNCT
ejpam-3538	280	1	i	i	PRON
ejpam-3538	280	2	would	would	AUX
ejpam-3538	280	3	like	like	VERB
ejpam-3538	280	4	to	to	PART
ejpam-3538	280	5	acknowledge	acknowledge	VERB
ejpam-3538	280	6	my	my	PRON
ejpam-3538	280	7	ms	ms	PROPN
ejpam-3538	280	8	student	student	PROPN
ejpam-3538	280	9	irfan	irfan	PROPN
ejpam-3538	280	10	hyder	hyder	PROPN
ejpam-3538	280	11	for	for	ADP
ejpam-3538	280	12	his	his	PRON
ejpam-3538	280	13	help	help	NOUN
ejpam-3538	280	14	in	in	ADP
ejpam-3538	280	15	editing	edit	VERB
ejpam-3538	280	16	some	some	DET
ejpam-3538	280	17	part	part	NOUN
ejpam-3538	280	18	of	of	ADP
ejpam-3538	280	19	this	this	DET
ejpam-3538	280	20	manuscript	manuscript	NOUN
ejpam-3538	280	21	.	.	PUNCT
ejpam-3538	281	1	x	x	X
ejpam-3538	281	2	-	-	NOUN
ejpam-3538	281	3	axis	axis	ADJ
ejpam-3538	281	4	0	0	NUM
ejpam-3538	281	5	0.2	0.2	NUM
ejpam-3538	281	6	0.4	0.4	NUM
ejpam-3538	281	7	0.6	0.6	NUM
ejpam-3538	281	8	0.8	0.8	NUM
ejpam-3538	281	9	1	1	NUM
ejpam-3538	281	10	1.2	1.2	NUM
ejpam-3538	281	11	1.4	1.4	NUM
ejpam-3538	281	12	1.6	1.6	NUM
ejpam-3538	281	13	1.8	1.8	NUM
ejpam-3538	281	14	2	2	NUM
ejpam-3538	281	15	h	h	NOUN
ejpam-3538	281	16	e	e	NOUN
ejpam-3538	281	17	ig	ig	INTJ
ejpam-3538	281	18	h	h	NOUN
ejpam-3538	281	19	t	t	PROPN
ejpam-3538	281	20	0.8	0.8	NUM
ejpam-3538	281	21	1	1	NUM
ejpam-3538	281	22	1.2	1.2	NUM
ejpam-3538	281	23	1.4	1.4	NUM
ejpam-3538	281	24	1.6	1.6	NUM
ejpam-3538	281	25	1.8	1.8	NUM
ejpam-3538	281	26	2	2	NUM
ejpam-3538	281	27	4th	4th	ADJ
ejpam-3538	281	28	order	order	NOUN
ejpam-3538	281	29	cese	cese	NOUN
ejpam-3538	281	30	2nd	2nd	ADJ
ejpam-3538	281	31	order	order	NOUN
ejpam-3538	281	32	cese	cese	ADJ
ejpam-3538	281	33	scheme	scheme	NOUN
ejpam-3538	281	34	figure	figure	NOUN
ejpam-3538	281	35	3	3	NUM
ejpam-3538	281	36	:	:	PUNCT
ejpam-3538	281	37	height	height	NOUN
ejpam-3538	281	38	at	at	ADP
ejpam-3538	281	39	t	t	PROPN
ejpam-3538	281	40	=	=	NUM
ejpam-3538	281	41	0.4	0.4	NUM
ejpam-3538	281	42	.	.	PUNCT
ejpam-3538	282	1	a.	a.	PROPN
ejpam-3538	282	2	sidrah	sidrah	PROPN
ejpam-3538	282	3	,	,	PUNCT
ejpam-3538	282	4	z.	z.	PROPN
ejpam-3538	282	5	saqib	saqib	PROPN
ejpam-3538	282	6	/	/	SYM
ejpam-3538	282	7	eur	eur	PROPN
ejpam-3538	282	8	.	.	PUNCT
ejpam-3538	283	1	j.	j.	PROPN
ejpam-3538	283	2	pure	pure	PROPN
ejpam-3538	283	3	appl	appl	PROPN
ejpam-3538	283	4	.	.	PROPN
ejpam-3538	283	5	math	math	PROPN
ejpam-3538	283	6	,	,	PUNCT
ejpam-3538	283	7	12	12	NUM
ejpam-3538	283	8	(	(	PUNCT
ejpam-3538	283	9	4	4	NUM
ejpam-3538	283	10	)	)	PUNCT
ejpam-3538	283	11	(	(	PUNCT
ejpam-3538	283	12	2019	2019	NUM
ejpam-3538	283	13	)	)	PUNCT
ejpam-3538	283	14	,	,	PUNCT
ejpam-3538	283	15	1464	1464	NUM
ejpam-3538	283	16	-	-	SYM
ejpam-3538	283	17	1482	1482	NUM
ejpam-3538	283	18	1478	1478	NUM
ejpam-3538	284	1	[	[	X
ejpam-3538	284	2	h	h	X
ejpam-3538	284	3	]	]	X
ejpam-3538	284	4	x	x	ADJ
ejpam-3538	284	5	-	-	NOUN
ejpam-3538	284	6	axis	axis	ADJ
ejpam-3538	284	7	0	0	NUM
ejpam-3538	284	8	0.2	0.2	NUM
ejpam-3538	284	9	0.4	0.4	NUM
ejpam-3538	284	10	0.6	0.6	NUM
ejpam-3538	284	11	0.8	0.8	NUM
ejpam-3538	284	12	1	1	NUM
ejpam-3538	284	13	1.2	1.2	NUM
ejpam-3538	284	14	1.4	1.4	NUM
ejpam-3538	284	15	1.6	1.6	NUM
ejpam-3538	284	16	1.8	1.8	NUM
ejpam-3538	284	17	2	2	NUM
ejpam-3538	284	18	v	v	ADP
ejpam-3538	284	19	1	1	NUM
ejpam-3538	284	20	-0.6	-0.6	NOUN
ejpam-3538	284	21	-0.5	-0.5	PROPN
ejpam-3538	284	22	-0.4	-0.4	PROPN
ejpam-3538	284	23	-0.3	-0.3	PROPN
ejpam-3538	284	24	-0.2	-0.2	PROPN
ejpam-3538	284	25	-0.1	-0.1	PROPN
ejpam-3538	284	26	0	0	NUM
ejpam-3538	284	27	0.1	0.1	NUM
ejpam-3538	284	28	4th	4th	ADJ
ejpam-3538	284	29	order	order	NOUN
ejpam-3538	284	30	cese	cese	ADJ
ejpam-3538	284	31	scheme	scheme	NOUN
ejpam-3538	284	32	2nd	2nd	ADJ
ejpam-3538	284	33	order	order	NOUN
ejpam-3538	284	34	cese	cese	ADJ
ejpam-3538	284	35	scheme	scheme	NOUN
ejpam-3538	284	36	figure	figure	NOUN
ejpam-3538	284	37	5	5	NUM
ejpam-3538	284	38	:	:	PUNCT
ejpam-3538	284	39	v1	v1	NOUN
ejpam-3538	284	40	at	at	ADP
ejpam-3538	284	41	time	time	NOUN
ejpam-3538	284	42	t	t	NOUN
ejpam-3538	284	43	=	=	NUM
ejpam-3538	284	44	0.4	0.4	NUM
ejpam-3538	284	45	.	.	PUNCT
ejpam-3538	285	1	[	[	X
ejpam-3538	285	2	h	h	X
ejpam-3538	285	3	]	]	X
ejpam-3538	285	4	x	x	ADJ
ejpam-3538	285	5	-	-	NOUN
ejpam-3538	285	6	axis	axis	ADJ
ejpam-3538	285	7	0	0	NUM
ejpam-3538	285	8	0.2	0.2	NUM
ejpam-3538	285	9	0.4	0.4	NUM
ejpam-3538	285	10	0.6	0.6	NUM
ejpam-3538	285	11	0.8	0.8	NUM
ejpam-3538	285	12	1	1	NUM
ejpam-3538	285	13	1.2	1.2	NUM
ejpam-3538	285	14	1.4	1.4	NUM
ejpam-3538	285	15	1.6	1.6	NUM
ejpam-3538	285	16	1.8	1.8	NUM
ejpam-3538	285	17	2	2	NUM
ejpam-3538	285	18	v	v	ADP
ejpam-3538	285	19	2	2	NUM
ejpam-3538	285	20	-0.2	-0.2	PROPN
ejpam-3538	285	21	-0.1	-0.1	PROPN
ejpam-3538	285	22	0	0	NUM
ejpam-3538	285	23	0.1	0.1	NUM
ejpam-3538	285	24	0.2	0.2	NUM
ejpam-3538	285	25	0.3	0.3	NUM
ejpam-3538	285	26	0.4	0.4	NUM
ejpam-3538	285	27	0.5	0.5	NUM
ejpam-3538	285	28	0.6	0.6	NUM
ejpam-3538	285	29	4th	4th	ADJ
ejpam-3538	285	30	-	-	PUNCT
ejpam-3538	285	31	order	order	NOUN
ejpam-3538	285	32	cese	cese	ADJ
ejpam-3538	285	33	scheme	scheme	NOUN
ejpam-3538	285	34	2nd	2nd	ADJ
ejpam-3538	285	35	-	-	PUNCT
ejpam-3538	285	36	order	order	NOUN
ejpam-3538	285	37	cese	cese	ADJ
ejpam-3538	285	38	scheme	scheme	NOUN
ejpam-3538	285	39	figure	figure	NOUN
ejpam-3538	285	40	6	6	NUM
ejpam-3538	285	41	:	:	PUNCT
ejpam-3538	285	42	v2	v2	NOUN
ejpam-3538	285	43	at	at	ADP
ejpam-3538	285	44	time	time	NOUN
ejpam-3538	285	45	t	t	NOUN
ejpam-3538	285	46	=	=	SYM
ejpam-3538	285	47	0.4	0.4	NUM
ejpam-3538	285	48	.	.	PUNCT
ejpam-3538	286	1	x	x	X
ejpam-3538	286	2	-	-	NOUN
ejpam-3538	286	3	axis	axis	ADJ
ejpam-3538	286	4	-1	-1	ADP
ejpam-3538	286	5	1	1	NUM
ejpam-3538	286	6	yax	yax	NOUN
ejpam-3538	286	7	is	be	AUX
ejpam-3538	286	8	-1	-1	PUNCT
ejpam-3538	286	9	1	1	NUM
ejpam-3538	286	10	1.1	1.1	NUM
ejpam-3538	286	11	1.2	1.2	NUM
ejpam-3538	286	12	1.3	1.3	NUM
ejpam-3538	286	13	1.4	1.4	NUM
ejpam-3538	286	14	1.5	1.5	NUM
ejpam-3538	286	15	1.6	1.6	NUM
ejpam-3538	286	16	1.7	1.7	NUM
ejpam-3538	286	17	1.8	1.8	NUM
ejpam-3538	286	18	1.9	1.9	NUM
ejpam-3538	286	19	(	(	PUNCT
ejpam-3538	286	20	a	a	NOUN
ejpam-3538	286	21	)	)	PUNCT
ejpam-3538	286	22	results	result	NOUN
ejpam-3538	286	23	of	of	ADP
ejpam-3538	286	24	4th	4th	ADJ
ejpam-3538	286	25	-	-	PUNCT
ejpam-3538	286	26	order	order	NOUN
ejpam-3538	286	27	cese	cese	NOUN
ejpam-3538	286	28	method	method	NOUN
ejpam-3538	286	29	x	x	NOUN
ejpam-3538	286	30	-	-	NOUN
ejpam-3538	286	31	axis	axis	ADJ
ejpam-3538	286	32	-1	-1	ADP
ejpam-3538	286	33	1	1	NUM
ejpam-3538	286	34	yax	yax	NOUN
ejpam-3538	286	35	is	be	AUX
ejpam-3538	286	36	-1	-1	PUNCT
ejpam-3538	286	37	1	1	NUM
ejpam-3538	286	38	1.1	1.1	NUM
ejpam-3538	286	39	1.2	1.2	NUM
ejpam-3538	286	40	1.3	1.3	NUM
ejpam-3538	286	41	1.4	1.4	NUM
ejpam-3538	286	42	1.5	1.5	NUM
ejpam-3538	286	43	1.6	1.6	NUM
ejpam-3538	286	44	1.7	1.7	NUM
ejpam-3538	286	45	1.8	1.8	NUM
ejpam-3538	286	46	1.9	1.9	NUM
ejpam-3538	286	47	(	(	PUNCT
ejpam-3538	286	48	b	b	NOUN
ejpam-3538	286	49	)	)	PUNCT
ejpam-3538	286	50	results	result	NOUN
ejpam-3538	286	51	of	of	ADP
ejpam-3538	286	52	2nd	2nd	ADJ
ejpam-3538	286	53	-	-	PUNCT
ejpam-3538	286	54	order	order	NOUN
ejpam-3538	286	55	cese	cese	NOUN
ejpam-3538	286	56	method	method	NOUN
ejpam-3538	286	57	figure	figure	NOUN
ejpam-3538	286	58	9	9	NUM
ejpam-3538	286	59	:	:	PUNCT
ejpam-3538	286	60	height	height	NOUN
ejpam-3538	286	61	h	h	NOUN
ejpam-3538	286	62	computed	compute	VERB
ejpam-3538	286	63	at	at	ADP
ejpam-3538	286	64	t	t	NOUN
ejpam-3538	286	65	=	=	NUM
ejpam-3538	286	66	0.25	0.25	NUM
ejpam-3538	286	67	a.	a.	NOUN
ejpam-3538	286	68	sidrah	sidrah	PROPN
ejpam-3538	286	69	,	,	PUNCT
ejpam-3538	286	70	z.	z.	PROPN
ejpam-3538	286	71	saqib	saqib	PROPN
ejpam-3538	286	72	/	/	SYM
ejpam-3538	286	73	eur	eur	PROPN
ejpam-3538	286	74	.	.	PUNCT
ejpam-3538	287	1	j.	j.	PROPN
ejpam-3538	287	2	pure	pure	PROPN
ejpam-3538	287	3	appl	appl	PROPN
ejpam-3538	287	4	.	.	PROPN
ejpam-3538	287	5	math	math	PROPN
ejpam-3538	287	6	,	,	PUNCT
ejpam-3538	287	7	12	12	NUM
ejpam-3538	287	8	(	(	PUNCT
ejpam-3538	287	9	4	4	NUM
ejpam-3538	287	10	)	)	PUNCT
ejpam-3538	287	11	(	(	PUNCT
ejpam-3538	287	12	2019	2019	NUM
ejpam-3538	287	13	)	)	PUNCT
ejpam-3538	287	14	,	,	PUNCT
ejpam-3538	287	15	1464	1464	NUM
ejpam-3538	287	16	-	-	SYM
ejpam-3538	287	17	1482	1482	NUM
ejpam-3538	287	18	1479	1479	NUM
ejpam-3538	288	1	[	[	X
ejpam-3538	288	2	h	h	X
ejpam-3538	288	3	]	]	X
ejpam-3538	288	4	x	x	ADJ
ejpam-3538	288	5	-	-	NOUN
ejpam-3538	288	6	axis	axis	ADJ
ejpam-3538	288	7	0	0	NUM
ejpam-3538	288	8	0.2	0.2	NUM
ejpam-3538	288	9	0.4	0.4	NUM
ejpam-3538	288	10	0.6	0.6	NUM
ejpam-3538	288	11	0.8	0.8	NUM
ejpam-3538	288	12	1	1	NUM
ejpam-3538	288	13	1.2	1.2	NUM
ejpam-3538	288	14	1.4	1.4	NUM
ejpam-3538	288	15	1.6	1.6	NUM
ejpam-3538	288	16	1.8	1.8	NUM
ejpam-3538	288	17	2	2	NUM
ejpam-3538	288	18	b	b	SYM
ejpam-3538	288	19	1	1	NUM
ejpam-3538	288	20	0.5	0.5	NUM
ejpam-3538	288	21	0.6	0.6	NUM
ejpam-3538	288	22	0.7	0.7	NUM
ejpam-3538	288	23	0.8	0.8	NUM
ejpam-3538	288	24	0.9	0.9	NUM
ejpam-3538	288	25	1	1	NUM
ejpam-3538	288	26	1.1	1.1	NUM
ejpam-3538	288	27	4th	4th	ADJ
ejpam-3538	288	28	-	-	PUNCT
ejpam-3538	288	29	order	order	NOUN
ejpam-3538	288	30	cese	cese	ADJ
ejpam-3538	288	31	scheme	scheme	NOUN
ejpam-3538	288	32	2nd	2nd	ADJ
ejpam-3538	288	33	-	-	PUNCT
ejpam-3538	288	34	order	order	NOUN
ejpam-3538	288	35	cese	cese	ADJ
ejpam-3538	288	36	scheme	scheme	NOUN
ejpam-3538	288	37	figure	figure	NOUN
ejpam-3538	288	38	7	7	NUM
ejpam-3538	288	39	:	:	PUNCT
ejpam-3538	288	40	b1	b1	NOUN
ejpam-3538	288	41	at	at	ADP
ejpam-3538	288	42	time	time	NOUN
ejpam-3538	288	43	t	t	PROPN
ejpam-3538	288	44	=	=	NUM
ejpam-3538	288	45	0.4	0.4	NUM
ejpam-3538	288	46	.	.	PUNCT
ejpam-3538	289	1	[	[	X
ejpam-3538	289	2	h	h	X
ejpam-3538	289	3	]	]	X
ejpam-3538	289	4	x	x	ADJ
ejpam-3538	289	5	-	-	NOUN
ejpam-3538	289	6	axis	axis	ADJ
ejpam-3538	289	7	0	0	NUM
ejpam-3538	289	8	0.2	0.2	NUM
ejpam-3538	289	9	0.4	0.4	NUM
ejpam-3538	289	10	0.6	0.6	NUM
ejpam-3538	289	11	0.8	0.8	NUM
ejpam-3538	289	12	1	1	NUM
ejpam-3538	289	13	1.2	1.2	NUM
ejpam-3538	289	14	1.4	1.4	NUM
ejpam-3538	289	15	1.6	1.6	NUM
ejpam-3538	289	16	1.8	1.8	NUM
ejpam-3538	289	17	2	2	NUM
ejpam-3538	289	18	b	b	SYM
ejpam-3538	289	19	2	2	NUM
ejpam-3538	289	20	0	0	NUM
ejpam-3538	289	21	0.2	0.2	NUM
ejpam-3538	289	22	0.4	0.4	NUM
ejpam-3538	289	23	0.6	0.6	NUM
ejpam-3538	289	24	0.8	0.8	NUM
ejpam-3538	289	25	1	1	NUM
ejpam-3538	289	26	1.2	1.2	NUM
ejpam-3538	289	27	4th	4th	ADJ
ejpam-3538	289	28	-	-	PUNCT
ejpam-3538	289	29	order	order	NOUN
ejpam-3538	289	30	cese	cese	ADJ
ejpam-3538	289	31	scheme	scheme	NOUN
ejpam-3538	289	32	2nd	2nd	ADJ
ejpam-3538	289	33	-	-	PUNCT
ejpam-3538	289	34	order	order	NOUN
ejpam-3538	289	35	cese	cese	ADJ
ejpam-3538	289	36	scheme	scheme	NOUN
ejpam-3538	289	37	figure	figure	NOUN
ejpam-3538	289	38	8	8	NUM
ejpam-3538	289	39	:	:	PUNCT
ejpam-3538	289	40	b2	b2	NOUN
ejpam-3538	289	41	at	at	ADP
ejpam-3538	289	42	time	time	NOUN
ejpam-3538	289	43	t	t	NOUN
ejpam-3538	289	44	=	=	SYM
ejpam-3538	289	45	0.4	0.4	NUM
ejpam-3538	289	46	.	.	PUNCT
ejpam-3538	290	1	x	x	X
ejpam-3538	290	2	-	-	NOUN
ejpam-3538	290	3	axis	axis	ADJ
ejpam-3538	290	4	-1	-1	ADP
ejpam-3538	290	5	1	1	NUM
ejpam-3538	290	6	yax	yax	NOUN
ejpam-3538	290	7	is	be	AUX
ejpam-3538	290	8	-1	-1	PUNCT
ejpam-3538	290	9	1	1	NUM
ejpam-3538	290	10	5	5	NUM
ejpam-3538	290	11	6	6	NUM
ejpam-3538	290	12	7	7	NUM
ejpam-3538	290	13	8	8	NUM
ejpam-3538	290	14	9	9	NUM
ejpam-3538	290	15	10	10	NUM
ejpam-3538	290	16	(	(	PUNCT
ejpam-3538	290	17	a	a	NOUN
ejpam-3538	290	18	)	)	PUNCT
ejpam-3538	290	19	results	result	NOUN
ejpam-3538	290	20	of	of	ADP
ejpam-3538	290	21	4th	4th	ADJ
ejpam-3538	290	22	-	-	PUNCT
ejpam-3538	290	23	order	order	NOUN
ejpam-3538	290	24	cese	cese	NOUN
ejpam-3538	290	25	method	method	NOUN
ejpam-3538	290	26	x	x	NOUN
ejpam-3538	290	27	-	-	NOUN
ejpam-3538	290	28	axis	axis	ADJ
ejpam-3538	290	29	-1	-1	ADP
ejpam-3538	290	30	1	1	NUM
ejpam-3538	290	31	yax	yax	NOUN
ejpam-3538	290	32	is	be	AUX
ejpam-3538	290	33	-1	-1	PUNCT
ejpam-3538	290	34	1	1	NUM
ejpam-3538	290	35	5	5	NUM
ejpam-3538	290	36	6	6	NUM
ejpam-3538	290	37	7	7	NUM
ejpam-3538	290	38	8	8	NUM
ejpam-3538	290	39	9	9	NUM
ejpam-3538	290	40	10	10	NUM
ejpam-3538	290	41	(	(	PUNCT
ejpam-3538	290	42	b	b	NOUN
ejpam-3538	290	43	)	)	PUNCT
ejpam-3538	290	44	results	result	NOUN
ejpam-3538	290	45	of	of	ADP
ejpam-3538	290	46	2nd	2nd	ADJ
ejpam-3538	290	47	-	-	PUNCT
ejpam-3538	290	48	order	order	NOUN
ejpam-3538	290	49	cese	cese	NOUN
ejpam-3538	290	50	method	method	NOUN
ejpam-3538	290	51	figure	figure	NOUN
ejpam-3538	290	52	10	10	NUM
ejpam-3538	290	53	:	:	PUNCT
ejpam-3538	290	54	ux	ux	PROPN
ejpam-3538	290	55	computed	compute	VERB
ejpam-3538	290	56	at	at	ADP
ejpam-3538	290	57	t	t	NOUN
ejpam-3538	290	58	=	=	NUM
ejpam-3538	290	59	0.25	0.25	NUM
ejpam-3538	290	60	references	reference	NOUN
ejpam-3538	290	61	1480	1480	NUM
ejpam-3538	290	62	x	x	NOUN
ejpam-3538	290	63	-	-	NOUN
ejpam-3538	290	64	axis	axis	ADJ
ejpam-3538	290	65	-1	-1	ADP
ejpam-3538	290	66	1	1	NUM
ejpam-3538	290	67	yax	yax	NOUN
ejpam-3538	290	68	is	be	AUX
ejpam-3538	290	69	-1	-1	PUNCT
ejpam-3538	290	70	1	1	NUM
ejpam-3538	290	71	0.8	0.8	NUM
ejpam-3538	290	72	1	1	NUM
ejpam-3538	290	73	1.2	1.2	NUM
ejpam-3538	290	74	1.4	1.4	NUM
ejpam-3538	290	75	1.6	1.6	NUM
ejpam-3538	290	76	1.8	1.8	NUM
ejpam-3538	290	77	2	2	NUM
ejpam-3538	290	78	2.2	2.2	NUM
ejpam-3538	290	79	2.4	2.4	NUM
ejpam-3538	290	80	2.6	2.6	NUM
ejpam-3538	290	81	(	(	PUNCT
ejpam-3538	290	82	a	a	NOUN
ejpam-3538	290	83	)	)	PUNCT
ejpam-3538	290	84	results	result	NOUN
ejpam-3538	290	85	of	of	ADP
ejpam-3538	290	86	4th	4th	ADJ
ejpam-3538	290	87	-	-	PUNCT
ejpam-3538	290	88	order	order	NOUN
ejpam-3538	290	89	cese	cese	NOUN
ejpam-3538	290	90	method	method	NOUN
ejpam-3538	290	91	x	x	NOUN
ejpam-3538	290	92	-	-	NOUN
ejpam-3538	290	93	axis	axis	ADJ
ejpam-3538	290	94	-1	-1	ADP
ejpam-3538	290	95	1	1	NUM
ejpam-3538	290	96	yax	yax	NOUN
ejpam-3538	290	97	is	be	AUX
ejpam-3538	290	98	-1	-1	PUNCT
ejpam-3538	290	99	1	1	NUM
ejpam-3538	290	100	0.8	0.8	NUM
ejpam-3538	290	101	1	1	NUM
ejpam-3538	290	102	1.2	1.2	NUM
ejpam-3538	290	103	1.4	1.4	NUM
ejpam-3538	290	104	1.6	1.6	NUM
ejpam-3538	290	105	1.8	1.8	NUM
ejpam-3538	290	106	2	2	NUM
ejpam-3538	290	107	2.2	2.2	NUM
ejpam-3538	290	108	2.4	2.4	NUM
ejpam-3538	290	109	2.6	2.6	NUM
ejpam-3538	290	110	(	(	PUNCT
ejpam-3538	290	111	b	b	NOUN
ejpam-3538	290	112	)	)	PUNCT
ejpam-3538	290	113	results	result	NOUN
ejpam-3538	290	114	of	of	ADP
ejpam-3538	290	115	2nd	2nd	ADJ
ejpam-3538	290	116	-	-	PUNCT
ejpam-3538	290	117	order	order	NOUN
ejpam-3538	290	118	cese	cese	NOUN
ejpam-3538	290	119	method	method	NOUN
ejpam-3538	290	120	figure	figure	NOUN
ejpam-3538	290	121	11	11	NUM
ejpam-3538	290	122	:	:	PUNCT
ejpam-3538	290	123	bx	bx	NOUN
ejpam-3538	290	124	computed	compute	VERB
ejpam-3538	290	125	at	at	ADP
ejpam-3538	290	126	t	t	NOUN
ejpam-3538	290	127	=	=	NUM
ejpam-3538	290	128	0.25	0.25	NUM
ejpam-3538	290	129	references	reference	NOUN
ejpam-3538	290	130	[	[	X
ejpam-3538	290	131	1	1	NUM
ejpam-3538	290	132	]	]	PUNCT
ejpam-3538	290	133	balsara	balsara	NOUN
ejpam-3538	290	134	,	,	PUNCT
ejpam-3538	290	135	dinshaw	dinshaw	PROPN
ejpam-3538	290	136	s.	s.	PROPN
ejpam-3538	290	137	,	,	PUNCT
ejpam-3538	290	138	michael	michael	PROPN
ejpam-3538	290	139	dumbser	dumbser	PROPN
ejpam-3538	290	140	,	,	PUNCT
ejpam-3538	290	141	and	and	CCONJ
ejpam-3538	290	142	remi	remi	PROPN
ejpam-3538	290	143	abgrall	abgrall	PROPN
ejpam-3538	290	144	.	.	PUNCT
ejpam-3538	291	1	”	"	PUNCT
ejpam-3538	291	2	multidimensional	multidimensional	ADJ
ejpam-3538	291	3	hllc	hllc	PROPN
ejpam-3538	291	4	riemann	riemann	PROPN
ejpam-3538	291	5	solver	solver	PROPN
ejpam-3538	291	6	for	for	ADP
ejpam-3538	291	7	unstructured	unstructured	ADJ
ejpam-3538	291	8	mesheswith	mesheswith	PROPN
ejpam-3538	291	9	application	application	NOUN
ejpam-3538	291	10	to	to	PART
ejpam-3538	291	11	euler	euler	VERB
ejpam-3538	291	12	and	and	CCONJ
ejpam-3538	291	13	mhd	mhd	PROPN
ejpam-3538	291	14	flows	flow	NOUN
ejpam-3538	291	15	.	.	PUNCT
ejpam-3538	291	16	”	"	PUNCT
ejpam-3538	292	1	journal	journal	NOUN
ejpam-3538	292	2	of	of	ADP
ejpam-3538	292	3	computational	computational	ADJ
ejpam-3538	292	4	physics	physic	NOUN
ejpam-3538	292	5	261	261	NUM
ejpam-3538	292	6	(	(	PUNCT
ejpam-3538	292	7	2014	2014	NUM
ejpam-3538	292	8	):	):	PUNCT
ejpam-3538	292	9	172	172	NUM
ejpam-3538	292	10	-	-	SYM
ejpam-3538	292	11	208	208	NUM
ejpam-3538	292	12	.	.	PUNCT
ejpam-3538	293	1	[	[	X
ejpam-3538	293	2	2	2	NUM
ejpam-3538	293	3	]	]	PUNCT
ejpam-3538	293	4	brackbill	brackbill	NOUN
ejpam-3538	293	5	,	,	PUNCT
ejpam-3538	293	6	jeremiah	jeremiah	PROPN
ejpam-3538	293	7	u.	u.	PROPN
ejpam-3538	293	8	,	,	PUNCT
ejpam-3538	293	9	and	and	CCONJ
ejpam-3538	293	10	daniel	daniel	PROPN
ejpam-3538	293	11	c.	c.	PROPN
ejpam-3538	293	12	barnes	barnes	PROPN
ejpam-3538	293	13	.	.	PUNCT
ejpam-3538	294	1	”	"	PUNCT
ejpam-3538	294	2	the	the	DET
ejpam-3538	294	3	effect	effect	NOUN
ejpam-3538	294	4	of	of	ADP
ejpam-3538	294	5	nonzero	nonzero	PROPN
ejpam-3538	294	6	5·b	5·b	PROPN
ejpam-3538	294	7	on	on	ADP
ejpam-3538	294	8	the	the	DET
ejpam-3538	294	9	numerical	numerical	ADJ
ejpam-3538	294	10	solution	solution	NOUN
ejpam-3538	294	11	of	of	ADP
ejpam-3538	294	12	the	the	DET
ejpam-3538	294	13	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-3538	294	14	equations	equation	NOUN
ejpam-3538	294	15	.	.	PUNCT
ejpam-3538	294	16	”	"	PUNCT
ejpam-3538	295	1	journal	journal	NOUN
ejpam-3538	295	2	of	of	ADP
ejpam-3538	295	3	computational	computational	ADJ
ejpam-3538	295	4	physics	physic	NOUN
ejpam-3538	295	5	35	35	NUM
ejpam-3538	295	6	,	,	PUNCT
ejpam-3538	295	7	no	no	INTJ
ejpam-3538	295	8	.	.	NOUN
ejpam-3538	295	9	3	3	NUM
ejpam-3538	295	10	(	(	PUNCT
ejpam-3538	295	11	1980	1980	NUM
ejpam-3538	295	12	):	):	PUNCT
ejpam-3538	295	13	426	426	NUM
ejpam-3538	295	14	-	-	SYM
ejpam-3538	295	15	430	430	NUM
ejpam-3538	295	16	.	.	PUNCT
ejpam-3538	296	1	[	[	X
ejpam-3538	296	2	3	3	NUM
ejpam-3538	296	3	]	]	X
ejpam-3538	296	4	chang	chang	PROPN
ejpam-3538	296	5	,	,	PUNCT
ejpam-3538	296	6	sin	sin	NOUN
ejpam-3538	296	7	-	-	PUNCT
ejpam-3538	296	8	chung	chung	NOUN
ejpam-3538	296	9	.	.	PUNCT
ejpam-3538	297	1	”	"	PUNCT
ejpam-3538	297	2	the	the	DET
ejpam-3538	297	3	method	method	NOUN
ejpam-3538	297	4	of	of	ADP
ejpam-3538	297	5	space	space	NOUN
ejpam-3538	297	6	-	-	PUNCT
ejpam-3538	297	7	time	time	NOUN
ejpam-3538	297	8	conservation	conservation	NOUN
ejpam-3538	297	9	element	element	NOUN
ejpam-3538	297	10	and	and	CCONJ
ejpam-3538	297	11	solution	solution	NOUN
ejpam-3538	297	12	elementa	elementa	VERB
ejpam-3538	297	13	new	new	ADJ
ejpam-3538	297	14	approach	approach	NOUN
ejpam-3538	297	15	for	for	ADP
ejpam-3538	297	16	solving	solve	VERB
ejpam-3538	297	17	the	the	DET
ejpam-3538	297	18	navier	navier	NOUN
ejpam-3538	297	19	-	-	PUNCT
ejpam-3538	297	20	stokes	stokes	PROPN
ejpam-3538	297	21	and	and	CCONJ
ejpam-3538	297	22	euler	euler	PROPN
ejpam-3538	297	23	equations	equation	NOUN
ejpam-3538	297	24	.	.	PUNCT
ejpam-3538	297	25	”	"	PUNCT
ejpam-3538	298	1	journal	journal	NOUN
ejpam-3538	298	2	of	of	ADP
ejpam-3538	298	3	computational	computational	ADJ
ejpam-3538	298	4	physics	physic	NOUN
ejpam-3538	298	5	119	119	NUM
ejpam-3538	298	6	,	,	PUNCT
ejpam-3538	298	7	no	no	INTJ
ejpam-3538	298	8	.	.	NOUN
ejpam-3538	298	9	2	2	NUM
ejpam-3538	298	10	(	(	PUNCT
ejpam-3538	298	11	1995	1995	NUM
ejpam-3538	298	12	):	):	PUNCT
ejpam-3538	298	13	295	295	NUM
ejpam-3538	298	14	-	-	SYM
ejpam-3538	298	15	324	324	NUM
ejpam-3538	298	16	.	.	PUNCT
ejpam-3538	299	1	[	[	X
ejpam-3538	299	2	4	4	NUM
ejpam-3538	299	3	]	]	X
ejpam-3538	299	4	chang	chang	PROPN
ejpam-3538	299	5	,	,	PUNCT
ejpam-3538	299	6	s.c	s.c	PROPN
ejpam-3538	299	7	.	.	PROPN
ejpam-3538	299	8	;	;	PUNCT
ejpam-3538	299	9	yu	yu	PROPN
ejpam-3538	299	10	,	,	PUNCT
ejpam-3538	299	11	s.t	s.t	PROPN
ejpam-3538	299	12	.	.	PROPN
ejpam-3538	299	13	;	;	PUNCT
ejpam-3538	299	14	himansu	himansu	PROPN
ejpam-3538	299	15	,	,	PUNCT
ejpam-3538	299	16	a.	a.	PROPN
ejpam-3538	299	17	;	;	PUNCT
ejpam-3538	299	18	wang	wang	PROPN
ejpam-3538	299	19	,	,	PUNCT
ejpam-3538	299	20	x.y	x.y	PROPN
ejpam-3538	299	21	.	.	PROPN
ejpam-3538	299	22	;	;	PUNCT
ejpam-3538	299	23	chow	chow	PROPN
ejpam-3538	299	24	,	,	PUNCT
ejpam-3538	299	25	c.y	c.y	PROPN
ejpam-3538	299	26	.	.	PROPN
ejpam-3538	299	27	;	;	PUNCT
ejpam-3538	299	28	loh	loh	PROPN
ejpam-3538	299	29	,	,	PUNCT
ejpam-3538	299	30	c.y	c.y	PROPN
ejpam-3538	299	31	.	.	PUNCT
ejpam-3538	300	1	the	the	DET
ejpam-3538	300	2	method	method	NOUN
ejpam-3538	300	3	of	of	ADP
ejpam-3538	300	4	space	space	NOUN
ejpam-3538	300	5	-	-	PUNCT
ejpam-3538	300	6	time	time	NOUN
ejpam-3538	300	7	conservation	conservation	NOUN
ejpam-3538	300	8	element	element	NOUN
ejpam-3538	300	9	and	and	CCONJ
ejpam-3538	300	10	solution	solution	NOUN
ejpam-3538	300	11	elementa	elementa	VERB
ejpam-3538	300	12	new	new	ADJ
ejpam-3538	300	13	paradigm	paradigm	NOUN
ejpam-3538	300	14	for	for	ADP
ejpam-3538	300	15	numerical	numerical	ADJ
ejpam-3538	300	16	solution	solution	NOUN
ejpam-3538	300	17	of	of	ADP
ejpam-3538	300	18	conservation	conservation	NOUN
ejpam-3538	300	19	laws	law	NOUN
ejpam-3538	300	20	.	.	PUNCT
ejpam-3538	301	1	comput	comput	NOUN
ejpam-3538	301	2	.	.	PUNCT
ejpam-3538	302	1	fluid	fluid	ADJ
ejpam-3538	302	2	dyn	dyn	NOUN
ejpam-3538	302	3	.	.	PUNCT
ejpam-3538	303	1	rev	rev	PROPN
ejpam-3538	303	2	.	.	PROPN
ejpam-3538	303	3	1998	1998	NUM
ejpam-3538	303	4	,	,	PUNCT
ejpam-3538	303	5	2	2	NUM
ejpam-3538	303	6	,	,	PUNCT
ejpam-3538	303	7	206–240	206–240	NUM
ejpam-3538	303	8	.	.	PUNCT
ejpam-3538	304	1	[	[	X
ejpam-3538	304	2	5	5	NUM
ejpam-3538	304	3	]	]	X
ejpam-3538	304	4	de	de	X
ejpam-3538	304	5	sterck	sterck	PROPN
ejpam-3538	304	6	,	,	PUNCT
ejpam-3538	304	7	h.	h.	PROPN
ejpam-3538	304	8	hyperbolic	hyperbolic	PROPN
ejpam-3538	304	9	theory	theory	NOUN
ejpam-3538	304	10	of	of	ADP
ejpam-3538	304	11	the	the	DET
ejpam-3538	304	12	shallow	shallow	ADJ
ejpam-3538	304	13	water	water	NOUN
ejpam-3538	304	14	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-3538	304	15	equations	equation	NOUN
ejpam-3538	304	16	.	.	PUNCT
ejpam-3538	305	1	phys	phy	NOUN
ejpam-3538	305	2	.	.	PUNCT
ejpam-3538	306	1	plasmas	plasma	NOUN
ejpam-3538	306	2	2001	2001	NUM
ejpam-3538	306	3	,	,	PUNCT
ejpam-3538	306	4	8	8	NUM
ejpam-3538	306	5	,	,	PUNCT
ejpam-3538	306	6	3293–3304	3293–3304	NUM
ejpam-3538	306	7	.	.	PUNCT
ejpam-3538	307	1	[	[	X
ejpam-3538	307	2	6	6	NUM
ejpam-3538	307	3	]	]	PUNCT
ejpam-3538	307	4	dikpati	dikpati	NOUN
ejpam-3538	307	5	,	,	PUNCT
ejpam-3538	307	6	m.	m.	NOUN
ejpam-3538	307	7	;	;	PUNCT
ejpam-3538	307	8	gilman	gilman	PROPN
ejpam-3538	307	9	,	,	PUNCT
ejpam-3538	307	10	p.a	p.a	PROPN
ejpam-3538	307	11	.	.	PROPN
ejpam-3538	307	12	flux	flux	PROPN
ejpam-3538	307	13	-	-	PUNCT
ejpam-3538	307	14	transport	transport	NOUN
ejpam-3538	307	15	dynamos	dynamos	NOUN
ejpam-3538	307	16	with	with	ADP
ejpam-3538	307	17	α	α	NOUN
ejpam-3538	307	18	-	-	NOUN
ejpam-3538	307	19	effect	effect	NOUN
ejpam-3538	307	20	from	from	ADP
ejpam-3538	307	21	global	global	ADJ
ejpam-3538	307	22	instability	instability	NOUN
ejpam-3538	307	23	of	of	ADP
ejpam-3538	307	24	tachocline	tachocline	NOUN
ejpam-3538	307	25	differential	differential	ADJ
ejpam-3538	307	26	rotation	rotation	NOUN
ejpam-3538	307	27	:	:	PUNCT
ejpam-3538	307	28	a	a	DET
ejpam-3538	307	29	solution	solution	NOUN
ejpam-3538	307	30	for	for	ADP
ejpam-3538	307	31	magnetic	magnetic	ADJ
ejpam-3538	307	32	parity	parity	NOUN
ejpam-3538	307	33	selection	selection	NOUN
ejpam-3538	307	34	in	in	ADP
ejpam-3538	307	35	the	the	DET
ejpam-3538	307	36	sun	sun	NOUN
ejpam-3538	307	37	.	.	PUNCT
ejpam-3538	307	38	astrophys	astrophys	PROPN
ejpam-3538	307	39	.	.	PUNCT
ejpam-3538	308	1	j.	j.	PROPN
ejpam-3538	308	2	2001	2001	PROPN
ejpam-3538	308	3	,	,	PUNCT
ejpam-3538	308	4	559	559	NUM
ejpam-3538	308	5	,	,	PUNCT
ejpam-3538	308	6	428	428	NUM
ejpam-3538	308	7	.	.	PUNCT
ejpam-3538	309	1	[	[	X
ejpam-3538	309	2	7	7	NUM
ejpam-3538	309	3	]	]	PUNCT
ejpam-3538	309	4	dikpati	dikpati	NOUN
ejpam-3538	309	5	,	,	PUNCT
ejpam-3538	309	6	m.	m.	NOUN
ejpam-3538	309	7	;	;	PUNCT
ejpam-3538	309	8	gilman	gilman	PROPN
ejpam-3538	309	9	,	,	PUNCT
ejpam-3538	309	10	p.a	p.a	PROPN
ejpam-3538	309	11	.	.	PROPN
ejpam-3538	309	12	prolateness	prolateness	NOUN
ejpam-3538	309	13	of	of	ADP
ejpam-3538	309	14	the	the	DET
ejpam-3538	309	15	solar	solar	ADJ
ejpam-3538	309	16	tachocline	tachocline	NOUN
ejpam-3538	309	17	inferred	infer	VERB
ejpam-3538	309	18	from	from	ADP
ejpam-3538	309	19	latitudinal	latitudinal	ADJ
ejpam-3538	309	20	force	force	NOUN
ejpam-3538	309	21	balance	balance	NOUN
ejpam-3538	309	22	in	in	ADP
ejpam-3538	309	23	a	a	DET
ejpam-3538	309	24	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-3538	309	25	shallow	shallow	ADJ
ejpam-3538	309	26	-	-	PUNCT
ejpam-3538	309	27	water	water	NOUN
ejpam-3538	309	28	model	model	NOUN
ejpam-3538	309	29	.	.	PUNCT
ejpam-3538	309	30	astrophys	astrophys	PROPN
ejpam-3538	309	31	.	.	PUNCT
ejpam-3538	310	1	j.	j.	PROPN
ejpam-3538	310	2	2001	2001	PROPN
ejpam-3538	310	3	,	,	PUNCT
ejpam-3538	310	4	552	552	NUM
ejpam-3538	310	5	,	,	PUNCT
ejpam-3538	310	6	348	348	NUM
ejpam-3538	310	7	.	.	PUNCT
ejpam-3538	311	1	[	[	X
ejpam-3538	311	2	8	8	NUM
ejpam-3538	311	3	]	]	X
ejpam-3538	311	4	fuchs	fuch	NOUN
ejpam-3538	311	5	,	,	PUNCT
ejpam-3538	311	6	franz	franz	NOUN
ejpam-3538	311	7	georg	georg	NOUN
ejpam-3538	311	8	,	,	PUNCT
ejpam-3538	311	9	andrew	andrew	PROPN
ejpam-3538	311	10	d.	d.	PROPN
ejpam-3538	311	11	mcmurry	mcmurry	PROPN
ejpam-3538	311	12	,	,	PUNCT
ejpam-3538	311	13	siddhartha	siddhartha	PROPN
ejpam-3538	311	14	mishra	mishra	PROPN
ejpam-3538	311	15	,	,	PUNCT
ejpam-3538	311	16	nils	nils	PROPN
ejpam-3538	311	17	henrik	henrik	PROPN
ejpam-3538	311	18	risebro	risebro	PROPN
ejpam-3538	311	19	,	,	PUNCT
ejpam-3538	311	20	and	and	CCONJ
ejpam-3538	311	21	knut	knut	PROPN
ejpam-3538	311	22	waagan	waagan	PROPN
ejpam-3538	311	23	.	.	PUNCT
ejpam-3538	312	1	”	"	PUNCT
ejpam-3538	312	2	approximate	approximate	ADJ
ejpam-3538	312	3	riemann	riemann	PROPN
ejpam-3538	312	4	solvers	solver	NOUN
ejpam-3538	312	5	and	and	CCONJ
ejpam-3538	312	6	robust	robust	ADJ
ejpam-3538	312	7	high	high	ADJ
ejpam-3538	312	8	-	-	PUNCT
ejpam-3538	312	9	order	order	NOUN
ejpam-3538	312	10	finite	finite	NOUN
ejpam-3538	312	11	volume	volume	NOUN
ejpam-3538	312	12	schemes	scheme	NOUN
ejpam-3538	312	13	for	for	ADP
ejpam-3538	312	14	multi	multi	ADJ
ejpam-3538	312	15	-	-	ADJ
ejpam-3538	312	16	dimensional	dimensional	ADJ
ejpam-3538	312	17	ideal	ideal	ADJ
ejpam-3538	312	18	mhd	mhd	NOUN
ejpam-3538	312	19	equations	equation	NOUN
ejpam-3538	312	20	.	.	PUNCT
ejpam-3538	312	21	”	"	PUNCT
ejpam-3538	313	1	communications	communication	NOUN
ejpam-3538	313	2	in	in	ADP
ejpam-3538	313	3	computational	computational	ADJ
ejpam-3538	313	4	physics	physic	NOUN
ejpam-3538	313	5	9	9	NUM
ejpam-3538	313	6	,	,	PUNCT
ejpam-3538	313	7	no	no	INTJ
ejpam-3538	313	8	.	.	NOUN
ejpam-3538	313	9	2	2	NUM
ejpam-3538	313	10	(	(	PUNCT
ejpam-3538	313	11	2011	2011	NUM
ejpam-3538	313	12	):	):	PUNCT
ejpam-3538	313	13	324	324	NUM
ejpam-3538	313	14	-	-	SYM
ejpam-3538	313	15	362	362	NUM
ejpam-3538	313	16	.	.	PUNCT
ejpam-3538	314	1	[	[	X
ejpam-3538	314	2	9	9	NUM
ejpam-3538	314	3	]	]	X
ejpam-3538	314	4	gilman	gilman	PROPN
ejpam-3538	314	5	,	,	PUNCT
ejpam-3538	314	6	p.a	p.a	PROPN
ejpam-3538	314	7	.	.	PROPN
ejpam-3538	314	8	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-3538	314	9	shallow	shallow	ADJ
ejpam-3538	314	10	water	water	NOUN
ejpam-3538	314	11	equations	equation	NOUN
ejpam-3538	314	12	for	for	ADP
ejpam-3538	314	13	the	the	DET
ejpam-3538	314	14	solar	solar	ADJ
ejpam-3538	314	15	tachocline	tachocline	NOUN
ejpam-3538	314	16	.	.	PUNCT
ejpam-3538	315	1	astrophys	astrophys	PROPN
ejpam-3538	315	2	.	.	PUNCT
ejpam-3538	316	1	j.	j.	PROPN
ejpam-3538	316	2	lett	lett	PROPN
ejpam-3538	316	3	.	.	PROPN
ejpam-3538	317	1	2000	2000	NUM
ejpam-3538	317	2	,	,	PUNCT
ejpam-3538	317	3	544	544	NUM
ejpam-3538	317	4	,	,	PUNCT
ejpam-3538	317	5	l79	l79	NOUN
ejpam-3538	317	6	.	.	PUNCT
ejpam-3538	318	1	references	reference	NOUN
ejpam-3538	318	2	1481	1481	NUM
ejpam-3538	319	1	[	[	X
ejpam-3538	319	2	10	10	NUM
ejpam-3538	319	3	]	]	X
ejpam-3538	319	4	sidrah	sidrah	ADV
ejpam-3538	319	5	,	,	PUNCT
ejpam-3538	319	6	a.	a.	NOUN
ejpam-3538	319	7	”	"	PUNCT
ejpam-3538	319	8	numerical	numerical	ADJ
ejpam-3538	319	9	approximation	approximation	NOUN
ejpam-3538	319	10	of	of	ADP
ejpam-3538	319	11	classical	classical	ADJ
ejpam-3538	319	12	and	and	CCONJ
ejpam-3538	319	13	relativistic	relativistic	ADJ
ejpam-3538	319	14	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-3538	319	15	.	.	PUNCT
ejpam-3538	319	16	”	"	PUNCT
ejpam-3538	320	1	phd	phd	PROPN
ejpam-3538	320	2	diss	diss	PROPN
ejpam-3538	320	3	.	.	PROPN
ejpam-3538	320	4	,	,	PUNCT
ejpam-3538	320	5	comsats	comsats	PROPN
ejpam-3538	320	6	institute	institute	PROPN
ejpam-3538	320	7	of	of	ADP
ejpam-3538	320	8	information	information	NOUN
ejpam-3538	320	9	technology	technology	PROPN
ejpam-3538	320	10	,	,	PUNCT
ejpam-3538	320	11	islamabadpakistan	islamabadpakistan	PROPN
ejpam-3538	320	12	,	,	PUNCT
ejpam-3538	320	13	2011	2011	NUM
ejpam-3538	320	14	.	.	PUNCT
ejpam-3538	321	1	[	[	X
ejpam-3538	321	2	11	11	NUM
ejpam-3538	321	3	]	]	X
ejpam-3538	321	4	jiang	jiang	PROPN
ejpam-3538	321	5	,	,	PUNCT
ejpam-3538	321	6	c.	c.	PROPN
ejpam-3538	321	7	;	;	PUNCT
ejpam-3538	321	8	feng	feng	PROPN
ejpam-3538	321	9	,	,	PUNCT
ejpam-3538	321	10	x.	x.	PROPN
ejpam-3538	321	11	;	;	PUNCT
ejpam-3538	321	12	zhang	zhang	PROPN
ejpam-3538	321	13	,	,	PUNCT
ejpam-3538	321	14	j.	j.	PROPN
ejpam-3538	321	15	;	;	PUNCT
ejpam-3538	321	16	zhong	zhong	PROPN
ejpam-3538	321	17	,	,	PUNCT
ejpam-3538	321	18	d.	d.	PROPN
ejpam-3538	321	19	amr	amr	PROPN
ejpam-3538	321	20	simulations	simulation	NOUN
ejpam-3538	321	21	of	of	ADP
ejpam-3538	321	22	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-3538	321	23	problems	problem	NOUN
ejpam-3538	321	24	by	by	ADP
ejpam-3538	321	25	the	the	DET
ejpam-3538	321	26	cese	cese	ADJ
ejpam-3538	321	27	method	method	NOUN
ejpam-3538	321	28	in	in	ADP
ejpam-3538	321	29	curvilinear	curvilinear	PROPN
ejpam-3538	321	30	coordinates	coordinate	NOUN
ejpam-3538	321	31	.	.	PUNCT
ejpam-3538	321	32	sol	sol	NOUN
ejpam-3538	321	33	.	.	PUNCT
ejpam-3538	322	1	phys	phy	NOUN
ejpam-3538	322	2	.	.	PUNCT
ejpam-3538	323	1	2010	2010	NUM
ejpam-3538	323	2	,	,	PUNCT
ejpam-3538	323	3	267	267	NUM
ejpam-3538	323	4	,	,	PUNCT
ejpam-3538	323	5	463	463	NUM
ejpam-3538	323	6	–	–	PUNCT
ejpam-3538	323	7	491	491	NUM
ejpam-3538	323	8	.	.	PUNCT
ejpam-3538	324	1	[	[	X
ejpam-3538	324	2	12	12	NUM
ejpam-3538	324	3	]	]	X
ejpam-3538	324	4	krger	krger	NOUN
ejpam-3538	324	5	,	,	PUNCT
ejpam-3538	324	6	t.	t.	PROPN
ejpam-3538	324	7	;	;	PUNCT
ejpam-3538	324	8	lukov	lukov	PROPN
ejpam-3538	324	9	-	-	PUNCT
ejpam-3538	324	10	medvidov	medvidov	PROPN
ejpam-3538	324	11	,	,	PUNCT
ejpam-3538	324	12	m.	m.	NOUN
ejpam-3538	324	13	an	an	DET
ejpam-3538	324	14	evolution	evolution	NOUN
ejpam-3538	324	15	galerkin	galerkin	ADJ
ejpam-3538	324	16	scheme	scheme	NOUN
ejpam-3538	324	17	for	for	ADP
ejpam-3538	324	18	the	the	DET
ejpam-3538	324	19	shallow	shallow	ADJ
ejpam-3538	324	20	water	water	NOUN
ejpam-3538	324	21	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-3538	324	22	equations	equation	NOUN
ejpam-3538	324	23	in	in	ADP
ejpam-3538	324	24	two	two	NUM
ejpam-3538	324	25	space	space	NOUN
ejpam-3538	324	26	dimensions	dimension	NOUN
ejpam-3538	324	27	.	.	PUNCT
ejpam-3538	325	1	j.	j.	PROPN
ejpam-3538	325	2	comput	comput	PROPN
ejpam-3538	325	3	.	.	PUNCT
ejpam-3538	326	1	phys	phy	NOUN
ejpam-3538	326	2	.	.	PUNCT
ejpam-3538	327	1	2005	2005	NUM
ejpam-3538	327	2	,	,	PUNCT
ejpam-3538	327	3	206	206	NUM
ejpam-3538	327	4	,	,	PUNCT
ejpam-3538	327	5	122–149	122–149	NUM
ejpam-3538	327	6	.	.	PUNCT
ejpam-3538	328	1	[	[	X
ejpam-3538	328	2	13	13	NUM
ejpam-3538	328	3	]	]	X
ejpam-3538	328	4	massimi	massimi	NOUN
ejpam-3538	328	5	,	,	PUNCT
ejpam-3538	328	6	h.s	h.s	PROPN
ejpam-3538	328	7	.	.	PROPN
ejpam-3538	328	8	;	;	PUNCT
ejpam-3538	328	9	shen	shen	PROPN
ejpam-3538	328	10	,	,	PUNCT
ejpam-3538	328	11	h.	h.	PROPN
ejpam-3538	328	12	;	;	PUNCT
ejpam-3538	328	13	wen	wen	PROPN
ejpam-3538	328	14	,	,	PUNCT
ejpam-3538	328	15	c.y	c.y	PROPN
ejpam-3538	328	16	.	.	PROPN
ejpam-3538	328	17	study	study	NOUN
ejpam-3538	328	18	of	of	ADP
ejpam-3538	328	19	hypersonic	hypersonic	ADJ
ejpam-3538	328	20	dissociating	dissociating	NOUN
ejpam-3538	328	21	flows	flow	NOUN
ejpam-3538	328	22	over	over	ADP
ejpam-3538	328	23	spheres	sphere	NOUN
ejpam-3538	328	24	using	use	VERB
ejpam-3538	328	25	the	the	DET
ejpam-3538	328	26	space	space	NOUN
ejpam-3538	328	27	-	-	PUNCT
ejpam-3538	328	28	time	time	NOUN
ejpam-3538	328	29	ce	ce	PROPN
ejpam-3538	328	30	/	/	SYM
ejpam-3538	328	31	se	se	PROPN
ejpam-3538	328	32	method	method	PROPN
ejpam-3538	328	33	.	.	PUNCT
ejpam-3538	329	1	in	in	ADP
ejpam-3538	329	2	proceedings	proceeding	NOUN
ejpam-3538	329	3	of	of	ADP
ejpam-3538	329	4	the	the	DET
ejpam-3538	329	5	30th	30th	ADJ
ejpam-3538	329	6	international	international	ADJ
ejpam-3538	329	7	symposium	symposium	NOUN
ejpam-3538	329	8	on	on	ADP
ejpam-3538	329	9	shock	shock	NOUN
ejpam-3538	329	10	waves	wave	NOUN
ejpam-3538	329	11	,	,	PUNCT
ejpam-3538	329	12	tel	tel	PROPN
ejpam-3538	329	13	aviv	aviv	PROPN
ejpam-3538	329	14	,	,	PUNCT
ejpam-3538	329	15	israel	israel	PROPN
ejpam-3538	329	16	,	,	PUNCT
ejpam-3538	329	17	19–24	19–24	NUM
ejpam-3538	329	18	july	july	PROPN
ejpam-3538	329	19	2015	2015	NUM
ejpam-3538	329	20	;	;	PUNCT
ejpam-3538	329	21	springer	springer	NOUN
ejpam-3538	329	22	:	:	PUNCT
ejpam-3538	329	23	cham	cham	PROPN
ejpam-3538	329	24	,	,	PUNCT
ejpam-3538	329	25	switzerland	switzerland	PROPN
ejpam-3538	329	26	,	,	PUNCT
ejpam-3538	329	27	2017	2017	NUM
ejpam-3538	329	28	;	;	PUNCT
ejpam-3538	329	29	pp	pp	ADP
ejpam-3538	329	30	.	.	PUNCT
ejpam-3538	330	1	145–148	145–148	NUM
ejpam-3538	330	2	.	.	PUNCT
ejpam-3538	331	1	[	[	X
ejpam-3538	331	2	14	14	NUM
ejpam-3538	331	3	]	]	X
ejpam-3538	331	4	qamar	qamar	PROPN
ejpam-3538	331	5	,	,	PUNCT
ejpam-3538	331	6	s.	s.	PROPN
ejpam-3538	331	7	;	;	PUNCT
ejpam-3538	331	8	mudasser	mudasser	NOUN
ejpam-3538	331	9	,	,	PUNCT
ejpam-3538	331	10	s.	s.	PROPN
ejpam-3538	331	11	on	on	ADP
ejpam-3538	331	12	the	the	DET
ejpam-3538	331	13	application	application	NOUN
ejpam-3538	331	14	of	of	ADP
ejpam-3538	331	15	a	a	DET
ejpam-3538	331	16	variant	variant	ADJ
ejpam-3538	331	17	ce	ce	PROPN
ejpam-3538	331	18	/	/	SYM
ejpam-3538	331	19	se	se	PROPN
ejpam-3538	331	20	method	method	NOUN
ejpam-3538	331	21	for	for	ADP
ejpam-3538	331	22	solving	solve	VERB
ejpam-3538	331	23	two	two	NUM
ejpam-3538	331	24	-	-	PUNCT
ejpam-3538	331	25	dimensional	dimensional	ADJ
ejpam-3538	331	26	ideal	ideal	ADJ
ejpam-3538	331	27	mhd	mhd	NOUN
ejpam-3538	331	28	equations	equation	NOUN
ejpam-3538	331	29	.	.	PUNCT
ejpam-3538	332	1	appl	appl	PROPN
ejpam-3538	332	2	.	.	PUNCT
ejpam-3538	333	1	numer	numer	PROPN
ejpam-3538	333	2	.	.	PUNCT
ejpam-3538	333	3	math	math	PROPN
ejpam-3538	333	4	.	.	PUNCT
ejpam-3538	334	1	2010	2010	NUM
ejpam-3538	334	2	,	,	PUNCT
ejpam-3538	334	3	60	60	NUM
ejpam-3538	334	4	,	,	PUNCT
ejpam-3538	334	5	587–606	587–606	NUM
ejpam-3538	334	6	.	.	PUNCT
ejpam-3538	335	1	[	[	X
ejpam-3538	335	2	15	15	NUM
ejpam-3538	335	3	]	]	X
ejpam-3538	335	4	qamar	qamar	PROPN
ejpam-3538	335	5	,	,	PUNCT
ejpam-3538	335	6	s.	s.	PROPN
ejpam-3538	335	7	;	;	PUNCT
ejpam-3538	335	8	warnecke	warnecke	PROPN
ejpam-3538	335	9	,	,	PUNCT
ejpam-3538	335	10	g.	g.	PROPN
ejpam-3538	335	11	application	application	NOUN
ejpam-3538	335	12	of	of	ADP
ejpam-3538	335	13	spacetime	spacetime	PROPN
ejpam-3538	335	14	ce	ce	PROPN
ejpam-3538	335	15	/	/	SYM
ejpam-3538	335	16	se	se	PROPN
ejpam-3538	335	17	method	method	NOUN
ejpam-3538	335	18	to	to	PART
ejpam-3538	335	19	shallow	shallow	VERB
ejpam-3538	335	20	water	water	NOUN
ejpam-3538	335	21	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-3538	335	22	equations	equation	NOUN
ejpam-3538	335	23	.	.	PUNCT
ejpam-3538	336	1	j.	j.	PROPN
ejpam-3538	336	2	comput	comput	PROPN
ejpam-3538	336	3	.	.	PUNCT
ejpam-3538	337	1	appl	appl	PROPN
ejpam-3538	337	2	.	.	PROPN
ejpam-3538	337	3	math	math	PROPN
ejpam-3538	337	4	.	.	PUNCT
ejpam-3538	338	1	2006	2006	NUM
ejpam-3538	338	2	,	,	PUNCT
ejpam-3538	338	3	196	196	NUM
ejpam-3538	338	4	,	,	PUNCT
ejpam-3538	338	5	132–149	132–149	NUM
ejpam-3538	338	6	.	.	PUNCT
ejpam-3538	339	1	[	[	X
ejpam-3538	339	2	16	16	NUM
ejpam-3538	339	3	]	]	X
ejpam-3538	339	4	rossmanith	rossmanith	NOUN
ejpam-3538	339	5	,	,	PUNCT
ejpam-3538	339	6	j.a	j.a	PROPN
ejpam-3538	339	7	.	.	PROPN
ejpam-3538	339	8	a	a	DET
ejpam-3538	339	9	wave	wave	NOUN
ejpam-3538	339	10	propagation	propagation	NOUN
ejpam-3538	339	11	method	method	NOUN
ejpam-3538	339	12	with	with	ADP
ejpam-3538	339	13	constrained	constrained	ADJ
ejpam-3538	339	14	transport	transport	NOUN
ejpam-3538	339	15	for	for	ADP
ejpam-3538	339	16	ideal	ideal	ADJ
ejpam-3538	339	17	and	and	CCONJ
ejpam-3538	339	18	shallow	shallow	ADJ
ejpam-3538	339	19	water	water	NOUN
ejpam-3538	339	20	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-3538	339	21	.	.	PUNCT
ejpam-3538	340	1	ph.d	ph.d	PROPN
ejpam-3538	340	2	.	.	PUNCT
ejpam-3538	341	1	thesis	thesis	NOUN
ejpam-3538	341	2	,	,	PUNCT
ejpam-3538	341	3	university	university	PROPN
ejpam-3538	341	4	of	of	ADP
ejpam-3538	341	5	washington	washington	PROPN
ejpam-3538	341	6	,	,	PUNCT
ejpam-3538	341	7	washington	washington	PROPN
ejpam-3538	341	8	,	,	PUNCT
ejpam-3538	341	9	dc	dc	PROPN
ejpam-3538	341	10	,	,	PUNCT
ejpam-3538	341	11	usa	usa	PROPN
ejpam-3538	341	12	,	,	PUNCT
ejpam-3538	341	13	2002	2002	NUM
ejpam-3538	341	14	.	.	PUNCT
ejpam-3538	342	1	[	[	X
ejpam-3538	342	2	17	17	NUM
ejpam-3538	342	3	]	]	X
ejpam-3538	342	4	rossmanith	rossmanith	NOUN
ejpam-3538	342	5	,	,	PUNCT
ejpam-3538	342	6	j.a	j.a	PROPN
ejpam-3538	342	7	.	.	PROPN
ejpam-3538	342	8	a	a	DET
ejpam-3538	342	9	constrained	constrain	VERB
ejpam-3538	342	10	transport	transport	NOUN
ejpam-3538	342	11	method	method	NOUN
ejpam-3538	342	12	for	for	ADP
ejpam-3538	342	13	the	the	DET
ejpam-3538	342	14	shallow	shallow	ADJ
ejpam-3538	342	15	water	water	NOUN
ejpam-3538	342	16	mhd	mhd	NOUN
ejpam-3538	342	17	equations	equation	NOUN
ejpam-3538	342	18	.	.	PUNCT
ejpam-3538	343	1	in	in	ADP
ejpam-3538	343	2	hyperbolic	hyperbolic	ADJ
ejpam-3538	343	3	problems	problem	NOUN
ejpam-3538	343	4	:	:	PUNCT
ejpam-3538	343	5	theory	theory	NOUN
ejpam-3538	343	6	,	,	PUNCT
ejpam-3538	343	7	numerics	numeric	NOUN
ejpam-3538	343	8	,	,	PUNCT
ejpam-3538	343	9	applications	application	NOUN
ejpam-3538	343	10	;	;	PUNCT
ejpam-3538	343	11	springer	springer	NOUN
ejpam-3538	343	12	:	:	PUNCT
ejpam-3538	343	13	berlin	berlin	PROPN
ejpam-3538	343	14	/	/	SYM
ejpam-3538	343	15	heidelberg	heidelberg	PROPN
ejpam-3538	343	16	,	,	PUNCT
ejpam-3538	343	17	germany	germany	PROPN
ejpam-3538	343	18	,	,	PUNCT
ejpam-3538	343	19	2003	2003	NUM
ejpam-3538	343	20	;	;	PUNCT
ejpam-3538	343	21	pp	pp	ADP
ejpam-3538	343	22	.	.	PUNCT
ejpam-3538	344	1	851–860	851–860	NUM
ejpam-3538	344	2	.	.	PUNCT
ejpam-3538	345	1	[	[	X
ejpam-3538	345	2	18	18	NUM
ejpam-3538	345	3	]	]	PUNCT
ejpam-3538	345	4	shen	shen	NOUN
ejpam-3538	345	5	,	,	PUNCT
ejpam-3538	345	6	h.	h.	PROPN
ejpam-3538	345	7	,	,	PUNCT
ejpam-3538	345	8	wen	wen	PROPN
ejpam-3538	345	9	,	,	PUNCT
ejpam-3538	345	10	c.y	c.y	PROPN
ejpam-3538	345	11	.	.	PROPN
ejpam-3538	345	12	and	and	CCONJ
ejpam-3538	345	13	zhang	zhang	PROPN
ejpam-3538	345	14	,	,	PUNCT
ejpam-3538	345	15	d.l	d.l	PROPN
ejpam-3538	345	16	.	.	PROPN
ejpam-3538	345	17	a	a	DET
ejpam-3538	345	18	characteristic	characteristic	ADJ
ejpam-3538	345	19	spacetime	spacetime	NOUN
ejpam-3538	345	20	conservation	conservation	NOUN
ejpam-3538	345	21	element	element	NOUN
ejpam-3538	345	22	and	and	CCONJ
ejpam-3538	345	23	solution	solution	NOUN
ejpam-3538	345	24	element	element	NOUN
ejpam-3538	345	25	method	method	NOUN
ejpam-3538	345	26	for	for	ADP
ejpam-3538	345	27	conservation	conservation	NOUN
ejpam-3538	345	28	laws	law	NOUN
ejpam-3538	345	29	.	.	PUNCT
ejpam-3538	346	1	comput	comput	NOUN
ejpam-3538	346	2	.	.	PUNCT
ejpam-3538	347	1	phys	phy	NOUN
ejpam-3538	347	2	.	.	PUNCT
ejpam-3538	348	1	j.	j.	PROPN
ejpam-3538	348	2	2015	2015	NUM
ejpam-3538	348	3	,	,	PUNCT
ejpam-3538	348	4	288	288	NUM
ejpam-3538	348	5	,	,	PUNCT
ejpam-3538	348	6	168	168	NUM
ejpam-3538	348	7	–	–	SYM
ejpam-3538	348	8	182	182	NUM
ejpam-3538	348	9	.	.	PUNCT
ejpam-3538	349	1	[	[	X
ejpam-3538	349	2	19	19	NUM
ejpam-3538	349	3	]	]	PUNCT
ejpam-3538	349	4	shen	shen	NOUN
ejpam-3538	349	5	,	,	PUNCT
ejpam-3538	349	6	h.	h.	PROPN
ejpam-3538	349	7	and	and	CCONJ
ejpam-3538	349	8	wen	wen	PROPN
ejpam-3538	349	9	,	,	PUNCT
ejpam-3538	349	10	c.y	c.y	PROPN
ejpam-3538	349	11	.	.	PROPN
ejpam-3538	349	12	a	a	DET
ejpam-3538	349	13	characteristic	characteristic	ADJ
ejpam-3538	349	14	spacetime	spacetime	NOUN
ejpam-3538	349	15	conservation	conservation	NOUN
ejpam-3538	349	16	element	element	NOUN
ejpam-3538	349	17	and	and	CCONJ
ejpam-3538	349	18	solution	solution	NOUN
ejpam-3538	349	19	element	element	NOUN
ejpam-3538	349	20	method	method	NOUN
ejpam-3538	349	21	for	for	ADP
ejpam-3538	349	22	conservation	conservation	NOUN
ejpam-3538	349	23	laws	law	NOUN
ejpam-3538	349	24	ii	ii	PROPN
ejpam-3538	349	25	.	.	PUNCT
ejpam-3538	349	26	multidimensional	multidimensional	ADJ
ejpam-3538	349	27	extension	extension	NOUN
ejpam-3538	349	28	.	.	PUNCT
ejpam-3538	350	1	comput	comput	NOUN
ejpam-3538	350	2	.	.	PUNCT
ejpam-3538	351	1	phys	phy	NOUN
ejpam-3538	351	2	.	.	PUNCT
ejpam-3538	352	1	j.	j.	PROPN
ejpam-3538	352	2	2016	2016	NUM
ejpam-3538	352	3	,	,	PUNCT
ejpam-3538	352	4	305	305	NUM
ejpam-3538	352	5	,	,	PUNCT
ejpam-3538	352	6	775–792	775–792	NUM
ejpam-3538	352	7	.	.	PUNCT
ejpam-3538	353	1	[	[	X
ejpam-3538	353	2	20	20	NUM
ejpam-3538	353	3	]	]	X
ejpam-3538	353	4	tth	tth	PROPN
ejpam-3538	353	5	,	,	PUNCT
ejpam-3538	353	6	gbor	gbor	NOUN
ejpam-3538	353	7	.	.	PUNCT
ejpam-3538	353	8	”	"	PUNCT
ejpam-3538	354	1	the	the	DET
ejpam-3538	354	2	5·b	5·b	NUM
ejpam-3538	354	3	constraint	constraint	NOUN
ejpam-3538	354	4	in	in	ADP
ejpam-3538	354	5	shock	shock	NOUN
ejpam-3538	354	6	-	-	PUNCT
ejpam-3538	354	7	capturing	capture	VERB
ejpam-3538	354	8	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-3538	354	9	codes	code	NOUN
ejpam-3538	354	10	.	.	PUNCT
ejpam-3538	354	11	”	"	PUNCT
ejpam-3538	354	12	journal	journal	NOUN
ejpam-3538	354	13	of	of	ADP
ejpam-3538	354	14	computational	computational	ADJ
ejpam-3538	354	15	physics	physic	NOUN
ejpam-3538	354	16	161	161	NUM
ejpam-3538	354	17	,	,	PUNCT
ejpam-3538	354	18	no	no	INTJ
ejpam-3538	354	19	.	.	NOUN
ejpam-3538	354	20	2	2	NUM
ejpam-3538	354	21	(	(	PUNCT
ejpam-3538	354	22	2000	2000	NUM
ejpam-3538	354	23	):	):	PUNCT
ejpam-3538	354	24	605	605	NUM
ejpam-3538	354	25	-	-	SYM
ejpam-3538	354	26	652	652	NUM
ejpam-3538	354	27	.	.	PUNCT
ejpam-3538	355	1	[	[	X
ejpam-3538	355	2	21	21	NUM
ejpam-3538	355	3	]	]	X
ejpam-3538	355	4	wang	wang	PROPN
ejpam-3538	355	5	,	,	PUNCT
ejpam-3538	355	6	gang	gang	PROPN
ejpam-3538	355	7	,	,	PUNCT
ejpam-3538	355	8	deliang	deliang	PROPN
ejpam-3538	355	9	zhang	zhang	PROPN
ejpam-3538	355	10	,	,	PUNCT
ejpam-3538	355	11	kaixin	kaixin	PROPN
ejpam-3538	355	12	liu	liu	PROPN
ejpam-3538	355	13	,	,	PUNCT
ejpam-3538	355	14	and	and	CCONJ
ejpam-3538	355	15	jingtao	jingtao	PROPN
ejpam-3538	355	16	wang	wang	PROPN
ejpam-3538	355	17	.	.	PUNCT
ejpam-3538	355	18	”	"	PUNCT
ejpam-3538	355	19	an	an	DET
ejpam-3538	355	20	improved	improve	VERB
ejpam-3538	355	21	ce	ce	PROPN
ejpam-3538	355	22	/	/	SYM
ejpam-3538	355	23	se	se	PROPN
ejpam-3538	355	24	scheme	scheme	NOUN
ejpam-3538	355	25	for	for	ADP
ejpam-3538	355	26	numerical	numerical	ADJ
ejpam-3538	355	27	simulation	simulation	NOUN
ejpam-3538	355	28	of	of	ADP
ejpam-3538	355	29	gaseous	gaseous	ADJ
ejpam-3538	355	30	and	and	CCONJ
ejpam-3538	355	31	two	two	NUM
ejpam-3538	355	32	-	-	PUNCT
ejpam-3538	355	33	phase	phase	NOUN
ejpam-3538	355	34	detonations	detonation	NOUN
ejpam-3538	355	35	.	.	PUNCT
ejpam-3538	355	36	”	"	PUNCT
ejpam-3538	355	37	computers	computer	NOUN
ejpam-3538	355	38	and	and	CCONJ
ejpam-3538	355	39	fluids	fluid	NOUN
ejpam-3538	355	40	39	39	NUM
ejpam-3538	355	41	,	,	PUNCT
ejpam-3538	355	42	no	no	INTJ
ejpam-3538	355	43	.	.	NOUN
ejpam-3538	355	44	1	1	NUM
ejpam-3538	355	45	(	(	PUNCT
ejpam-3538	355	46	2010	2010	NUM
ejpam-3538	355	47	):	):	PUNCT
ejpam-3538	355	48	168	168	NUM
ejpam-3538	355	49	-	-	SYM
ejpam-3538	355	50	177	177	NUM
ejpam-3538	355	51	.	.	PUNCT
ejpam-3538	356	1	[	[	X
ejpam-3538	356	2	22	22	NUM
ejpam-3538	356	3	]	]	X
ejpam-3538	356	4	winters	winter	NOUN
ejpam-3538	356	5	,	,	PUNCT
ejpam-3538	356	6	a.r	a.r	PROPN
ejpam-3538	356	7	.	.	PROPN
ejpam-3538	356	8	;	;	PUNCT
ejpam-3538	356	9	gassner	gassner	PROPN
ejpam-3538	356	10	,	,	PUNCT
ejpam-3538	356	11	g.j	g.j	PROPN
ejpam-3538	356	12	.	.	PROPN
ejpam-3538	356	13	an	an	DET
ejpam-3538	356	14	entropy	entropy	PROPN
ejpam-3538	356	15	stable	stable	ADJ
ejpam-3538	356	16	finite	finite	PROPN
ejpam-3538	356	17	volume	volume	NOUN
ejpam-3538	356	18	scheme	scheme	NOUN
ejpam-3538	356	19	for	for	ADP
ejpam-3538	356	20	the	the	DET
ejpam-3538	356	21	equations	equation	NOUN
ejpam-3538	356	22	of	of	ADP
ejpam-3538	356	23	shallow	shallow	ADJ
ejpam-3538	356	24	water	water	NOUN
ejpam-3538	356	25	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-3538	356	26	.	.	PUNCT
ejpam-3538	357	1	j.	j.	PROPN
ejpam-3538	357	2	sci	sci	PROPN
ejpam-3538	357	3	.	.	PUNCT
ejpam-3538	358	1	comput	comput	PROPN
ejpam-3538	358	2	.	.	PUNCT
ejpam-3538	359	1	2016	2016	NUM
ejpam-3538	359	2	,	,	PUNCT
ejpam-3538	359	3	67	67	NUM
ejpam-3538	359	4	,	,	PUNCT
ejpam-3538	359	5	514–539	514–539	NUM
ejpam-3538	359	6	.	.	PUNCT
ejpam-3538	360	1	references	reference	NOUN
ejpam-3538	360	2	1482	1482	NUM
ejpam-3538	361	1	[	[	X
ejpam-3538	361	2	23	23	NUM
ejpam-3538	361	3	]	]	X
ejpam-3538	361	4	yang	yang	PROPN
ejpam-3538	361	5	,	,	PUNCT
ejpam-3538	361	6	y.	y.	PROPN
ejpam-3538	361	7	;	;	PUNCT
ejpam-3538	361	8	feng	feng	PROPN
ejpam-3538	361	9	,	,	PUNCT
ejpam-3538	361	10	x.s	x.s	PROPN
ejpam-3538	361	11	.	.	PROPN
ejpam-3538	361	12	;	;	PUNCT
ejpam-3538	361	13	jiang	jiang	PROPN
ejpam-3538	361	14	,	,	PUNCT
ejpam-3538	361	15	c.w	c.w	PROPN
ejpam-3538	361	16	.	.	PROPN
ejpam-3538	361	17	a	a	DET
ejpam-3538	361	18	high	high	ADJ
ejpam-3538	361	19	-	-	PUNCT
ejpam-3538	361	20	order	order	NOUN
ejpam-3538	361	21	cese	cese	NOUN
ejpam-3538	361	22	scheme	scheme	NOUN
ejpam-3538	361	23	with	with	ADP
ejpam-3538	361	24	a	a	DET
ejpam-3538	361	25	new	new	ADJ
ejpam-3538	361	26	divergencefree	divergencefree	NOUN
ejpam-3538	361	27	method	method	NOUN
ejpam-3538	361	28	for	for	ADP
ejpam-3538	361	29	mhd	mhd	PROPN
ejpam-3538	361	30	numerical	numerical	PROPN
ejpam-3538	361	31	simulation	simulation	PROPN
ejpam-3538	361	32	.	.	PUNCT
ejpam-3538	362	1	j.	j.	PROPN
ejpam-3538	362	2	comput	comput	PROPN
ejpam-3538	362	3	.	.	PUNCT
ejpam-3538	363	1	phys	phy	NOUN
ejpam-3538	363	2	.	.	PUNCT
ejpam-3538	364	1	2017	2017	NUM
ejpam-3538	364	2	,	,	PUNCT
ejpam-3538	364	3	349	349	NUM
ejpam-3538	364	4	,	,	PUNCT
ejpam-3538	364	5	561–581	561–581	NUM
ejpam-3538	364	6	.	.	PUNCT
ejpam-3538	365	1	[	[	X
ejpam-3538	365	2	24	24	NUM
ejpam-3538	365	3	]	]	SYM
ejpam-3538	365	4	yang	yang	PROPN
ejpam-3538	365	5	,	,	PUNCT
ejpam-3538	365	6	y.	y.	PROPN
ejpam-3538	365	7	,	,	PUNCT
ejpam-3538	365	8	feng	feng	PROPN
ejpam-3538	365	9	,	,	PUNCT
ejpam-3538	365	10	x.s	x.s	PROPN
ejpam-3538	365	11	.	.	PROPN
ejpam-3538	365	12	and	and	CCONJ
ejpam-3538	365	13	jiang	jiang	PROPN
ejpam-3538	365	14	,	,	PUNCT
ejpam-3538	365	15	c.w	c.w	PROPN
ejpam-3538	365	16	.	.	PROPN
ejpam-3538	365	17	an	an	DET
ejpam-3538	365	18	upwind	upwind	NOUN
ejpam-3538	365	19	cese	cese	NOUN
ejpam-3538	365	20	scheme	scheme	NOUN
ejpam-3538	365	21	for	for	ADP
ejpam-3538	365	22	2d	2d	NUM
ejpam-3538	365	23	and	and	CCONJ
ejpam-3538	365	24	3d	3d	NUM
ejpam-3538	365	25	mhd	mhd	PROPN
ejpam-3538	365	26	numerical	numerical	PROPN
ejpam-3538	365	27	simulation	simulation	PROPN
ejpam-3538	365	28	in	in	ADP
ejpam-3538	365	29	general	general	ADJ
ejpam-3538	365	30	curvilinear	curvilinear	PROPN
ejpam-3538	365	31	coordinates	coordinate	NOUN
ejpam-3538	365	32	.	.	PUNCT
ejpam-3538	366	1	comput	comput	NOUN
ejpam-3538	366	2	.	.	PUNCT
ejpam-3538	367	1	phys	phy	NOUN
ejpam-3538	367	2	.	.	PUNCT
ejpam-3538	368	1	j.	j.	PROPN
ejpam-3538	368	2	2018	2018	PROPN
ejpam-3538	368	3	,	,	PUNCT
ejpam-3538	368	4	371	371	NUM
ejpam-3538	368	5	,	,	PUNCT
ejpam-3538	368	6	850–869	850–869	NUM
ejpam-3538	368	7	.	.	PUNCT
ejpam-3538	369	1	[	[	X
ejpam-3538	369	2	25	25	NUM
ejpam-3538	369	3	]	]	SYM
ejpam-3538	369	4	yu	yu	PROPN
ejpam-3538	369	5	,	,	PUNCT
ejpam-3538	369	6	sheng	sheng	PROPN
ejpam-3538	369	7	-	-	PUNCT
ejpam-3538	369	8	tao	tao	PROPN
ejpam-3538	369	9	john	john	PROPN
ejpam-3538	369	10	,	,	PUNCT
ejpam-3538	369	11	lixiang	lixiang	PROPN
ejpam-3538	369	12	yang	yang	PROPN
ejpam-3538	369	13	,	,	PUNCT
ejpam-3538	369	14	robert	robert	PROPN
ejpam-3538	369	15	l.	l.	PROPN
ejpam-3538	369	16	lowe	lowe	PROPN
ejpam-3538	369	17	,	,	PUNCT
ejpam-3538	369	18	and	and	CCONJ
ejpam-3538	369	19	stephen	stephen	PROPN
ejpam-3538	369	20	e.	e.	PROPN
ejpam-3538	369	21	bechtel	bechtel	PROPN
ejpam-3538	369	22	.	.	PUNCT
ejpam-3538	369	23	”	"	PUNCT
ejpam-3538	369	24	numerical	numerical	PROPN
ejpam-3538	369	25	simulation	simulation	NOUN
ejpam-3538	369	26	of	of	ADP
ejpam-3538	369	27	linear	linear	PROPN
ejpam-3538	369	28	and	and	CCONJ
ejpam-3538	369	29	nonlinear	nonlinear	ADJ
ejpam-3538	369	30	waves	wave	NOUN
ejpam-3538	369	31	in	in	ADP
ejpam-3538	369	32	hypoelastic	hypoelastic	ADJ
ejpam-3538	369	33	solids	solid	NOUN
ejpam-3538	369	34	by	by	ADP
ejpam-3538	369	35	the	the	DET
ejpam-3538	369	36	cese	cese	ADJ
ejpam-3538	369	37	method	method	NOUN
ejpam-3538	369	38	.	.	PUNCT
ejpam-3538	369	39	”	"	PUNCT
ejpam-3538	370	1	wave	wave	NOUN
ejpam-3538	370	2	motion	motion	NOUN
ejpam-3538	370	3	47	47	NUM
ejpam-3538	370	4	,	,	PUNCT
ejpam-3538	370	5	no	no	INTJ
ejpam-3538	370	6	.	.	NOUN
ejpam-3538	370	7	3	3	NUM
ejpam-3538	370	8	(	(	PUNCT
ejpam-3538	370	9	2010	2010	NUM
ejpam-3538	370	10	):	):	PUNCT
ejpam-3538	370	11	168	168	NUM
ejpam-3538	370	12	-	-	SYM
ejpam-3538	370	13	182	182	NUM
ejpam-3538	370	14	.	.	PUNCT
ejpam-3538	371	1	[	[	X
ejpam-3538	371	2	26	26	NUM
ejpam-3538	371	3	]	]	X
ejpam-3538	371	4	zhang	zhang	PROPN
ejpam-3538	371	5	,	,	PUNCT
ejpam-3538	371	6	m.	m.	NOUN
ejpam-3538	371	7	,	,	PUNCT
ejpam-3538	371	8	yu	yu	PROPN
ejpam-3538	371	9	,	,	PUNCT
ejpam-3538	371	10	s.t.j	s.t.j	NOUN
ejpam-3538	371	11	.	.	PROPN
ejpam-3538	371	12	,	,	PUNCT
ejpam-3538	371	13	lin	lin	PROPN
ejpam-3538	371	14	,	,	PUNCT
ejpam-3538	371	15	s.c.h	s.c.h	NOUN
ejpam-3538	371	16	.	.	PROPN
ejpam-3538	371	17	,	,	PUNCT
ejpam-3538	371	18	chang	chang	PROPN
ejpam-3538	371	19	,	,	PUNCT
ejpam-3538	371	20	s.c	s.c	PROPN
ejpam-3538	371	21	.	.	PROPN
ejpam-3538	371	22	and	and	CCONJ
ejpam-3538	371	23	blankson	blankson	NOUN
ejpam-3538	371	24	,	,	PUNCT
ejpam-3538	371	25	i.	i.	NOUN
ejpam-3538	371	26	solving	solve	VERB
ejpam-3538	371	27	the	the	DET
ejpam-3538	371	28	mhd	mhd	NOUN
ejpam-3538	371	29	equations	equation	NOUN
ejpam-3538	371	30	by	by	ADP
ejpam-3538	371	31	the	the	DET
ejpam-3538	371	32	spacetime	spacetime	PROPN
ejpam-3538	371	33	conservation	conservation	PROPN
ejpam-3538	371	34	element	element	NOUN
ejpam-3538	371	35	and	and	CCONJ
ejpam-3538	371	36	solution	solution	NOUN
ejpam-3538	371	37	element	element	NOUN
ejpam-3538	371	38	method	method	NOUN
ejpam-3538	371	39	.	.	PUNCT
ejpam-3538	372	1	comput	comput	NOUN
ejpam-3538	372	2	.	.	PUNCT
ejpam-3538	373	1	phys	phy	NOUN
ejpam-3538	373	2	.	.	PUNCT
ejpam-3538	374	1	j.	j.	PROPN
ejpam-3538	374	2	2006	2006	NUM
ejpam-3538	374	3	,	,	PUNCT
ejpam-3538	374	4	214	214	NUM
ejpam-3538	374	5	,	,	PUNCT
ejpam-3538	374	6	599–617	599–617	NUM
ejpam-3538	374	7	.	.	PUNCT