id	sid	tid	token	lemma	pos
fumecheng-1292	1	1	plane	plane	NOUN
fumecheng-1292	1	2	thermoelastic	thermoelastic	ADJ
fumecheng-1292	1	3	waves	wave	NOUN
fumecheng-1292	1	4	in	in	ADP
fumecheng-1292	1	5	infinite	infinite	ADJ
fumecheng-1292	1	6	half	half	ADJ
fumecheng-1292	1	7	-	-	PUNCT
fumecheng-1292	1	8	space	space	NOUN
fumecheng-1292	1	9	caused	cause	VERB
fumecheng-1292	1	10	facta	facta	PROPN
fumecheng-1292	1	11	universitatis	universitatis	PROPN
fumecheng-1292	1	12	series	series	NOUN
fumecheng-1292	1	13	:	:	PUNCT
fumecheng-1292	1	14	mechanical	mechanical	ADJ
fumecheng-1292	1	15	engineering	engineering	NOUN
fumecheng-1292	1	16	vol	vol	NOUN
fumecheng-1292	1	17	.	.	PUNCT
fumecheng-1292	2	1	14	14	NUM
fumecheng-1292	2	2	,	,	PUNCT
fumecheng-1292	2	3	no	no	DET
fumecheng-1292	2	4	2	2	NUM
fumecheng-1292	2	5	,	,	PUNCT
fumecheng-1292	2	6	2016	2016	NUM
fumecheng-1292	2	7	,	,	PUNCT
fumecheng-1292	2	8	pp	pp	ADJ
fumecheng-1292	2	9	.	.	PUNCT
fumecheng-1292	3	1	179	179	NUM
fumecheng-1292	3	2	197	197	NUM
fumecheng-1292	3	3	original	original	ADJ
fumecheng-1292	3	4	scientific	scientific	ADJ
fumecheng-1292	3	5	paper	paper	NOUN
fumecheng-1292	3	6	instability	instability	NOUN
fumecheng-1292	3	7	of	of	ADP
fumecheng-1292	3	8	the	the	DET
fumecheng-1292	3	9	rayleigh	rayleigh	PROPN
fumecheng-1292	3	10	-	-	PUNCT
fumecheng-1292	3	11	benard	benard	NOUN
fumecheng-1292	3	12	convection	convection	NOUN
fumecheng-1292	3	13	for	for	ADP
fumecheng-1292	3	14	inclined	inclined	ADJ
fumecheng-1292	3	15	lower	low	ADJ
fumecheng-1292	3	16	wall	wall	NOUN
fumecheng-1292	3	17	with	with	ADP
fumecheng-1292	3	18	temperature	temperature	NOUN
fumecheng-1292	3	19	variation	variation	NOUN
fumecheng-1292	3	20	udc	udc	NOUN
fumecheng-1292	3	21	536.2	536.2	NUM
fumecheng-1292	3	22	sadoon	sadoon	ADV
fumecheng-1292	3	23	ayed	aye	VERB
fumecheng-1292	3	24	1	1	NUM
fumecheng-1292	3	25	,	,	PUNCT
fumecheng-1292	3	26	gradimir	gradimir	VERB
fumecheng-1292	3	27	ilić	ilić	ADJ
fumecheng-1292	3	28	2	2	NUM
fumecheng-1292	3	29	,	,	PUNCT
fumecheng-1292	3	30	predrag	predrag	PROPN
fumecheng-1292	3	31	živković	živković	PROPN
fumecheng-1292	3	32	2	2	NUM
fumecheng-1292	3	33	,	,	PUNCT
fumecheng-1292	3	34	mića	mića	VERB
fumecheng-1292	3	35	vukić	vukić	NOUN
fumecheng-1292	3	36	2	2	NUM
fumecheng-1292	3	37	,	,	PUNCT
fumecheng-1292	3	38	mladen	mladen	PROPN
fumecheng-1292	3	39	tomić	tomić	NOUN
fumecheng-1292	3	40	3	3	NUM
fumecheng-1292	3	41	1university	1university	NUM
fumecheng-1292	3	42	of	of	ADP
fumecheng-1292	3	43	technology	technology	NOUN
fumecheng-1292	3	44	,	,	PUNCT
fumecheng-1292	3	45	department	department	NOUN
fumecheng-1292	3	46	of	of	ADP
fumecheng-1292	3	47	mechanical	mechanical	ADJ
fumecheng-1292	3	48	engineering	engineering	NOUN
fumecheng-1292	3	49	,	,	PUNCT
fumecheng-1292	3	50	baghdad	baghdad	PROPN
fumecheng-1292	3	51	,	,	PUNCT
fumecheng-1292	3	52	iraq	iraq	PROPN
fumecheng-1292	3	53	2university	2university	NUM
fumecheng-1292	3	54	of	of	ADP
fumecheng-1292	3	55	niš	niš	ADP
fumecheng-1292	3	56	,	,	PUNCT
fumecheng-1292	3	57	faculty	faculty	NOUN
fumecheng-1292	3	58	of	of	ADP
fumecheng-1292	3	59	mechanical	mechanical	ADJ
fumecheng-1292	3	60	engineering	engineering	NOUN
fumecheng-1292	3	61	,	,	PUNCT
fumecheng-1292	3	62	niš	niš	NOUN
fumecheng-1292	3	63	,	,	PUNCT
fumecheng-1292	3	64	serbia	serbia	PROPN
fumecheng-1292	3	65	3college	3college	PROPN
fumecheng-1292	3	66	of	of	ADP
fumecheng-1292	3	67	applied	apply	VERB
fumecheng-1292	3	68	technical	technical	ADJ
fumecheng-1292	3	69	sciences	science	NOUN
fumecheng-1292	3	70	,	,	PUNCT
fumecheng-1292	3	71	niš	niš	NOUN
fumecheng-1292	3	72	,	,	PUNCT
fumecheng-1292	3	73	serbia	serbia	PROPN
fumecheng-1292	3	74	abstract	abstract	ADJ
fumecheng-1292	3	75	.	.	PUNCT
fumecheng-1292	4	1	this	this	DET
fumecheng-1292	4	2	paper	paper	NOUN
fumecheng-1292	4	3	deals	deal	VERB
fumecheng-1292	4	4	with	with	ADP
fumecheng-1292	4	5	an	an	DET
fumecheng-1292	4	6	analysis	analysis	NOUN
fumecheng-1292	4	7	of	of	ADP
fumecheng-1292	4	8	a	a	DET
fumecheng-1292	4	9	two	two	NUM
fumecheng-1292	4	10	-	-	PUNCT
fumecheng-1292	4	11	dimensional	dimensional	ADJ
fumecheng-1292	4	12	viscous	viscous	ADJ
fumecheng-1292	4	13	fluid	fluid	NOUN
fumecheng-1292	4	14	flow	flow	NOUN
fumecheng-1292	4	15	between	between	ADP
fumecheng-1292	4	16	the	the	DET
fumecheng-1292	4	17	two	two	NUM
fumecheng-1292	4	18	parallel	parallel	ADJ
fumecheng-1292	4	19	plates	plate	NOUN
fumecheng-1292	4	20	inclined	incline	VERB
fumecheng-1292	4	21	with	with	ADP
fumecheng-1292	4	22	respect	respect	NOUN
fumecheng-1292	4	23	to	to	ADP
fumecheng-1292	4	24	the	the	DET
fumecheng-1292	4	25	horizontal	horizontal	ADJ
fumecheng-1292	4	26	plane	plane	NOUN
fumecheng-1292	4	27	,	,	PUNCT
fumecheng-1292	4	28	where	where	SCONJ
fumecheng-1292	4	29	the	the	DET
fumecheng-1292	4	30	lower	low	ADJ
fumecheng-1292	4	31	plate	plate	NOUN
fumecheng-1292	4	32	is	be	AUX
fumecheng-1292	4	33	heated	heat	VERB
fumecheng-1292	4	34	and	and	CCONJ
fumecheng-1292	4	35	the	the	DET
fumecheng-1292	4	36	upper	upper	ADJ
fumecheng-1292	4	37	one	one	NOUN
fumecheng-1292	4	38	is	be	AUX
fumecheng-1292	4	39	cooled	cool	VERB
fumecheng-1292	4	40	.	.	PUNCT
fumecheng-1292	5	1	the	the	DET
fumecheng-1292	5	2	temperature	temperature	NOUN
fumecheng-1292	5	3	difference	difference	NOUN
fumecheng-1292	5	4	between	between	ADP
fumecheng-1292	5	5	the	the	DET
fumecheng-1292	5	6	plates	plate	NOUN
fumecheng-1292	5	7	is	be	AUX
fumecheng-1292	5	8	gradually	gradually	ADV
fumecheng-1292	5	9	increased	increase	VERB
fumecheng-1292	5	10	during	during	ADP
fumecheng-1292	5	11	a	a	DET
fumecheng-1292	5	12	certain	certain	ADJ
fumecheng-1292	5	13	time	time	NOUN
fumecheng-1292	5	14	period	period	NOUN
fumecheng-1292	5	15	after	after	ADP
fumecheng-1292	5	16	which	which	PRON
fumecheng-1292	5	17	it	it	PRON
fumecheng-1292	5	18	is	be	AUX
fumecheng-1292	5	19	temporarily	temporarily	ADV
fumecheng-1292	5	20	constant	constant	ADJ
fumecheng-1292	5	21	.	.	PUNCT
fumecheng-1292	6	1	the	the	DET
fumecheng-1292	6	2	temperature	temperature	NOUN
fumecheng-1292	6	3	distribution	distribution	NOUN
fumecheng-1292	6	4	on	on	ADP
fumecheng-1292	6	5	the	the	DET
fumecheng-1292	6	6	lower	low	ADJ
fumecheng-1292	6	7	plate	plate	NOUN
fumecheng-1292	6	8	is	be	AUX
fumecheng-1292	6	9	not	not	PART
fumecheng-1292	6	10	constant	constant	ADJ
fumecheng-1292	6	11	in	in	ADP
fumecheng-1292	6	12	x	x	NOUN
fumecheng-1292	6	13	-	-	NOUN
fumecheng-1292	6	14	direction	direction	NOUN
fumecheng-1292	6	15	,	,	PUNCT
fumecheng-1292	6	16	there	there	PRON
fumecheng-1292	6	17	is	be	VERB
fumecheng-1292	6	18	a	a	DET
fumecheng-1292	6	19	longitudinal	longitudinal	ADJ
fumecheng-1292	6	20	sinusoidal	sinusoidal	ADJ
fumecheng-1292	6	21	temperature	temperature	NOUN
fumecheng-1292	6	22	variation	variation	NOUN
fumecheng-1292	6	23	imposed	impose	VERB
fumecheng-1292	6	24	on	on	ADP
fumecheng-1292	6	25	the	the	DET
fumecheng-1292	6	26	mean	mean	ADJ
fumecheng-1292	6	27	temperature	temperature	NOUN
fumecheng-1292	6	28	.	.	PUNCT
fumecheng-1292	7	1	we	we	PRON
fumecheng-1292	7	2	have	have	AUX
fumecheng-1292	7	3	investigated	investigate	VERB
fumecheng-1292	7	4	the	the	DET
fumecheng-1292	7	5	wave	wave	NOUN
fumecheng-1292	7	6	number	number	NOUN
fumecheng-1292	7	7	and	and	CCONJ
fumecheng-1292	7	8	amplitude	amplitude	NOUN
fumecheng-1292	7	9	influence	influence	NOUN
fumecheng-1292	7	10	of	of	ADP
fumecheng-1292	7	11	this	this	DET
fumecheng-1292	7	12	variation	variation	NOUN
fumecheng-1292	7	13	on	on	ADP
fumecheng-1292	7	14	the	the	DET
fumecheng-1292	7	15	subcritical	subcritical	ADJ
fumecheng-1292	7	16	stability	stability	NOUN
fumecheng-1292	7	17	and	and	CCONJ
fumecheng-1292	7	18	the	the	DET
fumecheng-1292	7	19	onset	onset	NOUN
fumecheng-1292	7	20	of	of	ADP
fumecheng-1292	7	21	the	the	DET
fumecheng-1292	7	22	rayleigh	rayleigh	NOUN
fumecheng-1292	7	23	-	-	PUNCT
fumecheng-1292	7	24	bénard	bénard	ADJ
fumecheng-1292	7	25	convective	convective	ADJ
fumecheng-1292	7	26	cells	cell	NOUN
fumecheng-1292	7	27	,	,	PUNCT
fumecheng-1292	7	28	by	by	ADP
fumecheng-1292	7	29	direct	direct	PROPN
fumecheng-1292	7	30	numerical	numerical	PROPN
fumecheng-1292	7	31	simulation	simulation	NOUN
fumecheng-1292	7	32	of	of	ADP
fumecheng-1292	7	33	2d	2d	PROPN
fumecheng-1292	7	34	navier	navier	NOUN
fumecheng-1292	7	35	-	-	PUNCT
fumecheng-1292	7	36	stokes	stokes	PROPN
fumecheng-1292	7	37	and	and	CCONJ
fumecheng-1292	7	38	energy	energy	NOUN
fumecheng-1292	7	39	equation	equation	NOUN
fumecheng-1292	7	40	.	.	PUNCT
fumecheng-1292	8	1	key	key	ADJ
fumecheng-1292	8	2	words	word	NOUN
fumecheng-1292	8	3	:	:	PUNCT
fumecheng-1292	8	4	dns	dns	NOUN
fumecheng-1292	8	5	,	,	PUNCT
fumecheng-1292	8	6	rayleigh	rayleigh	PROPN
fumecheng-1292	8	7	number	number	NOUN
fumecheng-1292	8	8	,	,	PUNCT
fumecheng-1292	8	9	boussinesq	boussinesq	ADJ
fumecheng-1292	8	10	approximation	approximation	NOUN
fumecheng-1292	8	11	,	,	PUNCT
fumecheng-1292	8	12	inclined	inclined	ADJ
fumecheng-1292	8	13	walls	wall	NOUN
fumecheng-1292	8	14	,	,	PUNCT
fumecheng-1292	8	15	nonlinear	nonlinear	ADJ
fumecheng-1292	8	16	stability	stability	NOUN
fumecheng-1292	8	17	analysis	analysis	NOUN
fumecheng-1292	8	18	1	1	NUM
fumecheng-1292	8	19	.	.	PUNCT
fumecheng-1292	8	20	introduction	introduction	NOUN
fumecheng-1292	8	21	the	the	DET
fumecheng-1292	8	22	rayleigh	rayleigh	PROPN
fumecheng-1292	8	23	-	-	PUNCT
fumecheng-1292	8	24	bénard	bénard	PROPN
fumecheng-1292	8	25	flow	flow	NOUN
fumecheng-1292	8	26	is	be	AUX
fumecheng-1292	8	27	a	a	DET
fumecheng-1292	8	28	type	type	NOUN
fumecheng-1292	8	29	of	of	ADP
fumecheng-1292	8	30	natural	natural	ADJ
fumecheng-1292	8	31	convection	convection	NOUN
fumecheng-1292	8	32	.	.	PUNCT
fumecheng-1292	9	1	it	it	PRON
fumecheng-1292	9	2	is	be	AUX
fumecheng-1292	9	3	one	one	NUM
fumecheng-1292	9	4	of	of	ADP
fumecheng-1292	9	5	the	the	DET
fumecheng-1292	9	6	classical	classical	ADJ
fumecheng-1292	9	7	problems	problem	NOUN
fumecheng-1292	9	8	in	in	ADP
fumecheng-1292	9	9	fluid	fluid	ADJ
fumecheng-1292	9	10	mechanics	mechanic	NOUN
fumecheng-1292	9	11	where	where	SCONJ
fumecheng-1292	9	12	a	a	DET
fumecheng-1292	9	13	fluid	fluid	NOUN
fumecheng-1292	9	14	is	be	AUX
fumecheng-1292	9	15	typically	typically	ADV
fumecheng-1292	9	16	bounded	bound	VERB
fumecheng-1292	9	17	by	by	ADP
fumecheng-1292	9	18	bottom	bottom	ADJ
fumecheng-1292	9	19	and	and	CCONJ
fumecheng-1292	9	20	top	top	ADJ
fumecheng-1292	9	21	walls	wall	NOUN
fumecheng-1292	9	22	which	which	PRON
fumecheng-1292	9	23	are	be	AUX
fumecheng-1292	9	24	heated	heated	ADJ
fumecheng-1292	9	25	and	and	CCONJ
fumecheng-1292	9	26	cooled	cool	VERB
fumecheng-1292	9	27	,	,	PUNCT
fumecheng-1292	9	28	respectively	respectively	ADV
fumecheng-1292	9	29	(	(	PUNCT
fumecheng-1292	9	30	fig	fig	NOUN
fumecheng-1292	9	31	.	.	PUNCT
fumecheng-1292	10	1	(	(	PUNCT
fumecheng-1292	10	2	1	1	NUM
fumecheng-1292	10	3	)	)	PUNCT
fumecheng-1292	10	4	)	)	PUNCT
fumecheng-1292	10	5	.	.	PUNCT
fumecheng-1292	11	1	in	in	ADP
fumecheng-1292	11	2	this	this	DET
fumecheng-1292	11	3	research	research	NOUN
fumecheng-1292	11	4	,	,	PUNCT
fumecheng-1292	11	5	the	the	DET
fumecheng-1292	11	6	fluid	fluid	NOUN
fumecheng-1292	11	7	is	be	AUX
fumecheng-1292	11	8	subjected	subject	VERB
fumecheng-1292	11	9	to	to	ADP
fumecheng-1292	11	10	the	the	DET
fumecheng-1292	11	11	spatial	spatial	ADJ
fumecheng-1292	11	12	temperature	temperature	NOUN
fumecheng-1292	11	13	modulation	modulation	NOUN
fumecheng-1292	11	14	at	at	ADP
fumecheng-1292	11	15	the	the	DET
fumecheng-1292	11	16	lower	low	ADJ
fumecheng-1292	11	17	wall	wall	NOUN
fumecheng-1292	11	18	and	and	CCONJ
fumecheng-1292	11	19	a	a	DET
fumecheng-1292	11	20	small	small	ADJ
fumecheng-1292	11	21	inclination	inclination	NOUN
fumecheng-1292	11	22	of	of	ADP
fumecheng-1292	11	23	the	the	DET
fumecheng-1292	11	24	both	both	DET
fumecheng-1292	11	25	walls	wall	NOUN
fumecheng-1292	11	26	with	with	ADP
fumecheng-1292	11	27	respect	respect	NOUN
fumecheng-1292	11	28	to	to	ADP
fumecheng-1292	11	29	the	the	DET
fumecheng-1292	11	30	horizontal	horizontal	ADJ
fumecheng-1292	11	31	plane	plane	NOUN
fumecheng-1292	11	32	.	.	PUNCT
fumecheng-1292	12	1	the	the	DET
fumecheng-1292	12	2	reason	reason	NOUN
fumecheng-1292	12	3	for	for	ADP
fumecheng-1292	12	4	this	this	DET
fumecheng-1292	12	5	convection	convection	NOUN
fumecheng-1292	12	6	is	be	AUX
fumecheng-1292	12	7	the	the	DET
fumecheng-1292	12	8	temperature	temperature	NOUN
fumecheng-1292	12	9	gradient	gradient	NOUN
fumecheng-1292	12	10	in	in	ADP
fumecheng-1292	12	11	the	the	DET
fumecheng-1292	12	12	vertical	vertical	ADJ
fumecheng-1292	12	13	direction	direction	NOUN
fumecheng-1292	12	14	,	,	PUNCT
fumecheng-1292	12	15	which	which	PRON
fumecheng-1292	12	16	causes	cause	VERB
fumecheng-1292	12	17	instable	instable	ADJ
fumecheng-1292	12	18	density	density	NOUN
fumecheng-1292	12	19	stratification	stratification	NOUN
fumecheng-1292	12	20	and	and	CCONJ
fumecheng-1292	12	21	,	,	PUNCT
fumecheng-1292	12	22	consequently	consequently	ADV
fumecheng-1292	12	23	,	,	PUNCT
fumecheng-1292	12	24	the	the	DET
fumecheng-1292	12	25	fluid	fluid	ADJ
fumecheng-1292	12	26	motion	motion	NOUN
fumecheng-1292	12	27	.	.	PUNCT
fumecheng-1292	13	1	received	receive	VERB
fumecheng-1292	13	2	september	september	PROPN
fumecheng-1292	13	3	29	29	NUM
fumecheng-1292	13	4	,	,	PUNCT
fumecheng-1292	13	5	2015	2015	NUM
fumecheng-1292	13	6	/	/	SYM
fumecheng-1292	13	7	accepted	accept	VERB
fumecheng-1292	13	8	april	april	PROPN
fumecheng-1292	13	9	12	12	NUM
fumecheng-1292	13	10	,	,	PUNCT
fumecheng-1292	13	11	2016	2016	NUM
fumecheng-1292	13	12	corresponding	correspond	VERB
fumecheng-1292	13	13	author	author	NOUN
fumecheng-1292	13	14	:	:	PUNCT
fumecheng-1292	13	15	predrag	predrag	PROPN
fumecheng-1292	13	16	živković	živković	PROPN
fumecheng-1292	13	17	university	university	PROPN
fumecheng-1292	13	18	of	of	ADP
fumecheng-1292	13	19	niš	niš	PROPN
fumecheng-1292	13	20	,	,	PUNCT
fumecheng-1292	13	21	faculty	faculty	NOUN
fumecheng-1292	13	22	of	of	ADP
fumecheng-1292	13	23	mechanical	mechanical	ADJ
fumecheng-1292	13	24	engineering	engineering	NOUN
fumecheng-1292	13	25	,	,	PUNCT
fumecheng-1292	13	26	aleksandra	aleksandra	PROPN
fumecheng-1292	13	27	medvedeva	medvedeva	PROPN
fumecheng-1292	13	28	14	14	NUM
fumecheng-1292	13	29	,	,	PUNCT
fumecheng-1292	13	30	niš	niš	NOUN
fumecheng-1292	13	31	,	,	PUNCT
fumecheng-1292	13	32	serbia	serbia	PROPN
fumecheng-1292	13	33	e	e	NOUN
fumecheng-1292	13	34	-	-	NOUN
fumecheng-1292	13	35	mail	mail	NOUN
fumecheng-1292	13	36	:	:	PUNCT
fumecheng-1292	13	37	pzivkovic@masfak.ni.ac.rs	pzivkovic@masfak.ni.ac.rs	NUM
fumecheng-1292	13	38	180	180	NUM
fumecheng-1292	13	39	s.	s.	PROPN
fumecheng-1292	13	40	ayed	aye	VERB
fumecheng-1292	13	41	,	,	PUNCT
fumecheng-1292	13	42	g.	g.	PROPN
fumecheng-1292	13	43	ilić	ilić	PROPN
fumecheng-1292	13	44	,	,	PUNCT
fumecheng-1292	13	45	p.	p.	PROPN
fumecheng-1292	13	46	živković	živković	PROPN
fumecheng-1292	13	47	,	,	PUNCT
fumecheng-1292	13	48	m.	m.	NOUN
fumecheng-1292	13	49	vukić	vukić	PROPN
fumecheng-1292	13	50	,	,	PUNCT
fumecheng-1292	13	51	m.	m.	NOUN
fumecheng-1292	13	52	tomić	tomić	NOUN
fumecheng-1292	13	53	fig	fig	NOUN
fumecheng-1292	13	54	.	.	PUNCT
fumecheng-1292	14	1	1	1	NUM
fumecheng-1292	14	2	formation	formation	NOUN
fumecheng-1292	14	3	of	of	ADP
fumecheng-1292	14	4	rayleigh	rayleigh	NOUN
fumecheng-1292	14	5	-	-	PUNCT
fumecheng-1292	14	6	bénard	bénard	PROPN
fumecheng-1292	14	7	cells	cell	NOUN
fumecheng-1292	14	8	rayleigh	rayleigh	PROPN
fumecheng-1292	14	9	gave	give	VERB
fumecheng-1292	14	10	the	the	DET
fumecheng-1292	14	11	first	first	ADJ
fumecheng-1292	14	12	solution	solution	NOUN
fumecheng-1292	14	13	of	of	ADP
fumecheng-1292	14	14	the	the	DET
fumecheng-1292	14	15	problem	problem	NOUN
fumecheng-1292	14	16	of	of	ADP
fumecheng-1292	14	17	the	the	DET
fumecheng-1292	14	18	conducting	conduct	VERB
fumecheng-1292	14	19	state	state	NOUN
fumecheng-1292	14	20	stability	stability	NOUN
fumecheng-1292	14	21	when	when	SCONJ
fumecheng-1292	14	22	the	the	DET
fumecheng-1292	14	23	fluid	fluid	NOUN
fumecheng-1292	14	24	in	in	ADP
fumecheng-1292	14	25	a	a	DET
fumecheng-1292	14	26	gravitational	gravitational	ADJ
fumecheng-1292	14	27	field	field	NOUN
fumecheng-1292	14	28	is	be	AUX
fumecheng-1292	14	29	bounded	bound	VERB
fumecheng-1292	14	30	from	from	ADP
fumecheng-1292	14	31	above	above	ADP
fumecheng-1292	14	32	and	and	CCONJ
fumecheng-1292	14	33	below	below	ADV
fumecheng-1292	14	34	with	with	ADP
fumecheng-1292	14	35	constant	constant	ADJ
fumecheng-1292	14	36	but	but	CCONJ
fumecheng-1292	14	37	unequal	unequal	ADJ
fumecheng-1292	14	38	temperatures	temperature	NOUN
fumecheng-1292	14	39	.	.	PUNCT
fumecheng-1292	15	1	he	he	PRON
fumecheng-1292	15	2	obtained	obtain	VERB
fumecheng-1292	15	3	the	the	DET
fumecheng-1292	15	4	critical	critical	ADJ
fumecheng-1292	15	5	value	value	NOUN
fumecheng-1292	15	6	of	of	ADP
fumecheng-1292	15	7	a	a	DET
fumecheng-1292	15	8	dimensionless	dimensionless	NOUN
fumecheng-1292	15	9	parameter	parameter	NOUN
fumecheng-1292	15	10	at	at	ADP
fumecheng-1292	15	11	which	which	PRON
fumecheng-1292	15	12	the	the	DET
fumecheng-1292	15	13	flow	flow	NOUN
fumecheng-1292	15	14	starts	start	VERB
fumecheng-1292	15	15	.	.	PUNCT
fumecheng-1292	16	1	this	this	DET
fumecheng-1292	16	2	parameter	parameter	NOUN
fumecheng-1292	16	3	is	be	AUX
fumecheng-1292	16	4	named	name	VERB
fumecheng-1292	16	5	after	after	ADP
fumecheng-1292	16	6	him	he	PRON
fumecheng-1292	16	7	:	:	PUNCT
fumecheng-1292	16	8	the	the	DET
fumecheng-1292	16	9	rayleigh	rayleigh	PROPN
fumecheng-1292	16	10	number	number	NOUN
fumecheng-1292	16	11	.	.	PUNCT
fumecheng-1292	17	1	another	another	DET
fumecheng-1292	17	2	parameter	parameter	NOUN
fumecheng-1292	17	3	,	,	PUNCT
fumecheng-1292	17	4	which	which	PRON
fumecheng-1292	17	5	measures	measure	VERB
fumecheng-1292	17	6	the	the	DET
fumecheng-1292	17	7	relative	relative	ADJ
fumecheng-1292	17	8	strength	strength	NOUN
fumecheng-1292	17	9	of	of	ADP
fumecheng-1292	17	10	the	the	DET
fumecheng-1292	17	11	non	non	NOUN
fumecheng-1292	17	12	-	-	NOUN
fumecheng-1292	17	13	linearity	linearity	NOUN
fumecheng-1292	17	14	in	in	ADP
fumecheng-1292	17	15	the	the	DET
fumecheng-1292	17	16	momentum	momentum	NOUN
fumecheng-1292	17	17	equations	equation	NOUN
fumecheng-1292	17	18	,	,	PUNCT
fumecheng-1292	17	19	is	be	AUX
fumecheng-1292	17	20	the	the	DET
fumecheng-1292	17	21	prandtl	prandtl	NOUN
fumecheng-1292	17	22	number	number	NOUN
fumecheng-1292	17	23	.	.	PUNCT
fumecheng-1292	18	1	they	they	PRON
fumecheng-1292	18	2	are	be	AUX
fumecheng-1292	18	3	defined	define	VERB
fumecheng-1292	18	4	in	in	ADP
fumecheng-1292	18	5	the	the	DET
fumecheng-1292	18	6	following	following	ADJ
fumecheng-1292	18	7	way	way	NOUN
fumecheng-1292	18	8	:	:	PUNCT
fumecheng-1292	18	9	3	3	NUM
fumecheng-1292	18	10	1	1	NUM
fumecheng-1292	18	11	2	2	NUM
fumecheng-1292	18	12	(	(	PUNCT
fumecheng-1292	18	13	)	)	PUNCT
fumecheng-1292	18	14	a	a	DET
fumecheng-1292	18	15	g	g	NOUN
fumecheng-1292	18	16	t	t	PROPN
fumecheng-1292	18	17	t	t	NOUN
fumecheng-1292	18	18	l	l	NOUN
fumecheng-1292	18	19	r	r	NOUN
fumecheng-1292	18	20	a	a	DET
fumecheng-1292	18	21			PROPN
fumecheng-1292	18	22			ADJ
fumecheng-1292	18	23			PROPN
fumecheng-1292	18	24			NUM
fumecheng-1292	18	25	;	;	PUNCT
fumecheng-1292	18	26	rp	rp	ADP
fumecheng-1292	18	27	a	a	DET
fumecheng-1292	18	28			ADJ
fumecheng-1292	18	29			NOUN
fumecheng-1292	18	30	(	(	PUNCT
fumecheng-1292	18	31	1	1	NUM
fumecheng-1292	18	32	)	)	PUNCT
fumecheng-1292	18	33	where	where	SCONJ
fumecheng-1292	18	34	g	g	PROPN
fumecheng-1292	18	35	is	be	AUX
fumecheng-1292	18	36	gravitational	gravitational	ADJ
fumecheng-1292	18	37	acceleration	acceleration	NOUN
fumecheng-1292	18	38	,	,	PUNCT
fumecheng-1292	18	39	β	β	X
fumecheng-1292	18	40	is	be	AUX
fumecheng-1292	18	41	thermal	thermal	ADJ
fumecheng-1292	18	42	expansion	expansion	NOUN
fumecheng-1292	18	43	coefficient	coefficient	NOUN
fumecheng-1292	18	44	,	,	PUNCT
fumecheng-1292	18	45	t1	t1	PROPN
fumecheng-1292	18	46	is	be	AUX
fumecheng-1292	18	47	temperature	temperature	NOUN
fumecheng-1292	18	48	of	of	ADP
fumecheng-1292	18	49	lower	low	ADJ
fumecheng-1292	18	50	plate	plate	NOUN
fumecheng-1292	18	51	and	and	CCONJ
fumecheng-1292	18	52	t2	t2	NOUN
fumecheng-1292	18	53	is	be	AUX
fumecheng-1292	18	54	the	the	DET
fumecheng-1292	18	55	temperature	temperature	NOUN
fumecheng-1292	18	56	of	of	ADP
fumecheng-1292	18	57	upper	upper	ADJ
fumecheng-1292	18	58	plate	plate	NOUN
fumecheng-1292	18	59	,	,	PUNCT
fumecheng-1292	19	1	l	l	NOUN
fumecheng-1292	19	2	=	=	SYM
fumecheng-1292	19	3	2h	2h	NUM
fumecheng-1292	19	4	is	be	AUX
fumecheng-1292	19	5	the	the	DET
fumecheng-1292	19	6	distance	distance	NOUN
fumecheng-1292	19	7	between	between	ADP
fumecheng-1292	19	8	the	the	DET
fumecheng-1292	19	9	plates	plate	NOUN
fumecheng-1292	19	10	,	,	PUNCT
fumecheng-1292	19	11	υ	υ	PROPN
fumecheng-1292	19	12	is	be	AUX
fumecheng-1292	19	13	kinematic	kinematic	ADJ
fumecheng-1292	19	14	viscosity	viscosity	NOUN
fumecheng-1292	19	15	and	and	CCONJ
fumecheng-1292	19	16	a	a	PRON
fumecheng-1292	19	17	is	be	AUX
fumecheng-1292	19	18	thermal	thermal	ADJ
fumecheng-1292	19	19	diffusivity	diffusivity	NOUN
fumecheng-1292	19	20	.	.	PUNCT
fumecheng-1292	20	1	this	this	PRON
fumecheng-1292	20	2	is	be	AUX
fumecheng-1292	20	3	a	a	DET
fumecheng-1292	20	4	non	non	ADJ
fumecheng-1292	20	5	-	-	ADJ
fumecheng-1292	20	6	dimensional	dimensional	ADJ
fumecheng-1292	20	7	parameter	parameter	NOUN
fumecheng-1292	20	8	for	for	ADP
fumecheng-1292	20	9	the	the	DET
fumecheng-1292	20	10	measure	measure	NOUN
fumecheng-1292	20	11	of	of	ADP
fumecheng-1292	20	12	the	the	DET
fumecheng-1292	20	13	buoyancy	buoyancy	NOUN
fumecheng-1292	20	14	/	/	SYM
fumecheng-1292	20	15	diffusive	diffusive	ADJ
fumecheng-1292	20	16	forces	force	NOUN
fumecheng-1292	20	17	ratio	ratio	NOUN
fumecheng-1292	20	18	.	.	PUNCT
fumecheng-1292	21	1	in	in	ADP
fumecheng-1292	21	2	the	the	DET
fumecheng-1292	21	3	above	above	ADJ
fumecheng-1292	21	4	definition	definition	NOUN
fumecheng-1292	21	5	of	of	ADP
fumecheng-1292	21	6	the	the	DET
fumecheng-1292	21	7	rayleigh	rayleigh	PROPN
fumecheng-1292	21	8	number	number	NOUN
fumecheng-1292	21	9	,	,	PUNCT
fumecheng-1292	21	10	the	the	DET
fumecheng-1292	21	11	fluid	fluid	ADJ
fumecheng-1292	21	12	properties	property	NOUN
fumecheng-1292	21	13	are	be	AUX
fumecheng-1292	21	14	calculated	calculate	VERB
fumecheng-1292	21	15	at	at	ADP
fumecheng-1292	21	16	mean	mean	ADJ
fumecheng-1292	21	17	temperature	temperature	NOUN
fumecheng-1292	21	18	tm	tm	NOUN
fumecheng-1292	21	19	=	=	SYM
fumecheng-1292	21	20	(	(	PUNCT
fumecheng-1292	21	21	t1+t2)/2	t1+t2)/2	PROPN
fumecheng-1292	21	22	as	as	ADP
fumecheng-1292	21	23	the	the	DET
fumecheng-1292	21	24	best	good	ADJ
fumecheng-1292	21	25	reference	reference	NOUN
fumecheng-1292	21	26	temperature	temperature	NOUN
fumecheng-1292	21	27	.	.	PUNCT
fumecheng-1292	22	1	in	in	ADP
fumecheng-1292	22	2	our	our	PRON
fumecheng-1292	22	3	calculation	calculation	NOUN
fumecheng-1292	22	4	t1	t1	NOUN
fumecheng-1292	22	5	is	be	AUX
fumecheng-1292	22	6	a	a	DET
fumecheng-1292	22	7	temporal	temporal	ADJ
fumecheng-1292	22	8	and	and	CCONJ
fumecheng-1292	22	9	x	x	NOUN
fumecheng-1292	22	10	-	-	NOUN
fumecheng-1292	22	11	direction	direction	ADJ
fumecheng-1292	22	12	variable	variable	ADJ
fumecheng-1292	22	13	function	function	NOUN
fumecheng-1292	22	14	as	as	ADP
fumecheng-1292	22	15	,	,	PUNCT
fumecheng-1292	22	16	according	accord	VERB
fumecheng-1292	22	17	to	to	ADP
fumecheng-1292	22	18	eq	eq	PROPN
fumecheng-1292	22	19	.	.	PUNCT
fumecheng-1292	23	1	(	(	PUNCT
fumecheng-1292	23	2	1	1	NUM
fumecheng-1292	23	3	)	)	PUNCT
fumecheng-1292	23	4	,	,	PUNCT
fumecheng-1292	23	5	is	be	AUX
fumecheng-1292	23	6	the	the	DET
fumecheng-1292	23	7	ra	ra	PROPN
fumecheng-1292	23	8	number	number	NOUN
fumecheng-1292	23	9	.	.	PUNCT
fumecheng-1292	24	1	the	the	DET
fumecheng-1292	24	2	value	value	NOUN
fumecheng-1292	24	3	of	of	ADP
fumecheng-1292	24	4	the	the	DET
fumecheng-1292	24	5	critical	critical	ADJ
fumecheng-1292	24	6	rayleigh	rayleigh	NOUN
fumecheng-1292	24	7	number	number	NOUN
fumecheng-1292	24	8	according	accord	VERB
fumecheng-1292	24	9	to	to	ADP
fumecheng-1292	24	10	the	the	DET
fumecheng-1292	24	11	linear	linear	ADJ
fumecheng-1292	24	12	stability	stability	NOUN
fumecheng-1292	24	13	theory	theory	NOUN
fumecheng-1292	24	14	is	be	AUX
fumecheng-1292	24	15	rac	rac	PROPN
fumecheng-1292	24	16	=	=	SYM
fumecheng-1292	24	17	1708	1708	NUM
fumecheng-1292	24	18	at	at	ADP
fumecheng-1292	24	19	wave	wave	NOUN
fumecheng-1292	24	20	number	number	NOUN
fumecheng-1292	24	21	qc	qc	PROPN
fumecheng-1292	24	22	=	=	NOUN
fumecheng-1292	24	23	3.117	3.117	NUM
fumecheng-1292	24	24	.	.	PUNCT
fumecheng-1292	25	1	beyond	beyond	ADP
fumecheng-1292	25	2	this	this	DET
fumecheng-1292	25	3	value	value	NOUN
fumecheng-1292	25	4	the	the	DET
fumecheng-1292	25	5	fluid	fluid	NOUN
fumecheng-1292	25	6	starts	start	NOUN
fumecheng-1292	25	7	moving	moving	AUX
fumecheng-1292	25	8	thus	thus	ADV
fumecheng-1292	25	9	forming	form	VERB
fumecheng-1292	25	10	counter	counter	ADV
fumecheng-1292	25	11	-	-	ADJ
fumecheng-1292	25	12	rotating	rotate	VERB
fumecheng-1292	25	13	two	two	NUM
fumecheng-1292	25	14	-	-	PUNCT
fumecheng-1292	25	15	dimensional	dimensional	ADJ
fumecheng-1292	25	16	cells	cell	NOUN
fumecheng-1292	25	17	,	,	PUNCT
fumecheng-1292	25	18	the	the	DET
fumecheng-1292	25	19	cross	cross	NOUN
fumecheng-1292	25	20	-	-	NOUN
fumecheng-1292	25	21	section	section	NOUN
fumecheng-1292	25	22	of	of	ADP
fumecheng-1292	25	23	which	which	PRON
fumecheng-1292	25	24	is	be	AUX
fumecheng-1292	25	25	almost	almost	ADV
fumecheng-1292	25	26	square	square	ADJ
fumecheng-1292	25	27	.	.	PUNCT
fumecheng-1292	26	1	the	the	DET
fumecheng-1292	26	2	cellular	cellular	ADJ
fumecheng-1292	26	3	flow	flow	NOUN
fumecheng-1292	26	4	becomes	become	VERB
fumecheng-1292	26	5	considerably	considerably	ADV
fumecheng-1292	26	6	more	more	ADV
fumecheng-1292	26	7	complicated	complicated	ADJ
fumecheng-1292	26	8	as	as	ADP
fumecheng-1292	26	9	the	the	DET
fumecheng-1292	26	10	ra	ra	PROPN
fumecheng-1292	26	11	increases	increase	NOUN
fumecheng-1292	26	12	.	.	PUNCT
fumecheng-1292	27	1	the	the	DET
fumecheng-1292	27	2	two	two	NUM
fumecheng-1292	27	3	-	-	PUNCT
fumecheng-1292	27	4	dimensional	dimensional	ADJ
fumecheng-1292	27	5	cells	cell	NOUN
fumecheng-1292	27	6	break	break	VERB
fumecheng-1292	27	7	up	up	ADP
fumecheng-1292	27	8	in	in	ADP
fumecheng-1292	27	9	three	three	NUM
fumecheng-1292	27	10	-	-	PUNCT
fumecheng-1292	27	11	dimensional	dimensional	ADJ
fumecheng-1292	27	12	cells	cell	NOUN
fumecheng-1292	27	13	,	,	PUNCT
fumecheng-1292	27	14	which	which	PRON
fumecheng-1292	27	15	appear	appear	VERB
fumecheng-1292	27	16	hexagonal	hexagonal	ADJ
fumecheng-1292	27	17	in	in	ADP
fumecheng-1292	27	18	shape	shape	NOUN
fumecheng-1292	27	19	when	when	SCONJ
fumecheng-1292	27	20	viewed	view	VERB
fumecheng-1292	27	21	from	from	ADP
fumecheng-1292	27	22	above	above	ADV
fumecheng-1292	27	23	.	.	PUNCT
fumecheng-1292	28	1	with	with	ADP
fumecheng-1292	28	2	larger	large	ADJ
fumecheng-1292	28	3	ra	ra	PROPN
fumecheng-1292	28	4	numbers	number	NOUN
fumecheng-1292	28	5	,	,	PUNCT
fumecheng-1292	28	6	the	the	DET
fumecheng-1292	28	7	cells	cell	NOUN
fumecheng-1292	28	8	multiply	multiply	ADV
fumecheng-1292	28	9	,	,	PUNCT
fumecheng-1292	28	10	become	become	VERB
fumecheng-1292	28	11	oscillatory	oscillatory	ADJ
fumecheng-1292	28	12	and	and	CCONJ
fumecheng-1292	28	13	,	,	PUNCT
fumecheng-1292	28	14	finally	finally	ADV
fumecheng-1292	28	15	,	,	PUNCT
fumecheng-1292	28	16	turbulent	turbulent	ADJ
fumecheng-1292	28	17	.	.	PUNCT
fumecheng-1292	29	1	the	the	DET
fumecheng-1292	29	2	flow	flow	NOUN
fumecheng-1292	29	3	becomes	become	VERB
fumecheng-1292	29	4	turbulent	turbulent	ADJ
fumecheng-1292	29	5	at	at	ADP
fumecheng-1292	29	6	ra	ra	PROPN
fumecheng-1292	29	7	=	=	SYM
fumecheng-1292	29	8	104	104	NUM
fumecheng-1292	29	9	and	and	CCONJ
fumecheng-1292	29	10	pr	pr	X
fumecheng-1292	29	11	=	=	NOUN
fumecheng-1292	29	12	1	1	NUM
fumecheng-1292	29	13	,	,	PUNCT
fumecheng-1292	29	14	for	for	ADP
fumecheng-1292	29	15	water	water	NOUN
fumecheng-1292	29	16	pr	pr	NOUN
fumecheng-1292	30	1	=	=	NOUN
fumecheng-1292	30	2	7	7	NUM
fumecheng-1292	30	3	there	there	PRON
fumecheng-1292	30	4	is	be	VERB
fumecheng-1292	30	5	ra	ra	PROPN
fumecheng-1292	30	6	=	=	NOUN
fumecheng-1292	30	7	105	105	NUM
fumecheng-1292	30	8	,	,	PUNCT
fumecheng-1292	30	9	and	and	CCONJ
fumecheng-1292	30	10	for	for	ADP
fumecheng-1292	30	11	higher	high	ADJ
fumecheng-1292	30	12	pr	pr	NOUN
fumecheng-1292	30	13	numbers	number	NOUN
fumecheng-1292	30	14	there	there	PRON
fumecheng-1292	30	15	is	be	VERB
fumecheng-1292	30	16	ra	ra	PROPN
fumecheng-1292	30	17	=	=	NOUN
fumecheng-1292	30	18	106	106	NUM
fumecheng-1292	30	19	-	-	SYM
fumecheng-1292	30	20	107	107	NUM
fumecheng-1292	30	21	.	.	PUNCT
fumecheng-1292	31	1	most	most	ADJ
fumecheng-1292	31	2	of	of	ADP
fumecheng-1292	31	3	the	the	DET
fumecheng-1292	31	4	above	above	NOUN
fumecheng-1292	31	5	is	be	AUX
fumecheng-1292	31	6	valid	valid	ADJ
fumecheng-1292	31	7	for	for	ADP
fumecheng-1292	31	8	small	small	ADJ
fumecheng-1292	31	9	temperature	temperature	NOUN
fumecheng-1292	31	10	differences	difference	NOUN
fumecheng-1292	31	11	between	between	ADP
fumecheng-1292	31	12	the	the	DET
fumecheng-1292	31	13	plates	plate	NOUN
fumecheng-1292	31	14	when	when	SCONJ
fumecheng-1292	31	15	the	the	DET
fumecheng-1292	31	16	so	so	ADV
fumecheng-1292	31	17	-	-	PUNCT
fumecheng-1292	31	18	called	call	VERB
fumecheng-1292	31	19	oberbeck	oberbeck	NOUN
fumecheng-1292	31	20	-	-	PUNCT
fumecheng-1292	31	21	boussinesq	boussinesq	NOUN
fumecheng-1292	31	22	approximation	approximation	NOUN
fumecheng-1292	31	23	is	be	AUX
fumecheng-1292	31	24	valid	valid	ADJ
fumecheng-1292	31	25	.	.	PUNCT
fumecheng-1292	32	1	in	in	ADP
fumecheng-1292	32	2	the	the	DET
fumecheng-1292	32	3	oberbeck	oberbeck	NOUN
fumecheng-1292	32	4	-	-	PUNCT
fumecheng-1292	32	5	boussinesq	boussinesq	NOUN
fumecheng-1292	32	6	approximation	approximation	NOUN
fumecheng-1292	32	7	all	all	DET
fumecheng-1292	32	8	the	the	DET
fumecheng-1292	32	9	fluid	fluid	ADJ
fumecheng-1292	32	10	properties	property	NOUN
fumecheng-1292	32	11	are	be	AUX
fumecheng-1292	32	12	considered	consider	VERB
fumecheng-1292	32	13	constant	constant	ADJ
fumecheng-1292	32	14	except	except	SCONJ
fumecheng-1292	32	15	density	density	NOUN
fumecheng-1292	32	16	,	,	PUNCT
fumecheng-1292	32	17	which	which	PRON
fumecheng-1292	32	18	is	be	AUX
fumecheng-1292	32	19	assumed	assume	VERB
fumecheng-1292	32	20	to	to	PART
fumecheng-1292	32	21	be	be	AUX
fumecheng-1292	32	22	a	a	DET
fumecheng-1292	32	23	linear	linear	ADJ
fumecheng-1292	32	24	function	function	NOUN
fumecheng-1292	32	25	of	of	ADP
fumecheng-1292	32	26	temperature	temperature	NOUN
fumecheng-1292	32	27	:	:	PUNCT
fumecheng-1292	32	28	2	2	NUM
fumecheng-1292	32	29	2[1	2[1	NUM
fumecheng-1292	32	30	(	(	PUNCT
fumecheng-1292	32	31	)	)	PUNCT
fumecheng-1292	33	1	]	]	X
fumecheng-1292	33	2	t	t	X
fumecheng-1292	33	3	t	t	PROPN
fumecheng-1292	33	4			ADP
fumecheng-1292	33	5			VERB
fumecheng-1292	33	6			PROPN
fumecheng-1292	33	7			PROPN
fumecheng-1292	33	8	(	(	PUNCT
fumecheng-1292	33	9	2	2	NUM
fumecheng-1292	33	10	)	)	PUNCT
fumecheng-1292	33	11	where	where	SCONJ
fumecheng-1292	33	12	ρ2	ρ2	NOUN
fumecheng-1292	33	13	is	be	AUX
fumecheng-1292	33	14	fluid	fluid	ADJ
fumecheng-1292	33	15	density	density	NOUN
fumecheng-1292	33	16	at	at	ADP
fumecheng-1292	33	17	upper	upper	ADJ
fumecheng-1292	33	18	plate	plate	NOUN
fumecheng-1292	33	19	,	,	PUNCT
fumecheng-1292	33	20	t	t	PROPN
fumecheng-1292	33	21	is	be	AUX
fumecheng-1292	33	22	fluid	fluid	ADJ
fumecheng-1292	33	23	temperature	temperature	NOUN
fumecheng-1292	33	24	.	.	PUNCT
fumecheng-1292	34	1	one	one	NUM
fumecheng-1292	34	2	of	of	ADP
fumecheng-1292	34	3	the	the	DET
fumecheng-1292	34	4	first	first	ADJ
fumecheng-1292	34	5	papers	paper	NOUN
fumecheng-1292	34	6	that	that	PRON
fumecheng-1292	34	7	analyzed	analyze	VERB
fumecheng-1292	34	8	the	the	DET
fumecheng-1292	34	9	rayleigh	rayleigh	NOUN
fumecheng-1292	34	10	-	-	PUNCT
fumecheng-1292	34	11	bénard	bénard	PROPN
fumecheng-1292	34	12	flow	flow	NOUN
fumecheng-1292	34	13	with	with	ADP
fumecheng-1292	34	14	variable	variable	ADJ
fumecheng-1292	34	15	viscosity	viscosity	NOUN
fumecheng-1292	34	16	is	be	AUX
fumecheng-1292	34	17	that	that	PRON
fumecheng-1292	34	18	of	of	ADP
fumecheng-1292	34	19	tipelkirch	tipelkirch	NOUN
fumecheng-1292	34	20	et	et	PROPN
fumecheng-1292	34	21	al	al	PROPN
fumecheng-1292	34	22	.	.	PUNCT
fumecheng-1292	35	1	[	[	X
fumecheng-1292	35	2	1	1	NUM
fumecheng-1292	35	3	]	]	PUNCT
fumecheng-1292	35	4	.	.	PUNCT
fumecheng-1292	36	1	thereafter	thereafter	ADV
fumecheng-1292	36	2	,	,	PUNCT
fumecheng-1292	36	3	many	many	ADJ
fumecheng-1292	36	4	works	work	NOUN
fumecheng-1292	36	5	have	have	AUX
fumecheng-1292	36	6	appeared	appear	VERB
fumecheng-1292	36	7	treating	treat	VERB
fumecheng-1292	36	8	the	the	DET
fumecheng-1292	36	9	rayleigh	rayleigh	NOUN
fumecheng-1292	36	10	-	-	PUNCT
fumecheng-1292	36	11	bénard	bénard	PROPN
fumecheng-1292	36	12	flow	flow	NOUN
fumecheng-1292	36	13	with	with	ADP
fumecheng-1292	36	14	temperature	temperature	NOUN
fumecheng-1292	36	15	dependant	dependant	ADJ
fumecheng-1292	36	16	viscosity	viscosity	NOUN
fumecheng-1292	36	17	.	.	PUNCT
fumecheng-1292	37	1	some	some	PRON
fumecheng-1292	37	2	of	of	ADP
fumecheng-1292	37	3	the	the	DET
fumecheng-1292	37	4	authors	author	NOUN
fumecheng-1292	37	5	have	have	AUX
fumecheng-1292	37	6	treated	treat	VERB
fumecheng-1292	37	7	basic	basic	ADJ
fumecheng-1292	37	8	parameters	parameter	NOUN
fumecheng-1292	37	9	[	[	X
fumecheng-1292	37	10	2,3	2,3	NUM
fumecheng-1292	37	11	]	]	PUNCT
fumecheng-1292	37	12	,	,	PUNCT
fumecheng-1292	37	13	variable	variable	ADJ
fumecheng-1292	37	14	fluid	fluid	ADJ
fumecheng-1292	37	15	viscosity	viscosity	NOUN
fumecheng-1292	37	16	[	[	X
fumecheng-1292	37	17	4,5	4,5	NUM
fumecheng-1292	37	18	]	]	PUNCT
fumecheng-1292	37	19	,	,	PUNCT
fumecheng-1292	37	20	different	different	ADJ
fumecheng-1292	37	21	enclosures	enclosure	NOUN
fumecheng-1292	38	1	[	[	X
fumecheng-1292	38	2	6,7,8	6,7,8	NUM
fumecheng-1292	38	3	]	]	SYM
fumecheng-1292	38	4	,	,	PUNCT
fumecheng-1292	38	5	two	two	NUM
fumecheng-1292	38	6	-	-	PUNCT
fumecheng-1292	38	7	phase	phase	NOUN
fumecheng-1292	38	8	flows	flow	VERB
fumecheng-1292	38	9	[	[	X
fumecheng-1292	38	10	9,10	9,10	NUM
fumecheng-1292	38	11	]	]	PUNCT
fumecheng-1292	38	12	,	,	PUNCT
fumecheng-1292	38	13	etc	etc	X
fumecheng-1292	38	14	.	.	X
fumecheng-1292	39	1	some	some	DET
fumecheng-1292	39	2	modern	modern	ADJ
fumecheng-1292	39	3	approaches	approach	NOUN
fumecheng-1292	39	4	to	to	ADP
fumecheng-1292	39	5	numerical	numerical	ADJ
fumecheng-1292	39	6	solution	solution	NOUN
fumecheng-1292	39	7	can	can	AUX
fumecheng-1292	39	8	be	be	AUX
fumecheng-1292	39	9	found	find	VERB
fumecheng-1292	39	10	in	in	ADP
fumecheng-1292	39	11	the	the	DET
fumecheng-1292	39	12	recent	recent	ADJ
fumecheng-1292	39	13	papers	paper	NOUN
fumecheng-1292	39	14	[	[	X
fumecheng-1292	39	15	8,10,11	8,10,11	NUM
fumecheng-1292	39	16	]	]	PUNCT
fumecheng-1292	39	17	.	.	PUNCT
fumecheng-1292	40	1	instability	instability	NOUN
fumecheng-1292	40	2	of	of	ADP
fumecheng-1292	40	3	rayleigh	rayleigh	NOUN
fumecheng-1292	40	4	-	-	PUNCT
fumecheng-1292	40	5	bénard	bénard	NOUN
fumecheng-1292	40	6	convection	convection	NOUN
fumecheng-1292	40	7	for	for	ADP
fumecheng-1292	40	8	inclined	inclined	ADJ
fumecheng-1292	40	9	lower	low	ADJ
fumecheng-1292	40	10	wall	wall	NOUN
fumecheng-1292	40	11	with	with	ADP
fumecheng-1292	40	12	temperature	temperature	NOUN
fumecheng-1292	40	13	variation	variation	NOUN
fumecheng-1292	40	14	181	181	NUM
fumecheng-1292	40	15	probably	probably	ADV
fumecheng-1292	40	16	the	the	DET
fumecheng-1292	40	17	first	first	ADJ
fumecheng-1292	40	18	work	work	NOUN
fumecheng-1292	40	19	where	where	SCONJ
fumecheng-1292	40	20	the	the	DET
fumecheng-1292	40	21	rayleigh	rayleigh	PROPN
fumecheng-1292	40	22	-	-	PUNCT
fumecheng-1292	40	23	bénard	bénard	PROPN
fumecheng-1292	40	24	flow	flow	NOUN
fumecheng-1292	40	25	was	be	AUX
fumecheng-1292	40	26	treated	treat	VERB
fumecheng-1292	40	27	through	through	ADP
fumecheng-1292	40	28	assuming	assume	VERB
fumecheng-1292	40	29	all	all	DET
fumecheng-1292	40	30	the	the	DET
fumecheng-1292	40	31	fluid	fluid	ADJ
fumecheng-1292	40	32	properties	property	NOUN
fumecheng-1292	40	33	as	as	ADP
fumecheng-1292	40	34	a	a	DET
fumecheng-1292	40	35	function	function	NOUN
fumecheng-1292	40	36	of	of	ADP
fumecheng-1292	40	37	temperature	temperature	NOUN
fumecheng-1292	40	38	was	be	AUX
fumecheng-1292	40	39	that	that	PRON
fumecheng-1292	40	40	of	of	ADP
fumecheng-1292	40	41	paolucci	paolucci	PROPN
fumecheng-1292	40	42	et	et	PROPN
fumecheng-1292	40	43	al	al	PROPN
fumecheng-1292	40	44	.	.	PUNCT
fumecheng-1292	41	1	[	[	X
fumecheng-1292	41	2	12	12	NUM
fumecheng-1292	41	3	]	]	PUNCT
fumecheng-1292	41	4	.	.	PUNCT
fumecheng-1292	42	1	the	the	DET
fumecheng-1292	42	2	working	work	VERB
fumecheng-1292	42	3	fluid	fluid	NOUN
fumecheng-1292	42	4	was	be	AUX
fumecheng-1292	42	5	air	air	NOUN
fumecheng-1292	42	6	,	,	PUNCT
fumecheng-1292	42	7	its	its	PRON
fumecheng-1292	42	8	dynamic	dynamic	ADJ
fumecheng-1292	42	9	viscosity	viscosity	NOUN
fumecheng-1292	42	10	and	and	CCONJ
fumecheng-1292	42	11	thermal	thermal	ADJ
fumecheng-1292	42	12	conductivity	conductivity	NOUN
fumecheng-1292	42	13	following	follow	VERB
fumecheng-1292	42	14	the	the	DET
fumecheng-1292	42	15	sutherland	sutherland	PROPN
fumecheng-1292	42	16	law	law	PROPN
fumecheng-1292	42	17	.	.	PUNCT
fumecheng-1292	43	1	the	the	DET
fumecheng-1292	43	2	work	work	NOUN
fumecheng-1292	43	3	of	of	ADP
fumecheng-1292	43	4	fröhlich	fröhlich	PROPN
fumecheng-1292	43	5	et	et	PROPN
fumecheng-1292	43	6	all	all	PRON
fumecheng-1292	43	7	[	[	X
fumecheng-1292	43	8	13	13	NUM
fumecheng-1292	43	9	]	]	PUNCT
fumecheng-1292	43	10	and	and	CCONJ
fumecheng-1292	43	11	severin	severin	PROPN
fumecheng-1292	43	12	and	and	CCONJ
fumecheng-1292	43	13	herwig	herwig	PROPN
fumecheng-1292	43	14	et	et	PROPN
fumecheng-1292	43	15	al	al	PROPN
fumecheng-1292	43	16	.	.	PUNCT
fumecheng-1292	44	1	[	[	X
fumecheng-1292	44	2	14	14	NUM
fumecheng-1292	44	3	]	]	PUNCT
fumecheng-1292	44	4	followed	follow	VERB
fumecheng-1292	44	5	,	,	PUNCT
fumecheng-1292	44	6	which	which	PRON
fumecheng-1292	44	7	is	be	AUX
fumecheng-1292	44	8	the	the	DET
fumecheng-1292	44	9	most	most	ADV
fumecheng-1292	44	10	recent	recent	ADJ
fumecheng-1292	44	11	work	work	NOUN
fumecheng-1292	44	12	on	on	ADP
fumecheng-1292	44	13	the	the	DET
fumecheng-1292	44	14	rayleigh	rayleigh	NOUN
fumecheng-1292	44	15	-	-	PUNCT
fumecheng-1292	44	16	bénard	bénard	NOUN
fumecheng-1292	44	17	convection	convection	NOUN
fumecheng-1292	44	18	considering	consider	VERB
fumecheng-1292	44	19	all	all	DET
fumecheng-1292	44	20	the	the	DET
fumecheng-1292	44	21	fluid	fluid	ADJ
fumecheng-1292	44	22	properties	property	NOUN
fumecheng-1292	44	23	variable	variable	ADJ
fumecheng-1292	44	24	and	and	CCONJ
fumecheng-1292	44	25	angle	angle	NOUN
fumecheng-1292	44	26	-	-	PUNCT
fumecheng-1292	44	27	inclined	inclined	ADJ
fumecheng-1292	44	28	[	[	X
fumecheng-1292	44	29	15	15	NUM
fumecheng-1292	44	30	-	-	SYM
fumecheng-1292	44	31	18	18	NUM
fumecheng-1292	44	32	]	]	PUNCT
fumecheng-1292	44	33	.	.	PUNCT
fumecheng-1292	45	1	severin	severin	PROPN
fumecheng-1292	45	2	and	and	CCONJ
fumecheng-1292	45	3	herwig	herwig	PROPN
fumecheng-1292	45	4	calculated	calculate	VERB
fumecheng-1292	45	5	the	the	DET
fumecheng-1292	45	6	critical	critical	ADJ
fumecheng-1292	45	7	reynolds	reynold	NOUN
fumecheng-1292	45	8	number	number	NOUN
fumecheng-1292	45	9	using	use	VERB
fumecheng-1292	45	10	the	the	DET
fumecheng-1292	45	11	method	method	NOUN
fumecheng-1292	45	12	of	of	ADP
fumecheng-1292	45	13	asymptotic	asymptotic	ADJ
fumecheng-1292	45	14	expansions	expansion	NOUN
fumecheng-1292	45	15	and	and	CCONJ
fumecheng-1292	45	16	the	the	DET
fumecheng-1292	45	17	results	result	NOUN
fumecheng-1292	45	18	were	be	AUX
fumecheng-1292	45	19	valid	valid	ADJ
fumecheng-1292	45	20	only	only	ADV
fumecheng-1292	45	21	for	for	ADP
fumecheng-1292	45	22	small	small	ADJ
fumecheng-1292	45	23	heat	heat	NOUN
fumecheng-1292	45	24	transfer	transfer	NOUN
fumecheng-1292	45	25	rates	rate	NOUN
fumecheng-1292	45	26	.	.	PUNCT
fumecheng-1292	46	1	in	in	ADP
fumecheng-1292	46	2	this	this	DET
fumecheng-1292	46	3	paper	paper	NOUN
fumecheng-1292	46	4	we	we	PRON
fumecheng-1292	46	5	consider	consider	VERB
fumecheng-1292	46	6	a	a	DET
fumecheng-1292	46	7	fluid	fluid	ADJ
fumecheng-1292	46	8	flow	flow	NOUN
fumecheng-1292	46	9	for	for	ADP
fumecheng-1292	46	10	the	the	DET
fumecheng-1292	46	11	rayleigh	rayleigh	ADJ
fumecheng-1292	46	12	number	number	NOUN
fumecheng-1292	46	13	below	below	ADP
fumecheng-1292	46	14	the	the	DET
fumecheng-1292	46	15	critical	critical	ADJ
fumecheng-1292	46	16	value	value	NOUN
fumecheng-1292	46	17	against	against	ADP
fumecheng-1292	46	18	the	the	DET
fumecheng-1292	46	19	wave	wave	NOUN
fumecheng-1292	46	20	number	number	NOUN
fumecheng-1292	46	21	very	very	ADV
fumecheng-1292	46	22	close	close	ADV
fumecheng-1292	46	23	to	to	ADP
fumecheng-1292	46	24	the	the	DET
fumecheng-1292	46	25	critical	critical	ADJ
fumecheng-1292	46	26	one	one	NUM
fumecheng-1292	46	27	.	.	PUNCT
fumecheng-1292	47	1	the	the	DET
fumecheng-1292	47	2	numerical	numerical	PROPN
fumecheng-1292	47	3	simulation	simulation	PROPN
fumecheng-1292	47	4	of	of	ADP
fumecheng-1292	47	5	2d	2d	PROPN
fumecheng-1292	47	6	navier	navier	NOUN
fumecheng-1292	47	7	-	-	PUNCT
fumecheng-1292	47	8	stokes	stoke	NOUN
fumecheng-1292	47	9	equation	equation	NOUN
fumecheng-1292	47	10	in	in	ADP
fumecheng-1292	47	11	vorticity	vorticity	NOUN
fumecheng-1292	47	12	-	-	PUNCT
fumecheng-1292	47	13	stream	stream	NOUN
fumecheng-1292	47	14	function	function	NOUN
fumecheng-1292	47	15	form	form	NOUN
fumecheng-1292	47	16	is	be	AUX
fumecheng-1292	47	17	carried	carry	VERB
fumecheng-1292	47	18	out	out	ADP
fumecheng-1292	47	19	for	for	ADP
fumecheng-1292	47	20	temperaturedependant	temperaturedependant	ADJ
fumecheng-1292	47	21	thermophysical	thermophysical	ADJ
fumecheng-1292	47	22	properties	property	NOUN
fumecheng-1292	47	23	.	.	PUNCT
fumecheng-1292	48	1	in	in	ADP
fumecheng-1292	48	2	those	those	DET
fumecheng-1292	48	3	cases	case	NOUN
fumecheng-1292	48	4	there	there	PRON
fumecheng-1292	48	5	is	be	VERB
fumecheng-1292	48	6	spatial	spatial	ADJ
fumecheng-1292	48	7	temperature	temperature	NOUN
fumecheng-1292	48	8	modulation	modulation	NOUN
fumecheng-1292	48	9	at	at	ADP
fumecheng-1292	48	10	the	the	DET
fumecheng-1292	48	11	lower	low	ADJ
fumecheng-1292	48	12	wall	wall	NOUN
fumecheng-1292	48	13	with	with	ADP
fumecheng-1292	48	14	small	small	ADJ
fumecheng-1292	48	15	angle	angle	NOUN
fumecheng-1292	48	16	γ	γ	X
fumecheng-1292	48	17	,	,	PUNCT
fumecheng-1292	48	18	where	where	SCONJ
fumecheng-1292	48	19	δm	δm	PROPN
fumecheng-1292	48	20	is	be	AUX
fumecheng-1292	48	21	amplitude	amplitude	NOUN
fumecheng-1292	48	22	and	and	CCONJ
fumecheng-1292	48	23	qm	qm	PROPN
fumecheng-1292	48	24	is	be	AUX
fumecheng-1292	48	25	wave	wave	NOUN
fumecheng-1292	48	26	number	number	NOUN
fumecheng-1292	48	27	of	of	ADP
fumecheng-1292	48	28	the	the	DET
fumecheng-1292	48	29	temperature	temperature	NOUN
fumecheng-1292	48	30	modulation	modulation	NOUN
fumecheng-1292	48	31	around	around	ADP
fumecheng-1292	48	32	some	some	DET
fumecheng-1292	48	33	average	average	ADJ
fumecheng-1292	48	34	value	value	NOUN
fumecheng-1292	48	35	at	at	ADP
fumecheng-1292	48	36	the	the	DET
fumecheng-1292	48	37	lower	low	ADJ
fumecheng-1292	48	38	plate	plate	NOUN
fumecheng-1292	48	39	.	.	PUNCT
fumecheng-1292	49	1	2	2	X
fumecheng-1292	49	2	.	.	X
fumecheng-1292	49	3	mathematical	mathematical	ADJ
fumecheng-1292	49	4	model	model	NOUN
fumecheng-1292	49	5	at	at	ADP
fumecheng-1292	49	6	the	the	DET
fumecheng-1292	49	7	rayleigh	rayleigh	PROPN
fumecheng-1292	49	8	-	-	PUNCT
fumecheng-1292	49	9	bénard	bénard	NOUN
fumecheng-1292	49	10	convection	convection	NOUN
fumecheng-1292	49	11	we	we	PRON
fumecheng-1292	49	12	can	can	AUX
fumecheng-1292	49	13	use	use	VERB
fumecheng-1292	49	14	three	three	NUM
fumecheng-1292	49	15	different	different	ADJ
fumecheng-1292	49	16	approaches	approach	NOUN
fumecheng-1292	49	17	:	:	PUNCT
fumecheng-1292	49	18	boussinesq	boussinesq	ADJ
fumecheng-1292	49	19	approximation	approximation	NOUN
fumecheng-1292	49	20	,	,	PUNCT
fumecheng-1292	49	21	low	low	ADJ
fumecheng-1292	49	22	mach	mach	NOUN
fumecheng-1292	49	23	number	number	NOUN
fumecheng-1292	49	24	approximation	approximation	NOUN
fumecheng-1292	49	25	,	,	PUNCT
fumecheng-1292	49	26	and	and	CCONJ
fumecheng-1292	49	27	compressible	compressible	ADJ
fumecheng-1292	49	28	navier	navier	NOUN
fumecheng-1292	49	29	-	-	PUNCT
fumecheng-1292	49	30	stokes	stoke	NOUN
fumecheng-1292	49	31	equations	equation	NOUN
fumecheng-1292	49	32	.	.	PUNCT
fumecheng-1292	50	1	the	the	DET
fumecheng-1292	50	2	incompressible	incompressible	ADJ
fumecheng-1292	50	3	navier	navier	NOUN
fumecheng-1292	50	4	-	-	PUNCT
fumecheng-1292	50	5	stokes	stoke	NOUN
fumecheng-1292	50	6	equations	equation	NOUN
fumecheng-1292	50	7	for	for	ADP
fumecheng-1292	50	8	bousinesq	bousinesq	ADJ
fumecheng-1292	50	9	approximation	approximation	NOUN
fumecheng-1292	50	10	,	,	PUNCT
fumecheng-1292	50	11	continuity	continuity	NOUN
fumecheng-1292	50	12	and	and	CCONJ
fumecheng-1292	50	13	energy	energy	NOUN
fumecheng-1292	50	14	equation	equation	NOUN
fumecheng-1292	50	15	read	read	VERB
fumecheng-1292	50	16	:	:	PUNCT
fumecheng-1292	50	17	2	2	NUM
fumecheng-1292	50	18	2	2	NUM
fumecheng-1292	50	19	1	1	NUM
fumecheng-1292	50	20	(	(	PUNCT
fumecheng-1292	50	21	)	)	PUNCT
fumecheng-1292	51	1	[	[	X
fumecheng-1292	51	2	1	1	NUM
fumecheng-1292	51	3	(	(	PUNCT
fumecheng-1292	51	4	)	)	PUNCT
fumecheng-1292	51	5	]	]	PUNCT
fumecheng-1292	51	6	0	0	PUNCT
fumecheng-1292	51	7	(	(	PUNCT
fumecheng-1292	51	8	)	)	PUNCT
fumecheng-1292	51	9	v	v	NOUN
fumecheng-1292	51	10	v	v	NUM
fumecheng-1292	51	11	v	v	ADP
fumecheng-1292	51	12	p	p	NOUN
fumecheng-1292	51	13	v	v	ADP
fumecheng-1292	51	14	t	t	NOUN
fumecheng-1292	51	15	t	t	NOUN
fumecheng-1292	51	16	g	g	PROPN
fumecheng-1292	51	17	t	t	PROPN
fumecheng-1292	51	18	v	v	ADP
fumecheng-1292	51	19	t	t	PROPN
fumecheng-1292	51	20	v	v	NOUN
fumecheng-1292	51	21	t	t	PROPN
fumecheng-1292	51	22	t	t	PROPN
fumecheng-1292	51	23	t	t	PROPN
fumecheng-1292	51	24			NOUN
fumecheng-1292	51	25			ADP
fumecheng-1292	51	26			PROPN
fumecheng-1292	51	27			NOUN
fumecheng-1292	51	28			PRON
fumecheng-1292	51	29			PROPN
fumecheng-1292	51	30			PRON
fumecheng-1292	51	31			PROPN
fumecheng-1292	51	32			PUNCT
fumecheng-1292	51	33			PROPN
fumecheng-1292	51	34			PROPN
fumecheng-1292	51	35			NOUN
fumecheng-1292	51	36			PROPN
fumecheng-1292	51	37			PROPN
fumecheng-1292	51	38			PROPN
fumecheng-1292	51	39			ADJ
fumecheng-1292	51	40			PROPN
fumecheng-1292	51	41			PROPN
fumecheng-1292	51	42			PROPN
fumecheng-1292	51	43			PROPN
fumecheng-1292	51	44			PROPN
fumecheng-1292	51	45			NUM
fumecheng-1292	51	46			NOUN
fumecheng-1292	51	47			ADJ
fumecheng-1292	51	48	(	(	PUNCT
fumecheng-1292	51	49	3	3	NUM
fumecheng-1292	51	50	)	)	PUNCT
fumecheng-1292	51	51	where	where	SCONJ
fumecheng-1292	51	52	kwjviuv	kwjviuv	PROPN
fumecheng-1292	51	53			PROPN
fumecheng-1292	51	54			PROPN
fumecheng-1292	51	55	is	be	AUX
fumecheng-1292	51	56	velocity	velocity	NOUN
fumecheng-1292	51	57	vector	vector	NOUN
fumecheng-1292	51	58	,	,	PUNCT
fumecheng-1292	51	59	p	p	NOUN
fumecheng-1292	51	60	pressure	pressure	NOUN
fumecheng-1292	51	61	,	,	PUNCT
fumecheng-1292	51	62	a	a	DET
fumecheng-1292	51	63	thermal	thermal	ADJ
fumecheng-1292	51	64	diffusivity	diffusivity	NOUN
fumecheng-1292	51	65	and	and	CCONJ
fumecheng-1292	51	66	υ	υ	NOUN
fumecheng-1292	51	67	is	be	AUX
fumecheng-1292	51	68	kinematic	kinematic	ADJ
fumecheng-1292	51	69	viscosity	viscosity	NOUN
fumecheng-1292	51	70	.	.	PUNCT
fumecheng-1292	52	1	for	for	ADP
fumecheng-1292	52	2	the	the	DET
fumecheng-1292	52	3	case	case	NOUN
fumecheng-1292	52	4	of	of	ADP
fumecheng-1292	52	5	the	the	DET
fumecheng-1292	52	6	fluid	fluid	ADJ
fumecheng-1292	52	7	flow	flow	NOUN
fumecheng-1292	52	8	between	between	ADP
fumecheng-1292	52	9	two	two	NUM
fumecheng-1292	52	10	parallel	parallel	ADJ
fumecheng-1292	52	11	plates	plate	NOUN
fumecheng-1292	52	12	inclined	incline	VERB
fumecheng-1292	52	13	at	at	ADP
fumecheng-1292	52	14	an	an	DET
fumecheng-1292	52	15	angle	angle	NOUN
fumecheng-1292	52	16	γ	γ	X
fumecheng-1292	52	17	,	,	PUNCT
fumecheng-1292	52	18	relative	relative	ADJ
fumecheng-1292	52	19	to	to	ADP
fumecheng-1292	52	20	the	the	DET
fumecheng-1292	52	21	horizontal	horizontal	ADJ
fumecheng-1292	52	22	plane	plane	NOUN
fumecheng-1292	52	23	,	,	PUNCT
fumecheng-1292	52	24	force	force	NOUN
fumecheng-1292	52	25	g	g	NOUN
fumecheng-1292	52	26			NOUN
fumecheng-1292	52	27	may	may	AUX
fumecheng-1292	52	28	be	be	AUX
fumecheng-1292	52	29	expressed	express	VERB
fumecheng-1292	52	30	as	as	ADP
fumecheng-1292	52	31	:	:	PUNCT
fumecheng-1292	52	32	sin	sin	NOUN
fumecheng-1292	52	33	cosg	cosg	NOUN
fumecheng-1292	52	34	g	g	PROPN
fumecheng-1292	53	1	i	i	PRON
fumecheng-1292	53	2	g	g	PROPN
fumecheng-1292	53	3	j	j	PROPN
fumecheng-1292	53	4			PROPN
fumecheng-1292	53	5			VERB
fumecheng-1292	53	6	at	at	ADP
fumecheng-1292	53	7	this	this	DET
fumecheng-1292	53	8	point	point	NOUN
fumecheng-1292	53	9	in	in	ADP
fumecheng-1292	53	10	the	the	DET
fumecheng-1292	53	11	research	research	NOUN
fumecheng-1292	53	12	,	,	PUNCT
fumecheng-1292	53	13	considering	consider	VERB
fumecheng-1292	53	14	the	the	DET
fumecheng-1292	53	15	limited	limited	ADJ
fumecheng-1292	53	16	computational	computational	ADJ
fumecheng-1292	53	17	resources	resource	NOUN
fumecheng-1292	53	18	,	,	PUNCT
fumecheng-1292	53	19	the	the	DET
fumecheng-1292	53	20	problem	problem	NOUN
fumecheng-1292	53	21	will	will	AUX
fumecheng-1292	53	22	be	be	AUX
fumecheng-1292	53	23	considered	consider	VERB
fumecheng-1292	53	24	only	only	ADV
fumecheng-1292	53	25	in	in	ADP
fumecheng-1292	53	26	2d	2d	NUM
fumecheng-1292	53	27	domain	domain	NOUN
fumecheng-1292	53	28	.	.	PUNCT
fumecheng-1292	54	1	the	the	DET
fumecheng-1292	54	2	boundary	boundary	ADJ
fumecheng-1292	54	3	conditions	condition	NOUN
fumecheng-1292	54	4	are	be	AUX
fumecheng-1292	54	5	:	:	PUNCT
fumecheng-1292	54	6	(	(	PUNCT
fumecheng-1292	54	7	,	,	PUNCT
fumecheng-1292	54	8	,	,	PUNCT
fumecheng-1292	54	9	)	)	PUNCT
fumecheng-1292	54	10	0	0	NUM
fumecheng-1292	54	11	,	,	PUNCT
fumecheng-1292	54	12	(	(	PUNCT
fumecheng-1292	54	13	,	,	PUNCT
fumecheng-1292	54	14	,	,	PUNCT
fumecheng-1292	54	15	)	)	PUNCT
fumecheng-1292	54	16	0u	0u	ADJ
fumecheng-1292	54	17	x	x	SYM
fumecheng-1292	54	18	y	y	PROPN
fumecheng-1292	54	19	h	h	NOUN
fumecheng-1292	54	20	t	t	PROPN
fumecheng-1292	54	21	u	u	X
fumecheng-1292	54	22	x	x	X
fumecheng-1292	54	23	y	y	NOUN
fumecheng-1292	54	24	h	h	NOUN
fumecheng-1292	54	25	t	t	PROPN
fumecheng-1292	55	1			PROPN
fumecheng-1292	55	2			PROPN
fumecheng-1292	55	3			NOUN
fumecheng-1292	55	4			NUM
fumecheng-1292	55	5	(	(	PUNCT
fumecheng-1292	55	6	4	4	NUM
fumecheng-1292	55	7	)	)	PUNCT
fumecheng-1292	55	8	(	(	PUNCT
fumecheng-1292	55	9	,	,	PUNCT
fumecheng-1292	55	10	,	,	PUNCT
fumecheng-1292	55	11	)	)	PUNCT
fumecheng-1292	55	12	0	0	NUM
fumecheng-1292	55	13	,	,	PUNCT
fumecheng-1292	55	14	(	(	PUNCT
fumecheng-1292	55	15	,	,	PUNCT
fumecheng-1292	55	16	,	,	PUNCT
fumecheng-1292	55	17	)	)	PUNCT
fumecheng-1292	55	18	0v	0v	NOUN
fumecheng-1292	55	19	x	x	PUNCT
fumecheng-1292	56	1	y	y	PROPN
fumecheng-1292	56	2	h	h	NOUN
fumecheng-1292	56	3	t	t	PROPN
fumecheng-1292	56	4	v	v	NOUN
fumecheng-1292	56	5	x	x	SYM
fumecheng-1292	56	6	y	y	NOUN
fumecheng-1292	56	7	h	h	NOUN
fumecheng-1292	56	8	t	t	PROPN
fumecheng-1292	57	1			PROPN
fumecheng-1292	57	2			PROPN
fumecheng-1292	57	3			NOUN
fumecheng-1292	57	4			NUM
fumecheng-1292	57	5	(	(	PUNCT
fumecheng-1292	57	6	5	5	NUM
fumecheng-1292	57	7	)	)	SYM
fumecheng-1292	57	8	2	2	NUM
fumecheng-1292	57	9	1	1	NUM
fumecheng-1292	57	10	(	(	PUNCT
fumecheng-1292	57	11	,	,	PUNCT
fumecheng-1292	57	12	,	,	PUNCT
fumecheng-1292	57	13	)	)	PUNCT
fumecheng-1292	57	14	,	,	PUNCT
fumecheng-1292	57	15	(	(	PUNCT
fumecheng-1292	57	16	,	,	PUNCT
fumecheng-1292	57	17	,	,	PUNCT
fumecheng-1292	57	18	)	)	PUNCT
fumecheng-1292	57	19	t	t	NOUN
fumecheng-1292	58	1	x	x	SYM
fumecheng-1292	58	2	y	y	PROPN
fumecheng-1292	58	3	h	h	NOUN
fumecheng-1292	58	4	t	t	PROPN
fumecheng-1292	58	5	t	t	PROPN
fumecheng-1292	58	6	t	t	PROPN
fumecheng-1292	58	7	x	x	X
fumecheng-1292	58	8	y	y	PROPN
fumecheng-1292	58	9	h	h	NOUN
fumecheng-1292	58	10	t	t	PROPN
fumecheng-1292	58	11	t	t	PROPN
fumecheng-1292	59	1			PROPN
fumecheng-1292	59	2			PROPN
fumecheng-1292	59	3			NOUN
fumecheng-1292	59	4			NUM
fumecheng-1292	59	5	(	(	PUNCT
fumecheng-1292	59	6	6	6	NUM
fumecheng-1292	59	7	)	)	PUNCT
fumecheng-1292	59	8	for	for	ADP
fumecheng-1292	59	9	the	the	DET
fumecheng-1292	59	10	plane	plane	NOUN
fumecheng-1292	59	11	flow	flow	NOUN
fumecheng-1292	59	12	in	in	ADP
fumecheng-1292	59	13	the	the	DET
fumecheng-1292	59	14	vorticity	vorticity	NOUN
fumecheng-1292	59	15	stream	stream	NOUN
fumecheng-1292	59	16	-	-	PUNCT
fumecheng-1292	59	17	function	function	NOUN
fumecheng-1292	59	18	formulation	formulation	NOUN
fumecheng-1292	59	19	we	we	PRON
fumecheng-1292	59	20	have	have	VERB
fumecheng-1292	59	21	:	:	PUNCT
fumecheng-1292	59	22	2	2	NUM
fumecheng-1292	59	23	(	(	PUNCT
fumecheng-1292	59	24	)	)	PUNCT
fumecheng-1292	59	25	1	1	NUM
fumecheng-1292	59	26	(	(	PUNCT
fumecheng-1292	59	27	)	)	PUNCT
fumecheng-1292	59	28	(	(	PUNCT
fumecheng-1292	59	29	)	)	PUNCT
fumecheng-1292	59	30	(	(	PUNCT
fumecheng-1292	59	31	)	)	PUNCT
fumecheng-1292	60	1	[	[	X
fumecheng-1292	60	2	1	1	NUM
fumecheng-1292	60	3	(	(	PUNCT
fumecheng-1292	60	4	)	)	PUNCT
fumecheng-1292	60	5	]	]	PUNCT
fumecheng-1292	60	6	(	(	PUNCT
fumecheng-1292	60	7	sin	sin	PROPN
fumecheng-1292	60	8	cos	cos	PROPN
fumecheng-1292	60	9	)	)	PUNCT
fumecheng-1292	60	10	v	v	ADP
fumecheng-1292	60	11	v	v	NUM
fumecheng-1292	60	12	v	v	ADP
fumecheng-1292	60	13	p	p	NOUN
fumecheng-1292	60	14	v	v	ADP
fumecheng-1292	60	15	t	t	NOUN
fumecheng-1292	60	16	t	t	NOUN
fumecheng-1292	60	17	g	g	PROPN
fumecheng-1292	61	1	i	i	PRON
fumecheng-1292	61	2	g	g	PROPN
fumecheng-1292	61	3	j	j	PROPN
fumecheng-1292	61	4	t	t	PROPN
fumecheng-1292	61	5			PROPN
fumecheng-1292	61	6			PROPN
fumecheng-1292	61	7			NUM
fumecheng-1292	61	8			NUM
fumecheng-1292	61	9			ADP
fumecheng-1292	61	10			PROPN
fumecheng-1292	61	11			PROPN
fumecheng-1292	61	12			DET
fumecheng-1292	61	13			PROPN
fumecheng-1292	61	14			ADJ
fumecheng-1292	61	15			PUNCT
fumecheng-1292	61	16			PRON
fumecheng-1292	61	17			PROPN
fumecheng-1292	61	18			NOUN
fumecheng-1292	61	19			ADJ
fumecheng-1292	61	20			ADJ
fumecheng-1292	61	21			PROPN
fumecheng-1292	61	22			PROPN
fumecheng-1292	61	23			ADJ
fumecheng-1292	61	24			ADJ
fumecheng-1292	61	25	(	(	PUNCT
fumecheng-1292	61	26	7	7	NUM
fumecheng-1292	61	27	)	)	PUNCT
fumecheng-1292	61	28	182	182	NUM
fumecheng-1292	61	29	s.	s.	PROPN
fumecheng-1292	61	30	ayed	aye	VERB
fumecheng-1292	61	31	,	,	PUNCT
fumecheng-1292	61	32	g.	g.	PROPN
fumecheng-1292	61	33	ilić	ilić	PROPN
fumecheng-1292	61	34	,	,	PUNCT
fumecheng-1292	61	35	p.	p.	PROPN
fumecheng-1292	61	36	živković	živković	PROPN
fumecheng-1292	62	1	,	,	PUNCT
fumecheng-1292	62	2	m.	m.	NOUN
fumecheng-1292	62	3	vukić	vukić	PROPN
fumecheng-1292	62	4	,	,	PUNCT
fumecheng-1292	62	5	m.	m.	NOUN
fumecheng-1292	62	6	tomić	tomić	NOUN
fumecheng-1292	62	7	having	have	VERB
fumecheng-1292	62	8	in	in	ADP
fumecheng-1292	62	9	mind	mind	NOUN
fumecheng-1292	62	10	that	that	SCONJ
fumecheng-1292	62	11	per	per	ADP
fumecheng-1292	62	12	definition	definition	NOUN
fumecheng-1292	62	13	p	p	ADV
fumecheng-1292	62	14	and	and	CCONJ
fumecheng-1292	62	15			PROPN
fumecheng-1292	62	16	υ	υ	NOUN
fumecheng-1292	62	17	,	,	PUNCT
fumecheng-1292	62	18	and	and	CCONJ
fumecheng-1292	62	19	that	that	SCONJ
fumecheng-1292	62	20	for	for	ADP
fumecheng-1292	62	21	plane	plane	NOUN
fumecheng-1292	62	22	flow	flow	NOUN
fumecheng-1292	62	23	we	we	PRON
fumecheng-1292	62	24	have	have	VERB
fumecheng-1292	62	25	kjviuv	kjviuv	NOUN
fumecheng-1292	62	26			PROPN
fumecheng-1292	62	27	0	0	NOUN
fumecheng-1292	62	28	,	,	PUNCT
fumecheng-1292	62	29	and	and	CCONJ
fumecheng-1292	62	30	x	x	PROPN
fumecheng-1292	62	31	for	for	ADP
fumecheng-1292	62	32	any	any	DET
fumecheng-1292	62	33	physical	physical	ADJ
fumecheng-1292	62	34	value	value	NOUN
fumecheng-1292	62	35			NOUN
fumecheng-1292	62	36	,	,	PUNCT
fumecheng-1292	62	37	we	we	PRON
fumecheng-1292	62	38	obtain	obtain	VERB
fumecheng-1292	62	39	the	the	DET
fumecheng-1292	62	40	following	follow	VERB
fumecheng-1292	62	41	vorticity	vorticity	NOUN
fumecheng-1292	62	42	equation	equation	NOUN
fumecheng-1292	62	43	:	:	PUNCT
fumecheng-1292	62	44	2	2	NUM
fumecheng-1292	62	45	2	2	NUM
fumecheng-1292	62	46	(	(	PUNCT
fumecheng-1292	62	47	)	)	PUNCT
fumecheng-1292	62	48	sin	sin	NOUN
fumecheng-1292	62	49	(	(	PUNCT
fumecheng-1292	62	50	)	)	PUNCT
fumecheng-1292	62	51	cos	cos	PROPN
fumecheng-1292	62	52	(	(	PUNCT
fumecheng-1292	62	53	)	)	PUNCT
fumecheng-1292	63	1	d	d	PROPN
fumecheng-1292	63	2	d	d	PROPN
fumecheng-1292	63	3	v	v	ADP
fumecheng-1292	63	4	t	t	PROPN
fumecheng-1292	63	5	t	t	PROPN
fumecheng-1292	63	6	t	t	PROPN
fumecheng-1292	63	7	t	t	PROPN
fumecheng-1292	63	8	gk	gk	PROPN
fumecheng-1292	63	9	t	t	PROPN
fumecheng-1292	63	10	dy	dy	PROPN
fumecheng-1292	63	11	dx	dx	PROPN
fumecheng-1292	63	12			PROPN
fumecheng-1292	63	13			PROPN
fumecheng-1292	63	14			INTJ
fumecheng-1292	64	1			X
fumecheng-1292	64	2			NUM
fumecheng-1292	64	3			NUM
fumecheng-1292	64	4			PROPN
fumecheng-1292	64	5			PROPN
fumecheng-1292	64	6			PROPN
fumecheng-1292	64	7			PUNCT
fumecheng-1292	64	8			PROPN
fumecheng-1292	64	9			PROPN
fumecheng-1292	64	10			NOUN
fumecheng-1292	64	11			PROPN
fumecheng-1292	64	12			PROPN
fumecheng-1292	64	13			PROPN
fumecheng-1292	64	14			PROPN
fumecheng-1292	64	15			ADJ
fumecheng-1292	64	16			ADJ
fumecheng-1292	64	17			NOUN
fumecheng-1292	64	18			PROPN
fumecheng-1292	64	19	(	(	PUNCT
fumecheng-1292	64	20	8)	8)	NUM
fumecheng-1292	64	21	since	since	SCONJ
fumecheng-1292	64	22	0	0	NUM
fumecheng-1292	64	23	0x	0x	NOUN
fumecheng-1292	64	24	y	y	PROPN
fumecheng-1292	64	25	z	z	PROPN
fumecheng-1292	64	26	zi	zi	PROPN
fumecheng-1292	64	27	j	j	PROPN
fumecheng-1292	65	1	k	k	PROPN
fumecheng-1292	65	2	i	i	PRON
fumecheng-1292	65	3	j	j	PROPN
fumecheng-1292	66	1	k	k	X
fumecheng-1292	67	1			X
fumecheng-1292	67	2			X
fumecheng-1292	67	3			X
fumecheng-1292	67	4			X
fumecheng-1292	67	5			PROPN
fumecheng-1292	67	6			PROPN
fumecheng-1292	68	1			PROPN
fumecheng-1292	69	1			ADV
fumecheng-1292	70	1			VERB
fumecheng-1292	70	2	in	in	ADP
fumecheng-1292	70	3	two	two	NUM
fumecheng-1292	70	4	dimensional	dimensional	ADJ
fumecheng-1292	70	5	fluid	fluid	NOUN
fumecheng-1292	70	6	flow	flow	NOUN
fumecheng-1292	70	7	,	,	PUNCT
fumecheng-1292	70	8	our	our	PRON
fumecheng-1292	70	9	equation	equation	NOUN
fumecheng-1292	70	10	after	after	ADP
fumecheng-1292	70	11	projection	projection	NOUN
fumecheng-1292	70	12	onto	onto	ADP
fumecheng-1292	70	13	z	z	NOUN
fumecheng-1292	70	14	direction	direction	NOUN
fumecheng-1292	70	15	becomes	become	VERB
fumecheng-1292	70	16	:	:	PUNCT
fumecheng-1292	70	17	2	2	NUM
fumecheng-1292	70	18	2	2	NUM
fumecheng-1292	70	19	(	(	PUNCT
fumecheng-1292	70	20	)	)	PUNCT
fumecheng-1292	70	21	sin	sin	NOUN
fumecheng-1292	70	22	(	(	PUNCT
fumecheng-1292	70	23	)	)	PUNCT
fumecheng-1292	70	24	cos	cos	PROPN
fumecheng-1292	70	25	(	(	PUNCT
fumecheng-1292	70	26	)	)	PUNCT
fumecheng-1292	71	1	d	d	PROPN
fumecheng-1292	71	2	d	d	PROPN
fumecheng-1292	71	3	v	v	ADP
fumecheng-1292	71	4	t	t	PROPN
fumecheng-1292	71	5	t	t	PROPN
fumecheng-1292	71	6	t	t	PROPN
fumecheng-1292	71	7	t	t	PROPN
fumecheng-1292	71	8	g	g	PROPN
fumecheng-1292	71	9	t	t	PROPN
fumecheng-1292	71	10	dy	dy	PROPN
fumecheng-1292	71	11	dx	dx	PROPN
fumecheng-1292	71	12			PROPN
fumecheng-1292	71	13			PROPN
fumecheng-1292	71	14			INTJ
fumecheng-1292	72	1			X
fumecheng-1292	72	2			NUM
fumecheng-1292	72	3			NUM
fumecheng-1292	72	4			PROPN
fumecheng-1292	72	5			PROPN
fumecheng-1292	72	6			PROPN
fumecheng-1292	72	7			PUNCT
fumecheng-1292	72	8			PROPN
fumecheng-1292	72	9			PROPN
fumecheng-1292	72	10			NOUN
fumecheng-1292	72	11			PROPN
fumecheng-1292	72	12			PROPN
fumecheng-1292	72	13			PROPN
fumecheng-1292	72	14			PROPN
fumecheng-1292	72	15			ADJ
fumecheng-1292	72	16			ADJ
fumecheng-1292	72	17			NOUN
fumecheng-1292	72	18			PROPN
fumecheng-1292	72	19	(	(	PUNCT
fumecheng-1292	72	20	9	9	NUM
fumecheng-1292	72	21	)	)	PUNCT
fumecheng-1292	72	22	where	where	SCONJ
fumecheng-1292	72	23	we	we	PRON
fumecheng-1292	72	24	have	have	AUX
fumecheng-1292	72	25	denoted	denote	VERB
fumecheng-1292	72	26			PROPN
fumecheng-1292	72	27			PROPN
fumecheng-1292	72	28	z	z	PROPN
fumecheng-1292	72	29	.	.	PUNCT
fumecheng-1292	73	1	the	the	DET
fumecheng-1292	73	2	problem	problem	NOUN
fumecheng-1292	73	3	can	can	AUX
fumecheng-1292	73	4	be	be	AUX
fumecheng-1292	73	5	made	make	VERB
fumecheng-1292	73	6	dimensionless	dimensionless	NOUN
fumecheng-1292	73	7	by	by	ADP
fumecheng-1292	73	8	using	use	VERB
fumecheng-1292	73	9	the	the	DET
fumecheng-1292	73	10	following	follow	VERB
fumecheng-1292	73	11	characteristic	characteristic	ADJ
fumecheng-1292	73	12	scales	scale	NOUN
fumecheng-1292	73	13	:	:	PUNCT
fumecheng-1292	73	14	l	l	NOUN
fumecheng-1292	73	15	=	=	PUNCT
fumecheng-1292	73	16	h	h	PROPN
fumecheng-1292	73	17	for	for	ADP
fumecheng-1292	73	18	length	length	NOUN
fumecheng-1292	73	19	,	,	PUNCT
fumecheng-1292	73	20	t	t	NOUN
fumecheng-1292	73	21	=	=	SYM
fumecheng-1292	73	22	h2	h2	PROPN
fumecheng-1292	73	23	/	/	SYM
fumecheng-1292	73	24	a	a	PRON
fumecheng-1292	73	25	for	for	ADP
fumecheng-1292	73	26	time	time	NOUN
fumecheng-1292	73	27	and	and	CCONJ
fumecheng-1292	73	28	v	v	NOUN
fumecheng-1292	73	29	=	=	SYM
fumecheng-1292	73	30	a	a	DET
fumecheng-1292	73	31	/	/	SYM
fumecheng-1292	73	32	h	h	NOUN
fumecheng-1292	73	33	for	for	ADP
fumecheng-1292	73	34	velocity	velocity	NOUN
fumecheng-1292	73	35	.	.	PUNCT
fumecheng-1292	74	1	after	after	ADP
fumecheng-1292	74	2	rendering	render	VERB
fumecheng-1292	74	3	those	those	DET
fumecheng-1292	74	4	equations	equation	NOUN
fumecheng-1292	74	5	dimensionless	dimensionless	NOUN
fumecheng-1292	74	6	,	,	PUNCT
fumecheng-1292	74	7	we	we	PRON
fumecheng-1292	74	8	change	change	VERB
fumecheng-1292	74	9	the	the	DET
fumecheng-1292	74	10	variables	variable	NOUN
fumecheng-1292	74	11	introduced	introduce	VERB
fumecheng-1292	74	12	in	in	ADP
fumecheng-1292	74	13	order	order	NOUN
fumecheng-1292	74	14	to	to	PART
fumecheng-1292	74	15	transform	transform	VERB
fumecheng-1292	74	16	the	the	DET
fumecheng-1292	74	17	physical	physical	ADJ
fumecheng-1292	74	18	domain	domain	NOUN
fumecheng-1292	74	19	into	into	ADP
fumecheng-1292	74	20	the	the	DET
fumecheng-1292	74	21	computational	computational	ADJ
fumecheng-1292	74	22	one	one	NOUN
fumecheng-1292	74	23	which	which	PRON
fumecheng-1292	74	24	is	be	AUX
fumecheng-1292	74	25	adopted	adopt	VERB
fumecheng-1292	74	26	to	to	ADP
fumecheng-1292	74	27	the	the	DET
fumecheng-1292	74	28	fourier	fourier	NOUN
fumecheng-1292	74	29	-	-	PUNCT
fumecheng-1292	74	30	chebyshev	chebyshev	NOUN
fumecheng-1292	74	31	approximation	approximation	NOUN
fumecheng-1292	74	32	,	,	PUNCT
fumecheng-1292	74	33	namely	namely	ADV
fumecheng-1292	74	34			VERB
fumecheng-1292	74	35			NOUN
fumecheng-1292	74	36	x	x	SYM
fumecheng-1292	74	37	*	*	PUNCT
fumecheng-1292	74	38			NUM
fumecheng-1292	74	39	2	2	NUM
fumecheng-1292	74	40	and	and	CCONJ
fumecheng-1292	74	41			VERB
fumecheng-1292	74	42			NOUN
fumecheng-1292	74	43	y	y	NOUN
fumecheng-1292	74	44			NOUN
fumecheng-1292	74	45	.	.	VERB
fumecheng-1292	74	46	the	the	DET
fumecheng-1292	74	47	flow	flow	NOUN
fumecheng-1292	74	48	variables	variable	NOUN
fumecheng-1292	74	49	are	be	AUX
fumecheng-1292	74	50	reduced	reduce	VERB
fumecheng-1292	74	51	by	by	ADP
fumecheng-1292	74	52	scale	scale	NOUN
fumecheng-1292	74	53	factor	factor	NOUN
fumecheng-1292	74	54	to	to	PART
fumecheng-1292	74	55	obtain	obtain	VERB
fumecheng-1292	74	56	the	the	DET
fumecheng-1292	74	57	following	follow	VERB
fumecheng-1292	74	58	coordinate	coordinate	NOUN
fumecheng-1292	74	59	transformation	transformation	NOUN
fumecheng-1292	74	60	:	:	PUNCT
fumecheng-1292	75	1	*	*	PUNCT
fumecheng-1292	76	1	*	*	PUNCT
fumecheng-1292	76	2	*	*	PUNCT
fumecheng-1292	76	3	*	*	PUNCT
fumecheng-1292	76	4	2	2	NUM
fumecheng-1292	76	5	*	*	PUNCT
fumecheng-1292	76	6	*	*	PUNCT
fumecheng-1292	77	1	*	*	PUNCT
fumecheng-1292	78	1	*	*	PUNCT
fumecheng-1292	79	1	*	*	PUNCT
fumecheng-1292	80	1	*	*	PUNCT
fumecheng-1292	80	2	*	*	PUNCT
fumecheng-1292	80	3	*	*	PUNCT
fumecheng-1292	80	4	2	2	NUM
fumecheng-1292	80	5	2	2	NUM
fumecheng-1292	80	6	*	*	PUNCT
fumecheng-1292	81	1	*	*	PUNCT
fumecheng-1292	81	2	*	*	PUNCT
fumecheng-1292	81	3	*	*	PUNCT
fumecheng-1292	81	4	2	2	NUM
fumecheng-1292	81	5	,	,	PUNCT
fumecheng-1292	81	6	,	,	PUNCT
fumecheng-1292	81	7	1	1	NUM
fumecheng-1292	81	8	1	1	NUM
fumecheng-1292	81	9	1	1	NUM
fumecheng-1292	81	10	1	1	NUM
fumecheng-1292	81	11	,	,	PUNCT
fumecheng-1292	81	12	,	,	PUNCT
fumecheng-1292	81	13	x	x	PUNCT
fumecheng-1292	82	1	lx	lx	NOUN
fumecheng-1292	82	2	hx	hx	PROPN
fumecheng-1292	82	3	y	y	PROPN
fumecheng-1292	82	4	ly	ly	INTJ
fumecheng-1292	82	5	hy	hy	PROPN
fumecheng-1292	82	6	a	a	DET
fumecheng-1292	82	7	h	h	NOUN
fumecheng-1292	82	8	v	v	NOUN
fumecheng-1292	82	9	vv	vv	ADP
fumecheng-1292	82	10	v	v	ADP
fumecheng-1292	82	11	t	t	X
fumecheng-1292	82	12	tt	tt	PROPN
fumecheng-1292	82	13	t	t	PROPN
fumecheng-1292	82	14	h	h	NOUN
fumecheng-1292	82	15	a	a	DET
fumecheng-1292	82	16	l	l	NOUN
fumecheng-1292	82	17	h	h	NOUN
fumecheng-1292	83	1	l	l	NOUN
fumecheng-1292	84	1	h	h	NOUN
fumecheng-1292	85	1	v	v	ADP
fumecheng-1292	85	2	a	a	DET
fumecheng-1292	85	3	a	a	DET
fumecheng-1292	85	4	vl	vl	NOUN
fumecheng-1292	85	5	l	l	NOUN
fumecheng-1292	85	6	hh	hh	PROPN
fumecheng-1292	86	1			X
fumecheng-1292	86	2			X
fumecheng-1292	86	3			X
fumecheng-1292	86	4			NOUN
fumecheng-1292	86	5			NOUN
fumecheng-1292	86	6			NOUN
fumecheng-1292	87	1			NOUN
fumecheng-1292	87	2			NOUN
fumecheng-1292	88	1			NOUN
fumecheng-1292	89	1			PRON
fumecheng-1292	90	1			NOUN
fumecheng-1292	91	1			PRON
fumecheng-1292	92	1			PRON
fumecheng-1292	92	2			PROPN
fumecheng-1292	92	3			NOUN
fumecheng-1292	92	4			NUM
fumecheng-1292	92	5			NOUN
fumecheng-1292	92	6			NUM
fumecheng-1292	92	7			NOUN
fumecheng-1292	92	8			NOUN
fumecheng-1292	93	1			NUM
fumecheng-1292	93	2			NOUN
fumecheng-1292	94	1			NUM
fumecheng-1292	94	2			NOUN
fumecheng-1292	95	1			NUM
fumecheng-1292	95	2			ADJ
fumecheng-1292	96	1			NUM
fumecheng-1292	96	2			NOUN
fumecheng-1292	96	3	(	(	PUNCT
fumecheng-1292	96	4	10	10	NUM
fumecheng-1292	96	5	)	)	PUNCT
fumecheng-1292	96	6	substituting	substitute	VERB
fumecheng-1292	96	7	the	the	DET
fumecheng-1292	96	8	above	above	ADJ
fumecheng-1292	96	9	coordinate	coordinate	NOUN
fumecheng-1292	96	10	transformation	transformation	NOUN
fumecheng-1292	96	11	in	in	ADP
fumecheng-1292	96	12	the	the	DET
fumecheng-1292	96	13	vorticity	vorticity	NOUN
fumecheng-1292	96	14	equation	equation	NOUN
fumecheng-1292	96	15	,	,	PUNCT
fumecheng-1292	96	16	we	we	PRON
fumecheng-1292	96	17	have	have	VERB
fumecheng-1292	96	18	:	:	PUNCT
fumecheng-1292	96	19	*	*	PUNCT
fumecheng-1292	96	20	*	*	PUNCT
fumecheng-1292	97	1	*	*	PUNCT
fumecheng-1292	98	1	*	*	PUNCT
fumecheng-1292	99	1	*	*	PUNCT
fumecheng-1292	100	1	*	*	PUNCT
fumecheng-1292	100	2	*	*	PUNCT
fumecheng-1292	100	3	2	2	NUM
fumecheng-1292	100	4	2	2	NUM
fumecheng-1292	100	5	2	2	NUM
fumecheng-1292	100	6	*	*	SYM
fumecheng-1292	100	7	*	*	SYM
fumecheng-1292	100	8	1	1	NUM
fumecheng-1292	100	9	1	1	NUM
fumecheng-1292	100	10	(	(	PUNCT
fumecheng-1292	100	11	)	)	PUNCT
fumecheng-1292	100	12	sin	sin	NOUN
fumecheng-1292	100	13	(	(	PUNCT
fumecheng-1292	100	14	)	)	PUNCT
fumecheng-1292	100	15	cos	cos	PROPN
fumecheng-1292	100	16	(	(	PUNCT
fumecheng-1292	100	17	)	)	PUNCT
fumecheng-1292	100	18	v	v	NOUN
fumecheng-1292	100	19	v	v	X
fumecheng-1292	100	20	vl	vl	INTJ
fumecheng-1292	100	21	vv	vv	ADP
fumecheng-1292	100	22	l	l	PROPN
fumecheng-1292	100	23	l	l	X
fumecheng-1292	100	24	ltt	ltt	PROPN
fumecheng-1292	101	1	l	l	NOUN
fumecheng-1292	101	2	g	g	PROPN
fumecheng-1292	102	1	d	d	PROPN
fumecheng-1292	102	2	d	d	PROPN
fumecheng-1292	102	3	t	t	PROPN
fumecheng-1292	102	4	t	t	PROPN
fumecheng-1292	102	5	t	t	PROPN
fumecheng-1292	102	6	t	t	PROPN
fumecheng-1292	102	7	l	l	PROPN
fumecheng-1292	102	8	dy	dy	NOUN
fumecheng-1292	102	9	dx	dx	PROPN
fumecheng-1292	102	10			PROPN
fumecheng-1292	102	11			PROPN
fumecheng-1292	102	12			INTJ
fumecheng-1292	102	13			PROPN
fumecheng-1292	102	14			PROPN
fumecheng-1292	102	15			NUM
fumecheng-1292	102	16			PROPN
fumecheng-1292	102	17			NOUN
fumecheng-1292	102	18			PROPN
fumecheng-1292	102	19			VERB
fumecheng-1292	102	20			PROPN
fumecheng-1292	102	21			NOUN
fumecheng-1292	102	22			PROPN
fumecheng-1292	102	23			NOUN
fumecheng-1292	102	24			PROPN
fumecheng-1292	102	25			NOUN
fumecheng-1292	102	26			VERB
fumecheng-1292	102	27			PROPN
fumecheng-1292	102	28			ADJ
fumecheng-1292	102	29			NOUN
fumecheng-1292	102	30			NOUN
fumecheng-1292	102	31			PUNCT
fumecheng-1292	102	32			PROPN
fumecheng-1292	103	1			PROPN
fumecheng-1292	104	1			PROPN
fumecheng-1292	104	2			ADJ
fumecheng-1292	104	3			PROPN
fumecheng-1292	104	4			PROPN
fumecheng-1292	104	5			PROPN
fumecheng-1292	104	6			NOUN
fumecheng-1292	104	7			PRON
fumecheng-1292	104	8			ADJ
fumecheng-1292	104	9			PROPN
fumecheng-1292	104	10			PROPN
fumecheng-1292	104	11			PROPN
fumecheng-1292	104	12			PROPN
fumecheng-1292	104	13			NOUN
fumecheng-1292	104	14			NOUN
fumecheng-1292	104	15			PROPN
fumecheng-1292	104	16	(	(	PUNCT
fumecheng-1292	104	17	11	11	NUM
fumecheng-1292	104	18	)	)	PUNCT
fumecheng-1292	104	19	or	or	CCONJ
fumecheng-1292	104	20	in	in	ADP
fumecheng-1292	104	21	the	the	DET
fumecheng-1292	104	22	following	follow	VERB
fumecheng-1292	104	23	forms	form	NOUN
fumecheng-1292	104	24	:	:	PUNCT
fumecheng-1292	104	25	*	*	PUNCT
fumecheng-1292	104	26	2	2	X
fumecheng-1292	105	1	*	*	PUNCT
fumecheng-1292	105	2	*	*	PUNCT
fumecheng-1292	106	1	*	*	PUNCT
fumecheng-1292	106	2	*	*	PUNCT
fumecheng-1292	106	3	2	2	NUM
fumecheng-1292	106	4	2	2	NUM
fumecheng-1292	106	5	*	*	SYM
fumecheng-1292	106	6	2	2	NUM
fumecheng-1292	106	7	3	3	NUM
fumecheng-1292	106	8	*	*	PUNCT
fumecheng-1292	106	9	*	*	PUNCT
fumecheng-1292	106	10	(	(	PUNCT
fumecheng-1292	106	11	)	)	PUNCT
fumecheng-1292	106	12	sin	sin	NOUN
fumecheng-1292	106	13	(	(	PUNCT
fumecheng-1292	106	14	)	)	PUNCT
fumecheng-1292	106	15	cos	cos	PROPN
fumecheng-1292	106	16	(	(	PUNCT
fumecheng-1292	106	17	)	)	PUNCT
fumecheng-1292	106	18	v	v	NOUN
fumecheng-1292	106	19	v	v	NOUN
fumecheng-1292	106	20	v	v	NOUN
fumecheng-1292	106	21	g	g	PROPN
fumecheng-1292	106	22	d	d	PROPN
fumecheng-1292	106	23	d	d	PROPN
fumecheng-1292	106	24	v	v	ADP
fumecheng-1292	106	25	t	t	PROPN
fumecheng-1292	106	26	t	t	PROPN
fumecheng-1292	106	27	t	t	PROPN
fumecheng-1292	106	28	t	t	PROPN
fumecheng-1292	106	29	lt	lt	VERB
fumecheng-1292	107	1	lt	lt	PROPN
fumecheng-1292	107	2	l	l	PROPN
fumecheng-1292	107	3	l	l	NOUN
fumecheng-1292	107	4	dy	dy	NOUN
fumecheng-1292	107	5	dx	dx	PROPN
fumecheng-1292	107	6			PROPN
fumecheng-1292	107	7			PROPN
fumecheng-1292	107	8			NOUN
fumecheng-1292	108	1			PUNCT
fumecheng-1292	108	2			NUM
fumecheng-1292	108	3			NUM
fumecheng-1292	108	4			DET
fumecheng-1292	108	5			ADJ
fumecheng-1292	108	6			PUNCT
fumecheng-1292	108	7			PROPN
fumecheng-1292	108	8			PROPN
fumecheng-1292	108	9			NOUN
fumecheng-1292	109	1			PROPN
fumecheng-1292	109	2			PROPN
fumecheng-1292	109	3			PROPN
fumecheng-1292	109	4			PROPN
fumecheng-1292	109	5			PROPN
fumecheng-1292	109	6			ADJ
fumecheng-1292	109	7			ADJ
fumecheng-1292	109	8			NOUN
fumecheng-1292	109	9			PROPN
fumecheng-1292	109	10	(	(	PUNCT
fumecheng-1292	109	11	12	12	NUM
fumecheng-1292	109	12	)	)	PUNCT
fumecheng-1292	109	13	2	2	NUM
fumecheng-1292	109	14	*	*	SYM
fumecheng-1292	109	15	2	2	NUM
fumecheng-1292	109	16	*	*	PUNCT
fumecheng-1292	110	1	*	*	PUNCT
fumecheng-1292	110	2	*	*	PUNCT
fumecheng-1292	110	3	*	*	PUNCT
fumecheng-1292	110	4	2	2	NUM
fumecheng-1292	110	5	24	24	NUM
fumecheng-1292	110	6	*	*	SYM
fumecheng-1292	110	7	4	4	NUM
fumecheng-1292	110	8	4	4	NUM
fumecheng-1292	110	9	*	*	PUNCT
fumecheng-1292	110	10	*	*	PUNCT
fumecheng-1292	110	11	(	(	PUNCT
fumecheng-1292	110	12	)	)	PUNCT
fumecheng-1292	110	13	sin	sin	NOUN
fumecheng-1292	110	14	(	(	PUNCT
fumecheng-1292	110	15	)	)	PUNCT
fumecheng-1292	110	16	cos	cos	PROPN
fumecheng-1292	110	17	(	(	PUNCT
fumecheng-1292	110	18	)	)	PUNCT
fumecheng-1292	110	19	a	a	PRON
fumecheng-1292	110	20	a	a	PRON
fumecheng-1292	110	21	a	a	DET
fumecheng-1292	110	22	g	g	NOUN
fumecheng-1292	111	1	d	d	PROPN
fumecheng-1292	111	2	d	d	PROPN
fumecheng-1292	111	3	v	v	ADP
fumecheng-1292	111	4	t	t	PROPN
fumecheng-1292	111	5	t	t	PROPN
fumecheng-1292	111	6	t	t	PROPN
fumecheng-1292	111	7	t	t	PROPN
fumecheng-1292	111	8	hh	hh	PROPN
fumecheng-1292	111	9	t	t	PROPN
fumecheng-1292	111	10	h	h	NOUN
fumecheng-1292	111	11	h	h	PROPN
fumecheng-1292	111	12	dy	dy	PROPN
fumecheng-1292	111	13	dx	dx	PROPN
fumecheng-1292	112	1			PROPN
fumecheng-1292	112	2			PROPN
fumecheng-1292	112	3			NOUN
fumecheng-1292	113	1			PUNCT
fumecheng-1292	113	2			NUM
fumecheng-1292	113	3			NUM
fumecheng-1292	113	4			DET
fumecheng-1292	113	5			ADJ
fumecheng-1292	113	6			PUNCT
fumecheng-1292	113	7			PROPN
fumecheng-1292	113	8			PROPN
fumecheng-1292	113	9			NOUN
fumecheng-1292	114	1			PROPN
fumecheng-1292	114	2			PROPN
fumecheng-1292	114	3			PROPN
fumecheng-1292	114	4			PROPN
fumecheng-1292	114	5			PROPN
fumecheng-1292	114	6			ADJ
fumecheng-1292	114	7			ADJ
fumecheng-1292	114	8			NOUN
fumecheng-1292	114	9			PROPN
fumecheng-1292	114	10	(	(	PUNCT
fumecheng-1292	114	11	13	13	NUM
fumecheng-1292	114	12	)	)	PUNCT
fumecheng-1292	114	13	instability	instability	NOUN
fumecheng-1292	114	14	of	of	ADP
fumecheng-1292	114	15	rayleigh	rayleigh	NOUN
fumecheng-1292	114	16	-	-	PUNCT
fumecheng-1292	114	17	bénard	bénard	NOUN
fumecheng-1292	114	18	convection	convection	NOUN
fumecheng-1292	114	19	for	for	ADP
fumecheng-1292	114	20	inclined	inclined	ADJ
fumecheng-1292	114	21	lower	low	ADJ
fumecheng-1292	114	22	wall	wall	NOUN
fumecheng-1292	114	23	with	with	ADP
fumecheng-1292	114	24	temperature	temperature	NOUN
fumecheng-1292	114	25	variation	variation	NOUN
fumecheng-1292	114	26	183	183	NUM
fumecheng-1292	114	27	if	if	SCONJ
fumecheng-1292	114	28	we	we	PRON
fumecheng-1292	114	29	multiply	multiply	VERB
fumecheng-1292	114	30	this	this	DET
fumecheng-1292	114	31	equation	equation	NOUN
fumecheng-1292	114	32	with	with	ADP
fumecheng-1292	114	33	h4	h4	PROPN
fumecheng-1292	114	34	/	/	SYM
fumecheng-1292	114	35	a2	a2	PROPN
fumecheng-1292	114	36	the	the	DET
fumecheng-1292	114	37	above	above	ADJ
fumecheng-1292	114	38	equation	equation	NOUN
fumecheng-1292	114	39	yields	yield	VERB
fumecheng-1292	114	40	:	:	PUNCT
fumecheng-1292	115	1	3	3	X
fumecheng-1292	115	2	*	*	PUNCT
fumecheng-1292	115	3	*	*	PUNCT
fumecheng-1292	116	1	*	*	PUNCT
fumecheng-1292	116	2	*	*	PUNCT
fumecheng-1292	116	3	*	*	PUNCT
fumecheng-1292	116	4	1	1	NUM
fumecheng-1292	116	5	2	2	NUM
fumecheng-1292	116	6	2	2	NUM
fumecheng-1292	116	7	1	1	NUM
fumecheng-1292	116	8	2	2	NUM
fumecheng-1292	116	9	*	*	PUNCT
fumecheng-1292	117	1	*	*	PUNCT
fumecheng-1292	117	2	*	*	PUNCT
fumecheng-1292	117	3	1	1	NUM
fumecheng-1292	117	4	2	2	NUM
fumecheng-1292	117	5	1	1	NUM
fumecheng-1292	117	6	2	2	NUM
fumecheng-1292	117	7	(	(	PUNCT
fumecheng-1292	117	8	)	)	PUNCT
fumecheng-1292	117	9	(	(	PUNCT
fumecheng-1292	117	10	)	)	PUNCT
fumecheng-1292	117	11	(	(	PUNCT
fumecheng-1292	117	12	)	)	PUNCT
fumecheng-1292	117	13	(	(	PUNCT
fumecheng-1292	117	14	)	)	PUNCT
fumecheng-1292	117	15	sin	sin	NOUN
fumecheng-1292	117	16	cos	cos	PROPN
fumecheng-1292	117	17	(	(	PUNCT
fumecheng-1292	117	18	)	)	PUNCT
fumecheng-1292	118	1	(	(	PUNCT
fumecheng-1292	118	2	)	)	PUNCT
fumecheng-1292	118	3	h	h	NOUN
fumecheng-1292	118	4	g	g	PROPN
fumecheng-1292	118	5	t	t	PROPN
fumecheng-1292	118	6	t	t	PROPN
fumecheng-1292	119	1	t	t	PROPN
fumecheng-1292	119	2	t	t	PROPN
fumecheng-1292	119	3	t	t	PROPN
fumecheng-1292	119	4	td	td	PROPN
fumecheng-1292	119	5	d	d	X
fumecheng-1292	119	6	v	v	NOUN
fumecheng-1292	119	7	a	a	PRON
fumecheng-1292	119	8	a	a	DET
fumecheng-1292	119	9	t	t	NOUN
fumecheng-1292	119	10	t	t	NOUN
fumecheng-1292	119	11	t	t	PROPN
fumecheng-1292	119	12	tt	tt	PROPN
fumecheng-1292	119	13	dy	dy	PROPN
fumecheng-1292	119	14	dx	dx	PROPN
fumecheng-1292	119	15			PROPN
fumecheng-1292	119	16			INTJ
fumecheng-1292	120	1			PUNCT
fumecheng-1292	120	2			NUM
fumecheng-1292	120	3			NUM
fumecheng-1292	120	4			PROPN
fumecheng-1292	120	5			PROPN
fumecheng-1292	120	6			PROPN
fumecheng-1292	120	7			PRON
fumecheng-1292	120	8			PRON
fumecheng-1292	120	9			PROPN
fumecheng-1292	120	10			PROPN
fumecheng-1292	120	11			NOUN
fumecheng-1292	120	12			NUM
fumecheng-1292	120	13			PROPN
fumecheng-1292	120	14			PROPN
fumecheng-1292	120	15			PROPN
fumecheng-1292	120	16			NOUN
fumecheng-1292	120	17			PRON
fumecheng-1292	120	18			VERB
fumecheng-1292	120	19			PROPN
fumecheng-1292	120	20	(	(	PUNCT
fumecheng-1292	120	21	14	14	NUM
fumecheng-1292	120	22	)	)	PUNCT
fumecheng-1292	120	23	3	3	NUM
fumecheng-1292	120	24	*	*	PUNCT
fumecheng-1292	120	25	*	*	PUNCT
fumecheng-1292	121	1	*	*	PUNCT
fumecheng-1292	121	2	*	*	PUNCT
fumecheng-1292	121	3	*	*	PUNCT
fumecheng-1292	121	4	1	1	NUM
fumecheng-1292	121	5	2	2	NUM
fumecheng-1292	121	6	2	2	NUM
fumecheng-1292	121	7	1	1	NUM
fumecheng-1292	121	8	2	2	NUM
fumecheng-1292	121	9	*	*	PUNCT
fumecheng-1292	122	1	*	*	PUNCT
fumecheng-1292	122	2	*	*	PUNCT
fumecheng-1292	122	3	1	1	NUM
fumecheng-1292	122	4	2	2	NUM
fumecheng-1292	122	5	1	1	NUM
fumecheng-1292	122	6	2	2	NUM
fumecheng-1292	122	7	(	(	PUNCT
fumecheng-1292	122	8	)	)	PUNCT
fumecheng-1292	122	9	(	(	PUNCT
fumecheng-1292	122	10	)	)	PUNCT
fumecheng-1292	122	11	(	(	PUNCT
fumecheng-1292	122	12	)	)	PUNCT
fumecheng-1292	122	13	(	(	PUNCT
fumecheng-1292	122	14	)	)	PUNCT
fumecheng-1292	122	15	sin	sin	NOUN
fumecheng-1292	122	16	cos	cos	PROPN
fumecheng-1292	122	17	(	(	PUNCT
fumecheng-1292	122	18	)	)	PUNCT
fumecheng-1292	123	1	(	(	PUNCT
fumecheng-1292	123	2	)	)	PUNCT
fumecheng-1292	123	3	h	h	NOUN
fumecheng-1292	123	4	g	g	PROPN
fumecheng-1292	123	5	t	t	PROPN
fumecheng-1292	123	6	t	t	PROPN
fumecheng-1292	124	1	t	t	PROPN
fumecheng-1292	124	2	t	t	PROPN
fumecheng-1292	124	3	t	t	PROPN
fumecheng-1292	124	4	td	td	PROPN
fumecheng-1292	124	5	d	d	X
fumecheng-1292	124	6	v	v	NOUN
fumecheng-1292	124	7	a	a	PRON
fumecheng-1292	124	8	a	a	DET
fumecheng-1292	124	9	a	a	DET
fumecheng-1292	124	10	t	t	NOUN
fumecheng-1292	124	11	t	t	NOUN
fumecheng-1292	124	12	t	t	PROPN
fumecheng-1292	124	13	tt	tt	PROPN
fumecheng-1292	124	14	dy	dy	PROPN
fumecheng-1292	124	15	dx	dx	PROPN
fumecheng-1292	124	16			PROPN
fumecheng-1292	124	17			PROPN
fumecheng-1292	124	18			NOUN
fumecheng-1292	125	1			X
fumecheng-1292	125	2			NUM
fumecheng-1292	125	3			NUM
fumecheng-1292	125	4			NOUN
fumecheng-1292	126	1			DET
fumecheng-1292	126	2			PROPN
fumecheng-1292	126	3			PROPN
fumecheng-1292	126	4			PRON
fumecheng-1292	126	5			PRON
fumecheng-1292	126	6			PROPN
fumecheng-1292	126	7			PROPN
fumecheng-1292	126	8			NOUN
fumecheng-1292	126	9			NUM
fumecheng-1292	126	10			PROPN
fumecheng-1292	126	11			PROPN
fumecheng-1292	126	12			NOUN
fumecheng-1292	126	13			PRON
fumecheng-1292	126	14			VERB
fumecheng-1292	126	15			PROPN
fumecheng-1292	126	16	(	(	PUNCT
fumecheng-1292	126	17	15	15	NUM
fumecheng-1292	126	18	)	)	PUNCT
fumecheng-1292	126	19	non	non	ADJ
fumecheng-1292	126	20	-	-	ADJ
fumecheng-1292	126	21	dimensional	dimensional	ADJ
fumecheng-1292	126	22	temperature	temperature	NOUN
fumecheng-1292	126	23	is	be	AUX
fumecheng-1292	126	24	defined	define	VERB
fumecheng-1292	126	25	with	with	ADP
fumecheng-1292	126	26	:	:	PUNCT
fumecheng-1292	126	27	*	*	SYM
fumecheng-1292	126	28	2	2	NUM
fumecheng-1292	126	29	1	1	NUM
fumecheng-1292	126	30	2	2	NUM
fumecheng-1292	126	31	t	t	NOUN
fumecheng-1292	126	32	t	t	NOUN
fumecheng-1292	126	33	t	t	PROPN
fumecheng-1292	126	34	t	t	NOUN
fumecheng-1292	126	35			PROPN
fumecheng-1292	126	36			VERB
fumecheng-1292	126	37			PROPN
fumecheng-1292	126	38			PROPN
fumecheng-1292	126	39	(	(	PUNCT
fumecheng-1292	126	40	16	16	NUM
fumecheng-1292	126	41	)	)	PUNCT
fumecheng-1292	126	42	rayleigh	rayleigh	NOUN
fumecheng-1292	126	43	number	number	NOUN
fumecheng-1292	126	44	by	by	ADP
fumecheng-1292	126	45	eq	eq	PROPN
fumecheng-1292	126	46	.	.	PUNCT
fumecheng-1292	127	1	(	(	PUNCT
fumecheng-1292	127	2	1	1	NUM
fumecheng-1292	127	3	)	)	PUNCT
fumecheng-1292	127	4	and	and	CCONJ
fumecheng-1292	127	5	prandtl	prandtl	NOUN
fumecheng-1292	127	6	number	number	NOUN
fumecheng-1292	127	7	as	as	ADP
fumecheng-1292	127	8	ratio	ratio	NOUN
fumecheng-1292	127	9	of	of	ADP
fumecheng-1292	127	10	kinematic	kinematic	ADJ
fumecheng-1292	127	11	viscosity	viscosity	NOUN
fumecheng-1292	127	12	to	to	ADP
fumecheng-1292	127	13	thermal	thermal	ADJ
fumecheng-1292	127	14	diffusivity	diffusivity	NOUN
fumecheng-1292	127	15	:	:	PUNCT
fumecheng-1292	127	16	pr	pr	VERB
fumecheng-1292	127	17	a	a	DET
fumecheng-1292	127	18			NOUN
fumecheng-1292	127	19			NOUN
fumecheng-1292	127	20	(	(	PUNCT
fumecheng-1292	127	21	17	17	NUM
fumecheng-1292	127	22	)	)	PUNCT
fumecheng-1292	127	23	now	now	ADV
fumecheng-1292	127	24	,	,	PUNCT
fumecheng-1292	127	25	after	after	ADP
fumecheng-1292	127	26	substitution	substitution	NOUN
fumecheng-1292	127	27	of	of	ADP
fumecheng-1292	127	28	eqs	eqs	PROPN
fumecheng-1292	127	29	.	.	PUNCT
fumecheng-1292	128	1	(	(	PUNCT
fumecheng-1292	128	2	17	17	NUM
fumecheng-1292	128	3	)	)	PUNCT
fumecheng-1292	128	4	and	and	CCONJ
fumecheng-1292	128	5	(	(	PUNCT
fumecheng-1292	128	6	16	16	NUM
fumecheng-1292	128	7	)	)	PUNCT
fumecheng-1292	128	8	in	in	ADP
fumecheng-1292	128	9	(	(	PUNCT
fumecheng-1292	128	10	15	15	X
fumecheng-1292	128	11	)	)	PUNCT
fumecheng-1292	128	12	we	we	PRON
fumecheng-1292	128	13	have	have	VERB
fumecheng-1292	128	14	:	:	PUNCT
fumecheng-1292	129	1	*	*	PUNCT
fumecheng-1292	129	2	*	*	PUNCT
fumecheng-1292	130	1	*	*	PUNCT
fumecheng-1292	131	1	*	*	PUNCT
fumecheng-1292	132	1	*	*	PUNCT
fumecheng-1292	133	1	*	*	PUNCT
fumecheng-1292	134	1	*	*	PUNCT
fumecheng-1292	134	2	*	*	PUNCT
fumecheng-1292	134	3	*	*	PUNCT
fumecheng-1292	134	4	(	(	PUNCT
fumecheng-1292	134	5	)	)	PUNCT
fumecheng-1292	134	6	pr	pr	NOUN
fumecheng-1292	134	7	pr	pr	NOUN
fumecheng-1292	134	8	sin	sin	PROPN
fumecheng-1292	134	9	cosv	cosv	PROPN
fumecheng-1292	134	10	ra	ra	PROPN
fumecheng-1292	134	11	t	t	PROPN
fumecheng-1292	135	1	dy	dy	PROPN
fumecheng-1292	135	2	dx	dx	PROPN
fumecheng-1292	136	1			PROPN
fumecheng-1292	137	1			PROPN
fumecheng-1292	137	2			PROPN
fumecheng-1292	137	3			X
fumecheng-1292	137	4			X
fumecheng-1292	137	5			NUM
fumecheng-1292	137	6			NUM
fumecheng-1292	137	7			PRON
fumecheng-1292	137	8			ADJ
fumecheng-1292	137	9			PROPN
fumecheng-1292	137	10			PROPN
fumecheng-1292	137	11			PROPN
fumecheng-1292	137	12			PROPN
fumecheng-1292	137	13			PROPN
fumecheng-1292	137	14			NOUN
fumecheng-1292	137	15			PROPN
fumecheng-1292	137	16			ADJ
fumecheng-1292	137	17			PROPN
fumecheng-1292	137	18			ADJ
fumecheng-1292	137	19			ADJ
fumecheng-1292	137	20			NOUN
fumecheng-1292	137	21			PROPN
fumecheng-1292	137	22	(	(	PUNCT
fumecheng-1292	137	23	18	18	NUM
fumecheng-1292	137	24	)	)	PUNCT
fumecheng-1292	137	25	instead	instead	ADV
fumecheng-1292	137	26	of	of	ADP
fumecheng-1292	137	27	continuity	continuity	NOUN
fumecheng-1292	137	28	equation	equation	NOUN
fumecheng-1292	137	29	the	the	DET
fumecheng-1292	137	30	definition	definition	NOUN
fumecheng-1292	137	31	of	of	ADP
fumecheng-1292	137	32	vorticity	vorticity	NOUN
fumecheng-1292	137	33	is	be	AUX
fumecheng-1292	137	34	used	use	VERB
fumecheng-1292	137	35	here	here	ADV
fumecheng-1292	137	36	:	:	PUNCT
fumecheng-1292	137	37			PROPN
fumecheng-1292	137	38			NOUN
fumecheng-1292	137	39			PROPN
fumecheng-1292	137	40	(	(	PUNCT
fumecheng-1292	137	41	19	19	NUM
fumecheng-1292	137	42	)	)	PUNCT
fumecheng-1292	137	43	after	after	ADP
fumecheng-1292	137	44	scalar	scalar	ADJ
fumecheng-1292	137	45	product	product	NOUN
fumecheng-1292	137	46	with	with	ADP
fumecheng-1292	137	47	k	k	PROPN
fumecheng-1292	137	48	we	we	PRON
fumecheng-1292	137	49	obtain	obtain	VERB
fumecheng-1292	137	50	:	:	PUNCT
fumecheng-1292	137	51	*	*	PUNCT
fumecheng-1292	138	1	*	*	PUNCT
fumecheng-1292	138	2	*	*	PUNCT
fumecheng-1292	138	3	2	2	NUM
fumecheng-1292	138	4	1	1	NUM
fumecheng-1292	138	5	0	0	NUM
fumecheng-1292	138	6	v	v	NOUN
fumecheng-1292	138	7	v	v	NOUN
fumecheng-1292	138	8	vl	vl	PROPN
fumecheng-1292	138	9	l	l	PROPN
fumecheng-1292	138	10	l	l	NOUN
fumecheng-1292	138	11			NOUN
fumecheng-1292	138	12			PROPN
fumecheng-1292	138	13			PROPN
fumecheng-1292	138	14			PROPN
fumecheng-1292	138	15			PUNCT
fumecheng-1292	138	16			PUNCT
fumecheng-1292	139	1			NOUN
fumecheng-1292	139	2	(	(	PUNCT
fumecheng-1292	139	3	20	20	NUM
fumecheng-1292	139	4	)	)	PUNCT
fumecheng-1292	139	5	and	and	CCONJ
fumecheng-1292	139	6	after	after	ADP
fumecheng-1292	139	7	multiplication	multiplication	NOUN
fumecheng-1292	139	8	with	with	ADP
fumecheng-1292	139	9	l	l	NOUN
fumecheng-1292	139	10	/	/	SYM
fumecheng-1292	139	11	v	v	NOUN
fumecheng-1292	139	12	we	we	PRON
fumecheng-1292	139	13	obtain	obtain	VERB
fumecheng-1292	139	14	the	the	DET
fumecheng-1292	139	15	above	above	ADJ
fumecheng-1292	139	16	equation	equation	NOUN
fumecheng-1292	139	17	in	in	ADP
fumecheng-1292	139	18	dimensionless	dimensionless	NOUN
fumecheng-1292	139	19	form	form	NOUN
fumecheng-1292	139	20	:	:	PUNCT
fumecheng-1292	139	21	*	*	PUNCT
fumecheng-1292	140	1	*	*	PUNCT
fumecheng-1292	140	2	*	*	PUNCT
fumecheng-1292	140	3	0	0	NUM
fumecheng-1292	140	4			NOUN
fumecheng-1292	140	5			PROPN
fumecheng-1292	140	6	(	(	PUNCT
fumecheng-1292	140	7	21	21	NUM
fumecheng-1292	140	8	)	)	PUNCT
fumecheng-1292	140	9	the	the	DET
fumecheng-1292	140	10	energy	energy	NOUN
fumecheng-1292	140	11	equation	equation	NOUN
fumecheng-1292	140	12	can	can	AUX
fumecheng-1292	140	13	be	be	AUX
fumecheng-1292	140	14	transformed	transform	VERB
fumecheng-1292	140	15	in	in	ADP
fumecheng-1292	140	16	the	the	DET
fumecheng-1292	140	17	following	following	ADJ
fumecheng-1292	140	18	way	way	NOUN
fumecheng-1292	140	19	:	:	PUNCT
fumecheng-1292	140	20	2	2	NUM
fumecheng-1292	140	21	2	2	NUM
fumecheng-1292	140	22	2	2	NUM
fumecheng-1292	140	23	(	(	PUNCT
fumecheng-1292	140	24	)	)	PUNCT
fumecheng-1292	140	25	(	(	PUNCT
fumecheng-1292	140	26	)	)	PUNCT
fumecheng-1292	140	27	(	(	PUNCT
fumecheng-1292	140	28	)	)	PUNCT
fumecheng-1292	140	29	(	(	PUNCT
fumecheng-1292	140	30	)	)	PUNCT
fumecheng-1292	140	31	t	t	NOUN
fumecheng-1292	140	32	t	t	PROPN
fumecheng-1292	140	33	v	v	X
fumecheng-1292	140	34	t	t	PROPN
fumecheng-1292	140	35	t	t	PROPN
fumecheng-1292	140	36	a	a	DET
fumecheng-1292	140	37	t	t	NOUN
fumecheng-1292	140	38	t	t	NOUN
fumecheng-1292	140	39	t	t	PROPN
fumecheng-1292	140	40			PROPN
fumecheng-1292	140	41			PROPN
fumecheng-1292	140	42			SYM
fumecheng-1292	140	43			PROPN
fumecheng-1292	140	44			PROPN
fumecheng-1292	140	45			PRON
fumecheng-1292	140	46			PUNCT
fumecheng-1292	140	47			NOUN
fumecheng-1292	140	48			ADJ
fumecheng-1292	140	49	(	(	PUNCT
fumecheng-1292	140	50	22	22	NUM
fumecheng-1292	140	51	)	)	PUNCT
fumecheng-1292	140	52	and	and	CCONJ
fumecheng-1292	140	53	dividing	divide	VERB
fumecheng-1292	140	54	the	the	DET
fumecheng-1292	140	55	equation	equation	NOUN
fumecheng-1292	140	56	by	by	ADP
fumecheng-1292	140	57	t1	t1	PROPN
fumecheng-1292	140	58	-	-	PUNCT
fumecheng-1292	140	59	t2	t2	NOUN
fumecheng-1292	140	60	,	,	PUNCT
fumecheng-1292	140	61	it	it	PRON
fumecheng-1292	140	62	yields	yield	VERB
fumecheng-1292	140	63	:	:	PUNCT
fumecheng-1292	140	64	2	2	NUM
fumecheng-1292	140	65	2	2	NUM
fumecheng-1292	140	66	2	2	NUM
fumecheng-1292	140	67	1	1	NUM
fumecheng-1292	140	68	2	2	NUM
fumecheng-1292	140	69	1	1	NUM
fumecheng-1292	140	70	2	2	NUM
fumecheng-1292	140	71	1	1	NUM
fumecheng-1292	140	72	2	2	NUM
fumecheng-1292	140	73	(	(	PUNCT
fumecheng-1292	140	74	)	)	PUNCT
fumecheng-1292	140	75	(	(	PUNCT
fumecheng-1292	140	76	)	)	PUNCT
fumecheng-1292	140	77	(	(	PUNCT
fumecheng-1292	140	78	)	)	PUNCT
fumecheng-1292	140	79	(	(	PUNCT
fumecheng-1292	140	80	)	)	PUNCT
fumecheng-1292	140	81	(	(	PUNCT
fumecheng-1292	140	82	)	)	PUNCT
fumecheng-1292	140	83	(	(	PUNCT
fumecheng-1292	140	84	)	)	PUNCT
fumecheng-1292	140	85	(	(	PUNCT
fumecheng-1292	140	86	)	)	PUNCT
fumecheng-1292	140	87	t	t	NOUN
fumecheng-1292	140	88	t	t	PROPN
fumecheng-1292	140	89	t	t	PROPN
fumecheng-1292	140	90	t	t	PROPN
fumecheng-1292	140	91	t	t	PROPN
fumecheng-1292	140	92	t	t	PROPN
fumecheng-1292	140	93	v	v	PROPN
fumecheng-1292	140	94	a	a	DET
fumecheng-1292	140	95	t	t	NOUN
fumecheng-1292	140	96	t	t	PROPN
fumecheng-1292	140	97	t	t	PROPN
fumecheng-1292	140	98	t	t	PROPN
fumecheng-1292	140	99	t	t	PROPN
fumecheng-1292	140	100	t	t	PROPN
fumecheng-1292	140	101	t	t	PROPN
fumecheng-1292	140	102			PROPN
fumecheng-1292	140	103			PROPN
fumecheng-1292	140	104			PRON
fumecheng-1292	140	105			ADV
fumecheng-1292	140	106			PROPN
fumecheng-1292	140	107			NUM
fumecheng-1292	140	108			NOUN
fumecheng-1292	140	109			ADJ
fumecheng-1292	140	110			PROPN
fumecheng-1292	140	111			PROPN
fumecheng-1292	140	112			PROPN
fumecheng-1292	140	113	(	(	PUNCT
fumecheng-1292	140	114	23	23	NUM
fumecheng-1292	140	115	)	)	PUNCT
fumecheng-1292	140	116	or	or	CCONJ
fumecheng-1292	140	117	:	:	PUNCT
fumecheng-1292	141	1	*	*	PUNCT
fumecheng-1292	141	2	*	*	PUNCT
fumecheng-1292	141	3	*	*	PUNCT
fumecheng-1292	141	4	(	(	PUNCT
fumecheng-1292	141	5	)	)	PUNCT
fumecheng-1292	141	6	v	v	NOUN
fumecheng-1292	141	7	a	a	DET
fumecheng-1292	141	8	t	t	NOUN
fumecheng-1292	141	9			X
fumecheng-1292	141	10			PROPN
fumecheng-1292	141	11			PROPN
fumecheng-1292	141	12			PROPN
fumecheng-1292	141	13			PROPN
fumecheng-1292	141	14			PROPN
fumecheng-1292	141	15			NUM
fumecheng-1292	141	16			NOUN
fumecheng-1292	141	17			ADJ
fumecheng-1292	141	18	(	(	PUNCT
fumecheng-1292	141	19	24	24	NUM
fumecheng-1292	141	20	)	)	PUNCT
fumecheng-1292	141	21	184	184	NUM
fumecheng-1292	141	22	s.	s.	PROPN
fumecheng-1292	141	23	ayed	aye	VERB
fumecheng-1292	141	24	,	,	PUNCT
fumecheng-1292	141	25	g.	g.	PROPN
fumecheng-1292	141	26	ilić	ilić	PROPN
fumecheng-1292	141	27	,	,	PUNCT
fumecheng-1292	141	28	p.	p.	PROPN
fumecheng-1292	141	29	živković	živković	PROPN
fumecheng-1292	141	30	,	,	PUNCT
fumecheng-1292	141	31	m.	m.	NOUN
fumecheng-1292	141	32	vukić	vukić	PROPN
fumecheng-1292	141	33	,	,	PUNCT
fumecheng-1292	141	34	m.	m.	NOUN
fumecheng-1292	141	35	tomić	tomić	NOUN
fumecheng-1292	141	36	substituting	substitute	VERB
fumecheng-1292	141	37	the	the	DET
fumecheng-1292	141	38	expressions	expression	NOUN
fumecheng-1292	141	39	for	for	ADP
fumecheng-1292	141	40	coordinate	coordinate	ADJ
fumecheng-1292	141	41	transformations	transformation	NOUN
fumecheng-1292	141	42	:	:	PUNCT
fumecheng-1292	142	1	*	*	PUNCT
fumecheng-1292	143	1	*	*	PUNCT
fumecheng-1292	144	1	*	*	PUNCT
fumecheng-1292	144	2	*	*	PUNCT
fumecheng-1292	144	3	*	*	PUNCT
fumecheng-1292	144	4	2	2	NUM
fumecheng-1292	144	5	1	1	NUM
fumecheng-1292	144	6	1	1	NUM
fumecheng-1292	144	7	1	1	NUM
fumecheng-1292	144	8	vv	vv	ADP
fumecheng-1292	144	9	a	a	DET
fumecheng-1292	144	10	t	t	NOUN
fumecheng-1292	144	11	t	t	NOUN
fumecheng-1292	144	12	l	l	NOUN
fumecheng-1292	144	13	l	l	X
fumecheng-1292	144	14			X
fumecheng-1292	145	1			PROPN
fumecheng-1292	145	2			PROPN
fumecheng-1292	145	3			PROPN
fumecheng-1292	145	4			NOUN
fumecheng-1292	145	5			PROPN
fumecheng-1292	145	6			VERB
fumecheng-1292	145	7			PROPN
fumecheng-1292	145	8			NOUN
fumecheng-1292	145	9			NUM
fumecheng-1292	145	10			NOUN
fumecheng-1292	146	1			PROPN
fumecheng-1292	146	2			ADJ
fumecheng-1292	146	3			PROPN
fumecheng-1292	146	4			NOUN
fumecheng-1292	146	5	(	(	PUNCT
fumecheng-1292	146	6	25	25	NUM
fumecheng-1292	146	7	)	)	PUNCT
fumecheng-1292	146	8	or	or	CCONJ
fumecheng-1292	146	9	:	:	PUNCT
fumecheng-1292	147	1	*	*	PUNCT
fumecheng-1292	148	1	*	*	PUNCT
fumecheng-1292	149	1	*	*	PUNCT
fumecheng-1292	149	2	*	*	PUNCT
fumecheng-1292	149	3	*	*	PUNCT
fumecheng-1292	149	4	2	2	NUM
fumecheng-1292	149	5	2	2	NUM
fumecheng-1292	149	6	1	1	NUM
fumecheng-1292	149	7	1a	1a	NOUN
fumecheng-1292	149	8	a	a	DET
fumecheng-1292	149	9	v	v	NOUN
fumecheng-1292	149	10	a	a	DET
fumecheng-1292	149	11	t	t	NOUN
fumecheng-1292	149	12	h	h	NOUN
fumecheng-1292	150	1	hh	hh	INTJ
fumecheng-1292	150	2	h	h	NOUN
fumecheng-1292	150	3			PROPN
fumecheng-1292	150	4			PROPN
fumecheng-1292	150	5			PROPN
fumecheng-1292	151	1			PROPN
fumecheng-1292	151	2			NOUN
fumecheng-1292	151	3			PROPN
fumecheng-1292	151	4			VERB
fumecheng-1292	151	5			PROPN
fumecheng-1292	151	6			NOUN
fumecheng-1292	151	7			NUM
fumecheng-1292	151	8			NOUN
fumecheng-1292	152	1			PROPN
fumecheng-1292	152	2			ADJ
fumecheng-1292	152	3			PROPN
fumecheng-1292	152	4			NOUN
fumecheng-1292	152	5	(	(	PUNCT
fumecheng-1292	152	6	26	26	NUM
fumecheng-1292	152	7	)	)	PUNCT
fumecheng-1292	152	8	and	and	CCONJ
fumecheng-1292	152	9	after	after	ADP
fumecheng-1292	152	10	dividing	divide	VERB
fumecheng-1292	152	11	by	by	ADP
fumecheng-1292	152	12	a	a	DET
fumecheng-1292	152	13	/	/	SYM
fumecheng-1292	152	14	h2	h2	NOUN
fumecheng-1292	152	15	we	we	PRON
fumecheng-1292	152	16	obtain	obtain	VERB
fumecheng-1292	152	17	the	the	DET
fumecheng-1292	152	18	energy	energy	NOUN
fumecheng-1292	152	19	equation	equation	NOUN
fumecheng-1292	152	20	in	in	ADP
fumecheng-1292	152	21	non	non	ADJ
fumecheng-1292	152	22	-	-	ADJ
fumecheng-1292	152	23	dimensional	dimensional	ADJ
fumecheng-1292	152	24	form	form	NOUN
fumecheng-1292	152	25	:	:	PUNCT
fumecheng-1292	152	26	*	*	PUNCT
fumecheng-1292	153	1	*	*	PUNCT
fumecheng-1292	154	1	*	*	PUNCT
fumecheng-1292	155	1	*	*	PUNCT
fumecheng-1292	156	1	*	*	PUNCT
fumecheng-1292	156	2	*	*	PUNCT
fumecheng-1292	156	3	*	*	PUNCT
fumecheng-1292	156	4	(	(	PUNCT
fumecheng-1292	156	5	)	)	PUNCT
fumecheng-1292	156	6	v	v	NOUN
fumecheng-1292	156	7	t	t	NOUN
fumecheng-1292	156	8			PROPN
fumecheng-1292	156	9			PROPN
fumecheng-1292	156	10			PROPN
fumecheng-1292	156	11			PROPN
fumecheng-1292	156	12			PROPN
fumecheng-1292	156	13			PROPN
fumecheng-1292	156	14			NUM
fumecheng-1292	156	15			NOUN
fumecheng-1292	156	16			ADJ
fumecheng-1292	156	17	(	(	PUNCT
fumecheng-1292	156	18	27	27	NUM
fumecheng-1292	156	19	)	)	PUNCT
fumecheng-1292	156	20	the	the	DET
fumecheng-1292	156	21	nondimensional	nondimensional	ADJ
fumecheng-1292	156	22	oberbeck	oberbeck	NOUN
fumecheng-1292	156	23	-	-	PUNCT
fumecheng-1292	156	24	bousinesq	bousinesq	NOUN
fumecheng-1292	156	25	system	system	NOUN
fumecheng-1292	156	26	of	of	ADP
fumecheng-1292	156	27	equations	equation	NOUN
fumecheng-1292	156	28	to	to	PART
fumecheng-1292	156	29	be	be	AUX
fumecheng-1292	156	30	solved	solve	VERB
fumecheng-1292	156	31	(	(	PUNCT
fumecheng-1292	156	32	18	18	NUM
fumecheng-1292	156	33	)	)	PUNCT
fumecheng-1292	156	34	,	,	PUNCT
fumecheng-1292	156	35	(	(	PUNCT
fumecheng-1292	156	36	21	21	NUM
fumecheng-1292	156	37	)	)	PUNCT
fumecheng-1292	156	38	and	and	CCONJ
fumecheng-1292	156	39	(	(	PUNCT
fumecheng-1292	156	40	27	27	NUM
fumecheng-1292	156	41	):	):	PUNCT
fumecheng-1292	156	42	*	*	PUNCT
fumecheng-1292	157	1	*	*	PUNCT
fumecheng-1292	158	1	*	*	PUNCT
fumecheng-1292	159	1	*	*	PUNCT
fumecheng-1292	160	1	*	*	PUNCT
fumecheng-1292	161	1	*	*	PUNCT
fumecheng-1292	162	1	*	*	PUNCT
fumecheng-1292	163	1	*	*	PUNCT
fumecheng-1292	164	1	*	*	PUNCT
fumecheng-1292	165	1	*	*	PUNCT
fumecheng-1292	166	1	*	*	PUNCT
fumecheng-1292	167	1	*	*	PUNCT
fumecheng-1292	168	1	*	*	PUNCT
fumecheng-1292	169	1	*	*	PUNCT
fumecheng-1292	170	1	*	*	PUNCT
fumecheng-1292	171	1	*	*	PUNCT
fumecheng-1292	172	1	*	*	PUNCT
fumecheng-1292	172	2	*	*	PUNCT
fumecheng-1292	172	3	*	*	PUNCT
fumecheng-1292	172	4	(	(	PUNCT
fumecheng-1292	172	5	)	)	PUNCT
fumecheng-1292	172	6	pr	pr	VERB
fumecheng-1292	172	7	pr	pr	NOUN
fumecheng-1292	172	8	0	0	PUNCT
fumecheng-1292	173	1	(	(	PUNCT
fumecheng-1292	173	2	)	)	PUNCT
fumecheng-1292	173	3	v	v	ADP
fumecheng-1292	173	4	ra	ra	PROPN
fumecheng-1292	173	5	t	t	NOUN
fumecheng-1292	173	6	x	x	PROPN
fumecheng-1292	173	7	v	v	ADP
fumecheng-1292	173	8	t	t	X
fumecheng-1292	173	9			X
fumecheng-1292	173	10			X
fumecheng-1292	174	1			X
fumecheng-1292	175	1			X
fumecheng-1292	176	1			X
fumecheng-1292	176	2			NOUN
fumecheng-1292	176	3			PROPN
fumecheng-1292	176	4			PROPN
fumecheng-1292	177	1			PROPN
fumecheng-1292	177	2			PROPN
fumecheng-1292	177	3			PROPN
fumecheng-1292	177	4			PROPN
fumecheng-1292	177	5			PROPN
fumecheng-1292	177	6			PRON
fumecheng-1292	177	7			NOUN
fumecheng-1292	177	8			VERB
fumecheng-1292	177	9			NUM
fumecheng-1292	177	10			ADJ
fumecheng-1292	177	11			PROPN
fumecheng-1292	177	12			PRON
fumecheng-1292	177	13			PUNCT
fumecheng-1292	177	14			NUM
fumecheng-1292	177	15			NUM
fumecheng-1292	177	16			PROPN
fumecheng-1292	177	17			NOUN
fumecheng-1292	177	18			PROPN
fumecheng-1292	177	19			NUM
fumecheng-1292	177	20			NOUN
fumecheng-1292	177	21			ADJ
fumecheng-1292	177	22	the	the	DET
fumecheng-1292	177	23	boundary	boundary	ADJ
fumecheng-1292	177	24	conditions	condition	NOUN
fumecheng-1292	177	25	are	be	AUX
fumecheng-1292	177	26	the	the	DET
fumecheng-1292	177	27	following	follow	VERB
fumecheng-1292	177	28	:	:	PUNCT
fumecheng-1292	177	29	*	*	PUNCT
fumecheng-1292	178	1	*	*	PUNCT
fumecheng-1292	179	1	*	*	PUNCT
fumecheng-1292	180	1	*	*	PUNCT
fumecheng-1292	181	1	*	*	PUNCT
fumecheng-1292	182	1	*	*	PUNCT
fumecheng-1292	183	1	*	*	PUNCT
fumecheng-1292	184	1	*	*	PUNCT
fumecheng-1292	185	1	*	*	PUNCT
fumecheng-1292	186	1	*	*	PUNCT
fumecheng-1292	187	1	*	*	PUNCT
fumecheng-1292	188	1	*	*	PUNCT
fumecheng-1292	188	2	*	*	PUNCT
fumecheng-1292	188	3	*	*	PUNCT
fumecheng-1292	188	4	0	0	NUM
fumecheng-1292	188	5	,	,	PUNCT
fumecheng-1292	188	6	,	,	PUNCT
fumecheng-1292	188	7	0	0	NUM
fumecheng-1292	188	8	,	,	PUNCT
fumecheng-1292	188	9	,	,	PUNCT
fumecheng-1292	188	10	0	0	NUM
fumecheng-1292	188	11	,	,	PUNCT
fumecheng-1292	188	12	1	1	NUM
fumecheng-1292	188	13	1	1	NUM
fumecheng-1292	188	14	,	,	PUNCT
fumecheng-1292	188	15	,	,	PUNCT
fumecheng-1292	188	16	0	0	NUM
fumecheng-1292	188	17	,	,	PUNCT
fumecheng-1292	188	18	,	,	PUNCT
fumecheng-1292	188	19	0	0	NUM
fumecheng-1292	188	20	,	,	PUNCT
fumecheng-1292	188	21	1	1	NUM
fumecheng-1292	188	22	{	{	PUNCT
fumecheng-1292	188	23	(	(	PUNCT
fumecheng-1292	188	24	,	,	PUNCT
fumecheng-1292	188	25	)	)	PUNCT
fumecheng-1292	188	26	r|	r|	NOUN
fumecheng-1292	188	27	0	0	NUM
fumecheng-1292	188	28	2	2	NUM
fumecheng-1292	188	29	1	1	NUM
fumecheng-1292	188	30	1	1	NUM
fumecheng-1292	188	31	}	}	PUNCT
fumecheng-1292	188	32	at	at	ADP
fumecheng-1292	188	33	y	y	PROPN
fumecheng-1292	188	34	y	y	PROPN
fumecheng-1292	188	35	at	at	ADP
fumecheng-1292	188	36	y	y	PROPN
fumecheng-1292	188	37	y	y	PROPN
fumecheng-1292	188	38	d	d	PROPN
fumecheng-1292	188	39	x	x	X
fumecheng-1292	188	40	y	y	NOUN
fumecheng-1292	188	41	x	x	SYM
fumecheng-1292	188	42	y	y	NOUN
fumecheng-1292	188	43			NOUN
fumecheng-1292	188	44			PROPN
fumecheng-1292	189	1			PRON
fumecheng-1292	190	1			NOUN
fumecheng-1292	190	2			NOUN
fumecheng-1292	190	3			PUNCT
fumecheng-1292	191	1			PROPN
fumecheng-1292	191	2			ADJ
fumecheng-1292	191	3			PROPN
fumecheng-1292	191	4			NUM
fumecheng-1292	191	5			PRON
fumecheng-1292	191	6			PROPN
fumecheng-1292	191	7			ADJ
fumecheng-1292	191	8			PROPN
fumecheng-1292	192	1			PROPN
fumecheng-1292	192	2			NUM
fumecheng-1292	193	1			NUM
fumecheng-1292	193	2			PROPN
fumecheng-1292	193	3			PROPN
fumecheng-1292	193	4			PROPN
fumecheng-1292	193	5			PROPN
fumecheng-1292	193	6			NOUN
fumecheng-1292	193	7			NUM
fumecheng-1292	193	8			NOUN
fumecheng-1292	193	9			NUM
fumecheng-1292	193	10			VERB
fumecheng-1292	193	11			NOUN
fumecheng-1292	193	12			NOUN
fumecheng-1292	193	13	(	(	PUNCT
fumecheng-1292	193	14	28	28	NUM
fumecheng-1292	193	15	)	)	PUNCT
fumecheng-1292	193	16	and	and	CCONJ
fumecheng-1292	193	17	the	the	DET
fumecheng-1292	193	18	initial	initial	ADJ
fumecheng-1292	193	19	conditions	condition	NOUN
fumecheng-1292	193	20	will	will	AUX
fumecheng-1292	193	21	be	be	AUX
fumecheng-1292	193	22	defined	define	VERB
fumecheng-1292	193	23	later	later	ADV
fumecheng-1292	193	24	.	.	PUNCT
fumecheng-1292	194	1	we	we	PRON
fumecheng-1292	194	2	have	have	VERB
fumecheng-1292	194	3	two	two	NUM
fumecheng-1292	194	4	boundary	boundary	ADJ
fumecheng-1292	194	5	conditions	condition	NOUN
fumecheng-1292	194	6	for	for	ADP
fumecheng-1292	194	7	stream	stream	NOUN
fumecheng-1292	194	8	function	function	NOUN
fumecheng-1292	194	9	and	and	CCONJ
fumecheng-1292	194	10	none	none	NOUN
fumecheng-1292	194	11	for	for	ADP
fumecheng-1292	194	12	vorticity	vorticity	NOUN
fumecheng-1292	194	13	.	.	PUNCT
fumecheng-1292	195	1	the	the	DET
fumecheng-1292	195	2	problem	problem	NOUN
fumecheng-1292	195	3	is	be	AUX
fumecheng-1292	195	4	solved	solve	VERB
fumecheng-1292	195	5	by	by	ADP
fumecheng-1292	195	6	influence	influence	NOUN
fumecheng-1292	195	7	matrix	matrix	NOUN
fumecheng-1292	195	8	method	method	NOUN
fumecheng-1292	195	9	[	[	X
fumecheng-1292	195	10	19	19	NUM
fumecheng-1292	195	11	,	,	PUNCT
fumecheng-1292	195	12	20	20	NUM
fumecheng-1292	195	13	]	]	PUNCT
fumecheng-1292	195	14	,	,	PUNCT
fumecheng-1292	195	15	so	so	SCONJ
fumecheng-1292	195	16	that	that	SCONJ
fumecheng-1292	195	17	the	the	DET
fumecheng-1292	195	18	first	first	ADJ
fumecheng-1292	195	19	two	two	NUM
fumecheng-1292	195	20	equations	equation	NOUN
fumecheng-1292	195	21	can	can	AUX
fumecheng-1292	195	22	be	be	AUX
fumecheng-1292	195	23	solved	solve	VERB
fumecheng-1292	195	24	simultaneously	simultaneously	ADV
fumecheng-1292	195	25	,	,	PUNCT
fumecheng-1292	195	26	and	and	CCONJ
fumecheng-1292	195	27	the	the	DET
fumecheng-1292	195	28	numerical	numerical	ADJ
fumecheng-1292	195	29	method	method	NOUN
fumecheng-1292	195	30	is	be	AUX
fumecheng-1292	195	31	described	describe	VERB
fumecheng-1292	195	32	in	in	ADP
fumecheng-1292	195	33	detail	detail	NOUN
fumecheng-1292	195	34	[	[	X
fumecheng-1292	195	35	21	21	NUM
fumecheng-1292	195	36	]	]	PUNCT
fumecheng-1292	195	37	.	.	PUNCT
fumecheng-1292	196	1	we	we	PRON
fumecheng-1292	196	2	describe	describe	VERB
fumecheng-1292	196	3	here	here	ADV
fumecheng-1292	196	4	only	only	ADV
fumecheng-1292	196	5	the	the	DET
fumecheng-1292	196	6	numerical	numerical	ADJ
fumecheng-1292	196	7	method	method	NOUN
fumecheng-1292	196	8	used	use	VERB
fumecheng-1292	196	9	for	for	ADP
fumecheng-1292	196	10	energy	energy	NOUN
fumecheng-1292	196	11	equation	equation	NOUN
fumecheng-1292	196	12	.	.	PUNCT
fumecheng-1292	197	1	3	3	X
fumecheng-1292	197	2	.	.	X
fumecheng-1292	197	3	solution	solution	NOUN
fumecheng-1292	197	4	procedure	procedure	NOUN
fumecheng-1292	197	5	the	the	DET
fumecheng-1292	197	6	above	above	ADJ
fumecheng-1292	197	7	set	set	NOUN
fumecheng-1292	197	8	of	of	ADP
fumecheng-1292	197	9	equations	equation	NOUN
fumecheng-1292	197	10	should	should	AUX
fumecheng-1292	197	11	be	be	AUX
fumecheng-1292	197	12	solved	solve	VERB
fumecheng-1292	197	13	simultaneously	simultaneously	ADV
fumecheng-1292	197	14	in	in	ADP
fumecheng-1292	197	15	time	time	NOUN
fumecheng-1292	197	16	,	,	PUNCT
fumecheng-1292	197	17	so	so	ADV
fumecheng-1292	197	18	we	we	PRON
fumecheng-1292	197	19	describe	describe	VERB
fumecheng-1292	197	20	the	the	DET
fumecheng-1292	197	21	procedure	procedure	NOUN
fumecheng-1292	197	22	only	only	ADV
fumecheng-1292	197	23	for	for	ADP
fumecheng-1292	197	24	the	the	DET
fumecheng-1292	197	25	energy	energy	NOUN
fumecheng-1292	197	26	equation	equation	NOUN
fumecheng-1292	197	27	.	.	PUNCT
fumecheng-1292	198	1	for	for	ADP
fumecheng-1292	198	2	the	the	DET
fumecheng-1292	198	3	solution	solution	NOUN
fumecheng-1292	198	4	of	of	ADP
fumecheng-1292	198	5	the	the	DET
fumecheng-1292	198	6	described	describe	VERB
fumecheng-1292	198	7	problem	problem	NOUN
fumecheng-1292	198	8	we	we	PRON
fumecheng-1292	198	9	use	use	VERB
fumecheng-1292	198	10	the	the	DET
fumecheng-1292	198	11	fourier	fourier	NOUN
fumecheng-1292	198	12	-	-	PUNCT
fumecheng-1292	198	13	chebyshev	chebyshev	NOUN
fumecheng-1292	198	14	pseudo	pseudo	NOUN
fumecheng-1292	198	15	-	-	ADJ
fumecheng-1292	198	16	spectral	spectral	ADJ
fumecheng-1292	198	17	method	method	NOUN
fumecheng-1292	198	18	,	,	PUNCT
fumecheng-1292	198	19	with	with	ADP
fumecheng-1292	198	20	the	the	DET
fumecheng-1292	198	21	fourier	fourier	ADJ
fumecheng-1292	198	22	-	-	PUNCT
fumecheng-1292	198	23	galerkin	galerkin	ADJ
fumecheng-1292	198	24	method	method	NOUN
fumecheng-1292	198	25	for	for	ADP
fumecheng-1292	198	26	approximation	approximation	NOUN
fumecheng-1292	198	27	in	in	ADP
fumecheng-1292	198	28	homogeneous	homogeneous	ADJ
fumecheng-1292	198	29	x	x	NOUN
fumecheng-1292	198	30	-	-	NOUN
fumecheng-1292	198	31	direction	direction	NOUN
fumecheng-1292	198	32	and	and	CCONJ
fumecheng-1292	198	33	the	the	DET
fumecheng-1292	198	34	chebyshev	chebyshev	NOUN
fumecheng-1292	198	35	collocation	collocation	NOUN
fumecheng-1292	198	36	method	method	NOUN
fumecheng-1292	198	37	for	for	ADP
fumecheng-1292	198	38	non	non	ADJ
fumecheng-1292	198	39	-	-	ADJ
fumecheng-1292	198	40	homogenous	homogenous	ADJ
fumecheng-1292	198	41	y	y	NOUN
fumecheng-1292	198	42	-	-	NOUN
fumecheng-1292	198	43	direction	direction	NOUN
fumecheng-1292	198	44	.	.	PUNCT
fumecheng-1292	199	1	eq	eq	X
fumecheng-1292	199	2	.	.	PUNCT
fumecheng-1292	200	1	(	(	PUNCT
fumecheng-1292	200	2	16	16	NUM
fumecheng-1292	200	3	)	)	PUNCT
fumecheng-1292	200	4	in	in	ADP
fumecheng-1292	200	5	developed	developed	ADJ
fumecheng-1292	200	6	form	form	NOUN
fumecheng-1292	200	7	is	be	AUX
fumecheng-1292	200	8	:	:	PUNCT
fumecheng-1292	200	9	instability	instability	NOUN
fumecheng-1292	200	10	of	of	ADP
fumecheng-1292	200	11	rayleigh	rayleigh	NOUN
fumecheng-1292	200	12	-	-	PUNCT
fumecheng-1292	200	13	bénard	bénard	NOUN
fumecheng-1292	200	14	convection	convection	NOUN
fumecheng-1292	200	15	for	for	ADP
fumecheng-1292	200	16	inclined	inclined	ADJ
fumecheng-1292	200	17	lower	low	ADJ
fumecheng-1292	200	18	wall	wall	NOUN
fumecheng-1292	200	19	with	with	ADP
fumecheng-1292	200	20	temperature	temperature	NOUN
fumecheng-1292	200	21	variation	variation	NOUN
fumecheng-1292	200	22	185	185	NUM
fumecheng-1292	200	23	*	*	PUNCT
fumecheng-1292	201	1	*	*	PUNCT
fumecheng-1292	201	2	*	*	PUNCT
fumecheng-1292	201	3	2	2	NUM
fumecheng-1292	201	4	*	*	PUNCT
fumecheng-1292	202	1	*	*	PUNCT
fumecheng-1292	203	1	*	*	PUNCT
fumecheng-1292	204	1	*	*	PUNCT
fumecheng-1292	205	1	*	*	PUNCT
fumecheng-1292	205	2	*	*	PUNCT
fumecheng-1292	205	3	*	*	PUNCT
fumecheng-1292	205	4	2	2	NUM
fumecheng-1292	205	5	*	*	PUNCT
fumecheng-1292	205	6	u	u	NOUN
fumecheng-1292	205	7	v	v	NOUN
fumecheng-1292	205	8	s	s	X
fumecheng-1292	205	9	t	t	NOUN
fumecheng-1292	205	10	x	x	PUNCT
fumecheng-1292	205	11	y	y	NOUN
fumecheng-1292	205	12	x	x	X
fumecheng-1292	205	13			X
fumecheng-1292	205	14			X
fumecheng-1292	205	15			PROPN
fumecheng-1292	206	1			PROPN
fumecheng-1292	206	2			PROPN
fumecheng-1292	206	3			PROPN
fumecheng-1292	206	4			PROPN
fumecheng-1292	206	5			PROPN
fumecheng-1292	206	6			PROPN
fumecheng-1292	206	7			PROPN
fumecheng-1292	206	8			ADJ
fumecheng-1292	206	9			ADJ
fumecheng-1292	206	10			ADJ
fumecheng-1292	206	11			ADJ
fumecheng-1292	206	12			PROPN
fumecheng-1292	206	13	(	(	PUNCT
fumecheng-1292	206	14	29	29	NUM
fumecheng-1292	206	15	)	)	PUNCT
fumecheng-1292	206	16	where	where	SCONJ
fumecheng-1292	206	17	s	s	X
fumecheng-1292	206	18	*	*	VERB
fumecheng-1292	206	19	is	be	AUX
fumecheng-1292	206	20	source	source	NOUN
fumecheng-1292	206	21	term	term	NOUN
fumecheng-1292	206	22	,	,	PUNCT
fumecheng-1292	206	23	which	which	PRON
fumecheng-1292	206	24	,	,	PUNCT
fumecheng-1292	206	25	in	in	ADP
fumecheng-1292	206	26	our	our	PRON
fumecheng-1292	206	27	case	case	NOUN
fumecheng-1292	206	28	,	,	PUNCT
fumecheng-1292	206	29	is	be	AUX
fumecheng-1292	206	30	zero	zero	NUM
fumecheng-1292	206	31	.	.	PUNCT
fumecheng-1292	207	1	the	the	DET
fumecheng-1292	207	2	fourier	fourier	NOUN
fumecheng-1292	207	3	approximation	approximation	NOUN
fumecheng-1292	207	4	in	in	ADP
fumecheng-1292	207	5	streamwise	streamwise	NOUN
fumecheng-1292	207	6	direction	direction	NOUN
fumecheng-1292	207	7	can	can	AUX
fumecheng-1292	207	8	be	be	AUX
fumecheng-1292	207	9	expressed	express	VERB
fumecheng-1292	207	10	by	by	ADP
fumecheng-1292	207	11	trigonometric	trigonometric	ADJ
fumecheng-1292	207	12	polynomials	polynomial	NOUN
fumecheng-1292	207	13	in	in	ADP
fumecheng-1292	207	14	exponential	exponential	ADJ
fumecheng-1292	207	15	form	form	NOUN
fumecheng-1292	207	16	:	:	PUNCT
fumecheng-1292	207	17	*	*	PUNCT
fumecheng-1292	208	1	*	*	PUNCT
fumecheng-1292	209	1	*	*	PUNCT
fumecheng-1292	210	1	*	*	PUNCT
fumecheng-1292	211	1	*	*	PUNCT
fumecheng-1292	212	1	*	*	PUNCT
fumecheng-1292	212	2	*	*	PUNCT
fumecheng-1292	212	3	(	(	PUNCT
fumecheng-1292	212	4	,	,	PUNCT
fumecheng-1292	212	5	,	,	PUNCT
fumecheng-1292	212	6	)	)	PUNCT
fumecheng-1292	212	7	(	(	PUNCT
fumecheng-1292	212	8	,	,	PUNCT
fumecheng-1292	212	9	)	)	PUNCT
fumecheng-1292	213	1	k	k	PROPN
fumecheng-1292	213	2	ikx	ikx	PROPN
fumecheng-1292	214	1	k	k	PROPN
fumecheng-1292	214	2	k	k	PROPN
fumecheng-1292	215	1	k	k	PROPN
fumecheng-1292	215	2	x	x	PUNCT
fumecheng-1292	215	3	y	y	NOUN
fumecheng-1292	215	4	t	t	PROPN
fumecheng-1292	215	5	y	y	PROPN
fumecheng-1292	215	6	t	t	PROPN
fumecheng-1292	215	7	e	e	PROPN
fumecheng-1292	215	8			PROPN
fumecheng-1292	215	9			PROPN
fumecheng-1292	215	10			PROPN
fumecheng-1292	215	11			X
fumecheng-1292	215	12	(	(	PUNCT
fumecheng-1292	215	13	30	30	NUM
fumecheng-1292	215	14	)	)	PUNCT
fumecheng-1292	215	15	*	*	PUNCT
fumecheng-1292	216	1	*	*	PUNCT
fumecheng-1292	217	1	*	*	PUNCT
fumecheng-1292	218	1	*	*	PUNCT
fumecheng-1292	219	1	*	*	PUNCT
fumecheng-1292	220	1	*	*	PUNCT
fumecheng-1292	220	2	*	*	PUNCT
fumecheng-1292	220	3	(	(	PUNCT
fumecheng-1292	220	4	,	,	PUNCT
fumecheng-1292	220	5	,	,	PUNCT
fumecheng-1292	220	6	)	)	PUNCT
fumecheng-1292	220	7	(	(	PUNCT
fumecheng-1292	220	8	,	,	PUNCT
fumecheng-1292	220	9	)	)	PUNCT
fumecheng-1292	221	1	k	k	PROPN
fumecheng-1292	221	2	ikx	ikx	PROPN
fumecheng-1292	222	1	k	k	PROPN
fumecheng-1292	222	2	k	k	PROPN
fumecheng-1292	223	1	k	k	PROPN
fumecheng-1292	223	2	s	s	X
fumecheng-1292	223	3	x	x	VERB
fumecheng-1292	223	4	y	y	PROPN
fumecheng-1292	223	5	t	t	PROPN
fumecheng-1292	223	6	s	s	X
fumecheng-1292	223	7	y	y	PROPN
fumecheng-1292	223	8	t	t	PROPN
fumecheng-1292	223	9	e	e	PROPN
fumecheng-1292	223	10			PROPN
fumecheng-1292	223	11			PROPN
fumecheng-1292	223	12			X
fumecheng-1292	223	13	(	(	PUNCT
fumecheng-1292	223	14	31	31	NUM
fumecheng-1292	223	15	)	)	PUNCT
fumecheng-1292	224	1	*	*	PUNCT
fumecheng-1292	225	1	*	*	PUNCT
fumecheng-1292	226	1	*	*	PUNCT
fumecheng-1292	227	1	*	*	PUNCT
fumecheng-1292	228	1	*	*	PUNCT
fumecheng-1292	229	1	*	*	PUNCT
fumecheng-1292	229	2	*	*	PUNCT
fumecheng-1292	229	3	(	(	PUNCT
fumecheng-1292	229	4	,	,	PUNCT
fumecheng-1292	229	5	,	,	PUNCT
fumecheng-1292	229	6	)	)	PUNCT
fumecheng-1292	229	7	(	(	PUNCT
fumecheng-1292	229	8	,	,	PUNCT
fumecheng-1292	229	9	)	)	PUNCT
fumecheng-1292	229	10	k	k	PROPN
fumecheng-1292	229	11	ikx	ikx	PROPN
fumecheng-1292	229	12	k	k	PROPN
fumecheng-1292	229	13	k	k	PROPN
fumecheng-1292	229	14	k	k	PROPN
fumecheng-1292	229	15	u	u	PROPN
fumecheng-1292	229	16	x	x	VERB
fumecheng-1292	229	17	y	y	PROPN
fumecheng-1292	229	18	t	t	PROPN
fumecheng-1292	229	19	u	u	X
fumecheng-1292	229	20	y	y	PROPN
fumecheng-1292	229	21	t	t	PROPN
fumecheng-1292	229	22	e	e	PROPN
fumecheng-1292	229	23			PROPN
fumecheng-1292	229	24			PROPN
fumecheng-1292	229	25			X
fumecheng-1292	229	26	(	(	PUNCT
fumecheng-1292	229	27	32	32	NUM
fumecheng-1292	229	28	)	)	PUNCT
fumecheng-1292	230	1	*	*	PUNCT
fumecheng-1292	231	1	*	*	PUNCT
fumecheng-1292	232	1	*	*	PUNCT
fumecheng-1292	233	1	*	*	PUNCT
fumecheng-1292	234	1	*	*	PUNCT
fumecheng-1292	235	1	*	*	PUNCT
fumecheng-1292	235	2	*	*	PUNCT
fumecheng-1292	235	3	(	(	PUNCT
fumecheng-1292	235	4	,	,	PUNCT
fumecheng-1292	235	5	,	,	PUNCT
fumecheng-1292	235	6	)	)	PUNCT
fumecheng-1292	235	7	(	(	PUNCT
fumecheng-1292	235	8	,	,	PUNCT
fumecheng-1292	235	9	)	)	PUNCT
fumecheng-1292	236	1	k	k	PROPN
fumecheng-1292	236	2	ikx	ikx	PROPN
fumecheng-1292	237	1	k	k	PROPN
fumecheng-1292	237	2	k	k	PROPN
fumecheng-1292	238	1	k	k	PROPN
fumecheng-1292	238	2	v	v	INTJ
fumecheng-1292	238	3	x	x	SYM
fumecheng-1292	238	4	y	y	PROPN
fumecheng-1292	238	5	t	t	PROPN
fumecheng-1292	238	6	v	v	NOUN
fumecheng-1292	238	7	y	y	PROPN
fumecheng-1292	238	8	t	t	PROPN
fumecheng-1292	238	9	e	e	NOUN
fumecheng-1292	238	10			PROPN
fumecheng-1292	238	11			PROPN
fumecheng-1292	238	12			X
fumecheng-1292	238	13	(	(	PUNCT
fumecheng-1292	238	14	33	33	NUM
fumecheng-1292	238	15	)	)	PUNCT
fumecheng-1292	238	16	*	*	PUNCT
fumecheng-1292	239	1	*	*	PUNCT
fumecheng-1292	240	1	*	*	PUNCT
fumecheng-1292	241	1	*	*	PUNCT
fumecheng-1292	242	1	*	*	PUNCT
fumecheng-1292	243	1	*	*	PUNCT
fumecheng-1292	244	1	*	*	PUNCT
fumecheng-1292	245	1	*	*	PUNCT
fumecheng-1292	246	1	*	*	PUNCT
fumecheng-1292	247	1	*	*	PUNCT
fumecheng-1292	248	1	*	*	PUNCT
fumecheng-1292	248	2	*	*	PUNCT
fumecheng-1292	248	3	*	*	PUNCT
fumecheng-1292	248	4	1	1	NUM
fumecheng-1292	248	5	,	,	PUNCT
fumecheng-1292	248	6	*	*	PUNCT
fumecheng-1292	248	7	*	*	PUNCT
fumecheng-1292	248	8	(	(	PUNCT
fumecheng-1292	248	9	,	,	PUNCT
fumecheng-1292	248	10	,	,	PUNCT
fumecheng-1292	248	11	)	)	PUNCT
fumecheng-1292	248	12	(	(	PUNCT
fumecheng-1292	248	13	,	,	PUNCT
fumecheng-1292	248	14	)	)	PUNCT
fumecheng-1292	248	15	(	(	PUNCT
fumecheng-1292	248	16	,	,	PUNCT
fumecheng-1292	248	17	)	)	PUNCT
fumecheng-1292	249	1	k	k	PROPN
fumecheng-1292	249	2	k	k	PROPN
fumecheng-1292	249	3	ikx	ikx	PROPN
fumecheng-1292	249	4	ikx	ikx	PROPN
fumecheng-1292	249	5	k	k	PROPN
fumecheng-1292	249	6	k	k	PROPN
fumecheng-1292	249	7	k	k	PROPN
fumecheng-1292	249	8	k	k	PROPN
fumecheng-1292	249	9	kk	kk	PROPN
fumecheng-1292	249	10	u	u	PROPN
fumecheng-1292	249	11	x	x	VERB
fumecheng-1292	249	12	y	y	PROPN
fumecheng-1292	249	13	t	t	PROPN
fumecheng-1292	249	14	u	u	X
fumecheng-1292	249	15	y	y	PROPN
fumecheng-1292	249	16	t	t	PROPN
fumecheng-1292	249	17	e	e	PROPN
fumecheng-1292	249	18	b	b	PROPN
fumecheng-1292	249	19	y	y	PROPN
fumecheng-1292	249	20	t	t	X
fumecheng-1292	249	21	e	e	X
fumecheng-1292	249	22	x	x	PUNCT
fumecheng-1292	249	23	x	x	PUNCT
fumecheng-1292	249	24			PROPN
fumecheng-1292	249	25			PROPN
fumecheng-1292	249	26			PROPN
fumecheng-1292	249	27			PROPN
fumecheng-1292	249	28			NOUN
fumecheng-1292	249	29			NOUN
fumecheng-1292	249	30			ADJ
fumecheng-1292	249	31			PROPN
fumecheng-1292	249	32			PUNCT
fumecheng-1292	249	33			PROPN
fumecheng-1292	249	34			PROPN
fumecheng-1292	249	35			ADJ
fumecheng-1292	249	36			NOUN
fumecheng-1292	249	37			X
fumecheng-1292	249	38			X
fumecheng-1292	249	39	(	(	PUNCT
fumecheng-1292	249	40	34	34	NUM
fumecheng-1292	249	41	)	)	PUNCT
fumecheng-1292	249	42	*	*	PUNCT
fumecheng-1292	250	1	*	*	PUNCT
fumecheng-1292	251	1	*	*	PUNCT
fumecheng-1292	252	1	*	*	PUNCT
fumecheng-1292	253	1	*	*	PUNCT
fumecheng-1292	254	1	*	*	PUNCT
fumecheng-1292	255	1	*	*	PUNCT
fumecheng-1292	256	1	*	*	PUNCT
fumecheng-1292	257	1	*	*	PUNCT
fumecheng-1292	258	1	*	*	PUNCT
fumecheng-1292	259	1	*	*	PUNCT
fumecheng-1292	259	2	*	*	PUNCT
fumecheng-1292	259	3	*	*	PUNCT
fumecheng-1292	259	4	2	2	NUM
fumecheng-1292	259	5	,	,	PUNCT
fumecheng-1292	259	6	*	*	PUNCT
fumecheng-1292	259	7	*	*	PUNCT
fumecheng-1292	259	8	(	(	PUNCT
fumecheng-1292	259	9	,	,	PUNCT
fumecheng-1292	259	10	,	,	PUNCT
fumecheng-1292	259	11	)	)	PUNCT
fumecheng-1292	259	12	(	(	PUNCT
fumecheng-1292	259	13	,	,	PUNCT
fumecheng-1292	259	14	)	)	PUNCT
fumecheng-1292	259	15	(	(	PUNCT
fumecheng-1292	259	16	,	,	PUNCT
fumecheng-1292	259	17	)	)	PUNCT
fumecheng-1292	260	1	k	k	PROPN
fumecheng-1292	261	1	k	k	PROPN
fumecheng-1292	261	2	ikx	ikx	PROPN
fumecheng-1292	262	1	ikx	ikx	PROPN
fumecheng-1292	262	2	k	k	PROPN
fumecheng-1292	263	1	k	k	PROPN
fumecheng-1292	263	2	k	k	PROPN
fumecheng-1292	263	3	k	k	PROPN
fumecheng-1292	263	4	kk	kk	PROPN
fumecheng-1292	263	5	v	v	INTJ
fumecheng-1292	263	6	x	x	SYM
fumecheng-1292	263	7	y	y	PROPN
fumecheng-1292	263	8	t	t	PROPN
fumecheng-1292	263	9	v	v	NOUN
fumecheng-1292	263	10	y	y	PROPN
fumecheng-1292	263	11	t	t	PROPN
fumecheng-1292	263	12	e	e	PROPN
fumecheng-1292	263	13	b	b	PROPN
fumecheng-1292	263	14	y	y	PROPN
fumecheng-1292	263	15	t	t	X
fumecheng-1292	263	16	e	e	X
fumecheng-1292	263	17	x	x	X
fumecheng-1292	263	18	y	y	PROPN
fumecheng-1292	263	19			PROPN
fumecheng-1292	263	20			PROPN
fumecheng-1292	263	21			PROPN
fumecheng-1292	263	22			PROPN
fumecheng-1292	263	23			NOUN
fumecheng-1292	263	24			NOUN
fumecheng-1292	263	25			ADJ
fumecheng-1292	263	26			PROPN
fumecheng-1292	263	27			PUNCT
fumecheng-1292	263	28			PROPN
fumecheng-1292	263	29			PROPN
fumecheng-1292	263	30			ADJ
fumecheng-1292	263	31			NOUN
fumecheng-1292	263	32			X
fumecheng-1292	263	33			X
fumecheng-1292	263	34	(	(	PUNCT
fumecheng-1292	263	35	35	35	NUM
fumecheng-1292	263	36	)	)	PUNCT
fumecheng-1292	263	37	here	here	ADV
fumecheng-1292	263	38	*	*	PUNCT
fumecheng-1292	264	1	*	*	PUNCT
fumecheng-1292	264	2	(	(	PUNCT
fumecheng-1292	264	3	,	,	PUNCT
fumecheng-1292	264	4	)	)	PUNCT
fumecheng-1292	264	5	y	y	PROPN
fumecheng-1292	264	6	t	t	VERB
fumecheng-1292	264	7	designate	designate	ADJ
fumecheng-1292	264	8	fourier	fourier	ADJ
fumecheng-1292	264	9	coefficients	coefficient	NOUN
fumecheng-1292	264	10	for	for	ADP
fumecheng-1292	264	11	the	the	DET
fumecheng-1292	264	12	exponential	exponential	ADJ
fumecheng-1292	264	13	form	form	NOUN
fumecheng-1292	264	14	of	of	ADP
fumecheng-1292	264	15	trigonometric	trigonometric	ADJ
fumecheng-1292	264	16	polynomials	polynomial	NOUN
fumecheng-1292	264	17	in	in	ADP
fumecheng-1292	264	18	eqs	eqs	PROPN
fumecheng-1292	264	19	.	.	PUNCT
fumecheng-1292	265	1	(	(	PUNCT
fumecheng-1292	265	2	30)-(35	30)-(35	NUM
fumecheng-1292	265	3	)	)	PUNCT
fumecheng-1292	265	4	for	for	ADP
fumecheng-1292	265	5	any	any	DET
fumecheng-1292	265	6	physical	physical	ADJ
fumecheng-1292	265	7	value	value	NOUN
fumecheng-1292	265	8			NOUN
fumecheng-1292	265	9	and	and	CCONJ
fumecheng-1292	265	10	1i	1i	NUM
fumecheng-1292	265	11	.	.	PUNCT
fumecheng-1292	266	1	in	in	ADP
fumecheng-1292	266	2	the	the	DET
fumecheng-1292	266	3	following	following	NOUN
fumecheng-1292	266	4	,	,	PUNCT
fumecheng-1292	266	5	we	we	PRON
fumecheng-1292	266	6	will	will	AUX
fumecheng-1292	266	7	always	always	ADV
fumecheng-1292	266	8	refer	refer	VERB
fumecheng-1292	266	9	to	to	ADP
fumecheng-1292	266	10	dimensionless	dimensionless	ADJ
fumecheng-1292	266	11	quantities	quantity	NOUN
fumecheng-1292	266	12	;	;	PUNCT
fumecheng-1292	266	13	consequently	consequently	ADV
fumecheng-1292	266	14	*	*	VERB
fumecheng-1292	266	15	are	be	AUX
fumecheng-1292	266	16	suppressed	suppress	VERB
fumecheng-1292	266	17	from	from	ADP
fumecheng-1292	266	18	superscript	superscript	PROPN
fumecheng-1292	266	19	,	,	PUNCT
fumecheng-1292	266	20	and	and	CCONJ
fumecheng-1292	266	21	after	after	ADP
fumecheng-1292	266	22	substitution	substitution	NOUN
fumecheng-1292	266	23	of	of	ADP
fumecheng-1292	266	24	eqs	eqs	PROPN
fumecheng-1292	266	25	.	.	PUNCT
fumecheng-1292	267	1	(	(	PUNCT
fumecheng-1292	267	2	30	30	NUM
fumecheng-1292	267	3	)	)	PUNCT
fumecheng-1292	267	4	,	,	PUNCT
fumecheng-1292	267	5	(	(	PUNCT
fumecheng-1292	267	6	31	31	NUM
fumecheng-1292	267	7	)	)	PUNCT
fumecheng-1292	267	8	,	,	PUNCT
fumecheng-1292	267	9	(	(	PUNCT
fumecheng-1292	267	10	34	34	NUM
fumecheng-1292	267	11	)	)	PUNCT
fumecheng-1292	267	12	and	and	CCONJ
fumecheng-1292	267	13	(	(	PUNCT
fumecheng-1292	267	14	35	35	NUM
fumecheng-1292	267	15	)	)	PUNCT
fumecheng-1292	267	16	in	in	ADP
fumecheng-1292	267	17	(	(	PUNCT
fumecheng-1292	267	18	29	29	NUM
fumecheng-1292	267	19	)	)	PUNCT
fumecheng-1292	267	20	,	,	PUNCT
fumecheng-1292	267	21	we	we	PRON
fumecheng-1292	267	22	obtain	obtain	VERB
fumecheng-1292	267	23	:	:	PUNCT
fumecheng-1292	267	24	*	*	SYM
fumecheng-1292	267	25	2	2	NUM
fumecheng-1292	267	26	2	2	NUM
fumecheng-1292	267	27	2	2	NUM
fumecheng-1292	267	28	2	2	NUM
fumecheng-1292	267	29	(	(	PUNCT
fumecheng-1292	267	30	,	,	PUNCT
fumecheng-1292	267	31	)	)	PUNCT
fumecheng-1292	267	32	(	(	PUNCT
fumecheng-1292	267	33	,	,	PUNCT
fumecheng-1292	267	34	)	)	PUNCT
fumecheng-1292	267	35	(	(	PUNCT
fumecheng-1292	267	36	,	,	PUNCT
fumecheng-1292	267	37	)	)	PUNCT
fumecheng-1292	267	38	(	(	PUNCT
fumecheng-1292	267	39	,	,	PUNCT
fumecheng-1292	267	40	)	)	PUNCT
fumecheng-1292	267	41	(	(	PUNCT
fumecheng-1292	267	42	,	,	PUNCT
fumecheng-1292	267	43	)	)	PUNCT
fumecheng-1292	267	44	(	(	PUNCT
fumecheng-1292	267	45	,	,	PUNCT
fumecheng-1292	267	46	)	)	PUNCT
fumecheng-1292	267	47	k	k	PROPN
fumecheng-1292	268	1	k	k	PROPN
fumecheng-1292	268	2	k	k	PROPN
fumecheng-1292	268	3	ikx	ikx	PROPN
fumecheng-1292	268	4	ikx	ikx	PROPN
fumecheng-1292	268	5	ikx	ikx	PROPN
fumecheng-1292	269	1	k	k	PROPN
fumecheng-1292	269	2	k	k	PROPN
fumecheng-1292	270	1	k	k	PROPN
fumecheng-1292	271	1	k	k	PROPN
fumecheng-1292	271	2	k	k	PROPN
fumecheng-1292	272	1	k	k	PROPN
fumecheng-1292	272	2	kk	kk	X
fumecheng-1292	273	1	k	k	PROPN
fumecheng-1292	273	2	k	k	PROPN
fumecheng-1292	274	1	k	k	PROPN
fumecheng-1292	274	2	k	k	PROPN
fumecheng-1292	274	3	ikx	ikx	PROPN
fumecheng-1292	274	4	ikx	ikx	PROPN
fumecheng-1292	274	5	ikx	ikx	PROPN
fumecheng-1292	275	1	k	k	PROPN
fumecheng-1292	275	2	k	k	PROPN
fumecheng-1292	276	1	k	k	PROPN
fumecheng-1292	276	2	k	k	PROPN
fumecheng-1292	276	3	k	k	PROPN
fumecheng-1292	276	4	k	k	PROPN
fumecheng-1292	276	5	k	k	PROPN
fumecheng-1292	276	6	k	k	PROPN
fumecheng-1292	276	7	k	k	PROPN
fumecheng-1292	276	8	y	y	PROPN
fumecheng-1292	276	9	t	t	PROPN
fumecheng-1292	276	10	e	e	X
fumecheng-1292	276	11	u	u	X
fumecheng-1292	276	12	y	y	PROPN
fumecheng-1292	276	13	t	t	PROPN
fumecheng-1292	276	14	e	e	PROPN
fumecheng-1292	276	15	v	v	ADP
fumecheng-1292	276	16	y	y	PROPN
fumecheng-1292	276	17	t	t	PROPN
fumecheng-1292	276	18	e	e	X
fumecheng-1292	276	19	t	t	PROPN
fumecheng-1292	276	20	x	x	PROPN
fumecheng-1292	276	21	y	y	PROPN
fumecheng-1292	276	22	y	y	PROPN
fumecheng-1292	276	23	t	t	PROPN
fumecheng-1292	276	24	e	e	X
fumecheng-1292	276	25	y	y	PROPN
fumecheng-1292	276	26	t	t	PROPN
fumecheng-1292	276	27	e	e	X
fumecheng-1292	276	28	s	s	PROPN
fumecheng-1292	276	29	y	y	PROPN
fumecheng-1292	276	30	t	t	X
fumecheng-1292	276	31	e	e	X
fumecheng-1292	276	32	x	x	X
fumecheng-1292	276	33	y	y	NOUN
fumecheng-1292	276	34			X
fumecheng-1292	276	35			X
fumecheng-1292	276	36			PROPN
fumecheng-1292	276	37			PROPN
fumecheng-1292	276	38			PROPN
fumecheng-1292	276	39			PROPN
fumecheng-1292	276	40			PROPN
fumecheng-1292	276	41			PROPN
fumecheng-1292	276	42			PROPN
fumecheng-1292	276	43			PROPN
fumecheng-1292	276	44			PROPN
fumecheng-1292	276	45			NOUN
fumecheng-1292	276	46			NOUN
fumecheng-1292	276	47			PROPN
fumecheng-1292	276	48			NUM
fumecheng-1292	276	49			PROPN
fumecheng-1292	276	50			ADV
fumecheng-1292	276	51			X
fumecheng-1292	276	52			PUNCT
fumecheng-1292	276	53			X
fumecheng-1292	277	1			DET
fumecheng-1292	277	2			PROPN
fumecheng-1292	277	3			PROPN
fumecheng-1292	277	4			ADJ
fumecheng-1292	277	5			NOUN
fumecheng-1292	277	6			PROPN
fumecheng-1292	277	7			NOUN
fumecheng-1292	277	8			ADJ
fumecheng-1292	277	9			PROPN
fumecheng-1292	277	10			PROPN
fumecheng-1292	277	11			PUNCT
fumecheng-1292	277	12			PROPN
fumecheng-1292	277	13			PROPN
fumecheng-1292	277	14			X
fumecheng-1292	277	15			X
fumecheng-1292	277	16			X
fumecheng-1292	277	17			X
fumecheng-1292	277	18			X
fumecheng-1292	277	19			X
fumecheng-1292	277	20	(	(	PUNCT
fumecheng-1292	277	21	36	36	NUM
fumecheng-1292	277	22	)	)	PUNCT
fumecheng-1292	277	23	after	after	ADP
fumecheng-1292	277	24	differentiation	differentiation	NOUN
fumecheng-1292	277	25	:	:	PUNCT
fumecheng-1292	277	26	*	*	PUNCT
fumecheng-1292	277	27	1	1	NUM
fumecheng-1292	277	28	,	,	PUNCT
fumecheng-1292	277	29	2	2	NUM
fumecheng-1292	277	30	,	,	PUNCT
fumecheng-1292	277	31	22	22	NUM
fumecheng-1292	277	32	2	2	NUM
fumecheng-1292	277	33	2	2	NUM
fumecheng-1292	277	34	2	2	NUM
fumecheng-1292	277	35	(	(	PUNCT
fumecheng-1292	277	36	,	,	PUNCT
fumecheng-1292	277	37	)	)	PUNCT
fumecheng-1292	277	38	(	(	PUNCT
fumecheng-1292	277	39	,	,	PUNCT
fumecheng-1292	277	40	)	)	PUNCT
fumecheng-1292	277	41	(	(	PUNCT
fumecheng-1292	277	42	,	,	PUNCT
fumecheng-1292	277	43	)	)	PUNCT
fumecheng-1292	277	44	(	(	PUNCT
fumecheng-1292	277	45	)	)	PUNCT
fumecheng-1292	277	46	(	(	PUNCT
fumecheng-1292	277	47	,	,	PUNCT
fumecheng-1292	277	48	)	)	PUNCT
fumecheng-1292	277	49	(	(	PUNCT
fumecheng-1292	277	50	,	,	PUNCT
fumecheng-1292	277	51	)	)	PUNCT
fumecheng-1292	277	52	(	(	PUNCT
fumecheng-1292	277	53	,	,	PUNCT
fumecheng-1292	277	54	)	)	PUNCT
fumecheng-1292	277	55	(	(	PUNCT
fumecheng-1292	277	56	,	,	PUNCT
fumecheng-1292	277	57	)	)	PUNCT
fumecheng-1292	277	58	k	k	PROPN
fumecheng-1292	278	1	k	k	PROPN
fumecheng-1292	278	2	k	k	PROPN
fumecheng-1292	278	3	ikx	ikx	PROPN
fumecheng-1292	278	4	ikx	ikx	PROPN
fumecheng-1292	278	5	ikxk	ikxk	VERB
fumecheng-1292	278	6	k	k	PROPN
fumecheng-1292	278	7	k	k	PROPN
fumecheng-1292	278	8	k	k	PROPN
fumecheng-1292	278	9	k	k	PROPN
fumecheng-1292	278	10	k	k	PROPN
fumecheng-1292	278	11	k	k	PROPN
fumecheng-1292	278	12	k	k	PROPN
fumecheng-1292	278	13	k	k	PROPN
fumecheng-1292	278	14	k	k	PROPN
fumecheng-1292	278	15	k	k	PROPN
fumecheng-1292	278	16	k	k	PROPN
fumecheng-1292	278	17	ikx	ikx	PROPN
fumecheng-1292	278	18	ilx	ilx	PROPN
fumecheng-1292	278	19	ikx	ikx	PROPN
fumecheng-1292	278	20	ikxk	ikxk	VERB
fumecheng-1292	278	21	k	k	PROPN
fumecheng-1292	278	22	k	k	PROPN
fumecheng-1292	278	23	k	k	PROPN
fumecheng-1292	278	24	k	k	PROPN
fumecheng-1292	278	25	k	k	PROPN
fumecheng-1292	278	26	k	k	PROPN
fumecheng-1292	278	27	k	k	PROPN
fumecheng-1292	278	28	k	k	PROPN
fumecheng-1292	278	29	y	y	PROPN
fumecheng-1292	278	30	t	t	PROPN
fumecheng-1292	278	31	e	e	PROPN
fumecheng-1292	278	32	b	b	PROPN
fumecheng-1292	278	33	y	y	PROPN
fumecheng-1292	278	34	t	t	PROPN
fumecheng-1292	278	35	e	e	PROPN
fumecheng-1292	278	36	b	b	PROPN
fumecheng-1292	278	37	y	y	PROPN
fumecheng-1292	278	38	t	t	PROPN
fumecheng-1292	278	39	e	e	PROPN
fumecheng-1292	278	40	t	t	PROPN
fumecheng-1292	278	41	ik	ik	PROPN
fumecheng-1292	278	42	y	y	PROPN
fumecheng-1292	278	43	t	t	PROPN
fumecheng-1292	278	44	e	e	X
fumecheng-1292	278	45	e	e	X
fumecheng-1292	278	46	y	y	PROPN
fumecheng-1292	278	47	t	t	PROPN
fumecheng-1292	278	48	e	e	X
fumecheng-1292	278	49	s	s	VERB
fumecheng-1292	278	50	y	y	PROPN
fumecheng-1292	278	51	t	t	X
fumecheng-1292	278	52	e	e	X
fumecheng-1292	278	53	y	y	PROPN
fumecheng-1292	278	54	y	y	PROPN
fumecheng-1292	278	55			PROPN
fumecheng-1292	278	56			PROPN
fumecheng-1292	278	57			PROPN
fumecheng-1292	278	58			PROPN
fumecheng-1292	278	59			PROPN
fumecheng-1292	278	60			PROPN
fumecheng-1292	278	61			PROPN
fumecheng-1292	278	62			PROPN
fumecheng-1292	278	63			PROPN
fumecheng-1292	278	64			PROPN
fumecheng-1292	278	65			VERB
fumecheng-1292	278	66			PUNCT
fumecheng-1292	279	1			PROPN
fumecheng-1292	279	2			PROPN
fumecheng-1292	279	3			PROPN
fumecheng-1292	279	4			PROPN
fumecheng-1292	279	5			PUNCT
fumecheng-1292	279	6			PROPN
fumecheng-1292	279	7			PROPN
fumecheng-1292	279	8			X
fumecheng-1292	279	9			X
fumecheng-1292	279	10			X
fumecheng-1292	279	11			X
fumecheng-1292	279	12			X
fumecheng-1292	279	13			X
fumecheng-1292	279	14	(	(	PUNCT
fumecheng-1292	279	15	37	37	NUM
fumecheng-1292	279	16	)	)	PUNCT
fumecheng-1292	279	17	if	if	SCONJ
fumecheng-1292	279	18	multiply	multiply	VERB
fumecheng-1292	279	19	both	both	CCONJ
fumecheng-1292	279	20	the	the	DET
fumecheng-1292	279	21	sides	side	NOUN
fumecheng-1292	279	22	with	with	ADP
fumecheng-1292	279	23	the	the	DET
fumecheng-1292	279	24	same	same	ADJ
fumecheng-1292	279	25	weight	weight	NOUN
fumecheng-1292	279	26	function	function	NOUN
fumecheng-1292	279	27	as	as	ADP
fumecheng-1292	279	28	the	the	DET
fumecheng-1292	279	29	basis	basis	NOUN
fumecheng-1292	279	30	functions	function	NOUN
fumecheng-1292	279	31	,	,	PUNCT
fumecheng-1292	279	32	we	we	PRON
fumecheng-1292	279	33	have	have	VERB
fumecheng-1292	279	34	:	:	PUNCT
fumecheng-1292	279	35	186	186	NUM
fumecheng-1292	279	36	s.	s.	PROPN
fumecheng-1292	279	37	ayed	aye	VERB
fumecheng-1292	279	38	,	,	PUNCT
fumecheng-1292	279	39	g.	g.	PROPN
fumecheng-1292	279	40	ilić	ilić	PROPN
fumecheng-1292	279	41	,	,	PUNCT
fumecheng-1292	279	42	p.	p.	PROPN
fumecheng-1292	279	43	živković	živković	PROPN
fumecheng-1292	279	44	,	,	PUNCT
fumecheng-1292	279	45	m.	m.	NOUN
fumecheng-1292	279	46	vukić	vukić	PROPN
fumecheng-1292	279	47	,	,	PUNCT
fumecheng-1292	279	48	m.	m.	NOUN
fumecheng-1292	279	49	tomić	tomić	NOUN
fumecheng-1292	279	50	1	1	NUM
fumecheng-1292	279	51	,	,	PUNCT
fumecheng-1292	279	52	2	2	NUM
fumecheng-1292	279	53	,	,	PUNCT
fumecheng-1292	279	54	2	2	NUM
fumecheng-1292	279	55	2	2	NUM
fumecheng-1292	279	56	2	2	NUM
fumecheng-1292	279	57	(	(	PUNCT
fumecheng-1292	279	58	,	,	PUNCT
fumecheng-1292	279	59	)	)	PUNCT
fumecheng-1292	279	60	(	(	PUNCT
fumecheng-1292	279	61	,	,	PUNCT
fumecheng-1292	279	62	)	)	PUNCT
fumecheng-1292	279	63	(	(	PUNCT
fumecheng-1292	279	64	,	,	PUNCT
fumecheng-1292	279	65	)	)	PUNCT
fumecheng-1292	279	66	(	(	PUNCT
fumecheng-1292	279	67	,	,	PUNCT
fumecheng-1292	279	68	)	)	PUNCT
fumecheng-1292	279	69	(	(	PUNCT
fumecheng-1292	279	70	,	,	PUNCT
fumecheng-1292	279	71	)	)	PUNCT
fumecheng-1292	279	72	(	(	PUNCT
fumecheng-1292	279	73	,	,	PUNCT
fumecheng-1292	279	74	)	)	PUNCT
fumecheng-1292	279	75	(	(	PUNCT
fumecheng-1292	279	76	,	,	PUNCT
fumecheng-1292	279	77	)	)	PUNCT
fumecheng-1292	279	78	(	(	PUNCT
fumecheng-1292	279	79	,	,	PUNCT
fumecheng-1292	279	80	)	)	PUNCT
fumecheng-1292	279	81	(	(	PUNCT
fumecheng-1292	279	82	,	,	PUNCT
fumecheng-1292	279	83	)	)	PUNCT
fumecheng-1292	279	84	(	(	PUNCT
fumecheng-1292	279	85	,	,	PUNCT
fumecheng-1292	279	86	)	)	PUNCT
fumecheng-1292	279	87	(	(	PUNCT
fumecheng-1292	279	88	,	,	PUNCT
fumecheng-1292	279	89	)	)	PUNCT
fumecheng-1292	279	90	(	(	PUNCT
fumecheng-1292	279	91	,	,	PUNCT
fumecheng-1292	279	92	)	)	PUNCT
fumecheng-1292	279	93	,	,	PUNCT
fumecheng-1292	279	94	...	...	PUNCT
fumecheng-1292	279	95	,	,	PUNCT
fumecheng-1292	279	96	2	2	NUM
fumecheng-1292	279	97	2	2	NUM
fumecheng-1292	279	98	k	k	NOUN
fumecheng-1292	279	99	k	k	PROPN
fumecheng-1292	279	100	k	k	PROPN
fumecheng-1292	279	101	ikx	ikx	PROPN
fumecheng-1292	279	102	ilx	ilx	PROPN
fumecheng-1292	279	103	ikx	ikx	PROPN
fumecheng-1292	279	104	ilx	ilx	PROPN
fumecheng-1292	279	105	ikx	ikx	PROPN
fumecheng-1292	279	106	ilxk	ilxk	PROPN
fumecheng-1292	280	1	k	k	PROPN
fumecheng-1292	281	1	k	k	PROPN
fumecheng-1292	282	1	k	k	PROPN
fumecheng-1292	282	2	k	k	PROPN
fumecheng-1292	283	1	k	k	PROPN
fumecheng-1292	283	2	k	k	PROPN
fumecheng-1292	283	3	k	k	PROPN
fumecheng-1292	283	4	k	k	PROPN
fumecheng-1292	283	5	k	k	PROPN
fumecheng-1292	283	6	k	k	PROPN
fumecheng-1292	283	7	k	k	PROPN
fumecheng-1292	283	8	ikx	ikx	PROPN
fumecheng-1292	283	9	ilx	ilx	PROPN
fumecheng-1292	283	10	ikx	ikx	PROPN
fumecheng-1292	283	11	ilx	ilx	PROPN
fumecheng-1292	283	12	ikx	ikx	PROPN
fumecheng-1292	283	13	ilxk	ilxk	PROPN
fumecheng-1292	284	1	k	k	PROPN
fumecheng-1292	285	1	k	k	PROPN
fumecheng-1292	286	1	k	k	PROPN
fumecheng-1292	287	1	k	k	PROPN
fumecheng-1292	288	1	k	k	PROPN
fumecheng-1292	289	1	k	k	PROPN
fumecheng-1292	290	1	k	k	PROPN
fumecheng-1292	290	2	k	k	PUNCT
fumecheng-1292	290	3	x	x	PUNCT
fumecheng-1292	290	4	x	x	PUNCT
fumecheng-1292	290	5	y	y	NOUN
fumecheng-1292	290	6	t	t	X
fumecheng-1292	290	7	e	e	X
fumecheng-1292	290	8	e	e	PROPN
fumecheng-1292	290	9	b	b	PROPN
fumecheng-1292	290	10	y	y	PROPN
fumecheng-1292	290	11	t	t	X
fumecheng-1292	290	12	e	e	X
fumecheng-1292	290	13	e	e	PROPN
fumecheng-1292	290	14	b	b	PROPN
fumecheng-1292	290	15	y	y	PROPN
fumecheng-1292	290	16	t	t	X
fumecheng-1292	290	17	e	e	X
fumecheng-1292	290	18	e	e	PROPN
fumecheng-1292	290	19	t	t	PROPN
fumecheng-1292	290	20	k	k	PROPN
fumecheng-1292	290	21	y	y	PROPN
fumecheng-1292	290	22	t	t	PROPN
fumecheng-1292	290	23	e	e	X
fumecheng-1292	290	24	e	e	X
fumecheng-1292	290	25	y	y	PROPN
fumecheng-1292	290	26	t	t	X
fumecheng-1292	290	27	e	e	X
fumecheng-1292	290	28	e	e	PROPN
fumecheng-1292	290	29	s	s	PROPN
fumecheng-1292	290	30	y	y	PROPN
fumecheng-1292	290	31	t	t	X
fumecheng-1292	290	32	e	e	X
fumecheng-1292	290	33	e	e	PROPN
fumecheng-1292	290	34	t	t	PROPN
fumecheng-1292	290	35	n	n	CCONJ
fumecheng-1292	290	36	n	n	ADP
fumecheng-1292	290	37	l	l	NOUN
fumecheng-1292	290	38	k	k	X
fumecheng-1292	290	39			X
fumecheng-1292	290	40			PROPN
fumecheng-1292	290	41			PROPN
fumecheng-1292	290	42			PROPN
fumecheng-1292	290	43			PROPN
fumecheng-1292	290	44			PROPN
fumecheng-1292	290	45			PROPN
fumecheng-1292	290	46			PROPN
fumecheng-1292	290	47			PROPN
fumecheng-1292	290	48			PROPN
fumecheng-1292	290	49			PROPN
fumecheng-1292	290	50			PROPN
fumecheng-1292	290	51			PUNCT
fumecheng-1292	290	52			PROPN
fumecheng-1292	290	53			PROPN
fumecheng-1292	290	54			PROPN
fumecheng-1292	290	55			ADJ
fumecheng-1292	290	56			ADJ
fumecheng-1292	290	57			PROPN
fumecheng-1292	290	58			PROPN
fumecheng-1292	290	59			PROPN
fumecheng-1292	290	60			X
fumecheng-1292	290	61			X
fumecheng-1292	290	62			X
fumecheng-1292	290	63			X
fumecheng-1292	290	64			X
fumecheng-1292	290	65			X
fumecheng-1292	290	66	(	(	PUNCT
fumecheng-1292	290	67	38	38	NUM
fumecheng-1292	290	68	)	)	PUNCT
fumecheng-1292	290	69	if	if	SCONJ
fumecheng-1292	290	70	we	we	PRON
fumecheng-1292	290	71	apply	apply	VERB
fumecheng-1292	290	72	the	the	DET
fumecheng-1292	290	73	orthogonality	orthogonality	NOUN
fumecheng-1292	290	74	condition	condition	NOUN
fumecheng-1292	290	75	,	,	PUNCT
fumecheng-1292	290	76	so	so	SCONJ
fumecheng-1292	290	77	that	that	SCONJ
fumecheng-1292	290	78	inner	inner	ADJ
fumecheng-1292	290	79	product	product	NOUN
fumecheng-1292	290	80	of	of	ADP
fumecheng-1292	290	81	exponential	exponential	ADJ
fumecheng-1292	290	82	functions	function	NOUN
fumecheng-1292	290	83	yields	yield	NOUN
fumecheng-1292	290	84	:	:	PUNCT
fumecheng-1292	290	85	1	1	NUM
fumecheng-1292	290	86	,	,	PUNCT
fumecheng-1292	290	87	2	2	NUM
fumecheng-1292	290	88	,	,	PUNCT
fumecheng-1292	290	89	2	2	NUM
fumecheng-1292	290	90	0	0	NUM
fumecheng-1292	290	91	(	(	PUNCT
fumecheng-1292	290	92	,	,	PUNCT
fumecheng-1292	290	93	)	)	PUNCT
fumecheng-1292	290	94	(	(	PUNCT
fumecheng-1292	290	95	,	,	PUNCT
fumecheng-1292	290	96	)	)	PUNCT
fumecheng-1292	290	97	(	(	PUNCT
fumecheng-1292	290	98	,	,	PUNCT
fumecheng-1292	290	99	)	)	PUNCT
fumecheng-1292	290	100	(	(	PUNCT
fumecheng-1292	290	101	,	,	PUNCT
fumecheng-1292	290	102	)	)	PUNCT
fumecheng-1292	290	103	(	(	PUNCT
fumecheng-1292	290	104	,	,	PUNCT
fumecheng-1292	290	105	)	)	PUNCT
fumecheng-1292	290	106	0	0	PUNCT
fumecheng-1292	291	1	for	for	ADP
fumecheng-1292	291	2	(	(	PUNCT
fumecheng-1292	291	3	,	,	PUNCT
fumecheng-1292	291	4	)	)	PUNCT
fumecheng-1292	291	5	2	2	NUM
fumecheng-1292	291	6	for	for	ADP
fumecheng-1292	291	7	k	k	PROPN
fumecheng-1292	291	8	k	k	PROPN
fumecheng-1292	291	9	k	k	PROPN
fumecheng-1292	291	10	ikx	ikx	PROPN
fumecheng-1292	291	11	ilx	ilx	PROPN
fumecheng-1292	291	12	ikx	ikx	PROPN
fumecheng-1292	291	13	ilxk	ilxk	PROPN
fumecheng-1292	292	1	k	k	PROPN
fumecheng-1292	292	2	k	k	PROPN
fumecheng-1292	292	3	k	k	PROPN
fumecheng-1292	292	4	k	k	PROPN
fumecheng-1292	292	5	k	k	PROPN
fumecheng-1292	292	6	k	k	PROPN
fumecheng-1292	292	7	k	k	PROPN
fumecheng-1292	292	8	k	k	PROPN
fumecheng-1292	292	9	ikx	ikx	PROPN
fumecheng-1292	292	10	ilx	ilx	PROPN
fumecheng-1292	292	11	ikx	ikx	PROPN
fumecheng-1292	293	1	ilx	ilx	PROPN
fumecheng-1292	293	2	y	y	PROPN
fumecheng-1292	293	3	t	t	PROPN
fumecheng-1292	293	4	e	e	X
fumecheng-1292	293	5	e	e	PROPN
fumecheng-1292	293	6	b	b	PROPN
fumecheng-1292	293	7	y	y	PROPN
fumecheng-1292	293	8	t	t	X
fumecheng-1292	293	9	e	e	X
fumecheng-1292	293	10	e	e	PROPN
fumecheng-1292	293	11	b	b	PROPN
fumecheng-1292	293	12	y	y	PROPN
fumecheng-1292	293	13	t	t	PROPN
fumecheng-1292	293	14	t	t	PROPN
fumecheng-1292	293	15	k	k	X
fumecheng-1292	293	16	l	l	NOUN
fumecheng-1292	293	17	e	e	X
fumecheng-1292	293	18	e	e	X
fumecheng-1292	293	19	e	e	X
fumecheng-1292	293	20	e	e	X
fumecheng-1292	293	21	k	k	PROPN
fumecheng-1292	293	22	l	l	PROPN
fumecheng-1292	293	23			PROPN
fumecheng-1292	293	24			X
fumecheng-1292	293	25			PROPN
fumecheng-1292	293	26			PROPN
fumecheng-1292	293	27			PROPN
fumecheng-1292	293	28			PROPN
fumecheng-1292	293	29			PROPN
fumecheng-1292	293	30			VERB
fumecheng-1292	293	31			PUNCT
fumecheng-1292	293	32			ADJ
fumecheng-1292	293	33			PRON
fumecheng-1292	293	34			NUM
fumecheng-1292	293	35			PRON
fumecheng-1292	293	36			NUM
fumecheng-1292	293	37			NOUN
fumecheng-1292	293	38			X
fumecheng-1292	293	39			X
fumecheng-1292	293	40			X
fumecheng-1292	293	41			PUNCT
fumecheng-1292	293	42	(	(	PUNCT
fumecheng-1292	293	43	39	39	NUM
fumecheng-1292	293	44	)	)	PUNCT
fumecheng-1292	293	45	our	our	PRON
fumecheng-1292	293	46	system	system	NOUN
fumecheng-1292	293	47	of	of	ADP
fumecheng-1292	293	48	equations	equation	NOUN
fumecheng-1292	293	49	is	be	AUX
fumecheng-1292	293	50	reduced	reduce	VERB
fumecheng-1292	293	51	to	to	ADP
fumecheng-1292	293	52	:	:	PUNCT
fumecheng-1292	293	53	2	2	NUM
fumecheng-1292	293	54	2	2	NUM
fumecheng-1292	293	55	1	1	NUM
fumecheng-1292	293	56	,	,	PUNCT
fumecheng-1292	293	57	2	2	NUM
fumecheng-1292	293	58	,	,	PUNCT
fumecheng-1292	293	59	2	2	NUM
fumecheng-1292	293	60	(	(	PUNCT
fumecheng-1292	293	61	,	,	PUNCT
fumecheng-1292	293	62	)	)	PUNCT
fumecheng-1292	293	63	(	(	PUNCT
fumecheng-1292	293	64	,	,	PUNCT
fumecheng-1292	293	65	)	)	PUNCT
fumecheng-1292	293	66	(	(	PUNCT
fumecheng-1292	293	67	,	,	PUNCT
fumecheng-1292	293	68	)	)	PUNCT
fumecheng-1292	293	69	(	(	PUNCT
fumecheng-1292	293	70	,	,	PUNCT
fumecheng-1292	293	71	)	)	PUNCT
fumecheng-1292	293	72	(	(	PUNCT
fumecheng-1292	293	73	,	,	PUNCT
fumecheng-1292	293	74	)	)	PUNCT
fumecheng-1292	293	75	(	(	PUNCT
fumecheng-1292	293	76	,	,	PUNCT
fumecheng-1292	293	77	)	)	PUNCT
fumecheng-1292	293	78	,	,	PUNCT
fumecheng-1292	293	79	...	...	PUNCT
fumecheng-1292	293	80	,	,	PUNCT
fumecheng-1292	293	81	2	2	NUM
fumecheng-1292	293	82	2	2	NUM
fumecheng-1292	293	83	k	k	NOUN
fumecheng-1292	293	84	k	k	PROPN
fumecheng-1292	294	1	k	k	PROPN
fumecheng-1292	295	1	k	k	PROPN
fumecheng-1292	296	1	k	k	PROPN
fumecheng-1292	296	2	k	k	PUNCT
fumecheng-1292	296	3	x	x	PUNCT
fumecheng-1292	296	4	x	x	PUNCT
fumecheng-1292	296	5	y	y	PROPN
fumecheng-1292	296	6	t	t	PROPN
fumecheng-1292	296	7	b	b	PROPN
fumecheng-1292	296	8	y	y	PROPN
fumecheng-1292	296	9	t	t	PROPN
fumecheng-1292	296	10	b	b	PROPN
fumecheng-1292	296	11	y	y	PROPN
fumecheng-1292	296	12	t	t	PROPN
fumecheng-1292	296	13	k	k	PROPN
fumecheng-1292	296	14	y	y	PROPN
fumecheng-1292	296	15	t	t	PROPN
fumecheng-1292	296	16	y	y	PROPN
fumecheng-1292	296	17	t	t	PROPN
fumecheng-1292	296	18	s	s	PROPN
fumecheng-1292	296	19	y	y	PROPN
fumecheng-1292	296	20	t	t	PROPN
fumecheng-1292	296	21	t	t	PROPN
fumecheng-1292	296	22	t	t	PROPN
fumecheng-1292	296	23	n	n	CCONJ
fumecheng-1292	296	24	n	n	ADP
fumecheng-1292	296	25	l	l	NOUN
fumecheng-1292	296	26	k	k	X
fumecheng-1292	297	1			X
fumecheng-1292	297	2			PROPN
fumecheng-1292	297	3			PROPN
fumecheng-1292	297	4			PROPN
fumecheng-1292	297	5			PROPN
fumecheng-1292	297	6			PROPN
fumecheng-1292	297	7			PROPN
fumecheng-1292	297	8			PROPN
fumecheng-1292	297	9			PROPN
fumecheng-1292	297	10			ADJ
fumecheng-1292	297	11			ADJ
fumecheng-1292	297	12			PROPN
fumecheng-1292	297	13			PROPN
fumecheng-1292	297	14			PROPN
fumecheng-1292	297	15			NOUN
fumecheng-1292	297	16	(	(	PUNCT
fumecheng-1292	297	17	40	40	NUM
fumecheng-1292	297	18	)	)	PUNCT
fumecheng-1292	297	19	for	for	ADP
fumecheng-1292	297	20	approximation	approximation	NOUN
fumecheng-1292	297	21	in	in	ADP
fumecheng-1292	297	22	y	y	NOUN
fumecheng-1292	297	23	-	-	PUNCT
fumecheng-1292	297	24	direction	direction	NOUN
fumecheng-1292	297	25	we	we	PRON
fumecheng-1292	297	26	use	use	VERB
fumecheng-1292	297	27	the	the	DET
fumecheng-1292	297	28	chebyshev	chebyshev	NOUN
fumecheng-1292	297	29	-	-	PUNCT
fumecheng-1292	297	30	collocation	collocation	NOUN
fumecheng-1292	297	31	method	method	NOUN
fumecheng-1292	297	32	in	in	ADP
fumecheng-1292	297	33	the	the	DET
fumecheng-1292	297	34	following	following	ADJ
fumecheng-1292	297	35	way	way	NOUN
fumecheng-1292	297	36	:	:	PUNCT
fumecheng-1292	297	37	2	2	NUM
fumecheng-1292	297	38	(	(	PUNCT
fumecheng-1292	297	39	2	2	NUM
fumecheng-1292	297	40	)	)	PUNCT
fumecheng-1292	297	41	1	1	NUM
fumecheng-1292	297	42	,	,	PUNCT
fumecheng-1292	297	43	2	2	NUM
fumecheng-1292	297	44	,	,	PUNCT
fumecheng-1292	297	45	,	,	PUNCT
fumecheng-1292	297	46	0	0	NUM
fumecheng-1292	297	47	(	(	PUNCT
fumecheng-1292	297	48	,	,	PUNCT
fumecheng-1292	297	49	)	)	PUNCT
fumecheng-1292	297	50	(	(	PUNCT
fumecheng-1292	297	51	,	,	PUNCT
fumecheng-1292	297	52	)	)	PUNCT
fumecheng-1292	297	53	(	(	PUNCT
fumecheng-1292	297	54	,	,	PUNCT
fumecheng-1292	297	55	)	)	PUNCT
fumecheng-1292	297	56	(	(	PUNCT
fumecheng-1292	297	57	,	,	PUNCT
fumecheng-1292	297	58	)	)	PUNCT
fumecheng-1292	297	59	(	(	PUNCT
fumecheng-1292	297	60	,	,	PUNCT
fumecheng-1292	297	61	)	)	PUNCT
fumecheng-1292	297	62	(	(	PUNCT
fumecheng-1292	297	63	,	,	PUNCT
fumecheng-1292	297	64	)	)	PUNCT
fumecheng-1292	297	65	,	,	PUNCT
fumecheng-1292	297	66	...	...	PUNCT
fumecheng-1292	297	67	,	,	PUNCT
fumecheng-1292	297	68	,	,	PUNCT
fumecheng-1292	297	69	cos	cos	PROPN
fumecheng-1292	297	70	,	,	PUNCT
fumecheng-1292	297	71	1	1	NUM
fumecheng-1292	297	72	,	,	PUNCT
fumecheng-1292	297	73	...	...	PUNCT
fumecheng-1292	297	74	,	,	PUNCT
fumecheng-1292	297	75	1	1	NUM
fumecheng-1292	297	76	2	2	NUM
fumecheng-1292	297	77	2	2	NUM
fumecheng-1292	297	78	yn	yn	NOUN
fumecheng-1292	298	1	k	k	PROPN
fumecheng-1292	298	2	j	j	PROPN
fumecheng-1292	299	1	k	k	PROPN
fumecheng-1292	299	2	j	j	PROPN
fumecheng-1292	300	1	k	k	PROPN
fumecheng-1292	300	2	j	j	PROPN
fumecheng-1292	301	1	k	k	PROPN
fumecheng-1292	301	2	j	j	PROPN
fumecheng-1292	302	1	j	j	PROPN
fumecheng-1292	303	1	i	i	PRON
fumecheng-1292	303	2	j	j	PROPN
fumecheng-1292	304	1	k	k	PROPN
fumecheng-1292	304	2	j	j	PROPN
fumecheng-1292	305	1	i	i	PRON
fumecheng-1292	305	2	jx	jx	PROPN
fumecheng-1292	305	3	x	x	VERB
fumecheng-1292	306	1	j	j	PROPN
fumecheng-1292	306	2	y	y	PROPN
fumecheng-1292	306	3	y	y	PROPN
fumecheng-1292	306	4	y	y	PROPN
fumecheng-1292	306	5	t	t	PROPN
fumecheng-1292	306	6	b	b	PROPN
fumecheng-1292	306	7	y	y	PROPN
fumecheng-1292	306	8	t	t	PROPN
fumecheng-1292	306	9	b	b	PROPN
fumecheng-1292	306	10	y	y	PROPN
fumecheng-1292	306	11	t	t	PROPN
fumecheng-1292	306	12	k	k	PROPN
fumecheng-1292	306	13	y	y	PROPN
fumecheng-1292	306	14	t	t	PROPN
fumecheng-1292	307	1	d	d	X
fumecheng-1292	307	2	y	y	PROPN
fumecheng-1292	307	3	t	t	PROPN
fumecheng-1292	307	4	s	s	PROPN
fumecheng-1292	307	5	y	y	PROPN
fumecheng-1292	307	6	t	t	PROPN
fumecheng-1292	307	7	t	t	PROPN
fumecheng-1292	307	8	n	n	CCONJ
fumecheng-1292	307	9	n	n	PROPN
fumecheng-1292	307	10	k	k	PROPN
fumecheng-1292	307	11	y	y	PROPN
fumecheng-1292	307	12	j	j	PROPN
fumecheng-1292	307	13	n	n	CCONJ
fumecheng-1292	307	14	n	n	ADV
fumecheng-1292	307	15			X
fumecheng-1292	307	16			X
fumecheng-1292	307	17			PROPN
fumecheng-1292	308	1			PROPN
fumecheng-1292	308	2			PROPN
fumecheng-1292	308	3			PROPN
fumecheng-1292	308	4			VERB
fumecheng-1292	308	5			PROPN
fumecheng-1292	308	6			PROPN
fumecheng-1292	308	7			ADV
fumecheng-1292	308	8			ADJ
fumecheng-1292	308	9			PROPN
fumecheng-1292	308	10			PROPN
fumecheng-1292	308	11			PROPN
fumecheng-1292	308	12			PROPN
fumecheng-1292	308	13			NOUN
fumecheng-1292	308	14			X
fumecheng-1292	308	15	(	(	PUNCT
fumecheng-1292	308	16	41	41	NUM
fumecheng-1292	308	17	)	)	PUNCT
fumecheng-1292	308	18	where	where	SCONJ
fumecheng-1292	308	19	)	)	PUNCT
fumecheng-1292	308	20	2	2	NUM
fumecheng-1292	308	21	(	(	PUNCT
fumecheng-1292	308	22	,	,	PUNCT
fumecheng-1292	308	23	ijd	ijd	PROPN
fumecheng-1292	308	24	are	be	AUX
fumecheng-1292	308	25	elements	element	NOUN
fumecheng-1292	308	26	of	of	ADP
fumecheng-1292	308	27	the	the	DET
fumecheng-1292	308	28	chebyshev	chebyshev	NOUN
fumecheng-1292	308	29	differentiation	differentiation	NOUN
fumecheng-1292	308	30	matrix	matrix	NOUN
fumecheng-1292	308	31	.	.	PUNCT
fumecheng-1292	309	1	the	the	DET
fumecheng-1292	309	2	boundary	boundary	ADJ
fumecheng-1292	309	3	points	point	NOUN
fumecheng-1292	309	4	j	j	PROPN
fumecheng-1292	309	5	=	=	SYM
fumecheng-1292	309	6	0	0	PROPN
fumecheng-1292	309	7	and	and	CCONJ
fumecheng-1292	309	8	j	j	PROPN
fumecheng-1292	309	9	=	=	NOUN
fumecheng-1292	309	10	ny	ny	PROPN
fumecheng-1292	309	11	are	be	AUX
fumecheng-1292	309	12	not	not	PART
fumecheng-1292	309	13	included	include	VERB
fumecheng-1292	309	14	in	in	ADP
fumecheng-1292	309	15	the	the	DET
fumecheng-1292	309	16	above	above	ADJ
fumecheng-1292	309	17	system	system	NOUN
fumecheng-1292	309	18	of	of	ADP
fumecheng-1292	309	19	equations	equation	NOUN
fumecheng-1292	309	20	.	.	PUNCT
fumecheng-1292	310	1	if	if	SCONJ
fumecheng-1292	310	2	we	we	PRON
fumecheng-1292	310	3	designate	designate	VERB
fumecheng-1292	310	4	:	:	PUNCT
fumecheng-1292	310	5	1	1	NUM
fumecheng-1292	310	6	,	,	PUNCT
fumecheng-1292	310	7	2	2	NUM
fumecheng-1292	310	8	,	,	PUNCT
fumecheng-1292	310	9	(	(	PUNCT
fumecheng-1292	310	10	,	,	PUNCT
fumecheng-1292	310	11	)	)	PUNCT
fumecheng-1292	310	12	(	(	PUNCT
fumecheng-1292	310	13	,	,	PUNCT
fumecheng-1292	310	14	)	)	PUNCT
fumecheng-1292	310	15	(	(	PUNCT
fumecheng-1292	310	16	,	,	PUNCT
fumecheng-1292	310	17	)	)	PUNCT
fumecheng-1292	311	1	k	k	PROPN
fumecheng-1292	312	1	j	j	PROPN
fumecheng-1292	313	1	k	k	PROPN
fumecheng-1292	313	2	j	j	PROPN
fumecheng-1292	314	1	k	k	PROPN
fumecheng-1292	314	2	jb	jb	PROPN
fumecheng-1292	315	1	y	y	PROPN
fumecheng-1292	315	2	t	t	PROPN
fumecheng-1292	315	3	b	b	PROPN
fumecheng-1292	315	4	y	y	PROPN
fumecheng-1292	315	5	t	t	PROPN
fumecheng-1292	315	6	b	b	X
fumecheng-1292	315	7	y	y	PROPN
fumecheng-1292	315	8	t	t	PROPN
fumecheng-1292	315	9			X
fumecheng-1292	315	10	(	(	PUNCT
fumecheng-1292	315	11	42	42	NUM
fumecheng-1292	315	12	)	)	PUNCT
fumecheng-1292	315	13	for	for	ADP
fumecheng-1292	315	14	discretisation	discretisation	NOUN
fumecheng-1292	315	15	in	in	ADP
fumecheng-1292	315	16	time	time	NOUN
fumecheng-1292	315	17	,	,	PUNCT
fumecheng-1292	315	18	the	the	DET
fumecheng-1292	315	19	second	second	ADJ
fumecheng-1292	315	20	order	order	NOUN
fumecheng-1292	315	21	finite	finite	ADJ
fumecheng-1292	315	22	difference	difference	NOUN
fumecheng-1292	315	23	method	method	NOUN
fumecheng-1292	315	24	in	in	ADP
fumecheng-1292	315	25	generalized	generalized	ADJ
fumecheng-1292	315	26	form	form	NOUN
fumecheng-1292	315	27	yields	yield	NOUN
fumecheng-1292	315	28	:	:	PUNCT
fumecheng-1292	315	29	1	1	NUM
fumecheng-1292	315	30	1	1	NUM
fumecheng-1292	315	31	1	1	NUM
fumecheng-1292	315	32	1	1	NUM
fumecheng-1292	315	33	2	2	NUM
fumecheng-1292	315	34	1	1	NUM
fumecheng-1292	315	35	1	1	NUM
fumecheng-1292	315	36	2	2	NUM
fumecheng-1292	315	37	1	1	NUM
fumecheng-1292	315	38	2	2	NUM
fumecheng-1292	315	39	(	(	PUNCT
fumecheng-1292	315	40	2	2	NUM
fumecheng-1292	315	41	)	)	PUNCT
fumecheng-1292	315	42	1	1	NUM
fumecheng-1292	315	43	1	1	NUM
fumecheng-1292	315	44	,	,	PUNCT
fumecheng-1292	315	45	0	0	NUM
fumecheng-1292	315	46	(	(	PUNCT
fumecheng-1292	315	47	1	1	NUM
fumecheng-1292	315	48	)	)	PUNCT
fumecheng-1292	315	49	(	(	PUNCT
fumecheng-1292	315	50	)	)	PUNCT
fumecheng-1292	315	51	2	2	NUM
fumecheng-1292	315	52	(	(	PUNCT
fumecheng-1292	315	53	)	)	PUNCT
fumecheng-1292	315	54	(	(	PUNCT
fumecheng-1292	315	55	1	1	X
fumecheng-1292	315	56	)	)	PUNCT
fumecheng-1292	315	57	(	(	PUNCT
fumecheng-1292	315	58	)	)	PUNCT
fumecheng-1292	315	59	2	2	NUM
fumecheng-1292	315	60	[	[	PUNCT
fumecheng-1292	315	61	(	(	PUNCT
fumecheng-1292	315	62	)	)	PUNCT
fumecheng-1292	315	63	(	(	PUNCT
fumecheng-1292	315	64	)	)	PUNCT
fumecheng-1292	315	65	(	(	PUNCT
fumecheng-1292	315	66	1	1	X
fumecheng-1292	315	67	)	)	PUNCT
fumecheng-1292	315	68	(	(	PUNCT
fumecheng-1292	315	69	)	)	PUNCT
fumecheng-1292	315	70	]	]	PUNCT
fumecheng-1292	316	1	[	[	PUNCT
fumecheng-1292	316	2	(	(	PUNCT
fumecheng-1292	316	3	)	)	PUNCT
fumecheng-1292	316	4	(	(	PUNCT
fumecheng-1292	316	5	1	1	X
fumecheng-1292	316	6	)	)	PUNCT
fumecheng-1292	316	7	(	(	PUNCT
fumecheng-1292	316	8	)	)	PUNCT
fumecheng-1292	316	9	]	]	PUNCT
fumecheng-1292	316	10	[	[	PUNCT
fumecheng-1292	316	11	(	(	PUNCT
fumecheng-1292	316	12	)	)	PUNCT
fumecheng-1292	316	13	(	(	PUNCT
fumecheng-1292	316	14	1	1	X
fumecheng-1292	316	15	)	)	PUNCT
fumecheng-1292	316	16	(	(	PUNCT
fumecheng-1292	316	17	)	)	PUNCT
fumecheng-1292	316	18	]	]	PUNCT
fumecheng-1292	316	19	(	(	PUNCT
fumecheng-1292	316	20	)	)	PUNCT
fumecheng-1292	316	21	(	(	PUNCT
fumecheng-1292	316	22	1	1	X
fumecheng-1292	316	23	)	)	PUNCT
fumecheng-1292	316	24	(	(	PUNCT
fumecheng-1292	316	25	)	)	PUNCT
fumecheng-1292	316	26	,	,	PUNCT
fumecheng-1292	316	27	...	...	PUNCT
fumecheng-1292	316	28	,	,	PUNCT
fumecheng-1292	316	29	2	2	NUM
fumecheng-1292	316	30	y	y	NOUN
fumecheng-1292	316	31	n	n	CCONJ
fumecheng-1292	316	32	n	n	CCONJ
fumecheng-1292	316	33	n	n	ADV
fumecheng-1292	316	34	k	k	PROPN
fumecheng-1292	316	35	j	j	PROPN
fumecheng-1292	317	1	k	k	PROPN
fumecheng-1292	317	2	j	j	PROPN
fumecheng-1292	318	1	k	k	PROPN
fumecheng-1292	318	2	j	j	PROPN
fumecheng-1292	318	3	n	n	CCONJ
fumecheng-1292	318	4	n	n	CCONJ
fumecheng-1292	318	5	n	n	CCONJ
fumecheng-1292	318	6	n	n	CCONJ
fumecheng-1292	318	7	n	n	NOUN
fumecheng-1292	318	8	k	k	PROPN
fumecheng-1292	318	9	j	j	PROPN
fumecheng-1292	319	1	k	k	PROPN
fumecheng-1292	319	2	j	j	PROPN
fumecheng-1292	320	1	k	k	PROPN
fumecheng-1292	320	2	j	j	PROPN
fumecheng-1292	321	1	k	k	PROPN
fumecheng-1292	321	2	j	j	PROPN
fumecheng-1292	322	1	k	k	PROPN
fumecheng-1292	322	2	j	j	PROPN
fumecheng-1292	322	3	n	n	CCONJ
fumecheng-1292	322	4	n	n	CCONJ
fumecheng-1292	322	5	n	n	CCONJ
fumecheng-1292	322	6	n	n	CCONJ
fumecheng-1292	322	7	n	n	ADV
fumecheng-1292	322	8	j	j	NOUN
fumecheng-1292	323	1	i	i	NOUN
fumecheng-1292	323	2	k	k	PROPN
fumecheng-1292	323	3	l	l	PROPN
fumecheng-1292	324	1	k	k	X
fumecheng-1292	324	2	l	l	PUNCT
fumecheng-1292	325	1	k	k	X
fumecheng-1292	325	2	l	l	PUNCT
fumecheng-1292	326	1	k	k	X
fumecheng-1292	326	2	l	l	NOUN
fumecheng-1292	327	1	i	i	NOUN
fumecheng-1292	327	2	x	x	VERB
fumecheng-1292	328	1	y	y	VERB
fumecheng-1292	328	2	y	y	PROPN
fumecheng-1292	328	3	y	y	PROPN
fumecheng-1292	328	4	t	t	PROPN
fumecheng-1292	328	5	b	b	PROPN
fumecheng-1292	328	6	y	y	PROPN
fumecheng-1292	328	7	b	b	PROPN
fumecheng-1292	328	8	y	y	PROPN
fumecheng-1292	328	9	b	b	PROPN
fumecheng-1292	328	10	y	y	PROPN
fumecheng-1292	328	11	k	k	PROPN
fumecheng-1292	328	12	y	y	PROPN
fumecheng-1292	328	13	y	y	PROPN
fumecheng-1292	328	14	d	d	PROPN
fumecheng-1292	328	15	y	y	PROPN
fumecheng-1292	328	16	y	y	PROPN
fumecheng-1292	328	17	s	s	PROPN
fumecheng-1292	328	18	y	y	PROPN
fumecheng-1292	328	19	s	s	PROPN
fumecheng-1292	328	20	y	y	PROPN
fumecheng-1292	328	21	n	n	PROPN
fumecheng-1292	328	22	n	n	CCONJ
fumecheng-1292	328	23	k	k	PROPN
fumecheng-1292	328	24			PROPN
fumecheng-1292	328	25			PROPN
fumecheng-1292	328	26			VERB
fumecheng-1292	328	27			PROPN
fumecheng-1292	328	28			PROPN
fumecheng-1292	329	1			NUM
fumecheng-1292	329	2			NUM
fumecheng-1292	329	3			NUM
fumecheng-1292	329	4			NUM
fumecheng-1292	329	5			VERB
fumecheng-1292	329	6			X
fumecheng-1292	329	7			X
fumecheng-1292	329	8			VERB
fumecheng-1292	329	9			X
fumecheng-1292	329	10			X
fumecheng-1292	329	11			X
fumecheng-1292	329	12			PROPN
fumecheng-1292	329	13			VERB
fumecheng-1292	329	14			PROPN
fumecheng-1292	329	15			VERB
fumecheng-1292	329	16			PROPN
fumecheng-1292	329	17			ADV
fumecheng-1292	329	18			VERB
fumecheng-1292	329	19			PROPN
fumecheng-1292	329	20			PROPN
fumecheng-1292	329	21			ADJ
fumecheng-1292	329	22			PROPN
fumecheng-1292	329	23			PROPN
fumecheng-1292	329	24			PROPN
fumecheng-1292	329	25			PUNCT
fumecheng-1292	329	26			NOUN
fumecheng-1292	329	27			PROPN
fumecheng-1292	329	28			PUNCT
fumecheng-1292	329	29			PROPN
fumecheng-1292	329	30			PROPN
fumecheng-1292	329	31			PUNCT
fumecheng-1292	329	32			VERB
fumecheng-1292	329	33			PROPN
fumecheng-1292	329	34			PROPN
fumecheng-1292	329	35			ADV
fumecheng-1292	329	36			PROPN
fumecheng-1292	329	37			ADV
fumecheng-1292	329	38			VERB
fumecheng-1292	329	39			PROPN
fumecheng-1292	329	40			NUM
fumecheng-1292	329	41			PROPN
fumecheng-1292	329	42			X
fumecheng-1292	329	43	,	,	PUNCT
fumecheng-1292	329	44	cos	cos	PROPN
fumecheng-1292	329	45	,	,	PUNCT
fumecheng-1292	329	46	1	1	NUM
fumecheng-1292	329	47	,	,	PUNCT
fumecheng-1292	329	48	...	...	PUNCT
fumecheng-1292	329	49	,	,	PUNCT
fumecheng-1292	329	50	1	1	NUM
fumecheng-1292	329	51	,	,	PUNCT
fumecheng-1292	329	52	,	,	PUNCT
fumecheng-1292	329	53	0,1	0,1	NUM
fumecheng-1292	329	54	,	,	PUNCT
fumecheng-1292	329	55	...	...	PUNCT
fumecheng-1292	329	56	,	,	PUNCT
fumecheng-1292	329	57	2	2	NUM
fumecheng-1292	329	58	jx	jx	PROPN
fumecheng-1292	329	59	j	j	PROPN
fumecheng-1292	329	60	y	y	PROPN
fumecheng-1292	329	61	n	n	PROPN
fumecheng-1292	329	62	t	t	PROPN
fumecheng-1292	329	63	y	y	PROPN
fumecheng-1292	329	64	y	y	PROPN
fumecheng-1292	329	65	j	j	PROPN
fumecheng-1292	329	66	n	n	ADP
fumecheng-1292	329	67	t	t	PROPN
fumecheng-1292	329	68	n	n	ADP
fumecheng-1292	329	69	t	t	PROPN
fumecheng-1292	329	70	n	n	CCONJ
fumecheng-1292	329	71	n	n	CCONJ
fumecheng-1292	329	72	n	n	CCONJ
fumecheng-1292	329	73			ADJ
fumecheng-1292	329	74			PROPN
fumecheng-1292	329	75			PROPN
fumecheng-1292	329	76			PROPN
fumecheng-1292	329	77			NUM
fumecheng-1292	329	78			NOUN
fumecheng-1292	330	1			NUM
fumecheng-1292	330	2	(	(	PUNCT
fumecheng-1292	330	3	43	43	NUM
fumecheng-1292	330	4	)	)	PUNCT
fumecheng-1292	330	5	instability	instability	NOUN
fumecheng-1292	330	6	of	of	ADP
fumecheng-1292	330	7	rayleigh	rayleigh	NOUN
fumecheng-1292	330	8	-	-	PUNCT
fumecheng-1292	330	9	bénard	bénard	NOUN
fumecheng-1292	330	10	convection	convection	NOUN
fumecheng-1292	330	11	for	for	ADP
fumecheng-1292	330	12	inclined	inclined	ADJ
fumecheng-1292	330	13	lower	low	ADJ
fumecheng-1292	330	14	wall	wall	NOUN
fumecheng-1292	330	15	with	with	ADP
fumecheng-1292	330	16	temperature	temperature	NOUN
fumecheng-1292	330	17	variation	variation	NOUN
fumecheng-1292	330	18	187	187	NUM
fumecheng-1292	330	19	with	with	ADP
fumecheng-1292	330	20	these	these	DET
fumecheng-1292	330	21	values	value	NOUN
fumecheng-1292	330	22	the	the	DET
fumecheng-1292	330	23	above	above	ADJ
fumecheng-1292	330	24	system	system	NOUN
fumecheng-1292	330	25	of	of	ADP
fumecheng-1292	330	26	equations	equation	NOUN
fumecheng-1292	330	27	becomes	become	VERB
fumecheng-1292	330	28	:	:	PUNCT
fumecheng-1292	330	29	1	1	NUM
fumecheng-1292	330	30	2	2	NUM
fumecheng-1292	330	31	1	1	NUM
fumecheng-1292	330	32	2	2	NUM
fumecheng-1292	330	33	1	1	NUM
fumecheng-1292	330	34	22	22	NUM
fumecheng-1292	330	35	,	,	PUNCT
fumecheng-1292	330	36	0	0	NUM
fumecheng-1292	330	37	,	,	PUNCT
fumecheng-1292	330	38	0	0	NUM
fumecheng-1292	330	39	,	,	PUNCT
fumecheng-1292	330	40	1	1	NUM
fumecheng-1292	330	41	,	,	PUNCT
fumecheng-1292	330	42	0	0	NUM
fumecheng-1292	330	43	,	,	PUNCT
fumecheng-1292	330	44	.	.	PUNCT
fumecheng-1292	330	45	.	.	PUNCT
fumecheng-1292	331	1	,	,	PUNCT
fumecheng-1292	331	2	1i	1i	NOUN
fumecheng-1292	331	3	e	e	PROPN
fumecheng-1292	331	4			NUM
fumecheng-1292	331	5			NUM
fumecheng-1292	331	6			NOUN
fumecheng-1292	331	7			X
fumecheng-1292	331	8			X
fumecheng-1292	331	9			X
fumecheng-1292	331	10			X
fumecheng-1292	331	11			VERB
fumecheng-1292	331	12			NOUN
fumecheng-1292	332	1			NUM
fumecheng-1292	333	1			PRON
fumecheng-1292	333	2			NUM
fumecheng-1292	334	1			NUM
fumecheng-1292	334	2			PROPN
fumecheng-1292	334	3			NOUN
fumecheng-1292	334	4	(	(	PUNCT
fumecheng-1292	334	5	44	44	NUM
fumecheng-1292	334	6	)	)	PUNCT
fumecheng-1292	334	7	we	we	PRON
fumecheng-1292	334	8	use	use	VERB
fumecheng-1292	334	9	the	the	DET
fumecheng-1292	334	10	semi	semi	ADJ
fumecheng-1292	334	11	-	-	ADJ
fumecheng-1292	334	12	implicit	implicit	ADJ
fumecheng-1292	334	13	adams	adam	NOUN
fumecheng-1292	334	14	-	-	PUNCT
fumecheng-1292	334	15	bashworth	bashworth	NOUN
fumecheng-1292	334	16	backward	backward	ADJ
fumecheng-1292	334	17	differentiation	differentiation	NOUN
fumecheng-1292	334	18	method	method	NOUN
fumecheng-1292	334	19	for	for	ADP
fumecheng-1292	334	20	which	which	PRON
fumecheng-1292	334	21	we	we	PRON
fumecheng-1292	334	22	have	have	VERB
fumecheng-1292	334	23	:	:	PUNCT
fumecheng-1292	334	24	1	1	NUM
fumecheng-1292	334	25	2	2	NUM
fumecheng-1292	334	26	1	1	NUM
fumecheng-1292	334	27	(	(	PUNCT
fumecheng-1292	334	28	2	2	NUM
fumecheng-1292	334	29	)	)	PUNCT
fumecheng-1292	334	30	1	1	NUM
fumecheng-1292	334	31	,	,	PUNCT
fumecheng-1292	334	32	0	0	NUM
fumecheng-1292	334	33	1	1	NUM
fumecheng-1292	334	34	1	1	NUM
fumecheng-1292	334	35	1	1	NUM
fumecheng-1292	334	36	3	3	NUM
fumecheng-1292	334	37	(	(	PUNCT
fumecheng-1292	334	38	)	)	PUNCT
fumecheng-1292	334	39	(	(	PUNCT
fumecheng-1292	334	40	)	)	PUNCT
fumecheng-1292	334	41	(	(	PUNCT
fumecheng-1292	334	42	)	)	PUNCT
fumecheng-1292	334	43	2	2	NUM
fumecheng-1292	334	44	4	4	NUM
fumecheng-1292	334	45	(	(	PUNCT
fumecheng-1292	334	46	)	)	PUNCT
fumecheng-1292	334	47	(	(	PUNCT
fumecheng-1292	334	48	)	)	PUNCT
fumecheng-1292	334	49	(	(	PUNCT
fumecheng-1292	334	50	)	)	PUNCT
fumecheng-1292	334	51	2	2	NUM
fumecheng-1292	334	52	[	[	PUNCT
fumecheng-1292	334	53	(	(	PUNCT
fumecheng-1292	334	54	)	)	PUNCT
fumecheng-1292	334	55	(	(	PUNCT
fumecheng-1292	334	56	)	)	PUNCT
fumecheng-1292	334	57	]	]	SYM
fumecheng-1292	334	58	2	2	NUM
fumecheng-1292	334	59	,	,	PUNCT
fumecheng-1292	334	60	...	...	PUNCT
fumecheng-1292	334	61	,	,	PUNCT
fumecheng-1292	334	62	,	,	PUNCT
fumecheng-1292	334	63	cos	cos	PROPN
fumecheng-1292	334	64	,	,	PUNCT
fumecheng-1292	334	65	1	1	NUM
fumecheng-1292	334	66	,	,	PUNCT
fumecheng-1292	334	67	...	...	PUNCT
fumecheng-1292	334	68	,	,	PUNCT
fumecheng-1292	334	69	1	1	NUM
fumecheng-1292	334	70	,	,	PUNCT
fumecheng-1292	334	71	,	,	PUNCT
fumecheng-1292	334	72	0,1	0,1	NUM
fumecheng-1292	334	73	,	,	PUNCT
fumecheng-1292	334	74	...	...	PUNCT
fumecheng-1292	334	75	,	,	PUNCT
fumecheng-1292	334	76	2	2	NUM
fumecheng-1292	334	77	2	2	NUM
fumecheng-1292	334	78	yn	yn	NOUN
fumecheng-1292	334	79	n	n	PROPN
fumecheng-1292	334	80	k	k	PROPN
fumecheng-1292	334	81	j	j	PROPN
fumecheng-1292	334	82	n	n	CCONJ
fumecheng-1292	334	83	n	n	PROPN
fumecheng-1292	334	84	k	k	PROPN
fumecheng-1292	335	1	j	j	PROPN
fumecheng-1292	335	2	j	j	PROPN
fumecheng-1292	336	1	i	i	PRON
fumecheng-1292	336	2	k	k	PROPN
fumecheng-1292	337	1	j	j	PROPN
fumecheng-1292	337	2	i	i	PRON
fumecheng-1292	337	3	n	n	VERB
fumecheng-1292	337	4	n	n	PROPN
fumecheng-1292	338	1	k	k	PROPN
fumecheng-1292	338	2	j	j	PROPN
fumecheng-1292	338	3	k	k	PROPN
fumecheng-1292	338	4	jn	jn	PROPN
fumecheng-1292	338	5	n	n	PROPN
fumecheng-1292	338	6	n	n	PROPN
fumecheng-1292	338	7	k	k	PROPN
fumecheng-1292	338	8	j	j	PROPN
fumecheng-1292	339	1	k	k	PROPN
fumecheng-1292	339	2	j	j	PROPN
fumecheng-1292	340	1	k	k	PROPN
fumecheng-1292	340	2	j	j	PROPN
fumecheng-1292	341	1	jx	jx	PROPN
fumecheng-1292	341	2	x	x	PROPN
fumecheng-1292	342	1	j	j	PROPN
fumecheng-1292	342	2	y	y	PROPN
fumecheng-1292	342	3	n	n	PROPN
fumecheng-1292	342	4	t	t	X
fumecheng-1292	342	5	y	y	PROPN
fumecheng-1292	342	6	y	y	PROPN
fumecheng-1292	342	7	k	k	PROPN
fumecheng-1292	343	1	y	y	PROPN
fumecheng-1292	344	1	d	d	PROPN
fumecheng-1292	344	2	y	y	PROPN
fumecheng-1292	344	3	t	t	PROPN
fumecheng-1292	344	4	y	y	PROPN
fumecheng-1292	344	5	y	y	PROPN
fumecheng-1292	344	6	s	s	PROPN
fumecheng-1292	344	7	y	y	PROPN
fumecheng-1292	344	8	b	b	PROPN
fumecheng-1292	344	9	y	y	PROPN
fumecheng-1292	344	10	b	b	PROPN
fumecheng-1292	344	11	y	y	PROPN
fumecheng-1292	344	12	t	t	PROPN
fumecheng-1292	344	13	n	n	CCONJ
fumecheng-1292	344	14	n	n	PROPN
fumecheng-1292	344	15	k	k	PROPN
fumecheng-1292	344	16	y	y	PROPN
fumecheng-1292	344	17	j	j	PROPN
fumecheng-1292	344	18	n	n	ADP
fumecheng-1292	344	19	t	t	PROPN
fumecheng-1292	345	1	n	n	ADP
fumecheng-1292	345	2	t	t	PROPN
fumecheng-1292	345	3	n	n	CCONJ
fumecheng-1292	345	4	n	n	CCONJ
fumecheng-1292	345	5	n	n	ADV
fumecheng-1292	345	6			X
fumecheng-1292	345	7			X
fumecheng-1292	345	8			PROPN
fumecheng-1292	345	9			PROPN
fumecheng-1292	345	10			PROPN
fumecheng-1292	345	11			PROPN
fumecheng-1292	345	12			PRON
fumecheng-1292	345	13			VERB
fumecheng-1292	345	14			PUNCT
fumecheng-1292	345	15			PROPN
fumecheng-1292	345	16			PROPN
fumecheng-1292	345	17			VERB
fumecheng-1292	345	18			PROPN
fumecheng-1292	345	19			VERB
fumecheng-1292	345	20			PROPN
fumecheng-1292	345	21			PRON
fumecheng-1292	345	22			PUNCT
fumecheng-1292	345	23			PROPN
fumecheng-1292	345	24			CCONJ
fumecheng-1292	345	25			PROPN
fumecheng-1292	345	26			PROPN
fumecheng-1292	345	27			PROPN
fumecheng-1292	345	28			NOUN
fumecheng-1292	346	1			PROPN
fumecheng-1292	346	2			PROPN
fumecheng-1292	346	3			NUM
fumecheng-1292	346	4			PROPN
fumecheng-1292	346	5			PROPN
fumecheng-1292	346	6			NUM
fumecheng-1292	346	7			NOUN
fumecheng-1292	347	1			NUM
fumecheng-1292	347	2			X
fumecheng-1292	347	3	(	(	PUNCT
fumecheng-1292	347	4	45	45	NUM
fumecheng-1292	347	5	)	)	PUNCT
fumecheng-1292	347	6	the	the	DET
fumecheng-1292	347	7	values	value	NOUN
fumecheng-1292	347	8	on	on	ADP
fumecheng-1292	347	9	the	the	DET
fumecheng-1292	347	10	right	right	ADJ
fumecheng-1292	347	11	hand	hand	NOUN
fumecheng-1292	347	12	side	side	NOUN
fumecheng-1292	347	13	are	be	AUX
fumecheng-1292	347	14	known	know	VERB
fumecheng-1292	347	15	,	,	PUNCT
fumecheng-1292	347	16	and	and	CCONJ
fumecheng-1292	347	17	the	the	DET
fumecheng-1292	347	18	values	value	NOUN
fumecheng-1292	347	19	on	on	ADP
fumecheng-1292	347	20	left	left	ADJ
fumecheng-1292	347	21	hand	hand	NOUN
fumecheng-1292	347	22	side	side	NOUN
fumecheng-1292	347	23	are	be	AUX
fumecheng-1292	347	24	unknown	unknown	ADJ
fumecheng-1292	347	25	and	and	CCONJ
fumecheng-1292	347	26	have	have	VERB
fumecheng-1292	347	27	to	to	PART
fumecheng-1292	347	28	be	be	AUX
fumecheng-1292	347	29	calculated	calculate	VERB
fumecheng-1292	347	30	for	for	ADP
fumecheng-1292	347	31	each	each	DET
fumecheng-1292	347	32	time	time	NOUN
fumecheng-1292	347	33	step	step	NOUN
fumecheng-1292	347	34	.	.	PUNCT
fumecheng-1292	348	1	values	value	NOUN
fumecheng-1292	348	2	1n	1n	NUM
fumecheng-1292	348	3	k	k	NOUN
fumecheng-1292	348	4			PUNCT
fumecheng-1292	348	5	have	have	VERB
fumecheng-1292	348	6	to	to	PART
fumecheng-1292	348	7	be	be	AUX
fumecheng-1292	348	8	calculated	calculate	VERB
fumecheng-1292	348	9	for	for	ADP
fumecheng-1292	348	10	each	each	DET
fumecheng-1292	348	11	wave	wave	NOUN
fumecheng-1292	348	12	number	number	NOUN
fumecheng-1292	348	13	k	k	NOUN
fumecheng-1292	349	1	=	=	SYM
fumecheng-1292	349	2	0,	0,	NUM
fumecheng-1292	349	3	…	…	SYM
fumecheng-1292	349	4	,nx/2	,nx/2	NOUN
fumecheng-1292	349	5	,	,	PUNCT
fumecheng-1292	349	6	and	and	CCONJ
fumecheng-1292	349	7	each	each	DET
fumecheng-1292	349	8	collocation	collocation	NOUN
fumecheng-1292	349	9	point	point	NOUN
fumecheng-1292	349	10	yj	yj	PROPN
fumecheng-1292	349	11	=	=	PROPN
fumecheng-1292	349	12	cos(j	cos(j	PROPN
fumecheng-1292	349	13	/	/	SYM
fumecheng-1292	349	14	ny	ny	PROPN
fumecheng-1292	349	15	)	)	PUNCT
fumecheng-1292	349	16	,	,	PUNCT
fumecheng-1292	350	1	j	j	PROPN
fumecheng-1292	350	2	=	=	SYM
fumecheng-1292	350	3	1,	1,	NUM
fumecheng-1292	350	4	…	…	SYM
fumecheng-1292	350	5	,ny	,ny	X
fumecheng-1292	350	6	.	.	PUNCT
fumecheng-1292	351	1	the	the	DET
fumecheng-1292	351	2	generalized	generalized	ADJ
fumecheng-1292	351	3	form	form	NOUN
fumecheng-1292	351	4	of	of	ADP
fumecheng-1292	351	5	a	a	DET
fumecheng-1292	351	6	set	set	NOUN
fumecheng-1292	351	7	of	of	ADP
fumecheng-1292	351	8	eqs	eqs	PROPN
fumecheng-1292	351	9	.	.	PUNCT
fumecheng-1292	352	1	(	(	PUNCT
fumecheng-1292	352	2	43	43	NUM
fumecheng-1292	352	3	)	)	PUNCT
fumecheng-1292	352	4	can	can	AUX
fumecheng-1292	352	5	be	be	AUX
fumecheng-1292	352	6	solved	solve	VERB
fumecheng-1292	352	7	for	for	ADP
fumecheng-1292	352	8	γ1=0	γ1=0	PROPN
fumecheng-1292	352	9	,	,	PUNCT
fumecheng-1292	352	10	γ2=0	γ2=0	PROPN
fumecheng-1292	352	11	,	,	PUNCT
fumecheng-1292	352	12	in	in	ADP
fumecheng-1292	352	13	the	the	DET
fumecheng-1292	352	14	following	following	ADJ
fumecheng-1292	352	15	way	way	NOUN
fumecheng-1292	352	16	:	:	PUNCT
fumecheng-1292	352	17	2	2	NUM
fumecheng-1292	352	18	(	(	PUNCT
fumecheng-1292	352	19	2	2	NUM
fumecheng-1292	352	20	)	)	PUNCT
fumecheng-1292	352	21	1	1	NUM
fumecheng-1292	352	22	2	2	NUM
fumecheng-1292	352	23	(	(	PUNCT
fumecheng-1292	352	24	2	2	NUM
fumecheng-1292	352	25	)	)	PUNCT
fumecheng-1292	352	26	,	,	PUNCT
fumecheng-1292	352	27	,	,	PUNCT
fumecheng-1292	353	1	0	0	NUM
fumecheng-1292	353	2	0	0	NUM
fumecheng-1292	353	3	1	1	NUM
fumecheng-1292	353	4	1	1	NUM
fumecheng-1292	353	5	1	1	NUM
fumecheng-1292	353	6	(	(	PUNCT
fumecheng-1292	353	7	1	1	NUM
fumecheng-1292	353	8	)	)	SYM
fumecheng-1292	353	9	2	2	NUM
fumecheng-1292	353	10	(	(	PUNCT
fumecheng-1292	353	11	)	)	PUNCT
fumecheng-1292	353	12	(	(	PUNCT
fumecheng-1292	353	13	1	1	X
fumecheng-1292	353	14	)	)	PUNCT
fumecheng-1292	353	15	(	(	PUNCT
fumecheng-1292	353	16	1	1	X
fumecheng-1292	353	17	)	)	PUNCT
fumecheng-1292	353	18	(	(	PUNCT
fumecheng-1292	353	19	)	)	PUNCT
fumecheng-1292	353	20	2	2	NUM
fumecheng-1292	353	21	2	2	NUM
fumecheng-1292	353	22	(	(	PUNCT
fumecheng-1292	353	23	1	1	NUM
fumecheng-1292	353	24	)	)	PUNCT
fumecheng-1292	353	25	(	(	PUNCT
fumecheng-1292	353	26	)	)	PUNCT
fumecheng-1292	353	27	(	(	PUNCT
fumecheng-1292	353	28	)	)	PUNCT
fumecheng-1292	353	29	(	(	PUNCT
fumecheng-1292	353	30	1	1	X
fumecheng-1292	353	31	)	)	PUNCT
fumecheng-1292	353	32	(	(	PUNCT
fumecheng-1292	353	33	)	)	PUNCT
fumecheng-1292	354	1	[	[	X
fumecheng-1292	354	2	2	2	NUM
fumecheng-1292	354	3	(	(	PUNCT
fumecheng-1292	354	4	)	)	PUNCT
fumecheng-1292	354	5	(	(	PUNCT
fumecheng-1292	354	6	)	)	PUNCT
fumecheng-1292	354	7	]	]	SYM
fumecheng-1292	354	8	2	2	NUM
fumecheng-1292	354	9	,	,	PUNCT
fumecheng-1292	354	10	...	...	PUNCT
fumecheng-1292	354	11	,	,	PUNCT
fumecheng-1292	354	12	,	,	PUNCT
fumecheng-1292	354	13	cos	cos	PROPN
fumecheng-1292	354	14	,	,	PUNCT
fumecheng-1292	354	15	1	1	NUM
fumecheng-1292	354	16	,	,	PUNCT
fumecheng-1292	354	17	...	...	PUNCT
fumecheng-1292	354	18	,	,	PUNCT
fumecheng-1292	354	19	1	1	X
fumecheng-1292	354	20	,	,	PUNCT
fumecheng-1292	354	21	2	2	NUM
fumecheng-1292	354	22	2	2	NUM
fumecheng-1292	354	23	y	y	PROPN
fumecheng-1292	354	24	yn	yn	PROPN
fumecheng-1292	354	25	n	n	CCONJ
fumecheng-1292	354	26	n	n	PROPN
fumecheng-1292	354	27	n	n	ADV
fumecheng-1292	354	28	j	j	NOUN
fumecheng-1292	355	1	i	i	PRON
fumecheng-1292	355	2	k	k	PROPN
fumecheng-1292	356	1	j	j	PROPN
fumecheng-1292	357	1	j	j	PROPN
fumecheng-1292	358	1	i	i	PRON
fumecheng-1292	358	2	k	k	PROPN
fumecheng-1292	359	1	j	j	PROPN
fumecheng-1292	360	1	i	i	PRON
fumecheng-1292	360	2	i	i	VERB
fumecheng-1292	360	3	n	n	VERB
fumecheng-1292	360	4	n	n	CCONJ
fumecheng-1292	360	5	n	n	CCONJ
fumecheng-1292	360	6	n	n	CCONJ
fumecheng-1292	360	7	n	n	NOUN
fumecheng-1292	360	8	k	k	PROPN
fumecheng-1292	360	9	j	j	PROPN
fumecheng-1292	361	1	k	k	PROPN
fumecheng-1292	361	2	j	j	PROPN
fumecheng-1292	362	1	k	k	PROPN
fumecheng-1292	362	2	j	j	PROPN
fumecheng-1292	363	1	k	k	PROPN
fumecheng-1292	363	2	j	j	PROPN
fumecheng-1292	364	1	k	k	PROPN
fumecheng-1292	364	2	j	j	PROPN
fumecheng-1292	365	1	jx	jx	PROPN
fumecheng-1292	365	2	x	x	PROPN
fumecheng-1292	365	3	j	j	PROPN
fumecheng-1292	365	4	y	y	PROPN
fumecheng-1292	365	5	n	n	PROPN
fumecheng-1292	365	6	y	y	PROPN
fumecheng-1292	365	7	k	k	PROPN
fumecheng-1292	366	1	d	d	X
fumecheng-1292	366	2	y	y	PROPN
fumecheng-1292	367	1	k	k	PROPN
fumecheng-1292	368	1	d	d	X
fumecheng-1292	368	2	y	y	PROPN
fumecheng-1292	369	1	t	t	PROPN
fumecheng-1292	369	2	t	t	PROPN
fumecheng-1292	369	3	y	y	PROPN
fumecheng-1292	369	4	s	s	PROPN
fumecheng-1292	369	5	y	y	PROPN
fumecheng-1292	369	6	s	s	X
fumecheng-1292	369	7	y	y	PROPN
fumecheng-1292	369	8	y	y	PROPN
fumecheng-1292	369	9	b	b	PROPN
fumecheng-1292	369	10	y	y	PROPN
fumecheng-1292	369	11	t	t	PROPN
fumecheng-1292	369	12	n	n	CCONJ
fumecheng-1292	369	13	n	n	PROPN
fumecheng-1292	369	14	k	k	PROPN
fumecheng-1292	369	15	y	y	PROPN
fumecheng-1292	369	16	j	j	PROPN
fumecheng-1292	369	17	n	n	ADP
fumecheng-1292	369	18	t	t	PROPN
fumecheng-1292	369	19	n	n	CCONJ
fumecheng-1292	369	20			PROPN
fumecheng-1292	369	21			PROPN
fumecheng-1292	369	22			PUNCT
fumecheng-1292	369	23			X
fumecheng-1292	369	24			X
fumecheng-1292	369	25			X
fumecheng-1292	369	26			X
fumecheng-1292	369	27			PROPN
fumecheng-1292	369	28			PROPN
fumecheng-1292	369	29			PROPN
fumecheng-1292	369	30			X
fumecheng-1292	369	31			X
fumecheng-1292	369	32			PROPN
fumecheng-1292	369	33			PROPN
fumecheng-1292	369	34			ADJ
fumecheng-1292	369	35			PROPN
fumecheng-1292	369	36			PROPN
fumecheng-1292	369	37			PROPN
fumecheng-1292	369	38			VERB
fumecheng-1292	369	39			PROPN
fumecheng-1292	369	40			PROPN
fumecheng-1292	369	41			ADJ
fumecheng-1292	369	42			PROPN
fumecheng-1292	369	43			X
fumecheng-1292	369	44			PROPN
fumecheng-1292	369	45			ADV
fumecheng-1292	369	46			PROPN
fumecheng-1292	369	47			VERB
fumecheng-1292	369	48			PROPN
fumecheng-1292	369	49			PROPN
fumecheng-1292	369	50			NOUN
fumecheng-1292	369	51			PROPN
fumecheng-1292	369	52			PROPN
fumecheng-1292	369	53			NOUN
fumecheng-1292	369	54			NOUN
fumecheng-1292	369	55			X
fumecheng-1292	369	56			PROPN
fumecheng-1292	369	57			PROPN
fumecheng-1292	369	58			VERB
fumecheng-1292	369	59			PROPN
fumecheng-1292	369	60			PROPN
fumecheng-1292	369	61			NUM
fumecheng-1292	369	62			ADJ
fumecheng-1292	369	63			PROPN
fumecheng-1292	369	64			PROPN
fumecheng-1292	369	65			PROPN
fumecheng-1292	369	66			NOUN
fumecheng-1292	370	1			PROPN
fumecheng-1292	370	2			PROPN
fumecheng-1292	370	3			NUM
fumecheng-1292	370	4			PROPN
fumecheng-1292	370	5			PROPN
fumecheng-1292	370	6			NOUN
fumecheng-1292	370	7			X
fumecheng-1292	370	8			X
fumecheng-1292	370	9	,	,	PUNCT
fumecheng-1292	370	10	0,1	0,1	NUM
fumecheng-1292	370	11	,	,	PUNCT
fumecheng-1292	370	12	...	...	PUNCT
fumecheng-1292	370	13	,	,	PUNCT
fumecheng-1292	370	14	tn	tn	PROPN
fumecheng-1292	370	15	t	t	PROPN
fumecheng-1292	370	16	n	n	X
fumecheng-1292	370	17	n	n	PROPN
fumecheng-1292	370	18			NOUN
fumecheng-1292	370	19	(	(	PUNCT
fumecheng-1292	370	20	46	46	NUM
fumecheng-1292	370	21	)	)	PUNCT
fumecheng-1292	370	22	if	if	SCONJ
fumecheng-1292	370	23	introduce	introduce	VERB
fumecheng-1292	370	24	the	the	DET
fumecheng-1292	370	25	following	follow	VERB
fumecheng-1292	370	26	matrices	matrix	NOUN
fumecheng-1292	370	27	:	:	PUNCT
fumecheng-1292	370	28	(	(	PUNCT
fumecheng-1292	370	29	2	2	X
fumecheng-1292	370	30	)	)	PUNCT
fumecheng-1292	370	31	1	1	NUM
fumecheng-1292	370	32	,	,	PUNCT
fumecheng-1292	370	33	4	4	NUM
fumecheng-1292	370	34	,	,	PUNCT
fumecheng-1292	370	35	1	1	NUM
fumecheng-1292	370	36	,	,	PUNCT
fumecheng-1292	370	37	...	...	PUNCT
fumecheng-1292	370	38	,	,	PUNCT
fumecheng-1292	370	39	1	1	NUM
fumecheng-1292	370	40	1	1	NUM
fumecheng-1292	370	41	,	,	PUNCT
fumecheng-1292	370	42	...	...	PUNCT
fumecheng-1292	370	43	,	,	PUNCT
fumecheng-1292	370	44	1	1	NUM
fumecheng-1292	370	45	[	[	PUNCT
fumecheng-1292	370	46	]	]	X
fumecheng-1292	370	47	,	,	PUNCT
fumecheng-1292	370	48	[	[	PUNCT
fumecheng-1292	370	49	]	]	X
fumecheng-1292	370	50	0	0	NUM
fumecheng-1292	370	51	,	,	PUNCT
fumecheng-1292	370	52	...	...	PUNCT
fumecheng-1292	370	53	,	,	PUNCT
fumecheng-1292	370	54	0	0	NUM
fumecheng-1292	370	55	,	,	PUNCT
fumecheng-1292	370	56	...	...	PUNCT
fumecheng-1292	370	57	,	,	PUNCT
fumecheng-1292	370	58	x	x	PUNCT
fumecheng-1292	370	59	x	x	VERB
fumecheng-1292	370	60	i	i	PRON
fumecheng-1292	371	1	j	j	VERB
fumecheng-1292	372	1	i	i	PRON
fumecheng-1292	372	2	j	j	PROPN
fumecheng-1292	373	1	y	y	NOUN
fumecheng-1292	373	2	y	y	PROPN
fumecheng-1292	373	3	i	i	PRON
fumecheng-1292	374	1	n	n	VERB
fumecheng-1292	375	1	i	i	PRON
fumecheng-1292	376	1	n	n	VERB
fumecheng-1292	377	1	i	i	NOUN
fumecheng-1292	377	2	d	d	PROPN
fumecheng-1292	378	1	d	d	X
fumecheng-1292	378	2	j	j	PROPN
fumecheng-1292	378	3	n	n	CCONJ
fumecheng-1292	378	4	j	j	PROPN
fumecheng-1292	378	5	n	n	CCONJ
fumecheng-1292	378	6			NUM
fumecheng-1292	378	7			PROPN
fumecheng-1292	378	8			PROPN
fumecheng-1292	378	9			PROPN
fumecheng-1292	378	10			PROPN
fumecheng-1292	378	11			NOUN
fumecheng-1292	378	12			NUM
fumecheng-1292	378	13			PRON
fumecheng-1292	378	14			NOUN
fumecheng-1292	378	15	(	(	PUNCT
fumecheng-1292	378	16	47	47	NUM
fumecheng-1292	378	17	)	)	PUNCT
fumecheng-1292	378	18	and	and	CCONJ
fumecheng-1292	378	19	scalars	scalar	VERB
fumecheng-1292	378	20	:	:	PUNCT
fumecheng-1292	378	21	2	2	NUM
fumecheng-1292	378	22	2	2	NUM
fumecheng-1292	378	23	1	1	NUM
fumecheng-1292	378	24	0	0	NUM
fumecheng-1292	378	25	1	1	NUM
fumecheng-1292	378	26	(	(	PUNCT
fumecheng-1292	378	27	1	1	NUM
fumecheng-1292	378	28	)	)	PUNCT
fumecheng-1292	378	29	1	1	NUM
fumecheng-1292	378	30	,	,	PUNCT
fumecheng-1292	378	31	(	(	PUNCT
fumecheng-1292	378	32	1	1	NUM
fumecheng-1292	378	33	)	)	PUNCT
fumecheng-1292	378	34	,	,	PUNCT
fumecheng-1292	378	35	2	2	NUM
fumecheng-1292	378	36	2	2	NUM
fumecheng-1292	378	37	k	k	NOUN
fumecheng-1292	378	38	k	k	PROPN
fumecheng-1292	378	39	t	t	PROPN
fumecheng-1292	378	40	t	t	PROPN
fumecheng-1292	378	41	t	t	PROPN
fumecheng-1292	378	42			PROPN
fumecheng-1292	378	43			PROPN
fumecheng-1292	378	44			PROPN
fumecheng-1292	378	45			PROPN
fumecheng-1292	378	46			X
fumecheng-1292	378	47			X
fumecheng-1292	378	48			NOUN
fumecheng-1292	378	49			PROPN
fumecheng-1292	378	50			PROPN
fumecheng-1292	378	51			VERB
fumecheng-1292	378	52			PROPN
fumecheng-1292	378	53			PROPN
fumecheng-1292	378	54			PRON
fumecheng-1292	378	55			ADV
fumecheng-1292	378	56			PROPN
fumecheng-1292	378	57			ADV
fumecheng-1292	378	58			PROPN
fumecheng-1292	378	59			PROPN
fumecheng-1292	378	60			PROPN
fumecheng-1292	378	61			PUNCT
fumecheng-1292	378	62			NOUN
fumecheng-1292	378	63			X
fumecheng-1292	378	64	(	(	PUNCT
fumecheng-1292	378	65	48	48	NUM
fumecheng-1292	378	66	)	)	PUNCT
fumecheng-1292	378	67	the	the	DET
fumecheng-1292	378	68	above	above	ADJ
fumecheng-1292	378	69	system	system	NOUN
fumecheng-1292	378	70	of	of	ADP
fumecheng-1292	378	71	equation	equation	NOUN
fumecheng-1292	378	72	is	be	AUX
fumecheng-1292	378	73	reduced	reduce	VERB
fumecheng-1292	378	74	to	to	ADP
fumecheng-1292	378	75	the	the	DET
fumecheng-1292	378	76	following	follow	VERB
fumecheng-1292	378	77	form	form	NOUN
fumecheng-1292	378	78	:	:	PUNCT
fumecheng-1292	378	79	1	1	NUM
fumecheng-1292	378	80	1	1	NUM
fumecheng-1292	378	81	1	1	NUM
fumecheng-1292	378	82	1	1	NUM
fumecheng-1292	378	83	4	4	NUM
fumecheng-1292	378	84	0	0	NUM
fumecheng-1292	378	85	1	1	NUM
fumecheng-1292	378	86	4	4	NUM
fumecheng-1292	378	87	1	1	NUM
fumecheng-1292	378	88	1	1	NUM
fumecheng-1292	378	89	1	1	NUM
fumecheng-1292	378	90	1	1	NUM
fumecheng-1292	378	91	1	1	NUM
fumecheng-1292	378	92	1	1	NUM
fumecheng-1292	378	93	[	[	PUNCT
fumecheng-1292	378	94	]	]	X
fumecheng-1292	378	95	[	[	PUNCT
fumecheng-1292	378	96	(	(	PUNCT
fumecheng-1292	378	97	1	1	NUM
fumecheng-1292	378	98	)	)	PUNCT
fumecheng-1292	378	99	]	]	PUNCT
fumecheng-1292	379	1	(	(	PUNCT
fumecheng-1292	379	2	1	1	X
fumecheng-1292	379	3	)	)	SYM
fumecheng-1292	379	4	2	2	NUM
fumecheng-1292	379	5	(	(	PUNCT
fumecheng-1292	379	6	)	)	PUNCT
fumecheng-1292	379	7	(	(	PUNCT
fumecheng-1292	379	8	)	)	PUNCT
fumecheng-1292	379	9	,	,	PUNCT
fumecheng-1292	379	10	...	...	PUNCT
fumecheng-1292	379	11	,	,	PUNCT
fumecheng-1292	379	12	,	,	PUNCT
fumecheng-1292	379	13	,	,	PUNCT
fumecheng-1292	379	14	0,1	0,1	NUM
fumecheng-1292	379	15	,	,	PUNCT
fumecheng-1292	379	16	...	...	PUNCT
fumecheng-1292	379	17	,	,	PUNCT
fumecheng-1292	379	18	2	2	NUM
fumecheng-1292	379	19	2	2	NUM
fumecheng-1292	379	20	n	n	ADP
fumecheng-1292	379	21	n	n	CCONJ
fumecheng-1292	379	22	n	n	NOUN
fumecheng-1292	379	23	k	k	PROPN
fumecheng-1292	379	24	k	k	PROPN
fumecheng-1292	379	25	k	k	PROPN
fumecheng-1292	379	26	n	n	CCONJ
fumecheng-1292	379	27	n	n	CCONJ
fumecheng-1292	379	28	n	n	CCONJ
fumecheng-1292	379	29	n	n	NOUN
fumecheng-1292	380	1	k	k	NOUN
fumecheng-1292	380	2	k	k	PROPN
fumecheng-1292	381	1	k	k	PROPN
fumecheng-1292	381	2	j	j	PROPN
fumecheng-1292	382	1	k	k	PROPN
fumecheng-1292	382	2	j	j	PROPN
fumecheng-1292	382	3	x	x	PUNCT
fumecheng-1292	383	1	x	x	PROPN
fumecheng-1292	383	2	n	n	ADP
fumecheng-1292	383	3	t	t	NOUN
fumecheng-1292	384	1	i	i	PRON
fumecheng-1292	385	1	d	d	VERB
fumecheng-1292	385	2	i	i	PRON
fumecheng-1292	386	1	d	d	VERB
fumecheng-1292	386	2	i	i	PRON
fumecheng-1292	387	1	i	i	PRON
fumecheng-1292	387	2	s	s	VERB
fumecheng-1292	388	1	i	i	PRON
fumecheng-1292	388	2	s	s	PROPN
fumecheng-1292	388	3	b	b	PROPN
fumecheng-1292	388	4	y	y	PROPN
fumecheng-1292	388	5	b	b	PROPN
fumecheng-1292	388	6	y	y	PROPN
fumecheng-1292	388	7	n	n	PROPN
fumecheng-1292	388	8	n	n	PROPN
fumecheng-1292	388	9	k	k	PROPN
fumecheng-1292	388	10	t	t	PROPN
fumecheng-1292	389	1	n	n	PROPN
fumecheng-1292	389	2	t	t	PROPN
fumecheng-1292	389	3	n	n	CCONJ
fumecheng-1292	389	4	n	n	CCONJ
fumecheng-1292	389	5			PROPN
fumecheng-1292	389	6			NOUN
fumecheng-1292	389	7			X
fumecheng-1292	389	8			X
fumecheng-1292	389	9			X
fumecheng-1292	389	10			X
fumecheng-1292	389	11			X
fumecheng-1292	389	12			X
fumecheng-1292	389	13			X
fumecheng-1292	389	14			PRON
fumecheng-1292	389	15			VERB
fumecheng-1292	389	16			PROPN
fumecheng-1292	389	17			PROPN
fumecheng-1292	389	18			PUNCT
fumecheng-1292	389	19			PROPN
fumecheng-1292	389	20			PROPN
fumecheng-1292	389	21			PUNCT
fumecheng-1292	389	22			PROPN
fumecheng-1292	389	23			PROPN
fumecheng-1292	389	24			PROPN
fumecheng-1292	389	25			NUM
fumecheng-1292	389	26			PUNCT
fumecheng-1292	389	27			PROPN
fumecheng-1292	389	28			PROPN
fumecheng-1292	389	29			PART
fumecheng-1292	389	30			PROPN
fumecheng-1292	389	31			PROPN
fumecheng-1292	389	32			NUM
fumecheng-1292	389	33			NOUN
fumecheng-1292	389	34			NUM
fumecheng-1292	389	35	(	(	PUNCT
fumecheng-1292	389	36	49	49	NUM
fumecheng-1292	389	37	)	)	PUNCT
fumecheng-1292	389	38	188	188	NUM
fumecheng-1292	389	39	s.	s.	PROPN
fumecheng-1292	389	40	ayed	aye	VERB
fumecheng-1292	389	41	,	,	PUNCT
fumecheng-1292	389	42	g.	g.	PROPN
fumecheng-1292	389	43	ilić	ilić	PROPN
fumecheng-1292	389	44	,	,	PUNCT
fumecheng-1292	389	45	p.	p.	PROPN
fumecheng-1292	389	46	živković	živković	PROPN
fumecheng-1292	389	47	,	,	PUNCT
fumecheng-1292	389	48	m.	m.	NOUN
fumecheng-1292	389	49	vukić	vukić	PROPN
fumecheng-1292	389	50	,	,	PUNCT
fumecheng-1292	389	51	m.	m.	NOUN
fumecheng-1292	389	52	tomić	tomić	NOUN
fumecheng-1292	389	53	where	where	SCONJ
fumecheng-1292	389	54	:	:	PUNCT
fumecheng-1292	389	55	0	0	NUM
fumecheng-1292	389	56	0	0	NUM
fumecheng-1292	389	57	0	0	NUM
fumecheng-1292	389	58	[	[	PUNCT
fumecheng-1292	389	59	(	(	PUNCT
fumecheng-1292	389	60	)	)	PUNCT
fumecheng-1292	389	61	,	,	PUNCT
fumecheng-1292	389	62	...	...	PUNCT
fumecheng-1292	389	63	,	,	PUNCT
fumecheng-1292	389	64	(	(	PUNCT
fumecheng-1292	389	65	)	)	PUNCT
fumecheng-1292	389	66	]	]	PUNCT
fumecheng-1292	389	67	,	,	PUNCT
fumecheng-1292	389	68	[	[	PUNCT
fumecheng-1292	389	69	(	(	PUNCT
fumecheng-1292	389	70	)	)	PUNCT
fumecheng-1292	389	71	,	,	PUNCT
fumecheng-1292	389	72	...	...	PUNCT
fumecheng-1292	389	73	,	,	PUNCT
fumecheng-1292	389	74	(	(	PUNCT
fumecheng-1292	389	75	)	)	PUNCT
fumecheng-1292	389	76	]	]	PUNCT
fumecheng-1292	389	77	,	,	PUNCT
fumecheng-1292	389	78	[	[	PUNCT
fumecheng-1292	389	79	(	(	PUNCT
fumecheng-1292	389	80	)	)	PUNCT
fumecheng-1292	389	81	,	,	PUNCT
fumecheng-1292	389	82	...	...	PUNCT
fumecheng-1292	389	83	,	,	PUNCT
fumecheng-1292	389	84	(	(	PUNCT
fumecheng-1292	389	85	)	)	PUNCT
fumecheng-1292	389	86	]	]	X
fumecheng-1292	389	87	n	n	CCONJ
fumecheng-1292	389	88	n	n	CCONJ
fumecheng-1292	389	89	n	n	ADP
fumecheng-1292	389	90	t	t	PROPN
fumecheng-1292	389	91	n	n	CCONJ
fumecheng-1292	389	92	n	n	PROPN
fumecheng-1292	389	93	n	n	ADP
fumecheng-1292	389	94	t	t	PROPN
fumecheng-1292	389	95	n	n	CCONJ
fumecheng-1292	389	96	n	n	PROPN
fumecheng-1292	389	97	n	n	NOUN
fumecheng-1292	389	98	t	t	NOUN
fumecheng-1292	390	1	k	k	PROPN
fumecheng-1292	390	2	k	k	PROPN
fumecheng-1292	390	3	k	k	PROPN
fumecheng-1292	390	4	n	n	CCONJ
fumecheng-1292	390	5	k	k	PROPN
fumecheng-1292	390	6	k	k	PROPN
fumecheng-1292	390	7	k	k	PROPN
fumecheng-1292	391	1	n	n	CCONJ
fumecheng-1292	391	2	k	k	PROPN
fumecheng-1292	391	3	k	k	PROPN
fumecheng-1292	391	4	k	k	PROPN
fumecheng-1292	392	1	ny	ny	PROPN
fumecheng-1292	393	1	y	y	PROPN
fumecheng-1292	393	2	s	s	PROPN
fumecheng-1292	393	3	s	s	PROPN
fumecheng-1292	393	4	y	y	PROPN
fumecheng-1292	393	5	s	s	PROPN
fumecheng-1292	393	6	y	y	PROPN
fumecheng-1292	393	7	b	b	PROPN
fumecheng-1292	393	8	b	b	PROPN
fumecheng-1292	393	9	y	y	PROPN
fumecheng-1292	393	10	b	b	PROPN
fumecheng-1292	393	11	y	y	PROPN
fumecheng-1292	393	12			PROPN
fumecheng-1292	393	13			PROPN
fumecheng-1292	394	1			PROPN
fumecheng-1292	394	2			NOUN
fumecheng-1292	394	3	(	(	PUNCT
fumecheng-1292	394	4	50	50	NUM
fumecheng-1292	394	5	)	)	PUNCT
fumecheng-1292	394	6	if	if	SCONJ
fumecheng-1292	394	7	we	we	PRON
fumecheng-1292	394	8	introduce	introduce	VERB
fumecheng-1292	394	9	the	the	DET
fumecheng-1292	394	10	following	following	ADJ
fumecheng-1292	394	11	notation	notation	NOUN
fumecheng-1292	394	12	:	:	PUNCT
fumecheng-1292	394	13	1	1	NUM
fumecheng-1292	394	14	1	1	NUM
fumecheng-1292	394	15	1	1	NUM
fumecheng-1292	394	16	4	4	NUM
fumecheng-1292	394	17	0	0	NUM
fumecheng-1292	394	18	0	0	NUM
fumecheng-1292	394	19	1	1	NUM
fumecheng-1292	394	20	4	4	NUM
fumecheng-1292	394	21	1	1	NUM
fumecheng-1292	394	22	1	1	NUM
fumecheng-1292	394	23	1	1	NUM
fumecheng-1292	394	24	[	[	PUNCT
fumecheng-1292	394	25	]	]	X
fumecheng-1292	394	26	,	,	PUNCT
fumecheng-1292	394	27	[	[	PUNCT
fumecheng-1292	394	28	(	(	PUNCT
fumecheng-1292	394	29	1	1	NUM
fumecheng-1292	394	30	)	)	PUNCT
fumecheng-1292	394	31	]	]	PUNCT
fumecheng-1292	394	32	,	,	PUNCT
fumecheng-1292	394	33	b	b	X
fumecheng-1292	395	1	i	i	NOUN
fumecheng-1292	395	2	d	d	PROPN
fumecheng-1292	396	1	b	b	X
fumecheng-1292	396	2	i	i	NOUN
fumecheng-1292	396	3	d	d	SYM
fumecheng-1292	396	4	b	b	PROPN
fumecheng-1292	396	5	i	i	PROPN
fumecheng-1292	396	6			NOUN
fumecheng-1292	396	7			X
fumecheng-1292	396	8			X
fumecheng-1292	396	9			X
fumecheng-1292	396	10			PROPN
fumecheng-1292	396	11			ADJ
fumecheng-1292	396	12			PROPN
fumecheng-1292	396	13			PROPN
fumecheng-1292	396	14			PROPN
fumecheng-1292	396	15			PROPN
fumecheng-1292	396	16			PROPN
fumecheng-1292	396	17			NOUN
fumecheng-1292	396	18	(	(	PUNCT
fumecheng-1292	396	19	51	51	NUM
fumecheng-1292	396	20	)	)	PUNCT
fumecheng-1292	396	21	we	we	PRON
fumecheng-1292	396	22	finally	finally	ADV
fumecheng-1292	396	23	obtain	obtain	VERB
fumecheng-1292	396	24	these	these	DET
fumecheng-1292	396	25	matrix	matrix	NOUN
fumecheng-1292	396	26	equations	equation	NOUN
fumecheng-1292	396	27	:	:	PUNCT
fumecheng-1292	396	28	1	1	NUM
fumecheng-1292	396	29	1	1	NUM
fumecheng-1292	396	30	1	1	NUM
fumecheng-1292	396	31	1	1	NUM
fumecheng-1292	396	32	1	1	NUM
fumecheng-1292	396	33	0	0	NUM
fumecheng-1292	396	34	1	1	NUM
fumecheng-1292	396	35	1	1	NUM
fumecheng-1292	396	36	1(1	1(1	NUM
fumecheng-1292	396	37	)	)	PUNCT
fumecheng-1292	396	38	2	2	NUM
fumecheng-1292	396	39	0	0	NUM
fumecheng-1292	396	40	,	,	PUNCT
fumecheng-1292	396	41	...	...	PUNCT
fumecheng-1292	396	42	,	,	PUNCT
fumecheng-1292	396	43	2	2	NUM
fumecheng-1292	396	44	,	,	PUNCT
fumecheng-1292	396	45	,	,	PUNCT
fumecheng-1292	396	46	0,1	0,1	NUM
fumecheng-1292	396	47	,	,	PUNCT
fumecheng-1292	396	48	...	...	PUNCT
fumecheng-1292	396	49	,	,	PUNCT
fumecheng-1292	396	50	n	n	CCONJ
fumecheng-1292	396	51	n	n	CCONJ
fumecheng-1292	396	52	n	n	CCONJ
fumecheng-1292	396	53	n	n	CCONJ
fumecheng-1292	396	54	n	n	CCONJ
fumecheng-1292	396	55	n	n	CCONJ
fumecheng-1292	396	56	n	n	NOUN
fumecheng-1292	397	1	k	k	NOUN
fumecheng-1292	397	2	k	k	PROPN
fumecheng-1292	398	1	k	k	PROPN
fumecheng-1292	398	2	k	k	PROPN
fumecheng-1292	399	1	k	k	PROPN
fumecheng-1292	400	1	k	k	PROPN
fumecheng-1292	401	1	k	k	PROPN
fumecheng-1292	402	1	x	x	PUNCT
fumecheng-1292	403	1	n	n	VERB
fumecheng-1292	403	2	t	t	PROPN
fumecheng-1292	403	3	b	b	PROPN
fumecheng-1292	403	4	b	b	PROPN
fumecheng-1292	403	5	b	b	PROPN
fumecheng-1292	404	1	i	i	PRON
fumecheng-1292	404	2	s	s	VERB
fumecheng-1292	405	1	i	i	NOUN
fumecheng-1292	405	2	s	s	PROPN
fumecheng-1292	405	3	b	b	PROPN
fumecheng-1292	405	4	b	b	PROPN
fumecheng-1292	405	5	k	k	PROPN
fumecheng-1292	405	6	n	n	PROPN
fumecheng-1292	405	7	t	t	PROPN
fumecheng-1292	406	1	n	n	ADP
fumecheng-1292	406	2	t	t	PROPN
fumecheng-1292	406	3	n	n	CCONJ
fumecheng-1292	406	4	n	n	ADV
fumecheng-1292	406	5			X
fumecheng-1292	406	6			X
fumecheng-1292	406	7			PROPN
fumecheng-1292	406	8			X
fumecheng-1292	406	9			VERB
fumecheng-1292	406	10			PROPN
fumecheng-1292	406	11			VERB
fumecheng-1292	406	12			PROPN
fumecheng-1292	406	13			PROPN
fumecheng-1292	406	14			ADP
fumecheng-1292	406	15			NUM
fumecheng-1292	406	16			ADJ
fumecheng-1292	406	17			PROPN
fumecheng-1292	406	18			PROPN
fumecheng-1292	406	19			VERB
fumecheng-1292	406	20			PROPN
fumecheng-1292	406	21			ADJ
fumecheng-1292	406	22			NOUN
fumecheng-1292	407	1			NUM
fumecheng-1292	407	2	(	(	PUNCT
fumecheng-1292	407	3	52	52	NUM
fumecheng-1292	407	4	)	)	PUNCT
fumecheng-1292	407	5	this	this	DET
fumecheng-1292	407	6	system	system	NOUN
fumecheng-1292	407	7	of	of	ADP
fumecheng-1292	407	8	equations	equation	NOUN
fumecheng-1292	407	9	should	should	AUX
fumecheng-1292	407	10	be	be	AUX
fumecheng-1292	407	11	supplemented	supplement	VERB
fumecheng-1292	407	12	by	by	ADP
fumecheng-1292	407	13	boundary	boundary	ADJ
fumecheng-1292	407	14	conditions	condition	NOUN
fumecheng-1292	407	15	.	.	PUNCT
fumecheng-1292	408	1	the	the	DET
fumecheng-1292	408	2	horizontal	horizontal	ADJ
fumecheng-1292	408	3	walls	wall	NOUN
fumecheng-1292	408	4	are	be	AUX
fumecheng-1292	408	5	assumed	assume	VERB
fumecheng-1292	408	6	to	to	PART
fumecheng-1292	408	7	be	be	AUX
fumecheng-1292	408	8	isothermal	isothermal	ADJ
fumecheng-1292	408	9	with	with	ADP
fumecheng-1292	408	10	non	non	ADJ
fumecheng-1292	408	11	-	-	ADJ
fumecheng-1292	408	12	dimensional	dimensional	ADJ
fumecheng-1292	408	13	temperatures	temperature	NOUN
fumecheng-1292	408	14	θhot	θhot	VERB
fumecheng-1292	408	15	=	=	SYM
fumecheng-1292	408	16	1	1	NUM
fumecheng-1292	408	17	and	and	CCONJ
fumecheng-1292	408	18	θcold	θcold	ADJ
fumecheng-1292	408	19	=	=	SYM
fumecheng-1292	408	20	0	0	NUM
fumecheng-1292	408	21	at	at	ADP
fumecheng-1292	408	22	the	the	DET
fumecheng-1292	408	23	bottom	bottom	NOUN
fumecheng-1292	408	24	and	and	CCONJ
fumecheng-1292	408	25	top	top	ADJ
fumecheng-1292	408	26	walls	wall	NOUN
fumecheng-1292	408	27	:	:	PUNCT
fumecheng-1292	408	28	2	2	NUM
fumecheng-1292	408	29	2	2	NUM
fumecheng-1292	408	30	2	2	NUM
fumecheng-1292	408	31	1	1	NUM
fumecheng-1292	408	32	2	2	NUM
fumecheng-1292	408	33	1	1	NUM
fumecheng-1292	408	34	2	2	NUM
fumecheng-1292	408	35	1	1	NUM
fumecheng-1292	408	36	1	1	NUM
fumecheng-1292	408	37	2	2	NUM
fumecheng-1292	408	38	(	(	PUNCT
fumecheng-1292	408	39	)	)	PUNCT
fumecheng-1292	408	40	(	(	PUNCT
fumecheng-1292	408	41	1	1	NUM
fumecheng-1292	408	42	)	)	PUNCT
fumecheng-1292	408	43	,	,	PUNCT
fumecheng-1292	408	44	(	(	PUNCT
fumecheng-1292	408	45	1	1	X
fumecheng-1292	408	46	)	)	PUNCT
fumecheng-1292	408	47	0	0	NUM
fumecheng-1292	409	1	(	(	PUNCT
fumecheng-1292	409	2	)	)	PUNCT
fumecheng-1292	409	3	(	(	PUNCT
fumecheng-1292	409	4	)	)	PUNCT
fumecheng-1292	409	5	(	(	PUNCT
fumecheng-1292	409	6	1	1	NUM
fumecheng-1292	409	7	)	)	PUNCT
fumecheng-1292	409	8	,	,	PUNCT
fumecheng-1292	409	9	(	(	PUNCT
fumecheng-1292	409	10	1	1	X
fumecheng-1292	409	11	)	)	PUNCT
fumecheng-1292	409	12	1	1	NUM
fumecheng-1292	409	13	(	(	PUNCT
fumecheng-1292	409	14	)	)	PUNCT
fumecheng-1292	409	15	cold	cold	ADJ
fumecheng-1292	409	16	hot	hot	ADJ
fumecheng-1292	409	17	t	t	PROPN
fumecheng-1292	409	18	t	t	PROPN
fumecheng-1292	409	19	t	t	PROPN
fumecheng-1292	409	20	y	y	PROPN
fumecheng-1292	409	21	t	t	PROPN
fumecheng-1292	409	22	y	y	PROPN
fumecheng-1292	410	1	t	t	PROPN
fumecheng-1292	410	2	t	t	PROPN
fumecheng-1292	410	3	t	t	PROPN
fumecheng-1292	410	4	t	t	PROPN
fumecheng-1292	410	5	t	t	PROPN
fumecheng-1292	410	6	y	y	PROPN
fumecheng-1292	410	7	t	t	PROPN
fumecheng-1292	410	8	y	y	PROPN
fumecheng-1292	410	9	t	t	PROPN
fumecheng-1292	410	10	t	t	X
fumecheng-1292	410	11			PROPN
fumecheng-1292	411	1			X
fumecheng-1292	411	2			VERB
fumecheng-1292	411	3			PROPN
fumecheng-1292	412	1			NUM
fumecheng-1292	412	2			PRON
fumecheng-1292	413	1			NUM
fumecheng-1292	413	2			PROPN
fumecheng-1292	413	3			PROPN
fumecheng-1292	413	4			PROPN
fumecheng-1292	413	5			PROPN
fumecheng-1292	413	6			PROPN
fumecheng-1292	413	7			PROPN
fumecheng-1292	413	8			PROPN
fumecheng-1292	413	9			PROPN
fumecheng-1292	413	10			PROPN
fumecheng-1292	413	11			PROPN
fumecheng-1292	413	12			NOUN
fumecheng-1292	413	13	(	(	PUNCT
fumecheng-1292	413	14	53	53	NUM
fumecheng-1292	413	15	)	)	PUNCT
fumecheng-1292	413	16	the	the	DET
fumecheng-1292	413	17	generalized	generalize	VERB
fumecheng-1292	413	18	robin	robin	PROPN
fumecheng-1292	413	19	boundary	boundary	ADJ
fumecheng-1292	413	20	conditions	condition	NOUN
fumecheng-1292	413	21	have	have	VERB
fumecheng-1292	413	22	the	the	DET
fumecheng-1292	413	23	form	form	NOUN
fumecheng-1292	413	24	:	:	PUNCT
fumecheng-1292	413	25	(	(	PUNCT
fumecheng-1292	413	26	1	1	X
fumecheng-1292	413	27	)	)	PUNCT
fumecheng-1292	413	28	(	(	PUNCT
fumecheng-1292	413	29	1	1	X
fumecheng-1292	413	30	)	)	PUNCT
fumecheng-1292	413	31	(	(	PUNCT
fumecheng-1292	413	32	1	1	X
fumecheng-1292	413	33	)	)	PUNCT
fumecheng-1292	413	34	(	(	PUNCT
fumecheng-1292	413	35	1	1	X
fumecheng-1292	413	36	)	)	PUNCT
fumecheng-1292	414	1	y	y	NOUN
fumecheng-1292	414	2	y	y	PROPN
fumecheng-1292	414	3	g	g	PROPN
fumecheng-1292	414	4	y	y	PROPN
fumecheng-1292	414	5	y	y	PROPN
fumecheng-1292	414	6	y	y	PROPN
fumecheng-1292	414	7	g	g	PROPN
fumecheng-1292	414	8	y	y	PROPN
fumecheng-1292	414	9			PROPN
fumecheng-1292	414	10			X
fumecheng-1292	414	11			PROPN
fumecheng-1292	414	12			NOUN
fumecheng-1292	414	13			PROPN
fumecheng-1292	414	14			X
fumecheng-1292	414	15			PROPN
fumecheng-1292	414	16			PROPN
fumecheng-1292	414	17			PROPN
fumecheng-1292	414	18			VERB
fumecheng-1292	414	19			PUNCT
fumecheng-1292	414	20			PROPN
fumecheng-1292	414	21			PROPN
fumecheng-1292	414	22			PROPN
fumecheng-1292	414	23			PROPN
fumecheng-1292	414	24			PROPN
fumecheng-1292	414	25			ADJ
fumecheng-1292	414	26			PROPN
fumecheng-1292	414	27			PROPN
fumecheng-1292	414	28			ADJ
fumecheng-1292	414	29			ADJ
fumecheng-1292	414	30			PROPN
fumecheng-1292	414	31			PROPN
fumecheng-1292	414	32			VERB
fumecheng-1292	414	33			NUM
fumecheng-1292	414	34			PROPN
fumecheng-1292	414	35			PROPN
fumecheng-1292	414	36			PROPN
fumecheng-1292	414	37	(	(	PUNCT
fumecheng-1292	414	38	54	54	NUM
fumecheng-1292	414	39	)	)	PUNCT
fumecheng-1292	414	40	after	after	ADP
fumecheng-1292	414	41	the	the	DET
fumecheng-1292	414	42	implementation	implementation	NOUN
fumecheng-1292	414	43	of	of	ADP
fumecheng-1292	414	44	the	the	DET
fumecheng-1292	414	45	chebyshev	chebyshev	NOUN
fumecheng-1292	414	46	collocation	collocation	NOUN
fumecheng-1292	414	47	method	method	NOUN
fumecheng-1292	414	48	we	we	PRON
fumecheng-1292	414	49	have	have	VERB
fumecheng-1292	414	50	:	:	PUNCT
fumecheng-1292	414	51	(	(	PUNCT
fumecheng-1292	414	52	1	1	X
fumecheng-1292	414	53	)	)	PUNCT
fumecheng-1292	414	54	0	0	NUM
fumecheng-1292	414	55	,	,	PUNCT
fumecheng-1292	414	56	0	0	NUM
fumecheng-1292	414	57	(	(	PUNCT
fumecheng-1292	414	58	1	1	NUM
fumecheng-1292	414	59	)	)	PUNCT
fumecheng-1292	414	60	,	,	PUNCT
fumecheng-1292	414	61	0	0	NUM
fumecheng-1292	414	62	(	(	PUNCT
fumecheng-1292	414	63	)	)	PUNCT
fumecheng-1292	414	64	(	(	PUNCT
fumecheng-1292	414	65	)	)	PUNCT
fumecheng-1292	414	66	(	(	PUNCT
fumecheng-1292	414	67	)	)	PUNCT
fumecheng-1292	414	68	(	(	PUNCT
fumecheng-1292	414	69	)	)	PUNCT
fumecheng-1292	414	70	cos	cos	PROPN
fumecheng-1292	414	71	,	,	PUNCT
fumecheng-1292	414	72	1	1	NUM
fumecheng-1292	414	73	,	,	PUNCT
fumecheng-1292	414	74	...	...	PUNCT
fumecheng-1292	414	75	,	,	PUNCT
fumecheng-1292	414	76	n	n	CCONJ
fumecheng-1292	414	77	n	n	CCONJ
fumecheng-1292	414	78	n	n	CCONJ
fumecheng-1292	414	79	j	j	PROPN
fumecheng-1292	414	80	n	n	CCONJ
fumecheng-1292	414	81	j	j	PROPN
fumecheng-1292	414	82	j	j	PROPN
fumecheng-1292	414	83	n	n	CCONJ
fumecheng-1292	414	84	n	n	CCONJ
fumecheng-1292	414	85	n	n	CCONJ
fumecheng-1292	414	86	n	n	CCONJ
fumecheng-1292	414	87	j	j	PROPN
fumecheng-1292	414	88	n	n	CCONJ
fumecheng-1292	414	89	j	j	PROPN
fumecheng-1292	415	1	j	j	PROPN
fumecheng-1292	415	2	j	j	PROPN
fumecheng-1292	416	1	y	y	PROPN
fumecheng-1292	416	2	d	d	PROPN
fumecheng-1292	416	3	y	y	PROPN
fumecheng-1292	416	4	g	g	PROPN
fumecheng-1292	416	5	y	y	PROPN
fumecheng-1292	416	6	d	d	PROPN
fumecheng-1292	416	7	y	y	PROPN
fumecheng-1292	416	8	g	g	PROPN
fumecheng-1292	416	9	j	j	PROPN
fumecheng-1292	416	10	y	y	PROPN
fumecheng-1292	416	11	j	j	PROPN
fumecheng-1292	416	12	n	n	CCONJ
fumecheng-1292	416	13	n	n	NUM
fumecheng-1292	416	14			NOUN
fumecheng-1292	416	15			PROPN
fumecheng-1292	416	16			NOUN
fumecheng-1292	416	17			PROPN
fumecheng-1292	416	18			X
fumecheng-1292	416	19			PROPN
fumecheng-1292	416	20			NOUN
fumecheng-1292	416	21			PROPN
fumecheng-1292	416	22			PROPN
fumecheng-1292	416	23			PRON
fumecheng-1292	416	24			VERB
fumecheng-1292	416	25			PUNCT
fumecheng-1292	416	26			PROPN
fumecheng-1292	416	27			PROPN
fumecheng-1292	416	28			PROPN
fumecheng-1292	416	29			PROPN
fumecheng-1292	416	30			PRON
fumecheng-1292	416	31			ADV
fumecheng-1292	416	32			NOUN
fumecheng-1292	416	33			VERB
fumecheng-1292	416	34			PRON
fumecheng-1292	416	35			NUM
fumecheng-1292	416	36			NOUN
fumecheng-1292	416	37			X
fumecheng-1292	416	38			X
fumecheng-1292	416	39	(	(	PUNCT
fumecheng-1292	416	40	55	55	NUM
fumecheng-1292	416	41	)	)	PUNCT
fumecheng-1292	416	42	in	in	ADP
fumecheng-1292	416	43	these	these	DET
fumecheng-1292	416	44	equations	equation	NOUN
fumecheng-1292	416	45	n	n	PROPN
fumecheng-1292	416	46	=	=	SYM
fumecheng-1292	416	47	ny	ny	PROPN
fumecheng-1292	416	48	.	.	PROPN
fumecheng-1292	416	49	boundary	boundary	ADJ
fumecheng-1292	416	50	conditions	condition	NOUN
fumecheng-1292	416	51	on	on	ADP
fumecheng-1292	416	52	the	the	DET
fumecheng-1292	416	53	upper	upper	ADJ
fumecheng-1292	416	54	and	and	CCONJ
fumecheng-1292	416	55	lower	low	ADJ
fumecheng-1292	416	56	plates	plate	NOUN
fumecheng-1292	416	57	can	can	AUX
fumecheng-1292	416	58	be	be	AUX
fumecheng-1292	416	59	represented	represent	VERB
fumecheng-1292	416	60	in	in	ADP
fumecheng-1292	416	61	this	this	DET
fumecheng-1292	416	62	way	way	NOUN
fumecheng-1292	416	63	:	:	PUNCT
fumecheng-1292	416	64	,	,	PUNCT
fumecheng-1292	416	65	,	,	PUNCT
fumecheng-1292	416	66	(	(	PUNCT
fumecheng-1292	416	67	,	,	PUNCT
fumecheng-1292	416	68	1	1	NUM
fumecheng-1292	416	69	,	,	PUNCT
fumecheng-1292	416	70	)	)	PUNCT
fumecheng-1292	416	71	(	(	PUNCT
fumecheng-1292	416	72	,	,	PUNCT
fumecheng-1292	416	73	)	)	PUNCT
fumecheng-1292	416	74	(	(	PUNCT
fumecheng-1292	416	75	,	,	PUNCT
fumecheng-1292	416	76	1	1	NUM
fumecheng-1292	416	77	,	,	PUNCT
fumecheng-1292	416	78	)	)	PUNCT
fumecheng-1292	416	79	(	(	PUNCT
fumecheng-1292	416	80	,	,	PUNCT
fumecheng-1292	416	81	)	)	PUNCT
fumecheng-1292	417	1	k	k	PROPN
fumecheng-1292	417	2	ikx	ikx	PROPN
fumecheng-1292	418	1	k	k	PROPN
fumecheng-1292	418	2	k	k	PROPN
fumecheng-1292	418	3	k	k	PROPN
fumecheng-1292	418	4	k	k	PROPN
fumecheng-1292	418	5	ikx	ikx	PROPN
fumecheng-1292	419	1	k	k	PROPN
fumecheng-1292	419	2	k	k	PROPN
fumecheng-1292	420	1	k	k	PROPN
fumecheng-1292	420	2	g	g	PROPN
fumecheng-1292	420	3	x	x	SYM
fumecheng-1292	420	4	t	t	PROPN
fumecheng-1292	420	5	g	g	PROPN
fumecheng-1292	420	6	y	y	PROPN
fumecheng-1292	420	7	t	t	PROPN
fumecheng-1292	420	8	e	e	X
fumecheng-1292	420	9	g	g	PROPN
fumecheng-1292	420	10	x	x	SYM
fumecheng-1292	420	11	t	t	PROPN
fumecheng-1292	420	12	g	g	PROPN
fumecheng-1292	420	13	y	y	PROPN
fumecheng-1292	420	14	t	t	PROPN
fumecheng-1292	420	15	e	e	PROPN
fumecheng-1292	420	16			PROPN
fumecheng-1292	420	17			VERB
fumecheng-1292	420	18			PROPN
fumecheng-1292	420	19			PROPN
fumecheng-1292	420	20			PROPN
fumecheng-1292	420	21			NOUN
fumecheng-1292	420	22			PROPN
fumecheng-1292	420	23			PROPN
fumecheng-1292	420	24			NOUN
fumecheng-1292	420	25			X
fumecheng-1292	420	26			X
fumecheng-1292	420	27	(	(	PUNCT
fumecheng-1292	420	28	56	56	NUM
fumecheng-1292	420	29	)	)	PUNCT
fumecheng-1292	420	30	instability	instability	NOUN
fumecheng-1292	420	31	of	of	ADP
fumecheng-1292	420	32	rayleigh	rayleigh	NOUN
fumecheng-1292	420	33	-	-	PUNCT
fumecheng-1292	420	34	bénard	bénard	NOUN
fumecheng-1292	420	35	convection	convection	NOUN
fumecheng-1292	420	36	for	for	ADP
fumecheng-1292	420	37	inclined	inclined	ADJ
fumecheng-1292	420	38	lower	low	ADJ
fumecheng-1292	420	39	wall	wall	NOUN
fumecheng-1292	420	40	with	with	ADP
fumecheng-1292	420	41	temperature	temperature	NOUN
fumecheng-1292	420	42	variation	variation	NOUN
fumecheng-1292	420	43	189	189	NUM
fumecheng-1292	420	44	if	if	SCONJ
fumecheng-1292	420	45	we	we	PRON
fumecheng-1292	420	46	multiply	multiply	VERB
fumecheng-1292	420	47	by	by	ADP
fumecheng-1292	420	48	eilx	eilx	NOUN
fumecheng-1292	420	49	and	and	CCONJ
fumecheng-1292	420	50	implement	implement	VERB
fumecheng-1292	420	51	orthogonality	orthogonality	NOUN
fumecheng-1292	420	52	condition	condition	NOUN
fumecheng-1292	420	53	(	(	PUNCT
fumecheng-1292	420	54	39	39	NUM
fumecheng-1292	420	55	)	)	PUNCT
fumecheng-1292	420	56	we	we	PRON
fumecheng-1292	420	57	get	get	VERB
fumecheng-1292	420	58	:	:	PUNCT
fumecheng-1292	420	59	(	(	PUNCT
fumecheng-1292	420	60	1	1	X
fumecheng-1292	420	61	)	)	PUNCT
fumecheng-1292	420	62	0	0	NUM
fumecheng-1292	420	63	0	0	NUM
fumecheng-1292	420	64	,	,	PUNCT
fumecheng-1292	420	65	,	,	PUNCT
fumecheng-1292	420	66	0	0	NUM
fumecheng-1292	420	67	(	(	PUNCT
fumecheng-1292	420	68	1	1	NUM
fumecheng-1292	420	69	)	)	PUNCT
fumecheng-1292	420	70	,	,	PUNCT
fumecheng-1292	420	71	,	,	PUNCT
fumecheng-1292	420	72	0	0	NUM
fumecheng-1292	420	73	(	(	PUNCT
fumecheng-1292	420	74	,	,	PUNCT
fumecheng-1292	420	75	)	)	PUNCT
fumecheng-1292	420	76	(	(	PUNCT
fumecheng-1292	420	77	,	,	PUNCT
fumecheng-1292	420	78	)	)	PUNCT
fumecheng-1292	420	79	(	(	PUNCT
fumecheng-1292	420	80	)	)	PUNCT
fumecheng-1292	420	81	(	(	PUNCT
fumecheng-1292	420	82	,	,	PUNCT
fumecheng-1292	420	83	)	)	PUNCT
fumecheng-1292	420	84	(	(	PUNCT
fumecheng-1292	420	85	,	,	PUNCT
fumecheng-1292	420	86	)	)	PUNCT
fumecheng-1292	420	87	(	(	PUNCT
fumecheng-1292	420	88	)	)	PUNCT
fumecheng-1292	420	89	cos	cos	PROPN
fumecheng-1292	420	90	,	,	PUNCT
fumecheng-1292	420	91	1	1	NUM
fumecheng-1292	420	92	,	,	PUNCT
fumecheng-1292	420	93	...	...	PUNCT
fumecheng-1292	420	94	,	,	PUNCT
fumecheng-1292	420	95	n	n	PROPN
fumecheng-1292	421	1	k	k	PROPN
fumecheng-1292	421	2	j	j	PROPN
fumecheng-1292	422	1	k	k	PROPN
fumecheng-1292	422	2	j	j	PROPN
fumecheng-1292	423	1	k	k	PROPN
fumecheng-1292	423	2	j	j	PROPN
fumecheng-1292	423	3	n	n	CCONJ
fumecheng-1292	423	4	k	k	PROPN
fumecheng-1292	423	5	n	n	CCONJ
fumecheng-1292	423	6	n	n	PROPN
fumecheng-1292	423	7	j	j	PROPN
fumecheng-1292	424	1	k	k	PROPN
fumecheng-1292	424	2	j	j	PROPN
fumecheng-1292	425	1	k	k	PROPN
fumecheng-1292	425	2	j	j	PROPN
fumecheng-1292	426	1	j	j	PROPN
fumecheng-1292	426	2	y	y	PROPN
fumecheng-1292	426	3	t	t	PROPN
fumecheng-1292	427	1	d	d	X
fumecheng-1292	427	2	y	y	PROPN
fumecheng-1292	427	3	t	t	PROPN
fumecheng-1292	427	4	g	g	PROPN
fumecheng-1292	427	5	t	t	PROPN
fumecheng-1292	427	6	y	y	PROPN
fumecheng-1292	427	7	t	t	PROPN
fumecheng-1292	427	8	d	d	X
fumecheng-1292	427	9	y	y	PROPN
fumecheng-1292	427	10	t	t	PROPN
fumecheng-1292	427	11	g	g	PROPN
fumecheng-1292	427	12	t	t	PROPN
fumecheng-1292	427	13	j	j	PROPN
fumecheng-1292	427	14	y	y	PROPN
fumecheng-1292	427	15	j	j	PROPN
fumecheng-1292	427	16	n	n	CCONJ
fumecheng-1292	427	17	n	n	NUM
fumecheng-1292	427	18			NOUN
fumecheng-1292	427	19			PROPN
fumecheng-1292	427	20			NOUN
fumecheng-1292	427	21			PROPN
fumecheng-1292	427	22			X
fumecheng-1292	427	23			PROPN
fumecheng-1292	427	24			NOUN
fumecheng-1292	427	25			PROPN
fumecheng-1292	427	26			PROPN
fumecheng-1292	427	27			PRON
fumecheng-1292	427	28			VERB
fumecheng-1292	427	29			PUNCT
fumecheng-1292	427	30			PROPN
fumecheng-1292	427	31			PROPN
fumecheng-1292	427	32			PROPN
fumecheng-1292	427	33			PROPN
fumecheng-1292	427	34			PRON
fumecheng-1292	427	35			ADV
fumecheng-1292	427	36			NOUN
fumecheng-1292	427	37			VERB
fumecheng-1292	427	38			PRON
fumecheng-1292	427	39			NUM
fumecheng-1292	427	40			NOUN
fumecheng-1292	427	41			X
fumecheng-1292	427	42			X
fumecheng-1292	427	43	(	(	PUNCT
fumecheng-1292	427	44	57	57	NUM
fumecheng-1292	427	45	)	)	PUNCT
fumecheng-1292	427	46	in	in	ADP
fumecheng-1292	427	47	our	our	PRON
fumecheng-1292	427	48	case	case	NOUN
fumecheng-1292	427	49	we	we	PRON
fumecheng-1292	427	50	have	have	VERB
fumecheng-1292	427	51	:	:	PUNCT
fumecheng-1292	427	52	1	1	NUM
fumecheng-1292	427	53	1(1	1(1	NUM
fumecheng-1292	427	54	)	)	PUNCT
fumecheng-1292	427	55	(	(	PUNCT
fumecheng-1292	427	56	1	1	NUM
fumecheng-1292	427	57	)	)	PUNCT
fumecheng-1292	427	58	(	(	PUNCT
fumecheng-1292	427	59	1	1	X
fumecheng-1292	427	60	)	)	PUNCT
fumecheng-1292	427	61	(	(	PUNCT
fumecheng-1292	427	62	1	1	NUM
fumecheng-1292	427	63	)	)	PUNCT
fumecheng-1292	427	64	0	0	NUM
fumecheng-1292	428	1	0,0	0,0	NUM
fumecheng-1292	428	2	0,1	0,1	NUM
fumecheng-1292	428	3	0,2	0,2	NUM
fumecheng-1292	428	4	0	0	NUM
fumecheng-1292	428	5	,	,	PUNCT
fumecheng-1292	428	6	,	,	PUNCT
fumecheng-1292	428	7	(	(	PUNCT
fumecheng-1292	428	8	1	1	X
fumecheng-1292	428	9	)	)	PUNCT
fumecheng-1292	428	10	(	(	PUNCT
fumecheng-1292	428	11	1	1	X
fumecheng-1292	428	12	)	)	PUNCT
fumecheng-1292	428	13	(	(	PUNCT
fumecheng-1292	428	14	1	1	X
fumecheng-1292	428	15	)	)	PUNCT
fumecheng-1292	428	16	(	(	PUNCT
fumecheng-1292	428	17	1	1	NUM
fumecheng-1292	428	18	)	)	PUNCT
fumecheng-1292	428	19	,	,	PUNCT
fumecheng-1292	428	20	,	,	PUNCT
fumecheng-1292	428	21	0	0	NUM
fumecheng-1292	428	22	,	,	PUNCT
fumecheng-1292	428	23	1	1	NUM
fumecheng-1292	428	24	,	,	PUNCT
fumecheng-1292	428	25	2	2	NUM
fumecheng-1292	428	26	,	,	PUNCT
fumecheng-1292	428	27	(	(	PUNCT
fumecheng-1292	428	28	)	)	PUNCT
fumecheng-1292	428	29	(	(	PUNCT
fumecheng-1292	428	30	)	)	PUNCT
fumecheng-1292	428	31	n	n	CCONJ
fumecheng-1292	428	32	nk	nk	PROPN
fumecheng-1292	428	33	n	n	PROPN
fumecheng-1292	428	34	k	k	PROPN
fumecheng-1292	428	35	kn	kn	PROPN
fumecheng-1292	428	36	n	n	CCONJ
fumecheng-1292	428	37	n	n	CCONJ
fumecheng-1292	428	38	n	n	CCONJ
fumecheng-1292	428	39	n	n	CCONJ
fumecheng-1292	428	40	k	k	PROPN
fumecheng-1292	428	41	n	n	CCONJ
fumecheng-1292	428	42	y	y	PROPN
fumecheng-1292	429	1	d	d	PROPN
fumecheng-1292	429	2	d	d	PROPN
fumecheng-1292	429	3	d	d	X
fumecheng-1292	430	1	d	d	X
fumecheng-1292	430	2	g	g	NOUN
fumecheng-1292	430	3	gd	gd	PROPN
fumecheng-1292	431	1	d	d	PROPN
fumecheng-1292	431	2	d	d	PROPN
fumecheng-1292	431	3	d	d	X
fumecheng-1292	431	4	y	y	PROPN
fumecheng-1292	431	5			PROPN
fumecheng-1292	431	6			X
fumecheng-1292	431	7			PROPN
fumecheng-1292	431	8			PROPN
fumecheng-1292	431	9			PROPN
fumecheng-1292	431	10			PROPN
fumecheng-1292	431	11			PROPN
fumecheng-1292	431	12			PROPN
fumecheng-1292	431	13			PROPN
fumecheng-1292	431	14			PROPN
fumecheng-1292	431	15			PROPN
fumecheng-1292	431	16			PROPN
fumecheng-1292	431	17			PROPN
fumecheng-1292	431	18			VERB
fumecheng-1292	431	19			PROPN
fumecheng-1292	431	20			PROPN
fumecheng-1292	431	21			PROPN
fumecheng-1292	431	22			PROPN
fumecheng-1292	431	23			PUNCT
fumecheng-1292	431	24			PUNCT
fumecheng-1292	431	25			PUNCT
fumecheng-1292	431	26			X
fumecheng-1292	431	27			PROPN
fumecheng-1292	431	28			NOUN
fumecheng-1292	431	29			ADP
fumecheng-1292	432	1			PROPN
fumecheng-1292	432	2			PROPN
fumecheng-1292	432	3			SYM
fumecheng-1292	432	4			PROPN
fumecheng-1292	432	5			NOUN
fumecheng-1292	432	6			NUM
fumecheng-1292	432	7			ADV
fumecheng-1292	432	8			NOUN
fumecheng-1292	432	9			NUM
fumecheng-1292	432	10			NOUN
fumecheng-1292	432	11			VERB
fumecheng-1292	433	1			ADJ
fumecheng-1292	433	2			PROPN
fumecheng-1292	433	3			NOUN
fumecheng-1292	433	4			NOUN
fumecheng-1292	433	5			PROPN
fumecheng-1292	433	6			PROPN
fumecheng-1292	433	7			PROPN
fumecheng-1292	433	8			PROPN
fumecheng-1292	433	9			PROPN
fumecheng-1292	433	10	(	(	PUNCT
fumecheng-1292	433	11	58	58	NUM
fumecheng-1292	433	12	)	)	PUNCT
fumecheng-1292	433	13	(	(	PUNCT
fumecheng-1292	433	14	1	1	X
fumecheng-1292	433	15	)	)	PUNCT
fumecheng-1292	433	16	(	(	PUNCT
fumecheng-1292	433	17	1	1	X
fumecheng-1292	433	18	)	)	PUNCT
fumecheng-1292	433	19	(	(	PUNCT
fumecheng-1292	433	20	1	1	X
fumecheng-1292	433	21	)	)	PUNCT
fumecheng-1292	433	22	(	(	PUNCT
fumecheng-1292	433	23	1	1	X
fumecheng-1292	433	24	)	)	PUNCT
fumecheng-1292	433	25	0,0	0,0	NUM
fumecheng-1292	433	26	0,1	0,1	NUM
fumecheng-1292	433	27	0,2	0,2	NUM
fumecheng-1292	433	28	0	0	NUM
fumecheng-1292	433	29	,	,	PUNCT
fumecheng-1292	433	30	6	6	NUM
fumecheng-1292	433	31	(	(	PUNCT
fumecheng-1292	433	32	1	1	NUM
fumecheng-1292	433	33	)	)	PUNCT
fumecheng-1292	433	34	(	(	PUNCT
fumecheng-1292	433	35	1	1	X
fumecheng-1292	433	36	)	)	PUNCT
fumecheng-1292	433	37	(	(	PUNCT
fumecheng-1292	433	38	1	1	X
fumecheng-1292	433	39	)	)	PUNCT
fumecheng-1292	433	40	(	(	PUNCT
fumecheng-1292	433	41	1	1	NUM
fumecheng-1292	433	42	)	)	PUNCT
fumecheng-1292	433	43	,	,	PUNCT
fumecheng-1292	433	44	0	0	NUM
fumecheng-1292	433	45	,	,	PUNCT
fumecheng-1292	433	46	1	1	NUM
fumecheng-1292	433	47	,	,	PUNCT
fumecheng-1292	433	48	2	2	NUM
fumecheng-1292	433	49	,	,	PUNCT
fumecheng-1292	433	50	1	1	NUM
fumecheng-1292	433	51	,	,	PUNCT
fumecheng-1292	433	52	1	1	NUM
fumecheng-1292	433	53	,	,	PUNCT
fumecheng-1292	433	54	1	1	NUM
fumecheng-1292	433	55	1	1	NUM
fumecheng-1292	433	56	6	6	NUM
fumecheng-1292	433	57	,	,	PUNCT
fumecheng-1292	433	58	,	,	PUNCT
fumecheng-1292	433	59	0	0	NUM
fumecheng-1292	433	60	,	,	PUNCT
fumecheng-1292	433	61	...	...	PUNCT
fumecheng-1292	433	62	,	,	PUNCT
fumecheng-1292	433	63	,	,	PUNCT
fumecheng-1292	433	64	,	,	PUNCT
fumecheng-1292	433	65	0,1	0,1	NUM
fumecheng-1292	433	66	,	,	PUNCT
fumecheng-1292	433	67	...	...	PUNCT
fumecheng-1292	433	68	,	,	PUNCT
fumecheng-1292	433	69	2	2	NUM
fumecheng-1292	433	70	n	n	CCONJ
fumecheng-1292	433	71	n	n	CCONJ
fumecheng-1292	433	72	n	n	CCONJ
fumecheng-1292	433	73	n	n	CCONJ
fumecheng-1292	433	74	n	n	CCONJ
fumecheng-1292	433	75	n	n	CCONJ
fumecheng-1292	433	76	n	n	CCONJ
fumecheng-1292	433	77	kn	kn	NOUN
fumecheng-1292	433	78	k	k	PROPN
fumecheng-1292	433	79	k	k	PROPN
fumecheng-1292	433	80	n	n	CCONJ
fumecheng-1292	433	81	n	n	NOUN
fumecheng-1292	433	82	x	x	PROPN
fumecheng-1292	433	83	k	k	PROPN
fumecheng-1292	433	84	k	k	PROPN
fumecheng-1292	434	1	n	n	PROPN
fumecheng-1292	434	2	t	t	NOUN
fumecheng-1292	435	1	d	d	X
fumecheng-1292	435	2	d	d	PROPN
fumecheng-1292	436	1	d	d	PROPN
fumecheng-1292	437	1	d	d	PROPN
fumecheng-1292	438	1	d	d	PROPN
fumecheng-1292	439	1	d	d	PROPN
fumecheng-1292	440	1	d	d	PROPN
fumecheng-1292	441	1	d	d	PROPN
fumecheng-1292	442	1	d	d	X
fumecheng-1292	442	2	g	g	NOUN
fumecheng-1292	442	3	g	g	PROPN
fumecheng-1292	442	4	g	g	PROPN
fumecheng-1292	442	5	n	n	PROPN
fumecheng-1292	442	6	d	d	NOUN
fumecheng-1292	442	7	g	g	PROPN
fumecheng-1292	442	8	k	k	PROPN
fumecheng-1292	442	9	t	t	PROPN
fumecheng-1292	442	10	n	n	PROPN
fumecheng-1292	442	11	t	t	PROPN
fumecheng-1292	442	12	n	n	CCONJ
fumecheng-1292	442	13	n	n	NOUN
fumecheng-1292	442	14			NUM
fumecheng-1292	442	15			PROPN
fumecheng-1292	442	16			PROPN
fumecheng-1292	442	17			PROPN
fumecheng-1292	442	18			PROPN
fumecheng-1292	442	19			PROPN
fumecheng-1292	442	20			PROPN
fumecheng-1292	442	21			PROPN
fumecheng-1292	442	22			PROPN
fumecheng-1292	442	23			PROPN
fumecheng-1292	442	24			PROPN
fumecheng-1292	442	25			PROPN
fumecheng-1292	442	26			VERB
fumecheng-1292	442	27			PROPN
fumecheng-1292	442	28			PUNCT
fumecheng-1292	442	29			PUNCT
fumecheng-1292	442	30			PROPN
fumecheng-1292	442	31			PROPN
fumecheng-1292	442	32			PROPN
fumecheng-1292	442	33			PROPN
fumecheng-1292	442	34			PART
fumecheng-1292	442	35			PROPN
fumecheng-1292	442	36			PROPN
fumecheng-1292	442	37			PUNCT
fumecheng-1292	442	38			PUNCT
fumecheng-1292	443	1			PROPN
fumecheng-1292	443	2			SYM
fumecheng-1292	443	3			PROPN
fumecheng-1292	443	4			NOUN
fumecheng-1292	443	5			NOUN
fumecheng-1292	443	6			PROPN
fumecheng-1292	443	7			PROPN
fumecheng-1292	443	8			PROPN
fumecheng-1292	443	9			PROPN
fumecheng-1292	443	10			NOUN
fumecheng-1292	443	11			PROPN
fumecheng-1292	443	12			NOUN
fumecheng-1292	443	13			NOUN
fumecheng-1292	443	14			VERB
fumecheng-1292	443	15			PROPN
fumecheng-1292	443	16			PROPN
fumecheng-1292	444	1			NUM
fumecheng-1292	444	2			ADJ
fumecheng-1292	444	3			NOUN
fumecheng-1292	445	1			NUM
fumecheng-1292	445	2	(	(	PUNCT
fumecheng-1292	445	3	59	59	NUM
fumecheng-1292	445	4	)	)	PUNCT
fumecheng-1292	445	5	system	system	NOUN
fumecheng-1292	445	6	of	of	ADP
fumecheng-1292	445	7	equations	equation	NOUN
fumecheng-1292	445	8	(	(	PUNCT
fumecheng-1292	445	9	52	52	NUM
fumecheng-1292	445	10	)	)	PUNCT
fumecheng-1292	445	11	and	and	CCONJ
fumecheng-1292	445	12	(	(	PUNCT
fumecheng-1292	445	13	59	59	NUM
fumecheng-1292	445	14	)	)	PUNCT
fumecheng-1292	445	15	can	can	AUX
fumecheng-1292	445	16	be	be	AUX
fumecheng-1292	445	17	solved	solve	VERB
fumecheng-1292	445	18	by	by	ADP
fumecheng-1292	445	19	direct	direct	ADJ
fumecheng-1292	445	20	methods	method	NOUN
fumecheng-1292	445	21	:	:	PUNCT
fumecheng-1292	445	22	1	1	NUM
fumecheng-1292	445	23	1	1	NUM
fumecheng-1292	445	24	1	1	NUM
fumecheng-1292	445	25	1	1	NUM
fumecheng-1292	445	26	1	1	NUM
fumecheng-1292	445	27	1	1	NUM
fumecheng-1292	445	28	1	1	NUM
fumecheng-1292	445	29	1	1	NUM
fumecheng-1292	445	30	1	1	NUM
fumecheng-1292	445	31	1	1	NUM
fumecheng-1292	445	32	1	1	NUM
fumecheng-1292	445	33	6	6	NUM
fumecheng-1292	445	34	(	(	PUNCT
fumecheng-1292	445	35	1	1	NUM
fumecheng-1292	445	36	)	)	PUNCT
fumecheng-1292	445	37	2	2	NUM
fumecheng-1292	445	38	,	,	PUNCT
fumecheng-1292	445	39	0	0	NUM
fumecheng-1292	445	40	,	,	PUNCT
fumecheng-1292	445	41	...	...	PUNCT
fumecheng-1292	445	42	,	,	PUNCT
fumecheng-1292	445	43	,	,	PUNCT
fumecheng-1292	445	44	,	,	PUNCT
fumecheng-1292	445	45	0,1	0,1	NUM
fumecheng-1292	445	46	,	,	PUNCT
fumecheng-1292	445	47	...	...	PUNCT
fumecheng-1292	445	48	,	,	PUNCT
fumecheng-1292	445	49	2	2	NUM
fumecheng-1292	445	50	n	n	CCONJ
fumecheng-1292	445	51	n	n	CCONJ
fumecheng-1292	445	52	n	n	CCONJ
fumecheng-1292	445	53	n	n	CCONJ
fumecheng-1292	445	54	n	n	CCONJ
fumecheng-1292	445	55	n	n	CCONJ
fumecheng-1292	445	56	n	n	NOUN
fumecheng-1292	445	57	k	k	NOUN
fumecheng-1292	445	58	k	k	PROPN
fumecheng-1292	446	1	k	k	PROPN
fumecheng-1292	446	2	k	k	PROPN
fumecheng-1292	446	3	k	k	PROPN
fumecheng-1292	446	4	k	k	PROPN
fumecheng-1292	446	5	k	k	PROPN
fumecheng-1292	446	6	n	n	CCONJ
fumecheng-1292	446	7	n	n	NOUN
fumecheng-1292	446	8	x	x	PROPN
fumecheng-1292	446	9	k	k	PROPN
fumecheng-1292	446	10	k	k	PROPN
fumecheng-1292	446	11	n	n	PROPN
fumecheng-1292	446	12	t	t	X
fumecheng-1292	446	13	b	b	NOUN
fumecheng-1292	447	1	i	i	PRON
fumecheng-1292	447	2	s	s	VERB
fumecheng-1292	447	3	i	i	NOUN
fumecheng-1292	447	4	s	s	PROPN
fumecheng-1292	447	5	b	b	PROPN
fumecheng-1292	447	6	b	b	PROPN
fumecheng-1292	447	7	b	b	PROPN
fumecheng-1292	447	8	h	h	NOUN
fumecheng-1292	448	1	n	n	NOUN
fumecheng-1292	448	2	d	d	NOUN
fumecheng-1292	448	3	g	g	PROPN
fumecheng-1292	448	4	k	k	PROPN
fumecheng-1292	448	5	t	t	PROPN
fumecheng-1292	448	6	n	n	PROPN
fumecheng-1292	448	7	t	t	PROPN
fumecheng-1292	448	8	n	n	CCONJ
fumecheng-1292	448	9	n	n	CCONJ
fumecheng-1292	448	10			NOUN
fumecheng-1292	448	11			X
fumecheng-1292	448	12			X
fumecheng-1292	448	13			PROPN
fumecheng-1292	448	14			PROPN
fumecheng-1292	448	15			PROPN
fumecheng-1292	448	16			PUNCT
fumecheng-1292	448	17			PROPN
fumecheng-1292	448	18			PROPN
fumecheng-1292	448	19			PUNCT
fumecheng-1292	448	20			PROPN
fumecheng-1292	448	21			VERB
fumecheng-1292	448	22			PROPN
fumecheng-1292	449	1			PROPN
fumecheng-1292	449	2			ADJ
fumecheng-1292	449	3			PROPN
fumecheng-1292	449	4			PROPN
fumecheng-1292	449	5			VERB
fumecheng-1292	449	6			VERB
fumecheng-1292	449	7			PROPN
fumecheng-1292	449	8			NUM
fumecheng-1292	449	9			PRON
fumecheng-1292	449	10			NOUN
fumecheng-1292	449	11			NOUN
fumecheng-1292	449	12			NUM
fumecheng-1292	449	13	(	(	PUNCT
fumecheng-1292	449	14	60	60	NUM
fumecheng-1292	449	15	)	)	PUNCT
fumecheng-1292	449	16	if	if	SCONJ
fumecheng-1292	449	17	we	we	PRON
fumecheng-1292	449	18	introduce	introduce	VERB
fumecheng-1292	449	19	the	the	DET
fumecheng-1292	449	20	following	following	ADJ
fumecheng-1292	449	21	notation	notation	NOUN
fumecheng-1292	449	22	:	:	PUNCT
fumecheng-1292	449	23			PROPN
fumecheng-1292	449	24			PROPN
fumecheng-1292	449	25			X
fumecheng-1292	449	26			NOUN
fumecheng-1292	449	27			VERB
fumecheng-1292	449	28			PROPN
fumecheng-1292	449	29			PROPN
fumecheng-1292	449	30			PROPN
fumecheng-1292	449	31			NOUN
fumecheng-1292	449	32			NOUN
fumecheng-1292	449	33			VERB
fumecheng-1292	449	34			PROPN
fumecheng-1292	449	35			PROPN
fumecheng-1292	449	36			PROPN
fumecheng-1292	449	37			CCONJ
fumecheng-1292	449	38			PUNCT
fumecheng-1292	449	39	1	1	NUM
fumecheng-1292	449	40	1	1	NUM
fumecheng-1292	449	41	1	1	NUM
fumecheng-1292	449	42	6	6	NUM
fumecheng-1292	449	43	1	1	NUM
fumecheng-1292	449	44	,	,	PUNCT
fumecheng-1292	449	45	n	n	CCONJ
fumecheng-1292	449	46	k	k	PROPN
fumecheng-1292	450	1	n	n	CCONJ
fumecheng-1292	451	1	kn	kn	NOUN
fumecheng-1292	451	2	k	k	PROPN
fumecheng-1292	451	3	g	g	PROPN
fumecheng-1292	452	1	h	h	NOUN
fumecheng-1292	453	1	f	f	PROPN
fumecheng-1292	453	2	d	d	PROPN
fumecheng-1292	453	3	b	b	PROPN
fumecheng-1292	453	4	a	a	PRON
fumecheng-1292	453	5			PROPN
fumecheng-1292	453	6			PROPN
fumecheng-1292	453	7	(	(	PUNCT
fumecheng-1292	453	8	61	61	NUM
fumecheng-1292	453	9	)	)	PUNCT
fumecheng-1292	453	10	the	the	DET
fumecheng-1292	453	11	system	system	NOUN
fumecheng-1292	453	12	is	be	AUX
fumecheng-1292	453	13	reduced	reduce	VERB
fumecheng-1292	453	14	to	to	ADP
fumecheng-1292	453	15	:	:	PUNCT
fumecheng-1292	453	16	1	1	NUM
fumecheng-1292	453	17	1	1	NUM
fumecheng-1292	453	18	0	0	NUM
fumecheng-1292	453	19	,	,	PUNCT
fumecheng-1292	453	20	...	...	PUNCT
fumecheng-1292	453	21	,	,	PUNCT
fumecheng-1292	453	22	,	,	PUNCT
fumecheng-1292	453	23	0,1	0,1	NUM
fumecheng-1292	453	24	,	,	PUNCT
fumecheng-1292	453	25	...	...	PUNCT
fumecheng-1292	453	26	,	,	PUNCT
fumecheng-1292	454	1	2	2	NUM
fumecheng-1292	454	2	n	n	SYM
fumecheng-1292	454	3	n	n	NOUN
fumecheng-1292	454	4	k	k	NOUN
fumecheng-1292	454	5	k	k	X
fumecheng-1292	454	6	x	x	X
fumecheng-1292	454	7	t	t	PROPN
fumecheng-1292	454	8	a	a	DET
fumecheng-1292	454	9	f	f	PROPN
fumecheng-1292	454	10	n	n	CCONJ
fumecheng-1292	454	11	k	k	PROPN
fumecheng-1292	454	12	n	n	CCONJ
fumecheng-1292	454	13	n	n	ADV
fumecheng-1292	454	14			PROPN
fumecheng-1292	454	15			PROPN
fumecheng-1292	454	16			ADV
fumecheng-1292	455	1			NUM
fumecheng-1292	455	2			NOUN
fumecheng-1292	455	3	(	(	PUNCT
fumecheng-1292	455	4	62	62	NUM
fumecheng-1292	455	5	)	)	PUNCT
fumecheng-1292	455	6	this	this	DET
fumecheng-1292	455	7	system	system	NOUN
fumecheng-1292	455	8	of	of	ADP
fumecheng-1292	455	9	equations	equation	NOUN
fumecheng-1292	455	10	should	should	AUX
fumecheng-1292	455	11	be	be	AUX
fumecheng-1292	455	12	solved	solve	VERB
fumecheng-1292	455	13	in	in	ADP
fumecheng-1292	455	14	a	a	DET
fumecheng-1292	455	15	given	give	VERB
fumecheng-1292	455	16	time	time	NOUN
fumecheng-1292	455	17	step	step	NOUN
fumecheng-1292	455	18	prior	prior	ADV
fumecheng-1292	455	19	the	the	DET
fumecheng-1292	455	20	solution	solution	NOUN
fumecheng-1292	455	21	of	of	ADP
fumecheng-1292	455	22	momentum	momentum	NOUN
fumecheng-1292	455	23	equation	equation	NOUN
fumecheng-1292	455	24	in	in	ADP
fumecheng-1292	455	25	the	the	DET
fumecheng-1292	455	26	vorticity	vorticity	NOUN
fumecheng-1292	455	27	-	-	PUNCT
fumecheng-1292	455	28	stream	stream	NOUN
fumecheng-1292	455	29	function	function	NOUN
fumecheng-1292	455	30	form	form	NOUN
fumecheng-1292	455	31	eqs	eqs	X
fumecheng-1292	455	32	.	.	PUNCT
fumecheng-1292	456	1	(	(	PUNCT
fumecheng-1292	456	2	16	16	NUM
fumecheng-1292	456	3	)	)	PUNCT
fumecheng-1292	456	4	and	and	CCONJ
fumecheng-1292	456	5	(	(	PUNCT
fumecheng-1292	456	6	19	19	NUM
fumecheng-1292	456	7	)	)	PUNCT
fumecheng-1292	456	8	,	,	PUNCT
fumecheng-1292	456	9	and	and	CCONJ
fumecheng-1292	456	10	the	the	DET
fumecheng-1292	456	11	calculated	calculated	ADJ
fumecheng-1292	456	12	values	value	NOUN
fumecheng-1292	456	13	of	of	ADP
fumecheng-1292	456	14	θn+1	θn+1	NUM
fumecheng-1292	456	15	should	should	AUX
fumecheng-1292	456	16	be	be	AUX
fumecheng-1292	456	17	used	use	VERB
fumecheng-1292	456	18	in	in	ADP
fumecheng-1292	456	19	eq	eq	ADP
fumecheng-1292	456	20	.	.	PUNCT
fumecheng-1292	457	1	(	(	PUNCT
fumecheng-1292	457	2	16	16	NUM
fumecheng-1292	457	3	)	)	PUNCT
fumecheng-1292	457	4	.	.	PUNCT
fumecheng-1292	458	1	the	the	DET
fumecheng-1292	458	2	system	system	NOUN
fumecheng-1292	458	3	of	of	ADP
fumecheng-1292	458	4	eqs	eqs	PROPN
fumecheng-1292	458	5	.	.	PUNCT
fumecheng-1292	459	1	(	(	PUNCT
fumecheng-1292	459	2	16	16	NUM
fumecheng-1292	459	3	)	)	PUNCT
fumecheng-1292	459	4	,	,	PUNCT
fumecheng-1292	459	5	(	(	PUNCT
fumecheng-1292	459	6	19	19	NUM
fumecheng-1292	459	7	)	)	PUNCT
fumecheng-1292	459	8	and	and	CCONJ
fumecheng-1292	459	9	(	(	PUNCT
fumecheng-1292	459	10	25	25	NUM
fumecheng-1292	459	11	)	)	PUNCT
fumecheng-1292	459	12	is	be	AUX
fumecheng-1292	459	13	solved	solve	VERB
fumecheng-1292	459	14	for	for	ADP
fumecheng-1292	459	15	each	each	DET
fumecheng-1292	459	16	time	time	NOUN
fumecheng-1292	459	17	step	step	NOUN
fumecheng-1292	459	18	n	n	NOUN
fumecheng-1292	459	19	=	=	SYM
fumecheng-1292	459	20	0,1,	0,1,	NOUN
fumecheng-1292	459	21	…	…	SYM
fumecheng-1292	459	22	,nt	,nt	PUNCT
fumecheng-1292	459	23	for	for	ADP
fumecheng-1292	459	24	all	all	DET
fumecheng-1292	459	25	wave	wave	NOUN
fumecheng-1292	459	26	numbers	number	NOUN
fumecheng-1292	459	27	k	k	NOUN
fumecheng-1292	459	28	=	=	PUNCT
fumecheng-1292	459	29	0,1,	0,1,	NOUN
fumecheng-1292	459	30	…	…	NUM
fumecheng-1292	459	31	,nx/2	,nx/2	X
fumecheng-1292	459	32	.	.	PUNCT
fumecheng-1292	460	1	190	190	NUM
fumecheng-1292	460	2	s.	s.	PROPN
fumecheng-1292	460	3	ayed	aye	VERB
fumecheng-1292	460	4	,	,	PUNCT
fumecheng-1292	460	5	g.	g.	PROPN
fumecheng-1292	460	6	ilić	ilić	PROPN
fumecheng-1292	460	7	,	,	PUNCT
fumecheng-1292	460	8	p.	p.	PROPN
fumecheng-1292	460	9	živković	živković	PROPN
fumecheng-1292	460	10	,	,	PUNCT
fumecheng-1292	460	11	m.	m.	NOUN
fumecheng-1292	460	12	vukić	vukić	PROPN
fumecheng-1292	460	13	,	,	PUNCT
fumecheng-1292	460	14	m.	m.	NOUN
fumecheng-1292	460	15	tomić	tomić	NOUN
fumecheng-1292	460	16	4	4	NUM
fumecheng-1292	460	17	.	.	NOUN
fumecheng-1292	460	18	initial	initial	ADJ
fumecheng-1292	460	19	and	and	CCONJ
fumecheng-1292	460	20	boundary	boundary	ADJ
fumecheng-1292	460	21	conditions	condition	NOUN
fumecheng-1292	460	22	we	we	PRON
fumecheng-1292	460	23	consider	consider	VERB
fumecheng-1292	460	24	the	the	DET
fumecheng-1292	460	25	initial	initial	ADJ
fumecheng-1292	460	26	condition	condition	NOUN
fumecheng-1292	460	27	for	for	ADP
fumecheng-1292	460	28	our	our	PRON
fumecheng-1292	460	29	simulation	simulation	NOUN
fumecheng-1292	460	30	for	for	ADP
fumecheng-1292	460	31	the	the	DET
fumecheng-1292	460	32	case	case	NOUN
fumecheng-1292	460	33	of	of	ADP
fumecheng-1292	460	34	the	the	DET
fumecheng-1292	460	35	rayleigh	rayleigh	PROPN
fumecheng-1292	460	36	-	-	PUNCT
fumecheng-1292	460	37	bénard	bénard	NOUN
fumecheng-1292	460	38	convection	convection	NOUN
fumecheng-1292	460	39	:	:	PUNCT
fumecheng-1292	460	40	*	*	PUNCT
fumecheng-1292	460	41	(	(	PUNCT
fumecheng-1292	460	42	,	,	PUNCT
fumecheng-1292	460	43	,	,	PUNCT
fumecheng-1292	460	44	0	0	NUM
fumecheng-1292	460	45	)	)	PUNCT
fumecheng-1292	460	46	0	0	NUM
fumecheng-1292	460	47	,	,	PUNCT
fumecheng-1292	460	48	,	,	PUNCT
fumecheng-1292	460	49	(	(	PUNCT
fumecheng-1292	460	50	,	,	PUNCT
fumecheng-1292	460	51	,	,	PUNCT
fumecheng-1292	460	52	0	0	NUM
fumecheng-1292	460	53	)	)	PUNCT
fumecheng-1292	460	54	0	0	NUM
fumecheng-1292	460	55	,	,	PUNCT
fumecheng-1292	460	56	,	,	PUNCT
fumecheng-1292	460	57	(	(	PUNCT
fumecheng-1292	460	58	,	,	PUNCT
fumecheng-1292	460	59	,	,	PUNCT
fumecheng-1292	460	60	0	0	NUM
fumecheng-1292	460	61	)	)	PUNCT
fumecheng-1292	460	62	0	0	NUM
fumecheng-1292	461	1	(	(	PUNCT
fumecheng-1292	461	2	,	,	PUNCT
fumecheng-1292	461	3	)	)	PUNCT
fumecheng-1292	461	4	{	{	PUNCT
fumecheng-1292	461	5	(	(	PUNCT
fumecheng-1292	461	6	,	,	PUNCT
fumecheng-1292	461	7	)	)	PUNCT
fumecheng-1292	461	8	r|	r|	NOUN
fumecheng-1292	461	9	0	0	NUM
fumecheng-1292	461	10	2	2	NUM
fumecheng-1292	461	11	,	,	PUNCT
fumecheng-1292	461	12	1	1	NUM
fumecheng-1292	461	13	1	1	NUM
fumecheng-1292	461	14	}	}	PUNCT
fumecheng-1292	461	15	x	x	PROPN
fumecheng-1292	461	16	y	y	NOUN
fumecheng-1292	461	17	t	t	NOUN
fumecheng-1292	461	18	x	x	PUNCT
fumecheng-1292	462	1	y	y	NOUN
fumecheng-1292	462	2	x	x	PUNCT
fumecheng-1292	462	3	y	y	NOUN
fumecheng-1292	462	4	x	x	PUNCT
fumecheng-1292	462	5	y	y	PROPN
fumecheng-1292	462	6	d	d	NOUN
fumecheng-1292	462	7	x	x	X
fumecheng-1292	462	8	y	y	NOUN
fumecheng-1292	462	9	x	x	PUNCT
fumecheng-1292	462	10	y	y	NOUN
fumecheng-1292	462	11			X
fumecheng-1292	462	12			NOUN
fumecheng-1292	462	13			X
fumecheng-1292	462	14			PROPN
fumecheng-1292	463	1			NUM
fumecheng-1292	463	2			NUM
fumecheng-1292	463	3			NUM
fumecheng-1292	463	4			NOUN
fumecheng-1292	463	5			ADJ
fumecheng-1292	463	6			NOUN
fumecheng-1292	463	7			PROPN
fumecheng-1292	463	8			NOUN
fumecheng-1292	463	9			NUM
fumecheng-1292	463	10			NOUN
fumecheng-1292	463	11			VERB
fumecheng-1292	463	12			NOUN
fumecheng-1292	463	13			NOUN
fumecheng-1292	463	14	(	(	PUNCT
fumecheng-1292	463	15	63	63	NUM
fumecheng-1292	463	16	)	)	PUNCT
fumecheng-1292	463	17	the	the	DET
fumecheng-1292	463	18	temperature	temperature	NOUN
fumecheng-1292	463	19	at	at	ADP
fumecheng-1292	463	20	the	the	DET
fumecheng-1292	463	21	lower	low	ADJ
fumecheng-1292	463	22	plate	plate	NOUN
fumecheng-1292	463	23	is	be	AUX
fumecheng-1292	463	24	raised	raise	VERB
fumecheng-1292	463	25	gradually	gradually	ADV
fumecheng-1292	463	26	according	accord	VERB
fumecheng-1292	463	27	to	to	ADP
fumecheng-1292	463	28	the	the	DET
fumecheng-1292	463	29	following	follow	VERB
fumecheng-1292	463	30	law	law	NOUN
fumecheng-1292	463	31	:	:	PUNCT
fumecheng-1292	463	32	(	(	PUNCT
fumecheng-1292	463	33	,	,	PUNCT
fumecheng-1292	463	34	1	1	NUM
fumecheng-1292	463	35	,	,	PUNCT
fumecheng-1292	463	36	)	)	PUNCT
fumecheng-1292	463	37	(	(	PUNCT
fumecheng-1292	463	38	1	1	NUM
fumecheng-1292	463	39	sin	sin	NOUN
fumecheng-1292	463	40	cos	cos	NOUN
fumecheng-1292	463	41	)	)	PUNCT
fumecheng-1292	463	42	sin	sin	NOUN
fumecheng-1292	463	43	0	0	NUM
fumecheng-1292	463	44	,	,	PUNCT
fumecheng-1292	463	45	0	0	NUM
fumecheng-1292	463	46	/	/	SYM
fumecheng-1292	463	47	2	2	NUM
fumecheng-1292	463	48	(	(	PUNCT
fumecheng-1292	463	49	,	,	PUNCT
fumecheng-1292	463	50	1	1	NUM
fumecheng-1292	463	51	,	,	PUNCT
fumecheng-1292	463	52	)	)	PUNCT
fumecheng-1292	463	53	(	(	PUNCT
fumecheng-1292	463	54	1	1	NUM
fumecheng-1292	463	55	sin	sin	NOUN
fumecheng-1292	463	56	cos	cos	NOUN
fumecheng-1292	463	57	)	)	PUNCT
fumecheng-1292	463	58	,	,	PUNCT
fumecheng-1292	463	59	/	/	SYM
fumecheng-1292	463	60	2	2	NUM
fumecheng-1292	463	61	m	m	NOUN
fumecheng-1292	463	62	m	m	VERB
fumecheng-1292	463	63	m	m	VERB
fumecheng-1292	463	64	m	m	VERB
fumecheng-1292	463	65	m	m	VERB
fumecheng-1292	463	66	m	m	VERB
fumecheng-1292	463	67	m	m	VERB
fumecheng-1292	463	68	m	m	VERB
fumecheng-1292	463	69	x	x	X
fumecheng-1292	463	70	y	y	NOUN
fumecheng-1292	463	71	t	t	NOUN
fumecheng-1292	463	72	q	q	NOUN
fumecheng-1292	464	1	x	x	X
fumecheng-1292	464	2	q	q	PUNCT
fumecheng-1292	464	3	x	x	X
fumecheng-1292	464	4	t	t	NOUN
fumecheng-1292	464	5	t	t	NOUN
fumecheng-1292	464	6	x	x	X
fumecheng-1292	464	7	y	y	PROPN
fumecheng-1292	464	8	t	t	NOUN
fumecheng-1292	464	9	q	q	NOUN
fumecheng-1292	465	1	x	x	X
fumecheng-1292	465	2	q	q	PUNCT
fumecheng-1292	465	3	x	x	X
fumecheng-1292	465	4	t	t	NOUN
fumecheng-1292	465	5			PROPN
fumecheng-1292	465	6			NUM
fumecheng-1292	465	7			NUM
fumecheng-1292	465	8			PROPN
fumecheng-1292	465	9			PROPN
fumecheng-1292	465	10			X
fumecheng-1292	465	11			PROPN
fumecheng-1292	466	1			PROPN
fumecheng-1292	466	2			PROPN
fumecheng-1292	466	3			ADJ
fumecheng-1292	466	4			PRON
fumecheng-1292	466	5			PROPN
fumecheng-1292	466	6			PROPN
fumecheng-1292	466	7			PROPN
fumecheng-1292	466	8			ADV
fumecheng-1292	466	9			PUNCT
fumecheng-1292	466	10			PROPN
fumecheng-1292	466	11			NUM
fumecheng-1292	466	12			NOUN
fumecheng-1292	466	13			NUM
fumecheng-1292	466	14			PROPN
fumecheng-1292	466	15			PROPN
fumecheng-1292	466	16			ADV
fumecheng-1292	466	17			PRON
fumecheng-1292	466	18			PROPN
fumecheng-1292	466	19	(	(	PUNCT
fumecheng-1292	466	20	64	64	NUM
fumecheng-1292	466	21	)	)	PUNCT
fumecheng-1292	466	22	the	the	DET
fumecheng-1292	466	23	temperature	temperature	NOUN
fumecheng-1292	466	24	at	at	ADP
fumecheng-1292	466	25	the	the	DET
fumecheng-1292	466	26	lower	low	ADJ
fumecheng-1292	466	27	wall	wall	NOUN
fumecheng-1292	466	28	is	be	AUX
fumecheng-1292	466	29	not	not	PART
fumecheng-1292	466	30	constant	constant	ADJ
fumecheng-1292	466	31	in	in	ADP
fumecheng-1292	466	32	x	x	NOUN
fumecheng-1292	466	33	-	-	NOUN
fumecheng-1292	466	34	direction	direction	NOUN
fumecheng-1292	466	35	,	,	PUNCT
fumecheng-1292	466	36	it	it	PRON
fumecheng-1292	466	37	depends	depend	VERB
fumecheng-1292	466	38	on	on	ADP
fumecheng-1292	466	39	qm	qm	PROPN
fumecheng-1292	466	40	wave	wave	NOUN
fumecheng-1292	466	41	number	number	NOUN
fumecheng-1292	466	42	modulation	modulation	NOUN
fumecheng-1292	466	43	,	,	PUNCT
fumecheng-1292	466	44	amplitude	amplitude	NOUN
fumecheng-1292	466	45	δm	δm	ADV
fumecheng-1292	466	46	and	and	CCONJ
fumecheng-1292	466	47	frequency	frequency	PROPN
fumecheng-1292	466	48	ω	ω	PROPN
fumecheng-1292	466	49	.	.	PUNCT
fumecheng-1292	467	1	rayleigh	rayleigh	PROPN
fumecheng-1292	467	2	number	number	PROPN
fumecheng-1292	467	3	ra	ra	PROPN
fumecheng-1292	467	4	measures	measure	VERB
fumecheng-1292	467	5	average	average	ADJ
fumecheng-1292	467	6	temperature	temperature	NOUN
fumecheng-1292	467	7	gradient	gradient	NOUN
fumecheng-1292	467	8	,	,	PUNCT
fumecheng-1292	467	9	while	while	SCONJ
fumecheng-1292	467	10	the	the	DET
fumecheng-1292	467	11	additional	additional	ADJ
fumecheng-1292	467	12	spatial	spatial	ADJ
fumecheng-1292	467	13	modulation	modulation	NOUN
fumecheng-1292	467	14	is	be	AUX
fumecheng-1292	467	15	characterized	characterize	VERB
fumecheng-1292	467	16	by	by	ADP
fumecheng-1292	467	17	small	small	ADJ
fumecheng-1292	467	18	amplitude	amplitude	NOUN
fumecheng-1292	467	19	δm	δm	PRON
fumecheng-1292	467	20	and	and	CCONJ
fumecheng-1292	467	21	wave	wave	VERB
fumecheng-1292	467	22	number	number	NOUN
fumecheng-1292	467	23	qm	qm	PROPN
fumecheng-1292	467	24	.	.	PUNCT
fumecheng-1292	468	1	in	in	ADP
fumecheng-1292	468	2	the	the	DET
fumecheng-1292	468	3	absence	absence	NOUN
fumecheng-1292	468	4	of	of	ADP
fumecheng-1292	468	5	forcing	force	VERB
fumecheng-1292	468	6	(	(	PUNCT
fumecheng-1292	468	7	δm	δm	PROPN
fumecheng-1292	468	8	=	=	NOUN
fumecheng-1292	468	9	0	0	NUM
fumecheng-1292	468	10	)	)	PUNCT
fumecheng-1292	468	11	,	,	PUNCT
fumecheng-1292	468	12	convection	convection	NOUN
fumecheng-1292	468	13	cells	cell	NOUN
fumecheng-1292	468	14	with	with	ADP
fumecheng-1292	468	15	wave	wave	NOUN
fumecheng-1292	468	16	number	number	PROPN
fumecheng-1292	468	17	qc	qc	PROPN
fumecheng-1292	468	18	,	,	PUNCT
fumecheng-1292	468	19	bifurcate	bifurcate	VERB
fumecheng-1292	468	20	only	only	ADV
fumecheng-1292	468	21	for	for	ADP
fumecheng-1292	468	22	ra	ra	PROPN
fumecheng-1292	468	23	above	above	ADP
fumecheng-1292	468	24	critical	critical	ADJ
fumecheng-1292	468	25	rayleigh	rayleigh	PROPN
fumecheng-1292	468	26	number	number	NOUN
fumecheng-1292	468	27	rac	rac	PROPN
fumecheng-1292	468	28	.	.	PUNCT
fumecheng-1292	469	1	the	the	DET
fumecheng-1292	469	2	onset	onset	NOUN
fumecheng-1292	469	3	of	of	ADP
fumecheng-1292	469	4	convection	convection	NOUN
fumecheng-1292	469	5	is	be	AUX
fumecheng-1292	469	6	characterized	characterize	VERB
fumecheng-1292	469	7	by	by	ADP
fumecheng-1292	469	8	parabolic	parabolic	ADJ
fumecheng-1292	469	9	linear	linear	PROPN
fumecheng-1292	469	10	stability	stability	NOUN
fumecheng-1292	469	11	neutral	neutral	ADJ
fumecheng-1292	469	12	curve	curve	NOUN
fumecheng-1292	469	13	in	in	ADP
fumecheng-1292	469	14	parameter	parameter	NOUN
fumecheng-1292	469	15	space	space	NOUN
fumecheng-1292	469	16	with	with	ADP
fumecheng-1292	469	17	ra	ra	PROPN
fumecheng-1292	469	18	on	on	ADP
fumecheng-1292	469	19	abscise	abscise	NOUN
fumecheng-1292	469	20	and	and	CCONJ
fumecheng-1292	469	21	q	q	NOUN
fumecheng-1292	469	22	on	on	ADP
fumecheng-1292	469	23	ordinate	ordinate	NOUN
fumecheng-1292	469	24	axis	axis	ADJ
fumecheng-1292	469	25	.	.	PUNCT
fumecheng-1292	470	1	the	the	DET
fumecheng-1292	470	2	neutral	neutral	ADJ
fumecheng-1292	470	3	curve	curve	NOUN
fumecheng-1292	470	4	has	have	VERB
fumecheng-1292	470	5	its	its	PRON
fumecheng-1292	470	6	minimum	minimum	NOUN
fumecheng-1292	470	7	at	at	ADP
fumecheng-1292	470	8	critical	critical	ADJ
fumecheng-1292	470	9	wave	wave	NOUN
fumecheng-1292	470	10	qc	qc	PROPN
fumecheng-1292	470	11	=	=	PROPN
fumecheng-1292	470	12	3.117	3.117	NUM
fumecheng-1292	470	13	and	and	CCONJ
fumecheng-1292	470	14	rayleigh	rayleigh	PROPN
fumecheng-1292	470	15	number	number	NOUN
fumecheng-1292	470	16	rac	rac	PROPN
fumecheng-1292	470	17	=	=	NOUN
fumecheng-1292	470	18	1707.8	1707.8	NUM
fumecheng-1292	470	19	.	.	PUNCT
fumecheng-1292	471	1	in	in	ADP
fumecheng-1292	471	2	contrast	contrast	NOUN
fumecheng-1292	471	3	,	,	PUNCT
fumecheng-1292	471	4	for	for	ADP
fumecheng-1292	471	5	δm	δm	ADV
fumecheng-1292	471	6	=	=	SYM
fumecheng-1292	471	7	0	0	NUM
fumecheng-1292	471	8	,	,	PUNCT
fumecheng-1292	471	9	convection	convection	NOUN
fumecheng-1292	471	10	is	be	AUX
fumecheng-1292	471	11	unavoidable	unavoidable	ADJ
fumecheng-1292	471	12	for	for	ADP
fumecheng-1292	471	13	any	any	DET
fumecheng-1292	471	14	finite	finite	NOUN
fumecheng-1292	471	15	ra	ra	PROPN
fumecheng-1292	471	16	in	in	ADP
fumecheng-1292	471	17	the	the	DET
fumecheng-1292	471	18	simplest	simple	ADJ
fumecheng-1292	471	19	case	case	NOUN
fumecheng-1292	471	20	in	in	ADP
fumecheng-1292	471	21	the	the	DET
fumecheng-1292	471	22	form	form	NOUN
fumecheng-1292	471	23	of	of	ADP
fumecheng-1292	471	24	“	"	PUNCT
fumecheng-1292	471	25	forced	force	VERB
fumecheng-1292	471	26	cells	cell	NOUN
fumecheng-1292	471	27	”	"	PUNCT
fumecheng-1292	471	28	with	with	ADP
fumecheng-1292	471	29	wave	wave	PROPN
fumecheng-1292	471	30	vector	vector	PROPN
fumecheng-1292	471	31	qm	qm	PROPN
fumecheng-1292	471	32	.	.	PUNCT
fumecheng-1292	472	1	the	the	DET
fumecheng-1292	472	2	main	main	ADJ
fumecheng-1292	472	3	goal	goal	NOUN
fumecheng-1292	472	4	of	of	ADP
fumecheng-1292	472	5	the	the	DET
fumecheng-1292	472	6	present	present	ADJ
fumecheng-1292	472	7	work	work	NOUN
fumecheng-1292	472	8	is	be	AUX
fumecheng-1292	472	9	to	to	PART
fumecheng-1292	472	10	provide	provide	VERB
fumecheng-1292	472	11	direct	direct	ADJ
fumecheng-1292	472	12	numerical	numerical	ADJ
fumecheng-1292	472	13	simulation	simulation	NOUN
fumecheng-1292	472	14	of	of	ADP
fumecheng-1292	472	15	cells	cell	NOUN
fumecheng-1292	472	16	and	and	CCONJ
fumecheng-1292	472	17	their	their	PRON
fumecheng-1292	472	18	stability	stability	NOUN
fumecheng-1292	472	19	in	in	ADP
fumecheng-1292	472	20	presence	presence	NOUN
fumecheng-1292	472	21	of	of	ADP
fumecheng-1292	472	22	forcing	force	VERB
fumecheng-1292	472	23	with	with	ADP
fumecheng-1292	472	24	small	small	ADJ
fumecheng-1292	472	25	amplitude	amplitude	NOUN
fumecheng-1292	472	26	δm	δm	ADP
fumecheng-1292	472	27	≈	≈	PROPN
fumecheng-1292	472	28	0	0	NUM
fumecheng-1292	472	29	(	(	PUNCT
fumecheng-1292	472	30	0.01	0.01	NUM
fumecheng-1292	472	31	)	)	PUNCT
fumecheng-1292	472	32	and	and	CCONJ
fumecheng-1292	472	33	in	in	ADP
fumecheng-1292	472	34	ratio	ratio	NOUN
fumecheng-1292	472	35	qm	qm	PROPN
fumecheng-1292	472	36	/	/	SYM
fumecheng-1292	472	37	qc	qc	PROPN
fumecheng-1292	472	38	=	=	VERB
fumecheng-1292	472	39	1.2	1.2	NUM
fumecheng-1292	472	40	.	.	PUNCT
fumecheng-1292	473	1	the	the	DET
fumecheng-1292	473	2	stability	stability	NOUN
fumecheng-1292	473	3	of	of	ADP
fumecheng-1292	473	4	the	the	DET
fumecheng-1292	473	5	forced	force	VERB
fumecheng-1292	473	6	cells	cell	NOUN
fumecheng-1292	473	7	strongly	strongly	ADV
fumecheng-1292	473	8	depends	depend	VERB
fumecheng-1292	473	9	on	on	ADP
fumecheng-1292	473	10	ratio	ratio	PROPN
fumecheng-1292	473	11	qm	qm	PROPN
fumecheng-1292	473	12	/	/	SYM
fumecheng-1292	473	13	qc	qc	PROPN
fumecheng-1292	473	14	.	.	PUNCT
fumecheng-1292	474	1	it	it	PRON
fumecheng-1292	474	2	is	be	AUX
fumecheng-1292	474	3	very	very	ADV
fumecheng-1292	474	4	important	important	ADJ
fumecheng-1292	474	5	to	to	PART
fumecheng-1292	474	6	emphasize	emphasize	VERB
fumecheng-1292	474	7	that	that	SCONJ
fumecheng-1292	474	8	our	our	PRON
fumecheng-1292	474	9	ra	ra	PROPN
fumecheng-1292	474	10	number	number	NOUN
fumecheng-1292	474	11	varies	vary	VERB
fumecheng-1292	474	12	temporally	temporally	ADV
fumecheng-1292	474	13	and	and	CCONJ
fumecheng-1292	474	14	spatially	spatially	ADV
fumecheng-1292	474	15	,	,	PUNCT
fumecheng-1292	474	16	since	since	SCONJ
fumecheng-1292	474	17	temperature	temperature	NOUN
fumecheng-1292	474	18	at	at	ADP
fumecheng-1292	474	19	the	the	DET
fumecheng-1292	474	20	lower	low	ADJ
fumecheng-1292	474	21	wall	wall	NOUN
fumecheng-1292	474	22	is	be	AUX
fumecheng-1292	474	23	described	describe	VERB
fumecheng-1292	474	24	by	by	ADP
fumecheng-1292	474	25	the	the	DET
fumecheng-1292	474	26	eq	eq	NOUN
fumecheng-1292	474	27	.	.	PUNCT
fumecheng-1292	475	1	(	(	PUNCT
fumecheng-1292	475	2	64	64	NUM
fumecheng-1292	475	3	)	)	PUNCT
fumecheng-1292	475	4	,	,	PUNCT
fumecheng-1292	475	5	while	while	SCONJ
fumecheng-1292	475	6	temperature	temperature	NOUN
fumecheng-1292	475	7	difference	difference	NOUN
fumecheng-1292	475	8	t1	t1	NOUN
fumecheng-1292	475	9	-	-	NOUN
fumecheng-1292	475	10	t2	t2	NOUN
fumecheng-1292	475	11	in	in	ADP
fumecheng-1292	475	12	eq	eq	ADP
fumecheng-1292	475	13	.	.	PUNCT
fumecheng-1292	476	1	(	(	PUNCT
fumecheng-1292	476	2	1	1	X
fumecheng-1292	476	3	)	)	PUNCT
fumecheng-1292	476	4	varies	vary	VERB
fumecheng-1292	476	5	with	with	ADP
fumecheng-1292	476	6	time	time	NOUN
fumecheng-1292	476	7	t	t	PROPN
fumecheng-1292	476	8	and	and	CCONJ
fumecheng-1292	476	9	xcoordinate	xcoordinate	PROPN
fumecheng-1292	476	10	.	.	PUNCT
fumecheng-1292	477	1	our	our	PRON
fumecheng-1292	477	2	idea	idea	NOUN
fumecheng-1292	477	3	is	be	AUX
fumecheng-1292	477	4	to	to	PART
fumecheng-1292	477	5	show	show	VERB
fumecheng-1292	477	6	the	the	DET
fumecheng-1292	477	7	evolution	evolution	NOUN
fumecheng-1292	477	8	of	of	ADP
fumecheng-1292	477	9	stream	stream	NOUN
fumecheng-1292	477	10	function	function	NOUN
fumecheng-1292	477	11	,	,	PUNCT
fumecheng-1292	477	12	vorticity	vorticity	NOUN
fumecheng-1292	477	13	,	,	PUNCT
fumecheng-1292	477	14	velocity	velocity	NOUN
fumecheng-1292	477	15	and	and	CCONJ
fumecheng-1292	477	16	temperature	temperature	NOUN
fumecheng-1292	477	17	field	field	NOUN
fumecheng-1292	477	18	in	in	ADP
fumecheng-1292	477	19	the	the	DET
fumecheng-1292	477	20	transition	transition	NOUN
fumecheng-1292	477	21	period	period	NOUN
fumecheng-1292	477	22	0	0	NUM
fumecheng-1292	478	1			NOUN
fumecheng-1292	478	2	t	t	NOUN
fumecheng-1292	478	3			NOUN
fumecheng-1292	478	4			NOUN
fumecheng-1292	478	5	,	,	PUNCT
fumecheng-1292	478	6	for	for	ADP
fumecheng-1292	478	7	ω	ω	PROPN
fumecheng-1292	478	8	=	=	SYM
fumecheng-1292	478	9	1	1	NUM
fumecheng-1292	478	10	.	.	PUNCT
fumecheng-1292	479	1	the	the	DET
fumecheng-1292	479	2	values	value	NOUN
fumecheng-1292	479	3	we	we	PRON
fumecheng-1292	479	4	have	have	AUX
fumecheng-1292	479	5	chosen	choose	VERB
fumecheng-1292	479	6	are	be	AUX
fumecheng-1292	479	7	subcritical	subcritical	ADJ
fumecheng-1292	479	8	values	value	NOUN
fumecheng-1292	479	9	ra=1000	ra=1000	PROPN
fumecheng-1292	479	10	,	,	PUNCT
fumecheng-1292	479	11	qm=3.7	qm=3.7	NOUN
fumecheng-1292	479	12	according	accord	VERB
fumecheng-1292	479	13	to	to	ADP
fumecheng-1292	479	14	linear	linear	ADJ
fumecheng-1292	479	15	stability	stability	NOUN
fumecheng-1292	479	16	analysis	analysis	NOUN
fumecheng-1292	479	17	,	,	PUNCT
fumecheng-1292	479	18	for	for	ADP
fumecheng-1292	479	19	pr	pr	NOUN
fumecheng-1292	479	20	=	=	SYM
fumecheng-1292	479	21	7	7	NUM
fumecheng-1292	479	22	,	,	PUNCT
fumecheng-1292	479	23	δt	δt	NOUN
fumecheng-1292	479	24	=	=	SYM
fumecheng-1292	479	25	/300	/300	PROPN
fumecheng-1292	479	26	,	,	PUNCT
fumecheng-1292	479	27	δm	δm	ADV
fumecheng-1292	479	28	=	=	NOUN
fumecheng-1292	479	29	0.01	0.01	NUM
fumecheng-1292	479	30	,	,	PUNCT
fumecheng-1292	479	31	number	number	NOUN
fumecheng-1292	479	32	of	of	ADP
fumecheng-1292	479	33	fourier	fourier	NOUN
fumecheng-1292	479	34	modes	mode	NOUN
fumecheng-1292	479	35	k	k	PROPN
fumecheng-1292	480	1	=	=	SYM
fumecheng-1292	480	2	96	96	NUM
fumecheng-1292	480	3	,	,	PUNCT
fumecheng-1292	480	4	number	number	NOUN
fumecheng-1292	480	5	of	of	ADP
fumecheng-1292	480	6	nodes	node	NOUN
fumecheng-1292	480	7	nx	nx	NUM
fumecheng-1292	480	8	=	=	SYM
fumecheng-1292	480	9	192	192	NUM
fumecheng-1292	480	10	,	,	PUNCT
fumecheng-1292	480	11	number	number	NOUN
fumecheng-1292	480	12	of	of	ADP
fumecheng-1292	480	13	chebyshev	chebyshev	NOUN
fumecheng-1292	480	14	collocation	collocation	NOUN
fumecheng-1292	480	15	points	point	VERB
fumecheng-1292	480	16	ny	ny	PROPN
fumecheng-1292	481	1	=	=	NOUN
fumecheng-1292	481	2	192	192	NUM
fumecheng-1292	481	3	.	.	NOUN
fumecheng-1292	481	4	5	5	NUM
fumecheng-1292	481	5	.	.	X
fumecheng-1292	481	6	results	result	NOUN
fumecheng-1292	481	7	of	of	ADP
fumecheng-1292	481	8	the	the	DET
fumecheng-1292	481	9	numerical	numerical	PROPN
fumecheng-1292	481	10	simulation	simulation	NOUN
fumecheng-1292	481	11	in	in	ADP
fumecheng-1292	481	12	a	a	DET
fumecheng-1292	481	13	thin	thin	ADJ
fumecheng-1292	481	14	layer	layer	NOUN
fumecheng-1292	481	15	of	of	ADP
fumecheng-1292	481	16	the	the	DET
fumecheng-1292	481	17	fluid	fluid	NOUN
fumecheng-1292	481	18	heated	heat	VERB
fumecheng-1292	481	19	from	from	ADP
fumecheng-1292	481	20	below	below	ADV
fumecheng-1292	481	21	,	,	PUNCT
fumecheng-1292	481	22	convection	convection	NOUN
fumecheng-1292	481	23	occurs	occur	VERB
fumecheng-1292	481	24	as	as	ADP
fumecheng-1292	481	25	a	a	DET
fumecheng-1292	481	26	steady	steady	ADJ
fumecheng-1292	481	27	pattern	pattern	NOUN
fumecheng-1292	481	28	of	of	ADP
fumecheng-1292	481	29	two	two	NUM
fumecheng-1292	481	30	dimensional	dimensional	ADJ
fumecheng-1292	481	31	cells	cell	NOUN
fumecheng-1292	481	32	.	.	PUNCT
fumecheng-1292	482	1	the	the	DET
fumecheng-1292	482	2	two	two	NUM
fumecheng-1292	482	3	-	-	PUNCT
fumecheng-1292	482	4	dimensional	dimensional	ADJ
fumecheng-1292	482	5	convection	convection	NOUN
fumecheng-1292	482	6	cells	cell	NOUN
fumecheng-1292	482	7	and	and	CCONJ
fumecheng-1292	482	8	stability	stability	NOUN
fumecheng-1292	482	9	properties	property	NOUN
fumecheng-1292	482	10	are	be	AUX
fumecheng-1292	482	11	investigated	investigate	VERB
fumecheng-1292	482	12	in	in	ADP
fumecheng-1292	482	13	detail	detail	NOUN
fumecheng-1292	482	14	in	in	ADP
fumecheng-1292	482	15	[	[	X
fumecheng-1292	482	16	22	22	NUM
fumecheng-1292	482	17	]	]	PUNCT
fumecheng-1292	482	18	and	and	CCONJ
fumecheng-1292	482	19	[	[	X
fumecheng-1292	482	20	23	23	NUM
fumecheng-1292	482	21	]	]	PUNCT
fumecheng-1292	482	22	.	.	PUNCT
fumecheng-1292	483	1	for	for	ADP
fumecheng-1292	483	2	the	the	DET
fumecheng-1292	483	3	heated	heated	ADJ
fumecheng-1292	483	4	layer	layer	NOUN
fumecheng-1292	483	5	corresponding	correspond	VERB
fumecheng-1292	483	6	to	to	ADP
fumecheng-1292	483	7	ra	ra	PROPN
fumecheng-1292	483	8	>	>	X
fumecheng-1292	483	9	rac	rac	PROPN
fumecheng-1292	483	10	the	the	DET
fumecheng-1292	483	11	stable	stable	ADJ
fumecheng-1292	483	12	roll	roll	NOUN
fumecheng-1292	483	13	patterns	pattern	NOUN
fumecheng-1292	483	14	occur	occur	VERB
fumecheng-1292	483	15	only	only	ADV
fumecheng-1292	483	16	within	within	ADP
fumecheng-1292	483	17	a	a	DET
fumecheng-1292	483	18	band	band	NOUN
fumecheng-1292	483	19	of	of	ADP
fumecheng-1292	483	20	wave	wave	NOUN
fumecheng-1292	483	21	number	number	NOUN
fumecheng-1292	483	22	centered	center	VERB
fumecheng-1292	483	23	approximately	approximately	ADV
fumecheng-1292	483	24	about	about	ADP
fumecheng-1292	483	25	critical	critical	ADJ
fumecheng-1292	483	26	wave	wave	NOUN
fumecheng-1292	483	27	number	number	NOUN
fumecheng-1292	483	28	qc	qc	PROPN
fumecheng-1292	483	29	.	.	PROPN
fumecheng-1292	484	1	within	within	ADP
fumecheng-1292	484	2	the	the	DET
fumecheng-1292	484	3	stable	stable	ADJ
fumecheng-1292	484	4	band	band	NOUN
fumecheng-1292	484	5	,	,	PUNCT
fumecheng-1292	484	6	the	the	DET
fumecheng-1292	484	7	cells	cell	NOUN
fumecheng-1292	484	8	realized	realize	VERB
fumecheng-1292	484	9	do	do	AUX
fumecheng-1292	484	10	not	not	PART
fumecheng-1292	484	11	necessarily	necessarily	ADV
fumecheng-1292	484	12	have	have	VERB
fumecheng-1292	484	13	a	a	DET
fumecheng-1292	484	14	preferred	preferred	ADJ
fumecheng-1292	484	15	length	length	NOUN
fumecheng-1292	484	16	scale	scale	NOUN
fumecheng-1292	484	17	.	.	PUNCT
fumecheng-1292	485	1	indeed	indeed	ADV
fumecheng-1292	485	2	,	,	PUNCT
fumecheng-1292	485	3	their	their	PRON
fumecheng-1292	485	4	wavelengths	wavelength	NOUN
fumecheng-1292	485	5	appear	appear	VERB
fumecheng-1292	485	6	to	to	PART
fumecheng-1292	485	7	be	be	AUX
fumecheng-1292	485	8	dictated	dictate	VERB
fumecheng-1292	485	9	by	by	ADP
fumecheng-1292	485	10	the	the	DET
fumecheng-1292	485	11	initial	initial	ADJ
fumecheng-1292	485	12	conditions	condition	NOUN
fumecheng-1292	485	13	used	use	VERB
fumecheng-1292	485	14	to	to	PART
fumecheng-1292	485	15	select	select	VERB
fumecheng-1292	485	16	the	the	DET
fumecheng-1292	485	17	cells	cell	NOUN
fumecheng-1292	485	18	and	and	CCONJ
fumecheng-1292	485	19	by	by	ADP
fumecheng-1292	485	20	the	the	DET
fumecheng-1292	485	21	manner	manner	NOUN
fumecheng-1292	485	22	that	that	SCONJ
fumecheng-1292	485	23	the	the	DET
fumecheng-1292	485	24	basic	basic	ADJ
fumecheng-1292	485	25	state	state	NOUN
fumecheng-1292	485	26	temperature	temperature	NOUN
fumecheng-1292	485	27	is	be	AUX
fumecheng-1292	485	28	prescribed	prescribe	VERB
fumecheng-1292	485	29	spatially	spatially	ADV
fumecheng-1292	485	30	and	and	CCONJ
fumecheng-1292	485	31	temporally	temporally	ADV
fumecheng-1292	485	32	.	.	PUNCT
fumecheng-1292	486	1	the	the	DET
fumecheng-1292	486	2	band	band	NOUN
fumecheng-1292	486	3	is	be	AUX
fumecheng-1292	486	4	bounded	bound	VERB
fumecheng-1292	486	5	on	on	ADP
fumecheng-1292	486	6	both	both	DET
fumecheng-1292	486	7	sides	side	NOUN
fumecheng-1292	486	8	by	by	ADP
fumecheng-1292	486	9	instabilities	instability	NOUN
fumecheng-1292	486	10	that	that	PRON
fumecheng-1292	486	11	pertain	pertain	VERB
fumecheng-1292	486	12	to	to	ADP
fumecheng-1292	486	13	changing	change	VERB
fumecheng-1292	486	14	the	the	DET
fumecheng-1292	486	15	wavelength	wavelength	NOUN
fumecheng-1292	486	16	of	of	ADP
fumecheng-1292	486	17	the	the	DET
fumecheng-1292	486	18	cells	cell	NOUN
fumecheng-1292	486	19	but	but	CCONJ
fumecheng-1292	486	20	without	without	ADP
fumecheng-1292	486	21	changing	change	VERB
fumecheng-1292	486	22	the	the	DET
fumecheng-1292	486	23	form	form	NOUN
fumecheng-1292	486	24	.	.	PUNCT
fumecheng-1292	487	1	as	as	SCONJ
fumecheng-1292	487	2	the	the	DET
fumecheng-1292	487	3	induced	induced	ADJ
fumecheng-1292	487	4	cells	cell	NOUN
fumecheng-1292	487	5	acquire	acquire	VERB
fumecheng-1292	487	6	wave	wave	NOUN
fumecheng-1292	487	7	length	length	NOUN
fumecheng-1292	487	8	too	too	ADV
fumecheng-1292	487	9	large	large	ADJ
fumecheng-1292	487	10	or	or	CCONJ
fumecheng-1292	487	11	too	too	ADV
fumecheng-1292	487	12	small	small	ADJ
fumecheng-1292	487	13	,	,	PUNCT
fumecheng-1292	487	14	instability	instability	NOUN
fumecheng-1292	487	15	will	will	AUX
fumecheng-1292	487	16	occur	occur	VERB
fumecheng-1292	487	17	to	to	PART
fumecheng-1292	487	18	shift	shift	VERB
fumecheng-1292	487	19	their	their	PRON
fumecheng-1292	487	20	length	length	NOUN
fumecheng-1292	487	21	scale	scale	NOUN
fumecheng-1292	487	22	back	back	ADV
fumecheng-1292	487	23	to	to	ADP
fumecheng-1292	487	24	a	a	DET
fumecheng-1292	487	25	value	value	NOUN
fumecheng-1292	487	26	close	close	ADV
fumecheng-1292	487	27	to	to	ADP
fumecheng-1292	487	28	the	the	DET
fumecheng-1292	487	29	critical	critical	ADJ
fumecheng-1292	487	30	one	one	NUM
fumecheng-1292	487	31	.	.	PUNCT
fumecheng-1292	488	1	as	as	ADP
fumecheng-1292	488	2	the	the	DET
fumecheng-1292	488	3	value	value	NOUN
fumecheng-1292	488	4	of	of	ADP
fumecheng-1292	488	5	ra	ra	PROPN
fumecheng-1292	488	6	increases	increase	NOUN
fumecheng-1292	488	7	,	,	PUNCT
fumecheng-1292	488	8	the	the	DET
fumecheng-1292	488	9	cells	cell	NOUN
fumecheng-1292	488	10	at	at	ADP
fumecheng-1292	488	11	some	some	DET
fumecheng-1292	488	12	point	point	NOUN
fumecheng-1292	488	13	will	will	AUX
fumecheng-1292	488	14	become	become	VERB
fumecheng-1292	488	15	unstable	unstable	ADJ
fumecheng-1292	488	16	and	and	CCONJ
fumecheng-1292	488	17	the	the	DET
fumecheng-1292	488	18	convection	convection	NOUN
fumecheng-1292	488	19	structure	structure	NOUN
fumecheng-1292	488	20	will	will	AUX
fumecheng-1292	488	21	converge	converge	VERB
fumecheng-1292	488	22	to	to	ADP
fumecheng-1292	488	23	a	a	DET
fumecheng-1292	488	24	pattern	pattern	NOUN
fumecheng-1292	488	25	with	with	ADP
fumecheng-1292	488	26	a	a	DET
fumecheng-1292	488	27	more	more	ADV
fumecheng-1292	488	28	complex	complex	ADJ
fumecheng-1292	488	29	spatial	spatial	ADJ
fumecheng-1292	488	30	and	and	CCONJ
fumecheng-1292	488	31	temporal	temporal	ADJ
fumecheng-1292	488	32	structure	structure	NOUN
fumecheng-1292	488	33	.	.	PUNCT
fumecheng-1292	489	1	instability	instability	NOUN
fumecheng-1292	489	2	of	of	ADP
fumecheng-1292	489	3	rayleigh	rayleigh	NOUN
fumecheng-1292	489	4	-	-	PUNCT
fumecheng-1292	489	5	bénard	bénard	NOUN
fumecheng-1292	489	6	convection	convection	NOUN
fumecheng-1292	489	7	for	for	ADP
fumecheng-1292	489	8	inclined	inclined	ADJ
fumecheng-1292	489	9	lower	low	ADJ
fumecheng-1292	489	10	wall	wall	NOUN
fumecheng-1292	489	11	with	with	ADP
fumecheng-1292	489	12	temperature	temperature	NOUN
fumecheng-1292	489	13	variation	variation	NOUN
fumecheng-1292	489	14	191	191	NUM
fumecheng-1292	489	15	in	in	ADP
fumecheng-1292	489	16	this	this	DET
fumecheng-1292	489	17	section	section	NOUN
fumecheng-1292	489	18	we	we	PRON
fumecheng-1292	489	19	present	present	VERB
fumecheng-1292	489	20	the	the	DET
fumecheng-1292	489	21	results	result	NOUN
fumecheng-1292	489	22	of	of	ADP
fumecheng-1292	489	23	numerical	numerical	ADJ
fumecheng-1292	489	24	simulation	simulation	NOUN
fumecheng-1292	489	25	obtained	obtain	VERB
fumecheng-1292	489	26	by	by	ADP
fumecheng-1292	489	27	our	our	PRON
fumecheng-1292	489	28	2d	2d	NUM
fumecheng-1292	489	29	pseudo	pseudo	NOUN
fumecheng-1292	489	30	-	-	ADJ
fumecheng-1292	489	31	spectral	spectral	ADJ
fumecheng-1292	489	32	method	method	NOUN
fumecheng-1292	489	33	developed	develop	VERB
fumecheng-1292	489	34	in	in	ADP
fumecheng-1292	489	35	matlab	matlab	PROPN
fumecheng-1292	489	36	code	code	PROPN
fumecheng-1292	489	37	for	for	ADP
fumecheng-1292	489	38	the	the	DET
fumecheng-1292	489	39	navier	navier	NOUN
fumecheng-1292	489	40	-	-	PUNCT
fumecheng-1292	489	41	stokes	stoke	NOUN
fumecheng-1292	489	42	equation	equation	NOUN
fumecheng-1292	489	43	in	in	ADP
fumecheng-1292	489	44	stream	stream	NOUN
fumecheng-1292	489	45	function	function	NOUN
fumecheng-1292	489	46	-	-	PUNCT
fumecheng-1292	489	47	vorticity	vorticity	NOUN
fumecheng-1292	489	48	formulation	formulation	NOUN
fumecheng-1292	489	49	and	and	CCONJ
fumecheng-1292	489	50	energy	energy	NOUN
fumecheng-1292	489	51	equation	equation	NOUN
fumecheng-1292	489	52	,	,	PUNCT
fumecheng-1292	489	53	with	with	ADP
fumecheng-1292	489	54	the	the	DET
fumecheng-1292	489	55	initial	initial	ADJ
fumecheng-1292	489	56	and	and	CCONJ
fumecheng-1292	489	57	boundary	boundary	ADJ
fumecheng-1292	489	58	conditions	condition	NOUN
fumecheng-1292	489	59	described	describe	VERB
fumecheng-1292	489	60	above	above	ADP
fumecheng-1292	489	61	and	and	CCONJ
fumecheng-1292	489	62	the	the	DET
fumecheng-1292	489	63	walls	wall	NOUN
fumecheng-1292	489	64	inclined	incline	VERB
fumecheng-1292	489	65	for	for	ADP
fumecheng-1292	489	66	1	1	NUM
fumecheng-1292	489	67	angular	angular	ADJ
fumecheng-1292	489	68	degree	degree	NOUN
fumecheng-1292	489	69	.	.	PUNCT
fumecheng-1292	490	1	in	in	ADP
fumecheng-1292	490	2	fig	fig	NOUN
fumecheng-1292	490	3	.	.	PUNCT
fumecheng-1292	491	1	(	(	PUNCT
fumecheng-1292	491	2	2	2	X
fumecheng-1292	491	3	)	)	PUNCT
fumecheng-1292	491	4	we	we	PRON
fumecheng-1292	491	5	have	have	AUX
fumecheng-1292	491	6	shown	show	VERB
fumecheng-1292	491	7	the	the	DET
fumecheng-1292	491	8	vorticity	vorticity	NOUN
fumecheng-1292	491	9	distribution	distribution	NOUN
fumecheng-1292	491	10	for	for	ADP
fumecheng-1292	491	11	4	4	NUM
fumecheng-1292	491	12	instants	instant	NOUN
fumecheng-1292	491	13	of	of	ADP
fumecheng-1292	491	14	non	non	ADJ
fumecheng-1292	491	15	-	-	ADJ
fumecheng-1292	491	16	dimensional	dimensional	ADJ
fumecheng-1292	491	17	time	time	NOUN
fumecheng-1292	491	18	t	t	NOUN
fumecheng-1292	491	19	=	=	SYM
fumecheng-1292	491	20	/2	/2	PROPN
fumecheng-1292	491	21	,	,	PUNCT
fumecheng-1292	491	22			PROPN
fumecheng-1292	491	23	,	,	PUNCT
fumecheng-1292	491	24	3/2	3/2	NUM
fumecheng-1292	491	25	and	and	CCONJ
fumecheng-1292	491	26	2.	2.	NUM
fumecheng-1292	491	27	since	since	SCONJ
fumecheng-1292	491	28	we	we	PRON
fumecheng-1292	491	29	have	have	AUX
fumecheng-1292	491	30	chosen	choose	VERB
fumecheng-1292	491	31	qm	qm	PROPN
fumecheng-1292	491	32	=	=	PROPN
fumecheng-1292	491	33	3.7	3.7	NUM
fumecheng-1292	491	34	,	,	PUNCT
fumecheng-1292	491	35	such	such	ADJ
fumecheng-1292	491	36	number	number	NOUN
fumecheng-1292	491	37	of	of	ADP
fumecheng-1292	491	38	the	the	DET
fumecheng-1292	491	39	pair	pair	NOUN
fumecheng-1292	491	40	of	of	ADP
fumecheng-1292	491	41	cells	cell	NOUN
fumecheng-1292	491	42	can	can	AUX
fumecheng-1292	491	43	be	be	AUX
fumecheng-1292	491	44	seen	see	VERB
fumecheng-1292	491	45	at	at	ADP
fumecheng-1292	491	46	t	t	NOUN
fumecheng-1292	491	47	=	=	PUNCT
fumecheng-1292	491	48	/2	/2	PROPN
fumecheng-1292	491	49	at	at	ADP
fumecheng-1292	491	50	the	the	DET
fumecheng-1292	491	51	lower	low	ADJ
fumecheng-1292	491	52	wall	wall	NOUN
fumecheng-1292	491	53	.	.	PUNCT
fumecheng-1292	492	1	this	this	PRON
fumecheng-1292	492	2	is	be	AUX
fumecheng-1292	492	3	the	the	DET
fumecheng-1292	492	4	moment	moment	NOUN
fumecheng-1292	492	5	when	when	SCONJ
fumecheng-1292	492	6	temperature	temperature	NOUN
fumecheng-1292	492	7	on	on	ADP
fumecheng-1292	492	8	the	the	DET
fumecheng-1292	492	9	lower	low	ADJ
fumecheng-1292	492	10	plate	plate	NOUN
fumecheng-1292	492	11	reaches	reach	VERB
fumecheng-1292	492	12	its	its	PRON
fumecheng-1292	492	13	final	final	ADJ
fumecheng-1292	492	14	value	value	NOUN
fumecheng-1292	492	15	with	with	ADP
fumecheng-1292	492	16	its	its	PRON
fumecheng-1292	492	17	modulation	modulation	NOUN
fumecheng-1292	492	18	in	in	ADP
fumecheng-1292	492	19	x	x	NOUN
fumecheng-1292	492	20	-	-	NOUN
fumecheng-1292	492	21	direction	direction	NOUN
fumecheng-1292	492	22	.	.	PUNCT
fumecheng-1292	493	1	the	the	DET
fumecheng-1292	493	2	distribution	distribution	NOUN
fumecheng-1292	493	3	in	in	ADP
fumecheng-1292	493	4	vorticity	vorticity	NOUN
fumecheng-1292	493	5	is	be	AUX
fumecheng-1292	493	6	not	not	PART
fumecheng-1292	493	7	noticeably	noticeably	ADV
fumecheng-1292	493	8	perturbed	perturb	VERB
fumecheng-1292	493	9	.	.	PUNCT
fumecheng-1292	494	1	the	the	DET
fumecheng-1292	494	2	maximal	maximal	ADJ
fumecheng-1292	494	3	and	and	CCONJ
fumecheng-1292	494	4	minimal	minimal	ADJ
fumecheng-1292	494	5	values	value	NOUN
fumecheng-1292	494	6	of	of	ADP
fumecheng-1292	494	7	vorticity	vorticity	NOUN
fumecheng-1292	494	8	are	be	AUX
fumecheng-1292	494	9	between	between	ADP
fumecheng-1292	494	10	-11	-11	PUNCT
fumecheng-1292	494	11	and	and	CCONJ
fumecheng-1292	494	12	3	3	X
fumecheng-1292	494	13	.	.	X
fumecheng-1292	495	1	in	in	ADP
fumecheng-1292	495	2	the	the	DET
fumecheng-1292	495	3	next	next	ADJ
fumecheng-1292	495	4	instant	instant	NOUN
fumecheng-1292	495	5	of	of	ADP
fumecheng-1292	495	6	time	time	NOUN
fumecheng-1292	495	7	t	t	PROPN
fumecheng-1292	495	8	=	=	SYM
fumecheng-1292	495	9			PROPN
fumecheng-1292	495	10	we	we	PRON
fumecheng-1292	495	11	can	can	AUX
fumecheng-1292	495	12	see	see	VERB
fumecheng-1292	495	13	an	an	DET
fumecheng-1292	495	14	increase	increase	NOUN
fumecheng-1292	495	15	in	in	ADP
fumecheng-1292	495	16	the	the	DET
fumecheng-1292	495	17	vorticity	vorticity	NOUN
fumecheng-1292	495	18	intensity	intensity	NOUN
fumecheng-1292	495	19	,	,	PUNCT
fumecheng-1292	495	20	where	where	SCONJ
fumecheng-1292	495	21	it	it	PRON
fumecheng-1292	495	22	attains	attain	VERB
fumecheng-1292	495	23	the	the	DET
fumecheng-1292	495	24	values	value	NOUN
fumecheng-1292	495	25	in	in	ADP
fumecheng-1292	495	26	the	the	DET
fumecheng-1292	495	27	range	range	NOUN
fumecheng-1292	495	28	from	from	ADP
fumecheng-1292	495	29	-30	-30	PROPN
fumecheng-1292	495	30	to	to	ADP
fumecheng-1292	495	31	12	12	NUM
fumecheng-1292	495	32	,	,	PUNCT
fumecheng-1292	495	33	but	but	CCONJ
fumecheng-1292	495	34	the	the	DET
fumecheng-1292	495	35	distribution	distribution	NOUN
fumecheng-1292	495	36	is	be	AUX
fumecheng-1292	495	37	already	already	ADV
fumecheng-1292	495	38	obviously	obviously	ADV
fumecheng-1292	495	39	perturbed	perturb	VERB
fumecheng-1292	495	40	in	in	ADP
fumecheng-1292	495	41	the	the	DET
fumecheng-1292	495	42	direction	direction	NOUN
fumecheng-1292	495	43	of	of	ADP
fumecheng-1292	495	44	lifted	lift	VERB
fumecheng-1292	495	45	walls	wall	NOUN
fumecheng-1292	495	46	.	.	PUNCT
fumecheng-1292	496	1	in	in	ADP
fumecheng-1292	496	2	the	the	DET
fumecheng-1292	496	3	next	next	ADJ
fumecheng-1292	496	4	instant	instant	NOUN
fumecheng-1292	496	5	of	of	ADP
fumecheng-1292	496	6	time	time	NOUN
fumecheng-1292	496	7	t	t	NOUN
fumecheng-1292	496	8	=	=	SYM
fumecheng-1292	496	9	3/2	3/2	NUM
fumecheng-1292	496	10	we	we	PRON
fumecheng-1292	496	11	can	can	AUX
fumecheng-1292	496	12	see	see	VERB
fumecheng-1292	496	13	even	even	ADV
fumecheng-1292	496	14	more	more	ADJ
fumecheng-1292	496	15	vorticity	vorticity	NOUN
fumecheng-1292	496	16	distribution	distribution	NOUN
fumecheng-1292	496	17	deformation	deformation	NOUN
fumecheng-1292	496	18	,	,	PUNCT
fumecheng-1292	496	19	and	and	CCONJ
fumecheng-1292	496	20	the	the	DET
fumecheng-1292	496	21	jump	jump	NOUN
fumecheng-1292	496	22	in	in	ADP
fumecheng-1292	496	23	the	the	DET
fumecheng-1292	496	24	range	range	NOUN
fumecheng-1292	496	25	of	of	ADP
fumecheng-1292	496	26	the	the	DET
fumecheng-1292	496	27	values	value	NOUN
fumecheng-1292	496	28	from	from	ADP
fumecheng-1292	496	29	-52	-52	PROPN
fumecheng-1292	496	30	to	to	ADP
fumecheng-1292	496	31	33	33	NUM
fumecheng-1292	496	32	.	.	PUNCT
fumecheng-1292	497	1	at	at	ADP
fumecheng-1292	497	2	t	t	PROPN
fumecheng-1292	497	3	=	=	SYM
fumecheng-1292	497	4	2	2	PROPN
fumecheng-1292	497	5	,	,	PUNCT
fumecheng-1292	497	6	the	the	DET
fumecheng-1292	497	7	convective	convective	ADJ
fumecheng-1292	497	8	terms	term	NOUN
fumecheng-1292	497	9	in	in	ADP
fumecheng-1292	497	10	energy	energy	NOUN
fumecheng-1292	497	11	equation	equation	NOUN
fumecheng-1292	497	12	start	start	VERB
fumecheng-1292	497	13	to	to	PART
fumecheng-1292	497	14	transport	transport	VERB
fumecheng-1292	497	15	vorticity	vorticity	NOUN
fumecheng-1292	497	16	in	in	ADP
fumecheng-1292	497	17	upwards	upwards	ADJ
fumecheng-1292	497	18	left	left	ADJ
fumecheng-1292	497	19	direction	direction	NOUN
fumecheng-1292	497	20	and	and	CCONJ
fumecheng-1292	497	21	the	the	DET
fumecheng-1292	497	22	external	external	ADJ
fumecheng-1292	497	23	vorticity	vorticity	NOUN
fumecheng-1292	497	24	values	value	NOUN
fumecheng-1292	497	25	increase	increase	VERB
fumecheng-1292	497	26	further	far	ADV
fumecheng-1292	497	27	-75	-75	PUNCT
fumecheng-1292	497	28			NUM
fumecheng-1292	497	29	ω	ω	NUM
fumecheng-1292	497	30			NOUN
fumecheng-1292	497	31	85	85	NUM
fumecheng-1292	497	32	,	,	PUNCT
fumecheng-1292	497	33	although	although	SCONJ
fumecheng-1292	497	34	the	the	DET
fumecheng-1292	497	35	temperature	temperature	NOUN
fumecheng-1292	497	36	at	at	ADP
fumecheng-1292	497	37	the	the	DET
fumecheng-1292	497	38	lower	low	ADJ
fumecheng-1292	497	39	wall	wall	NOUN
fumecheng-1292	497	40	is	be	AUX
fumecheng-1292	497	41	temporarily	temporarily	ADV
fumecheng-1292	497	42	constant	constant	ADJ
fumecheng-1292	497	43	now	now	ADV
fumecheng-1292	497	44	,	,	PUNCT
fumecheng-1292	497	45	but	but	CCONJ
fumecheng-1292	497	46	with	with	ADP
fumecheng-1292	497	47	modulation	modulation	NOUN
fumecheng-1292	497	48	in	in	ADP
fumecheng-1292	497	49	x	x	NOUN
fumecheng-1292	497	50	-	-	NOUN
fumecheng-1292	497	51	direction	direction	NOUN
fumecheng-1292	497	52	.	.	PUNCT
fumecheng-1292	498	1	the	the	DET
fumecheng-1292	498	2	results	result	NOUN
fumecheng-1292	498	3	of	of	ADP
fumecheng-1292	498	4	numerical	numerical	ADJ
fumecheng-1292	498	5	simulation	simulation	NOUN
fumecheng-1292	498	6	for	for	ADP
fumecheng-1292	498	7	stream	stream	NOUN
fumecheng-1292	498	8	function	function	NOUN
fumecheng-1292	498	9	are	be	AUX
fumecheng-1292	498	10	given	give	VERB
fumecheng-1292	498	11	in	in	ADP
fumecheng-1292	498	12	fig	fig	NOUN
fumecheng-1292	498	13	.	.	PUNCT
fumecheng-1292	499	1	(	(	PUNCT
fumecheng-1292	499	2	3	3	NUM
fumecheng-1292	499	3	)	)	PUNCT
fumecheng-1292	499	4	.	.	PUNCT
fumecheng-1292	500	1	we	we	PRON
fumecheng-1292	500	2	can	can	AUX
fumecheng-1292	500	3	see	see	VERB
fumecheng-1292	500	4	that	that	SCONJ
fumecheng-1292	500	5	the	the	DET
fumecheng-1292	500	6	range	range	NOUN
fumecheng-1292	500	7	of	of	ADP
fumecheng-1292	500	8	values	value	NOUN
fumecheng-1292	500	9	is	be	AUX
fumecheng-1292	500	10	increased	increase	VERB
fumecheng-1292	500	11	not	not	PART
fumecheng-1292	500	12	only	only	ADV
fumecheng-1292	500	13	for	for	ADP
fumecheng-1292	500	14	time	time	NOUN
fumecheng-1292	500	15	period	period	NOUN
fumecheng-1292	500	16	when	when	SCONJ
fumecheng-1292	500	17	temperature	temperature	NOUN
fumecheng-1292	500	18	at	at	ADP
fumecheng-1292	500	19	the	the	DET
fumecheng-1292	500	20	lower	low	ADJ
fumecheng-1292	500	21	wall	wall	NOUN
fumecheng-1292	500	22	increases	increase	NOUN
fumecheng-1292	500	23	but	but	CCONJ
fumecheng-1292	500	24	also	also	ADV
fumecheng-1292	500	25	when	when	SCONJ
fumecheng-1292	500	26	the	the	DET
fumecheng-1292	500	27	temperature	temperature	NOUN
fumecheng-1292	500	28	attains	attain	VERB
fumecheng-1292	500	29	its	its	PRON
fumecheng-1292	500	30	constant	constant	ADJ
fumecheng-1292	500	31	value	value	NOUN
fumecheng-1292	500	32	.	.	PUNCT
fumecheng-1292	501	1	the	the	DET
fumecheng-1292	501	2	spatial	spatial	ADJ
fumecheng-1292	501	3	stream	stream	NOUN
fumecheng-1292	501	4	function	function	NOUN
fumecheng-1292	501	5	distribution	distribution	NOUN
fumecheng-1292	501	6	is	be	AUX
fumecheng-1292	501	7	slightly	slightly	ADV
fumecheng-1292	501	8	changed	change	VERB
fumecheng-1292	501	9	in	in	ADP
fumecheng-1292	501	10	time	time	NOUN
fumecheng-1292	501	11	period	period	NOUN
fumecheng-1292	501	12	0	0	NUM
fumecheng-1292	501	13			NOUN
fumecheng-1292	501	14	t	t	NOUN
fumecheng-1292	501	15			NOUN
fumecheng-1292	501	16	/2	/2	NOUN
fumecheng-1292	501	17	,	,	PUNCT
fumecheng-1292	501	18	but	but	CCONJ
fumecheng-1292	501	19	afterwards	afterwards	ADV
fumecheng-1292	501	20	/2	/2	PROPN
fumecheng-1292	501	21			PROPN
fumecheng-1292	501	22	t	t	NOUN
fumecheng-1292	501	23			NOUN
fumecheng-1292	501	24			ADP
fumecheng-1292	501	25	convective	convective	ADJ
fumecheng-1292	501	26	terms	term	NOUN
fumecheng-1292	501	27	attain	attain	VERB
fumecheng-1292	501	28	values	value	NOUN
fumecheng-1292	501	29	that	that	PRON
fumecheng-1292	501	30	significantly	significantly	ADV
fumecheng-1292	501	31	change	change	VERB
fumecheng-1292	501	32	the	the	DET
fumecheng-1292	501	33	stream	stream	NOUN
fumecheng-1292	501	34	function	function	NOUN
fumecheng-1292	501	35	’s	’s	PART
fumecheng-1292	501	36	intensity	intensity	NOUN
fumecheng-1292	501	37	and	and	CCONJ
fumecheng-1292	501	38	distribution	distribution	NOUN
fumecheng-1292	501	39	.	.	PUNCT
fumecheng-1292	502	1	the	the	DET
fumecheng-1292	502	2	distribution	distribution	NOUN
fumecheng-1292	502	3	pattern	pattern	NOUN
fumecheng-1292	502	4	is	be	AUX
fumecheng-1292	502	5	more	more	ADV
fumecheng-1292	502	6	perturbed	perturb	VERB
fumecheng-1292	502	7	with	with	ADP
fumecheng-1292	502	8	the	the	DET
fumecheng-1292	502	9	passage	passage	NOUN
fumecheng-1292	502	10	of	of	ADP
fumecheng-1292	502	11	time	time	NOUN
fumecheng-1292	502	12	.	.	PUNCT
fumecheng-1292	503	1	the	the	DET
fumecheng-1292	503	2	results	result	NOUN
fumecheng-1292	503	3	of	of	ADP
fumecheng-1292	503	4	numerical	numerical	ADJ
fumecheng-1292	503	5	simulation	simulation	NOUN
fumecheng-1292	503	6	for	for	ADP
fumecheng-1292	503	7	velocity	velocity	NOUN
fumecheng-1292	503	8	in	in	ADP
fumecheng-1292	503	9	x	x	NOUN
fumecheng-1292	503	10	-	-	NOUN
fumecheng-1292	503	11	direction	direction	NOUN
fumecheng-1292	503	12	are	be	AUX
fumecheng-1292	503	13	given	give	VERB
fumecheng-1292	503	14	in	in	ADP
fumecheng-1292	503	15	fig	fig	NOUN
fumecheng-1292	503	16	.	.	PUNCT
fumecheng-1292	504	1	(	(	PUNCT
fumecheng-1292	504	2	4	4	NUM
fumecheng-1292	504	3	)	)	PUNCT
fumecheng-1292	504	4	.	.	PUNCT
fumecheng-1292	505	1	the	the	DET
fumecheng-1292	505	2	u	u	NOUN
fumecheng-1292	505	3	-	-	NOUN
fumecheng-1292	505	4	velocity	velocity	NOUN
fumecheng-1292	505	5	keeps	keep	VERB
fumecheng-1292	505	6	its	its	PRON
fumecheng-1292	505	7	form	form	NOUN
fumecheng-1292	505	8	in	in	ADP
fumecheng-1292	505	9	time	time	NOUN
fumecheng-1292	505	10	period	period	NOUN
fumecheng-1292	505	11	0	0	NUM
fumecheng-1292	505	12			NOUN
fumecheng-1292	505	13	t	t	NOUN
fumecheng-1292	505	14			NOUN
fumecheng-1292	505	15	/2	/2	NOUN
fumecheng-1292	505	16	,	,	PUNCT
fumecheng-1292	505	17	but	but	CCONJ
fumecheng-1292	505	18	afterwards	afterwards	ADV
fumecheng-1292	505	19	/2	/2	PROPN
fumecheng-1292	505	20			PROPN
fumecheng-1292	505	21	t	t	NOUN
fumecheng-1292	505	22			NOUN
fumecheng-1292	505	23			ADJ
fumecheng-1292	505	24	buoyancy	buoyancy	NOUN
fumecheng-1292	505	25	effect	effect	NOUN
fumecheng-1292	505	26	becomes	become	VERB
fumecheng-1292	505	27	significant	significant	ADJ
fumecheng-1292	505	28	,	,	PUNCT
fumecheng-1292	505	29	and	and	CCONJ
fumecheng-1292	505	30	convective	convective	ADJ
fumecheng-1292	505	31	terms	term	NOUN
fumecheng-1292	505	32	attain	attain	VERB
fumecheng-1292	505	33	values	value	NOUN
fumecheng-1292	505	34	that	that	PRON
fumecheng-1292	505	35	significantly	significantly	ADV
fumecheng-1292	505	36	change	change	VERB
fumecheng-1292	505	37	the	the	DET
fumecheng-1292	505	38	intensity	intensity	NOUN
fumecheng-1292	505	39	and	and	CCONJ
fumecheng-1292	505	40	distribution	distribution	NOUN
fumecheng-1292	505	41	of	of	ADP
fumecheng-1292	505	42	u	u	NOUN
fumecheng-1292	505	43	-	-	NOUN
fumecheng-1292	505	44	velocity	velocity	NOUN
fumecheng-1292	505	45	.	.	PUNCT
fumecheng-1292	506	1	in	in	ADP
fumecheng-1292	506	2	time	time	NOUN
fumecheng-1292	506	3	period	period	NOUN
fumecheng-1292	506	4	/2	/2	PROPN
fumecheng-1292	506	5			PROPN
fumecheng-1292	506	6	t	t	VERB
fumecheng-1292	506	7			NOUN
fumecheng-1292	506	8			ADJ
fumecheng-1292	506	9	distribution	distribution	NOUN
fumecheng-1292	506	10	pattern	pattern	NOUN
fumecheng-1292	506	11	has	have	AUX
fumecheng-1292	506	12	been	be	AUX
fumecheng-1292	506	13	changing	change	VERB
fumecheng-1292	506	14	and	and	CCONJ
fumecheng-1292	506	15	becomes	become	VERB
fumecheng-1292	506	16	partly	partly	ADV
fumecheng-1292	506	17	disordered	disorder	VERB
fumecheng-1292	506	18	.	.	PUNCT
fumecheng-1292	507	1	the	the	DET
fumecheng-1292	507	2	range	range	NOUN
fumecheng-1292	507	3	of	of	ADP
fumecheng-1292	507	4	values	value	NOUN
fumecheng-1292	507	5	is	be	AUX
fumecheng-1292	507	6	increasing	increase	VERB
fumecheng-1292	507	7	between	between	ADP
fumecheng-1292	507	8	-12	-12	NOUN
fumecheng-1292	507	9	and	and	CCONJ
fumecheng-1292	507	10	14	14	NUM
fumecheng-1292	507	11	.	.	PUNCT
fumecheng-1292	508	1	the	the	DET
fumecheng-1292	508	2	fluid	fluid	NOUN
fumecheng-1292	508	3	heating	heating	NOUN
fumecheng-1292	508	4	through	through	ADP
fumecheng-1292	508	5	the	the	DET
fumecheng-1292	508	6	lower	low	ADJ
fumecheng-1292	508	7	wall	wall	NOUN
fumecheng-1292	508	8	and	and	CCONJ
fumecheng-1292	508	9	fluid	fluid	ADJ
fumecheng-1292	508	10	cooling	cooling	NOUN
fumecheng-1292	508	11	through	through	ADP
fumecheng-1292	508	12	the	the	DET
fumecheng-1292	508	13	upper	upper	ADJ
fumecheng-1292	508	14	wall	wall	NOUN
fumecheng-1292	508	15	are	be	AUX
fumecheng-1292	508	16	not	not	PART
fumecheng-1292	508	17	in	in	ADP
fumecheng-1292	508	18	balance	balance	NOUN
fumecheng-1292	508	19	so	so	SCONJ
fumecheng-1292	508	20	that	that	SCONJ
fumecheng-1292	508	21	the	the	DET
fumecheng-1292	508	22	increase	increase	NOUN
fumecheng-1292	508	23	in	in	ADP
fumecheng-1292	508	24	kinetic	kinetic	ADJ
fumecheng-1292	508	25	and	and	CCONJ
fumecheng-1292	508	26	thermal	thermal	ADJ
fumecheng-1292	508	27	energy	energy	NOUN
fumecheng-1292	508	28	in	in	ADP
fumecheng-1292	508	29	the	the	DET
fumecheng-1292	508	30	fluid	fluid	ADJ
fumecheng-1292	508	31	flow	flow	NOUN
fumecheng-1292	508	32	is	be	AUX
fumecheng-1292	508	33	remarkable	remarkable	ADJ
fumecheng-1292	508	34	.	.	PUNCT
fumecheng-1292	509	1	the	the	DET
fumecheng-1292	509	2	range	range	NOUN
fumecheng-1292	509	3	of	of	ADP
fumecheng-1292	509	4	values	value	NOUN
fumecheng-1292	509	5	in	in	ADP
fumecheng-1292	509	6	t	t	PROPN
fumecheng-1292	509	7	=	=	SYM
fumecheng-1292	509	8	3/2	3/2	NUM
fumecheng-1292	509	9	is	be	AUX
fumecheng-1292	509	10	-22	-22	NUM
fumecheng-1292	509	11			NUM
fumecheng-1292	509	12	u	u	NOUN
fumecheng-1292	509	13	25	25	NOUN
fumecheng-1292	509	14	,	,	PUNCT
fumecheng-1292	509	15	and	and	CCONJ
fumecheng-1292	509	16	in	in	ADP
fumecheng-1292	509	17	t	t	PROPN
fumecheng-1292	509	18	=	=	SYM
fumecheng-1292	509	19	2	2	PROPN
fumecheng-1292	509	20	is-47	is-47	PART
fumecheng-1292	509	21			NUM
fumecheng-1292	509	22	u	u	NOUN
fumecheng-1292	509	23			NOUN
fumecheng-1292	509	24	31	31	NUM
fumecheng-1292	509	25	,	,	PUNCT
fumecheng-1292	509	26	and	and	CCONJ
fumecheng-1292	509	27	the	the	DET
fumecheng-1292	509	28	position	position	NOUN
fumecheng-1292	509	29	of	of	ADP
fumecheng-1292	509	30	the	the	DET
fumecheng-1292	509	31	extremely	extremely	ADJ
fumecheng-1292	509	32	values	value	NOUN
fumecheng-1292	509	33	is	be	AUX
fumecheng-1292	509	34	pushed	push	VERB
fumecheng-1292	509	35	from	from	ADP
fumecheng-1292	509	36	the	the	DET
fumecheng-1292	509	37	lower	low	ADJ
fumecheng-1292	509	38	wall	wall	NOUN
fumecheng-1292	509	39	toward	toward	ADP
fumecheng-1292	509	40	the	the	DET
fumecheng-1292	509	41	middle	middle	NOUN
fumecheng-1292	509	42	of	of	ADP
fumecheng-1292	509	43	the	the	DET
fumecheng-1292	509	44	channel	channel	NOUN
fumecheng-1292	509	45	and	and	CCONJ
fumecheng-1292	509	46	to	to	ADP
fumecheng-1292	509	47	the	the	DET
fumecheng-1292	509	48	direction	direction	NOUN
fumecheng-1292	509	49	of	of	ADP
fumecheng-1292	509	50	the	the	DET
fumecheng-1292	509	51	lifted	lift	VERB
fumecheng-1292	509	52	wall	wall	NOUN
fumecheng-1292	509	53	.	.	PUNCT
fumecheng-1292	510	1	the	the	DET
fumecheng-1292	510	2	lower	low	ADJ
fumecheng-1292	510	3	wall	wall	NOUN
fumecheng-1292	510	4	with	with	ADP
fumecheng-1292	510	5	its	its	PRON
fumecheng-1292	510	6	temperature	temperature	NOUN
fumecheng-1292	510	7	modulation	modulation	NOUN
fumecheng-1292	510	8	is	be	AUX
fumecheng-1292	510	9	the	the	DET
fumecheng-1292	510	10	source	source	NOUN
fumecheng-1292	510	11	of	of	ADP
fumecheng-1292	510	12	momentum	momentum	NOUN
fumecheng-1292	510	13	in	in	ADP
fumecheng-1292	510	14	the	the	DET
fumecheng-1292	510	15	initial	initial	ADJ
fumecheng-1292	510	16	stages	stage	NOUN
fumecheng-1292	510	17	and	and	CCONJ
fumecheng-1292	510	18	later	later	ADV
fumecheng-1292	510	19	the	the	DET
fumecheng-1292	510	20	external	external	ADJ
fumecheng-1292	510	21	values	value	NOUN
fumecheng-1292	510	22	are	be	AUX
fumecheng-1292	510	23	shifted	shift	VERB
fumecheng-1292	510	24	to	to	ADP
fumecheng-1292	510	25	the	the	DET
fumecheng-1292	510	26	middle	middle	NOUN
fumecheng-1292	510	27	of	of	ADP
fumecheng-1292	510	28	the	the	DET
fumecheng-1292	510	29	channel	channel	NOUN
fumecheng-1292	510	30	.	.	PUNCT
fumecheng-1292	511	1	the	the	DET
fumecheng-1292	511	2	values	value	NOUN
fumecheng-1292	511	3	near	near	ADP
fumecheng-1292	511	4	the	the	DET
fumecheng-1292	511	5	lower	low	ADJ
fumecheng-1292	511	6	wall	wall	NOUN
fumecheng-1292	511	7	are	be	AUX
fumecheng-1292	511	8	constantly	constantly	ADV
fumecheng-1292	511	9	increased	increase	VERB
fumecheng-1292	511	10	.	.	PUNCT
fumecheng-1292	512	1	the	the	DET
fumecheng-1292	512	2	lower	low	ADJ
fumecheng-1292	512	3	wall	wall	NOUN
fumecheng-1292	512	4	serves	serve	VERB
fumecheng-1292	512	5	as	as	ADP
fumecheng-1292	512	6	a	a	DET
fumecheng-1292	512	7	source	source	NOUN
fumecheng-1292	512	8	of	of	ADP
fumecheng-1292	512	9	momentum	momentum	NOUN
fumecheng-1292	512	10	in	in	ADP
fumecheng-1292	512	11	x	x	NOUN
fumecheng-1292	512	12	-	-	NOUN
fumecheng-1292	512	13	direction	direction	NOUN
fumecheng-1292	512	14	and	and	CCONJ
fumecheng-1292	512	15	feeds	feed	VERB
fumecheng-1292	512	16	the	the	DET
fumecheng-1292	512	17	momentum	momentum	NOUN
fumecheng-1292	512	18	in	in	ADP
fumecheng-1292	512	19	the	the	DET
fumecheng-1292	512	20	middle	middle	NOUN
fumecheng-1292	512	21	of	of	ADP
fumecheng-1292	512	22	channel	channel	NOUN
fumecheng-1292	512	23	.	.	PUNCT
fumecheng-1292	513	1	in	in	ADP
fumecheng-1292	513	2	fig	fig	NOUN
fumecheng-1292	513	3	.	.	PUNCT
fumecheng-1292	514	1	(	(	PUNCT
fumecheng-1292	514	2	5	5	X
fumecheng-1292	514	3	)	)	PUNCT
fumecheng-1292	514	4	we	we	PRON
fumecheng-1292	514	5	have	have	AUX
fumecheng-1292	514	6	shown	show	VERB
fumecheng-1292	514	7	the	the	DET
fumecheng-1292	514	8	v	v	NOUN
fumecheng-1292	514	9	-	-	PUNCT
fumecheng-1292	514	10	velocity	velocity	NOUN
fumecheng-1292	514	11	evolution	evolution	NOUN
fumecheng-1292	514	12	in	in	ADP
fumecheng-1292	514	13	period	period	NOUN
fumecheng-1292	514	14	of	of	ADP
fumecheng-1292	514	15	time	time	NOUN
fumecheng-1292	514	16	0	0	NUM
fumecheng-1292	514	17			NOUN
fumecheng-1292	514	18	t	t	NOUN
fumecheng-1292	514	19			NUM
fumecheng-1292	514	20	2.	2.	NOUN
fumecheng-1292	514	21	we	we	PRON
fumecheng-1292	514	22	can	can	AUX
fumecheng-1292	514	23	see	see	VERB
fumecheng-1292	514	24	that	that	SCONJ
fumecheng-1292	514	25	the	the	DET
fumecheng-1292	514	26	values	value	NOUN
fumecheng-1292	514	27	of	of	ADP
fumecheng-1292	514	28	v	v	NOUN
fumecheng-1292	514	29	-	-	PUNCT
fumecheng-1292	514	30	velocity	velocity	NOUN
fumecheng-1292	514	31	constantly	constantly	ADV
fumecheng-1292	514	32	increase	increase	VERB
fumecheng-1292	514	33	and	and	CCONJ
fumecheng-1292	514	34	that	that	SCONJ
fumecheng-1292	514	35	the	the	DET
fumecheng-1292	514	36	upflow	upflow	NOUN
fumecheng-1292	514	37	and	and	CCONJ
fumecheng-1292	514	38	downflow	downflow	ADJ
fumecheng-1292	514	39	for	for	ADP
fumecheng-1292	514	40	t	t	PROPN
fumecheng-1292	514	41			NUM
fumecheng-1292	514	42	/2	/2	PROPN
fumecheng-1292	514	43	at	at	ADP
fumecheng-1292	514	44	the	the	DET
fumecheng-1292	514	45	center	center	NOUN
fumecheng-1292	514	46	of	of	ADP
fumecheng-1292	514	47	the	the	DET
fumecheng-1292	514	48	channel	channel	NOUN
fumecheng-1292	514	49	are	be	AUX
fumecheng-1292	514	50	disturbed	disturb	VERB
fumecheng-1292	514	51	.	.	PUNCT
fumecheng-1292	515	1	in	in	ADP
fumecheng-1292	515	2	this	this	DET
fumecheng-1292	515	3	case	case	NOUN
fumecheng-1292	515	4	both	both	CCONJ
fumecheng-1292	515	5	buoyancy	buoyancy	NOUN
fumecheng-1292	515	6	and	and	CCONJ
fumecheng-1292	515	7	shear	shear	NOUN
fumecheng-1292	515	8	have	have	VERB
fumecheng-1292	515	9	a	a	DET
fumecheng-1292	515	10	destabilizing	destabilizing	ADJ
fumecheng-1292	515	11	effect	effect	NOUN
fumecheng-1292	515	12	on	on	ADP
fumecheng-1292	515	13	the	the	DET
fumecheng-1292	515	14	flow	flow	NOUN
fumecheng-1292	515	15	pattern	pattern	NOUN
fumecheng-1292	515	16	and	and	CCONJ
fumecheng-1292	515	17	traveling	travel	VERB
fumecheng-1292	515	18	cells	cell	NOUN
fumecheng-1292	515	19	are	be	AUX
fumecheng-1292	515	20	possible	possible	ADJ
fumecheng-1292	515	21	flow	flow	NOUN
fumecheng-1292	515	22	structures	structure	NOUN
fumecheng-1292	515	23	at	at	ADP
fumecheng-1292	515	24	t	t	PROPN
fumecheng-1292	515	25			NUM
fumecheng-1292	515	26	/2	/2	PROPN
fumecheng-1292	515	27	.	.	PUNCT
fumecheng-1292	516	1	192	192	NUM
fumecheng-1292	516	2	s.	s.	PROPN
fumecheng-1292	516	3	ayed	aye	VERB
fumecheng-1292	516	4	,	,	PUNCT
fumecheng-1292	516	5	g.	g.	PROPN
fumecheng-1292	516	6	ilić	ilić	PROPN
fumecheng-1292	516	7	,	,	PUNCT
fumecheng-1292	516	8	p.	p.	PROPN
fumecheng-1292	516	9	živković	živković	PROPN
fumecheng-1292	516	10	,	,	PUNCT
fumecheng-1292	516	11	m.	m.	NOUN
fumecheng-1292	516	12	vukić	vukić	PROPN
fumecheng-1292	516	13	,	,	PUNCT
fumecheng-1292	516	14	m.	m.	NOUN
fumecheng-1292	516	15	tomić	tomić	NOUN
fumecheng-1292	516	16	fig	fig	NOUN
fumecheng-1292	516	17	.	.	PUNCT
fumecheng-1292	517	1	2	2	NUM
fumecheng-1292	517	2	non	non	ADJ
fumecheng-1292	517	3	-	-	ADJ
fumecheng-1292	517	4	dimensional	dimensional	ADJ
fumecheng-1292	517	5	vorticity	vorticity	NOUN
fumecheng-1292	517	6	evolution	evolution	NOUN
fumecheng-1292	517	7	in	in	ADP
fumecheng-1292	517	8	the	the	DET
fumecheng-1292	517	9	forced	force	VERB
fumecheng-1292	517	10	rayleigh	rayleigh	PROPN
fumecheng-1292	517	11	-	-	PUNCT
fumecheng-1292	517	12	bénard	bénard	NOUN
fumecheng-1292	517	13	convection	convection	NOUN
fumecheng-1292	517	14	instability	instability	NOUN
fumecheng-1292	517	15	of	of	ADP
fumecheng-1292	517	16	rayleigh	rayleigh	NOUN
fumecheng-1292	517	17	-	-	PUNCT
fumecheng-1292	517	18	bénard	bénard	NOUN
fumecheng-1292	517	19	convection	convection	NOUN
fumecheng-1292	517	20	for	for	ADP
fumecheng-1292	517	21	inclined	inclined	ADJ
fumecheng-1292	517	22	lower	low	ADJ
fumecheng-1292	517	23	wall	wall	NOUN
fumecheng-1292	517	24	with	with	ADP
fumecheng-1292	517	25	temperature	temperature	NOUN
fumecheng-1292	517	26	variation	variation	NOUN
fumecheng-1292	517	27	193	193	NUM
fumecheng-1292	517	28	fig	fig	NOUN
fumecheng-1292	517	29	.	.	PUNCT
fumecheng-1292	518	1	3	3	NUM
fumecheng-1292	518	2	non	non	ADJ
fumecheng-1292	518	3	-	-	ADJ
fumecheng-1292	518	4	dimensional	dimensional	ADJ
fumecheng-1292	518	5	stream	stream	NOUN
fumecheng-1292	518	6	function	function	NOUN
fumecheng-1292	518	7	evolution	evolution	NOUN
fumecheng-1292	518	8	in	in	ADP
fumecheng-1292	518	9	the	the	DET
fumecheng-1292	518	10	forced	force	VERB
fumecheng-1292	518	11	rayleigh	rayleigh	PROPN
fumecheng-1292	518	12	-	-	PUNCT
fumecheng-1292	518	13	bénard	bénard	PROPN
fumecheng-1292	518	14	convection	convection	NOUN
fumecheng-1292	518	15	194	194	NUM
fumecheng-1292	518	16	s.	s.	PROPN
fumecheng-1292	518	17	ayed	aye	VERB
fumecheng-1292	518	18	,	,	PUNCT
fumecheng-1292	518	19	g.	g.	PROPN
fumecheng-1292	518	20	ilić	ilić	PROPN
fumecheng-1292	518	21	,	,	PUNCT
fumecheng-1292	518	22	p.	p.	PROPN
fumecheng-1292	518	23	živković	živković	PROPN
fumecheng-1292	518	24	,	,	PUNCT
fumecheng-1292	518	25	m.	m.	NOUN
fumecheng-1292	518	26	vukić	vukić	PROPN
fumecheng-1292	518	27	,	,	PUNCT
fumecheng-1292	518	28	m.	m.	NOUN
fumecheng-1292	518	29	tomić	tomić	NOUN
fumecheng-1292	518	30	fig	fig	NOUN
fumecheng-1292	518	31	.	.	PUNCT
fumecheng-1292	519	1	4	4	NUM
fumecheng-1292	519	2	non	non	ADJ
fumecheng-1292	519	3	-	-	ADJ
fumecheng-1292	519	4	dimensional	dimensional	ADJ
fumecheng-1292	519	5	u	u	NOUN
fumecheng-1292	519	6	-	-	NOUN
fumecheng-1292	519	7	velocity	velocity	ADJ
fumecheng-1292	519	8	evolution	evolution	NOUN
fumecheng-1292	519	9	in	in	ADP
fumecheng-1292	519	10	the	the	DET
fumecheng-1292	519	11	forced	force	VERB
fumecheng-1292	519	12	rayleigh	rayleigh	PROPN
fumecheng-1292	519	13	-	-	PUNCT
fumecheng-1292	519	14	bénard	bénard	NOUN
fumecheng-1292	519	15	convection	convection	NOUN
fumecheng-1292	519	16	instability	instability	NOUN
fumecheng-1292	519	17	of	of	ADP
fumecheng-1292	519	18	rayleigh	rayleigh	NOUN
fumecheng-1292	519	19	-	-	PUNCT
fumecheng-1292	519	20	bénard	bénard	NOUN
fumecheng-1292	519	21	convection	convection	NOUN
fumecheng-1292	519	22	for	for	ADP
fumecheng-1292	519	23	inclined	inclined	ADJ
fumecheng-1292	519	24	lower	low	ADJ
fumecheng-1292	519	25	wall	wall	NOUN
fumecheng-1292	519	26	with	with	ADP
fumecheng-1292	519	27	temperature	temperature	NOUN
fumecheng-1292	519	28	variation	variation	NOUN
fumecheng-1292	519	29	195	195	NUM
fumecheng-1292	519	30	fig	fig	NOUN
fumecheng-1292	519	31	.	.	PUNCT
fumecheng-1292	520	1	5	5	NUM
fumecheng-1292	520	2	non	non	ADJ
fumecheng-1292	520	3	-	-	ADJ
fumecheng-1292	520	4	dimensional	dimensional	ADJ
fumecheng-1292	520	5	v	v	NOUN
fumecheng-1292	520	6	-	-	PUNCT
fumecheng-1292	520	7	velocity	velocity	NOUN
fumecheng-1292	520	8	evolution	evolution	NOUN
fumecheng-1292	520	9	in	in	ADP
fumecheng-1292	520	10	the	the	DET
fumecheng-1292	520	11	forced	force	VERB
fumecheng-1292	520	12	rayleigh	rayleigh	PROPN
fumecheng-1292	520	13	-	-	PUNCT
fumecheng-1292	520	14	bénard	bénard	PROPN
fumecheng-1292	520	15	convection	convection	NOUN
fumecheng-1292	520	16	196	196	NUM
fumecheng-1292	520	17	s.	s.	PROPN
fumecheng-1292	520	18	ayed	aye	VERB
fumecheng-1292	520	19	,	,	PUNCT
fumecheng-1292	520	20	g.	g.	PROPN
fumecheng-1292	520	21	ilić	ilić	PROPN
fumecheng-1292	520	22	,	,	PUNCT
fumecheng-1292	520	23	p.	p.	PROPN
fumecheng-1292	520	24	živković	živković	PROPN
fumecheng-1292	520	25	,	,	PUNCT
fumecheng-1292	520	26	m.	m.	NOUN
fumecheng-1292	520	27	vukić	vukić	PROPN
fumecheng-1292	520	28	,	,	PUNCT
fumecheng-1292	520	29	m.	m.	NOUN
fumecheng-1292	520	30	tomić	tomić	NOUN
fumecheng-1292	520	31	we	we	PRON
fumecheng-1292	520	32	can	can	AUX
fumecheng-1292	520	33	see	see	VERB
fumecheng-1292	520	34	that	that	SCONJ
fumecheng-1292	520	35	the	the	DET
fumecheng-1292	520	36	convection	convection	NOUN
fumecheng-1292	520	37	is	be	AUX
fumecheng-1292	520	38	unavoidable	unavoidable	ADJ
fumecheng-1292	520	39	for	for	ADP
fumecheng-1292	520	40	rayleigh	rayleigh	PROPN
fumecheng-1292	520	41	number	number	NOUN
fumecheng-1292	520	42	ra	ra	PROPN
fumecheng-1292	520	43	=	=	NOUN
fumecheng-1292	520	44	1000	1000	NUM
fumecheng-1292	520	45	,	,	PUNCT
fumecheng-1292	520	46	for	for	ADP
fumecheng-1292	520	47	δ	δ	PROPN
fumecheng-1292	520	48	=	=	NOUN
fumecheng-1292	520	49	0.01	0.01	NUM
fumecheng-1292	520	50	(	(	PUNCT
fumecheng-1292	520	51	forced	force	VERB
fumecheng-1292	520	52	rbc	rbc	PROPN
fumecheng-1292	520	53	flow	flow	NOUN
fumecheng-1292	520	54	)	)	PUNCT
fumecheng-1292	520	55	for	for	ADP
fumecheng-1292	520	56	each	each	DET
fumecheng-1292	520	57	instant	instant	NOUN
fumecheng-1292	520	58	of	of	ADP
fumecheng-1292	520	59	time	time	NOUN
fumecheng-1292	520	60	in	in	ADP
fumecheng-1292	520	61	the	the	DET
fumecheng-1292	520	62	form	form	NOUN
fumecheng-1292	520	63	of	of	ADP
fumecheng-1292	520	64	forced	force	VERB
fumecheng-1292	520	65	cells	cell	NOUN
fumecheng-1292	520	66	with	with	ADP
fumecheng-1292	520	67	wave	wave	NOUN
fumecheng-1292	520	68	number	number	NOUN
fumecheng-1292	520	69	qm	qm	PROPN
fumecheng-1292	520	70	=	=	NOUN
fumecheng-1292	520	71	3.7	3.7	NUM
fumecheng-1292	520	72	as	as	SCONJ
fumecheng-1292	520	73	can	can	AUX
fumecheng-1292	520	74	be	be	AUX
fumecheng-1292	520	75	seen	see	VERB
fumecheng-1292	520	76	in	in	ADP
fumecheng-1292	520	77	fig	fig	NOUN
fumecheng-1292	520	78	.	.	PUNCT
fumecheng-1292	521	1	5	5	X
fumecheng-1292	521	2	.	.	X
fumecheng-1292	522	1	these	these	DET
fumecheng-1292	522	2	forced	force	VERB
fumecheng-1292	522	3	cells	cell	NOUN
fumecheng-1292	522	4	develop	develop	VERB
fumecheng-1292	522	5	instability	instability	NOUN
fumecheng-1292	522	6	against	against	ADP
fumecheng-1292	522	7	resonant	resonant	NOUN
fumecheng-1292	522	8	modes	mode	NOUN
fumecheng-1292	522	9	for	for	ADP
fumecheng-1292	522	10	ra	ra	PROPN
fumecheng-1292	522	11	>	>	X
fumecheng-1292	522	12	rac=1708	rac=1708	X
fumecheng-1292	522	13	in	in	ADP
fumecheng-1292	522	14	wide	wide	ADJ
fumecheng-1292	522	15	range	range	NOUN
fumecheng-1292	522	16	of	of	ADP
fumecheng-1292	522	17	qm	qm	PROPN
fumecheng-1292	522	18	/	/	SYM
fumecheng-1292	522	19	qc	qc	PROPN
fumecheng-1292	522	20	;	;	PUNCT
fumecheng-1292	522	21	in	in	ADP
fumecheng-1292	522	22	our	our	PRON
fumecheng-1292	522	23	case	case	NOUN
fumecheng-1292	522	24	it	it	PRON
fumecheng-1292	522	25	is	be	AUX
fumecheng-1292	522	26	qm	qm	PROPN
fumecheng-1292	522	27	/	/	SYM
fumecheng-1292	522	28	qc	qc	PROPN
fumecheng-1292	522	29	=	=	PROPN
fumecheng-1292	522	30	3.7/3.12	3.7/3.12	PROPN
fumecheng-1292	522	31	.	.	PUNCT
fumecheng-1292	523	1	only	only	ADV
fumecheng-1292	523	2	for	for	ADP
fumecheng-1292	523	3	qm	qm	PROPN
fumecheng-1292	523	4	in	in	ADP
fumecheng-1292	523	5	vicinity	vicinity	NOUN
fumecheng-1292	523	6	of	of	ADP
fumecheng-1292	523	7	qc	qc	PROPN
fumecheng-1292	523	8	the	the	DET
fumecheng-1292	523	9	forced	force	VERB
fumecheng-1292	523	10	cells	cell	NOUN
fumecheng-1292	523	11	remain	remain	VERB
fumecheng-1292	523	12	stable	stable	ADJ
fumecheng-1292	523	13	up	up	ADP
fumecheng-1292	523	14	to	to	ADP
fumecheng-1292	523	15	fairly	fairly	ADV
fumecheng-1292	523	16	large	large	ADJ
fumecheng-1292	523	17	ra	ra	PROPN
fumecheng-1292	523	18	>	>	NOUN
fumecheng-1292	523	19	rac	rac	PROPN
fumecheng-1292	523	20	.	.	PUNCT
fumecheng-1292	524	1	in	in	ADP
fumecheng-1292	524	2	the	the	DET
fumecheng-1292	524	3	case	case	NOUN
fumecheng-1292	524	4	of	of	ADP
fumecheng-1292	524	5	inclined	inclined	ADJ
fumecheng-1292	524	6	walls	wall	NOUN
fumecheng-1292	524	7	this	this	DET
fumecheng-1292	524	8	cell	cell	NOUN
fumecheng-1292	524	9	has	have	AUX
fumecheng-1292	524	10	lost	lose	VERB
fumecheng-1292	524	11	its	its	PRON
fumecheng-1292	524	12	stability	stability	NOUN
fumecheng-1292	524	13	at	at	ADP
fumecheng-1292	524	14	t	t	PROPN
fumecheng-1292	524	15			NUM
fumecheng-1292	524	16	/2	/2	NOUN
fumecheng-1292	524	17	,	,	PUNCT
fumecheng-1292	524	18	in	in	ADP
fumecheng-1292	524	19	spite	spite	NOUN
fumecheng-1292	524	20	of	of	ADP
fumecheng-1292	524	21	the	the	DET
fumecheng-1292	524	22	fact	fact	NOUN
fumecheng-1292	524	23	that	that	SCONJ
fumecheng-1292	524	24	our	our	PRON
fumecheng-1292	524	25	qm	qm	PROPN
fumecheng-1292	524	26	=	=	PROPN
fumecheng-1292	524	27	3.7	3.7	NUM
fumecheng-1292	524	28	is	be	AUX
fumecheng-1292	524	29	in	in	ADP
fumecheng-1292	524	30	the	the	DET
fumecheng-1292	524	31	vicinity	vicinity	NOUN
fumecheng-1292	524	32	of	of	ADP
fumecheng-1292	524	33	the	the	DET
fumecheng-1292	524	34	critical	critical	ADJ
fumecheng-1292	524	35	wave	wave	NOUN
fumecheng-1292	524	36	number	number	NOUN
fumecheng-1292	524	37	,	,	PUNCT
fumecheng-1292	524	38	and	and	CCONJ
fumecheng-1292	524	39	rayleigh	rayleigh	PROPN
fumecheng-1292	524	40	number	number	NOUN
fumecheng-1292	524	41	ra	ra	PROPN
fumecheng-1292	525	1	=	=	NOUN
fumecheng-1292	525	2	1000	1000	NUM
fumecheng-1292	525	3	is	be	AUX
fumecheng-1292	525	4	significantly	significantly	ADV
fumecheng-1292	525	5	below	below	ADP
fumecheng-1292	525	6	critical	critical	ADJ
fumecheng-1292	525	7	value	value	NOUN
fumecheng-1292	525	8	rac	rac	NOUN
fumecheng-1292	525	9	=	=	SYM
fumecheng-1292	525	10	1708	1708	NUM
fumecheng-1292	525	11	.	.	PUNCT
fumecheng-1292	526	1	in	in	ADP
fumecheng-1292	526	2	our	our	PRON
fumecheng-1292	526	3	simulation	simulation	NOUN
fumecheng-1292	526	4	the	the	DET
fumecheng-1292	526	5	instability	instability	NOUN
fumecheng-1292	526	6	is	be	AUX
fumecheng-1292	526	7	reached	reach	VERB
fumecheng-1292	526	8	at	at	ADP
fumecheng-1292	526	9	lower	low	ADJ
fumecheng-1292	526	10	values	value	NOUN
fumecheng-1292	526	11	of	of	ADP
fumecheng-1292	526	12	ra	ra	PROPN
fumecheng-1292	526	13	at	at	ADP
fumecheng-1292	526	14	the	the	DET
fumecheng-1292	526	15	value	value	NOUN
fumecheng-1292	526	16	of	of	ADP
fumecheng-1292	526	17	wave	wave	NOUN
fumecheng-1292	526	18	number	number	NOUN
fumecheng-1292	526	19	which	which	PRON
fumecheng-1292	526	20	is	be	AUX
fumecheng-1292	526	21	close	close	ADJ
fumecheng-1292	526	22	to	to	ADP
fumecheng-1292	526	23	the	the	DET
fumecheng-1292	526	24	critical	critical	ADJ
fumecheng-1292	526	25	one	one	NUM
fumecheng-1292	526	26	.	.	PUNCT
fumecheng-1292	527	1	we	we	PRON
fumecheng-1292	527	2	have	have	VERB
fumecheng-1292	527	3	ra	ra	PROPN
fumecheng-1292	527	4	<	<	X
fumecheng-1292	527	5	rac	rac	PROPN
fumecheng-1292	527	6	but	but	CCONJ
fumecheng-1292	527	7	a	a	DET
fumecheng-1292	527	8	periodic	periodic	ADJ
fumecheng-1292	527	9	roll	roll	NOUN
fumecheng-1292	527	10	solution	solution	NOUN
fumecheng-1292	527	11	exists	exist	VERB
fumecheng-1292	527	12	,	,	PUNCT
fumecheng-1292	527	13	since	since	SCONJ
fumecheng-1292	527	14	we	we	PRON
fumecheng-1292	527	15	have	have	VERB
fumecheng-1292	527	16	δm	δm	ADP
fumecheng-1292	527	17	≠	≠	PROPN
fumecheng-1292	527	18	0	0	NUM
fumecheng-1292	527	19	.	.	PUNCT
fumecheng-1292	528	1	for	for	ADP
fumecheng-1292	528	2	δm	δm	ADV
fumecheng-1292	528	3	=	=	SYM
fumecheng-1292	528	4	0	0	NOUN
fumecheng-1292	528	5	the	the	DET
fumecheng-1292	528	6	periodic	periodic	ADJ
fumecheng-1292	528	7	roll	roll	NOUN
fumecheng-1292	528	8	solution	solution	NOUN
fumecheng-1292	528	9	can	can	AUX
fumecheng-1292	528	10	exist	exist	VERB
fumecheng-1292	528	11	only	only	ADV
fumecheng-1292	528	12	if	if	SCONJ
fumecheng-1292	528	13	ra	ra	PROPN
fumecheng-1292	528	14	>	>	X
fumecheng-1292	528	15	rac	rac	PROPN
fumecheng-1292	528	16	.	.	PUNCT
fumecheng-1292	529	1	exploring	explore	VERB
fumecheng-1292	529	2	the	the	DET
fumecheng-1292	529	3	stability	stability	NOUN
fumecheng-1292	529	4	regime	regime	NOUN
fumecheng-1292	529	5	of	of	ADP
fumecheng-1292	529	6	cells	cell	NOUN
fumecheng-1292	529	7	is	be	AUX
fumecheng-1292	529	8	a	a	DET
fumecheng-1292	529	9	demanding	demanding	ADJ
fumecheng-1292	529	10	task	task	NOUN
fumecheng-1292	529	11	,	,	PUNCT
fumecheng-1292	529	12	and	and	CCONJ
fumecheng-1292	529	13	even	even	ADV
fumecheng-1292	529	14	more	more	ADV
fumecheng-1292	529	15	difficult	difficult	ADJ
fumecheng-1292	529	16	is	be	AUX
fumecheng-1292	529	17	the	the	DET
fumecheng-1292	529	18	pattern	pattern	NOUN
fumecheng-1292	529	19	selection	selection	NOUN
fumecheng-1292	529	20	,	,	PUNCT
fumecheng-1292	529	21	i.e.	i.e.	X
fumecheng-1292	529	22	understating	understating	NOUN
fumecheng-1292	529	23	which	which	PRON
fumecheng-1292	529	24	is	be	AUX
fumecheng-1292	529	25	spontaneously	spontaneously	ADV
fumecheng-1292	529	26	chosen	choose	VERB
fumecheng-1292	529	27	by	by	ADP
fumecheng-1292	529	28	system	system	NOUN
fumecheng-1292	529	29	dynamics	dynamic	NOUN
fumecheng-1292	529	30	.	.	PUNCT
fumecheng-1292	530	1	the	the	DET
fumecheng-1292	530	2	compression	compression	NOUN
fumecheng-1292	530	3	of	of	ADP
fumecheng-1292	530	4	the	the	DET
fumecheng-1292	530	5	cells	cell	NOUN
fumecheng-1292	530	6	in	in	ADP
fumecheng-1292	530	7	the	the	DET
fumecheng-1292	530	8	interior	interior	NOUN
fumecheng-1292	530	9	,	,	PUNCT
fumecheng-1292	530	10	which	which	PRON
fumecheng-1292	530	11	accompanies	accompany	VERB
fumecheng-1292	530	12	the	the	DET
fumecheng-1292	530	13	enhanced	enhance	VERB
fumecheng-1292	530	14	cells	cell	NOUN
fumecheng-1292	530	15	curvature	curvature	VERB
fumecheng-1292	530	16	,	,	PUNCT
fumecheng-1292	530	17	causes	cause	VERB
fumecheng-1292	530	18	the	the	DET
fumecheng-1292	530	19	wave	wave	NOUN
fumecheng-1292	530	20	number	number	NOUN
fumecheng-1292	530	21	in	in	ADP
fumecheng-1292	530	22	the	the	DET
fumecheng-1292	530	23	cell	cell	NOUN
fumecheng-1292	530	24	center	center	NOUN
fumecheng-1292	530	25	to	to	PART
fumecheng-1292	530	26	exceed	exceed	VERB
fumecheng-1292	530	27	the	the	DET
fumecheng-1292	530	28	instability	instability	NOUN
fumecheng-1292	530	29	boundary	boundary	NOUN
fumecheng-1292	530	30	and	and	CCONJ
fumecheng-1292	530	31	leads	lead	VERB
fumecheng-1292	530	32	to	to	ADP
fumecheng-1292	530	33	the	the	DET
fumecheng-1292	530	34	formation	formation	NOUN
fumecheng-1292	530	35	of	of	ADP
fumecheng-1292	530	36	the	the	DET
fumecheng-1292	530	37	dislocation	dislocation	NOUN
fumecheng-1292	530	38	pairs	pair	NOUN
fumecheng-1292	530	39	.	.	PUNCT
fumecheng-1292	531	1	the	the	DET
fumecheng-1292	531	2	defects	defect	NOUN
fumecheng-1292	531	3	then	then	ADV
fumecheng-1292	531	4	travel	travel	VERB
fumecheng-1292	531	5	toward	toward	ADP
fumecheng-1292	531	6	the	the	DET
fumecheng-1292	531	7	wall	wall	NOUN
fumecheng-1292	531	8	by	by	ADP
fumecheng-1292	531	9	climbing	climb	VERB
fumecheng-1292	531	10	in	in	ADP
fumecheng-1292	531	11	the	the	DET
fumecheng-1292	531	12	direction	direction	NOUN
fumecheng-1292	531	13	opposite	opposite	ADV
fumecheng-1292	531	14	to	to	ADP
fumecheng-1292	531	15	that	that	PRON
fumecheng-1292	531	16	of	of	ADP
fumecheng-1292	531	17	gravity	gravity	NOUN
fumecheng-1292	531	18	acceleration	acceleration	NOUN
fumecheng-1292	531	19	.	.	PUNCT
fumecheng-1292	532	1	the	the	DET
fumecheng-1292	532	2	result	result	NOUN
fumecheng-1292	532	3	of	of	ADP
fumecheng-1292	532	4	this	this	DET
fumecheng-1292	532	5	process	process	NOUN
fumecheng-1292	532	6	is	be	AUX
fumecheng-1292	532	7	reduction	reduction	NOUN
fumecheng-1292	532	8	of	of	ADP
fumecheng-1292	532	9	qm	qm	PROPN
fumecheng-1292	532	10	to	to	ADP
fumecheng-1292	532	11	the	the	DET
fumecheng-1292	532	12	values	value	NOUN
fumecheng-1292	532	13	less	less	ADJ
fumecheng-1292	532	14	than	than	ADP
fumecheng-1292	532	15	qc	qc	PROPN
fumecheng-1292	532	16	and	and	CCONJ
fumecheng-1292	532	17	thus	thus	ADV
fumecheng-1292	532	18	to	to	ADP
fumecheng-1292	532	19	the	the	DET
fumecheng-1292	532	20	restabilization	restabilization	NOUN
fumecheng-1292	532	21	of	of	ADP
fumecheng-1292	532	22	the	the	DET
fumecheng-1292	532	23	pattern	pattern	NOUN
fumecheng-1292	532	24	.	.	PUNCT
fumecheng-1292	533	1	however	however	ADV
fumecheng-1292	533	2	,	,	PUNCT
fumecheng-1292	533	3	the	the	DET
fumecheng-1292	533	4	domain	domain	NOUN
fumecheng-1292	533	5	walls	wall	NOUN
fumecheng-1292	533	6	emit	emit	VERB
fumecheng-1292	533	7	new	new	ADJ
fumecheng-1292	533	8	cells	cell	NOUN
fumecheng-1292	533	9	,	,	PUNCT
fumecheng-1292	533	10	which	which	PRON
fumecheng-1292	533	11	gradually	gradually	ADV
fumecheng-1292	533	12	re	re	VERB
fumecheng-1292	533	13	-	-	VERB
fumecheng-1292	533	14	compress	compress	VERB
fumecheng-1292	533	15	the	the	DET
fumecheng-1292	533	16	ones	one	NOUN
fumecheng-1292	533	17	in	in	ADP
fumecheng-1292	533	18	the	the	DET
fumecheng-1292	533	19	center	center	NOUN
fumecheng-1292	533	20	and	and	CCONJ
fumecheng-1292	533	21	thus	thus	ADV
fumecheng-1292	533	22	lead	lead	VERB
fumecheng-1292	533	23	to	to	ADP
fumecheng-1292	533	24	persistent	persistent	ADJ
fumecheng-1292	533	25	time	time	NOUN
fumecheng-1292	533	26	dependence	dependence	NOUN
fumecheng-1292	533	27	.	.	PUNCT
fumecheng-1292	534	1	6	6	NUM
fumecheng-1292	534	2	.	.	X
fumecheng-1292	534	3	conclusions	conclusion	NOUN
fumecheng-1292	534	4	in	in	ADP
fumecheng-1292	534	5	this	this	DET
fumecheng-1292	534	6	paper	paper	NOUN
fumecheng-1292	534	7	,	,	PUNCT
fumecheng-1292	534	8	dns	dns	NOUN
fumecheng-1292	534	9	of	of	ADP
fumecheng-1292	534	10	the	the	DET
fumecheng-1292	534	11	rayleigh	rayleigh	PROPN
fumecheng-1292	534	12	-	-	PUNCT
fumecheng-1292	534	13	bénard	bénard	NOUN
fumecheng-1292	534	14	convection	convection	NOUN
fumecheng-1292	534	15	(	(	PUNCT
fumecheng-1292	534	16	rbc	rbc	PROPN
fumecheng-1292	534	17	)	)	PUNCT
fumecheng-1292	534	18	is	be	AUX
fumecheng-1292	534	19	performed	perform	VERB
fumecheng-1292	534	20	.	.	PUNCT
fumecheng-1292	535	1	in	in	ADP
fumecheng-1292	535	2	addition	addition	NOUN
fumecheng-1292	535	3	to	to	ADP
fumecheng-1292	535	4	the	the	DET
fumecheng-1292	535	5	applied	apply	VERB
fumecheng-1292	535	6	temperature	temperature	NOUN
fumecheng-1292	535	7	gradient	gradient	NOUN
fumecheng-1292	535	8	,	,	PUNCT
fumecheng-1292	535	9	the	the	DET
fumecheng-1292	535	10	parallel	parallel	ADJ
fumecheng-1292	535	11	walls	wall	NOUN
fumecheng-1292	535	12	are	be	AUX
fumecheng-1292	535	13	inclined	incline	VERB
fumecheng-1292	535	14	and	and	CCONJ
fumecheng-1292	535	15	a	a	DET
fumecheng-1292	535	16	sinusoidal	sinusoidal	ADJ
fumecheng-1292	535	17	temperature	temperature	NOUN
fumecheng-1292	535	18	modulation	modulation	NOUN
fumecheng-1292	535	19	with	with	ADP
fumecheng-1292	535	20	amplitude	amplitude	NOUN
fumecheng-1292	535	21	δm	δm	ADP
fumecheng-1292	535	22	and	and	CCONJ
fumecheng-1292	535	23	wave	wave	NOUN
fumecheng-1292	535	24	number	number	NOUN
fumecheng-1292	535	25	qm	qm	PROPN
fumecheng-1292	535	26	is	be	AUX
fumecheng-1292	535	27	introduced	introduce	VERB
fumecheng-1292	535	28	at	at	ADP
fumecheng-1292	535	29	the	the	DET
fumecheng-1292	535	30	lower	low	ADJ
fumecheng-1292	535	31	plate	plate	NOUN
fumecheng-1292	535	32	.	.	PUNCT
fumecheng-1292	536	1	while	while	SCONJ
fumecheng-1292	536	2	in	in	ADP
fumecheng-1292	536	3	the	the	DET
fumecheng-1292	536	4	unforced	unforced	ADJ
fumecheng-1292	536	5	rbc	rbc	PROPN
fumecheng-1292	536	6	the	the	DET
fumecheng-1292	536	7	heat	heat	NOUN
fumecheng-1292	536	8	conduction	conduction	NOUN
fumecheng-1292	536	9	state	state	NOUN
fumecheng-1292	536	10	becomes	become	VERB
fumecheng-1292	536	11	unstable	unstable	ADJ
fumecheng-1292	536	12	at	at	ADP
fumecheng-1292	536	13	critical	critical	ADJ
fumecheng-1292	536	14	rayleigh	rayleigh	PROPN
fumecheng-1292	536	15	number	number	NOUN
fumecheng-1292	536	16	rac	rac	NOUN
fumecheng-1292	536	17	against	against	ADP
fumecheng-1292	536	18	convection	convection	NOUN
fumecheng-1292	536	19	cells	cell	NOUN
fumecheng-1292	536	20	with	with	ADP
fumecheng-1292	536	21	wave	wave	NOUN
fumecheng-1292	536	22	number	number	NOUN
fumecheng-1292	536	23	qc	qc	PROPN
fumecheng-1292	536	24	,	,	PUNCT
fumecheng-1292	536	25	the	the	DET
fumecheng-1292	536	26	forced	force	VERB
fumecheng-1292	536	27	cell	cell	NOUN
fumecheng-1292	536	28	solutions	solution	NOUN
fumecheng-1292	536	29	with	with	ADP
fumecheng-1292	536	30	wave	wave	NOUN
fumecheng-1292	536	31	number	number	NOUN
fumecheng-1292	536	32	qm	qm	PROPN
fumecheng-1292	536	33	exist	exist	VERB
fumecheng-1292	536	34	at	at	ADP
fumecheng-1292	536	35	any	any	DET
fumecheng-1292	536	36	given	give	VERB
fumecheng-1292	536	37	ra	ra	NOUN
fumecheng-1292	536	38	.	.	PUNCT
fumecheng-1292	537	1	various	various	ADJ
fumecheng-1292	537	2	destabilization	destabilization	NOUN
fumecheng-1292	537	3	mechanisms	mechanism	NOUN
fumecheng-1292	537	4	acting	act	VERB
fumecheng-1292	537	5	on	on	ADP
fumecheng-1292	537	6	the	the	DET
fumecheng-1292	537	7	forced	force	VERB
fumecheng-1292	537	8	cells	cell	NOUN
fumecheng-1292	537	9	depend	depend	VERB
fumecheng-1292	537	10	sensitively	sensitively	ADV
fumecheng-1292	537	11	on	on	ADP
fumecheng-1292	537	12	the	the	DET
fumecheng-1292	537	13	ratio	ratio	NOUN
fumecheng-1292	537	14	qm	qm	PROPN
fumecheng-1292	537	15	/	/	SYM
fumecheng-1292	537	16	qc	qc	PROPN
fumecheng-1292	537	17	;	;	PUNCT
fumecheng-1292	537	18	here	here	ADV
fumecheng-1292	537	19	the	the	DET
fumecheng-1292	537	20	results	result	NOUN
fumecheng-1292	537	21	of	of	ADP
fumecheng-1292	537	22	simulation	simulation	NOUN
fumecheng-1292	537	23	when	when	SCONJ
fumecheng-1292	537	24	this	this	DET
fumecheng-1292	537	25	ratio	ratio	NOUN
fumecheng-1292	537	26	is	be	AUX
fumecheng-1292	537	27	1.2	1.2	NUM
fumecheng-1292	537	28	are	be	AUX
fumecheng-1292	537	29	presented	present	VERB
fumecheng-1292	537	30	.	.	PUNCT
fumecheng-1292	538	1	additional	additional	ADJ
fumecheng-1292	538	2	spatial	spatial	ADJ
fumecheng-1292	538	3	forcing	forcing	NOUN
fumecheng-1292	538	4	appears	appear	VERB
fumecheng-1292	538	5	at	at	ADP
fumecheng-1292	538	6	upper	upper	ADJ
fumecheng-1292	538	7	plate	plate	NOUN
fumecheng-1292	538	8	and	and	CCONJ
fumecheng-1292	538	9	in	in	ADP
fumecheng-1292	538	10	the	the	DET
fumecheng-1292	538	11	horizontal	horizontal	ADJ
fumecheng-1292	538	12	direction	direction	NOUN
fumecheng-1292	538	13	as	as	SCONJ
fumecheng-1292	538	14	the	the	DET
fumecheng-1292	538	15	walls	wall	NOUN
fumecheng-1292	538	16	are	be	AUX
fumecheng-1292	538	17	inclined	incline	VERB
fumecheng-1292	538	18	.	.	PUNCT
fumecheng-1292	539	1	this	this	PRON
fumecheng-1292	539	2	opens	open	VERB
fumecheng-1292	539	3	up	up	ADP
fumecheng-1292	539	4	new	new	ADJ
fumecheng-1292	539	5	possibilities	possibility	NOUN
fumecheng-1292	539	6	,	,	PUNCT
fumecheng-1292	539	7	in	in	ADP
fumecheng-1292	539	8	particular	particular	ADJ
fumecheng-1292	539	9	when	when	SCONJ
fumecheng-1292	539	10	the	the	DET
fumecheng-1292	539	11	system	system	NOUN
fumecheng-1292	539	12	is	be	AUX
fumecheng-1292	539	13	exposed	expose	VERB
fumecheng-1292	539	14	to	to	ADP
fumecheng-1292	539	15	the	the	DET
fumecheng-1292	539	16	presence	presence	NOUN
fumecheng-1292	539	17	of	of	ADP
fumecheng-1292	539	18	nonequal	nonequal	ADJ
fumecheng-1292	539	19	forcing	force	VERB
fumecheng-1292	539	20	wave	wave	NOUN
fumecheng-1292	539	21	numbers	number	NOUN
fumecheng-1292	539	22	imposed	impose	VERB
fumecheng-1292	539	23	at	at	ADP
fumecheng-1292	539	24	the	the	DET
fumecheng-1292	539	25	two	two	NUM
fumecheng-1292	539	26	confining	confine	VERB
fumecheng-1292	539	27	plates	plate	NOUN
fumecheng-1292	539	28	.	.	PUNCT
fumecheng-1292	540	1	it	it	PRON
fumecheng-1292	540	2	should	should	AUX
fumecheng-1292	540	3	be	be	AUX
fumecheng-1292	540	4	also	also	ADV
fumecheng-1292	540	5	mentioned	mention	VERB
fumecheng-1292	540	6	that	that	SCONJ
fumecheng-1292	540	7	even	even	ADV
fumecheng-1292	540	8	in	in	ADP
fumecheng-1292	540	9	the	the	DET
fumecheng-1292	540	10	absence	absence	NOUN
fumecheng-1292	540	11	of	of	ADP
fumecheng-1292	540	12	an	an	DET
fumecheng-1292	540	13	applied	apply	VERB
fumecheng-1292	540	14	uniform	uniform	ADJ
fumecheng-1292	540	15	temperature	temperature	NOUN
fumecheng-1292	540	16	gradient	gradient	NOUN
fumecheng-1292	540	17	,	,	PUNCT
fumecheng-1292	540	18	a	a	DET
fumecheng-1292	540	19	pure	pure	ADJ
fumecheng-1292	540	20	temperature	temperature	NOUN
fumecheng-1292	540	21	modulation	modulation	NOUN
fumecheng-1292	540	22	leads	lead	VERB
fumecheng-1292	540	23	to	to	ADP
fumecheng-1292	540	24	periodic	periodic	ADJ
fumecheng-1292	540	25	convection	convection	NOUN
fumecheng-1292	540	26	patterns	pattern	NOUN
fumecheng-1292	540	27	.	.	PUNCT
fumecheng-1292	541	1	acknowledgements	acknowledgement	NOUN
fumecheng-1292	541	2	:	:	PUNCT
fumecheng-1292	541	3	the	the	DET
fumecheng-1292	541	4	authors	author	NOUN
fumecheng-1292	541	5	would	would	AUX
fumecheng-1292	541	6	like	like	VERB
fumecheng-1292	541	7	to	to	PART
fumecheng-1292	541	8	thank	thank	VERB
fumecheng-1292	541	9	prof	prof	PROPN
fumecheng-1292	541	10	.	.	PUNCT
fumecheng-1292	542	1	dr	dr	PROPN
fumecheng-1292	542	2	.	.	PROPN
fumecheng-1292	542	3	miloš	miloš	PROPN
fumecheng-1292	542	4	jovanović	jovanović	PROPN
fumecheng-1292	542	5	for	for	ADP
fumecheng-1292	542	6	his	his	PRON
fumecheng-1292	542	7	invaluable	invaluable	ADJ
fumecheng-1292	542	8	insights	insight	NOUN
fumecheng-1292	542	9	into	into	ADP
fumecheng-1292	542	10	the	the	DET
fumecheng-1292	542	11	problems	problem	NOUN
fumecheng-1292	542	12	of	of	ADP
fumecheng-1292	542	13	the	the	DET
fumecheng-1292	542	14	rayleigh	rayleigh	NOUN
fumecheng-1292	542	15	-	-	PUNCT
fumecheng-1292	542	16	bénard	bénard	PROPN
fumecheng-1292	542	17	convection	convection	NOUN
fumecheng-1292	542	18	.	.	PUNCT
fumecheng-1292	543	1	the	the	DET
fumecheng-1292	543	2	paper	paper	NOUN
fumecheng-1292	543	3	is	be	AUX
fumecheng-1292	543	4	part	part	NOUN
fumecheng-1292	543	5	of	of	ADP
fumecheng-1292	543	6	the	the	DET
fumecheng-1292	543	7	work	work	NOUN
fumecheng-1292	543	8	within	within	ADP
fumecheng-1292	543	9	the	the	DET
fumecheng-1292	543	10	project	project	NOUN
fumecheng-1292	543	11	with	with	ADP
fumecheng-1292	543	12	the	the	DET
fumecheng-1292	543	13	government	government	NOUN
fumecheng-1292	543	14	of	of	ADP
fumecheng-1292	543	15	the	the	DET
fumecheng-1292	543	16	republic	republic	NOUN
fumecheng-1292	543	17	of	of	ADP
fumecheng-1292	543	18	serbia	serbia	PROPN
fumecheng-1292	543	19	tr33036	tr33036	PROPN
fumecheng-1292	543	20	.	.	PUNCT
fumecheng-1292	544	1	instability	instability	NOUN
fumecheng-1292	544	2	of	of	ADP
fumecheng-1292	544	3	rayleigh	rayleigh	NOUN
fumecheng-1292	544	4	-	-	PUNCT
fumecheng-1292	544	5	bénard	bénard	NOUN
fumecheng-1292	544	6	convection	convection	NOUN
fumecheng-1292	544	7	for	for	ADP
fumecheng-1292	544	8	inclined	inclined	ADJ
fumecheng-1292	544	9	lower	low	ADJ
fumecheng-1292	544	10	wall	wall	NOUN
fumecheng-1292	544	11	with	with	ADP
fumecheng-1292	544	12	temperature	temperature	NOUN
fumecheng-1292	544	13	variation	variation	NOUN
fumecheng-1292	544	14	197	197	NUM
fumecheng-1292	544	15	references	reference	NOUN
fumecheng-1292	544	16	1	1	NUM
fumecheng-1292	544	17	.	.	PUNCT
fumecheng-1292	545	1	tippelskirch	tippelskirch	PROPN
fumecheng-1292	545	2	,	,	PUNCT
fumecheng-1292	545	3	h.	h.	PROPN
fumecheng-1292	545	4	,	,	PUNCT
fumecheng-1292	545	5	1956	1956	NUM
fumecheng-1292	545	6	,	,	PUNCT
fumecheng-1292	545	7	über	über	PROPN
fumecheng-1292	545	8	konvektions	konvektions	PROPN
fumecheng-1292	545	9	-	-	PUNCT
fumecheng-1292	545	10	zellen	zellen	PROPN
fumecheng-1292	545	11	,	,	PUNCT
fumecheng-1292	545	12	insbesondere	insbesondere	ADV
fumecheng-1292	545	13	in	in	ADP
fumecheng-1292	545	14	flüssigemschwefel	flüssigemschwefel	NOUN
fumecheng-1292	545	15	,	,	PUNCT
fumecheng-1292	545	16	beitr	beitr	NOUN
fumecheng-1292	545	17	.	.	PUNCT
fumecheng-1292	546	1	phys	phy	NOUN
fumecheng-1292	546	2	.	.	PUNCT
fumecheng-1292	547	1	atmos	atmos	PROPN
fumecheng-1292	547	2	.	.	PROPN
fumecheng-1292	547	3	,	,	PUNCT
fumecheng-1292	547	4	29	29	NUM
fumecheng-1292	547	5	,	,	PUNCT
fumecheng-1292	547	6	pp	pp	ADJ
fumecheng-1292	547	7	.	.	PUNCT
fumecheng-1292	548	1	37	37	NUM
fumecheng-1292	548	2	-	-	SYM
fumecheng-1292	548	3	54	54	NUM
fumecheng-1292	548	4	.	.	PUNCT
fumecheng-1292	549	1	2	2	NUM
fumecheng-1292	549	2	.	.	X
fumecheng-1292	549	3	segel	segel	NOUN
fumecheng-1292	549	4	,	,	PUNCT
fumecheng-1292	549	5	l.a	l.a	PROPN
fumecheng-1292	549	6	.	.	PROPN
fumecheng-1292	549	7	,	,	PUNCT
fumecheng-1292	549	8	stuart	stuart	PROPN
fumecheng-1292	549	9	,	,	PUNCT
fumecheng-1292	549	10	j.t	j.t	PROPN
fumecheng-1292	549	11	.	.	PROPN
fumecheng-1292	549	12	,	,	PUNCT
fumecheng-1292	549	13	1962	1962	NUM
fumecheng-1292	549	14	,	,	PUNCT
fumecheng-1292	549	15	on	on	ADP
fumecheng-1292	549	16	the	the	DET
fumecheng-1292	549	17	question	question	NOUN
fumecheng-1292	549	18	of	of	ADP
fumecheng-1292	549	19	the	the	DET
fumecheng-1292	549	20	preferred	preferred	ADJ
fumecheng-1292	549	21	mode	mode	NOUN
fumecheng-1292	549	22	in	in	ADP
fumecheng-1292	549	23	cellular	cellular	ADJ
fumecheng-1292	549	24	thermal	thermal	ADJ
fumecheng-1292	549	25	convection	convection	NOUN
fumecheng-1292	549	26	,	,	PUNCT
fumecheng-1292	549	27	journal	journal	NOUN
fumecheng-1292	549	28	of	of	ADP
fumecheng-1292	549	29	fluid	fluid	ADJ
fumecheng-1292	549	30	mechanics	mechanic	NOUN
fumecheng-1292	549	31	,	,	PUNCT
fumecheng-1292	549	32	13(2	13(2	NOUN
fumecheng-1292	549	33	)	)	PUNCT
fumecheng-1292	549	34	,	,	PUNCT
fumecheng-1292	549	35	pp	pp	PROPN
fumecheng-1292	549	36	.	.	PUNCT
fumecheng-1292	550	1	289	289	NUM
fumecheng-1292	550	2	-	-	SYM
fumecheng-1292	550	3	306	306	NUM
fumecheng-1292	550	4	.	.	PUNCT
fumecheng-1292	551	1	3	3	X
fumecheng-1292	551	2	.	.	X
fumecheng-1292	551	3	busse	busse	PROPN
fumecheng-1292	551	4	,	,	PUNCT
fumecheng-1292	551	5	f.h	f.h	PROPN
fumecheng-1292	551	6	.	.	PROPN
fumecheng-1292	551	7	,	,	PUNCT
fumecheng-1292	551	8	1967	1967	NUM
fumecheng-1292	551	9	,	,	PUNCT
fumecheng-1292	551	10	the	the	DET
fumecheng-1292	551	11	stability	stability	NOUN
fumecheng-1292	551	12	of	of	ADP
fumecheng-1292	551	13	finite	finite	ADJ
fumecheng-1292	551	14	amplitude	amplitude	NOUN
fumecheng-1292	551	15	cellular	cellular	ADJ
fumecheng-1292	551	16	convection	convection	NOUN
fumecheng-1292	551	17	and	and	CCONJ
fumecheng-1292	551	18	its	its	PRON
fumecheng-1292	551	19	relation	relation	NOUN
fumecheng-1292	551	20	to	to	ADP
fumecheng-1292	551	21	an	an	DET
fumecheng-1292	551	22	extremum	extremum	ADJ
fumecheng-1292	551	23	principle	principle	NOUN
fumecheng-1292	551	24	,	,	PUNCT
fumecheng-1292	551	25	journal	journal	NOUN
fumecheng-1292	551	26	of	of	ADP
fumecheng-1292	551	27	fluid	fluid	ADJ
fumecheng-1292	551	28	mechanics	mechanic	NOUN
fumecheng-1292	551	29	,	,	PUNCT
fumecheng-1292	551	30	30(4	30(4	NUM
fumecheng-1292	551	31	)	)	PUNCT
fumecheng-1292	551	32	,	,	PUNCT
fumecheng-1292	551	33	pp	pp	PROPN
fumecheng-1292	551	34	.	.	PUNCT
fumecheng-1292	552	1	625	625	NUM
fumecheng-1292	552	2	-	-	SYM
fumecheng-1292	552	3	649	649	NUM
fumecheng-1292	552	4	.	.	NOUN
fumecheng-1292	553	1	4	4	NUM
fumecheng-1292	553	2	.	.	X
fumecheng-1292	553	3	stengel	stengel	PROPN
fumecheng-1292	553	4	,	,	PUNCT
fumecheng-1292	553	5	k.	k.	PROPN
fumecheng-1292	553	6	c.	c.	PROPN
fumecheng-1292	553	7	,	,	PUNCT
fumecheng-1292	553	8	oliver	oliver	PROPN
fumecheng-1292	553	9	,	,	PUNCT
fumecheng-1292	553	10	d.	d.	PROPN
fumecheng-1292	553	11	s.	s.	PROPN
fumecheng-1292	553	12	and	and	CCONJ
fumecheng-1292	553	13	booker	booker	PROPN
fumecheng-1292	553	14	,	,	PUNCT
fumecheng-1292	553	15	j.	j.	PROPN
fumecheng-1292	553	16	r.	r.	PROPN
fumecheng-1292	553	17	,	,	PUNCT
fumecheng-1292	553	18	1982	1982	NUM
fumecheng-1292	553	19	,	,	PUNCT
fumecheng-1292	553	20	onset	onset	NOUN
fumecheng-1292	553	21	of	of	ADP
fumecheng-1292	553	22	convection	convection	NOUN
fumecheng-1292	553	23	in	in	ADP
fumecheng-1292	553	24	a	a	DET
fumecheng-1292	553	25	variable	variable	ADJ
fumecheng-1292	553	26	-	-	PUNCT
fumecheng-1292	553	27	viscosity	viscosity	NOUN
fumecheng-1292	553	28	fluid	fluid	NOUN
fumecheng-1292	553	29	,	,	PUNCT
fumecheng-1292	553	30	journal	journal	NOUN
fumecheng-1292	553	31	of	of	ADP
fumecheng-1292	553	32	fluid	fluid	ADJ
fumecheng-1292	553	33	mechanics	mechanic	NOUN
fumecheng-1292	553	34	,	,	PUNCT
fumecheng-1292	553	35	120	120	NUM
fumecheng-1292	553	36	,	,	PUNCT
fumecheng-1292	553	37	pp	pp	ADJ
fumecheng-1292	553	38	.	.	PUNCT
fumecheng-1292	554	1	411	411	NUM
fumecheng-1292	554	2	-	-	SYM
fumecheng-1292	554	3	431	431	NUM
fumecheng-1292	554	4	.	.	PUNCT
fumecheng-1292	555	1	5	5	NUM
fumecheng-1292	555	2	.	.	X
fumecheng-1292	555	3	busse	busse	PROPN
fumecheng-1292	555	4	,	,	PUNCT
fumecheng-1292	555	5	f.h	f.h	PROPN
fumecheng-1292	555	6	.	.	PROPN
fumecheng-1292	555	7	,	,	PUNCT
fumecheng-1292	555	8	frick	frick	PROPN
fumecheng-1292	555	9	,	,	PUNCT
fumecheng-1292	555	10	h.	h.	PROPN
fumecheng-1292	555	11	,	,	PUNCT
fumecheng-1292	555	12	1985	1985	NUM
fumecheng-1292	555	13	,	,	PUNCT
fumecheng-1292	555	14	square	square	ADJ
fumecheng-1292	555	15	-	-	PUNCT
fumecheng-1292	555	16	pattern	pattern	NOUN
fumecheng-1292	555	17	convection	convection	NOUN
fumecheng-1292	555	18	in	in	ADP
fumecheng-1292	555	19	fluids	fluid	NOUN
fumecheng-1292	555	20	with	with	ADP
fumecheng-1292	555	21	strongly	strongly	ADV
fumecheng-1292	555	22	temperature	temperature	NOUN
fumecheng-1292	555	23	-	-	PUNCT
fumecheng-1292	555	24	dependent	dependent	ADJ
fumecheng-1292	555	25	viscosity	viscosity	NOUN
fumecheng-1292	555	26	,	,	PUNCT
fumecheng-1292	555	27	journal	journal	NOUN
fumecheng-1292	555	28	of	of	ADP
fumecheng-1292	555	29	fluid	fluid	ADJ
fumecheng-1292	555	30	mechanics	mechanic	NOUN
fumecheng-1292	555	31	,	,	PUNCT
fumecheng-1292	555	32	150	150	NUM
fumecheng-1292	555	33	,	,	PUNCT
fumecheng-1292	555	34	pp	pp	ADJ
fumecheng-1292	555	35	.	.	PUNCT
fumecheng-1292	556	1	451	451	NUM
fumecheng-1292	556	2	-	-	SYM
fumecheng-1292	556	3	465	465	NUM
fumecheng-1292	556	4	.	.	PUNCT
fumecheng-1292	557	1	6	6	NUM
fumecheng-1292	557	2	.	.	X
fumecheng-1292	557	3	subha	subha	PROPN
fumecheng-1292	557	4	,	,	PUNCT
fumecheng-1292	557	5	s.	s.	PROPN
fumecheng-1292	557	6	,	,	PUNCT
fumecheng-1292	557	7	2012	2012	NUM
fumecheng-1292	557	8	,	,	PUNCT
fumecheng-1292	557	9	numerical	numerical	ADJ
fumecheng-1292	557	10	stimulation	stimulation	NOUN
fumecheng-1292	557	11	of	of	ADP
fumecheng-1292	557	12	rayleigh	rayleigh	PROPN
fumecheng-1292	557	13	bernard	bernard	PROPN
fumecheng-1292	557	14	convection	convection	NOUN
fumecheng-1292	557	15	in	in	ADP
fumecheng-1292	557	16	wavy	wavy	ADJ
fumecheng-1292	557	17	enclosures	enclosure	NOUN
fumecheng-1292	557	18	,	,	PUNCT
fumecheng-1292	557	19	international	international	ADJ
fumecheng-1292	557	20	journal	journal	NOUN
fumecheng-1292	557	21	of	of	ADP
fumecheng-1292	557	22	instrumentation	instrumentation	NOUN
fumecheng-1292	557	23	,	,	PUNCT
fumecheng-1292	557	24	control	control	NOUN
fumecheng-1292	557	25	and	and	CCONJ
fumecheng-1292	557	26	automation	automation	NOUN
fumecheng-1292	557	27	(	(	PUNCT
fumecheng-1292	557	28	ijica	ijica	PROPN
fumecheng-1292	557	29	)	)	PUNCT
fumecheng-1292	557	30	,	,	PUNCT
fumecheng-1292	557	31	1(3	1(3	NUM
fumecheng-1292	557	32	-	-	SYM
fumecheng-1292	557	33	4	4	NUM
fumecheng-1292	557	34	)	)	PUNCT
fumecheng-1292	557	35	,	,	PUNCT
fumecheng-1292	557	36	pp	pp	ADP
fumecheng-1292	557	37	.	.	PUNCT
fumecheng-1292	558	1	59	59	NUM
fumecheng-1292	558	2	-	-	SYM
fumecheng-1292	558	3	62	62	NUM
fumecheng-1292	558	4	.	.	PUNCT
fumecheng-1292	559	1	7	7	X
fumecheng-1292	559	2	.	.	X
fumecheng-1292	559	3	tracy	tracy	PROPN
fumecheng-1292	559	4	,	,	PUNCT
fumecheng-1292	559	5	n.i	n.i	PROPN
fumecheng-1292	559	6	.	.	PROPN
fumecheng-1292	559	7	,	,	PUNCT
fumecheng-1292	559	8	crunkleton	crunkleton	PROPN
fumecheng-1292	559	9	,	,	PUNCT
fumecheng-1292	559	10	d.w	d.w	PROPN
fumecheng-1292	559	11	.	.	PROPN
fumecheng-1292	559	12	,	,	PUNCT
fumecheng-1292	559	13	2012	2012	NUM
fumecheng-1292	559	14	,	,	PUNCT
fumecheng-1292	559	15	oscillatory	oscillatory	ADJ
fumecheng-1292	559	16	natural	natural	ADJ
fumecheng-1292	559	17	convection	convection	NOUN
fumecheng-1292	559	18	in	in	ADP
fumecheng-1292	559	19	trapezoidal	trapezoidal	ADJ
fumecheng-1292	559	20	enclosures	enclosure	NOUN
fumecheng-1292	559	21	,	,	PUNCT
fumecheng-1292	559	22	international	international	ADJ
fumecheng-1292	559	23	journal	journal	NOUN
fumecheng-1292	559	24	of	of	ADP
fumecheng-1292	559	25	heat	heat	NOUN
fumecheng-1292	559	26	and	and	CCONJ
fumecheng-1292	559	27	mass	mass	NOUN
fumecheng-1292	559	28	transfer	transfer	NOUN
fumecheng-1292	559	29	,	,	PUNCT
fumecheng-1292	559	30	55	55	NUM
fumecheng-1292	559	31	,	,	PUNCT
fumecheng-1292	559	32	pp	pp	ADP
fumecheng-1292	559	33	4498–4510	4498–4510	NUM
fumecheng-1292	559	34	.	.	PUNCT
fumecheng-1292	560	1	8	8	NUM
fumecheng-1292	560	2	.	.	X
fumecheng-1292	560	3	yigit	yigit	PROPN
fumecheng-1292	560	4	,	,	PUNCT
fumecheng-1292	560	5	s.	s.	PROPN
fumecheng-1292	560	6	,	,	PUNCT
fumecheng-1292	560	7	poole	poole	PROPN
fumecheng-1292	560	8	,	,	PUNCT
fumecheng-1292	560	9	r.	r.	PROPN
fumecheng-1292	560	10	j.	j.	PROPN
fumecheng-1292	560	11	,	,	PUNCT
fumecheng-1292	560	12	chakraborty	chakraborty	PROPN
fumecheng-1292	560	13	,	,	PUNCT
fumecheng-1292	560	14	n.	n.	NOUN
fumecheng-1292	560	15	,	,	PUNCT
fumecheng-1292	560	16	2015	2015	NUM
fumecheng-1292	560	17	,	,	PUNCT
fumecheng-1292	560	18	effects	effect	NOUN
fumecheng-1292	560	19	of	of	ADP
fumecheng-1292	560	20	aspect	aspect	NOUN
fumecheng-1292	560	21	ratio	ratio	NOUN
fumecheng-1292	560	22	on	on	ADP
fumecheng-1292	560	23	laminar	laminar	ADJ
fumecheng-1292	560	24	rayleigh	rayleigh	PROPN
fumecheng-1292	560	25	–	–	PUNCT
fumecheng-1292	560	26	bénard	bénard	ADJ
fumecheng-1292	560	27	convection	convection	NOUN
fumecheng-1292	560	28	of	of	ADP
fumecheng-1292	560	29	power	power	NOUN
fumecheng-1292	560	30	-	-	PUNCT
fumecheng-1292	560	31	law	law	NOUN
fumecheng-1292	560	32	fluids	fluid	NOUN
fumecheng-1292	560	33	in	in	ADP
fumecheng-1292	560	34	rectangular	rectangular	ADJ
fumecheng-1292	560	35	enclosures	enclosure	NOUN
fumecheng-1292	560	36	:	:	PUNCT
fumecheng-1292	560	37	a	a	DET
fumecheng-1292	560	38	numerical	numerical	ADJ
fumecheng-1292	560	39	investigation	investigation	NOUN
fumecheng-1292	560	40	,	,	PUNCT
fumecheng-1292	560	41	international	international	ADJ
fumecheng-1292	560	42	journal	journal	NOUN
fumecheng-1292	560	43	of	of	ADP
fumecheng-1292	560	44	heat	heat	NOUN
fumecheng-1292	560	45	and	and	CCONJ
fumecheng-1292	560	46	mass	mass	NOUN
fumecheng-1292	560	47	transfer	transfer	NOUN
fumecheng-1292	560	48	91	91	NUM
fumecheng-1292	560	49	,	,	PUNCT
fumecheng-1292	560	50	pp.1292–1307	pp.1292–1307	PROPN
fumecheng-1292	560	51	9	9	NUM
fumecheng-1292	560	52	.	.	PUNCT
fumecheng-1292	561	1	park	park	PROPN
fumecheng-1292	561	2	,	,	PUNCT
fumecheng-1292	561	3	h.m	h.m	PROPN
fumecheng-1292	561	4	.	.	PROPN
fumecheng-1292	561	5	,	,	PUNCT
fumecheng-1292	561	6	2015	2015	NUM
fumecheng-1292	561	7	,	,	PUNCT
fumecheng-1292	561	8	rayleigh	rayleigh	NOUN
fumecheng-1292	561	9	-	-	PUNCT
fumecheng-1292	561	10	bénard	bénard	NOUN
fumecheng-1292	561	11	convection	convection	NOUN
fumecheng-1292	561	12	of	of	ADP
fumecheng-1292	561	13	nanofluids	nanofluid	NOUN
fumecheng-1292	561	14	based	base	VERB
fumecheng-1292	561	15	on	on	ADP
fumecheng-1292	561	16	the	the	DET
fumecheng-1292	561	17	pseudo	pseudo	NOUN
fumecheng-1292	561	18	-	-	ADJ
fumecheng-1292	561	19	single	single	ADJ
fumecheng-1292	561	20	-	-	PUNCT
fumecheng-1292	561	21	phase	phase	NOUN
fumecheng-1292	561	22	continuum	continuum	ADJ
fumecheng-1292	561	23	model	model	NOUN
fumecheng-1292	561	24	,	,	PUNCT
fumecheng-1292	561	25	international	international	ADJ
fumecheng-1292	561	26	journal	journal	NOUN
fumecheng-1292	561	27	of	of	ADP
fumecheng-1292	561	28	thermal	thermal	ADJ
fumecheng-1292	561	29	sciences	science	NOUN
fumecheng-1292	561	30	,	,	PUNCT
fumecheng-1292	561	31	90	90	NUM
fumecheng-1292	561	32	,	,	PUNCT
fumecheng-1292	561	33	pp	pp	ADJ
fumecheng-1292	561	34	.	.	PUNCT
fumecheng-1292	562	1	267	267	NUM
fumecheng-1292	562	2	-	-	SYM
fumecheng-1292	562	3	278	278	NUM
fumecheng-1292	562	4	.	.	PUNCT
fumecheng-1292	563	1	10	10	NUM
fumecheng-1292	563	2	.	.	PUNCT
fumecheng-1292	564	1	matveev	matveev	PROPN
fumecheng-1292	564	2	,	,	PUNCT
fumecheng-1292	564	3	l.v	l.v	PROPN
fumecheng-1292	564	4	.	.	PROPN
fumecheng-1292	564	5	,	,	PUNCT
fumecheng-1292	564	6	2016	2016	NUM
fumecheng-1292	564	7	,	,	PUNCT
fumecheng-1292	564	8	impurity	impurity	NOUN
fumecheng-1292	564	9	transport	transport	NOUN
fumecheng-1292	564	10	in	in	ADP
fumecheng-1292	564	11	developed	develop	VERB
fumecheng-1292	564	12	rayleigh	rayleigh	PROPN
fumecheng-1292	564	13	–	–	PUNCT
fumecheng-1292	564	14	bénard	bénard	ADJ
fumecheng-1292	564	15	convection	convection	NOUN
fumecheng-1292	564	16	,	,	PUNCT
fumecheng-1292	564	17	international	international	ADJ
fumecheng-1292	564	18	journal	journal	NOUN
fumecheng-1292	564	19	of	of	ADP
fumecheng-1292	564	20	heat	heat	NOUN
fumecheng-1292	564	21	and	and	CCONJ
fumecheng-1292	564	22	mass	mass	NOUN
fumecheng-1292	564	23	transfer	transfer	NOUN
fumecheng-1292	564	24	95	95	NUM
fumecheng-1292	564	25	pp	pp	NOUN
fumecheng-1292	564	26	.	.	PUNCT
fumecheng-1292	565	1	15–21	15–21	NUM
fumecheng-1292	565	2	.	.	NOUN
fumecheng-1292	565	3	11	11	NUM
fumecheng-1292	565	4	.	.	PUNCT
fumecheng-1292	566	1	zimmermann	zimmermann	PROPN
fumecheng-1292	566	2	,	,	PUNCT
fumecheng-1292	566	3	c.	c.	PROPN
fumecheng-1292	566	4	,	,	PUNCT
fumecheng-1292	566	5	groll	groll	PROPN
fumecheng-1292	566	6	,	,	PUNCT
fumecheng-1292	566	7	r.	r.	PROPN
fumecheng-1292	566	8	,	,	PUNCT
fumecheng-1292	566	9	2015	2015	NUM
fumecheng-1292	566	10	,	,	PUNCT
fumecheng-1292	566	11	computational	computational	ADJ
fumecheng-1292	566	12	investigation	investigation	NOUN
fumecheng-1292	566	13	of	of	ADP
fumecheng-1292	566	14	thermal	thermal	ADJ
fumecheng-1292	566	15	boundary	boundary	ADJ
fumecheng-1292	566	16	layers	layer	NOUN
fumecheng-1292	566	17	in	in	ADP
fumecheng-1292	566	18	a	a	DET
fumecheng-1292	566	19	turbulent	turbulent	ADJ
fumecheng-1292	566	20	rayleigh	rayleigh	ADJ
fumecheng-1292	566	21	–	–	PUNCT
fumecheng-1292	566	22	bénard	bénard	ADJ
fumecheng-1292	566	23	problem	problem	NOUN
fumecheng-1292	566	24	,	,	PUNCT
fumecheng-1292	566	25	international	international	ADJ
fumecheng-1292	566	26	journal	journal	NOUN
fumecheng-1292	566	27	of	of	ADP
fumecheng-1292	566	28	heat	heat	NOUN
fumecheng-1292	566	29	and	and	CCONJ
fumecheng-1292	566	30	fluid	fluid	ADJ
fumecheng-1292	566	31	flow	flow	NOUN
fumecheng-1292	566	32	,	,	PUNCT
fumecheng-1292	566	33	54	54	NUM
fumecheng-1292	566	34	,	,	PUNCT
fumecheng-1292	566	35	pp	pp	ADJ
fumecheng-1292	566	36	.	.	PUNCT
fumecheng-1292	567	1	276–291	276–291	NUM
fumecheng-1292	567	2	.	.	NOUN
fumecheng-1292	567	3	12	12	NUM
fumecheng-1292	567	4	.	.	PUNCT
fumecheng-1292	568	1	paolucci	paolucci	PROPN
fumecheng-1292	568	2	,	,	PUNCT
fumecheng-1292	568	3	s.	s.	PROPN
fumecheng-1292	568	4	,	,	PUNCT
fumecheng-1292	568	5	chenoweth	chenoweth	PROPN
fumecheng-1292	568	6	,	,	PUNCT
fumecheng-1292	568	7	d.r	d.r	PROPN
fumecheng-1292	568	8	.	.	PROPN
fumecheng-1292	568	9	,	,	PUNCT
fumecheng-1292	568	10	1987	1987	NUM
fumecheng-1292	568	11	,	,	PUNCT
fumecheng-1292	568	12	departures	departure	NOUN
fumecheng-1292	568	13	from	from	ADP
fumecheng-1292	568	14	the	the	DET
fumecheng-1292	568	15	boussinesq	boussinesq	ADJ
fumecheng-1292	568	16	approximation	approximation	NOUN
fumecheng-1292	568	17	in	in	ADP
fumecheng-1292	568	18	the	the	DET
fumecheng-1292	568	19	laminar	laminar	ADJ
fumecheng-1292	568	20	bénard	bénard	ADJ
fumecheng-1292	568	21	convection	convection	NOUN
fumecheng-1292	568	22	,	,	PUNCT
fumecheng-1292	568	23	physics	physics	NOUN
fumecheng-1292	568	24	of	of	ADP
fumecheng-1292	568	25	fluids	fluid	NOUN
fumecheng-1292	568	26	,	,	PUNCT
fumecheng-1292	568	27	30(5	30(5	NUM
fumecheng-1292	568	28	)	)	PUNCT
fumecheng-1292	568	29	,	,	PUNCT
fumecheng-1292	568	30	pp	pp	ADJ
fumecheng-1292	568	31	.	.	PUNCT
fumecheng-1292	569	1	1561	1561	NUM
fumecheng-1292	569	2	-	-	SYM
fumecheng-1292	569	3	1564	1564	NUM
fumecheng-1292	569	4	.	.	PUNCT
fumecheng-1292	570	1	13	13	NUM
fumecheng-1292	570	2	.	.	X
fumecheng-1292	571	1	fröhlich	fröhlich	PROPN
fumecheng-1292	571	2	,	,	PUNCT
fumecheng-1292	571	3	j.	j.	PROPN
fumecheng-1292	571	4	,	,	PUNCT
fumecheng-1292	571	5	laure	laure	PROPN
fumecheng-1292	571	6	,	,	PUNCT
fumecheng-1292	571	7	p.	p.	PROPN
fumecheng-1292	571	8	,	,	PUNCT
fumecheng-1292	571	9	peyret	peyret	PROPN
fumecheng-1292	571	10	,	,	PUNCT
fumecheng-1292	571	11	r.	r.	PROPN
fumecheng-1292	571	12	,	,	PUNCT
fumecheng-1292	571	13	1992	1992	NUM
fumecheng-1292	571	14	,	,	PUNCT
fumecheng-1292	571	15	large	large	ADJ
fumecheng-1292	571	16	departures	departure	NOUN
fumecheng-1292	571	17	from	from	ADP
fumecheng-1292	571	18	boussinesq	boussinesq	ADJ
fumecheng-1292	571	19	approximation	approximation	NOUN
fumecheng-1292	571	20	in	in	ADP
fumecheng-1292	571	21	the	the	DET
fumecheng-1292	571	22	rayleigh	rayleigh	NOUN
fumecheng-1292	571	23	-	-	PUNCT
fumecheng-1292	571	24	bénard	bénard	PROPN
fumecheng-1292	571	25	problem	problem	NOUN
fumecheng-1292	571	26	,	,	PUNCT
fumecheng-1292	571	27	physics	physics	NOUN
fumecheng-1292	571	28	of	of	ADP
fumecheng-1292	571	29	fluids	fluid	NOUN
fumecheng-1292	571	30	a	a	DET
fumecheng-1292	571	31	,	,	PUNCT
fumecheng-1292	571	32	4(7	4(7	NUM
fumecheng-1292	571	33	)	)	PUNCT
fumecheng-1292	571	34	,	,	PUNCT
fumecheng-1292	571	35	pp	pp	ADP
fumecheng-1292	571	36	.	.	PUNCT
fumecheng-1292	571	37	1355	1355	NUM
fumecheng-1292	571	38	-	-	SYM
fumecheng-1292	571	39	1372	1372	NUM
fumecheng-1292	571	40	.	.	PUNCT
fumecheng-1292	572	1	14	14	NUM
fumecheng-1292	572	2	.	.	PUNCT
fumecheng-1292	573	1	severin	severin	PROPN
fumecheng-1292	573	2	,	,	PUNCT
fumecheng-1292	573	3	j.	j.	PROPN
fumecheng-1292	573	4	,	,	PUNCT
fumecheng-1292	573	5	herwig	herwig	PROPN
fumecheng-1292	573	6	,	,	PUNCT
fumecheng-1292	573	7	h.	h.	PROPN
fumecheng-1292	573	8	,	,	PUNCT
fumecheng-1292	573	9	2001	2001	NUM
fumecheng-1292	573	10	,	,	PUNCT
fumecheng-1292	573	11	onset	onset	NOUN
fumecheng-1292	573	12	of	of	ADP
fumecheng-1292	573	13	convection	convection	NOUN
fumecheng-1292	573	14	in	in	ADP
fumecheng-1292	573	15	the	the	DET
fumecheng-1292	573	16	rayleighbénard	rayleighbénard	NOUN
fumecheng-1292	573	17	flow	flow	NOUN
fumecheng-1292	573	18	under	under	ADP
fumecheng-1292	573	19	non	non	ADJ
fumecheng-1292	573	20	-	-	ADJ
fumecheng-1292	573	21	boussinesq	boussinesq	ADJ
fumecheng-1292	573	22	conditions	condition	NOUN
fumecheng-1292	573	23	:	:	PUNCT
fumecheng-1292	573	24	an	an	DET
fumecheng-1292	573	25	asymptotic	asymptotic	ADJ
fumecheng-1292	573	26	approach	approach	NOUN
fumecheng-1292	573	27	,	,	PUNCT
fumecheng-1292	573	28	forschung	forschung	VERB
fumecheng-1292	573	29	i	i	PROPN
fumecheng-1292	573	30	m	m	VERB
fumecheng-1292	573	31	ingenieurwesen	ingenieurwesen	ADJ
fumecheng-1292	573	32	,	,	PUNCT
fumecheng-1292	573	33	66(4	66(4	NUM
fumecheng-1292	573	34	)	)	PUNCT
fumecheng-1292	573	35	,	,	PUNCT
fumecheng-1292	573	36	pp	pp	ADP
fumecheng-1292	573	37	.	.	PUNCT
fumecheng-1292	574	1	185	185	NUM
fumecheng-1292	574	2	-	-	SYM
fumecheng-1292	574	3	191	191	NUM
fumecheng-1292	574	4	.	.	NOUN
fumecheng-1292	574	5	15	15	NUM
fumecheng-1292	574	6	.	.	PUNCT
fumecheng-1292	575	1	ayed	aye	VERB
fumecheng-1292	575	2	,	,	PUNCT
fumecheng-1292	575	3	s.	s.	PROPN
fumecheng-1292	575	4	,	,	PUNCT
fumecheng-1292	575	5	jovanović	jovanović	PROPN
fumecheng-1292	575	6	,	,	PUNCT
fumecheng-1292	575	7	m.	m.	NOUN
fumecheng-1292	575	8	,	,	PUNCT
fumecheng-1292	575	9	tomić	tomić	NOUN
fumecheng-1292	575	10	,	,	PUNCT
fumecheng-1292	575	11	m.	m.	NOUN
fumecheng-1292	575	12	,	,	PUNCT
fumecheng-1292	575	13	ilić	ilić	ADJ
fumecheng-1292	575	14	,	,	PUNCT
fumecheng-1292	575	15	g.	g.	PROPN
fumecheng-1292	575	16	,	,	PUNCT
fumecheng-1292	575	17	živković	živković	PROPN
fumecheng-1292	575	18	,	,	PUNCT
fumecheng-1292	575	19	p.	p.	NOUN
fumecheng-1292	575	20	,	,	PUNCT
fumecheng-1292	575	21	vukić	vukić	NOUN
fumecheng-1292	575	22	,	,	PUNCT
fumecheng-1292	575	23	m.	m.	NOUN
fumecheng-1292	575	24	,	,	PUNCT
fumecheng-1292	575	25	dobrnjac	dobrnjac	NOUN
fumecheng-1292	575	26	,	,	PUNCT
fumecheng-1292	575	27	m.	m.	NOUN
fumecheng-1292	575	28	,	,	PUNCT
fumecheng-1292	575	29	2015	2015	NUM
fumecheng-1292	575	30	,	,	PUNCT
fumecheng-1292	575	31	instability	instability	NOUN
fumecheng-1292	575	32	of	of	ADP
fumecheng-1292	575	33	rayleigh	rayleigh	NOUN
fumecheng-1292	575	34	-	-	PUNCT
fumecheng-1292	575	35	bénard	bénard	NOUN
fumecheng-1292	575	36	convection	convection	NOUN
fumecheng-1292	575	37	affected	affect	VERB
fumecheng-1292	575	38	by	by	ADP
fumecheng-1292	575	39	inclined	inclined	ADJ
fumecheng-1292	575	40	wall	wall	NOUN
fumecheng-1292	575	41	temperature	temperature	NOUN
fumecheng-1292	575	42	variation	variation	NOUN
fumecheng-1292	575	43	,	,	PUNCT
fumecheng-1292	575	44	proc	proc	NOUN
fumecheng-1292	575	45	.	.	PUNCT
fumecheng-1292	576	1	int	int	NOUN
fumecheng-1292	576	2	.	.	PUNCT
fumecheng-1292	576	3	conf	conf	PROPN
fumecheng-1292	576	4	.	.	PUNCT
fumecheng-1292	577	1	demi	demi	PROPN
fumecheng-1292	577	2	,	,	PUNCT
fumecheng-1292	577	3	banjaluka	banjaluka	NOUN
fumecheng-1292	577	4	,	,	PUNCT
fumecheng-1292	577	5	pp	pp	ADJ
fumecheng-1292	577	6	.	.	PUNCT
fumecheng-1292	578	1	397	397	NUM
fumecheng-1292	578	2	-	-	SYM
fumecheng-1292	578	3	402	402	NUM
fumecheng-1292	578	4	.	.	NOUN
fumecheng-1292	579	1	16	16	NUM
fumecheng-1292	579	2	.	.	PUNCT
fumecheng-1292	580	1	sharma	sharma	PROPN
fumecheng-1292	580	2	,	,	PUNCT
fumecheng-1292	580	3	a.k	a.k	PROPN
fumecheng-1292	580	4	.	.	PROPN
fumecheng-1292	580	5	,	,	PUNCT
fumecheng-1292	580	6	velusamy	velusamy	PROPN
fumecheng-1292	580	7	,	,	PUNCT
fumecheng-1292	580	8	k.	k.	PROPN
fumecheng-1292	580	9	,	,	PUNCT
fumecheng-1292	580	10	balaji	balaji	PROPN
fumecheng-1292	580	11	,	,	PUNCT
fumecheng-1292	580	12	c.	c.	PROPN
fumecheng-1292	580	13	,	,	PUNCT
fumecheng-1292	580	14	2008	2008	NUM
fumecheng-1292	580	15	,	,	PUNCT
fumecheng-1292	580	16	interaction	interaction	NOUN
fumecheng-1292	580	17	of	of	ADP
fumecheng-1292	580	18	turbulent	turbulent	ADJ
fumecheng-1292	580	19	natural	natural	ADJ
fumecheng-1292	580	20	convection	convection	NOUN
fumecheng-1292	580	21	and	and	CCONJ
fumecheng-1292	580	22	surface	surface	NOUN
fumecheng-1292	580	23	thermal	thermal	ADJ
fumecheng-1292	580	24	radiation	radiation	NOUN
fumecheng-1292	580	25	in	in	ADP
fumecheng-1292	580	26	inclined	inclined	ADJ
fumecheng-1292	580	27	square	square	ADJ
fumecheng-1292	580	28	enclosure	enclosure	NOUN
fumecheng-1292	580	29	,	,	PUNCT
fumecheng-1292	580	30	heat	heat	NOUN
fumecheng-1292	580	31	and	and	CCONJ
fumecheng-1292	580	32	mass	mass	NOUN
fumecheng-1292	580	33	transfer	transfer	NOUN
fumecheng-1292	580	34	,	,	PUNCT
fumecheng-1292	580	35	44(10	44(10	NOUN
fumecheng-1292	580	36	)	)	PUNCT
fumecheng-1292	580	37	,	,	PUNCT
fumecheng-1292	580	38	pp	pp	ADJ
fumecheng-1292	580	39	.	.	PUNCT
fumecheng-1292	581	1	1153	1153	NUM
fumecheng-1292	581	2	-	-	SYM
fumecheng-1292	581	3	1170	1170	NUM
fumecheng-1292	581	4	.	.	PUNCT
fumecheng-1292	582	1	17	17	NUM
fumecheng-1292	582	2	.	.	PUNCT
fumecheng-1292	583	1	crunkleton	crunkleton	PROPN
fumecheng-1292	583	2	,	,	PUNCT
fumecheng-1292	583	3	d.w	d.w	PROPN
fumecheng-1292	583	4	.	.	PROPN
fumecheng-1292	583	5	,	,	PUNCT
fumecheng-1292	583	6	anderson	anderson	PROPN
fumecheng-1292	583	7	,	,	PUNCT
fumecheng-1292	583	8	t.j	t.j	PROPN
fumecheng-1292	583	9	.	.	PROPN
fumecheng-1292	583	10	,	,	PUNCT
fumecheng-1292	583	11	2006	2006	NUM
fumecheng-1292	583	12	,	,	PUNCT
fumecheng-1292	583	13	numerical	numerical	ADJ
fumecheng-1292	583	14	study	study	NOUN
fumecheng-1292	583	15	of	of	ADP
fumecheng-1292	583	16	flow	flow	NOUN
fumecheng-1292	583	17	and	and	CCONJ
fumecheng-1292	583	18	thermal	thermal	ADJ
fumecheng-1292	583	19	convection	convection	NOUN
fumecheng-1292	583	20	,	,	PUNCT
fumecheng-1292	583	21	international	international	ADJ
fumecheng-1292	583	22	communications	communication	NOUN
fumecheng-1292	583	23	in	in	ADP
fumecheng-1292	583	24	heat	heat	NOUN
fumecheng-1292	583	25	and	and	CCONJ
fumecheng-1292	583	26	mass	mass	NOUN
fumecheng-1292	583	27	transfer	transfer	NOUN
fumecheng-1292	583	28	,	,	PUNCT
fumecheng-1292	583	29	33(1	33(1	NUM
fumecheng-1292	583	30	)	)	PUNCT
fumecheng-1292	583	31	,	,	PUNCT
fumecheng-1292	584	1	pp	pp	PROPN
fumecheng-1292	584	2	.	.	PUNCT
fumecheng-1292	585	1	24	24	NUM
fumecheng-1292	585	2	-	-	SYM
fumecheng-1292	585	3	29	29	NUM
fumecheng-1292	585	4	.	.	PUNCT
fumecheng-1292	586	1	18	18	NUM
fumecheng-1292	586	2	.	.	PUNCT
fumecheng-1292	587	1	beya	beya	PROPN
fumecheng-1292	587	2	,	,	PUNCT
fumecheng-1292	587	3	b.b	b.b	PROPN
fumecheng-1292	587	4	.	.	PROPN
fumecheng-1292	587	5	,	,	PUNCT
fumecheng-1292	587	6	lili	lili	PROPN
fumecheng-1292	587	7	,	,	PUNCT
fumecheng-1292	587	8	t.	t.	PROPN
fumecheng-1292	587	9	,	,	PUNCT
fumecheng-1292	587	10	2009	2009	NUM
fumecheng-1292	587	11	,	,	PUNCT
fumecheng-1292	587	12	transient	transient	ADJ
fumecheng-1292	587	13	natural	natural	ADJ
fumecheng-1292	587	14	convection	convection	NOUN
fumecheng-1292	587	15	in	in	ADP
fumecheng-1292	587	16	3d	3d	NUM
fumecheng-1292	587	17	tilted	tilt	VERB
fumecheng-1292	587	18	heated	heat	VERB
fumecheng-1292	587	19	from	from	ADP
fumecheng-1292	587	20	two	two	NUM
fumecheng-1292	587	21	opposite	opposite	ADJ
fumecheng-1292	587	22	sites	site	NOUN
fumecheng-1292	587	23	,	,	PUNCT
fumecheng-1292	587	24	international	international	ADJ
fumecheng-1292	587	25	communications	communication	NOUN
fumecheng-1292	587	26	in	in	ADP
fumecheng-1292	587	27	heat	heat	NOUN
fumecheng-1292	587	28	and	and	CCONJ
fumecheng-1292	587	29	mass	mass	NOUN
fumecheng-1292	587	30	transfer	transfer	NOUN
fumecheng-1292	587	31	,	,	PUNCT
fumecheng-1292	587	32	36(6	36(6	NUM
fumecheng-1292	587	33	)	)	PUNCT
fumecheng-1292	587	34	,	,	PUNCT
fumecheng-1292	587	35	pp	pp	ADP
fumecheng-1292	587	36	.	.	PUNCT
fumecheng-1292	588	1	604	604	NUM
fumecheng-1292	588	2	-	-	SYM
fumecheng-1292	588	3	613	613	NUM
fumecheng-1292	588	4	.	.	NOUN
fumecheng-1292	588	5	19	19	NUM
fumecheng-1292	588	6	.	.	PUNCT
fumecheng-1292	588	7	kleiser	kleiser	PROPN
fumecheng-1292	588	8	,	,	PUNCT
fumecheng-1292	588	9	l.	l.	PROPN
fumecheng-1292	588	10	,	,	PUNCT
fumecheng-1292	588	11	schumann	schumann	PROPN
fumecheng-1292	588	12	u.	u.	PROPN
fumecheng-1292	588	13	,	,	PUNCT
fumecheng-1292	588	14	1980	1980	NUM
fumecheng-1292	588	15	,	,	PUNCT
fumecheng-1292	588	16	treatment	treatment	NOUN
fumecheng-1292	588	17	of	of	ADP
fumecheng-1292	588	18	incompressibility	incompressibility	NOUN
fumecheng-1292	588	19	and	and	CCONJ
fumecheng-1292	588	20	boundary	boundary	ADJ
fumecheng-1292	588	21	conditions	condition	NOUN
fumecheng-1292	588	22	in	in	ADP
fumecheng-1292	588	23	3d	3d	PROPN
fumecheng-1292	588	24	numerical	numerical	PROPN
fumecheng-1292	588	25	spectral	spectral	PROPN
fumecheng-1292	588	26	simulation	simulation	NOUN
fumecheng-1292	588	27	of	of	ADP
fumecheng-1292	588	28	plane	plane	NOUN
fumecheng-1292	588	29	channel	channel	NOUN
fumecheng-1292	588	30	flows	flow	NOUN
fumecheng-1292	588	31	,	,	PUNCT
fumecheng-1292	588	32	proc	proc	NOUN
fumecheng-1292	588	33	.	.	PUNCT
fumecheng-1292	589	1	third	third	PROPN
fumecheng-1292	589	2	gamm	gamm	PROPN
fumecheng-1292	589	3	conference	conference	PROPN
fumecheng-1292	589	4	numerical	numerical	ADJ
fumecheng-1292	589	5	methods	method	NOUN
fumecheng-1292	589	6	in	in	ADP
fumecheng-1292	589	7	fluid	fluid	ADJ
fumecheng-1292	589	8	dynamics	dynamic	NOUN
fumecheng-1292	589	9	,	,	PUNCT
fumecheng-1292	589	10	vieweg	vieweg	NOUN
fumecheng-1292	589	11	,	,	PUNCT
fumecheng-1292	589	12	braunschweig	braunschweig	NOUN
fumecheng-1292	589	13	,	,	PUNCT
fumecheng-1292	589	14	pp	pp	PROPN
fumecheng-1292	589	15	.	.	PUNCT
fumecheng-1292	590	1	165	165	NUM
fumecheng-1292	590	2	-	-	SYM
fumecheng-1292	590	3	173	173	NUM
fumecheng-1292	590	4	.	.	NOUN
fumecheng-1292	591	1	20	20	NUM
fumecheng-1292	591	2	.	.	PUNCT
fumecheng-1292	591	3	pulicani	pulicani	PROPN
fumecheng-1292	591	4	,	,	PUNCT
fumecheng-1292	591	5	j.p	j.p	PROPN
fumecheng-1292	591	6	.	.	PROPN
fumecheng-1292	591	7	,	,	PUNCT
fumecheng-1292	591	8	1988	1988	NUM
fumecheng-1292	591	9	,	,	PUNCT
fumecheng-1292	591	10	a	a	DET
fumecheng-1292	591	11	spectral	spectral	ADJ
fumecheng-1292	591	12	multi	multi	ADJ
fumecheng-1292	591	13	-	-	ADJ
fumecheng-1292	591	14	domain	domain	ADJ
fumecheng-1292	591	15	method	method	NOUN
fumecheng-1292	591	16	for	for	ADP
fumecheng-1292	591	17	the	the	DET
fumecheng-1292	591	18	solution	solution	NOUN
fumecheng-1292	591	19	of	of	ADP
fumecheng-1292	591	20	1	1	NUM
fumecheng-1292	591	21	-	-	PUNCT
fumecheng-1292	591	22	d	d	NOUN
fumecheng-1292	591	23	helmholtz	helmholtz	NOUN
fumecheng-1292	591	24	and	and	CCONJ
fumecheng-1292	591	25	stokes	stoke	NOUN
fumecheng-1292	591	26	-	-	PUNCT
fumecheng-1292	591	27	type	type	NOUN
fumecheng-1292	591	28	equations	equation	NOUN
fumecheng-1292	591	29	,	,	PUNCT
fumecheng-1292	591	30	computers	computer	NOUN
fumecheng-1292	591	31	and	and	CCONJ
fumecheng-1292	591	32	fluids	fluid	NOUN
fumecheng-1292	591	33	,	,	PUNCT
fumecheng-1292	591	34	16(2	16(2	NUM
fumecheng-1292	591	35	)	)	PUNCT
fumecheng-1292	591	36	,	,	PUNCT
fumecheng-1292	591	37	pp	pp	PROPN
fumecheng-1292	591	38	.	.	PUNCT
fumecheng-1292	592	1	207	207	NUM
fumecheng-1292	592	2	-	-	SYM
fumecheng-1292	592	3	215	215	NUM
fumecheng-1292	592	4	.	.	PUNCT
fumecheng-1292	593	1	21	21	NUM
fumecheng-1292	593	2	.	.	PUNCT
fumecheng-1292	594	1	jovanović	jovanović	PROPN
fumecheng-1292	594	2	,	,	PUNCT
fumecheng-1292	594	3	m.	m.	NOUN
fumecheng-1292	594	4	,	,	PUNCT
fumecheng-1292	594	5	2009	2009	NUM
fumecheng-1292	594	6	,	,	PUNCT
fumecheng-1292	594	7	simulation	simulation	NOUN
fumecheng-1292	594	8	of	of	ADP
fumecheng-1292	594	9	temporal	temporal	ADJ
fumecheng-1292	594	10	hydrodynamic	hydrodynamic	ADJ
fumecheng-1292	594	11	instability	instability	NOUN
fumecheng-1292	594	12	in	in	ADP
fumecheng-1292	594	13	plane	plane	NOUN
fumecheng-1292	594	14	channel	channel	NOUN
fumecheng-1292	594	15	flow	flow	NOUN
fumecheng-1292	594	16	,	,	PUNCT
fumecheng-1292	594	17	proc	proc	NOUN
fumecheng-1292	594	18	.	.	PUNCT
fumecheng-1292	595	1	2nd	2nd	ADJ
fumecheng-1292	595	2	int	int	NOUN
fumecheng-1292	595	3	.	.	PUNCT
fumecheng-1292	596	1	congress	congress	PROPN
fumecheng-1292	596	2	of	of	ADP
fumecheng-1292	596	3	serbian	serbian	ADJ
fumecheng-1292	596	4	soc	soc	NOUN
fumecheng-1292	596	5	.	.	PUNCT
fumecheng-1292	597	1	of	of	ADP
fumecheng-1292	597	2	mechnics	mechnic	NOUN
fumecheng-1292	597	3	iconssm	iconssm	ADJ
fumecheng-1292	597	4	,	,	PUNCT
fumecheng-1292	597	5	palić	palić	NOUN
fumecheng-1292	597	6	,	,	PUNCT
fumecheng-1292	597	7	pp	pp	PROPN
fumecheng-1292	597	8	.	.	PUNCT
fumecheng-1292	597	9	b09	b09	PROPN
fumecheng-1292	597	10	-	-	PUNCT
fumecheng-1292	597	11	b23	b23	PROPN
fumecheng-1292	597	12	.	.	PUNCT
fumecheng-1292	598	1	22	22	NUM
fumecheng-1292	598	2	.	.	PUNCT
fumecheng-1292	599	1	clever	clever	PROPN
fumecheng-1292	599	2	,	,	PUNCT
fumecheng-1292	599	3	r.m	r.m	PROPN
fumecheng-1292	599	4	.	.	PROPN
fumecheng-1292	599	5	,	,	PUNCT
fumecheng-1292	599	6	busse	busse	PROPN
fumecheng-1292	599	7	f.h	f.h	PROPN
fumecheng-1292	599	8	.	.	PROPN
fumecheng-1292	599	9	,	,	PUNCT
fumecheng-1292	599	10	1974	1974	NUM
fumecheng-1292	599	11	,	,	PUNCT
fumecheng-1292	599	12	transition	transition	NOUN
fumecheng-1292	599	13	to	to	ADP
fumecheng-1292	599	14	time	time	NOUN
fumecheng-1292	599	15	dependant	dependant	ADJ
fumecheng-1292	599	16	convection	convection	NOUN
fumecheng-1292	599	17	,	,	PUNCT
fumecheng-1292	599	18	journal	journal	NOUN
fumecheng-1292	599	19	of	of	ADP
fumecheng-1292	599	20	fluid	fluid	ADJ
fumecheng-1292	599	21	mechanics	mechanic	NOUN
fumecheng-1292	599	22	,	,	PUNCT
fumecheng-1292	599	23	65(4	65(4	PROPN
fumecheng-1292	599	24	)	)	PUNCT
fumecheng-1292	599	25	,	,	PUNCT
fumecheng-1292	599	26	pp	pp	PROPN
fumecheng-1292	599	27	.	.	PUNCT
fumecheng-1292	600	1	625	625	NUM
fumecheng-1292	600	2	-	-	SYM
fumecheng-1292	600	3	645	645	NUM
fumecheng-1292	600	4	.	.	NOUN
fumecheng-1292	601	1	23	23	NUM
fumecheng-1292	601	2	.	.	PUNCT
fumecheng-1292	602	1	busse	busse	PROPN
fumecheng-1292	602	2	,	,	PUNCT
fumecheng-1292	602	3	f.h	f.h	PROPN
fumecheng-1292	602	4	.	.	PROPN
fumecheng-1292	602	5	,	,	PUNCT
fumecheng-1292	602	6	clever	clever	PROPN
fumecheng-1292	602	7	r.m	r.m	PROPN
fumecheng-1292	602	8	.	.	PROPN
fumecheng-1292	602	9	1979	1979	NUM
fumecheng-1292	602	10	,	,	PUNCT
fumecheng-1292	602	11	instability	instability	NOUN
fumecheng-1292	602	12	of	of	ADP
fumecheng-1292	602	13	convection	convection	NOUN
fumecheng-1292	602	14	rolls	roll	NOUN
fumecheng-1292	602	15	in	in	ADP
fumecheng-1292	602	16	a	a	DET
fumecheng-1292	602	17	fluid	fluid	NOUN
fumecheng-1292	602	18	of	of	ADP
fumecheng-1292	602	19	moderate	moderate	ADJ
fumecheng-1292	602	20	prandtl	prandtl	NOUN
fumecheng-1292	602	21	number	number	NOUN
fumecheng-1292	602	22	,	,	PUNCT
fumecheng-1292	602	23	journal	journal	NOUN
fumecheng-1292	602	24	of	of	ADP
fumecheng-1292	602	25	fluid	fluid	ADJ
fumecheng-1292	602	26	mechanics	mechanic	NOUN
fumecheng-1292	602	27	,	,	PUNCT
fumecheng-1292	602	28	91(2	91(2	NUM
fumecheng-1292	602	29	)	)	PUNCT
fumecheng-1292	602	30	,	,	PUNCT
fumecheng-1292	602	31	pp	pp	ADP
fumecheng-1292	602	32	.	.	PUNCT
fumecheng-1292	603	1	319	319	NUM
fumecheng-1292	603	2	-	-	SYM
fumecheng-1292	603	3	335	335	NUM
fumecheng-1292	603	4	.	.	PUNCT