id	sid	tid	token	lemma	pos
esrj-21263	1	1	slowness	slowness	PROPN
esrj-21263	1	2	surface	surface	NOUN
esrj-21263	1	3	calculation	calculation	NOUN
esrj-21263	1	4	for	for	ADP
esrj-21263	1	5	different	different	ADJ
esrj-21263	1	6	media	medium	NOUN
esrj-21263	1	7	using	use	VERB
esrj-21263	1	8	the	the	DET
esrj-21263	1	9	symbolic	symbolic	ADJ
esrj-21263	1	10	mathematics	mathematics	PROPN
esrj-21263	1	11	language	language	NOUN
esrj-21263	1	12	maple	maple	NOUN
esrj-21263	1	13	®	®	NOUN
esrj-21263	1	14	earth	earth	PROPN
esrj-21263	1	15	sciences	sciences	PROPN
esrj-21263	1	16	research	research	PROPN
esrj-21263	1	17	journal	journal	PROPN
esrj-21263	1	18	earth	earth	PROPN
esrj-21263	1	19	sci	sci	PROPN
esrj-21263	1	20	.	.	PUNCT
esrj-21263	2	1	res	res	PROPN
esrj-21263	2	2	.	.	PUNCT
esrj-21263	3	1	j.	j.	PROPN
esrj-21263	3	2	vol	vol	PROPN
esrj-21263	3	3	.	.	PROPN
esrj-21263	4	1	8	8	NUM
esrj-21263	4	2	,	,	PUNCT
esrj-21263	4	3	no	no	INTJ
esrj-21263	4	4	.	.	NOUN
esrj-21263	4	5	1	1	NUM
esrj-21263	4	6	(	(	PUNCT
esrj-21263	4	7	dec	dec	PROPN
esrj-21263	4	8	.	.	PROPN
esrj-21263	4	9	2004	2004	NUM
esrj-21263	4	10	)	)	PUNCT
esrj-21263	4	11	:	:	PUNCT
esrj-21263	4	12	63	63	NUM
esrj-21263	4	13	67	67	NUM
esrj-21263	4	14	manuscript	manuscript	NOUN
esrj-21263	4	15	received	receive	VERB
esrj-21263	4	16	july	july	PROPN
esrj-21263	4	17	2004	2004	NUM
esrj-21263	4	18	.	.	PUNCT
esrj-21263	5	1	63	63	NUM
esrj-21263	5	2	paper	paper	NOUN
esrj-21263	5	3	accepted	accept	VERB
esrj-21263	5	4	october	october	PROPN
esrj-21263	5	5	2004	2004	NUM
esrj-21263	5	6	.	.	PUNCT
esrj-21263	6	1	slowness	slowness	PROPN
esrj-21263	6	2	surface	surface	NOUN
esrj-21263	6	3	calculation	calculation	NOUN
esrj-21263	6	4	for	for	ADP
esrj-21263	6	5	different	different	ADJ
esrj-21263	6	6	media	medium	NOUN
esrj-21263	6	7	using	use	VERB
esrj-21263	6	8	the	the	DET
esrj-21263	6	9	symbolic	symbolic	ADJ
esrj-21263	6	10	mathematics	mathematics	PROPN
esrj-21263	6	11	language	language	NOUN
esrj-21263	6	12	maple	maple	NOUN
esrj-21263	6	13	®	®	NOUN
esrj-21263	6	14	miguel	miguel	PROPN
esrj-21263	6	15	duarte1	duarte1	PROPN
esrj-21263	6	16	,	,	PUNCT
esrj-21263	6	17	carlos	carlos	PROPN
esrj-21263	6	18	piedrahita1	piedrahita1	PROPN
esrj-21263	6	19	,	,	PUNCT
esrj-21263	6	20	trino	trino	PROPN
esrj-21263	6	21	salinas1	salinas1	PROPN
esrj-21263	6	22	,	,	PUNCT
esrj-21263	6	23	hernando	hernando	PROPN
esrj-21263	6	24	altamar	altamar	PROPN
esrj-21263	6	25	2	2	PROPN
esrj-21263	6	26	and	and	CCONJ
esrj-21263	6	27	karen	karen	PROPN
esrj-21263	6	28	pachano	pachano	VERB
esrj-21263	6	29	2	2	NUM
esrj-21263	6	30	1	1	NUM
esrj-21263	6	31	instituto	instituto	PROPN
esrj-21263	6	32	colombiano	colombiano	PROPN
esrj-21263	6	33	de	de	X
esrj-21263	6	34	petróleos	petróleos	PROPN
esrj-21263	6	35	,	,	PUNCT
esrj-21263	6	36	ecopetrol	ecopetrol	NOUN
esrj-21263	6	37	.	.	PUNCT
esrj-21263	7	1	piedecuesta	piedecuesta	PROPN
esrj-21263	7	2	–	–	PUNCT
esrj-21263	7	3	colombia	colombia	PROPN
esrj-21263	7	4	.	.	PUNCT
esrj-21263	8	1	e	e	X
esrj-21263	8	2	-	-	NOUN
esrj-21263	8	3	mail	mail	NOUN
esrj-21263	8	4	:	:	PUNCT
esrj-21263	8	5	mudarte@ecopetrol.com.co	mudarte@ecopetrol.com.co	NOUN
esrj-21263	8	6	;	;	PUNCT
esrj-21263	8	7	tsalinas@ecopetrol.com.co	tsalinas@ecopetrol.com.co	ADJ
esrj-21263	8	8	.	.	NOUN
esrj-21263	8	9	2	2	NUM
esrj-21263	8	10	universidad	universidad	PROPN
esrj-21263	8	11	industrial	industrial	PROPN
esrj-21263	8	12	de	de	X
esrj-21263	8	13	santander	santander	NOUN
esrj-21263	8	14	-uis	-uis	PROPN
esrj-21263	8	15	.	.	PUNCT
esrj-21263	9	1	bucaramangacolombia	bucaramangacolombia	NOUN
esrj-21263	9	2	abstract	abstract	ADV
esrj-21263	9	3	starting	start	VERB
esrj-21263	9	4	from	from	ADP
esrj-21263	9	5	the	the	DET
esrj-21263	9	6	equation	equation	NOUN
esrj-21263	9	7	in	in	ADP
esrj-21263	9	8	different	different	ADJ
esrj-21263	9	9	media	medium	NOUN
esrj-21263	9	10	,	,	PUNCT
esrj-21263	9	11	we	we	PRON
esrj-21263	9	12	obtain	obtain	VERB
esrj-21263	9	13	the	the	DET
esrj-21263	9	14	different	different	ADJ
esrj-21263	9	15	type	type	NOUN
esrj-21263	9	16	of	of	ADP
esrj-21263	9	17	waves	wave	NOUN
esrj-21263	9	18	that	that	PRON
esrj-21263	9	19	can	can	AUX
esrj-21263	9	20	exists	exist	VERB
esrj-21263	9	21	in	in	ADP
esrj-21263	9	22	such	such	ADJ
esrj-21263	9	23	media	medium	NOUN
esrj-21263	9	24	.	.	PUNCT
esrj-21263	10	1	the	the	DET
esrj-21263	10	2	evaluation	evaluation	NOUN
esrj-21263	10	3	of	of	ADP
esrj-21263	10	4	the	the	DET
esrj-21263	10	5	eigenvalues	eigenvalue	NOUN
esrj-21263	10	6	and	and	CCONJ
esrj-21263	10	7	eigenvectors	eigenvector	NOUN
esrj-21263	10	8	let	let	VERB
esrj-21263	10	9	us	we	PRON
esrj-21263	10	10	construct	construct	VERB
esrj-21263	10	11	the	the	DET
esrj-21263	10	12	slowness	slowness	NOUN
esrj-21263	10	13	surfaces	surface	NOUN
esrj-21263	10	14	.	.	PUNCT
esrj-21263	11	1	in	in	ADP
esrj-21263	11	2	general	general	ADJ
esrj-21263	11	3	complex	complex	ADJ
esrj-21263	11	4	calculations	calculation	NOUN
esrj-21263	11	5	case	case	NOUN
esrj-21263	11	6	have	have	VERB
esrj-21263	11	7	to	to	PART
esrj-21263	11	8	be	be	AUX
esrj-21263	11	9	made	make	VERB
esrj-21263	11	10	.	.	PUNCT
esrj-21263	12	1	in	in	ADP
esrj-21263	12	2	this	this	DET
esrj-21263	12	3	work	work	NOUN
esrj-21263	12	4	,	,	PUNCT
esrj-21263	12	5	routines	routine	NOUN
esrj-21263	12	6	were	be	AUX
esrj-21263	12	7	implemented	implement	VERB
esrj-21263	12	8	in	in	ADP
esrj-21263	12	9	the	the	DET
esrj-21263	12	10	symbolic	symbolic	ADJ
esrj-21263	12	11	language	language	NOUN
esrj-21263	12	12	maple	maple	NOUN
esrj-21263	12	13	®	®	NOUN
esrj-21263	12	14	and	and	CCONJ
esrj-21263	12	15	the	the	DET
esrj-21263	12	16	slowness	slowness	NOUN
esrj-21263	12	17	surfaces	surface	NOUN
esrj-21263	12	18	were	be	AUX
esrj-21263	12	19	plotted	plot	VERB
esrj-21263	12	20	.	.	PUNCT
esrj-21263	13	1	this	this	DET
esrj-21263	13	2	work	work	NOUN
esrj-21263	13	3	is	be	AUX
esrj-21263	13	4	relevant	relevant	ADJ
esrj-21263	13	5	for	for	ADP
esrj-21263	13	6	the	the	DET
esrj-21263	13	7	modelling	modelling	NOUN
esrj-21263	13	8	of	of	ADP
esrj-21263	13	9	equivalent	equivalent	ADJ
esrj-21263	13	10	media	medium	NOUN
esrj-21263	13	11	that	that	PRON
esrj-21263	13	12	simulates	simulate	VERB
esrj-21263	13	13	natural	natural	ADJ
esrj-21263	13	14	fractured	fractured	ADJ
esrj-21263	13	15	reservoirs	reservoir	NOUN
esrj-21263	13	16	,	,	PUNCT
esrj-21263	13	17	like	like	ADP
esrj-21263	13	18	those	those	PRON
esrj-21263	13	19	common	common	ADJ
esrj-21263	13	20	in	in	ADP
esrj-21263	13	21	the	the	DET
esrj-21263	13	22	colombian	colombian	ADJ
esrj-21263	13	23	foothills	foothills	PROPN
esrj-21263	13	24	.	.	PUNCT
esrj-21263	14	1	it	it	PRON
esrj-21263	14	2	is	be	AUX
esrj-21263	14	3	important	important	ADJ
esrj-21263	14	4	to	to	PART
esrj-21263	14	5	understand	understand	VERB
esrj-21263	14	6	the	the	DET
esrj-21263	14	7	seismic	seismic	ADJ
esrj-21263	14	8	response	response	NOUN
esrj-21263	14	9	of	of	ADP
esrj-21263	14	10	this	this	DET
esrj-21263	14	11	reservoirs	reservoir	NOUN
esrj-21263	14	12	for	for	ADP
esrj-21263	14	13	exploration	exploration	NOUN
esrj-21263	14	14	of	of	ADP
esrj-21263	14	15	this	this	DET
esrj-21263	14	16	areas	area	NOUN
esrj-21263	14	17	.	.	PUNCT
esrj-21263	15	1	key	key	ADJ
esrj-21263	15	2	words	word	NOUN
esrj-21263	15	3	:	:	PUNCT
esrj-21263	15	4	christoffel	christoffel	ADJ
esrj-21263	15	5	matrices	matrix	NOUN
esrj-21263	15	6	,	,	PUNCT
esrj-21263	15	7	slowness	slowness	NOUN
esrj-21263	15	8	vector	vector	NOUN
esrj-21263	15	9	,	,	PUNCT
esrj-21263	15	10	cubic	cubic	ADJ
esrj-21263	15	11	symmetry	symmetry	NOUN
esrj-21263	15	12	,	,	PUNCT
esrj-21263	15	13	hexagonal	hexagonal	ADJ
esrj-21263	15	14	symmetry	symmetry	NOUN
esrj-21263	15	15	,	,	PUNCT
esrj-21263	15	16	isotropic	isotropic	NOUN
esrj-21263	15	17	,	,	PUNCT
esrj-21263	15	18	symmetry	symmetry	NOUN
esrj-21263	15	19	,	,	PUNCT
esrj-21263	15	20	slowness	slowness	NOUN
esrj-21263	15	21	surfaces	surface	NOUN
esrj-21263	15	22	,	,	PUNCT
esrj-21263	15	23	eigenvalues	eigenvalue	NOUN
esrj-21263	15	24	,	,	PUNCT
esrj-21263	15	25	eigenvectors	eigenvector	NOUN
esrj-21263	15	26	resumen	resumen	VERB
esrj-21263	15	27	partiendo	partiendo	PROPN
esrj-21263	15	28	de	de	X
esrj-21263	15	29	la	la	PROPN
esrj-21263	15	30	ecuación	ecuación	ADJ
esrj-21263	15	31	en	en	X
esrj-21263	15	32	diferentes	diferente	NOUN
esrj-21263	15	33	medios	medio	NOUN
esrj-21263	15	34	,	,	PUNCT
esrj-21263	15	35	obtenemos	obtenemos	PROPN
esrj-21263	15	36	los	los	PROPN
esrj-21263	15	37	diferentes	diferentes	PROPN
esrj-21263	15	38	tipos	tipos	PROPN
esrj-21263	15	39	de	de	PROPN
esrj-21263	15	40	ondas	ondas	PROPN
esrj-21263	15	41	que	que	PROPN
esrj-21263	15	42	pueden	pueden	X
esrj-21263	15	43	existir	existir	X
esrj-21263	15	44	en	en	PROPN
esrj-21263	15	45	tales	tale	NOUN
esrj-21263	15	46	medios	medio	NOUN
esrj-21263	15	47	.	.	PUNCT
esrj-21263	16	1	la	la	PROPN
esrj-21263	16	2	evaluación	evaluación	PROPN
esrj-21263	16	3	de	de	PROPN
esrj-21263	16	4	los	los	PROPN
esrj-21263	16	5	valores	valores	PROPN
esrj-21263	16	6	propios	propios	PROPN
esrj-21263	16	7	y	y	PROPN
esrj-21263	16	8	los	los	PROPN
esrj-21263	16	9	vectores	vectore	NOUN
esrj-21263	16	10	propios	propios	PROPN
esrj-21263	16	11	permite	permite	PROPN
esrj-21263	16	12	construir	construir	PROPN
esrj-21263	16	13	las	las	PROPN
esrj-21263	16	14	superficies	superficies	PROPN
esrj-21263	16	15	de	de	X
esrj-21263	16	16	lentitud	lentitud	PROPN
esrj-21263	16	17	.	.	PUNCT
esrj-21263	17	1	en	en	PROPN
esrj-21263	17	2	general	general	ADJ
esrj-21263	17	3	,	,	PUNCT
esrj-21263	17	4	es	es	PROPN
esrj-21263	17	5	necesario	necesario	PROPN
esrj-21263	17	6	hacer	hacer	PROPN
esrj-21263	17	7	complejos	complejos	PROPN
esrj-21263	17	8	casos	casos	PROPN
esrj-21263	17	9	de	de	X
esrj-21263	17	10	cálculos	cálculos	PROPN
esrj-21263	17	11	.	.	PUNCT
esrj-21263	18	1	en	en	ADP
esrj-21263	18	2	este	este	X
esrj-21263	18	3	trabajo	trabajo	PROPN
esrj-21263	18	4	se	se	PROPN
esrj-21263	18	5	implementaron	implementaron	PROPN
esrj-21263	18	6	algunas	algunas	PROPN
esrj-21263	18	7	rutinas	rutinas	PROPN
esrj-21263	18	8	en	en	PROPN
esrj-21263	18	9	el	el	PROPN
esrj-21263	18	10	lenguaje	lenguaje	PROPN
esrj-21263	18	11	simbólico	simbólico	PROPN
esrj-21263	18	12	maple	maple	NOUN
esrj-21263	18	13	®	®	PROPN
esrj-21263	18	14	y	y	PROPN
esrj-21263	18	15	se	se	PROPN
esrj-21263	18	16	señalaron	señalaron	PROPN
esrj-21263	18	17	las	las	PROPN
esrj-21263	18	18	superficies	superficies	PROPN
esrj-21263	18	19	de	de	X
esrj-21263	18	20	lentitud	lentitud	PROPN
esrj-21263	18	21	este	este	PROPN
esrj-21263	18	22	trabajo	trabajo	PROPN
esrj-21263	18	23	es	es	X
esrj-21263	18	24	pertinente	pertinente	PROPN
esrj-21263	18	25	para	para	PROPN
esrj-21263	18	26	el	el	PROPN
esrj-21263	18	27	modelado	modelado	PROPN
esrj-21263	18	28	de	de	X
esrj-21263	18	29	medios	medios	X
esrj-21263	18	30	equivalentes	equivalente	VERB
esrj-21263	18	31	que	que	PROPN
esrj-21263	18	32	simulan	simulan	PROPN
esrj-21263	18	33	los	los	PROPN
esrj-21263	18	34	depósitos	depósitos	PROPN
esrj-21263	18	35	fracturados	fracturados	PROPN
esrj-21263	18	36	naturales	naturale	NOUN
esrj-21263	18	37	,	,	PUNCT
esrj-21263	18	38	como	como	PROPN
esrj-21263	18	39	los	los	PROPN
esrj-21263	18	40	que	que	PROPN
esrj-21263	18	41	aparecen	aparecen	PROPN
esrj-21263	18	42	en	en	PROPN
esrj-21263	18	43	las	las	PROPN
esrj-21263	18	44	zonas	zonas	PROPN
esrj-21263	18	45	de	de	ADP
esrj-21263	18	46	piedemonte	piedemonte	PROPN
esrj-21263	18	47	colombianos	colombianos	PROPN
esrj-21263	18	48	.	.	PUNCT
esrj-21263	19	1	es	es	PROPN
esrj-21263	19	2	importante	importante	PROPN
esrj-21263	19	3	entender	entender	PROPN
esrj-21263	19	4	la	la	PROPN
esrj-21263	19	5	reacción	reacción	PROPN
esrj-21263	19	6	sísmica	sísmica	PROPN
esrj-21263	19	7	de	de	PROPN
esrj-21263	19	8	estos	estos	PROPN
esrj-21263	19	9	depósitos	depósitos	PROPN
esrj-21263	19	10	para	para	PROPN
esrj-21263	19	11	la	la	PROPN
esrj-21263	19	12	exploración	exploración	PROPN
esrj-21263	19	13	de	de	X
esrj-21263	19	14	estas	estas	X
esrj-21263	19	15	áreas	áreas	X
esrj-21263	19	16	.	.	PUNCT
esrj-21263	20	1	palabras	palabras	PROPN
esrj-21263	20	2	clave	clave	PROPN
esrj-21263	20	3	:	:	PUNCT
esrj-21263	20	4	isotropía	isotropía	NOUN
esrj-21263	20	5	,	,	PUNCT
esrj-21263	20	6	matriz	matriz	PROPN
esrj-21263	20	7	de	de	X
esrj-21263	20	8	christoffel	christoffel	PROPN
esrj-21263	20	9	,	,	PUNCT
esrj-21263	20	10	simetría	simetría	PROPN
esrj-21263	20	11	cúbica	cúbica	PROPN
esrj-21263	20	12	,	,	PUNCT
esrj-21263	20	13	simetría	simetría	NOUN
esrj-21263	20	14	hexagonal	hexagonal	ADJ
esrj-21263	20	15	,	,	PUNCT
esrj-21263	20	16	superficies	superficie	NOUN
esrj-21263	20	17	de	de	X
esrj-21263	20	18	lentitud	lentitud	PROPN
esrj-21263	20	19	,	,	PUNCT
esrj-21263	20	20	valores	valore	NOUN
esrj-21263	20	21	propios	propio	NOUN
esrj-21263	20	22	,	,	PUNCT
esrj-21263	20	23	vectores	vectore	NOUN
esrj-21263	20	24	propios	propio	NOUN
esrj-21263	20	25	,	,	PUNCT
esrj-21263	20	26	vector	vector	NOUN
esrj-21263	20	27	de	de	X
esrj-21263	20	28	lentitud	lentitud	NOUN
esrj-21263	20	29	.	.	PUNCT
esrj-21263	21	1	©	©	PROPN
esrj-21263	21	2	2004	2004	NUM
esrj-21263	21	3	esrj	esrj	NOUN
esrj-21263	21	4	-unibiblos	-unibiblos	PROPN
esrj-21263	21	5	.	.	PUNCT
esrj-21263	22	1	miguel	miguel	PROPN
esrj-21263	22	2	duarte	duarte	PROPN
esrj-21263	22	3	et	et	PROPN
esrj-21263	22	4	al	al	PROPN
esrj-21263	22	5	.	.	PROPN
esrj-21263	22	6	methodology	methodology	NOUN
esrj-21263	22	7	this	this	DET
esrj-21263	22	8	work	work	NOUN
esrj-21263	22	9	was	be	AUX
esrj-21263	22	10	developed	develop	VERB
esrj-21263	22	11	entirely	entirely	ADV
esrj-21263	22	12	in	in	ADP
esrj-21263	22	13	the	the	DET
esrj-21263	22	14	field	field	NOUN
esrj-21263	22	15	of	of	ADP
esrj-21263	22	16	the	the	DET
esrj-21263	22	17	linear	linear	PROPN
esrj-21263	22	18	theory	theory	NOUN
esrj-21263	22	19	of	of	ADP
esrj-21263	22	20	elasticity	elasticity	NOUN
esrj-21263	22	21	.	.	PUNCT
esrj-21263	23	1	for	for	ADP
esrj-21263	23	2	homogeneous	homogeneous	ADJ
esrj-21263	23	3	media	medium	NOUN
esrj-21263	23	4	the	the	DET
esrj-21263	23	5	solution	solution	NOUN
esrj-21263	23	6	of	of	ADP
esrj-21263	23	7	the	the	DET
esrj-21263	23	8	general	general	ADJ
esrj-21263	23	9	elastodynamic	elastodynamic	ADJ
esrj-21263	23	10	equation	equation	NOUN
esrj-21263	23	11	reduces	reduce	VERB
esrj-21263	23	12	to	to	ADP
esrj-21263	23	13	the	the	DET
esrj-21263	23	14	solution	solution	NOUN
esrj-21263	23	15	of	of	ADP
esrj-21263	23	16	the	the	DET
esrj-21263	23	17	christoffel	christoffel	ADJ
esrj-21263	23	18	matrix	matrix	NOUN
esrj-21263	23	19	eigenvalues	eigenvalue	VERB
esrj-21263	23	20	problem	problem	NOUN
esrj-21263	23	21	.	.	PUNCT
esrj-21263	24	1	the	the	DET
esrj-21263	24	2	christoffel	christoffel	ADJ
esrj-21263	24	3	equation	equation	NOUN
esrj-21263	24	4	is	be	AUX
esrj-21263	24	5	solved	solve	VERB
esrj-21263	24	6	numerically	numerically	ADV
esrj-21263	24	7	using	use	VERB
esrj-21263	24	8	the	the	DET
esrj-21263	24	9	symbolic	symbolic	ADJ
esrj-21263	24	10	mathematics	mathematics	PROPN
esrj-21263	24	11	programming	programming	NOUN
esrj-21263	24	12	language	language	NOUN
esrj-21263	24	13	maple	maple	NOUN
esrj-21263	24	14	®	®	NOUN
esrj-21263	24	15	.	.	PUNCT
esrj-21263	25	1	the	the	DET
esrj-21263	25	2	phase	phase	NOUN
esrj-21263	25	3	velocity	velocity	NOUN
esrj-21263	25	4	is	be	AUX
esrj-21263	25	5	obtained	obtain	VERB
esrj-21263	25	6	as	as	ADP
esrj-21263	25	7	a	a	DET
esrj-21263	25	8	function	function	NOUN
esrj-21263	25	9	of	of	ADP
esrj-21263	25	10	the	the	DET
esrj-21263	25	11	anisotropic	anisotropic	NOUN
esrj-21263	25	12	parameters	parameter	NOUN
esrj-21263	25	13	and	and	CCONJ
esrj-21263	25	14	the	the	DET
esrj-21263	25	15	propagation	propagation	NOUN
esrj-21263	25	16	direction	direction	NOUN
esrj-21263	25	17	.	.	PUNCT
esrj-21263	26	1	the	the	DET
esrj-21263	26	2	phase	phase	NOUN
esrj-21263	26	3	velocity	velocity	NOUN
esrj-21263	26	4	1	1	NUM
esrj-21263	26	5	/	/	SYM
esrj-21263	26	6	v	v	NOUN
esrj-21263	26	7	is	be	AUX
esrj-21263	26	8	used	use	VERB
esrj-21263	26	9	to	to	PART
esrj-21263	26	10	obtain	obtain	VERB
esrj-21263	26	11	the	the	DET
esrj-21263	26	12	slowness	slowness	NOUN
esrj-21263	26	13	,	,	PUNCT
esrj-21263	26	14	which	which	PRON
esrj-21263	26	15	is	be	AUX
esrj-21263	26	16	plotted	plot	VERB
esrj-21263	26	17	using	use	VERB
esrj-21263	26	18	the	the	DET
esrj-21263	26	19	standard	standard	ADJ
esrj-21263	26	20	plotting	plot	VERB
esrj-21263	26	21	maple	maple	NOUN
esrj-21263	26	22	function	function	NOUN
esrj-21263	26	23	in	in	ADP
esrj-21263	26	24	polar	polar	ADJ
esrj-21263	26	25	coordinates	coordinate	NOUN
esrj-21263	26	26	.	.	PUNCT
esrj-21263	27	1	the	the	DET
esrj-21263	27	2	resulting	result	VERB
esrj-21263	27	3	graphic	graphic	NOUN
esrj-21263	27	4	shows	show	VERB
esrj-21263	27	5	the	the	DET
esrj-21263	27	6	relation	relation	NOUN
esrj-21263	27	7	between	between	ADP
esrj-21263	27	8	the	the	DET
esrj-21263	27	9	slowness	slowness	NOUN
esrj-21263	27	10	vector	vector	NOUN
esrj-21263	27	11	and	and	CCONJ
esrj-21263	27	12	the	the	DET
esrj-21263	27	13	propagation	propagation	NOUN
esrj-21263	27	14	angle	angle	NOUN
esrj-21263	27	15	.	.	PUNCT
esrj-21263	28	1	formulation	formulation	NOUN
esrj-21263	28	2	of	of	ADP
esrj-21263	28	3	the	the	DET
esrj-21263	28	4	problem	problem	NOUN
esrj-21263	28	5	and	and	CCONJ
esrj-21263	28	6	results	result	VERB
esrj-21263	28	7	theory	theory	NOUN
esrj-21263	28	8	research	research	NOUN
esrj-21263	28	9	–	–	PUNCT
esrj-21263	28	10	fundamentals	fundamental	VERB
esrj-21263	28	11	the	the	DET
esrj-21263	28	12	deformation	deformation	NOUN
esrj-21263	28	13	laws	law	NOUN
esrj-21263	28	14	for	for	ADP
esrj-21263	28	15	a	a	DET
esrj-21263	28	16	linear	linear	ADJ
esrj-21263	28	17	elastic	elastic	ADJ
esrj-21263	28	18	body	body	NOUN
esrj-21263	28	19	are	be	AUX
esrj-21263	28	20	determined	determine	VERB
esrj-21263	28	21	by	by	ADP
esrj-21263	28	22	the	the	DET
esrj-21263	28	23	linear	linear	ADJ
esrj-21263	28	24	momentum	momentum	NOUN
esrj-21263	28	25	equation	equation	NOUN
esrj-21263	28	26	(	(	PUNCT
esrj-21263	28	27	1	1	NUM
esrj-21263	28	28	)	)	PUNCT
esrj-21263	28	29	,	,	PUNCT
esrj-21263	28	30	the	the	DET
esrj-21263	28	31	constitutive	constitutive	ADJ
esrj-21263	28	32	equation	equation	NOUN
esrj-21263	28	33	or	or	CCONJ
esrj-21263	28	34	the	the	DET
esrj-21263	28	35	hooke	hooke	PROPN
esrj-21263	28	36	’s	’s	PART
esrj-21263	28	37	law	law	NOUN
esrj-21263	28	38	(	(	PUNCT
esrj-21263	28	39	2	2	NUM
esrj-21263	28	40	)	)	PUNCT
esrj-21263	28	41	and	and	CCONJ
esrj-21263	28	42	the	the	DET
esrj-21263	28	43	small	small	ADJ
esrj-21263	28	44	strain	strain	NOUN
esrj-21263	28	45	–	–	PUNCT
esrj-21263	28	46	displacement	displacement	ADJ
esrj-21263	28	47	linear	linear	NOUN
esrj-21263	28	48	relation	relation	NOUN
esrj-21263	28	49	(	(	PUNCT
esrj-21263	28	50	3	3	NUM
esrj-21263	28	51	)	)	PUNCT
esrj-21263	28	52	(	(	PUNCT
esrj-21263	28	53	sen	sen	PROPN
esrj-21263	28	54	,	,	PUNCT
esrj-21263	28	55	2002	2002	NUM
esrj-21263	28	56	)	)	PUNCT
esrj-21263	28	57	,	,	PUNCT
esrj-21263	28	58	(	(	PUNCT
esrj-21263	28	59	krishnaswamy	krishnaswamy	NOUN
esrj-21263	28	60	,	,	PUNCT
esrj-21263	28	61	2004	2004	NUM
esrj-21263	28	62	)	)	PUNCT
esrj-21263	28	63	,	,	PUNCT
esrj-21263	28	64	(	(	PUNCT
esrj-21263	28	65	pšenčík	pšenčík	NOUN
esrj-21263	28	66	,	,	PUNCT
esrj-21263	28	67	1994	1994	NUM
esrj-21263	28	68	):	):	PUNCT
esrj-21263	29	1	2	2	NUM
esrj-21263	29	2	ij	ij	NOUN
esrj-21263	29	3	i	i	PRON
esrj-21263	29	4	j	j	PROPN
esrj-21263	29	5	uu	uu	INTJ
esrj-21263	29	6	x	x	X
esrj-21263	29	7	t	t	PROPN
esrj-21263	29	8	τ	τ	PROPN
esrj-21263	29	9	τ	τ	PROPN
esrj-21263	29	10	ρ	ρ	PROPN
esrj-21263	29	11	ρ	ρ	PROPN
esrj-21263	29	12	∂	∂	NUM
esrj-21263	29	13	∂	∂	NUM
esrj-21263	29	14	∇	∇	X
esrj-21263	29	15	⋅	⋅	X
esrj-21263	29	16	=	=	SYM
esrj-21263	29	17	↔	↔	PROPN
esrj-21263	29	18	=	=	SYM
esrj-21263	29	19	∂	∂	NUM
esrj-21263	29	20	∂	∂	NUM
esrj-21263	29	21	&	&	CCONJ
esrj-21263	29	22	&	&	CCONJ
esrj-21263	29	23	(	(	PUNCT
esrj-21263	29	24	1	1	NUM
esrj-21263	29	25	)	)	PUNCT
esrj-21263	29	26	,	,	PUNCT
esrj-21263	29	27	:	:	PUNCT
esrj-21263	29	28	ij	ij	INTJ
esrj-21263	29	29	ijkl	ijkl	PROPN
esrj-21263	29	30	klc	klc	PROPN
esrj-21263	29	31	cτ	cτ	PROPN
esrj-21263	29	32	ε	ε	PROPN
esrj-21263	29	33	τ	τ	X
esrj-21263	29	34	ε=	ε=	ADV
esrj-21263	29	35	↔	↔	PROPN
esrj-21263	29	36	=	=	SYM
esrj-21263	29	37	(	(	PUNCT
esrj-21263	29	38	2	2	NUM
esrj-21263	29	39	)	)	PUNCT
esrj-21263	29	40	,	,	PUNCT
esrj-21263	29	41	(	(	PUNCT
esrj-21263	29	42	)	)	SYM
esrj-21263	29	43	1	1	NUM
esrj-21263	29	44	1	1	NUM
esrj-21263	29	45	2	2	NUM
esrj-21263	29	46	2	2	NUM
esrj-21263	29	47	k	k	NOUN
esrj-21263	29	48	l	l	NOUN
esrj-21263	29	49	kl	kl	X
esrj-21263	30	1	l	l	PROPN
esrj-21263	30	2	k	k	X
esrj-21263	30	3	u	u	X
esrj-21263	30	4	uu	uu	PRON
esrj-21263	30	5	u	u	NOUN
esrj-21263	30	6	x	x	X
esrj-21263	30	7	x	x	X
esrj-21263	30	8	ε	ε	PROPN
esrj-21263	30	9	ε	ε	PROPN
esrj-21263	30	10	⎛	⎛	NOUN
esrj-21263	30	11	⎞∂	⎞∂	NOUN
esrj-21263	30	12	∂	∂	NUM
esrj-21263	30	13	=	=	SYM
esrj-21263	30	14	∇	∇	X
esrj-21263	30	15	+	+	X
esrj-21263	30	16	∇	∇	X
esrj-21263	30	17	↔	↔	PROPN
esrj-21263	30	18	=	=	PUNCT
esrj-21263	30	19	+	+	ADJ
esrj-21263	30	20	⎜	⎜	ADJ
esrj-21263	30	21	⎟∂	⎟∂	PROPN
esrj-21263	30	22	∂⎝	∂⎝	ADJ
esrj-21263	30	23	⎠	⎠	NOUN
esrj-21263	30	24	(	(	PUNCT
esrj-21263	30	25	3	3	NUM
esrj-21263	30	26	)	)	PUNCT
esrj-21263	30	27	.	.	PUNCT
esrj-21263	31	1	where	where	SCONJ
esrj-21263	31	2	:	:	PUNCT
esrj-21263	31	3	τ	τ	PROPN
esrj-21263	31	4	is	be	AUX
esrj-21263	31	5	second	second	ADJ
esrj-21263	31	6	order	order	NOUN
esrj-21263	31	7	stress	stress	NOUN
esrj-21263	31	8	tensor	tensor	NOUN
esrj-21263	31	9	,	,	PUNCT
esrj-21263	31	10	ρ	ρ	PROPN
esrj-21263	31	11	is	be	AUX
esrj-21263	31	12	density	density	NOUN
esrj-21263	31	13	u	u	NOUN
esrj-21263	31	14	is	be	AUX
esrj-21263	31	15	displacement	displacement	ADJ
esrj-21263	31	16	vector	vector	NOUN
esrj-21263	31	17	c	c	NOUN
esrj-21263	31	18	is	be	AUX
esrj-21263	31	19	fourth	fourth	ADJ
esrj-21263	31	20	order	order	NOUN
esrj-21263	31	21	elasticity	elasticity	NOUN
esrj-21263	31	22	tensor	tensor	NOUN
esrj-21263	31	23	or	or	CCONJ
esrj-21263	31	24	stiffness	stiffness	ADJ
esrj-21263	31	25	tensor	tensor	NOUN
esrj-21263	31	26	ε	ε	PROPN
esrj-21263	31	27	is	be	AUX
esrj-21263	31	28	second	second	ADJ
esrj-21263	31	29	order	order	NOUN
esrj-21263	31	30	linearized	linearize	VERB
esrj-21263	31	31	finite	finite	ADJ
esrj-21263	31	32	strain	strain	NOUN
esrj-21263	31	33	tensor	tensor	NOUN
esrj-21263	31	34	or	or	CCONJ
esrj-21263	31	35	tensor	tensor	NOUN
esrj-21263	31	36	of	of	ADP
esrj-21263	31	37	small	small	ADJ
esrj-21263	31	38	strain	strain	NOUN
esrj-21263	31	39	,	,	PUNCT
esrj-21263	31	40	,	,	PUNCT
esrj-21263	32	1	i	i	PRON
esrj-21263	32	2	j	j	PROPN
esrj-21263	33	1	kx	kx	X
esrj-21263	33	2	x	x	PUNCT
esrj-21263	33	3	x	x	X
esrj-21263	33	4	–	–	PUNCT
esrj-21263	33	5	cartesian	cartesian	ADJ
esrj-21263	33	6	coordinates	coordinate	NOUN
esrj-21263	33	7	.	.	PUNCT
esrj-21263	34	1	strain	strain	NOUN
esrj-21263	34	2	and	and	CCONJ
esrj-21263	34	3	stress	stress	NOUN
esrj-21263	34	4	tensor	tensor	NOUN
esrj-21263	34	5	are	be	AUX
esrj-21263	34	6	symmetric	symmetric	ADJ
esrj-21263	34	7	.	.	PUNCT
esrj-21263	35	1	this	this	DET
esrj-21263	35	2	assumption	assumption	NOUN
esrj-21263	35	3	leads	lead	VERB
esrj-21263	35	4	us	we	PRON
esrj-21263	35	5	to	to	ADP
esrj-21263	35	6	a	a	DET
esrj-21263	35	7	contracted	contract	VERB
esrj-21263	35	8	form	form	NOUN
esrj-21263	35	9	of	of	ADP
esrj-21263	35	10	the	the	DET
esrj-21263	35	11	above	above	ADJ
esrj-21263	35	12	equations	equation	NOUN
esrj-21263	35	13	,	,	PUNCT
esrj-21263	35	14	the	the	DET
esrj-21263	35	15	voigt	voigt	PROPN
esrj-21263	35	16	notation	notation	NOUN
esrj-21263	35	17	.	.	PUNCT
esrj-21263	36	1	equation	equation	NOUN
esrj-21263	36	2	(	(	PUNCT
esrj-21263	36	3	3	3	X
esrj-21263	36	4	)	)	PUNCT
esrj-21263	36	5	defines	define	VERB
esrj-21263	36	6	6	6	NUM
esrj-21263	36	7	different	different	ADJ
esrj-21263	36	8	equations	equation	NOUN
esrj-21263	36	9	for	for	ADP
esrj-21263	36	10	only	only	ADV
esrj-21263	36	11	three	three	NUM
esrj-21263	36	12	components	component	NOUN
esrj-21263	36	13	of	of	ADP
esrj-21263	36	14	the	the	DET
esrj-21263	36	15	displacement	displacement	ADJ
esrj-21263	36	16	vector	vector	NOUN
esrj-21263	36	17	ui	ui	NOUN
esrj-21263	36	18	,	,	PUNCT
esrj-21263	36	19	therefore	therefore	ADV
esrj-21263	36	20	some	some	DET
esrj-21263	36	21	other	other	ADJ
esrj-21263	36	22	conditions	condition	NOUN
esrj-21263	36	23	(	(	PUNCT
esrj-21263	36	24	4	4	X
esrj-21263	36	25	)	)	PUNCT
esrj-21263	36	26	need	need	VERB
esrj-21263	36	27	to	to	PART
esrj-21263	36	28	be	be	AUX
esrj-21263	36	29	imposed	impose	VERB
esrj-21263	36	30	over	over	ADP
esrj-21263	36	31	the	the	DET
esrj-21263	36	32	small	small	ADJ
esrj-21263	36	33	strain	strain	NOUN
esrj-21263	36	34	components	component	NOUN
esrj-21263	36	35	in	in	ADP
esrj-21263	36	36	order	order	NOUN
esrj-21263	36	37	to	to	PART
esrj-21263	36	38	guarantee	guarantee	VERB
esrj-21263	36	39	the	the	DET
esrj-21263	36	40	existence	existence	NOUN
esrj-21263	36	41	of	of	ADP
esrj-21263	36	42	the	the	DET
esrj-21263	36	43	displacement	displacement	ADJ
esrj-21263	36	44	field	field	NOUN
esrj-21263	36	45	(	(	PUNCT
esrj-21263	36	46	mase	mase	PROPN
esrj-21263	36	47	,	,	PUNCT
esrj-21263	36	48	1970	1970	NUM
esrj-21263	36	49	)	)	PUNCT
esrj-21263	36	50	.	.	PUNCT
esrj-21263	37	1	2	2	NUM
esrj-21263	37	2	22	22	NUM
esrj-21263	37	3	2	2	NUM
esrj-21263	37	4	0	0	NUM
esrj-21263	37	5	0ij	0ij	NOUN
esrj-21263	37	6	jmkm	jmkm	PROPN
esrj-21263	37	7	ik	ik	PROPN
esrj-21263	37	8	k	k	PROPN
esrj-21263	37	9	m	m	VERB
esrj-21263	37	10	i	i	PRON
esrj-21263	37	11	j	j	PROPN
esrj-21263	38	1	j	j	NOUN
esrj-21263	39	1	i	i	PRON
esrj-21263	39	2	kx	kx	VERB
esrj-21263	39	3	x	x	PUNCT
esrj-21263	40	1	x	x	PUNCT
esrj-21263	40	2	x	x	PUNCT
esrj-21263	40	3	x	x	PUNCT
esrj-21263	40	4	x	x	SYM
esrj-21263	40	5	x	x	SYM
esrj-21263	40	6	x	x	X
esrj-21263	40	7	ε	ε	PROPN
esrj-21263	40	8	εε	εε	ADP
esrj-21263	40	9	εε	εε	ADP
esrj-21263	40	10	∂	∂	NUM
esrj-21263	40	11	∂∂	∂∂	NOUN
esrj-21263	40	12	∂	∂	NUM
esrj-21263	40	13	∇×	∇×	NOUN
esrj-21263	40	14	×∇=	×∇=	VERB
esrj-21263	40	15	↔	↔	PROPN
esrj-21263	40	16	+	+	CCONJ
esrj-21263	40	17	−	−	PROPN
esrj-21263	40	18	−	−	PROPN
esrj-21263	40	19	=	=	SYM
esrj-21263	40	20	∂	∂	NUM
esrj-21263	40	21	∂	∂	NUM
esrj-21263	40	22	∂	∂	NUM
esrj-21263	40	23	∂	∂	NUM
esrj-21263	40	24	∂	∂	NUM
esrj-21263	40	25	∂	∂	NUM
esrj-21263	40	26	∂	∂	NUM
esrj-21263	40	27	∂	∂	NUM
esrj-21263	40	28	(	(	PUNCT
esrj-21263	40	29	4	4	NUM
esrj-21263	40	30	)	)	PUNCT
esrj-21263	40	31	thus	thus	ADV
esrj-21263	40	32	,	,	PUNCT
esrj-21263	40	33	combining	combine	VERB
esrj-21263	40	34	(	(	PUNCT
esrj-21263	40	35	1	1	NUM
esrj-21263	40	36	)	)	PUNCT
esrj-21263	40	37	,	,	PUNCT
esrj-21263	40	38	(	(	PUNCT
esrj-21263	40	39	2	2	NUM
esrj-21263	40	40	)	)	PUNCT
esrj-21263	40	41	,	,	PUNCT
esrj-21263	40	42	(	(	PUNCT
esrj-21263	40	43	3	3	X
esrj-21263	40	44	)	)	PUNCT
esrj-21263	40	45	and	and	CCONJ
esrj-21263	40	46	(	(	PUNCT
esrj-21263	40	47	4	4	X
esrj-21263	40	48	)	)	PUNCT
esrj-21263	40	49	the	the	DET
esrj-21263	40	50	most	most	ADV
esrj-21263	40	51	general	general	ADJ
esrj-21263	40	52	form	form	NOUN
esrj-21263	40	53	of	of	ADP
esrj-21263	40	54	the	the	DET
esrj-21263	40	55	elastodynamic	elastodynamic	ADJ
esrj-21263	40	56	equation	equation	NOUN
esrj-21263	40	57	is	be	AUX
esrj-21263	40	58	obtained	obtain	VERB
esrj-21263	40	59	:	:	PUNCT
esrj-21263	40	60	2	2	NUM
esrj-21263	40	61	2	2	NUM
esrj-21263	40	62	k	k	NOUN
esrj-21263	40	63	ij	ij	INTJ
esrj-21263	41	1	j	j	PROPN
esrj-21263	41	2	l	l	NOUN
esrj-21263	41	3	u	u	NOUN
esrj-21263	41	4	uc	uc	INTJ
esrj-21263	41	5	i	i	INTJ
esrj-21263	41	6	x	x	PUNCT
esrj-21263	41	7	x	x	X
esrj-21263	41	8	t	t	PROPN
esrj-21263	41	9	ρ	ρ	NUM
esrj-21263	41	10	⎛	⎛	NOUN
esrj-21263	41	11	⎞∂	⎞∂	NUM
esrj-21263	41	12	∂∂	∂∂	X
esrj-21263	41	13	=	=	NUM
esrj-21263	41	14	⎜	⎜	PROPN
esrj-21263	41	15	⎟∂	⎟∂	PROPN
esrj-21263	41	16	∂	∂	NOUN
esrj-21263	41	17	∂⎝	∂⎝	ADJ
esrj-21263	41	18	⎠	⎠	NOUN
esrj-21263	41	19	(	(	PUNCT
esrj-21263	41	20	5	5	NUM
esrj-21263	41	21	)	)	PUNCT
esrj-21263	41	22	note	note	NOUN
esrj-21263	41	23	that	that	SCONJ
esrj-21263	41	24	the	the	DET
esrj-21263	41	25	stiffness	stiffness	ADJ
esrj-21263	41	26	tensor	tensor	NOUN
esrj-21263	41	27	reduces	reduce	VERB
esrj-21263	41	28	to	to	ADP
esrj-21263	41	29	a	a	DET
esrj-21263	41	30	6x6	6x6	NUM
esrj-21263	41	31	symmetric	symmetric	ADJ
esrj-21263	41	32	matrix	matrix	NOUN
esrj-21263	41	33	c	c	NOUN
esrj-21263	42	1	i	i	PRON
esrj-21263	42	2	j	j	PROPN
esrj-21263	42	3	k	k	PROPN
esrj-21263	42	4	lc	lc	PROPN
esrj-21263	43	1	ij	ij	INTJ
esrj-21263	43	2	due	due	ADP
esrj-21263	43	3	to	to	ADP
esrj-21263	43	4	the	the	DET
esrj-21263	43	5	symmetry	symmetry	NOUN
esrj-21263	43	6	of	of	ADP
esrj-21263	43	7	the	the	DET
esrj-21263	43	8	stress	stress	NOUN
esrj-21263	43	9	and	and	CCONJ
esrj-21263	43	10	strain	strain	ADJ
esrj-21263	43	11	tensors	tensor	NOUN
esrj-21263	43	12	.	.	PUNCT
esrj-21263	44	1	the	the	DET
esrj-21263	44	2	condition	condition	NOUN
esrj-21263	44	3	(	(	PUNCT
esrj-21263	44	4	5	5	X
esrj-21263	44	5	)	)	PUNCT
esrj-21263	44	6	gives	give	VERB
esrj-21263	44	7	a	a	DET
esrj-21263	44	8	simpler	simple	ADJ
esrj-21263	44	9	strain	strain	NOUN
esrj-21263	44	10	–	–	PUNCT
esrj-21263	44	11	displacement	displacement	ADJ
esrj-21263	44	12	relation	relation	NOUN
esrj-21263	44	13	.	.	PUNCT
esrj-21263	45	1	the	the	DET
esrj-21263	45	2	stiffness	stiffness	ADJ
esrj-21263	45	3	matrix	matrix	NOUN
esrj-21263	45	4	can	can	AUX
esrj-21263	45	5	be	be	AUX
esrj-21263	45	6	obtained	obtain	VERB
esrj-21263	45	7	by	by	ADP
esrj-21263	45	8	combination	combination	NOUN
esrj-21263	45	9	of	of	ADP
esrj-21263	45	10	coordinate	coordinate	NOUN
esrj-21263	45	11	transformations	transformation	NOUN
esrj-21263	45	12	corresponding	correspond	VERB
esrj-21263	45	13	to	to	ADP
esrj-21263	45	14	the	the	DET
esrj-21263	45	15	material	material	NOUN
esrj-21263	45	16	lattice	lattice	PROPN
esrj-21263	45	17	symmetry	symmetry	NOUN
esrj-21263	45	18	properties	property	NOUN
esrj-21263	45	19	.	.	PUNCT
esrj-21263	46	1	in	in	ADP
esrj-21263	46	2	the	the	DET
esrj-21263	46	3	most	most	ADV
esrj-21263	46	4	general	general	ADJ
esrj-21263	46	5	case	case	NOUN
esrj-21263	46	6	the	the	DET
esrj-21263	46	7	stiffness	stiffness	ADJ
esrj-21263	46	8	matrix	matrix	NOUN
esrj-21263	46	9	has	have	AUX
esrj-21263	46	10	got	get	VERB
esrj-21263	46	11	21	21	NUM
esrj-21263	46	12	independent	independent	ADJ
esrj-21263	46	13	elastic	elastic	ADJ
esrj-21263	46	14	constants	constant	NOUN
esrj-21263	46	15	.	.	PUNCT
esrj-21263	47	1	this	this	PRON
esrj-21263	47	2	is	be	AUX
esrj-21263	47	3	the	the	DET
esrj-21263	47	4	monoclinic	monoclinic	ADJ
esrj-21263	47	5	material	material	NOUN
esrj-21263	47	6	.	.	PUNCT
esrj-21263	48	1	hexagonal	hexagonal	ADJ
esrj-21263	48	2	symmetry	symmetry	NOUN
esrj-21263	48	3	,	,	PUNCT
esrj-21263	48	4	for	for	ADP
esrj-21263	48	5	example	example	NOUN
esrj-21263	48	6	,	,	PUNCT
esrj-21263	48	7	has	have	AUX
esrj-21263	48	8	got	get	VERB
esrj-21263	48	9	5	5	NUM
esrj-21263	48	10	different	different	ADJ
esrj-21263	48	11	elastic	elastic	ADJ
esrj-21263	48	12	constants	constant	NOUN
esrj-21263	48	13	.	.	PUNCT
esrj-21263	49	1	this	this	DET
esrj-21263	49	2	system	system	NOUN
esrj-21263	49	3	has	have	AUX
esrj-21263	49	4	got	get	VERB
esrj-21263	49	5	one	one	NUM
esrj-21263	49	6	of	of	ADP
esrj-21263	49	7	the	the	DET
esrj-21263	49	8	axes	axis	NOUN
esrj-21263	49	9	of	of	ADP
esrj-21263	49	10	symmetry	symmetry	NOUN
esrj-21263	49	11	such	such	ADJ
esrj-21263	49	12	that	that	SCONJ
esrj-21263	49	13	a	a	DET
esrj-21263	49	14	rotation	rotation	NOUN
esrj-21263	49	15	around	around	ADP
esrj-21263	49	16	this	this	DET
esrj-21263	49	17	axis	axis	NOUN
esrj-21263	49	18	does	do	AUX
esrj-21263	49	19	not	not	PART
esrj-21263	49	20	change	change	VERB
esrj-21263	49	21	the	the	DET
esrj-21263	49	22	stiffness	stiffness	ADJ
esrj-21263	49	23	matrix	matrix	NOUN
esrj-21263	49	24	.	.	PUNCT
esrj-21263	50	1	for	for	ADP
esrj-21263	50	2	homogeneous	homogeneous	ADJ
esrj-21263	50	3	materials	material	NOUN
esrj-21263	50	4	in	in	ADP
esrj-21263	50	5	which	which	PRON
esrj-21263	50	6	elastic	elastic	ADJ
esrj-21263	50	7	constants	constant	NOUN
esrj-21263	50	8	and	and	CCONJ
esrj-21263	50	9	density	density	NOUN
esrj-21263	50	10	are	be	AUX
esrj-21263	50	11	constant	constant	ADJ
esrj-21263	50	12	,	,	PUNCT
esrj-21263	50	13	(	(	PUNCT
esrj-21263	50	14	5	5	X
esrj-21263	50	15	)	)	PUNCT
esrj-21263	50	16	reduces	reduce	VERB
esrj-21263	50	17	to	to	PART
esrj-21263	50	18	(	(	PUNCT
esrj-21263	50	19	6	6	NUM
esrj-21263	50	20	):	):	SYM
esrj-21263	50	21	2	2	NUM
esrj-21263	50	22	2	2	NUM
esrj-21263	50	23	2	2	NUM
esrj-21263	51	1	k	k	NOUN
esrj-21263	52	1	i	i	PRON
esrj-21263	53	1	ij	ij	INTJ
esrj-21263	53	2	j	j	PROPN
esrj-21263	53	3	l	l	NOUN
esrj-21263	53	4	u	u	NOUN
esrj-21263	53	5	uc	uc	PROPN
esrj-21263	53	6	x	x	X
esrj-21263	54	1	x	x	SYM
esrj-21263	54	2	t	t	NOUN
esrj-21263	54	3	ρ∂	ρ∂	NOUN
esrj-21263	54	4	∂	∂	NUM
esrj-21263	54	5	=	=	SYM
esrj-21263	54	6	∂	∂	NUM
esrj-21263	54	7	∂	∂	NUM
esrj-21263	54	8	∂	∂	NUM
esrj-21263	54	9	(	(	PUNCT
esrj-21263	54	10	6	6	NUM
esrj-21263	54	11	)	)	PUNCT
esrj-21263	54	12	first	first	ADV
esrj-21263	54	13	consider	consider	VERB
esrj-21263	54	14	harmonic	harmonic	ADJ
esrj-21263	54	15	plane	plane	NOUN
esrj-21263	54	16	waves	wave	NOUN
esrj-21263	54	17	moving	move	VERB
esrj-21263	54	18	through	through	ADP
esrj-21263	54	19	homogeneous	homogeneous	ADJ
esrj-21263	54	20	anisotropic	anisotropic	NOUN
esrj-21263	54	21	medium	medium	NOUN
esrj-21263	54	22	.	.	PUNCT
esrj-21263	55	1	then	then	ADV
esrj-21263	55	2	the	the	DET
esrj-21263	55	3	solution	solution	NOUN
esrj-21263	55	4	must	must	AUX
esrj-21263	55	5	be	be	AUX
esrj-21263	55	6	sought	seek	VERB
esrj-21263	55	7	in	in	ADP
esrj-21263	55	8	the	the	DET
esrj-21263	55	9	next	next	ADJ
esrj-21263	55	10	form	form	NOUN
esrj-21263	55	11	:	:	PUNCT
esrj-21263	55	12	(	(	PUNCT
esrj-21263	55	13	)	)	PUNCT
esrj-21263	55	14	(	(	PUNCT
esrj-21263	55	15	)	)	PUNCT
esrj-21263	55	16	(	(	PUNCT
esrj-21263	55	17	)	)	PUNCT
esrj-21263	55	18	(	(	PUNCT
esrj-21263	55	19	)	)	PUNCT
esrj-21263	55	20	,	,	PUNCT
esrj-21263	55	21	,	,	PUNCT
esrj-21263	55	22	i	i	PRON
esrj-21263	55	23	iik	iik	VERB
esrj-21263	55	24	vt	vt	PROPN
esrj-21263	55	25	l	l	PROPN
esrj-21263	55	26	xik	xik	PROPN
esrj-21263	56	1	vt	vt	PROPN
esrj-21263	56	2	l	l	PROPN
esrj-21263	56	3	x	x	PUNCT
esrj-21263	57	1	i	i	PRON
esrj-21263	57	2	i	i	PRON
esrj-21263	57	3	iu	iu	VERB
esrj-21263	57	4	x	x	PROPN
esrj-21263	57	5	t	t	PROPN
esrj-21263	57	6	ue	ue	PROPN
esrj-21263	57	7	u	u	PROPN
esrj-21263	57	8	x	x	PROPN
esrj-21263	57	9	t	t	PROPN
esrj-21263	57	10	u	u	NOUN
esrj-21263	57	11	e−	e−	PROPN
esrj-21263	57	12	−−	−−	PROPN
esrj-21263	57	13	−=	−=	VERB
esrj-21263	57	14	↔	↔	PROPN
esrj-21263	57	15	=	=	SYM
esrj-21263	57	16	(	(	PUNCT
esrj-21263	57	17	7	7	NUM
esrj-21263	57	18	)	)	PUNCT
esrj-21263	57	19	where	where	SCONJ
esrj-21263	57	20	:	:	PUNCT
esrj-21263	57	21	u	u	NOUN
esrj-21263	57	22	is	be	AUX
esrj-21263	57	23	the	the	DET
esrj-21263	57	24	displacement	displacement	ADJ
esrj-21263	57	25	amplitude	amplitude	NOUN
esrj-21263	57	26	vector	vector	NOUN
esrj-21263	57	27	,	,	PUNCT
esrj-21263	57	28	integration	integration	NOUN
esrj-21263	57	29	constant	constant	ADJ
esrj-21263	57	30	,	,	PUNCT
esrj-21263	57	31	i	i	PRON
esrj-21263	57	32	is	be	AUX
esrj-21263	57	33	an	an	DET
esrj-21263	57	34	imaginary	imaginary	ADJ
esrj-21263	57	35	unit	unit	NOUN
esrj-21263	57	36	,	,	PUNCT
esrj-21263	57	37	64	64	NUM
esrj-21263	57	38	2k	2k	NOUN
esrj-21263	57	39	π	π	X
esrj-21263	57	40	λ	λ	X
esrj-21263	57	41	=	=	PRON
esrj-21263	57	42	is	be	AUX
esrj-21263	57	43	the	the	DET
esrj-21263	57	44	wave	wave	NOUN
esrj-21263	57	45	number	number	NOUN
esrj-21263	57	46	,	,	PUNCT
esrj-21263	57	47	λ	λ	PROPN
esrj-21263	57	48	is	be	AUX
esrj-21263	57	49	wavelength	wavelength	NOUN
esrj-21263	57	50	,	,	PUNCT
esrj-21263	57	51	v	v	NOUN
esrj-21263	57	52	is	be	AUX
esrj-21263	57	53	phase	phase	NOUN
esrj-21263	57	54	velocity	velocity	NOUN
esrj-21263	57	55	,	,	PUNCT
esrj-21263	57	56	t	t	PROPN
esrj-21263	57	57	is	be	AUX
esrj-21263	57	58	time	time	NOUN
esrj-21263	57	59	,	,	PUNCT
esrj-21263	57	60	l	l	NOUN
esrj-21263	57	61	is	be	AUX
esrj-21263	57	62	unit	unit	NOUN
esrj-21263	57	63	vector	vector	NOUN
esrj-21263	57	64	along	along	ADP
esrj-21263	57	65	the	the	DET
esrj-21263	57	66	propagation	propagation	NOUN
esrj-21263	57	67	direction	direction	NOUN
esrj-21263	57	68	,	,	PUNCT
esrj-21263	57	69	x	x	X
esrj-21263	57	70	is	be	AUX
esrj-21263	57	71	position	position	NOUN
esrj-21263	57	72	vector	vector	NOUN
esrj-21263	57	73	.	.	PUNCT
esrj-21263	58	1	replacing	replace	VERB
esrj-21263	58	2	the	the	DET
esrj-21263	58	3	displacement	displacement	ADJ
esrj-21263	58	4	vector	vector	NOUN
esrj-21263	58	5	(	(	PUNCT
esrj-21263	58	6	7	7	NUM
esrj-21263	58	7	)	)	PUNCT
esrj-21263	58	8	in	in	ADP
esrj-21263	58	9	the	the	DET
esrj-21263	58	10	elastodynamic	elastodynamic	ADJ
esrj-21263	58	11	equation	equation	NOUN
esrj-21263	58	12	(	(	PUNCT
esrj-21263	58	13	6	6	NUM
esrj-21263	58	14	)	)	PUNCT
esrj-21263	58	15	and	and	CCONJ
esrj-21263	58	16	applying	apply	VERB
esrj-21263	58	17	the	the	DET
esrj-21263	58	18	fourier	fourier	NOUN
esrj-21263	58	19	transform	transform	NOUN
esrj-21263	58	20	,	,	PUNCT
esrj-21263	58	21	we	we	PRON
esrj-21263	58	22	get	get	VERB
esrj-21263	58	23	:	:	PUNCT
esrj-21263	58	24	2	2	NUM
esrj-21263	58	25	2	2	NUM
esrj-21263	58	26	0ij	0ij	NOUN
esrj-21263	58	27	jk	jk	PROPN
esrj-21263	58	28	kl	kl	INTJ
esrj-21263	59	1	i	i	PRON
esrj-21263	59	2	ll	ll	VERB
esrj-21263	59	3	c	c	NOUN
esrj-21263	59	4	l	l	NOUN
esrj-21263	59	5	u	u	X
esrj-21263	59	6	u	u	X
esrj-21263	59	7	k	k	NOUN
esrj-21263	59	8	ρω	ρω	INTJ
esrj-21263	59	9	−	−	PROPN
esrj-21263	59	10	=	=	SYM
esrj-21263	59	11	(	(	PUNCT
esrj-21263	59	12	8)	8)	NUM
esrj-21263	59	13	where	where	SCONJ
esrj-21263	59	14	:	:	PUNCT
esrj-21263	59	15	ijl	ijl	PROPN
esrj-21263	59	16	is	be	AUX
esrj-21263	59	17	director	director	NOUN
esrj-21263	59	18	cosines	cosine	NOUN
esrj-21263	59	19	matrix	matrix	NOUN
esrj-21263	59	20	of	of	ADP
esrj-21263	59	21	the	the	DET
esrj-21263	59	22	propagation	propagation	NOUN
esrj-21263	59	23	vector	vector	NOUN
esrj-21263	59	24	,	,	PUNCT
esrj-21263	60	1	2	2	NUM
esrj-21263	60	2	vkv	vkv	NOUN
esrj-21263	60	3	πω	πω	ADP
esrj-21263	60	4	λ	λ	X
esrj-21263	60	5	=	=	SYM
esrj-21263	60	6	=	=	SYM
esrj-21263	60	7	–	–	PUNCT
esrj-21263	60	8	angular	angular	ADJ
esrj-21263	60	9	frequency	frequency	NOUN
esrj-21263	60	10	.	.	PUNCT
esrj-21263	61	1	the	the	DET
esrj-21263	61	2	equation	equation	NOUN
esrj-21263	61	3	(	(	PUNCT
esrj-21263	61	4	8)	8)	NUM
esrj-21263	61	5	can	can	AUX
esrj-21263	61	6	be	be	AUX
esrj-21263	61	7	rewritten	rewrite	VERB
esrj-21263	61	8	as	as	ADP
esrj-21263	61	9	:	:	PUNCT
esrj-21263	61	10	(	(	PUNCT
esrj-21263	61	11	)	)	PUNCT
esrj-21263	61	12	2	2	NUM
esrj-21263	61	13	0ik	0ik	NOUN
esrj-21263	61	14	ik	ik	PROPN
esrj-21263	61	15	kv	kv	PROPN
esrj-21263	61	16	uδ	uδ	AUX
esrj-21263	61	17	ργ	ργ	VERB
esrj-21263	61	18	−	−	PROPN
esrj-21263	61	19	=	=	PUNCT
esrj-21263	61	20	(	(	PUNCT
esrj-21263	61	21	9	9	NUM
esrj-21263	61	22	)	)	PUNCT
esrj-21263	62	1	where	where	SCONJ
esrj-21263	62	2	:	:	PUNCT
esrj-21263	62	3	il	il	PROPN
esrj-21263	62	4	ij	ij	INTJ
esrj-21263	62	5	jk	jk	PROPN
esrj-21263	62	6	kll	kll	PROPN
esrj-21263	62	7	c	c	NOUN
esrj-21263	63	1	lγ	lγ	ADP
esrj-21263	63	2	=	=	PUNCT
esrj-21263	63	3	⋅	⋅	PROPN
esrj-21263	63	4	⋅	⋅	X
esrj-21263	63	5	–	–	PUNCT
esrj-21263	63	6	christoffel	christoffel	NOUN
esrj-21263	63	7	matrix	matrix	NOUN
esrj-21263	63	8	(	(	PUNCT
esrj-21263	63	9	10	10	NUM
esrj-21263	63	10	)	)	PUNCT
esrj-21263	63	11	the	the	DET
esrj-21263	63	12	slowness	slowness	NOUN
esrj-21263	63	13	1p	1p	NUM
esrj-21263	63	14	v	v	NOUN
esrj-21263	63	15	=	=	PUNCT
esrj-21263	63	16	is	be	AUX
esrj-21263	63	17	obtained	obtain	VERB
esrj-21263	63	18	by	by	ADP
esrj-21263	63	19	solving	solve	VERB
esrj-21263	63	20	the	the	DET
esrj-21263	63	21	next	next	ADJ
esrj-21263	63	22	equation	equation	NOUN
esrj-21263	63	23	for	for	ADP
esrj-21263	63	24	the	the	DET
esrj-21263	63	25	three	three	NUM
esrj-21263	63	26	values	value	NOUN
esrj-21263	63	27	of	of	ADP
esrj-21263	63	28	v2	v2	NOUN
esrj-21263	63	29	.	.	PUNCT
esrj-21263	64	1	(	(	PUNCT
esrj-21263	64	2	2det	2det	NUM
esrj-21263	64	3	0ik	0ik	NOUN
esrj-21263	64	4	ik	ik	PROPN
esrj-21263	64	5	vδ	vδ	X
esrj-21263	64	6	ργ	ργ	PROPN
esrj-21263	64	7	−	−	PROPN
esrj-21263	64	8	=)	=)	PROPN
esrj-21263	64	9	(	(	PUNCT
esrj-21263	64	10	11	11	NUM
esrj-21263	64	11	)	)	PUNCT
esrj-21263	64	12	therefore	therefore	ADV
esrj-21263	64	13	,	,	PUNCT
esrj-21263	64	14	three	three	NUM
esrj-21263	64	15	types	type	NOUN
esrj-21263	64	16	of	of	ADP
esrj-21263	64	17	plane	plane	NOUN
esrj-21263	64	18	harmonic	harmonic	ADJ
esrj-21263	64	19	waves	wave	NOUN
esrj-21263	64	20	along	along	ADP
esrj-21263	64	21	the	the	DET
esrj-21263	64	22	propagation	propagation	NOUN
esrj-21263	64	23	direction	direction	NOUN
esrj-21263	64	24	l	l	NOUN
esrj-21263	64	25	are	be	AUX
esrj-21263	64	26	obtained	obtain	VERB
esrj-21263	64	27	,	,	PUNCT
esrj-21263	64	28	with	with	ADP
esrj-21263	64	29	three	three	NUM
esrj-21263	64	30	different	different	ADJ
esrj-21263	64	31	phase	phase	NOUN
esrj-21263	64	32	velocities	velocity	NOUN
esrj-21263	64	33	v(i	v(i	NUM
esrj-21263	64	34	)	)	PUNCT
esrj-21263	64	35	.	.	PUNCT
esrj-21263	65	1	the	the	DET
esrj-21263	65	2	corresponding	corresponding	ADJ
esrj-21263	65	3	displacement	displacement	ADJ
esrj-21263	65	4	vectors	vector	NOUN
esrj-21263	65	5	are	be	AUX
esrj-21263	65	6	mutually	mutually	ADV
esrj-21263	65	7	orthogonal	orthogonal	ADJ
esrj-21263	65	8	;	;	PUNCT
esrj-21263	65	9	they	they	PRON
esrj-21263	65	10	are	be	AUX
esrj-21263	65	11	also	also	ADV
esrj-21263	65	12	called	call	VERB
esrj-21263	65	13	polarization	polarization	NOUN
esrj-21263	65	14	vectors	vector	NOUN
esrj-21263	65	15	.	.	PUNCT
esrj-21263	66	1	the	the	DET
esrj-21263	66	2	vectors	vector	NOUN
esrj-21263	66	3	(	(	PUNCT
esrj-21263	66	4	)	)	PUNCT
esrj-21263	66	5	i	i	PRON
esrj-21263	66	6	ju	ju	NOUN
esrj-21263	66	7	l	l	NOUN
esrj-21263	66	8	and	and	CCONJ
esrj-21263	66	9	can	can	AUX
esrj-21263	66	10	be	be	AUX
esrj-21263	66	11	parallel	parallel	VERB
esrj-21263	66	12	,	,	PUNCT
esrj-21263	66	13	in	in	ADP
esrj-21263	66	14	that	that	DET
esrj-21263	66	15	case	case	NOUN
esrj-21263	66	16	the	the	DET
esrj-21263	66	17	corresponding	corresponding	ADJ
esrj-21263	66	18	wave	wave	NOUN
esrj-21263	66	19	to	to	ADP
esrj-21263	66	20	that	that	DET
esrj-21263	66	21	displacement	displacement	ADJ
esrj-21263	66	22	direction	direction	NOUN
esrj-21263	66	23	is	be	AUX
esrj-21263	66	24	called	call	VERB
esrj-21263	66	25	pure	pure	ADJ
esrj-21263	66	26	longitudinal	longitudinal	ADJ
esrj-21263	66	27	wave	wave	NOUN
esrj-21263	66	28	.	.	PUNCT
esrj-21263	67	1	perpendicular	perpendicular	ADJ
esrj-21263	67	2	directions	direction	NOUN
esrj-21263	67	3	of	of	ADP
esrj-21263	67	4	displacement	displacement	NOUN
esrj-21263	67	5	correspond	correspond	NOUN
esrj-21263	67	6	to	to	ADP
esrj-21263	67	7	pure	pure	ADJ
esrj-21263	67	8	shear	shear	NOUN
esrj-21263	67	9	waves	wave	NOUN
esrj-21263	67	10	.	.	PUNCT
esrj-21263	68	1	(	(	PUNCT
esrj-21263	68	2	)	)	PUNCT
esrj-21263	68	3	i	i	PRON
esrj-21263	68	4	ju	ju	PROPN
esrj-21263	68	5	body	body	NOUN
esrj-21263	68	6	of	of	ADP
esrj-21263	68	7	the	the	DET
esrj-21263	68	8	programming	programming	NOUN
esrj-21263	68	9	routine	routine	NOUN
esrj-21263	68	10	this	this	DET
esrj-21263	68	11	routine	routine	ADJ
esrj-21263	68	12	plots	plot	NOUN
esrj-21263	68	13	the	the	DET
esrj-21263	68	14	wave	wave	NOUN
esrj-21263	68	15	surfaces	surface	NOUN
esrj-21263	68	16	for	for	ADP
esrj-21263	68	17	all	all	DET
esrj-21263	68	18	cases	case	NOUN
esrj-21263	68	19	of	of	ADP
esrj-21263	68	20	anisotropy	anisotropy	NOUN
esrj-21263	68	21	>	>	X
esrj-21263	68	22	restart	restart	NOUN
esrj-21263	68	23	:	:	PUNCT
esrj-21263	68	24	with(linearalgebra	with(linearalgebra	PROPN
esrj-21263	68	25	):	):	PUNCT
esrj-21263	68	26	unprotect(gamma	unprotect(gamma	PROPN
esrj-21263	68	27	,	,	PUNCT
esrj-21263	68	28	gamma	gamma	NOUN
esrj-21263	68	29	):	):	PUNCT
esrj-21263	68	30	stiffness	stiffness	NOUN
esrj-21263	68	31	matrices	matrix	NOUN
esrj-21263	68	32	stiffness	stiffness	ADJ
esrj-21263	68	33	matrix	matrix	NOUN
esrj-21263	68	34	in	in	ADP
esrj-21263	68	35	the	the	DET
esrj-21263	68	36	voigt	voigt	PROPN
esrj-21263	68	37	form	form	NOUN
esrj-21263	68	38	>	>	PUNCT
esrj-21263	68	39	c:=matrix(6,6,shape	c:=matrix(6,6,shape	NOUN
esrj-21263	68	40	=	=	SYM
esrj-21263	68	41	symmetric	symmetric	ADJ
esrj-21263	68	42	):	):	PUNCT
esrj-21263	68	43	now	now	ADV
esrj-21263	68	44	the	the	DET
esrj-21263	68	45	user	user	NOUN
esrj-21263	68	46	must	must	AUX
esrj-21263	68	47	choose	choose	VERB
esrj-21263	68	48	the	the	DET
esrj-21263	68	49	anisotropy	anisotropy	NOUN
esrj-21263	68	50	case	case	NOUN
esrj-21263	68	51	:	:	PUNCT
esrj-21263	68	52	isotropic	isotropic	ADJ
esrj-21263	68	53	case	case	NOUN
esrj-21263	68	54	(	(	PUNCT
esrj-21263	68	55	2	2	NUM
esrj-21263	68	56	elastic	elastic	ADJ
esrj-21263	68	57	constants	constant	NOUN
esrj-21263	68	58	)	)	PUNCT
esrj-21263	68	59	>	>	PUNCT
esrj-21263	69	1	c[1,1]:=lambda+2*mu	c[1,1]:=lambda+2*mu	NOUN
esrj-21263	69	2	:	:	PUNCT
esrj-21263	69	3	c[2,2]:=lambda+2*mu	c[2,2]:=lambda+2*mu	ADJ
esrj-21263	69	4	:	:	PUNCT
esrj-21263	69	5	c[3,3]:=lambda+2*mu	c[3,3]:=lambda+2*mu	ADJ
esrj-21263	69	6	:	:	PUNCT
esrj-21263	69	7	c[4,4]:=mu	c[4,4]:=mu	NOUN
esrj-21263	69	8	:	:	PUNCT
esrj-21263	69	9	c[5,5]:=mu	c[5,5]:=mu	NOUN
esrj-21263	69	10	:	:	PUNCT
esrj-21263	69	11	c[6,6]:=mu	c[6,6]:=mu	NOUN
esrj-21263	69	12	:	:	PUNCT
esrj-21263	69	13	c[1,2]:=lambda	c[1,2]:=lambda	NOUN
esrj-21263	69	14	:	:	PUNCT
esrj-21263	69	15	c[1,3]:=lambda	c[1,3]:=lambda	NOUN
esrj-21263	69	16	:	:	PUNCT
esrj-21263	69	17	c[2,3]:=lambda	c[2,3]:=lambda	NOUN
esrj-21263	69	18	:	:	PUNCT
esrj-21263	69	19	evalm(c	evalm(c	PROPN
esrj-21263	69	20	)	)	PUNCT
esrj-21263	69	21	;	;	PUNCT
esrj-21263	69	22	cubic	cubic	ADJ
esrj-21263	69	23	anisotropy	anisotropy	NOUN
esrj-21263	69	24	(	(	PUNCT
esrj-21263	69	25	3	3	NUM
esrj-21263	69	26	elastic	elastic	ADJ
esrj-21263	69	27	constants	constant	NOUN
esrj-21263	69	28	)	)	PUNCT
esrj-21263	69	29	>	>	X
esrj-21263	70	1	c[1,1]:=c11	c[1,1]:=c11	ADJ
esrj-21263	70	2	:	:	PUNCT
esrj-21263	70	3	c[2,2]:=c11	c[2,2]:=c11	ADJ
esrj-21263	70	4	:	:	PUNCT
esrj-21263	70	5	c[3,3]:=c11	c[3,3]:=c11	PROPN
esrj-21263	70	6	:	:	PUNCT
esrj-21263	70	7	c[4,4]:=c44	c[4,4]:=c44	PROPN
esrj-21263	70	8	:	:	PUNCT
esrj-21263	70	9	c[5,5]:=c44	c[5,5]:=c44	PROPN
esrj-21263	70	10	:	:	PUNCT
esrj-21263	70	11	c[6,6]:=c44	c[6,6]:=c44	PROPN
esrj-21263	70	12	:	:	PUNCT
esrj-21263	70	13	c[1,2]:=c12	c[1,2]:=c12	NOUN
esrj-21263	70	14	:	:	PUNCT
esrj-21263	70	15	c[1,3]:=c12	c[1,3]:=c12	NOUN
esrj-21263	70	16	:	:	PUNCT
esrj-21263	70	17	c[2,3]:=c12	c[2,3]:=c12	NOUN
esrj-21263	70	18	:	:	PUNCT
esrj-21263	70	19	evalm(c	evalm(c	PROPN
esrj-21263	70	20	)	)	PUNCT
esrj-21263	70	21	;	;	PUNCT
esrj-21263	70	22	hexagonal	hexagonal	ADJ
esrj-21263	70	23	anisotropy	anisotropy	NOUN
esrj-21263	70	24	,	,	PUNCT
esrj-21263	70	25	vti	vti	NOUN
esrj-21263	70	26	(	(	PUNCT
esrj-21263	70	27	5	5	NUM
esrj-21263	70	28	elastic	elastic	ADJ
esrj-21263	70	29	constants	constant	NOUN
esrj-21263	70	30	)	)	PUNCT
esrj-21263	70	31	>	>	X
esrj-21263	71	1	c[1,1]:=c11	c[1,1]:=c11	ADJ
esrj-21263	71	2	:	:	PUNCT
esrj-21263	71	3	c[2,2]:=c11	c[2,2]:=c11	ADJ
esrj-21263	71	4	:	:	PUNCT
esrj-21263	71	5	c[3,3]:=c33	c[3,3]:=c33	PROPN
esrj-21263	71	6	:	:	PUNCT
esrj-21263	71	7	c[4,4]:=c44	c[4,4]:=c44	PROPN
esrj-21263	71	8	:	:	PUNCT
esrj-21263	71	9	c[5,5]:=c44	c[5,5]:=c44	PROPN
esrj-21263	71	10	:	:	PUNCT
esrj-21263	71	11	c[6,6]:=c66	c[6,6]:=c66	ADJ
esrj-21263	71	12	:	:	PUNCT
esrj-21263	71	13	c[1,2]:=c11	c[1,2]:=c11	NOUN
esrj-21263	71	14	-	-	PUNCT
esrj-21263	71	15	2*c66	2*c66	NOUN
esrj-21263	71	16	:	:	PUNCT
esrj-21263	71	17	c[1,3]:=c13	c[1,3]:=c13	PROPN
esrj-21263	71	18	:	:	PUNCT
esrj-21263	71	19	c[2,3]:=c13	c[2,3]:=c13	ADJ
esrj-21263	71	20	:	:	PUNCT
esrj-21263	71	21	eval(c	eval(c	NOUN
esrj-21263	71	22	)	)	PUNCT
esrj-21263	71	23	;	;	PUNCT
esrj-21263	71	24	orthorhombic	orthorhombic	NOUN
esrj-21263	71	25	anisotropy	anisotropy	NOUN
esrj-21263	71	26	(	(	PUNCT
esrj-21263	71	27	9	9	NUM
esrj-21263	71	28	elastic	elastic	ADJ
esrj-21263	71	29	constants	constant	NOUN
esrj-21263	71	30	)	)	PUNCT
esrj-21263	71	31	>	>	X
esrj-21263	72	1	c[1,1]:=c11	c[1,1]:=c11	ADJ
esrj-21263	72	2	:	:	PUNCT
esrj-21263	72	3	c[2,2]:=c22	c[2,2]:=c22	NOUN
esrj-21263	72	4	:	:	PUNCT
esrj-21263	72	5	c[3,3]:=c33	c[3,3]:=c33	PROPN
esrj-21263	72	6	:	:	PUNCT
esrj-21263	72	7	c[4,4]:=c44	c[4,4]:=c44	PROPN
esrj-21263	72	8	:	:	PUNCT
esrj-21263	72	9	c[5,5]:=c55	c[5,5]:=c55	NOUN
esrj-21263	72	10	:	:	PUNCT
esrj-21263	72	11	c[6,6]:=c66	c[6,6]:=c66	PROPN
esrj-21263	72	12	:	:	PUNCT
esrj-21263	72	13	c[1,2]:=c12	c[1,2]:=c12	PROPN
esrj-21263	72	14	:	:	PUNCT
esrj-21263	72	15	c[1,3]:=c13	c[1,3]:=c13	PROPN
esrj-21263	72	16	:	:	PUNCT
esrj-21263	72	17	c[2,3]:=c23	c[2,3]:=c23	NOUN
esrj-21263	72	18	:	:	PUNCT
esrj-21263	72	19	evalm(c	evalm(c	PROPN
esrj-21263	72	20	)	)	PUNCT
esrj-21263	72	21	;	;	PUNCT
esrj-21263	72	22	monoclinic	monoclinic	ADJ
esrj-21263	72	23	anisotropy	anisotropy	NOUN
esrj-21263	72	24	(	(	PUNCT
esrj-21263	72	25	13	13	NUM
esrj-21263	72	26	elastic	elastic	ADJ
esrj-21263	72	27	constants	constant	NOUN
esrj-21263	72	28	)	)	PUNCT
esrj-21263	72	29	65	65	NUM
esrj-21263	72	30	miguel	miguel	PROPN
esrj-21263	72	31	duarte	duarte	PROPN
esrj-21263	72	32	et	et	PROPN
esrj-21263	72	33	al	al	PROPN
esrj-21263	72	34	.	.	PROPN
esrj-21263	73	1	66	66	NUM
esrj-21263	73	2	>	>	PUNCT
esrj-21263	73	3	c[1,1]:=c11	c[1,1]:=c11	NOUN
esrj-21263	73	4	:	:	PUNCT
esrj-21263	73	5	c[1,2]:=c12	c[1,2]:=c12	PROPN
esrj-21263	73	6	:	:	PUNCT
esrj-21263	73	7	c[1,3]:=c13	c[1,3]:=c13	PROPN
esrj-21263	73	8	:	:	PUNCT
esrj-21263	73	9	c[1,4]:=c14	c[1,4]:=c14	NOUN
esrj-21263	73	10	:	:	PUNCT
esrj-21263	73	11	c[1,5]:=c15	c[1,5]:=c15	PROPN
esrj-21263	73	12	:	:	PUNCT
esrj-21263	73	13	c[1,6]:=c16	c[1,6]:=c16	PROPN
esrj-21263	73	14	:	:	PUNCT
esrj-21263	73	15	c[2,2]:=c22	c[2,2]:=c22	NOUN
esrj-21263	73	16	:	:	PUNCT
esrj-21263	73	17	c[2,3]:=c23	c[2,3]:=c23	PROPN
esrj-21263	73	18	:	:	PUNCT
esrj-21263	73	19	c[2,4]:=c24	c[2,4]:=c24	NOUN
esrj-21263	73	20	:	:	PUNCT
esrj-21263	73	21	c[2,5]:=c25	c[2,5]:=c25	NOUN
esrj-21263	73	22	:	:	PUNCT
esrj-21263	73	23	c[2,6]:=c26	c[2,6]:=c26	PROPN
esrj-21263	73	24	:	:	PUNCT
esrj-21263	73	25	c[3,3]:=c33	c[3,3]:=c33	NOUN
esrj-21263	73	26	:	:	PUNCT
esrj-21263	73	27	c[3,4]:=c34	c[3,4]:=c34	INTJ
esrj-21263	73	28	:	:	PUNCT
esrj-21263	73	29	c[3,5]:=c35	c[3,5]:=c35	NOUN
esrj-21263	73	30	:	:	PUNCT
esrj-21263	73	31	c[3,6]:=c36	c[3,6]:=c36	PROPN
esrj-21263	73	32	:	:	PUNCT
esrj-21263	73	33	c[4,4]:=c44	c[4,4]:=c44	PROPN
esrj-21263	73	34	:	:	PUNCT
esrj-21263	73	35	c[4,5]:=c45	c[4,5]:=c45	PROPN
esrj-21263	73	36	:	:	PUNCT
esrj-21263	73	37	c[4,6]:=c46	c[4,6]:=c46	NOUN
esrj-21263	73	38	:	:	PUNCT
esrj-21263	73	39	c[5,5]:=c55	c[5,5]:=c55	NOUN
esrj-21263	73	40	:	:	PUNCT
esrj-21263	73	41	c[5,6]:=c56	c[5,6]:=c56	VERB
esrj-21263	73	42	:	:	PUNCT
esrj-21263	73	43	c[6,6]:=c66	c[6,6]:=c66	ADJ
esrj-21263	73	44	:	:	PUNCT
esrj-21263	73	45	evalm(c	evalm(c	PROPN
esrj-21263	73	46	)	)	PUNCT
esrj-21263	73	47	;	;	PUNCT
esrj-21263	73	48	ray	ray	NOUN
esrj-21263	73	49	director	director	NOUN
esrj-21263	73	50	cosines	cosine	NOUN
esrj-21263	73	51	matrix	matrix	VERB
esrj-21263	73	52	>	>	X
esrj-21263	73	53	l:=matrix(6,3	l:=matrix(6,3	NOUN
esrj-21263	73	54	):	):	PUNCT
esrj-21263	73	55	l[1,1]:=l[1	l[1,1]:=l[1	PROPN
esrj-21263	73	56	]	]	X
esrj-21263	73	57	:	:	PUNCT
esrj-21263	73	58	l[2,2]:=l[2	l[2,2]:=l[2	ADJ
esrj-21263	73	59	]	]	PUNCT
esrj-21263	73	60	:	:	PUNCT
esrj-21263	73	61	l[3,3]:=l[3	l[3,3]:=l[3	VERB
esrj-21263	73	62	]	]	PUNCT
esrj-21263	73	63	:	:	PUNCT
esrj-21263	73	64	l[4,2]:=l[3	l[4,2]:=l[3	PROPN
esrj-21263	73	65	]	]	PUNCT
esrj-21263	73	66	:	:	PUNCT
esrj-21263	73	67	l[4,3]:=l[2	l[4,3]:=l[2	NOUN
esrj-21263	73	68	]	]	NOUN
esrj-21263	73	69	:	:	PUNCT
esrj-21263	73	70	l[5,1]:=l[3	l[5,1]:=l[3	NOUN
esrj-21263	73	71	]	]	PUNCT
esrj-21263	73	72	:	:	PUNCT
esrj-21263	73	73	l[5,3]:=l[1	l[5,3]:=l[1	NOUN
esrj-21263	73	74	]	]	X
esrj-21263	73	75	:	:	PUNCT
esrj-21263	73	76	l[6,1]:=l[2	l[6,1]:=l[2	NOUN
esrj-21263	73	77	]	]	PUNCT
esrj-21263	73	78	:	:	PUNCT
esrj-21263	73	79	l[6,2]:=l[1	l[6,2]:=l[1	NOUN
esrj-21263	73	80	]	]	PUNCT
esrj-21263	73	81	:	:	PUNCT
esrj-21263	73	82	evalm(l	evalm(l	NOUN
esrj-21263	73	83	)	)	PUNCT
esrj-21263	73	84	;	;	PUNCT
esrj-21263	73	85	christoffel	christoffel	NOUN
esrj-21263	73	86	matrix	matrix	NOUN
esrj-21263	73	87	>	>	X
esrj-21263	73	88	gamma:=transpose(l).c.l	gamma:=transpose(l).c.l	NOUN
esrj-21263	73	89	;	;	PUNCT
esrj-21263	73	90	eigenvalues	eigenvalue	NOUN
esrj-21263	73	91	and	and	CCONJ
esrj-21263	73	92	eigenvectors	eigenvector	VERB
esrj-21263	73	93	the	the	DET
esrj-21263	73	94	elastic	elastic	ADJ
esrj-21263	73	95	constants	constant	NOUN
esrj-21263	73	96	should	should	AUX
esrj-21263	73	97	be	be	AUX
esrj-21263	73	98	declared	declare	VERB
esrj-21263	73	99	according	accord	VERB
esrj-21263	73	100	to	to	ADP
esrj-21263	73	101	the	the	DET
esrj-21263	73	102	chosen	choose	VERB
esrj-21263	73	103	anisotropy	anisotropy	NOUN
esrj-21263	73	104	case	case	NOUN
esrj-21263	73	105	:	:	PUNCT
esrj-21263	74	1	consts:=c11=16.57	consts:=c11=16.57	PROPN
esrj-21263	74	2	*	*	SYM
esrj-21263	74	3	10	10	NUM
esrj-21263	74	4	^	^	SYM
esrj-21263	74	5	10,c12=6.39	10,c12=6.39	NUM
esrj-21263	74	6	*	*	SYM
esrj-21263	74	7	10	10	NUM
esrj-21263	74	8	^	^	SYM
esrj-21263	74	9	10,c44	10,c44	NUM
esrj-21263	74	10	=	=	SYM
esrj-21263	74	11	7.956	7.956	NUM
esrj-21263	74	12	*	*	SYM
esrj-21263	74	13	10	10	NUM
esrj-21263	74	14	^	^	SYM
esrj-21263	74	15	10,rho=2332	10,rho=2332	NUM
esrj-21263	74	16	:	:	PUNCT
esrj-21263	74	17	(	(	PUNCT
esrj-21263	74	18	cubic	cubic	ADJ
esrj-21263	74	19	anisotropy	anisotropy	NOUN
esrj-21263	74	20	)	)	PUNCT
esrj-21263	74	21	>	>	X
esrj-21263	74	22	consts:=c11=3.46e10,c13=1.07e10,c33	consts:=c11=3.46e10,c13=1.07e10,c33	PROPN
esrj-21263	75	1	=	=	SYM
esrj-21263	75	2	2.84e10,c44=8.36e9,c66=1.26e10,rho=2500	2.84e10,c44=8.36e9,c66=1.26e10,rho=2500	PROPN
esrj-21263	75	3	:	:	PUNCT
esrj-21263	75	4	(	(	PUNCT
esrj-21263	75	5	vti	vti	ADJ
esrj-21263	75	6	elastic	elastic	ADJ
esrj-21263	75	7	constants	constant	NOUN
esrj-21263	75	8	)	)	PUNCT
esrj-21263	75	9	>	>	PUNCT
esrj-21263	75	10	dir_l:=l[1]=sin(theta),l[2]=0,l[3]=cos(theta	dir_l:=l[1]=sin(theta),l[2]=0,l[3]=cos(theta	PROPN
esrj-21263	75	11	):	):	PUNCT
esrj-21263	75	12	>	>	X
esrj-21263	75	13	ch:=characteristicmatrix(subs(dir_l	ch:=characteristicmatrix(subs(dir_l	ADJ
esrj-21263	75	14	,	,	PUNCT
esrj-21263	75	15	gamma	gamma	NOUN
esrj-21263	75	16	)	)	PUNCT
esrj-21263	75	17	,	,	PUNCT
esrj-21263	75	18	k	k	NOUN
esrj-21263	75	19	)	)	PUNCT
esrj-21263	75	20	;	;	PUNCT
esrj-21263	75	21	>	>	X
esrj-21263	75	22	d:=determinant(ch	d:=determinant(ch	PROPN
esrj-21263	75	23	)	)	PUNCT
esrj-21263	75	24	;	;	PUNCT
esrj-21263	75	25	>	>	X
esrj-21263	75	26	factor(d	factor(d	NOUN
esrj-21263	75	27	)	)	PUNCT
esrj-21263	75	28	;	;	PUNCT
esrj-21263	75	29	>	>	X
esrj-21263	75	30	k:=[solve(d	k:=[solve(d	PROPN
esrj-21263	75	31	,	,	PUNCT
esrj-21263	75	32	k	k	PROPN
esrj-21263	75	33	)	)	PUNCT
esrj-21263	75	34	]	]	PUNCT
esrj-21263	75	35	;	;	PUNCT
esrj-21263	75	36	>	>	X
esrj-21263	75	37	map(simplify,%,trig	map(simplify,%,trig	NOUN
esrj-21263	75	38	)	)	PUNCT
esrj-21263	75	39	;	;	PUNCT
esrj-21263	75	40	>	>	X
esrj-21263	75	41	a:=subs(k	a:=subs(k	X
esrj-21263	75	42	=	=	NOUN
esrj-21263	75	43	k[3],ch	k[3],ch	NOUN
esrj-21263	75	44	)	)	PUNCT
esrj-21263	75	45	;	;	PUNCT
esrj-21263	75	46	>	>	PUNCT
esrj-21263	75	47	a:=map(simplify	a:=map(simplify	NOUN
esrj-21263	75	48	,	,	PUNCT
esrj-21263	75	49	subs(k	subs(k	NOUN
esrj-21263	75	50	=	=	SYM
esrj-21263	75	51	k[3],ch),trig	k[3],ch),trig	NOUN
esrj-21263	75	52	)	)	PUNCT
esrj-21263	75	53	;	;	PUNCT
esrj-21263	75	54	>	>	X
esrj-21263	75	55	solve({a[1,1]*u1+a[1,2]*u2=0},{u1	solve({a[1,1]*u1+a[1,2]*u2=0},{u1	NOUN
esrj-21263	75	56	}	}	PUNCT
esrj-21263	75	57	)	)	PUNCT
esrj-21263	75	58	;	;	PUNCT
esrj-21263	75	59	>	>	X
esrj-21263	75	60	simplify(%,trig	simplify(%,trig	NOUN
esrj-21263	75	61	)	)	PUNCT
esrj-21263	75	62	;	;	PUNCT
esrj-21263	75	63	>	>	X
esrj-21263	75	64	solve({a[2,1]*u1+a[2,2]*u2=0},{u1	solve({a[2,1]*u1+a[2,2]*u2=0},{u1	NUM
esrj-21263	75	65	}	}	PUNCT
esrj-21263	75	66	)	)	PUNCT
esrj-21263	75	67	;	;	PUNCT
esrj-21263	75	68	>	>	X
esrj-21263	75	69	simplify(%,trig	simplify(%,trig	NOUN
esrj-21263	75	70	)	)	PUNCT
esrj-21263	75	71	;	;	PUNCT
esrj-21263	75	72	>	>	X
esrj-21263	76	1	rank(a	rank(a	NOUN
esrj-21263	76	2	)	)	PUNCT
esrj-21263	76	3	;	;	PUNCT
esrj-21263	76	4	>	>	PUNCT
esrj-21263	76	5	eg:=map(simplify	eg:=map(simplify	NOUN
esrj-21263	76	6	,	,	PUNCT
esrj-21263	76	7	columnspace(a	columnspace(a	NOUN
esrj-21263	76	8	)	)	PUNCT
esrj-21263	76	9	)	)	PUNCT
esrj-21263	76	10	;	;	PUNCT
esrj-21263	76	11	>	>	PUNCT
esrj-21263	76	12	plot([subs(consts	plot([subs(const	NOUN
esrj-21263	76	13	,	,	PUNCT
esrj-21263	76	14	dir_l	dir_l	NOUN
esrj-21263	76	15	,	,	PUNCT
esrj-21263	76	16	sqrt(rho	sqrt(rho	NOUN
esrj-21263	76	17	/	/	SYM
esrj-21263	76	18	k[1])),subs(consts	k[1])),subs(const	NOUN
esrj-21263	76	19	,	,	PUNCT
esrj-21263	76	20	dir_l	dir_l	NOUN
esrj-21263	76	21	,	,	PUNCT
esrj-21263	76	22	sqrt(rho	sqrt(rho	NOUN
esrj-21263	76	23	/	/	SYM
esrj-21263	76	24	k[2])),subs(consts	k[2])),subs(const	NOUN
esrj-21263	76	25	,	,	PUNCT
esrj-21263	76	26	dir_l	dir_l	NOUN
esrj-21263	76	27	,	,	PUNCT
esrj-21263	76	28	sqrt(rho	sqrt(rho	NOUN
esrj-21263	76	29	/	/	SYM
esrj-21263	76	30	k	k	X
esrj-21263	76	31	[	[	PUNCT
esrj-21263	76	32	3]))],theta=0	3]))],theta=0	NUM
esrj-21263	76	33	..	..	SYM
esrj-21263	76	34	2*pi	2*pi	NUM
esrj-21263	76	35	,	,	PUNCT
esrj-21263	76	36	color=[red	color=[red	ADJ
esrj-21263	76	37	,	,	PUNCT
esrj-21263	76	38	blue	blue	ADJ
esrj-21263	76	39	,	,	PUNCT
esrj-21263	76	40	green],coords=	green],coords=	NOUN
esrj-21263	76	41	polar	polar	ADJ
esrj-21263	76	42	)	)	PUNCT
esrj-21263	76	43	;	;	PUNCT
esrj-21263	76	44	>	>	PUNCT
esrj-21263	76	45	plot([subs(consts	plot([subs(const	NOUN
esrj-21263	76	46	,	,	PUNCT
esrj-21263	76	47	dir_l	dir_l	NOUN
esrj-21263	76	48	,	,	PUNCT
esrj-21263	76	49	sqrt(k[1]/rho)),subs(consts	sqrt(k[1]/rho)),subs(const	NOUN
esrj-21263	76	50	,	,	PUNCT
esrj-21263	76	51	dir_l	dir_l	NOUN
esrj-21263	76	52	,	,	PUNCT
esrj-21263	76	53	sqrt(k[2]/rho)),subs(consts	sqrt(k[2]/rho)),subs(const	NOUN
esrj-21263	76	54	,	,	PUNCT
esrj-21263	76	55	dir_l	dir_l	NOUN
esrj-21263	76	56	,	,	PUNCT
esrj-21263	76	57	sqrt(k[3]/r	sqrt(k[3]/r	PROPN
esrj-21263	76	58	ho))],theta=0	ho))],theta=0	PROPN
esrj-21263	76	59	..	..	PUNCT
esrj-21263	76	60	2*pi	2*pi	NUM
esrj-21263	76	61	,	,	PUNCT
esrj-21263	76	62	color=[red	color=[red	ADJ
esrj-21263	76	63	,	,	PUNCT
esrj-21263	76	64	blue	blue	ADJ
esrj-21263	76	65	,	,	PUNCT
esrj-21263	76	66	green],coords=	green],coords=	NOUN
esrj-21263	76	67	polar	polar	ADJ
esrj-21263	76	68	)	)	PUNCT
esrj-21263	76	69	;	;	PUNCT
esrj-21263	76	70	>	>	PUNCT
esrj-21263	76	71	phi_1:=theta+arctan(diff(sqrt(k[1]/rho),theta)/sqrt	phi_1:=theta+arctan(diff(sqrt(k[1]/rho),theta)/sqrt	PUNCT
esrj-21263	76	72	(	(	PUNCT
esrj-21263	76	73	k[1]/rho	k[1]/rho	PROPN
esrj-21263	76	74	)	)	PUNCT
esrj-21263	76	75	)	)	PUNCT
esrj-21263	76	76	;	;	PUNCT
esrj-21263	76	77	>	>	PUNCT
esrj-21263	76	78	v_1:=sqrt(sqrt(k[1]/rho)^2+diff(sqrt(k[1]/rho),the	v_1:=sqrt(sqrt(k[1]/rho)^2+diff(sqrt(k[1]/rho),the	DET
esrj-21263	76	79	ta)^2	ta)^2	PROPN
esrj-21263	76	80	)	)	PUNCT
esrj-21263	76	81	;	;	PUNCT
esrj-21263	76	82	>	>	X
esrj-21263	76	83	phi_2:=theta+arctan(diff(sqrt(k[2]/rho),theta)/sqrt	phi_2:=theta+arctan(diff(sqrt(k[2]/rho),theta)/sqrt	SYM
esrj-21263	76	84	(	(	PUNCT
esrj-21263	76	85	k[2]/rho	k[2]/rho	PROPN
esrj-21263	76	86	)	)	PUNCT
esrj-21263	76	87	):	):	PUNCT
esrj-21263	76	88	>	>	PUNCT
esrj-21263	76	89	v_2:=sqrt(sqrt(k[2]/rho)^2+diff(sqrt(k[2]/rho),the	v_2:=sqrt(sqrt(k[2]/rho)^2+diff(sqrt(k[2]/rho),the	DET
esrj-21263	76	90	ta)^2	ta)^2	PROPN
esrj-21263	76	91	):	):	PUNCT
esrj-21263	76	92	>	>	X
esrj-21263	76	93	phi_3:=theta+arctan(diff(sqrt(k[3]/rho),theta)/sqrt	phi_3:=theta+arctan(diff(sqrt(k[3]/rho),theta)/sqrt	PRON
esrj-21263	76	94	(	(	PUNCT
esrj-21263	76	95	k[3]/rho	k[3]/rho	PROPN
esrj-21263	76	96	)	)	PUNCT
esrj-21263	76	97	):	):	PUNCT
esrj-21263	76	98	>	>	PUNCT
esrj-21263	76	99	v_3:=sqrt(sqrt(k[3]/rho)^2+diff(sqrt(k[3]/rho),the	v_3:=sqrt(sqrt(k[3]/rho)^2+diff(sqrt(k[3]/rho),the	DET
esrj-21263	76	100	ta)^2	ta)^2	PROPN
esrj-21263	76	101	):	):	PUNCT
esrj-21263	76	102	>	>	X
esrj-21263	76	103	plot({[subs(consts	plot({[subs(const	NOUN
esrj-21263	76	104	,	,	PUNCT
esrj-21263	76	105	dir_l	dir_l	NOUN
esrj-21263	76	106	,	,	PUNCT
esrj-21263	76	107	v_1),subs(consts	v_1),subs(const	NOUN
esrj-21263	76	108	,	,	PUNCT
esrj-21263	76	109	dir_l	dir_l	NOUN
esrj-21263	76	110	,	,	PUNCT
esrj-21263	76	111	phi	phi	NOUN
esrj-21263	76	112	_	_	NOUN
esrj-21263	76	113	1),theta=0	1),theta=0	NUM
esrj-21263	76	114	..	..	SYM
esrj-21263	76	115	2*pi],[subs(consts	2*pi],[subs(const	NOUN
esrj-21263	76	116	,	,	PUNCT
esrj-21263	76	117	dir_l	dir_l	NOUN
esrj-21263	76	118	,	,	PUNCT
esrj-21263	76	119	v_2),subs(co	v_2),subs(co	NOUN
esrj-21263	76	120	nsts	nst	NOUN
esrj-21263	76	121	,	,	PUNCT
esrj-21263	76	122	dir_l	dir_l	NOUN
esrj-21263	76	123	,	,	PUNCT
esrj-21263	76	124	phi_2),theta=0	phi_2),theta=0	ADJ
esrj-21263	76	125	..	..	PUNCT
esrj-21263	76	126	2*pi],[subs(consts	2*pi],[subs(const	NOUN
esrj-21263	76	127	,	,	PUNCT
esrj-21263	76	128	dir_l	dir_l	NOUN
esrj-21263	76	129	,	,	PUNCT
esrj-21263	76	130	v_3),subs(consts	v_3),subs(const	NOUN
esrj-21263	76	131	,	,	PUNCT
esrj-21263	76	132	dir_l	dir_l	NOUN
esrj-21263	76	133	,	,	PUNCT
esrj-21263	76	134	phi_3),theta=0	phi_3),theta=0	ADV
esrj-21263	76	135	..	..	PUNCT
esrj-21263	76	136	2*pi]},colo	2*pi]},colo	PROPN
esrj-21263	76	137	r=[red	r=[re	VERB
esrj-21263	76	138	,	,	PUNCT
esrj-21263	76	139	blue	blue	ADJ
esrj-21263	76	140	,	,	PUNCT
esrj-21263	76	141	green],coords	green],coord	NOUN
esrj-21263	76	142	=	=	NOUN
esrj-21263	76	143	polar	polar	ADJ
esrj-21263	76	144	)	)	PUNCT
esrj-21263	76	145	;	;	PUNCT
esrj-21263	76	146	>	>	X
esrj-21263	76	147	plot({subs(consts	plot({subs(const	NOUN
esrj-21263	76	148	,	,	PUNCT
esrj-21263	76	149	dir_l	dir_l	NOUN
esrj-21263	76	150	,	,	PUNCT
esrj-21263	76	151	sqrt(k[3]/rho)),[subs(const	sqrt(k[3]/rho)),[subs(const	PROPN
esrj-21263	76	152	s	s	PROPN
esrj-21263	76	153	,	,	PUNCT
esrj-21263	76	154	dir_l	dir_l	NOUN
esrj-21263	76	155	,	,	PUNCT
esrj-21263	76	156	v_3),subs(consts	v_3),subs(const	NOUN
esrj-21263	76	157	,	,	PUNCT
esrj-21263	76	158	dir_l	dir_l	NOUN
esrj-21263	76	159	,	,	PUNCT
esrj-21263	76	160	phi_3),theta=0	phi_3),theta=0	ADV
esrj-21263	76	161	..	..	SYM
esrj-21263	76	162	pi/2	pi/2	NOUN
esrj-21263	76	163	]	]	PUNCT
esrj-21263	76	164	}	}	PUNCT
esrj-21263	76	165	,	,	PUNCT
esrj-21263	76	166	theta=0	theta=0	PROPN
esrj-21263	76	167	..	..	PUNCT
esrj-21263	76	168	pi/2,color=[red	pi/2,color=[re	VERB
esrj-21263	76	169	,	,	PUNCT
esrj-21263	76	170	blue],coords	blue],coord	NOUN
esrj-21263	76	171	=	=	NOUN
esrj-21263	76	172	polar	polar	ADJ
esrj-21263	76	173	)	)	PUNCT
esrj-21263	76	174	;	;	PUNCT
esrj-21263	76	175	in	in	ADP
esrj-21263	76	176	the	the	DET
esrj-21263	76	177	anterior	anterior	ADJ
esrj-21263	76	178	routine	routine	NOUN
esrj-21263	76	179	the	the	DET
esrj-21263	76	180	term	term	NOUN
esrj-21263	76	181	vti	vti	NOUN
esrj-21263	76	182	means	mean	VERB
esrj-21263	76	183	vertical	vertical	ADJ
esrj-21263	76	184	and	and	CCONJ
esrj-21263	76	185	transversally	transversally	ADV
esrj-21263	76	186	isotropic	isotropic	ADJ
esrj-21263	76	187	media	medium	NOUN
esrj-21263	76	188	.	.	PUNCT
esrj-21263	77	1	routine	routine	ADJ
esrj-21263	77	2	work	work	NOUN
esrj-21263	77	3	examples	example	NOUN
esrj-21263	77	4	this	this	DET
esrj-21263	77	5	program	program	NOUN
esrj-21263	77	6	plots	plot	VERB
esrj-21263	77	7	the	the	DET
esrj-21263	77	8	three	three	NUM
esrj-21263	77	9	wave	wave	NOUN
esrj-21263	77	10	surfaces	surface	NOUN
esrj-21263	77	11	for	for	ADP
esrj-21263	77	12	any	any	DET
esrj-21263	77	13	anisotropic	anisotropic	NOUN
esrj-21263	77	14	material	material	NOUN
esrj-21263	77	15	:	:	PUNCT
esrj-21263	77	16	slowness	slowness	NOUN
esrj-21263	77	17	surface	surface	NOUN
esrj-21263	77	18	,	,	PUNCT
esrj-21263	77	19	phase	phase	NOUN
esrj-21263	77	20	velocity	velocity	NOUN
esrj-21263	77	21	surface	surface	NOUN
esrj-21263	77	22	and	and	CCONJ
esrj-21263	77	23	group	group	NOUN
esrj-21263	77	24	velocity	velocity	NOUN
esrj-21263	77	25	surface	surface	NOUN
esrj-21263	77	26	.	.	PUNCT
esrj-21263	78	1	the	the	DET
esrj-21263	78	2	program	program	NOUN
esrj-21263	78	3	was	be	AUX
esrj-21263	78	4	tested	test	VERB
esrj-21263	78	5	using	use	VERB
esrj-21263	78	6	the	the	DET
esrj-21263	78	7	next	next	ADJ
esrj-21263	78	8	stiffness	stiffness	ADJ
esrj-21263	78	9	matrix	matrix	NOUN
esrj-21263	78	10	for	for	ADP
esrj-21263	78	11	the	the	DET
esrj-21263	78	12	vti	vti	NOUN
esrj-21263	78	13	case	case	NOUN
esrj-21263	78	14	:	:	PUNCT
esrj-21263	78	15	10	10	NUM
esrj-21263	78	16	3	3	NUM
esrj-21263	78	17	3.4	3.4	NUM
esrj-21263	78	18	0.9	0.9	NUM
esrj-21263	78	19	1.07	1.07	NUM
esrj-21263	78	20	0	0	NUM
esrj-21263	78	21	0	0	NUM
esrj-21263	78	22	6	6	NUM
esrj-21263	78	23	0.94	0.94	NUM
esrj-21263	78	24	1.07	1.07	NUM
esrj-21263	78	25	0	0	NUM
esrj-21263	78	26	0	0	NUM
esrj-21263	78	27	0	0	NUM
esrj-21263	78	28	4	4	NUM
esrj-21263	78	29	3.46	3.46	NUM
esrj-21263	78	30	1.07	1.07	NUM
esrj-21263	78	31	0	0	NUM
esrj-21263	78	32	0	0	NUM
esrj-21263	78	33	0	0	NUM
esrj-21263	78	34	1.07	1.07	NUM
esrj-21263	78	35	2.84	2.84	NUM
esrj-21263	78	36	0	0	NUM
esrj-21263	78	37	0	0	NUM
esrj-21263	78	38	0	0	NUM
esrj-21263	78	39	10	10	NUM
esrj-21263	78	40	,	,	PUNCT
esrj-21263	78	41	2500	2500	NUM
esrj-21263	78	42	0	0	NUM
esrj-21263	78	43	0	0	NUM
esrj-21263	78	44	0.836	0.836	NUM
esrj-21263	78	45	0	0	NUM
esrj-21263	78	46	0	0	NUM
esrj-21263	78	47	0	0	NUM
esrj-21263	78	48	0	0	NUM
esrj-21263	78	49	0	0	NUM
esrj-21263	78	50	0.836	0.836	NUM
esrj-21263	78	51	0	0	NUM
esrj-21263	78	52	0	0	NUM
esrj-21263	78	53	0	0	NUM
esrj-21263	78	54	0	0	NUM
esrj-21263	78	55	0	0	NUM
esrj-21263	78	56	0	0	NUM
esrj-21263	78	57	1.26	1.26	NUM
esrj-21263	78	58	kgc	kgc	NOUN
esrj-21263	78	59	pa	pa	PROPN
esrj-21263	78	60	m	m	PROPN
esrj-21263	78	61	ρ	ρ	PROPN
esrj-21263	78	62	⎛	⎛	NOUN
esrj-21263	78	63	⎞	⎞	PROPN
esrj-21263	78	64	⎜	⎜	PROPN
esrj-21263	78	65	⎟	⎟	PROPN
esrj-21263	78	66	⎜	⎜	PROPN
esrj-21263	78	67	⎟	⎟	PROPN
esrj-21263	78	68	⎜	⎜	X
esrj-21263	78	69	⎟	⎟	PROPN
esrj-21263	78	70	=	=	PUNCT
esrj-21263	78	71	⋅⎜	⋅⎜	X
esrj-21263	78	72	⎟	⎟	PROPN
esrj-21263	78	73	⎜	⎜	PROPN
esrj-21263	78	74	⎟	⎟	PROPN
esrj-21263	78	75	⎜	⎜	PROPN
esrj-21263	78	76	⎟	⎟	PROPN
esrj-21263	78	77	⎜	⎜	PROPN
esrj-21263	78	78	⎟⎜	⎟⎜	VERB
esrj-21263	78	79	⎟	⎟	X
esrj-21263	78	80	⎝	⎝	PUNCT
esrj-21263	78	81	⎠	⎠	PROPN
esrj-21263	78	82	ij	ij	NOUN
esrj-21263	78	83	=	=	NOUN
esrj-21263	78	84	figure	figure	NOUN
esrj-21263	78	85	1	1	NUM
esrj-21263	78	86	.	.	PUNCT
esrj-21263	78	87	stiffness	stiffness	ADJ
esrj-21263	78	88	matrix	matrix	NOUN
esrj-21263	78	89	for	for	ADP
esrj-21263	78	90	sandstone	sandstone	NOUN
esrj-21263	78	91	(	(	PUNCT
esrj-21263	78	92	thomsen	thomsen	PROPN
esrj-21263	78	93	,	,	PUNCT
esrj-21263	78	94	2000	2000	NUM
esrj-21263	78	95	)	)	PUNCT
esrj-21263	79	1	conclusions	conclusion	VERB
esrj-21263	79	2	the	the	DET
esrj-21263	79	3	theoretical	theoretical	ADJ
esrj-21263	79	4	study	study	NOUN
esrj-21263	79	5	of	of	ADP
esrj-21263	79	6	anisotropic	anisotropic	NOUN
esrj-21263	79	7	media	medium	NOUN
esrj-21263	79	8	is	be	AUX
esrj-21263	79	9	important	important	ADJ
esrj-21263	79	10	for	for	ADP
esrj-21263	79	11	studying	study	VERB
esrj-21263	79	12	the	the	DET
esrj-21263	79	13	effect	effect	NOUN
esrj-21263	79	14	of	of	ADP
esrj-21263	79	15	different	different	ADJ
esrj-21263	79	16	type	type	NOUN
esrj-21263	79	17	of	of	ADP
esrj-21263	79	18	media	medium	NOUN
esrj-21263	79	19	on	on	ADP
esrj-21263	79	20	wave	wave	NOUN
esrj-21263	79	21	propagation	propagation	NOUN
esrj-21263	79	22	.	.	PUNCT
esrj-21263	80	1	particularly	particularly	ADV
esrj-21263	80	2	the	the	DET
esrj-21263	80	3	effect	effect	NOUN
esrj-21263	80	4	that	that	PRON
esrj-21263	80	5	fractures	fracture	VERB
esrj-21263	80	6	,	,	PUNCT
esrj-21263	80	7	typical	typical	ADJ
esrj-21263	80	8	of	of	ADP
esrj-21263	80	9	colombian	colombian	ADJ
esrj-21263	80	10	foothills	foothill	NOUN
esrj-21263	80	11	.	.	PUNCT
esrj-21263	81	1	we	we	PRON
esrj-21263	81	2	expect	expect	VERB
esrj-21263	81	3	to	to	PART
esrj-21263	81	4	continue	continue	VERB
esrj-21263	81	5	our	our	PRON
esrj-21263	81	6	study	study	NOUN
esrj-21263	81	7	of	of	ADP
esrj-21263	81	8	this	this	DET
esrj-21263	81	9	concepts	concept	NOUN
esrj-21263	81	10	and	and	CCONJ
esrj-21263	81	11	the	the	DET
esrj-21263	81	12	development	development	NOUN
esrj-21263	81	13	of	of	ADP
esrj-21263	81	14	computational	computational	ADJ
esrj-21263	81	15	tools	tool	NOUN
esrj-21263	81	16	that	that	PRON
esrj-21263	81	17	simulate	simulate	VERB
esrj-21263	81	18	wave	wave	NOUN
esrj-21263	81	19	propagation	propagation	NOUN
esrj-21263	81	20	in	in	ADP
esrj-21263	81	21	general	general	ADJ
esrj-21263	81	22	transversal	transversal	ADJ
esrj-21263	81	23	inhomogeneous	inhomogeneous	ADJ
esrj-21263	81	24	media	medium	NOUN
esrj-21263	81	25	.	.	PUNCT
esrj-21263	82	1	figure	figure	NOUN
esrj-21263	82	2	2	2	NUM
esrj-21263	82	3	.	.	PUNCT
esrj-21263	82	4	slowness	slowness	NOUN
esrj-21263	82	5	surfaces	surface	NOUN
esrj-21263	82	6	for	for	ADP
esrj-21263	82	7	sandstone	sandstone	NOUN
esrj-21263	82	8	.	.	PUNCT
esrj-21263	83	1	horizontal	horizontal	ADJ
esrj-21263	83	2	axis	axis	NOUN
esrj-21263	83	3	x3	x3	PROPN
esrj-21263	83	4	.	.	PUNCT
esrj-21263	84	1	vertical	vertical	ADJ
esrj-21263	84	2	axis	axis	NOUN
esrj-21263	85	1	x1	x1	PROPN
esrj-21263	85	2	.	.	PUNCT
esrj-21263	85	3	slowness	slowness	NOUN
esrj-21263	85	4	given	give	VERB
esrj-21263	85	5	in	in	ADP
esrj-21263	85	6	s	s	PROPN
esrj-21263	85	7	/	/	SYM
esrj-21263	85	8	m.	m.	NOUN
esrj-21263	85	9	figure	figure	NOUN
esrj-21263	85	10	3	3	NUM
esrj-21263	85	11	.	.	PUNCT
esrj-21263	85	12	slowness	slowness	NOUN
esrj-21263	85	13	surfaces	surface	NOUN
esrj-21263	85	14	for	for	ADP
esrj-21263	85	15	sandstone	sandstone	NOUN
esrj-21263	85	16	.	.	PUNCT
esrj-21263	86	1	horizontal	horizontal	ADJ
esrj-21263	86	2	axis	axis	NOUN
esrj-21263	86	3	x3	x3	PROPN
esrj-21263	86	4	.	.	PUNCT
esrj-21263	87	1	vertical	vertical	ADJ
esrj-21263	87	2	axis	axis	PROPN
esrj-21263	88	1	x1	x1	PROPN
esrj-21263	88	2	.	.	PUNCT
esrj-21263	88	3	phase	phase	NOUN
esrj-21263	88	4	velocity	velocity	NOUN
esrj-21263	88	5	given	give	VERB
esrj-21263	88	6	in	in	ADP
esrj-21263	88	7	m	m	PROPN
esrj-21263	88	8	/	/	SYM
esrj-21263	88	9	s.	s.	PROPN
esrj-21263	88	10	acknowledgments	acknowledgment	NOUN
esrj-21263	88	11	the	the	DET
esrj-21263	88	12	authors	author	NOUN
esrj-21263	88	13	wish	wish	VERB
esrj-21263	88	14	to	to	PART
esrj-21263	88	15	thank	thank	VERB
esrj-21263	88	16	the	the	DET
esrj-21263	88	17	support	support	NOUN
esrj-21263	88	18	received	receive	VERB
esrj-21263	88	19	from	from	ADP
esrj-21263	88	20	the	the	DET
esrj-21263	88	21	colombian	colombian	PROPN
esrj-21263	88	22	institute	institute	PROPN
esrj-21263	88	23	of	of	ADP
esrj-21263	88	24	petroleum	petroleum	PROPN
esrj-21263	88	25	(	(	PUNCT
esrj-21263	88	26	icp	icp	PROPN
esrj-21263	88	27	)	)	PUNCT
esrj-21263	88	28	,	,	PUNCT
esrj-21263	88	29	the	the	DET
esrj-21263	88	30	research	research	NOUN
esrj-21263	88	31	division	division	NOUN
esrj-21263	88	32	of	of	ADP
esrj-21263	88	33	ecopetrol	ecopetrol	NOUN
esrj-21263	88	34	,	,	PUNCT
esrj-21263	88	35	in	in	ADP
esrj-21263	88	36	particular	particular	ADJ
esrj-21263	88	37	the	the	DET
esrj-21263	88	38	research	research	NOUN
esrj-21263	88	39	unit	unit	NOUN
esrj-21263	88	40	uin	uin	PROPN
esrj-21263	88	41	,	,	PUNCT
esrj-21263	88	42	which	which	PRON
esrj-21263	88	43	had	have	AUX
esrj-21263	88	44	let	let	VERB
esrj-21263	88	45	accessed	access	VERB
esrj-21263	88	46	laboratory	laboratory	NOUN
esrj-21263	88	47	data	datum	NOUN
esrj-21263	88	48	as	as	ADV
esrj-21263	88	49	well	well	ADV
esrj-21263	88	50	as	as	ADP
esrj-21263	88	51	information	information	NOUN
esrj-21263	88	52	related	relate	VERB
esrj-21263	88	53	to	to	PART
esrj-21263	88	54	anisotropy	anisotropy	VERB
esrj-21263	88	55	.	.	PUNCT
esrj-21263	89	1	references	reference	NOUN
esrj-21263	89	2	sen	sen	PROPN
esrj-21263	89	3	,	,	PUNCT
esrj-21263	89	4	mrinal	mrinal	PROPN
esrj-21263	89	5	.	.	PUNCT
esrj-21263	90	1	(	(	PUNCT
esrj-21263	90	2	2002	2002	NUM
esrj-21263	90	3	)	)	PUNCT
esrj-21263	90	4	lectures	lecture	NOUN
esrj-21263	90	5	:	:	PUNCT
esrj-21263	90	6	“	"	PUNCT
esrj-21263	90	7	seismic	seismic	ADJ
esrj-21263	90	8	wave	wave	NOUN
esrj-21263	90	9	propagation	propagation	NOUN
esrj-21263	90	10	in	in	ADP
esrj-21263	90	11	anisotropic	anisotropic	NOUN
esrj-21263	90	12	media	medium	NOUN
esrj-21263	90	13	”	"	PUNCT
esrj-21263	90	14	.	.	PUNCT
esrj-21263	91	1	the	the	DET
esrj-21263	91	2	university	university	PROPN
esrj-21263	91	3	of	of	ADP
esrj-21263	91	4	texas	texas	PROPN
esrj-21263	91	5	at	at	ADP
esrj-21263	91	6	austin	austin	PROPN
esrj-21263	91	7	.	.	PUNCT
esrj-21263	91	8	krishnaswamy	krishnaswamy	PROPN
esrj-21263	91	9	,	,	PUNCT
esrj-21263	91	10	sridhar	sridhar	NOUN
esrj-21263	91	11	.	.	PUNCT
esrj-21263	92	1	(	(	PUNCT
esrj-21263	92	2	2004	2004	NUM
esrj-21263	92	3	)	)	PUNCT
esrj-21263	92	4	“	"	PUNCT
esrj-21263	92	5	acousto	acousto	ADJ
esrj-21263	92	6	-	-	PUNCT
esrj-21263	92	7	optical	optical	ADJ
esrj-21263	92	8	methods	method	NOUN
esrj-21263	92	9	of	of	ADP
esrj-21263	92	10	materials	material	NOUN
esrj-21263	92	11	characterization	characterization	NOUN
esrj-21263	92	12	”	"	PUNCT
esrj-21263	92	13	.	.	PUNCT
esrj-21263	93	1	northwestern	northwestern	PROPN
esrj-21263	93	2	university	university	PROPN
esrj-21263	93	3	.	.	PUNCT
esrj-21263	94	1	pšenčík	pšenčík	PROPN
esrj-21263	94	2	,	,	PUNCT
esrj-21263	94	3	ivan	ivan	PROPN
esrj-21263	94	4	.	.	PUNCT
esrj-21263	95	1	(	(	PUNCT
esrj-21263	95	2	1994	1994	NUM
esrj-21263	95	3	)	)	PUNCT
esrj-21263	95	4	“	"	PUNCT
esrj-21263	95	5	introduction	introduction	NOUN
esrj-21263	95	6	to	to	ADP
esrj-21263	95	7	seismic	seismic	ADJ
esrj-21263	95	8	methods	method	NOUN
esrj-21263	95	9	”	"	PUNCT
esrj-21263	95	10	.	.	PUNCT
esrj-21263	96	1	pppg	pppg	PROPN
esrj-21263	96	2	/	/	SYM
esrj-21263	96	3	ufba	ufba	PROPN
esrj-21263	96	4	,	,	PUNCT
esrj-21263	96	5	el	el	PROPN
esrj-21263	96	6	salvador	salvador	PROPN
esrj-21263	96	7	.	.	PUNCT
esrj-21263	97	1	mase	mase	PROPN
esrj-21263	97	2	,	,	PUNCT
esrj-21263	97	3	george	george	PROPN
esrj-21263	97	4	e.	e.	PROPN
esrj-21263	97	5	(	(	PUNCT
esrj-21263	97	6	1970	1970	NUM
esrj-21263	97	7	)	)	PUNCT
esrj-21263	97	8	“	"	PUNCT
esrj-21263	97	9	theory	theory	NOUN
esrj-21263	97	10	and	and	CCONJ
esrj-21263	97	11	problems	problem	NOUN
esrj-21263	97	12	of	of	ADP
esrj-21263	97	13	continuum	continuum	ADJ
esrj-21263	97	14	mechanics	mechanic	NOUN
esrj-21263	97	15	”	"	PUNCT
esrj-21263	97	16	.	.	PUNCT
esrj-21263	98	1	schaum	schaum	PROPN
esrj-21263	98	2	’s	’s	PART
esrj-21263	98	3	outline	outline	PROPN
esrj-21263	98	4	series	series	PROPN
esrj-21263	98	5	,	,	PUNCT
esrj-21263	98	6	mcgraw	mcgraw	PROPN
esrj-21263	98	7	-	-	PUNCT
esrj-21263	98	8	hill	hill	PROPN
esrj-21263	98	9	thomsen	thomsen	PROPN
esrj-21263	98	10	,	,	PUNCT
esrj-21263	98	11	leon	leon	PROPN
esrj-21263	98	12	.	.	PUNCT
esrj-21263	99	1	(	(	PUNCT
esrj-21263	99	2	2000	2000	NUM
esrj-21263	99	3	)	)	PUNCT
esrj-21263	99	4	“	"	PUNCT
esrj-21263	99	5	weak	weak	ADJ
esrj-21263	99	6	elastic	elastic	ADJ
esrj-21263	99	7	anisotropy	anisotropy	NOUN
esrj-21263	99	8	”	"	PUNCT
esrj-21263	99	9	.	.	PUNCT
esrj-21263	100	1	applied	apply	VERB
esrj-21263	100	2	seismic	seismic	ADJ
esrj-21263	100	3	anisotropy	anisotropy	NOUN
esrj-21263	100	4	:	:	PUNCT
esrj-21263	100	5	theory	theory	NOUN
esrj-21263	100	6	,	,	PUNCT
esrj-21263	100	7	background	background	NOUN
esrj-21263	100	8	,	,	PUNCT
esrj-21263	100	9	and	and	CCONJ
esrj-21263	100	10	field	field	NOUN
esrj-21263	100	11	studies	study	NOUN
esrj-21263	100	12	.	.	PUNCT
esrj-21263	101	1	geophysics	geophysics	PROPN
esrj-21263	101	2	reprint	reprint	PROPN
esrj-21263	101	3	series	series	PROPN
esrj-21263	101	4	no	no	INTJ
esrj-21263	101	5	.	.	PROPN
esrj-21263	101	6	20	20	NUM
esrj-21263	101	7	,	,	PUNCT
esrj-21263	101	8	seg	seg	PROPN
esrj-21263	101	9	.	.	PROPN
esrj-21263	101	10	67	67	NUM