id	sid	tid	token	lemma	pos
ejpam-194	1	1	8_kar.dvi	8_kar.dvi	PROPN
ejpam-194	1	2	european	european	PROPN
ejpam-194	1	3	journal	journal	PROPN
ejpam-194	1	4	of	of	ADP
ejpam-194	1	5	pure	pure	ADJ
ejpam-194	1	6	and	and	CCONJ
ejpam-194	1	7	applied	apply	VERB
ejpam-194	1	8	mathematics	mathematic	NOUN
ejpam-194	1	9	vol	vol	NOUN
ejpam-194	1	10	.	.	PROPN
ejpam-194	2	1	2	2	NUM
ejpam-194	2	2	,	,	PUNCT
ejpam-194	2	3	no	no	INTJ
ejpam-194	2	4	.	.	NOUN
ejpam-194	2	5	1	1	NUM
ejpam-194	2	6	,	,	PUNCT
ejpam-194	2	7	2009	2009	NUM
ejpam-194	2	8	,	,	PUNCT
ejpam-194	2	9	(	(	PUNCT
ejpam-194	2	10	125	125	NUM
ejpam-194	2	11	-	-	SYM
ejpam-194	2	12	146	146	NUM
ejpam-194	2	13	)	)	PUNCT
ejpam-194	2	14	issn	issn	PROPN
ejpam-194	2	15	1307	1307	NUM
ejpam-194	2	16	-	-	SYM
ejpam-194	2	17	5543	5543	NUM
ejpam-194	2	18	–	–	PUNCT
ejpam-194	2	19	www.ejpam.com	www.ejpam.com	X
ejpam-194	2	20	generalized	generalized	ADJ
ejpam-194	2	21	thermoelasticity	thermoelasticity	NOUN
ejpam-194	2	22	problem	problem	NOUN
ejpam-194	2	23	of	of	ADP
ejpam-194	2	24	a	a	DET
ejpam-194	2	25	hollow	hollow	ADJ
ejpam-194	2	26	sphere	sphere	NOUN
ejpam-194	2	27	under	under	ADP
ejpam-194	2	28	thermal	thermal	ADJ
ejpam-194	2	29	shock	shock	NOUN
ejpam-194	2	30	avijit	avijit	PROPN
ejpam-194	2	31	kar∗	kar∗	PROPN
ejpam-194	2	32	and	and	CCONJ
ejpam-194	2	33	m.	m.	PROPN
ejpam-194	2	34	kanoria	kanoria	PROPN
ejpam-194	2	35	department	department	PROPN
ejpam-194	2	36	of	of	ADP
ejpam-194	2	37	applied	apply	VERB
ejpam-194	2	38	mathematics	mathematic	NOUN
ejpam-194	2	39	,	,	PUNCT
ejpam-194	2	40	university	university	NOUN
ejpam-194	2	41	of	of	ADP
ejpam-194	2	42	calcutta	calcutta	PROPN
ejpam-194	2	43	,	,	PUNCT
ejpam-194	2	44	92	92	NUM
ejpam-194	2	45	,	,	PUNCT
ejpam-194	2	46	a.	a.	NOUN
ejpam-194	2	47	p.	p.	PROPN
ejpam-194	2	48	c.	c.	PROPN
ejpam-194	2	49	road	road	PROPN
ejpam-194	2	50	,	,	PUNCT
ejpam-194	2	51	kolkata	kolkata	NOUN
ejpam-194	2	52	700	700	NUM
ejpam-194	2	53	009	009	NUM
ejpam-194	2	54	,	,	PUNCT
ejpam-194	2	55	india	india	PROPN
ejpam-194	2	56	abstract	abstract	NOUN
ejpam-194	2	57	.	.	PUNCT
ejpam-194	3	1	this	this	DET
ejpam-194	3	2	problem	problem	NOUN
ejpam-194	3	3	deals	deal	VERB
ejpam-194	3	4	with	with	ADP
ejpam-194	3	5	the	the	DET
ejpam-194	3	6	thermo	thermo	NOUN
ejpam-194	3	7	-	-	PUNCT
ejpam-194	3	8	elastic	elastic	ADJ
ejpam-194	3	9	interaction	interaction	NOUN
ejpam-194	3	10	due	due	ADP
ejpam-194	3	11	to	to	PART
ejpam-194	3	12	step	step	VERB
ejpam-194	3	13	input	input	NOUN
ejpam-194	3	14	of	of	ADP
ejpam-194	3	15	temperature	temperature	NOUN
ejpam-194	3	16	on	on	ADP
ejpam-194	3	17	the	the	DET
ejpam-194	3	18	boundaries	boundary	NOUN
ejpam-194	3	19	of	of	ADP
ejpam-194	3	20	a	a	DET
ejpam-194	3	21	homogeneous	homogeneous	ADJ
ejpam-194	3	22	isotropic	isotropic	NOUN
ejpam-194	3	23	spherical	spherical	ADJ
ejpam-194	3	24	shell	shell	NOUN
ejpam-194	3	25	in	in	ADP
ejpam-194	3	26	the	the	DET
ejpam-194	3	27	context	context	NOUN
ejpam-194	3	28	of	of	ADP
ejpam-194	3	29	generalized	generalized	ADJ
ejpam-194	3	30	theories	theory	NOUN
ejpam-194	3	31	of	of	ADP
ejpam-194	3	32	thermo	thermo	NOUN
ejpam-194	3	33	-	-	PUNCT
ejpam-194	3	34	elasticity	elasticity	NOUN
ejpam-194	3	35	.	.	PUNCT
ejpam-194	4	1	using	use	VERB
ejpam-194	4	2	the	the	DET
ejpam-194	4	3	laplace	laplace	NOUN
ejpam-194	4	4	transformation	transformation	NOUN
ejpam-194	4	5	the	the	DET
ejpam-194	4	6	fundamental	fundamental	ADJ
ejpam-194	4	7	equations	equation	NOUN
ejpam-194	4	8	have	have	AUX
ejpam-194	4	9	been	be	AUX
ejpam-194	4	10	expressed	express	VERB
ejpam-194	4	11	in	in	ADP
ejpam-194	4	12	the	the	DET
ejpam-194	4	13	form	form	NOUN
ejpam-194	4	14	of	of	ADP
ejpam-194	4	15	vector	vector	NOUN
ejpam-194	4	16	-	-	PUNCT
ejpam-194	4	17	matrix	matrix	NOUN
ejpam-194	4	18	differential	differential	NOUN
ejpam-194	4	19	equation	equation	NOUN
ejpam-194	4	20	which	which	PRON
ejpam-194	4	21	is	be	AUX
ejpam-194	4	22	then	then	ADV
ejpam-194	4	23	solved	solve	VERB
ejpam-194	4	24	by	by	ADP
ejpam-194	4	25	eigen	eigen	PROPN
ejpam-194	4	26	value	value	NOUN
ejpam-194	4	27	approach	approach	NOUN
ejpam-194	4	28	.	.	PUNCT
ejpam-194	5	1	the	the	DET
ejpam-194	5	2	inverse	inverse	NOUN
ejpam-194	5	3	of	of	ADP
ejpam-194	5	4	the	the	DET
ejpam-194	5	5	transform	transform	NOUN
ejpam-194	5	6	solution	solution	NOUN
ejpam-194	5	7	is	be	AUX
ejpam-194	5	8	carried	carry	VERB
ejpam-194	5	9	out	out	ADP
ejpam-194	5	10	by	by	ADP
ejpam-194	5	11	applying	apply	VERB
ejpam-194	5	12	a	a	DET
ejpam-194	5	13	method	method	NOUN
ejpam-194	5	14	of	of	ADP
ejpam-194	5	15	bellman	bellman	NOUN
ejpam-194	5	16	et	et	PROPN
ejpam-194	5	17	al	al	PROPN
ejpam-194	5	18	.	.	PROPN
ejpam-194	5	19	stresses	stress	NOUN
ejpam-194	5	20	,	,	PUNCT
ejpam-194	5	21	displacements	displacement	NOUN
ejpam-194	5	22	and	and	CCONJ
ejpam-194	5	23	temperature	temperature	NOUN
ejpam-194	5	24	distribution	distribution	NOUN
ejpam-194	5	25	have	have	AUX
ejpam-194	5	26	been	be	AUX
ejpam-194	5	27	computed	compute	VERB
ejpam-194	5	28	numerically	numerically	ADV
ejpam-194	5	29	and	and	CCONJ
ejpam-194	5	30	presented	present	VERB
ejpam-194	5	31	graphically	graphically	ADV
ejpam-194	5	32	in	in	ADP
ejpam-194	5	33	a	a	DET
ejpam-194	5	34	number	number	NOUN
ejpam-194	5	35	of	of	ADP
ejpam-194	5	36	figures	figure	NOUN
ejpam-194	5	37	for	for	ADP
ejpam-194	5	38	copper	copper	NOUN
ejpam-194	5	39	material	material	NOUN
ejpam-194	5	40	.	.	PUNCT
ejpam-194	6	1	a	a	DET
ejpam-194	6	2	comparison	comparison	NOUN
ejpam-194	6	3	of	of	ADP
ejpam-194	6	4	the	the	DET
ejpam-194	6	5	results	result	NOUN
ejpam-194	6	6	for	for	ADP
ejpam-194	6	7	different	different	ADJ
ejpam-194	6	8	theories	theory	NOUN
ejpam-194	6	9	(	(	PUNCT
ejpam-194	6	10	cte	cte	NOUN
ejpam-194	6	11	,	,	PUNCT
ejpam-194	6	12	ccte	ccte	NOUN
ejpam-194	6	13	,	,	PUNCT
ejpam-194	6	14	trdte(gl	trdte(gl	PROPN
ejpam-194	6	15	)	)	PUNCT
ejpam-194	6	16	,	,	PUNCT
ejpam-194	6	17	tewoed(gn	tewoed(gn	PROPN
ejpam-194	6	18	-	-	PUNCT
ejpam-194	6	19	ii	ii	NOUN
ejpam-194	6	20	)	)	PUNCT
ejpam-194	6	21	,	,	PUNCT
ejpam-194	6	22	tewed(gn	tewed(gn	NOUN
ejpam-194	6	23	-	-	PUNCT
ejpam-194	6	24	iii	iii	NOUN
ejpam-194	6	25	)	)	PUNCT
ejpam-194	6	26	)	)	PUNCT
ejpam-194	6	27	is	be	AUX
ejpam-194	6	28	presented	present	VERB
ejpam-194	6	29	.	.	PUNCT
ejpam-194	7	1	when	when	SCONJ
ejpam-194	7	2	the	the	DET
ejpam-194	7	3	outer	outer	ADJ
ejpam-194	7	4	radius	radius	NOUN
ejpam-194	7	5	of	of	ADP
ejpam-194	7	6	the	the	DET
ejpam-194	7	7	shell	shell	NOUN
ejpam-194	7	8	tends	tend	VERB
ejpam-194	7	9	to	to	PART
ejpam-194	7	10	infinity	infinity	VERB
ejpam-194	7	11	,	,	PUNCT
ejpam-194	7	12	the	the	DET
ejpam-194	7	13	corresponding	corresponding	ADJ
ejpam-194	7	14	results	result	NOUN
ejpam-194	7	15	agree	agree	VERB
ejpam-194	7	16	with	with	ADP
ejpam-194	7	17	that	that	PRON
ejpam-194	7	18	of	of	ADP
ejpam-194	7	19	existing	exist	VERB
ejpam-194	7	20	literature	literature	NOUN
ejpam-194	7	21	.	.	PUNCT
ejpam-194	8	1	key	key	ADJ
ejpam-194	8	2	words	word	NOUN
ejpam-194	8	3	:	:	PUNCT
ejpam-194	8	4	generalized	generalized	ADJ
ejpam-194	8	5	thermo	thermo	NOUN
ejpam-194	8	6	-	-	PUNCT
ejpam-194	8	7	elasticity	elasticity	NOUN
ejpam-194	8	8	,	,	PUNCT
ejpam-194	8	9	energy	energy	NOUN
ejpam-194	8	10	dissipation	dissipation	NOUN
ejpam-194	8	11	,	,	PUNCT
ejpam-194	8	12	laplace	laplace	NOUN
ejpam-194	8	13	transform	transform	NOUN
ejpam-194	8	14	,	,	PUNCT
ejpam-194	8	15	step	step	NOUN
ejpam-194	8	16	input	input	NOUN
ejpam-194	8	17	temperature	temperature	NOUN
ejpam-194	8	18	,	,	PUNCT
ejpam-194	8	19	vector	vector	NOUN
ejpam-194	8	20	-	-	PUNCT
ejpam-194	8	21	matrix	matrix	NOUN
ejpam-194	8	22	differential	differential	NOUN
ejpam-194	8	23	equation	equation	NOUN
ejpam-194	8	24	.	.	PUNCT
ejpam-194	9	1	1	1	X
ejpam-194	9	2	.	.	X
ejpam-194	9	3	introduction	introduction	NOUN
ejpam-194	9	4	the	the	DET
ejpam-194	9	5	classical	classical	ADJ
ejpam-194	9	6	theories	theory	NOUN
ejpam-194	9	7	of	of	ADP
ejpam-194	9	8	thermo	thermo	NOUN
ejpam-194	9	9	-	-	PUNCT
ejpam-194	9	10	elasticity	elasticity	NOUN
ejpam-194	9	11	involving	involve	VERB
ejpam-194	9	12	infinite	infinite	ADJ
ejpam-194	9	13	speed	speed	NOUN
ejpam-194	9	14	of	of	ADP
ejpam-194	9	15	propagation	propagation	NOUN
ejpam-194	9	16	of	of	ADP
ejpam-194	9	17	thermal	thermal	ADJ
ejpam-194	9	18	signals	signal	NOUN
ejpam-194	9	19	,	,	PUNCT
ejpam-194	9	20	contradict	contradict	VERB
ejpam-194	9	21	physical	physical	ADJ
ejpam-194	9	22	facts	fact	NOUN
ejpam-194	9	23	.	.	PUNCT
ejpam-194	10	1	during	during	ADP
ejpam-194	10	2	the	the	DET
ejpam-194	10	3	last	last	ADJ
ejpam-194	10	4	three	three	NUM
ejpam-194	10	5	decades	decade	NOUN
ejpam-194	10	6	,	,	PUNCT
ejpam-194	10	7	non	non	ADJ
ejpam-194	10	8	-	-	ADJ
ejpam-194	10	9	classical	classical	ADJ
ejpam-194	10	10	theories	theory	NOUN
ejpam-194	10	11	involving	involve	VERB
ejpam-194	10	12	finite	finite	ADJ
ejpam-194	10	13	speed	speed	NOUN
ejpam-194	10	14	of	of	ADP
ejpam-194	10	15	heat	heat	NOUN
ejpam-194	10	16	transportation	transportation	NOUN
ejpam-194	10	17	in	in	ADP
ejpam-194	10	18	elastic	elastic	ADJ
ejpam-194	10	19	solids	solid	NOUN
ejpam-194	10	20	have	have	AUX
ejpam-194	10	21	been	be	AUX
ejpam-194	10	22	developed	develop	VERB
ejpam-194	10	23	to	to	PART
ejpam-194	10	24	remove	remove	VERB
ejpam-194	10	25	this	this	DET
ejpam-194	10	26	paradox	paradox	NOUN
ejpam-194	10	27	.	.	PUNCT
ejpam-194	11	1	in	in	ADP
ejpam-194	11	2	contrast	contrast	NOUN
ejpam-194	11	3	with	with	ADP
ejpam-194	11	4	the	the	DET
ejpam-194	11	5	conventional	conventional	ADJ
ejpam-194	11	6	coupled	couple	VERB
ejpam-194	11	7	thermo	thermo	NOUN
ejpam-194	11	8	-	-	PUNCT
ejpam-194	11	9	elasticity	elasticity	NOUN
ejpam-194	11	10	theory	theory	NOUN
ejpam-194	11	11	[	[	X
ejpam-194	11	12	1	1	NUM
ejpam-194	11	13	]	]	PUNCT
ejpam-194	11	14	,	,	PUNCT
ejpam-194	11	15	∗corresponding	∗corresponde	VERB
ejpam-194	11	16	author	author	NOUN
ejpam-194	11	17	.	.	PUNCT
ejpam-194	12	1	email	email	NOUN
ejpam-194	12	2	address	address	NOUN
ejpam-194	12	3	:	:	PUNCT
ejpam-194	12	4	akmathemati	akmathemati	PROPN
ejpam-194	12	5	s	s	PROPN
ejpam-194	12	6	�	�	PROPN
ejpam-194	12	7	yahoo	yahoo	PROPN
ejpam-194	12	8	.	.	PUNCT
ejpam-194	13	1	om	om	PROPN
ejpam-194	13	2	(	(	PUNCT
ejpam-194	13	3	a.	a.	PROPN
ejpam-194	13	4	kar	kar	PROPN
ejpam-194	13	5	)	)	PUNCT
ejpam-194	13	6	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-194	14	1	125	125	NUM
ejpam-194	14	2	c	c	NOUN
ejpam-194	14	3	©	©	PROPN
ejpam-194	14	4	2009	2009	NUM
ejpam-194	14	5	ejpam	ejpam	NOUN
ejpam-194	14	6	all	all	DET
ejpam-194	14	7	rights	right	NOUN
ejpam-194	14	8	reserved	reserve	VERB
ejpam-194	14	9	.	.	PUNCT
ejpam-194	15	1	a.	a.	PROPN
ejpam-194	15	2	kar	kar	PROPN
ejpam-194	15	3	and	and	CCONJ
ejpam-194	15	4	m.	m.	PROPN
ejpam-194	15	5	kanoria	kanoria	PROPN
ejpam-194	15	6	/	/	SYM
ejpam-194	15	7	eur	eur	PROPN
ejpam-194	15	8	.	.	PUNCT
ejpam-194	16	1	j.	j.	PROPN
ejpam-194	16	2	pure	pure	PROPN
ejpam-194	16	3	appl	appl	PROPN
ejpam-194	16	4	.	.	PROPN
ejpam-194	16	5	math	math	PROPN
ejpam-194	16	6	,	,	PUNCT
ejpam-194	16	7	2	2	NUM
ejpam-194	16	8	(	(	PUNCT
ejpam-194	16	9	2009	2009	NUM
ejpam-194	16	10	)	)	PUNCT
ejpam-194	16	11	,	,	PUNCT
ejpam-194	16	12	(	(	PUNCT
ejpam-194	16	13	125	125	NUM
ejpam-194	16	14	-	-	SYM
ejpam-194	16	15	146	146	NUM
ejpam-194	16	16	)	)	PUNCT
ejpam-194	16	17	126	126	NUM
ejpam-194	16	18	which	which	PRON
ejpam-194	16	19	involves	involve	VERB
ejpam-194	16	20	a	a	DET
ejpam-194	16	21	parabolic	parabolic	ADJ
ejpam-194	16	22	-	-	PUNCT
ejpam-194	16	23	type	type	NOUN
ejpam-194	16	24	heat	heat	NOUN
ejpam-194	16	25	transport	transport	NOUN
ejpam-194	16	26	equation	equation	NOUN
ejpam-194	16	27	,	,	PUNCT
ejpam-194	16	28	these	these	DET
ejpam-194	16	29	generalized	generalized	ADJ
ejpam-194	16	30	theories	theory	NOUN
ejpam-194	16	31	involving	involve	VERB
ejpam-194	16	32	a	a	DET
ejpam-194	16	33	hyperbolic	hyperbolic	ADJ
ejpam-194	16	34	-	-	PUNCT
ejpam-194	16	35	type	type	NOUN
ejpam-194	16	36	heat	heat	NOUN
ejpam-194	16	37	transport	transport	NOUN
ejpam-194	16	38	equation	equation	NOUN
ejpam-194	16	39	are	be	AUX
ejpam-194	16	40	supported	support	VERB
ejpam-194	16	41	by	by	ADP
ejpam-194	16	42	experiments	experiment	NOUN
ejpam-194	16	43	exhibiting	exhibit	VERB
ejpam-194	16	44	the	the	DET
ejpam-194	16	45	actual	actual	ADJ
ejpam-194	16	46	occurrence	occurrence	NOUN
ejpam-194	16	47	of	of	ADP
ejpam-194	16	48	wave	wave	NOUN
ejpam-194	16	49	-	-	PUNCT
ejpam-194	16	50	type	type	NOUN
ejpam-194	16	51	heat	heat	NOUN
ejpam-194	16	52	transport	transport	NOUN
ejpam-194	16	53	in	in	ADP
ejpam-194	16	54	solids	solid	NOUN
ejpam-194	16	55	,	,	PUNCT
ejpam-194	16	56	called	call	VERB
ejpam-194	16	57	second	second	ADJ
ejpam-194	16	58	sound	sound	ADJ
ejpam-194	16	59	effect	effect	NOUN
ejpam-194	16	60	.	.	PUNCT
ejpam-194	17	1	the	the	DET
ejpam-194	17	2	extended	extend	VERB
ejpam-194	17	3	thermo	thermo	NOUN
ejpam-194	17	4	-	-	PUNCT
ejpam-194	17	5	elasticity	elasticity	NOUN
ejpam-194	17	6	theory	theory	NOUN
ejpam-194	17	7	(	(	PUNCT
ejpam-194	17	8	ete	ete	NOUN
ejpam-194	17	9	)	)	PUNCT
ejpam-194	17	10	proposed	propose	VERB
ejpam-194	17	11	by	by	ADP
ejpam-194	17	12	lord	lord	PROPN
ejpam-194	17	13	and	and	CCONJ
ejpam-194	17	14	shulman	shulman	PROPN
ejpam-194	17	15	[	[	X
ejpam-194	17	16	1	1	NUM
ejpam-194	17	17	]	]	PUNCT
ejpam-194	17	18	,	,	PUNCT
ejpam-194	17	19	incorporates	incorporate	VERB
ejpam-194	17	20	a	a	DET
ejpam-194	17	21	flux	flux	NOUN
ejpam-194	17	22	-	-	PUNCT
ejpam-194	17	23	rate	rate	NOUN
ejpam-194	17	24	term	term	NOUN
ejpam-194	17	25	into	into	ADP
ejpam-194	17	26	fourier	fourier	NOUN
ejpam-194	17	27	’s	’s	PART
ejpam-194	17	28	law	law	NOUN
ejpam-194	17	29	of	of	ADP
ejpam-194	17	30	heat	heat	NOUN
ejpam-194	17	31	conduction	conduction	NOUN
ejpam-194	17	32	,	,	PUNCT
ejpam-194	17	33	and	and	CCONJ
ejpam-194	17	34	formulates	formulate	VERB
ejpam-194	17	35	a	a	DET
ejpam-194	17	36	generalized	generalized	ADJ
ejpam-194	17	37	form	form	NOUN
ejpam-194	17	38	that	that	PRON
ejpam-194	17	39	involves	involve	VERB
ejpam-194	17	40	a	a	DET
ejpam-194	17	41	hyperbolic	hyperbolic	ADJ
ejpam-194	17	42	-	-	PUNCT
ejpam-194	17	43	type	type	NOUN
ejpam-194	17	44	heat	heat	NOUN
ejpam-194	17	45	transport	transport	NOUN
ejpam-194	17	46	equation	equation	NOUN
ejpam-194	17	47	admitting	admit	VERB
ejpam-194	17	48	finite	finite	ADJ
ejpam-194	17	49	speed	speed	NOUN
ejpam-194	17	50	of	of	ADP
ejpam-194	17	51	thermal	thermal	ADJ
ejpam-194	17	52	signals	signal	NOUN
ejpam-194	17	53	.	.	PUNCT
ejpam-194	18	1	green	green	ADJ
ejpam-194	18	2	and	and	CCONJ
ejpam-194	18	3	lindsay	lindsay	VERB
ejpam-194	18	4	[	[	X
ejpam-194	18	5	2	2	NUM
ejpam-194	18	6	]	]	PUNCT
ejpam-194	18	7	developed	develop	VERB
ejpam-194	18	8	temperature	temperature	NOUN
ejpam-194	18	9	-	-	PUNCT
ejpam-194	18	10	rate	rate	NOUN
ejpam-194	18	11	-	-	PUNCT
ejpam-194	18	12	dependent	dependent	ADJ
ejpam-194	18	13	thermo	thermo	NOUN
ejpam-194	18	14	-	-	PUNCT
ejpam-194	18	15	elasticity	elasticity	NOUN
ejpam-194	18	16	(	(	PUNCT
ejpam-194	18	17	trdte(gl	trdte(gl	NOUN
ejpam-194	18	18	)	)	PUNCT
ejpam-194	18	19	)	)	PUNCT
ejpam-194	18	20	theory	theory	NOUN
ejpam-194	18	21	by	by	ADP
ejpam-194	18	22	introducing	introduce	VERB
ejpam-194	18	23	relaxation	relaxation	NOUN
ejpam-194	18	24	time	time	NOUN
ejpam-194	18	25	factors	factor	NOUN
ejpam-194	18	26	that	that	PRON
ejpam-194	18	27	does	do	AUX
ejpam-194	18	28	not	not	PART
ejpam-194	18	29	violate	violate	VERB
ejpam-194	18	30	the	the	DET
ejpam-194	18	31	classical	classical	ADJ
ejpam-194	18	32	fourier	fourier	NOUN
ejpam-194	18	33	law	law	NOUN
ejpam-194	18	34	of	of	ADP
ejpam-194	18	35	heat	heat	NOUN
ejpam-194	18	36	conduction	conduction	NOUN
ejpam-194	18	37	and	and	CCONJ
ejpam-194	18	38	this	this	DET
ejpam-194	18	39	theory	theory	NOUN
ejpam-194	18	40	also	also	ADV
ejpam-194	18	41	predicts	predict	VERB
ejpam-194	18	42	a	a	DET
ejpam-194	18	43	finite	finite	ADJ
ejpam-194	18	44	speed	speed	NOUN
ejpam-194	18	45	for	for	ADP
ejpam-194	18	46	heat	heat	NOUN
ejpam-194	18	47	propagation	propagation	NOUN
ejpam-194	18	48	.	.	PUNCT
ejpam-194	19	1	the	the	DET
ejpam-194	19	2	closed	close	VERB
ejpam-194	19	3	-	-	PUNCT
ejpam-194	19	4	form	form	NOUN
ejpam-194	19	5	solutions	solution	NOUN
ejpam-194	19	6	for	for	ADP
ejpam-194	19	7	thermo	thermo	NOUN
ejpam-194	19	8	-	-	PUNCT
ejpam-194	19	9	elastic	elastic	ADJ
ejpam-194	19	10	problems	problem	NOUN
ejpam-194	19	11	in	in	ADP
ejpam-194	19	12	generalized	generalized	ADJ
ejpam-194	19	13	theory	theory	NOUN
ejpam-194	19	14	of	of	ADP
ejpam-194	19	15	thermo	thermo	NOUN
ejpam-194	19	16	-	-	PUNCT
ejpam-194	19	17	elasticity	elasticity	NOUN
ejpam-194	19	18	have	have	AUX
ejpam-194	19	19	been	be	AUX
ejpam-194	19	20	obtained	obtain	VERB
ejpam-194	19	21	by	by	ADP
ejpam-194	19	22	hetnarski	hetnarski	NOUN
ejpam-194	19	23	and	and	CCONJ
ejpam-194	19	24	ignaczak	ignaczak	NOUN
ejpam-194	19	25	[	[	X
ejpam-194	19	26	3	3	NUM
ejpam-194	19	27	]	]	PUNCT
ejpam-194	19	28	.	.	PUNCT
ejpam-194	20	1	hetnarski	hetnarski	PROPN
ejpam-194	20	2	and	and	CCONJ
ejpam-194	20	3	ignaczak	ignaczak	NOUN
ejpam-194	20	4	[	[	X
ejpam-194	20	5	4	4	NUM
ejpam-194	20	6	]	]	PUNCT
ejpam-194	20	7	studied	study	VERB
ejpam-194	20	8	the	the	DET
ejpam-194	20	9	response	response	NOUN
ejpam-194	20	10	of	of	ADP
ejpam-194	20	11	semi	semi	ADJ
ejpam-194	20	12	-	-	NOUN
ejpam-194	20	13	space	space	NOUN
ejpam-194	20	14	to	to	ADP
ejpam-194	20	15	a	a	DET
ejpam-194	20	16	short	short	ADJ
ejpam-194	20	17	laser	laser	NOUN
ejpam-194	20	18	pulse	pulse	NOUN
ejpam-194	20	19	in	in	ADP
ejpam-194	20	20	the	the	DET
ejpam-194	20	21	context	context	NOUN
ejpam-194	20	22	of	of	ADP
ejpam-194	20	23	generalized	generalized	ADJ
ejpam-194	20	24	thermo	thermo	NOUN
ejpam-194	20	25	-	-	PUNCT
ejpam-194	20	26	elasticity	elasticity	NOUN
ejpam-194	20	27	.	.	PUNCT
ejpam-194	21	1	sinha	sinha	NOUN
ejpam-194	21	2	and	and	CCONJ
ejpam-194	21	3	sinha	sinha	NOUN
ejpam-194	21	4	[	[	X
ejpam-194	21	5	5	5	NUM
ejpam-194	21	6	]	]	PUNCT
ejpam-194	21	7	and	and	CCONJ
ejpam-194	21	8	sinha	sinha	NOUN
ejpam-194	21	9	and	and	CCONJ
ejpam-194	21	10	elsibai	elsibai	VERB
ejpam-194	21	11	[	[	X
ejpam-194	21	12	6	6	NUM
ejpam-194	21	13	]	]	PUNCT
ejpam-194	21	14	,	,	PUNCT
ejpam-194	21	15	[	[	X
ejpam-194	21	16	7	7	X
ejpam-194	21	17	]	]	PUNCT
ejpam-194	21	18	studied	study	VERB
ejpam-194	21	19	the	the	DET
ejpam-194	21	20	reflections	reflection	NOUN
ejpam-194	21	21	of	of	ADP
ejpam-194	21	22	thermo	thermo	NOUN
ejpam-194	21	23	-	-	PUNCT
ejpam-194	21	24	elastic	elastic	ADJ
ejpam-194	21	25	waves	wave	NOUN
ejpam-194	21	26	from	from	ADP
ejpam-194	21	27	the	the	DET
ejpam-194	21	28	free	free	ADJ
ejpam-194	21	29	surface	surface	NOUN
ejpam-194	21	30	of	of	ADP
ejpam-194	21	31	a	a	DET
ejpam-194	21	32	solid	solid	ADJ
ejpam-194	21	33	half	half	ADJ
ejpam-194	21	34	-	-	PUNCT
ejpam-194	21	35	space	space	NOUN
ejpam-194	21	36	and	and	CCONJ
ejpam-194	21	37	at	at	ADP
ejpam-194	21	38	the	the	DET
ejpam-194	21	39	interface	interface	NOUN
ejpam-194	21	40	of	of	ADP
ejpam-194	21	41	two	two	NUM
ejpam-194	21	42	semi	semi	ADJ
ejpam-194	21	43	-	-	ADJ
ejpam-194	21	44	infinite	infinite	ADJ
ejpam-194	21	45	media	medium	NOUN
ejpam-194	21	46	in	in	ADP
ejpam-194	21	47	welded	weld	VERB
ejpam-194	21	48	contact	contact	NOUN
ejpam-194	21	49	in	in	ADP
ejpam-194	21	50	the	the	DET
ejpam-194	21	51	context	context	NOUN
ejpam-194	21	52	of	of	ADP
ejpam-194	21	53	generalized	generalized	ADJ
ejpam-194	21	54	thermo	thermo	NOUN
ejpam-194	21	55	-	-	PUNCT
ejpam-194	21	56	elasticity	elasticity	NOUN
ejpam-194	21	57	.	.	PUNCT
ejpam-194	22	1	sharma	sharma	PROPN
ejpam-194	22	2	[	[	X
ejpam-194	22	3	8	8	NUM
ejpam-194	22	4	]	]	PUNCT
ejpam-194	22	5	investigated	investigate	VERB
ejpam-194	22	6	the	the	DET
ejpam-194	22	7	reflection	reflection	NOUN
ejpam-194	22	8	of	of	ADP
ejpam-194	22	9	thermo	thermo	NOUN
ejpam-194	22	10	-	-	PUNCT
ejpam-194	22	11	elastic	elastic	ADJ
ejpam-194	22	12	waves	wave	NOUN
ejpam-194	22	13	from	from	ADP
ejpam-194	22	14	the	the	DET
ejpam-194	22	15	stress	stress	NOUN
ejpam-194	22	16	-	-	PUNCT
ejpam-194	22	17	free	free	ADJ
ejpam-194	22	18	insulated	insulated	ADJ
ejpam-194	22	19	boundary	boundary	NOUN
ejpam-194	22	20	of	of	ADP
ejpam-194	22	21	a	a	DET
ejpam-194	22	22	transversely	transversely	ADJ
ejpam-194	22	23	isotropic	isotropic	ADJ
ejpam-194	22	24	half	half	ADJ
ejpam-194	22	25	-	-	PUNCT
ejpam-194	22	26	space	space	NOUN
ejpam-194	22	27	in	in	ADP
ejpam-194	22	28	the	the	DET
ejpam-194	22	29	light	light	NOUN
ejpam-194	22	30	of	of	ADP
ejpam-194	22	31	the	the	DET
ejpam-194	22	32	theory	theory	NOUN
ejpam-194	22	33	developed	develop	VERB
ejpam-194	22	34	by	by	ADP
ejpam-194	22	35	dhaliwal	dhaliwal	PROPN
ejpam-194	22	36	and	and	CCONJ
ejpam-194	22	37	singh	singh	PROPN
ejpam-194	23	1	[	[	X
ejpam-194	23	2	9	9	NUM
ejpam-194	23	3	]	]	PUNCT
ejpam-194	23	4	in	in	ADP
ejpam-194	23	5	which	which	PRON
ejpam-194	23	6	the	the	DET
ejpam-194	23	7	theory	theory	NOUN
ejpam-194	23	8	developed	develop	VERB
ejpam-194	23	9	in	in	ADP
ejpam-194	23	10	[	[	X
ejpam-194	23	11	1	1	NUM
ejpam-194	23	12	]	]	PUNCT
ejpam-194	23	13	is	be	AUX
ejpam-194	23	14	extended	extend	VERB
ejpam-194	23	15	to	to	ADP
ejpam-194	23	16	anisotropic	anisotropic	NOUN
ejpam-194	23	17	(	(	PUNCT
ejpam-194	23	18	transversely	transversely	NOUN
ejpam-194	23	19	isotropic	isotropic	NOUN
ejpam-194	23	20	)	)	PUNCT
ejpam-194	23	21	thermo	thermo	NOUN
ejpam-194	23	22	-	-	PUNCT
ejpam-194	23	23	elastic	elastic	ADJ
ejpam-194	23	24	materials	material	NOUN
ejpam-194	23	25	.	.	PUNCT
ejpam-194	24	1	kar	kar	PROPN
ejpam-194	24	2	and	and	CCONJ
ejpam-194	24	3	kanoria	kanoria	PROPN
ejpam-194	24	4	[	[	X
ejpam-194	24	5	10	10	NUM
ejpam-194	24	6	]	]	PUNCT
ejpam-194	24	7	investigated	investigate	VERB
ejpam-194	24	8	thermo	thermo	NOUN
ejpam-194	24	9	-	-	PUNCT
ejpam-194	24	10	elastic	elastic	ADJ
ejpam-194	24	11	stress	stress	NOUN
ejpam-194	24	12	wave	wave	NOUN
ejpam-194	24	13	propagation	propagation	NOUN
ejpam-194	24	14	in	in	ADP
ejpam-194	24	15	an	an	DET
ejpam-194	24	16	unbounded	unbounded	ADJ
ejpam-194	24	17	body	body	NOUN
ejpam-194	24	18	with	with	ADP
ejpam-194	24	19	a	a	DET
ejpam-194	24	20	spherical	spherical	ADJ
ejpam-194	24	21	hole	hole	NOUN
ejpam-194	24	22	following	follow	VERB
ejpam-194	24	23	the	the	DET
ejpam-194	24	24	theories	theory	NOUN
ejpam-194	24	25	developed	develop	VERB
ejpam-194	24	26	in	in	ADP
ejpam-194	24	27	[	[	X
ejpam-194	24	28	2	2	NUM
ejpam-194	24	29	]	]	PUNCT
ejpam-194	24	30	,	,	PUNCT
ejpam-194	24	31	[	[	X
ejpam-194	24	32	15	15	NUM
ejpam-194	24	33	]	]	PUNCT
ejpam-194	24	34	.	.	PUNCT
ejpam-194	25	1	roychoudhury	roychoudhury	PROPN
ejpam-194	25	2	and	and	CCONJ
ejpam-194	25	3	bhatta	bhatta	PROPN
ejpam-194	26	1	[	[	X
ejpam-194	26	2	12	12	NUM
ejpam-194	26	3	]	]	PUNCT
ejpam-194	26	4	and	and	CCONJ
ejpam-194	26	5	roychoudhury	roychoudhury	NOUN
ejpam-194	26	6	and	and	CCONJ
ejpam-194	26	7	chatterjee	chatterjee	PROPN
ejpam-194	26	8	[	[	X
ejpam-194	26	9	13	13	NUM
ejpam-194	26	10	]	]	PUNCT
ejpam-194	26	11	studied	study	VERB
ejpam-194	26	12	thermo	thermo	NOUN
ejpam-194	26	13	-	-	PUNCT
ejpam-194	26	14	elastic	elastic	ADJ
ejpam-194	26	15	wave	wave	NOUN
ejpam-194	26	16	propagation	propagation	NOUN
ejpam-194	26	17	in	in	ADP
ejpam-194	26	18	an	an	DET
ejpam-194	26	19	infinitely	infinitely	ADV
ejpam-194	26	20	extended	extended	ADJ
ejpam-194	26	21	thin	thin	ADJ
ejpam-194	26	22	plate	plate	NOUN
ejpam-194	26	23	following	follow	VERB
ejpam-194	26	24	the	the	DET
ejpam-194	26	25	theory	theory	NOUN
ejpam-194	26	26	developed	develop	VERB
ejpam-194	26	27	in	in	ADP
ejpam-194	26	28	[	[	X
ejpam-194	26	29	2	2	NUM
ejpam-194	26	30	]	]	PUNCT
ejpam-194	26	31	for	for	ADP
ejpam-194	26	32	short	short	ADJ
ejpam-194	26	33	-	-	PUNCT
ejpam-194	26	34	time	time	NOUN
ejpam-194	26	35	approximation	approximation	NOUN
ejpam-194	26	36	using	use	VERB
ejpam-194	26	37	the	the	DET
ejpam-194	26	38	laplace	laplace	NOUN
ejpam-194	26	39	transform	transform	NOUN
ejpam-194	26	40	technique	technique	NOUN
ejpam-194	26	41	.	.	PUNCT
ejpam-194	27	1	most	most	ADJ
ejpam-194	27	2	engineering	engineering	NOUN
ejpam-194	27	3	materials	material	NOUN
ejpam-194	27	4	such	such	ADJ
ejpam-194	27	5	as	as	ADP
ejpam-194	27	6	metals	metal	NOUN
ejpam-194	27	7	possess	possess	VERB
ejpam-194	27	8	a	a	DET
ejpam-194	27	9	relatively	relatively	ADV
ejpam-194	27	10	high	high	ADJ
ejpam-194	27	11	rate	rate	NOUN
ejpam-194	27	12	of	of	ADP
ejpam-194	27	13	thermal	thermal	ADJ
ejpam-194	27	14	damping	damping	NOUN
ejpam-194	27	15	and	and	CCONJ
ejpam-194	27	16	thus	thus	ADV
ejpam-194	27	17	are	be	AUX
ejpam-194	27	18	not	not	PART
ejpam-194	27	19	suitable	suitable	ADJ
ejpam-194	27	20	for	for	ADP
ejpam-194	27	21	use	use	NOUN
ejpam-194	27	22	in	in	ADP
ejpam-194	27	23	experiments	experiment	NOUN
ejpam-194	27	24	concerning	concern	VERB
ejpam-194	27	25	second	second	ADJ
ejpam-194	27	26	sound	sound	ADJ
ejpam-194	27	27	propagation	propagation	NOUN
ejpam-194	27	28	.	.	PUNCT
ejpam-194	28	1	but	but	CCONJ
ejpam-194	28	2	,	,	PUNCT
ejpam-194	28	3	given	give	VERB
ejpam-194	28	4	the	the	DET
ejpam-194	28	5	state	state	NOUN
ejpam-194	28	6	of	of	ADP
ejpam-194	28	7	recent	recent	ADJ
ejpam-194	28	8	advances	advance	NOUN
ejpam-194	28	9	in	in	ADP
ejpam-194	28	10	material	material	NOUN
ejpam-194	28	11	science	science	NOUN
ejpam-194	28	12	,	,	PUNCT
ejpam-194	28	13	it	it	PRON
ejpam-194	28	14	may	may	AUX
ejpam-194	28	15	be	be	AUX
ejpam-194	28	16	possible	possible	ADJ
ejpam-194	28	17	in	in	ADP
ejpam-194	28	18	the	the	DET
ejpam-194	28	19	foreseeable	foreseeable	ADJ
ejpam-194	28	20	future	future	NOUN
ejpam-194	28	21	to	to	PART
ejpam-194	28	22	identify	identify	VERB
ejpam-194	28	23	(	(	PUNCT
ejpam-194	28	24	or	or	CCONJ
ejpam-194	28	25	even	even	ADV
ejpam-194	28	26	manufacture	manufacture	VERB
ejpam-194	28	27	for	for	ADP
ejpam-194	28	28	laboratory	laboratory	NOUN
ejpam-194	28	29	purposes	purpose	NOUN
ejpam-194	28	30	)	)	PUNCT
ejpam-194	28	31	an	an	DET
ejpam-194	28	32	idealized	idealized	ADJ
ejpam-194	28	33	material	material	NOUN
ejpam-194	28	34	for	for	ADP
ejpam-194	28	35	the	the	DET
ejpam-194	28	36	purpose	purpose	NOUN
ejpam-194	28	37	of	of	ADP
ejpam-194	28	38	studying	study	VERB
ejpam-194	28	39	the	the	DET
ejpam-194	28	40	propagation	propagation	NOUN
ejpam-194	28	41	of	of	ADP
ejpam-194	28	42	thermal	thermal	ADJ
ejpam-194	28	43	waves	wave	NOUN
ejpam-194	28	44	at	at	ADP
ejpam-194	28	45	finite	finite	ADJ
ejpam-194	28	46	speed	speed	NOUN
ejpam-194	28	47	.	.	PUNCT
ejpam-194	29	1	the	the	DET
ejpam-194	29	2	relevant	relevant	ADJ
ejpam-194	29	3	theoretical	theoretical	ADJ
ejpam-194	29	4	developments	development	NOUN
ejpam-194	29	5	on	on	ADP
ejpam-194	29	6	the	the	DET
ejpam-194	29	7	subject	subject	NOUN
ejpam-194	29	8	are	be	AUX
ejpam-194	29	9	due	due	ADJ
ejpam-194	29	10	to	to	ADP
ejpam-194	29	11	green	green	ADJ
ejpam-194	29	12	and	and	CCONJ
ejpam-194	29	13	naghdi[14	naghdi[14	PROPN
ejpam-194	29	14	-	-	PUNCT
ejpam-194	29	15	16	16	NUM
ejpam-194	29	16	]	]	PUNCT
ejpam-194	29	17	and	and	CCONJ
ejpam-194	29	18	provide	provide	VERB
ejpam-194	29	19	a.	a.	NOUN
ejpam-194	29	20	kar	kar	PROPN
ejpam-194	29	21	and	and	CCONJ
ejpam-194	29	22	m.	m.	PROPN
ejpam-194	29	23	kanoria	kanoria	PROPN
ejpam-194	29	24	/	/	SYM
ejpam-194	29	25	eur	eur	PROPN
ejpam-194	29	26	.	.	PUNCT
ejpam-194	30	1	j.	j.	PROPN
ejpam-194	30	2	pure	pure	PROPN
ejpam-194	30	3	appl	appl	PROPN
ejpam-194	30	4	.	.	PROPN
ejpam-194	30	5	math	math	PROPN
ejpam-194	30	6	,	,	PUNCT
ejpam-194	30	7	2	2	NUM
ejpam-194	30	8	(	(	PUNCT
ejpam-194	30	9	2009	2009	NUM
ejpam-194	30	10	)	)	PUNCT
ejpam-194	30	11	,	,	PUNCT
ejpam-194	30	12	(	(	PUNCT
ejpam-194	30	13	125	125	NUM
ejpam-194	30	14	-	-	SYM
ejpam-194	30	15	146	146	NUM
ejpam-194	30	16	)	)	PUNCT
ejpam-194	30	17	127	127	NUM
ejpam-194	30	18	sufficient	sufficient	ADJ
ejpam-194	30	19	basic	basic	ADJ
ejpam-194	30	20	modifications	modification	NOUN
ejpam-194	30	21	in	in	ADP
ejpam-194	30	22	the	the	DET
ejpam-194	30	23	constitutive	constitutive	ADJ
ejpam-194	30	24	equations	equation	NOUN
ejpam-194	30	25	that	that	PRON
ejpam-194	30	26	permit	permit	VERB
ejpam-194	30	27	treatment	treatment	NOUN
ejpam-194	30	28	of	of	ADP
ejpam-194	30	29	a	a	DET
ejpam-194	30	30	much	much	ADV
ejpam-194	30	31	wider	wide	ADJ
ejpam-194	30	32	class	class	NOUN
ejpam-194	30	33	of	of	ADP
ejpam-194	30	34	heat	heat	NOUN
ejpam-194	30	35	flow	flow	NOUN
ejpam-194	30	36	problems	problem	NOUN
ejpam-194	30	37	,	,	PUNCT
ejpam-194	30	38	labelled	label	VERB
ejpam-194	30	39	as	as	ADP
ejpam-194	30	40	types	type	NOUN
ejpam-194	30	41	i	i	PRON
ejpam-194	30	42	,	,	PUNCT
ejpam-194	30	43	ii	ii	PROPN
ejpam-194	30	44	,	,	PUNCT
ejpam-194	30	45	iii	iii	PROPN
ejpam-194	30	46	.	.	PUNCT
ejpam-194	31	1	the	the	DET
ejpam-194	31	2	natures	nature	NOUN
ejpam-194	31	3	of	of	ADP
ejpam-194	31	4	these	these	DET
ejpam-194	31	5	three	three	NUM
ejpam-194	31	6	types	type	NOUN
ejpam-194	31	7	of	of	ADP
ejpam-194	31	8	constitutive	constitutive	ADJ
ejpam-194	31	9	equations	equation	NOUN
ejpam-194	31	10	are	be	AUX
ejpam-194	31	11	such	such	ADJ
ejpam-194	31	12	that	that	SCONJ
ejpam-194	31	13	when	when	SCONJ
ejpam-194	31	14	the	the	DET
ejpam-194	31	15	respective	respective	ADJ
ejpam-194	31	16	theories	theory	NOUN
ejpam-194	31	17	are	be	AUX
ejpam-194	31	18	linearized	linearize	VERB
ejpam-194	31	19	,	,	PUNCT
ejpam-194	31	20	type	type	NOUN
ejpam-194	31	21	-	-	PUNCT
ejpam-194	31	22	i	i	PRON
ejpam-194	31	23	is	be	AUX
ejpam-194	31	24	the	the	DET
ejpam-194	31	25	same	same	ADJ
ejpam-194	31	26	as	as	ADP
ejpam-194	31	27	the	the	DET
ejpam-194	31	28	classical	classical	ADJ
ejpam-194	31	29	heat	heat	NOUN
ejpam-194	31	30	equation	equation	NOUN
ejpam-194	31	31	(	(	PUNCT
ejpam-194	31	32	based	base	VERB
ejpam-194	31	33	on	on	ADP
ejpam-194	31	34	fourier	fourier	PROPN
ejpam-194	31	35	’s	’s	PART
ejpam-194	31	36	law	law	NOUN
ejpam-194	31	37	)	)	PUNCT
ejpam-194	31	38	whereas	whereas	SCONJ
ejpam-194	31	39	the	the	DET
ejpam-194	31	40	linearized	linearize	VERB
ejpam-194	31	41	versions	version	NOUN
ejpam-194	31	42	of	of	ADP
ejpam-194	31	43	type	type	NOUN
ejpam-194	31	44	-	-	PUNCT
ejpam-194	31	45	ii	ii	NOUN
ejpam-194	31	46	and	and	CCONJ
ejpam-194	31	47	type	type	NOUN
ejpam-194	31	48	-	-	PUNCT
ejpam-194	31	49	iii	iii	NOUN
ejpam-194	31	50	theories	theory	NOUN
ejpam-194	31	51	permit	permit	VERB
ejpam-194	31	52	propagation	propagation	NOUN
ejpam-194	31	53	of	of	ADP
ejpam-194	31	54	thermal	thermal	ADJ
ejpam-194	31	55	waves	wave	NOUN
ejpam-194	31	56	at	at	ADP
ejpam-194	31	57	finite	finite	ADJ
ejpam-194	31	58	speed	speed	NOUN
ejpam-194	31	59	.	.	PUNCT
ejpam-194	32	1	the	the	DET
ejpam-194	32	2	entropy	entropy	PROPN
ejpam-194	32	3	flux	flux	PROPN
ejpam-194	32	4	vector	vector	PROPN
ejpam-194	32	5	in	in	ADP
ejpam-194	32	6	type	type	NOUN
ejpam-194	32	7	ii	ii	PROPN
ejpam-194	32	8	and	and	CCONJ
ejpam-194	32	9	iii	iii	PROPN
ejpam-194	32	10	(	(	PUNCT
ejpam-194	32	11	i.e.	i.e.	X
ejpam-194	32	12	thermo	thermo	NOUN
ejpam-194	32	13	-	-	PUNCT
ejpam-194	32	14	elasticity	elasticity	NOUN
ejpam-194	32	15	without	without	ADP
ejpam-194	32	16	energy	energy	NOUN
ejpam-194	32	17	dissipation	dissipation	NOUN
ejpam-194	32	18	(	(	PUNCT
ejpam-194	32	19	tewoed	tewoed	NOUN
ejpam-194	32	20	)	)	PUNCT
ejpam-194	32	21	and	and	CCONJ
ejpam-194	32	22	thermo	thermo	NOUN
ejpam-194	32	23	-	-	PUNCT
ejpam-194	32	24	elasticity	elasticity	NOUN
ejpam-194	32	25	with	with	ADP
ejpam-194	32	26	energy	energy	NOUN
ejpam-194	32	27	dissipation	dissipation	NOUN
ejpam-194	32	28	(	(	PUNCT
ejpam-194	32	29	tewed	tewe	VERB
ejpam-194	32	30	)	)	PUNCT
ejpam-194	32	31	)	)	PUNCT
ejpam-194	32	32	models	model	NOUN
ejpam-194	32	33	are	be	AUX
ejpam-194	32	34	determined	determine	VERB
ejpam-194	32	35	in	in	ADP
ejpam-194	32	36	terms	term	NOUN
ejpam-194	32	37	of	of	ADP
ejpam-194	32	38	the	the	DET
ejpam-194	32	39	potential	potential	NOUN
ejpam-194	32	40	that	that	PRON
ejpam-194	32	41	also	also	ADV
ejpam-194	32	42	determines	determine	VERB
ejpam-194	32	43	stresses	stress	NOUN
ejpam-194	32	44	.	.	PUNCT
ejpam-194	33	1	when	when	SCONJ
ejpam-194	33	2	fourier	fouri	ADJ
ejpam-194	33	3	conductivity	conductivity	NOUN
ejpam-194	33	4	is	be	AUX
ejpam-194	33	5	dominant	dominant	ADJ
ejpam-194	33	6	the	the	DET
ejpam-194	33	7	temperature	temperature	NOUN
ejpam-194	33	8	equation	equation	NOUN
ejpam-194	33	9	reduces	reduce	VERB
ejpam-194	33	10	to	to	ADP
ejpam-194	33	11	classical	classical	ADJ
ejpam-194	33	12	fourier	fourier	NOUN
ejpam-194	33	13	law	law	NOUN
ejpam-194	33	14	of	of	ADP
ejpam-194	33	15	heat	heat	NOUN
ejpam-194	33	16	conduction	conduction	NOUN
ejpam-194	33	17	and	and	CCONJ
ejpam-194	33	18	when	when	SCONJ
ejpam-194	33	19	the	the	DET
ejpam-194	33	20	effect	effect	NOUN
ejpam-194	33	21	of	of	ADP
ejpam-194	33	22	conductivity	conductivity	NOUN
ejpam-194	33	23	is	be	AUX
ejpam-194	33	24	negligible	negligible	ADJ
ejpam-194	33	25	the	the	DET
ejpam-194	33	26	equation	equation	NOUN
ejpam-194	33	27	has	have	AUX
ejpam-194	33	28	undamped	undampe	VERB
ejpam-194	33	29	thermal	thermal	ADJ
ejpam-194	33	30	wave	wave	NOUN
ejpam-194	33	31	solutions	solution	NOUN
ejpam-194	33	32	without	without	ADP
ejpam-194	33	33	energy	energy	NOUN
ejpam-194	33	34	dissipation	dissipation	NOUN
ejpam-194	33	35	.	.	PUNCT
ejpam-194	34	1	several	several	ADJ
ejpam-194	34	2	investigations	investigation	NOUN
ejpam-194	34	3	relating	relate	VERB
ejpam-194	34	4	to	to	ADP
ejpam-194	34	5	thermo	thermo	NOUN
ejpam-194	34	6	-	-	PUNCT
ejpam-194	34	7	elasticity	elasticity	NOUN
ejpam-194	34	8	without	without	ADP
ejpam-194	34	9	energy	energy	NOUN
ejpam-194	34	10	dissipation	dissipation	NOUN
ejpam-194	34	11	theory	theory	NOUN
ejpam-194	34	12	(	(	PUNCT
ejpam-194	34	13	tewoed	tewoed	NOUN
ejpam-194	34	14	)	)	PUNCT
ejpam-194	34	15	have	have	AUX
ejpam-194	34	16	been	be	AUX
ejpam-194	34	17	presented	present	VERB
ejpam-194	34	18	by	by	ADP
ejpam-194	34	19	roychoudhuri	roychoudhuri	PROPN
ejpam-194	34	20	and	and	CCONJ
ejpam-194	34	21	datta	datta	PROPN
ejpam-194	34	22	[	[	X
ejpam-194	34	23	17	17	NUM
ejpam-194	34	24	]	]	PUNCT
ejpam-194	34	25	,	,	PUNCT
ejpam-194	34	26	sharma	sharma	PROPN
ejpam-194	34	27	and	and	CCONJ
ejpam-194	34	28	chouhan	chouhan	PROPN
ejpam-194	35	1	[	[	X
ejpam-194	35	2	18	18	NUM
ejpam-194	35	3	]	]	PUNCT
ejpam-194	35	4	,	,	PUNCT
ejpam-194	35	5	roychoudhury	roychoudhury	NOUN
ejpam-194	35	6	and	and	CCONJ
ejpam-194	35	7	bandyopadhyay	bandyopadhyay	NOUN
ejpam-194	36	1	[	[	X
ejpam-194	36	2	19	19	NUM
ejpam-194	36	3	]	]	PUNCT
ejpam-194	36	4	,	,	PUNCT
ejpam-194	36	5	chandrasekharaiah	chandrasekharaiah	PROPN
ejpam-194	36	6	[	[	X
ejpam-194	36	7	20	20	NUM
ejpam-194	36	8	]	]	PUNCT
ejpam-194	36	9	,	,	PUNCT
ejpam-194	36	10	[	[	X
ejpam-194	36	11	21	21	NUM
ejpam-194	36	12	]	]	PUNCT
ejpam-194	36	13	.	.	PUNCT
ejpam-194	37	1	the	the	DET
ejpam-194	37	2	main	main	ADJ
ejpam-194	37	3	object	object	NOUN
ejpam-194	37	4	of	of	ADP
ejpam-194	37	5	the	the	DET
ejpam-194	37	6	present	present	ADJ
ejpam-194	37	7	paper	paper	NOUN
ejpam-194	37	8	is	be	AUX
ejpam-194	37	9	to	to	PART
ejpam-194	37	10	study	study	VERB
ejpam-194	37	11	the	the	DET
ejpam-194	37	12	thermo	thermo	NOUN
ejpam-194	37	13	-	-	PUNCT
ejpam-194	37	14	elastic	elastic	ADJ
ejpam-194	37	15	stresses	stress	NOUN
ejpam-194	37	16	,	,	PUNCT
ejpam-194	37	17	displacement	displacement	NOUN
ejpam-194	37	18	and	and	CCONJ
ejpam-194	37	19	temperature	temperature	NOUN
ejpam-194	37	20	distribution	distribution	NOUN
ejpam-194	37	21	in	in	ADP
ejpam-194	37	22	an	an	DET
ejpam-194	37	23	isotropic	isotropic	ADJ
ejpam-194	37	24	homogeneous	homogeneous	ADJ
ejpam-194	37	25	spherical	spherical	ADJ
ejpam-194	37	26	shell	shell	NOUN
ejpam-194	37	27	due	due	ADP
ejpam-194	37	28	to	to	PART
ejpam-194	37	29	step	step	VERB
ejpam-194	37	30	input	input	NOUN
ejpam-194	37	31	of	of	ADP
ejpam-194	37	32	temperature	temperature	NOUN
ejpam-194	37	33	on	on	ADP
ejpam-194	37	34	the	the	DET
ejpam-194	37	35	boundaries	boundary	NOUN
ejpam-194	37	36	of	of	ADP
ejpam-194	37	37	the	the	DET
ejpam-194	37	38	shell	shell	NOUN
ejpam-194	37	39	in	in	ADP
ejpam-194	37	40	the	the	DET
ejpam-194	37	41	context	context	NOUN
ejpam-194	37	42	of	of	ADP
ejpam-194	37	43	trdte	trdte	NOUN
ejpam-194	37	44	[	[	X
ejpam-194	37	45	2	2	NUM
ejpam-194	37	46	]	]	PUNCT
ejpam-194	37	47	and	and	CCONJ
ejpam-194	37	48	tewed	tewe	VERB
ejpam-194	37	49	[	[	X
ejpam-194	37	50	16	16	NUM
ejpam-194	37	51	]	]	PUNCT
ejpam-194	37	52	of	of	ADP
ejpam-194	37	53	type	type	NOUN
ejpam-194	37	54	-	-	PUNCT
ejpam-194	37	55	iii	iii	NOUN
ejpam-194	37	56	of	of	ADP
ejpam-194	37	57	generalized	generalized	ADJ
ejpam-194	37	58	thermo	thermo	NOUN
ejpam-194	37	59	-	-	PUNCT
ejpam-194	37	60	elasticity	elasticity	NOUN
ejpam-194	37	61	.	.	PUNCT
ejpam-194	38	1	using	use	VERB
ejpam-194	38	2	the	the	DET
ejpam-194	38	3	laplace	laplace	NOUN
ejpam-194	38	4	transformation	transformation	NOUN
ejpam-194	38	5	the	the	DET
ejpam-194	38	6	fundamental	fundamental	ADJ
ejpam-194	38	7	equations	equation	NOUN
ejpam-194	38	8	have	have	AUX
ejpam-194	38	9	been	be	AUX
ejpam-194	38	10	expressed	express	VERB
ejpam-194	38	11	in	in	ADP
ejpam-194	38	12	the	the	DET
ejpam-194	38	13	form	form	NOUN
ejpam-194	38	14	of	of	ADP
ejpam-194	38	15	vector	vector	NOUN
ejpam-194	38	16	-	-	PUNCT
ejpam-194	38	17	matrix	matrix	NOUN
ejpam-194	38	18	differential	differential	NOUN
ejpam-194	38	19	equation	equation	NOUN
ejpam-194	38	20	which	which	PRON
ejpam-194	38	21	is	be	AUX
ejpam-194	38	22	then	then	ADV
ejpam-194	38	23	solved	solve	VERB
ejpam-194	38	24	by	by	ADP
ejpam-194	38	25	eigen	eigen	PROPN
ejpam-194	38	26	value	value	NOUN
ejpam-194	38	27	approach	approach	NOUN
ejpam-194	38	28	.	.	PUNCT
ejpam-194	39	1	the	the	DET
ejpam-194	39	2	inversion	inversion	NOUN
ejpam-194	39	3	of	of	ADP
ejpam-194	39	4	the	the	DET
ejpam-194	39	5	laplace	laplace	NOUN
ejpam-194	39	6	transform	transform	NOUN
ejpam-194	39	7	is	be	AUX
ejpam-194	39	8	done	do	VERB
ejpam-194	39	9	following	follow	VERB
ejpam-194	39	10	bellman	bellman	PROPN
ejpam-194	39	11	et	et	PROPN
ejpam-194	39	12	al	al	PROPN
ejpam-194	39	13	.	.	PUNCT
ejpam-194	40	1	[	[	X
ejpam-194	40	2	22	22	NUM
ejpam-194	40	3	]	]	PUNCT
ejpam-194	40	4	.	.	PUNCT
ejpam-194	41	1	the	the	DET
ejpam-194	41	2	results	result	NOUN
ejpam-194	41	3	obtained	obtain	VERB
ejpam-194	41	4	theoretically	theoretically	ADV
ejpam-194	41	5	have	have	AUX
ejpam-194	41	6	been	be	AUX
ejpam-194	41	7	computed	compute	VERB
ejpam-194	41	8	numerically	numerically	ADV
ejpam-194	41	9	and	and	CCONJ
ejpam-194	41	10	are	be	AUX
ejpam-194	41	11	presented	present	VERB
ejpam-194	41	12	graphically	graphically	ADV
ejpam-194	41	13	for	for	ADP
ejpam-194	41	14	copper	copper	NOUN
ejpam-194	41	15	material	material	NOUN
ejpam-194	41	16	.	.	PUNCT
ejpam-194	42	1	a	a	DET
ejpam-194	42	2	complete	complete	ADJ
ejpam-194	42	3	and	and	CCONJ
ejpam-194	42	4	comprehensive	comprehensive	ADJ
ejpam-194	42	5	analysis	analysis	NOUN
ejpam-194	42	6	and	and	CCONJ
ejpam-194	42	7	comparison	comparison	NOUN
ejpam-194	42	8	of	of	ADP
ejpam-194	42	9	results	result	NOUN
ejpam-194	42	10	of	of	ADP
ejpam-194	42	11	the	the	DET
ejpam-194	42	12	above	above	ADJ
ejpam-194	42	13	theories	theory	NOUN
ejpam-194	42	14	are	be	AUX
ejpam-194	42	15	presented	present	VERB
ejpam-194	42	16	.	.	PUNCT
ejpam-194	43	1	2	2	X
ejpam-194	43	2	.	.	NUM
ejpam-194	43	3	basic	basic	ADJ
ejpam-194	43	4	equations	equation	NOUN
ejpam-194	43	5	and	and	CCONJ
ejpam-194	43	6	constitutive	constitutive	ADJ
ejpam-194	43	7	relations	relation	NOUN
ejpam-194	43	8	we	we	PRON
ejpam-194	43	9	consider	consider	VERB
ejpam-194	43	10	a	a	DET
ejpam-194	43	11	homogeneous	homogeneous	ADJ
ejpam-194	43	12	isotropic	isotropic	ADJ
ejpam-194	43	13	spherical	spherical	ADJ
ejpam-194	43	14	shell	shell	NOUN
ejpam-194	43	15	of	of	ADP
ejpam-194	43	16	inner	inner	ADJ
ejpam-194	43	17	radius	radius	NOUN
ejpam-194	43	18	a	a	PRON
ejpam-194	43	19	and	and	CCONJ
ejpam-194	43	20	outer	outer	ADJ
ejpam-194	43	21	radius	radius	NOUN
ejpam-194	43	22	b	b	PROPN
ejpam-194	43	23	in	in	ADP
ejpam-194	43	24	an	an	DET
ejpam-194	43	25	undisturbed	undisturbed	ADJ
ejpam-194	43	26	state	state	NOUN
ejpam-194	43	27	and	and	CCONJ
ejpam-194	43	28	initially	initially	ADV
ejpam-194	43	29	at	at	ADP
ejpam-194	43	30	uniform	uniform	ADJ
ejpam-194	43	31	temperature	temperature	NOUN
ejpam-194	43	32	t0	t0	PROPN
ejpam-194	43	33	.	.	PUNCT
ejpam-194	44	1	we	we	PRON
ejpam-194	44	2	introduce	introduce	VERB
ejpam-194	44	3	spherical	spherical	ADJ
ejpam-194	44	4	polar	polar	ADJ
ejpam-194	44	5	co	co	NOUN
ejpam-194	44	6	-	-	NOUN
ejpam-194	44	7	ordinate	ordinate	ADJ
ejpam-194	44	8	(	(	PUNCT
ejpam-194	44	9	r	r	NOUN
ejpam-194	44	10	,	,	PUNCT
ejpam-194	44	11	θ	θ	PROPN
ejpam-194	44	12	,	,	PUNCT
ejpam-194	44	13	φ	φ	NUM
ejpam-194	44	14	)	)	PUNCT
ejpam-194	44	15	with	with	ADP
ejpam-194	44	16	the	the	DET
ejpam-194	44	17	centre	centre	NOUN
ejpam-194	44	18	of	of	ADP
ejpam-194	44	19	the	the	DET
ejpam-194	44	20	cavity	cavity	NOUN
ejpam-194	44	21	as	as	ADP
ejpam-194	44	22	the	the	DET
ejpam-194	44	23	origin	origin	NOUN
ejpam-194	44	24	.	.	PUNCT
ejpam-194	45	1	in	in	ADP
ejpam-194	45	2	the	the	DET
ejpam-194	45	3	present	present	ADJ
ejpam-194	45	4	problem	problem	NOUN
ejpam-194	45	5	(	(	PUNCT
ejpam-194	45	6	due	due	ADP
ejpam-194	45	7	to	to	ADP
ejpam-194	45	8	spherical	spherical	ADJ
ejpam-194	45	9	symmetry	symmetry	NOUN
ejpam-194	45	10	)	)	PUNCT
ejpam-194	45	11	the	the	DET
ejpam-194	45	12	displacement	displacement	NOUN
ejpam-194	45	13	and	and	CCONJ
ejpam-194	45	14	temperature	temperature	NOUN
ejpam-194	45	15	are	be	AUX
ejpam-194	45	16	a.	a.	NOUN
ejpam-194	45	17	kar	kar	PROPN
ejpam-194	45	18	and	and	CCONJ
ejpam-194	45	19	m.	m.	PROPN
ejpam-194	45	20	kanoria	kanoria	PROPN
ejpam-194	45	21	/	/	SYM
ejpam-194	45	22	eur	eur	PROPN
ejpam-194	45	23	.	.	PUNCT
ejpam-194	46	1	j.	j.	PROPN
ejpam-194	46	2	pure	pure	PROPN
ejpam-194	46	3	appl	appl	PROPN
ejpam-194	46	4	.	.	PROPN
ejpam-194	46	5	math	math	PROPN
ejpam-194	46	6	,	,	PUNCT
ejpam-194	46	7	2	2	NUM
ejpam-194	46	8	(	(	PUNCT
ejpam-194	46	9	2009	2009	NUM
ejpam-194	46	10	)	)	PUNCT
ejpam-194	46	11	,	,	PUNCT
ejpam-194	46	12	(	(	PUNCT
ejpam-194	46	13	125	125	NUM
ejpam-194	46	14	-	-	SYM
ejpam-194	46	15	146	146	NUM
ejpam-194	46	16	)	)	PUNCT
ejpam-194	46	17	128	128	NUM
ejpam-194	46	18	assumed	assume	VERB
ejpam-194	46	19	to	to	PART
ejpam-194	46	20	be	be	AUX
ejpam-194	46	21	functions	function	NOUN
ejpam-194	46	22	of	of	ADP
ejpam-194	46	23	r	r	NOUN
ejpam-194	46	24	and	and	CCONJ
ejpam-194	46	25	time	time	NOUN
ejpam-194	46	26	t	t	X
ejpam-194	46	27	only	only	ADV
ejpam-194	46	28	.	.	PUNCT
ejpam-194	47	1	the	the	DET
ejpam-194	47	2	stress	stress	NOUN
ejpam-194	47	3	-	-	PUNCT
ejpam-194	47	4	strain	strain	NOUN
ejpam-194	47	5	-	-	PUNCT
ejpam-194	47	6	temperature	temperature	NOUN
ejpam-194	47	7	relations	relation	NOUN
ejpam-194	47	8	in	in	ADP
ejpam-194	47	9	the	the	DET
ejpam-194	47	10	present	present	ADJ
ejpam-194	47	11	problem	problem	NOUN
ejpam-194	47	12	are	be	AUX
ejpam-194	47	13	τi	τi	ADP
ejpam-194	47	14	j	j	PROPN
ejpam-194	47	15	=	=	SYM
ejpam-194	47	16	λ∆δi	λ∆δi	PROPN
ejpam-194	47	17	j	j	PROPN
ejpam-194	47	18	+	+	CCONJ
ejpam-194	47	19	2µei	2µei	NUM
ejpam-194	47	20	j	j	NOUN
ejpam-194	48	1	−	−	NOUN
ejpam-194	48	2	γ(t	γ(t	VERB
ejpam-194	48	3	+	+	CCONJ
ejpam-194	48	4	δ1kαṫ	δ1kαṫ	X
ejpam-194	48	5	)	)	PUNCT
ejpam-194	48	6	δi	δi	PROPN
ejpam-194	48	7	j	j	PROPN
ejpam-194	48	8	(	(	PUNCT
ejpam-194	48	9	1	1	NUM
ejpam-194	48	10	)	)	PUNCT
ejpam-194	48	11	and	and	CCONJ
ejpam-194	48	12	generalized	generalized	ADJ
ejpam-194	48	13	heat	heat	NOUN
ejpam-194	48	14	conduction	conduction	NOUN
ejpam-194	48	15	equation	equation	NOUN
ejpam-194	48	16	is	be	AUX
ejpam-194	48	17	�	�	PROPN
ejpam-194	48	18	δ1k	δ1k	VERB
ejpam-194	48	19	+	+	CCONJ
ejpam-194	48	20	δ2k	δ2k	PROPN
ejpam-194	48	21	∂	∂	NUM
ejpam-194	48	22	∂	∂	NUM
ejpam-194	48	23	t	t	PROPN
ejpam-194	48	24	�	�	PROPN
ejpam-194	48	25	k∇2	k∇2	PROPN
ejpam-194	48	26	t	t	PROPN
ejpam-194	48	27	+	+	NUM
ejpam-194	48	28	δ2kk∗∇2	δ2kk∗∇2	PROPN
ejpam-194	48	29	t	t	NOUN
ejpam-194	48	30	=	=	SYM
ejpam-194	48	31	ρce	ρce	PROPN
ejpam-194	48	32	�	�	PROPN
ejpam-194	48	33	δ1k	δ1k	VERB
ejpam-194	48	34	ṫ	ṫ	PROPN
ejpam-194	48	35	+	+	CCONJ
ejpam-194	48	36	�	�	PROPN
ejpam-194	48	37	δ1kα	δ1kα	X
ejpam-194	48	38	∗	∗	VERB
ejpam-194	48	39	+	+	CCONJ
ejpam-194	48	40	δ2k	δ2k	PROPN
ejpam-194	48	41	�	�	PROPN
ejpam-194	48	42	ẗ	ẗ	PUNCT
ejpam-194	48	43	�	�	PROPN
ejpam-194	48	44	+	+	CCONJ
ejpam-194	48	45	γt0	γt0	PROPN
ejpam-194	48	46	�	�	PROPN
ejpam-194	48	47	ζδ1k	ζδ1k	PROPN
ejpam-194	48	48	+	+	PROPN
ejpam-194	48	49	δ2k	δ2k	PROPN
ejpam-194	48	50	∂	∂	NUM
ejpam-194	48	51	∂	∂	NUM
ejpam-194	48	52	t	t	PROPN
ejpam-194	48	53	�	�	PROPN
ejpam-194	48	54	∆̇	∆̇	PROPN
ejpam-194	48	55	,	,	PUNCT
ejpam-194	48	56	(	(	PUNCT
ejpam-194	48	57	2	2	X
ejpam-194	48	58	)	)	PUNCT
ejpam-194	48	59	where	where	SCONJ
ejpam-194	48	60	τi	τi	VERB
ejpam-194	48	61	j(i	j(i	PROPN
ejpam-194	48	62	=	=	SYM
ejpam-194	48	63	r	r	NOUN
ejpam-194	48	64	,	,	PUNCT
ejpam-194	48	65	θ	θ	NOUN
ejpam-194	48	66	)	)	PUNCT
ejpam-194	48	67	is	be	AUX
ejpam-194	48	68	the	the	DET
ejpam-194	48	69	stress	stress	NOUN
ejpam-194	48	70	tensor	tensor	NOUN
ejpam-194	48	71	,	,	PUNCT
ejpam-194	48	72	∆	∆	PROPN
ejpam-194	48	73	is	be	AUX
ejpam-194	48	74	the	the	DET
ejpam-194	48	75	dilatation	dilatation	NOUN
ejpam-194	48	76	,	,	PUNCT
ejpam-194	48	77	t	t	PROPN
ejpam-194	48	78	is	be	AUX
ejpam-194	48	79	the	the	DET
ejpam-194	48	80	temperature	temperature	NOUN
ejpam-194	48	81	increase	increase	NOUN
ejpam-194	48	82	over	over	ADP
ejpam-194	48	83	the	the	DET
ejpam-194	48	84	absolute	absolute	ADJ
ejpam-194	48	85	reference	reference	NOUN
ejpam-194	48	86	temperature	temperature	NOUN
ejpam-194	48	87	t0	t0	PROPN
ejpam-194	48	88	,	,	PUNCT
ejpam-194	48	89	γ	γ	X
ejpam-194	48	90	=	=	SYM
ejpam-194	48	91	(	(	PUNCT
ejpam-194	48	92	3λ+	3λ+	NUM
ejpam-194	48	93	2µ)αt	2µ)αt	NUM
ejpam-194	48	94	,	,	PUNCT
ejpam-194	48	95	λ	λ	PROPN
ejpam-194	48	96	and	and	CCONJ
ejpam-194	48	97	µ	µ	X
ejpam-194	48	98	are	be	AUX
ejpam-194	48	99	the	the	DET
ejpam-194	48	100	lame	lame	NOUN
ejpam-194	48	101	’s	’s	PART
ejpam-194	48	102	constants	constant	NOUN
ejpam-194	48	103	,	,	PUNCT
ejpam-194	48	104	αt	αt	PROPN
ejpam-194	48	105	is	be	AUX
ejpam-194	48	106	the	the	DET
ejpam-194	48	107	coefficient	coefficient	NOUN
ejpam-194	48	108	of	of	ADP
ejpam-194	48	109	linear	linear	ADJ
ejpam-194	48	110	thermal	thermal	ADJ
ejpam-194	48	111	expansion	expansion	NOUN
ejpam-194	48	112	of	of	ADP
ejpam-194	48	113	the	the	DET
ejpam-194	48	114	material	material	NOUN
ejpam-194	48	115	,	,	PUNCT
ejpam-194	48	116	α	α	PROPN
ejpam-194	48	117	and	and	CCONJ
ejpam-194	48	118	α∗	α∗	NOUN
ejpam-194	48	119	are	be	AUX
ejpam-194	48	120	the	the	DET
ejpam-194	48	121	relaxation	relaxation	NOUN
ejpam-194	48	122	times	time	NOUN
ejpam-194	48	123	,	,	PUNCT
ejpam-194	48	124	k	k	PROPN
ejpam-194	48	125	is	be	AUX
ejpam-194	48	126	the	the	DET
ejpam-194	48	127	coefficient	coefficient	NOUN
ejpam-194	48	128	of	of	ADP
ejpam-194	48	129	thermal	thermal	ADJ
ejpam-194	48	130	conductivity	conductivity	NOUN
ejpam-194	48	131	,	,	PUNCT
ejpam-194	48	132	k∗	k∗	PROPN
ejpam-194	48	133	is	be	AUX
ejpam-194	48	134	the	the	DET
ejpam-194	48	135	additional	additional	ADJ
ejpam-194	48	136	material	material	NOUN
ejpam-194	48	137	constant	constant	ADJ
ejpam-194	48	138	,	,	PUNCT
ejpam-194	48	139	ρ	ρ	PROPN
ejpam-194	48	140	is	be	AUX
ejpam-194	48	141	the	the	DET
ejpam-194	48	142	mass	mass	ADJ
ejpam-194	48	143	density	density	NOUN
ejpam-194	48	144	,	,	PUNCT
ejpam-194	48	145	ce	ce	PROPN
ejpam-194	48	146	is	be	AUX
ejpam-194	48	147	the	the	DET
ejpam-194	48	148	specific	specific	ADJ
ejpam-194	48	149	heat	heat	NOUN
ejpam-194	48	150	of	of	ADP
ejpam-194	48	151	the	the	DET
ejpam-194	48	152	solid	solid	ADJ
ejpam-194	48	153	at	at	ADP
ejpam-194	48	154	constant	constant	ADJ
ejpam-194	48	155	strain	strain	NOUN
ejpam-194	48	156	,	,	PUNCT
ejpam-194	48	157	δi	δi	PROPN
ejpam-194	48	158	j	j	PROPN
ejpam-194	48	159	is	be	AUX
ejpam-194	48	160	the	the	DET
ejpam-194	48	161	kronecker	kronecker	NOUN
ejpam-194	48	162	delta	delta	NOUN
ejpam-194	48	163	.	.	PUNCT
ejpam-194	49	1	consider	consider	VERB
ejpam-194	49	2	the	the	DET
ejpam-194	49	3	following	follow	VERB
ejpam-194	49	4	partial	partial	ADJ
ejpam-194	49	5	cases	case	NOUN
ejpam-194	49	6	of	of	ADP
ejpam-194	49	7	equations	equation	NOUN
ejpam-194	49	8	(	(	PUNCT
ejpam-194	49	9	1	1	NUM
ejpam-194	49	10	)	)	PUNCT
ejpam-194	49	11	and	and	CCONJ
ejpam-194	49	12	(	(	PUNCT
ejpam-194	49	13	2	2	NUM
ejpam-194	49	14	):	):	PUNCT
ejpam-194	49	15	(	(	PUNCT
ejpam-194	49	16	i	i	NOUN
ejpam-194	49	17	)	)	PUNCT
ejpam-194	49	18	if	if	SCONJ
ejpam-194	49	19	α	α	NUM
ejpam-194	49	20	=	=	SYM
ejpam-194	49	21	0	0	NUM
ejpam-194	49	22	,	,	PUNCT
ejpam-194	49	23	α∗	α∗	VERB
ejpam-194	49	24	=	=	SYM
ejpam-194	49	25	0	0	NUM
ejpam-194	49	26	,	,	PUNCT
ejpam-194	49	27	k	k	NOUN
ejpam-194	49	28	=	=	SYM
ejpam-194	49	29	1	1	NUM
ejpam-194	49	30	,	,	PUNCT
ejpam-194	49	31	and	and	CCONJ
ejpam-194	49	32	ζ	ζ	NOUN
ejpam-194	49	33	=	=	SYM
ejpam-194	49	34	0	0	NUM
ejpam-194	49	35	,	,	PUNCT
ejpam-194	49	36	then	then	ADV
ejpam-194	49	37	the	the	DET
ejpam-194	49	38	equations	equation	NOUN
ejpam-194	49	39	(	(	PUNCT
ejpam-194	49	40	1	1	NUM
ejpam-194	49	41	)	)	PUNCT
ejpam-194	49	42	and	and	CCONJ
ejpam-194	49	43	(	(	PUNCT
ejpam-194	49	44	2	2	X
ejpam-194	49	45	)	)	PUNCT
ejpam-194	49	46	are	be	AUX
ejpam-194	49	47	reduced	reduce	VERB
ejpam-194	49	48	to	to	ADP
ejpam-194	49	49	the	the	DET
ejpam-194	49	50	equations	equation	NOUN
ejpam-194	49	51	of	of	ADP
ejpam-194	49	52	classical	classical	ADJ
ejpam-194	49	53	theory	theory	NOUN
ejpam-194	49	54	of	of	ADP
ejpam-194	49	55	thermo	thermo	NOUN
ejpam-194	49	56	-	-	PUNCT
ejpam-194	49	57	elasticity	elasticity	NOUN
ejpam-194	49	58	(	(	PUNCT
ejpam-194	49	59	cte	cte	NOUN
ejpam-194	49	60	)	)	PUNCT
ejpam-194	49	61	.	.	PUNCT
ejpam-194	50	1	(	(	PUNCT
ejpam-194	50	2	ii	ii	NOUN
ejpam-194	50	3	)	)	PUNCT
ejpam-194	50	4	if	if	SCONJ
ejpam-194	50	5	α	α	NOUN
ejpam-194	50	6	=	=	SYM
ejpam-194	50	7	0	0	NUM
ejpam-194	50	8	,	,	PUNCT
ejpam-194	50	9	α∗	α∗	VERB
ejpam-194	50	10	=	=	SYM
ejpam-194	50	11	0	0	NUM
ejpam-194	50	12	,	,	PUNCT
ejpam-194	50	13	k	k	NOUN
ejpam-194	50	14	=	=	SYM
ejpam-194	50	15	1	1	NUM
ejpam-194	50	16	,	,	PUNCT
ejpam-194	50	17	and	and	CCONJ
ejpam-194	50	18	ζ	ζ	NOUN
ejpam-194	50	19	=	=	SYM
ejpam-194	50	20	1	1	NUM
ejpam-194	50	21	,	,	PUNCT
ejpam-194	50	22	then	then	ADV
ejpam-194	50	23	the	the	DET
ejpam-194	50	24	equations	equation	NOUN
ejpam-194	50	25	(	(	PUNCT
ejpam-194	50	26	1	1	NUM
ejpam-194	50	27	)	)	PUNCT
ejpam-194	50	28	and	and	CCONJ
ejpam-194	50	29	(	(	PUNCT
ejpam-194	50	30	2	2	X
ejpam-194	50	31	)	)	PUNCT
ejpam-194	50	32	are	be	AUX
ejpam-194	50	33	reduced	reduce	VERB
ejpam-194	50	34	to	to	ADP
ejpam-194	50	35	the	the	DET
ejpam-194	50	36	equations	equation	NOUN
ejpam-194	50	37	of	of	ADP
ejpam-194	50	38	classical	classical	ADJ
ejpam-194	50	39	coupled	couple	VERB
ejpam-194	50	40	theory	theory	NOUN
ejpam-194	50	41	of	of	ADP
ejpam-194	50	42	thermo	thermo	NOUN
ejpam-194	50	43	-	-	PUNCT
ejpam-194	50	44	elasticity	elasticity	NOUN
ejpam-194	50	45	(	(	PUNCT
ejpam-194	50	46	ccte	ccte	NOUN
ejpam-194	50	47	)	)	PUNCT
ejpam-194	50	48	.	.	PUNCT
ejpam-194	51	1	(	(	PUNCT
ejpam-194	51	2	iii	iii	X
ejpam-194	51	3	)	)	PUNCT
ejpam-194	51	4	if	if	SCONJ
ejpam-194	51	5	k	k	PROPN
ejpam-194	51	6	=	=	SYM
ejpam-194	51	7	1	1	NUM
ejpam-194	51	8	,	,	PUNCT
ejpam-194	51	9	and	and	CCONJ
ejpam-194	51	10	ζ	ζ	NOUN
ejpam-194	51	11	=	=	SYM
ejpam-194	51	12	1	1	NUM
ejpam-194	51	13	,	,	PUNCT
ejpam-194	51	14	then	then	ADV
ejpam-194	51	15	the	the	DET
ejpam-194	51	16	equations	equation	NOUN
ejpam-194	51	17	(	(	PUNCT
ejpam-194	51	18	1	1	NUM
ejpam-194	51	19	)	)	PUNCT
ejpam-194	51	20	and	and	CCONJ
ejpam-194	51	21	(	(	PUNCT
ejpam-194	51	22	2	2	X
ejpam-194	51	23	)	)	PUNCT
ejpam-194	51	24	are	be	AUX
ejpam-194	51	25	reduced	reduce	VERB
ejpam-194	51	26	to	to	ADP
ejpam-194	51	27	the	the	DET
ejpam-194	51	28	equations	equation	NOUN
ejpam-194	51	29	of	of	ADP
ejpam-194	51	30	temperature	temperature	NOUN
ejpam-194	51	31	rate	rate	NOUN
ejpam-194	51	32	dependent	dependent	ADJ
ejpam-194	51	33	thermo	thermo	NOUN
ejpam-194	51	34	-	-	PUNCT
ejpam-194	51	35	elasticity	elasticity	NOUN
ejpam-194	51	36	theory	theory	NOUN
ejpam-194	51	37	(	(	PUNCT
ejpam-194	51	38	trdte(gl	trdte(gl	PROPN
ejpam-194	51	39	)	)	PUNCT
ejpam-194	51	40	.	.	PUNCT
ejpam-194	52	1	(	(	PUNCT
ejpam-194	52	2	iv	iv	X
ejpam-194	52	3	)	)	PUNCT
ejpam-194	52	4	if	if	SCONJ
ejpam-194	52	5	k	k	PROPN
ejpam-194	52	6	=	=	SYM
ejpam-194	52	7	2	2	NUM
ejpam-194	52	8	and	and	CCONJ
ejpam-194	52	9	k	k	NOUN
ejpam-194	52	10	=	=	SYM
ejpam-194	52	11	0	0	PROPN
ejpam-194	52	12	,	,	PUNCT
ejpam-194	52	13	then	then	ADV
ejpam-194	52	14	the	the	DET
ejpam-194	52	15	equations	equation	NOUN
ejpam-194	52	16	(	(	PUNCT
ejpam-194	52	17	1	1	NUM
ejpam-194	52	18	)	)	PUNCT
ejpam-194	52	19	and	and	CCONJ
ejpam-194	52	20	(	(	PUNCT
ejpam-194	52	21	2	2	X
ejpam-194	52	22	)	)	PUNCT
ejpam-194	52	23	are	be	AUX
ejpam-194	52	24	reduced	reduce	VERB
ejpam-194	52	25	to	to	ADP
ejpam-194	52	26	the	the	DET
ejpam-194	52	27	equations	equation	NOUN
ejpam-194	52	28	of	of	ADP
ejpam-194	52	29	thermo	thermo	NOUN
ejpam-194	52	30	-	-	PUNCT
ejpam-194	52	31	elasticity	elasticity	NOUN
ejpam-194	52	32	with	with	ADP
ejpam-194	52	33	energy	energy	NOUN
ejpam-194	52	34	dissipation	dissipation	NOUN
ejpam-194	52	35	(	(	PUNCT
ejpam-194	52	36	tewoed(gn	tewoed(gn	NOUN
ejpam-194	52	37	-	-	PUNCT
ejpam-194	52	38	ii	ii	NOUN
ejpam-194	52	39	)	)	PUNCT
ejpam-194	52	40	)	)	PUNCT
ejpam-194	52	41	.	.	PUNCT
ejpam-194	53	1	(	(	PUNCT
ejpam-194	53	2	v	v	NOUN
ejpam-194	53	3	)	)	PUNCT
ejpam-194	53	4	if	if	SCONJ
ejpam-194	53	5	k	k	PROPN
ejpam-194	53	6	=	=	SYM
ejpam-194	53	7	2	2	NUM
ejpam-194	53	8	,	,	PUNCT
ejpam-194	53	9	then	then	ADV
ejpam-194	53	10	the	the	DET
ejpam-194	53	11	equations	equation	NOUN
ejpam-194	53	12	(	(	PUNCT
ejpam-194	53	13	1	1	NUM
ejpam-194	53	14	)	)	PUNCT
ejpam-194	53	15	and	and	CCONJ
ejpam-194	53	16	(	(	PUNCT
ejpam-194	53	17	2	2	X
ejpam-194	53	18	)	)	PUNCT
ejpam-194	53	19	are	be	AUX
ejpam-194	53	20	reduced	reduce	VERB
ejpam-194	53	21	to	to	ADP
ejpam-194	53	22	the	the	DET
ejpam-194	53	23	equations	equation	NOUN
ejpam-194	53	24	of	of	ADP
ejpam-194	53	25	thermo	thermo	NOUN
ejpam-194	53	26	-	-	PUNCT
ejpam-194	53	27	elasticity	elasticity	NOUN
ejpam-194	53	28	with	with	ADP
ejpam-194	53	29	energy	energy	NOUN
ejpam-194	53	30	dissipation	dissipation	NOUN
ejpam-194	53	31	(	(	PUNCT
ejpam-194	53	32	tewed(gn	tewed(gn	NOUN
ejpam-194	53	33	-	-	PUNCT
ejpam-194	53	34	iii	iii	NOUN
ejpam-194	53	35	)	)	PUNCT
ejpam-194	53	36	)	)	PUNCT
ejpam-194	53	37	.	.	PUNCT
ejpam-194	54	1	a.	a.	PROPN
ejpam-194	54	2	kar	kar	PROPN
ejpam-194	54	3	and	and	CCONJ
ejpam-194	54	4	m.	m.	PROPN
ejpam-194	54	5	kanoria	kanoria	PROPN
ejpam-194	54	6	/	/	SYM
ejpam-194	54	7	eur	eur	PROPN
ejpam-194	54	8	.	.	PUNCT
ejpam-194	55	1	j.	j.	PROPN
ejpam-194	55	2	pure	pure	PROPN
ejpam-194	55	3	appl	appl	PROPN
ejpam-194	55	4	.	.	PROPN
ejpam-194	55	5	math	math	PROPN
ejpam-194	55	6	,	,	PUNCT
ejpam-194	55	7	2	2	NUM
ejpam-194	55	8	(	(	PUNCT
ejpam-194	55	9	2009	2009	NUM
ejpam-194	55	10	)	)	PUNCT
ejpam-194	55	11	,	,	PUNCT
ejpam-194	55	12	(	(	PUNCT
ejpam-194	55	13	125	125	NUM
ejpam-194	55	14	-	-	SYM
ejpam-194	55	15	146	146	NUM
ejpam-194	55	16	)	)	PUNCT
ejpam-194	55	17	129	129	NUM
ejpam-194	55	18	the	the	DET
ejpam-194	55	19	thermal	thermal	ADJ
ejpam-194	55	20	relaxation	relaxation	NOUN
ejpam-194	55	21	times	time	NOUN
ejpam-194	55	22	satisfy	satisfy	VERB
ejpam-194	55	23	the	the	DET
ejpam-194	55	24	inequalities	inequality	NOUN
ejpam-194	55	25	[	[	X
ejpam-194	55	26	2	2	NUM
ejpam-194	55	27	]	]	PUNCT
ejpam-194	55	28	α≥	α≥	NOUN
ejpam-194	55	29	α∗	α∗	NOUN
ejpam-194	55	30	>	>	X
ejpam-194	55	31	0	0	PUNCT
ejpam-194	56	1	in	in	ADP
ejpam-194	56	2	the	the	DET
ejpam-194	56	3	case	case	NOUN
ejpam-194	56	4	of	of	ADP
ejpam-194	56	5	trdte(gl	trdte(gl	NOUN
ejpam-194	56	6	)	)	PUNCT
ejpam-194	56	7	theory	theory	NOUN
ejpam-194	56	8	.	.	PUNCT
ejpam-194	57	1	if	if	SCONJ
ejpam-194	57	2	u∼	u∼	PROPN
ejpam-194	57	3	=	=	PUNCT
ejpam-194	58	1	[	[	X
ejpam-194	58	2	u(r	u(r	PROPN
ejpam-194	58	3	,	,	PUNCT
ejpam-194	58	4	t	t	PROPN
ejpam-194	58	5	)	)	PUNCT
ejpam-194	58	6	,	,	PUNCT
ejpam-194	58	7	0,0	0,0	NOUN
ejpam-194	58	8	]	]	PUNCT
ejpam-194	58	9	be	be	VERB
ejpam-194	58	10	the	the	DET
ejpam-194	58	11	displacement	displacement	ADJ
ejpam-194	58	12	vector	vector	NOUN
ejpam-194	58	13	,	,	PUNCT
ejpam-194	58	14	then	then	ADV
ejpam-194	58	15	er	er	INTJ
ejpam-194	58	16	r	r	NOUN
ejpam-194	58	17	=	=	SYM
ejpam-194	58	18	∂	∂	NUM
ejpam-194	58	19	u	u	NOUN
ejpam-194	58	20	∂	∂	NOUN
ejpam-194	58	21	r	r	NOUN
ejpam-194	58	22	,	,	PUNCT
ejpam-194	58	23	eθθ	eθθ	PROPN
ejpam-194	58	24	=	=	PUNCT
ejpam-194	58	25	eφφ	eφφ	PROPN
ejpam-194	58	26	=	=	SYM
ejpam-194	58	27	u	u	NOUN
ejpam-194	58	28	r	r	NOUN
ejpam-194	58	29	.	.	PUNCT
ejpam-194	59	1	(	(	PUNCT
ejpam-194	59	2	3	3	X
ejpam-194	59	3	)	)	PUNCT
ejpam-194	59	4	the	the	DET
ejpam-194	59	5	stress	stress	ADJ
ejpam-194	59	6	equation	equation	NOUN
ejpam-194	59	7	of	of	ADP
ejpam-194	59	8	motion	motion	NOUN
ejpam-194	59	9	in	in	ADP
ejpam-194	59	10	spherical	spherical	ADJ
ejpam-194	59	11	polar	polar	ADJ
ejpam-194	59	12	co	co	NOUN
ejpam-194	59	13	-	-	NOUN
ejpam-194	59	14	ordinates	ordinate	NOUN
ejpam-194	59	15	is	be	AUX
ejpam-194	59	16	given	give	VERB
ejpam-194	59	17	by	by	ADP
ejpam-194	59	18	∂	∂	NUM
ejpam-194	59	19	τr	τr	ADP
ejpam-194	60	1	r	r	NOUN
ejpam-194	60	2	∂	∂	NUM
ejpam-194	60	3	r	r	NOUN
ejpam-194	60	4	+	+	NOUN
ejpam-194	60	5	2	2	NUM
ejpam-194	60	6	r	r	NOUN
ejpam-194	60	7	(	(	PUNCT
ejpam-194	60	8	τr	τr	ADP
ejpam-194	60	9	r	r	NOUN
ejpam-194	60	10	−τθθ	−τθθ	NUM
ejpam-194	60	11	)	)	PUNCT
ejpam-194	61	1	=	=	SYM
ejpam-194	61	2	ρ	ρ	PROPN
ejpam-194	61	3	∂	∂	NUM
ejpam-194	61	4	2u	2u	PROPN
ejpam-194	61	5	∂	∂	NOUN
ejpam-194	61	6	t2	t2	PROPN
ejpam-194	61	7	.	.	PUNCT
ejpam-194	62	1	(	(	PUNCT
ejpam-194	62	2	4	4	X
ejpam-194	62	3	)	)	PUNCT
ejpam-194	62	4	introducing	introduce	VERB
ejpam-194	62	5	the	the	DET
ejpam-194	62	6	following	follow	VERB
ejpam-194	62	7	dimensionless	dimensionless	NOUN
ejpam-194	62	8	quantities	quantity	NOUN
ejpam-194	62	9	u	u	NOUN
ejpam-194	62	10	=	=	X
ejpam-194	62	11	(	(	PUNCT
ejpam-194	62	12	λ+	λ+	PUNCT
ejpam-194	62	13	2µ)u	2µ)u	NUM
ejpam-194	62	14	aγt0	aγt0	NOUN
ejpam-194	62	15	;	;	PUNCT
ejpam-194	62	16	(	(	PUNCT
ejpam-194	62	17	r	r	NOUN
ejpam-194	62	18	,	,	PUNCT
ejpam-194	62	19	s	s	NOUN
ejpam-194	62	20	)	)	PUNCT
ejpam-194	62	21	=	=	SYM
ejpam-194	62	22	�	�	PROPN
ejpam-194	62	23	r	r	NOUN
ejpam-194	62	24	a	a	PRON
ejpam-194	62	25	,	,	PUNCT
ejpam-194	62	26	b	b	PROPN
ejpam-194	62	27	a	a	DET
ejpam-194	62	28	�	�	PROPN
ejpam-194	62	29	;	;	PUNCT
ejpam-194	62	30	(	(	PUNCT
ejpam-194	62	31	σr	σr	INTJ
ejpam-194	62	32	,	,	PUNCT
ejpam-194	62	33	σθ	σθ	NOUN
ejpam-194	62	34	)	)	PUNCT
ejpam-194	62	35	=	=	PUNCT
ejpam-194	62	36	1	1	NUM
ejpam-194	62	37	γt0	γt0	NOUN
ejpam-194	62	38	(	(	PUNCT
ejpam-194	62	39	τr	τr	ADP
ejpam-194	62	40	r	r	NOUN
ejpam-194	62	41	,	,	PUNCT
ejpam-194	62	42	τθθ	τθθ	NOUN
ejpam-194	62	43	)	)	PUNCT
ejpam-194	62	44	;	;	PUNCT
ejpam-194	62	45	θ	θ	PROPN
ejpam-194	62	46	=	=	SYM
ejpam-194	62	47	t	t	PROPN
ejpam-194	62	48	t0	t0	NOUN
ejpam-194	62	49	;	;	PUNCT
ejpam-194	62	50	η=	η=	NOUN
ejpam-194	62	51	gt	gt	PROPN
ejpam-194	62	52	a	a	X
ejpam-194	62	53	;	;	PUNCT
ejpam-194	62	54	g2	g2	PROPN
ejpam-194	62	55	=	=	PRON
ejpam-194	62	56	λ+	λ+	PUNCT
ejpam-194	62	57	2µ	2µ	NUM
ejpam-194	62	58	ρ	ρ	NOUN
ejpam-194	62	59	;	;	PUNCT
ejpam-194	62	60	α	α	PRON
ejpam-194	62	61	′	′	NUM
ejpam-194	62	62	=	=	PUNCT
ejpam-194	62	63	αg	αg	INTJ
ejpam-194	62	64	a	a	PRON
ejpam-194	62	65	;	;	PUNCT
ejpam-194	62	66	α∗	α∗	NOUN
ejpam-194	62	67	′	′	NUM
ejpam-194	62	68	=	=	SYM
ejpam-194	62	69	α∗g	α∗g	PROPN
ejpam-194	62	70	a	a	NOUN
ejpam-194	62	71	;	;	PUNCT
ejpam-194	62	72	equations	equation	NOUN
ejpam-194	62	73	(	(	PUNCT
ejpam-194	62	74	1	1	NUM
ejpam-194	62	75	)	)	PUNCT
ejpam-194	62	76	,	,	PUNCT
ejpam-194	62	77	(	(	PUNCT
ejpam-194	62	78	2	2	X
ejpam-194	62	79	)	)	PUNCT
ejpam-194	62	80	and	and	CCONJ
ejpam-194	62	81	(	(	PUNCT
ejpam-194	62	82	4	4	X
ejpam-194	62	83	)	)	PUNCT
ejpam-194	62	84	become	become	VERB
ejpam-194	62	85	σr	σr	PROPN
ejpam-194	62	86	=	=	SYM
ejpam-194	62	87	∂	∂	NUM
ejpam-194	62	88	u	u	NOUN
ejpam-194	62	89	∂	∂	NOUN
ejpam-194	62	90	r	r	NOUN
ejpam-194	62	91	+	+	NUM
ejpam-194	62	92	2λ1	2λ1	NUM
ejpam-194	62	93	u	u	NOUN
ejpam-194	62	94	r	r	NOUN
ejpam-194	62	95	−	−	PROPN
ejpam-194	62	96	�	�	PROPN
ejpam-194	62	97	θ+	θ+	ADP
ejpam-194	62	98	δ1kα	δ1kα	NUM
ejpam-194	62	99	′	′	NUM
ejpam-194	62	100	δθ	δθ	PROPN
ejpam-194	62	101	δη	δη	PROPN
ejpam-194	62	102	�	�	PROPN
ejpam-194	62	103	,	,	PUNCT
ejpam-194	62	104	(	(	PUNCT
ejpam-194	62	105	5	5	X
ejpam-194	62	106	)	)	PUNCT
ejpam-194	62	107	σθ	σθ	NOUN
ejpam-194	62	108	=	=	SYM
ejpam-194	63	1	λ1	λ1	PROPN
ejpam-194	63	2	∂	∂	NUM
ejpam-194	63	3	u	u	NOUN
ejpam-194	63	4	∂	∂	NOUN
ejpam-194	63	5	r	r	NOUN
ejpam-194	63	6	+	+	CCONJ
ejpam-194	63	7	(	(	PUNCT
ejpam-194	63	8	λ1	λ1	ADJ
ejpam-194	63	9	+	+	NOUN
ejpam-194	63	10	1	1	NUM
ejpam-194	63	11	)	)	PUNCT
ejpam-194	63	12	u	u	NOUN
ejpam-194	63	13	r	r	NOUN
ejpam-194	63	14	−	−	PROPN
ejpam-194	63	15	�	�	PROPN
ejpam-194	63	16	θ+	θ+	ADP
ejpam-194	63	17	δ1kα	δ1kα	NUM
ejpam-194	63	18	′	′	NUM
ejpam-194	63	19	δθ	δθ	PROPN
ejpam-194	63	20	δη	δη	PROPN
ejpam-194	63	21	�	�	PROPN
ejpam-194	63	22	,	,	PUNCT
ejpam-194	63	23	(	(	PUNCT
ejpam-194	63	24	6	6	NUM
ejpam-194	63	25	)	)	PUNCT
ejpam-194	63	26	�	�	PROPN
ejpam-194	63	27	�	�	PROPN
ejpam-194	63	28	δ1k	δ1k	VERB
ejpam-194	63	29	+	+	CCONJ
ejpam-194	63	30	g	g	PROPN
ejpam-194	63	31	a	a	DET
ejpam-194	63	32	∂	∂	NUM
ejpam-194	63	33	∂	∂	NUM
ejpam-194	63	34	η	η	PROPN
ejpam-194	63	35	δ2k	δ2k	PROPN
ejpam-194	63	36	�	�	PROPN
ejpam-194	63	37	c2	c2	PROPN
ejpam-194	63	38	k	k	PROPN
ejpam-194	64	1	+	+	CCONJ
ejpam-194	64	2	g	g	PROPN
ejpam-194	64	3	a	a	DET
ejpam-194	64	4	c2	c2	PROPN
ejpam-194	64	5	tδ2k	tδ2k	PROPN
ejpam-194	64	6	�	�	PROPN
ejpam-194	64	7	�	�	PROPN
ejpam-194	64	8	∂	∂	NUM
ejpam-194	64	9	2θ	2θ	NUM
ejpam-194	64	10	∂	∂	NUM
ejpam-194	64	11	r2	r2	NOUN
ejpam-194	64	12	+	+	CCONJ
ejpam-194	64	13	2	2	NUM
ejpam-194	64	14	r	r	NOUN
ejpam-194	64	15	∂θ	∂θ	PROPN
ejpam-194	64	16	∂	∂	NUM
ejpam-194	64	17	r	r	NOUN
ejpam-194	64	18	�	�	NOUN
ejpam-194	64	19	=	=	SYM
ejpam-194	64	20	¨	¨	NOUN
ejpam-194	64	21	δ1k	δ1k	VERB
ejpam-194	64	22	∂θ	∂θ	PROPN
ejpam-194	64	23	∂	∂	NUM
ejpam-194	64	24	η	η	PROPN
ejpam-194	64	25	+	+	PROPN
ejpam-194	64	26	�	�	PROPN
ejpam-194	64	27	α∗	α∗	NOUN
ejpam-194	64	28	′	′	NUM
ejpam-194	64	29	δ1k	δ1k	VERB
ejpam-194	64	30	+	+	CCONJ
ejpam-194	64	31	g	g	PROPN
ejpam-194	64	32	a	a	DET
ejpam-194	64	33	δ2k	δ2k	PROPN
ejpam-194	64	34	�	�	PROPN
ejpam-194	64	35	∂	∂	NUM
ejpam-194	64	36	2θ	2θ	NUM
ejpam-194	64	37	∂	∂	NUM
ejpam-194	64	38	η2	η2	PROPN
ejpam-194	64	39	«	«	PUNCT
ejpam-194	64	40	+	+	NUM
ejpam-194	64	41	ε	ε	PROPN
ejpam-194	64	42	�	�	PROPN
ejpam-194	64	43	ζδ1k	ζδ1k	PROPN
ejpam-194	64	44	∂	∂	NUM
ejpam-194	64	45	∂	∂	NUM
ejpam-194	64	46	η	η	PROPN
ejpam-194	64	47	+	+	PROPN
ejpam-194	64	48	g	g	PROPN
ejpam-194	64	49	a	a	DET
ejpam-194	64	50	∂	∂	NUM
ejpam-194	64	51	2	2	NUM
ejpam-194	64	52	∂	∂	NUM
ejpam-194	64	53	η2	η2	PROPN
ejpam-194	64	54	δ2k	δ2k	PROPN
ejpam-194	64	55	�	�	PROPN
ejpam-194	64	56	�	�	PROPN
ejpam-194	64	57	∂	∂	NUM
ejpam-194	64	58	u	u	NOUN
ejpam-194	64	59	∂	∂	NOUN
ejpam-194	64	60	r	r	NOUN
ejpam-194	64	61	+	+	PROPN
ejpam-194	64	62	2u	2u	PROPN
ejpam-194	64	63	r	r	PROPN
ejpam-194	64	64	�	�	PROPN
ejpam-194	64	65	(	(	PUNCT
ejpam-194	64	66	7	7	NUM
ejpam-194	64	67	)	)	PUNCT
ejpam-194	64	68	and	and	CCONJ
ejpam-194	64	69	∂	∂	NUM
ejpam-194	64	70	2u	2u	NOUN
ejpam-194	64	71	∂	∂	NOUN
ejpam-194	64	72	r2	r2	NOUN
ejpam-194	64	73	+	+	CCONJ
ejpam-194	64	74	2	2	NUM
ejpam-194	64	75	r	r	NOUN
ejpam-194	64	76	∂	∂	NUM
ejpam-194	64	77	u	u	NOUN
ejpam-194	64	78	∂	∂	NOUN
ejpam-194	64	79	r	r	NOUN
ejpam-194	64	80	−	−	NOUN
ejpam-194	64	81	2u	2u	NOUN
ejpam-194	64	82	r2	r2	NOUN
ejpam-194	64	83	=	=	SYM
ejpam-194	64	84	�	�	PROPN
ejpam-194	64	85	1	1	NUM
ejpam-194	64	86	+	+	NUM
ejpam-194	64	87	δ1kα	δ1kα	NUM
ejpam-194	64	88	′	′	NUM
ejpam-194	64	89	∂	∂	NUM
ejpam-194	64	90	∂	∂	NUM
ejpam-194	64	91	η	η	PROPN
ejpam-194	64	92	�	�	PROPN
ejpam-194	64	93	∂θ	∂θ	PROPN
ejpam-194	64	94	∂	∂	NUM
ejpam-194	64	95	r	r	NOUN
ejpam-194	64	96	+	+	SYM
ejpam-194	64	97	∂	∂	NUM
ejpam-194	64	98	2u	2u	NOUN
ejpam-194	64	99	∂	∂	NOUN
ejpam-194	64	100	η2	η2	PROPN
ejpam-194	64	101	,	,	PUNCT
ejpam-194	64	102	(	(	PUNCT
ejpam-194	64	103	8)	8)	NUM
ejpam-194	64	104	where	where	SCONJ
ejpam-194	64	105	λ1	λ1	ADJ
ejpam-194	64	106	=	=	SYM
ejpam-194	64	107	λ	λ	PROPN
ejpam-194	64	108	λ+	λ+	PUNCT
ejpam-194	64	109	2µ	2µ	NUM
ejpam-194	64	110	,	,	PUNCT
ejpam-194	64	111	c2	c2	PROPN
ejpam-194	64	112	t	t	PROPN
ejpam-194	64	113	=	=	SYM
ejpam-194	64	114	k∗	k∗	PROPN
ejpam-194	64	115	ρceg	ρceg	VERB
ejpam-194	64	116	2	2	NUM
ejpam-194	64	117	c2	c2	PROPN
ejpam-194	64	118	k	k	PROPN
ejpam-194	65	1	=	=	PUNCT
ejpam-194	65	2	k	k	PROPN
ejpam-194	65	3	aρceg	aρceg	VERB
ejpam-194	65	4	,	,	PUNCT
ejpam-194	65	5	and	and	CCONJ
ejpam-194	65	6	ε	ε	PROPN
ejpam-194	65	7	=	=	SYM
ejpam-194	66	1	γ2t0	γ2t0	X
ejpam-194	66	2	ρce(λ+	ρce(λ+	NOUN
ejpam-194	66	3	2µ	2µ	NUM
ejpam-194	66	4	)	)	PUNCT
ejpam-194	66	5	are	be	AUX
ejpam-194	66	6	dimensionless	dimensionless	ADJ
ejpam-194	66	7	constants	constant	NOUN
ejpam-194	66	8	.	.	PUNCT
ejpam-194	67	1	ε	ε	PROPN
ejpam-194	67	2	being	be	AUX
ejpam-194	67	3	the	the	DET
ejpam-194	67	4	thermo	thermo	NOUN
ejpam-194	67	5	-	-	PUNCT
ejpam-194	67	6	elastic	elastic	ADJ
ejpam-194	67	7	coupling	coupling	NOUN
ejpam-194	67	8	constant	constant	ADJ
ejpam-194	67	9	.	.	PUNCT
ejpam-194	68	1	here	here	ADV
ejpam-194	68	2	ct	ct	PROPN
ejpam-194	68	3	is	be	AUX
ejpam-194	68	4	the	the	DET
ejpam-194	68	5	nondimensional	nondimensional	ADJ
ejpam-194	68	6	a.	a.	NOUN
ejpam-194	68	7	kar	kar	PROPN
ejpam-194	68	8	and	and	CCONJ
ejpam-194	68	9	m.	m.	PROPN
ejpam-194	68	10	kanoria	kanoria	PROPN
ejpam-194	68	11	/	/	SYM
ejpam-194	68	12	eur	eur	PROPN
ejpam-194	68	13	.	.	PUNCT
ejpam-194	69	1	j.	j.	PROPN
ejpam-194	69	2	pure	pure	PROPN
ejpam-194	69	3	appl	appl	PROPN
ejpam-194	69	4	.	.	PROPN
ejpam-194	69	5	math	math	PROPN
ejpam-194	69	6	,	,	PUNCT
ejpam-194	69	7	2	2	NUM
ejpam-194	69	8	(	(	PUNCT
ejpam-194	69	9	2009	2009	NUM
ejpam-194	69	10	)	)	PUNCT
ejpam-194	69	11	,	,	PUNCT
ejpam-194	69	12	(	(	PUNCT
ejpam-194	69	13	125	125	NUM
ejpam-194	69	14	-	-	SYM
ejpam-194	69	15	146	146	NUM
ejpam-194	69	16	)	)	PUNCT
ejpam-194	69	17	130	130	NUM
ejpam-194	69	18	thermal	thermal	ADJ
ejpam-194	69	19	wave	wave	NOUN
ejpam-194	69	20	velocity	velocity	NOUN
ejpam-194	69	21	and	and	CCONJ
ejpam-194	69	22	ck	ck	NOUN
ejpam-194	69	23	is	be	AUX
ejpam-194	69	24	the	the	DET
ejpam-194	69	25	damping	damp	VERB
ejpam-194	69	26	co	co	NOUN
ejpam-194	69	27	-	-	ADJ
ejpam-194	69	28	efficient	efficient	ADJ
ejpam-194	69	29	.	.	PUNCT
ejpam-194	70	1	in	in	ADP
ejpam-194	70	2	the	the	DET
ejpam-194	70	3	case	case	NOUN
ejpam-194	70	4	ck	ck	ADJ
ejpam-194	70	5	=	=	SYM
ejpam-194	70	6	0	0	NUM
ejpam-194	70	7	,	,	PUNCT
ejpam-194	70	8	we	we	PRON
ejpam-194	70	9	arrive	arrive	VERB
ejpam-194	70	10	at	at	ADP
ejpam-194	70	11	the	the	DET
ejpam-194	70	12	thermo	thermo	NOUN
ejpam-194	70	13	-	-	PUNCT
ejpam-194	70	14	elasticity	elasticity	NOUN
ejpam-194	70	15	equations	equation	NOUN
ejpam-194	70	16	without	without	ADP
ejpam-194	70	17	energy	energy	NOUN
ejpam-194	70	18	dissipation	dissipation	NOUN
ejpam-194	70	19	theory	theory	NOUN
ejpam-194	70	20	(	(	PUNCT
ejpam-194	70	21	tewoed(gn	tewoed(gn	PROPN
ejpam-194	70	22	-	-	PUNCT
ejpam-194	70	23	ii	ii	NOUN
ejpam-194	70	24	)	)	PUNCT
ejpam-194	70	25	)	)	PUNCT
ejpam-194	70	26	for	for	ADP
ejpam-194	70	27	greennaghdi	greennaghdi	ADJ
ejpam-194	70	28	model	model	NOUN
ejpam-194	70	29	.	.	PUNCT
ejpam-194	71	1	the	the	DET
ejpam-194	71	2	boundary	boundary	ADJ
ejpam-194	71	3	conditions	condition	NOUN
ejpam-194	71	4	are	be	AUX
ejpam-194	71	5	given	give	VERB
ejpam-194	71	6	by	by	ADP
ejpam-194	71	7	σr	σr	PROPN
ejpam-194	71	8	=	=	SYM
ejpam-194	71	9	0	0	NUM
ejpam-194	71	10	on	on	ADP
ejpam-194	71	11	r=	r=	PROPN
ejpam-194	71	12	1,s	1,s	PROPN
ejpam-194	71	13	η	η	X
ejpam-194	71	14	≥	≥	PROPN
ejpam-194	71	15	0	0	NUM
ejpam-194	71	16	,	,	PUNCT
ejpam-194	71	17	θ=	θ=	X
ejpam-194	71	18	χ1h(η	χ1h(η	PROPN
ejpam-194	71	19	)	)	PUNCT
ejpam-194	71	20	,	,	PUNCT
ejpam-194	71	21	on	on	ADP
ejpam-194	71	22	r=	r=	ADJ
ejpam-194	71	23	1	1	NUM
ejpam-194	71	24	,	,	PUNCT
ejpam-194	71	25	η	η	PROPN
ejpam-194	71	26	>	>	X
ejpam-194	71	27	0	0	PROPN
ejpam-194	71	28	,	,	PUNCT
ejpam-194	71	29	=	=	SYM
ejpam-194	71	30	χ2h(η	χ2h(η	ADJ
ejpam-194	71	31	)	)	PUNCT
ejpam-194	71	32	on	on	ADP
ejpam-194	71	33	r=	r=	PROPN
ejpam-194	71	34	s	s	PROPN
ejpam-194	71	35	,	,	PUNCT
ejpam-194	71	36	η	η	PROPN
ejpam-194	71	37	>	>	X
ejpam-194	71	38	0	0	PROPN
ejpam-194	71	39	,	,	PUNCT
ejpam-194	71	40	where	where	SCONJ
ejpam-194	71	41	χ1	χ1	NOUN
ejpam-194	71	42	and	and	CCONJ
ejpam-194	71	43	χ2	χ2	PROPN
ejpam-194	71	44	are	be	AUX
ejpam-194	71	45	dimensionless	dimensionless	NOUN
ejpam-194	71	46	constants	constant	NOUN
ejpam-194	71	47	and	and	CCONJ
ejpam-194	71	48	h(η	h(η	NOUN
ejpam-194	71	49	)	)	PUNCT
ejpam-194	71	50	is	be	AUX
ejpam-194	71	51	the	the	DET
ejpam-194	71	52	heaviside	heaviside	ADJ
ejpam-194	71	53	unit	unit	NOUN
ejpam-194	71	54	step	step	NOUN
ejpam-194	71	55	function	function	NOUN
ejpam-194	71	56	.	.	PUNCT
ejpam-194	72	1	the	the	DET
ejpam-194	72	2	above	above	ADJ
ejpam-194	72	3	conditions	condition	NOUN
ejpam-194	72	4	indicate	indicate	VERB
ejpam-194	72	5	that	that	SCONJ
ejpam-194	72	6	for	for	ADP
ejpam-194	72	7	time	time	NOUN
ejpam-194	72	8	η	η	PROPN
ejpam-194	72	9	≤	≤	X
ejpam-194	72	10	0	0	PUNCT
ejpam-194	72	11	there	there	PRON
ejpam-194	72	12	is	be	VERB
ejpam-194	72	13	no	no	DET
ejpam-194	72	14	temperature	temperature	NOUN
ejpam-194	72	15	(	(	PUNCT
ejpam-194	72	16	θ	θ	NOUN
ejpam-194	72	17	=	=	SYM
ejpam-194	72	18	0	0	NUM
ejpam-194	72	19	)	)	PUNCT
ejpam-194	72	20	.	.	PUNCT
ejpam-194	73	1	thermal	thermal	ADJ
ejpam-194	73	2	shocks	shock	NOUN
ejpam-194	73	3	are	be	AUX
ejpam-194	73	4	given	give	VERB
ejpam-194	73	5	on	on	ADP
ejpam-194	73	6	the	the	DET
ejpam-194	73	7	boundaries	boundary	NOUN
ejpam-194	73	8	of	of	ADP
ejpam-194	73	9	the	the	DET
ejpam-194	73	10	shell	shell	NOUN
ejpam-194	73	11	(	(	PUNCT
ejpam-194	73	12	r	r	NOUN
ejpam-194	73	13	=	=	SYM
ejpam-194	73	14	1	1	NUM
ejpam-194	73	15	,	,	PUNCT
ejpam-194	73	16	s	s	PART
ejpam-194	73	17	)	)	PUNCT
ejpam-194	73	18	immediately	immediately	ADV
ejpam-194	73	19	after	after	ADP
ejpam-194	73	20	time	time	NOUN
ejpam-194	73	21	η	η	PROPN
ejpam-194	73	22	=	=	PROPN
ejpam-194	73	23	0	0	PROPN
ejpam-194	73	24	.	.	PUNCT
ejpam-194	73	25	thermal	thermal	ADJ
ejpam-194	73	26	stresses	stress	NOUN
ejpam-194	73	27	in	in	ADP
ejpam-194	73	28	the	the	DET
ejpam-194	73	29	elastic	elastic	ADJ
ejpam-194	73	30	medium	medium	NOUN
ejpam-194	73	31	due	due	ADP
ejpam-194	73	32	to	to	ADP
ejpam-194	73	33	the	the	DET
ejpam-194	73	34	application	application	NOUN
ejpam-194	73	35	of	of	ADP
ejpam-194	73	36	these	these	DET
ejpam-194	73	37	thermal	thermal	ADJ
ejpam-194	73	38	shocks	shock	NOUN
ejpam-194	73	39	are	be	AUX
ejpam-194	73	40	calculated	calculate	VERB
ejpam-194	73	41	.	.	PUNCT
ejpam-194	74	1	we	we	PRON
ejpam-194	74	2	assume	assume	VERB
ejpam-194	74	3	that	that	SCONJ
ejpam-194	74	4	the	the	DET
ejpam-194	74	5	medium	medium	NOUN
ejpam-194	74	6	is	be	AUX
ejpam-194	74	7	at	at	ADP
ejpam-194	74	8	rest	rest	NOUN
ejpam-194	74	9	and	and	CCONJ
ejpam-194	74	10	undisturbed	undisturbed	ADJ
ejpam-194	74	11	initially	initially	ADV
ejpam-194	74	12	.	.	PUNCT
ejpam-194	75	1	the	the	DET
ejpam-194	75	2	initial	initial	ADJ
ejpam-194	75	3	and	and	CCONJ
ejpam-194	75	4	regularity	regularity	NOUN
ejpam-194	75	5	conditions	condition	NOUN
ejpam-194	75	6	can	can	AUX
ejpam-194	75	7	be	be	AUX
ejpam-194	75	8	written	write	VERB
ejpam-194	75	9	as	as	ADP
ejpam-194	75	10	u	u	NOUN
ejpam-194	75	11	=	=	PROPN
ejpam-194	75	12	θ	θ	NOUN
ejpam-194	75	13	=	=	SYM
ejpam-194	75	14	0	0	NUM
ejpam-194	75	15	at	at	ADP
ejpam-194	75	16	η	η	PROPN
ejpam-194	75	17	=	=	SYM
ejpam-194	75	18	0,r≥	0,r≥	PROPN
ejpam-194	75	19	1	1	NUM
ejpam-194	75	20	,	,	PUNCT
ejpam-194	75	21	∂	∂	NUM
ejpam-194	75	22	u	u	NOUN
ejpam-194	75	23	∂	∂	NOUN
ejpam-194	75	24	η	η	X
ejpam-194	75	25	=	=	PROPN
ejpam-194	75	26	0	0	NUM
ejpam-194	75	27	at	at	ADP
ejpam-194	75	28	η	η	PROPN
ejpam-194	75	29	=	=	SYM
ejpam-194	75	30	0	0	PROPN
ejpam-194	75	31	,	,	PUNCT
ejpam-194	75	32	u	u	NOUN
ejpam-194	75	33	=	=	SYM
ejpam-194	75	34	θ	θ	X
ejpam-194	75	35	=	=	SYM
ejpam-194	75	36	0	0	PUNCT
ejpam-194	75	37	when	when	SCONJ
ejpam-194	75	38	r→∞.	r→∞.	PROPN
ejpam-194	75	39	3	3	X
ejpam-194	75	40	.	.	X
ejpam-194	75	41	method	method	NOUN
ejpam-194	75	42	of	of	ADP
ejpam-194	75	43	solution	solution	NOUN
ejpam-194	75	44	let	let	VERB
ejpam-194	75	45	¦	¦	PROPN
ejpam-194	75	46	u(r	u(r	PROPN
ejpam-194	75	47	,	,	PUNCT
ejpam-194	75	48	p),θ(r	p),θ(r	X
ejpam-194	75	49	,	,	PUNCT
ejpam-194	75	50	p	p	NOUN
ejpam-194	75	51	)	)	PUNCT
ejpam-194	75	52	©	©	PROPN
ejpam-194	75	53	=	=	SYM
ejpam-194	75	54	∫	∫	PROPN
ejpam-194	75	55	∞	∞	PROPN
ejpam-194	75	56	0	0	NUM
ejpam-194	75	57	�	�	PROPN
ejpam-194	75	58	u(r	u(r	PROPN
ejpam-194	75	59	,	,	PUNCT
ejpam-194	75	60	η),θ(r	η),θ(r	PROPN
ejpam-194	75	61	,	,	PUNCT
ejpam-194	75	62	η	η	NOUN
ejpam-194	75	63	)	)	PUNCT
ejpam-194	75	64	e−pηdη	e−pηdη	X
ejpam-194	75	65	with	with	ADP
ejpam-194	75	66	re(p	re(p	NOUN
ejpam-194	75	67	)	)	PUNCT
ejpam-194	75	68	>	>	SYM
ejpam-194	75	69	0	0	PUNCT
ejpam-194	75	70	denote	denote	VERB
ejpam-194	75	71	the	the	DET
ejpam-194	75	72	laplace	laplace	NOUN
ejpam-194	75	73	transform	transform	NOUN
ejpam-194	75	74	of	of	ADP
ejpam-194	75	75	u	u	NOUN
ejpam-194	75	76	and	and	CCONJ
ejpam-194	75	77	θ	θ	NOUN
ejpam-194	75	78	respectively	respectively	ADV
ejpam-194	75	79	.	.	PUNCT
ejpam-194	76	1	application	application	NOUN
ejpam-194	76	2	of	of	ADP
ejpam-194	76	3	the	the	DET
ejpam-194	76	4	laplace	laplace	NOUN
ejpam-194	76	5	transform	transform	NOUN
ejpam-194	76	6	,	,	PUNCT
ejpam-194	76	7	equations	equation	NOUN
ejpam-194	76	8	(	(	PUNCT
ejpam-194	76	9	7	7	NUM
ejpam-194	76	10	)	)	PUNCT
ejpam-194	76	11	and	and	CCONJ
ejpam-194	76	12	(	(	PUNCT
ejpam-194	76	13	8)	8)	NUM
ejpam-194	76	14	yields	yield	NOUN
ejpam-194	76	15	d2θ	d2θ	PROPN
ejpam-194	76	16	dr2	dr2	PROPN
ejpam-194	76	17	+	+	CCONJ
ejpam-194	76	18	2	2	NUM
ejpam-194	76	19	r	r	NOUN
ejpam-194	76	20	dθ	dθ	PROPN
ejpam-194	76	21	dr	dr	PROPN
ejpam-194	76	22	=	=	PROPN
ejpam-194	76	23	p	p	PROPN
ejpam-194	76	24			PROPN
ejpam-194	76	25			PROPN
ejpam-194	76	26			PROPN
ejpam-194	76	27	(	(	PUNCT
ejpam-194	76	28	1+α∗	1+α∗	NUM
ejpam-194	76	29	′	′	NUM
ejpam-194	76	30	p)δ1k	p)δ1k	VERB
ejpam-194	76	31	+	+	CCONJ
ejpam-194	76	32	pδ2k	pδ2k	NUM
ejpam-194	76	33	c2	c2	NOUN
ejpam-194	76	34	k(δ1k	k(δ1k	VERB
ejpam-194	76	35	+	+	X
ejpam-194	76	36	pδ2k	pδ2k	NUM
ejpam-194	76	37	)	)	PUNCT
ejpam-194	77	1	+	+	CCONJ
ejpam-194	77	2	c2	c2	PROPN
ejpam-194	77	3	tδ2k	tδ2k	PROPN
ejpam-194	77	4			PROPN
ejpam-194	77	5			PROPN
ejpam-194	77	6	θ+	θ+	NOUN
ejpam-194	77	7	a.	a.	NOUN
ejpam-194	77	8	kar	kar	PROPN
ejpam-194	77	9	and	and	CCONJ
ejpam-194	77	10	m.	m.	PROPN
ejpam-194	77	11	kanoria	kanoria	PROPN
ejpam-194	77	12	/	/	SYM
ejpam-194	77	13	eur	eur	PROPN
ejpam-194	77	14	.	.	PUNCT
ejpam-194	78	1	j.	j.	PROPN
ejpam-194	78	2	pure	pure	PROPN
ejpam-194	78	3	appl	appl	PROPN
ejpam-194	78	4	.	.	PROPN
ejpam-194	78	5	math	math	PROPN
ejpam-194	78	6	,	,	PUNCT
ejpam-194	78	7	2	2	NUM
ejpam-194	78	8	(	(	PUNCT
ejpam-194	78	9	2009	2009	NUM
ejpam-194	78	10	)	)	PUNCT
ejpam-194	78	11	,	,	PUNCT
ejpam-194	78	12	(	(	PUNCT
ejpam-194	78	13	125	125	NUM
ejpam-194	78	14	-	-	SYM
ejpam-194	78	15	146	146	NUM
ejpam-194	78	16	)	)	PUNCT
ejpam-194	78	17	131	131	NUM
ejpam-194	78	18	εp	εp	NOUN
ejpam-194	78	19	¨	¨	NOUN
ejpam-194	78	20	ζδ1k	ζδ1k	VERB
ejpam-194	78	21	+	+	CCONJ
ejpam-194	78	22	pδ2k	pδ2k	NUM
ejpam-194	78	23	c2	c2	NOUN
ejpam-194	78	24	k(δ1k	k(δ1k	VERB
ejpam-194	78	25	+	+	X
ejpam-194	78	26	pδ2k	pδ2k	NUM
ejpam-194	78	27	)	)	PUNCT
ejpam-194	79	1	+	+	CCONJ
ejpam-194	79	2	c2	c2	PROPN
ejpam-194	79	3	tδ2k	tδ2k	NUM
ejpam-194	79	4	«	«	PUNCT
ejpam-194	79	5	�	�	PROPN
ejpam-194	79	6	du	du	PROPN
ejpam-194	79	7	dr	dr	PROPN
ejpam-194	79	8	+	+	PROPN
ejpam-194	79	9	2u	2u	PROPN
ejpam-194	79	10	r	r	PROPN
ejpam-194	79	11	�	�	PROPN
ejpam-194	79	12	(	(	PUNCT
ejpam-194	79	13	9	9	NUM
ejpam-194	79	14	)	)	PUNCT
ejpam-194	79	15	and	and	CCONJ
ejpam-194	79	16	d2u	d2u	ADV
ejpam-194	79	17	dr2	dr2	PROPN
ejpam-194	80	1	+	+	CCONJ
ejpam-194	80	2	2	2	NUM
ejpam-194	80	3	r	r	NOUN
ejpam-194	80	4	du	du	PROPN
ejpam-194	80	5	dr	dr	PROPN
ejpam-194	80	6	−	−	PROPN
ejpam-194	80	7	2u	2u	PROPN
ejpam-194	80	8	r2	r2	NOUN
ejpam-194	80	9	=	=	SYM
ejpam-194	80	10	p2u	p2u	PROPN
ejpam-194	81	1	+	+	CCONJ
ejpam-194	81	2	(	(	PUNCT
ejpam-194	81	3	1+α	1+α	NUM
ejpam-194	81	4	′	′	NUM
ejpam-194	81	5	pδ1k	pδ1k	NUM
ejpam-194	81	6	)	)	PUNCT
ejpam-194	81	7	dθ	dθ	PROPN
ejpam-194	81	8	dr	dr	PROPN
ejpam-194	81	9	.	.	PUNCT
ejpam-194	82	1	(	(	PUNCT
ejpam-194	82	2	10	10	NUM
ejpam-194	82	3	)	)	PUNCT
ejpam-194	82	4	differentiating	differentiate	VERB
ejpam-194	82	5	equation	equation	NOUN
ejpam-194	82	6	(	(	PUNCT
ejpam-194	82	7	9	9	NUM
ejpam-194	82	8	)	)	PUNCT
ejpam-194	82	9	with	with	ADP
ejpam-194	82	10	respect	respect	NOUN
ejpam-194	82	11	to	to	ADP
ejpam-194	82	12	r	r	NOUN
ejpam-194	82	13	and	and	CCONJ
ejpam-194	82	14	using	use	VERB
ejpam-194	82	15	equation	equation	NOUN
ejpam-194	82	16	(	(	PUNCT
ejpam-194	82	17	10	10	NUM
ejpam-194	82	18	)	)	PUNCT
ejpam-194	82	19	we	we	PRON
ejpam-194	82	20	get	get	VERB
ejpam-194	82	21	d2	d2	PROPN
ejpam-194	82	22	dr2	dr2	PROPN
ejpam-194	82	23	�	�	PROPN
ejpam-194	82	24	dθ	dθ	PROPN
ejpam-194	82	25	dr	dr	PROPN
ejpam-194	82	26	�	�	PROPN
ejpam-194	82	27	+	+	CCONJ
ejpam-194	82	28	2	2	NUM
ejpam-194	82	29	r	r	NOUN
ejpam-194	82	30	d	d	PROPN
ejpam-194	82	31	dr	dr	PROPN
ejpam-194	82	32	�	�	PROPN
ejpam-194	82	33	dθ	dθ	PROPN
ejpam-194	82	34	dr	dr	PROPN
ejpam-194	82	35	�	�	PROPN
ejpam-194	82	36	−	−	PROPN
ejpam-194	82	37	2	2	NUM
ejpam-194	82	38	r2	r2	PROPN
ejpam-194	82	39	�	�	PROPN
ejpam-194	83	1	dθ	dθ	PROPN
ejpam-194	83	2	dr	dr	PROPN
ejpam-194	83	3	�	�	PROPN
ejpam-194	83	4	=	=	PUNCT
ejpam-194	83	5	εp3	εp3	PROPN
ejpam-194	83	6	¨	¨	NOUN
ejpam-194	83	7	ζδ1k	ζδ1k	PROPN
ejpam-194	83	8	+	+	CCONJ
ejpam-194	83	9	pδ2k	pδ2k	NUM
ejpam-194	83	10	c2	c2	NOUN
ejpam-194	83	11	k(δ1k	k(δ1k	VERB
ejpam-194	83	12	+	+	X
ejpam-194	83	13	pδ2k	pδ2k	NUM
ejpam-194	83	14	)	)	PUNCT
ejpam-194	83	15	+	+	CCONJ
ejpam-194	83	16	c2	c2	PROPN
ejpam-194	83	17	tδ2k	tδ2k	NUM
ejpam-194	83	18	«	«	PUNCT
ejpam-194	83	19	u+	u+	NOUN
ejpam-194	83	20	p	p	PROPN
ejpam-194	83	21			PROPN
ejpam-194	83	22			ADJ
ejpam-194	83	23	{	{	PUNCT
ejpam-194	83	24	(	(	PUNCT
ejpam-194	83	25	1+α∗′	1+α∗′	NUM
ejpam-194	83	26	p	p	NOUN
ejpam-194	83	27	)	)	PUNCT
ejpam-194	83	28	+	+	CCONJ
ejpam-194	83	29	εζ(1+α′p}δ1k	εζ(1+α′p}δ1k	VERB
ejpam-194	83	30	+	+	CCONJ
ejpam-194	83	31	(	(	PUNCT
ejpam-194	83	32	1	1	NUM
ejpam-194	83	33	+	+	NUM
ejpam-194	83	34	ε)pδ2k	ε)pδ2k	PROPN
ejpam-194	83	35	c2	c2	PROPN
ejpam-194	83	36	k(δ1k	k(δ1k	VERB
ejpam-194	83	37	+	+	X
ejpam-194	83	38	pδ2k	pδ2k	NUM
ejpam-194	83	39	)	)	PUNCT
ejpam-194	84	1	+	+	CCONJ
ejpam-194	84	2	c2	c2	PROPN
ejpam-194	84	3	tδ2k	tδ2k	NUM
ejpam-194	84	4			PROPN
ejpam-194	84	5			NUM
ejpam-194	84	6	dθ	dθ	PROPN
ejpam-194	84	7	dr	dr	PROPN
ejpam-194	84	8	.	.	PUNCT
ejpam-194	85	1	(	(	PUNCT
ejpam-194	85	2	11	11	NUM
ejpam-194	85	3	)	)	PUNCT
ejpam-194	85	4	equations	equation	NOUN
ejpam-194	85	5	(	(	PUNCT
ejpam-194	85	6	10	10	NUM
ejpam-194	85	7	)	)	PUNCT
ejpam-194	85	8	and	and	CCONJ
ejpam-194	85	9	(	(	PUNCT
ejpam-194	85	10	11	11	NUM
ejpam-194	85	11	)	)	PUNCT
ejpam-194	85	12	can	can	AUX
ejpam-194	85	13	be	be	AUX
ejpam-194	85	14	written	write	VERB
ejpam-194	85	15	in	in	ADP
ejpam-194	85	16	the	the	DET
ejpam-194	85	17	form	form	NOUN
ejpam-194	85	18	l(u	l(u	PROPN
ejpam-194	85	19	)	)	PUNCT
ejpam-194	85	20	=	=	PUNCT
ejpam-194	86	1	p2u	p2u	NOUN
ejpam-194	87	1	+	+	CCONJ
ejpam-194	87	2	(	(	PUNCT
ejpam-194	87	3	1+α	1+α	NUM
ejpam-194	87	4	′	′	NUM
ejpam-194	87	5	pδ1k	pδ1k	NUM
ejpam-194	87	6	)	)	PUNCT
ejpam-194	87	7	dθ	dθ	PROPN
ejpam-194	87	8	dr	dr	PROPN
ejpam-194	87	9	(	(	PUNCT
ejpam-194	87	10	12	12	NUM
ejpam-194	87	11	)	)	PUNCT
ejpam-194	87	12	and	and	CCONJ
ejpam-194	87	13	l	l	PROPN
ejpam-194	87	14	�	�	PROPN
ejpam-194	87	15	dθ	dθ	PROPN
ejpam-194	87	16	dr	dr	PROPN
ejpam-194	87	17	�	�	PROPN
ejpam-194	87	18	=	=	PUNCT
ejpam-194	87	19	εp3	εp3	PROPN
ejpam-194	87	20	¨	¨	NOUN
ejpam-194	87	21	ζδ1k	ζδ1k	PROPN
ejpam-194	87	22	+	+	CCONJ
ejpam-194	87	23	pδ2k	pδ2k	NUM
ejpam-194	87	24	c2	c2	NOUN
ejpam-194	87	25	k(δ1k	k(δ1k	VERB
ejpam-194	87	26	+	+	X
ejpam-194	87	27	pδ2k	pδ2k	NUM
ejpam-194	87	28	)	)	PUNCT
ejpam-194	87	29	+	+	CCONJ
ejpam-194	87	30	c2	c2	PROPN
ejpam-194	87	31	tδ2k	tδ2k	NUM
ejpam-194	87	32	«	«	PUNCT
ejpam-194	87	33	u+	u+	NOUN
ejpam-194	87	34	p	p	PROPN
ejpam-194	87	35			PROPN
ejpam-194	87	36			ADJ
ejpam-194	87	37	{	{	PUNCT
ejpam-194	87	38	(	(	PUNCT
ejpam-194	87	39	1+α∗′	1+α∗′	NUM
ejpam-194	87	40	p	p	NOUN
ejpam-194	87	41	)	)	PUNCT
ejpam-194	87	42	+	+	CCONJ
ejpam-194	87	43	εζ(1+α′p}δ1k	εζ(1+α′p}δ1k	VERB
ejpam-194	87	44	+	+	CCONJ
ejpam-194	87	45	(	(	PUNCT
ejpam-194	87	46	1	1	NUM
ejpam-194	87	47	+	+	NUM
ejpam-194	87	48	ε)pδ2k	ε)pδ2k	PROPN
ejpam-194	87	49	c2	c2	PROPN
ejpam-194	87	50	k(δ1k	k(δ1k	VERB
ejpam-194	87	51	+	+	X
ejpam-194	87	52	pδ2k	pδ2k	NUM
ejpam-194	87	53	)	)	PUNCT
ejpam-194	87	54	+	+	CCONJ
ejpam-194	87	55	c2	c2	PROPN
ejpam-194	87	56	tδ2k	tδ2k	NUM
ejpam-194	87	57			PROPN
ejpam-194	87	58			NUM
ejpam-194	87	59	dθ	dθ	PROPN
ejpam-194	87	60	dr	dr	PROPN
ejpam-194	87	61	,	,	PUNCT
ejpam-194	87	62	(	(	PUNCT
ejpam-194	87	63	13	13	NUM
ejpam-194	87	64	)	)	PUNCT
ejpam-194	87	65	where	where	SCONJ
ejpam-194	87	66	ε	ε	PROPN
ejpam-194	87	67	is	be	AUX
ejpam-194	87	68	the	the	DET
ejpam-194	87	69	thermo	thermo	NOUN
ejpam-194	87	70	-	-	PUNCT
ejpam-194	87	71	elastic	elastic	ADJ
ejpam-194	87	72	coupling	coupling	NOUN
ejpam-194	87	73	constant	constant	ADJ
ejpam-194	87	74	and	and	CCONJ
ejpam-194	87	75	l	l	PROPN
ejpam-194	87	76	≡	≡	PROPN
ejpam-194	87	77	d2	d2	PROPN
ejpam-194	87	78	dr2	dr2	PROPN
ejpam-194	87	79	+	+	CCONJ
ejpam-194	87	80	2	2	NUM
ejpam-194	87	81	r	r	NOUN
ejpam-194	87	82	d	d	PROPN
ejpam-194	87	83	dr	dr	PROPN
ejpam-194	87	84	−	−	PROPN
ejpam-194	87	85	2	2	NUM
ejpam-194	87	86	r2	r2	NOUN
ejpam-194	87	87	.	.	PUNCT
ejpam-194	88	1	(	(	PUNCT
ejpam-194	88	2	14	14	NUM
ejpam-194	88	3	)	)	PUNCT
ejpam-194	88	4	from	from	ADP
ejpam-194	88	5	equations	equation	NOUN
ejpam-194	88	6	(	(	PUNCT
ejpam-194	88	7	12	12	NUM
ejpam-194	88	8	)	)	PUNCT
ejpam-194	88	9	and	and	CCONJ
ejpam-194	88	10	(	(	PUNCT
ejpam-194	88	11	13	13	X
ejpam-194	88	12	)	)	PUNCT
ejpam-194	88	13	we	we	PRON
ejpam-194	88	14	have	have	VERB
ejpam-194	88	15	the	the	DET
ejpam-194	88	16	vector	vector	ADJ
ejpam-194	88	17	-	-	PUNCT
ejpam-194	88	18	matrix	matrix	NOUN
ejpam-194	88	19	differential	differential	NOUN
ejpam-194	88	20	equation	equation	NOUN
ejpam-194	88	21	as	as	SCONJ
ejpam-194	88	22	follows	follow	VERB
ejpam-194	88	23	lev	lev	NOUN
ejpam-194	88	24	=	=	SYM
ejpam-194	88	25	eaev	eaev	PROPN
ejpam-194	88	26	,	,	PUNCT
ejpam-194	88	27	(	(	PUNCT
ejpam-194	88	28	15	15	NUM
ejpam-194	88	29	)	)	PUNCT
ejpam-194	88	30	where	where	SCONJ
ejpam-194	88	31	ev	ev	ADP
ejpam-194	88	32	=	=	SYM
ejpam-194	88	33	�	�	PROPN
ejpam-194	88	34	u	u	PROPN
ejpam-194	88	35	,	,	PUNCT
ejpam-194	88	36	dθ	dθ	PROPN
ejpam-194	88	37	dr	dr	PROPN
ejpam-194	88	38	�	�	PROPN
ejpam-194	88	39	t	t	PROPN
ejpam-194	88	40	,	,	PUNCT
ejpam-194	88	41	ea=	ea=	PROPN
ejpam-194	88	42			PROPN
ejpam-194	88	43			ADJ
ejpam-194	88	44	c11	c11	NOUN
ejpam-194	88	45	c12	c12	PROPN
ejpam-194	88	46	c21	c21	PROPN
ejpam-194	88	47	c22	c22	PROPN
ejpam-194	88	48			PROPN
ejpam-194	88	49			PROPN
ejpam-194	88	50	(	(	PUNCT
ejpam-194	88	51	16	16	NUM
ejpam-194	88	52	)	)	PUNCT
ejpam-194	88	53	and	and	CCONJ
ejpam-194	88	54	c11	c11	NOUN
ejpam-194	88	55	=	=	SYM
ejpam-194	88	56	p2	p2	NOUN
ejpam-194	88	57	,	,	PUNCT
ejpam-194	88	58	c12	c12	NOUN
ejpam-194	88	59	=	=	SYM
ejpam-194	88	60	1+α	1+α	NUM
ejpam-194	88	61	′	′	NUM
ejpam-194	88	62	pδ1k	pδ1k	PROPN
ejpam-194	88	63	,	,	PUNCT
ejpam-194	88	64	c21	c21	NOUN
ejpam-194	88	65	=	=	PROPN
ejpam-194	88	66	εp	εp	PROPN
ejpam-194	88	67	3	3	NUM
ejpam-194	88	68	¨	¨	NOUN
ejpam-194	88	69	ζδ1k	ζδ1k	VERB
ejpam-194	88	70	+	+	CCONJ
ejpam-194	88	71	pδ2k	pδ2k	NUM
ejpam-194	88	72	c2	c2	NOUN
ejpam-194	88	73	k(δ1k	k(δ1k	VERB
ejpam-194	88	74	+	+	X
ejpam-194	88	75	pδ2k	pδ2k	NUM
ejpam-194	88	76	)	)	PUNCT
ejpam-194	88	77	+	+	CCONJ
ejpam-194	89	1	c2	c2	PROPN
ejpam-194	89	2	tδ2k	tδ2k	PROPN
ejpam-194	89	3	«	«	PUNCT
ejpam-194	89	4	,	,	PUNCT
ejpam-194	89	5	c22	c22	NOUN
ejpam-194	89	6	=	=	PROPN
ejpam-194	89	7	p	p	PROPN
ejpam-194	89	8			PROPN
ejpam-194	89	9			VERB
ejpam-194	89	10	{	{	PUNCT
ejpam-194	89	11	(	(	PUNCT
ejpam-194	89	12	1+α∗′	1+α∗′	NUM
ejpam-194	89	13	p	p	NOUN
ejpam-194	89	14	)	)	PUNCT
ejpam-194	89	15	+	+	CCONJ
ejpam-194	89	16	εζ(1+α′p}δ1k	εζ(1+α′p}δ1k	VERB
ejpam-194	89	17	+	+	CCONJ
ejpam-194	89	18	(	(	PUNCT
ejpam-194	89	19	1	1	NUM
ejpam-194	89	20	+	+	NUM
ejpam-194	89	21	ε)pδ2k	ε)pδ2k	PROPN
ejpam-194	89	22	c2	c2	PROPN
ejpam-194	89	23	k(δ1k	k(δ1k	VERB
ejpam-194	89	24	+	+	X
ejpam-194	89	25	pδ2k	pδ2k	NUM
ejpam-194	89	26	)	)	PUNCT
ejpam-194	89	27	+	+	CCONJ
ejpam-194	89	28	c2	c2	PROPN
ejpam-194	89	29	tδ2k	tδ2k	NUM
ejpam-194	89	30			PROPN
ejpam-194	89	31			PUNCT
ejpam-194	89	32	.	.	PUNCT
ejpam-194	90	1	a.	a.	PROPN
ejpam-194	90	2	kar	kar	PROPN
ejpam-194	90	3	and	and	CCONJ
ejpam-194	90	4	m.	m.	PROPN
ejpam-194	90	5	kanoria	kanoria	PROPN
ejpam-194	90	6	/	/	SYM
ejpam-194	90	7	eur	eur	PROPN
ejpam-194	90	8	.	.	PUNCT
ejpam-194	91	1	j.	j.	PROPN
ejpam-194	91	2	pure	pure	PROPN
ejpam-194	91	3	appl	appl	PROPN
ejpam-194	91	4	.	.	PROPN
ejpam-194	91	5	math	math	PROPN
ejpam-194	91	6	,	,	PUNCT
ejpam-194	91	7	2	2	NUM
ejpam-194	91	8	(	(	PUNCT
ejpam-194	91	9	2009	2009	NUM
ejpam-194	91	10	)	)	PUNCT
ejpam-194	91	11	,	,	PUNCT
ejpam-194	91	12	(	(	PUNCT
ejpam-194	91	13	125	125	NUM
ejpam-194	91	14	-	-	SYM
ejpam-194	91	15	146	146	NUM
ejpam-194	91	16	)	)	PUNCT
ejpam-194	91	17	132	132	NUM
ejpam-194	91	18	4	4	NUM
ejpam-194	91	19	.	.	PUNCT
ejpam-194	91	20	solution	solution	NOUN
ejpam-194	91	21	of	of	ADP
ejpam-194	91	22	the	the	DET
ejpam-194	91	23	vector	vector	NOUN
ejpam-194	91	24	-	-	PUNCT
ejpam-194	91	25	matrix	matrix	NOUN
ejpam-194	91	26	differential	differential	NOUN
ejpam-194	91	27	equation	equation	NOUN
ejpam-194	91	28	let	let	VERB
ejpam-194	91	29	ev	ev	X
ejpam-194	91	30	=	=	X
ejpam-194	91	31	ex	ex	X
ejpam-194	91	32	(	(	PUNCT
ejpam-194	91	33	m)ω(r	m)ω(r	NOUN
ejpam-194	91	34	,	,	PUNCT
ejpam-194	91	35	m	m	PROPN
ejpam-194	91	36	)	)	PUNCT
ejpam-194	91	37	,	,	PUNCT
ejpam-194	91	38	(	(	PUNCT
ejpam-194	91	39	17	17	NUM
ejpam-194	91	40	)	)	PUNCT
ejpam-194	91	41	where	where	SCONJ
ejpam-194	91	42	m	m	NOUN
ejpam-194	91	43	is	be	AUX
ejpam-194	91	44	a	a	DET
ejpam-194	91	45	scalar	scalar	ADJ
ejpam-194	91	46	,	,	PUNCT
ejpam-194	91	47	ex	ex	X
ejpam-194	91	48	is	be	AUX
ejpam-194	91	49	a	a	DET
ejpam-194	91	50	vector	vector	NOUN
ejpam-194	91	51	independent	independent	NOUN
ejpam-194	91	52	of	of	ADP
ejpam-194	91	53	r	r	NOUN
ejpam-194	91	54	and	and	CCONJ
ejpam-194	91	55	ω(r	ω(r	PROPN
ejpam-194	91	56	,	,	PUNCT
ejpam-194	91	57	m	m	PROPN
ejpam-194	91	58	)	)	PUNCT
ejpam-194	91	59	is	be	AUX
ejpam-194	91	60	a	a	DET
ejpam-194	91	61	non	non	ADJ
ejpam-194	91	62	-	-	ADJ
ejpam-194	91	63	trivial	trivial	ADJ
ejpam-194	91	64	solution	solution	NOUN
ejpam-194	91	65	of	of	ADP
ejpam-194	91	66	the	the	DET
ejpam-194	91	67	scalar	scalar	ADJ
ejpam-194	91	68	differential	differential	ADJ
ejpam-194	91	69	equation	equation	NOUN
ejpam-194	91	70	lω	lω	VERB
ejpam-194	91	71	=	=	SYM
ejpam-194	91	72	m2ω	m2ω	PROPN
ejpam-194	91	73	.	.	PUNCT
ejpam-194	92	1	(	(	PUNCT
ejpam-194	92	2	18	18	NUM
ejpam-194	92	3	)	)	PUNCT
ejpam-194	92	4	let	let	VERB
ejpam-194	92	5	ω=	ω=	X
ejpam-194	92	6	r−1/2ω1	r−1/2ω1	VERB
ejpam-194	92	7	.	.	PUNCT
ejpam-194	93	1	therefore	therefore	ADV
ejpam-194	93	2	,	,	PUNCT
ejpam-194	93	3	from	from	ADP
ejpam-194	93	4	equation	equation	NOUN
ejpam-194	93	5	(	(	PUNCT
ejpam-194	93	6	18	18	NUM
ejpam-194	93	7	)	)	PUNCT
ejpam-194	93	8	we	we	PRON
ejpam-194	93	9	have	have	VERB
ejpam-194	93	10	d2ω1	d2ω1	PROPN
ejpam-194	93	11	dr2	dr2	PROPN
ejpam-194	94	1	+	+	CCONJ
ejpam-194	94	2	1	1	NUM
ejpam-194	94	3	r	r	NOUN
ejpam-194	94	4	dω1	dω1	NOUN
ejpam-194	94	5	dr	dr	PROPN
ejpam-194	94	6	−	−	PROPN
ejpam-194	94	7	�	�	PROPN
ejpam-194	94	8	9	9	NUM
ejpam-194	94	9	4r2	4r2	NUM
ejpam-194	95	1	+	+	ADJ
ejpam-194	95	2	m2	m2	PROPN
ejpam-194	95	3	�	�	PROPN
ejpam-194	95	4	ω1	ω1	PROPN
ejpam-194	95	5	=	=	PROPN
ejpam-194	95	6	0	0	PROPN
ejpam-194	95	7	.	.	PUNCT
ejpam-194	95	8	(	(	PUNCT
ejpam-194	95	9	19	19	NUM
ejpam-194	95	10	)	)	PUNCT
ejpam-194	95	11	therefore	therefore	ADV
ejpam-194	95	12	,	,	PUNCT
ejpam-194	95	13	the	the	DET
ejpam-194	95	14	solution	solution	NOUN
ejpam-194	95	15	of	of	ADP
ejpam-194	95	16	the	the	DET
ejpam-194	95	17	equation	equation	NOUN
ejpam-194	95	18	(	(	PUNCT
ejpam-194	95	19	18	18	NUM
ejpam-194	95	20	)	)	PUNCT
ejpam-194	95	21	is	be	AUX
ejpam-194	95	22	ω=	ω=	PRON
ejpam-194	96	1	[	[	X
ejpam-194	96	2	a1	a1	NOUN
ejpam-194	96	3	i3/2(mr	i3/2(mr	NOUN
ejpam-194	96	4	)	)	PUNCT
ejpam-194	97	1	+	+	NOUN
ejpam-194	97	2	a2k3/2(mr)]/	a2k3/2(mr)]/	NOUN
ejpam-194	97	3	p	p	NOUN
ejpam-194	97	4	r	r	NOUN
ejpam-194	97	5	(	(	PUNCT
ejpam-194	97	6	20	20	NUM
ejpam-194	97	7	)	)	PUNCT
ejpam-194	97	8	substituting	substitute	VERB
ejpam-194	97	9	equations	equation	NOUN
ejpam-194	97	10	(	(	PUNCT
ejpam-194	97	11	17	17	NUM
ejpam-194	97	12	)	)	PUNCT
ejpam-194	97	13	and	and	CCONJ
ejpam-194	97	14	(	(	PUNCT
ejpam-194	97	15	18	18	NUM
ejpam-194	97	16	)	)	PUNCT
ejpam-194	97	17	into	into	ADP
ejpam-194	97	18	equation	equation	NOUN
ejpam-194	97	19	(	(	PUNCT
ejpam-194	97	20	15	15	NUM
ejpam-194	97	21	)	)	PUNCT
ejpam-194	97	22	we	we	PRON
ejpam-194	97	23	get	get	VERB
ejpam-194	97	24	eaex	eaex	PROPN
ejpam-194	97	25	=	=	PROPN
ejpam-194	97	26	m2	m2	PROPN
ejpam-194	97	27	ex	ex	PROPN
ejpam-194	97	28	,	,	PUNCT
ejpam-194	97	29	(	(	PUNCT
ejpam-194	97	30	21	21	NUM
ejpam-194	97	31	)	)	PUNCT
ejpam-194	97	32	where	where	SCONJ
ejpam-194	97	33	ex	ex	X
ejpam-194	97	34	(	(	PUNCT
ejpam-194	97	35	m	m	NOUN
ejpam-194	97	36	)	)	PUNCT
ejpam-194	97	37	is	be	AUX
ejpam-194	97	38	the	the	DET
ejpam-194	97	39	eigenvector	eigenvector	NOUN
ejpam-194	97	40	corresponding	correspond	VERB
ejpam-194	97	41	to	to	ADP
ejpam-194	97	42	the	the	DET
ejpam-194	97	43	eigenvalue	eigenvalue	PROPN
ejpam-194	97	44	m2	m2	PROPN
ejpam-194	97	45	.	.	PUNCT
ejpam-194	98	1	the	the	DET
ejpam-194	98	2	characteristic	characteristic	ADJ
ejpam-194	98	3	equation	equation	NOUN
ejpam-194	98	4	corresponding	correspond	VERB
ejpam-194	98	5	to	to	ADP
ejpam-194	98	6	ea	ea	PROPN
ejpam-194	98	7	can	can	AUX
ejpam-194	98	8	be	be	AUX
ejpam-194	98	9	written	write	VERB
ejpam-194	98	10	as	as	ADP
ejpam-194	98	11	m4	m4	PROPN
ejpam-194	98	12	−	−	PROPN
ejpam-194	98	13	(	(	PUNCT
ejpam-194	98	14	c11	c11	NOUN
ejpam-194	98	15	+	+	CCONJ
ejpam-194	98	16	c22)m	c22)m	PROPN
ejpam-194	98	17	2	2	NUM
ejpam-194	98	18	+	+	CCONJ
ejpam-194	98	19	(	(	PUNCT
ejpam-194	98	20	c11c22	c11c22	NOUN
ejpam-194	98	21	−	−	NOUN
ejpam-194	98	22	c12c21	c12c21	NOUN
ejpam-194	98	23	)	)	PUNCT
ejpam-194	98	24	=	=	SYM
ejpam-194	99	1	0	0	X
ejpam-194	99	2	.	.	PUNCT
ejpam-194	100	1	(	(	PUNCT
ejpam-194	100	2	22	22	NUM
ejpam-194	100	3	)	)	PUNCT
ejpam-194	100	4	the	the	DET
ejpam-194	100	5	roots	root	NOUN
ejpam-194	100	6	of	of	ADP
ejpam-194	100	7	the	the	DET
ejpam-194	100	8	characteristic	characteristic	ADJ
ejpam-194	100	9	equation	equation	NOUN
ejpam-194	100	10	(	(	PUNCT
ejpam-194	100	11	22	22	NUM
ejpam-194	100	12	)	)	PUNCT
ejpam-194	100	13	are	be	AUX
ejpam-194	100	14	of	of	ADP
ejpam-194	100	15	the	the	DET
ejpam-194	100	16	form	form	NOUN
ejpam-194	100	17	m2	m2	PROPN
ejpam-194	100	18	=	=	PROPN
ejpam-194	100	19	m2	m2	PROPN
ejpam-194	100	20	1	1	NUM
ejpam-194	100	21	and	and	CCONJ
ejpam-194	100	22	m2	m2	PROPN
ejpam-194	100	23	=	=	PROPN
ejpam-194	100	24	m2	m2	PROPN
ejpam-194	100	25	2	2	NUM
ejpam-194	100	26	,	,	PUNCT
ejpam-194	100	27	where	where	SCONJ
ejpam-194	100	28	m2	m2	PROPN
ejpam-194	100	29	1	1	NUM
ejpam-194	100	30	+	+	PROPN
ejpam-194	100	31	m2	m2	PROPN
ejpam-194	100	32	2	2	NUM
ejpam-194	100	33	=	=	NOUN
ejpam-194	100	34	c11	c11	NOUN
ejpam-194	100	35	+	+	CCONJ
ejpam-194	100	36	c22	c22	NOUN
ejpam-194	100	37	,	,	PUNCT
ejpam-194	100	38	m2	m2	PROPN
ejpam-194	100	39	1m2	1m2	NUM
ejpam-194	100	40	2	2	NUM
ejpam-194	100	41	=	=	NOUN
ejpam-194	100	42	c11c22	c11c22	NOUN
ejpam-194	100	43	−	−	PROPN
ejpam-194	100	44	c12c21	c12c21	NOUN
ejpam-194	100	45	.	.	PUNCT
ejpam-194	101	1	(	(	PUNCT
ejpam-194	101	2	23	23	NUM
ejpam-194	101	3	)	)	PUNCT
ejpam-194	101	4	the	the	DET
ejpam-194	101	5	eigenvectors	eigenvector	NOUN
ejpam-194	101	6	x	x	SYM
ejpam-194	101	7	(	(	PUNCT
ejpam-194	101	8	m	m	PROPN
ejpam-194	101	9	j	j	NOUN
ejpam-194	101	10	)	)	PUNCT
ejpam-194	101	11	,	,	PUNCT
ejpam-194	101	12	j	j	PROPN
ejpam-194	102	1	=	=	NOUN
ejpam-194	102	2	1,2	1,2	NUM
ejpam-194	102	3	corresponding	correspond	VERB
ejpam-194	102	4	to	to	AUX
ejpam-194	102	5	eigenvalues	eigenvalue	VERB
ejpam-194	102	6	m2	m2	PROPN
ejpam-194	102	7	j	j	PROPN
ejpam-194	102	8	,	,	PUNCT
ejpam-194	102	9	j	j	PROPN
ejpam-194	103	1	=	=	NOUN
ejpam-194	103	2	1,2	1,2	NUM
ejpam-194	103	3	can	can	AUX
ejpam-194	103	4	be	be	AUX
ejpam-194	103	5	calculated	calculate	VERB
ejpam-194	103	6	as	as	ADP
ejpam-194	103	7	ex	ex	ADJ
ejpam-194	103	8	(	(	PUNCT
ejpam-194	103	9	m	m	PROPN
ejpam-194	103	10	j	j	NOUN
ejpam-194	103	11	)	)	PUNCT
ejpam-194	103	12	=	=	NOUN
ejpam-194	103	13			NOUN
ejpam-194	103	14			VERB
ejpam-194	103	15	x1(m	x1(m	PROPN
ejpam-194	103	16	j	j	PROPN
ejpam-194	103	17	)	)	PUNCT
ejpam-194	103	18	x2(m	x2(m	PROPN
ejpam-194	104	1	j	j	PROPN
ejpam-194	104	2	)	)	PUNCT
ejpam-194	104	3			PROPN
ejpam-194	104	4			PUNCT
ejpam-194	105	1	=	=	SYM
ejpam-194	105	2			PROPN
ejpam-194	105	3			ADJ
ejpam-194	105	4	c12	c12	NOUN
ejpam-194	105	5	−(c11	−(c11	PROPN
ejpam-194	105	6	−m2	−m2	PROPN
ejpam-194	105	7	j	j	NOUN
ejpam-194	105	8	)	)	PUNCT
ejpam-194	105	9			PROPN
ejpam-194	105	10			X
ejpam-194	105	11	,	,	PUNCT
ejpam-194	105	12	j	j	PROPN
ejpam-194	105	13	=	=	SYM
ejpam-194	105	14	1,2	1,2	NUM
ejpam-194	105	15	.	.	PUNCT
ejpam-194	106	1	(	(	PUNCT
ejpam-194	106	2	24	24	NUM
ejpam-194	106	3	)	)	PUNCT
ejpam-194	106	4	therefore	therefore	ADV
ejpam-194	106	5	,	,	PUNCT
ejpam-194	106	6	the	the	DET
ejpam-194	106	7	equation	equation	NOUN
ejpam-194	106	8	(	(	PUNCT
ejpam-194	106	9	17	17	NUM
ejpam-194	106	10	)	)	PUNCT
ejpam-194	106	11	can	can	AUX
ejpam-194	106	12	be	be	AUX
ejpam-194	106	13	written	write	VERB
ejpam-194	106	14	as	as	ADP
ejpam-194	106	15	ev	ev	PROPN
ejpam-194	106	16	=	=	SYM
ejpam-194	106	17	ex	ex	X
ejpam-194	106	18	(	(	PUNCT
ejpam-194	106	19	m	m	NOUN
ejpam-194	106	20	j)[a1i3/2(m1r	j)[a1i3/2(m1r	PROPN
ejpam-194	106	21	)	)	PUNCT
ejpam-194	106	22	+	+	CCONJ
ejpam-194	107	1	b1k3/2(m1r)]/	b1k3/2(m1r)]/	PROPN
ejpam-194	107	2	p	p	PROPN
ejpam-194	107	3	r+	r+	PUNCT
ejpam-194	107	4	a.	a.	NOUN
ejpam-194	107	5	kar	kar	PROPN
ejpam-194	107	6	and	and	CCONJ
ejpam-194	107	7	m.	m.	PROPN
ejpam-194	107	8	kanoria	kanoria	PROPN
ejpam-194	107	9	/	/	SYM
ejpam-194	107	10	eur	eur	PROPN
ejpam-194	107	11	.	.	PUNCT
ejpam-194	108	1	j.	j.	PROPN
ejpam-194	108	2	pure	pure	PROPN
ejpam-194	108	3	appl	appl	PROPN
ejpam-194	108	4	.	.	PROPN
ejpam-194	108	5	math	math	PROPN
ejpam-194	108	6	,	,	PUNCT
ejpam-194	108	7	2	2	NUM
ejpam-194	108	8	(	(	PUNCT
ejpam-194	108	9	2009	2009	NUM
ejpam-194	108	10	)	)	PUNCT
ejpam-194	108	11	,	,	PUNCT
ejpam-194	108	12	(	(	PUNCT
ejpam-194	108	13	125	125	NUM
ejpam-194	108	14	-	-	SYM
ejpam-194	108	15	146	146	NUM
ejpam-194	108	16	)	)	PUNCT
ejpam-194	108	17	133	133	NUM
ejpam-194	108	18	ex	ex	X
ejpam-194	108	19	(	(	PUNCT
ejpam-194	108	20	m	m	PROPN
ejpam-194	108	21	j)[a1i3/2(m2r)+	j)[a1i3/2(m2r)+	X
ejpam-194	109	1	b1k3/2(m2r)]/	b1k3/2(m2r)]/	PROPN
ejpam-194	109	2	p	p	PROPN
ejpam-194	109	3	r	r	PROPN
ejpam-194	109	4	,	,	PUNCT
ejpam-194	109	5	æ=	æ=	NOUN
ejpam-194	109	6	1,2	1,2	NUM
ejpam-194	109	7	.	.	PUNCT
ejpam-194	110	1	(	(	PUNCT
ejpam-194	110	2	25	25	NUM
ejpam-194	110	3	)	)	PUNCT
ejpam-194	110	4	therefore	therefore	ADV
ejpam-194	110	5	,	,	PUNCT
ejpam-194	110	6	from	from	ADP
ejpam-194	110	7	equations	equation	NOUN
ejpam-194	110	8	in	in	ADP
ejpam-194	110	9	(	(	PUNCT
ejpam-194	110	10	15	15	X
ejpam-194	110	11	)	)	PUNCT
ejpam-194	110	12	we	we	PRON
ejpam-194	110	13	can	can	AUX
ejpam-194	110	14	write	write	VERB
ejpam-194	110	15	u	u	NOUN
ejpam-194	110	16	=	=	PUNCT
ejpam-194	110	17	∑	∑	PROPN
ejpam-194	110	18	i=1,2	i=1,2	ADJ
ejpam-194	110	19	c12[ai	c12[ai	NOUN
ejpam-194	110	20	i3/2(mir	i3/2(mir	NOUN
ejpam-194	110	21	)	)	PUNCT
ejpam-194	110	22	+	+	CCONJ
ejpam-194	110	23	bik3/2(mir)]/	bik3/2(mir)]/	ADV
ejpam-194	110	24	p	p	X
ejpam-194	110	25	r	r	NOUN
ejpam-194	110	26	(	(	PUNCT
ejpam-194	110	27	26	26	NUM
ejpam-194	110	28	)	)	PUNCT
ejpam-194	110	29	and	and	CCONJ
ejpam-194	110	30	dθ	dθ	PROPN
ejpam-194	110	31	dr	dr	PROPN
ejpam-194	110	32	=	=	PROPN
ejpam-194	110	33	−	−	PROPN
ejpam-194	110	34	∑	∑	INTJ
ejpam-194	110	35	i=1,2	i=1,2	ADJ
ejpam-194	110	36	(	(	PUNCT
ejpam-194	110	37	c11	c11	NOUN
ejpam-194	110	38	−m2	−m2	NOUN
ejpam-194	110	39	i	i	PRON
ejpam-194	110	40	)	)	PUNCT
ejpam-194	111	1	[	[	X
ejpam-194	111	2	ai	ai	VERB
ejpam-194	111	3	i3/2(mir)+	i3/2(mir)+	PROPN
ejpam-194	111	4	bik3/2(mir)]/	bik3/2(mir)]/	ADV
ejpam-194	111	5	p	p	NOUN
ejpam-194	111	6	r	r	NOUN
ejpam-194	111	7	,	,	PUNCT
ejpam-194	111	8	(	(	PUNCT
ejpam-194	111	9	27	27	NUM
ejpam-194	111	10	)	)	PUNCT
ejpam-194	111	11	where	where	SCONJ
ejpam-194	111	12	i3/2(mir	i3/2(mir	X
ejpam-194	111	13	)	)	PUNCT
ejpam-194	111	14	and	and	CCONJ
ejpam-194	111	15	k3/2(mir	k3/2(mir	PROPN
ejpam-194	111	16	)	)	PUNCT
ejpam-194	111	17	are	be	AUX
ejpam-194	111	18	the	the	DET
ejpam-194	111	19	modified	modify	VERB
ejpam-194	111	20	bessel	bessel	NOUN
ejpam-194	111	21	functions	function	NOUN
ejpam-194	111	22	of	of	ADP
ejpam-194	111	23	order	order	NOUN
ejpam-194	111	24	3/2	3/2	NUM
ejpam-194	111	25	of	of	ADP
ejpam-194	111	26	first	first	ADJ
ejpam-194	111	27	and	and	CCONJ
ejpam-194	111	28	second	second	ADJ
ejpam-194	111	29	kind	kind	NOUN
ejpam-194	111	30	respectively	respectively	ADV
ejpam-194	111	31	.	.	PUNCT
ejpam-194	112	1	ai	ai	VERB
ejpam-194	112	2	and	and	CCONJ
ejpam-194	112	3	bi	bi	PROPN
ejpam-194	112	4	’s	’s	NOUN
ejpam-194	112	5	i	i	NOUN
ejpam-194	113	1	=	=	NOUN
ejpam-194	113	2	1,2	1,2	NUM
ejpam-194	113	3	are	be	AUX
ejpam-194	113	4	independent	independent	ADJ
ejpam-194	113	5	of	of	ADP
ejpam-194	113	6	r	r	NOUN
ejpam-194	113	7	but	but	CCONJ
ejpam-194	113	8	depend	depend	VERB
ejpam-194	113	9	on	on	ADP
ejpam-194	113	10	p	p	NOUN
ejpam-194	113	11	and	and	CCONJ
ejpam-194	113	12	are	be	AUX
ejpam-194	113	13	to	to	PART
ejpam-194	113	14	be	be	AUX
ejpam-194	113	15	determined	determine	VERB
ejpam-194	113	16	from	from	ADP
ejpam-194	113	17	the	the	DET
ejpam-194	113	18	boundary	boundary	ADJ
ejpam-194	113	19	conditions	condition	NOUN
ejpam-194	113	20	.	.	PUNCT
ejpam-194	114	1	using	use	VERB
ejpam-194	114	2	the	the	DET
ejpam-194	114	3	recurrence	recurrence	NOUN
ejpam-194	114	4	relations	relation	NOUN
ejpam-194	114	5	of	of	ADP
ejpam-194	114	6	modified	modify	VERB
ejpam-194	114	7	bessel	bessel	NOUN
ejpam-194	114	8	functions	function	NOUN
ejpam-194	114	9	[	[	X
ejpam-194	114	10	23	23	NUM
ejpam-194	114	11	]	]	PUNCT
ejpam-194	114	12	we	we	PRON
ejpam-194	114	13	obtain	obtain	VERB
ejpam-194	114	14	from	from	ADP
ejpam-194	114	15	the	the	DET
ejpam-194	114	16	equation	equation	NOUN
ejpam-194	114	17	(	(	PUNCT
ejpam-194	114	18	27	27	NUM
ejpam-194	114	19	)	)	PUNCT
ejpam-194	114	20	θ	θ	NOUN
ejpam-194	115	1	=	=	PUNCT
ejpam-194	115	2	∑	∑	PUNCT
ejpam-194	115	3	i=1,2	i=1,2	ADJ
ejpam-194	115	4	(	(	PUNCT
ejpam-194	115	5	c11	c11	NOUN
ejpam-194	115	6	−m2	−m2	NOUN
ejpam-194	115	7	i	i	PRON
ejpam-194	115	8	)	)	PUNCT
ejpam-194	115	9	mi	mi	PROPN
ejpam-194	116	1	[	[	X
ejpam-194	116	2	ai	ai	INTJ
ejpam-194	116	3	i1/2(mir	i1/2(mir	PROPN
ejpam-194	116	4	)	)	PUNCT
ejpam-194	117	1	+	+	PUNCT
ejpam-194	117	2	bik1/2(mir)]/	bik1/2(mir)]/	ADV
ejpam-194	117	3	p	p	NOUN
ejpam-194	117	4	r	r	NOUN
ejpam-194	117	5	,	,	PUNCT
ejpam-194	117	6	(	(	PUNCT
ejpam-194	117	7	28	28	NUM
ejpam-194	117	8	)	)	PUNCT
ejpam-194	117	9	since	since	SCONJ
ejpam-194	117	10	1	1	NUM
ejpam-194	117	11	r1/2	r1/2	NUM
ejpam-194	117	12	p3/2(mr	p3/2(mr	NOUN
ejpam-194	117	13	)	)	PUNCT
ejpam-194	117	14	=	=	SYM
ejpam-194	118	1	−	−	PROPN
ejpam-194	118	2	d	d	X
ejpam-194	118	3	dr	dr	PROPN
ejpam-194	118	4	�	�	PROPN
ejpam-194	118	5	p1/2(mr	p1/2(mr	PROPN
ejpam-194	118	6	)	)	PUNCT
ejpam-194	118	7	mr1/2	mr1/2	PROPN
ejpam-194	118	8	�	�	PROPN
ejpam-194	118	9	,	,	PUNCT
ejpam-194	118	10	(	(	PUNCT
ejpam-194	118	11	29	29	NUM
ejpam-194	118	12	)	)	PUNCT
ejpam-194	118	13	where	where	SCONJ
ejpam-194	118	14	p	p	NOUN
ejpam-194	119	1	=	=	NOUN
ejpam-194	119	2	i	i	INTJ
ejpam-194	119	3	,	,	PUNCT
ejpam-194	119	4	k	k	PROPN
ejpam-194	119	5	.	.	PUNCT
ejpam-194	120	1	taking	take	VERB
ejpam-194	120	2	the	the	DET
ejpam-194	120	3	laplace	laplace	NOUN
ejpam-194	120	4	transform	transform	NOUN
ejpam-194	120	5	of	of	ADP
ejpam-194	120	6	the	the	DET
ejpam-194	120	7	equations	equation	NOUN
ejpam-194	120	8	(	(	PUNCT
ejpam-194	120	9	5	5	NUM
ejpam-194	120	10	)	)	PUNCT
ejpam-194	120	11	and	and	CCONJ
ejpam-194	120	12	(	(	PUNCT
ejpam-194	120	13	6	6	NUM
ejpam-194	120	14	)	)	PUNCT
ejpam-194	120	15	and	and	CCONJ
ejpam-194	120	16	using	use	VERB
ejpam-194	120	17	equations	equation	NOUN
ejpam-194	120	18	(	(	PUNCT
ejpam-194	120	19	26	26	NUM
ejpam-194	120	20	)	)	PUNCT
ejpam-194	120	21	and	and	CCONJ
ejpam-194	120	22	(	(	PUNCT
ejpam-194	120	23	28	28	NUM
ejpam-194	120	24	)	)	PUNCT
ejpam-194	120	25	we	we	PRON
ejpam-194	120	26	get	get	VERB
ejpam-194	120	27	σr	σr	NOUN
ejpam-194	120	28	=	=	PUNCT
ejpam-194	120	29	a1	a1	NOUN
ejpam-194	120	30	∑	∑	PROPN
ejpam-194	120	31	i=1,2	i=1,2	ADJ
ejpam-194	120	32	ai	ai	PRON
ejpam-194	120	33	�	�	PROPN
ejpam-194	121	1	−	−	PROPN
ejpam-194	121	2	4µ	4µ	NOUN
ejpam-194	121	3	λ+	λ+	PUNCT
ejpam-194	121	4	2µ	2µ	NUM
ejpam-194	121	5	i3/2(mir)−	i3/2(mir)−	PROPN
ejpam-194	121	6	p2	p2	PROPN
ejpam-194	121	7	mi	mi	PROPN
ejpam-194	121	8	ri1/2(mir	ri1/2(mir	PROPN
ejpam-194	121	9	)	)	PUNCT
ejpam-194	121	10	�	�	PROPN
ejpam-194	121	11	/r3/2	/r3/2	PUNCT
ejpam-194	121	12	+	+	CCONJ
ejpam-194	121	13	a1	a1	NOUN
ejpam-194	121	14	∑	∑	PROPN
ejpam-194	121	15	i=1,2	i=1,2	ADJ
ejpam-194	121	16	bi	bi	ADJ
ejpam-194	121	17	�	�	PROPN
ejpam-194	121	18	−	−	PROPN
ejpam-194	121	19	4µ	4µ	NOUN
ejpam-194	121	20	λ+	λ+	PUNCT
ejpam-194	121	21	2µ	2µ	NUM
ejpam-194	121	22	k3/2(mir)−	k3/2(mir)−	PROPN
ejpam-194	121	23	p2	p2	PROPN
ejpam-194	121	24	mi	mi	PROPN
ejpam-194	121	25	rk1/2(mir	rk1/2(mir	PROPN
ejpam-194	121	26	)	)	PUNCT
ejpam-194	121	27	�	�	PROPN
ejpam-194	121	28	/r3/2	/r3/2	PROPN
ejpam-194	121	29	(	(	PUNCT
ejpam-194	121	30	30	30	NUM
ejpam-194	121	31	)	)	PUNCT
ejpam-194	121	32	and	and	CCONJ
ejpam-194	121	33	σθ	σθ	NOUN
ejpam-194	121	34	=	=	NOUN
ejpam-194	121	35	a1	a1	PROPN
ejpam-194	121	36	∑	∑	PROPN
ejpam-194	121	37	i=1,2	i=1,2	ADJ
ejpam-194	121	38	ai	ai	VERB
ejpam-194	121	39	�	�	PROPN
ejpam-194	121	40	2µ	2µ	NUM
ejpam-194	121	41	λ+	λ+	NUM
ejpam-194	121	42	2µ	2µ	NUM
ejpam-194	121	43	i3/2(mir)−	i3/2(mir)−	PROPN
ejpam-194	121	44	λm2	λm2	NOUN
ejpam-194	122	1	i	i	PRON
ejpam-194	122	2	+	+	X
ejpam-194	122	3	(	(	PUNCT
ejpam-194	122	4	λ+	λ+	NUM
ejpam-194	122	5	2µ)(p2−m2	2µ)(p2−m2	NUM
ejpam-194	122	6	i	i	NOUN
ejpam-194	122	7	)	)	PUNCT
ejpam-194	122	8	(	(	PUNCT
ejpam-194	122	9	λ+	λ+	NUM
ejpam-194	122	10	2µ)mi	2µ)mi	NUM
ejpam-194	122	11	ri1/2(mir	ri1/2(mir	NOUN
ejpam-194	122	12	)	)	PUNCT
ejpam-194	122	13	�	�	PROPN
ejpam-194	122	14	/r3/2	/r3/2	PUNCT
ejpam-194	122	15	+	+	CCONJ
ejpam-194	122	16	a1	a1	NOUN
ejpam-194	122	17	∑	∑	PROPN
ejpam-194	122	18	i=1,2	i=1,2	ADJ
ejpam-194	122	19	bi	bi	PROPN
ejpam-194	122	20	�	�	PROPN
ejpam-194	122	21	2µ	2µ	NUM
ejpam-194	122	22	λ+	λ+	NUM
ejpam-194	122	23	2µ	2µ	NUM
ejpam-194	122	24	k3/2(mir)−	k3/2(mir)−	PROPN
ejpam-194	122	25	λm2	λm2	NOUN
ejpam-194	122	26	i	i	PRON
ejpam-194	122	27	+	+	X
ejpam-194	122	28	(	(	PUNCT
ejpam-194	122	29	λ+	λ+	PUNCT
ejpam-194	122	30	2µ)(p2	2µ)(p2	NUM
ejpam-194	122	31	−m2	−m2	NOUN
ejpam-194	122	32	i	i	PRON
ejpam-194	122	33	)	)	PUNCT
ejpam-194	122	34	(	(	PUNCT
ejpam-194	122	35	λ+	λ+	NUM
ejpam-194	122	36	2µ)mi	2µ)mi	NUM
ejpam-194	122	37	rk1/2(mir	rk1/2(mir	NOUN
ejpam-194	122	38	)	)	PUNCT
ejpam-194	122	39	�	�	PROPN
ejpam-194	122	40	/r3/2	/r3/2	PROPN
ejpam-194	122	41	,	,	PUNCT
ejpam-194	122	42	(	(	PUNCT
ejpam-194	122	43	31	31	NUM
ejpam-194	122	44	)	)	PUNCT
ejpam-194	122	45	a.	a.	NOUN
ejpam-194	122	46	kar	kar	PROPN
ejpam-194	122	47	and	and	CCONJ
ejpam-194	122	48	m.	m.	PROPN
ejpam-194	122	49	kanoria	kanoria	PROPN
ejpam-194	122	50	/	/	SYM
ejpam-194	122	51	eur	eur	PROPN
ejpam-194	122	52	.	.	PUNCT
ejpam-194	123	1	j.	j.	PROPN
ejpam-194	123	2	pure	pure	PROPN
ejpam-194	123	3	appl	appl	PROPN
ejpam-194	123	4	.	.	PROPN
ejpam-194	123	5	math	math	PROPN
ejpam-194	123	6	,	,	PUNCT
ejpam-194	123	7	2	2	NUM
ejpam-194	123	8	(	(	PUNCT
ejpam-194	123	9	2009	2009	NUM
ejpam-194	123	10	)	)	PUNCT
ejpam-194	123	11	,	,	PUNCT
ejpam-194	123	12	(	(	PUNCT
ejpam-194	123	13	125	125	NUM
ejpam-194	123	14	-	-	SYM
ejpam-194	123	15	146	146	NUM
ejpam-194	123	16	)	)	PUNCT
ejpam-194	123	17	134	134	NUM
ejpam-194	123	18	where	where	SCONJ
ejpam-194	123	19	a1	a1	NOUN
ejpam-194	123	20	=	=	SYM
ejpam-194	123	21	1	1	NUM
ejpam-194	123	22	+	+	NUM
ejpam-194	123	23	α	α	NOUN
ejpam-194	123	24	′	′	NUM
ejpam-194	123	25	pδ1k	pδ1k	VERB
ejpam-194	123	26	.	.	PUNCT
ejpam-194	124	1	using	use	VERB
ejpam-194	124	2	the	the	DET
ejpam-194	124	3	boundary	boundary	ADJ
ejpam-194	124	4	conditions	condition	NOUN
ejpam-194	124	5	σr	σr	NOUN
ejpam-194	124	6	=	=	SYM
ejpam-194	124	7	0	0	NUM
ejpam-194	125	1	on	on	ADP
ejpam-194	125	2	r	r	NOUN
ejpam-194	125	3	=	=	SYM
ejpam-194	125	4	1	1	NUM
ejpam-194	125	5	,	,	PUNCT
ejpam-194	125	6	r	r	NOUN
ejpam-194	125	7	=	=	SYM
ejpam-194	125	8	s	s	PROPN
ejpam-194	125	9	and	and	CCONJ
ejpam-194	125	10	θ	θ	NOUN
ejpam-194	125	11	=	=	SYM
ejpam-194	125	12	χ1	χ1	PROPN
ejpam-194	125	13	p	p	NOUN
ejpam-194	125	14	on	on	ADP
ejpam-194	125	15	r=	r=	ADJ
ejpam-194	125	16	1	1	NUM
ejpam-194	125	17	,	,	PUNCT
ejpam-194	125	18	θ	θ	X
ejpam-194	125	19	=	=	SYM
ejpam-194	125	20	χ2	χ2	PROPN
ejpam-194	125	21	p	p	PROPN
ejpam-194	125	22	on	on	ADP
ejpam-194	125	23	r=	r=	PROPN
ejpam-194	125	24	s.	s.	PROPN
ejpam-194	125	25	and	and	CCONJ
ejpam-194	125	26	using	use	VERB
ejpam-194	125	27	the	the	DET
ejpam-194	125	28	recurrence	recurrence	NOUN
ejpam-194	125	29	relations	relation	NOUN
ejpam-194	125	30	[	[	X
ejpam-194	125	31	23	23	NUM
ejpam-194	125	32	]	]	PUNCT
ejpam-194	125	33	we	we	PRON
ejpam-194	125	34	obtain	obtain	VERB
ejpam-194	125	35	from	from	ADP
ejpam-194	125	36	equations	equation	NOUN
ejpam-194	125	37	(	(	PUNCT
ejpam-194	125	38	28	28	NUM
ejpam-194	125	39	)	)	PUNCT
ejpam-194	125	40	and	and	CCONJ
ejpam-194	125	41	(	(	PUNCT
ejpam-194	125	42	29	29	NUM
ejpam-194	125	43	)	)	PUNCT
ejpam-194	125	44	a1w11	a1w11	NOUN
ejpam-194	125	45	+	+	CCONJ
ejpam-194	125	46	a2w12	a2w12	NOUN
ejpam-194	125	47	+	+	NUM
ejpam-194	125	48	b1w13	b1w13	NOUN
ejpam-194	125	49	+	+	CCONJ
ejpam-194	125	50	b2w14	b2w14	NOUN
ejpam-194	125	51	=	=	SYM
ejpam-194	125	52	0	0	NUM
ejpam-194	125	53	,	,	PUNCT
ejpam-194	125	54	a1w21	a1w21	NOUN
ejpam-194	125	55	+	+	CCONJ
ejpam-194	125	56	a2w22	a2w22	X
ejpam-194	125	57	+	+	CCONJ
ejpam-194	125	58	b1w23	b1w23	ADJ
ejpam-194	125	59	+	+	CCONJ
ejpam-194	125	60	b2w24	b2w24	X
ejpam-194	125	61	=	=	SYM
ejpam-194	125	62	0	0	NUM
ejpam-194	125	63	,	,	PUNCT
ejpam-194	125	64	a1w31	a1w31	X
ejpam-194	125	65	+	+	CCONJ
ejpam-194	125	66	a2w32	a2w32	NOUN
ejpam-194	125	67	+	+	CCONJ
ejpam-194	125	68	b1w33	b1w33	NOUN
ejpam-194	125	69	+	+	CCONJ
ejpam-194	125	70	b2w34	b2w34	PROPN
ejpam-194	125	71	=	=	PROPN
ejpam-194	125	72	χ1	χ1	PROPN
ejpam-194	125	73	p	p	NOUN
ejpam-194	125	74	,	,	PUNCT
ejpam-194	125	75	(	(	PUNCT
ejpam-194	125	76	32	32	NUM
ejpam-194	125	77	)	)	PUNCT
ejpam-194	125	78	a1w41	a1w41	NOUN
ejpam-194	126	1	+	+	CCONJ
ejpam-194	126	2	a2w42	a2w42	NOUN
ejpam-194	126	3	+	+	NUM
ejpam-194	126	4	b1w43	b1w43	NOUN
ejpam-194	126	5	+	+	CCONJ
ejpam-194	126	6	b2w44	b2w44	NOUN
ejpam-194	126	7	=	=	SYM
ejpam-194	126	8	χ2	χ2	PROPN
ejpam-194	126	9	p	p	PROPN
ejpam-194	126	10	,	,	PUNCT
ejpam-194	126	11	where	where	SCONJ
ejpam-194	126	12	w1i	w1i	NOUN
ejpam-194	126	13	=	=	SYM
ejpam-194	126	14	4µ	4µ	NOUN
ejpam-194	126	15	λ+	λ+	PUNCT
ejpam-194	126	16	2µ	2µ	NUM
ejpam-194	126	17	p3/2(m	p3/2(m	PROPN
ejpam-194	126	18	j	j	NOUN
ejpam-194	126	19	)	)	PUNCT
ejpam-194	127	1	+	+	CCONJ
ejpam-194	127	2	p2	p2	PROPN
ejpam-194	127	3	m	m	NUM
ejpam-194	127	4	j	j	PROPN
ejpam-194	127	5	p1/2(m	p1/2(m	PROPN
ejpam-194	127	6	j	j	PROPN
ejpam-194	127	7	)	)	PUNCT
ejpam-194	127	8	,	,	PUNCT
ejpam-194	127	9	w2i	w2i	NOUN
ejpam-194	127	10	=	=	SYM
ejpam-194	127	11	4µ	4µ	NOUN
ejpam-194	127	12	λ+	λ+	PUNCT
ejpam-194	127	13	2µ	2µ	NUM
ejpam-194	127	14	p3/2(m	p3/2(m	PROPN
ejpam-194	127	15	js	js	ADJ
ejpam-194	127	16	)	)	PUNCT
ejpam-194	127	17	+	+	CCONJ
ejpam-194	127	18	p2	p2	PROPN
ejpam-194	127	19	m	m	VERB
ejpam-194	127	20	j	j	PROPN
ejpam-194	127	21	sp1/2(m	sp1/2(m	NOUN
ejpam-194	127	22	js	js	PROPN
ejpam-194	127	23	)	)	PUNCT
ejpam-194	127	24	,	,	PUNCT
ejpam-194	127	25	w3i	w3i	PROPN
ejpam-194	127	26	=	=	PUNCT
ejpam-194	127	27	p2	p2	PROPN
ejpam-194	127	28	−m2	−m2	NOUN
ejpam-194	128	1	j	j	PROPN
ejpam-194	128	2	m	m	VERB
ejpam-194	128	3	j	j	PROPN
ejpam-194	128	4	p1/2(m	p1/2(m	PROPN
ejpam-194	128	5	j	j	PROPN
ejpam-194	128	6	)	)	PUNCT
ejpam-194	128	7	,	,	PUNCT
ejpam-194	128	8	(	(	PUNCT
ejpam-194	128	9	33	33	NUM
ejpam-194	128	10	)	)	PUNCT
ejpam-194	128	11	w4i	w4i	PROPN
ejpam-194	128	12	=	=	PUNCT
ejpam-194	128	13	p2	p2	PROPN
ejpam-194	128	14	−m2	−m2	NOUN
ejpam-194	129	1	j	j	NOUN
ejpam-194	129	2	m	m	ADJ
ejpam-194	129	3	js	js	PROPN
ejpam-194	129	4	1/2	1/2	NUM
ejpam-194	129	5	p1/2(m	p1/2(m	PROPN
ejpam-194	129	6	js	js	PROPN
ejpam-194	129	7	)	)	PUNCT
ejpam-194	129	8	,	,	PUNCT
ejpam-194	129	9	where	where	SCONJ
ejpam-194	129	10	p	p	NOUN
ejpam-194	129	11	=	=	PUNCT
ejpam-194	129	12	i	i	PRON
ejpam-194	129	13	for	for	ADP
ejpam-194	129	14	i	i	PRON
ejpam-194	129	15	=	=	SYM
ejpam-194	129	16	j	j	PROPN
ejpam-194	130	1	=	=	SYM
ejpam-194	130	2	1,2	1,2	NUM
ejpam-194	130	3	;	;	PUNCT
ejpam-194	130	4	p	p	PROPN
ejpam-194	130	5	=	=	PUNCT
ejpam-194	130	6	k	k	PROPN
ejpam-194	130	7	for	for	ADP
ejpam-194	130	8	i	i	PRON
ejpam-194	130	9	=	=	SYM
ejpam-194	130	10	3	3	NUM
ejpam-194	130	11	,	,	PUNCT
ejpam-194	130	12	j	j	PROPN
ejpam-194	130	13	=	=	SYM
ejpam-194	130	14	1	1	NUM
ejpam-194	130	15	and	and	CCONJ
ejpam-194	130	16	i	i	PRON
ejpam-194	130	17	=	=	NOUN
ejpam-194	130	18	4	4	NUM
ejpam-194	130	19	,	,	PUNCT
ejpam-194	130	20	j	j	PROPN
ejpam-194	130	21	=	=	SYM
ejpam-194	130	22	2	2	NUM
ejpam-194	130	23	.	.	PUNCT
ejpam-194	130	24	from	from	ADP
ejpam-194	130	25	(	(	PUNCT
ejpam-194	130	26	32	32	NUM
ejpam-194	130	27	)	)	PUNCT
ejpam-194	130	28	the	the	DET
ejpam-194	130	29	values	value	NOUN
ejpam-194	130	30	of	of	ADP
ejpam-194	130	31	a1	a1	NOUN
ejpam-194	130	32	,	,	PUNCT
ejpam-194	130	33	a2	a2	PROPN
ejpam-194	130	34	,	,	PUNCT
ejpam-194	130	35	b1	b1	NOUN
ejpam-194	130	36	and	and	CCONJ
ejpam-194	130	37	b2	b2	NOUN
ejpam-194	130	38	are	be	AUX
ejpam-194	130	39	given	give	VERB
ejpam-194	130	40	as	as	ADP
ejpam-194	130	41			NUM
ejpam-194	130	42			PROPN
ejpam-194	130	43	a1	a1	NOUN
ejpam-194	130	44	a2	a2	PROPN
ejpam-194	130	45	b1	b1	PROPN
ejpam-194	130	46	b2	b2	PROPN
ejpam-194	130	47			PUNCT
ejpam-194	131	1			NOUN
ejpam-194	131	2	=	=	SYM
ejpam-194	131	3			PROPN
ejpam-194	131	4			PROPN
ejpam-194	131	5	w11	w11	PROPN
ejpam-194	131	6	w12	w12	PROPN
ejpam-194	131	7	w13	w13	PROPN
ejpam-194	131	8	w14	w14	PROPN
ejpam-194	131	9	w21	w21	PROPN
ejpam-194	131	10	w22	w22	PROPN
ejpam-194	131	11	w23	w23	VERB
ejpam-194	131	12	w24	w24	PROPN
ejpam-194	131	13	w31	w31	PROPN
ejpam-194	131	14	w32	w32	PROPN
ejpam-194	131	15	w33	w33	PROPN
ejpam-194	131	16	w34	w34	PROPN
ejpam-194	131	17	w41	w41	PROPN
ejpam-194	131	18	w42	w42	PROPN
ejpam-194	131	19	w43	w43	PROPN
ejpam-194	131	20	w44	w44	PROPN
ejpam-194	131	21			PROPN
ejpam-194	132	1			NOUN
ejpam-194	132	2	−1	−1	NOUN
ejpam-194	132	3			NOUN
ejpam-194	132	4			NOUN
ejpam-194	132	5	0	0	NUM
ejpam-194	132	6	0	0	NUM
ejpam-194	132	7	χ1	χ1	NOUN
ejpam-194	132	8	p	p	PROPN
ejpam-194	132	9	χ2	χ2	PROPN
ejpam-194	132	10	p	p	PROPN
ejpam-194	133	1			PUNCT
ejpam-194	134	1			INTJ
ejpam-194	134	2	.	.	PUNCT
ejpam-194	135	1	(	(	PUNCT
ejpam-194	135	2	34	34	NUM
ejpam-194	135	3	)	)	PUNCT
ejpam-194	135	4	equation	equation	NOUN
ejpam-194	135	5	(	(	PUNCT
ejpam-194	135	6	22	22	NUM
ejpam-194	135	7	)	)	PUNCT
ejpam-194	135	8	can	can	AUX
ejpam-194	135	9	be	be	AUX
ejpam-194	135	10	written	write	VERB
ejpam-194	135	11	as	as	ADP
ejpam-194	135	12	m4	m4	PROPN
ejpam-194	135	13	−	−	PROPN
ejpam-194	135	14	�	�	PROPN
ejpam-194	135	15	p2	p2	PROPN
ejpam-194	135	16	+	+	CCONJ
ejpam-194	135	17	¨	¨	NOUN
ejpam-194	135	18	p	p	PROPN
ejpam-194	135	19	c2	c2	PROPN
ejpam-194	135	20	k	k	PROPN
ejpam-194	135	21	(	(	PUNCT
ejpam-194	135	22	1+α∗	1+α∗	NUM
ejpam-194	135	23	′	′	NUM
ejpam-194	135	24	p+	p+	VERB
ejpam-194	135	25	εζ(1+α	εζ(1+α	PROPN
ejpam-194	135	26	′	′	NUM
ejpam-194	135	27	p))δ1k	p))δ1k	PUNCT
ejpam-194	136	1	+	+	CCONJ
ejpam-194	136	2	(	(	PUNCT
ejpam-194	136	3	1	1	NUM
ejpam-194	136	4	+	+	NUM
ejpam-194	136	5	ε)p2	ε)p2	PROPN
ejpam-194	136	6	c2	c2	PROPN
ejpam-194	136	7	t	t	PROPN
ejpam-194	136	8	+	+	CCONJ
ejpam-194	136	9	c2	c2	PROPN
ejpam-194	137	1	k	k	PROPN
ejpam-194	138	1	p	p	X
ejpam-194	138	2	δ2k	δ2k	PROPN
ejpam-194	138	3	«	«	PUNCT
ejpam-194	138	4	�	�	PROPN
ejpam-194	138	5	m2	m2	PROPN
ejpam-194	138	6	+	+	PROPN
ejpam-194	138	7	p3	p3	PROPN
ejpam-194	138	8			PROPN
ejpam-194	138	9			PROPN
ejpam-194	138	10			PROPN
ejpam-194	138	11	(	(	PUNCT
ejpam-194	138	12	1+α∗	1+α∗	NUM
ejpam-194	138	13	′	′	NUM
ejpam-194	138	14	p)δ1k	p)δ1k	VERB
ejpam-194	138	15	+	+	CCONJ
ejpam-194	138	16	pδ2k	pδ2k	NUM
ejpam-194	138	17	c2	c2	NOUN
ejpam-194	138	18	k(δ1k	k(δ1k	VERB
ejpam-194	138	19	+	+	X
ejpam-194	138	20	pδ2k	pδ2k	NUM
ejpam-194	138	21	)	)	PUNCT
ejpam-194	139	1	+	+	CCONJ
ejpam-194	140	1	c2	c2	PROPN
ejpam-194	140	2	tδ2k	tδ2k	PROPN
ejpam-194	140	3			PROPN
ejpam-194	140	4			PROPN
ejpam-194	140	5			NOUN
ejpam-194	140	6	=	=	SYM
ejpam-194	140	7	0	0	NUM
ejpam-194	140	8	.	.	PUNCT
ejpam-194	141	1	(	(	PUNCT
ejpam-194	141	2	35	35	NUM
ejpam-194	141	3	)	)	PUNCT
ejpam-194	141	4	a.	a.	NOUN
ejpam-194	141	5	kar	kar	PROPN
ejpam-194	141	6	and	and	CCONJ
ejpam-194	141	7	m.	m.	PROPN
ejpam-194	141	8	kanoria	kanoria	PROPN
ejpam-194	141	9	/	/	SYM
ejpam-194	141	10	eur	eur	PROPN
ejpam-194	141	11	.	.	PUNCT
ejpam-194	142	1	j.	j.	PROPN
ejpam-194	142	2	pure	pure	PROPN
ejpam-194	142	3	appl	appl	PROPN
ejpam-194	142	4	.	.	PROPN
ejpam-194	142	5	math	math	PROPN
ejpam-194	142	6	,	,	PUNCT
ejpam-194	142	7	2	2	NUM
ejpam-194	142	8	(	(	PUNCT
ejpam-194	142	9	2009	2009	NUM
ejpam-194	142	10	)	)	PUNCT
ejpam-194	142	11	,	,	PUNCT
ejpam-194	142	12	(	(	PUNCT
ejpam-194	142	13	125	125	NUM
ejpam-194	142	14	-	-	SYM
ejpam-194	142	15	146	146	NUM
ejpam-194	142	16	)	)	PUNCT
ejpam-194	142	17	135	135	NUM
ejpam-194	142	18	therefore	therefore	ADV
ejpam-194	142	19	,	,	PUNCT
ejpam-194	142	20	m1	m1	PROPN
ejpam-194	142	21	,	,	PUNCT
ejpam-194	143	1	m2	m2	PROPN
ejpam-194	143	2	=	=	PROPN
ejpam-194	143	3	p	p	X
ejpam-194	143	4	p(δ1k	p(δ1k	PROPN
ejpam-194	144	1	+	+	CCONJ
ejpam-194	144	2	p	p	NOUN
ejpam-194	144	3	pδ2k	pδ2k	NOUN
ejpam-194	144	4	)	)	PUNCT
ejpam-194	144	5	2	2	NUM
ejpam-194	144	6	p	p	NOUN
ejpam-194	144	7	c2	c2	PROPN
ejpam-194	144	8	k(δ1k	k(δ1k	VERB
ejpam-194	144	9	+	+	X
ejpam-194	144	10	pδ2k	pδ2k	NUM
ejpam-194	144	11	)	)	PUNCT
ejpam-194	144	12	+	+	CCONJ
ejpam-194	144	13	c2	c2	PROPN
ejpam-194	144	14	tδ2k	tδ2k	PROPN
ejpam-194	144	15	(	(	PUNCT
ejpam-194	144	16	p	p	NOUN
ejpam-194	144	17	α±pβ	α±pβ	PROPN
ejpam-194	144	18	)	)	PUNCT
ejpam-194	144	19	,	,	PUNCT
ejpam-194	144	20	(	(	PUNCT
ejpam-194	144	21	36	36	NUM
ejpam-194	144	22	)	)	PUNCT
ejpam-194	144	23	where	where	SCONJ
ejpam-194	144	24	α	α	X
ejpam-194	144	25	,	,	PUNCT
ejpam-194	144	26	β	β	X
ejpam-194	144	27	=	=	PUNCT
ejpam-194	145	1	[	[	PUNCT
ejpam-194	145	2	æ	æ	X
ejpam-194	145	3	1+α∗	1+α∗	NUM
ejpam-194	145	4	′	′	NUM
ejpam-194	145	5	pδ1k	pδ1k	VERB
ejpam-194	145	6	±	±	NOUN
ejpam-194	146	1	æ	æ	PROPN
ejpam-194	146	2	c2	c2	PROPN
ejpam-194	146	3	k	k	PROPN
ejpam-194	146	4	p+	p+	VERB
ejpam-194	146	5	c2	c2	PROPN
ejpam-194	146	6	tδ2k	tδ2k	PROPN
ejpam-194	146	7	]	]	X
ejpam-194	146	8	2	2	NUM
ejpam-194	147	1	+	+	CCONJ
ejpam-194	147	2	[	[	X
ejpam-194	147	3	(	(	PUNCT
ejpam-194	147	4	1+α	1+α	NUM
ejpam-194	147	5	′	′	NOUN
ejpam-194	147	6	)	)	PUNCT
ejpam-194	147	7	ζδ1k	ζδ1k	VERB
ejpam-194	147	8	+	+	CCONJ
ejpam-194	147	9	δ2k]ε	δ2k]ε	NOUN
ejpam-194	147	10	.	.	PUNCT
ejpam-194	148	1	(	(	PUNCT
ejpam-194	148	2	37	37	NUM
ejpam-194	148	3	)	)	PUNCT
ejpam-194	148	4	therefore	therefore	ADV
ejpam-194	148	5	,	,	PUNCT
ejpam-194	148	6	m1	m1	PROPN
ejpam-194	148	7	and	and	CCONJ
ejpam-194	148	8	m2	m2	PROPN
ejpam-194	148	9	are	be	AUX
ejpam-194	148	10	real	real	ADJ
ejpam-194	148	11	and	and	CCONJ
ejpam-194	148	12	positive	positive	ADJ
ejpam-194	148	13	quantities	quantity	NOUN
ejpam-194	148	14	.	.	PUNCT
ejpam-194	149	1	5	5	X
ejpam-194	149	2	.	.	NOUN
ejpam-194	149	3	special	special	ADJ
ejpam-194	149	4	case	case	NOUN
ejpam-194	149	5	(	(	PUNCT
ejpam-194	149	6	case	case	NOUN
ejpam-194	149	7	of	of	ADP
ejpam-194	149	8	infinite	infinite	ADJ
ejpam-194	149	9	body	body	NOUN
ejpam-194	149	10	)	)	PUNCT
ejpam-194	149	11	from	from	ADP
ejpam-194	149	12	(	(	PUNCT
ejpam-194	149	13	30	30	NUM
ejpam-194	149	14	)	)	PUNCT
ejpam-194	149	15	and	and	CCONJ
ejpam-194	149	16	(	(	PUNCT
ejpam-194	149	17	31	31	NUM
ejpam-194	149	18	)	)	PUNCT
ejpam-194	149	19	we	we	PRON
ejpam-194	149	20	write	write	VERB
ejpam-194	149	21	σr	σr	ADV
ejpam-194	149	22	=	=	PUNCT
ejpam-194	149	23	σr(i	σr(i	X
ejpam-194	149	24	)	)	PUNCT
ejpam-194	150	1	+	+	NOUN
ejpam-194	150	2	σr(k	σr(k	NOUN
ejpam-194	150	3	)	)	PUNCT
ejpam-194	150	4	,	,	PUNCT
ejpam-194	150	5	(	(	PUNCT
ejpam-194	150	6	38	38	NUM
ejpam-194	150	7	)	)	PUNCT
ejpam-194	150	8	σθ	σθ	NOUN
ejpam-194	150	9	=	=	PUNCT
ejpam-194	151	1	σθ	σθ	PROPN
ejpam-194	151	2	(	(	PUNCT
ejpam-194	151	3	i	i	NOUN
ejpam-194	151	4	)	)	PUNCT
ejpam-194	152	1	+	+	ADP
ejpam-194	152	2	σθ	σθ	PROPN
ejpam-194	152	3	(	(	PUNCT
ejpam-194	152	4	k	k	NOUN
ejpam-194	152	5	)	)	PUNCT
ejpam-194	152	6	,	,	PUNCT
ejpam-194	152	7	(	(	PUNCT
ejpam-194	152	8	39	39	NUM
ejpam-194	152	9	)	)	PUNCT
ejpam-194	152	10	where	where	SCONJ
ejpam-194	152	11	σr(i	σr(i	ADJ
ejpam-194	152	12	)	)	PUNCT
ejpam-194	152	13	=	=	SYM
ejpam-194	152	14	a1	a1	NOUN
ejpam-194	152	15	∑	∑	PROPN
ejpam-194	152	16	i=1,2	i=1,2	ADJ
ejpam-194	152	17	ai	ai	PRON
ejpam-194	152	18	�	�	PROPN
ejpam-194	152	19	−	−	PROPN
ejpam-194	152	20	4µ	4µ	NOUN
ejpam-194	152	21	λ+	λ+	PUNCT
ejpam-194	152	22	2µ	2µ	NUM
ejpam-194	152	23	i3/2(mir)−	i3/2(mir)−	PROPN
ejpam-194	152	24	p2	p2	PROPN
ejpam-194	152	25	mi	mi	PROPN
ejpam-194	152	26	ri1/2(mir	ri1/2(mir	PROPN
ejpam-194	152	27	)	)	PUNCT
ejpam-194	152	28	�	�	PROPN
ejpam-194	152	29	/r3/2	/r3/2	PROPN
ejpam-194	152	30	,	,	PUNCT
ejpam-194	152	31	(	(	PUNCT
ejpam-194	152	32	40	40	NUM
ejpam-194	152	33	)	)	PUNCT
ejpam-194	152	34	σr(k	σr(k	NOUN
ejpam-194	152	35	)	)	PUNCT
ejpam-194	152	36	=	=	SYM
ejpam-194	152	37	a1	a1	NOUN
ejpam-194	152	38	∑	∑	PROPN
ejpam-194	152	39	i=1,2	i=1,2	ADJ
ejpam-194	152	40	bi	bi	ADJ
ejpam-194	152	41	�	�	PROPN
ejpam-194	153	1	−	−	PROPN
ejpam-194	153	2	4µ	4µ	NOUN
ejpam-194	153	3	λ+	λ+	PUNCT
ejpam-194	153	4	2µ	2µ	NUM
ejpam-194	153	5	k3/2(mir)−	k3/2(mir)−	PROPN
ejpam-194	153	6	p2	p2	PROPN
ejpam-194	153	7	mi	mi	PROPN
ejpam-194	153	8	rk1/2(mir	rk1/2(mir	PROPN
ejpam-194	153	9	)	)	PUNCT
ejpam-194	153	10	�	�	PROPN
ejpam-194	153	11	/r3/2	/r3/2	PROPN
ejpam-194	153	12	,	,	PUNCT
ejpam-194	153	13	(	(	PUNCT
ejpam-194	153	14	41	41	NUM
ejpam-194	153	15	)	)	PUNCT
ejpam-194	153	16	σθ	σθ	NOUN
ejpam-194	153	17	(	(	PUNCT
ejpam-194	153	18	i	i	NOUN
ejpam-194	153	19	)	)	PUNCT
ejpam-194	154	1	=	=	SYM
ejpam-194	154	2	a1	a1	NOUN
ejpam-194	154	3	∑	∑	PROPN
ejpam-194	154	4	i=1,2	i=1,2	ADJ
ejpam-194	154	5	ai	ai	VERB
ejpam-194	154	6	�	�	PROPN
ejpam-194	154	7	2µ	2µ	NUM
ejpam-194	154	8	λ+	λ+	NUM
ejpam-194	154	9	2µ	2µ	NUM
ejpam-194	154	10	i3/2(mir)−	i3/2(mir)−	PROPN
ejpam-194	154	11	λm2	λm2	NOUN
ejpam-194	155	1	i	i	PRON
ejpam-194	155	2	+	+	X
ejpam-194	155	3	(	(	PUNCT
ejpam-194	155	4	λ+	λ+	NUM
ejpam-194	155	5	2µ)(p2−m2	2µ)(p2−m2	NUM
ejpam-194	155	6	i	i	NOUN
ejpam-194	155	7	)	)	PUNCT
ejpam-194	155	8	(	(	PUNCT
ejpam-194	155	9	λ+	λ+	NUM
ejpam-194	155	10	2µ)mi	2µ)mi	NUM
ejpam-194	155	11	ri1/2(mir	ri1/2(mir	NOUN
ejpam-194	155	12	)	)	PUNCT
ejpam-194	155	13	�	�	PROPN
ejpam-194	155	14	/r3/2	/r3/2	PROPN
ejpam-194	155	15	,	,	PUNCT
ejpam-194	155	16	(	(	PUNCT
ejpam-194	155	17	42	42	NUM
ejpam-194	155	18	)	)	PUNCT
ejpam-194	155	19	and	and	CCONJ
ejpam-194	155	20	σθ	σθ	INTJ
ejpam-194	155	21	(	(	PUNCT
ejpam-194	155	22	k	k	X
ejpam-194	155	23	)	)	PUNCT
ejpam-194	155	24	=	=	SYM
ejpam-194	155	25	a1	a1	NOUN
ejpam-194	155	26	∑	∑	PROPN
ejpam-194	155	27	i=1,2	i=1,2	ADJ
ejpam-194	155	28	bi	bi	PROPN
ejpam-194	155	29	�	�	PROPN
ejpam-194	155	30	2µ	2µ	NUM
ejpam-194	155	31	λ+	λ+	NUM
ejpam-194	155	32	2µ	2µ	NUM
ejpam-194	155	33	k3/2(mir)−	k3/2(mir)−	PROPN
ejpam-194	155	34	λm2	λm2	NOUN
ejpam-194	155	35	i	i	PRON
ejpam-194	155	36	+	+	X
ejpam-194	155	37	(	(	PUNCT
ejpam-194	155	38	λ+	λ+	PUNCT
ejpam-194	155	39	2µ)(p2	2µ)(p2	NUM
ejpam-194	155	40	−m2	−m2	NOUN
ejpam-194	155	41	i	i	PRON
ejpam-194	155	42	)	)	PUNCT
ejpam-194	155	43	(	(	PUNCT
ejpam-194	155	44	λ+	λ+	NUM
ejpam-194	155	45	2µ)mi	2µ)mi	NUM
ejpam-194	155	46	rk1/2(mir	rk1/2(mir	NOUN
ejpam-194	155	47	)	)	PUNCT
ejpam-194	155	48	�	�	PROPN
ejpam-194	155	49	/r3/2	/r3/2	INTJ
ejpam-194	155	50	.	.	PUNCT
ejpam-194	156	1	(	(	PUNCT
ejpam-194	156	2	43	43	NUM
ejpam-194	156	3	)	)	PUNCT
ejpam-194	156	4	a.	a.	NOUN
ejpam-194	156	5	kar	kar	PROPN
ejpam-194	156	6	and	and	CCONJ
ejpam-194	156	7	m.	m.	PROPN
ejpam-194	156	8	kanoria	kanoria	PROPN
ejpam-194	156	9	/	/	SYM
ejpam-194	156	10	eur	eur	PROPN
ejpam-194	156	11	.	.	PUNCT
ejpam-194	157	1	j.	j.	PROPN
ejpam-194	157	2	pure	pure	PROPN
ejpam-194	157	3	appl	appl	PROPN
ejpam-194	157	4	.	.	PROPN
ejpam-194	157	5	math	math	PROPN
ejpam-194	157	6	,	,	PUNCT
ejpam-194	157	7	2	2	NUM
ejpam-194	157	8	(	(	PUNCT
ejpam-194	157	9	2009	2009	NUM
ejpam-194	157	10	)	)	PUNCT
ejpam-194	157	11	,	,	PUNCT
ejpam-194	157	12	(	(	PUNCT
ejpam-194	157	13	125	125	NUM
ejpam-194	157	14	-	-	SYM
ejpam-194	157	15	146	146	NUM
ejpam-194	157	16	)	)	PUNCT
ejpam-194	157	17	136	136	NUM
ejpam-194	157	18	for	for	ADP
ejpam-194	157	19	large	large	ADJ
ejpam-194	157	20	value	value	NOUN
ejpam-194	157	21	of	of	ADP
ejpam-194	157	22	b	b	NOUN
ejpam-194	157	23	i.e.	i.e.	X
ejpam-194	157	24	for	for	ADP
ejpam-194	157	25	large	large	ADJ
ejpam-194	157	26	value	value	NOUN
ejpam-194	157	27	of	of	ADP
ejpam-194	157	28	s	s	PROPN
ejpam-194	157	29	,	,	PUNCT
ejpam-194	157	30	k1/2(mis	k1/2(mis	PROPN
ejpam-194	157	31	)	)	PUNCT
ejpam-194	157	32	and	and	CCONJ
ejpam-194	157	33	k3/2(mis	k3/2(mis	PROPN
ejpam-194	157	34	)	)	PUNCT
ejpam-194	157	35	tend	tend	VERB
ejpam-194	157	36	to	to	ADP
ejpam-194	157	37	zero	zero	NUM
ejpam-194	157	38	.	.	PUNCT
ejpam-194	158	1	thus	thus	ADV
ejpam-194	158	2	for	for	ADP
ejpam-194	158	3	large	large	ADJ
ejpam-194	158	4	values	value	NOUN
ejpam-194	158	5	of	of	ADP
ejpam-194	158	6	b	b	NOUN
ejpam-194	158	7	the	the	DET
ejpam-194	158	8	asymptotic	asymptotic	ADJ
ejpam-194	158	9	expressions	expression	NOUN
ejpam-194	158	10	of	of	ADP
ejpam-194	158	11	σr(i	σr(i	NOUN
ejpam-194	158	12	)	)	PUNCT
ejpam-194	158	13	and	and	CCONJ
ejpam-194	158	14	σθ	σθ	INTJ
ejpam-194	158	15	(	(	PUNCT
ejpam-194	158	16	i	i	NOUN
ejpam-194	158	17	)	)	PUNCT
ejpam-194	158	18	are	be	AUX
ejpam-194	158	19	given	give	VERB
ejpam-194	158	20	as	as	ADP
ejpam-194	158	21	σr(i	σr(i	ADJ
ejpam-194	158	22	)	)	PUNCT
ejpam-194	159	1	=	=	SYM
ejpam-194	159	2	a1	a1	NOUN
ejpam-194	159	3	χ2	χ2	PROPN
ejpam-194	159	4	p	p	PROPN
ejpam-194	159	5	p	p	PROPN
ejpam-194	159	6	s	s	PROPN
ejpam-194	159	7	r2	r2	PROPN
ejpam-194	159	8	e−m2(s−r	e−m2(s−r	X
ejpam-194	159	9	)	)	PUNCT
ejpam-194	159	10	�	�	PROPN
ejpam-194	160	1	4µ	4µ	NOUN
ejpam-194	160	2	λ+	λ+	PUNCT
ejpam-194	160	3	2µ	2µ	NUM
ejpam-194	160	4	�	�	PROPN
ejpam-194	160	5	1−	1−	NUM
ejpam-194	160	6	1	1	NUM
ejpam-194	160	7	m1s	m1s	PROPN
ejpam-194	160	8	�	�	PROPN
ejpam-194	160	9	+	+	CCONJ
ejpam-194	160	10	p2	p2	PROPN
ejpam-194	160	11	m1	m1	PROPN
ejpam-194	160	12	s	s	PART
ejpam-194	160	13	�	�	PROPN
ejpam-194	160	14	×	×	PROPN
ejpam-194	160	15	�	�	PROPN
ejpam-194	160	16	4µ	4µ	NOUN
ejpam-194	160	17	λ+	λ+	PUNCT
ejpam-194	160	18	2µ	2µ	NUM
ejpam-194	160	19	�	�	PROPN
ejpam-194	160	20	1−	1−	NUM
ejpam-194	160	21	1	1	NUM
ejpam-194	160	22	m2r	m2r	PROPN
ejpam-194	160	23	�	�	NOUN
ejpam-194	160	24	+	+	CCONJ
ejpam-194	160	25	p2	p2	PROPN
ejpam-194	160	26	m2	m2	PROPN
ejpam-194	160	27	r	r	PROPN
ejpam-194	160	28	�	�	PROPN
ejpam-194	160	29	−e−m1(s−r	−e−m1(s−r	NUM
ejpam-194	160	30	)	)	PUNCT
ejpam-194	160	31	�	�	PROPN
ejpam-194	160	32	4µ	4µ	NOUN
ejpam-194	160	33	λ+	λ+	PUNCT
ejpam-194	160	34	2µ	2µ	NUM
ejpam-194	160	35	�	�	PROPN
ejpam-194	160	36	1−	1−	NUM
ejpam-194	160	37	1	1	NUM
ejpam-194	160	38	m2s	m2s	PROPN
ejpam-194	160	39	�	�	PROPN
ejpam-194	160	40	+	+	CCONJ
ejpam-194	160	41	p2	p2	PROPN
ejpam-194	160	42	m2	m2	PROPN
ejpam-194	160	43	s	s	PROPN
ejpam-194	160	44	�	�	PROPN
ejpam-194	160	45	×	×	PROPN
ejpam-194	160	46	�	�	PROPN
ejpam-194	160	47	4µ	4µ	NOUN
ejpam-194	160	48	λ+	λ+	PUNCT
ejpam-194	160	49	2µ	2µ	NUM
ejpam-194	160	50	�	�	PROPN
ejpam-194	160	51	1−	1−	NUM
ejpam-194	160	52	1	1	NUM
ejpam-194	160	53	m1r	m1r	VERB
ejpam-194	160	54	�	�	PROPN
ejpam-194	160	55	+	+	CCONJ
ejpam-194	160	56	p2	p2	PROPN
ejpam-194	160	57	m1	m1	PROPN
ejpam-194	160	58	r	r	NOUN
ejpam-194	160	59	�	�	PROPN
ejpam-194	160	60	p2	p2	NOUN
ejpam-194	160	61	−m2	−m2	NOUN
ejpam-194	160	62	1	1	NUM
ejpam-194	160	63	m1	m1	PROPN
ejpam-194	160	64	�	�	PROPN
ejpam-194	160	65	4µ	4µ	NOUN
ejpam-194	160	66	λ+	λ+	PUNCT
ejpam-194	160	67	2µ	2µ	NUM
ejpam-194	160	68	�	�	PROPN
ejpam-194	160	69	1−	1−	NUM
ejpam-194	160	70	1	1	NUM
ejpam-194	160	71	m2s	m2s	PROPN
ejpam-194	160	72	�	�	PROPN
ejpam-194	160	73	+	+	CCONJ
ejpam-194	160	74	p2	p2	PROPN
ejpam-194	160	75	m2	m2	PROPN
ejpam-194	160	76	s	s	PROPN
ejpam-194	160	77	�	�	PROPN
ejpam-194	160	78	−	−	PROPN
ejpam-194	160	79	p2	p2	PROPN
ejpam-194	160	80	−m2	−m2	NOUN
ejpam-194	160	81	2	2	NUM
ejpam-194	160	82	m2	m2	PROPN
ejpam-194	160	83	�	�	PROPN
ejpam-194	160	84	4µ	4µ	NOUN
ejpam-194	160	85	λ+	λ+	PUNCT
ejpam-194	160	86	2µ	2µ	NUM
ejpam-194	160	87	�	�	PROPN
ejpam-194	160	88	1−	1−	NUM
ejpam-194	160	89	1	1	NUM
ejpam-194	160	90	m1s	m1s	PROPN
ejpam-194	160	91	�	�	PROPN
ejpam-194	160	92	+	+	CCONJ
ejpam-194	160	93	p2	p2	PROPN
ejpam-194	160	94	m1	m1	PROPN
ejpam-194	160	95	s	s	PART
ejpam-194	160	96	�	�	PROPN
ejpam-194	160	97	,	,	PUNCT
ejpam-194	160	98	(	(	PUNCT
ejpam-194	160	99	44	44	NUM
ejpam-194	160	100	)	)	PUNCT
ejpam-194	160	101	→	→	SYM
ejpam-194	160	102	0	0	NUM
ejpam-194	160	103	as	as	ADP
ejpam-194	160	104	s→∞	s→∞	NUM
ejpam-194	160	105	and	and	CCONJ
ejpam-194	160	106	σθ	σθ	INTJ
ejpam-194	160	107	(	(	PUNCT
ejpam-194	160	108	i	i	NOUN
ejpam-194	160	109	)	)	PUNCT
ejpam-194	160	110	=	=	SYM
ejpam-194	160	111	a1	a1	NOUN
ejpam-194	160	112	χ2	χ2	PROPN
ejpam-194	161	1	p	p	PROPN
ejpam-194	161	2	p	p	PROPN
ejpam-194	161	3	s	s	PROPN
ejpam-194	161	4	r2	r2	PROPN
ejpam-194	161	5	e−m1(s−r	e−m1(s−r	ADV
ejpam-194	161	6	)	)	PUNCT
ejpam-194	161	7	�	�	PROPN
ejpam-194	161	8	2µ	2µ	NUM
ejpam-194	161	9	λ+	λ+	PUNCT
ejpam-194	161	10	2µ	2µ	NUM
ejpam-194	161	11	�	�	PROPN
ejpam-194	161	12	1−	1−	NUM
ejpam-194	161	13	1	1	NUM
ejpam-194	161	14	m1r	m1r	VERB
ejpam-194	161	15	�	�	PROPN
ejpam-194	161	16	−	−	PROPN
ejpam-194	161	17	λm2	λm2	NOUN
ejpam-194	161	18	1	1	NUM
ejpam-194	161	19	+	+	CCONJ
ejpam-194	161	20	(	(	PUNCT
ejpam-194	161	21	λ+	λ+	NUM
ejpam-194	161	22	2µ)(p2−m2	2µ)(p2−m2	NUM
ejpam-194	161	23	1	1	NUM
ejpam-194	161	24	)	)	PUNCT
ejpam-194	161	25	(	(	PUNCT
ejpam-194	161	26	λ+	λ+	NUM
ejpam-194	161	27	2µ)m1	2µ)m1	NUM
ejpam-194	161	28	r	r	NOUN
ejpam-194	161	29	�	�	PROPN
ejpam-194	161	30	×	×	PROPN
ejpam-194	161	31	�	�	PROPN
ejpam-194	161	32	4µ	4µ	NOUN
ejpam-194	161	33	λ+	λ+	PUNCT
ejpam-194	161	34	2µ	2µ	NUM
ejpam-194	161	35	�	�	PROPN
ejpam-194	161	36	1−	1−	NUM
ejpam-194	161	37	1	1	NUM
ejpam-194	161	38	m2s	m2s	PROPN
ejpam-194	161	39	�	�	PROPN
ejpam-194	161	40	+	+	CCONJ
ejpam-194	161	41	p2	p2	PROPN
ejpam-194	161	42	m2	m2	PROPN
ejpam-194	161	43	s	s	PROPN
ejpam-194	161	44	�	�	PROPN
ejpam-194	161	45	−e−m2(s−r	−e−m2(s−r	NOUN
ejpam-194	161	46	)	)	PUNCT
ejpam-194	161	47	�	�	PROPN
ejpam-194	161	48	2µ	2µ	NUM
ejpam-194	161	49	λ+	λ+	PUNCT
ejpam-194	161	50	2µ	2µ	NUM
ejpam-194	161	51	�	�	PROPN
ejpam-194	161	52	1−	1−	NUM
ejpam-194	161	53	1	1	NUM
ejpam-194	161	54	m2r	m2r	PROPN
ejpam-194	161	55	�	�	NOUN
ejpam-194	161	56	−	−	NOUN
ejpam-194	161	57	λm2	λm2	NOUN
ejpam-194	161	58	2	2	NUM
ejpam-194	161	59	+	+	CCONJ
ejpam-194	161	60	(	(	PUNCT
ejpam-194	161	61	λ+	λ+	NUM
ejpam-194	161	62	2µ)(p2−m2	2µ)(p2−m2	NUM
ejpam-194	161	63	2	2	NUM
ejpam-194	161	64	)	)	PUNCT
ejpam-194	161	65	(	(	PUNCT
ejpam-194	161	66	λ+	λ+	NUM
ejpam-194	161	67	2µ)m2	2µ)m2	NUM
ejpam-194	161	68	r	r	NOUN
ejpam-194	161	69	�	�	PROPN
ejpam-194	161	70	×	×	PROPN
ejpam-194	161	71	�	�	PROPN
ejpam-194	161	72	4µ	4µ	NOUN
ejpam-194	161	73	λ+	λ+	PUNCT
ejpam-194	161	74	2µ	2µ	NUM
ejpam-194	161	75	�	�	PROPN
ejpam-194	161	76	1−	1−	NUM
ejpam-194	161	77	1	1	NUM
ejpam-194	161	78	m1s	m1s	PROPN
ejpam-194	161	79	�	�	PROPN
ejpam-194	161	80	+	+	CCONJ
ejpam-194	161	81	p2	p2	PROPN
ejpam-194	161	82	m1	m1	PROPN
ejpam-194	161	83	s	s	PART
ejpam-194	161	84	�	�	PROPN
ejpam-194	161	85	p2	p2	PROPN
ejpam-194	161	86	−m2	−m2	PROPN
ejpam-194	161	87	1	1	NUM
ejpam-194	161	88	m1	m1	PROPN
ejpam-194	161	89	�	�	PROPN
ejpam-194	161	90	4µ	4µ	NOUN
ejpam-194	161	91	λ+	λ+	PUNCT
ejpam-194	161	92	2µ	2µ	NUM
ejpam-194	161	93	�	�	PROPN
ejpam-194	161	94	1−	1−	NUM
ejpam-194	161	95	1	1	NUM
ejpam-194	161	96	m2s	m2s	PROPN
ejpam-194	161	97	�	�	PROPN
ejpam-194	161	98	+	+	CCONJ
ejpam-194	161	99	p2	p2	PROPN
ejpam-194	161	100	m2	m2	PROPN
ejpam-194	161	101	s	s	PROPN
ejpam-194	161	102	�	�	PROPN
ejpam-194	161	103	−	−	PROPN
ejpam-194	161	104	p2	p2	PROPN
ejpam-194	161	105	−m2	−m2	NOUN
ejpam-194	161	106	2	2	NUM
ejpam-194	161	107	m2	m2	PROPN
ejpam-194	161	108	�	�	PROPN
ejpam-194	161	109	4µ	4µ	NOUN
ejpam-194	161	110	λ+	λ+	PUNCT
ejpam-194	161	111	2µ	2µ	NUM
ejpam-194	161	112	�	�	PROPN
ejpam-194	161	113	1−	1−	NUM
ejpam-194	161	114	1	1	NUM
ejpam-194	161	115	m1s	m1s	PROPN
ejpam-194	161	116	�	�	PROPN
ejpam-194	161	117	+	+	CCONJ
ejpam-194	161	118	p2	p2	PROPN
ejpam-194	161	119	m1	m1	PROPN
ejpam-194	161	120	s	s	PART
ejpam-194	161	121	�	�	PROPN
ejpam-194	161	122	,	,	PUNCT
ejpam-194	161	123	(	(	PUNCT
ejpam-194	161	124	45	45	NUM
ejpam-194	161	125	)	)	PUNCT
ejpam-194	161	126	→	→	SYM
ejpam-194	161	127	0	0	NUM
ejpam-194	161	128	as	as	ADP
ejpam-194	161	129	s→∞.	s→∞.	VERB
ejpam-194	161	130	therefore	therefore	ADV
ejpam-194	161	131	,	,	PUNCT
ejpam-194	161	132	as	as	ADP
ejpam-194	161	133	b→∞	b→∞	NOUN
ejpam-194	161	134	σr	σr	NOUN
ejpam-194	161	135	=	=	NOUN
ejpam-194	161	136	a1	a1	NOUN
ejpam-194	161	137	∑	∑	PROPN
ejpam-194	161	138	i=1,2	i=1,2	ADJ
ejpam-194	161	139	bi	bi	ADJ
ejpam-194	161	140	�	�	PROPN
ejpam-194	162	1	−	−	PROPN
ejpam-194	162	2	4µ	4µ	NOUN
ejpam-194	162	3	λ+	λ+	PUNCT
ejpam-194	162	4	2µ	2µ	NUM
ejpam-194	162	5	k3/2(mir)−	k3/2(mir)−	PROPN
ejpam-194	162	6	p2	p2	PROPN
ejpam-194	162	7	mi	mi	PROPN
ejpam-194	162	8	rk1/2(mir	rk1/2(mir	PROPN
ejpam-194	162	9	)	)	PUNCT
ejpam-194	162	10	�	�	PROPN
ejpam-194	162	11	/r3/2	/r3/2	PROPN
ejpam-194	162	12	,	,	PUNCT
ejpam-194	162	13	(	(	PUNCT
ejpam-194	162	14	46	46	NUM
ejpam-194	162	15	)	)	PUNCT
ejpam-194	162	16	a.	a.	NOUN
ejpam-194	162	17	kar	kar	PROPN
ejpam-194	162	18	and	and	CCONJ
ejpam-194	162	19	m.	m.	PROPN
ejpam-194	162	20	kanoria	kanoria	PROPN
ejpam-194	162	21	/	/	SYM
ejpam-194	162	22	eur	eur	PROPN
ejpam-194	162	23	.	.	PUNCT
ejpam-194	163	1	j.	j.	PROPN
ejpam-194	163	2	pure	pure	PROPN
ejpam-194	163	3	appl	appl	PROPN
ejpam-194	163	4	.	.	PROPN
ejpam-194	163	5	math	math	PROPN
ejpam-194	163	6	,	,	PUNCT
ejpam-194	163	7	2	2	NUM
ejpam-194	163	8	(	(	PUNCT
ejpam-194	163	9	2009	2009	NUM
ejpam-194	163	10	)	)	PUNCT
ejpam-194	163	11	,	,	PUNCT
ejpam-194	163	12	(	(	PUNCT
ejpam-194	163	13	125	125	NUM
ejpam-194	163	14	-	-	SYM
ejpam-194	163	15	146	146	NUM
ejpam-194	163	16	)	)	PUNCT
ejpam-194	163	17	137	137	NUM
ejpam-194	163	18	σθ	σθ	NOUN
ejpam-194	163	19	=	=	NOUN
ejpam-194	163	20	a1	a1	PROPN
ejpam-194	163	21	∑	∑	PROPN
ejpam-194	163	22	i=1,2	i=1,2	ADJ
ejpam-194	163	23	bi	bi	PROPN
ejpam-194	163	24	�	�	PROPN
ejpam-194	163	25	2µ	2µ	NUM
ejpam-194	163	26	λ+	λ+	NUM
ejpam-194	163	27	2µ	2µ	NUM
ejpam-194	164	1	k3/2(mir)−	k3/2(mir)−	PROPN
ejpam-194	165	1	λm2	λm2	NOUN
ejpam-194	166	1	i	i	PRON
ejpam-194	166	2	+	+	X
ejpam-194	166	3	(	(	PUNCT
ejpam-194	166	4	λ+	λ+	PUNCT
ejpam-194	166	5	2µ)(p2	2µ)(p2	NUM
ejpam-194	166	6	−m2	−m2	NOUN
ejpam-194	166	7	i	i	PRON
ejpam-194	166	8	)	)	PUNCT
ejpam-194	166	9	(	(	PUNCT
ejpam-194	166	10	λ+	λ+	NUM
ejpam-194	166	11	2µ)mi	2µ)mi	NUM
ejpam-194	166	12	rk1/2(mir	rk1/2(mir	NOUN
ejpam-194	166	13	)	)	PUNCT
ejpam-194	166	14	�	�	PROPN
ejpam-194	166	15	/r3/2	/r3/2	PROPN
ejpam-194	166	16	,	,	PUNCT
ejpam-194	166	17	(	(	PUNCT
ejpam-194	166	18	47	47	NUM
ejpam-194	166	19	)	)	PUNCT
ejpam-194	166	20	where	where	SCONJ
ejpam-194	166	21	bi	bi	PROPN
ejpam-194	166	22	’s	’s	X
ejpam-194	166	23	(	(	PUNCT
ejpam-194	166	24	i	i	NOUN
ejpam-194	166	25	=	=	SYM
ejpam-194	166	26	1,2	1,2	NUM
ejpam-194	166	27	)	)	PUNCT
ejpam-194	166	28	are	be	AUX
ejpam-194	166	29	given	give	VERB
ejpam-194	166	30	as	as	ADP
ejpam-194	166	31	b1	b1	NOUN
ejpam-194	166	32	=	=	SYM
ejpam-194	166	33	−	−	PROPN
ejpam-194	166	34	χ1	χ1	NOUN
ejpam-194	166	35	p	p	PROPN
ejpam-194	166	36	m1	m1	PROPN
ejpam-194	166	37	�	�	PROPN
ejpam-194	166	38	4µm2k3/2(m2	4µm2k3/2(m2	PROPN
ejpam-194	166	39	)	)	PUNCT
ejpam-194	167	1	+	+	CCONJ
ejpam-194	167	2	(	(	PUNCT
ejpam-194	167	3	λ+	λ+	NUM
ejpam-194	167	4	2µ)p2k1/2(m2	2µ)p2k1/2(m2	NUM
ejpam-194	167	5	)	)	PUNCT
ejpam-194	167	6	�	�	PROPN
ejpam-194	167	7	4µ	4µ	NUM
ejpam-194	167	8	�	�	PROPN
ejpam-194	167	9	(	(	PUNCT
ejpam-194	167	10	p2	p2	PROPN
ejpam-194	167	11	−m2	−m2	NOUN
ejpam-194	167	12	2)m1k3/2(m1)k1/2(m2)−	2)m1k3/2(m1)k1/2(m2)−	NUM
ejpam-194	167	13	�	�	PROPN
ejpam-194	167	14	p2	p2	PROPN
ejpam-194	167	15	−m2	−m2	PROPN
ejpam-194	167	16	1)m2k1/2(m1)k3/2(m2	1)m2k1/2(m1)k3/2(m2	NUM
ejpam-194	167	17	)	)	PUNCT
ejpam-194	167	18	�	�	NOUN
ejpam-194	168	1	+	+	NOUN
ejpam-194	168	2	(	(	PUNCT
ejpam-194	168	3	λ+	λ+	PUNCT
ejpam-194	168	4	2µ)p2(m2	2µ)p2(m2	NUM
ejpam-194	168	5	1	1	NUM
ejpam-194	168	6	−m2	−m2	NOUN
ejpam-194	168	7	2)k1/2(m1)k1/2(m2	2)k1/2(m1)k1/2(m2	NUM
ejpam-194	168	8	)	)	PUNCT
ejpam-194	168	9	,	,	PUNCT
ejpam-194	168	10	(	(	PUNCT
ejpam-194	168	11	48	48	NUM
ejpam-194	168	12	)	)	PUNCT
ejpam-194	168	13	and	and	CCONJ
ejpam-194	168	14	b2	b2	NOUN
ejpam-194	168	15	=	=	SYM
ejpam-194	168	16	χ1	χ1	PROPN
ejpam-194	168	17	p	p	PROPN
ejpam-194	168	18	m2	m2	PROPN
ejpam-194	168	19	�	�	PROPN
ejpam-194	168	20	4µm1k3/2(m1	4µm1k3/2(m1	PROPN
ejpam-194	168	21	)	)	PUNCT
ejpam-194	168	22	+	+	CCONJ
ejpam-194	168	23	(	(	PUNCT
ejpam-194	168	24	λ+	λ+	NUM
ejpam-194	168	25	2µ)p2k1/2(m1	2µ)p2k1/2(m1	NOUN
ejpam-194	168	26	)	)	PUNCT
ejpam-194	168	27	�	�	PROPN
ejpam-194	168	28	4µ	4µ	NUM
ejpam-194	168	29	�	�	PROPN
ejpam-194	168	30	(	(	PUNCT
ejpam-194	168	31	p2	p2	PROPN
ejpam-194	168	32	−m2	−m2	NOUN
ejpam-194	168	33	2)m1k3/2(m1)k1/2(m2)−	2)m1k3/2(m1)k1/2(m2)−	NUM
ejpam-194	168	34	(	(	PUNCT
ejpam-194	168	35	p2	p2	PROPN
ejpam-194	168	36	−m2	−m2	PROPN
ejpam-194	168	37	1)m2k1/2(m1)k3/2(m2	1)m2k1/2(m1)k3/2(m2	NUM
ejpam-194	168	38	)	)	PUNCT
ejpam-194	168	39	�	�	NOUN
ejpam-194	169	1	+	+	NOUN
ejpam-194	169	2	(	(	PUNCT
ejpam-194	169	3	λ+	λ+	PUNCT
ejpam-194	169	4	2µ)p2(m2	2µ)p2(m2	NUM
ejpam-194	169	5	1	1	NUM
ejpam-194	169	6	−m2	−m2	NOUN
ejpam-194	169	7	2)k1/2(m1)k1/2(m2	2)k1/2(m1)k1/2(m2	NUM
ejpam-194	169	8	)	)	PUNCT
ejpam-194	169	9	.	.	PUNCT
ejpam-194	170	1	(	(	PUNCT
ejpam-194	170	2	49	49	NUM
ejpam-194	170	3	)	)	PUNCT
ejpam-194	170	4	the	the	DET
ejpam-194	170	5	values	value	NOUN
ejpam-194	170	6	of	of	ADP
ejpam-194	170	7	m1	m1	PROPN
ejpam-194	170	8	and	and	CCONJ
ejpam-194	170	9	m2	m2	PROPN
ejpam-194	170	10	take	take	VERB
ejpam-194	170	11	the	the	DET
ejpam-194	170	12	same	same	ADJ
ejpam-194	170	13	values	value	NOUN
ejpam-194	170	14	for	for	ADP
ejpam-194	170	15	this	this	DET
ejpam-194	170	16	problem	problem	NOUN
ejpam-194	170	17	and	and	CCONJ
ejpam-194	170	18	those	those	PRON
ejpam-194	170	19	in	in	ADP
ejpam-194	170	20	[	[	X
ejpam-194	170	21	10	10	NUM
ejpam-194	170	22	]	]	PUNCT
ejpam-194	170	23	though	though	SCONJ
ejpam-194	170	24	the	the	DET
ejpam-194	170	25	dimensionless	dimensionless	NOUN
ejpam-194	170	26	forms	form	NOUN
ejpam-194	170	27	are	be	AUX
ejpam-194	170	28	different	different	ADJ
ejpam-194	170	29	.	.	PUNCT
ejpam-194	171	1	therefore	therefore	ADV
ejpam-194	171	2	the	the	DET
ejpam-194	171	3	above	above	ADJ
ejpam-194	171	4	results	result	NOUN
ejpam-194	171	5	are	be	AUX
ejpam-194	171	6	equivalent	equivalent	ADJ
ejpam-194	171	7	to	to	ADP
ejpam-194	171	8	those	those	PRON
ejpam-194	171	9	in	in	ADP
ejpam-194	171	10	[	[	X
ejpam-194	171	11	10	10	NUM
ejpam-194	171	12	]	]	PUNCT
ejpam-194	171	13	.	.	PUNCT
ejpam-194	172	1	6	6	NUM
ejpam-194	172	2	.	.	X
ejpam-194	172	3	numerical	numerical	ADJ
ejpam-194	172	4	results	result	NOUN
ejpam-194	172	5	and	and	CCONJ
ejpam-194	172	6	discussions	discussion	NOUN
ejpam-194	172	7	the	the	DET
ejpam-194	172	8	solution	solution	NOUN
ejpam-194	172	9	in	in	ADP
ejpam-194	172	10	the	the	DET
ejpam-194	172	11	space	space	NOUN
ejpam-194	172	12	-	-	PUNCT
ejpam-194	172	13	time	time	NOUN
ejpam-194	172	14	domain	domain	NOUN
ejpam-194	172	15	is	be	AUX
ejpam-194	172	16	obtained	obtain	VERB
ejpam-194	172	17	numerically	numerically	ADV
ejpam-194	172	18	by	by	ADP
ejpam-194	172	19	the	the	DET
ejpam-194	172	20	method	method	NOUN
ejpam-194	172	21	of	of	ADP
ejpam-194	172	22	bellman	bellman	NOUN
ejpam-194	172	23	et	et	PROPN
ejpam-194	172	24	al	al	PROPN
ejpam-194	172	25	.	.	PUNCT
ejpam-194	173	1	[	[	X
ejpam-194	173	2	22	22	NUM
ejpam-194	173	3	]	]	PUNCT
ejpam-194	173	4	for	for	ADP
ejpam-194	173	5	fixed	fix	VERB
ejpam-194	173	6	value	value	NOUN
ejpam-194	173	7	of	of	ADP
ejpam-194	173	8	the	the	DET
ejpam-194	173	9	space	space	NOUN
ejpam-194	173	10	variable	variable	NOUN
ejpam-194	173	11	and	and	CCONJ
ejpam-194	173	12	for	for	ADP
ejpam-194	173	13	dimensionless	dimensionless	ADJ
ejpam-194	173	14	time	time	NOUN
ejpam-194	173	15	η	η	PROPN
ejpam-194	173	16	=	=	PROPN
ejpam-194	173	17	ηi	ηi	X
ejpam-194	173	18	,	,	PUNCT
ejpam-194	173	19	i	i	PRON
ejpam-194	173	20	=	=	SYM
ejpam-194	173	21	1(1)7	1(1)7	NOUN
ejpam-194	173	22	,	,	PUNCT
ejpam-194	173	23	where	where	SCONJ
ejpam-194	173	24	ηi	ηi	PROPN
ejpam-194	173	25	’s	’	VERB
ejpam-194	173	26	are	be	AUX
ejpam-194	173	27	computed	compute	VERB
ejpam-194	173	28	from	from	ADP
ejpam-194	173	29	roots	root	NOUN
ejpam-194	173	30	of	of	ADP
ejpam-194	173	31	the	the	DET
ejpam-194	173	32	shifted	shift	VERB
ejpam-194	173	33	legendre	legendre	PROPN
ejpam-194	173	34	polynomial	polynomial	PROPN
ejpam-194	173	35	of	of	ADP
ejpam-194	173	36	degree	degree	NOUN
ejpam-194	173	37	7	7	NUM
ejpam-194	173	38	(	(	PUNCT
ejpam-194	173	39	see	see	VERB
ejpam-194	173	40	appendix	appendix	NOUN
ejpam-194	173	41	)	)	PUNCT
ejpam-194	173	42	with	with	ADP
ejpam-194	173	43	s	s	NOUN
ejpam-194	173	44	=	=	NOUN
ejpam-194	173	45	4	4	NUM
ejpam-194	173	46	.	.	PUNCT
ejpam-194	174	1	the	the	DET
ejpam-194	174	2	computations	computation	NOUN
ejpam-194	174	3	for	for	ADP
ejpam-194	174	4	the	the	DET
ejpam-194	174	5	state	state	NOUN
ejpam-194	174	6	variables	variable	NOUN
ejpam-194	174	7	are	be	AUX
ejpam-194	174	8	carried	carry	VERB
ejpam-194	174	9	out	out	ADP
ejpam-194	174	10	for	for	ADP
ejpam-194	174	11	different	different	ADJ
ejpam-194	174	12	values	value	NOUN
ejpam-194	174	13	of	of	ADP
ejpam-194	174	14	ηi	ηi	NOUN
ejpam-194	174	15	,	,	PUNCT
ejpam-194	174	16	ηi	ηi	PROPN
ejpam-194	174	17	=	=	SYM
ejpam-194	174	18	0.0257750	0.0257750	NUM
ejpam-194	174	19	,	,	PUNCT
ejpam-194	174	20	0.138382	0.138382	NUM
ejpam-194	174	21	,	,	PUNCT
ejpam-194	174	22	0.352509	0.352509	NUM
ejpam-194	174	23	,	,	PUNCT
ejpam-194	174	24	0.693147	0.693147	NUM
ejpam-194	174	25	,	,	PUNCT
ejpam-194	174	26	1.21376	1.21376	NUM
ejpam-194	174	27	,	,	PUNCT
ejpam-194	174	28	2.04612	2.04612	NUM
ejpam-194	174	29	,	,	PUNCT
ejpam-194	174	30	3.67119	3.67119	NUM
ejpam-194	174	31	.	.	PUNCT
ejpam-194	175	1	the	the	DET
ejpam-194	175	2	material	material	NOUN
ejpam-194	175	3	chosen	choose	VERB
ejpam-194	175	4	for	for	ADP
ejpam-194	175	5	numerical	numerical	ADJ
ejpam-194	175	6	evaluation	evaluation	NOUN
ejpam-194	175	7	is	be	AUX
ejpam-194	175	8	copper	copper	NOUN
ejpam-194	175	9	.	.	PUNCT
ejpam-194	176	1	the	the	DET
ejpam-194	176	2	physical	physical	ADJ
ejpam-194	176	3	data	datum	NOUN
ejpam-194	176	4	for	for	ADP
ejpam-194	176	5	copper	copper	NOUN
ejpam-194	176	6	are	be	AUX
ejpam-194	176	7	taken	take	VERB
ejpam-194	176	8	as	as	ADP
ejpam-194	176	9	[	[	X
ejpam-194	176	10	11	11	NUM
ejpam-194	176	11	]	]	PUNCT
ejpam-194	176	12	ρ	ρ	PROPN
ejpam-194	176	13	=	=	SYM
ejpam-194	176	14	8.96gm	8.96gm	NUM
ejpam-194	176	15	/	/	SYM
ejpam-194	176	16	cm3	cm3	NOUN
ejpam-194	176	17	,	,	PUNCT
ejpam-194	176	18	ε=	ε=	ADV
ejpam-194	176	19	0.0168	0.0168	NUM
ejpam-194	176	20	,	,	PUNCT
ejpam-194	176	21	λ	λ	X
ejpam-194	176	22	=	=	SYM
ejpam-194	176	23	1.387×	1.387×	NUM
ejpam-194	176	24	1012d	1012d	NUM
ejpam-194	176	25	y	y	PROPN
ejpam-194	176	26	/	/	SYM
ejpam-194	176	27	cm2	cm2	PROPN
ejpam-194	176	28	,	,	PUNCT
ejpam-194	176	29	µ	µ	X
ejpam-194	176	30	=	=	X
ejpam-194	176	31	.448×	.448×	SYM
ejpam-194	176	32	1012d	1012d	NUM
ejpam-194	176	33	y	y	NOUN
ejpam-194	176	34	/	/	SYM
ejpam-194	176	35	cm2	cm2	NOUN
ejpam-194	176	36	,	,	PUNCT
ejpam-194	176	37	and	and	CCONJ
ejpam-194	176	38	the	the	DET
ejpam-194	176	39	hypothetical	hypothetical	ADJ
ejpam-194	176	40	values	value	NOUN
ejpam-194	176	41	of	of	ADP
ejpam-194	176	42	relaxation	relaxation	NOUN
ejpam-194	176	43	time	time	NOUN
ejpam-194	176	44	parameters	parameter	NOUN
ejpam-194	176	45	and	and	CCONJ
ejpam-194	176	46	material	material	NOUN
ejpam-194	176	47	parameters	parameter	NOUN
ejpam-194	176	48	ct	ct	PROPN
ejpam-194	176	49	and	and	CCONJ
ejpam-194	176	50	ck	ck	PROPN
ejpam-194	176	51	are	be	AUX
ejpam-194	176	52	taken	take	VERB
ejpam-194	176	53	as	as	ADP
ejpam-194	176	54	α=	α=	NUM
ejpam-194	176	55	2.0×	2.0×	NUM
ejpam-194	176	56	10−13sec	10−13sec	NUM
ejpam-194	176	57	,	,	PUNCT
ejpam-194	176	58	α∗	α∗	VERB
ejpam-194	176	59	=	=	PUNCT
ejpam-194	176	60	1.0×	1.0×	NUM
ejpam-194	176	61	10−13sec	10−13sec	NUM
ejpam-194	176	62	,	,	PUNCT
ejpam-194	176	63	ct	ct	NOUN
ejpam-194	176	64	=	=	SYM
ejpam-194	176	65	2	2	NUM
ejpam-194	176	66	a.	a.	NOUN
ejpam-194	176	67	kar	kar	NOUN
ejpam-194	176	68	and	and	CCONJ
ejpam-194	176	69	m.	m.	PROPN
ejpam-194	176	70	kanoria	kanoria	PROPN
ejpam-194	176	71	/	/	SYM
ejpam-194	176	72	eur	eur	PROPN
ejpam-194	176	73	.	.	PUNCT
ejpam-194	177	1	j.	j.	PROPN
ejpam-194	177	2	pure	pure	PROPN
ejpam-194	177	3	appl	appl	PROPN
ejpam-194	177	4	.	.	PROPN
ejpam-194	177	5	math	math	PROPN
ejpam-194	177	6	,	,	PUNCT
ejpam-194	177	7	2	2	NUM
ejpam-194	177	8	(	(	PUNCT
ejpam-194	177	9	2009	2009	NUM
ejpam-194	177	10	)	)	PUNCT
ejpam-194	177	11	,	,	PUNCT
ejpam-194	177	12	(	(	PUNCT
ejpam-194	177	13	125	125	NUM
ejpam-194	177	14	-	-	SYM
ejpam-194	177	15	146	146	NUM
ejpam-194	177	16	)	)	PUNCT
ejpam-194	177	17	138	138	NUM
ejpam-194	177	18	and	and	CCONJ
ejpam-194	177	19	ck	ck	NOUN
ejpam-194	178	1	=	=	ADJ
ejpam-194	178	2	1.2	1.2	NUM
ejpam-194	178	3	.	.	PUNCT
ejpam-194	179	1	the	the	DET
ejpam-194	179	2	results	result	NOUN
ejpam-194	179	3	of	of	ADP
ejpam-194	179	4	the	the	DET
ejpam-194	179	5	numerical	numerical	ADJ
ejpam-194	179	6	evaluation	evaluation	NOUN
ejpam-194	179	7	of	of	ADP
ejpam-194	179	8	the	the	DET
ejpam-194	179	9	thermo	thermo	NOUN
ejpam-194	179	10	-	-	PUNCT
ejpam-194	179	11	elastic	elastic	ADJ
ejpam-194	179	12	stress	stress	NOUN
ejpam-194	179	13	variations	variation	NOUN
ejpam-194	179	14	,	,	PUNCT
ejpam-194	179	15	temperature	temperature	NOUN
ejpam-194	179	16	distribution	distribution	NOUN
ejpam-194	179	17	and	and	CCONJ
ejpam-194	179	18	displacement	displacement	NOUN
ejpam-194	179	19	are	be	AUX
ejpam-194	179	20	illustrated	illustrate	VERB
ejpam-194	179	21	in	in	ADP
ejpam-194	179	22	figs	fig	NOUN
ejpam-194	179	23	.	.	PUNCT
ejpam-194	180	1	1	1	NUM
ejpam-194	180	2	to	to	PART
ejpam-194	180	3	6	6	NUM
ejpam-194	180	4	.	.	PUNCT
ejpam-194	181	1	the	the	DET
ejpam-194	181	2	magnitudes	magnitude	NOUN
ejpam-194	181	3	of	of	ADP
ejpam-194	181	4	the	the	DET
ejpam-194	181	5	variation	variation	NOUN
ejpam-194	181	6	of	of	ADP
ejpam-194	181	7	stresses	stress	NOUN
ejpam-194	181	8	,	,	PUNCT
ejpam-194	181	9	temperature	temperature	NOUN
ejpam-194	181	10	and	and	CCONJ
ejpam-194	181	11	displacement	displacement	NOUN
ejpam-194	181	12	are	be	AUX
ejpam-194	181	13	observed	observe	VERB
ejpam-194	181	14	when	when	SCONJ
ejpam-194	181	15	the	the	DET
ejpam-194	181	16	step	step	NOUN
ejpam-194	181	17	input	input	NOUN
ejpam-194	181	18	of	of	ADP
ejpam-194	181	19	temperatures	temperature	NOUN
ejpam-194	181	20	χ1	χ1	VERB
ejpam-194	181	21	=	=	SYM
ejpam-194	181	22	5	5	NUM
ejpam-194	181	23	and	and	CCONJ
ejpam-194	181	24	χ2	χ2	NOUN
ejpam-194	181	25	=	=	PUNCT
ejpam-194	181	26	3	3	NUM
ejpam-194	181	27	are	be	AUX
ejpam-194	181	28	applied	apply	VERB
ejpam-194	181	29	on	on	ADP
ejpam-194	181	30	the	the	DET
ejpam-194	181	31	inner	inner	ADJ
ejpam-194	181	32	boundary	boundary	ADJ
ejpam-194	181	33	r=1	r=1	NOUN
ejpam-194	181	34	and	and	CCONJ
ejpam-194	181	35	outer	outer	ADJ
ejpam-194	181	36	boundary	boundary	ADJ
ejpam-194	181	37	s=4	s=4	PROPN
ejpam-194	181	38	of	of	ADP
ejpam-194	181	39	the	the	DET
ejpam-194	181	40	shell	shell	NOUN
ejpam-194	181	41	respectively	respectively	ADV
ejpam-194	181	42	in	in	ADP
ejpam-194	181	43	all	all	DET
ejpam-194	181	44	theories	theory	NOUN
ejpam-194	181	45	(	(	PUNCT
ejpam-194	181	46	cte	cte	NOUN
ejpam-194	181	47	,	,	PUNCT
ejpam-194	181	48	ccte	ccte	NOUN
ejpam-194	181	49	,	,	PUNCT
ejpam-194	181	50	trdte(gl	trdte(gl	PROPN
ejpam-194	181	51	)	)	PUNCT
ejpam-194	181	52	,	,	PUNCT
ejpam-194	181	53	tewoed(gn	tewoed(gn	PROPN
ejpam-194	181	54	-	-	PUNCT
ejpam-194	181	55	ii	ii	NOUN
ejpam-194	181	56	)	)	PUNCT
ejpam-194	181	57	and	and	CCONJ
ejpam-194	181	58	tewed(gniii	tewed(gniii	NUM
ejpam-194	181	59	)	)	PUNCT
ejpam-194	181	60	)	)	PUNCT
ejpam-194	181	61	.	.	PUNCT
ejpam-194	182	1	figs.1(a	figs.1(a	PROPN
ejpam-194	182	2	)	)	PUNCT
ejpam-194	182	3	and	and	CCONJ
ejpam-194	182	4	1(b	1(b	NUM
ejpam-194	182	5	)	)	PUNCT
ejpam-194	182	6	show	show	VERB
ejpam-194	182	7	the	the	DET
ejpam-194	182	8	radial	radial	ADJ
ejpam-194	182	9	stress	stress	NOUN
ejpam-194	182	10	σr	σr	NOUN
ejpam-194	182	11	against	against	ADP
ejpam-194	182	12	radial	radial	ADJ
ejpam-194	182	13	distance	distance	NOUN
ejpam-194	182	14	r	r	NOUN
ejpam-194	182	15	for	for	ADP
ejpam-194	182	16	time	time	NOUN
ejpam-194	182	17	η=.69	η=.69	NOUN
ejpam-194	182	18	and	and	CCONJ
ejpam-194	182	19	.026	.026	NUM
ejpam-194	182	20	respectively	respectively	ADV
ejpam-194	182	21	.	.	PUNCT
ejpam-194	183	1	in	in	ADP
ejpam-194	183	2	fig.1(a	fig.1(a	NOUN
ejpam-194	183	3	)	)	PUNCT
ejpam-194	183	4	it	it	PRON
ejpam-194	183	5	is	be	AUX
ejpam-194	183	6	observed	observe	VERB
ejpam-194	183	7	that	that	SCONJ
ejpam-194	183	8	the	the	DET
ejpam-194	183	9	qualitative	qualitative	ADJ
ejpam-194	183	10	behavior	behavior	NOUN
ejpam-194	183	11	of	of	ADP
ejpam-194	183	12	cte	cte	PROPN
ejpam-194	183	13	,	,	PUNCT
ejpam-194	183	14	ccte	ccte	PROPN
ejpam-194	183	15	,	,	PUNCT
ejpam-194	183	16	gl	gl	NOUN
ejpam-194	183	17	and	and	CCONJ
ejpam-194	183	18	gn	gn	PROPN
ejpam-194	183	19	-	-	PUNCT
ejpam-194	183	20	iii	iii	NUM
ejpam-194	183	21	models	model	NOUN
ejpam-194	183	22	are	be	AUX
ejpam-194	183	23	almost	almost	ADV
ejpam-194	183	24	the	the	DET
ejpam-194	183	25	same	same	ADJ
ejpam-194	183	26	.	.	PUNCT
ejpam-194	184	1	but	but	CCONJ
ejpam-194	184	2	in	in	ADP
ejpam-194	184	3	gn	gn	PROPN
ejpam-194	184	4	-	-	PUNCT
ejpam-194	184	5	ii	ii	PROPN
ejpam-194	184	6	model	model	NOUN
ejpam-194	184	7	oscillatory	oscillatory	ADJ
ejpam-194	184	8	nature	nature	NOUN
ejpam-194	184	9	is	be	AUX
ejpam-194	184	10	observed	observe	VERB
ejpam-194	184	11	.	.	PUNCT
ejpam-194	185	1	this	this	PRON
ejpam-194	185	2	is	be	AUX
ejpam-194	185	3	due	due	ADJ
ejpam-194	185	4	to	to	ADP
ejpam-194	185	5	the	the	DET
ejpam-194	185	6	rapid	rapid	ADJ
ejpam-194	185	7	reflection	reflection	NOUN
ejpam-194	185	8	of	of	ADP
ejpam-194	185	9	stress	stress	NOUN
ejpam-194	185	10	wave	wave	NOUN
ejpam-194	185	11	from	from	ADP
ejpam-194	185	12	outer	outer	ADJ
ejpam-194	185	13	boundary	boundary	NOUN
ejpam-194	185	14	to	to	ADP
ejpam-194	185	15	inner	inner	ADJ
ejpam-194	185	16	boundary	boundary	NOUN
ejpam-194	185	17	,	,	PUNCT
ejpam-194	185	18	since	since	SCONJ
ejpam-194	185	19	there	there	PRON
ejpam-194	185	20	is	be	VERB
ejpam-194	185	21	no	no	DET
ejpam-194	185	22	energy	energy	NOUN
ejpam-194	185	23	dissipation	dissipation	NOUN
ejpam-194	185	24	in	in	ADP
ejpam-194	185	25	this	this	DET
ejpam-194	185	26	theory	theory	NOUN
ejpam-194	185	27	.	.	PUNCT
ejpam-194	186	1	in	in	ADP
ejpam-194	186	2	fig.1(b	fig.1(b	NOUN
ejpam-194	186	3	)	)	PUNCT
ejpam-194	186	4	,	,	PUNCT
ejpam-194	186	5	when	when	SCONJ
ejpam-194	186	6	time	time	NOUN
ejpam-194	186	7	is	be	AUX
ejpam-194	186	8	small	small	ADJ
ejpam-194	186	9	(	(	PUNCT
ejpam-194	186	10	η	η	PROPN
ejpam-194	186	11	=	=	PROPN
ejpam-194	186	12	.026	.026	NUM
ejpam-194	186	13	)	)	PUNCT
ejpam-194	187	1	i	i	PRON
ejpam-194	187	2	,	,	PUNCT
ejpam-194	187	3	e	e	NOUN
ejpam-194	187	4	,	,	PUNCT
ejpam-194	187	5	at	at	ADP
ejpam-194	187	6	early	early	ADJ
ejpam-194	187	7	stage	stage	NOUN
ejpam-194	187	8	of	of	ADP
ejpam-194	187	9	wave	wave	NOUN
ejpam-194	187	10	propagation	propagation	NOUN
ejpam-194	187	11	all	all	DET
ejpam-194	187	12	the	the	DET
ejpam-194	187	13	models	model	NOUN
ejpam-194	187	14	except	except	SCONJ
ejpam-194	187	15	gn	gn	PROPN
ejpam-194	187	16	-	-	PUNCT
ejpam-194	187	17	ii	ii	PROPN
ejpam-194	187	18	model	model	NOUN
ejpam-194	187	19	give	give	VERB
ejpam-194	187	20	close	close	ADJ
ejpam-194	187	21	results	result	NOUN
ejpam-194	187	22	,	,	PUNCT
ejpam-194	187	23	whereas	whereas	SCONJ
ejpam-194	187	24	for	for	ADP
ejpam-194	187	25	advanced	advanced	ADJ
ejpam-194	187	26	time	time	NOUN
ejpam-194	187	27	(	(	PUNCT
ejpam-194	187	28	fig.1(a	fig.1(a	NOUN
ejpam-194	187	29	)	)	PUNCT
ejpam-194	187	30	)	)	PUNCT
ejpam-194	188	1	the	the	DET
ejpam-194	188	2	wave	wave	NOUN
ejpam-194	188	3	propagates	propagate	VERB
ejpam-194	188	4	with	with	ADP
ejpam-194	188	5	different	different	ADJ
ejpam-194	188	6	speeds	speed	NOUN
ejpam-194	188	7	.	.	PUNCT
ejpam-194	189	1	the	the	DET
ejpam-194	189	2	boundary	boundary	ADJ
ejpam-194	189	3	conditions	condition	NOUN
ejpam-194	189	4	on	on	ADP
ejpam-194	189	5	the	the	DET
ejpam-194	189	6	boundaries	boundary	NOUN
ejpam-194	189	7	of	of	ADP
ejpam-194	189	8	the	the	DET
ejpam-194	189	9	shell	shell	NOUN
ejpam-194	189	10	are	be	AUX
ejpam-194	189	11	found	find	VERB
ejpam-194	189	12	to	to	PART
ejpam-194	189	13	be	be	AUX
ejpam-194	189	14	satisfied	satisfied	ADJ
ejpam-194	189	15	numerically	numerically	ADV
ejpam-194	189	16	.	.	PUNCT
ejpam-194	190	1	this	this	PRON
ejpam-194	190	2	is	be	AUX
ejpam-194	190	3	consistent	consistent	ADJ
ejpam-194	190	4	with	with	ADP
ejpam-194	190	5	our	our	PRON
ejpam-194	190	6	theoretical	theoretical	ADJ
ejpam-194	190	7	results	result	NOUN
ejpam-194	190	8	.	.	PUNCT
ejpam-194	191	1	figs.2(a	figs.2(a	X
ejpam-194	191	2	)	)	PUNCT
ejpam-194	191	3	and	and	CCONJ
ejpam-194	191	4	2(b	2(b	NUM
ejpam-194	191	5	)	)	PUNCT
ejpam-194	191	6	are	be	AUX
ejpam-194	191	7	plotted	plot	VERB
ejpam-194	191	8	for	for	ADP
ejpam-194	191	9	hoop	hoop	NOUN
ejpam-194	191	10	stress	stress	NOUN
ejpam-194	191	11	σθ	σθ	NOUN
ejpam-194	191	12	against	against	ADP
ejpam-194	191	13	radial	radial	ADJ
ejpam-194	191	14	distance	distance	NOUN
ejpam-194	191	15	r	r	NOUN
ejpam-194	191	16	for	for	ADP
ejpam-194	191	17	time	time	NOUN
ejpam-194	191	18	η=	η=	NOUN
ejpam-194	191	19	.69	.69	NUM
ejpam-194	191	20	and	and	CCONJ
ejpam-194	191	21	.026	.026	NUM
ejpam-194	191	22	respectively	respectively	ADV
ejpam-194	191	23	for	for	ADP
ejpam-194	191	24	all	all	DET
ejpam-194	191	25	the	the	DET
ejpam-194	191	26	models	model	NOUN
ejpam-194	191	27	.	.	PUNCT
ejpam-194	192	1	it	it	PRON
ejpam-194	192	2	is	be	AUX
ejpam-194	192	3	clear	clear	ADJ
ejpam-194	192	4	from	from	ADP
ejpam-194	192	5	fig.2(a	fig.2(a	NOUN
ejpam-194	192	6	)	)	PUNCT
ejpam-194	192	7	that	that	SCONJ
ejpam-194	192	8	the	the	DET
ejpam-194	192	9	maximum	maximum	PROPN
ejpam-194	192	10	stress	stress	NOUN
ejpam-194	192	11	occurs	occur	VERB
ejpam-194	192	12	near	near	ADP
ejpam-194	192	13	the	the	DET
ejpam-194	192	14	inner	inner	ADJ
ejpam-194	192	15	boundary	boundary	NOUN
ejpam-194	192	16	and	and	CCONJ
ejpam-194	192	17	almost	almost	ADV
ejpam-194	192	18	oscillatory	oscillatory	ADJ
ejpam-194	192	19	nature	nature	NOUN
ejpam-194	192	20	are	be	AUX
ejpam-194	192	21	observed	observe	VERB
ejpam-194	192	22	for	for	ADP
ejpam-194	192	23	all	all	DET
ejpam-194	192	24	the	the	DET
ejpam-194	192	25	models	model	NOUN
ejpam-194	192	26	for	for	ADP
ejpam-194	192	27	time	time	NOUN
ejpam-194	192	28	η	η	X
ejpam-194	192	29	=	=	PROPN
ejpam-194	192	30	.69	.69	NUM
ejpam-194	192	31	,	,	PUNCT
ejpam-194	192	32	whereas	whereas	SCONJ
ejpam-194	192	33	for	for	ADP
ejpam-194	192	34	small	small	ADJ
ejpam-194	192	35	time	time	NOUN
ejpam-194	192	36	η	η	PROPN
ejpam-194	192	37	=	=	PROPN
ejpam-194	192	38	.026	.026	NUM
ejpam-194	192	39	i	i	PROPN
ejpam-194	192	40	,	,	PUNCT
ejpam-194	192	41	e	e	NOUN
ejpam-194	192	42	,	,	PUNCT
ejpam-194	192	43	at	at	ADP
ejpam-194	192	44	the	the	DET
ejpam-194	192	45	early	early	ADJ
ejpam-194	192	46	stage	stage	NOUN
ejpam-194	192	47	the	the	DET
ejpam-194	192	48	maximum	maximum	ADJ
ejpam-194	192	49	stress	stress	NOUN
ejpam-194	192	50	occurs	occur	VERB
ejpam-194	192	51	near	near	ADP
ejpam-194	192	52	the	the	DET
ejpam-194	192	53	boundaries	boundary	NOUN
ejpam-194	192	54	and	and	CCONJ
ejpam-194	192	55	almost	almost	ADV
ejpam-194	192	56	zero	zero	NUM
ejpam-194	192	57	in	in	ADP
ejpam-194	192	58	the	the	DET
ejpam-194	192	59	interior	interior	NOUN
ejpam-194	192	60	of	of	ADP
ejpam-194	192	61	the	the	DET
ejpam-194	192	62	shell	shell	NOUN
ejpam-194	192	63	for	for	ADP
ejpam-194	192	64	cte	cte	NOUN
ejpam-194	192	65	,	,	PUNCT
ejpam-194	192	66	ccte	ccte	NOUN
ejpam-194	192	67	,	,	PUNCT
ejpam-194	192	68	gl	gl	NOUN
ejpam-194	192	69	and	and	CCONJ
ejpam-194	192	70	gn	gn	PROPN
ejpam-194	192	71	-	-	PUNCT
ejpam-194	192	72	iii	iii	PROPN
ejpam-194	192	73	except	except	SCONJ
ejpam-194	192	74	in	in	ADP
ejpam-194	192	75	the	the	DET
ejpam-194	192	76	case	case	NOUN
ejpam-194	192	77	of	of	ADP
ejpam-194	192	78	gn	gn	PROPN
ejpam-194	192	79	-	-	PUNCT
ejpam-194	192	80	ii	ii	PROPN
ejpam-194	192	81	model	model	NOUN
ejpam-194	192	82	,	,	PUNCT
ejpam-194	192	83	where	where	SCONJ
ejpam-194	192	84	the	the	DET
ejpam-194	192	85	oscillatory	oscillatory	ADJ
ejpam-194	192	86	nature	nature	NOUN
ejpam-194	192	87	becomes	become	VERB
ejpam-194	192	88	more	more	ADV
ejpam-194	192	89	prominent	prominent	ADJ
ejpam-194	192	90	near	near	ADP
ejpam-194	192	91	the	the	DET
ejpam-194	192	92	boundaries	boundary	NOUN
ejpam-194	192	93	.	.	PUNCT
ejpam-194	193	1	figs.3	figs.3	NOUN
ejpam-194	193	2	and	and	CCONJ
ejpam-194	193	3	4	4	NUM
ejpam-194	193	4	depict	depict	NOUN
ejpam-194	193	5	σr	σr	NOUN
ejpam-194	193	6	and	and	CCONJ
ejpam-194	193	7	σθ	σθ	PROPN
ejpam-194	193	8	versus	versus	ADP
ejpam-194	193	9	time	time	PROPN
ejpam-194	193	10	η	η	PROPN
ejpam-194	193	11	for	for	ADP
ejpam-194	193	12	r=	r=	ADJ
ejpam-194	193	13	1.5	1.5	NUM
ejpam-194	193	14	respectively	respectively	ADV
ejpam-194	193	15	.	.	PUNCT
ejpam-194	194	1	it	it	PRON
ejpam-194	194	2	is	be	AUX
ejpam-194	194	3	seen	see	VERB
ejpam-194	194	4	that	that	SCONJ
ejpam-194	194	5	the	the	DET
ejpam-194	194	6	stress	stress	NOUN
ejpam-194	194	7	waves	wave	NOUN
ejpam-194	194	8	propagate	propagate	VERB
ejpam-194	194	9	with	with	ADP
ejpam-194	194	10	time	time	NOUN
ejpam-194	194	11	and	and	CCONJ
ejpam-194	194	12	magnitude	magnitude	NOUN
ejpam-194	194	13	of	of	ADP
ejpam-194	194	14	both	both	CCONJ
ejpam-194	194	15	the	the	DET
ejpam-194	194	16	stresses	stress	NOUN
ejpam-194	194	17	in	in	ADP
ejpam-194	194	18	gn	gn	PROPN
ejpam-194	194	19	-	-	PUNCT
ejpam-194	194	20	ii	ii	PROPN
ejpam-194	194	21	model	model	NOUN
ejpam-194	194	22	are	be	AUX
ejpam-194	194	23	large	large	ADJ
ejpam-194	194	24	in	in	ADP
ejpam-194	194	25	comparison	comparison	NOUN
ejpam-194	194	26	with	with	ADP
ejpam-194	194	27	other	other	ADJ
ejpam-194	194	28	models	model	NOUN
ejpam-194	194	29	.	.	PUNCT
ejpam-194	195	1	fig.5	fig.5	NOUN
ejpam-194	195	2	shows	show	VERB
ejpam-194	195	3	the	the	DET
ejpam-194	195	4	graphs	graph	NOUN
ejpam-194	195	5	of	of	ADP
ejpam-194	195	6	temperature	temperature	NOUN
ejpam-194	195	7	distribution	distribution	NOUN
ejpam-194	195	8	(	(	PUNCT
ejpam-194	195	9	θ	θ	NOUN
ejpam-194	195	10	)	)	PUNCT
ejpam-194	195	11	with	with	ADP
ejpam-194	195	12	the	the	DET
ejpam-194	195	13	radial	radial	ADJ
ejpam-194	195	14	distance	distance	NOUN
ejpam-194	195	15	r	r	NOUN
ejpam-194	195	16	for	for	ADP
ejpam-194	195	17	fixed	fix	VERB
ejpam-194	195	18	time	time	NOUN
ejpam-194	195	19	η	η	PROPN
ejpam-194	195	20	=	=	PROPN
ejpam-194	195	21	.69	.69	NUM
ejpam-194	195	22	.	.	PUNCT
ejpam-194	196	1	all	all	DET
ejpam-194	196	2	the	the	DET
ejpam-194	196	3	profiles	profile	NOUN
ejpam-194	196	4	except	except	SCONJ
ejpam-194	196	5	gn	gn	PROPN
ejpam-194	196	6	-	-	PUNCT
ejpam-194	196	7	ii	ii	PROPN
ejpam-194	196	8	model	model	NOUN
ejpam-194	196	9	are	be	AUX
ejpam-194	196	10	found	find	VERB
ejpam-194	196	11	to	to	PART
ejpam-194	196	12	be	be	AUX
ejpam-194	196	13	convex	convex	ADJ
ejpam-194	196	14	upwards	upwards	ADV
ejpam-194	196	15	with	with	ADP
ejpam-194	196	16	respect	respect	NOUN
ejpam-194	196	17	to	to	ADP
ejpam-194	196	18	the	the	DET
ejpam-194	196	19	r	r	NOUN
ejpam-194	196	20	-	-	PUNCT
ejpam-194	196	21	axis	axis	NOUN
ejpam-194	196	22	,	,	PUNCT
ejpam-194	196	23	and	and	CCONJ
ejpam-194	196	24	the	the	DET
ejpam-194	196	25	magnitude	magnitude	NOUN
ejpam-194	196	26	of	of	ADP
ejpam-194	196	27	temperature	temperature	NOUN
ejpam-194	196	28	distribution	distribution	NOUN
ejpam-194	196	29	in	in	ADP
ejpam-194	196	30	gn	gn	PROPN
ejpam-194	196	31	-	-	PUNCT
ejpam-194	196	32	iii	iii	PROPN
ejpam-194	196	33	model	model	NOUN
ejpam-194	196	34	is	be	AUX
ejpam-194	196	35	observed	observe	VERB
ejpam-194	196	36	to	to	PART
ejpam-194	196	37	be	be	AUX
ejpam-194	196	38	greater	great	ADJ
ejpam-194	196	39	than	than	ADP
ejpam-194	196	40	that	that	PRON
ejpam-194	196	41	of	of	ADP
ejpam-194	196	42	the	the	DET
ejpam-194	196	43	other	other	ADJ
ejpam-194	196	44	models	model	NOUN
ejpam-194	196	45	(	(	PUNCT
ejpam-194	196	46	cte	cte	NOUN
ejpam-194	196	47	,	,	PUNCT
ejpam-194	196	48	ccte	ccte	NOUN
ejpam-194	196	49	and	and	CCONJ
ejpam-194	196	50	gl	gl	NOUN
ejpam-194	196	51	)	)	PUNCT
ejpam-194	196	52	.	.	PUNCT
ejpam-194	197	1	this	this	PRON
ejpam-194	197	2	is	be	AUX
ejpam-194	197	3	due	due	ADJ
ejpam-194	197	4	to	to	ADP
ejpam-194	197	5	the	the	DET
ejpam-194	197	6	fact	fact	NOUN
ejpam-194	197	7	that	that	SCONJ
ejpam-194	197	8	the	the	DET
ejpam-194	197	9	term	term	NOUN
ejpam-194	197	10	a.	a.	NOUN
ejpam-194	197	11	kar	kar	PROPN
ejpam-194	197	12	and	and	CCONJ
ejpam-194	197	13	m.	m.	PROPN
ejpam-194	197	14	kanoria	kanoria	PROPN
ejpam-194	197	15	/	/	SYM
ejpam-194	197	16	eur	eur	PROPN
ejpam-194	197	17	.	.	PUNCT
ejpam-194	198	1	j.	j.	PROPN
ejpam-194	198	2	pure	pure	PROPN
ejpam-194	198	3	appl	appl	PROPN
ejpam-194	198	4	.	.	PROPN
ejpam-194	198	5	math	math	PROPN
ejpam-194	198	6	,	,	PUNCT
ejpam-194	198	7	2	2	NUM
ejpam-194	198	8	(	(	PUNCT
ejpam-194	198	9	2009	2009	NUM
ejpam-194	198	10	)	)	PUNCT
ejpam-194	198	11	,	,	PUNCT
ejpam-194	198	12	(	(	PUNCT
ejpam-194	198	13	125	125	NUM
ejpam-194	198	14	-	-	SYM
ejpam-194	198	15	146	146	NUM
ejpam-194	198	16	)	)	PUNCT
ejpam-194	198	17	139	139	NUM
ejpam-194	198	18	involving	involve	VERB
ejpam-194	198	19	thermal	thermal	ADJ
ejpam-194	198	20	wave	wave	NOUN
ejpam-194	198	21	velocity	velocity	NOUN
ejpam-194	198	22	(	(	PUNCT
ejpam-194	198	23	ct	ct	NOUN
ejpam-194	198	24	)	)	PUNCT
ejpam-194	198	25	is	be	AUX
ejpam-194	198	26	present	present	ADJ
ejpam-194	198	27	in	in	ADP
ejpam-194	198	28	the	the	DET
ejpam-194	198	29	gn	gn	PROPN
ejpam-194	198	30	-	-	PUNCT
ejpam-194	198	31	iii	iii	PROPN
ejpam-194	198	32	model	model	NOUN
ejpam-194	198	33	.	.	PUNCT
ejpam-194	199	1	the	the	DET
ejpam-194	199	2	profile	profile	NOUN
ejpam-194	199	3	associated	associate	VERB
ejpam-194	199	4	with	with	ADP
ejpam-194	199	5	gn	gn	PROPN
ejpam-194	199	6	-	-	PUNCT
ejpam-194	199	7	ii	ii	PROPN
ejpam-194	199	8	model	model	NOUN
ejpam-194	199	9	appears	appear	VERB
ejpam-194	199	10	to	to	PART
ejpam-194	199	11	be	be	AUX
ejpam-194	199	12	oscillatory	oscillatory	ADJ
ejpam-194	199	13	in	in	ADP
ejpam-194	199	14	the	the	DET
ejpam-194	199	15	region	region	NOUN
ejpam-194	199	16	1	1	NUM
ejpam-194	199	17	≤	≤	NOUN
ejpam-194	199	18	r	r	NOUN
ejpam-194	199	19	≤	≤	NUM
ejpam-194	199	20	4	4	NUM
ejpam-194	199	21	,	,	PUNCT
ejpam-194	199	22	as	as	SCONJ
ejpam-194	199	23	in	in	ADP
ejpam-194	199	24	this	this	DET
ejpam-194	199	25	case	case	NOUN
ejpam-194	199	26	there	there	PRON
ejpam-194	199	27	is	be	VERB
ejpam-194	199	28	no	no	DET
ejpam-194	199	29	damping	damp	VERB
ejpam-194	199	30	term	term	NOUN
ejpam-194	199	31	(	(	PUNCT
ejpam-194	199	32	ck	ck	NOUN
ejpam-194	199	33	)	)	PUNCT
ejpam-194	199	34	present	present	NOUN
ejpam-194	199	35	in	in	ADP
ejpam-194	199	36	the	the	DET
ejpam-194	199	37	expression	expression	NOUN
ejpam-194	199	38	of	of	ADP
ejpam-194	199	39	temperature	temperature	NOUN
ejpam-194	199	40	distribution	distribution	NOUN
ejpam-194	199	41	.	.	PUNCT
ejpam-194	200	1	it	it	PRON
ejpam-194	200	2	is	be	AUX
ejpam-194	200	3	also	also	ADV
ejpam-194	200	4	to	to	PART
ejpam-194	200	5	be	be	AUX
ejpam-194	200	6	seen	see	VERB
ejpam-194	200	7	that	that	SCONJ
ejpam-194	200	8	the	the	DET
ejpam-194	200	9	boundary	boundary	ADJ
ejpam-194	200	10	conditions	condition	NOUN
ejpam-194	200	11	are	be	AUX
ejpam-194	200	12	satisfied	satisfied	ADJ
ejpam-194	200	13	on	on	ADP
ejpam-194	200	14	the	the	DET
ejpam-194	200	15	boundaries	boundary	NOUN
ejpam-194	200	16	(	(	PUNCT
ejpam-194	200	17	χ1	χ1	NOUN
ejpam-194	200	18	=	=	SYM
ejpam-194	200	19	5	5	NUM
ejpam-194	200	20	on	on	ADP
ejpam-194	200	21	r=1	r=1	NOUN
ejpam-194	200	22	and	and	CCONJ
ejpam-194	200	23	χ2	χ2	NOUN
ejpam-194	200	24	=	=	PUNCT
ejpam-194	200	25	3	3	NUM
ejpam-194	200	26	on	on	ADP
ejpam-194	200	27	s	s	NOUN
ejpam-194	200	28	=	=	NOUN
ejpam-194	200	29	4	4	NUM
ejpam-194	200	30	)	)	PUNCT
ejpam-194	200	31	.	.	PUNCT
ejpam-194	201	1	which	which	PRON
ejpam-194	201	2	are	be	AUX
ejpam-194	201	3	in	in	ADP
ejpam-194	201	4	agreement	agreement	NOUN
ejpam-194	201	5	with	with	ADP
ejpam-194	201	6	our	our	PRON
ejpam-194	201	7	theoretical	theoretical	ADJ
ejpam-194	201	8	results	result	NOUN
ejpam-194	201	9	.	.	PUNCT
ejpam-194	202	1	fig.6	fig.6	PROPN
ejpam-194	202	2	is	be	AUX
ejpam-194	202	3	plotted	plot	VERB
ejpam-194	202	4	for	for	ADP
ejpam-194	202	5	radial	radial	ADJ
ejpam-194	202	6	variation	variation	NOUN
ejpam-194	202	7	of	of	ADP
ejpam-194	202	8	the	the	DET
ejpam-194	202	9	displacement	displacement	NOUN
ejpam-194	202	10	for	for	ADP
ejpam-194	202	11	fixed	fix	VERB
ejpam-194	202	12	time	time	NOUN
ejpam-194	202	13	η	η	PROPN
ejpam-194	202	14	=	=	PROPN
ejpam-194	202	15	.69	.69	NUM
ejpam-194	202	16	.	.	PUNCT
ejpam-194	203	1	almost	almost	ADV
ejpam-194	203	2	similar	similar	ADJ
ejpam-194	203	3	behaviors	behavior	NOUN
ejpam-194	203	4	are	be	AUX
ejpam-194	203	5	observed	observe	VERB
ejpam-194	203	6	in	in	ADP
ejpam-194	203	7	all	all	DET
ejpam-194	203	8	the	the	DET
ejpam-194	203	9	theories	theory	NOUN
ejpam-194	203	10	.	.	PUNCT
ejpam-194	204	1	now	now	ADV
ejpam-194	204	2	figs	fig	NOUN
ejpam-194	204	3	.	.	PUNCT
ejpam-194	205	1	7	7	NUM
ejpam-194	205	2	-	-	SYM
ejpam-194	205	3	11	11	NUM
ejpam-194	205	4	depicts	depict	VERB
ejpam-194	205	5	σr	σr	ADV
ejpam-194	205	6	versus	versus	ADP
ejpam-194	205	7	r	r	NOUN
ejpam-194	205	8	for	for	ADP
ejpam-194	205	9	fixed	fix	VERB
ejpam-194	205	10	time	time	NOUN
ejpam-194	205	11	η	η	PROPN
ejpam-194	205	12	=	=	PROPN
ejpam-194	205	13	.69	.69	NUM
ejpam-194	205	14	with	with	ADP
ejpam-194	205	15	inner	inner	ADJ
ejpam-194	205	16	radius	radius	NOUN
ejpam-194	205	17	r	r	NOUN
ejpam-194	205	18	=	=	SYM
ejpam-194	205	19	1	1	NUM
ejpam-194	205	20	and	and	CCONJ
ejpam-194	205	21	different	different	ADJ
ejpam-194	205	22	outer	outer	ADJ
ejpam-194	205	23	radius	radius	NOUN
ejpam-194	205	24	s	s	PART
ejpam-194	205	25	=	=	SYM
ejpam-194	205	26	3	3	NUM
ejpam-194	205	27	,	,	PUNCT
ejpam-194	205	28	6	6	NUM
ejpam-194	205	29	,	,	PUNCT
ejpam-194	205	30	8	8	NUM
ejpam-194	205	31	,	,	PUNCT
ejpam-194	205	32	10	10	NUM
ejpam-194	205	33	and	and	CCONJ
ejpam-194	205	34	12	12	NUM
ejpam-194	205	35	for	for	ADP
ejpam-194	205	36	gniii	gniii	PROPN
ejpam-194	205	37	model	model	NOUN
ejpam-194	205	38	.	.	PUNCT
ejpam-194	206	1	it	it	PRON
ejpam-194	206	2	is	be	AUX
ejpam-194	206	3	observed	observe	VERB
ejpam-194	206	4	that	that	SCONJ
ejpam-194	206	5	as	as	SCONJ
ejpam-194	206	6	structural	structural	ADJ
ejpam-194	206	7	size	size	NOUN
ejpam-194	206	8	increases	increase	VERB
ejpam-194	206	9	the	the	DET
ejpam-194	206	10	radial	radial	ADJ
ejpam-194	206	11	stress	stress	NOUN
ejpam-194	206	12	confined	confine	VERB
ejpam-194	206	13	near	near	ADP
ejpam-194	206	14	the	the	DET
ejpam-194	206	15	boundaries	boundary	NOUN
ejpam-194	206	16	of	of	ADP
ejpam-194	206	17	the	the	DET
ejpam-194	206	18	hollow	hollow	ADJ
ejpam-194	206	19	sphere	sphere	NOUN
ejpam-194	206	20	where	where	SCONJ
ejpam-194	206	21	the	the	DET
ejpam-194	206	22	step	step	NOUN
ejpam-194	206	23	input	input	NOUN
ejpam-194	206	24	of	of	ADP
ejpam-194	206	25	temperatures	temperature	NOUN
ejpam-194	206	26	are	be	AUX
ejpam-194	206	27	applied	apply	VERB
ejpam-194	206	28	.	.	PUNCT
ejpam-194	207	1	which	which	PRON
ejpam-194	207	2	is	be	AUX
ejpam-194	207	3	physically	physically	ADV
ejpam-194	207	4	plausible	plausible	ADJ
ejpam-194	207	5	.	.	PUNCT
ejpam-194	208	1	it	it	PRON
ejpam-194	208	2	is	be	AUX
ejpam-194	208	3	also	also	ADV
ejpam-194	208	4	observed	observe	VERB
ejpam-194	208	5	that	that	SCONJ
ejpam-194	208	6	oscillations	oscillation	NOUN
ejpam-194	208	7	are	be	AUX
ejpam-194	208	8	accompanied	accompany	VERB
ejpam-194	208	9	by	by	ADP
ejpam-194	208	10	large	large	ADJ
ejpam-194	208	11	r.	r.	PROPN
ejpam-194	208	12	this	this	PRON
ejpam-194	208	13	is	be	AUX
ejpam-194	208	14	due	due	ADJ
ejpam-194	208	15	to	to	ADP
ejpam-194	208	16	the	the	DET
ejpam-194	208	17	fact	fact	NOUN
ejpam-194	208	18	that	that	SCONJ
ejpam-194	208	19	stress	stress	NOUN
ejpam-194	208	20	waves	wave	NOUN
ejpam-194	208	21	propagate	propagate	VERB
ejpam-194	208	22	from	from	ADP
ejpam-194	208	23	the	the	DET
ejpam-194	208	24	inner	inner	ADJ
ejpam-194	208	25	boundary	boundary	NOUN
ejpam-194	208	26	to	to	ADP
ejpam-194	208	27	the	the	DET
ejpam-194	208	28	outer	outer	ADJ
ejpam-194	208	29	boundary	boundary	NOUN
ejpam-194	208	30	and	and	CCONJ
ejpam-194	208	31	from	from	ADP
ejpam-194	208	32	the	the	DET
ejpam-194	208	33	outer	outer	ADJ
ejpam-194	208	34	boundary	boundary	NOUN
ejpam-194	208	35	to	to	ADP
ejpam-194	208	36	the	the	DET
ejpam-194	208	37	inner	inner	ADJ
ejpam-194	208	38	boundary	boundary	NOUN
ejpam-194	208	39	at	at	ADP
ejpam-194	208	40	the	the	DET
ejpam-194	208	41	same	same	ADJ
ejpam-194	208	42	time	time	NOUN
ejpam-194	208	43	.	.	PUNCT
ejpam-194	209	1	similar	similar	ADJ
ejpam-194	209	2	behavior	behavior	NOUN
ejpam-194	209	3	is	be	AUX
ejpam-194	209	4	observed	observe	VERB
ejpam-194	209	5	in	in	ADP
ejpam-194	209	6	figs	fig	NOUN
ejpam-194	209	7	.	.	PUNCT
ejpam-194	210	1	12	12	NUM
ejpam-194	210	2	-	-	SYM
ejpam-194	210	3	16	16	NUM
ejpam-194	210	4	for	for	ADP
ejpam-194	210	5	hoop	hoop	NOUN
ejpam-194	210	6	stress	stress	NOUN
ejpam-194	210	7	.	.	PUNCT
ejpam-194	211	1	for	for	ADP
ejpam-194	211	2	all	all	DET
ejpam-194	211	3	above	above	ADP
ejpam-194	211	4	numerical	numerical	ADJ
ejpam-194	211	5	calculations	calculation	NOUN
ejpam-194	211	6	fortran-77	fortran-77	PROPN
ejpam-194	211	7	programming	programming	NOUN
ejpam-194	211	8	language	language	NOUN
ejpam-194	211	9	has	have	AUX
ejpam-194	211	10	been	be	AUX
ejpam-194	211	11	used	use	VERB
ejpam-194	211	12	.	.	PUNCT
ejpam-194	212	1	(	(	PUNCT
ejpam-194	212	2	a	a	X
ejpam-194	212	3	)	)	PUNCT
ejpam-194	212	4	radial	radial	ADJ
ejpam-194	212	5	stress	stress	NOUN
ejpam-194	212	6	vs.	vs.	ADP
ejpam-194	212	7	r	r	NOUN
ejpam-194	212	8	for	for	ADP
ejpam-194	212	9	η	η	NOUN
ejpam-194	212	10	=	=	PROPN
ejpam-194	212	11	.69	.69	NUM
ejpam-194	212	12	.	.	PUNCT
ejpam-194	213	1	(	(	PUNCT
ejpam-194	213	2	b	b	X
ejpam-194	213	3	)	)	PUNCT
ejpam-194	213	4	radial	radial	ADJ
ejpam-194	213	5	stress	stress	NOUN
ejpam-194	213	6	vs.	vs.	ADP
ejpam-194	213	7	r	r	NOUN
ejpam-194	213	8	for	for	ADP
ejpam-194	213	9	η	η	PROPN
ejpam-194	213	10	=	=	PROPN
ejpam-194	213	11	.026	.026	PROPN
ejpam-194	213	12	.	.	PUNCT
ejpam-194	214	1	figure	figure	NOUN
ejpam-194	214	2	1	1	NUM
ejpam-194	214	3	:	:	PUNCT
ejpam-194	214	4	radial	radial	ADJ
ejpam-194	214	5	stress	stress	NOUN
ejpam-194	214	6	.	.	PUNCT
ejpam-194	215	1	a.	a.	PROPN
ejpam-194	215	2	kar	kar	PROPN
ejpam-194	215	3	and	and	CCONJ
ejpam-194	215	4	m.	m.	PROPN
ejpam-194	215	5	kanoria	kanoria	PROPN
ejpam-194	215	6	/	/	SYM
ejpam-194	215	7	eur	eur	PROPN
ejpam-194	215	8	.	.	PUNCT
ejpam-194	216	1	j.	j.	PROPN
ejpam-194	216	2	pure	pure	PROPN
ejpam-194	216	3	appl	appl	PROPN
ejpam-194	216	4	.	.	PROPN
ejpam-194	216	5	math	math	PROPN
ejpam-194	216	6	,	,	PUNCT
ejpam-194	216	7	2	2	NUM
ejpam-194	216	8	(	(	PUNCT
ejpam-194	216	9	2009	2009	NUM
ejpam-194	216	10	)	)	PUNCT
ejpam-194	216	11	,	,	PUNCT
ejpam-194	216	12	(	(	PUNCT
ejpam-194	216	13	125	125	NUM
ejpam-194	216	14	-	-	SYM
ejpam-194	216	15	146	146	NUM
ejpam-194	216	16	)	)	PUNCT
ejpam-194	216	17	140	140	NUM
ejpam-194	216	18	(	(	PUNCT
ejpam-194	216	19	a	a	NOUN
ejpam-194	216	20	)	)	PUNCT
ejpam-194	216	21	hoop	hoop	NOUN
ejpam-194	216	22	stress	stress	NOUN
ejpam-194	216	23	vs.	vs.	ADP
ejpam-194	216	24	r	r	NOUN
ejpam-194	216	25	for	for	ADP
ejpam-194	216	26	η	η	NOUN
ejpam-194	216	27	=	=	PROPN
ejpam-194	216	28	.69	.69	NUM
ejpam-194	216	29	.	.	PUNCT
ejpam-194	217	1	(	(	PUNCT
ejpam-194	217	2	b	b	X
ejpam-194	217	3	)	)	PUNCT
ejpam-194	217	4	hoop	hoop	NOUN
ejpam-194	217	5	stress	stress	NOUN
ejpam-194	217	6	vs.	vs.	ADP
ejpam-194	217	7	r	r	NOUN
ejpam-194	217	8	for	for	ADP
ejpam-194	217	9	η	η	PROPN
ejpam-194	217	10	=	=	PROPN
ejpam-194	217	11	.026	.026	PROPN
ejpam-194	217	12	.	.	PUNCT
ejpam-194	218	1	figure	figure	NOUN
ejpam-194	218	2	2	2	NUM
ejpam-194	218	3	:	:	PUNCT
ejpam-194	218	4	hoop	hoop	NOUN
ejpam-194	218	5	stress	stress	NOUN
ejpam-194	218	6	.	.	PUNCT
ejpam-194	219	1	figure	figure	VERB
ejpam-194	219	2	3	3	NUM
ejpam-194	219	3	:	:	PUNCT
ejpam-194	219	4	radial	radial	ADJ
ejpam-194	219	5	stress	stress	NOUN
ejpam-194	219	6	vs.	vs.	ADP
ejpam-194	219	7	η	η	PROPN
ejpam-194	219	8	for	for	ADP
ejpam-194	219	9	r=	r=	ADJ
ejpam-194	219	10	1.5	1.5	NUM
ejpam-194	219	11	figure	figure	NOUN
ejpam-194	219	12	4	4	NUM
ejpam-194	219	13	:	:	PUNCT
ejpam-194	219	14	hoop	hoop	NOUN
ejpam-194	219	15	stress	stress	NOUN
ejpam-194	219	16	vs.	vs.	ADP
ejpam-194	219	17	η	η	PROPN
ejpam-194	219	18	for	for	ADP
ejpam-194	219	19	r=	r=	ADJ
ejpam-194	219	20	1.5	1.5	NUM
ejpam-194	219	21	figure	figure	NOUN
ejpam-194	219	22	5	5	NUM
ejpam-194	219	23	:	:	PUNCT
ejpam-194	219	24	variation	variation	NOUN
ejpam-194	219	25	of	of	ADP
ejpam-194	219	26	temperature	temperature	NOUN
ejpam-194	219	27	distribution	distribution	NOUN
ejpam-194	219	28	vs.	vs.	ADP
ejpam-194	219	29	r	r	NOUN
ejpam-194	219	30	for	for	ADP
ejpam-194	219	31	η=	η=	ADJ
ejpam-194	219	32	.69	.69	NUM
ejpam-194	219	33	.	.	PUNCT
ejpam-194	220	1	figure	figure	VERB
ejpam-194	220	2	6	6	NUM
ejpam-194	220	3	:	:	PUNCT
ejpam-194	220	4	variation	variation	NOUN
ejpam-194	220	5	of	of	ADP
ejpam-194	220	6	displacement	displacement	NOUN
ejpam-194	220	7	vs.	vs.	ADP
ejpam-194	220	8	r	r	NOUN
ejpam-194	220	9	for	for	ADP
ejpam-194	220	10	η=	η=	ADJ
ejpam-194	220	11	.69	.69	NUM
ejpam-194	220	12	.	.	PUNCT
ejpam-194	221	1	a.	a.	PROPN
ejpam-194	221	2	kar	kar	PROPN
ejpam-194	221	3	and	and	CCONJ
ejpam-194	221	4	m.	m.	PROPN
ejpam-194	221	5	kanoria	kanoria	PROPN
ejpam-194	221	6	/	/	SYM
ejpam-194	221	7	eur	eur	PROPN
ejpam-194	221	8	.	.	PUNCT
ejpam-194	222	1	j.	j.	PROPN
ejpam-194	222	2	pure	pure	PROPN
ejpam-194	222	3	appl	appl	PROPN
ejpam-194	222	4	.	.	PROPN
ejpam-194	222	5	math	math	PROPN
ejpam-194	222	6	,	,	PUNCT
ejpam-194	222	7	2	2	NUM
ejpam-194	222	8	(	(	PUNCT
ejpam-194	222	9	2009	2009	NUM
ejpam-194	222	10	)	)	PUNCT
ejpam-194	222	11	,	,	PUNCT
ejpam-194	222	12	(	(	PUNCT
ejpam-194	222	13	125	125	NUM
ejpam-194	222	14	-	-	SYM
ejpam-194	222	15	146	146	NUM
ejpam-194	222	16	)	)	PUNCT
ejpam-194	222	17	141	141	NUM
ejpam-194	222	18	figure	figure	NOUN
ejpam-194	222	19	7	7	NUM
ejpam-194	222	20	:	:	PUNCT
ejpam-194	222	21	radial	radial	ADJ
ejpam-194	222	22	stress	stress	NOUN
ejpam-194	222	23	vs.	vs.	ADP
ejpam-194	222	24	r	r	NOUN
ejpam-194	222	25	for	for	ADP
ejpam-194	222	26	η	η	NOUN
ejpam-194	222	27	=	=	SYM
ejpam-194	222	28	.69	.69	NUM
ejpam-194	222	29	and	and	CCONJ
ejpam-194	222	30	s	s	NOUN
ejpam-194	222	31	=	=	SYM
ejpam-194	222	32	3	3	X
ejpam-194	222	33	.	.	X
ejpam-194	222	34	figure	figure	NOUN
ejpam-194	222	35	8	8	NUM
ejpam-194	222	36	:	:	PUNCT
ejpam-194	222	37	radial	radial	ADJ
ejpam-194	222	38	stress	stress	NOUN
ejpam-194	222	39	vs.	vs.	ADP
ejpam-194	222	40	r	r	NOUN
ejpam-194	222	41	for	for	ADP
ejpam-194	222	42	η	η	NOUN
ejpam-194	222	43	=	=	SYM
ejpam-194	222	44	.69	.69	NUM
ejpam-194	222	45	and	and	CCONJ
ejpam-194	222	46	s	s	NOUN
ejpam-194	222	47	=	=	SYM
ejpam-194	222	48	6	6	NUM
ejpam-194	222	49	.	.	PUNCT
ejpam-194	222	50	figure	figure	NOUN
ejpam-194	222	51	9	9	NUM
ejpam-194	222	52	:	:	PUNCT
ejpam-194	222	53	radial	radial	ADJ
ejpam-194	222	54	stress	stress	NOUN
ejpam-194	222	55	vs.	vs.	ADP
ejpam-194	222	56	r	r	NOUN
ejpam-194	222	57	for	for	ADP
ejpam-194	222	58	η	η	NOUN
ejpam-194	222	59	=	=	SYM
ejpam-194	222	60	.69	.69	NUM
ejpam-194	222	61	and	and	CCONJ
ejpam-194	222	62	s	s	NOUN
ejpam-194	222	63	=	=	SYM
ejpam-194	222	64	9	9	X
ejpam-194	222	65	.	.	X
ejpam-194	222	66	figure	figure	NOUN
ejpam-194	222	67	10	10	NUM
ejpam-194	222	68	:	:	PUNCT
ejpam-194	222	69	radial	radial	ADJ
ejpam-194	222	70	stress	stress	NOUN
ejpam-194	222	71	vs.	vs.	ADP
ejpam-194	222	72	r	r	NOUN
ejpam-194	222	73	for	for	ADP
ejpam-194	222	74	η	η	NOUN
ejpam-194	222	75	=	=	SYM
ejpam-194	222	76	.69	.69	NUM
ejpam-194	222	77	and	and	CCONJ
ejpam-194	222	78	s	s	NOUN
ejpam-194	222	79	=	=	ADJ
ejpam-194	222	80	10	10	NUM
ejpam-194	222	81	.	.	PUNCT
ejpam-194	223	1	figure	figure	VERB
ejpam-194	223	2	11	11	NUM
ejpam-194	223	3	:	:	PUNCT
ejpam-194	223	4	radial	radial	ADJ
ejpam-194	223	5	stress	stress	NOUN
ejpam-194	223	6	vs.	vs.	ADP
ejpam-194	223	7	r	r	NOUN
ejpam-194	223	8	for	for	ADP
ejpam-194	223	9	η	η	NOUN
ejpam-194	223	10	=	=	SYM
ejpam-194	223	11	.69	.69	NUM
ejpam-194	223	12	and	and	CCONJ
ejpam-194	223	13	s	s	NOUN
ejpam-194	223	14	=	=	ADJ
ejpam-194	223	15	12	12	NUM
ejpam-194	223	16	.	.	PUNCT
ejpam-194	224	1	figure	figure	NOUN
ejpam-194	224	2	12	12	NUM
ejpam-194	224	3	:	:	PUNCT
ejpam-194	224	4	hoop	hoop	NOUN
ejpam-194	224	5	stress	stress	NOUN
ejpam-194	224	6	vs.	vs.	ADP
ejpam-194	224	7	r	r	NOUN
ejpam-194	224	8	for	for	ADP
ejpam-194	224	9	η	η	NOUN
ejpam-194	224	10	=	=	SYM
ejpam-194	224	11	.69	.69	NUM
ejpam-194	224	12	and	and	CCONJ
ejpam-194	224	13	s	s	NOUN
ejpam-194	224	14	=	=	SYM
ejpam-194	224	15	3	3	X
ejpam-194	224	16	.	.	X
ejpam-194	224	17	figure	figure	NOUN
ejpam-194	224	18	13	13	NUM
ejpam-194	224	19	:	:	PUNCT
ejpam-194	224	20	hoop	hoop	NOUN
ejpam-194	224	21	stress	stress	NOUN
ejpam-194	224	22	vs.	vs.	ADP
ejpam-194	224	23	r	r	NOUN
ejpam-194	224	24	for	for	ADP
ejpam-194	224	25	η	η	NOUN
ejpam-194	224	26	=	=	SYM
ejpam-194	224	27	.69	.69	NUM
ejpam-194	224	28	and	and	CCONJ
ejpam-194	224	29	s	s	NOUN
ejpam-194	224	30	=	=	SYM
ejpam-194	224	31	6	6	NUM
ejpam-194	224	32	.	.	PUNCT
ejpam-194	224	33	figure	figure	NOUN
ejpam-194	224	34	14	14	NUM
ejpam-194	224	35	:	:	PUNCT
ejpam-194	224	36	hoop	hoop	NOUN
ejpam-194	224	37	stress	stress	NOUN
ejpam-194	224	38	vs.	vs.	ADP
ejpam-194	224	39	r	r	NOUN
ejpam-194	224	40	for	for	ADP
ejpam-194	224	41	η	η	NOUN
ejpam-194	224	42	=	=	SYM
ejpam-194	224	43	.69	.69	NUM
ejpam-194	224	44	and	and	CCONJ
ejpam-194	224	45	s	s	NOUN
ejpam-194	224	46	=	=	ADJ
ejpam-194	224	47	8	8	NUM
ejpam-194	224	48	.	.	PUNCT
ejpam-194	225	1	references	reference	NOUN
ejpam-194	225	2	142	142	NUM
ejpam-194	225	3	figure	figure	NOUN
ejpam-194	225	4	15	15	NUM
ejpam-194	225	5	:	:	PUNCT
ejpam-194	225	6	hoop	hoop	NOUN
ejpam-194	225	7	stress	stress	NOUN
ejpam-194	225	8	vs.	vs.	ADP
ejpam-194	225	9	r	r	NOUN
ejpam-194	225	10	for	for	ADP
ejpam-194	225	11	η	η	NOUN
ejpam-194	225	12	=	=	SYM
ejpam-194	225	13	.69	.69	NUM
ejpam-194	225	14	and	and	CCONJ
ejpam-194	225	15	s	s	NOUN
ejpam-194	225	16	=	=	ADJ
ejpam-194	225	17	10	10	NUM
ejpam-194	225	18	.	.	PUNCT
ejpam-194	226	1	figure	figure	VERB
ejpam-194	226	2	16	16	NUM
ejpam-194	226	3	:	:	PUNCT
ejpam-194	226	4	hoop	hoop	NOUN
ejpam-194	226	5	stress	stress	NOUN
ejpam-194	226	6	vs.	vs.	ADP
ejpam-194	226	7	r	r	NOUN
ejpam-194	226	8	for	for	ADP
ejpam-194	226	9	η	η	NOUN
ejpam-194	226	10	=	=	SYM
ejpam-194	226	11	.69	.69	NUM
ejpam-194	226	12	and	and	CCONJ
ejpam-194	226	13	s	s	AUX
ejpam-194	226	14	=	=	ADJ
ejpam-194	226	15	12	12	NUM
ejpam-194	226	16	.	.	PUNCT
ejpam-194	227	1	acknowledgements	acknowledgement	NOUN
ejpam-194	227	2	.	.	PUNCT
ejpam-194	228	1	we	we	PRON
ejpam-194	228	2	are	be	AUX
ejpam-194	228	3	grateful	grateful	ADJ
ejpam-194	228	4	to	to	PART
ejpam-194	228	5	prof	prof	VERB
ejpam-194	228	6	.	.	PUNCT
ejpam-194	229	1	s.	s.	PROPN
ejpam-194	229	2	c.	c.	PROPN
ejpam-194	229	3	bose	bose	PROPN
ejpam-194	229	4	of	of	ADP
ejpam-194	229	5	the	the	DET
ejpam-194	229	6	department	department	NOUN
ejpam-194	229	7	of	of	ADP
ejpam-194	229	8	applied	apply	VERB
ejpam-194	229	9	mathematics	mathematic	NOUN
ejpam-194	229	10	,	,	PUNCT
ejpam-194	229	11	university	university	NOUN
ejpam-194	229	12	of	of	ADP
ejpam-194	229	13	calcutta	calcutta	NOUN
ejpam-194	229	14	for	for	ADP
ejpam-194	229	15	his	his	PRON
ejpam-194	229	16	kind	kind	ADJ
ejpam-194	229	17	help	help	NOUN
ejpam-194	229	18	and	and	CCONJ
ejpam-194	229	19	guidance	guidance	VERB
ejpam-194	229	20	in	in	ADP
ejpam-194	229	21	the	the	DET
ejpam-194	229	22	preparation	preparation	NOUN
ejpam-194	229	23	of	of	ADP
ejpam-194	229	24	the	the	DET
ejpam-194	229	25	paper	paper	NOUN
ejpam-194	229	26	.	.	PUNCT
ejpam-194	230	1	we	we	PRON
ejpam-194	230	2	also	also	ADV
ejpam-194	230	3	express	express	VERB
ejpam-194	230	4	our	our	PRON
ejpam-194	230	5	sincere	sincere	ADJ
ejpam-194	230	6	thanks	thank	NOUN
ejpam-194	230	7	to	to	ADP
ejpam-194	230	8	the	the	DET
ejpam-194	230	9	referees	referee	NOUN
ejpam-194	230	10	for	for	ADP
ejpam-194	230	11	their	their	PRON
ejpam-194	230	12	valuable	valuable	ADJ
ejpam-194	230	13	suggestion	suggestion	NOUN
ejpam-194	230	14	for	for	ADP
ejpam-194	230	15	the	the	DET
ejpam-194	230	16	improvement	improvement	NOUN
ejpam-194	230	17	of	of	ADP
ejpam-194	230	18	the	the	DET
ejpam-194	230	19	paper	paper	NOUN
ejpam-194	230	20	.	.	PUNCT
ejpam-194	231	1	avijit	avijit	PROPN
ejpam-194	231	2	kar	kar	PROPN
ejpam-194	231	3	is	be	AUX
ejpam-194	231	4	grateful	grateful	ADJ
ejpam-194	231	5	to	to	ADP
ejpam-194	231	6	the	the	DET
ejpam-194	231	7	council	council	NOUN
ejpam-194	231	8	of	of	ADP
ejpam-194	231	9	scientific	scientific	ADJ
ejpam-194	231	10	and	and	CCONJ
ejpam-194	231	11	industrial	industrial	ADJ
ejpam-194	231	12	research	research	NOUN
ejpam-194	231	13	(	(	PUNCT
ejpam-194	231	14	c.s.i.r	c.s.i.r	PROPN
ejpam-194	231	15	)	)	PUNCT
ejpam-194	231	16	,	,	PUNCT
ejpam-194	231	17	new	new	ADJ
ejpam-194	231	18	delhi	delhi	PROPN
ejpam-194	231	19	for	for	ADP
ejpam-194	231	20	the	the	DET
ejpam-194	231	21	award	award	NOUN
ejpam-194	231	22	of	of	ADP
ejpam-194	231	23	a	a	DET
ejpam-194	231	24	fellowship	fellowship	NOUN
ejpam-194	231	25	.	.	PUNCT
ejpam-194	232	1	references	reference	NOUN
ejpam-194	232	2	[	[	X
ejpam-194	232	3	1	1	X
ejpam-194	232	4	]	]	X
ejpam-194	232	5	h.w	h.w	PROPN
ejpam-194	232	6	.	.	PROPN
ejpam-194	232	7	lord	lord	PROPN
ejpam-194	232	8	and	and	CCONJ
ejpam-194	232	9	y.	y.	PROPN
ejpam-194	232	10	shulman	shulman	PROPN
ejpam-194	232	11	,	,	PUNCT
ejpam-194	232	12	a	a	DET
ejpam-194	232	13	generalized	generalized	ADJ
ejpam-194	232	14	dynamic	dynamic	ADJ
ejpam-194	232	15	theory	theory	NOUN
ejpam-194	232	16	of	of	ADP
ejpam-194	232	17	thermoelasticity	thermoelasticity	NOUN
ejpam-194	232	18	,	,	PUNCT
ejpam-194	232	19	j.	j.	PROPN
ejpam-194	232	20	mech	mech	PROPN
ejpam-194	232	21	.	.	PUNCT
ejpam-194	233	1	phys	phy	NOUN
ejpam-194	233	2	.	.	PUNCT
ejpam-194	234	1	solids	solid	NOUN
ejpam-194	234	2	,	,	PUNCT
ejpam-194	234	3	15	15	NUM
ejpam-194	234	4	(	(	PUNCT
ejpam-194	234	5	1967	1967	NUM
ejpam-194	234	6	)	)	PUNCT
ejpam-194	234	7	,	,	PUNCT
ejpam-194	234	8	299	299	NUM
ejpam-194	234	9	-	-	SYM
ejpam-194	234	10	309	309	NUM
ejpam-194	234	11	.	.	PUNCT
ejpam-194	235	1	[	[	X
ejpam-194	235	2	2	2	X
ejpam-194	235	3	]	]	X
ejpam-194	235	4	a.e	a.e	PROPN
ejpam-194	235	5	.	.	PROPN
ejpam-194	235	6	green	green	PROPN
ejpam-194	235	7	and	and	CCONJ
ejpam-194	235	8	k.a	k.a	PROPN
ejpam-194	235	9	.	.	PROPN
ejpam-194	235	10	lindsay	lindsay	PROPN
ejpam-194	235	11	,	,	PUNCT
ejpam-194	235	12	thermoelasticity	thermoelasticity	NOUN
ejpam-194	235	13	,	,	PUNCT
ejpam-194	235	14	j.	j.	PROPN
ejpam-194	235	15	elasticity	elasticity	PROPN
ejpam-194	235	16	,	,	PUNCT
ejpam-194	235	17	2	2	NUM
ejpam-194	235	18	(	(	PUNCT
ejpam-194	235	19	1972	1972	NUM
ejpam-194	235	20	)	)	PUNCT
ejpam-194	235	21	,	,	PUNCT
ejpam-194	235	22	1	1	NUM
ejpam-194	235	23	-	-	SYM
ejpam-194	235	24	7	7	NUM
ejpam-194	235	25	.	.	PUNCT
ejpam-194	236	1	[	[	X
ejpam-194	236	2	3	3	X
ejpam-194	236	3	]	]	X
ejpam-194	236	4	r.b	r.b	PROPN
ejpam-194	236	5	.	.	PROPN
ejpam-194	236	6	hetnarski	hetnarski	PROPN
ejpam-194	236	7	and	and	CCONJ
ejpam-194	236	8	j.	j.	PROPN
ejpam-194	236	9	ignaczak	ignaczak	PROPN
ejpam-194	236	10	,	,	PUNCT
ejpam-194	236	11	generalized	generalized	ADJ
ejpam-194	236	12	thermoelasticity	thermoelasticity	NOUN
ejpam-194	236	13	:	:	PUNCT
ejpam-194	236	14	closed	close	VERB
ejpam-194	236	15	form	form	NOUN
ejpam-194	236	16	solutions	solution	NOUN
ejpam-194	236	17	,	,	PUNCT
ejpam-194	236	18	j.	j.	PROPN
ejpam-194	236	19	thermal	thermal	PROPN
ejpam-194	236	20	stresses	stress	NOUN
ejpam-194	236	21	,	,	PUNCT
ejpam-194	236	22	16	16	NUM
ejpam-194	236	23	(	(	PUNCT
ejpam-194	236	24	1993	1993	NUM
ejpam-194	236	25	)	)	PUNCT
ejpam-194	236	26	,	,	PUNCT
ejpam-194	236	27	473	473	NUM
ejpam-194	236	28	-	-	NUM
ejpam-194	236	29	498	498	NUM
ejpam-194	236	30	.	.	PUNCT
ejpam-194	237	1	[	[	X
ejpam-194	237	2	4	4	X
ejpam-194	237	3	]	]	X
ejpam-194	237	4	r.b	r.b	PROPN
ejpam-194	237	5	.	.	PROPN
ejpam-194	237	6	hetnarski	hetnarski	PROPN
ejpam-194	237	7	and	and	CCONJ
ejpam-194	237	8	j.	j.	PROPN
ejpam-194	237	9	ignaczak	ignaczak	PROPN
ejpam-194	237	10	,	,	PUNCT
ejpam-194	237	11	generalized	generalized	ADJ
ejpam-194	237	12	thermoelasticity	thermoelasticity	NOUN
ejpam-194	237	13	:	:	PUNCT
ejpam-194	237	14	response	response	NOUN
ejpam-194	237	15	of	of	ADP
ejpam-194	237	16	semi	semi	ADJ
ejpam-194	237	17	-	-	NOUN
ejpam-194	237	18	space	space	NOUN
ejpam-194	237	19	to	to	ADP
ejpam-194	237	20	a	a	DET
ejpam-194	237	21	short	short	ADJ
ejpam-194	237	22	laser	laser	NOUN
ejpam-194	237	23	pulse	pulse	NOUN
ejpam-194	237	24	,	,	PUNCT
ejpam-194	237	25	j.	j.	PROPN
ejpam-194	237	26	thermal	thermal	PROPN
ejpam-194	237	27	stresses	stress	NOUN
ejpam-194	237	28	,	,	PUNCT
ejpam-194	237	29	17	17	NUM
ejpam-194	237	30	(	(	PUNCT
ejpam-194	237	31	1994	1994	NUM
ejpam-194	237	32	)	)	PUNCT
ejpam-194	237	33	,	,	PUNCT
ejpam-194	237	34	377	377	NUM
ejpam-194	237	35	-	-	SYM
ejpam-194	237	36	396	396	NUM
ejpam-194	237	37	.	.	PUNCT
ejpam-194	238	1	[	[	X
ejpam-194	238	2	5	5	NUM
ejpam-194	238	3	]	]	X
ejpam-194	238	4	a.n	a.n	PROPN
ejpam-194	238	5	.	.	PROPN
ejpam-194	238	6	sinha	sinha	PROPN
ejpam-194	238	7	and	and	CCONJ
ejpam-194	238	8	s.b	s.b	PROPN
ejpam-194	238	9	.	.	PROPN
ejpam-194	238	10	sinha	sinha	PROPN
ejpam-194	238	11	,	,	PUNCT
ejpam-194	238	12	reflexion	reflexion	NOUN
ejpam-194	238	13	of	of	ADP
ejpam-194	238	14	thermoelastic	thermoelastic	ADJ
ejpam-194	238	15	waves	wave	NOUN
ejpam-194	238	16	at	at	ADP
ejpam-194	238	17	a	a	DET
ejpam-194	238	18	solid	solid	ADJ
ejpam-194	238	19	half	half	ADJ
ejpam-194	238	20	-	-	PUNCT
ejpam-194	238	21	space	space	NOUN
ejpam-194	238	22	with	with	ADP
ejpam-194	238	23	thermal	thermal	ADJ
ejpam-194	238	24	relaxation	relaxation	NOUN
ejpam-194	238	25	,	,	PUNCT
ejpam-194	238	26	j.	j.	PROPN
ejpam-194	238	27	phys	phys	PROPN
ejpam-194	238	28	.	.	PUNCT
ejpam-194	239	1	earth	earth	NOUN
ejpam-194	239	2	,	,	PUNCT
ejpam-194	239	3	22	22	NUM
ejpam-194	239	4	(	(	PUNCT
ejpam-194	239	5	1974	1974	NUM
ejpam-194	239	6	)	)	PUNCT
ejpam-194	239	7	,	,	PUNCT
ejpam-194	239	8	237	237	NUM
ejpam-194	239	9	-	-	SYM
ejpam-194	239	10	244	244	NUM
ejpam-194	239	11	.	.	PUNCT
ejpam-194	240	1	[	[	X
ejpam-194	240	2	6	6	NUM
ejpam-194	240	3	]	]	X
ejpam-194	240	4	s.b	s.b	PROPN
ejpam-194	240	5	.	.	PROPN
ejpam-194	240	6	sinha	sinha	PROPN
ejpam-194	240	7	and	and	CCONJ
ejpam-194	240	8	k.a	k.a	PROPN
ejpam-194	240	9	.	.	PROPN
ejpam-194	240	10	elsibai	elsibai	PROPN
ejpam-194	240	11	,	,	PUNCT
ejpam-194	240	12	reflexion	reflexion	NOUN
ejpam-194	240	13	of	of	ADP
ejpam-194	240	14	thermoelastic	thermoelastic	ADJ
ejpam-194	240	15	waves	wave	NOUN
ejpam-194	240	16	at	at	ADP
ejpam-194	240	17	a	a	DET
ejpam-194	240	18	solid	solid	ADJ
ejpam-194	240	19	half	half	ADJ
ejpam-194	240	20	-	-	PUNCT
ejpam-194	240	21	space	space	NOUN
ejpam-194	240	22	with	with	ADP
ejpam-194	240	23	two	two	NUM
ejpam-194	240	24	relaxation	relaxation	NOUN
ejpam-194	240	25	times	time	NOUN
ejpam-194	240	26	,	,	PUNCT
ejpam-194	240	27	j.	j.	PROPN
ejpam-194	240	28	thermal	thermal	PROPN
ejpam-194	240	29	stresses	stress	NOUN
ejpam-194	240	30	,	,	PUNCT
ejpam-194	240	31	19	19	NUM
ejpam-194	240	32	(	(	PUNCT
ejpam-194	240	33	1996	1996	NUM
ejpam-194	240	34	)	)	PUNCT
ejpam-194	240	35	,	,	PUNCT
ejpam-194	240	36	763	763	NUM
ejpam-194	240	37	-	-	SYM
ejpam-194	240	38	777	777	NUM
ejpam-194	240	39	.	.	PUNCT
ejpam-194	241	1	[	[	X
ejpam-194	241	2	7	7	NUM
ejpam-194	241	3	]	]	X
ejpam-194	241	4	s.b	s.b	PROPN
ejpam-194	241	5	.	.	PROPN
ejpam-194	241	6	sinha	sinha	PROPN
ejpam-194	241	7	and	and	CCONJ
ejpam-194	241	8	k.a	k.a	PROPN
ejpam-194	241	9	.	.	PROPN
ejpam-194	241	10	elsibai	elsibai	PROPN
ejpam-194	241	11	,	,	PUNCT
ejpam-194	241	12	reflexion	reflexion	NOUN
ejpam-194	241	13	and	and	CCONJ
ejpam-194	241	14	refraction	refraction	NOUN
ejpam-194	241	15	of	of	ADP
ejpam-194	241	16	thermoelastic	thermoelastic	ADJ
ejpam-194	241	17	waves	wave	NOUN
ejpam-194	241	18	at	at	ADP
ejpam-194	241	19	an	an	DET
ejpam-194	241	20	interface	interface	NOUN
ejpam-194	241	21	of	of	ADP
ejpam-194	241	22	two	two	NUM
ejpam-194	241	23	semi	semi	ADJ
ejpam-194	241	24	-	-	ADJ
ejpam-194	241	25	infinite	infinite	ADJ
ejpam-194	241	26	media	medium	NOUN
ejpam-194	241	27	with	with	ADP
ejpam-194	241	28	two	two	NUM
ejpam-194	241	29	relaxation	relaxation	NOUN
ejpam-194	241	30	times	time	NOUN
ejpam-194	241	31	,	,	PUNCT
ejpam-194	241	32	j.	j.	PROPN
ejpam-194	241	33	thermal	thermal	PROPN
ejpam-194	241	34	stresses	stress	NOUN
ejpam-194	241	35	,	,	PUNCT
ejpam-194	241	36	20	20	NUM
ejpam-194	241	37	(	(	PUNCT
ejpam-194	241	38	1997	1997	NUM
ejpam-194	241	39	)	)	PUNCT
ejpam-194	241	40	,	,	PUNCT
ejpam-194	241	41	129	129	NUM
ejpam-194	241	42	-	-	SYM
ejpam-194	241	43	146	146	NUM
ejpam-194	241	44	.	.	PUNCT
ejpam-194	242	1	[	[	X
ejpam-194	242	2	8	8	NUM
ejpam-194	242	3	]	]	X
ejpam-194	242	4	j.n	j.n	PROPN
ejpam-194	242	5	.	.	PROPN
ejpam-194	242	6	sharma	sharma	PROPN
ejpam-194	242	7	,	,	PUNCT
ejpam-194	242	8	reflexion	reflexion	NOUN
ejpam-194	242	9	of	of	ADP
ejpam-194	242	10	thermoelastic	thermoelastic	ADJ
ejpam-194	242	11	waves	wave	NOUN
ejpam-194	242	12	from	from	ADP
ejpam-194	242	13	stress	stress	NOUN
ejpam-194	242	14	free	free	ADJ
ejpam-194	242	15	insulated	insulate	VERB
ejpam-194	242	16	boundary	boundary	NOUN
ejpam-194	242	17	of	of	ADP
ejpam-194	242	18	anisotropic	anisotropic	NOUN
ejpam-194	242	19	half	half	ADJ
ejpam-194	242	20	-	-	PUNCT
ejpam-194	242	21	space	space	NOUN
ejpam-194	242	22	,	,	PUNCT
ejpam-194	242	23	ind	ind	PROPN
ejpam-194	242	24	.	.	PUNCT
ejpam-194	243	1	j.	j.	PROPN
ejpam-194	243	2	pure	pure	PROPN
ejpam-194	243	3	appl	appl	PROPN
ejpam-194	243	4	.	.	PUNCT
ejpam-194	243	5	math	math	PROPN
ejpam-194	243	6	.	.	PUNCT
ejpam-194	243	7	,	,	PUNCT
ejpam-194	243	8	19	19	NUM
ejpam-194	243	9	(	(	PUNCT
ejpam-194	243	10	1988	1988	NUM
ejpam-194	243	11	)	)	PUNCT
ejpam-194	243	12	,	,	PUNCT
ejpam-194	243	13	294	294	NUM
ejpam-194	243	14	-	-	SYM
ejpam-194	243	15	304	304	NUM
ejpam-194	243	16	.	.	PUNCT
ejpam-194	244	1	references	reference	NOUN
ejpam-194	244	2	143	143	NUM
ejpam-194	245	1	[	[	X
ejpam-194	245	2	9	9	NUM
ejpam-194	245	3	]	]	X
ejpam-194	245	4	r.s	r.s	PROPN
ejpam-194	245	5	.	.	PROPN
ejpam-194	245	6	dhaliwal	dhaliwal	PROPN
ejpam-194	245	7	and	and	CCONJ
ejpam-194	245	8	a.	a.	PROPN
ejpam-194	245	9	singh	singh	PROPN
ejpam-194	245	10	,	,	PUNCT
ejpam-194	245	11	generalized	generalized	ADJ
ejpam-194	245	12	thermoelasticity	thermoelasticity	NOUN
ejpam-194	245	13	for	for	ADP
ejpam-194	245	14	anisotropic	anisotropic	NOUN
ejpam-194	245	15	media	medium	NOUN
ejpam-194	245	16	,	,	PUNCT
ejpam-194	245	17	quart	quart	NOUN
ejpam-194	245	18	.	.	PUNCT
ejpam-194	246	1	appl	appl	PROPN
ejpam-194	246	2	.	.	PROPN
ejpam-194	246	3	math	math	PROPN
ejpam-194	246	4	.	.	PUNCT
ejpam-194	247	1	,	,	PUNCT
ejpam-194	247	2	33	33	NUM
ejpam-194	247	3	(	(	PUNCT
ejpam-194	247	4	1980	1980	NUM
ejpam-194	247	5	)	)	PUNCT
ejpam-194	247	6	,	,	PUNCT
ejpam-194	247	7	18	18	NUM
ejpam-194	247	8	-	-	SYM
ejpam-194	247	9	30	30	NUM
ejpam-194	247	10	.	.	PUNCT
ejpam-194	248	1	[	[	X
ejpam-194	248	2	10	10	NUM
ejpam-194	248	3	]	]	PUNCT
ejpam-194	248	4	a.	a.	NOUN
ejpam-194	248	5	kar	kar	PROPN
ejpam-194	248	6	and	and	CCONJ
ejpam-194	248	7	m.	m.	PROPN
ejpam-194	248	8	kanoria	kanoria	PROPN
ejpam-194	248	9	,	,	PUNCT
ejpam-194	248	10	thermoelastic	thermoelastic	ADJ
ejpam-194	248	11	interaction	interaction	NOUN
ejpam-194	248	12	with	with	ADP
ejpam-194	248	13	energy	energy	NOUN
ejpam-194	248	14	dissipation	dissipation	NOUN
ejpam-194	248	15	in	in	ADP
ejpam-194	248	16	an	an	DET
ejpam-194	248	17	unbounded	unbounded	ADJ
ejpam-194	248	18	body	body	NOUN
ejpam-194	248	19	with	with	ADP
ejpam-194	248	20	a	a	DET
ejpam-194	248	21	spherical	spherical	ADJ
ejpam-194	248	22	hole	hole	NOUN
ejpam-194	248	23	,	,	PUNCT
ejpam-194	248	24	int	int	NOUN
ejpam-194	248	25	.	.	PUNCT
ejpam-194	249	1	j.	j.	PROPN
ejpam-194	249	2	solids	solids	PROPN
ejpam-194	249	3	and	and	CCONJ
ejpam-194	249	4	structures	structure	NOUN
ejpam-194	249	5	,	,	PUNCT
ejpam-194	249	6	44	44	NUM
ejpam-194	249	7	(	(	PUNCT
ejpam-194	249	8	2007	2007	NUM
ejpam-194	249	9	)	)	PUNCT
ejpam-194	249	10	,	,	PUNCT
ejpam-194	249	11	2961	2961	NUM
ejpam-194	249	12	-	-	SYM
ejpam-194	249	13	2971	2971	NUM
ejpam-194	249	14	.	.	PUNCT
ejpam-194	250	1	[	[	X
ejpam-194	250	2	11	11	NUM
ejpam-194	250	3	]	]	PUNCT
ejpam-194	250	4	s.	s.	PROPN
ejpam-194	250	5	mukhopadhyay	mukhopadhyay	PROPN
ejpam-194	250	6	,	,	PUNCT
ejpam-194	250	7	thermoelastic	thermoelastic	ADJ
ejpam-194	250	8	interactions	interaction	NOUN
ejpam-194	250	9	without	without	ADP
ejpam-194	250	10	energy	energy	NOUN
ejpam-194	250	11	dissipation	dissipation	NOUN
ejpam-194	250	12	in	in	ADP
ejpam-194	250	13	an	an	DET
ejpam-194	250	14	unbounded	unbounded	ADJ
ejpam-194	250	15	medium	medium	NOUN
ejpam-194	250	16	with	with	ADP
ejpam-194	250	17	a	a	DET
ejpam-194	250	18	spherical	spherical	ADJ
ejpam-194	250	19	cavity	cavity	NOUN
ejpam-194	250	20	due	due	ADP
ejpam-194	250	21	to	to	ADP
ejpam-194	250	22	a	a	DET
ejpam-194	250	23	themal	themal	ADJ
ejpam-194	250	24	shock	shock	NOUN
ejpam-194	250	25	at	at	ADP
ejpam-194	250	26	the	the	DET
ejpam-194	250	27	boundary	boundary	NOUN
ejpam-194	250	28	,	,	PUNCT
ejpam-194	250	29	j.	j.	PROPN
ejpam-194	250	30	themal	themal	ADJ
ejpam-194	250	31	stresses	stress	NOUN
ejpam-194	250	32	,	,	PUNCT
ejpam-194	250	33	25	25	NUM
ejpam-194	250	34	(	(	PUNCT
ejpam-194	250	35	2002	2002	NUM
ejpam-194	250	36	)	)	PUNCT
ejpam-194	250	37	877	877	NUM
ejpam-194	250	38	-	-	SYM
ejpam-194	250	39	887	887	NUM
ejpam-194	250	40	.	.	PUNCT
ejpam-194	251	1	[	[	X
ejpam-194	251	2	12	12	NUM
ejpam-194	251	3	]	]	X
ejpam-194	251	4	n.	n.	PROPN
ejpam-194	251	5	bhatta	bhatta	PROPN
ejpam-194	251	6	and	and	CCONJ
ejpam-194	251	7	s.k	s.k	PROPN
ejpam-194	251	8	.	.	PROPN
ejpam-194	251	9	roychoudhury	roychoudhury	PROPN
ejpam-194	251	10	,	,	PUNCT
ejpam-194	251	11	a	a	DET
ejpam-194	251	12	coupled	couple	VERB
ejpam-194	251	13	thermoelastic	thermoelastic	ADJ
ejpam-194	251	14	problem	problem	NOUN
ejpam-194	251	15	of	of	ADP
ejpam-194	251	16	an	an	DET
ejpam-194	251	17	infinitely	infinitely	ADV
ejpam-194	251	18	extended	extended	ADJ
ejpam-194	251	19	thin	thin	ADJ
ejpam-194	251	20	plate	plate	NOUN
ejpam-194	251	21	containing	contain	VERB
ejpam-194	251	22	a	a	DET
ejpam-194	251	23	circular	circular	ADJ
ejpam-194	251	24	hole	hole	NOUN
ejpam-194	251	25	,	,	PUNCT
ejpam-194	251	26	ind	ind	PROPN
ejpam-194	251	27	.	.	PUNCT
ejpam-194	252	1	j.	j.	PROPN
ejpam-194	252	2	pure	pure	PROPN
ejpam-194	252	3	appl	appl	PROPN
ejpam-194	252	4	.	.	PUNCT
ejpam-194	252	5	math	math	PROPN
ejpam-194	252	6	.	.	PUNCT
ejpam-194	252	7	,	,	PUNCT
ejpam-194	252	8	14(1	14(1	NUM
ejpam-194	252	9	)	)	PUNCT
ejpam-194	252	10	(	(	PUNCT
ejpam-194	252	11	1983	1983	NUM
ejpam-194	252	12	)	)	PUNCT
ejpam-194	252	13	,	,	PUNCT
ejpam-194	252	14	85	85	NUM
ejpam-194	252	15	-	-	SYM
ejpam-194	252	16	95	95	NUM
ejpam-194	252	17	.	.	PUNCT
ejpam-194	253	1	[	[	X
ejpam-194	253	2	13	13	NUM
ejpam-194	253	3	]	]	X
ejpam-194	253	4	s.k	s.k	PROPN
ejpam-194	253	5	.	.	PROPN
ejpam-194	253	6	roychoudhuri	roychoudhuri	PROPN
ejpam-194	253	7	and	and	CCONJ
ejpam-194	253	8	g.	g.	PROPN
ejpam-194	253	9	chatterjee	chatterjee	PROPN
ejpam-194	253	10	,	,	PUNCT
ejpam-194	253	11	radially	radially	ADV
ejpam-194	253	12	symmetric	symmetric	ADJ
ejpam-194	253	13	temperature	temperature	NOUN
ejpam-194	253	14	-	-	PUNCT
ejpam-194	253	15	rate	rate	NOUN
ejpam-194	253	16	dependent	dependent	ADJ
ejpam-194	253	17	thermoelastic	thermoelastic	ADJ
ejpam-194	253	18	wave	wave	NOUN
ejpam-194	253	19	propagation	propagation	NOUN
ejpam-194	253	20	in	in	ADP
ejpam-194	253	21	an	an	DET
ejpam-194	253	22	infinitely	infinitely	ADV
ejpam-194	253	23	extended	extended	ADJ
ejpam-194	253	24	thin	thin	ADJ
ejpam-194	253	25	plate	plate	NOUN
ejpam-194	253	26	containing	contain	VERB
ejpam-194	253	27	a	a	DET
ejpam-194	253	28	circular	circular	ADJ
ejpam-194	253	29	hole	hole	NOUN
ejpam-194	253	30	,	,	PUNCT
ejpam-194	253	31	int	int	NOUN
ejpam-194	253	32	.	.	PUNCT
ejpam-194	254	1	j.	j.	PROPN
ejpam-194	254	2	engng	engng	PROPN
ejpam-194	254	3	.	.	PUNCT
ejpam-194	255	1	sci	sci	PROPN
ejpam-194	255	2	.	.	PROPN
ejpam-194	255	3	,	,	PUNCT
ejpam-194	255	4	27	27	NUM
ejpam-194	255	5	(	(	PUNCT
ejpam-194	255	6	1989	1989	NUM
ejpam-194	255	7	)	)	PUNCT
ejpam-194	255	8	,	,	PUNCT
ejpam-194	255	9	251	251	NUM
ejpam-194	255	10	-	-	SYM
ejpam-194	255	11	257	257	NUM
ejpam-194	255	12	.	.	PUNCT
ejpam-194	256	1	[	[	X
ejpam-194	256	2	14	14	NUM
ejpam-194	256	3	]	]	X
ejpam-194	256	4	a.e	a.e	PROPN
ejpam-194	256	5	.	.	PROPN
ejpam-194	256	6	green	green	PROPN
ejpam-194	256	7	and	and	CCONJ
ejpam-194	256	8	p.m.	p.m.	NOUN
ejpam-194	256	9	naghdi	naghdi	NOUN
ejpam-194	256	10	,	,	PUNCT
ejpam-194	256	11	a	a	DET
ejpam-194	256	12	re	re	NOUN
ejpam-194	256	13	-	-	NOUN
ejpam-194	256	14	examination	examination	NOUN
ejpam-194	256	15	of	of	ADP
ejpam-194	256	16	the	the	DET
ejpam-194	256	17	basic	basic	ADJ
ejpam-194	256	18	postulate	postulate	NOUN
ejpam-194	256	19	of	of	ADP
ejpam-194	256	20	thermo	thermo	NOUN
ejpam-194	256	21	-	-	PUNCT
ejpam-194	256	22	mechanics	mechanic	NOUN
ejpam-194	256	23	,	,	PUNCT
ejpam-194	256	24	proc	proc	NOUN
ejpam-194	256	25	.	.	PUNCT
ejpam-194	257	1	roy	roy	PROPN
ejpam-194	257	2	.	.	PROPN
ejpam-194	257	3	soc	soc	PROPN
ejpam-194	257	4	.	.	PUNCT
ejpam-194	258	1	london	london	PROPN
ejpam-194	258	2	,	,	PUNCT
ejpam-194	258	3	432	432	NUM
ejpam-194	258	4	(	(	PUNCT
ejpam-194	258	5	1991	1991	NUM
ejpam-194	258	6	)	)	PUNCT
ejpam-194	258	7	,	,	PUNCT
ejpam-194	258	8	171	171	NUM
ejpam-194	258	9	-	-	SYM
ejpam-194	258	10	194	194	NUM
ejpam-194	258	11	.	.	PUNCT
ejpam-194	259	1	[	[	X
ejpam-194	259	2	15	15	NUM
ejpam-194	259	3	]	]	X
ejpam-194	259	4	a.e	a.e	PROPN
ejpam-194	259	5	.	.	PROPN
ejpam-194	259	6	green	green	PROPN
ejpam-194	259	7	and	and	CCONJ
ejpam-194	259	8	p.m.	p.m.	NOUN
ejpam-194	259	9	naghdi	naghdi	NOUN
ejpam-194	259	10	,	,	PUNCT
ejpam-194	259	11	an	an	DET
ejpam-194	259	12	unbounded	unbounded	ADJ
ejpam-194	259	13	heat	heat	NOUN
ejpam-194	259	14	wave	wave	NOUN
ejpam-194	259	15	in	in	ADP
ejpam-194	259	16	an	an	DET
ejpam-194	259	17	elastic	elastic	ADJ
ejpam-194	259	18	solid	solid	NOUN
ejpam-194	259	19	,	,	PUNCT
ejpam-194	259	20	j.	j.	PROPN
ejpam-194	259	21	thermal	thermal	PROPN
ejpam-194	259	22	stresses	stress	NOUN
ejpam-194	259	23	,	,	PUNCT
ejpam-194	259	24	15	15	NUM
ejpam-194	259	25	(	(	PUNCT
ejpam-194	259	26	1992	1992	NUM
ejpam-194	259	27	)	)	PUNCT
ejpam-194	259	28	,	,	PUNCT
ejpam-194	259	29	253	253	NUM
ejpam-194	259	30	-	-	SYM
ejpam-194	259	31	264	264	NUM
ejpam-194	259	32	.	.	PUNCT
ejpam-194	260	1	[	[	X
ejpam-194	260	2	16	16	NUM
ejpam-194	260	3	]	]	X
ejpam-194	260	4	a.e	a.e	PROPN
ejpam-194	260	5	.	.	PROPN
ejpam-194	260	6	green	green	PROPN
ejpam-194	260	7	and	and	CCONJ
ejpam-194	260	8	p.m.	p.m.	NOUN
ejpam-194	260	9	naghdi	naghdi	NOUN
ejpam-194	260	10	,	,	PUNCT
ejpam-194	260	11	thermoelasticity	thermoelasticity	NOUN
ejpam-194	260	12	without	without	ADP
ejpam-194	260	13	energy	energy	NOUN
ejpam-194	260	14	dissipation	dissipation	NOUN
ejpam-194	260	15	,	,	PUNCT
ejpam-194	260	16	j.	j.	PROPN
ejpam-194	260	17	elasticity	elasticity	PROPN
ejpam-194	260	18	,	,	PUNCT
ejpam-194	260	19	31	31	NUM
ejpam-194	260	20	(	(	PUNCT
ejpam-194	260	21	1993	1993	NUM
ejpam-194	260	22	)	)	PUNCT
ejpam-194	260	23	,	,	PUNCT
ejpam-194	260	24	189	189	NUM
ejpam-194	260	25	-	-	SYM
ejpam-194	260	26	208	208	NUM
ejpam-194	260	27	.	.	PUNCT
ejpam-194	261	1	[	[	X
ejpam-194	261	2	17	17	NUM
ejpam-194	261	3	]	]	X
ejpam-194	261	4	s.k	s.k	PROPN
ejpam-194	261	5	.	.	PROPN
ejpam-194	261	6	roychoudhuri	roychoudhuri	PROPN
ejpam-194	261	7	and	and	CCONJ
ejpam-194	261	8	p.s	p.s	PROPN
ejpam-194	261	9	.	.	PROPN
ejpam-194	261	10	dutta	dutta	PROPN
ejpam-194	261	11	,	,	PUNCT
ejpam-194	261	12	thermoelastic	thermoelastic	ADJ
ejpam-194	261	13	interaction	interaction	NOUN
ejpam-194	261	14	without	without	ADP
ejpam-194	261	15	energy	energy	NOUN
ejpam-194	261	16	dissipation	dissipation	NOUN
ejpam-194	261	17	in	in	ADP
ejpam-194	261	18	an	an	DET
ejpam-194	261	19	infinite	infinite	NOUN
ejpam-194	261	20	solid	solid	ADJ
ejpam-194	261	21	with	with	ADP
ejpam-194	261	22	distributed	distribute	VERB
ejpam-194	261	23	periodically	periodically	ADV
ejpam-194	261	24	varrying	varrye	VERB
ejpam-194	261	25	heat	heat	NOUN
ejpam-194	261	26	sources	source	NOUN
ejpam-194	261	27	,	,	PUNCT
ejpam-194	261	28	int	int	NOUN
ejpam-194	261	29	.	.	PUNCT
ejpam-194	262	1	j.	j.	PROPN
ejpam-194	262	2	solids	solids	PROPN
ejpam-194	262	3	and	and	CCONJ
ejpam-194	262	4	structures	structure	NOUN
ejpam-194	262	5	,	,	PUNCT
ejpam-194	262	6	42	42	NUM
ejpam-194	262	7	(	(	PUNCT
ejpam-194	262	8	2005	2005	NUM
ejpam-194	262	9	)	)	PUNCT
ejpam-194	262	10	,	,	PUNCT
ejpam-194	262	11	4192	4192	NUM
ejpam-194	262	12	-	-	SYM
ejpam-194	262	13	4203	4203	NUM
ejpam-194	262	14	.	.	PUNCT
ejpam-194	263	1	[	[	X
ejpam-194	263	2	18	18	NUM
ejpam-194	263	3	]	]	X
ejpam-194	263	4	j.n	j.n	PROPN
ejpam-194	263	5	.	.	PROPN
ejpam-194	263	6	sharma	sharma	PROPN
ejpam-194	263	7	and	and	CCONJ
ejpam-194	263	8	r.s	r.s	PROPN
ejpam-194	263	9	.	.	PROPN
ejpam-194	263	10	chouhan	chouhan	PROPN
ejpam-194	263	11	,	,	PUNCT
ejpam-194	263	12	on	on	ADP
ejpam-194	263	13	the	the	DET
ejpam-194	263	14	problem	problem	NOUN
ejpam-194	263	15	of	of	ADP
ejpam-194	263	16	body	body	NOUN
ejpam-194	263	17	forces	force	NOUN
ejpam-194	263	18	and	and	CCONJ
ejpam-194	263	19	heat	heat	NOUN
ejpam-194	263	20	sources	source	NOUN
ejpam-194	263	21	in	in	ADP
ejpam-194	263	22	thermoelasticity	thermoelasticity	NOUN
ejpam-194	263	23	without	without	ADP
ejpam-194	263	24	energy	energy	NOUN
ejpam-194	263	25	dissipation	dissipation	NOUN
ejpam-194	263	26	,	,	PUNCT
ejpam-194	263	27	ind	ind	PROPN
ejpam-194	263	28	.	.	PUNCT
ejpam-194	264	1	j.	j.	PROPN
ejpam-194	264	2	pure	pure	PROPN
ejpam-194	264	3	appl	appl	PROPN
ejpam-194	264	4	.	.	PUNCT
ejpam-194	264	5	math	math	PROPN
ejpam-194	264	6	.	.	PUNCT
ejpam-194	264	7	,	,	PUNCT
ejpam-194	264	8	30	30	NUM
ejpam-194	264	9	(	(	PUNCT
ejpam-194	264	10	1999	1999	NUM
ejpam-194	264	11	)	)	PUNCT
ejpam-194	264	12	,	,	PUNCT
ejpam-194	264	13	595	595	NUM
ejpam-194	264	14	-	-	SYM
ejpam-194	264	15	610	610	NUM
ejpam-194	264	16	.	.	PUNCT
ejpam-194	265	1	[	[	X
ejpam-194	265	2	19	19	NUM
ejpam-194	265	3	]	]	X
ejpam-194	265	4	s.k	s.k	PROPN
ejpam-194	265	5	.	.	PROPN
ejpam-194	265	6	roychoudhuri	roychoudhuri	PROPN
ejpam-194	265	7	and	and	CCONJ
ejpam-194	265	8	n.	n.	PROPN
ejpam-194	265	9	bandyopadhyay	bandyopadhyay	NOUN
ejpam-194	265	10	,	,	PUNCT
ejpam-194	265	11	thermoelastic	thermoelastic	ADJ
ejpam-194	265	12	wave	wave	NOUN
ejpam-194	265	13	propagation	propagation	NOUN
ejpam-194	265	14	in	in	ADP
ejpam-194	265	15	a	a	DET
ejpam-194	265	16	rotating	rotate	VERB
ejpam-194	265	17	elastic	elastic	ADJ
ejpam-194	265	18	medium	medium	NOUN
ejpam-194	265	19	without	without	ADP
ejpam-194	265	20	energy	energy	NOUN
ejpam-194	265	21	dissipation	dissipation	NOUN
ejpam-194	265	22	,	,	PUNCT
ejpam-194	265	23	int	int	NOUN
ejpam-194	265	24	.	.	PUNCT
ejpam-194	266	1	j.	j.	PROPN
ejpam-194	266	2	math	math	PROPN
ejpam-194	266	3	.	.	PUNCT
ejpam-194	267	1	and	and	CCONJ
ejpam-194	267	2	math	math	NOUN
ejpam-194	267	3	.	.	PUNCT
ejpam-194	268	1	sci	sci	PROPN
ejpam-194	268	2	.	.	PROPN
ejpam-194	268	3	,	,	PUNCT
ejpam-194	268	4	1	1	NUM
ejpam-194	268	5	(	(	PUNCT
ejpam-194	268	6	2004	2004	NUM
ejpam-194	268	7	)	)	PUNCT
ejpam-194	268	8	,	,	PUNCT
ejpam-194	268	9	99	99	NUM
ejpam-194	268	10	-	-	SYM
ejpam-194	268	11	107	107	NUM
ejpam-194	268	12	.	.	PUNCT
ejpam-194	269	1	[	[	X
ejpam-194	269	2	20	20	NUM
ejpam-194	269	3	]	]	X
ejpam-194	269	4	d.s	d.s	PROPN
ejpam-194	269	5	.	.	PROPN
ejpam-194	269	6	chandrasekharaiah	chandrasekharaiah	PROPN
ejpam-194	269	7	,	,	PUNCT
ejpam-194	269	8	thermoelastic	thermoelastic	ADJ
ejpam-194	269	9	plane	plane	NOUN
ejpam-194	269	10	waves	wave	NOUN
ejpam-194	269	11	without	without	ADP
ejpam-194	269	12	energy	energy	NOUN
ejpam-194	269	13	dissipation	dissipation	NOUN
ejpam-194	269	14	,	,	PUNCT
ejpam-194	269	15	mechanics	mechanic	NOUN
ejpam-194	269	16	research	research	NOUN
ejpam-194	269	17	communications	communication	NOUN
ejpam-194	269	18	,	,	PUNCT
ejpam-194	269	19	23	23	NUM
ejpam-194	269	20	(	(	PUNCT
ejpam-194	269	21	1996	1996	NUM
ejpam-194	269	22	)	)	PUNCT
ejpam-194	269	23	,	,	PUNCT
ejpam-194	269	24	549	549	NUM
ejpam-194	269	25	-	-	SYM
ejpam-194	269	26	555	555	NUM
ejpam-194	269	27	.	.	PUNCT
ejpam-194	270	1	[	[	X
ejpam-194	270	2	21	21	NUM
ejpam-194	270	3	]	]	X
ejpam-194	270	4	d.s	d.s	PROPN
ejpam-194	270	5	.	.	PROPN
ejpam-194	270	6	chandrasekharaiah	chandrasekharaiah	PROPN
ejpam-194	270	7	,	,	PUNCT
ejpam-194	270	8	a	a	DET
ejpam-194	270	9	note	note	NOUN
ejpam-194	270	10	on	on	ADP
ejpam-194	270	11	the	the	DET
ejpam-194	270	12	uniqueness	uniqueness	NOUN
ejpam-194	270	13	of	of	ADP
ejpam-194	270	14	solution	solution	NOUN
ejpam-194	270	15	in	in	ADP
ejpam-194	270	16	the	the	DET
ejpam-194	270	17	linear	linear	PROPN
ejpam-194	270	18	theory	theory	NOUN
ejpam-194	270	19	of	of	ADP
ejpam-194	270	20	thermoelasticity	thermoelasticity	NOUN
ejpam-194	270	21	without	without	ADP
ejpam-194	270	22	energy	energy	NOUN
ejpam-194	270	23	dissipation	dissipation	NOUN
ejpam-194	270	24	,	,	PUNCT
ejpam-194	270	25	j.	j.	PROPN
ejpam-194	270	26	elasticity	elasticity	PROPN
ejpam-194	270	27	,	,	PUNCT
ejpam-194	270	28	43	43	NUM
ejpam-194	270	29	(	(	PUNCT
ejpam-194	270	30	1996	1996	NUM
ejpam-194	270	31	)	)	PUNCT
ejpam-194	270	32	,	,	PUNCT
ejpam-194	270	33	279	279	NUM
ejpam-194	270	34	-	-	SYM
ejpam-194	270	35	283	283	NUM
ejpam-194	270	36	.	.	PUNCT
ejpam-194	271	1	[	[	X
ejpam-194	271	2	22	22	NUM
ejpam-194	271	3	]	]	PUNCT
ejpam-194	271	4	r.	r.	PROPN
ejpam-194	271	5	bellman	bellman	PROPN
ejpam-194	271	6	,	,	PUNCT
ejpam-194	271	7	r.e	r.e	PROPN
ejpam-194	271	8	.	.	PROPN
ejpam-194	271	9	kolaba	kolaba	PROPN
ejpam-194	271	10	and	and	CCONJ
ejpam-194	271	11	j.a	j.a	PROPN
ejpam-194	271	12	.	.	PROPN
ejpam-194	271	13	lockette	lockette	PROPN
ejpam-194	271	14	,	,	PUNCT
ejpam-194	271	15	numerical	numerical	ADJ
ejpam-194	271	16	inversion	inversion	NOUN
ejpam-194	271	17	of	of	ADP
ejpam-194	271	18	the	the	DET
ejpam-194	271	19	laplace	laplace	NOUN
ejpam-194	271	20	transform	transform	NOUN
ejpam-194	271	21	,	,	PUNCT
ejpam-194	271	22	american	american	PROPN
ejpam-194	271	23	elsevier	elsevier	PROPN
ejpam-194	271	24	pub	pub	PROPN
ejpam-194	271	25	.	.	PUNCT
ejpam-194	272	1	co.	co.	PROPN
ejpam-194	272	2	,	,	PUNCT
ejpam-194	272	3	new	new	PROPN
ejpam-194	272	4	york	york	PROPN
ejpam-194	272	5	,	,	PUNCT
ejpam-194	272	6	1966	1966	NUM
ejpam-194	272	7	.	.	PUNCT
ejpam-194	273	1	[	[	X
ejpam-194	273	2	23	23	NUM
ejpam-194	273	3	]	]	X
ejpam-194	273	4	j.n	j.n	PROPN
ejpam-194	273	5	.	.	PROPN
ejpam-194	273	6	watson	watson	PROPN
ejpam-194	273	7	,	,	PUNCT
ejpam-194	273	8	theory	theory	NOUN
ejpam-194	273	9	of	of	ADP
ejpam-194	273	10	bessel	bessel	NOUN
ejpam-194	273	11	function(2nd	function(2nd	PROPN
ejpam-194	273	12	edn	edn	PROPN
ejpam-194	273	13	.	.	PUNCT
ejpam-194	273	14	)	)	PUNCT
ejpam-194	273	15	,	,	PUNCT
ejpam-194	273	16	cambridge	cambridge	PROPN
ejpam-194	273	17	univ	univ	PROPN
ejpam-194	273	18	.	.	PUNCT
ejpam-194	274	1	press	press	PROPN
ejpam-194	274	2	,	,	PUNCT
ejpam-194	274	3	1980	1980	NUM
ejpam-194	274	4	.	.	PUNCT
ejpam-194	275	1	references	reference	NOUN
ejpam-194	275	2	144	144	NUM
ejpam-194	275	3	appendix	appendix	NOUN
ejpam-194	275	4	let	let	VERB
ejpam-194	275	5	the	the	DET
ejpam-194	275	6	laplace	laplace	NOUN
ejpam-194	275	7	transform	transform	NOUN
ejpam-194	275	8	of	of	ADP
ejpam-194	275	9	σi(r	σi(r	ADJ
ejpam-194	275	10	,	,	PUNCT
ejpam-194	275	11	η	η	NOUN
ejpam-194	275	12	)	)	PUNCT
ejpam-194	275	13	be	be	AUX
ejpam-194	275	14	given	give	VERB
ejpam-194	275	15	by	by	ADP
ejpam-194	275	16	σ	σ	NOUN
ejpam-194	275	17	j(r	j(r	PROPN
ejpam-194	275	18	,	,	PUNCT
ejpam-194	275	19	p	p	X
ejpam-194	275	20	)	)	PUNCT
ejpam-194	275	21	=	=	SYM
ejpam-194	276	1	∫	∫	PROPN
ejpam-194	276	2	∞	∞	PROPN
ejpam-194	276	3	0	0	PUNCT
ejpam-194	276	4	e−pησ	e−pησ	ADP
ejpam-194	276	5	j(r	j(r	PROPN
ejpam-194	276	6	,	,	PUNCT
ejpam-194	276	7	η)dη	η)dη	PROPN
ejpam-194	276	8	.	.	PUNCT
ejpam-194	277	1	(	(	PUNCT
ejpam-194	277	2	a.1	a.1	X
ejpam-194	277	3	)	)	PUNCT
ejpam-194	277	4	we	we	PRON
ejpam-194	277	5	assume	assume	VERB
ejpam-194	277	6	that	that	SCONJ
ejpam-194	277	7	σ	σ	PROPN
ejpam-194	277	8	j(r	j(r	PROPN
ejpam-194	277	9	,	,	PUNCT
ejpam-194	277	10	η	η	NOUN
ejpam-194	277	11	)	)	PUNCT
ejpam-194	277	12	is	be	AUX
ejpam-194	277	13	sufficiently	sufficiently	ADV
ejpam-194	277	14	smooth	smooth	ADJ
ejpam-194	277	15	to	to	PART
ejpam-194	277	16	permit	permit	VERB
ejpam-194	277	17	the	the	DET
ejpam-194	277	18	use	use	NOUN
ejpam-194	277	19	of	of	ADP
ejpam-194	277	20	the	the	DET
ejpam-194	277	21	approximate	approximate	ADJ
ejpam-194	277	22	method	method	NOUN
ejpam-194	277	23	we	we	PRON
ejpam-194	277	24	apply	apply	VERB
ejpam-194	277	25	.	.	PUNCT
ejpam-194	278	1	putting	put	VERB
ejpam-194	278	2	x	x	PUNCT
ejpam-194	278	3	=	=	VERB
ejpam-194	278	4	e−η	e−η	NOUN
ejpam-194	278	5	in	in	ADP
ejpam-194	278	6	equation	equation	NOUN
ejpam-194	278	7	(	(	PUNCT
ejpam-194	278	8	a.1	a.1	NOUN
ejpam-194	278	9	)	)	PUNCT
ejpam-194	278	10	we	we	PRON
ejpam-194	278	11	obtain	obtain	VERB
ejpam-194	278	12	σ	σ	PROPN
ejpam-194	278	13	j(r	j(r	PROPN
ejpam-194	278	14	,	,	PUNCT
ejpam-194	278	15	p	p	X
ejpam-194	278	16	)	)	PUNCT
ejpam-194	278	17	=	=	SYM
ejpam-194	279	1	∫	∫	PROPN
ejpam-194	280	1	1	1	NUM
ejpam-194	280	2	0	0	NUM
ejpam-194	280	3	x	x	SYM
ejpam-194	280	4	p−1	p−1	PROPN
ejpam-194	280	5	g	g	PROPN
ejpam-194	280	6	j(r	j(r	PROPN
ejpam-194	280	7	,	,	PUNCT
ejpam-194	280	8	x)d	x)d	X
ejpam-194	280	9	x	x	X
ejpam-194	280	10	,	,	PUNCT
ejpam-194	280	11	(	(	PUNCT
ejpam-194	280	12	a.2	a.2	SYM
ejpam-194	280	13	)	)	PUNCT
ejpam-194	281	1	where	where	SCONJ
ejpam-194	281	2	g	g	PROPN
ejpam-194	281	3	j(r	j(r	PROPN
ejpam-194	281	4	,	,	PUNCT
ejpam-194	281	5	x	x	X
ejpam-194	281	6	)	)	PUNCT
ejpam-194	281	7	=	=	SYM
ejpam-194	281	8	σ	σ	PROPN
ejpam-194	281	9	j(r,−log	j(r,−log	NOUN
ejpam-194	281	10	x	x	NOUN
ejpam-194	281	11	)	)	PUNCT
ejpam-194	281	12	.	.	PUNCT
ejpam-194	282	1	(	(	PUNCT
ejpam-194	282	2	a.3	a.3	NOUN
ejpam-194	282	3	)	)	PUNCT
ejpam-194	282	4	applying	apply	VERB
ejpam-194	282	5	the	the	DET
ejpam-194	282	6	gaussian	gaussian	ADJ
ejpam-194	282	7	quadrature	quadrature	NOUN
ejpam-194	282	8	rule	rule	NOUN
ejpam-194	282	9	to	to	ADP
ejpam-194	282	10	the	the	DET
ejpam-194	282	11	equation	equation	NOUN
ejpam-194	282	12	(	(	PUNCT
ejpam-194	282	13	a.2	a.2	SYM
ejpam-194	282	14	)	)	PUNCT
ejpam-194	282	15	we	we	PRON
ejpam-194	282	16	obtain	obtain	VERB
ejpam-194	282	17	the	the	DET
ejpam-194	282	18	approximate	approximate	ADJ
ejpam-194	282	19	relation	relation	NOUN
ejpam-194	282	20	n∑	n∑	PROPN
ejpam-194	283	1	i=1	i=1	PROPN
ejpam-194	284	1	wi	wi	PROPN
ejpam-194	285	1	x	x	PROPN
ejpam-194	285	2	p−1	p−1	PROPN
ejpam-194	285	3	i	i	PRON
ejpam-194	285	4	g	g	PROPN
ejpam-194	285	5	j(r	j(r	PROPN
ejpam-194	285	6	,	,	PUNCT
ejpam-194	285	7	x	x	PROPN
ejpam-194	285	8	i	i	NOUN
ejpam-194	285	9	)	)	PUNCT
ejpam-194	285	10	=	=	PROPN
ejpam-194	286	1	σ	σ	PROPN
ejpam-194	286	2	j(r	j(r	PROPN
ejpam-194	286	3	,	,	PUNCT
ejpam-194	286	4	p	p	X
ejpam-194	286	5	)	)	PUNCT
ejpam-194	286	6	,	,	PUNCT
ejpam-194	286	7	(	(	PUNCT
ejpam-194	286	8	a.4	a.4	X
ejpam-194	286	9	)	)	PUNCT
ejpam-194	286	10	where	where	SCONJ
ejpam-194	286	11	x	x	PUNCT
ejpam-194	286	12	i	i	PRON
ejpam-194	286	13	’	'	PUNCT
ejpam-194	286	14	s(i	s(i	PROPN
ejpam-194	286	15	=	=	SYM
ejpam-194	286	16	1,2	1,2	NUM
ejpam-194	286	17	,	,	PUNCT
ejpam-194	286	18	....	....	PUNCT
ejpam-194	286	19	n	n	CCONJ
ejpam-194	286	20	)	)	PUNCT
ejpam-194	286	21	are	be	AUX
ejpam-194	286	22	the	the	DET
ejpam-194	286	23	roots	root	NOUN
ejpam-194	286	24	of	of	ADP
ejpam-194	286	25	the	the	DET
ejpam-194	286	26	shifted	shift	VERB
ejpam-194	286	27	legendre	legendre	PROPN
ejpam-194	286	28	polynomial	polynomial	PROPN
ejpam-194	286	29	and	and	CCONJ
ejpam-194	286	30	wi	wi	PROPN
ejpam-194	286	31	’	'	PUNCT
ejpam-194	286	32	s(i	s(i	PROPN
ejpam-194	286	33	=	=	SYM
ejpam-194	286	34	1,2	1,2	NUM
ejpam-194	286	35	,	,	PUNCT
ejpam-194	286	36	....	....	PUNCT
ejpam-194	286	37	n	n	CCONJ
ejpam-194	286	38	)	)	PUNCT
ejpam-194	286	39	are	be	AUX
ejpam-194	286	40	the	the	DET
ejpam-194	286	41	corresponding	corresponding	ADJ
ejpam-194	286	42	weights	weight	NOUN
ejpam-194	287	1	[	[	X
ejpam-194	287	2	22	22	NUM
ejpam-194	287	3	]	]	PUNCT
ejpam-194	287	4	and	and	CCONJ
ejpam-194	287	5	p	p	NOUN
ejpam-194	287	6	=	=	NOUN
ejpam-194	287	7	1(1)n	1(1)n	NOUN
ejpam-194	287	8	.	.	PUNCT
ejpam-194	288	1	for	for	ADP
ejpam-194	288	2	p	p	NOUN
ejpam-194	288	3	=	=	NOUN
ejpam-194	288	4	1(1)n	1(1)n	NUM
ejpam-194	288	5	)	)	PUNCT
ejpam-194	288	6	,	,	PUNCT
ejpam-194	288	7	the	the	DET
ejpam-194	288	8	equations	equation	NOUN
ejpam-194	288	9	(	(	PUNCT
ejpam-194	288	10	a.4	a.4	X
ejpam-194	288	11	)	)	PUNCT
ejpam-194	288	12	can	can	AUX
ejpam-194	288	13	be	be	AUX
ejpam-194	288	14	written	write	VERB
ejpam-194	288	15	as	as	ADP
ejpam-194	288	16	w1	w1	NOUN
ejpam-194	288	17	g	g	PROPN
ejpam-194	288	18	j(r	j(r	PROPN
ejpam-194	288	19	,	,	PUNCT
ejpam-194	288	20	x1	x1	PROPN
ejpam-194	288	21	)	)	PUNCT
ejpam-194	289	1	+	+	NOUN
ejpam-194	289	2	w2	w2	NOUN
ejpam-194	289	3	g	g	PROPN
ejpam-194	289	4	j(r	j(r	PROPN
ejpam-194	289	5	,	,	PUNCT
ejpam-194	289	6	x2	x2	PROPN
ejpam-194	289	7	)	)	PUNCT
ejpam-194	289	8	+	+	CCONJ
ejpam-194	289	9	............	............	PUNCT
ejpam-194	289	10	+	+	ADJ
ejpam-194	289	11	wn	wn	PROPN
ejpam-194	289	12	g	g	PROPN
ejpam-194	289	13	j(r	j(r	PROPN
ejpam-194	289	14	,	,	PUNCT
ejpam-194	289	15	xn	xn	PUNCT
ejpam-194	289	16	)	)	PUNCT
ejpam-194	290	1	=	=	PROPN
ejpam-194	290	2	σ	σ	PROPN
ejpam-194	290	3	j(r	j(r	PROPN
ejpam-194	290	4	,	,	PUNCT
ejpam-194	290	5	1	1	X
ejpam-194	290	6	)	)	PUNCT
ejpam-194	290	7	w1	w1	NOUN
ejpam-194	290	8	x1	x1	NUM
ejpam-194	290	9	g	g	PROPN
ejpam-194	290	10	j(r	j(r	PROPN
ejpam-194	290	11	,	,	PUNCT
ejpam-194	290	12	x1	x1	PROPN
ejpam-194	290	13	)	)	PUNCT
ejpam-194	291	1	+	+	NUM
ejpam-194	291	2	w2	w2	NOUN
ejpam-194	291	3	x2	x2	PROPN
ejpam-194	291	4	g	g	PROPN
ejpam-194	291	5	j(r	j(r	PROPN
ejpam-194	291	6	,	,	PUNCT
ejpam-194	291	7	x2	x2	PROPN
ejpam-194	291	8	)	)	PUNCT
ejpam-194	291	9	+	+	CCONJ
ejpam-194	291	10	............	............	PUNCT
ejpam-194	291	11	+	+	ADJ
ejpam-194	291	12	wn	wn	PROPN
ejpam-194	291	13	xn	xn	PROPN
ejpam-194	291	14	g	g	PROPN
ejpam-194	291	15	j(r	j(r	PROPN
ejpam-194	291	16	,	,	PUNCT
ejpam-194	291	17	xn	xn	PUNCT
ejpam-194	291	18	)	)	PUNCT
ejpam-194	291	19	=	=	PROPN
ejpam-194	291	20	σ	σ	PROPN
ejpam-194	291	21	j(r	j(r	PROPN
ejpam-194	291	22	,	,	PUNCT
ejpam-194	291	23	2	2	NUM
ejpam-194	291	24	)	)	PUNCT
ejpam-194	291	25	..................................................................	..................................................................	PUNCT
ejpam-194	291	26	references	reference	NOUN
ejpam-194	291	27	145	145	NUM
ejpam-194	291	28	..................................................................	..................................................................	PUNCT
ejpam-194	291	29	w1	w1	NOUN
ejpam-194	291	30	xn−1	xn−1	PROPN
ejpam-194	291	31	1	1	NUM
ejpam-194	291	32	g	g	ADP
ejpam-194	291	33	j(r	j(r	PROPN
ejpam-194	291	34	,	,	PUNCT
ejpam-194	291	35	x1	x1	PROPN
ejpam-194	291	36	)	)	PUNCT
ejpam-194	292	1	+	+	ADJ
ejpam-194	292	2	w2	w2	NOUN
ejpam-194	292	3	xn−1	xn−1	PROPN
ejpam-194	292	4	2	2	NUM
ejpam-194	292	5	g	g	ADP
ejpam-194	292	6	j(r	j(r	PROPN
ejpam-194	292	7	,	,	PUNCT
ejpam-194	292	8	x2	x2	PROPN
ejpam-194	292	9	)	)	PUNCT
ejpam-194	292	10	+	+	CCONJ
ejpam-194	292	11	............	............	PUNCT
ejpam-194	292	12	+	+	ADJ
ejpam-194	292	13	wn	wn	PROPN
ejpam-194	292	14	xn−1	xn−1	PROPN
ejpam-194	292	15	n	n	PROPN
ejpam-194	292	16	g	g	PROPN
ejpam-194	292	17	j(r	j(r	PROPN
ejpam-194	292	18	,	,	PUNCT
ejpam-194	292	19	xn	xn	PUNCT
ejpam-194	292	20	)	)	PUNCT
ejpam-194	292	21	=	=	PROPN
ejpam-194	292	22	σ	σ	PROPN
ejpam-194	292	23	j(r	j(r	PROPN
ejpam-194	292	24	,	,	PUNCT
ejpam-194	292	25	n	n	CCONJ
ejpam-194	292	26	)	)	PUNCT
ejpam-194	292	27	therefore	therefore	ADV
ejpam-194	292	28			VERB
ejpam-194	292	29			PROPN
ejpam-194	292	30	g	g	PROPN
ejpam-194	292	31	j(r	j(r	PROPN
ejpam-194	292	32	,	,	PUNCT
ejpam-194	292	33	x1	x1	PROPN
ejpam-194	292	34	)	)	PUNCT
ejpam-194	292	35	g	g	PROPN
ejpam-194	292	36	j(r	j(r	PROPN
ejpam-194	292	37	,	,	PUNCT
ejpam-194	292	38	x2	x2	PROPN
ejpam-194	292	39	)	)	PUNCT
ejpam-194	292	40	..	..	PUNCT
ejpam-194	292	41	..	..	PUNCT
ejpam-194	292	42	..	..	PUNCT
ejpam-194	293	1	g	g	ADP
ejpam-194	293	2	j(r	j(r	PROPN
ejpam-194	293	3	,	,	PUNCT
ejpam-194	293	4	xn	xn	PROPN
ejpam-194	293	5	)	)	PUNCT
ejpam-194	293	6			PUNCT
ejpam-194	294	1			NOUN
ejpam-194	294	2	=	=	SYM
ejpam-194	294	3			PROPN
ejpam-194	294	4			PROPN
ejpam-194	294	5	w1	w1	NOUN
ejpam-194	294	6	w2	w2	NOUN
ejpam-194	294	7	.	.	PUNCT
ejpam-194	294	8	.	.	PUNCT
ejpam-194	294	9	.	.	PUNCT
ejpam-194	295	1	wn	wn	PROPN
ejpam-194	295	2	w1	w1	PROPN
ejpam-194	295	3	x1	x1	PROPN
ejpam-194	295	4	w2	w2	NOUN
ejpam-194	295	5	x2	x2	PROPN
ejpam-194	295	6	.	.	PUNCT
ejpam-194	295	7	.	.	PUNCT
ejpam-194	295	8	.	.	PUNCT
ejpam-194	296	1	wn	wn	PROPN
ejpam-194	296	2	xn	xn	PROPN
ejpam-194	296	3	.	.	PUNCT
ejpam-194	296	4	.	.	PUNCT
ejpam-194	296	5	.	.	PUNCT
ejpam-194	296	6	.	.	PUNCT
ejpam-194	296	7	.	.	PUNCT
ejpam-194	296	8	.	.	PUNCT
ejpam-194	296	9	.	.	PUNCT
ejpam-194	296	10	.	.	PUNCT
ejpam-194	296	11	.	.	PUNCT
ejpam-194	296	12	.	.	PUNCT
ejpam-194	296	13	.	.	PUNCT
ejpam-194	296	14	.	.	PUNCT
ejpam-194	296	15	.	.	PUNCT
ejpam-194	296	16	.	.	PUNCT
ejpam-194	296	17	.	.	PUNCT
ejpam-194	296	18	.	.	PUNCT
ejpam-194	296	19	.	.	PUNCT
ejpam-194	296	20	.	.	PUNCT
ejpam-194	297	1	w1	w1	NOUN
ejpam-194	297	2	xn−1	xn−1	PROPN
ejpam-194	297	3	1	1	NUM
ejpam-194	297	4	w2	w2	NOUN
ejpam-194	297	5	xn−1	xn−1	PROPN
ejpam-194	297	6	2	2	NUM
ejpam-194	297	7	.	.	PUNCT
ejpam-194	297	8	.	.	PUNCT
ejpam-194	297	9	.	.	PUNCT
ejpam-194	298	1	wn	wn	PROPN
ejpam-194	298	2	xn−1	xn−1	PROPN
ejpam-194	298	3	n	n	PROPN
ejpam-194	298	4			PUNCT
ejpam-194	299	1			NOUN
ejpam-194	299	2	−1	−1	PUNCT
ejpam-194	299	3			PROPN
ejpam-194	299	4	σ	σ	PROPN
ejpam-194	299	5	j(r	j(r	PROPN
ejpam-194	299	6	,	,	PUNCT
ejpam-194	299	7	1	1	X
ejpam-194	299	8	)	)	PUNCT
ejpam-194	299	9	σ	σ	PROPN
ejpam-194	299	10	j(r	j(r	PROPN
ejpam-194	299	11	,	,	PUNCT
ejpam-194	299	12	2	2	NUM
ejpam-194	299	13	)	)	PUNCT
ejpam-194	299	14	.	.	PUNCT
ejpam-194	299	15	.	.	PUNCT
ejpam-194	299	16	.	.	PUNCT
ejpam-194	300	1	σ	σ	NOUN
ejpam-194	300	2	j(r	j(r	PROPN
ejpam-194	300	3	,	,	PUNCT
ejpam-194	300	4	n	n	CCONJ
ejpam-194	300	5	)	)	PUNCT
ejpam-194	300	6			PUNCT
ejpam-194	301	1			NOUN
ejpam-194	301	2	.	.	PUNCT
ejpam-194	302	1	(	(	PUNCT
ejpam-194	302	2	a.5	a.5	NOUN
ejpam-194	302	3	)	)	PUNCT
ejpam-194	302	4	(	(	PUNCT
ejpam-194	302	5	as	as	SCONJ
ejpam-194	302	6	the	the	DET
ejpam-194	302	7	matrix	matrix	NOUN
ejpam-194	302	8	is	be	AUX
ejpam-194	302	9	the	the	DET
ejpam-194	302	10	product	product	NOUN
ejpam-194	302	11	of	of	ADP
ejpam-194	302	12	diag{wi}multiplied	diag{wi}multiplie	VERB
ejpam-194	302	13	by	by	ADP
ejpam-194	302	14	vander	vander	NOUN
ejpam-194	302	15	monde	monde	PROPN
ejpam-194	302	16	matrix	matrix	NOUN
ejpam-194	302	17	,	,	PUNCT
ejpam-194	302	18	it	it	PRON
ejpam-194	302	19	can	can	AUX
ejpam-194	302	20	be	be	AUX
ejpam-194	302	21	shown	show	VERB
ejpam-194	302	22	that	that	SCONJ
ejpam-194	302	23	the	the	DET
ejpam-194	302	24	matrix	matrix	NOUN
ejpam-194	302	25	is	be	AUX
ejpam-194	302	26	non	non	ADJ
ejpam-194	302	27	-	-	ADJ
ejpam-194	302	28	singular	singular	ADJ
ejpam-194	302	29	.	.	PUNCT
ejpam-194	302	30	)	)	PUNCT
ejpam-194	303	1	hence	hence	ADV
ejpam-194	303	2	g	g	PROPN
ejpam-194	303	3	j(r	j(r	PROPN
ejpam-194	303	4	,	,	PUNCT
ejpam-194	303	5	x1	x1	PROPN
ejpam-194	303	6	)	)	PUNCT
ejpam-194	303	7	,	,	PUNCT
ejpam-194	303	8	g	g	PROPN
ejpam-194	303	9	j(r	j(r	PROPN
ejpam-194	303	10	,	,	PUNCT
ejpam-194	303	11	x2	x2	PROPN
ejpam-194	303	12	)	)	PUNCT
ejpam-194	303	13	,	,	PUNCT
ejpam-194	303	14	....	....	PUNCT
ejpam-194	303	15	,	,	PUNCT
ejpam-194	303	16	g	g	PROPN
ejpam-194	303	17	j(r	j(r	PROPN
ejpam-194	303	18	,	,	PUNCT
ejpam-194	303	19	xn	xn	PRON
ejpam-194	303	20	)	)	PUNCT
ejpam-194	303	21	are	be	AUX
ejpam-194	303	22	known	know	VERB
ejpam-194	303	23	.	.	PUNCT
ejpam-194	304	1	for	for	ADP
ejpam-194	304	2	n=	n=	ADJ
ejpam-194	304	3	7	7	NUM
ejpam-194	304	4	we	we	PRON
ejpam-194	304	5	have	have	VERB
ejpam-194	304	6	roots	root	NOUN
ejpam-194	304	7	of	of	ADP
ejpam-194	304	8	the	the	DET
ejpam-194	304	9	shifted	shift	VERB
ejpam-194	304	10	corresponding	correspond	VERB
ejpam-194	304	11	weights	weight	NOUN
ejpam-194	304	12	legendre	legendre	PROPN
ejpam-194	304	13	polynomial	polynomial	ADJ
ejpam-194	304	14	2.5446043828620886e-2	2.5446043828620886e-2	NUM
ejpam-194	304	15	6.4742483084434816e-2	6.4742483084434816e-2	NUM
ejpam-194	304	16	1.2923440720030282e-1	1.2923440720030282e-1	NUM
ejpam-194	304	17	1.3985269574463828e-1	1.3985269574463828e-1	NUM
ejpam-194	304	18	2.9707742431130145e-1	2.9707742431130145e-1	NUM
ejpam-194	304	19	1.9091502525255938e-1	1.9091502525255938e-1	NUM
ejpam-194	304	20	5.0000000000000000e-1	5.0000000000000000e-1	NUM
ejpam-194	304	21	2.0897959183673466e-1	2.0897959183673466e-1	NUM
ejpam-194	304	22	7.0292257568869853e-1	7.0292257568869853e-1	NUM
ejpam-194	304	23	1.9091502525255938e-1	1.9091502525255938e-1	NUM
ejpam-194	304	24	8.7076559279969706e-1	8.7076559279969706e-1	NUM
ejpam-194	304	25	1.3985269574463828e-1	1.3985269574463828e-1	NUM
ejpam-194	304	26	9.7455395617137909e-1	9.7455395617137909e-1	NUM
ejpam-194	304	27	6.4742483084434816e-2	6.4742483084434816e-2	NUM
ejpam-194	304	28	references	reference	NOUN
ejpam-194	304	29	146	146	NUM
ejpam-194	304	30	from	from	ADP
ejpam-194	304	31	equations	equation	NOUN
ejpam-194	304	32	in	in	ADP
ejpam-194	304	33	(	(	PUNCT
ejpam-194	304	34	a.5	a.5	NOUN
ejpam-194	304	35	)	)	PUNCT
ejpam-194	304	36	we	we	PRON
ejpam-194	304	37	can	can	AUX
ejpam-194	304	38	calculate	calculate	VERB
ejpam-194	304	39	the	the	DET
ejpam-194	304	40	discrete	discrete	ADJ
ejpam-194	304	41	values	value	NOUN
ejpam-194	304	42	of	of	ADP
ejpam-194	304	43	g	g	PROPN
ejpam-194	304	44	j(r	j(r	PROPN
ejpam-194	304	45	,	,	PUNCT
ejpam-194	304	46	x	x	PROPN
ejpam-194	304	47	i	i	NOUN
ejpam-194	304	48	)	)	PUNCT
ejpam-194	305	1	i	i	PRON
ejpam-194	305	2	,	,	PUNCT
ejpam-194	305	3	e	e	PROPN
ejpam-194	305	4	,	,	PUNCT
ejpam-194	305	5	σ	σ	PROPN
ejpam-194	305	6	j(r	j(r	PROPN
ejpam-194	305	7	,	,	PUNCT
ejpam-194	305	8	ηi	ηi	PROPN
ejpam-194	305	9	)	)	PUNCT
ejpam-194	305	10	;	;	PUNCT
ejpam-194	305	11	(	(	PUNCT
ejpam-194	305	12	i	i	PRON
ejpam-194	305	13	=	=	NOUN
ejpam-194	305	14	1,2,	1,2,	NUM
ejpam-194	305	15	....	....	PUNCT
ejpam-194	305	16	,7	,7	PUNCT
ejpam-194	305	17	)	)	PUNCT
ejpam-194	305	18	and	and	CCONJ
ejpam-194	305	19	finally	finally	ADV
ejpam-194	305	20	using	use	VERB
ejpam-194	305	21	interpolation	interpolation	NOUN
ejpam-194	305	22	we	we	PRON
ejpam-194	305	23	obtain	obtain	VERB
ejpam-194	305	24	the	the	DET
ejpam-194	305	25	stress	stress	NOUN
ejpam-194	305	26	components	component	NOUN
ejpam-194	305	27	σi(r	σi(r	ADP
ejpam-194	305	28	,	,	PUNCT
ejpam-194	305	29	η	η	NOUN
ejpam-194	305	30	)	)	PUNCT
ejpam-194	305	31	;	;	PUNCT
ejpam-194	305	32	(	(	PUNCT
ejpam-194	305	33	i	i	NOUN
ejpam-194	305	34	=	=	SYM
ejpam-194	305	35	r	r	NOUN
ejpam-194	305	36	,	,	PUNCT
ejpam-194	305	37	θ	θ	NOUN
ejpam-194	305	38	)	)	PUNCT
ejpam-194	305	39	.	.	PUNCT