id	sid	tid	token	lemma	pos
ejpam-1243	1	1	10_xxx_kar.dvi	10_xxx_kar.dvi	NUM
ejpam-1243	1	2	european	european	PROPN
ejpam-1243	1	3	journal	journal	PROPN
ejpam-1243	1	4	of	of	ADP
ejpam-1243	1	5	pure	pure	ADJ
ejpam-1243	1	6	and	and	CCONJ
ejpam-1243	1	7	applied	apply	VERB
ejpam-1243	1	8	mathematics	mathematic	NOUN
ejpam-1243	1	9	vol	vol	NOUN
ejpam-1243	1	10	.	.	PROPN
ejpam-1243	1	11	4	4	NUM
ejpam-1243	1	12	,	,	PUNCT
ejpam-1243	1	13	no	no	INTJ
ejpam-1243	1	14	.	.	NOUN
ejpam-1243	1	15	3	3	NUM
ejpam-1243	1	16	,	,	PUNCT
ejpam-1243	1	17	2011	2011	NUM
ejpam-1243	1	18	,	,	PUNCT
ejpam-1243	1	19	304	304	NUM
ejpam-1243	1	20	-	-	SYM
ejpam-1243	1	21	321	321	NUM
ejpam-1243	1	22	issn	issn	PROPN
ejpam-1243	1	23	1307	1307	NUM
ejpam-1243	1	24	-	-	SYM
ejpam-1243	1	25	5543	5543	NUM
ejpam-1243	1	26	–	–	PUNCT
ejpam-1243	1	27	www.ejpam.com	www.ejpam.com	X
ejpam-1243	1	28	analysis	analysis	NOUN
ejpam-1243	1	29	of	of	ADP
ejpam-1243	1	30	thermoelastic	thermoelastic	ADJ
ejpam-1243	1	31	response	response	NOUN
ejpam-1243	1	32	in	in	ADP
ejpam-1243	1	33	a	a	DET
ejpam-1243	1	34	fiber	fiber	NOUN
ejpam-1243	1	35	reinforced	reinforce	VERB
ejpam-1243	1	36	thin	thin	ADJ
ejpam-1243	1	37	annular	annular	ADJ
ejpam-1243	1	38	disc	disc	NOUN
ejpam-1243	1	39	with	with	ADP
ejpam-1243	1	40	three	three	NUM
ejpam-1243	1	41	-	-	PUNCT
ejpam-1243	1	42	phase	phase	NOUN
ejpam-1243	1	43	-	-	PUNCT
ejpam-1243	1	44	lag	lag	NOUN
ejpam-1243	1	45	effect	effect	NOUN
ejpam-1243	1	46	avijit	avijit	PROPN
ejpam-1243	1	47	kar1,∗	kar1,∗	PROPN
ejpam-1243	1	48	,	,	PUNCT
ejpam-1243	1	49	m.	m.	NOUN
ejpam-1243	1	50	kanoria2	kanoria2	PROPN
ejpam-1243	1	51	1	1	NUM
ejpam-1243	1	52	river	river	PROPN
ejpam-1243	1	53	research	research	PROPN
ejpam-1243	1	54	institute	institute	PROPN
ejpam-1243	1	55	,	,	PUNCT
ejpam-1243	1	56	haringhata	haringhata	ADJ
ejpam-1243	1	57	central	central	ADJ
ejpam-1243	1	58	laboratory	laboratory	NOUN
ejpam-1243	1	59	,	,	PUNCT
ejpam-1243	1	60	mohanpur	mohanpur	ADJ
ejpam-1243	1	61	,	,	PUNCT
ejpam-1243	1	62	nadia-741246	nadia-741246	PROPN
ejpam-1243	1	63	,	,	PUNCT
ejpam-1243	1	64	india	india	PROPN
ejpam-1243	1	65	2	2	NUM
ejpam-1243	1	66	department	department	NOUN
ejpam-1243	1	67	of	of	ADP
ejpam-1243	1	68	applied	apply	VERB
ejpam-1243	1	69	mathematics	mathematic	NOUN
ejpam-1243	1	70	,	,	PUNCT
ejpam-1243	1	71	university	university	NOUN
ejpam-1243	1	72	of	of	ADP
ejpam-1243	1	73	calcutta	calcutta	PROPN
ejpam-1243	1	74	,	,	PUNCT
ejpam-1243	1	75	92	92	NUM
ejpam-1243	1	76	,	,	PUNCT
ejpam-1243	1	77	a.p.c	a.p.c	ADJ
ejpam-1243	1	78	.	.	PUNCT
ejpam-1243	1	79	road	road	NOUN
ejpam-1243	1	80	,	,	PUNCT
ejpam-1243	1	81	kolkata	kolkata	NOUN
ejpam-1243	1	82	700	700	NUM
ejpam-1243	1	83	009	009	NUM
ejpam-1243	1	84	,	,	PUNCT
ejpam-1243	1	85	india	india	PROPN
ejpam-1243	1	86	abstract	abstract	NOUN
ejpam-1243	1	87	.	.	PUNCT
ejpam-1243	2	1	this	this	DET
ejpam-1243	2	2	paper	paper	NOUN
ejpam-1243	2	3	concerns	concern	VERB
ejpam-1243	2	4	the	the	DET
ejpam-1243	2	5	investigation	investigation	NOUN
ejpam-1243	2	6	of	of	ADP
ejpam-1243	2	7	the	the	DET
ejpam-1243	2	8	stresses	stress	NOUN
ejpam-1243	2	9	,	,	PUNCT
ejpam-1243	2	10	displacement	displacement	NOUN
ejpam-1243	2	11	and	and	CCONJ
ejpam-1243	2	12	temperature	temperature	NOUN
ejpam-1243	2	13	due	due	ADP
ejpam-1243	2	14	to	to	ADP
ejpam-1243	2	15	the	the	DET
ejpam-1243	2	16	axisymmetric	axisymmetric	ADJ
ejpam-1243	2	17	thermal	thermal	ADJ
ejpam-1243	2	18	shock	shock	NOUN
ejpam-1243	2	19	loading	loading	NOUN
ejpam-1243	2	20	on	on	ADP
ejpam-1243	2	21	the	the	DET
ejpam-1243	2	22	inner	inner	ADJ
ejpam-1243	2	23	boundary	boundary	NOUN
ejpam-1243	2	24	in	in	ADP
ejpam-1243	2	25	a	a	DET
ejpam-1243	2	26	transversely	transversely	ADJ
ejpam-1243	2	27	isotropic	isotropic	ADJ
ejpam-1243	2	28	thin	thin	ADJ
ejpam-1243	2	29	annular	annular	ADJ
ejpam-1243	2	30	disc	disc	NOUN
ejpam-1243	2	31	.	.	PUNCT
ejpam-1243	3	1	the	the	DET
ejpam-1243	3	2	analysis	analysis	NOUN
ejpam-1243	3	3	encompasses	encompass	VERB
ejpam-1243	3	4	thermo	thermo	NOUN
ejpam-1243	3	5	-	-	PUNCT
ejpam-1243	3	6	elasticity	elasticity	NOUN
ejpam-1243	3	7	without	without	ADP
ejpam-1243	3	8	energy	energy	NOUN
ejpam-1243	3	9	dissipation	dissipation	NOUN
ejpam-1243	3	10	theory	theory	NOUN
ejpam-1243	3	11	(	(	PUNCT
ejpam-1243	3	12	tewoed	tewoed	X
ejpam-1243	3	13	(	(	PUNCT
ejpam-1243	3	14	gnii	gnii	PROPN
ejpam-1243	3	15	)	)	PUNCT
ejpam-1243	3	16	)	)	PUNCT
ejpam-1243	3	17	and	and	CCONJ
ejpam-1243	3	18	three	three	NUM
ejpam-1243	3	19	-	-	PUNCT
ejpam-1243	3	20	phase	phase	NOUN
ejpam-1243	3	21	-	-	PUNCT
ejpam-1243	3	22	lag	lag	NOUN
ejpam-1243	3	23	theory	theory	NOUN
ejpam-1243	3	24	of	of	ADP
ejpam-1243	3	25	the	the	DET
ejpam-1243	3	26	generalized	generalize	VERB
ejpam-1243	3	27	thermo	thermo	NOUN
ejpam-1243	3	28	-	-	PUNCT
ejpam-1243	3	29	elasticity	elasticity	NOUN
ejpam-1243	3	30	to	to	PART
ejpam-1243	3	31	account	account	VERB
ejpam-1243	3	32	for	for	ADP
ejpam-1243	3	33	the	the	DET
ejpam-1243	3	34	finite	finite	ADJ
ejpam-1243	3	35	velocity	velocity	NOUN
ejpam-1243	3	36	of	of	ADP
ejpam-1243	3	37	the	the	DET
ejpam-1243	3	38	temperature	temperature	NOUN
ejpam-1243	3	39	.	.	PUNCT
ejpam-1243	4	1	the	the	DET
ejpam-1243	4	2	laplace	laplace	NOUN
ejpam-1243	4	3	transform	transform	NOUN
ejpam-1243	4	4	method	method	NOUN
ejpam-1243	4	5	is	be	AUX
ejpam-1243	4	6	used	use	VERB
ejpam-1243	4	7	to	to	PART
ejpam-1243	4	8	transform	transform	VERB
ejpam-1243	4	9	the	the	DET
ejpam-1243	4	10	coupled	couple	VERB
ejpam-1243	4	11	equations	equation	NOUN
ejpam-1243	4	12	into	into	ADP
ejpam-1243	4	13	the	the	DET
ejpam-1243	4	14	space	space	NOUN
ejpam-1243	4	15	domain	domain	NOUN
ejpam-1243	4	16	,	,	PUNCT
ejpam-1243	4	17	where	where	SCONJ
ejpam-1243	4	18	two	two	NUM
ejpam-1243	4	19	different	different	ADJ
ejpam-1243	4	20	methods	method	NOUN
ejpam-1243	4	21	,	,	PUNCT
ejpam-1243	4	22	eigen	eigen	NOUN
ejpam-1243	4	23	-	-	PUNCT
ejpam-1243	4	24	value	value	NOUN
ejpam-1243	4	25	approach	approach	NOUN
ejpam-1243	4	26	and	and	CCONJ
ejpam-1243	4	27	the	the	DET
ejpam-1243	4	28	galerkin	galerkin	ADJ
ejpam-1243	4	29	finite	finite	PROPN
ejpam-1243	4	30	element	element	NOUN
ejpam-1243	4	31	technique	technique	NOUN
ejpam-1243	4	32	are	be	AUX
ejpam-1243	4	33	employed	employ	VERB
ejpam-1243	4	34	to	to	PART
ejpam-1243	4	35	solve	solve	VERB
ejpam-1243	4	36	the	the	DET
ejpam-1243	4	37	resulting	result	VERB
ejpam-1243	4	38	equations	equation	NOUN
ejpam-1243	4	39	in	in	ADP
ejpam-1243	4	40	the	the	DET
ejpam-1243	4	41	transformed	transform	VERB
ejpam-1243	4	42	domain	domain	NOUN
ejpam-1243	4	43	.	.	PUNCT
ejpam-1243	5	1	the	the	DET
ejpam-1243	5	2	inverse	inverse	NOUN
ejpam-1243	5	3	of	of	ADP
ejpam-1243	5	4	the	the	DET
ejpam-1243	5	5	transformed	transform	VERB
ejpam-1243	5	6	solution	solution	NOUN
ejpam-1243	5	7	is	be	AUX
ejpam-1243	5	8	carried	carry	VERB
ejpam-1243	5	9	out	out	ADP
ejpam-1243	5	10	by	by	ADP
ejpam-1243	5	11	applying	apply	VERB
ejpam-1243	5	12	a	a	DET
ejpam-1243	5	13	method	method	NOUN
ejpam-1243	5	14	of	of	ADP
ejpam-1243	5	15	bellman	bellman	NOUN
ejpam-1243	5	16	et	et	PROPN
ejpam-1243	5	17	al	al	PROPN
ejpam-1243	5	18	.	.	PROPN
ejpam-1243	5	19	stresses	stress	NOUN
ejpam-1243	5	20	,	,	PUNCT
ejpam-1243	5	21	displacement	displacement	NOUN
ejpam-1243	5	22	and	and	CCONJ
ejpam-1243	5	23	temperature	temperature	NOUN
ejpam-1243	5	24	distributions	distribution	NOUN
ejpam-1243	5	25	have	have	AUX
ejpam-1243	5	26	been	be	AUX
ejpam-1243	5	27	computed	compute	VERB
ejpam-1243	5	28	numerically	numerically	ADV
ejpam-1243	5	29	and	and	CCONJ
ejpam-1243	5	30	presented	present	VERB
ejpam-1243	5	31	graphically	graphically	ADV
ejpam-1243	5	32	in	in	ADP
ejpam-1243	5	33	a	a	DET
ejpam-1243	5	34	number	number	NOUN
ejpam-1243	5	35	of	of	ADP
ejpam-1243	5	36	figures	figure	NOUN
ejpam-1243	5	37	.	.	PUNCT
ejpam-1243	6	1	a	a	DET
ejpam-1243	6	2	comparison	comparison	NOUN
ejpam-1243	6	3	of	of	ADP
ejpam-1243	6	4	the	the	DET
ejpam-1243	6	5	results	result	NOUN
ejpam-1243	6	6	for	for	ADP
ejpam-1243	6	7	different	different	ADJ
ejpam-1243	6	8	theories	theory	NOUN
ejpam-1243	6	9	(	(	PUNCT
ejpam-1243	6	10	gn	gn	PROPN
ejpam-1243	6	11	-	-	PUNCT
ejpam-1243	6	12	ii	ii	PROPN
ejpam-1243	6	13	and	and	CCONJ
ejpam-1243	6	14	three	three	NUM
ejpam-1243	6	15	-	-	PUNCT
ejpam-1243	6	16	phase	phase	NOUN
ejpam-1243	6	17	-	-	PUNCT
ejpam-1243	6	18	lag	lag	NOUN
ejpam-1243	6	19	model	model	NOUN
ejpam-1243	6	20	)	)	PUNCT
ejpam-1243	6	21	and	and	CCONJ
ejpam-1243	6	22	for	for	ADP
ejpam-1243	6	23	two	two	NUM
ejpam-1243	6	24	different	different	ADJ
ejpam-1243	6	25	methods	method	NOUN
ejpam-1243	6	26	are	be	AUX
ejpam-1243	6	27	presented	present	VERB
ejpam-1243	6	28	.	.	PUNCT
ejpam-1243	7	1	2000	2000	NUM
ejpam-1243	7	2	mathematics	mathematic	NOUN
ejpam-1243	7	3	subject	subject	NOUN
ejpam-1243	7	4	classifications	classification	NOUN
ejpam-1243	7	5	:	:	PUNCT
ejpam-1243	7	6	74f	74f	NOUN
ejpam-1243	7	7	key	key	ADJ
ejpam-1243	7	8	words	word	NOUN
ejpam-1243	7	9	and	and	CCONJ
ejpam-1243	7	10	phrases	phrase	NOUN
ejpam-1243	7	11	:	:	PUNCT
ejpam-1243	7	12	generalized	generalized	ADJ
ejpam-1243	7	13	thermo	thermo	NOUN
ejpam-1243	7	14	-	-	PUNCT
ejpam-1243	7	15	elasticity	elasticity	NOUN
ejpam-1243	7	16	,	,	PUNCT
ejpam-1243	7	17	energy	energy	NOUN
ejpam-1243	7	18	dissipation	dissipation	NOUN
ejpam-1243	7	19	,	,	PUNCT
ejpam-1243	7	20	laplace	laplace	NOUN
ejpam-1243	7	21	transform	transform	NOUN
ejpam-1243	7	22	,	,	PUNCT
ejpam-1243	7	23	eigenvalue	eigenvalue	NOUN
ejpam-1243	7	24	approach	approach	NOUN
ejpam-1243	7	25	,	,	PUNCT
ejpam-1243	7	26	galerkin	galerkin	PROPN
ejpam-1243	7	27	finite	finite	PROPN
ejpam-1243	7	28	element	element	NOUN
ejpam-1243	7	29	technique	technique	NOUN
ejpam-1243	7	30	.	.	PUNCT
ejpam-1243	8	1	1	1	X
ejpam-1243	8	2	.	.	X
ejpam-1243	8	3	introduction	introduction	NOUN
ejpam-1243	8	4	generalized	generalize	VERB
ejpam-1243	8	5	thermo	thermo	NOUN
ejpam-1243	8	6	-	-	PUNCT
ejpam-1243	8	7	elasticity	elasticity	NOUN
ejpam-1243	8	8	theories	theory	NOUN
ejpam-1243	8	9	have	have	AUX
ejpam-1243	8	10	been	be	AUX
ejpam-1243	8	11	developed	develop	VERB
ejpam-1243	8	12	with	with	ADP
ejpam-1243	8	13	the	the	DET
ejpam-1243	8	14	objective	objective	NOUN
ejpam-1243	8	15	of	of	ADP
ejpam-1243	8	16	removing	remove	VERB
ejpam-1243	8	17	the	the	DET
ejpam-1243	8	18	paradox	paradox	NOUN
ejpam-1243	8	19	of	of	ADP
ejpam-1243	8	20	infinite	infinite	ADJ
ejpam-1243	8	21	speed	speed	NOUN
ejpam-1243	8	22	of	of	ADP
ejpam-1243	8	23	thermal	thermal	ADJ
ejpam-1243	8	24	signals	signal	NOUN
ejpam-1243	8	25	inherent	inherent	ADJ
ejpam-1243	8	26	in	in	ADP
ejpam-1243	8	27	the	the	DET
ejpam-1243	8	28	conventional	conventional	ADJ
ejpam-1243	8	29	coupled	couple	VERB
ejpam-1243	8	30	dynamical	dynamical	ADJ
ejpam-1243	8	31	theory	theory	NOUN
ejpam-1243	8	32	of	of	ADP
ejpam-1243	8	33	thermo	thermo	NOUN
ejpam-1243	8	34	-	-	PUNCT
ejpam-1243	8	35	elasticity	elasticity	NOUN
ejpam-1243	8	36	in	in	ADP
ejpam-1243	8	37	which	which	PRON
ejpam-1243	8	38	parabolic	parabolic	ADJ
ejpam-1243	8	39	type	type	NOUN
ejpam-1243	8	40	heat	heat	NOUN
ejpam-1243	8	41	conduction	conduction	NOUN
ejpam-1243	8	42	equation	equation	NOUN
ejpam-1243	8	43	is	be	AUX
ejpam-1243	8	44	considered	consider	VERB
ejpam-1243	8	45	,	,	PUNCT
ejpam-1243	8	46	contradict	contradict	VERB
ejpam-1243	8	47	physical	physical	ADJ
ejpam-1243	8	48	facts	fact	NOUN
ejpam-1243	8	49	.	.	PUNCT
ejpam-1243	9	1	during	during	ADP
ejpam-1243	9	2	the	the	DET
ejpam-1243	9	3	last	last	ADJ
ejpam-1243	9	4	three	three	NUM
ejpam-1243	9	5	decades	decade	NOUN
ejpam-1243	9	6	,	,	PUNCT
ejpam-1243	9	7	generalized	generalized	ADJ
ejpam-1243	9	8	theories	theory	NOUN
ejpam-1243	9	9	involving	involve	VERB
ejpam-1243	9	10	finite	finite	ADJ
ejpam-1243	9	11	speed	speed	NOUN
ejpam-1243	9	12	of	of	ADP
ejpam-1243	9	13	heat	heat	NOUN
ejpam-1243	9	14	transportation	transportation	NOUN
ejpam-1243	9	15	(	(	PUNCT
ejpam-1243	9	16	hyperbolic	hyperbolic	ADJ
ejpam-1243	9	17	heat	heat	NOUN
ejpam-1243	9	18	transport	transport	NOUN
ejpam-1243	9	19	equation	equation	NOUN
ejpam-1243	9	20	)	)	PUNCT
ejpam-1243	9	21	in	in	ADP
ejpam-1243	9	22	elastic	elastic	ADJ
ejpam-1243	9	23	solids	solid	NOUN
ejpam-1243	9	24	have	have	AUX
ejpam-1243	9	25	been	be	AUX
ejpam-1243	9	26	developed	develop	VERB
ejpam-1243	9	27	to	to	PART
ejpam-1243	9	28	remove	remove	VERB
ejpam-1243	9	29	this	this	DET
ejpam-1243	9	30	paradox	paradox	NOUN
ejpam-1243	9	31	.	.	PUNCT
ejpam-1243	10	1	the	the	DET
ejpam-1243	10	2	first	first	ADJ
ejpam-1243	10	3	generalization	generalization	NOUN
ejpam-1243	10	4	is	be	AUX
ejpam-1243	10	5	proposed	propose	VERB
ejpam-1243	10	6	by	by	ADP
ejpam-1243	10	7	lord	lord	PROPN
ejpam-1243	10	8	and	and	CCONJ
ejpam-1243	10	9	shulman	shulman	PROPN
ejpam-1243	11	1	[	[	X
ejpam-1243	11	2	23	23	NUM
ejpam-1243	11	3	]	]	PUNCT
ejpam-1243	11	4	and	and	CCONJ
ejpam-1243	11	5	is	be	AUX
ejpam-1243	11	6	known	know	VERB
ejpam-1243	11	7	as	as	ADP
ejpam-1243	11	8	extended	extended	ADJ
ejpam-1243	11	9	thermo	thermo	NOUN
ejpam-1243	11	10	-	-	PUNCT
ejpam-1243	11	11	elasticity	elasticity	NOUN
ejpam-1243	11	12	theory	theory	NOUN
ejpam-1243	11	13	(	(	PUNCT
ejpam-1243	11	14	ete	ete	NOUN
ejpam-1243	11	15	)	)	PUNCT
ejpam-1243	11	16	,	,	PUNCT
ejpam-1243	11	17	which	which	PRON
ejpam-1243	11	18	involves	involve	VERB
ejpam-1243	11	19	one	one	NUM
ejpam-1243	11	20	thermal	thermal	ADJ
ejpam-1243	11	21	relaxation	relaxation	NOUN
ejpam-1243	11	22	time	time	NOUN
ejpam-1243	11	23	parameter	parameter	NOUN
ejpam-1243	11	24	(	(	PUNCT
ejpam-1243	11	25	single	single	ADJ
ejpam-1243	11	26	-	-	PUNCT
ejpam-1243	11	27	phase	phase	NOUN
ejpam-1243	11	28	-	-	PUNCT
ejpam-1243	11	29	lag	lag	NOUN
ejpam-1243	11	30	model	model	NOUN
ejpam-1243	11	31	)	)	PUNCT
ejpam-1243	11	32	.	.	PUNCT
ejpam-1243	12	1	the	the	DET
ejpam-1243	12	2	second	second	ADJ
ejpam-1243	12	3	generalization	generalization	NOUN
ejpam-1243	12	4	to	to	ADP
ejpam-1243	12	5	the	the	DET
ejpam-1243	12	6	coupled	couple	VERB
ejpam-1243	12	7	∗corresponding	∗corresponde	VERB
ejpam-1243	12	8	author	author	NOUN
ejpam-1243	12	9	.	.	PUNCT
ejpam-1243	13	1	email	email	NOUN
ejpam-1243	13	2	addresses	address	NOUN
ejpam-1243	13	3	:	:	PUNCT
ejpam-1243	13	4	akmathemati	akmathemati	PROPN
ejpam-1243	13	5	s	s	PROPN
ejpam-1243	13	6	�	�	PROPN
ejpam-1243	13	7	yahoo	yahoo	PROPN
ejpam-1243	13	8	.	.	PUNCT
ejpam-1243	14	1	om	om	PROPN
ejpam-1243	14	2	(	(	PUNCT
ejpam-1243	14	3	a.	a.	PROPN
ejpam-1243	14	4	kar	kar	PROPN
ejpam-1243	14	5	)	)	PUNCT
ejpam-1243	14	6	,	,	PUNCT
ejpam-1243	15	1	k_mri	k_mri	PROPN
ejpam-1243	15	2	�	�	SYM
ejpam-1243	15	3	yahoo	yahoo	PROPN
ejpam-1243	15	4	.	.	PUNCT
ejpam-1243	15	5	om	om	PROPN
ejpam-1243	15	6	(	(	PUNCT
ejpam-1243	15	7	m.	m.	NOUN
ejpam-1243	15	8	kanoria	kanoria	PROPN
ejpam-1243	15	9	)	)	PUNCT
ejpam-1243	15	10	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1243	16	1	304	304	NUM
ejpam-1243	16	2	c	c	X
ejpam-1243	16	3	©	©	PROPN
ejpam-1243	16	4	2011	2011	NUM
ejpam-1243	16	5	ejpam	ejpam	VERB
ejpam-1243	16	6	all	all	DET
ejpam-1243	16	7	rights	right	NOUN
ejpam-1243	16	8	reserved	reserve	VERB
ejpam-1243	16	9	.	.	PUNCT
ejpam-1243	17	1	a.	a.	PROPN
ejpam-1243	17	2	kar	kar	PROPN
ejpam-1243	17	3	,	,	PUNCT
ejpam-1243	17	4	m.	m.	NOUN
ejpam-1243	17	5	kanoria	kanoria	PROPN
ejpam-1243	17	6	/	/	SYM
ejpam-1243	17	7	eur	eur	PROPN
ejpam-1243	17	8	.	.	PUNCT
ejpam-1243	18	1	j.	j.	PROPN
ejpam-1243	18	2	pure	pure	PROPN
ejpam-1243	18	3	appl	appl	PROPN
ejpam-1243	18	4	.	.	PROPN
ejpam-1243	18	5	math	math	PROPN
ejpam-1243	18	6	,	,	PUNCT
ejpam-1243	18	7	4	4	NUM
ejpam-1243	18	8	(	(	PUNCT
ejpam-1243	18	9	2011	2011	NUM
ejpam-1243	18	10	)	)	PUNCT
ejpam-1243	18	11	,	,	PUNCT
ejpam-1243	18	12	304	304	NUM
ejpam-1243	18	13	-	-	SYM
ejpam-1243	18	14	321	321	NUM
ejpam-1243	18	15	305	305	NUM
ejpam-1243	18	16	thermo	thermo	NOUN
ejpam-1243	18	17	-	-	PUNCT
ejpam-1243	18	18	elasticity	elasticity	NOUN
ejpam-1243	18	19	theory	theory	NOUN
ejpam-1243	18	20	is	be	AUX
ejpam-1243	18	21	developed	develop	VERB
ejpam-1243	18	22	by	by	ADP
ejpam-1243	18	23	green	green	ADJ
ejpam-1243	18	24	and	and	CCONJ
ejpam-1243	18	25	lindsay	lindsay	VERB
ejpam-1243	19	1	[	[	X
ejpam-1243	19	2	12	12	NUM
ejpam-1243	19	3	]	]	PUNCT
ejpam-1243	19	4	,	,	PUNCT
ejpam-1243	19	5	which	which	PRON
ejpam-1243	19	6	involving	involve	VERB
ejpam-1243	19	7	two	two	NUM
ejpam-1243	19	8	relaxation	relaxation	NOUN
ejpam-1243	19	9	times	time	NOUN
ejpam-1243	19	10	is	be	AUX
ejpam-1243	19	11	known	know	VERB
ejpam-1243	19	12	as	as	ADP
ejpam-1243	19	13	temperature	temperature	NOUN
ejpam-1243	19	14	rate	rate	NOUN
ejpam-1243	19	15	dependent	dependent	ADJ
ejpam-1243	19	16	thermo	thermo	NOUN
ejpam-1243	19	17	-	-	PUNCT
ejpam-1243	19	18	elasticity	elasticity	NOUN
ejpam-1243	19	19	(	(	PUNCT
ejpam-1243	19	20	trdte	trdte	PROPN
ejpam-1243	19	21	)	)	PUNCT
ejpam-1243	19	22	.	.	PUNCT
ejpam-1243	20	1	experimental	experimental	ADJ
ejpam-1243	20	2	studies	study	NOUN
ejpam-1243	20	3	indicate	indicate	VERB
ejpam-1243	20	4	that	that	SCONJ
ejpam-1243	20	5	the	the	DET
ejpam-1243	20	6	relaxation	relaxation	NOUN
ejpam-1243	20	7	times	time	NOUN
ejpam-1243	20	8	can	can	AUX
ejpam-1243	20	9	be	be	AUX
ejpam-1243	20	10	of	of	ADP
ejpam-1243	20	11	relevance	relevance	NOUN
ejpam-1243	20	12	in	in	ADP
ejpam-1243	20	13	the	the	DET
ejpam-1243	20	14	cases	case	NOUN
ejpam-1243	20	15	involving	involve	VERB
ejpam-1243	20	16	a	a	DET
ejpam-1243	20	17	rapidly	rapidly	ADV
ejpam-1243	20	18	propagating	propagate	VERB
ejpam-1243	20	19	crack	crack	NOUN
ejpam-1243	20	20	tip	tip	NOUN
ejpam-1243	20	21	,	,	PUNCT
ejpam-1243	20	22	shock	shock	NOUN
ejpam-1243	20	23	waves	wave	NOUN
ejpam-1243	20	24	propagation	propagation	NOUN
ejpam-1243	20	25	,	,	PUNCT
ejpam-1243	20	26	laser	laser	NOUN
ejpam-1243	20	27	technique	technique	NOUN
ejpam-1243	20	28	etc	etc	X
ejpam-1243	20	29	.	.	X
ejpam-1243	20	30	because	because	SCONJ
ejpam-1243	20	31	of	of	ADP
ejpam-1243	20	32	the	the	DET
ejpam-1243	20	33	experimental	experimental	ADJ
ejpam-1243	20	34	evidence	evidence	NOUN
ejpam-1243	20	35	in	in	ADP
ejpam-1243	20	36	support	support	NOUN
ejpam-1243	20	37	of	of	ADP
ejpam-1243	20	38	finiteness	finiteness	NOUN
ejpam-1243	20	39	of	of	ADP
ejpam-1243	20	40	heat	heat	NOUN
ejpam-1243	20	41	propagation	propagation	NOUN
ejpam-1243	20	42	speed	speed	NOUN
ejpam-1243	20	43	,	,	PUNCT
ejpam-1243	20	44	the	the	DET
ejpam-1243	20	45	generalized	generalized	ADJ
ejpam-1243	20	46	thermoelasticity	thermoelasticity	NOUN
ejpam-1243	20	47	theories	theory	NOUN
ejpam-1243	20	48	are	be	AUX
ejpam-1243	20	49	considered	consider	VERB
ejpam-1243	20	50	to	to	PART
ejpam-1243	20	51	be	be	AUX
ejpam-1243	20	52	more	more	ADV
ejpam-1243	20	53	realistic	realistic	ADJ
ejpam-1243	20	54	than	than	ADP
ejpam-1243	20	55	the	the	DET
ejpam-1243	20	56	conventional	conventional	ADJ
ejpam-1243	20	57	theory	theory	NOUN
ejpam-1243	20	58	in	in	ADP
ejpam-1243	20	59	dealing	deal	VERB
ejpam-1243	20	60	with	with	ADP
ejpam-1243	20	61	practical	practical	ADJ
ejpam-1243	20	62	problems	problem	NOUN
ejpam-1243	20	63	involving	involve	VERB
ejpam-1243	20	64	very	very	ADV
ejpam-1243	20	65	large	large	ADJ
ejpam-1243	20	66	heat	heat	NOUN
ejpam-1243	20	67	fluxes	flux	NOUN
ejpam-1243	20	68	at	at	ADP
ejpam-1243	20	69	short	short	ADJ
ejpam-1243	20	70	intervals	interval	NOUN
ejpam-1243	20	71	like	like	ADP
ejpam-1243	20	72	those	those	PRON
ejpam-1243	20	73	occurring	occur	VERB
ejpam-1243	20	74	in	in	ADP
ejpam-1243	20	75	laser	laser	NOUN
ejpam-1243	20	76	units	unit	NOUN
ejpam-1243	20	77	and	and	CCONJ
ejpam-1243	20	78	energy	energy	NOUN
ejpam-1243	20	79	channels	channel	NOUN
ejpam-1243	20	80	.	.	PUNCT
ejpam-1243	21	1	the	the	DET
ejpam-1243	21	2	third	third	ADJ
ejpam-1243	21	3	generalization	generalization	NOUN
ejpam-1243	21	4	is	be	AUX
ejpam-1243	21	5	known	know	VERB
ejpam-1243	21	6	as	as	ADP
ejpam-1243	21	7	low	low	ADJ
ejpam-1243	21	8	-	-	PUNCT
ejpam-1243	21	9	temperature	temperature	NOUN
ejpam-1243	21	10	thermo	thermo	NOUN
ejpam-1243	21	11	-	-	PUNCT
ejpam-1243	21	12	elasticity	elasticity	NOUN
ejpam-1243	21	13	introduced	introduce	VERB
ejpam-1243	21	14	by	by	ADP
ejpam-1243	21	15	hetnarski	hetnarski	NOUN
ejpam-1243	21	16	and	and	CCONJ
ejpam-1243	21	17	ignaczak	ignaczak	NOUN
ejpam-1243	21	18	[	[	X
ejpam-1243	21	19	16	16	NUM
ejpam-1243	21	20	]	]	PUNCT
ejpam-1243	21	21	called	call	VERB
ejpam-1243	21	22	h	h	NOUN
ejpam-1243	21	23	-	-	PUNCT
ejpam-1243	21	24	i	i	PROPN
ejpam-1243	21	25	theory	theory	NOUN
ejpam-1243	21	26	.	.	PUNCT
ejpam-1243	22	1	most	most	ADJ
ejpam-1243	22	2	engineering	engineering	NOUN
ejpam-1243	22	3	materials	material	NOUN
ejpam-1243	22	4	such	such	ADJ
ejpam-1243	22	5	as	as	ADP
ejpam-1243	22	6	metals	metal	NOUN
ejpam-1243	22	7	possess	possess	VERB
ejpam-1243	22	8	a	a	DET
ejpam-1243	22	9	relatively	relatively	ADV
ejpam-1243	22	10	high	high	ADJ
ejpam-1243	22	11	rate	rate	NOUN
ejpam-1243	22	12	of	of	ADP
ejpam-1243	22	13	thermal	thermal	ADJ
ejpam-1243	22	14	damping	damping	NOUN
ejpam-1243	22	15	and	and	CCONJ
ejpam-1243	22	16	thus	thus	ADV
ejpam-1243	22	17	are	be	AUX
ejpam-1243	22	18	not	not	PART
ejpam-1243	22	19	suitable	suitable	ADJ
ejpam-1243	22	20	for	for	ADP
ejpam-1243	22	21	use	use	NOUN
ejpam-1243	22	22	in	in	ADP
ejpam-1243	22	23	experiments	experiment	NOUN
ejpam-1243	22	24	concerning	concern	VERB
ejpam-1243	22	25	second	second	ADJ
ejpam-1243	22	26	sound	sound	ADJ
ejpam-1243	22	27	propagation	propagation	NOUN
ejpam-1243	22	28	.	.	PUNCT
ejpam-1243	23	1	but	but	CCONJ
ejpam-1243	23	2	,	,	PUNCT
ejpam-1243	23	3	given	give	VERB
ejpam-1243	23	4	the	the	DET
ejpam-1243	23	5	state	state	NOUN
ejpam-1243	23	6	of	of	ADP
ejpam-1243	23	7	recent	recent	ADJ
ejpam-1243	23	8	advances	advance	NOUN
ejpam-1243	23	9	in	in	ADP
ejpam-1243	23	10	material	material	NOUN
ejpam-1243	23	11	science	science	NOUN
ejpam-1243	23	12	,	,	PUNCT
ejpam-1243	23	13	it	it	PRON
ejpam-1243	23	14	may	may	AUX
ejpam-1243	23	15	be	be	AUX
ejpam-1243	23	16	possible	possible	ADJ
ejpam-1243	23	17	in	in	ADP
ejpam-1243	23	18	the	the	DET
ejpam-1243	23	19	foreseeable	foreseeable	ADJ
ejpam-1243	23	20	future	future	NOUN
ejpam-1243	23	21	to	to	PART
ejpam-1243	23	22	identify	identify	VERB
ejpam-1243	23	23	(	(	PUNCT
ejpam-1243	23	24	or	or	CCONJ
ejpam-1243	23	25	even	even	ADV
ejpam-1243	23	26	manufacture	manufacture	VERB
ejpam-1243	23	27	for	for	ADP
ejpam-1243	23	28	laboratory	laboratory	NOUN
ejpam-1243	23	29	purposes	purpose	NOUN
ejpam-1243	23	30	)	)	PUNCT
ejpam-1243	23	31	an	an	DET
ejpam-1243	23	32	idealized	idealized	ADJ
ejpam-1243	23	33	material	material	NOUN
ejpam-1243	23	34	for	for	ADP
ejpam-1243	23	35	the	the	DET
ejpam-1243	23	36	purpose	purpose	NOUN
ejpam-1243	23	37	of	of	ADP
ejpam-1243	23	38	studying	study	VERB
ejpam-1243	23	39	the	the	DET
ejpam-1243	23	40	propagation	propagation	NOUN
ejpam-1243	23	41	of	of	ADP
ejpam-1243	23	42	thermal	thermal	ADJ
ejpam-1243	23	43	waves	wave	NOUN
ejpam-1243	23	44	at	at	ADP
ejpam-1243	23	45	finite	finite	ADJ
ejpam-1243	23	46	speed	speed	NOUN
ejpam-1243	23	47	.	.	PUNCT
ejpam-1243	24	1	the	the	DET
ejpam-1243	24	2	fourth	fourth	ADJ
ejpam-1243	24	3	generalization	generalization	NOUN
ejpam-1243	24	4	is	be	AUX
ejpam-1243	24	5	concerned	concern	VERB
ejpam-1243	24	6	with	with	ADP
ejpam-1243	24	7	the	the	DET
ejpam-1243	24	8	thermo	thermo	NOUN
ejpam-1243	24	9	-	-	PUNCT
ejpam-1243	24	10	elasticity	elasticity	NOUN
ejpam-1243	24	11	without	without	ADP
ejpam-1243	24	12	energy	energy	NOUN
ejpam-1243	24	13	dissipation	dissipation	NOUN
ejpam-1243	24	14	(	(	PUNCT
ejpam-1243	24	15	tewoed	tewoed	NOUN
ejpam-1243	24	16	)	)	PUNCT
ejpam-1243	24	17	and	and	CCONJ
ejpam-1243	24	18	thermoelasticity	thermoelasticity	NOUN
ejpam-1243	24	19	with	with	ADP
ejpam-1243	24	20	energy	energy	NOUN
ejpam-1243	24	21	dissipation	dissipation	NOUN
ejpam-1243	24	22	(	(	PUNCT
ejpam-1243	24	23	tewed	tewe	VERB
ejpam-1243	24	24	)	)	PUNCT
ejpam-1243	24	25	introduced	introduce	VERB
ejpam-1243	24	26	by	by	ADP
ejpam-1243	24	27	green	green	ADJ
ejpam-1243	24	28	and	and	CCONJ
ejpam-1243	24	29	naghdi	naghdi	NOUN
ejpam-1243	24	30	[	[	X
ejpam-1243	24	31	13	13	NUM
ejpam-1243	24	32	,	,	PUNCT
ejpam-1243	24	33	14	14	NUM
ejpam-1243	24	34	,	,	PUNCT
ejpam-1243	24	35	15	15	NUM
ejpam-1243	24	36	]	]	PUNCT
ejpam-1243	24	37	and	and	CCONJ
ejpam-1243	24	38	provides	provide	VERB
ejpam-1243	24	39	sufficient	sufficient	ADJ
ejpam-1243	24	40	basic	basic	ADJ
ejpam-1243	24	41	modifications	modification	NOUN
ejpam-1243	24	42	in	in	ADP
ejpam-1243	24	43	the	the	DET
ejpam-1243	24	44	constitutive	constitutive	ADJ
ejpam-1243	24	45	equations	equation	NOUN
ejpam-1243	24	46	that	that	PRON
ejpam-1243	24	47	permit	permit	VERB
ejpam-1243	24	48	treatment	treatment	NOUN
ejpam-1243	24	49	of	of	ADP
ejpam-1243	24	50	a	a	DET
ejpam-1243	24	51	much	much	ADV
ejpam-1243	24	52	wider	wide	ADJ
ejpam-1243	24	53	class	class	NOUN
ejpam-1243	24	54	of	of	ADP
ejpam-1243	24	55	heat	heat	NOUN
ejpam-1243	24	56	flow	flow	NOUN
ejpam-1243	24	57	problems	problem	NOUN
ejpam-1243	24	58	,	,	PUNCT
ejpam-1243	24	59	labelled	label	VERB
ejpam-1243	24	60	as	as	ADP
ejpam-1243	24	61	types	type	NOUN
ejpam-1243	24	62	i	i	PRON
ejpam-1243	24	63	,	,	PUNCT
ejpam-1243	24	64	ii	ii	PROPN
ejpam-1243	24	65	,	,	PUNCT
ejpam-1243	24	66	iii	iii	PROPN
ejpam-1243	24	67	.	.	PUNCT
ejpam-1243	25	1	the	the	DET
ejpam-1243	25	2	natures	nature	NOUN
ejpam-1243	25	3	of	of	ADP
ejpam-1243	25	4	these	these	DET
ejpam-1243	25	5	three	three	NUM
ejpam-1243	25	6	types	type	NOUN
ejpam-1243	25	7	of	of	ADP
ejpam-1243	25	8	constitutive	constitutive	ADJ
ejpam-1243	25	9	equations	equation	NOUN
ejpam-1243	25	10	are	be	AUX
ejpam-1243	25	11	such	such	ADJ
ejpam-1243	25	12	that	that	SCONJ
ejpam-1243	25	13	when	when	SCONJ
ejpam-1243	25	14	the	the	DET
ejpam-1243	25	15	respective	respective	ADJ
ejpam-1243	25	16	theories	theory	NOUN
ejpam-1243	25	17	are	be	AUX
ejpam-1243	25	18	linearized	linearize	VERB
ejpam-1243	25	19	,	,	PUNCT
ejpam-1243	25	20	typei	typei	PROPN
ejpam-1243	25	21	is	be	AUX
ejpam-1243	25	22	the	the	DET
ejpam-1243	25	23	same	same	ADJ
ejpam-1243	25	24	as	as	ADP
ejpam-1243	25	25	the	the	DET
ejpam-1243	25	26	classical	classical	ADJ
ejpam-1243	25	27	heat	heat	NOUN
ejpam-1243	25	28	equation	equation	NOUN
ejpam-1243	25	29	(	(	PUNCT
ejpam-1243	25	30	based	base	VERB
ejpam-1243	25	31	on	on	ADP
ejpam-1243	25	32	fourieršs	fourieršs	PROPN
ejpam-1243	25	33	law	law	PROPN
ejpam-1243	25	34	)	)	PUNCT
ejpam-1243	25	35	whereas	whereas	SCONJ
ejpam-1243	25	36	the	the	DET
ejpam-1243	25	37	linearized	linearize	VERB
ejpam-1243	25	38	versions	version	NOUN
ejpam-1243	25	39	of	of	ADP
ejpam-1243	25	40	type	type	NOUN
ejpam-1243	25	41	-	-	PUNCT
ejpam-1243	25	42	ii	ii	NOUN
ejpam-1243	25	43	and	and	CCONJ
ejpam-1243	25	44	type	type	NOUN
ejpam-1243	25	45	-	-	PUNCT
ejpam-1243	25	46	iii	iii	NOUN
ejpam-1243	25	47	theories	theory	NOUN
ejpam-1243	25	48	permit	permit	VERB
ejpam-1243	25	49	propagation	propagation	NOUN
ejpam-1243	25	50	of	of	ADP
ejpam-1243	25	51	thermal	thermal	ADJ
ejpam-1243	25	52	waves	wave	NOUN
ejpam-1243	25	53	at	at	ADP
ejpam-1243	25	54	finite	finite	ADJ
ejpam-1243	25	55	speed	speed	NOUN
ejpam-1243	25	56	.	.	PUNCT
ejpam-1243	26	1	the	the	DET
ejpam-1243	26	2	entropy	entropy	PROPN
ejpam-1243	26	3	flux	flux	PROPN
ejpam-1243	26	4	vector	vector	PROPN
ejpam-1243	26	5	in	in	ADP
ejpam-1243	26	6	type	type	NOUN
ejpam-1243	26	7	ii	ii	PROPN
ejpam-1243	26	8	and	and	CCONJ
ejpam-1243	26	9	iii	iii	PROPN
ejpam-1243	26	10	(	(	PUNCT
ejpam-1243	26	11	i.e.	i.e.	X
ejpam-1243	26	12	thermo	thermo	NOUN
ejpam-1243	26	13	-	-	PUNCT
ejpam-1243	26	14	elasticity	elasticity	NOUN
ejpam-1243	26	15	without	without	ADP
ejpam-1243	26	16	energy	energy	NOUN
ejpam-1243	26	17	dissipation	dissipation	NOUN
ejpam-1243	26	18	(	(	PUNCT
ejpam-1243	26	19	tewoed	tewoed	NOUN
ejpam-1243	26	20	)	)	PUNCT
ejpam-1243	26	21	and	and	CCONJ
ejpam-1243	26	22	thermo	thermo	NOUN
ejpam-1243	26	23	-	-	PUNCT
ejpam-1243	26	24	elasticity	elasticity	NOUN
ejpam-1243	26	25	with	with	ADP
ejpam-1243	26	26	energy	energy	NOUN
ejpam-1243	26	27	dissipation	dissipation	NOUN
ejpam-1243	26	28	(	(	PUNCT
ejpam-1243	26	29	tewed	tewe	VERB
ejpam-1243	26	30	)	)	PUNCT
ejpam-1243	26	31	)	)	PUNCT
ejpam-1243	26	32	models	model	NOUN
ejpam-1243	26	33	are	be	AUX
ejpam-1243	26	34	determined	determine	VERB
ejpam-1243	26	35	in	in	ADP
ejpam-1243	26	36	terms	term	NOUN
ejpam-1243	26	37	of	of	ADP
ejpam-1243	26	38	the	the	DET
ejpam-1243	26	39	potential	potential	NOUN
ejpam-1243	26	40	that	that	PRON
ejpam-1243	26	41	also	also	ADV
ejpam-1243	26	42	determines	determine	VERB
ejpam-1243	26	43	stresses	stress	NOUN
ejpam-1243	26	44	.	.	PUNCT
ejpam-1243	27	1	when	when	SCONJ
ejpam-1243	27	2	fourier	fouri	ADJ
ejpam-1243	27	3	conductivity	conductivity	NOUN
ejpam-1243	27	4	is	be	AUX
ejpam-1243	27	5	dominant	dominant	ADJ
ejpam-1243	27	6	the	the	DET
ejpam-1243	27	7	temperature	temperature	NOUN
ejpam-1243	27	8	equation	equation	NOUN
ejpam-1243	27	9	reduces	reduce	VERB
ejpam-1243	27	10	to	to	ADP
ejpam-1243	27	11	classical	classical	ADJ
ejpam-1243	27	12	fourier	fourier	NOUN
ejpam-1243	27	13	law	law	NOUN
ejpam-1243	27	14	of	of	ADP
ejpam-1243	27	15	heat	heat	NOUN
ejpam-1243	27	16	conduction	conduction	NOUN
ejpam-1243	27	17	and	and	CCONJ
ejpam-1243	27	18	when	when	SCONJ
ejpam-1243	27	19	the	the	DET
ejpam-1243	27	20	effect	effect	NOUN
ejpam-1243	27	21	of	of	ADP
ejpam-1243	27	22	conductivity	conductivity	NOUN
ejpam-1243	27	23	is	be	AUX
ejpam-1243	27	24	negligible	negligible	ADJ
ejpam-1243	27	25	the	the	DET
ejpam-1243	27	26	equation	equation	NOUN
ejpam-1243	27	27	has	have	AUX
ejpam-1243	27	28	undamped	undampe	VERB
ejpam-1243	27	29	thermal	thermal	ADJ
ejpam-1243	27	30	wave	wave	NOUN
ejpam-1243	27	31	solutions	solution	NOUN
ejpam-1243	27	32	without	without	ADP
ejpam-1243	27	33	energy	energy	NOUN
ejpam-1243	27	34	dissipation	dissipation	NOUN
ejpam-1243	27	35	.	.	PUNCT
ejpam-1243	28	1	applying	apply	VERB
ejpam-1243	28	2	the	the	DET
ejpam-1243	28	3	above	above	ADJ
ejpam-1243	28	4	theories	theory	NOUN
ejpam-1243	28	5	of	of	ADP
ejpam-1243	28	6	generalized	generalized	ADJ
ejpam-1243	28	7	thermo	thermo	NOUN
ejpam-1243	28	8	-	-	PUNCT
ejpam-1243	28	9	elasticity	elasticity	NOUN
ejpam-1243	28	10	,	,	PUNCT
ejpam-1243	28	11	several	several	ADJ
ejpam-1243	28	12	problems	problem	NOUN
ejpam-1243	28	13	have	have	AUX
ejpam-1243	28	14	been	be	AUX
ejpam-1243	28	15	solved	solve	VERB
ejpam-1243	28	16	by	by	ADP
ejpam-1243	28	17	bagri	bagri	ADJ
ejpam-1243	28	18	and	and	CCONJ
ejpam-1243	28	19	eslami	eslami	VERB
ejpam-1243	28	20	[	[	X
ejpam-1243	28	21	1	1	NUM
ejpam-1243	28	22	,	,	PUNCT
ejpam-1243	28	23	3	3	NUM
ejpam-1243	28	24	,	,	PUNCT
ejpam-1243	28	25	2	2	NUM
ejpam-1243	28	26	]	]	PUNCT
ejpam-1243	28	27	,	,	PUNCT
ejpam-1243	28	28	kar	kar	PROPN
ejpam-1243	28	29	and	and	CCONJ
ejpam-1243	28	30	kanoria	kanoria	PROPN
ejpam-1243	29	1	[	[	X
ejpam-1243	29	2	17	17	NUM
ejpam-1243	29	3	,	,	PUNCT
ejpam-1243	29	4	18	18	NUM
ejpam-1243	29	5	,	,	PUNCT
ejpam-1243	29	6	19	19	NUM
ejpam-1243	29	7	]	]	PUNCT
ejpam-1243	29	8	,	,	PUNCT
ejpam-1243	29	9	das	das	PROPN
ejpam-1243	29	10	et	et	PROPN
ejpam-1243	29	11	al	al	PROPN
ejpam-1243	29	12	.	.	PUNCT
ejpam-1243	30	1	[	[	X
ejpam-1243	30	2	8	8	NUM
ejpam-1243	30	3	,	,	PUNCT
ejpam-1243	30	4	21	21	NUM
ejpam-1243	30	5	]	]	PUNCT
ejpam-1243	30	6	,	,	PUNCT
ejpam-1243	30	7	roychoudhuri	roychoudhuri	PROPN
ejpam-1243	30	8	and	and	CCONJ
ejpam-1243	30	9	datta	datta	PROPN
ejpam-1243	31	1	[	[	X
ejpam-1243	31	2	29	29	NUM
ejpam-1243	31	3	]	]	PUNCT
ejpam-1243	31	4	,	,	PUNCT
ejpam-1243	31	5	roychoudhury	roychoudhury	NOUN
ejpam-1243	31	6	and	and	CCONJ
ejpam-1243	31	7	bandyopadhyay	bandyopadhyay	NOUN
ejpam-1243	32	1	[	[	X
ejpam-1243	32	2	28	28	NUM
ejpam-1243	32	3	]	]	PUNCT
ejpam-1243	32	4	,	,	PUNCT
ejpam-1243	32	5	chandrasekharaiah	chandrasekharaiah	PROPN
ejpam-1243	33	1	[	[	X
ejpam-1243	33	2	5	5	NUM
ejpam-1243	33	3	,	,	PUNCT
ejpam-1243	33	4	6	6	NUM
ejpam-1243	33	5	]	]	PUNCT
ejpam-1243	33	6	,	,	PUNCT
ejpam-1243	33	7	wang	wang	PROPN
ejpam-1243	33	8	et	et	PROPN
ejpam-1243	33	9	al	al	PROPN
ejpam-1243	33	10	.	.	PUNCT
ejpam-1243	34	1	[	[	X
ejpam-1243	34	2	32	32	NUM
ejpam-1243	34	3	]	]	PUNCT
ejpam-1243	34	4	,	,	PUNCT
ejpam-1243	34	5	ghosh	ghosh	PROPN
ejpam-1243	34	6	and	and	CCONJ
ejpam-1243	34	7	kanoria	kanoria	PROPN
ejpam-1243	35	1	[	[	X
ejpam-1243	35	2	10	10	NUM
ejpam-1243	35	3	,	,	PUNCT
ejpam-1243	35	4	11	11	NUM
ejpam-1243	35	5	]	]	PUNCT
ejpam-1243	35	6	,	,	PUNCT
ejpam-1243	35	7	mallik	mallik	PROPN
ejpam-1243	35	8	and	and	CCONJ
ejpam-1243	35	9	kanoria	kanoria	PROPN
ejpam-1243	36	1	[	[	X
ejpam-1243	36	2	24	24	NUM
ejpam-1243	36	3	]	]	PUNCT
ejpam-1243	36	4	,	,	PUNCT
ejpam-1243	36	5	ootao	ootao	PROPN
ejpam-1243	36	6	et	et	PROPN
ejpam-1243	36	7	al	al	PROPN
ejpam-1243	36	8	.	.	PUNCT
ejpam-1243	37	1	[	[	X
ejpam-1243	37	2	25	25	NUM
ejpam-1243	37	3	]	]	PUNCT
ejpam-1243	37	4	,	,	PUNCT
ejpam-1243	37	5	shao	shao	PROPN
ejpam-1243	37	6	et	et	PROPN
ejpam-1243	37	7	al	al	PROPN
ejpam-1243	37	8	.	.	PUNCT
ejpam-1243	38	1	[	[	X
ejpam-1243	38	2	30	30	NUM
ejpam-1243	38	3	]	]	PUNCT
ejpam-1243	38	4	,	,	PUNCT
ejpam-1243	38	5	wang	wang	PROPN
ejpam-1243	38	6	and	and	CCONJ
ejpam-1243	38	7	mai	mai	PROPN
ejpam-1243	39	1	[	[	X
ejpam-1243	39	2	33	33	NUM
ejpam-1243	39	3	]	]	PUNCT
ejpam-1243	39	4	etc	etc	X
ejpam-1243	39	5	.	.	X
ejpam-1243	40	1	the	the	DET
ejpam-1243	40	2	fifth	fifth	ADJ
ejpam-1243	40	3	generalization	generalization	NOUN
ejpam-1243	40	4	to	to	ADP
ejpam-1243	40	5	the	the	DET
ejpam-1243	40	6	thermo	thermo	NOUN
ejpam-1243	40	7	-	-	PUNCT
ejpam-1243	40	8	elasticity	elasticity	NOUN
ejpam-1243	40	9	theory	theory	NOUN
ejpam-1243	40	10	is	be	AUX
ejpam-1243	40	11	known	know	VERB
ejpam-1243	40	12	as	as	ADP
ejpam-1243	40	13	the	the	DET
ejpam-1243	40	14	dual	dual	ADJ
ejpam-1243	40	15	-	-	PUNCT
ejpam-1243	40	16	phase	phase	NOUN
ejpam-1243	40	17	-	-	PUNCT
ejpam-1243	40	18	lag	lag	NOUN
ejpam-1243	40	19	thermoelasticity	thermoelasticity	NOUN
ejpam-1243	40	20	developed	develop	VERB
ejpam-1243	40	21	by	by	ADP
ejpam-1243	40	22	tzou	tzou	NOUN
ejpam-1243	40	23	[	[	X
ejpam-1243	40	24	31	31	NUM
ejpam-1243	40	25	]	]	PUNCT
ejpam-1243	40	26	and	and	CCONJ
ejpam-1243	40	27	chandrasekhariah	chandrasekhariah	NOUN
ejpam-1243	40	28	[	[	X
ejpam-1243	40	29	7	7	NUM
ejpam-1243	40	30	]	]	PUNCT
ejpam-1243	40	31	.	.	PUNCT
ejpam-1243	41	1	tzou	tzou	NOUN
ejpam-1243	41	2	considered	consider	VERB
ejpam-1243	41	3	microstructural	microstructural	ADJ
ejpam-1243	41	4	effects	effect	NOUN
ejpam-1243	41	5	into	into	ADP
ejpam-1243	41	6	the	the	DET
ejpam-1243	41	7	delayed	delay	VERB
ejpam-1243	41	8	response	response	NOUN
ejpam-1243	41	9	in	in	ADP
ejpam-1243	41	10	time	time	NOUN
ejpam-1243	41	11	in	in	ADP
ejpam-1243	41	12	the	the	DET
ejpam-1243	41	13	macroscopic	macroscopic	ADJ
ejpam-1243	41	14	formulation	formulation	NOUN
ejpam-1243	41	15	by	by	ADP
ejpam-1243	41	16	taking	take	VERB
ejpam-1243	41	17	into	into	ADP
ejpam-1243	41	18	account	account	NOUN
ejpam-1243	41	19	that	that	DET
ejpam-1243	41	20	increase	increase	NOUN
ejpam-1243	41	21	of	of	ADP
ejpam-1243	41	22	the	the	DET
ejpam-1243	41	23	lattice	lattice	NOUN
ejpam-1243	41	24	temperature	temperature	NOUN
ejpam-1243	41	25	is	be	AUX
ejpam-1243	41	26	delayed	delay	VERB
ejpam-1243	41	27	due	due	ADJ
ejpam-1243	41	28	to	to	ADP
ejpam-1243	41	29	photon	photon	NOUN
ejpam-1243	41	30	-	-	PUNCT
ejpam-1243	41	31	electron	electron	NOUN
ejpam-1243	41	32	interactions	interaction	NOUN
ejpam-1243	41	33	on	on	ADP
ejpam-1243	41	34	the	the	DET
ejpam-1243	41	35	macroscopic	macroscopic	ADJ
ejpam-1243	41	36	level	level	NOUN
ejpam-1243	41	37	.	.	PUNCT
ejpam-1243	42	1	tzou	tzou	PROPN
ejpam-1243	43	1	[	[	X
ejpam-1243	43	2	31	31	NUM
ejpam-1243	43	3	]	]	PUNCT
ejpam-1243	43	4	introduced	introduce	VERB
ejpam-1243	43	5	two	two	NUM
ejpam-1243	43	6	-	-	PUNCT
ejpam-1243	43	7	phase	phase	NOUN
ejpam-1243	43	8	-	-	PUNCT
ejpam-1243	43	9	lags	lag	NOUN
ejpam-1243	43	10	to	to	ADP
ejpam-1243	43	11	both	both	CCONJ
ejpam-1243	43	12	the	the	DET
ejpam-1243	43	13	heat	heat	NOUN
ejpam-1243	43	14	flux	flux	NOUN
ejpam-1243	43	15	vector	vector	NOUN
ejpam-1243	43	16	and	and	CCONJ
ejpam-1243	43	17	the	the	DET
ejpam-1243	43	18	temperature	temperature	NOUN
ejpam-1243	43	19	gradient	gradient	NOUN
ejpam-1243	43	20	.	.	PUNCT
ejpam-1243	44	1	according	accord	VERB
ejpam-1243	44	2	to	to	ADP
ejpam-1243	44	3	this	this	DET
ejpam-1243	44	4	model	model	NOUN
ejpam-1243	44	5	,	,	PUNCT
ejpam-1243	44	6	classical	classical	ADJ
ejpam-1243	44	7	fourier	fourier	NOUN
ejpam-1243	44	8	’s	’s	PART
ejpam-1243	44	9	law	law	NOUN
ejpam-1243	44	10	−→q	−→q	NOUN
ejpam-1243	44	11	=	=	PUNCT
ejpam-1243	44	12	−k	−k	PROPN
ejpam-1243	44	13	−→∇	−→∇	PROPN
ejpam-1243	44	14	t	t	PROPN
ejpam-1243	44	15	has	have	AUX
ejpam-1243	44	16	been	be	AUX
ejpam-1243	44	17	replaced	replace	VERB
ejpam-1243	44	18	by	by	ADP
ejpam-1243	44	19	−→q	−→q	PROPN
ejpam-1243	44	20	(	(	PUNCT
ejpam-1243	44	21	p	p	PROPN
ejpam-1243	44	22	,	,	PUNCT
ejpam-1243	44	23	t	t	PROPN
ejpam-1243	44	24	+	+	NOUN
ejpam-1243	44	25	τq	τq	NOUN
ejpam-1243	44	26	)	)	PUNCT
ejpam-1243	45	1	=	=	PUNCT
ejpam-1243	45	2	−k	−k	PROPN
ejpam-1243	45	3	−→∇	−→∇	X
ejpam-1243	45	4	t	t	PROPN
ejpam-1243	45	5	(	(	PUNCT
ejpam-1243	45	6	p	p	PROPN
ejpam-1243	45	7	,	,	PUNCT
ejpam-1243	45	8	t	t	PROPN
ejpam-1243	45	9	+	+	PROPN
ejpam-1243	45	10	τt	τt	PROPN
ejpam-1243	45	11	)	)	PUNCT
ejpam-1243	45	12	,	,	PUNCT
ejpam-1243	45	13	where	where	SCONJ
ejpam-1243	45	14	the	the	DET
ejpam-1243	45	15	temperature	temperature	NOUN
ejpam-1243	45	16	gradient	gradient	NOUN
ejpam-1243	45	17	−→∇	−→∇	PROPN
ejpam-1243	45	18	t	t	NOUN
ejpam-1243	45	19	at	at	ADP
ejpam-1243	45	20	a	a	DET
ejpam-1243	45	21	point	point	NOUN
ejpam-1243	45	22	p	p	NOUN
ejpam-1243	45	23	of	of	ADP
ejpam-1243	45	24	the	the	DET
ejpam-1243	45	25	material	material	NOUN
ejpam-1243	45	26	at	at	ADP
ejpam-1243	45	27	time	time	NOUN
ejpam-1243	45	28	t	t	PROPN
ejpam-1243	46	1	+	+	ADP
ejpam-1243	46	2	τt	τt	NOUN
ejpam-1243	46	3	corresponds	correspond	VERB
ejpam-1243	46	4	to	to	ADP
ejpam-1243	46	5	the	the	DET
ejpam-1243	46	6	heat	heat	NOUN
ejpam-1243	46	7	flux	flux	NOUN
ejpam-1243	46	8	vector	vector	NOUN
ejpam-1243	46	9	−→q	−→q	NOUN
ejpam-1243	46	10	at	at	ADP
ejpam-1243	46	11	the	the	DET
ejpam-1243	46	12	same	same	ADJ
ejpam-1243	46	13	point	point	NOUN
ejpam-1243	46	14	at	at	ADP
ejpam-1243	46	15	time	time	NOUN
ejpam-1243	46	16	t	t	NOUN
ejpam-1243	46	17	+	+	CCONJ
ejpam-1243	46	18	τq	τq	X
ejpam-1243	46	19	.	.	PUNCT
ejpam-1243	47	1	here	here	ADV
ejpam-1243	47	2	k	k	PROPN
ejpam-1243	47	3	is	be	AUX
ejpam-1243	47	4	the	the	DET
ejpam-1243	47	5	thermal	thermal	ADJ
ejpam-1243	47	6	conductivity	conductivity	NOUN
ejpam-1243	47	7	of	of	ADP
ejpam-1243	47	8	the	the	DET
ejpam-1243	47	9	material	material	NOUN
ejpam-1243	47	10	.	.	PUNCT
ejpam-1243	48	1	the	the	DET
ejpam-1243	48	2	delay	delay	NOUN
ejpam-1243	48	3	time	time	NOUN
ejpam-1243	48	4	τt	τt	PROPN
ejpam-1243	48	5	is	be	AUX
ejpam-1243	48	6	interpreted	interpret	VERB
ejpam-1243	48	7	as	as	ADP
ejpam-1243	48	8	that	that	PRON
ejpam-1243	48	9	caused	cause	VERB
ejpam-1243	48	10	by	by	ADP
ejpam-1243	48	11	the	the	DET
ejpam-1243	48	12	microstructural	microstructural	ADJ
ejpam-1243	48	13	interactions	interaction	NOUN
ejpam-1243	48	14	and	and	CCONJ
ejpam-1243	48	15	is	be	AUX
ejpam-1243	48	16	called	call	VERB
ejpam-1243	48	17	the	the	DET
ejpam-1243	48	18	phase	phase	NOUN
ejpam-1243	48	19	-	-	PUNCT
ejpam-1243	48	20	lag	lag	NOUN
ejpam-1243	48	21	of	of	ADP
ejpam-1243	48	22	the	the	DET
ejpam-1243	48	23	temperature	temperature	NOUN
ejpam-1243	48	24	gradient	gradient	NOUN
ejpam-1243	48	25	.	.	PUNCT
ejpam-1243	49	1	the	the	DET
ejpam-1243	49	2	other	other	ADJ
ejpam-1243	49	3	delay	delay	NOUN
ejpam-1243	49	4	time	time	NOUN
ejpam-1243	49	5	τq	τq	PART
ejpam-1243	49	6	is	be	AUX
ejpam-1243	49	7	interpreted	interpret	VERB
ejpam-1243	49	8	as	as	ADP
ejpam-1243	49	9	the	the	DET
ejpam-1243	49	10	relaxation	relaxation	NOUN
ejpam-1243	49	11	time	time	NOUN
ejpam-1243	49	12	due	due	ADJ
ejpam-1243	49	13	a.	a.	PROPN
ejpam-1243	49	14	kar	kar	PROPN
ejpam-1243	49	15	,	,	PUNCT
ejpam-1243	49	16	m.	m.	NOUN
ejpam-1243	49	17	kanoria	kanoria	PROPN
ejpam-1243	49	18	/	/	SYM
ejpam-1243	49	19	eur	eur	PROPN
ejpam-1243	49	20	.	.	PUNCT
ejpam-1243	50	1	j.	j.	PROPN
ejpam-1243	50	2	pure	pure	PROPN
ejpam-1243	50	3	appl	appl	PROPN
ejpam-1243	50	4	.	.	PROPN
ejpam-1243	50	5	math	math	PROPN
ejpam-1243	50	6	,	,	PUNCT
ejpam-1243	50	7	4	4	NUM
ejpam-1243	50	8	(	(	PUNCT
ejpam-1243	50	9	2011	2011	NUM
ejpam-1243	50	10	)	)	PUNCT
ejpam-1243	50	11	,	,	PUNCT
ejpam-1243	50	12	304	304	NUM
ejpam-1243	50	13	-	-	SYM
ejpam-1243	50	14	321	321	NUM
ejpam-1243	50	15	306	306	NUM
ejpam-1243	50	16	to	to	ADP
ejpam-1243	50	17	the	the	DET
ejpam-1243	50	18	fast	fast	ADJ
ejpam-1243	50	19	transient	transient	ADJ
ejpam-1243	50	20	effects	effect	NOUN
ejpam-1243	50	21	of	of	ADP
ejpam-1243	50	22	thermal	thermal	ADJ
ejpam-1243	50	23	inertia	inertia	NOUN
ejpam-1243	50	24	and	and	CCONJ
ejpam-1243	50	25	is	be	AUX
ejpam-1243	50	26	called	call	VERB
ejpam-1243	50	27	the	the	DET
ejpam-1243	50	28	phase	phase	NOUN
ejpam-1243	50	29	-	-	PUNCT
ejpam-1243	50	30	lag	lag	NOUN
ejpam-1243	50	31	of	of	ADP
ejpam-1243	50	32	the	the	DET
ejpam-1243	50	33	heat	heat	NOUN
ejpam-1243	50	34	flux	flux	NOUN
ejpam-1243	50	35	.	.	PUNCT
ejpam-1243	51	1	for	for	ADP
ejpam-1243	51	2	τq	τq	PRON
ejpam-1243	51	3	=	=	PUNCT
ejpam-1243	51	4	τt	τt	NOUN
ejpam-1243	51	5	=	=	SYM
ejpam-1243	51	6	0	0	PROPN
ejpam-1243	51	7	,	,	PUNCT
ejpam-1243	51	8	the	the	DET
ejpam-1243	51	9	fourier	fourier	NOUN
ejpam-1243	51	10	’s	’s	PART
ejpam-1243	51	11	law	law	NOUN
ejpam-1243	51	12	in	in	ADP
ejpam-1243	51	13	two	two	NUM
ejpam-1243	51	14	-	-	PUNCT
ejpam-1243	51	15	phase	phase	NOUN
ejpam-1243	51	16	-	-	PUNCT
ejpam-1243	51	17	lag	lag	NOUN
ejpam-1243	51	18	model	model	NOUN
ejpam-1243	51	19	is	be	AUX
ejpam-1243	51	20	identical	identical	ADJ
ejpam-1243	51	21	with	with	ADP
ejpam-1243	51	22	classical	classical	ADJ
ejpam-1243	51	23	fourier	fourier	NOUN
ejpam-1243	51	24	’s	’s	PART
ejpam-1243	51	25	law	law	NOUN
ejpam-1243	51	26	.	.	PUNCT
ejpam-1243	52	1	if	if	SCONJ
ejpam-1243	52	2	τq	τq	VERB
ejpam-1243	52	3	=	=	SYM
ejpam-1243	52	4	τ	τ	PROPN
ejpam-1243	52	5	and	and	CCONJ
ejpam-1243	52	6	τt	τt	ADP
ejpam-1243	52	7	=	=	SYM
ejpam-1243	52	8	0	0	NUM
ejpam-1243	52	9	,	,	PUNCT
ejpam-1243	52	10	tzou	tzou	VERB
ejpam-1243	53	1	[	[	X
ejpam-1243	53	2	31	31	NUM
ejpam-1243	53	3	]	]	PUNCT
ejpam-1243	53	4	refers	refer	VERB
ejpam-1243	53	5	to	to	ADP
ejpam-1243	53	6	the	the	DET
ejpam-1243	53	7	model	model	NOUN
ejpam-1243	53	8	as	as	ADP
ejpam-1243	53	9	single	single	ADJ
ejpam-1243	53	10	-	-	PUNCT
ejpam-1243	53	11	phase	phase	NOUN
ejpam-1243	53	12	-	-	PUNCT
ejpam-1243	53	13	lag	lag	NOUN
ejpam-1243	53	14	model	model	NOUN
ejpam-1243	53	15	.	.	PUNCT
ejpam-1243	54	1	roychoudhuri	roychoudhuri	PROPN
ejpam-1243	54	2	[	[	X
ejpam-1243	54	3	26	26	NUM
ejpam-1243	54	4	]	]	PUNCT
ejpam-1243	54	5	studied	study	VERB
ejpam-1243	54	6	one	one	NUM
ejpam-1243	54	7	-	-	PUNCT
ejpam-1243	54	8	dimensional	dimensional	ADJ
ejpam-1243	54	9	thermo	thermo	NOUN
ejpam-1243	54	10	-	-	PUNCT
ejpam-1243	54	11	elastic	elastic	ADJ
ejpam-1243	54	12	wave	wave	NOUN
ejpam-1243	54	13	propagation	propagation	NOUN
ejpam-1243	54	14	in	in	ADP
ejpam-1243	54	15	an	an	DET
ejpam-1243	54	16	elastic	elastic	ADJ
ejpam-1243	54	17	half	half	ADJ
ejpam-1243	54	18	-	-	PUNCT
ejpam-1243	54	19	space	space	NOUN
ejpam-1243	54	20	in	in	ADP
ejpam-1243	54	21	the	the	DET
ejpam-1243	54	22	context	context	NOUN
ejpam-1243	54	23	of	of	ADP
ejpam-1243	54	24	dual	dual	ADJ
ejpam-1243	54	25	-	-	PUNCT
ejpam-1243	54	26	phase	phase	NOUN
ejpam-1243	54	27	-	-	PUNCT
ejpam-1243	54	28	lag	lag	NOUN
ejpam-1243	54	29	model	model	NOUN
ejpam-1243	54	30	.	.	PUNCT
ejpam-1243	55	1	the	the	DET
ejpam-1243	55	2	sixth	sixth	ADJ
ejpam-1243	55	3	generalization	generalization	NOUN
ejpam-1243	55	4	is	be	AUX
ejpam-1243	55	5	known	know	VERB
ejpam-1243	55	6	as	as	ADP
ejpam-1243	55	7	three	three	NUM
ejpam-1243	55	8	-	-	PUNCT
ejpam-1243	55	9	phase	phase	NOUN
ejpam-1243	55	10	-	-	PUNCT
ejpam-1243	55	11	lag	lag	NOUN
ejpam-1243	55	12	thermo	thermo	NOUN
ejpam-1243	55	13	-	-	PUNCT
ejpam-1243	55	14	elasticity	elasticity	NOUN
ejpam-1243	55	15	which	which	PRON
ejpam-1243	55	16	is	be	AUX
ejpam-1243	55	17	due	due	ADJ
ejpam-1243	55	18	to	to	ADP
ejpam-1243	55	19	roychoudhuri	roychoudhuri	PROPN
ejpam-1243	55	20	[	[	X
ejpam-1243	55	21	27	27	NUM
ejpam-1243	55	22	]	]	PUNCT
ejpam-1243	55	23	.	.	PUNCT
ejpam-1243	56	1	according	accord	VERB
ejpam-1243	56	2	to	to	ADP
ejpam-1243	56	3	this	this	PRON
ejpam-1243	56	4	model−→q	model−→q	X
ejpam-1243	56	5	(	(	PUNCT
ejpam-1243	56	6	p	p	X
ejpam-1243	56	7	,	,	PUNCT
ejpam-1243	56	8	t+τq	t+τq	NOUN
ejpam-1243	56	9	)	)	PUNCT
ejpam-1243	57	1	=	=	SYM
ejpam-1243	57	2	−[k−→∇	−[k−→∇	PROPN
ejpam-1243	57	3	t	t	PROPN
ejpam-1243	57	4	(	(	PUNCT
ejpam-1243	57	5	p	p	X
ejpam-1243	57	6	,	,	PUNCT
ejpam-1243	57	7	t+τt	t+τt	PROPN
ejpam-1243	57	8	)	)	PUNCT
ejpam-1243	58	1	+	+	NOUN
ejpam-1243	58	2	k∗	k∗	NOUN
ejpam-1243	58	3	−→∇ν(p	−→∇ν(p	PROPN
ejpam-1243	58	4	,	,	PUNCT
ejpam-1243	58	5	t+τν	t+τν	PROPN
ejpam-1243	58	6	)	)	PUNCT
ejpam-1243	58	7	]	]	PUNCT
ejpam-1243	58	8	,	,	PUNCT
ejpam-1243	58	9	where	where	SCONJ
ejpam-1243	58	10	−→∇ν	−→∇ν	PROPN
ejpam-1243	58	11	(	(	PUNCT
ejpam-1243	58	12	ν̇	ν̇	NOUN
ejpam-1243	58	13	=	=	SYM
ejpam-1243	58	14	t	t	PROPN
ejpam-1243	58	15	)	)	PUNCT
ejpam-1243	58	16	is	be	AUX
ejpam-1243	58	17	the	the	DET
ejpam-1243	58	18	thermal	thermal	ADJ
ejpam-1243	58	19	displacement	displacement	NOUN
ejpam-1243	58	20	gradient	gradient	NOUN
ejpam-1243	58	21	and	and	CCONJ
ejpam-1243	58	22	k∗	k∗	NOUN
ejpam-1243	58	23	is	be	AUX
ejpam-1243	58	24	the	the	DET
ejpam-1243	58	25	additional	additional	ADJ
ejpam-1243	58	26	material	material	NOUN
ejpam-1243	58	27	constant	constant	ADJ
ejpam-1243	58	28	and	and	CCONJ
ejpam-1243	58	29	τν	τν	PRON
ejpam-1243	58	30	is	be	AUX
ejpam-1243	58	31	the	the	DET
ejpam-1243	58	32	phase	phase	NOUN
ejpam-1243	58	33	lag	lag	NOUN
ejpam-1243	58	34	for	for	ADP
ejpam-1243	58	35	thermal	thermal	ADJ
ejpam-1243	58	36	displacement	displacement	ADJ
ejpam-1243	58	37	gradient	gradient	NOUN
ejpam-1243	58	38	.	.	PUNCT
ejpam-1243	59	1	to	to	PART
ejpam-1243	59	2	study	study	VERB
ejpam-1243	59	3	some	some	DET
ejpam-1243	59	4	practical	practical	ADJ
ejpam-1243	59	5	relevant	relevant	ADJ
ejpam-1243	59	6	problems	problem	NOUN
ejpam-1243	59	7	and	and	CCONJ
ejpam-1243	59	8	have	have	AUX
ejpam-1243	59	9	found	find	VERB
ejpam-1243	59	10	that	that	SCONJ
ejpam-1243	59	11	in	in	ADP
ejpam-1243	59	12	heat	heat	NOUN
ejpam-1243	59	13	transfer	transfer	NOUN
ejpam-1243	59	14	problems	problem	NOUN
ejpam-1243	59	15	involving	involve	VERB
ejpam-1243	59	16	very	very	ADV
ejpam-1243	59	17	short	short	ADJ
ejpam-1243	59	18	time	time	NOUN
ejpam-1243	59	19	intervals	interval	NOUN
ejpam-1243	59	20	and	and	CCONJ
ejpam-1243	59	21	in	in	ADP
ejpam-1243	59	22	the	the	DET
ejpam-1243	59	23	problems	problem	NOUN
ejpam-1243	59	24	of	of	ADP
ejpam-1243	59	25	very	very	ADV
ejpam-1243	59	26	high	high	ADJ
ejpam-1243	59	27	heat	heat	NOUN
ejpam-1243	59	28	fluxes	flux	NOUN
ejpam-1243	59	29	,	,	PUNCT
ejpam-1243	59	30	the	the	DET
ejpam-1243	59	31	hyperbolic	hyperbolic	ADJ
ejpam-1243	59	32	equation	equation	NOUN
ejpam-1243	59	33	gives	give	VERB
ejpam-1243	59	34	significantly	significantly	ADV
ejpam-1243	59	35	different	different	ADJ
ejpam-1243	59	36	results	result	NOUN
ejpam-1243	59	37	than	than	ADP
ejpam-1243	59	38	the	the	DET
ejpam-1243	59	39	parabolic	parabolic	ADJ
ejpam-1243	59	40	equation	equation	NOUN
ejpam-1243	59	41	.	.	PUNCT
ejpam-1243	60	1	according	accord	VERB
ejpam-1243	60	2	to	to	ADP
ejpam-1243	60	3	this	this	DET
ejpam-1243	60	4	phenomenon	phenomenon	NOUN
ejpam-1243	60	5	the	the	DET
ejpam-1243	60	6	lagging	lag	VERB
ejpam-1243	60	7	behavior	behavior	NOUN
ejpam-1243	60	8	in	in	ADP
ejpam-1243	60	9	the	the	DET
ejpam-1243	60	10	heat	heat	NOUN
ejpam-1243	60	11	conduction	conduction	NOUN
ejpam-1243	60	12	in	in	ADP
ejpam-1243	60	13	solid	solid	ADJ
ejpam-1243	60	14	should	should	AUX
ejpam-1243	60	15	not	not	PART
ejpam-1243	60	16	be	be	AUX
ejpam-1243	60	17	ignored	ignore	VERB
ejpam-1243	60	18	particularly	particularly	ADV
ejpam-1243	60	19	when	when	SCONJ
ejpam-1243	60	20	the	the	DET
ejpam-1243	60	21	elapsed	elapse	VERB
ejpam-1243	60	22	times	time	NOUN
ejpam-1243	60	23	during	during	ADP
ejpam-1243	60	24	a	a	DET
ejpam-1243	60	25	transient	transient	ADJ
ejpam-1243	60	26	process	process	NOUN
ejpam-1243	60	27	are	be	AUX
ejpam-1243	60	28	very	very	ADV
ejpam-1243	60	29	small	small	ADJ
ejpam-1243	60	30	,	,	PUNCT
ejpam-1243	60	31	say	say	VERB
ejpam-1243	60	32	about	about	ADP
ejpam-1243	60	33	10−7	10−7	NUM
ejpam-1243	60	34	second	second	ADJ
ejpam-1243	60	35	or	or	CCONJ
ejpam-1243	60	36	the	the	DET
ejpam-1243	60	37	heat	heat	NOUN
ejpam-1243	60	38	flux	flux	NOUN
ejpam-1243	60	39	is	be	AUX
ejpam-1243	60	40	very	very	ADV
ejpam-1243	60	41	much	much	ADV
ejpam-1243	60	42	high	high	ADJ
ejpam-1243	60	43	.	.	PUNCT
ejpam-1243	61	1	three	three	NUM
ejpam-1243	61	2	-	-	PUNCT
ejpam-1243	61	3	phase	phase	NOUN
ejpam-1243	61	4	-	-	PUNCT
ejpam-1243	61	5	lag	lag	NOUN
ejpam-1243	61	6	model	model	NOUN
ejpam-1243	61	7	is	be	AUX
ejpam-1243	61	8	very	very	ADV
ejpam-1243	61	9	useful	useful	ADJ
ejpam-1243	61	10	in	in	ADP
ejpam-1243	61	11	the	the	DET
ejpam-1243	61	12	problems	problem	NOUN
ejpam-1243	61	13	of	of	ADP
ejpam-1243	61	14	nuclear	nuclear	ADJ
ejpam-1243	61	15	boiling	boiling	NOUN
ejpam-1243	61	16	,	,	PUNCT
ejpam-1243	61	17	exothermic	exothermic	ADJ
ejpam-1243	61	18	catalytic	catalytic	ADJ
ejpam-1243	61	19	reactions	reaction	NOUN
ejpam-1243	61	20	,	,	PUNCT
ejpam-1243	61	21	phonon	phonon	NOUN
ejpam-1243	61	22	-	-	PUNCT
ejpam-1243	61	23	electron	electron	NOUN
ejpam-1243	61	24	interactions	interaction	NOUN
ejpam-1243	61	25	,	,	PUNCT
ejpam-1243	61	26	phonon	phonon	NOUN
ejpam-1243	61	27	-	-	PUNCT
ejpam-1243	61	28	scattering	scatter	VERB
ejpam-1243	61	29	etc	etc	X
ejpam-1243	61	30	.	.	X
ejpam-1243	61	31	,	,	PUNCT
ejpam-1243	61	32	where	where	SCONJ
ejpam-1243	61	33	the	the	DET
ejpam-1243	61	34	delay	delay	NOUN
ejpam-1243	61	35	time	time	NOUN
ejpam-1243	61	36	τq	τq	ADP
ejpam-1243	61	37	captures	capture	VERB
ejpam-1243	61	38	the	the	DET
ejpam-1243	61	39	thermal	thermal	ADJ
ejpam-1243	61	40	wave	wave	NOUN
ejpam-1243	61	41	behavior	behavior	NOUN
ejpam-1243	61	42	(	(	PUNCT
ejpam-1243	61	43	a	a	DET
ejpam-1243	61	44	small	small	ADJ
ejpam-1243	61	45	scale	scale	NOUN
ejpam-1243	61	46	response	response	NOUN
ejpam-1243	61	47	in	in	ADP
ejpam-1243	61	48	time	time	NOUN
ejpam-1243	61	49	)	)	PUNCT
ejpam-1243	61	50	,	,	PUNCT
ejpam-1243	61	51	the	the	DET
ejpam-1243	61	52	phase	phase	NOUN
ejpam-1243	61	53	-	-	PUNCT
ejpam-1243	61	54	lag	lag	NOUN
ejpam-1243	61	55	τt	τt	PRON
ejpam-1243	61	56	captures	capture	VERB
ejpam-1243	61	57	the	the	DET
ejpam-1243	61	58	effect	effect	NOUN
ejpam-1243	61	59	of	of	ADP
ejpam-1243	61	60	phonon	phonon	NOUN
ejpam-1243	61	61	-	-	PUNCT
ejpam-1243	61	62	electron	electron	NOUN
ejpam-1243	61	63	interactions	interaction	NOUN
ejpam-1243	61	64	(	(	PUNCT
ejpam-1243	61	65	a	a	DET
ejpam-1243	61	66	microscopic	microscopic	ADJ
ejpam-1243	61	67	response	response	NOUN
ejpam-1243	61	68	in	in	ADP
ejpam-1243	61	69	space	space	NOUN
ejpam-1243	61	70	)	)	PUNCT
ejpam-1243	61	71	,	,	PUNCT
ejpam-1243	61	72	the	the	DET
ejpam-1243	61	73	other	other	ADJ
ejpam-1243	61	74	delay	delay	NOUN
ejpam-1243	61	75	time	time	NOUN
ejpam-1243	61	76	τν	τν	PRON
ejpam-1243	61	77	is	be	AUX
ejpam-1243	61	78	effective	effective	ADJ
ejpam-1243	61	79	since	since	ADV
ejpam-1243	61	80	,	,	PUNCT
ejpam-1243	61	81	in	in	ADP
ejpam-1243	61	82	the	the	DET
ejpam-1243	61	83	three	three	NUM
ejpam-1243	61	84	-	-	PUNCT
ejpam-1243	61	85	phase	phase	NOUN
ejpam-1243	61	86	-	-	PUNCT
ejpam-1243	61	87	lag	lag	NOUN
ejpam-1243	61	88	model	model	NOUN
ejpam-1243	61	89	,	,	PUNCT
ejpam-1243	61	90	the	the	DET
ejpam-1243	61	91	thermal	thermal	ADJ
ejpam-1243	61	92	displacement	displacement	NOUN
ejpam-1243	61	93	gradient	gradient	NOUN
ejpam-1243	61	94	is	be	AUX
ejpam-1243	61	95	considered	consider	VERB
ejpam-1243	61	96	as	as	ADP
ejpam-1243	61	97	a	a	DET
ejpam-1243	61	98	constitutive	constitutive	ADJ
ejpam-1243	61	99	variable	variable	NOUN
ejpam-1243	61	100	whereas	whereas	SCONJ
ejpam-1243	61	101	in	in	ADP
ejpam-1243	61	102	the	the	DET
ejpam-1243	61	103	conventional	conventional	ADJ
ejpam-1243	61	104	thermo	thermo	NOUN
ejpam-1243	61	105	-	-	PUNCT
ejpam-1243	61	106	elasticity	elasticity	NOUN
ejpam-1243	61	107	theory	theory	NOUN
ejpam-1243	61	108	temperature	temperature	NOUN
ejpam-1243	61	109	gradient	gradient	NOUN
ejpam-1243	61	110	is	be	AUX
ejpam-1243	61	111	considered	consider	VERB
ejpam-1243	61	112	as	as	ADP
ejpam-1243	61	113	a	a	DET
ejpam-1243	61	114	constitutive	constitutive	ADJ
ejpam-1243	61	115	variable	variable	NOUN
ejpam-1243	61	116	.	.	PUNCT
ejpam-1243	62	1	recently	recently	ADV
ejpam-1243	62	2	,	,	PUNCT
ejpam-1243	62	3	kar	kar	PROPN
ejpam-1243	62	4	and	and	CCONJ
ejpam-1243	62	5	kanoria	kanoria	PROPN
ejpam-1243	62	6	[	[	X
ejpam-1243	62	7	20	20	NUM
ejpam-1243	62	8	]	]	PUNCT
ejpam-1243	62	9	studied	study	VERB
ejpam-1243	62	10	thermo	thermo	NOUN
ejpam-1243	62	11	-	-	PUNCT
ejpam-1243	62	12	visco	visco	ADJ
ejpam-1243	62	13	-	-	PUNCT
ejpam-1243	62	14	elastic	elastic	ADJ
ejpam-1243	62	15	problem	problem	NOUN
ejpam-1243	62	16	of	of	ADP
ejpam-1243	62	17	a	a	DET
ejpam-1243	62	18	spherical	spherical	ADJ
ejpam-1243	62	19	shell	shell	NOUN
ejpam-1243	62	20	in	in	ADP
ejpam-1243	62	21	the	the	DET
ejpam-1243	62	22	context	context	NOUN
ejpam-1243	62	23	of	of	ADP
ejpam-1243	62	24	three	three	NUM
ejpam-1243	62	25	-	-	PUNCT
ejpam-1243	62	26	phase	phase	NOUN
ejpam-1243	62	27	-	-	PUNCT
ejpam-1243	62	28	lag	lag	NOUN
ejpam-1243	62	29	model	model	NOUN
ejpam-1243	62	30	.	.	PUNCT
ejpam-1243	63	1	however	however	ADV
ejpam-1243	63	2	,	,	PUNCT
ejpam-1243	63	3	over	over	ADP
ejpam-1243	63	4	the	the	DET
ejpam-1243	63	5	last	last	ADJ
ejpam-1243	63	6	few	few	ADJ
ejpam-1243	63	7	decades	decade	NOUN
ejpam-1243	63	8	anisotropic	anisotropic	NOUN
ejpam-1243	63	9	materials	material	NOUN
ejpam-1243	63	10	have	have	AUX
ejpam-1243	63	11	been	be	AUX
ejpam-1243	63	12	increasingly	increasingly	ADV
ejpam-1243	63	13	used	use	VERB
ejpam-1243	63	14	.	.	PUNCT
ejpam-1243	64	1	there	there	PRON
ejpam-1243	64	2	are	be	VERB
ejpam-1243	64	3	materials	material	NOUN
ejpam-1243	64	4	which	which	PRON
ejpam-1243	64	5	have	have	VERB
ejpam-1243	64	6	natural	natural	ADJ
ejpam-1243	64	7	anisotropy	anisotropy	NOUN
ejpam-1243	64	8	such	such	ADJ
ejpam-1243	64	9	as	as	ADP
ejpam-1243	64	10	zinc	zinc	NOUN
ejpam-1243	64	11	,	,	PUNCT
ejpam-1243	64	12	magnesium	magnesium	NOUN
ejpam-1243	64	13	,	,	PUNCT
ejpam-1243	64	14	sapphire	sapphire	NOUN
ejpam-1243	64	15	,	,	PUNCT
ejpam-1243	64	16	wood	wood	NOUN
ejpam-1243	64	17	,	,	PUNCT
ejpam-1243	64	18	some	some	DET
ejpam-1243	64	19	rocks	rock	NOUN
ejpam-1243	64	20	and	and	CCONJ
ejpam-1243	64	21	crystals	crystal	NOUN
ejpam-1243	64	22	,	,	PUNCT
ejpam-1243	64	23	and	and	CCONJ
ejpam-1243	64	24	also	also	ADV
ejpam-1243	64	25	there	there	PRON
ejpam-1243	64	26	are	be	VERB
ejpam-1243	64	27	artificially	artificially	ADV
ejpam-1243	64	28	manufactured	manufacture	VERB
ejpam-1243	64	29	materials	material	NOUN
ejpam-1243	64	30	such	such	ADJ
ejpam-1243	64	31	as	as	ADP
ejpam-1243	64	32	fibre	fibre	NOUN
ejpam-1243	64	33	-	-	PUNCT
ejpam-1243	64	34	reinforced	reinforce	VERB
ejpam-1243	64	35	composite	composite	ADJ
ejpam-1243	64	36	materials	material	NOUN
ejpam-1243	64	37	,	,	PUNCT
ejpam-1243	64	38	which	which	PRON
ejpam-1243	64	39	exhibit	exhibit	VERB
ejpam-1243	64	40	anisotropic	anisotropic	NOUN
ejpam-1243	64	41	character	character	NOUN
ejpam-1243	64	42	.	.	PUNCT
ejpam-1243	65	1	the	the	DET
ejpam-1243	65	2	advantage	advantage	NOUN
ejpam-1243	65	3	of	of	ADP
ejpam-1243	65	4	composite	composite	ADJ
ejpam-1243	65	5	materials	material	NOUN
ejpam-1243	65	6	over	over	ADP
ejpam-1243	65	7	the	the	DET
ejpam-1243	65	8	traditional	traditional	ADJ
ejpam-1243	65	9	materials	material	NOUN
ejpam-1243	65	10	lies	lie	VERB
ejpam-1243	65	11	on	on	ADP
ejpam-1243	65	12	their	their	PRON
ejpam-1243	65	13	valuable	valuable	ADJ
ejpam-1243	65	14	strength	strength	NOUN
ejpam-1243	65	15	,	,	PUNCT
ejpam-1243	65	16	elastic	elastic	ADJ
ejpam-1243	65	17	and	and	CCONJ
ejpam-1243	65	18	other	other	ADJ
ejpam-1243	65	19	properties	property	NOUN
ejpam-1243	65	20	[	[	X
ejpam-1243	65	21	22	22	NUM
ejpam-1243	65	22	]	]	PUNCT
ejpam-1243	65	23	.	.	PUNCT
ejpam-1243	66	1	a	a	DET
ejpam-1243	66	2	reinforced	reinforce	VERB
ejpam-1243	66	3	material	material	NOUN
ejpam-1243	66	4	may	may	AUX
ejpam-1243	66	5	be	be	AUX
ejpam-1243	66	6	regarded	regard	VERB
ejpam-1243	66	7	to	to	ADP
ejpam-1243	66	8	some	some	DET
ejpam-1243	66	9	order	order	NOUN
ejpam-1243	66	10	of	of	ADP
ejpam-1243	66	11	approximation	approximation	NOUN
ejpam-1243	66	12	,	,	PUNCT
ejpam-1243	66	13	as	as	ADP
ejpam-1243	66	14	homogeneous	homogeneous	ADJ
ejpam-1243	66	15	and	and	CCONJ
ejpam-1243	66	16	anisotropic	anisotropic	NOUN
ejpam-1243	66	17	elastic	elastic	ADJ
ejpam-1243	66	18	medium	medium	NOUN
ejpam-1243	66	19	having	have	VERB
ejpam-1243	66	20	a	a	DET
ejpam-1243	66	21	certain	certain	ADJ
ejpam-1243	66	22	kind	kind	NOUN
ejpam-1243	66	23	of	of	ADP
ejpam-1243	66	24	elastic	elastic	ADJ
ejpam-1243	66	25	symmetry	symmetry	NOUN
ejpam-1243	66	26	depending	depend	VERB
ejpam-1243	66	27	on	on	ADP
ejpam-1243	66	28	the	the	DET
ejpam-1243	66	29	symmetry	symmetry	NOUN
ejpam-1243	66	30	of	of	ADP
ejpam-1243	66	31	reinforcement	reinforcement	NOUN
ejpam-1243	66	32	.	.	PUNCT
ejpam-1243	67	1	some	some	DET
ejpam-1243	67	2	glass	glass	NOUN
ejpam-1243	67	3	fibre	fibre	NOUN
ejpam-1243	67	4	reinforced	reinforce	VERB
ejpam-1243	67	5	plastics	plastic	NOUN
ejpam-1243	67	6	may	may	AUX
ejpam-1243	67	7	be	be	AUX
ejpam-1243	67	8	regarded	regard	VERB
ejpam-1243	67	9	as	as	ADP
ejpam-1243	67	10	transversely	transversely	ADJ
ejpam-1243	67	11	isotropic	isotropic	NOUN
ejpam-1243	67	12	.	.	PUNCT
ejpam-1243	68	1	thus	thus	ADV
ejpam-1243	68	2	problems	problem	NOUN
ejpam-1243	68	3	of	of	ADP
ejpam-1243	68	4	solid	solid	ADJ
ejpam-1243	68	5	mechanics	mechanic	NOUN
ejpam-1243	68	6	should	should	AUX
ejpam-1243	68	7	not	not	PART
ejpam-1243	68	8	be	be	AUX
ejpam-1243	68	9	restricted	restrict	VERB
ejpam-1243	68	10	to	to	ADP
ejpam-1243	68	11	the	the	DET
ejpam-1243	68	12	isotropic	isotropic	NOUN
ejpam-1243	68	13	medium	medium	NOUN
ejpam-1243	68	14	only	only	ADV
ejpam-1243	68	15	.	.	PUNCT
ejpam-1243	69	1	increasing	increase	VERB
ejpam-1243	69	2	use	use	NOUN
ejpam-1243	69	3	of	of	ADP
ejpam-1243	69	4	anisotropic	anisotropic	NOUN
ejpam-1243	69	5	media	medium	NOUN
ejpam-1243	69	6	demands	demand	NOUN
ejpam-1243	69	7	that	that	SCONJ
ejpam-1243	69	8	the	the	DET
ejpam-1243	69	9	study	study	NOUN
ejpam-1243	69	10	of	of	ADP
ejpam-1243	69	11	elastic	elastic	ADJ
ejpam-1243	69	12	problems	problem	NOUN
ejpam-1243	69	13	should	should	AUX
ejpam-1243	69	14	be	be	AUX
ejpam-1243	69	15	extended	extend	VERB
ejpam-1243	69	16	to	to	PART
ejpam-1243	69	17	anisotropic	anisotropic	VERB
ejpam-1243	69	18	medium	medium	ADV
ejpam-1243	69	19	also	also	ADV
ejpam-1243	69	20	.	.	PUNCT
ejpam-1243	70	1	to	to	ADP
ejpam-1243	70	2	the	the	DET
ejpam-1243	70	3	authors	author	NOUN
ejpam-1243	70	4	’	’	PART
ejpam-1243	70	5	knowledge	knowledge	NOUN
ejpam-1243	70	6	,	,	PUNCT
ejpam-1243	70	7	under	under	ADP
ejpam-1243	70	8	three	three	NUM
ejpam-1243	70	9	-	-	PUNCT
ejpam-1243	70	10	phase	phase	NOUN
ejpam-1243	70	11	-	-	PUNCT
ejpam-1243	70	12	lag	lag	NOUN
ejpam-1243	70	13	effect	effect	NOUN
ejpam-1243	70	14	no	no	DET
ejpam-1243	70	15	solution	solution	NOUN
ejpam-1243	70	16	of	of	ADP
ejpam-1243	70	17	transversely	transversely	ADJ
ejpam-1243	70	18	isotropic	isotropic	ADJ
ejpam-1243	70	19	materials	material	NOUN
ejpam-1243	70	20	has	have	AUX
ejpam-1243	70	21	been	be	AUX
ejpam-1243	70	22	reported	report	VERB
ejpam-1243	70	23	.	.	PUNCT
ejpam-1243	71	1	with	with	ADP
ejpam-1243	71	2	this	this	DET
ejpam-1243	71	3	motivation	motivation	NOUN
ejpam-1243	71	4	in	in	ADP
ejpam-1243	71	5	mind	mind	NOUN
ejpam-1243	71	6	the	the	DET
ejpam-1243	71	7	present	present	ADJ
ejpam-1243	71	8	analysis	analysis	NOUN
ejpam-1243	71	9	is	be	AUX
ejpam-1243	71	10	to	to	PART
ejpam-1243	71	11	study	study	VERB
ejpam-1243	71	12	the	the	DET
ejpam-1243	71	13	thermo	thermo	NOUN
ejpam-1243	71	14	-	-	PUNCT
ejpam-1243	71	15	elastic	elastic	ADJ
ejpam-1243	71	16	stresses	stress	NOUN
ejpam-1243	71	17	,	,	PUNCT
ejpam-1243	71	18	displacement	displacement	NOUN
ejpam-1243	71	19	and	and	CCONJ
ejpam-1243	71	20	temperature	temperature	NOUN
ejpam-1243	71	21	distribution	distribution	NOUN
ejpam-1243	71	22	in	in	ADP
ejpam-1243	71	23	a	a	DET
ejpam-1243	71	24	transversely	transversely	ADJ
ejpam-1243	71	25	isotropic	isotropic	ADJ
ejpam-1243	71	26	thin	thin	ADJ
ejpam-1243	71	27	annular	annular	ADJ
ejpam-1243	71	28	disc	disc	NOUN
ejpam-1243	71	29	due	due	ADP
ejpam-1243	71	30	to	to	ADP
ejpam-1243	71	31	the	the	DET
ejpam-1243	71	32	axisymmetric	axisymmetric	ADJ
ejpam-1243	71	33	thermal	thermal	ADJ
ejpam-1243	71	34	shock	shock	NOUN
ejpam-1243	71	35	loading	loading	NOUN
ejpam-1243	71	36	on	on	ADP
ejpam-1243	71	37	the	the	DET
ejpam-1243	71	38	inner	inner	ADJ
ejpam-1243	71	39	boundary	boundary	NOUN
ejpam-1243	71	40	of	of	ADP
ejpam-1243	71	41	the	the	DET
ejpam-1243	71	42	disc	disc	NOUN
ejpam-1243	71	43	in	in	ADP
ejpam-1243	71	44	the	the	DET
ejpam-1243	71	45	context	context	NOUN
ejpam-1243	71	46	of	of	ADP
ejpam-1243	71	47	tewoed	tewoed	NOUN
ejpam-1243	71	48	[	[	X
ejpam-1243	71	49	14	14	NUM
ejpam-1243	71	50	]	]	PUNCT
ejpam-1243	71	51	of	of	ADP
ejpam-1243	71	52	type	type	NOUN
ejpam-1243	71	53	-	-	PUNCT
ejpam-1243	71	54	ii	ii	NOUN
ejpam-1243	71	55	and	and	CCONJ
ejpam-1243	71	56	three	three	NUM
ejpam-1243	71	57	-	-	PUNCT
ejpam-1243	71	58	phase	phase	NOUN
ejpam-1243	71	59	-	-	PUNCT
ejpam-1243	71	60	lag	lag	NOUN
ejpam-1243	71	61	model	model	NOUN
ejpam-1243	71	62	of	of	ADP
ejpam-1243	71	63	generalized	generalized	ADJ
ejpam-1243	71	64	thermo	thermo	NOUN
ejpam-1243	71	65	-	-	PUNCT
ejpam-1243	71	66	elasticity	elasticity	NOUN
ejpam-1243	71	67	.	.	PUNCT
ejpam-1243	72	1	the	the	DET
ejpam-1243	72	2	laplace	laplace	NOUN
ejpam-1243	72	3	transformation	transformation	NOUN
ejpam-1243	72	4	method	method	NOUN
ejpam-1243	72	5	is	be	AUX
ejpam-1243	72	6	used	use	VERB
ejpam-1243	72	7	to	to	PART
ejpam-1243	72	8	transform	transform	VERB
ejpam-1243	72	9	the	the	DET
ejpam-1243	72	10	equations	equation	NOUN
ejpam-1243	72	11	from	from	ADP
ejpam-1243	72	12	the	the	DET
ejpam-1243	72	13	time	time	NOUN
ejpam-1243	72	14	domain	domain	NOUN
ejpam-1243	72	15	to	to	ADP
ejpam-1243	72	16	the	the	DET
ejpam-1243	72	17	laplace	laplace	NOUN
ejpam-1243	72	18	domain	domain	NOUN
ejpam-1243	72	19	.	.	PUNCT
ejpam-1243	73	1	two	two	NUM
ejpam-1243	73	2	different	different	ADJ
ejpam-1243	73	3	methods	method	NOUN
ejpam-1243	73	4	,	,	PUNCT
ejpam-1243	73	5	(	(	PUNCT
ejpam-1243	73	6	a	a	X
ejpam-1243	73	7	)	)	PUNCT
ejpam-1243	73	8	eigen	eigen	NOUN
ejpam-1243	73	9	-	-	PUNCT
ejpam-1243	73	10	value	value	NOUN
ejpam-1243	73	11	approach	approach	NOUN
ejpam-1243	73	12	and	and	CCONJ
ejpam-1243	73	13	(	(	PUNCT
ejpam-1243	73	14	b	b	X
ejpam-1243	73	15	)	)	PUNCT
ejpam-1243	73	16	the	the	DET
ejpam-1243	73	17	galerkin	galerkin	ADJ
ejpam-1243	73	18	finite	finite	PROPN
ejpam-1243	73	19	element	element	NOUN
ejpam-1243	73	20	technique	technique	NOUN
ejpam-1243	73	21	are	be	AUX
ejpam-1243	73	22	employed	employ	VERB
ejpam-1243	73	23	to	to	PART
ejpam-1243	73	24	solve	solve	VERB
ejpam-1243	73	25	the	the	DET
ejpam-1243	73	26	resulting	result	VERB
ejpam-1243	73	27	equations	equation	NOUN
ejpam-1243	73	28	in	in	ADP
ejpam-1243	73	29	the	the	DET
ejpam-1243	73	30	a.	a.	NOUN
ejpam-1243	73	31	kar	kar	PROPN
ejpam-1243	73	32	,	,	PUNCT
ejpam-1243	73	33	m.	m.	NOUN
ejpam-1243	73	34	kanoria	kanoria	PROPN
ejpam-1243	73	35	/	/	SYM
ejpam-1243	73	36	eur	eur	PROPN
ejpam-1243	73	37	.	.	PUNCT
ejpam-1243	74	1	j.	j.	PROPN
ejpam-1243	74	2	pure	pure	PROPN
ejpam-1243	74	3	appl	appl	PROPN
ejpam-1243	74	4	.	.	PROPN
ejpam-1243	74	5	math	math	PROPN
ejpam-1243	74	6	,	,	PUNCT
ejpam-1243	74	7	4	4	NUM
ejpam-1243	74	8	(	(	PUNCT
ejpam-1243	74	9	2011	2011	NUM
ejpam-1243	74	10	)	)	PUNCT
ejpam-1243	74	11	,	,	PUNCT
ejpam-1243	74	12	304	304	NUM
ejpam-1243	74	13	-	-	SYM
ejpam-1243	74	14	321	321	NUM
ejpam-1243	74	15	307	307	NUM
ejpam-1243	74	16	transformed	transform	VERB
ejpam-1243	74	17	domain	domain	NOUN
ejpam-1243	74	18	.	.	PUNCT
ejpam-1243	75	1	in	in	ADP
ejpam-1243	75	2	the	the	DET
ejpam-1243	75	3	first	first	ADJ
ejpam-1243	75	4	method	method	NOUN
ejpam-1243	75	5	(	(	PUNCT
ejpam-1243	75	6	eigen	eigen	PROPN
ejpam-1243	75	7	value	value	NOUN
ejpam-1243	75	8	approach	approach	NOUN
ejpam-1243	75	9	)	)	PUNCT
ejpam-1243	75	10	the	the	DET
ejpam-1243	75	11	fundamental	fundamental	ADJ
ejpam-1243	75	12	equations	equation	NOUN
ejpam-1243	75	13	have	have	AUX
ejpam-1243	75	14	been	be	AUX
ejpam-1243	75	15	expressed	express	VERB
ejpam-1243	75	16	in	in	ADP
ejpam-1243	75	17	the	the	DET
ejpam-1243	75	18	form	form	NOUN
ejpam-1243	75	19	of	of	ADP
ejpam-1243	75	20	vector	vector	NOUN
ejpam-1243	75	21	-	-	PUNCT
ejpam-1243	75	22	matrix	matrix	NOUN
ejpam-1243	75	23	differential	differential	NOUN
ejpam-1243	75	24	equation	equation	NOUN
ejpam-1243	75	25	which	which	PRON
ejpam-1243	75	26	is	be	AUX
ejpam-1243	75	27	then	then	ADV
ejpam-1243	75	28	solved	solve	VERB
ejpam-1243	75	29	by	by	ADP
ejpam-1243	75	30	eigen	eigen	PROPN
ejpam-1243	75	31	value	value	NOUN
ejpam-1243	75	32	approach	approach	NOUN
ejpam-1243	75	33	[	[	X
ejpam-1243	75	34	21	21	NUM
ejpam-1243	75	35	]	]	PUNCT
ejpam-1243	75	36	and	and	CCONJ
ejpam-1243	75	37	in	in	ADP
ejpam-1243	75	38	the	the	DET
ejpam-1243	75	39	second	second	ADJ
ejpam-1243	75	40	method	method	NOUN
ejpam-1243	75	41	(	(	PUNCT
ejpam-1243	75	42	galerkin	galerkin	PROPN
ejpam-1243	75	43	finite	finite	PROPN
ejpam-1243	75	44	element	element	NOUN
ejpam-1243	75	45	method	method	NOUN
ejpam-1243	75	46	)	)	PUNCT
ejpam-1243	75	47	the	the	DET
ejpam-1243	75	48	radius	radius	NOUN
ejpam-1243	75	49	of	of	ADP
ejpam-1243	75	50	the	the	DET
ejpam-1243	75	51	disc	disc	NOUN
ejpam-1243	75	52	is	be	AUX
ejpam-1243	75	53	discretized	discretize	VERB
ejpam-1243	75	54	into	into	ADP
ejpam-1243	75	55	a	a	DET
ejpam-1243	75	56	finite	finite	ADJ
ejpam-1243	75	57	elements	element	NOUN
ejpam-1243	75	58	along	along	ADP
ejpam-1243	75	59	the	the	DET
ejpam-1243	75	60	radial	radial	ADJ
ejpam-1243	75	61	direction	direction	NOUN
ejpam-1243	75	62	where	where	SCONJ
ejpam-1243	75	63	the	the	DET
ejpam-1243	75	64	galerkin	galerkin	ADJ
ejpam-1243	75	65	finite	finite	PROPN
ejpam-1243	75	66	element	element	NOUN
ejpam-1243	75	67	method	method	NOUN
ejpam-1243	75	68	is	be	AUX
ejpam-1243	75	69	employed	employ	VERB
ejpam-1243	75	70	to	to	PART
ejpam-1243	75	71	derive	derive	VERB
ejpam-1243	75	72	the	the	DET
ejpam-1243	75	73	force	force	NOUN
ejpam-1243	75	74	and	and	CCONJ
ejpam-1243	75	75	stiffness	stiffness	ADJ
ejpam-1243	75	76	matrices	matrix	NOUN
ejpam-1243	75	77	of	of	ADP
ejpam-1243	75	78	the	the	DET
ejpam-1243	75	79	base	base	NOUN
ejpam-1243	75	80	element	element	NOUN
ejpam-1243	75	81	.	.	PUNCT
ejpam-1243	76	1	then	then	ADV
ejpam-1243	76	2	the	the	DET
ejpam-1243	76	3	system	system	NOUN
ejpam-1243	76	4	of	of	ADP
ejpam-1243	76	5	equations	equation	NOUN
ejpam-1243	76	6	is	be	AUX
ejpam-1243	76	7	solved	solve	VERB
ejpam-1243	76	8	to	to	PART
ejpam-1243	76	9	find	find	VERB
ejpam-1243	76	10	the	the	DET
ejpam-1243	76	11	nodal	nodal	ADJ
ejpam-1243	76	12	values	value	NOUN
ejpam-1243	76	13	of	of	ADP
ejpam-1243	76	14	the	the	DET
ejpam-1243	76	15	stresses	stress	NOUN
ejpam-1243	76	16	,	,	PUNCT
ejpam-1243	76	17	temperature	temperature	NOUN
ejpam-1243	76	18	and	and	CCONJ
ejpam-1243	76	19	displacement	displacement	NOUN
ejpam-1243	76	20	.	.	PUNCT
ejpam-1243	77	1	finally	finally	ADV
ejpam-1243	77	2	,	,	PUNCT
ejpam-1243	77	3	inversion	inversion	NOUN
ejpam-1243	77	4	of	of	ADP
ejpam-1243	77	5	the	the	DET
ejpam-1243	77	6	laplace	laplace	NOUN
ejpam-1243	77	7	transform	transform	NOUN
ejpam-1243	77	8	is	be	AUX
ejpam-1243	77	9	done	do	VERB
ejpam-1243	77	10	following	follow	VERB
ejpam-1243	77	11	bellman	bellman	PROPN
ejpam-1243	77	12	et	et	PROPN
ejpam-1243	77	13	al	al	PROPN
ejpam-1243	77	14	.	.	PUNCT
ejpam-1243	78	1	[	[	X
ejpam-1243	78	2	4	4	NUM
ejpam-1243	78	3	]	]	PUNCT
ejpam-1243	78	4	.	.	PUNCT
ejpam-1243	79	1	the	the	DET
ejpam-1243	79	2	results	result	NOUN
ejpam-1243	79	3	obtained	obtain	VERB
ejpam-1243	79	4	theoretically	theoretically	ADV
ejpam-1243	79	5	have	have	AUX
ejpam-1243	79	6	been	be	AUX
ejpam-1243	79	7	computed	compute	VERB
ejpam-1243	79	8	numerically	numerically	ADV
ejpam-1243	79	9	and	and	CCONJ
ejpam-1243	79	10	are	be	AUX
ejpam-1243	79	11	presented	present	VERB
ejpam-1243	79	12	graphically	graphically	ADV
ejpam-1243	79	13	for	for	ADP
ejpam-1243	79	14	sapphire	sapphire	NOUN
ejpam-1243	79	15	material	material	NOUN
ejpam-1243	79	16	.	.	PUNCT
ejpam-1243	80	1	a	a	DET
ejpam-1243	80	2	complete	complete	ADJ
ejpam-1243	80	3	and	and	CCONJ
ejpam-1243	80	4	comprehensive	comprehensive	ADJ
ejpam-1243	80	5	analysis	analysis	NOUN
ejpam-1243	80	6	and	and	CCONJ
ejpam-1243	80	7	comparison	comparison	NOUN
ejpam-1243	80	8	of	of	ADP
ejpam-1243	80	9	the	the	DET
ejpam-1243	80	10	results	result	NOUN
ejpam-1243	80	11	for	for	ADP
ejpam-1243	80	12	different	different	ADJ
ejpam-1243	80	13	theories	theory	NOUN
ejpam-1243	80	14	(	(	PUNCT
ejpam-1243	80	15	gn	gn	PROPN
ejpam-1243	80	16	-	-	PUNCT
ejpam-1243	80	17	ii	ii	PROPN
ejpam-1243	80	18	and	and	CCONJ
ejpam-1243	80	19	three	three	NUM
ejpam-1243	80	20	-	-	PUNCT
ejpam-1243	80	21	phase	phase	NOUN
ejpam-1243	80	22	-	-	PUNCT
ejpam-1243	80	23	lag	lag	NOUN
ejpam-1243	80	24	model	model	NOUN
ejpam-1243	80	25	)	)	PUNCT
ejpam-1243	80	26	as	as	ADV
ejpam-1243	80	27	well	well	ADV
ejpam-1243	80	28	as	as	ADP
ejpam-1243	80	29	in	in	ADP
ejpam-1243	80	30	two	two	NUM
ejpam-1243	80	31	different	different	ADJ
ejpam-1243	80	32	methods	method	NOUN
ejpam-1243	80	33	are	be	AUX
ejpam-1243	80	34	also	also	ADV
ejpam-1243	80	35	presented	present	VERB
ejpam-1243	80	36	.	.	PUNCT
ejpam-1243	81	1	2	2	X
ejpam-1243	81	2	.	.	NUM
ejpam-1243	81	3	basic	basic	ADJ
ejpam-1243	81	4	equations	equation	NOUN
ejpam-1243	81	5	and	and	CCONJ
ejpam-1243	81	6	constitutive	constitutive	ADJ
ejpam-1243	81	7	eelations	eelation	NOUN
ejpam-1243	81	8	we	we	PRON
ejpam-1243	81	9	consider	consider	VERB
ejpam-1243	81	10	a	a	DET
ejpam-1243	81	11	homogeneous	homogeneous	ADJ
ejpam-1243	81	12	transversely	transversely	ADJ
ejpam-1243	81	13	isotropic	isotropic	NOUN
ejpam-1243	81	14	thermo	thermo	NOUN
ejpam-1243	81	15	-	-	PUNCT
ejpam-1243	81	16	elastic	elastic	ADJ
ejpam-1243	81	17	thin	thin	ADJ
ejpam-1243	81	18	annular	annular	ADJ
ejpam-1243	81	19	disc	disc	NOUN
ejpam-1243	81	20	of	of	ADP
ejpam-1243	81	21	inner	inner	ADJ
ejpam-1243	81	22	radius	radius	NOUN
ejpam-1243	81	23	a	a	DET
ejpam-1243	81	24	and	and	CCONJ
ejpam-1243	81	25	outer	outer	ADJ
ejpam-1243	81	26	radius	radius	NOUN
ejpam-1243	81	27	b	b	PROPN
ejpam-1243	81	28	having	having	AUX
ejpam-1243	81	29	initially	initially	ADV
ejpam-1243	81	30	undisturbed	undisturbed	ADJ
ejpam-1243	81	31	state	state	NOUN
ejpam-1243	81	32	at	at	ADP
ejpam-1243	81	33	an	an	DET
ejpam-1243	81	34	uniform	uniform	ADJ
ejpam-1243	81	35	temperature	temperature	NOUN
ejpam-1243	81	36	t0	t0	PROPN
ejpam-1243	81	37	,	,	PUNCT
ejpam-1243	81	38	under	under	ADP
ejpam-1243	81	39	axisymmetric	axisymmetric	ADJ
ejpam-1243	81	40	thermal	thermal	ADJ
ejpam-1243	81	41	shock	shock	NOUN
ejpam-1243	81	42	load	load	NOUN
ejpam-1243	81	43	applied	apply	VERB
ejpam-1243	81	44	into	into	ADP
ejpam-1243	81	45	its	its	PRON
ejpam-1243	81	46	inner	inner	ADJ
ejpam-1243	81	47	boundary	boundary	NOUN
ejpam-1243	81	48	.	.	PUNCT
ejpam-1243	82	1	we	we	PRON
ejpam-1243	82	2	use	use	VERB
ejpam-1243	82	3	plane	plane	NOUN
ejpam-1243	82	4	polar	polar	ADJ
ejpam-1243	82	5	co	co	NOUN
ejpam-1243	82	6	-	-	NOUN
ejpam-1243	82	7	ordinates	ordinate	NOUN
ejpam-1243	82	8	(	(	PUNCT
ejpam-1243	82	9	r	r	NOUN
ejpam-1243	82	10	,	,	PUNCT
ejpam-1243	82	11	θ	θ	NOUN
ejpam-1243	82	12	)	)	PUNCT
ejpam-1243	82	13	with	with	ADP
ejpam-1243	82	14	the	the	DET
ejpam-1243	82	15	centre	centre	NOUN
ejpam-1243	82	16	of	of	ADP
ejpam-1243	82	17	the	the	DET
ejpam-1243	82	18	hole	hole	NOUN
ejpam-1243	82	19	as	as	ADP
ejpam-1243	82	20	the	the	DET
ejpam-1243	82	21	origin	origin	NOUN
ejpam-1243	82	22	.	.	PUNCT
ejpam-1243	83	1	in	in	ADP
ejpam-1243	83	2	the	the	DET
ejpam-1243	83	3	present	present	ADJ
ejpam-1243	83	4	problem	problem	NOUN
ejpam-1243	83	5	(	(	PUNCT
ejpam-1243	83	6	due	due	ADP
ejpam-1243	83	7	to	to	ADP
ejpam-1243	83	8	central	central	ADJ
ejpam-1243	83	9	symmetry	symmetry	NOUN
ejpam-1243	83	10	)	)	PUNCT
ejpam-1243	83	11	the	the	DET
ejpam-1243	83	12	displacement	displacement	NOUN
ejpam-1243	83	13	and	and	CCONJ
ejpam-1243	83	14	temperature	temperature	NOUN
ejpam-1243	83	15	are	be	AUX
ejpam-1243	83	16	assumed	assume	VERB
ejpam-1243	83	17	to	to	PART
ejpam-1243	83	18	be	be	AUX
ejpam-1243	83	19	functions	function	NOUN
ejpam-1243	83	20	of	of	ADP
ejpam-1243	83	21	r	r	NOUN
ejpam-1243	83	22	and	and	CCONJ
ejpam-1243	83	23	time	time	NOUN
ejpam-1243	83	24	t	t	X
ejpam-1243	83	25	only	only	ADV
ejpam-1243	83	26	.	.	PUNCT
ejpam-1243	84	1	the	the	DET
ejpam-1243	84	2	stress	stress	NOUN
ejpam-1243	84	3	-	-	PUNCT
ejpam-1243	84	4	strain	strain	NOUN
ejpam-1243	84	5	-	-	PUNCT
ejpam-1243	84	6	temperature	temperature	NOUN
ejpam-1243	84	7	relations	relation	NOUN
ejpam-1243	84	8	in	in	ADP
ejpam-1243	84	9	the	the	DET
ejpam-1243	84	10	generalized	generalized	ADJ
ejpam-1243	84	11	theory	theory	NOUN
ejpam-1243	84	12	are	be	AUX
ejpam-1243	84	13	[	[	X
ejpam-1243	84	14	22	22	NUM
ejpam-1243	84	15	]	]	PUNCT
ejpam-1243	84	16	τr	τr	ADP
ejpam-1243	85	1	r	r	NOUN
ejpam-1243	85	2	=	=	SYM
ejpam-1243	85	3	c11	c11	NOUN
ejpam-1243	85	4	∂	∂	NOUN
ejpam-1243	85	5	u	u	NOUN
ejpam-1243	85	6	∂	∂	NOUN
ejpam-1243	85	7	r	r	NOUN
ejpam-1243	85	8	+	+	NUM
ejpam-1243	85	9	c12	c12	NOUN
ejpam-1243	85	10	u	u	NOUN
ejpam-1243	85	11	r	r	PROPN
ejpam-1243	85	12	−β11	−β11	PROPN
ejpam-1243	85	13	t	t	PROPN
ejpam-1243	85	14	,	,	PUNCT
ejpam-1243	85	15	(	(	PUNCT
ejpam-1243	85	16	1	1	X
ejpam-1243	85	17	)	)	PUNCT
ejpam-1243	85	18	τθθ	τθθ	NOUN
ejpam-1243	85	19	=	=	SYM
ejpam-1243	85	20	c12	c12	PROPN
ejpam-1243	85	21	∂	∂	NUM
ejpam-1243	85	22	u	u	NOUN
ejpam-1243	85	23	∂	∂	NOUN
ejpam-1243	85	24	r	r	NOUN
ejpam-1243	85	25	+	+	CCONJ
ejpam-1243	85	26	c11	c11	NOUN
ejpam-1243	85	27	u	u	NOUN
ejpam-1243	85	28	r	r	NOUN
ejpam-1243	85	29	−	−	NOUN
ejpam-1243	85	30	β22	β22	NOUN
ejpam-1243	85	31	t	t	PROPN
ejpam-1243	85	32	(	(	PUNCT
ejpam-1243	85	33	2	2	NUM
ejpam-1243	85	34	)	)	PUNCT
ejpam-1243	85	35	and	and	CCONJ
ejpam-1243	85	36	the	the	DET
ejpam-1243	85	37	generalized	generalize	VERB
ejpam-1243	85	38	heat	heat	NOUN
ejpam-1243	85	39	conduction	conduction	NOUN
ejpam-1243	85	40	equation	equation	NOUN
ejpam-1243	85	41	in	in	ADP
ejpam-1243	85	42	the	the	DET
ejpam-1243	85	43	three	three	NUM
ejpam-1243	85	44	-	-	PUNCT
ejpam-1243	85	45	phase	phase	NOUN
ejpam-1243	85	46	-	-	PUNCT
ejpam-1243	85	47	lag	lag	NOUN
ejpam-1243	85	48	model	model	NOUN
ejpam-1243	85	49	[	[	X
ejpam-1243	85	50	27	27	NUM
ejpam-1243	85	51	]	]	PUNCT
ejpam-1243	85	52	is	be	AUX
ejpam-1243	85	53	k∗∇2	k∗∇2	PROPN
ejpam-1243	85	54	t	t	PROPN
ejpam-1243	85	55	+	+	PROPN
ejpam-1243	85	56	τ∗ν∇2	τ∗ν∇2	NUM
ejpam-1243	85	57	ṫ	ṫ	PROPN
ejpam-1243	85	58	+	+	CCONJ
ejpam-1243	85	59	kτt∇2	kτt∇2	PROPN
ejpam-1243	85	60	ẗ	ẗ	X
ejpam-1243	85	61	=	=	SYM
ejpam-1243	85	62	�	�	PROPN
ejpam-1243	85	63	1+τq	1+τq	NUM
ejpam-1243	85	64	∂	∂	NUM
ejpam-1243	85	65	∂	∂	NOUN
ejpam-1243	85	66	t	t	NOUN
ejpam-1243	86	1	+	+	CCONJ
ejpam-1243	86	2	1	1	NUM
ejpam-1243	86	3	2	2	NUM
ejpam-1243	86	4	τ2	τ2	PROPN
ejpam-1243	86	5	q	q	NOUN
ejpam-1243	86	6	∂	∂	NUM
ejpam-1243	86	7	2	2	NUM
ejpam-1243	86	8	∂	∂	NOUN
ejpam-1243	86	9	t2	t2	PROPN
ejpam-1243	86	10	�	�	PROPN
ejpam-1243	86	11	×	×	PROPN
ejpam-1243	86	12	�	�	PROPN
ejpam-1243	86	13	ρce	ρce	NOUN
ejpam-1243	86	14	ẗ	ẗ	PUNCT
ejpam-1243	87	1	+	+	PROPN
ejpam-1243	87	2	t0	t0	PROPN
ejpam-1243	87	3	∂	∂	NUM
ejpam-1243	87	4	2	2	NUM
ejpam-1243	87	5	∂	∂	NUM
ejpam-1243	87	6	t2	t2	PROPN
ejpam-1243	87	7	�	�	PROPN
ejpam-1243	87	8	β11	β11	PROPN
ejpam-1243	87	9	∂	∂	NUM
ejpam-1243	87	10	u	u	NOUN
ejpam-1243	87	11	∂	∂	NOUN
ejpam-1243	87	12	r	r	NOUN
ejpam-1243	87	13	+	+	NUM
ejpam-1243	87	14	β22	β22	NOUN
ejpam-1243	87	15	u	u	NOUN
ejpam-1243	87	16	r	r	PROPN
ejpam-1243	87	17	�	�	PROPN
ejpam-1243	87	18	�	�	PROPN
ejpam-1243	87	19	,	,	PUNCT
ejpam-1243	87	20	(	(	PUNCT
ejpam-1243	87	21	3	3	X
ejpam-1243	87	22	)	)	PUNCT
ejpam-1243	87	23	where	where	SCONJ
ejpam-1243	87	24	τi	τi	ADP
ejpam-1243	87	25	j	j	PROPN
ejpam-1243	87	26	(	(	PUNCT
ejpam-1243	87	27	i	i	PROPN
ejpam-1243	87	28	,	,	PUNCT
ejpam-1243	87	29	j	j	PROPN
ejpam-1243	87	30	=	=	SYM
ejpam-1243	87	31	r	r	PROPN
ejpam-1243	87	32	,	,	PUNCT
ejpam-1243	87	33	θ	θ	NOUN
ejpam-1243	87	34	)	)	PUNCT
ejpam-1243	87	35	is	be	AUX
ejpam-1243	87	36	the	the	DET
ejpam-1243	87	37	stress	stress	NOUN
ejpam-1243	87	38	tensor	tensor	NOUN
ejpam-1243	87	39	,	,	PUNCT
ejpam-1243	87	40	t	t	PROPN
ejpam-1243	87	41	is	be	AUX
ejpam-1243	87	42	the	the	DET
ejpam-1243	87	43	temperature	temperature	NOUN
ejpam-1243	87	44	increase	increase	NOUN
ejpam-1243	87	45	over	over	ADP
ejpam-1243	87	46	the	the	DET
ejpam-1243	87	47	reference	reference	NOUN
ejpam-1243	87	48	temperature	temperature	NOUN
ejpam-1243	87	49	t0	t0	PROPN
ejpam-1243	87	50	,	,	PUNCT
ejpam-1243	87	51	c11	c11	NOUN
ejpam-1243	87	52	and	and	CCONJ
ejpam-1243	87	53	c12	c12	PROPN
ejpam-1243	87	54	are	be	AUX
ejpam-1243	87	55	elastic	elastic	ADJ
ejpam-1243	87	56	constants	constant	NOUN
ejpam-1243	87	57	,	,	PUNCT
ejpam-1243	87	58	β11	β11	PROPN
ejpam-1243	87	59	and	and	CCONJ
ejpam-1243	87	60	β22	β22	NOUN
ejpam-1243	87	61	are	be	AUX
ejpam-1243	87	62	thermal	thermal	ADJ
ejpam-1243	87	63	modulii	modulii	NOUN
ejpam-1243	87	64	,	,	PUNCT
ejpam-1243	87	65	k	k	PROPN
ejpam-1243	87	66	is	be	AUX
ejpam-1243	87	67	the	the	DET
ejpam-1243	87	68	coefficient	coefficient	NOUN
ejpam-1243	87	69	of	of	ADP
ejpam-1243	87	70	thermal	thermal	ADJ
ejpam-1243	87	71	conductivity	conductivity	NOUN
ejpam-1243	87	72	along	along	ADP
ejpam-1243	87	73	radial	radial	ADJ
ejpam-1243	87	74	direction	direction	NOUN
ejpam-1243	87	75	,	,	PUNCT
ejpam-1243	87	76	k∗	k∗	PROPN
ejpam-1243	87	77	is	be	AUX
ejpam-1243	87	78	the	the	DET
ejpam-1243	87	79	additional	additional	ADJ
ejpam-1243	87	80	material	material	NOUN
ejpam-1243	87	81	constant	constant	ADJ
ejpam-1243	87	82	along	along	ADP
ejpam-1243	87	83	radial	radial	ADJ
ejpam-1243	87	84	direction	direction	NOUN
ejpam-1243	87	85	,	,	PUNCT
ejpam-1243	87	86	ρ	ρ	PROPN
ejpam-1243	87	87	is	be	AUX
ejpam-1243	87	88	the	the	DET
ejpam-1243	87	89	mass	mass	ADJ
ejpam-1243	87	90	density	density	NOUN
ejpam-1243	87	91	,	,	PUNCT
ejpam-1243	87	92	ce	ce	PROPN
ejpam-1243	87	93	is	be	AUX
ejpam-1243	87	94	the	the	DET
ejpam-1243	87	95	specific	specific	ADJ
ejpam-1243	87	96	heat	heat	NOUN
ejpam-1243	87	97	of	of	ADP
ejpam-1243	87	98	the	the	DET
ejpam-1243	87	99	solid	solid	ADJ
ejpam-1243	87	100	at	at	ADP
ejpam-1243	87	101	constant	constant	ADJ
ejpam-1243	87	102	strain	strain	NOUN
ejpam-1243	87	103	,	,	PUNCT
ejpam-1243	87	104	τt	τt	ADJ
ejpam-1243	87	105	and	and	CCONJ
ejpam-1243	87	106	τq	τq	NUM
ejpam-1243	87	107	are	be	AUX
ejpam-1243	87	108	the	the	DET
ejpam-1243	87	109	the	the	DET
ejpam-1243	87	110	phase	phase	NOUN
ejpam-1243	87	111	-	-	PUNCT
ejpam-1243	87	112	lag	lag	NOUN
ejpam-1243	87	113	of	of	ADP
ejpam-1243	87	114	temperature	temperature	NOUN
ejpam-1243	87	115	gradient	gradient	NOUN
ejpam-1243	87	116	and	and	CCONJ
ejpam-1243	87	117	the	the	DET
ejpam-1243	87	118	phase	phase	NOUN
ejpam-1243	87	119	-	-	PUNCT
ejpam-1243	87	120	lag	lag	NOUN
ejpam-1243	87	121	of	of	ADP
ejpam-1243	87	122	heat	heat	NOUN
ejpam-1243	87	123	flux	flux	NOUN
ejpam-1243	87	124	respectively	respectively	ADV
ejpam-1243	87	125	.	.	PUNCT
ejpam-1243	88	1	also	also	ADV
ejpam-1243	88	2	τ∗ν	τ∗ν	PUNCT
ejpam-1243	88	3	=	=	SYM
ejpam-1243	88	4	k+τνk	k+τνk	NOUN
ejpam-1243	88	5	∗	∗	NOUN
ejpam-1243	88	6	,	,	PUNCT
ejpam-1243	88	7	where	where	SCONJ
ejpam-1243	88	8	τν	τν	PRON
ejpam-1243	88	9	is	be	AUX
ejpam-1243	88	10	the	the	DET
ejpam-1243	88	11	phase	phase	NOUN
ejpam-1243	88	12	-	-	PUNCT
ejpam-1243	88	13	lag	lag	NOUN
ejpam-1243	88	14	of	of	ADP
ejpam-1243	88	15	thermal	thermal	ADJ
ejpam-1243	88	16	displacement	displacement	ADJ
ejpam-1243	88	17	gradient	gradient	NOUN
ejpam-1243	88	18	.	.	PUNCT
ejpam-1243	89	1	equations	equation	NOUN
ejpam-1243	89	2	(	(	PUNCT
ejpam-1243	89	3	1	1	NUM
ejpam-1243	89	4	)	)	PUNCT
ejpam-1243	89	5	(	(	PUNCT
ejpam-1243	89	6	3	3	NUM
ejpam-1243	89	7	)	)	PUNCT
ejpam-1243	89	8	,	,	PUNCT
ejpam-1243	89	9	when	when	SCONJ
ejpam-1243	89	10	k	k	PROPN
ejpam-1243	89	11	=	=	X
ejpam-1243	89	12	τt	τt	PROPN
ejpam-1243	90	1	=	=	PUNCT
ejpam-1243	90	2	τq	τq	NOUN
ejpam-1243	91	1	=	=	PUNCT
ejpam-1243	91	2	τν	τν	NOUN
ejpam-1243	91	3	=	=	NOUN
ejpam-1243	91	4	0	0	NUM
ejpam-1243	91	5	,	,	PUNCT
ejpam-1243	91	6	reduce	reduce	VERB
ejpam-1243	91	7	to	to	ADP
ejpam-1243	91	8	the	the	DET
ejpam-1243	91	9	equations	equation	NOUN
ejpam-1243	91	10	of	of	ADP
ejpam-1243	91	11	a.	a.	PROPN
ejpam-1243	91	12	kar	kar	PROPN
ejpam-1243	91	13	,	,	PUNCT
ejpam-1243	91	14	m.	m.	NOUN
ejpam-1243	91	15	kanoria	kanoria	PROPN
ejpam-1243	91	16	/	/	SYM
ejpam-1243	91	17	eur	eur	PROPN
ejpam-1243	91	18	.	.	PUNCT
ejpam-1243	92	1	j.	j.	PROPN
ejpam-1243	92	2	pure	pure	PROPN
ejpam-1243	92	3	appl	appl	PROPN
ejpam-1243	92	4	.	.	PROPN
ejpam-1243	92	5	math	math	PROPN
ejpam-1243	92	6	,	,	PUNCT
ejpam-1243	92	7	4	4	NUM
ejpam-1243	92	8	(	(	PUNCT
ejpam-1243	92	9	2011	2011	NUM
ejpam-1243	92	10	)	)	PUNCT
ejpam-1243	92	11	,	,	PUNCT
ejpam-1243	92	12	304	304	NUM
ejpam-1243	92	13	-	-	SYM
ejpam-1243	92	14	321	321	NUM
ejpam-1243	92	15	308	308	NUM
ejpam-1243	92	16	thermo	thermo	NOUN
ejpam-1243	92	17	-	-	PUNCT
ejpam-1243	92	18	elasticity	elasticity	NOUN
ejpam-1243	92	19	without	without	ADP
ejpam-1243	92	20	energy	energy	NOUN
ejpam-1243	92	21	dissipation	dissipation	NOUN
ejpam-1243	92	22	(	(	PUNCT
ejpam-1243	92	23	tewoed(gn	tewoed(gn	NOUN
ejpam-1243	92	24	-	-	PUNCT
ejpam-1243	92	25	ii	ii	NOUN
ejpam-1243	92	26	)	)	PUNCT
ejpam-1243	92	27	)	)	PUNCT
ejpam-1243	93	1	theory	theory	NOUN
ejpam-1243	93	2	.	.	PUNCT
ejpam-1243	94	1	the	the	DET
ejpam-1243	94	2	stress	stress	NOUN
ejpam-1243	94	3	equation	equation	NOUN
ejpam-1243	94	4	of	of	ADP
ejpam-1243	94	5	motion	motion	NOUN
ejpam-1243	94	6	in	in	ADP
ejpam-1243	94	7	plain	plain	ADJ
ejpam-1243	94	8	polar	polar	ADJ
ejpam-1243	94	9	co	co	NOUN
ejpam-1243	94	10	-	-	NOUN
ejpam-1243	94	11	ordinates	ordinate	NOUN
ejpam-1243	94	12	is	be	AUX
ejpam-1243	94	13	given	give	VERB
ejpam-1243	94	14	by	by	ADP
ejpam-1243	94	15	∂	∂	NUM
ejpam-1243	94	16	τr	τr	ADP
ejpam-1243	95	1	r	r	NOUN
ejpam-1243	95	2	∂	∂	NUM
ejpam-1243	95	3	r	r	NOUN
ejpam-1243	95	4	+	+	NOUN
ejpam-1243	95	5	1	1	NUM
ejpam-1243	95	6	r	r	NOUN
ejpam-1243	95	7	(	(	PUNCT
ejpam-1243	95	8	τr	τr	ADP
ejpam-1243	95	9	r	r	NOUN
ejpam-1243	95	10	−τθθ	−τθθ	NUM
ejpam-1243	95	11	)	)	PUNCT
ejpam-1243	96	1	=	=	SYM
ejpam-1243	96	2	ρ	ρ	PROPN
ejpam-1243	96	3	∂	∂	NUM
ejpam-1243	96	4	2u	2u	PROPN
ejpam-1243	96	5	∂	∂	NOUN
ejpam-1243	96	6	t2	t2	PROPN
ejpam-1243	96	7	.	.	PUNCT
ejpam-1243	97	1	(	(	PUNCT
ejpam-1243	97	2	4	4	X
ejpam-1243	97	3	)	)	PUNCT
ejpam-1243	97	4	for	for	ADP
ejpam-1243	97	5	transversely	transversely	ADJ
ejpam-1243	97	6	isotropic	isotropic	ADJ
ejpam-1243	97	7	body	body	NOUN
ejpam-1243	97	8	β11	β11	NOUN
ejpam-1243	97	9	=	=	PUNCT
ejpam-1243	97	10	β22	β22	NOUN
ejpam-1243	98	1	[	[	X
ejpam-1243	98	2	9	9	NUM
ejpam-1243	98	3	]	]	PUNCT
ejpam-1243	98	4	.	.	PUNCT
ejpam-1243	99	1	introducing	introduce	VERB
ejpam-1243	99	2	the	the	DET
ejpam-1243	99	3	following	follow	VERB
ejpam-1243	99	4	dimensionless	dimensionless	NOUN
ejpam-1243	99	5	quantities	quantity	NOUN
ejpam-1243	99	6	u	u	NOUN
ejpam-1243	99	7	=	=	PROPN
ejpam-1243	99	8	c11	c11	NOUN
ejpam-1243	99	9	aβ11t0	aβ11t0	PROPN
ejpam-1243	99	10	u	u	PROPN
ejpam-1243	99	11	,	,	PUNCT
ejpam-1243	99	12	(	(	PUNCT
ejpam-1243	99	13	r	r	NOUN
ejpam-1243	99	14	,	,	PUNCT
ejpam-1243	99	15	s	s	NOUN
ejpam-1243	99	16	)	)	PUNCT
ejpam-1243	99	17	=	=	SYM
ejpam-1243	99	18	�	�	PROPN
ejpam-1243	99	19	r	r	NOUN
ejpam-1243	99	20	a	a	PRON
ejpam-1243	99	21	,	,	PUNCT
ejpam-1243	99	22	b	b	PROPN
ejpam-1243	99	23	a	a	DET
ejpam-1243	99	24	�	�	PROPN
ejpam-1243	99	25	,	,	PUNCT
ejpam-1243	99	26	(	(	PUNCT
ejpam-1243	99	27	σr	σr	PROPN
ejpam-1243	99	28	,	,	PUNCT
ejpam-1243	99	29	σθ	σθ	NOUN
ejpam-1243	99	30	)	)	PUNCT
ejpam-1243	100	1	=	=	SYM
ejpam-1243	100	2	1	1	NUM
ejpam-1243	100	3	β11t0	β11t0	NOUN
ejpam-1243	100	4	(	(	PUNCT
ejpam-1243	100	5	τr	τr	NOUN
ejpam-1243	100	6	r	r	NOUN
ejpam-1243	100	7	,	,	PUNCT
ejpam-1243	100	8	τθθ	τθθ	NOUN
ejpam-1243	100	9	)	)	PUNCT
ejpam-1243	100	10	,	,	PUNCT
ejpam-1243	100	11	θ	θ	PROPN
ejpam-1243	100	12	=	=	SYM
ejpam-1243	100	13	t	t	PROPN
ejpam-1243	100	14	t0	t0	PROPN
ejpam-1243	100	15	,	,	PUNCT
ejpam-1243	100	16	η	η	PROPN
ejpam-1243	100	17	=	=	PROPN
ejpam-1243	100	18	gt	gt	PROPN
ejpam-1243	100	19	a	a	DET
ejpam-1243	100	20	,	,	PUNCT
ejpam-1243	100	21	(	(	PUNCT
ejpam-1243	100	22	c1	c1	PROPN
ejpam-1243	100	23	,	,	PUNCT
ejpam-1243	100	24	c2	c2	PROPN
ejpam-1243	100	25	)	)	PUNCT
ejpam-1243	100	26	=	=	SYM
ejpam-1243	100	27	1	1	NUM
ejpam-1243	100	28	c11	c11	NOUN
ejpam-1243	100	29	(	(	PUNCT
ejpam-1243	100	30	c11	c11	NOUN
ejpam-1243	100	31	,	,	PUNCT
ejpam-1243	100	32	c12	c12	PROPN
ejpam-1243	100	33	)	)	PUNCT
ejpam-1243	100	34	,	,	PUNCT
ejpam-1243	100	35	g2	g2	PROPN
ejpam-1243	100	36	=	=	PROPN
ejpam-1243	100	37	c11	c11	PROPN
ejpam-1243	100	38	ρ	ρ	PROPN
ejpam-1243	100	39	,	,	PUNCT
ejpam-1243	100	40	(	(	PUNCT
ejpam-1243	100	41	τ′q	τ′q	NOUN
ejpam-1243	100	42	,	,	PUNCT
ejpam-1243	100	43	τ′ν	τ′ν	VERB
ejpam-1243	100	44	,	,	PUNCT
ejpam-1243	100	45	τ	τ	PROPN
ejpam-1243	100	46	′	′	NOUN
ejpam-1243	100	47	t	t	NOUN
ejpam-1243	100	48	)	)	PUNCT
ejpam-1243	100	49	=	=	PUNCT
ejpam-1243	101	1	g	g	ADP
ejpam-1243	101	2	a	a	DET
ejpam-1243	101	3	�	�	PROPN
ejpam-1243	101	4	τq	τq	ADP
ejpam-1243	101	5	,	,	PUNCT
ejpam-1243	101	6	τν	τν	PRON
ejpam-1243	101	7	,	,	PUNCT
ejpam-1243	101	8	τt	τt	PROPN
ejpam-1243	101	9	�	�	PROPN
ejpam-1243	101	10	equations	equation	NOUN
ejpam-1243	101	11	(	(	PUNCT
ejpam-1243	101	12	1	1	NUM
ejpam-1243	101	13	)	)	PUNCT
ejpam-1243	101	14	,	,	PUNCT
ejpam-1243	101	15	(	(	PUNCT
ejpam-1243	101	16	2	2	NUM
ejpam-1243	101	17	)	)	PUNCT
ejpam-1243	101	18	,	,	PUNCT
ejpam-1243	101	19	(	(	PUNCT
ejpam-1243	101	20	3	3	X
ejpam-1243	101	21	)	)	PUNCT
ejpam-1243	101	22	and	and	CCONJ
ejpam-1243	101	23	(	(	PUNCT
ejpam-1243	101	24	4	4	X
ejpam-1243	101	25	)	)	PUNCT
ejpam-1243	101	26	become	become	VERB
ejpam-1243	101	27	σr	σr	PROPN
ejpam-1243	101	28	=	=	SYM
ejpam-1243	101	29	∂	∂	NUM
ejpam-1243	101	30	u	u	NOUN
ejpam-1243	101	31	∂	∂	NOUN
ejpam-1243	101	32	r	r	NOUN
ejpam-1243	101	33	+	+	NUM
ejpam-1243	101	34	c2	c2	PROPN
ejpam-1243	101	35	u	u	NOUN
ejpam-1243	101	36	r	r	NOUN
ejpam-1243	101	37	−θ	−θ	NOUN
ejpam-1243	101	38	,	,	PUNCT
ejpam-1243	101	39	(	(	PUNCT
ejpam-1243	101	40	5	5	X
ejpam-1243	101	41	)	)	PUNCT
ejpam-1243	101	42	σθ	σθ	NOUN
ejpam-1243	101	43	=	=	PUNCT
ejpam-1243	101	44	c2	c2	PROPN
ejpam-1243	101	45	∂	∂	NUM
ejpam-1243	101	46	u	u	NOUN
ejpam-1243	101	47	∂	∂	NOUN
ejpam-1243	101	48	r	r	NOUN
ejpam-1243	101	49	+	+	NUM
ejpam-1243	101	50	u	u	NOUN
ejpam-1243	101	51	r	r	NOUN
ejpam-1243	101	52	−θ	−θ	NOUN
ejpam-1243	101	53	,	,	PUNCT
ejpam-1243	101	54	(	(	PUNCT
ejpam-1243	101	55	6	6	X
ejpam-1243	101	56	)	)	PUNCT
ejpam-1243	101	57	�	�	PROPN
ejpam-1243	101	58	c2	c2	PROPN
ejpam-1243	101	59	t	t	PROPN
ejpam-1243	101	60	+	+	CCONJ
ejpam-1243	101	61	(	(	PUNCT
ejpam-1243	101	62	c	c	PROPN
ejpam-1243	101	63	2	2	NUM
ejpam-1243	101	64	k	k	X
ejpam-1243	102	1	+	+	NOUN
ejpam-1243	102	2	τ	τ	X
ejpam-1243	102	3	′	′	NUM
ejpam-1243	102	4	νc	νc	X
ejpam-1243	102	5	2	2	NUM
ejpam-1243	102	6	t	t	NOUN
ejpam-1243	102	7	)	)	PUNCT
ejpam-1243	102	8	∂	∂	NUM
ejpam-1243	102	9	∂	∂	NUM
ejpam-1243	102	10	η	η	PROPN
ejpam-1243	102	11	+	+	PROPN
ejpam-1243	102	12	τ′t	τ′t	PROPN
ejpam-1243	102	13	c2	c2	PROPN
ejpam-1243	102	14	k	k	PROPN
ejpam-1243	102	15	∂	∂	NUM
ejpam-1243	102	16	2	2	NUM
ejpam-1243	102	17	∂	∂	NUM
ejpam-1243	102	18	η2	η2	PROPN
ejpam-1243	102	19	�	�	PROPN
ejpam-1243	102	20	�	�	PROPN
ejpam-1243	102	21	∂	∂	NUM
ejpam-1243	102	22	2θ	2θ	NUM
ejpam-1243	102	23	∂	∂	NUM
ejpam-1243	102	24	r2	r2	NOUN
ejpam-1243	102	25	+	+	CCONJ
ejpam-1243	102	26	1	1	NUM
ejpam-1243	102	27	r	r	NOUN
ejpam-1243	102	28	∂θ	∂θ	PROPN
ejpam-1243	102	29	∂	∂	NUM
ejpam-1243	102	30	r	r	NOUN
ejpam-1243	102	31	�	�	PROPN
ejpam-1243	102	32	=	=	SYM
ejpam-1243	102	33	�	�	PROPN
ejpam-1243	102	34	1+τ′q	1+τ′q	PROPN
ejpam-1243	102	35	∂	∂	NUM
ejpam-1243	102	36	∂	∂	NUM
ejpam-1243	102	37	η	η	PROPN
ejpam-1243	102	38	+	+	PROPN
ejpam-1243	102	39	1	1	NUM
ejpam-1243	102	40	2	2	NUM
ejpam-1243	102	41	τ′2q	τ′2q	SYM
ejpam-1243	102	42	∂	∂	NUM
ejpam-1243	102	43	2	2	NUM
ejpam-1243	102	44	∂	∂	NUM
ejpam-1243	102	45	η2	η2	PROPN
ejpam-1243	102	46	�	�	PROPN
ejpam-1243	102	47	�	�	PROPN
ejpam-1243	102	48	∂	∂	NUM
ejpam-1243	102	49	2θ	2θ	NUM
ejpam-1243	102	50	∂	∂	NUM
ejpam-1243	102	51	η2	η2	PROPN
ejpam-1243	102	52	+	+	CCONJ
ejpam-1243	102	53	ε	ε	PROPN
ejpam-1243	102	54	∂	∂	NUM
ejpam-1243	102	55	2	2	NUM
ejpam-1243	102	56	∂	∂	NUM
ejpam-1243	102	57	η2	η2	VERB
ejpam-1243	102	58	�	�	PROPN
ejpam-1243	102	59	∂	∂	NUM
ejpam-1243	102	60	u	u	NOUN
ejpam-1243	102	61	∂	∂	NOUN
ejpam-1243	102	62	r	r	NOUN
ejpam-1243	102	63	+	+	CCONJ
ejpam-1243	102	64	u	u	NOUN
ejpam-1243	102	65	r	r	NOUN
ejpam-1243	102	66	�	�	PROPN
ejpam-1243	102	67	�	�	PROPN
ejpam-1243	102	68	(	(	PUNCT
ejpam-1243	102	69	7	7	NUM
ejpam-1243	102	70	)	)	PUNCT
ejpam-1243	102	71	and	and	CCONJ
ejpam-1243	102	72	∂	∂	NUM
ejpam-1243	102	73	2u	2u	NOUN
ejpam-1243	102	74	∂	∂	NOUN
ejpam-1243	102	75	r2	r2	NOUN
ejpam-1243	102	76	+	+	CCONJ
ejpam-1243	102	77	1	1	NUM
ejpam-1243	102	78	r	r	NOUN
ejpam-1243	102	79	∂	∂	NUM
ejpam-1243	102	80	u	u	NOUN
ejpam-1243	102	81	∂	∂	NOUN
ejpam-1243	102	82	r	r	NOUN
ejpam-1243	102	83	−	−	NOUN
ejpam-1243	102	84	u	u	NOUN
ejpam-1243	102	85	r2	r2	PROPN
ejpam-1243	102	86	=	=	SYM
ejpam-1243	102	87	∂θ	∂θ	NOUN
ejpam-1243	102	88	∂	∂	NUM
ejpam-1243	102	89	r	r	NOUN
ejpam-1243	102	90	+	+	SYM
ejpam-1243	102	91	∂	∂	NUM
ejpam-1243	102	92	2u	2u	NOUN
ejpam-1243	102	93	∂	∂	NOUN
ejpam-1243	102	94	η2	η2	PROPN
ejpam-1243	102	95	,	,	PUNCT
ejpam-1243	102	96	(	(	PUNCT
ejpam-1243	102	97	8)	8)	NUM
ejpam-1243	102	98	where	where	SCONJ
ejpam-1243	102	99	c2	c2	PROPN
ejpam-1243	102	100	t	t	PROPN
ejpam-1243	102	101	=	=	SYM
ejpam-1243	102	102	k∗	k∗	PROPN
ejpam-1243	102	103	ρceg2	ρceg2	NOUN
ejpam-1243	102	104	,	,	PUNCT
ejpam-1243	102	105	c2	c2	PROPN
ejpam-1243	102	106	k	k	PROPN
ejpam-1243	103	1	=	=	PUNCT
ejpam-1243	103	2	k	k	PROPN
ejpam-1243	103	3	aρceg	aρceg	VERB
ejpam-1243	103	4	,	,	PUNCT
ejpam-1243	103	5	and	and	CCONJ
ejpam-1243	103	6	ε	ε	PROPN
ejpam-1243	103	7	=	=	SYM
ejpam-1243	103	8	β2	β2	PROPN
ejpam-1243	104	1	11t0	11t0	NUM
ejpam-1243	104	2	ρcec11	ρcec11	ADJ
ejpam-1243	104	3	are	be	AUX
ejpam-1243	104	4	dimensionless	dimensionless	ADJ
ejpam-1243	104	5	constants	constant	NOUN
ejpam-1243	104	6	,	,	PUNCT
ejpam-1243	104	7	ε	ε	PROPN
ejpam-1243	104	8	is	be	AUX
ejpam-1243	104	9	the	the	DET
ejpam-1243	104	10	thermoelastic	thermoelastic	ADJ
ejpam-1243	104	11	coupling	coupling	NOUN
ejpam-1243	104	12	constant	constant	ADJ
ejpam-1243	104	13	,	,	PUNCT
ejpam-1243	104	14	ct	ct	PROPN
ejpam-1243	104	15	is	be	AUX
ejpam-1243	104	16	the	the	DET
ejpam-1243	104	17	nondimensional	nondimensional	ADJ
ejpam-1243	104	18	thermal	thermal	ADJ
ejpam-1243	104	19	wave	wave	NOUN
ejpam-1243	104	20	velocity	velocity	NOUN
ejpam-1243	104	21	and	and	CCONJ
ejpam-1243	104	22	ck	ck	NOUN
ejpam-1243	104	23	is	be	AUX
ejpam-1243	104	24	the	the	DET
ejpam-1243	104	25	damping	damp	VERB
ejpam-1243	104	26	co	co	NOUN
ejpam-1243	104	27	-	-	ADJ
ejpam-1243	104	28	efficient	efficient	ADJ
ejpam-1243	104	29	.	.	PUNCT
ejpam-1243	105	1	when	when	SCONJ
ejpam-1243	105	2	ck	ck	ADJ
ejpam-1243	105	3	=	=	SYM
ejpam-1243	105	4	0	0	PROPN
ejpam-1243	105	5	and	and	CCONJ
ejpam-1243	105	6	τt	τt	PRON
ejpam-1243	105	7	=	=	PUNCT
ejpam-1243	106	1	τq	τq	NOUN
ejpam-1243	106	2	=	=	PUNCT
ejpam-1243	106	3	τν	τν	NOUN
ejpam-1243	106	4	=	=	NOUN
ejpam-1243	106	5	0	0	PROPN
ejpam-1243	106	6	,	,	PUNCT
ejpam-1243	106	7	the	the	DET
ejpam-1243	106	8	corresponding	corresponding	ADJ
ejpam-1243	106	9	equations	equation	NOUN
ejpam-1243	106	10	become	become	VERB
ejpam-1243	106	11	the	the	DET
ejpam-1243	106	12	equations	equation	NOUN
ejpam-1243	106	13	of	of	ADP
ejpam-1243	106	14	thermo	thermo	NOUN
ejpam-1243	106	15	-	-	PUNCT
ejpam-1243	106	16	elasticity	elasticity	NOUN
ejpam-1243	106	17	without	without	ADP
ejpam-1243	106	18	energy	energy	NOUN
ejpam-1243	106	19	dissipation	dissipation	NOUN
ejpam-1243	106	20	theory	theory	NOUN
ejpam-1243	106	21	(	(	PUNCT
ejpam-1243	106	22	tewoed(gn	tewoed(gn	PROPN
ejpam-1243	106	23	-	-	PUNCT
ejpam-1243	106	24	ii	ii	NOUN
ejpam-1243	106	25	)	)	PUNCT
ejpam-1243	106	26	)	)	PUNCT
ejpam-1243	106	27	for	for	ADP
ejpam-1243	106	28	green	green	ADJ
ejpam-1243	106	29	-	-	PUNCT
ejpam-1243	106	30	naghdi	naghdi	NOUN
ejpam-1243	106	31	model	model	NOUN
ejpam-1243	106	32	.	.	PUNCT
ejpam-1243	107	1	the	the	DET
ejpam-1243	107	2	thermal	thermal	ADJ
ejpam-1243	107	3	and	and	CCONJ
ejpam-1243	107	4	mechanical	mechanical	ADJ
ejpam-1243	107	5	boundary	boundary	ADJ
ejpam-1243	107	6	conditions	condition	NOUN
ejpam-1243	107	7	are	be	AUX
ejpam-1243	107	8	given	give	VERB
ejpam-1243	107	9	by	by	ADP
ejpam-1243	107	10	qin	qin	PROPN
ejpam-1243	107	11	=	=	SYM
ejpam-1243	107	12	−	−	PROPN
ejpam-1243	107	13	∂θ	∂θ	PROPN
ejpam-1243	107	14	∂	∂	NUM
ejpam-1243	107	15	r	r	NOUN
ejpam-1243	107	16	,	,	PUNCT
ejpam-1243	107	17	u	u	NOUN
ejpam-1243	107	18	=	=	NOUN
ejpam-1243	107	19	0	0	NUM
ejpam-1243	107	20	on	on	ADP
ejpam-1243	107	21	r=	r=	ADJ
ejpam-1243	107	22	1	1	NUM
ejpam-1243	107	23	,	,	PUNCT
ejpam-1243	107	24	(	(	PUNCT
ejpam-1243	107	25	9	9	NUM
ejpam-1243	107	26	)	)	PUNCT
ejpam-1243	107	27	θ	θ	NOUN
ejpam-1243	107	28	=	=	SYM
ejpam-1243	107	29	0	0	NUM
ejpam-1243	107	30	,	,	PUNCT
ejpam-1243	107	31	σr	σr	NOUN
ejpam-1243	107	32	=	=	SYM
ejpam-1243	107	33	0	0	NUM
ejpam-1243	107	34	on	on	ADP
ejpam-1243	107	35	r=	r=	PROPN
ejpam-1243	107	36	s.	s.	PROPN
ejpam-1243	107	37	(	(	PUNCT
ejpam-1243	107	38	10	10	NUM
ejpam-1243	107	39	)	)	PUNCT
ejpam-1243	107	40	the	the	DET
ejpam-1243	107	41	term	term	NOUN
ejpam-1243	107	42	qin	qin	NOUN
ejpam-1243	108	1	=	=	SYM
ejpam-1243	108	2	qin(t	qin(t	PROPN
ejpam-1243	108	3	)	)	PUNCT
ejpam-1243	109	1	in	in	ADP
ejpam-1243	109	2	equation	equation	NOUN
ejpam-1243	109	3	(	(	PUNCT
ejpam-1243	109	4	9	9	NUM
ejpam-1243	109	5	)	)	PUNCT
ejpam-1243	109	6	is	be	AUX
ejpam-1243	109	7	the	the	DET
ejpam-1243	109	8	time	time	NOUN
ejpam-1243	109	9	dependent	dependent	ADJ
ejpam-1243	109	10	heat	heat	NOUN
ejpam-1243	109	11	flux	flux	NOUN
ejpam-1243	109	12	applied	apply	VERB
ejpam-1243	109	13	to	to	ADP
ejpam-1243	109	14	the	the	DET
ejpam-1243	109	15	inner	inner	ADJ
ejpam-1243	109	16	boundary	boundary	NOUN
ejpam-1243	109	17	(	(	PUNCT
ejpam-1243	109	18	r=	r=	ADJ
ejpam-1243	109	19	1	1	NUM
ejpam-1243	109	20	)	)	PUNCT
ejpam-1243	109	21	of	of	ADP
ejpam-1243	109	22	the	the	DET
ejpam-1243	109	23	disc	disc	NOUN
ejpam-1243	109	24	.	.	PUNCT
ejpam-1243	110	1	we	we	PRON
ejpam-1243	110	2	assume	assume	VERB
ejpam-1243	110	3	that	that	SCONJ
ejpam-1243	110	4	the	the	DET
ejpam-1243	110	5	medium	medium	NOUN
ejpam-1243	110	6	is	be	AUX
ejpam-1243	110	7	at	at	ADP
ejpam-1243	110	8	rest	rest	NOUN
ejpam-1243	110	9	and	and	CCONJ
ejpam-1243	110	10	undisturbed	undisturbed	ADJ
ejpam-1243	110	11	initially	initially	ADV
ejpam-1243	110	12	.	.	PUNCT
ejpam-1243	111	1	the	the	DET
ejpam-1243	111	2	initial	initial	ADJ
ejpam-1243	111	3	conditions	condition	NOUN
ejpam-1243	111	4	can	can	AUX
ejpam-1243	111	5	be	be	AUX
ejpam-1243	111	6	written	write	VERB
ejpam-1243	111	7	as	as	ADP
ejpam-1243	111	8	u	u	NOUN
ejpam-1243	111	9	=	=	NOUN
ejpam-1243	111	10	∂	∂	NUM
ejpam-1243	111	11	u	u	PROPN
ejpam-1243	111	12	∂	∂	PROPN
ejpam-1243	111	13	η	η	PROPN
ejpam-1243	111	14	=	=	PROPN
ejpam-1243	111	15	∂	∂	PROPN
ejpam-1243	111	16	2u	2u	PROPN
ejpam-1243	111	17	∂	∂	NOUN
ejpam-1243	111	18	η2	η2	ADJ
ejpam-1243	111	19	=	=	SYM
ejpam-1243	111	20	0	0	NUM
ejpam-1243	111	21	and	and	CCONJ
ejpam-1243	111	22	θ	θ	PROPN
ejpam-1243	111	23	=	=	SYM
ejpam-1243	112	1	∂θ	∂θ	PROPN
ejpam-1243	112	2	∂	∂	NUM
ejpam-1243	112	3	η	η	X
ejpam-1243	112	4	=	=	PROPN
ejpam-1243	112	5	∂	∂	NUM
ejpam-1243	112	6	2θ	2θ	NUM
ejpam-1243	112	7	∂	∂	NUM
ejpam-1243	112	8	η2	η2	ADJ
ejpam-1243	112	9	=	=	SYM
ejpam-1243	112	10	0	0	NUM
ejpam-1243	112	11	at	at	ADP
ejpam-1243	112	12	η=	η=	NOUN
ejpam-1243	112	13	0,1≤	0,1≤	NUM
ejpam-1243	113	1	r≤	r≤	PROPN
ejpam-1243	113	2	s.	s.	PROPN
ejpam-1243	113	3	(	(	PUNCT
ejpam-1243	113	4	11	11	NUM
ejpam-1243	113	5	)	)	PUNCT
ejpam-1243	113	6	a.	a.	NOUN
ejpam-1243	113	7	kar	kar	PROPN
ejpam-1243	113	8	,	,	PUNCT
ejpam-1243	113	9	m.	m.	NOUN
ejpam-1243	113	10	kanoria	kanoria	PROPN
ejpam-1243	113	11	/	/	SYM
ejpam-1243	113	12	eur	eur	PROPN
ejpam-1243	113	13	.	.	PUNCT
ejpam-1243	114	1	j.	j.	PROPN
ejpam-1243	114	2	pure	pure	PROPN
ejpam-1243	114	3	appl	appl	PROPN
ejpam-1243	114	4	.	.	PROPN
ejpam-1243	114	5	math	math	PROPN
ejpam-1243	114	6	,	,	PUNCT
ejpam-1243	114	7	4	4	NUM
ejpam-1243	114	8	(	(	PUNCT
ejpam-1243	114	9	2011	2011	NUM
ejpam-1243	114	10	)	)	PUNCT
ejpam-1243	114	11	,	,	PUNCT
ejpam-1243	114	12	304	304	NUM
ejpam-1243	114	13	-	-	SYM
ejpam-1243	114	14	321	321	NUM
ejpam-1243	114	15	309	309	NUM
ejpam-1243	114	16	3	3	NUM
ejpam-1243	114	17	.	.	PUNCT
ejpam-1243	114	18	method	method	NOUN
ejpam-1243	114	19	of	of	ADP
ejpam-1243	114	20	solution	solution	NOUN
ejpam-1243	114	21	let	let	VERB
ejpam-1243	114	22	¦	¦	PROPN
ejpam-1243	114	23	u(r	u(r	PROPN
ejpam-1243	114	24	,	,	PUNCT
ejpam-1243	114	25	p),θ(r	p),θ(r	X
ejpam-1243	114	26	,	,	PUNCT
ejpam-1243	114	27	p	p	NOUN
ejpam-1243	114	28	)	)	PUNCT
ejpam-1243	114	29	©	©	PROPN
ejpam-1243	114	30	=	=	SYM
ejpam-1243	114	31	∫	∫	PROPN
ejpam-1243	114	32	∞	∞	PROPN
ejpam-1243	114	33	0	0	NUM
ejpam-1243	114	34	�	�	PROPN
ejpam-1243	114	35	u(r	u(r	PROPN
ejpam-1243	114	36	,	,	PUNCT
ejpam-1243	114	37	η),θ(r	η),θ(r	PROPN
ejpam-1243	114	38	,	,	PUNCT
ejpam-1243	114	39	η	η	NOUN
ejpam-1243	114	40	)	)	PUNCT
ejpam-1243	114	41	e−pηdη	e−pηdη	X
ejpam-1243	115	1	(	(	PUNCT
ejpam-1243	115	2	12	12	NUM
ejpam-1243	115	3	)	)	PUNCT
ejpam-1243	115	4	with	with	ADP
ejpam-1243	115	5	re(p	re(p	NOUN
ejpam-1243	115	6	)	)	PUNCT
ejpam-1243	115	7	>	>	SYM
ejpam-1243	115	8	0	0	PUNCT
ejpam-1243	115	9	denote	denote	VERB
ejpam-1243	115	10	the	the	DET
ejpam-1243	115	11	laplace	laplace	NOUN
ejpam-1243	115	12	transform	transform	NOUN
ejpam-1243	115	13	of	of	ADP
ejpam-1243	115	14	u	u	NOUN
ejpam-1243	115	15	and	and	CCONJ
ejpam-1243	115	16	θ	θ	NOUN
ejpam-1243	115	17	respectively	respectively	ADV
ejpam-1243	115	18	.	.	PUNCT
ejpam-1243	116	1	on	on	ADP
ejpam-1243	116	2	taking	take	VERB
ejpam-1243	116	3	the	the	DET
ejpam-1243	116	4	laplace	laplace	NOUN
ejpam-1243	116	5	transform	transform	NOUN
ejpam-1243	116	6	,	,	PUNCT
ejpam-1243	116	7	equations	equation	NOUN
ejpam-1243	116	8	(	(	PUNCT
ejpam-1243	116	9	7	7	NUM
ejpam-1243	116	10	)	)	PUNCT
ejpam-1243	116	11	and	and	CCONJ
ejpam-1243	116	12	(	(	PUNCT
ejpam-1243	116	13	8)	8)	NUM
ejpam-1243	116	14	reduce	reduce	VERB
ejpam-1243	116	15	to	to	ADP
ejpam-1243	116	16	d2θ	d2θ	PROPN
ejpam-1243	116	17	dr2	dr2	PROPN
ejpam-1243	117	1	+	+	CCONJ
ejpam-1243	117	2	1	1	NUM
ejpam-1243	117	3	r	r	NOUN
ejpam-1243	117	4	dθ	dθ	PROPN
ejpam-1243	117	5	dr	dr	PROPN
ejpam-1243	117	6	=	=	PROPN
ejpam-1243	117	7	c	c	PROPN
ejpam-1243	117	8	�	�	PROPN
ejpam-1243	117	9	θ+	θ+	ADP
ejpam-1243	118	1	ε	ε	PROPN
ejpam-1243	118	2	�	�	PROPN
ejpam-1243	118	3	du	du	PROPN
ejpam-1243	118	4	dr	dr	PROPN
ejpam-1243	118	5	+	+	PROPN
ejpam-1243	118	6	u	u	PROPN
ejpam-1243	118	7	r	r	NOUN
ejpam-1243	118	8	�	�	PROPN
ejpam-1243	118	9	�	�	PROPN
ejpam-1243	118	10	(	(	PUNCT
ejpam-1243	118	11	13	13	NUM
ejpam-1243	118	12	)	)	PUNCT
ejpam-1243	118	13	and	and	CCONJ
ejpam-1243	118	14	d2u	d2u	ADV
ejpam-1243	118	15	dr2	dr2	PROPN
ejpam-1243	119	1	+	+	CCONJ
ejpam-1243	119	2	1	1	NUM
ejpam-1243	119	3	r	r	NOUN
ejpam-1243	119	4	du	du	PROPN
ejpam-1243	119	5	dr	dr	PROPN
ejpam-1243	119	6	−	−	PROPN
ejpam-1243	119	7	u	u	PROPN
ejpam-1243	119	8	r2	r2	PROPN
ejpam-1243	119	9	=	=	SYM
ejpam-1243	119	10	p2u	p2u	PROPN
ejpam-1243	120	1	+	+	CCONJ
ejpam-1243	120	2	dθ	dθ	PROPN
ejpam-1243	120	3	dr	dr	PROPN
ejpam-1243	120	4	,	,	PUNCT
ejpam-1243	120	5	(	(	PUNCT
ejpam-1243	120	6	14	14	NUM
ejpam-1243	120	7	)	)	PUNCT
ejpam-1243	120	8	where	where	SCONJ
ejpam-1243	120	9	c	c	NOUN
ejpam-1243	120	10	=	=	SYM
ejpam-1243	120	11	p2	p2	PROPN
ejpam-1243	120	12	�	�	PROPN
ejpam-1243	120	13	1+τ′qp+	1+τ′qp+	NUM
ejpam-1243	120	14	1	1	NUM
ejpam-1243	120	15	2	2	NUM
ejpam-1243	120	16	τ	τ	X
ejpam-1243	120	17	′2	′2	NOUN
ejpam-1243	120	18	q	q	PROPN
ejpam-1243	120	19	p2	p2	X
ejpam-1243	120	20	�	�	PROPN
ejpam-1243	120	21	(	(	PUNCT
ejpam-1243	120	22	1+τ′ν	1+τ′ν	NUM
ejpam-1243	120	23	p)c2	p)c2	PROPN
ejpam-1243	120	24	t	t	PROPN
ejpam-1243	120	25	+	+	CCONJ
ejpam-1243	120	26	p(1+τ′t	p(1+τ′t	VERB
ejpam-1243	120	27	p)c2	p)c2	PROPN
ejpam-1243	120	28	k	k	PROPN
ejpam-1243	120	29	.	.	PUNCT
ejpam-1243	121	1	(	(	PUNCT
ejpam-1243	121	2	15	15	NUM
ejpam-1243	121	3	)	)	PUNCT
ejpam-1243	121	4	3.1	3.1	NUM
ejpam-1243	121	5	.	.	PUNCT
ejpam-1243	122	1	eigen	eigen	NOUN
ejpam-1243	122	2	-	-	PUNCT
ejpam-1243	122	3	value	value	NOUN
ejpam-1243	122	4	approach	approach	NOUN
ejpam-1243	122	5	differentiating	differentiate	VERB
ejpam-1243	122	6	equation	equation	NOUN
ejpam-1243	122	7	(	(	PUNCT
ejpam-1243	122	8	13	13	NUM
ejpam-1243	122	9	)	)	PUNCT
ejpam-1243	122	10	with	with	ADP
ejpam-1243	122	11	respect	respect	NOUN
ejpam-1243	122	12	to	to	ADP
ejpam-1243	122	13	r	r	NOUN
ejpam-1243	122	14	and	and	CCONJ
ejpam-1243	122	15	using	use	VERB
ejpam-1243	122	16	equation	equation	NOUN
ejpam-1243	122	17	(	(	PUNCT
ejpam-1243	122	18	14	14	NUM
ejpam-1243	122	19	)	)	PUNCT
ejpam-1243	122	20	we	we	PRON
ejpam-1243	122	21	get	get	VERB
ejpam-1243	122	22	d2	d2	PROPN
ejpam-1243	122	23	dr2	dr2	PROPN
ejpam-1243	122	24	�	�	PROPN
ejpam-1243	122	25	dθ	dθ	PROPN
ejpam-1243	122	26	dr	dr	PROPN
ejpam-1243	122	27	�	�	PROPN
ejpam-1243	122	28	+	+	CCONJ
ejpam-1243	123	1	1	1	NUM
ejpam-1243	123	2	r	r	NOUN
ejpam-1243	123	3	d	d	PROPN
ejpam-1243	123	4	dr	dr	PROPN
ejpam-1243	123	5	�	�	PROPN
ejpam-1243	123	6	dθ	dθ	PROPN
ejpam-1243	123	7	dr	dr	PROPN
ejpam-1243	123	8	�	�	PROPN
ejpam-1243	123	9	−	−	PROPN
ejpam-1243	123	10	1	1	NUM
ejpam-1243	123	11	r2	r2	PROPN
ejpam-1243	123	12	�	�	PROPN
ejpam-1243	123	13	dθ	dθ	PROPN
ejpam-1243	123	14	dr	dr	PROPN
ejpam-1243	123	15	�	�	PROPN
ejpam-1243	123	16	=	=	PUNCT
ejpam-1243	123	17	c	c	PROPN
ejpam-1243	123	18	�	�	PROPN
ejpam-1243	123	19	εp2u	εp2u	PROPN
ejpam-1243	123	20	+	+	CCONJ
ejpam-1243	123	21	(	(	PUNCT
ejpam-1243	123	22	1	1	NUM
ejpam-1243	123	23	+	+	NUM
ejpam-1243	123	24	ε	ε	PROPN
ejpam-1243	123	25	)	)	PUNCT
ejpam-1243	123	26	dθ	dθ	PROPN
ejpam-1243	123	27	dr	dr	PROPN
ejpam-1243	123	28	�	�	PROPN
ejpam-1243	123	29	.	.	PUNCT
ejpam-1243	124	1	(	(	PUNCT
ejpam-1243	124	2	16	16	NUM
ejpam-1243	124	3	)	)	PUNCT
ejpam-1243	124	4	from	from	ADP
ejpam-1243	124	5	equations	equation	NOUN
ejpam-1243	124	6	(	(	PUNCT
ejpam-1243	124	7	14	14	NUM
ejpam-1243	124	8	)	)	PUNCT
ejpam-1243	124	9	and	and	CCONJ
ejpam-1243	124	10	(	(	PUNCT
ejpam-1243	124	11	16	16	NUM
ejpam-1243	124	12	)	)	PUNCT
ejpam-1243	124	13	we	we	PRON
ejpam-1243	124	14	have	have	VERB
ejpam-1243	124	15	the	the	DET
ejpam-1243	124	16	vector	vector	ADJ
ejpam-1243	124	17	-	-	PUNCT
ejpam-1243	124	18	matrix	matrix	NOUN
ejpam-1243	124	19	differential	differential	NOUN
ejpam-1243	124	20	equation	equation	NOUN
ejpam-1243	124	21	as	as	SCONJ
ejpam-1243	124	22	follows	follow	VERB
ejpam-1243	124	23	lev	lev	NOUN
ejpam-1243	124	24	=	=	SYM
ejpam-1243	124	25	eaev	eaev	PROPN
ejpam-1243	124	26	,	,	PUNCT
ejpam-1243	124	27	(	(	PUNCT
ejpam-1243	124	28	17	17	NUM
ejpam-1243	124	29	)	)	PUNCT
ejpam-1243	124	30	where	where	SCONJ
ejpam-1243	124	31	l	l	PROPN
ejpam-1243	124	32	≡	≡	PROPN
ejpam-1243	124	33	d2	d2	PROPN
ejpam-1243	124	34	dr2	dr2	PROPN
ejpam-1243	125	1	+	+	CCONJ
ejpam-1243	125	2	1	1	NUM
ejpam-1243	125	3	r	r	NOUN
ejpam-1243	125	4	d	d	PROPN
ejpam-1243	125	5	dr	dr	PROPN
ejpam-1243	125	6	−	−	PROPN
ejpam-1243	125	7	1	1	NUM
ejpam-1243	125	8	r2	r2	NOUN
ejpam-1243	125	9	,	,	PUNCT
ejpam-1243	125	10	(	(	PUNCT
ejpam-1243	125	11	18	18	NUM
ejpam-1243	125	12	)	)	PUNCT
ejpam-1243	125	13	and	and	CCONJ
ejpam-1243	125	14	ev	ev	X
ejpam-1243	125	15	=	=	SYM
ejpam-1243	125	16	�	�	PROPN
ejpam-1243	125	17	u	u	PROPN
ejpam-1243	125	18	,	,	PUNCT
ejpam-1243	125	19	dθ	dθ	PROPN
ejpam-1243	125	20	dr	dr	PROPN
ejpam-1243	125	21	�	�	PROPN
ejpam-1243	125	22	t	t	PROPN
ejpam-1243	125	23	,	,	PUNCT
ejpam-1243	125	24	ea=	ea=	PROPN
ejpam-1243	125	25	�	�	PROPN
ejpam-1243	125	26	d11	d11	PROPN
ejpam-1243	125	27	d12	d12	PROPN
ejpam-1243	125	28	d21	d21	PROPN
ejpam-1243	125	29	d22	d22	PROPN
ejpam-1243	125	30	�	�	PROPN
ejpam-1243	125	31	,	,	PUNCT
ejpam-1243	125	32	(	(	PUNCT
ejpam-1243	125	33	19	19	NUM
ejpam-1243	125	34	)	)	PUNCT
ejpam-1243	125	35	d11	d11	NOUN
ejpam-1243	125	36	=	=	SYM
ejpam-1243	125	37	p2	p2	PROPN
ejpam-1243	125	38	,	,	PUNCT
ejpam-1243	125	39	d12	d12	NOUN
ejpam-1243	125	40	=	=	SYM
ejpam-1243	125	41	1	1	NUM
ejpam-1243	125	42	,	,	PUNCT
ejpam-1243	125	43	d21	d21	NOUN
ejpam-1243	125	44	=	=	SYM
ejpam-1243	125	45	cεp2	cεp2	PROPN
ejpam-1243	125	46	and	and	CCONJ
ejpam-1243	125	47	d22	d22	PROPN
ejpam-1243	126	1	=	=	SYM
ejpam-1243	126	2	c(1	c(1	PROPN
ejpam-1243	126	3	+	+	NOUN
ejpam-1243	126	4	ε	ε	PROPN
ejpam-1243	126	5	)	)	PUNCT
ejpam-1243	126	6	.	.	PUNCT
ejpam-1243	127	1	to	to	PART
ejpam-1243	127	2	solve	solve	VERB
ejpam-1243	127	3	the	the	DET
ejpam-1243	127	4	vector	vector	NOUN
ejpam-1243	127	5	matrix	matrix	NOUN
ejpam-1243	127	6	differential	differential	NOUN
ejpam-1243	127	7	equation	equation	NOUN
ejpam-1243	127	8	(	(	PUNCT
ejpam-1243	127	9	17	17	NUM
ejpam-1243	127	10	)	)	PUNCT
ejpam-1243	127	11	we	we	PRON
ejpam-1243	127	12	assume	assume	VERB
ejpam-1243	127	13	that	that	SCONJ
ejpam-1243	127	14	ev	ev	VERB
ejpam-1243	127	15	=	=	SYM
ejpam-1243	127	16	ex	ex	X
ejpam-1243	127	17	(	(	PUNCT
ejpam-1243	127	18	m)ω(r	m)ω(r	NOUN
ejpam-1243	127	19	,	,	PUNCT
ejpam-1243	127	20	m	m	PROPN
ejpam-1243	127	21	)	)	PUNCT
ejpam-1243	127	22	,	,	PUNCT
ejpam-1243	127	23	(	(	PUNCT
ejpam-1243	127	24	20	20	NUM
ejpam-1243	127	25	)	)	PUNCT
ejpam-1243	127	26	where	where	SCONJ
ejpam-1243	127	27	m	m	NOUN
ejpam-1243	127	28	is	be	AUX
ejpam-1243	127	29	a	a	DET
ejpam-1243	127	30	scalar	scalar	ADJ
ejpam-1243	127	31	,	,	PUNCT
ejpam-1243	127	32	ex	ex	X
ejpam-1243	127	33	is	be	AUX
ejpam-1243	127	34	a	a	DET
ejpam-1243	127	35	vector	vector	NOUN
ejpam-1243	127	36	independent	independent	NOUN
ejpam-1243	127	37	of	of	ADP
ejpam-1243	127	38	r	r	NOUN
ejpam-1243	127	39	and	and	CCONJ
ejpam-1243	127	40	ω(r	ω(r	PROPN
ejpam-1243	127	41	,	,	PUNCT
ejpam-1243	127	42	m	m	PROPN
ejpam-1243	127	43	)	)	PUNCT
ejpam-1243	127	44	is	be	AUX
ejpam-1243	127	45	a	a	DET
ejpam-1243	127	46	non	non	ADJ
ejpam-1243	127	47	-	-	ADJ
ejpam-1243	127	48	trivial	trivial	ADJ
ejpam-1243	127	49	solution	solution	NOUN
ejpam-1243	127	50	of	of	ADP
ejpam-1243	127	51	the	the	DET
ejpam-1243	127	52	scalar	scalar	ADJ
ejpam-1243	127	53	differential	differential	ADJ
ejpam-1243	127	54	equation	equation	NOUN
ejpam-1243	127	55	lω	lω	VERB
ejpam-1243	127	56	=	=	SYM
ejpam-1243	127	57	m2ω	m2ω	PROPN
ejpam-1243	127	58	.	.	PUNCT
ejpam-1243	128	1	(	(	PUNCT
ejpam-1243	128	2	21	21	NUM
ejpam-1243	128	3	)	)	PUNCT
ejpam-1243	128	4	a.	a.	NOUN
ejpam-1243	128	5	kar	kar	PROPN
ejpam-1243	128	6	,	,	PUNCT
ejpam-1243	128	7	m.	m.	NOUN
ejpam-1243	128	8	kanoria	kanoria	PROPN
ejpam-1243	128	9	/	/	SYM
ejpam-1243	128	10	eur	eur	PROPN
ejpam-1243	128	11	.	.	PUNCT
ejpam-1243	129	1	j.	j.	PROPN
ejpam-1243	129	2	pure	pure	PROPN
ejpam-1243	129	3	appl	appl	PROPN
ejpam-1243	129	4	.	.	PROPN
ejpam-1243	129	5	math	math	PROPN
ejpam-1243	129	6	,	,	PUNCT
ejpam-1243	129	7	4	4	NUM
ejpam-1243	129	8	(	(	PUNCT
ejpam-1243	129	9	2011	2011	NUM
ejpam-1243	129	10	)	)	PUNCT
ejpam-1243	129	11	,	,	PUNCT
ejpam-1243	129	12	304	304	NUM
ejpam-1243	129	13	-	-	SYM
ejpam-1243	129	14	321	321	NUM
ejpam-1243	129	15	310	310	NUM
ejpam-1243	129	16	the	the	DET
ejpam-1243	129	17	solution	solution	NOUN
ejpam-1243	129	18	of	of	ADP
ejpam-1243	129	19	the	the	DET
ejpam-1243	129	20	equation	equation	NOUN
ejpam-1243	129	21	(	(	PUNCT
ejpam-1243	129	22	21	21	NUM
ejpam-1243	129	23	)	)	PUNCT
ejpam-1243	129	24	is	be	AUX
ejpam-1243	129	25	ω	ω	NOUN
ejpam-1243	129	26	=	=	PUNCT
ejpam-1243	130	1	[	[	X
ejpam-1243	130	2	a1	a1	NOUN
ejpam-1243	130	3	i1(mr	i1(mr	PROPN
ejpam-1243	130	4	)	)	PUNCT
ejpam-1243	131	1	+	+	ADJ
ejpam-1243	131	2	a2k1(mr	a2k1(mr	NOUN
ejpam-1243	131	3	)	)	PUNCT
ejpam-1243	131	4	]	]	PUNCT
ejpam-1243	131	5	.	.	PUNCT
ejpam-1243	132	1	(	(	PUNCT
ejpam-1243	132	2	22	22	X
ejpam-1243	132	3	)	)	PUNCT
ejpam-1243	132	4	substituting	substitute	VERB
ejpam-1243	132	5	equations	equation	NOUN
ejpam-1243	132	6	(	(	PUNCT
ejpam-1243	132	7	20	20	NUM
ejpam-1243	132	8	)	)	PUNCT
ejpam-1243	132	9	and	and	CCONJ
ejpam-1243	132	10	(	(	PUNCT
ejpam-1243	132	11	21	21	NUM
ejpam-1243	132	12	)	)	PUNCT
ejpam-1243	132	13	into	into	ADP
ejpam-1243	132	14	the	the	DET
ejpam-1243	132	15	equation	equation	NOUN
ejpam-1243	132	16	(	(	PUNCT
ejpam-1243	132	17	17	17	NUM
ejpam-1243	132	18	)	)	PUNCT
ejpam-1243	132	19	we	we	PRON
ejpam-1243	132	20	get	get	VERB
ejpam-1243	132	21	eaex	eaex	PROPN
ejpam-1243	132	22	=	=	PROPN
ejpam-1243	132	23	m2	m2	PROPN
ejpam-1243	132	24	ex	ex	PROPN
ejpam-1243	132	25	,	,	PUNCT
ejpam-1243	132	26	(	(	PUNCT
ejpam-1243	132	27	23	23	NUM
ejpam-1243	132	28	)	)	PUNCT
ejpam-1243	132	29	where	where	SCONJ
ejpam-1243	132	30	ex	ex	X
ejpam-1243	132	31	(	(	PUNCT
ejpam-1243	132	32	m	m	NOUN
ejpam-1243	132	33	)	)	PUNCT
ejpam-1243	132	34	is	be	AUX
ejpam-1243	132	35	the	the	DET
ejpam-1243	132	36	eigenvector	eigenvector	NOUN
ejpam-1243	132	37	corresponding	correspond	VERB
ejpam-1243	132	38	to	to	ADP
ejpam-1243	132	39	the	the	DET
ejpam-1243	132	40	eigenvalue	eigenvalue	PROPN
ejpam-1243	132	41	m2	m2	PROPN
ejpam-1243	132	42	.	.	PUNCT
ejpam-1243	133	1	the	the	DET
ejpam-1243	133	2	characteristic	characteristic	ADJ
ejpam-1243	133	3	equation	equation	NOUN
ejpam-1243	133	4	corresponding	correspond	VERB
ejpam-1243	133	5	to	to	ADP
ejpam-1243	133	6	ea	ea	PROPN
ejpam-1243	133	7	can	can	AUX
ejpam-1243	133	8	be	be	AUX
ejpam-1243	133	9	written	write	VERB
ejpam-1243	133	10	as	as	ADP
ejpam-1243	133	11	m4	m4	PROPN
ejpam-1243	133	12	−	−	PROPN
ejpam-1243	133	13	(	(	PUNCT
ejpam-1243	133	14	d11	d11	PROPN
ejpam-1243	133	15	+	+	CCONJ
ejpam-1243	133	16	d22)m	d22)m	PROPN
ejpam-1243	133	17	2	2	NUM
ejpam-1243	133	18	+	+	CCONJ
ejpam-1243	133	19	(	(	PUNCT
ejpam-1243	133	20	d11d22	d11d22	NOUN
ejpam-1243	133	21	−	−	PROPN
ejpam-1243	133	22	d12d21	d12d21	PROPN
ejpam-1243	133	23	)	)	PUNCT
ejpam-1243	133	24	=	=	SYM
ejpam-1243	134	1	0	0	X
ejpam-1243	134	2	.	.	PUNCT
ejpam-1243	135	1	(	(	PUNCT
ejpam-1243	135	2	24	24	NUM
ejpam-1243	135	3	)	)	PUNCT
ejpam-1243	135	4	the	the	DET
ejpam-1243	135	5	roots	root	NOUN
ejpam-1243	135	6	of	of	ADP
ejpam-1243	135	7	the	the	DET
ejpam-1243	135	8	characteristic	characteristic	ADJ
ejpam-1243	135	9	equation	equation	NOUN
ejpam-1243	135	10	(	(	PUNCT
ejpam-1243	135	11	24	24	NUM
ejpam-1243	135	12	)	)	PUNCT
ejpam-1243	135	13	are	be	AUX
ejpam-1243	135	14	of	of	ADP
ejpam-1243	135	15	the	the	DET
ejpam-1243	135	16	form	form	NOUN
ejpam-1243	135	17	m2	m2	PROPN
ejpam-1243	135	18	=	=	PROPN
ejpam-1243	135	19	m2	m2	PROPN
ejpam-1243	135	20	1	1	NUM
ejpam-1243	135	21	and	and	CCONJ
ejpam-1243	135	22	m2	m2	PROPN
ejpam-1243	135	23	=	=	PROPN
ejpam-1243	135	24	m2	m2	PROPN
ejpam-1243	135	25	2	2	NUM
ejpam-1243	135	26	,	,	PUNCT
ejpam-1243	135	27	where	where	SCONJ
ejpam-1243	135	28	m2	m2	PROPN
ejpam-1243	135	29	1	1	NUM
ejpam-1243	135	30	+	+	NOUN
ejpam-1243	135	31	m2	m2	PROPN
ejpam-1243	135	32	2	2	NUM
ejpam-1243	135	33	=	=	SYM
ejpam-1243	135	34	d11	d11	PROPN
ejpam-1243	135	35	+	+	CCONJ
ejpam-1243	135	36	d22	d22	PROPN
ejpam-1243	135	37	,	,	PUNCT
ejpam-1243	135	38	m2	m2	PROPN
ejpam-1243	135	39	1m2	1m2	NUM
ejpam-1243	135	40	2	2	NUM
ejpam-1243	135	41	=	=	NOUN
ejpam-1243	135	42	d11d22	d11d22	NOUN
ejpam-1243	135	43	−	−	PROPN
ejpam-1243	135	44	d12d21	d12d21	PROPN
ejpam-1243	135	45	.	.	PUNCT
ejpam-1243	136	1	(	(	PUNCT
ejpam-1243	136	2	25	25	NUM
ejpam-1243	136	3	)	)	PUNCT
ejpam-1243	136	4	the	the	DET
ejpam-1243	136	5	eigenvectors	eigenvector	NOUN
ejpam-1243	136	6	x	x	SYM
ejpam-1243	136	7	(	(	PUNCT
ejpam-1243	136	8	m	m	PROPN
ejpam-1243	136	9	j	j	NOUN
ejpam-1243	136	10	)	)	PUNCT
ejpam-1243	136	11	,	,	PUNCT
ejpam-1243	136	12	j	j	X
ejpam-1243	137	1	=	=	SYM
ejpam-1243	137	2	1,2	1,2	NUM
ejpam-1243	137	3	corresponding	correspond	VERB
ejpam-1243	137	4	to	to	AUX
ejpam-1243	137	5	eigenvalues	eigenvalue	VERB
ejpam-1243	137	6	m2	m2	PROPN
ejpam-1243	137	7	j	j	PROPN
ejpam-1243	137	8	,	,	PUNCT
ejpam-1243	137	9	j	j	PROPN
ejpam-1243	137	10	=	=	SYM
ejpam-1243	137	11	1,2	1,2	NUM
ejpam-1243	137	12	can	can	AUX
ejpam-1243	137	13	be	be	AUX
ejpam-1243	137	14	calculated	calculate	VERB
ejpam-1243	137	15	as	as	ADP
ejpam-1243	137	16	ex	ex	ADJ
ejpam-1243	137	17	(	(	PUNCT
ejpam-1243	137	18	m	m	PROPN
ejpam-1243	137	19	j	j	NOUN
ejpam-1243	137	20	)	)	PUNCT
ejpam-1243	137	21	=	=	SYM
ejpam-1243	137	22	�	�	PROPN
ejpam-1243	137	23	x1(m	x1(m	PROPN
ejpam-1243	137	24	j	j	PROPN
ejpam-1243	137	25	)	)	PUNCT
ejpam-1243	137	26	x2(m	x2(m	PROPN
ejpam-1243	138	1	j	j	PROPN
ejpam-1243	138	2	)	)	PUNCT
ejpam-1243	138	3	�	�	PROPN
ejpam-1243	138	4	=	=	SYM
ejpam-1243	138	5	�	�	PROPN
ejpam-1243	138	6	d12	d12	PROPN
ejpam-1243	138	7	−(d11	−(d11	PROPN
ejpam-1243	138	8	−m2	−m2	PROPN
ejpam-1243	138	9	j	j	PROPN
ejpam-1243	138	10	)	)	PUNCT
ejpam-1243	138	11	�	�	PROPN
ejpam-1243	138	12	,	,	PUNCT
ejpam-1243	138	13	j	j	PROPN
ejpam-1243	138	14	=	=	SYM
ejpam-1243	138	15	1,2	1,2	NUM
ejpam-1243	138	16	.	.	PUNCT
ejpam-1243	139	1	(	(	PUNCT
ejpam-1243	139	2	26	26	NUM
ejpam-1243	139	3	)	)	PUNCT
ejpam-1243	139	4	therefore	therefore	ADV
ejpam-1243	139	5	,	,	PUNCT
ejpam-1243	139	6	the	the	DET
ejpam-1243	139	7	equation	equation	NOUN
ejpam-1243	139	8	(	(	PUNCT
ejpam-1243	139	9	20	20	NUM
ejpam-1243	139	10	)	)	PUNCT
ejpam-1243	139	11	can	can	AUX
ejpam-1243	139	12	be	be	AUX
ejpam-1243	139	13	written	write	VERB
ejpam-1243	139	14	as	as	ADP
ejpam-1243	139	15	ev	ev	PROPN
ejpam-1243	139	16	=	=	SYM
ejpam-1243	139	17	ex	ex	X
ejpam-1243	139	18	(	(	PUNCT
ejpam-1243	139	19	m	m	PROPN
ejpam-1243	139	20	j)[a1	j)[a1	PROPN
ejpam-1243	139	21	i1(m1r)+	i1(m1r)+	X
ejpam-1243	139	22	b1k1(m1r	b1k1(m1r	NOUN
ejpam-1243	139	23	)	)	PUNCT
ejpam-1243	139	24	]	]	PUNCT
ejpam-1243	140	1	+	+	CCONJ
ejpam-1243	140	2	ex	ex	ADJ
ejpam-1243	140	3	(	(	PUNCT
ejpam-1243	140	4	m	m	PROPN
ejpam-1243	140	5	j)[a1i1(m2r)+	j)[a1i1(m2r)+	PROPN
ejpam-1243	140	6	b1k1(m2r	b1k1(m2r	NOUN
ejpam-1243	140	7	)	)	PUNCT
ejpam-1243	140	8	]	]	PUNCT
ejpam-1243	140	9	,	,	PUNCT
ejpam-1243	140	10	j	j	PROPN
ejpam-1243	140	11	=	=	SYM
ejpam-1243	140	12	1,2	1,2	NUM
ejpam-1243	140	13	.	.	PUNCT
ejpam-1243	140	14	(	(	PUNCT
ejpam-1243	140	15	27	27	NUM
ejpam-1243	140	16	)	)	PUNCT
ejpam-1243	140	17	therefore	therefore	ADV
ejpam-1243	140	18	,	,	PUNCT
ejpam-1243	140	19	from	from	ADP
ejpam-1243	140	20	the	the	DET
ejpam-1243	140	21	equations	equation	NOUN
ejpam-1243	140	22	in	in	ADP
ejpam-1243	140	23	(	(	PUNCT
ejpam-1243	140	24	19	19	NUM
ejpam-1243	140	25	)	)	PUNCT
ejpam-1243	140	26	we	we	PRON
ejpam-1243	140	27	can	can	AUX
ejpam-1243	140	28	write	write	VERB
ejpam-1243	140	29	u	u	NOUN
ejpam-1243	140	30	=	=	PUNCT
ejpam-1243	140	31	∑	∑	PUNCT
ejpam-1243	140	32	i=1,2	i=1,2	PROPN
ejpam-1243	140	33	[	[	X
ejpam-1243	140	34	ai	ai	INTJ
ejpam-1243	140	35	i1(mir	i1(mir	PROPN
ejpam-1243	140	36	)	)	PUNCT
ejpam-1243	140	37	+	+	NOUN
ejpam-1243	140	38	bik1(mir	bik1(mir	NOUN
ejpam-1243	140	39	)	)	PUNCT
ejpam-1243	140	40	]	]	PUNCT
ejpam-1243	141	1	(	(	PUNCT
ejpam-1243	141	2	28	28	NUM
ejpam-1243	141	3	)	)	PUNCT
ejpam-1243	141	4	and	and	CCONJ
ejpam-1243	141	5	dθ	dθ	PROPN
ejpam-1243	141	6	dr	dr	PROPN
ejpam-1243	141	7	=	=	PROPN
ejpam-1243	141	8	−	−	PROPN
ejpam-1243	141	9	∑	∑	PUNCT
ejpam-1243	141	10	i=1,2	i=1,2	ADJ
ejpam-1243	141	11	(	(	PUNCT
ejpam-1243	141	12	p2	p2	PROPN
ejpam-1243	141	13	−m2	−m2	NOUN
ejpam-1243	141	14	i	i	PRON
ejpam-1243	141	15	)	)	PUNCT
ejpam-1243	142	1	[	[	X
ejpam-1243	142	2	ai	ai	VERB
ejpam-1243	142	3	i1(mir	i1(mir	PROPN
ejpam-1243	142	4	)	)	PUNCT
ejpam-1243	142	5	+	+	NOUN
ejpam-1243	142	6	bik1(mir	bik1(mir	NOUN
ejpam-1243	142	7	)	)	PUNCT
ejpam-1243	142	8	]	]	PUNCT
ejpam-1243	142	9	,	,	PUNCT
ejpam-1243	142	10	(	(	PUNCT
ejpam-1243	142	11	29	29	NUM
ejpam-1243	142	12	)	)	PUNCT
ejpam-1243	142	13	where	where	SCONJ
ejpam-1243	142	14	i1(mir	i1(mir	NOUN
ejpam-1243	142	15	)	)	PUNCT
ejpam-1243	142	16	and	and	CCONJ
ejpam-1243	142	17	k1(mir	k1(mir	NOUN
ejpam-1243	142	18	)	)	PUNCT
ejpam-1243	142	19	are	be	AUX
ejpam-1243	142	20	the	the	DET
ejpam-1243	142	21	modified	modify	VERB
ejpam-1243	142	22	bessel	bessel	NOUN
ejpam-1243	142	23	functions	function	NOUN
ejpam-1243	142	24	of	of	ADP
ejpam-1243	142	25	order	order	NOUN
ejpam-1243	142	26	one	one	NUM
ejpam-1243	142	27	of	of	ADP
ejpam-1243	142	28	first	first	ADJ
ejpam-1243	142	29	and	and	CCONJ
ejpam-1243	142	30	second	second	ADJ
ejpam-1243	142	31	kind	kind	NOUN
ejpam-1243	142	32	respectively	respectively	ADV
ejpam-1243	142	33	.	.	PUNCT
ejpam-1243	143	1	ai	ai	VERB
ejpam-1243	143	2	and	and	CCONJ
ejpam-1243	143	3	bi	bi	PROPN
ejpam-1243	143	4	’s	’s	NOUN
ejpam-1243	143	5	i	i	NOUN
ejpam-1243	144	1	=	=	NOUN
ejpam-1243	144	2	1,2	1,2	NUM
ejpam-1243	144	3	are	be	AUX
ejpam-1243	144	4	independent	independent	ADJ
ejpam-1243	144	5	of	of	ADP
ejpam-1243	144	6	r	r	NOUN
ejpam-1243	144	7	but	but	CCONJ
ejpam-1243	144	8	depend	depend	VERB
ejpam-1243	144	9	on	on	ADP
ejpam-1243	144	10	p	p	NOUN
ejpam-1243	144	11	and	and	CCONJ
ejpam-1243	144	12	are	be	AUX
ejpam-1243	144	13	to	to	PART
ejpam-1243	144	14	be	be	AUX
ejpam-1243	144	15	determined	determine	VERB
ejpam-1243	144	16	from	from	ADP
ejpam-1243	144	17	the	the	DET
ejpam-1243	144	18	boundary	boundary	ADJ
ejpam-1243	144	19	conditions	condition	NOUN
ejpam-1243	144	20	.	.	PUNCT
ejpam-1243	145	1	using	use	VERB
ejpam-1243	145	2	the	the	DET
ejpam-1243	145	3	recurrence	recurrence	NOUN
ejpam-1243	145	4	relations	relation	NOUN
ejpam-1243	145	5	of	of	ADP
ejpam-1243	145	6	modified	modify	VERB
ejpam-1243	145	7	bessel	bessel	NOUN
ejpam-1243	145	8	functions	function	NOUN
ejpam-1243	145	9	[	[	X
ejpam-1243	145	10	34	34	NUM
ejpam-1243	145	11	]	]	X
ejpam-1243	145	12	we	we	PRON
ejpam-1243	145	13	obtain	obtain	VERB
ejpam-1243	145	14	from	from	ADP
ejpam-1243	145	15	the	the	DET
ejpam-1243	145	16	equation	equation	NOUN
ejpam-1243	145	17	(	(	PUNCT
ejpam-1243	145	18	29	29	NUM
ejpam-1243	145	19	)	)	PUNCT
ejpam-1243	145	20	θ	θ	NOUN
ejpam-1243	146	1	=	=	PUNCT
ejpam-1243	146	2	∑	∑	PUNCT
ejpam-1243	146	3	i=1,2	i=1,2	ADJ
ejpam-1243	146	4	(	(	PUNCT
ejpam-1243	146	5	p2	p2	PROPN
ejpam-1243	146	6	−m2	−m2	NOUN
ejpam-1243	146	7	i	i	PRON
ejpam-1243	146	8	)	)	PUNCT
ejpam-1243	146	9	mi	mi	PROPN
ejpam-1243	147	1	[	[	X
ejpam-1243	147	2	ai	ai	INTJ
ejpam-1243	147	3	i0(mir)+	i0(mir)+	PROPN
ejpam-1243	147	4	bik0(mir	bik0(mir	NOUN
ejpam-1243	147	5	)	)	PUNCT
ejpam-1243	147	6	]	]	PUNCT
ejpam-1243	147	7	,	,	PUNCT
ejpam-1243	147	8	(	(	PUNCT
ejpam-1243	147	9	30	30	NUM
ejpam-1243	147	10	)	)	PUNCT
ejpam-1243	147	11	since	since	SCONJ
ejpam-1243	147	12	p1(mr	p1(mr	VERB
ejpam-1243	147	13	)	)	PUNCT
ejpam-1243	147	14	=	=	SYM
ejpam-1243	148	1	−	−	PROPN
ejpam-1243	148	2	d	d	X
ejpam-1243	148	3	dr	dr	PROPN
ejpam-1243	148	4	�	�	PROPN
ejpam-1243	148	5	p0(mr	p0(mr	PROPN
ejpam-1243	148	6	)	)	PUNCT
ejpam-1243	148	7	m	m	VERB
ejpam-1243	148	8	�	�	NOUN
ejpam-1243	148	9	;	;	PUNCT
ejpam-1243	148	10	p	p	X
ejpam-1243	148	11	=	=	PUNCT
ejpam-1243	148	12	i	i	INTJ
ejpam-1243	148	13	,	,	PUNCT
ejpam-1243	148	14	k	k	PROPN
ejpam-1243	148	15	.	.	PUNCT
ejpam-1243	149	1	(	(	PUNCT
ejpam-1243	149	2	31	31	NUM
ejpam-1243	149	3	)	)	PUNCT
ejpam-1243	149	4	a.	a.	NOUN
ejpam-1243	149	5	kar	kar	PROPN
ejpam-1243	149	6	,	,	PUNCT
ejpam-1243	149	7	m.	m.	NOUN
ejpam-1243	149	8	kanoria	kanoria	PROPN
ejpam-1243	149	9	/	/	SYM
ejpam-1243	149	10	eur	eur	PROPN
ejpam-1243	149	11	.	.	PUNCT
ejpam-1243	150	1	j.	j.	PROPN
ejpam-1243	150	2	pure	pure	PROPN
ejpam-1243	150	3	appl	appl	PROPN
ejpam-1243	150	4	.	.	PROPN
ejpam-1243	150	5	math	math	PROPN
ejpam-1243	150	6	,	,	PUNCT
ejpam-1243	150	7	4	4	NUM
ejpam-1243	150	8	(	(	PUNCT
ejpam-1243	150	9	2011	2011	NUM
ejpam-1243	150	10	)	)	PUNCT
ejpam-1243	150	11	,	,	PUNCT
ejpam-1243	150	12	304	304	NUM
ejpam-1243	150	13	-	-	SYM
ejpam-1243	150	14	321	321	NUM
ejpam-1243	150	15	311	311	NUM
ejpam-1243	150	16	taking	take	VERB
ejpam-1243	150	17	the	the	DET
ejpam-1243	150	18	laplace	laplace	NOUN
ejpam-1243	150	19	transform	transform	NOUN
ejpam-1243	150	20	of	of	ADP
ejpam-1243	150	21	the	the	DET
ejpam-1243	150	22	equations	equation	NOUN
ejpam-1243	150	23	(	(	PUNCT
ejpam-1243	150	24	5	5	NUM
ejpam-1243	150	25	)	)	PUNCT
ejpam-1243	150	26	and	and	CCONJ
ejpam-1243	150	27	(	(	PUNCT
ejpam-1243	150	28	6	6	NUM
ejpam-1243	150	29	)	)	PUNCT
ejpam-1243	150	30	and	and	CCONJ
ejpam-1243	150	31	using	use	VERB
ejpam-1243	150	32	equations	equation	NOUN
ejpam-1243	150	33	(	(	PUNCT
ejpam-1243	150	34	28	28	NUM
ejpam-1243	150	35	)	)	PUNCT
ejpam-1243	150	36	and	and	CCONJ
ejpam-1243	150	37	(	(	PUNCT
ejpam-1243	150	38	30	30	X
ejpam-1243	150	39	)	)	PUNCT
ejpam-1243	150	40	we	we	PRON
ejpam-1243	150	41	get	get	VERB
ejpam-1243	150	42	σr	σr	ADP
ejpam-1243	150	43	=	=	SYM
ejpam-1243	150	44	−	−	PROPN
ejpam-1243	150	45	∑	∑	INTJ
ejpam-1243	150	46	i=1,2	i=1,2	ADJ
ejpam-1243	150	47	ai	ai	VERB
ejpam-1243	150	48	�	�	PROPN
ejpam-1243	150	49	1−	1−	NUM
ejpam-1243	150	50	c2	c2	PROPN
ejpam-1243	150	51	r	r	PROPN
ejpam-1243	150	52	i1(mir)+	i1(mir)+	PROPN
ejpam-1243	150	53	p2	p2	PROPN
ejpam-1243	150	54	mi	mi	PROPN
ejpam-1243	150	55	i0(mir	i0(mir	PROPN
ejpam-1243	150	56	)	)	PUNCT
ejpam-1243	150	57	�	�	PROPN
ejpam-1243	150	58	−	−	NOUN
ejpam-1243	150	59	∑	∑	PROPN
ejpam-1243	150	60	i=1,2	i=1,2	ADJ
ejpam-1243	150	61	bi	bi	ADJ
ejpam-1243	150	62	�	�	PROPN
ejpam-1243	150	63	1−	1−	NUM
ejpam-1243	150	64	c2	c2	PROPN
ejpam-1243	150	65	r	r	PROPN
ejpam-1243	150	66	k1(mir	k1(mir	PROPN
ejpam-1243	150	67	)	)	PUNCT
ejpam-1243	150	68	+	+	NUM
ejpam-1243	150	69	p2	p2	PROPN
ejpam-1243	150	70	mi	mi	PROPN
ejpam-1243	150	71	k0(mir	k0(mir	PROPN
ejpam-1243	150	72	)	)	PUNCT
ejpam-1243	150	73	�	�	PROPN
ejpam-1243	150	74	(	(	PUNCT
ejpam-1243	150	75	32	32	NUM
ejpam-1243	150	76	)	)	PUNCT
ejpam-1243	150	77	and	and	CCONJ
ejpam-1243	150	78	σθ	σθ	NOUN
ejpam-1243	150	79	=	=	PUNCT
ejpam-1243	150	80	∑	∑	INTJ
ejpam-1243	150	81	i=1,2	i=1,2	ADJ
ejpam-1243	150	82	ai	ai	VERB
ejpam-1243	150	83	�	�	PROPN
ejpam-1243	150	84	1−	1−	NUM
ejpam-1243	150	85	c2	c2	PROPN
ejpam-1243	150	86	r	r	NOUN
ejpam-1243	150	87	i1(mir	i1(mir	PROPN
ejpam-1243	150	88	)	)	PUNCT
ejpam-1243	151	1	+	+	NUM
ejpam-1243	151	2	¨	¨	X
ejpam-1243	151	3	(	(	PUNCT
ejpam-1243	151	4	1−	1−	NUM
ejpam-1243	151	5	c2)mi	c2)mi	PROPN
ejpam-1243	151	6	−	−	PROPN
ejpam-1243	151	7	p2	p2	PROPN
ejpam-1243	151	8	mi	mi	PROPN
ejpam-1243	151	9	«	«	PUNCT
ejpam-1243	151	10	i0(mir	i0(mir	PROPN
ejpam-1243	151	11	)	)	PUNCT
ejpam-1243	151	12	�	�	PROPN
ejpam-1243	152	1	+	+	CCONJ
ejpam-1243	152	2	∑	∑	PROPN
ejpam-1243	152	3	i=1,2	i=1,2	ADJ
ejpam-1243	152	4	bi	bi	ADJ
ejpam-1243	152	5	�	�	PROPN
ejpam-1243	152	6	1−	1−	NUM
ejpam-1243	152	7	c2	c2	PROPN
ejpam-1243	152	8	r	r	PROPN
ejpam-1243	152	9	k1(mir)+	k1(mir)+	PROPN
ejpam-1243	152	10	¨	¨	X
ejpam-1243	152	11	(	(	PUNCT
ejpam-1243	152	12	1−	1−	NUM
ejpam-1243	152	13	c2)mi	c2)mi	PROPN
ejpam-1243	152	14	−	−	PROPN
ejpam-1243	152	15	p2	p2	PROPN
ejpam-1243	152	16	mi	mi	PROPN
ejpam-1243	152	17	«	«	PUNCT
ejpam-1243	152	18	k0(mir	k0(mir	PROPN
ejpam-1243	152	19	)	)	PUNCT
ejpam-1243	152	20	�	�	PROPN
ejpam-1243	152	21	.	.	PUNCT
ejpam-1243	153	1	(	(	PUNCT
ejpam-1243	153	2	33	33	NUM
ejpam-1243	153	3	)	)	PUNCT
ejpam-1243	153	4	using	use	VERB
ejpam-1243	153	5	the	the	DET
ejpam-1243	153	6	boundary	boundary	ADJ
ejpam-1243	153	7	conditions	condition	NOUN
ejpam-1243	153	8	u	u	NOUN
ejpam-1243	153	9	=	=	SYM
ejpam-1243	153	10	0	0	PROPN
ejpam-1243	153	11	,	,	PUNCT
ejpam-1243	153	12	dθ	dθ	PROPN
ejpam-1243	153	13	dr	dr	PROPN
ejpam-1243	153	14	=	=	PROPN
ejpam-1243	153	15	−qin	−qin	ADV
ejpam-1243	153	16	on	on	ADP
ejpam-1243	153	17	r	r	NOUN
ejpam-1243	153	18	=	=	SYM
ejpam-1243	153	19	1	1	NUM
ejpam-1243	153	20	and	and	CCONJ
ejpam-1243	153	21	θ	θ	PROPN
ejpam-1243	153	22	=	=	SYM
ejpam-1243	153	23	0	0	NUM
ejpam-1243	153	24	,	,	PUNCT
ejpam-1243	153	25	σr	σr	NOUN
ejpam-1243	153	26	=	=	NOUN
ejpam-1243	153	27	0	0	NUM
ejpam-1243	153	28	on	on	ADP
ejpam-1243	153	29	r	r	NOUN
ejpam-1243	153	30	=	=	SYM
ejpam-1243	153	31	s	s	NOUN
ejpam-1243	153	32	and	and	CCONJ
ejpam-1243	153	33	using	use	VERB
ejpam-1243	153	34	the	the	DET
ejpam-1243	153	35	recurrence	recurrence	NOUN
ejpam-1243	153	36	relations	relation	NOUN
ejpam-1243	154	1	[	[	X
ejpam-1243	154	2	34	34	NUM
ejpam-1243	154	3	]	]	PUNCT
ejpam-1243	154	4	from	from	ADP
ejpam-1243	154	5	the	the	DET
ejpam-1243	154	6	equations	equation	NOUN
ejpam-1243	154	7	(	(	PUNCT
ejpam-1243	154	8	28	28	NUM
ejpam-1243	154	9	)	)	PUNCT
ejpam-1243	154	10	,	,	PUNCT
ejpam-1243	154	11	(	(	PUNCT
ejpam-1243	154	12	29	29	NUM
ejpam-1243	154	13	)	)	PUNCT
ejpam-1243	154	14	,	,	PUNCT
ejpam-1243	154	15	(	(	PUNCT
ejpam-1243	154	16	30	30	NUM
ejpam-1243	154	17	)	)	PUNCT
ejpam-1243	154	18	and	and	CCONJ
ejpam-1243	154	19	(	(	PUNCT
ejpam-1243	154	20	32	32	NUM
ejpam-1243	154	21	)	)	PUNCT
ejpam-1243	154	22	we	we	PRON
ejpam-1243	154	23	obtain	obtain	VERB
ejpam-1243	154	24			NOUN
ejpam-1243	154	25			ADJ
ejpam-1243	154	26	a1	a1	NOUN
ejpam-1243	154	27	a2	a2	PROPN
ejpam-1243	154	28	b1	b1	PROPN
ejpam-1243	154	29	b2	b2	PROPN
ejpam-1243	154	30			NOUN
ejpam-1243	154	31			PUNCT
ejpam-1243	155	1	=	=	PUNCT
ejpam-1243	155	2			PROPN
ejpam-1243	155	3			PROPN
ejpam-1243	155	4	w11	w11	PROPN
ejpam-1243	155	5	w12	w12	PROPN
ejpam-1243	155	6	w13	w13	PROPN
ejpam-1243	155	7	w14	w14	PROPN
ejpam-1243	155	8	w21	w21	PROPN
ejpam-1243	155	9	w22	w22	PROPN
ejpam-1243	155	10	w23	w23	VERB
ejpam-1243	155	11	w24	w24	PROPN
ejpam-1243	155	12	w31	w31	PROPN
ejpam-1243	155	13	w32	w32	PROPN
ejpam-1243	155	14	w33	w33	PROPN
ejpam-1243	155	15	w34	w34	PROPN
ejpam-1243	155	16	w41	w41	PROPN
ejpam-1243	155	17	w42	w42	PROPN
ejpam-1243	155	18	w43	w43	PROPN
ejpam-1243	155	19	w44	w44	PROPN
ejpam-1243	155	20			PROPN
ejpam-1243	156	1			NOUN
ejpam-1243	157	1	−1	−1	PUNCT
ejpam-1243	158	1			NOUN
ejpam-1243	158	2	0	0	NUM
ejpam-1243	158	3	−qin	−qin	NOUN
ejpam-1243	158	4	0	0	NUM
ejpam-1243	158	5	0	0	NUM
ejpam-1243	159	1			PROPN
ejpam-1243	159	2			NOUN
ejpam-1243	159	3	,	,	PUNCT
ejpam-1243	159	4	(	(	PUNCT
ejpam-1243	159	5	34	34	NUM
ejpam-1243	159	6	)	)	PUNCT
ejpam-1243	159	7	where	where	SCONJ
ejpam-1243	159	8	w1i	w1i	NOUN
ejpam-1243	159	9	=	=	SYM
ejpam-1243	159	10	p1(m	p1(m	PROPN
ejpam-1243	159	11	j	j	PROPN
ejpam-1243	159	12	)	)	PUNCT
ejpam-1243	159	13	,	,	PUNCT
ejpam-1243	159	14	w2i	w2i	NOUN
ejpam-1243	159	15	=	=	SYM
ejpam-1243	159	16	−(p2−m2	−(p2−m2	NOUN
ejpam-1243	159	17	j	j	X
ejpam-1243	159	18	)	)	PUNCT
ejpam-1243	159	19	p1(m	p1(m	PROPN
ejpam-1243	159	20	j	j	PROPN
ejpam-1243	159	21	)	)	PUNCT
ejpam-1243	159	22	,	,	PUNCT
ejpam-1243	159	23	(	(	PUNCT
ejpam-1243	159	24	35	35	NUM
ejpam-1243	159	25	)	)	PUNCT
ejpam-1243	159	26	w3i	w3i	NOUN
ejpam-1243	159	27	=	=	PUNCT
ejpam-1243	159	28	p2	p2	PROPN
ejpam-1243	159	29	−m2	−m2	NOUN
ejpam-1243	160	1	j	j	PROPN
ejpam-1243	160	2	m	m	NOUN
ejpam-1243	160	3	j	j	PROPN
ejpam-1243	160	4	p0(m	p0(m	NUM
ejpam-1243	160	5	js	js	PROPN
ejpam-1243	160	6	)	)	PUNCT
ejpam-1243	160	7	,	,	PUNCT
ejpam-1243	160	8	w4i	w4i	PROPN
ejpam-1243	160	9	=	=	SYM
ejpam-1243	160	10	1−	1−	NUM
ejpam-1243	160	11	c2	c2	PROPN
ejpam-1243	160	12	s	s	PART
ejpam-1243	160	13	p1(m	p1(m	PROPN
ejpam-1243	160	14	js	js	PROPN
ejpam-1243	160	15	)	)	PUNCT
ejpam-1243	160	16	+	+	CCONJ
ejpam-1243	160	17	p2	p2	PROPN
ejpam-1243	160	18	m	m	VERB
ejpam-1243	160	19	j	j	NOUN
ejpam-1243	160	20	p0(m	p0(m	NUM
ejpam-1243	160	21	js	js	PROPN
ejpam-1243	160	22	)	)	PUNCT
ejpam-1243	160	23	(	(	PUNCT
ejpam-1243	160	24	36	36	NUM
ejpam-1243	160	25	)	)	PUNCT
ejpam-1243	161	1	where	where	SCONJ
ejpam-1243	161	2	p	p	NOUN
ejpam-1243	161	3	=	=	PUNCT
ejpam-1243	161	4	i	i	PRON
ejpam-1243	161	5	for	for	ADP
ejpam-1243	161	6	i	i	PRON
ejpam-1243	161	7	=	=	SYM
ejpam-1243	161	8	j	j	PROPN
ejpam-1243	161	9	=	=	SYM
ejpam-1243	161	10	1,2	1,2	NUM
ejpam-1243	161	11	;	;	PUNCT
ejpam-1243	161	12	p	p	PROPN
ejpam-1243	161	13	=	=	PUNCT
ejpam-1243	161	14	k	k	PROPN
ejpam-1243	161	15	for	for	ADP
ejpam-1243	161	16	i	i	PRON
ejpam-1243	161	17	=	=	SYM
ejpam-1243	161	18	3	3	NUM
ejpam-1243	161	19	,	,	PUNCT
ejpam-1243	161	20	j	j	PROPN
ejpam-1243	161	21	=	=	SYM
ejpam-1243	161	22	1	1	NUM
ejpam-1243	161	23	and	and	CCONJ
ejpam-1243	161	24	i	i	PRON
ejpam-1243	161	25	=	=	NOUN
ejpam-1243	161	26	4	4	NUM
ejpam-1243	161	27	,	,	PUNCT
ejpam-1243	161	28	j	j	PROPN
ejpam-1243	161	29	=	=	SYM
ejpam-1243	161	30	2	2	NUM
ejpam-1243	161	31	.	.	NUM
ejpam-1243	161	32	from	from	ADP
ejpam-1243	161	33	the	the	DET
ejpam-1243	161	34	equation	equation	NOUN
ejpam-1243	161	35	(	(	PUNCT
ejpam-1243	161	36	24	24	NUM
ejpam-1243	161	37	)	)	PUNCT
ejpam-1243	161	38	we	we	PRON
ejpam-1243	161	39	obtain	obtain	VERB
ejpam-1243	161	40	m1	m1	NOUN
ejpam-1243	161	41	,	,	PUNCT
ejpam-1243	161	42	m2	m2	PROPN
ejpam-1243	161	43	=	=	PROPN
ejpam-1243	161	44	1	1	NUM
ejpam-1243	161	45	2	2	NUM
ejpam-1243	161	46	(	(	PUNCT
ejpam-1243	161	47	p	p	NOUN
ejpam-1243	161	48	α±pβ	α±pβ	PROPN
ejpam-1243	161	49	)	)	PUNCT
ejpam-1243	161	50	,	,	PUNCT
ejpam-1243	161	51	where	where	SCONJ
ejpam-1243	161	52	α	α	X
ejpam-1243	161	53	,	,	PUNCT
ejpam-1243	161	54	β	β	X
ejpam-1243	161	55	=	=	SYM
ejpam-1243	161	56	(	(	PUNCT
ejpam-1243	161	57	p±pc)2	p±pc)2	NOUN
ejpam-1243	161	58	+	+	CCONJ
ejpam-1243	161	59	cε	cε	VERB
ejpam-1243	161	60	.	.	PUNCT
ejpam-1243	162	1	(	(	PUNCT
ejpam-1243	162	2	37	37	NUM
ejpam-1243	162	3	)	)	PUNCT
ejpam-1243	162	4	therefore	therefore	ADV
ejpam-1243	162	5	,	,	PUNCT
ejpam-1243	162	6	m1	m1	PROPN
ejpam-1243	162	7	and	and	CCONJ
ejpam-1243	162	8	m2	m2	PROPN
ejpam-1243	162	9	are	be	AUX
ejpam-1243	162	10	real	real	ADJ
ejpam-1243	162	11	and	and	CCONJ
ejpam-1243	162	12	positive	positive	ADJ
ejpam-1243	162	13	quantities	quantity	NOUN
ejpam-1243	162	14	.	.	PUNCT
ejpam-1243	163	1	3.2	3.2	NUM
ejpam-1243	163	2	.	.	PUNCT
ejpam-1243	164	1	finite	finite	PROPN
ejpam-1243	164	2	element	element	NOUN
ejpam-1243	164	3	analysis	analysis	NOUN
ejpam-1243	164	4	in	in	ADP
ejpam-1243	164	5	the	the	DET
ejpam-1243	164	6	finite	finite	ADJ
ejpam-1243	164	7	element	element	NOUN
ejpam-1243	164	8	method	method	NOUN
ejpam-1243	165	1	,	,	PUNCT
ejpam-1243	165	2	total	total	ADJ
ejpam-1243	165	3	domain	domain	NOUN
ejpam-1243	165	4	is	be	AUX
ejpam-1243	165	5	divided	divide	VERB
ejpam-1243	165	6	into	into	ADP
ejpam-1243	165	7	a	a	DET
ejpam-1243	165	8	finite	finite	ADJ
ejpam-1243	165	9	set	set	NOUN
ejpam-1243	165	10	of	of	ADP
ejpam-1243	165	11	subintervals	subinterval	NOUN
ejpam-1243	165	12	,	,	PUNCT
ejpam-1243	165	13	i.e.	i.e.	X
ejpam-1243	165	14	line	line	NOUN
ejpam-1243	165	15	elements	element	NOUN
ejpam-1243	165	16	along	along	ADP
ejpam-1243	165	17	the	the	DET
ejpam-1243	165	18	radial	radial	ADJ
ejpam-1243	165	19	direction	direction	NOUN
ejpam-1243	165	20	of	of	ADP
ejpam-1243	165	21	the	the	DET
ejpam-1243	165	22	disc	disc	NOUN
ejpam-1243	165	23	.	.	PUNCT
ejpam-1243	166	1	the	the	DET
ejpam-1243	166	2	galerkin	galerkin	PROPN
ejpam-1243	166	3	finite	finite	PROPN
ejpam-1243	166	4	element	element	NOUN
ejpam-1243	166	5	method	method	NOUN
ejpam-1243	166	6	is	be	AUX
ejpam-1243	166	7	used	use	VERB
ejpam-1243	166	8	to	to	PART
ejpam-1243	166	9	derive	derive	VERB
ejpam-1243	166	10	the	the	DET
ejpam-1243	166	11	stiffness	stiffness	NOUN
ejpam-1243	166	12	and	and	CCONJ
ejpam-1243	166	13	force	force	NOUN
ejpam-1243	166	14	matrices	matrix	NOUN
ejpam-1243	166	15	for	for	ADP
ejpam-1243	166	16	the	the	DET
ejpam-1243	166	17	base	base	NOUN
ejpam-1243	166	18	element	element	NOUN
ejpam-1243	166	19	(	(	PUNCT
ejpam-1243	166	20	e	e	NOUN
ejpam-1243	166	21	)	)	PUNCT
ejpam-1243	166	22	.	.	PUNCT
ejpam-1243	167	1	for	for	ADP
ejpam-1243	167	2	any	any	DET
ejpam-1243	167	3	base	base	NOUN
ejpam-1243	167	4	element	element	NOUN
ejpam-1243	167	5	(	(	PUNCT
ejpam-1243	167	6	e	e	NOUN
ejpam-1243	167	7	)	)	PUNCT
ejpam-1243	167	8	the	the	DET
ejpam-1243	167	9	displacement	displacement	ADJ
ejpam-1243	167	10	u	u	NOUN
ejpam-1243	167	11	and	and	CCONJ
ejpam-1243	167	12	the	the	DET
ejpam-1243	167	13	temperature	temperature	NOUN
ejpam-1243	167	14	θ	θ	PROPN
ejpam-1243	167	15	can	can	AUX
ejpam-1243	167	16	be	be	AUX
ejpam-1243	167	17	approximated	approximate	VERB
ejpam-1243	167	18	as	as	ADP
ejpam-1243	167	19	u	u	NOUN
ejpam-1243	167	20	=	=	PROPN
ejpam-1243	168	1	[	[	X
ejpam-1243	168	2	n](e){u∗}(e	n](e){u∗}(e	PROPN
ejpam-1243	168	3	)	)	PUNCT
ejpam-1243	168	4	,	,	PUNCT
ejpam-1243	168	5	θ	θ	X
ejpam-1243	169	1	=	=	PUNCT
ejpam-1243	170	1	[	[	X
ejpam-1243	170	2	n](e){θ∗}(e	n](e){θ∗}(e	PROPN
ejpam-1243	170	3	)	)	PUNCT
ejpam-1243	170	4	,	,	PUNCT
ejpam-1243	170	5	(	(	PUNCT
ejpam-1243	170	6	38	38	NUM
ejpam-1243	170	7	)	)	PUNCT
ejpam-1243	170	8	a.	a.	NOUN
ejpam-1243	170	9	kar	kar	PROPN
ejpam-1243	170	10	,	,	PUNCT
ejpam-1243	170	11	m.	m.	NOUN
ejpam-1243	170	12	kanoria	kanoria	PROPN
ejpam-1243	170	13	/	/	SYM
ejpam-1243	170	14	eur	eur	PROPN
ejpam-1243	170	15	.	.	PUNCT
ejpam-1243	171	1	j.	j.	PROPN
ejpam-1243	171	2	pure	pure	PROPN
ejpam-1243	171	3	appl	appl	PROPN
ejpam-1243	171	4	.	.	PROPN
ejpam-1243	171	5	math	math	PROPN
ejpam-1243	171	6	,	,	PUNCT
ejpam-1243	171	7	4	4	NUM
ejpam-1243	171	8	(	(	PUNCT
ejpam-1243	171	9	2011	2011	NUM
ejpam-1243	171	10	)	)	PUNCT
ejpam-1243	171	11	,	,	PUNCT
ejpam-1243	171	12	304	304	NUM
ejpam-1243	171	13	-	-	SYM
ejpam-1243	171	14	321	321	NUM
ejpam-1243	171	15	312	312	NUM
ejpam-1243	171	16	where	where	SCONJ
ejpam-1243	171	17	[	[	X
ejpam-1243	171	18	n](e	n](e	VERB
ejpam-1243	171	19	)	)	PUNCT
ejpam-1243	171	20	is	be	AUX
ejpam-1243	171	21	the	the	DET
ejpam-1243	171	22	shape	shape	NOUN
ejpam-1243	171	23	function	function	NOUN
ejpam-1243	171	24	approximating	approximate	VERB
ejpam-1243	171	25	the	the	DET
ejpam-1243	171	26	displacement	displacement	ADJ
ejpam-1243	171	27	and	and	CCONJ
ejpam-1243	171	28	temperature	temperature	NOUN
ejpam-1243	171	29	fields	field	NOUN
ejpam-1243	171	30	in	in	ADP
ejpam-1243	171	31	the	the	DET
ejpam-1243	171	32	base	base	NOUN
ejpam-1243	171	33	element	element	NOUN
ejpam-1243	171	34	(	(	PUNCT
ejpam-1243	171	35	e	e	NOUN
ejpam-1243	171	36	)	)	PUNCT
ejpam-1243	171	37	.	.	PUNCT
ejpam-1243	172	1	the	the	DET
ejpam-1243	172	2	matrices	matrix	NOUN
ejpam-1243	172	3	{	{	PUNCT
ejpam-1243	172	4	u∗}(e	u∗}(e	PROPN
ejpam-1243	172	5	)	)	PUNCT
ejpam-1243	172	6	and	and	CCONJ
ejpam-1243	172	7	{	{	PUNCT
ejpam-1243	172	8	θ∗}(e	θ∗}(e	PROPN
ejpam-1243	172	9	)	)	PUNCT
ejpam-1243	172	10	represent	represent	VERB
ejpam-1243	172	11	the	the	DET
ejpam-1243	172	12	nodal	nodal	ADJ
ejpam-1243	172	13	values	value	NOUN
ejpam-1243	172	14	of	of	ADP
ejpam-1243	172	15	the	the	DET
ejpam-1243	172	16	displacement	displacement	NOUN
ejpam-1243	172	17	and	and	CCONJ
ejpam-1243	172	18	temperature	temperature	NOUN
ejpam-1243	172	19	respectively	respectively	ADV
ejpam-1243	172	20	.	.	PUNCT
ejpam-1243	173	1	using	use	VERB
ejpam-1243	173	2	the	the	DET
ejpam-1243	173	3	equation	equation	NOUN
ejpam-1243	173	4	(	(	PUNCT
ejpam-1243	173	5	38	38	NUM
ejpam-1243	173	6	)	)	PUNCT
ejpam-1243	173	7	and	and	CCONJ
ejpam-1243	173	8	the	the	DET
ejpam-1243	173	9	galerkin	galerkin	ADJ
ejpam-1243	173	10	finite	finite	PROPN
ejpam-1243	173	11	element	element	PROPN
ejpam-1243	173	12	method	method	NOUN
ejpam-1243	173	13	over	over	ADP
ejpam-1243	173	14	the	the	DET
ejpam-1243	173	15	volume	volume	NOUN
ejpam-1243	173	16	of	of	ADP
ejpam-1243	173	17	the	the	DET
ejpam-1243	173	18	base	base	NOUN
ejpam-1243	173	19	element	element	NOUN
ejpam-1243	173	20	v	v	NOUN
ejpam-1243	173	21	(	(	PUNCT
ejpam-1243	173	22	e	e	NOUN
ejpam-1243	173	23	)	)	PUNCT
ejpam-1243	173	24	,	,	PUNCT
ejpam-1243	173	25	equations	equation	NOUN
ejpam-1243	173	26	(	(	PUNCT
ejpam-1243	173	27	14	14	NUM
ejpam-1243	173	28	)	)	PUNCT
ejpam-1243	173	29	and	and	CCONJ
ejpam-1243	173	30	(	(	PUNCT
ejpam-1243	173	31	13	13	NUM
ejpam-1243	173	32	)	)	PUNCT
ejpam-1243	173	33	become	become	VERB
ejpam-1243	173	34	∫	∫	PROPN
ejpam-1243	173	35	v	v	PROPN
ejpam-1243	173	36	(	(	PUNCT
ejpam-1243	173	37	e	e	NOUN
ejpam-1243	173	38	)	)	PUNCT
ejpam-1243	173	39	�	�	PROPN
ejpam-1243	173	40	¨	¨	NOUN
ejpam-1243	173	41	d2	d2	PROPN
ejpam-1243	173	42	dr2	dr2	PROPN
ejpam-1243	174	1	+	+	CCONJ
ejpam-1243	174	2	1	1	NUM
ejpam-1243	174	3	r	r	NOUN
ejpam-1243	174	4	d	d	PROPN
ejpam-1243	174	5	dr	dr	PROPN
ejpam-1243	174	6	−	−	PROPN
ejpam-1243	174	7	1	1	NUM
ejpam-1243	174	8	r2	r2	PROPN
ejpam-1243	174	9	−	−	PROPN
ejpam-1243	174	10	p2	p2	PROPN
ejpam-1243	174	11	«	«	PUNCT
ejpam-1243	174	12	u	u	NOUN
ejpam-1243	174	13	−	−	PROPN
ejpam-1243	174	14	dθ	dθ	PROPN
ejpam-1243	174	15	dr	dr	PROPN
ejpam-1243	174	16	�	�	PROPN
ejpam-1243	174	17	nmdv	nmdv	NOUN
ejpam-1243	174	18	=	=	SYM
ejpam-1243	174	19	0	0	PROPN
ejpam-1243	174	20	(	(	PUNCT
ejpam-1243	174	21	39	39	NUM
ejpam-1243	174	22	)	)	PUNCT
ejpam-1243	174	23	and	and	CCONJ
ejpam-1243	174	24	∫	∫	PROPN
ejpam-1243	174	25	v	v	PROPN
ejpam-1243	174	26	(	(	PUNCT
ejpam-1243	174	27	e	e	NOUN
ejpam-1243	174	28	)	)	PUNCT
ejpam-1243	174	29	�	�	PROPN
ejpam-1243	174	30	¨	¨	NOUN
ejpam-1243	174	31	d2	d2	PROPN
ejpam-1243	174	32	dr2	dr2	PROPN
ejpam-1243	174	33	+	+	CCONJ
ejpam-1243	174	34	1	1	NUM
ejpam-1243	174	35	r	r	NOUN
ejpam-1243	174	36	d	d	PROPN
ejpam-1243	174	37	dr	dr	PROPN
ejpam-1243	174	38	−	−	PROPN
ejpam-1243	174	39	c	c	PROPN
ejpam-1243	174	40	«	«	PUNCT
ejpam-1243	174	41	θ−	θ−	PROPN
ejpam-1243	174	42	εc	εc	ADP
ejpam-1243	174	43	�	�	PROPN
ejpam-1243	174	44	d	d	PROPN
ejpam-1243	174	45	dr	dr	PROPN
ejpam-1243	174	46	+	+	PROPN
ejpam-1243	174	47	1	1	NUM
ejpam-1243	174	48	r	r	NOUN
ejpam-1243	174	49	�	�	PROPN
ejpam-1243	174	50	u	u	PROPN
ejpam-1243	174	51	�	�	PROPN
ejpam-1243	174	52	nmdv	nmdv	NOUN
ejpam-1243	174	53	=	=	SYM
ejpam-1243	174	54	0	0	PROPN
ejpam-1243	174	55	,	,	PUNCT
ejpam-1243	174	56	(	(	PUNCT
ejpam-1243	174	57	40	40	NUM
ejpam-1243	174	58	)	)	PUNCT
ejpam-1243	174	59	where	where	SCONJ
ejpam-1243	174	60	nm	nm	ADV
ejpam-1243	174	61	is	be	AUX
ejpam-1243	174	62	the	the	DET
ejpam-1243	174	63	shape	shape	NOUN
ejpam-1243	174	64	function	function	NOUN
ejpam-1243	174	65	.	.	PUNCT
ejpam-1243	175	1	equations	equation	NOUN
ejpam-1243	175	2	(	(	PUNCT
ejpam-1243	175	3	39	39	NUM
ejpam-1243	175	4	)	)	PUNCT
ejpam-1243	175	5	and	and	CCONJ
ejpam-1243	175	6	(	(	PUNCT
ejpam-1243	175	7	40	40	NUM
ejpam-1243	175	8	)	)	PUNCT
ejpam-1243	175	9	may	may	AUX
ejpam-1243	175	10	be	be	AUX
ejpam-1243	175	11	reduced	reduce	VERB
ejpam-1243	175	12	to	to	ADP
ejpam-1243	175	13	the	the	DET
ejpam-1243	175	14	weak	weak	ADJ
ejpam-1243	175	15	form	form	NOUN
ejpam-1243	175	16	.	.	PUNCT
ejpam-1243	176	1	using	use	VERB
ejpam-1243	176	2	the	the	DET
ejpam-1243	176	3	local	local	ADJ
ejpam-1243	176	4	coordinates	coordinate	NOUN
ejpam-1243	176	5	r∗	r∗	VERB
ejpam-1243	176	6	=	=	PUNCT
ejpam-1243	176	7	r−	r−	PROPN
ejpam-1243	176	8	ri	ri	PROPN
ejpam-1243	176	9	,	,	PUNCT
ejpam-1243	176	10	where	where	SCONJ
ejpam-1243	176	11	ri	ri	PROPN
ejpam-1243	176	12	is	be	AUX
ejpam-1243	176	13	the	the	DET
ejpam-1243	176	14	radius	radius	NOUN
ejpam-1243	176	15	of	of	ADP
ejpam-1243	176	16	the	the	DET
ejpam-1243	176	17	ith	ith	PROPN
ejpam-1243	176	18	node	node	NOUN
ejpam-1243	176	19	of	of	ADP
ejpam-1243	176	20	the	the	DET
ejpam-1243	176	21	base	base	NOUN
ejpam-1243	176	22	element	element	NOUN
ejpam-1243	176	23	,	,	PUNCT
ejpam-1243	176	24	equations	equation	NOUN
ejpam-1243	176	25	(	(	PUNCT
ejpam-1243	176	26	39	39	NUM
ejpam-1243	176	27	)	)	PUNCT
ejpam-1243	176	28	and	and	CCONJ
ejpam-1243	176	29	(	(	PUNCT
ejpam-1243	176	30	40	40	NUM
ejpam-1243	176	31	)	)	PUNCT
ejpam-1243	176	32	reduce	reduce	VERB
ejpam-1243	176	33	to	to	ADP
ejpam-1243	176	34	(	(	PUNCT
ejpam-1243	176	35	dropping	drop	VERB
ejpam-1243	176	36	the	the	DET
ejpam-1243	176	37	asterisk	asterisk	NOUN
ejpam-1243	176	38	for	for	ADP
ejpam-1243	176	39	convenience	convenience	NOUN
ejpam-1243	176	40	)	)	PUNCT
ejpam-1243	176	41	∫	∫	PROPN
ejpam-1243	177	1	l	l	NOUN
ejpam-1243	177	2	0	0	NUM
ejpam-1243	177	3	¨	¨	NOUN
ejpam-1243	177	4	−	−	PROPN
ejpam-1243	177	5	�	�	PROPN
ejpam-1243	177	6	�	�	PROPN
ejpam-1243	177	7	1	1	NUM
ejpam-1243	177	8	r+ri	r+ri	NOUN
ejpam-1243	178	1	d	d	X
ejpam-1243	178	2	dr	dr	PROPN
ejpam-1243	178	3	−	−	PROPN
ejpam-1243	178	4	1	1	NUM
ejpam-1243	178	5	(	(	PUNCT
ejpam-1243	178	6	r+ri	r+ri	NOUN
ejpam-1243	178	7	)	)	PUNCT
ejpam-1243	178	8	2	2	NUM
ejpam-1243	178	9	−	−	NOUN
ejpam-1243	178	10	p2	p2	PROPN
ejpam-1243	178	11	�	�	PROPN
ejpam-1243	178	12	u	u	PROPN
ejpam-1243	178	13	−	−	PROPN
ejpam-1243	178	14	dθ	dθ	PROPN
ejpam-1243	178	15	dr	dr	PROPN
ejpam-1243	178	16	�	�	PROPN
ejpam-1243	178	17	nm(r+ri	nm(r+ri	ADV
ejpam-1243	178	18	)	)	PUNCT
ejpam-1243	179	1	+	+	CCONJ
ejpam-1243	179	2	d	d	PROPN
ejpam-1243	179	3	dr	dr	PROPN
ejpam-1243	179	4	{	{	PUNCT
ejpam-1243	179	5	(	(	PUNCT
ejpam-1243	179	6	r+	r+	NOUN
ejpam-1243	179	7	ri)nm	ri)nm	NOUN
ejpam-1243	179	8	}	}	PUNCT
ejpam-1243	179	9	du	du	PROPN
ejpam-1243	179	10	dr	dr	PROPN
ejpam-1243	179	11	«	«	PUNCT
ejpam-1243	179	12	dr=	dr=	PROPN
ejpam-1243	179	13	(	(	PUNCT
ejpam-1243	179	14	r+ri)nm	r+ri)nm	PROPN
ejpam-1243	179	15	du	du	PROPN
ejpam-1243	179	16	dr	dr	PROPN
ejpam-1243	179	17	�	�	PROPN
ejpam-1243	179	18	�	�	PROPN
ejpam-1243	179	19	�	�	PROPN
ejpam-1243	179	20	l	l	PROPN
ejpam-1243	179	21	0	0	NUM
ejpam-1243	179	22	,	,	PUNCT
ejpam-1243	179	23	(	(	PUNCT
ejpam-1243	179	24	41	41	NUM
ejpam-1243	179	25	)	)	PUNCT
ejpam-1243	179	26	∫	∫	PROPN
ejpam-1243	180	1	l	l	NOUN
ejpam-1243	180	2	0	0	NUM
ejpam-1243	180	3	�	�	PROPN
ejpam-1243	180	4	−	−	PROPN
ejpam-1243	180	5	�	�	PROPN
ejpam-1243	180	6	�	�	PROPN
ejpam-1243	180	7	1	1	NUM
ejpam-1243	180	8	r+	r+	PUNCT
ejpam-1243	180	9	ri	ri	PROPN
ejpam-1243	180	10	d	d	PROPN
ejpam-1243	180	11	dr	dr	PROPN
ejpam-1243	180	12	−	−	PROPN
ejpam-1243	180	13	c	c	PROPN
ejpam-1243	180	14	�	�	PROPN
ejpam-1243	180	15	θ−	θ−	PROPN
ejpam-1243	180	16	εc	εc	NOUN
ejpam-1243	180	17	�	�	PROPN
ejpam-1243	180	18	d	d	PROPN
ejpam-1243	180	19	dr	dr	PROPN
ejpam-1243	180	20	+	+	PROPN
ejpam-1243	180	21	1	1	NUM
ejpam-1243	180	22	r+	r+	PUNCT
ejpam-1243	180	23	ri	ri	PROPN
ejpam-1243	180	24	�	�	PROPN
ejpam-1243	180	25	u	u	PROPN
ejpam-1243	180	26	�	�	PROPN
ejpam-1243	180	27	nm(r+	nm(r+	PROPN
ejpam-1243	180	28	ri	ri	PROPN
ejpam-1243	180	29	)	)	PUNCT
ejpam-1243	181	1	+	+	CCONJ
ejpam-1243	181	2	d	d	PROPN
ejpam-1243	181	3	dr	dr	PROPN
ejpam-1243	181	4	{	{	PUNCT
ejpam-1243	181	5	(	(	PUNCT
ejpam-1243	181	6	r+	r+	X
ejpam-1243	181	7	ri)nm	ri)nm	NOUN
ejpam-1243	181	8	}	}	PUNCT
ejpam-1243	181	9	dθ	dθ	PROPN
ejpam-1243	181	10	dr	dr	PROPN
ejpam-1243	181	11	«	«	PUNCT
ejpam-1243	181	12	dr=	dr=	PROPN
ejpam-1243	181	13	(	(	PUNCT
ejpam-1243	181	14	r+ri)nm	r+ri)nm	PROPN
ejpam-1243	181	15	dθ	dθ	PROPN
ejpam-1243	181	16	dr	dr	PROPN
ejpam-1243	181	17	�	�	PROPN
ejpam-1243	181	18	�	�	PROPN
ejpam-1243	181	19	�	�	PROPN
ejpam-1243	181	20	l	l	PROPN
ejpam-1243	181	21	0	0	NUM
ejpam-1243	181	22	,	,	PUNCT
ejpam-1243	181	23	(	(	PUNCT
ejpam-1243	181	24	42	42	NUM
ejpam-1243	181	25	)	)	PUNCT
ejpam-1243	182	1	where	where	SCONJ
ejpam-1243	182	2	l	l	NOUN
ejpam-1243	182	3	=	=	PUNCT
ejpam-1243	182	4	r	r	NOUN
ejpam-1243	182	5	j	j	PROPN
ejpam-1243	182	6	−	−	PROPN
ejpam-1243	182	7	riis	rii	VERB
ejpam-1243	182	8	the	the	DET
ejpam-1243	182	9	length	length	NOUN
ejpam-1243	182	10	of	of	ADP
ejpam-1243	182	11	the	the	DET
ejpam-1243	182	12	elements	element	NOUN
ejpam-1243	182	13	along	along	ADP
ejpam-1243	182	14	the	the	DET
ejpam-1243	182	15	radial	radial	ADJ
ejpam-1243	182	16	direction	direction	NOUN
ejpam-1243	182	17	.	.	PUNCT
ejpam-1243	183	1	the	the	DET
ejpam-1243	183	2	right	right	ADJ
ejpam-1243	183	3	-	-	PUNCT
ejpam-1243	183	4	hand	hand	NOUN
ejpam-1243	183	5	side	side	NOUN
ejpam-1243	183	6	terms	term	NOUN
ejpam-1243	183	7	of	of	ADP
ejpam-1243	183	8	the	the	DET
ejpam-1243	183	9	equations	equation	NOUN
ejpam-1243	183	10	(	(	PUNCT
ejpam-1243	183	11	41	41	NUM
ejpam-1243	183	12	)	)	PUNCT
ejpam-1243	183	13	and	and	CCONJ
ejpam-1243	183	14	(	(	PUNCT
ejpam-1243	183	15	42	42	X
ejpam-1243	183	16	)	)	PUNCT
ejpam-1243	183	17	cancel	cancel	VERB
ejpam-1243	183	18	each	each	DET
ejpam-1243	183	19	other	other	ADJ
ejpam-1243	183	20	between	between	ADP
ejpam-1243	183	21	two	two	NUM
ejpam-1243	183	22	adjacent	adjacent	ADJ
ejpam-1243	183	23	elements	element	NOUN
ejpam-1243	183	24	,	,	PUNCT
ejpam-1243	183	25	except	except	SCONJ
ejpam-1243	183	26	the	the	DET
ejpam-1243	183	27	first	first	ADJ
ejpam-1243	183	28	node	node	NOUN
ejpam-1243	183	29	of	of	ADP
ejpam-1243	183	30	the	the	DET
ejpam-1243	183	31	first	first	ADJ
ejpam-1243	183	32	element	element	NOUN
ejpam-1243	183	33	and	and	CCONJ
ejpam-1243	183	34	the	the	DET
ejpam-1243	183	35	last	last	ADJ
ejpam-1243	183	36	node	node	NOUN
ejpam-1243	183	37	of	of	ADP
ejpam-1243	183	38	the	the	DET
ejpam-1243	183	39	last	last	ADJ
ejpam-1243	183	40	element	element	NOUN
ejpam-1243	183	41	of	of	ADP
ejpam-1243	183	42	the	the	DET
ejpam-1243	183	43	solution	solution	NOUN
ejpam-1243	183	44	domain	domain	NOUN
ejpam-1243	183	45	.	.	PUNCT
ejpam-1243	184	1	these	these	DET
ejpam-1243	184	2	two	two	NUM
ejpam-1243	184	3	nodes	node	NOUN
ejpam-1243	184	4	are	be	AUX
ejpam-1243	184	5	located	locate	VERB
ejpam-1243	184	6	on	on	ADP
ejpam-1243	184	7	the	the	DET
ejpam-1243	184	8	inner	inner	ADJ
ejpam-1243	184	9	and	and	CCONJ
ejpam-1243	184	10	outer	outer	ADJ
ejpam-1243	184	11	boundaries	boundary	NOUN
ejpam-1243	184	12	of	of	ADP
ejpam-1243	184	13	the	the	DET
ejpam-1243	184	14	disc	disc	NOUN
ejpam-1243	184	15	.	.	PUNCT
ejpam-1243	185	1	thus	thus	ADV
ejpam-1243	185	2	applied	apply	VERB
ejpam-1243	185	3	boundary	boundary	ADJ
ejpam-1243	185	4	conditions	condition	NOUN
ejpam-1243	185	5	may	may	AUX
ejpam-1243	185	6	be	be	AUX
ejpam-1243	185	7	considered	consider	VERB
ejpam-1243	185	8	as	as	ADP
ejpam-1243	185	9	qin	qin	NOUN
ejpam-1243	185	10	=	=	PUNCT
ejpam-1243	186	1	−	−	PROPN
ejpam-1243	186	2	dθ	dθ	PROPN
ejpam-1243	186	3	dr	dr	PROPN
ejpam-1243	186	4	�	�	PROPN
ejpam-1243	186	5	�	�	PROPN
ejpam-1243	186	6	�	�	PROPN
ejpam-1243	186	7	1	1	NUM
ejpam-1243	186	8	,	,	PUNCT
ejpam-1243	186	9	u1	u1	NOUN
ejpam-1243	186	10	=	=	SYM
ejpam-1243	186	11	0	0	NUM
ejpam-1243	186	12	,	,	PUNCT
ejpam-1243	186	13	(	(	PUNCT
ejpam-1243	186	14	43	43	NUM
ejpam-1243	186	15	)	)	PUNCT
ejpam-1243	186	16	θm	θm	ADP
ejpam-1243	186	17	=	=	SYM
ejpam-1243	186	18	0	0	NUM
ejpam-1243	186	19	,	,	PUNCT
ejpam-1243	186	20	s	s	PROPN
ejpam-1243	186	21	du	du	PROPN
ejpam-1243	186	22	dr	dr	PROPN
ejpam-1243	186	23	�	�	PROPN
ejpam-1243	186	24	�	�	PROPN
ejpam-1243	186	25	�	�	PROPN
ejpam-1243	186	26	m	m	NOUN
ejpam-1243	186	27	=	=	SYM
ejpam-1243	186	28	−c2u	−c2u	X
ejpam-1243	186	29	m	m	VERB
ejpam-1243	186	30	,	,	PUNCT
ejpam-1243	186	31	(	(	PUNCT
ejpam-1243	186	32	44	44	NUM
ejpam-1243	186	33	)	)	PUNCT
ejpam-1243	186	34	where	where	SCONJ
ejpam-1243	186	35	u1	u1	NOUN
ejpam-1243	186	36	and	and	CCONJ
ejpam-1243	186	37	u	u	NOUN
ejpam-1243	186	38	m	m	VERB
ejpam-1243	186	39	are	be	AUX
ejpam-1243	186	40	the	the	DET
ejpam-1243	186	41	radial	radial	ADJ
ejpam-1243	186	42	displacements	displacement	NOUN
ejpam-1243	186	43	at	at	ADP
ejpam-1243	186	44	the	the	DET
ejpam-1243	186	45	inner	inner	ADJ
ejpam-1243	186	46	and	and	CCONJ
ejpam-1243	186	47	outer	outer	ADJ
ejpam-1243	186	48	boundaries	boundary	NOUN
ejpam-1243	186	49	of	of	ADP
ejpam-1243	186	50	the	the	DET
ejpam-1243	186	51	disc	disc	NOUN
ejpam-1243	186	52	respectively	respectively	ADV
ejpam-1243	186	53	.	.	PUNCT
ejpam-1243	187	1	the	the	DET
ejpam-1243	187	2	subscripts	subscript	NOUN
ejpam-1243	187	3	1	1	NUM
ejpam-1243	187	4	and	and	CCONJ
ejpam-1243	187	5	m	m	PROPN
ejpam-1243	187	6	denote	denote	VERB
ejpam-1243	187	7	the	the	DET
ejpam-1243	187	8	first	first	ADJ
ejpam-1243	187	9	and	and	CCONJ
ejpam-1243	187	10	last	last	ADJ
ejpam-1243	187	11	nodes	node	NOUN
ejpam-1243	187	12	of	of	ADP
ejpam-1243	187	13	the	the	DET
ejpam-1243	187	14	solution	solution	NOUN
ejpam-1243	187	15	domain	domain	NOUN
ejpam-1243	187	16	respectively	respectively	ADV
ejpam-1243	187	17	.	.	PUNCT
ejpam-1243	188	1	substituting	substitute	VERB
ejpam-1243	188	2	the	the	DET
ejpam-1243	188	3	equation	equation	NOUN
ejpam-1243	188	4	(	(	PUNCT
ejpam-1243	188	5	38	38	NUM
ejpam-1243	188	6	)	)	PUNCT
ejpam-1243	188	7	into	into	ADP
ejpam-1243	188	8	the	the	DET
ejpam-1243	188	9	equations	equation	NOUN
ejpam-1243	188	10	(	(	PUNCT
ejpam-1243	188	11	41	41	NUM
ejpam-1243	188	12	)	)	PUNCT
ejpam-1243	188	13	and	and	CCONJ
ejpam-1243	188	14	(	(	PUNCT
ejpam-1243	188	15	42	42	X
ejpam-1243	188	16	)	)	PUNCT
ejpam-1243	188	17	we	we	PRON
ejpam-1243	188	18	obtain	obtain	VERB
ejpam-1243	188	19	(	(	PUNCT
ejpam-1243	188	20	dropping	drop	VERB
ejpam-1243	188	21	the	the	DET
ejpam-1243	188	22	asterisks	asterisk	NOUN
ejpam-1243	188	23	for	for	ADP
ejpam-1243	188	24	convenience	convenience	NOUN
ejpam-1243	188	25	)	)	PUNCT
ejpam-1243	188	26	∫	∫	PROPN
ejpam-1243	189	1	l	l	NOUN
ejpam-1243	189	2	0	0	NUM
ejpam-1243	189	3	un	un	PROPN
ejpam-1243	189	4	�	�	PROPN
ejpam-1243	189	5	d	d	PROPN
ejpam-1243	189	6	dr	dr	PROPN
ejpam-1243	189	7	{	{	PUNCT
ejpam-1243	189	8	(	(	PUNCT
ejpam-1243	189	9	r+	r+	NOUN
ejpam-1243	189	10	ri)nm	ri)nm	ADJ
ejpam-1243	189	11	}	}	PUNCT
ejpam-1243	189	12	dnn	dnn	PROPN
ejpam-1243	189	13	dr	dr	PROPN
ejpam-1243	189	14	−	−	PROPN
ejpam-1243	189	15	nm	nm	PROPN
ejpam-1243	189	16	dnn	dnn	PROPN
ejpam-1243	189	17	dr	dr	PROPN
ejpam-1243	189	18	+	+	PROPN
ejpam-1243	189	19	nmnn	nmnn	ADJ
ejpam-1243	189	20	r+ri	r+ri	NOUN
ejpam-1243	190	1	+	+	CCONJ
ejpam-1243	190	2	p2(r+ri)nmnn	p2(r+ri)nmnn	PROPN
ejpam-1243	190	3	�	�	PROPN
ejpam-1243	190	4	dr	dr	PROPN
ejpam-1243	190	5	a.	a.	PROPN
ejpam-1243	190	6	kar	kar	PROPN
ejpam-1243	190	7	,	,	PUNCT
ejpam-1243	190	8	m.	m.	NOUN
ejpam-1243	190	9	kanoria	kanoria	PROPN
ejpam-1243	190	10	/	/	SYM
ejpam-1243	190	11	eur	eur	PROPN
ejpam-1243	190	12	.	.	PUNCT
ejpam-1243	191	1	j.	j.	PROPN
ejpam-1243	191	2	pure	pure	PROPN
ejpam-1243	191	3	appl	appl	PROPN
ejpam-1243	191	4	.	.	PROPN
ejpam-1243	191	5	math	math	PROPN
ejpam-1243	191	6	,	,	PUNCT
ejpam-1243	191	7	4	4	NUM
ejpam-1243	191	8	(	(	PUNCT
ejpam-1243	191	9	2011	2011	NUM
ejpam-1243	191	10	)	)	PUNCT
ejpam-1243	191	11	,	,	PUNCT
ejpam-1243	191	12	304	304	NUM
ejpam-1243	191	13	-	-	SYM
ejpam-1243	191	14	321	321	NUM
ejpam-1243	191	15	313	313	NUM
ejpam-1243	191	16	+	+	NUM
ejpam-1243	191	17	∫	∫	PROPN
ejpam-1243	191	18	l	l	NOUN
ejpam-1243	191	19	0	0	NUM
ejpam-1243	191	20	θn	θn	PROPN
ejpam-1243	191	21	�	�	PROPN
ejpam-1243	191	22	(	(	PUNCT
ejpam-1243	191	23	r+ri)nm	r+ri)nm	PROPN
ejpam-1243	191	24	dnn	dnn	PROPN
ejpam-1243	191	25	dr	dr	PROPN
ejpam-1243	191	26	�	�	PROPN
ejpam-1243	191	27	dr=	dr=	PROPN
ejpam-1243	191	28	(	(	PUNCT
ejpam-1243	191	29	r+	r+	X
ejpam-1243	191	30	ri)nm	ri)nm	X
ejpam-1243	191	31	du	du	PROPN
ejpam-1243	191	32	dr	dr	PROPN
ejpam-1243	191	33	�	�	PROPN
ejpam-1243	191	34	�	�	PROPN
ejpam-1243	191	35	�	�	PROPN
ejpam-1243	191	36	l	l	PROPN
ejpam-1243	191	37	0	0	NUM
ejpam-1243	191	38	,	,	PUNCT
ejpam-1243	191	39	(	(	PUNCT
ejpam-1243	191	40	45	45	NUM
ejpam-1243	191	41	)	)	PUNCT
ejpam-1243	191	42	∫	∫	PROPN
ejpam-1243	192	1	l	l	NOUN
ejpam-1243	192	2	0	0	NUM
ejpam-1243	192	3	un	un	PROPN
ejpam-1243	192	4	�	�	PROPN
ejpam-1243	192	5	εc	εc	ADP
ejpam-1243	192	6	�	�	PROPN
ejpam-1243	192	7	(	(	PUNCT
ejpam-1243	192	8	r+ri)nm	r+ri)nm	PROPN
ejpam-1243	192	9	dnn	dnn	PROPN
ejpam-1243	192	10	dr	dr	PROPN
ejpam-1243	192	11	+	+	PROPN
ejpam-1243	192	12	nmnn	nmnn	PROPN
ejpam-1243	192	13	�	�	PROPN
ejpam-1243	192	14	�	�	PROPN
ejpam-1243	192	15	dr+	dr+	NOUN
ejpam-1243	192	16	∫	∫	PROPN
ejpam-1243	192	17	l	l	NOUN
ejpam-1243	192	18	0	0	NUM
ejpam-1243	192	19	θn	θn	PROPN
ejpam-1243	192	20	�	�	PROPN
ejpam-1243	192	21	d	d	PROPN
ejpam-1243	192	22	dr	dr	PROPN
ejpam-1243	192	23	{	{	PUNCT
ejpam-1243	192	24	(	(	PUNCT
ejpam-1243	192	25	r+	r+	NOUN
ejpam-1243	192	26	ri)nm	ri)nm	X
ejpam-1243	192	27	}	}	PUNCT
ejpam-1243	192	28	dnn	dnn	PROPN
ejpam-1243	192	29	dr	dr	PROPN
ejpam-1243	192	30	−nm	−nm	PROPN
ejpam-1243	192	31	dnn	dnn	PROPN
ejpam-1243	192	32	dr	dr	PROPN
ejpam-1243	192	33	+	+	PROPN
ejpam-1243	192	34	c(r+	c(r+	X
ejpam-1243	192	35	ri)nmnn	ri)nmnn	NOUN
ejpam-1243	192	36	�	�	PROPN
ejpam-1243	192	37	dr=	dr=	PROPN
ejpam-1243	192	38	(	(	PUNCT
ejpam-1243	192	39	r+	r+	X
ejpam-1243	192	40	ri)nm	ri)nm	PROPN
ejpam-1243	192	41	dθ	dθ	PROPN
ejpam-1243	192	42	dr	dr	PROPN
ejpam-1243	192	43	�	�	PROPN
ejpam-1243	192	44	�	�	PROPN
ejpam-1243	192	45	�	�	PROPN
ejpam-1243	192	46	l	l	PROPN
ejpam-1243	192	47	0	0	NUM
ejpam-1243	192	48	,	,	PUNCT
ejpam-1243	192	49	(	(	PUNCT
ejpam-1243	192	50	46	46	NUM
ejpam-1243	192	51	)	)	PUNCT
ejpam-1243	192	52	now	now	ADV
ejpam-1243	192	53	the	the	DET
ejpam-1243	192	54	transfinite	transfinite	ADJ
ejpam-1243	192	55	element	element	NOUN
ejpam-1243	192	56	equations	equation	NOUN
ejpam-1243	192	57	(	(	PUNCT
ejpam-1243	192	58	45	45	NUM
ejpam-1243	192	59	)	)	PUNCT
ejpam-1243	192	60	and	and	CCONJ
ejpam-1243	192	61	(	(	PUNCT
ejpam-1243	192	62	46	46	NUM
ejpam-1243	192	63	)	)	PUNCT
ejpam-1243	192	64	are	be	AUX
ejpam-1243	192	65	expressed	express	VERB
ejpam-1243	192	66	in	in	ADP
ejpam-1243	192	67	the	the	DET
ejpam-1243	192	68	matrix	matrix	NOUN
ejpam-1243	192	69	form	form	NOUN
ejpam-1243	192	70	as	as	ADP
ejpam-1243	192	71	�	�	PROPN
ejpam-1243	192	72	(	(	PUNCT
ejpam-1243	192	73	k11	k11	PROPN
ejpam-1243	192	74	)	)	PUNCT
ejpam-1243	192	75	(	(	PUNCT
ejpam-1243	192	76	k12	k12	NOUN
ejpam-1243	192	77	)	)	PUNCT
ejpam-1243	192	78	(	(	PUNCT
ejpam-1243	192	79	k21	k21	PROPN
ejpam-1243	192	80	)	)	PUNCT
ejpam-1243	192	81	(	(	PUNCT
ejpam-1243	192	82	k22	k22	NOUN
ejpam-1243	192	83	)	)	PUNCT
ejpam-1243	192	84	�	�	PROPN
ejpam-1243	192	85	�	�	PROPN
ejpam-1243	192	86	u	u	PROPN
ejpam-1243	192	87	θ	θ	PROPN
ejpam-1243	192	88	�	�	PROPN
ejpam-1243	192	89	=	=	SYM
ejpam-1243	192	90	�	�	PROPN
ejpam-1243	192	91	f	f	PROPN
ejpam-1243	192	92	q	q	PROPN
ejpam-1243	192	93	�	�	PROPN
ejpam-1243	192	94	.	.	PUNCT
ejpam-1243	193	1	(	(	PUNCT
ejpam-1243	193	2	47	47	NUM
ejpam-1243	193	3	)	)	PUNCT
ejpam-1243	193	4	the	the	DET
ejpam-1243	193	5	submatrices	submatrice	NOUN
ejpam-1243	193	6	(	(	PUNCT
ejpam-1243	193	7	k11	k11	PROPN
ejpam-1243	193	8	)	)	PUNCT
ejpam-1243	193	9	,	,	PUNCT
ejpam-1243	193	10	(	(	PUNCT
ejpam-1243	193	11	k12	k12	NOUN
ejpam-1243	193	12	)	)	PUNCT
ejpam-1243	193	13	,	,	PUNCT
ejpam-1243	193	14	(	(	PUNCT
ejpam-1243	193	15	k21	k21	NOUN
ejpam-1243	193	16	)	)	PUNCT
ejpam-1243	193	17	,	,	PUNCT
ejpam-1243	193	18	(	(	PUNCT
ejpam-1243	193	19	k22	k22	NOUN
ejpam-1243	193	20	)	)	PUNCT
ejpam-1243	193	21	,	,	PUNCT
ejpam-1243	193	22	f	f	PROPN
ejpam-1243	193	23	,	,	PUNCT
ejpam-1243	193	24	and	and	CCONJ
ejpam-1243	193	25	q	q	PROPN
ejpam-1243	193	26	are	be	AUX
ejpam-1243	193	27	kmn	kmn	PROPN
ejpam-1243	193	28	11	11	NUM
ejpam-1243	193	29	=	=	SYM
ejpam-1243	193	30	∫	∫	PROPN
ejpam-1243	193	31	l	l	NOUN
ejpam-1243	193	32	0	0	NUM
ejpam-1243	193	33	�	�	PROPN
ejpam-1243	193	34	d	d	PROPN
ejpam-1243	193	35	dr	dr	PROPN
ejpam-1243	193	36	{	{	PUNCT
ejpam-1243	193	37	(	(	PUNCT
ejpam-1243	193	38	r+ri)nm	r+ri)nm	NOUN
ejpam-1243	193	39	}	}	PUNCT
ejpam-1243	193	40	dnn	dnn	PROPN
ejpam-1243	193	41	dr	dr	PROPN
ejpam-1243	193	42	−	−	PROPN
ejpam-1243	193	43	nm	nm	PROPN
ejpam-1243	193	44	dnn	dnn	PROPN
ejpam-1243	193	45	dr	dr	PROPN
ejpam-1243	193	46	+	+	PROPN
ejpam-1243	193	47	nmnn	nmnn	PROPN
ejpam-1243	193	48	r+	r+	PUNCT
ejpam-1243	193	49	ri	ri	NOUN
ejpam-1243	193	50	+	+	CCONJ
ejpam-1243	193	51	p2(r+	p2(r+	PROPN
ejpam-1243	193	52	ri)nmnn	ri)nmnn	NOUN
ejpam-1243	193	53	�	�	PROPN
ejpam-1243	193	54	dr	dr	PROPN
ejpam-1243	193	55	,	,	PUNCT
ejpam-1243	193	56	(	(	PUNCT
ejpam-1243	193	57	48	48	NUM
ejpam-1243	193	58	)	)	PUNCT
ejpam-1243	193	59	kmn	kmn	PROPN
ejpam-1243	193	60	12	12	NUM
ejpam-1243	193	61	=	=	SYM
ejpam-1243	193	62	∫	∫	PROPN
ejpam-1243	193	63	l	l	NOUN
ejpam-1243	193	64	0	0	PROPN
ejpam-1243	193	65	�	�	PROPN
ejpam-1243	193	66	(	(	PUNCT
ejpam-1243	193	67	r+	r+	X
ejpam-1243	193	68	ri)nm	ri)nm	X
ejpam-1243	193	69	dnn	dnn	PROPN
ejpam-1243	193	70	dr	dr	PROPN
ejpam-1243	193	71	�	�	PROPN
ejpam-1243	193	72	dr	dr	PROPN
ejpam-1243	193	73	,	,	PUNCT
ejpam-1243	193	74	(	(	PUNCT
ejpam-1243	193	75	49	49	NUM
ejpam-1243	193	76	)	)	PUNCT
ejpam-1243	193	77	kmn	kmn	PROPN
ejpam-1243	193	78	21	21	NUM
ejpam-1243	193	79	=	=	SYM
ejpam-1243	193	80	∫	∫	PROPN
ejpam-1243	193	81	l	l	NOUN
ejpam-1243	193	82	0	0	NUM
ejpam-1243	193	83	εc	εc	PROPN
ejpam-1243	193	84	�	�	PROPN
ejpam-1243	193	85	(	(	PUNCT
ejpam-1243	193	86	r+ri)nm	r+ri)nm	PROPN
ejpam-1243	193	87	dnn	dnn	PROPN
ejpam-1243	193	88	dr	dr	PROPN
ejpam-1243	193	89	+	+	PROPN
ejpam-1243	193	90	nmnn	nmnn	PROPN
ejpam-1243	193	91	�	�	PROPN
ejpam-1243	193	92	dr	dr	PROPN
ejpam-1243	193	93	,	,	PUNCT
ejpam-1243	193	94	(	(	PUNCT
ejpam-1243	193	95	50	50	NUM
ejpam-1243	193	96	)	)	PUNCT
ejpam-1243	193	97	kmn	kmn	PROPN
ejpam-1243	193	98	22	22	NUM
ejpam-1243	193	99	=	=	SYM
ejpam-1243	193	100	∫	∫	PROPN
ejpam-1243	193	101	l	l	NOUN
ejpam-1243	193	102	0	0	NUM
ejpam-1243	193	103	�	�	PROPN
ejpam-1243	193	104	d	d	PROPN
ejpam-1243	193	105	dr	dr	PROPN
ejpam-1243	193	106	{	{	PUNCT
ejpam-1243	193	107	(	(	PUNCT
ejpam-1243	193	108	r+	r+	NOUN
ejpam-1243	193	109	ri)nm	ri)nm	ADJ
ejpam-1243	193	110	}	}	PUNCT
ejpam-1243	193	111	dnn	dnn	PROPN
ejpam-1243	193	112	dr	dr	PROPN
ejpam-1243	193	113	−	−	PROPN
ejpam-1243	193	114	nm	nm	PROPN
ejpam-1243	193	115	dnn	dnn	PROPN
ejpam-1243	193	116	dr	dr	PROPN
ejpam-1243	193	117	+	+	PROPN
ejpam-1243	193	118	c(r+ri)nmnn	c(r+ri)nmnn	PROPN
ejpam-1243	193	119	�	�	PROPN
ejpam-1243	193	120	dr	dr	PROPN
ejpam-1243	193	121	,	,	PUNCT
ejpam-1243	193	122	(	(	PUNCT
ejpam-1243	193	123	51	51	NUM
ejpam-1243	193	124	)	)	PUNCT
ejpam-1243	193	125	f	f	NOUN
ejpam-1243	194	1	=	=	NOUN
ejpam-1243	194	2			PROPN
ejpam-1243	194	3			PROPN
ejpam-1243	194	4	0	0	NUM
ejpam-1243	194	5	0	0	NUM
ejpam-1243	194	6	·	·	PUNCT
ejpam-1243	194	7	·	·	PUNCT
ejpam-1243	194	8	0	0	NUM
ejpam-1243	195	1	−c2um	−c2um	NUM
ejpam-1243	195	2			PROPN
ejpam-1243	195	3			NOUN
ejpam-1243	195	4	and	and	CCONJ
ejpam-1243	195	5	q	q	NOUN
ejpam-1243	195	6	=	=	NOUN
ejpam-1243	195	7			PROPN
ejpam-1243	195	8			PROPN
ejpam-1243	195	9	qin	qin	NOUN
ejpam-1243	195	10	0	0	PUNCT
ejpam-1243	195	11	·	·	PUNCT
ejpam-1243	195	12	·	·	PUNCT
ejpam-1243	195	13	·	·	PUNCT
ejpam-1243	195	14	0	0	NUM
ejpam-1243	195	15			PROPN
ejpam-1243	195	16			PROPN
ejpam-1243	195	17	.	.	PUNCT
ejpam-1243	196	1	(	(	PUNCT
ejpam-1243	196	2	52	52	NUM
ejpam-1243	196	3	)	)	SYM
ejpam-1243	196	4	4	4	NUM
ejpam-1243	196	5	.	.	PUNCT
ejpam-1243	196	6	numerical	numerical	ADJ
ejpam-1243	196	7	results	result	NOUN
ejpam-1243	196	8	and	and	CCONJ
ejpam-1243	196	9	discussions	discussion	NOUN
ejpam-1243	196	10	the	the	DET
ejpam-1243	196	11	solution	solution	NOUN
ejpam-1243	196	12	in	in	ADP
ejpam-1243	196	13	the	the	DET
ejpam-1243	196	14	space	space	NOUN
ejpam-1243	196	15	-	-	PUNCT
ejpam-1243	196	16	time	time	NOUN
ejpam-1243	196	17	domain	domain	NOUN
ejpam-1243	196	18	is	be	AUX
ejpam-1243	196	19	obtained	obtain	VERB
ejpam-1243	196	20	numerically	numerically	ADV
ejpam-1243	196	21	by	by	ADP
ejpam-1243	196	22	using	use	VERB
ejpam-1243	196	23	bellman	bellman	PROPN
ejpam-1243	196	24	et	et	PROPN
ejpam-1243	196	25	al	al	PROPN
ejpam-1243	196	26	.	.	PUNCT
ejpam-1243	197	1	[	[	X
ejpam-1243	197	2	4	4	NUM
ejpam-1243	197	3	]	]	X
ejpam-1243	197	4	method	method	NOUN
ejpam-1243	197	5	for	for	ADP
ejpam-1243	197	6	fixed	fix	VERB
ejpam-1243	197	7	value	value	NOUN
ejpam-1243	197	8	of	of	ADP
ejpam-1243	197	9	the	the	DET
ejpam-1243	197	10	space	space	NOUN
ejpam-1243	197	11	variable	variable	NOUN
ejpam-1243	197	12	and	and	CCONJ
ejpam-1243	197	13	for	for	ADP
ejpam-1243	197	14	η	η	PROPN
ejpam-1243	197	15	=	=	PROPN
ejpam-1243	197	16	ηi	ηi	X
ejpam-1243	197	17	,	,	PUNCT
ejpam-1243	197	18	i	i	PRON
ejpam-1243	197	19	=	=	SYM
ejpam-1243	197	20	1(1)7	1(1)7	NOUN
ejpam-1243	197	21	,	,	PUNCT
ejpam-1243	197	22	where	where	SCONJ
ejpam-1243	197	23	ηi	ηi	PROPN
ejpam-1243	197	24	’s	’	VERB
ejpam-1243	197	25	are	be	AUX
ejpam-1243	197	26	computed	compute	VERB
ejpam-1243	197	27	from	from	ADP
ejpam-1243	197	28	roots	root	NOUN
ejpam-1243	197	29	of	of	ADP
ejpam-1243	197	30	the	the	DET
ejpam-1243	197	31	shifted	shift	VERB
ejpam-1243	197	32	legendre	legendre	PROPN
ejpam-1243	197	33	polynomial	polynomial	PROPN
ejpam-1243	197	34	of	of	ADP
ejpam-1243	197	35	degree	degree	NOUN
ejpam-1243	197	36	7	7	NUM
ejpam-1243	197	37	(	(	PUNCT
ejpam-1243	197	38	see	see	VERB
ejpam-1243	197	39	appendix	appendix	NOUN
ejpam-1243	197	40	)	)	PUNCT
ejpam-1243	197	41	.	.	PUNCT
ejpam-1243	198	1	the	the	DET
ejpam-1243	198	2	computations	computation	NOUN
ejpam-1243	198	3	for	for	ADP
ejpam-1243	198	4	the	the	DET
ejpam-1243	198	5	state	state	NOUN
ejpam-1243	198	6	variables	variable	NOUN
ejpam-1243	198	7	are	be	AUX
ejpam-1243	198	8	carried	carry	VERB
ejpam-1243	198	9	out	out	ADP
ejpam-1243	198	10	for	for	ADP
ejpam-1243	198	11	different	different	ADJ
ejpam-1243	198	12	values	value	NOUN
ejpam-1243	198	13	of	of	ADP
ejpam-1243	198	14	r	r	NOUN
ejpam-1243	198	15	(	(	PUNCT
ejpam-1243	198	16	1	1	NUM
ejpam-1243	198	17	≤	≤	NOUN
ejpam-1243	198	18	r	r	NOUN
ejpam-1243	198	19	≤	≤	NUM
ejpam-1243	198	20	s	s	PART
ejpam-1243	198	21	)	)	PUNCT
ejpam-1243	198	22	and	and	CCONJ
ejpam-1243	198	23	values	value	NOUN
ejpam-1243	198	24	of	of	ADP
ejpam-1243	198	25	ηi	ηi	PROPN
ejpam-1243	198	26	=	=	SYM
ejpam-1243	198	27	0.0257750,0.138382,0.352509,0.693147,1.21376,2.04612,3.67119	0.0257750,0.138382,0.352509,0.693147,1.21376,2.04612,3.67119	PROPN
ejpam-1243	198	28	.	.	PUNCT
ejpam-1243	199	1	the	the	DET
ejpam-1243	199	2	material	material	NOUN
ejpam-1243	199	3	chosen	choose	VERB
ejpam-1243	199	4	for	for	ADP
ejpam-1243	199	5	numerical	numerical	ADJ
ejpam-1243	199	6	evaluation	evaluation	NOUN
ejpam-1243	199	7	is	be	AUX
ejpam-1243	199	8	sapphire	sapphire	NOUN
ejpam-1243	199	9	.	.	PUNCT
ejpam-1243	200	1	the	the	DET
ejpam-1243	200	2	physical	physical	ADJ
ejpam-1243	200	3	data	datum	NOUN
ejpam-1243	200	4	for	for	ADP
ejpam-1243	200	5	sapphire	sapphire	NOUN
ejpam-1243	200	6	are†	are†	NOUN
ejpam-1243	200	7	ρ	ρ	PROPN
ejpam-1243	200	8	=	=	PROPN
ejpam-1243	200	9	3.96×	3.96×	NUM
ejpam-1243	200	10	103kg	103kg	NOUN
ejpam-1243	200	11	/	/	SYM
ejpam-1243	200	12	m3	m3	PROPN
ejpam-1243	200	13	,	,	PUNCT
ejpam-1243	200	14	ε=	ε=	ADJ
ejpam-1243	200	15	.0168	.0168	NOUN
ejpam-1243	200	16	,	,	PUNCT
ejpam-1243	200	17	c11	c11	NOUN
ejpam-1243	200	18	=	=	SYM
ejpam-1243	200	19	4.96×	4.96×	NUM
ejpam-1243	200	20	1010n	1010n	NUM
ejpam-1243	200	21	/	/	SYM
ejpam-1243	200	22	cm2	cm2	NOUN
ejpam-1243	200	23	,	,	PUNCT
ejpam-1243	200	24	c12	c12	NOUN
ejpam-1243	200	25	=	=	SYM
ejpam-1243	200	26	1.15×	1.15×	NUM
ejpam-1243	200	27	1010n	1010n	NUM
ejpam-1243	200	28	/	/	SYM
ejpam-1243	200	29	cm2	cm2	PROPN
ejpam-1243	200	30	†as	†a	VERB
ejpam-1243	200	31	recorded	record	VERB
ejpam-1243	200	32	on	on	ADP
ejpam-1243	200	33	www.matweb	www.matweb	PROPN
ejpam-1243	200	34	.	.	PUNCT
ejpam-1243	200	35	om	om	PROPN
ejpam-1243	200	36	a.	a.	PROPN
ejpam-1243	200	37	kar	kar	PROPN
ejpam-1243	200	38	,	,	PUNCT
ejpam-1243	200	39	m.	m.	NOUN
ejpam-1243	200	40	kanoria	kanoria	PROPN
ejpam-1243	200	41	/	/	SYM
ejpam-1243	200	42	eur	eur	PROPN
ejpam-1243	200	43	.	.	PUNCT
ejpam-1243	201	1	j.	j.	PROPN
ejpam-1243	201	2	pure	pure	PROPN
ejpam-1243	201	3	appl	appl	PROPN
ejpam-1243	201	4	.	.	PROPN
ejpam-1243	201	5	math	math	PROPN
ejpam-1243	201	6	,	,	PUNCT
ejpam-1243	201	7	4	4	NUM
ejpam-1243	201	8	(	(	PUNCT
ejpam-1243	201	9	2011	2011	NUM
ejpam-1243	201	10	)	)	PUNCT
ejpam-1243	201	11	,	,	PUNCT
ejpam-1243	201	12	304	304	NUM
ejpam-1243	201	13	-	-	SYM
ejpam-1243	201	14	321	321	NUM
ejpam-1243	201	15	314	314	NUM
ejpam-1243	201	16	and	and	CCONJ
ejpam-1243	201	17	the	the	DET
ejpam-1243	201	18	relaxation	relaxation	NOUN
ejpam-1243	201	19	time	time	NOUN
ejpam-1243	201	20	parameters	parameter	NOUN
ejpam-1243	201	21	and	and	CCONJ
ejpam-1243	201	22	material	material	NOUN
ejpam-1243	201	23	parameters	parameter	NOUN
ejpam-1243	201	24	are	be	AUX
ejpam-1243	201	25	taken	take	VERB
ejpam-1243	201	26	as	as	ADP
ejpam-1243	201	27	τq	τq	VERB
ejpam-1243	201	28	=	=	NOUN
ejpam-1243	201	29	2.0×10−7sec	2.0×10−7sec	NUM
ejpam-1243	201	30	,	,	PUNCT
ejpam-1243	201	31	τt	τt	ADP
ejpam-1243	201	32	=	=	PUNCT
ejpam-1243	201	33	1.5×	1.5×	NUM
ejpam-1243	201	34	10−7sec	10−7sec	NOUN
ejpam-1243	201	35	,	,	PUNCT
ejpam-1243	201	36	τν	τν	PRON
ejpam-1243	201	37	=	=	NOUN
ejpam-1243	201	38	1.0×	1.0×	NUM
ejpam-1243	201	39	10−7sec	10−7sec	NOUN
ejpam-1243	201	40	,	,	PUNCT
ejpam-1243	201	41	whereas	whereas	SCONJ
ejpam-1243	201	42	ct	ct	PROPN
ejpam-1243	201	43	=	=	SYM
ejpam-1243	201	44	2	2	NUM
ejpam-1243	201	45	and	and	CCONJ
ejpam-1243	201	46	ck	ck	NOUN
ejpam-1243	201	47	=	=	NOUN
ejpam-1243	201	48	1.2	1.2	NUM
ejpam-1243	201	49	.	.	PUNCT
ejpam-1243	202	1	the	the	DET
ejpam-1243	202	2	dimensionless	dimensionless	NOUN
ejpam-1243	202	3	inner	inner	ADJ
ejpam-1243	202	4	and	and	CCONJ
ejpam-1243	202	5	outer	outer	ADJ
ejpam-1243	202	6	radii	radius	NOUN
ejpam-1243	202	7	are	be	AUX
ejpam-1243	202	8	taken	take	VERB
ejpam-1243	202	9	as	as	ADP
ejpam-1243	202	10	r	r	NOUN
ejpam-1243	202	11	=	=	SYM
ejpam-1243	202	12	1	1	NUM
ejpam-1243	202	13	and	and	CCONJ
ejpam-1243	202	14	s	s	X
ejpam-1243	202	15	=	=	SYM
ejpam-1243	202	16	2	2	NUM
ejpam-1243	202	17	respectively	respectively	ADV
ejpam-1243	202	18	.	.	PUNCT
ejpam-1243	203	1	the	the	DET
ejpam-1243	203	2	dimensionless	dimensionless	NOUN
ejpam-1243	203	3	input	input	NOUN
ejpam-1243	203	4	heat	heat	NOUN
ejpam-1243	203	5	flux	flux	NOUN
ejpam-1243	203	6	is	be	AUX
ejpam-1243	203	7	defined	define	VERB
ejpam-1243	203	8	as	as	ADP
ejpam-1243	203	9	the	the	DET
ejpam-1243	203	10	heaviside	heaviside	ADJ
ejpam-1243	203	11	unit	unit	NOUN
ejpam-1243	203	12	step	step	NOUN
ejpam-1243	203	13	function	function	NOUN
ejpam-1243	203	14	.	.	PUNCT
ejpam-1243	204	1	that	that	PRON
ejpam-1243	204	2	is	be	AUX
ejpam-1243	204	3	qin(η	qin(η	PROPN
ejpam-1243	204	4	)	)	PUNCT
ejpam-1243	204	5	=	=	SYM
ejpam-1243	204	6	0	0	NUM
ejpam-1243	204	7	for	for	ADP
ejpam-1243	204	8	η	η	PROPN
ejpam-1243	204	9	≤	≤	PROPN
ejpam-1243	204	10	0	0	NUM
ejpam-1243	204	11	and	and	CCONJ
ejpam-1243	204	12	qin(η	qin(η	NUM
ejpam-1243	204	13	)	)	PUNCT
ejpam-1243	205	1	=	=	SYM
ejpam-1243	205	2	1	1	NUM
ejpam-1243	205	3	/	/	SYM
ejpam-1243	205	4	s	s	PROPN
ejpam-1243	205	5	for	for	ADP
ejpam-1243	205	6	η	η	PROPN
ejpam-1243	205	7	>	>	X
ejpam-1243	205	8	0	0	PROPN
ejpam-1243	205	9	.	.	PUNCT
ejpam-1243	206	1	the	the	DET
ejpam-1243	206	2	results	result	NOUN
ejpam-1243	206	3	of	of	ADP
ejpam-1243	206	4	the	the	DET
ejpam-1243	206	5	numerical	numerical	ADJ
ejpam-1243	206	6	evaluation	evaluation	NOUN
ejpam-1243	206	7	of	of	ADP
ejpam-1243	206	8	the	the	DET
ejpam-1243	206	9	thermo	thermo	NOUN
ejpam-1243	206	10	-	-	PUNCT
ejpam-1243	206	11	elastic	elastic	ADJ
ejpam-1243	206	12	stresses	stress	NOUN
ejpam-1243	206	13	,	,	PUNCT
ejpam-1243	206	14	displacement	displacement	NOUN
ejpam-1243	206	15	and	and	CCONJ
ejpam-1243	206	16	temperature	temperature	NOUN
ejpam-1243	206	17	are	be	AUX
ejpam-1243	206	18	illustrated	illustrate	VERB
ejpam-1243	206	19	in	in	ADP
ejpam-1243	206	20	figs	fig	NOUN
ejpam-1243	206	21	.	.	PUNCT
ejpam-1243	207	1	1	1	NUM
ejpam-1243	207	2	to	to	PART
ejpam-1243	207	3	8	8	NUM
ejpam-1243	207	4	using	use	VERB
ejpam-1243	207	5	the	the	DET
ejpam-1243	207	6	galerkin	galerkin	ADJ
ejpam-1243	207	7	finite	finite	PROPN
ejpam-1243	207	8	element	element	NOUN
ejpam-1243	207	9	method	method	NOUN
ejpam-1243	207	10	and	and	CCONJ
ejpam-1243	207	11	eigen	eigen	PROPN
ejpam-1243	207	12	value	value	NOUN
ejpam-1243	207	13	approach	approach	NOUN
ejpam-1243	207	14	.	.	PUNCT
ejpam-1243	208	1	for	for	ADP
ejpam-1243	208	2	the	the	DET
ejpam-1243	208	3	galerkin	galerkin	PROPN
ejpam-1243	208	4	finite	finite	PROPN
ejpam-1243	208	5	element	element	PROPN
ejpam-1243	208	6	method	method	NOUN
ejpam-1243	208	7	the	the	DET
ejpam-1243	208	8	graphs	graph	NOUN
ejpam-1243	208	9	are	be	AUX
ejpam-1243	208	10	represented	represent	VERB
ejpam-1243	208	11	by	by	ADP
ejpam-1243	208	12	fin3p	fin3p	ADP
ejpam-1243	208	13	and	and	CCONJ
ejpam-1243	208	14	fingn	fingn	PROPN
ejpam-1243	208	15	-	-	PUNCT
ejpam-1243	208	16	ii	ii	NOUN
ejpam-1243	208	17	respectively	respectively	ADV
ejpam-1243	208	18	whereas	whereas	SCONJ
ejpam-1243	208	19	for	for	ADP
ejpam-1243	208	20	eigen	eigen	NOUN
ejpam-1243	208	21	-	-	PUNCT
ejpam-1243	208	22	value	value	NOUN
ejpam-1243	208	23	approach	approach	NOUN
ejpam-1243	208	24	these	these	PRON
ejpam-1243	208	25	are	be	AUX
ejpam-1243	208	26	denoted	denote	VERB
ejpam-1243	208	27	by	by	ADP
ejpam-1243	208	28	3phase	3phase	PROPN
ejpam-1243	208	29	and	and	CCONJ
ejpam-1243	208	30	gn	gn	PROPN
ejpam-1243	208	31	-	-	PUNCT
ejpam-1243	208	32	ii	ii	PROPN
ejpam-1243	208	33	respectively	respectively	ADV
ejpam-1243	208	34	.	.	PUNCT
ejpam-1243	209	1	in	in	ADP
ejpam-1243	209	2	all	all	DET
ejpam-1243	209	3	the	the	DET
ejpam-1243	209	4	figures	figure	NOUN
ejpam-1243	209	5	1	1	NUM
ejpam-1243	209	6	to	to	PART
ejpam-1243	209	7	8	8	NUM
ejpam-1243	209	8	we	we	PRON
ejpam-1243	209	9	observe	observe	VERB
ejpam-1243	209	10	that	that	SCONJ
ejpam-1243	209	11	both	both	CCONJ
ejpam-1243	209	12	the	the	DET
ejpam-1243	209	13	methods	method	NOUN
ejpam-1243	209	14	(	(	PUNCT
ejpam-1243	209	15	eigen	eigen	NOUN
ejpam-1243	209	16	-	-	PUNCT
ejpam-1243	209	17	value	value	NOUN
ejpam-1243	209	18	approach	approach	NOUN
ejpam-1243	209	19	and	and	CCONJ
ejpam-1243	209	20	galerkin	galerkin	PROPN
ejpam-1243	209	21	finite	finite	PROPN
ejpam-1243	209	22	element	element	NOUN
ejpam-1243	209	23	method	method	NOUN
ejpam-1243	209	24	)	)	PUNCT
ejpam-1243	209	25	produce	produce	VERB
ejpam-1243	209	26	similar	similar	ADJ
ejpam-1243	209	27	qualitative	qualitative	ADJ
ejpam-1243	209	28	behavior	behavior	NOUN
ejpam-1243	209	29	but	but	CCONJ
ejpam-1243	209	30	the	the	DET
ejpam-1243	209	31	magnitudes	magnitude	NOUN
ejpam-1243	209	32	differ	differ	VERB
ejpam-1243	209	33	slightly	slightly	ADV
ejpam-1243	209	34	.	.	PUNCT
ejpam-1243	210	1	this	this	PRON
ejpam-1243	210	2	is	be	AUX
ejpam-1243	210	3	obvious	obvious	ADJ
ejpam-1243	210	4	since	since	SCONJ
ejpam-1243	210	5	the	the	DET
ejpam-1243	210	6	two	two	NUM
ejpam-1243	210	7	methods	method	NOUN
ejpam-1243	210	8	are	be	AUX
ejpam-1243	210	9	independent	independent	ADJ
ejpam-1243	210	10	.	.	PUNCT
ejpam-1243	211	1	finite	finite	PROPN
ejpam-1243	211	2	element	element	NOUN
ejpam-1243	211	3	method	method	NOUN
ejpam-1243	211	4	is	be	AUX
ejpam-1243	211	5	fully	fully	ADV
ejpam-1243	211	6	numerical	numerical	ADJ
ejpam-1243	211	7	method	method	NOUN
ejpam-1243	211	8	,	,	PUNCT
ejpam-1243	211	9	whereas	whereas	SCONJ
ejpam-1243	211	10	,	,	PUNCT
ejpam-1243	211	11	the	the	DET
ejpam-1243	211	12	eigen	eigen	NOUN
ejpam-1243	211	13	-	-	PUNCT
ejpam-1243	211	14	value	value	NOUN
ejpam-1243	211	15	approach	approach	NOUN
ejpam-1243	211	16	is	be	AUX
ejpam-1243	211	17	partially	partially	ADV
ejpam-1243	211	18	analytical	analytical	ADJ
ejpam-1243	211	19	and	and	CCONJ
ejpam-1243	211	20	partially	partially	ADV
ejpam-1243	211	21	numerical	numerical	ADJ
ejpam-1243	211	22	.	.	PUNCT
ejpam-1243	212	1	fig.1	fig.1	PROPN
ejpam-1243	212	2	shows	show	VERB
ejpam-1243	212	3	the	the	DET
ejpam-1243	212	4	radial	radial	ADJ
ejpam-1243	212	5	stress	stress	NOUN
ejpam-1243	212	6	σr	σr	ADP
ejpam-1243	212	7	along	along	ADP
ejpam-1243	212	8	the	the	DET
ejpam-1243	212	9	radial	radial	ADJ
ejpam-1243	212	10	distance	distance	NOUN
ejpam-1243	212	11	r	r	NOUN
ejpam-1243	212	12	for	for	ADP
ejpam-1243	212	13	time	time	NOUN
ejpam-1243	212	14	η	η	PROPN
ejpam-1243	212	15	=	=	PROPN
ejpam-1243	212	16	.35	.35	PROPN
ejpam-1243	212	17	.	.	PUNCT
ejpam-1243	213	1	since	since	ADV
ejpam-1243	213	2	,	,	PUNCT
ejpam-1243	213	3	by	by	ADP
ejpam-1243	213	4	the	the	DET
ejpam-1243	213	5	assumption	assumption	NOUN
ejpam-1243	213	6	,	,	PUNCT
ejpam-1243	213	7	the	the	DET
ejpam-1243	213	8	inner	inner	ADJ
ejpam-1243	213	9	and	and	CCONJ
ejpam-1243	213	10	outer	outer	ADJ
ejpam-1243	213	11	boundaries	boundary	NOUN
ejpam-1243	213	12	of	of	ADP
ejpam-1243	213	13	the	the	DET
ejpam-1243	213	14	disc	disc	NOUN
ejpam-1243	213	15	are	be	AUX
ejpam-1243	213	16	constrained	constrain	VERB
ejpam-1243	213	17	and	and	CCONJ
ejpam-1243	213	18	traction	traction	NOUN
ejpam-1243	213	19	free	free	ADJ
ejpam-1243	213	20	respectively	respectively	ADV
ejpam-1243	213	21	,	,	PUNCT
ejpam-1243	213	22	the	the	DET
ejpam-1243	213	23	disc	disc	NOUN
ejpam-1243	213	24	expand	expand	VERB
ejpam-1243	213	25	outwards	outward	NOUN
ejpam-1243	213	26	.	.	PUNCT
ejpam-1243	214	1	also	also	ADV
ejpam-1243	214	2	heat	heat	NOUN
ejpam-1243	214	3	flux	flux	NOUN
ejpam-1243	214	4	is	be	AUX
ejpam-1243	214	5	applied	apply	VERB
ejpam-1243	214	6	on	on	ADP
ejpam-1243	214	7	the	the	DET
ejpam-1243	214	8	inner	inner	ADJ
ejpam-1243	214	9	boundary.thus	boundary.thu	NOUN
ejpam-1243	214	10	the	the	DET
ejpam-1243	214	11	stress	stress	NOUN
ejpam-1243	214	12	waves	wave	NOUN
ejpam-1243	214	13	propagate	propagate	VERB
ejpam-1243	214	14	from	from	ADP
ejpam-1243	214	15	inner	inner	ADJ
ejpam-1243	214	16	boundary	boundary	NOUN
ejpam-1243	214	17	to	to	ADP
ejpam-1243	214	18	outer	outer	ADJ
ejpam-1243	214	19	boundary	boundary	ADJ
ejpam-1243	214	20	.	.	PUNCT
ejpam-1243	215	1	it	it	PRON
ejpam-1243	215	2	is	be	AUX
ejpam-1243	215	3	also	also	ADV
ejpam-1243	215	4	observed	observe	VERB
ejpam-1243	215	5	that	that	SCONJ
ejpam-1243	215	6	the	the	DET
ejpam-1243	215	7	radial	radial	ADJ
ejpam-1243	215	8	stress	stress	NOUN
ejpam-1243	215	9	is	be	AUX
ejpam-1243	215	10	compressive	compressive	ADJ
ejpam-1243	215	11	due	due	ADP
ejpam-1243	215	12	to	to	ADP
ejpam-1243	215	13	the	the	DET
ejpam-1243	215	14	application	application	NOUN
ejpam-1243	215	15	of	of	ADP
ejpam-1243	215	16	the	the	DET
ejpam-1243	215	17	thermal	thermal	ADJ
ejpam-1243	215	18	shock	shock	NOUN
ejpam-1243	215	19	on	on	ADP
ejpam-1243	215	20	the	the	DET
ejpam-1243	215	21	inner	inner	ADJ
ejpam-1243	215	22	boundary	boundary	NOUN
ejpam-1243	215	23	.	.	PUNCT
ejpam-1243	216	1	also	also	ADV
ejpam-1243	216	2	the	the	DET
ejpam-1243	216	3	stress	stress	NOUN
ejpam-1243	216	4	in	in	ADP
ejpam-1243	216	5	each	each	DET
ejpam-1243	216	6	case	case	NOUN
ejpam-1243	216	7	is	be	AUX
ejpam-1243	216	8	found	find	VERB
ejpam-1243	216	9	to	to	PART
ejpam-1243	216	10	vanish	vanish	VERB
ejpam-1243	216	11	on	on	ADP
ejpam-1243	216	12	the	the	DET
ejpam-1243	216	13	outer	outer	ADJ
ejpam-1243	216	14	boundary	boundary	NOUN
ejpam-1243	216	15	,	,	PUNCT
ejpam-1243	216	16	which	which	PRON
ejpam-1243	216	17	agrees	agree	VERB
ejpam-1243	216	18	with	with	ADP
ejpam-1243	216	19	the	the	DET
ejpam-1243	216	20	imposed	impose	VERB
ejpam-1243	216	21	boundary	boundary	ADJ
ejpam-1243	216	22	condition	condition	NOUN
ejpam-1243	216	23	.	.	PUNCT
ejpam-1243	217	1	fig.2	fig.2	PROPN
ejpam-1243	217	2	is	be	AUX
ejpam-1243	217	3	plotted	plot	VERB
ejpam-1243	217	4	to	to	PART
ejpam-1243	217	5	show	show	VERB
ejpam-1243	217	6	the	the	DET
ejpam-1243	217	7	variation	variation	NOUN
ejpam-1243	217	8	of	of	ADP
ejpam-1243	217	9	the	the	DET
ejpam-1243	217	10	circumferential	circumferential	ADJ
ejpam-1243	217	11	stress	stress	NOUN
ejpam-1243	217	12	σθ	σθ	NOUN
ejpam-1243	217	13	along	along	ADP
ejpam-1243	217	14	r	r	NOUN
ejpam-1243	217	15	for	for	ADP
ejpam-1243	217	16	fixed	fix	VERB
ejpam-1243	217	17	time	time	NOUN
ejpam-1243	217	18	η	η	PROPN
ejpam-1243	217	19	=	=	PROPN
ejpam-1243	217	20	.35	.35	PROPN
ejpam-1243	217	21	.	.	PUNCT
ejpam-1243	218	1	the	the	DET
ejpam-1243	218	2	elastic	elastic	ADJ
ejpam-1243	218	3	wave	wave	NOUN
ejpam-1243	218	4	front	front	NOUN
ejpam-1243	218	5	is	be	AUX
ejpam-1243	218	6	seen	see	VERB
ejpam-1243	218	7	near	near	ADP
ejpam-1243	218	8	the	the	DET
ejpam-1243	218	9	outer	outer	ADJ
ejpam-1243	218	10	boundary.it	boundary.it	NUM
ejpam-1243	218	11	is	be	AUX
ejpam-1243	218	12	noticed	notice	VERB
ejpam-1243	218	13	that	that	SCONJ
ejpam-1243	218	14	circumferential	circumferential	ADJ
ejpam-1243	218	15	stress	stress	NOUN
ejpam-1243	218	16	in	in	ADP
ejpam-1243	218	17	each	each	DET
ejpam-1243	218	18	case	case	NOUN
ejpam-1243	218	19	is	be	AUX
ejpam-1243	218	20	compressive	compressive	ADJ
ejpam-1243	218	21	.	.	PUNCT
ejpam-1243	219	1	also	also	ADV
ejpam-1243	219	2	each	each	DET
ejpam-1243	219	3	σθ	σθ	NOUN
ejpam-1243	219	4	attains	attain	VERB
ejpam-1243	219	5	its	its	PRON
ejpam-1243	219	6	maximum	maximum	ADJ
ejpam-1243	219	7	magnitude	magnitude	NOUN
ejpam-1243	219	8	on	on	ADP
ejpam-1243	219	9	the	the	DET
ejpam-1243	219	10	inner	inner	ADJ
ejpam-1243	219	11	boundary	boundary	NOUN
ejpam-1243	219	12	,	,	PUNCT
ejpam-1243	219	13	since	since	SCONJ
ejpam-1243	219	14	inner	inner	ADJ
ejpam-1243	219	15	boundary	boundary	NOUN
ejpam-1243	219	16	is	be	AUX
ejpam-1243	219	17	rigid	rigid	ADJ
ejpam-1243	219	18	and	and	CCONJ
ejpam-1243	219	19	the	the	DET
ejpam-1243	219	20	heat	heat	NOUN
ejpam-1243	219	21	flux	flux	NOUN
ejpam-1243	219	22	is	be	AUX
ejpam-1243	219	23	applied	apply	VERB
ejpam-1243	219	24	on	on	ADP
ejpam-1243	219	25	it	it	PRON
ejpam-1243	219	26	.	.	PUNCT
ejpam-1243	220	1	fig.3	fig.3	PROPN
ejpam-1243	220	2	is	be	AUX
ejpam-1243	220	3	drawn	draw	VERB
ejpam-1243	220	4	to	to	PART
ejpam-1243	220	5	show	show	VERB
ejpam-1243	220	6	the	the	DET
ejpam-1243	220	7	variation	variation	NOUN
ejpam-1243	220	8	of	of	ADP
ejpam-1243	220	9	the	the	DET
ejpam-1243	220	10	displacement	displacement	ADJ
ejpam-1243	220	11	u	u	NOUN
ejpam-1243	220	12	versus	versus	ADP
ejpam-1243	220	13	r	r	NOUN
ejpam-1243	220	14	for	for	ADP
ejpam-1243	220	15	time	time	NOUN
ejpam-1243	220	16	η	η	PROPN
ejpam-1243	220	17	=	=	PROPN
ejpam-1243	220	18	.35	.35	PROPN
ejpam-1243	220	19	.	.	PUNCT
ejpam-1243	221	1	it	it	PRON
ejpam-1243	221	2	is	be	AUX
ejpam-1243	221	3	seen	see	VERB
ejpam-1243	221	4	that	that	SCONJ
ejpam-1243	221	5	the	the	DET
ejpam-1243	221	6	boundary	boundary	ADJ
ejpam-1243	221	7	condition	condition	NOUN
ejpam-1243	221	8	for	for	ADP
ejpam-1243	221	9	the	the	DET
ejpam-1243	221	10	displacement	displacement	NOUN
ejpam-1243	221	11	is	be	AUX
ejpam-1243	221	12	satisfied	satisfied	ADJ
ejpam-1243	221	13	on	on	ADP
ejpam-1243	221	14	the	the	DET
ejpam-1243	221	15	inner	inner	ADJ
ejpam-1243	221	16	boundary	boundary	NOUN
ejpam-1243	221	17	.	.	PUNCT
ejpam-1243	222	1	the	the	DET
ejpam-1243	222	2	magnitudes	magnitude	NOUN
ejpam-1243	222	3	of	of	ADP
ejpam-1243	222	4	the	the	DET
ejpam-1243	222	5	displacements	displacement	NOUN
ejpam-1243	222	6	for	for	ADP
ejpam-1243	222	7	the	the	DET
ejpam-1243	222	8	gn	gn	PROPN
ejpam-1243	222	9	-	-	PUNCT
ejpam-1243	222	10	ii	ii	PROPN
ejpam-1243	222	11	three	three	NUM
ejpam-1243	222	12	-	-	PUNCT
ejpam-1243	222	13	phase	phase	NOUN
ejpam-1243	222	14	-	-	PUNCT
ejpam-1243	222	15	lag	lag	NOUN
ejpam-1243	222	16	models	model	NOUN
ejpam-1243	222	17	are	be	AUX
ejpam-1243	222	18	almost	almost	ADV
ejpam-1243	222	19	the	the	DET
ejpam-1243	222	20	same	same	ADJ
ejpam-1243	222	21	in	in	ADP
ejpam-1243	222	22	1	1	NUM
ejpam-1243	222	23	≤	≤	NOUN
ejpam-1243	222	24	r	r	NOUN
ejpam-1243	222	25	≤	≤	NUM
ejpam-1243	222	26	1.2	1.2	NUM
ejpam-1243	222	27	whereas	wherea	NOUN
ejpam-1243	222	28	,	,	PUNCT
ejpam-1243	222	29	the	the	DET
ejpam-1243	222	30	displacements	displacement	NOUN
ejpam-1243	222	31	propagate	propagate	VERB
ejpam-1243	222	32	with	with	ADP
ejpam-1243	222	33	different	different	ADJ
ejpam-1243	222	34	magnitudes	magnitude	NOUN
ejpam-1243	222	35	in	in	ADP
ejpam-1243	222	36	1.2	1.2	NUM
ejpam-1243	222	37	<	<	X
ejpam-1243	222	38	r	r	NOUN
ejpam-1243	222	39	≤	≤	NUM
ejpam-1243	222	40	2	2	NUM
ejpam-1243	222	41	.	.	PUNCT
ejpam-1243	223	1	it	it	PRON
ejpam-1243	223	2	is	be	AUX
ejpam-1243	223	3	also	also	ADV
ejpam-1243	223	4	noticeable	noticeable	ADJ
ejpam-1243	223	5	that	that	SCONJ
ejpam-1243	223	6	the	the	DET
ejpam-1243	223	7	magnitudes	magnitude	NOUN
ejpam-1243	223	8	of	of	ADP
ejpam-1243	223	9	the	the	DET
ejpam-1243	223	10	displacements	displacement	NOUN
ejpam-1243	223	11	for	for	ADP
ejpam-1243	223	12	the	the	DET
ejpam-1243	223	13	case	case	NOUN
ejpam-1243	223	14	of	of	ADP
ejpam-1243	223	15	the	the	DET
ejpam-1243	223	16	gn	gn	PROPN
ejpam-1243	223	17	-	-	PUNCT
ejpam-1243	223	18	ii	ii	PROPN
ejpam-1243	223	19	model	model	NOUN
ejpam-1243	223	20	asymptotically	asymptotically	ADV
ejpam-1243	223	21	tend	tend	VERB
ejpam-1243	223	22	to	to	PART
ejpam-1243	223	23	zero	zero	NUM
ejpam-1243	223	24	much	much	ADV
ejpam-1243	223	25	earlier	early	ADV
ejpam-1243	223	26	than	than	ADP
ejpam-1243	223	27	for	for	ADP
ejpam-1243	223	28	those	those	DET
ejpam-1243	223	29	three	three	NUM
ejpam-1243	223	30	-	-	PUNCT
ejpam-1243	223	31	phase	phase	NOUN
ejpam-1243	223	32	-	-	PUNCT
ejpam-1243	223	33	lag	lag	NOUN
ejpam-1243	223	34	model	model	NOUN
ejpam-1243	223	35	.	.	PUNCT
ejpam-1243	224	1	fig.4	fig.4	PROPN
ejpam-1243	224	2	depicts	depict	VERB
ejpam-1243	224	3	radial	radial	ADJ
ejpam-1243	224	4	variation	variation	NOUN
ejpam-1243	224	5	of	of	ADP
ejpam-1243	224	6	the	the	DET
ejpam-1243	224	7	temperature	temperature	NOUN
ejpam-1243	224	8	θ	θ	PROPN
ejpam-1243	224	9	for	for	ADP
ejpam-1243	224	10	fixed	fix	VERB
ejpam-1243	224	11	time	time	NOUN
ejpam-1243	224	12	η	η	PROPN
ejpam-1243	224	13	=	=	PROPN
ejpam-1243	224	14	.35	.35	PROPN
ejpam-1243	224	15	.	.	PUNCT
ejpam-1243	225	1	the	the	DET
ejpam-1243	225	2	boundary	boundary	ADJ
ejpam-1243	225	3	condition	condition	NOUN
ejpam-1243	225	4	is	be	AUX
ejpam-1243	225	5	satisfied	satisfied	ADJ
ejpam-1243	225	6	on	on	ADP
ejpam-1243	225	7	the	the	DET
ejpam-1243	225	8	outer	outer	ADJ
ejpam-1243	225	9	boundary	boundary	NOUN
ejpam-1243	225	10	.	.	PUNCT
ejpam-1243	226	1	it	it	PRON
ejpam-1243	226	2	is	be	AUX
ejpam-1243	226	3	also	also	ADV
ejpam-1243	226	4	observed	observe	VERB
ejpam-1243	226	5	that	that	SCONJ
ejpam-1243	226	6	the	the	DET
ejpam-1243	226	7	magnitude	magnitude	NOUN
ejpam-1243	226	8	of	of	ADP
ejpam-1243	226	9	each	each	DET
ejpam-1243	226	10	θ	θ	PROPN
ejpam-1243	226	11	is	be	AUX
ejpam-1243	226	12	large	large	ADJ
ejpam-1243	226	13	in	in	ADP
ejpam-1243	226	14	the	the	DET
ejpam-1243	226	15	case	case	NOUN
ejpam-1243	226	16	of	of	ADP
ejpam-1243	226	17	three	three	NUM
ejpam-1243	226	18	-	-	PUNCT
ejpam-1243	226	19	phase	phase	NOUN
ejpam-1243	226	20	-	-	PUNCT
ejpam-1243	226	21	lag	lag	NOUN
ejpam-1243	226	22	model	model	NOUN
ejpam-1243	226	23	in	in	ADP
ejpam-1243	226	24	comparison	comparison	NOUN
ejpam-1243	226	25	to	to	ADP
ejpam-1243	226	26	the	the	DET
ejpam-1243	226	27	gn	gn	PROPN
ejpam-1243	226	28	-	-	PUNCT
ejpam-1243	226	29	ii	ii	PROPN
ejpam-1243	226	30	model	model	NOUN
ejpam-1243	226	31	.	.	PUNCT
ejpam-1243	227	1	figs.5	figs.5	NOUN
ejpam-1243	227	2	-	-	PUNCT
ejpam-1243	227	3	6	6	NUM
ejpam-1243	227	4	show	show	VERB
ejpam-1243	227	5	the	the	DET
ejpam-1243	227	6	stresses	stress	NOUN
ejpam-1243	227	7	σr	σr	PROPN
ejpam-1243	227	8	and	and	CCONJ
ejpam-1243	227	9	σθ	σθ	PROPN
ejpam-1243	227	10	versus	versus	ADP
ejpam-1243	227	11	time	time	PROPN
ejpam-1243	227	12	η	η	PROPN
ejpam-1243	227	13	for	for	ADP
ejpam-1243	227	14	fixed	fix	VERB
ejpam-1243	227	15	r	r	NOUN
ejpam-1243	227	16	=	=	SYM
ejpam-1243	227	17	1.4	1.4	NUM
ejpam-1243	227	18	.	.	PUNCT
ejpam-1243	228	1	it	it	PRON
ejpam-1243	228	2	is	be	AUX
ejpam-1243	228	3	noticed	notice	VERB
ejpam-1243	228	4	that	that	SCONJ
ejpam-1243	228	5	when	when	SCONJ
ejpam-1243	228	6	the	the	DET
ejpam-1243	228	7	time	time	NOUN
ejpam-1243	228	8	is	be	AUX
ejpam-1243	228	9	small	small	ADJ
ejpam-1243	228	10	,	,	PUNCT
ejpam-1243	228	11	the	the	DET
ejpam-1243	228	12	magnitudes	magnitude	NOUN
ejpam-1243	228	13	of	of	ADP
ejpam-1243	228	14	both	both	CCONJ
ejpam-1243	228	15	the	the	DET
ejpam-1243	228	16	stresses	stress	NOUN
ejpam-1243	228	17	for	for	ADP
ejpam-1243	228	18	three	three	NUM
ejpam-1243	228	19	-	-	PUNCT
ejpam-1243	228	20	phase	phase	NOUN
ejpam-1243	228	21	-	-	PUNCT
ejpam-1243	228	22	lag	lag	NOUN
ejpam-1243	228	23	model	model	NOUN
ejpam-1243	228	24	are	be	AUX
ejpam-1243	228	25	large	large	ADJ
ejpam-1243	228	26	in	in	ADP
ejpam-1243	228	27	comparison	comparison	NOUN
ejpam-1243	228	28	with	with	ADP
ejpam-1243	228	29	those	those	PRON
ejpam-1243	228	30	of	of	ADP
ejpam-1243	228	31	the	the	DET
ejpam-1243	228	32	gn	gn	PROPN
ejpam-1243	228	33	-	-	PUNCT
ejpam-1243	228	34	ii	ii	PROPN
ejpam-1243	228	35	model	model	NOUN
ejpam-1243	228	36	.	.	PUNCT
ejpam-1243	229	1	the	the	DET
ejpam-1243	229	2	opposite	opposite	ADJ
ejpam-1243	229	3	behavior	behavior	NOUN
ejpam-1243	229	4	is	be	AUX
ejpam-1243	229	5	observed	observe	VERB
ejpam-1243	229	6	when	when	SCONJ
ejpam-1243	229	7	time	time	NOUN
ejpam-1243	229	8	increases	increase	VERB
ejpam-1243	229	9	.	.	PUNCT
ejpam-1243	230	1	this	this	PRON
ejpam-1243	230	2	is	be	AUX
ejpam-1243	230	3	due	due	ADJ
ejpam-1243	230	4	to	to	ADP
ejpam-1243	230	5	the	the	DET
ejpam-1243	230	6	fact	fact	NOUN
ejpam-1243	230	7	that	that	SCONJ
ejpam-1243	230	8	there	there	PRON
ejpam-1243	230	9	is	be	VERB
ejpam-1243	230	10	no	no	DET
ejpam-1243	230	11	energy	energy	NOUN
ejpam-1243	230	12	dissipation	dissipation	NOUN
ejpam-1243	230	13	term	term	NOUN
ejpam-1243	230	14	in	in	ADP
ejpam-1243	230	15	the	the	DET
ejpam-1243	230	16	gn	gn	PROPN
ejpam-1243	230	17	-	-	PUNCT
ejpam-1243	230	18	ii	ii	PROPN
ejpam-1243	230	19	model	model	NOUN
ejpam-1243	230	20	.	.	PUNCT
ejpam-1243	231	1	it	it	PRON
ejpam-1243	231	2	is	be	AUX
ejpam-1243	231	3	also	also	ADV
ejpam-1243	231	4	noticeable	noticeable	ADJ
ejpam-1243	231	5	that	that	SCONJ
ejpam-1243	231	6	as	as	SCONJ
ejpam-1243	231	7	time	time	NOUN
ejpam-1243	231	8	increases	increase	VERB
ejpam-1243	231	9	both	both	CCONJ
ejpam-1243	231	10	the	the	DET
ejpam-1243	231	11	stresses	stress	NOUN
ejpam-1243	231	12	change	change	VERB
ejpam-1243	231	13	their	their	PRON
ejpam-1243	231	14	sign	sign	NOUN
ejpam-1243	231	15	due	due	ADP
ejpam-1243	231	16	to	to	ADP
ejpam-1243	231	17	the	the	DET
ejpam-1243	231	18	reflection	reflection	NOUN
ejpam-1243	231	19	from	from	ADP
ejpam-1243	231	20	the	the	DET
ejpam-1243	231	21	outer	outer	ADJ
ejpam-1243	231	22	boundary	boundary	NOUN
ejpam-1243	231	23	.	.	PUNCT
ejpam-1243	232	1	fig.7	fig.7	ADV
ejpam-1243	232	2	is	be	AUX
ejpam-1243	232	3	plotted	plot	VERB
ejpam-1243	232	4	for	for	ADP
ejpam-1243	232	5	displacement	displacement	ADJ
ejpam-1243	232	6	u	u	NOUN
ejpam-1243	232	7	against	against	ADP
ejpam-1243	232	8	η	η	PROPN
ejpam-1243	232	9	for	for	ADP
ejpam-1243	232	10	r=	r=	ADJ
ejpam-1243	232	11	1.4	1.4	NUM
ejpam-1243	232	12	.	.	PUNCT
ejpam-1243	233	1	the	the	DET
ejpam-1243	233	2	magnitude	magnitude	NOUN
ejpam-1243	233	3	of	of	ADP
ejpam-1243	233	4	each	each	DET
ejpam-1243	233	5	displacement	displacement	NOUN
ejpam-1243	233	6	is	be	AUX
ejpam-1243	233	7	large	large	ADJ
ejpam-1243	233	8	for	for	ADP
ejpam-1243	233	9	the	the	DET
ejpam-1243	233	10	gn	gn	PROPN
ejpam-1243	233	11	-	-	PUNCT
ejpam-1243	233	12	ii	ii	PROPN
ejpam-1243	233	13	model	model	NOUN
ejpam-1243	233	14	in	in	ADP
ejpam-1243	233	15	comparison	comparison	NOUN
ejpam-1243	233	16	with	with	ADP
ejpam-1243	233	17	those	those	PRON
ejpam-1243	233	18	of	of	ADP
ejpam-1243	233	19	three	three	NUM
ejpam-1243	233	20	-	-	PUNCT
ejpam-1243	233	21	phase	phase	NOUN
ejpam-1243	233	22	-	-	PUNCT
ejpam-1243	233	23	lag	lag	NOUN
ejpam-1243	233	24	model	model	NOUN
ejpam-1243	233	25	.	.	PUNCT
ejpam-1243	234	1	fig.8	fig.8	PROPN
ejpam-1243	234	2	depicts	depict	VERB
ejpam-1243	234	3	the	the	DET
ejpam-1243	234	4	variation	variation	NOUN
ejpam-1243	234	5	of	of	ADP
ejpam-1243	234	6	temperature	temperature	NOUN
ejpam-1243	234	7	θ	θ	PROPN
ejpam-1243	234	8	versus	versus	ADP
ejpam-1243	234	9	time	time	PROPN
ejpam-1243	234	10	η	η	PROPN
ejpam-1243	234	11	for	for	ADP
ejpam-1243	234	12	r=	r=	ADJ
ejpam-1243	234	13	1.4	1.4	NUM
ejpam-1243	234	14	.	.	PUNCT
ejpam-1243	235	1	here	here	ADV
ejpam-1243	235	2	the	the	DET
ejpam-1243	235	3	magnitude	magnitude	NOUN
ejpam-1243	235	4	of	of	ADP
ejpam-1243	235	5	the	the	DET
ejpam-1243	235	6	temperature	temperature	NOUN
ejpam-1243	235	7	for	for	ADP
ejpam-1243	235	8	the	the	DET
ejpam-1243	235	9	gn	gn	PROPN
ejpam-1243	235	10	-	-	PUNCT
ejpam-1243	235	11	ii	ii	PROPN
ejpam-1243	235	12	model	model	NOUN
ejpam-1243	235	13	is	be	AUX
ejpam-1243	235	14	less	less	ADJ
ejpam-1243	235	15	in	in	ADP
ejpam-1243	235	16	0	0	NUM
ejpam-1243	235	17	≤	≤	NUM
ejpam-1243	235	18	η	η	PROPN
ejpam-1243	235	19	≤	≤	PROPN
ejpam-1243	235	20	.75	.75	NUM
ejpam-1243	235	21	and	and	CCONJ
ejpam-1243	235	22	1.8	1.8	NUM
ejpam-1243	235	23	≤	≤	NUM
ejpam-1243	235	24	η	η	PROPN
ejpam-1243	235	25	≤	≤	PROPN
ejpam-1243	235	26	3.67	3.67	NUM
ejpam-1243	235	27	in	in	ADP
ejpam-1243	235	28	comparison	comparison	NOUN
ejpam-1243	235	29	a.	a.	PROPN
ejpam-1243	235	30	kar	kar	PROPN
ejpam-1243	235	31	,	,	PUNCT
ejpam-1243	235	32	m.	m.	NOUN
ejpam-1243	235	33	kanoria	kanoria	PROPN
ejpam-1243	235	34	/	/	SYM
ejpam-1243	235	35	eur	eur	PROPN
ejpam-1243	235	36	.	.	PUNCT
ejpam-1243	236	1	j.	j.	PROPN
ejpam-1243	236	2	pure	pure	PROPN
ejpam-1243	236	3	appl	appl	PROPN
ejpam-1243	236	4	.	.	PROPN
ejpam-1243	236	5	math	math	PROPN
ejpam-1243	236	6	,	,	PUNCT
ejpam-1243	236	7	4	4	NUM
ejpam-1243	236	8	(	(	PUNCT
ejpam-1243	236	9	2011	2011	NUM
ejpam-1243	236	10	)	)	PUNCT
ejpam-1243	236	11	,	,	PUNCT
ejpam-1243	236	12	304	304	NUM
ejpam-1243	236	13	-	-	SYM
ejpam-1243	236	14	321	321	NUM
ejpam-1243	236	15	315	315	NUM
ejpam-1243	236	16	with	with	ADP
ejpam-1243	236	17	those	those	PRON
ejpam-1243	236	18	of	of	ADP
ejpam-1243	236	19	three	three	NUM
ejpam-1243	236	20	-	-	PUNCT
ejpam-1243	236	21	phase	phase	NOUN
ejpam-1243	236	22	-	-	PUNCT
ejpam-1243	236	23	lag	lag	NOUN
ejpam-1243	236	24	model	model	NOUN
ejpam-1243	236	25	,	,	PUNCT
ejpam-1243	236	26	whereas	whereas	SCONJ
ejpam-1243	236	27	,	,	PUNCT
ejpam-1243	236	28	in	in	ADP
ejpam-1243	236	29	the	the	DET
ejpam-1243	236	30	domain	domain	NOUN
ejpam-1243	236	31	.75	.75	NUM
ejpam-1243	236	32	<	<	X
ejpam-1243	236	33	η	η	X
ejpam-1243	236	34	<	<	X
ejpam-1243	236	35	1.8	1.8	NUM
ejpam-1243	236	36	,	,	PUNCT
ejpam-1243	236	37	the	the	DET
ejpam-1243	236	38	magnitude	magnitude	NOUN
ejpam-1243	236	39	of	of	ADP
ejpam-1243	236	40	the	the	DET
ejpam-1243	236	41	temperature	temperature	NOUN
ejpam-1243	236	42	for	for	ADP
ejpam-1243	236	43	the	the	DET
ejpam-1243	236	44	gn	gn	PROPN
ejpam-1243	236	45	-	-	PUNCT
ejpam-1243	236	46	ii	ii	PROPN
ejpam-1243	236	47	model	model	NOUN
ejpam-1243	236	48	is	be	AUX
ejpam-1243	236	49	large	large	ADJ
ejpam-1243	236	50	in	in	ADP
ejpam-1243	236	51	comparison	comparison	NOUN
ejpam-1243	236	52	to	to	ADP
ejpam-1243	236	53	that	that	DET
ejpam-1243	236	54	other	other	ADJ
ejpam-1243	236	55	model	model	NOUN
ejpam-1243	236	56	.	.	PUNCT
ejpam-1243	237	1	for	for	ADP
ejpam-1243	237	2	all	all	DET
ejpam-1243	237	3	the	the	DET
ejpam-1243	237	4	above	above	ADJ
ejpam-1243	237	5	numerical	numerical	ADJ
ejpam-1243	237	6	calculations	calculation	NOUN
ejpam-1243	237	7	fortran	fortran	NOUN
ejpam-1243	237	8	−	−	PROPN
ejpam-1243	237	9	77	77	NUM
ejpam-1243	237	10	programming	programming	NOUN
ejpam-1243	237	11	language	language	NOUN
ejpam-1243	237	12	has	have	AUX
ejpam-1243	237	13	been	be	AUX
ejpam-1243	237	14	used	use	VERB
ejpam-1243	237	15	.	.	PUNCT
ejpam-1243	238	1	figure	figure	VERB
ejpam-1243	238	2	1	1	NUM
ejpam-1243	238	3	:	:	PUNCT
ejpam-1243	238	4	radial	radial	ADJ
ejpam-1243	238	5	stress	stress	NOUN
ejpam-1243	238	6	vs	vs	ADP
ejpam-1243	238	7	r	r	NOUN
ejpam-1243	238	8	for	for	ADP
ejpam-1243	238	9	η=	η=	ADJ
ejpam-1243	238	10	0.35	0.35	NUM
ejpam-1243	238	11	.	.	PUNCT
ejpam-1243	239	1	figure	figure	NOUN
ejpam-1243	239	2	2	2	NUM
ejpam-1243	239	3	:	:	PUNCT
ejpam-1243	239	4	cir	cir	PROPN
ejpam-1243	239	5	umferential	umferential	ADJ
ejpam-1243	239	6	stress	stress	NOUN
ejpam-1243	239	7	vs	vs	ADP
ejpam-1243	239	8	r	r	NOUN
ejpam-1243	239	9	for	for	ADP
ejpam-1243	239	10	η	η	NOUN
ejpam-1243	239	11	=	=	PROPN
ejpam-1243	239	12	0.35	0.35	NUM
ejpam-1243	239	13	.	.	PUNCT
ejpam-1243	240	1	figure	figure	NOUN
ejpam-1243	240	2	3	3	NUM
ejpam-1243	240	3	:	:	PUNCT
ejpam-1243	240	4	radial	radial	ADJ
ejpam-1243	240	5	displa	displa	NOUN
ejpam-1243	240	6	ement	ement	NOUN
ejpam-1243	240	7	vs	vs	ADP
ejpam-1243	240	8	r	r	NOUN
ejpam-1243	240	9	for	for	ADP
ejpam-1243	240	10	η	η	NOUN
ejpam-1243	240	11	=	=	PROPN
ejpam-1243	240	12	0.35	0.35	NUM
ejpam-1243	240	13	.	.	PUNCT
ejpam-1243	241	1	a.	a.	PROPN
ejpam-1243	241	2	kar	kar	PROPN
ejpam-1243	241	3	,	,	PUNCT
ejpam-1243	241	4	m.	m.	NOUN
ejpam-1243	241	5	kanoria	kanoria	PROPN
ejpam-1243	241	6	/	/	SYM
ejpam-1243	241	7	eur	eur	PROPN
ejpam-1243	241	8	.	.	PUNCT
ejpam-1243	242	1	j.	j.	PROPN
ejpam-1243	242	2	pure	pure	PROPN
ejpam-1243	242	3	appl	appl	PROPN
ejpam-1243	242	4	.	.	PROPN
ejpam-1243	242	5	math	math	PROPN
ejpam-1243	242	6	,	,	PUNCT
ejpam-1243	242	7	4	4	NUM
ejpam-1243	242	8	(	(	PUNCT
ejpam-1243	242	9	2011	2011	NUM
ejpam-1243	242	10	)	)	PUNCT
ejpam-1243	242	11	,	,	PUNCT
ejpam-1243	242	12	304	304	NUM
ejpam-1243	242	13	-	-	SYM
ejpam-1243	242	14	321	321	NUM
ejpam-1243	242	15	316	316	NUM
ejpam-1243	242	16	figure	figure	NOUN
ejpam-1243	242	17	4	4	NUM
ejpam-1243	242	18	:	:	PUNCT
ejpam-1243	242	19	variation	variation	NOUN
ejpam-1243	242	20	of	of	ADP
ejpam-1243	242	21	temperature	temperature	NOUN
ejpam-1243	242	22	vs	vs	ADP
ejpam-1243	242	23	r	r	NOUN
ejpam-1243	242	24	for	for	ADP
ejpam-1243	242	25	η	η	NOUN
ejpam-1243	242	26	=	=	PROPN
ejpam-1243	242	27	0.35	0.35	NUM
ejpam-1243	242	28	.	.	PUNCT
ejpam-1243	243	1	figure	figure	NOUN
ejpam-1243	243	2	5	5	NUM
ejpam-1243	243	3	:	:	PUNCT
ejpam-1243	243	4	radial	radial	ADJ
ejpam-1243	243	5	stress	stress	NOUN
ejpam-1243	243	6	vs	vs	ADP
ejpam-1243	243	7	time	time	NOUN
ejpam-1243	243	8	for	for	ADP
ejpam-1243	243	9	r=	r=	ADJ
ejpam-1243	243	10	1.4	1.4	NUM
ejpam-1243	243	11	.	.	PUNCT
ejpam-1243	244	1	figure	figure	VERB
ejpam-1243	244	2	6	6	NUM
ejpam-1243	244	3	:	:	PUNCT
ejpam-1243	244	4	cir	cir	PROPN
ejpam-1243	244	5	umferential	umferential	ADJ
ejpam-1243	244	6	stress	stress	NOUN
ejpam-1243	244	7	vs	vs	ADP
ejpam-1243	244	8	time	time	NOUN
ejpam-1243	244	9	for	for	ADP
ejpam-1243	244	10	r=	r=	ADJ
ejpam-1243	244	11	1.4	1.4	NUM
ejpam-1243	244	12	.	.	PUNCT
ejpam-1243	245	1	references	reference	NOUN
ejpam-1243	245	2	317	317	NUM
ejpam-1243	245	3	figure	figure	NOUN
ejpam-1243	245	4	7	7	NUM
ejpam-1243	245	5	:	:	PUNCT
ejpam-1243	245	6	displa	displa	NOUN
ejpam-1243	245	7	ement	ement	NOUN
ejpam-1243	245	8	vs	vs	ADP
ejpam-1243	245	9	time	time	NOUN
ejpam-1243	245	10	for	for	ADP
ejpam-1243	245	11	r=	r=	ADJ
ejpam-1243	245	12	1.4	1.4	NUM
ejpam-1243	245	13	.	.	PUNCT
ejpam-1243	246	1	figure	figure	NOUN
ejpam-1243	246	2	8	8	NUM
ejpam-1243	246	3	:	:	PUNCT
ejpam-1243	246	4	temperature	temperature	NOUN
ejpam-1243	246	5	vs	vs	ADP
ejpam-1243	246	6	time	time	NOUN
ejpam-1243	246	7	for	for	ADP
ejpam-1243	246	8	r=	r=	ADJ
ejpam-1243	246	9	1.4	1.4	NUM
ejpam-1243	246	10	.	.	PUNCT
ejpam-1243	247	1	acknowledgement	acknowledgement	NOUN
ejpam-1243	247	2	.	.	PUNCT
ejpam-1243	248	1	we	we	PRON
ejpam-1243	248	2	are	be	AUX
ejpam-1243	248	3	grateful	grateful	ADJ
ejpam-1243	248	4	to	to	PART
ejpam-1243	248	5	prof	prof	PROPN
ejpam-1243	248	6	.	.	PUNCT
ejpam-1243	249	1	s.c	s.c	PROPN
ejpam-1243	249	2	.	.	PROPN
ejpam-1243	249	3	bose	bose	NOUN
ejpam-1243	249	4	of	of	ADP
ejpam-1243	249	5	the	the	DET
ejpam-1243	249	6	department	department	NOUN
ejpam-1243	249	7	of	of	ADP
ejpam-1243	249	8	applied	apply	VERB
ejpam-1243	249	9	mathematics	mathematic	NOUN
ejpam-1243	249	10	,	,	PUNCT
ejpam-1243	249	11	university	university	NOUN
ejpam-1243	249	12	of	of	ADP
ejpam-1243	249	13	calcutta	calcutta	NOUN
ejpam-1243	249	14	,	,	PUNCT
ejpam-1243	249	15	for	for	ADP
ejpam-1243	249	16	his	his	PRON
ejpam-1243	249	17	kind	kind	ADJ
ejpam-1243	249	18	help	help	NOUN
ejpam-1243	249	19	and	and	CCONJ
ejpam-1243	249	20	guidance	guidance	VERB
ejpam-1243	249	21	in	in	ADP
ejpam-1243	249	22	the	the	DET
ejpam-1243	249	23	preparation	preparation	NOUN
ejpam-1243	249	24	of	of	ADP
ejpam-1243	249	25	the	the	DET
ejpam-1243	249	26	paper	paper	NOUN
ejpam-1243	249	27	.	.	PUNCT
ejpam-1243	250	1	references	reference	NOUN
ejpam-1243	250	2	[	[	X
ejpam-1243	250	3	1	1	X
ejpam-1243	250	4	]	]	PUNCT
ejpam-1243	250	5	a	a	DET
ejpam-1243	250	6	bagri	bagri	NOUN
ejpam-1243	250	7	,	,	PUNCT
ejpam-1243	250	8	m	m	VERB
ejpam-1243	250	9	eslami	eslami	ADJ
ejpam-1243	250	10	.	.	PUNCT
ejpam-1243	251	1	generalized	generalize	VERB
ejpam-1243	251	2	coupled	couple	VERB
ejpam-1243	251	3	themoelasticity	themoelasticity	NOUN
ejpam-1243	251	4	of	of	ADP
ejpam-1243	251	5	disks	disk	NOUN
ejpam-1243	251	6	based	base	VERB
ejpam-1243	251	7	on	on	ADP
ejpam-1243	251	8	lord	lord	PROPN
ejpam-1243	251	9	-	-	PUNCT
ejpam-1243	251	10	shulman	shulman	PROPN
ejpam-1243	251	11	model	model	PROPN
ejpam-1243	251	12	,	,	PUNCT
ejpam-1243	251	13	j.	j.	PROPN
ejpam-1243	251	14	thermal	thermal	PROPN
ejpam-1243	251	15	stresses	stress	NOUN
ejpam-1243	251	16	,	,	PUNCT
ejpam-1243	251	17	27	27	NUM
ejpam-1243	251	18	(	(	PUNCT
ejpam-1243	251	19	2004	2004	NUM
ejpam-1243	251	20	)	)	PUNCT
ejpam-1243	251	21	691	691	NUM
ejpam-1243	251	22	-	-	SYM
ejpam-1243	251	23	704	704	NUM
ejpam-1243	251	24	.	.	PUNCT
ejpam-1243	252	1	[	[	X
ejpam-1243	252	2	2	2	X
ejpam-1243	252	3	]	]	PUNCT
ejpam-1243	252	4	a	a	DET
ejpam-1243	252	5	bagri	bagri	NOUN
ejpam-1243	252	6	,	,	PUNCT
ejpam-1243	252	7	m	m	VERB
ejpam-1243	252	8	eslami	eslami	ADJ
ejpam-1243	252	9	.	.	PUNCT
ejpam-1243	253	1	analysis	analysis	NOUN
ejpam-1243	253	2	of	of	ADP
ejpam-1243	253	3	thermoelastic	thermoelastic	ADJ
ejpam-1243	253	4	waves	wave	NOUN
ejpam-1243	253	5	in	in	ADP
ejpam-1243	253	6	functionally	functionally	ADV
ejpam-1243	253	7	graded	grade	VERB
ejpam-1243	253	8	hollow	hollow	ADJ
ejpam-1243	253	9	spheres	sphere	NOUN
ejpam-1243	253	10	based	base	VERB
ejpam-1243	253	11	on	on	ADP
ejpam-1243	253	12	the	the	DET
ejpam-1243	253	13	green	green	ADJ
ejpam-1243	253	14	-	-	PUNCT
ejpam-1243	253	15	lindsay	lindsay	PROPN
ejpam-1243	253	16	theory	theory	NOUN
ejpam-1243	253	17	,	,	PUNCT
ejpam-1243	253	18	j.	j.	PROPN
ejpam-1243	253	19	thermal	thermal	PROPN
ejpam-1243	253	20	stresses	stress	NOUN
ejpam-1243	253	21	,	,	PUNCT
ejpam-1243	253	22	30	30	NUM
ejpam-1243	253	23	(	(	PUNCT
ejpam-1243	253	24	2007	2007	NUM
ejpam-1243	253	25	)	)	PUNCT
ejpam-1243	253	26	1175	1175	NUM
ejpam-1243	253	27	-	-	SYM
ejpam-1243	253	28	1193	1193	NUM
ejpam-1243	253	29	.	.	PUNCT
ejpam-1243	254	1	[	[	X
ejpam-1243	254	2	3	3	X
ejpam-1243	254	3	]	]	X
ejpam-1243	254	4	a	a	DET
ejpam-1243	254	5	bagri	bagri	NOUN
ejpam-1243	254	6	,	,	PUNCT
ejpam-1243	254	7	m	m	VERB
ejpam-1243	254	8	eslami	eslami	ADJ
ejpam-1243	254	9	.	.	PUNCT
ejpam-1243	255	1	a	a	DET
ejpam-1243	255	2	unifed	unifed	ADJ
ejpam-1243	255	3	generalized	generalize	VERB
ejpam-1243	255	4	themoelasticity	themoelasticity	NOUN
ejpam-1243	255	5	formulation	formulation	NOUN
ejpam-1243	255	6	;	;	PUNCT
ejpam-1243	255	7	application	application	NOUN
ejpam-1243	255	8	to	to	PART
ejpam-1243	255	9	thick	thick	ADJ
ejpam-1243	255	10	functionally	functionally	ADV
ejpam-1243	255	11	graded	grade	VERB
ejpam-1243	255	12	cylinders	cylinder	NOUN
ejpam-1243	255	13	,	,	PUNCT
ejpam-1243	255	14	j.	j.	PROPN
ejpam-1243	255	15	thermal	thermal	PROPN
ejpam-1243	255	16	stresses	stress	NOUN
ejpam-1243	255	17	,	,	PUNCT
ejpam-1243	255	18	30	30	NUM
ejpam-1243	255	19	,	,	PUNCT
ejpam-1243	255	20	911	911	NUM
ejpam-1243	255	21	-	-	SYM
ejpam-1243	255	22	930	930	NUM
ejpam-1243	255	23	.	.	PUNCT
ejpam-1243	255	24	2007	2007	NUM
ejpam-1243	255	25	.	.	PUNCT
ejpam-1243	256	1	[	[	X
ejpam-1243	256	2	4	4	NUM
ejpam-1243	256	3	]	]	X
ejpam-1243	256	4	r	r	NOUN
ejpam-1243	256	5	bellman	bellman	NOUN
ejpam-1243	256	6	,	,	PUNCT
ejpam-1243	256	7	r	r	NOUN
ejpam-1243	256	8	kolaba	kolaba	NOUN
ejpam-1243	256	9	.	.	PUNCT
ejpam-1243	257	1	j	j	PROPN
ejpam-1243	257	2	lockette	lockette	PROPN
ejpam-1243	257	3	,	,	PUNCT
ejpam-1243	257	4	numerical	numerical	ADJ
ejpam-1243	257	5	inversion	inversion	NOUN
ejpam-1243	257	6	of	of	ADP
ejpam-1243	257	7	the	the	DET
ejpam-1243	257	8	laplace	laplace	NOUN
ejpam-1243	257	9	transform	transform	NOUN
ejpam-1243	257	10	,	,	PUNCT
ejpam-1243	257	11	american	american	PROPN
ejpam-1243	257	12	elsevier	elsevier	PROPN
ejpam-1243	257	13	pub	pub	PROPN
ejpam-1243	257	14	.	.	PUNCT
ejpam-1243	258	1	co.	co.	PROPN
ejpam-1243	258	2	,	,	PUNCT
ejpam-1243	258	3	new	new	PROPN
ejpam-1243	258	4	york	york	PROPN
ejpam-1243	258	5	,	,	PUNCT
ejpam-1243	258	6	1966	1966	NUM
ejpam-1243	258	7	.	.	PUNCT
ejpam-1243	259	1	references	reference	NOUN
ejpam-1243	259	2	318	318	NUM
ejpam-1243	259	3	[	[	X
ejpam-1243	259	4	5	5	NUM
ejpam-1243	259	5	]	]	PUNCT
ejpam-1243	259	6	d	d	PRON
ejpam-1243	259	7	chandrasekharaiah	chandrasekharaiah	NOUN
ejpam-1243	259	8	.	.	PUNCT
ejpam-1243	260	1	thermoelastic	thermoelastic	ADJ
ejpam-1243	260	2	plane	plane	NOUN
ejpam-1243	260	3	waves	wave	NOUN
ejpam-1243	260	4	without	without	ADP
ejpam-1243	260	5	energy	energy	NOUN
ejpam-1243	260	6	dissipation	dissipation	NOUN
ejpam-1243	260	7	,	,	PUNCT
ejpam-1243	260	8	mech	mech	NOUN
ejpam-1243	260	9	.	.	PUNCT
ejpam-1243	261	1	res	re	NOUN
ejpam-1243	261	2	.	.	PROPN
ejpam-1243	261	3	comm	comm	NOUN
ejpam-1243	261	4	.	.	PUNCT
ejpam-1243	261	5	,	,	PUNCT
ejpam-1243	261	6	23	23	NUM
ejpam-1243	261	7	(	(	PUNCT
ejpam-1243	261	8	1996	1996	NUM
ejpam-1243	261	9	)	)	PUNCT
ejpam-1243	261	10	549	549	NUM
ejpam-1243	261	11	-	-	SYM
ejpam-1243	261	12	555	555	NUM
ejpam-1243	261	13	.	.	PUNCT
ejpam-1243	262	1	[	[	X
ejpam-1243	262	2	6	6	NUM
ejpam-1243	262	3	]	]	PUNCT
ejpam-1243	262	4	d	d	PRON
ejpam-1243	262	5	chandrasekharaiah	chandrasekharaiah	NOUN
ejpam-1243	262	6	.	.	PUNCT
ejpam-1243	263	1	a	a	DET
ejpam-1243	263	2	note	note	NOUN
ejpam-1243	263	3	on	on	ADP
ejpam-1243	263	4	the	the	DET
ejpam-1243	263	5	uniqueness	uniqueness	NOUN
ejpam-1243	263	6	of	of	ADP
ejpam-1243	263	7	solution	solution	NOUN
ejpam-1243	263	8	in	in	ADP
ejpam-1243	263	9	the	the	DET
ejpam-1243	263	10	linear	linear	PROPN
ejpam-1243	263	11	theory	theory	NOUN
ejpam-1243	263	12	of	of	ADP
ejpam-1243	263	13	thermoelasticity	thermoelasticity	NOUN
ejpam-1243	263	14	without	without	ADP
ejpam-1243	263	15	energy	energy	NOUN
ejpam-1243	263	16	dissipation	dissipation	NOUN
ejpam-1243	263	17	,	,	PUNCT
ejpam-1243	263	18	j.	j.	PROPN
ejpam-1243	263	19	elasticity	elasticity	PROPN
ejpam-1243	263	20	,	,	PUNCT
ejpam-1243	263	21	43	43	NUM
ejpam-1243	263	22	(	(	PUNCT
ejpam-1243	263	23	1996	1996	NUM
ejpam-1243	263	24	)	)	PUNCT
ejpam-1243	263	25	279	279	NUM
ejpam-1243	263	26	-	-	SYM
ejpam-1243	263	27	283	283	NUM
ejpam-1243	263	28	.	.	PUNCT
ejpam-1243	264	1	[	[	X
ejpam-1243	264	2	7	7	X
ejpam-1243	264	3	]	]	X
ejpam-1243	264	4	d	d	PRON
ejpam-1243	264	5	chandrasekharaiah	chandrasekharaiah	NOUN
ejpam-1243	264	6	.	.	PUNCT
ejpam-1243	265	1	hyperbolic	hyperbolic	ADJ
ejpam-1243	265	2	thermoelasticity	thermoelasticity	NOUN
ejpam-1243	265	3	:	:	PUNCT
ejpam-1243	265	4	a	a	DET
ejpam-1243	265	5	review	review	NOUN
ejpam-1243	265	6	of	of	ADP
ejpam-1243	265	7	recent	recent	ADJ
ejpam-1243	265	8	literature	literature	NOUN
ejpam-1243	265	9	,	,	PUNCT
ejpam-1243	265	10	appl	appl	PROPN
ejpam-1243	265	11	.	.	PROPN
ejpam-1243	265	12	mech	mech	PROPN
ejpam-1243	265	13	.	.	PUNCT
ejpam-1243	266	1	rev	rev	PROPN
ejpam-1243	266	2	.	.	PROPN
ejpam-1243	266	3	,	,	PUNCT
ejpam-1243	266	4	51	51	NUM
ejpam-1243	266	5	(	(	PUNCT
ejpam-1243	266	6	1998	1998	NUM
ejpam-1243	266	7	)	)	PUNCT
ejpam-1243	266	8	,	,	PUNCT
ejpam-1243	266	9	8	8	NUM
ejpam-1243	266	10	-	-	SYM
ejpam-1243	266	11	16	16	NUM
ejpam-1243	266	12	.	.	PUNCT
ejpam-1243	267	1	[	[	X
ejpam-1243	267	2	8	8	NUM
ejpam-1243	267	3	]	]	PUNCT
ejpam-1243	267	4	n	n	DET
ejpam-1243	267	5	das	das	PROPN
ejpam-1243	267	6	,	,	PUNCT
ejpam-1243	267	7	a	a	DET
ejpam-1243	267	8	lahiri	lahiri	NOUN
ejpam-1243	267	9	.	.	PUNCT
ejpam-1243	268	1	thermoelastic	thermoelastic	ADJ
ejpam-1243	268	2	interactions	interaction	NOUN
ejpam-1243	268	3	due	due	ADP
ejpam-1243	268	4	to	to	ADP
ejpam-1243	268	5	prescribed	prescribe	VERB
ejpam-1243	268	6	pressure	pressure	NOUN
ejpam-1243	268	7	inside	inside	ADP
ejpam-1243	268	8	a	a	DET
ejpam-1243	268	9	spherical	spherical	ADJ
ejpam-1243	268	10	cavity	cavity	NOUN
ejpam-1243	268	11	in	in	ADP
ejpam-1243	268	12	an	an	DET
ejpam-1243	268	13	unbounded	unbounded	ADJ
ejpam-1243	268	14	medium	medium	NOUN
ejpam-1243	268	15	,	,	PUNCT
ejpam-1243	268	16	int	int	NOUN
ejpam-1243	268	17	.	.	PUNCT
ejpam-1243	269	1	j.	j.	PROPN
ejpam-1243	269	2	pure	pure	PROPN
ejpam-1243	269	3	and	and	CCONJ
ejpam-1243	269	4	appl	appl	PROPN
ejpam-1243	269	5	.	.	PROPN
ejpam-1243	269	6	math	math	NOUN
ejpam-1243	269	7	.	.	PUNCT
ejpam-1243	270	1	31	31	NUM
ejpam-1243	270	2	(	(	PUNCT
ejpam-1243	270	3	2000	2000	NUM
ejpam-1243	270	4	)	)	PUNCT
ejpam-1243	270	5	19	19	NUM
ejpam-1243	270	6	-	-	SYM
ejpam-1243	270	7	32	32	NUM
ejpam-1243	270	8	.	.	PUNCT
ejpam-1243	271	1	[	[	X
ejpam-1243	271	2	9	9	NUM
ejpam-1243	271	3	]	]	X
ejpam-1243	271	4	r	r	NOUN
ejpam-1243	271	5	dhaliwal	dhaliwal	PROPN
ejpam-1243	271	6	,	,	PUNCT
ejpam-1243	271	7	a	a	DET
ejpam-1243	271	8	singh	singh	NOUN
ejpam-1243	271	9	.	.	PUNCT
ejpam-1243	272	1	dynamic	dynamic	ADJ
ejpam-1243	272	2	coupled	couple	VERB
ejpam-1243	272	3	thermoelasticity	thermoelasticity	NOUN
ejpam-1243	272	4	,	,	PUNCT
ejpam-1243	272	5	hindustan	hindustan	PROPN
ejpam-1243	272	6	publication	publication	NOUN
ejpam-1243	272	7	,	,	PUNCT
ejpam-1243	272	8	1980	1980	NUM
ejpam-1243	272	9	.	.	PUNCT
ejpam-1243	273	1	[	[	X
ejpam-1243	273	2	10	10	NUM
ejpam-1243	273	3	]	]	X
ejpam-1243	273	4	m	m	PROPN
ejpam-1243	273	5	ghosh	ghosh	PROPN
ejpam-1243	273	6	,	,	PUNCT
ejpam-1243	273	7	m	m	PROPN
ejpam-1243	273	8	kanoria	kanoria	PROPN
ejpam-1243	273	9	.	.	PUNCT
ejpam-1243	274	1	generalized	generalize	VERB
ejpam-1243	274	2	thermoelastic	thermoelastic	ADJ
ejpam-1243	274	3	problem	problem	NOUN
ejpam-1243	274	4	of	of	ADP
ejpam-1243	274	5	a	a	DET
ejpam-1243	274	6	spherically	spherically	NOUN
ejpam-1243	274	7	isotropic	isotropic	ADJ
ejpam-1243	274	8	elastic	elastic	ADJ
ejpam-1243	274	9	medium	medium	NOUN
ejpam-1243	274	10	containing	contain	VERB
ejpam-1243	274	11	a	a	DET
ejpam-1243	274	12	spherical	spherical	ADJ
ejpam-1243	274	13	cavity	cavity	NOUN
ejpam-1243	274	14	,	,	PUNCT
ejpam-1243	274	15	j.	j.	PROPN
ejpam-1243	274	16	thermal	thermal	PROPN
ejpam-1243	274	17	stresses	stress	NOUN
ejpam-1243	274	18	,	,	PUNCT
ejpam-1243	274	19	31	31	NUM
ejpam-1243	274	20	,	,	PUNCT
ejpam-1243	274	21	969	969	NUM
ejpam-1243	274	22	-	-	SYM
ejpam-1243	274	23	981	981	NUM
ejpam-1243	274	24	.	.	PUNCT
ejpam-1243	274	25	2008	2008	NUM
ejpam-1243	274	26	.	.	PUNCT
ejpam-1243	275	1	[	[	X
ejpam-1243	275	2	11	11	NUM
ejpam-1243	275	3	]	]	X
ejpam-1243	275	4	m	m	PROPN
ejpam-1243	275	5	ghosh	ghosh	PROPN
ejpam-1243	275	6	,	,	PUNCT
ejpam-1243	275	7	m	m	PROPN
ejpam-1243	275	8	kanoria	kanoria	PROPN
ejpam-1243	275	9	.	.	PUNCT
ejpam-1243	276	1	analysis	analysis	NOUN
ejpam-1243	276	2	of	of	ADP
ejpam-1243	276	3	thermoelastic	thermoelastic	ADJ
ejpam-1243	276	4	response	response	NOUN
ejpam-1243	276	5	in	in	ADP
ejpam-1243	276	6	functionally	functionally	ADV
ejpam-1243	276	7	graded	grade	VERB
ejpam-1243	276	8	spherically	spherically	NOUN
ejpam-1243	276	9	isotropic	isotropic	VERB
ejpam-1243	276	10	hollow	hollow	ADJ
ejpam-1243	276	11	sphere	sphere	NOUN
ejpam-1243	276	12	based	base	VERB
ejpam-1243	276	13	on	on	ADP
ejpam-1243	276	14	green	green	PROPN
ejpam-1243	276	15	lindsay	lindsay	PROPN
ejpam-1243	276	16	theory	theory	PROPN
ejpam-1243	276	17	,	,	PUNCT
ejpam-1243	276	18	acta	acta	PROPN
ejpam-1243	276	19	mech	mech	PROPN
ejpam-1243	276	20	.	.	PROPN
ejpam-1243	276	21	,	,	PUNCT
ejpam-1243	276	22	207	207	NUM
ejpam-1243	276	23	,	,	PUNCT
ejpam-1243	276	24	51	51	NUM
ejpam-1243	276	25	-	-	SYM
ejpam-1243	276	26	67	67	NUM
ejpam-1243	276	27	.	.	PUNCT
ejpam-1243	276	28	2009	2009	NUM
ejpam-1243	276	29	.	.	PUNCT
ejpam-1243	277	1	[	[	X
ejpam-1243	277	2	12	12	NUM
ejpam-1243	277	3	]	]	PUNCT
ejpam-1243	277	4	a	a	DET
ejpam-1243	277	5	green	green	NOUN
ejpam-1243	277	6	,	,	PUNCT
ejpam-1243	277	7	k	k	PROPN
ejpam-1243	277	8	lindsay	lindsay	PROPN
ejpam-1243	277	9	.	.	PUNCT
ejpam-1243	278	1	thermoelasticity	thermoelasticity	NOUN
ejpam-1243	278	2	,	,	PUNCT
ejpam-1243	278	3	j.	j.	PROPN
ejpam-1243	278	4	elast	elast	PROPN
ejpam-1243	278	5	.	.	PUNCT
ejpam-1243	279	1	2	2	NUM
ejpam-1243	279	2	,	,	PUNCT
ejpam-1243	279	3	1	1	NUM
ejpam-1243	279	4	-	-	SYM
ejpam-1243	279	5	7.1972	7.1972	NUM
ejpam-1243	279	6	.	.	PUNCT
ejpam-1243	280	1	[	[	X
ejpam-1243	280	2	13	13	NUM
ejpam-1243	280	3	]	]	PUNCT
ejpam-1243	280	4	a	a	DET
ejpam-1243	280	5	green	green	NOUN
ejpam-1243	280	6	,	,	PUNCT
ejpam-1243	280	7	p	p	NOUN
ejpam-1243	280	8	naghdi	naghdi	NOUN
ejpam-1243	280	9	.	.	PUNCT
ejpam-1243	281	1	a	a	DET
ejpam-1243	281	2	re	re	NOUN
ejpam-1243	281	3	-	-	NOUN
ejpam-1243	281	4	examination	examination	NOUN
ejpam-1243	281	5	of	of	ADP
ejpam-1243	281	6	the	the	DET
ejpam-1243	281	7	basic	basic	ADJ
ejpam-1243	281	8	postulate	postulate	NOUN
ejpam-1243	281	9	of	of	ADP
ejpam-1243	281	10	thermo	thermo	NOUN
ejpam-1243	281	11	-	-	PUNCT
ejpam-1243	281	12	mechanics	mechanic	NOUN
ejpam-1243	281	13	,	,	PUNCT
ejpam-1243	281	14	proc	proc	NOUN
ejpam-1243	281	15	.	.	PUNCT
ejpam-1243	282	1	roy	roy	PROPN
ejpam-1243	282	2	.	.	PROPN
ejpam-1243	282	3	soc	soc	PROPN
ejpam-1243	282	4	.	.	PUNCT
ejpam-1243	283	1	london	london	PROPN
ejpam-1243	283	2	,	,	PUNCT
ejpam-1243	283	3	432	432	NUM
ejpam-1243	283	4	,	,	PUNCT
ejpam-1243	283	5	171	171	NUM
ejpam-1243	283	6	-	-	SYM
ejpam-1243	283	7	194	194	NUM
ejpam-1243	283	8	.	.	PUNCT
ejpam-1243	283	9	1991	1991	NUM
ejpam-1243	283	10	.	.	PUNCT
ejpam-1243	284	1	[	[	X
ejpam-1243	284	2	14	14	NUM
ejpam-1243	284	3	]	]	X
ejpam-1243	284	4	a	a	DET
ejpam-1243	284	5	green	green	NOUN
ejpam-1243	284	6	,	,	PUNCT
ejpam-1243	284	7	p	p	NOUN
ejpam-1243	284	8	naghdi	naghdi	NOUN
ejpam-1243	284	9	.	.	PUNCT
ejpam-1243	285	1	an	an	DET
ejpam-1243	285	2	unbounded	unbounded	ADJ
ejpam-1243	285	3	heat	heat	NOUN
ejpam-1243	285	4	wave	wave	NOUN
ejpam-1243	285	5	in	in	ADP
ejpam-1243	285	6	an	an	DET
ejpam-1243	285	7	elastic	elastic	ADJ
ejpam-1243	285	8	solid	solid	NOUN
ejpam-1243	285	9	,	,	PUNCT
ejpam-1243	285	10	j.	j.	PROPN
ejpam-1243	285	11	thermal	thermal	PROPN
ejpam-1243	285	12	stresses	stress	NOUN
ejpam-1243	285	13	,	,	PUNCT
ejpam-1243	285	14	15	15	NUM
ejpam-1243	285	15	,	,	PUNCT
ejpam-1243	285	16	253	253	NUM
ejpam-1243	285	17	-	-	SYM
ejpam-1243	285	18	264	264	NUM
ejpam-1243	285	19	.	.	NOUN
ejpam-1243	285	20	1992	1992	NUM
ejpam-1243	285	21	.	.	PUNCT
ejpam-1243	286	1	[	[	X
ejpam-1243	286	2	15	15	NUM
ejpam-1243	286	3	]	]	X
ejpam-1243	286	4	a	a	DET
ejpam-1243	286	5	green	green	NOUN
ejpam-1243	286	6	,	,	PUNCT
ejpam-1243	286	7	p	p	PROPN
ejpam-1243	286	8	naghdi	naghdi	NOUN
ejpam-1243	286	9	.	.	PUNCT
ejpam-1243	286	10	thermoelasticity	thermoelasticity	NOUN
ejpam-1243	286	11	without	without	ADP
ejpam-1243	286	12	energy	energy	NOUN
ejpam-1243	286	13	dissipation	dissipation	NOUN
ejpam-1243	286	14	,	,	PUNCT
ejpam-1243	286	15	j.	j.	PROPN
ejpam-1243	286	16	elasticity	elasticity	PROPN
ejpam-1243	286	17	,	,	PUNCT
ejpam-1243	286	18	31	31	NUM
ejpam-1243	286	19	,	,	PUNCT
ejpam-1243	286	20	189	189	NUM
ejpam-1243	286	21	-	-	SYM
ejpam-1243	286	22	208	208	NUM
ejpam-1243	286	23	.	.	PUNCT
ejpam-1243	286	24	1993	1993	NUM
ejpam-1243	286	25	.	.	PUNCT
ejpam-1243	287	1	[	[	X
ejpam-1243	287	2	16	16	NUM
ejpam-1243	287	3	]	]	X
ejpam-1243	287	4	r	r	NOUN
ejpam-1243	287	5	hetnarski	hetnarski	NOUN
ejpam-1243	287	6	,	,	PUNCT
ejpam-1243	287	7	j	j	PROPN
ejpam-1243	287	8	ignaczak	ignaczak	NOUN
ejpam-1243	287	9	.	.	PUNCT
ejpam-1243	288	1	generalized	generalized	ADJ
ejpam-1243	288	2	thermoelasticity	thermoelasticity	NOUN
ejpam-1243	288	3	:	:	PUNCT
ejpam-1243	288	4	response	response	NOUN
ejpam-1243	288	5	of	of	ADP
ejpam-1243	288	6	semi	semi	ADJ
ejpam-1243	288	7	-	-	NOUN
ejpam-1243	288	8	space	space	NOUN
ejpam-1243	288	9	to	to	ADP
ejpam-1243	288	10	a	a	DET
ejpam-1243	288	11	short	short	ADJ
ejpam-1243	288	12	laser	laser	NOUN
ejpam-1243	288	13	pulse	pulse	NOUN
ejpam-1243	288	14	,	,	PUNCT
ejpam-1243	288	15	j.	j.	PROPN
ejpam-1243	288	16	thermal	thermal	PROPN
ejpam-1243	288	17	stresses	stress	NOUN
ejpam-1243	288	18	,	,	PUNCT
ejpam-1243	288	19	17	17	NUM
ejpam-1243	288	20	,	,	PUNCT
ejpam-1243	288	21	377	377	NUM
ejpam-1243	288	22	-	-	SYM
ejpam-1243	288	23	396	396	NUM
ejpam-1243	288	24	.	.	PUNCT
ejpam-1243	288	25	1994	1994	NUM
ejpam-1243	288	26	.	.	PUNCT
ejpam-1243	289	1	[	[	X
ejpam-1243	289	2	17	17	NUM
ejpam-1243	289	3	]	]	PUNCT
ejpam-1243	289	4	a	a	DET
ejpam-1243	289	5	kar	kar	PROPN
ejpam-1243	289	6	,	,	PUNCT
ejpam-1243	289	7	m	m	PROPN
ejpam-1243	289	8	kanoria	kanoria	PROPN
ejpam-1243	289	9	.	.	PUNCT
ejpam-1243	290	1	thermoelastic	thermoelastic	ADJ
ejpam-1243	290	2	interaction	interaction	NOUN
ejpam-1243	290	3	with	with	ADP
ejpam-1243	290	4	energy	energy	NOUN
ejpam-1243	290	5	dissipation	dissipation	NOUN
ejpam-1243	290	6	in	in	ADP
ejpam-1243	290	7	an	an	DET
ejpam-1243	290	8	infinitely	infinitely	ADV
ejpam-1243	290	9	extended	extended	ADJ
ejpam-1243	290	10	thin	thin	ADJ
ejpam-1243	290	11	plate	plate	NOUN
ejpam-1243	290	12	containing	contain	VERB
ejpam-1243	290	13	a	a	DET
ejpam-1243	290	14	circular	circular	ADJ
ejpam-1243	290	15	hole	hole	NOUN
ejpam-1243	290	16	,	,	PUNCT
ejpam-1243	290	17	far	far	PROPN
ejpam-1243	290	18	east	east	PROPN
ejpam-1243	290	19	j.	j.	PROPN
ejpam-1243	290	20	appl	appl	PROPN
ejpam-1243	290	21	.	.	PROPN
ejpam-1243	290	22	math	math	PROPN
ejpam-1243	290	23	.	.	PUNCT
ejpam-1243	290	24	,	,	PUNCT
ejpam-1243	290	25	24	24	NUM
ejpam-1243	290	26	,	,	PUNCT
ejpam-1243	290	27	201	201	NUM
ejpam-1243	290	28	-	-	SYM
ejpam-1243	290	29	217	217	NUM
ejpam-1243	290	30	.	.	PUNCT
ejpam-1243	291	1	2006	2006	NUM
ejpam-1243	291	2	.	.	PUNCT
ejpam-1243	292	1	[	[	X
ejpam-1243	292	2	18	18	NUM
ejpam-1243	292	3	]	]	PUNCT
ejpam-1243	292	4	a	a	DET
ejpam-1243	292	5	kar	kar	PROPN
ejpam-1243	292	6	,	,	PUNCT
ejpam-1243	292	7	m	m	PROPN
ejpam-1243	292	8	kanoria	kanoria	PROPN
ejpam-1243	292	9	.	.	PUNCT
ejpam-1243	293	1	thermoelastic	thermoelastic	ADJ
ejpam-1243	293	2	interaction	interaction	NOUN
ejpam-1243	293	3	with	with	ADP
ejpam-1243	293	4	energy	energy	NOUN
ejpam-1243	293	5	dissipation	dissipation	NOUN
ejpam-1243	293	6	in	in	ADP
ejpam-1243	293	7	an	an	DET
ejpam-1243	293	8	unbounded	unbounded	ADJ
ejpam-1243	293	9	body	body	NOUN
ejpam-1243	293	10	with	with	ADP
ejpam-1243	293	11	a	a	DET
ejpam-1243	293	12	spherical	spherical	ADJ
ejpam-1243	293	13	hole	hole	NOUN
ejpam-1243	293	14	,	,	PUNCT
ejpam-1243	293	15	int	int	NOUN
ejpam-1243	293	16	.	.	PUNCT
ejpam-1243	294	1	j.	j.	PROPN
ejpam-1243	294	2	solids	solids	PROPN
ejpam-1243	294	3	and	and	CCONJ
ejpam-1243	294	4	structures	structure	NOUN
ejpam-1243	294	5	,	,	PUNCT
ejpam-1243	294	6	44	44	NUM
ejpam-1243	294	7	,	,	PUNCT
ejpam-1243	294	8	2961	2961	NUM
ejpam-1243	294	9	-	-	SYM
ejpam-1243	294	10	2971.2007	2971.2007	ADJ
ejpam-1243	294	11	.	.	PUNCT
ejpam-1243	295	1	[	[	X
ejpam-1243	295	2	19	19	NUM
ejpam-1243	295	3	]	]	PUNCT
ejpam-1243	295	4	a	a	DET
ejpam-1243	295	5	kar	kar	PROPN
ejpam-1243	295	6	,	,	PUNCT
ejpam-1243	295	7	m	m	PROPN
ejpam-1243	295	8	kanoria	kanoria	PROPN
ejpam-1243	295	9	.	.	PUNCT
ejpam-1243	296	1	thermoelastic	thermoelastic	ADJ
ejpam-1243	296	2	interaction	interaction	NOUN
ejpam-1243	296	3	with	with	ADP
ejpam-1243	296	4	energy	energy	NOUN
ejpam-1243	296	5	dissipation	dissipation	NOUN
ejpam-1243	296	6	in	in	ADP
ejpam-1243	296	7	a	a	DET
ejpam-1243	296	8	transversely	transversely	ADJ
ejpam-1243	296	9	isotropic	isotropic	ADJ
ejpam-1243	296	10	thin	thin	ADJ
ejpam-1243	296	11	circular	circular	ADJ
ejpam-1243	296	12	disc	disc	NOUN
ejpam-1243	296	13	,	,	PUNCT
ejpam-1243	296	14	euro	euro	NOUN
ejpam-1243	296	15	.	.	PUNCT
ejpam-1243	297	1	j.	j.	PROPN
ejpam-1243	297	2	mech	mech	PROPN
ejpam-1243	297	3	.	.	PUNCT
ejpam-1243	298	1	a	a	DET
ejpam-1243	298	2	/	/	SYM
ejpam-1243	298	3	solids	solid	NOUN
ejpam-1243	298	4	,	,	PUNCT
ejpam-1243	298	5	26	26	NUM
ejpam-1243	298	6	,	,	PUNCT
ejpam-1243	298	7	969	969	NUM
ejpam-1243	298	8	-	-	SYM
ejpam-1243	298	9	981.2007	981.2007	NUM
ejpam-1243	298	10	.	.	PUNCT
ejpam-1243	299	1	[	[	X
ejpam-1243	299	2	20	20	NUM
ejpam-1243	299	3	]	]	PUNCT
ejpam-1243	299	4	a	a	DET
ejpam-1243	299	5	kar	kar	PROPN
ejpam-1243	299	6	,	,	PUNCT
ejpam-1243	299	7	m	m	PROPN
ejpam-1243	299	8	kanoria	kanoria	PROPN
ejpam-1243	299	9	.	.	PUNCT
ejpam-1243	300	1	generalized	generalize	VERB
ejpam-1243	300	2	thermo	thermo	NOUN
ejpam-1243	300	3	-	-	PUNCT
ejpam-1243	300	4	visco	visco	ADJ
ejpam-1243	300	5	-	-	PUNCT
ejpam-1243	300	6	elastic	elastic	ADJ
ejpam-1243	300	7	problem	problem	NOUN
ejpam-1243	300	8	of	of	ADP
ejpam-1243	300	9	a	a	DET
ejpam-1243	300	10	spherical	spherical	ADJ
ejpam-1243	300	11	shell	shell	NOUN
ejpam-1243	300	12	with	with	ADP
ejpam-1243	300	13	threephase	threephase	ADJ
ejpam-1243	300	14	-	-	PUNCT
ejpam-1243	300	15	lag	lag	NOUN
ejpam-1243	300	16	effect	effect	NOUN
ejpam-1243	300	17	,	,	PUNCT
ejpam-1243	300	18	appl	appl	PROPN
ejpam-1243	300	19	.	.	PROPN
ejpam-1243	300	20	math	math	PROPN
ejpam-1243	300	21	.	.	PUNCT
ejpam-1243	301	1	modelling	modelling	NOUN
ejpam-1243	301	2	,	,	PUNCT
ejpam-1243	301	3	33	33	NUM
ejpam-1243	301	4	,	,	PUNCT
ejpam-1243	301	5	3287	3287	NUM
ejpam-1243	301	6	-	-	SYM
ejpam-1243	301	7	3298	3298	NUM
ejpam-1243	301	8	.	.	PUNCT
ejpam-1243	302	1	2009	2009	NUM
ejpam-1243	302	2	.	.	PUNCT
ejpam-1243	303	1	[	[	X
ejpam-1243	303	2	21	21	NUM
ejpam-1243	303	3	]	]	X
ejpam-1243	303	4	a	a	DET
ejpam-1243	303	5	lahiri	lahiri	NOUN
ejpam-1243	303	6	,	,	PUNCT
ejpam-1243	303	7	n	n	CCONJ
ejpam-1243	303	8	das	das	PROPN
ejpam-1243	303	9	and	and	CCONJ
ejpam-1243	303	10	p	p	PROPN
ejpam-1243	303	11	sen	sen	PROPN
ejpam-1243	303	12	.	.	PROPN
ejpam-1243	303	13	eigen	eigen	PROPN
ejpam-1243	303	14	value	value	PROPN
ejpam-1243	303	15	approach	approach	NOUN
ejpam-1243	303	16	to	to	ADP
ejpam-1243	303	17	three	three	NUM
ejpam-1243	303	18	dimensional	dimensional	ADJ
ejpam-1243	303	19	generalized	generalized	ADJ
ejpam-1243	303	20	thermoelasticity	thermoelasticity	NOUN
ejpam-1243	303	21	,	,	PUNCT
ejpam-1243	303	22	bull	bull	NOUN
ejpam-1243	303	23	.	.	PUNCT
ejpam-1243	304	1	cal	cal	PROPN
ejpam-1243	304	2	.	.	PUNCT
ejpam-1243	305	1	math	math	NOUN
ejpam-1243	305	2	.	.	PUNCT
ejpam-1243	306	1	soc	soc	PROPN
ejpam-1243	306	2	.	.	PUNCT
ejpam-1243	306	3	,	,	PUNCT
ejpam-1243	306	4	98	98	NUM
ejpam-1243	306	5	,	,	PUNCT
ejpam-1243	306	6	305	305	NUM
ejpam-1243	306	7	-	-	SYM
ejpam-1243	306	8	318	318	NUM
ejpam-1243	306	9	.	.	PUNCT
ejpam-1243	306	10	2005	2005	NUM
ejpam-1243	306	11	.	.	PUNCT
ejpam-1243	307	1	references	reference	NOUN
ejpam-1243	307	2	319	319	NUM
ejpam-1243	308	1	[	[	X
ejpam-1243	308	2	22	22	NUM
ejpam-1243	308	3	]	]	PUNCT
ejpam-1243	308	4	s	s	VERB
ejpam-1243	308	5	lekhnitskii	lekhnitskii	NOUN
ejpam-1243	308	6	.	.	PUNCT
ejpam-1243	309	1	theory	theory	NOUN
ejpam-1243	309	2	of	of	ADP
ejpam-1243	309	3	elasticity	elasticity	NOUN
ejpam-1243	309	4	of	of	ADP
ejpam-1243	309	5	an	an	DET
ejpam-1243	309	6	anisotropic	anisotropic	NOUN
ejpam-1243	309	7	body	body	NOUN
ejpam-1243	309	8	,	,	PUNCT
ejpam-1243	309	9	mir	mir	PROPN
ejpam-1243	309	10	publication	publication	PROPN
ejpam-1243	309	11	,	,	PUNCT
ejpam-1243	309	12	moskow	moskow	PROPN
ejpam-1243	309	13	,	,	PUNCT
ejpam-1243	309	14	1980	1980	NUM
ejpam-1243	309	15	.	.	PUNCT
ejpam-1243	310	1	[	[	X
ejpam-1243	310	2	23	23	NUM
ejpam-1243	310	3	]	]	X
ejpam-1243	310	4	h	h	NOUN
ejpam-1243	310	5	lord	lord	PROPN
ejpam-1243	310	6	,	,	PUNCT
ejpam-1243	310	7	y	y	PROPN
ejpam-1243	310	8	shulman	shulman	PROPN
ejpam-1243	310	9	.	.	PUNCT
ejpam-1243	311	1	a	a	DET
ejpam-1243	311	2	generalized	generalized	ADJ
ejpam-1243	311	3	dynamic	dynamic	ADJ
ejpam-1243	311	4	theory	theory	NOUN
ejpam-1243	311	5	of	of	ADP
ejpam-1243	311	6	thermoelasticity	thermoelasticity	NOUN
ejpam-1243	311	7	,	,	PUNCT
ejpam-1243	311	8	j.	j.	PROPN
ejpam-1243	311	9	mech	mech	PROPN
ejpam-1243	311	10	.	.	PUNCT
ejpam-1243	312	1	phys	phy	NOUN
ejpam-1243	312	2	.	.	PUNCT
ejpam-1243	313	1	solids	solid	NOUN
ejpam-1243	313	2	,	,	PUNCT
ejpam-1243	313	3	15	15	NUM
ejpam-1243	313	4	,	,	PUNCT
ejpam-1243	313	5	299	299	NUM
ejpam-1243	313	6	-	-	SYM
ejpam-1243	313	7	309	309	NUM
ejpam-1243	313	8	.	.	PUNCT
ejpam-1243	313	9	1967	1967	NUM
ejpam-1243	313	10	.	.	PUNCT
ejpam-1243	314	1	[	[	X
ejpam-1243	314	2	24	24	NUM
ejpam-1243	314	3	]	]	SYM
ejpam-1243	314	4	s	s	PROPN
ejpam-1243	314	5	mallik	mallik	PROPN
ejpam-1243	314	6	,	,	PUNCT
ejpam-1243	314	7	m	m	PROPN
ejpam-1243	314	8	kanoria	kanoria	PROPN
ejpam-1243	314	9	.	.	PUNCT
ejpam-1243	315	1	generalized	generalize	VERB
ejpam-1243	315	2	thermo	thermo	NOUN
ejpam-1243	315	3	-	-	PUNCT
ejpam-1243	315	4	elastic	elastic	ADJ
ejpam-1243	315	5	functionally	functionally	ADV
ejpam-1243	315	6	graded	grade	VERB
ejpam-1243	315	7	sold	sell	VERB
ejpam-1243	315	8	with	with	ADP
ejpam-1243	315	9	a	a	DET
ejpam-1243	315	10	periodically	periodically	ADV
ejpam-1243	315	11	varying	vary	VERB
ejpam-1243	315	12	heat	heat	NOUN
ejpam-1243	315	13	source	source	NOUN
ejpam-1243	315	14	,	,	PUNCT
ejpam-1243	315	15	int	int	PROPN
ejpam-1243	315	16	.	.	PUNCT
ejpam-1243	316	1	j.	j.	PROPN
ejpam-1243	316	2	solids	solids	PROPN
ejpam-1243	316	3	and	and	CCONJ
ejpam-1243	316	4	stuctures	stucture	NOUN
ejpam-1243	316	5	,	,	PUNCT
ejpam-1243	316	6	44	44	NUM
ejpam-1243	316	7	,	,	PUNCT
ejpam-1243	316	8	7633	7633	NUM
ejpam-1243	316	9	-	-	SYM
ejpam-1243	316	10	7645	7645	NUM
ejpam-1243	316	11	.	.	PUNCT
ejpam-1243	317	1	2007	2007	NUM
ejpam-1243	317	2	.	.	PUNCT
ejpam-1243	318	1	[	[	X
ejpam-1243	318	2	25	25	NUM
ejpam-1243	318	3	]	]	X
ejpam-1243	318	4	y	y	PROPN
ejpam-1243	318	5	ootao	ootao	PROPN
ejpam-1243	318	6	,	,	PUNCT
ejpam-1243	318	7	y	y	PROPN
ejpam-1243	318	8	tanigawa	tanigawa	PROPN
ejpam-1243	318	9	.	.	PUNCT
ejpam-1243	319	1	transient	transient	PROPN
ejpam-1243	319	2	thermo	thermo	NOUN
ejpam-1243	319	3	-	-	PUNCT
ejpam-1243	319	4	elastic	elastic	ADJ
ejpam-1243	319	5	problem	problem	NOUN
ejpam-1243	319	6	of	of	ADP
ejpam-1243	319	7	a	a	DET
ejpam-1243	319	8	functionally	functionally	ADV
ejpam-1243	319	9	graded	grade	VERB
ejpam-1243	319	10	cylindrical	cylindrical	ADJ
ejpam-1243	319	11	pannel	pannel	NOUN
ejpam-1243	319	12	due	due	ADP
ejpam-1243	319	13	to	to	ADP
ejpam-1243	319	14	non	non	ADJ
ejpam-1243	319	15	-	-	ADJ
ejpam-1243	319	16	uniform	uniform	ADJ
ejpam-1243	319	17	heat	heat	NOUN
ejpam-1243	319	18	supply	supply	NOUN
ejpam-1243	319	19	,	,	PUNCT
ejpam-1243	319	20	j.	j.	PROPN
ejpam-1243	319	21	thermal	thermal	PROPN
ejpam-1243	319	22	stresses	stress	NOUN
ejpam-1243	319	23	,	,	PUNCT
ejpam-1243	319	24	30	30	NUM
ejpam-1243	319	25	,	,	PUNCT
ejpam-1243	319	26	441	441	NUM
ejpam-1243	319	27	-	-	SYM
ejpam-1243	319	28	457	457	NUM
ejpam-1243	319	29	.	.	PUNCT
ejpam-1243	319	30	2007	2007	NUM
ejpam-1243	319	31	.	.	PUNCT
ejpam-1243	320	1	[	[	X
ejpam-1243	320	2	26	26	NUM
ejpam-1243	320	3	]	]	X
ejpam-1243	320	4	s	s	VERB
ejpam-1243	320	5	roychoudhuri	roychoudhuri	PROPN
ejpam-1243	320	6	.	.	PUNCT
ejpam-1243	321	1	one	one	NUM
ejpam-1243	321	2	-	-	PUNCT
ejpam-1243	321	3	dimensional	dimensional	ADJ
ejpam-1243	321	4	thermoelastic	thermoelastic	ADJ
ejpam-1243	321	5	waves	wave	NOUN
ejpam-1243	321	6	in	in	ADP
ejpam-1243	321	7	elastic	elastic	ADJ
ejpam-1243	321	8	half	half	ADJ
ejpam-1243	321	9	-	-	PUNCT
ejpam-1243	321	10	space	space	NOUN
ejpam-1243	321	11	with	with	ADP
ejpam-1243	321	12	dualphase	dualphase	NOUN
ejpam-1243	321	13	-	-	PUNCT
ejpam-1243	321	14	lag	lag	NOUN
ejpam-1243	321	15	effects	effect	NOUN
ejpam-1243	321	16	,	,	PUNCT
ejpam-1243	321	17	j.	j.	PROPN
ejpam-1243	321	18	of	of	ADP
ejpam-1243	321	19	mech	mech	PROPN
ejpam-1243	321	20	.	.	PUNCT
ejpam-1243	322	1	of	of	ADP
ejpam-1243	322	2	materials	material	NOUN
ejpam-1243	322	3	and	and	CCONJ
ejpam-1243	322	4	structures	structure	NOUN
ejpam-1243	322	5	,	,	PUNCT
ejpam-1243	322	6	2	2	NUM
ejpam-1243	322	7	,	,	PUNCT
ejpam-1243	322	8	489	489	NUM
ejpam-1243	322	9	-	-	SYM
ejpam-1243	322	10	503	503	NUM
ejpam-1243	322	11	.	.	NUM
ejpam-1243	322	12	2007	2007	NUM
ejpam-1243	322	13	.	.	PUNCT
ejpam-1243	323	1	[	[	X
ejpam-1243	323	2	27	27	NUM
ejpam-1243	323	3	]	]	X
ejpam-1243	323	4	s	s	VERB
ejpam-1243	323	5	roychoudhuri	roychoudhuri	PROPN
ejpam-1243	323	6	.	.	PUNCT
ejpam-1243	324	1	on	on	ADP
ejpam-1243	324	2	a	a	DET
ejpam-1243	324	3	thermoelastic	thermoelastic	ADJ
ejpam-1243	324	4	three	three	NUM
ejpam-1243	324	5	-	-	PUNCT
ejpam-1243	324	6	phase	phase	NOUN
ejpam-1243	324	7	-	-	PUNCT
ejpam-1243	324	8	lag	lag	NOUN
ejpam-1243	324	9	model	model	NOUN
ejpam-1243	324	10	,	,	PUNCT
ejpam-1243	324	11	j.	j.	PROPN
ejpam-1243	324	12	thermal	thermal	PROPN
ejpam-1243	324	13	stresses	stress	NOUN
ejpam-1243	324	14	,	,	PUNCT
ejpam-1243	324	15	30	30	NUM
ejpam-1243	324	16	,	,	PUNCT
ejpam-1243	324	17	231238	231238	NUM
ejpam-1243	324	18	.	.	PUNCT
ejpam-1243	325	1	2007	2007	NUM
ejpam-1243	325	2	.	.	PUNCT
ejpam-1243	326	1	[	[	X
ejpam-1243	326	2	28	28	NUM
ejpam-1243	326	3	]	]	X
ejpam-1243	326	4	s	s	VERB
ejpam-1243	326	5	roychoudhuri	roychoudhuri	PROPN
ejpam-1243	326	6	and	and	CCONJ
ejpam-1243	326	7	n	n	PRON
ejpam-1243	326	8	bandyopadhyay	bandyopadhyay	NOUN
ejpam-1243	326	9	.	.	PUNCT
ejpam-1243	327	1	thermoelastic	thermoelastic	ADJ
ejpam-1243	327	2	wave	wave	NOUN
ejpam-1243	327	3	propagation	propagation	NOUN
ejpam-1243	327	4	in	in	ADP
ejpam-1243	327	5	a	a	DET
ejpam-1243	327	6	rotating	rotate	VERB
ejpam-1243	327	7	elastic	elastic	ADJ
ejpam-1243	327	8	medium	medium	NOUN
ejpam-1243	327	9	without	without	ADP
ejpam-1243	327	10	energy	energy	NOUN
ejpam-1243	327	11	dissipation	dissipation	NOUN
ejpam-1243	327	12	,	,	PUNCT
ejpam-1243	327	13	int	int	NOUN
ejpam-1243	327	14	.	.	PUNCT
ejpam-1243	328	1	j.	j.	PROPN
ejpam-1243	328	2	math	math	PROPN
ejpam-1243	328	3	.	.	PUNCT
ejpam-1243	329	1	and	and	CCONJ
ejpam-1243	329	2	math	math	NOUN
ejpam-1243	329	3	.	.	PUNCT
ejpam-1243	330	1	sci	sci	PROPN
ejpam-1243	330	2	.	.	PROPN
ejpam-1243	330	3	,	,	PUNCT
ejpam-1243	330	4	1	1	NUM
ejpam-1243	330	5	,	,	PUNCT
ejpam-1243	330	6	99	99	NUM
ejpam-1243	330	7	-	-	SYM
ejpam-1243	330	8	107	107	NUM
ejpam-1243	330	9	.	.	PUNCT
ejpam-1243	330	10	2004	2004	NUM
ejpam-1243	330	11	.	.	PUNCT
ejpam-1243	331	1	[	[	X
ejpam-1243	331	2	29	29	NUM
ejpam-1243	331	3	]	]	X
ejpam-1243	331	4	s	s	VERB
ejpam-1243	331	5	roychoudhuri	roychoudhuri	PROPN
ejpam-1243	331	6	,	,	PUNCT
ejpam-1243	331	7	p	p	PROPN
ejpam-1243	331	8	dutta	dutta	PROPN
ejpam-1243	331	9	.	.	PUNCT
ejpam-1243	331	10	thermoelastic	thermoelastic	ADJ
ejpam-1243	331	11	interaction	interaction	NOUN
ejpam-1243	331	12	without	without	ADP
ejpam-1243	331	13	energy	energy	NOUN
ejpam-1243	331	14	dissipation	dissipation	NOUN
ejpam-1243	331	15	in	in	ADP
ejpam-1243	331	16	an	an	DET
ejpam-1243	331	17	infinite	infinite	NOUN
ejpam-1243	331	18	solid	solid	ADJ
ejpam-1243	331	19	with	with	ADP
ejpam-1243	331	20	distributed	distribute	VERB
ejpam-1243	331	21	periodically	periodically	ADV
ejpam-1243	331	22	varrying	varrye	VERB
ejpam-1243	331	23	heat	heat	NOUN
ejpam-1243	331	24	sources	source	NOUN
ejpam-1243	331	25	,	,	PUNCT
ejpam-1243	331	26	int	int	NOUN
ejpam-1243	331	27	.	.	PUNCT
ejpam-1243	332	1	j.	j.	PROPN
ejpam-1243	332	2	solids	solids	PROPN
ejpam-1243	332	3	and	and	CCONJ
ejpam-1243	332	4	structures	structure	NOUN
ejpam-1243	332	5	,	,	PUNCT
ejpam-1243	332	6	42	42	NUM
ejpam-1243	332	7	,	,	PUNCT
ejpam-1243	332	8	4192	4192	NUM
ejpam-1243	332	9	-	-	SYM
ejpam-1243	332	10	4203	4203	NUM
ejpam-1243	332	11	.	.	PUNCT
ejpam-1243	333	1	2005	2005	NUM
ejpam-1243	333	2	.	.	PUNCT
ejpam-1243	334	1	[	[	X
ejpam-1243	334	2	30	30	NUM
ejpam-1243	334	3	]	]	X
ejpam-1243	334	4	z	z	PROPN
ejpam-1243	334	5	shao	shao	PROPN
ejpam-1243	334	6	,	,	PUNCT
ejpam-1243	334	7	t	t	PROPN
ejpam-1243	334	8	wang	wang	PROPN
ejpam-1243	334	9	,	,	PUNCT
ejpam-1243	334	10	k	k	PROPN
ejpam-1243	334	11	ang	ang	PROPN
ejpam-1243	334	12	.	.	PUNCT
ejpam-1243	335	1	transient	transient	PROPN
ejpam-1243	335	2	thermo	thermo	NOUN
ejpam-1243	335	3	-	-	PUNCT
ejpam-1243	335	4	mechanical	mechanical	ADJ
ejpam-1243	335	5	analysis	analysis	NOUN
ejpam-1243	335	6	of	of	ADP
ejpam-1243	335	7	functionally	functionally	ADV
ejpam-1243	335	8	graded	grade	VERB
ejpam-1243	335	9	hollow	hollow	ADJ
ejpam-1243	335	10	cylinders	cylinder	NOUN
ejpam-1243	335	11	,	,	PUNCT
ejpam-1243	335	12	j.	j.	PROPN
ejpam-1243	335	13	thermal	thermal	PROPN
ejpam-1243	335	14	stresses	stress	NOUN
ejpam-1243	335	15	,	,	PUNCT
ejpam-1243	335	16	30	30	NUM
ejpam-1243	335	17	.	.	PUNCT
ejpam-1243	335	18	81	81	NUM
ejpam-1243	335	19	-	-	SYM
ejpam-1243	335	20	104	104	NUM
ejpam-1243	335	21	.	.	PUNCT
ejpam-1243	335	22	2007	2007	NUM
ejpam-1243	335	23	.	.	PUNCT
ejpam-1243	336	1	[	[	X
ejpam-1243	336	2	31	31	NUM
ejpam-1243	336	3	]	]	X
ejpam-1243	336	4	d	d	X
ejpam-1243	336	5	tzou	tzou	PROPN
ejpam-1243	336	6	.	.	PUNCT
ejpam-1243	337	1	an	an	DET
ejpam-1243	337	2	unified	unified	ADJ
ejpam-1243	337	3	field	field	NOUN
ejpam-1243	337	4	approach	approach	NOUN
ejpam-1243	337	5	for	for	ADP
ejpam-1243	337	6	heat	heat	NOUN
ejpam-1243	337	7	conduction	conduction	NOUN
ejpam-1243	337	8	from	from	ADP
ejpam-1243	337	9	macro	macro	ADJ
ejpam-1243	337	10	to	to	ADP
ejpam-1243	337	11	micro	micro	NOUN
ejpam-1243	337	12	scales	scale	NOUN
ejpam-1243	337	13	,	,	PUNCT
ejpam-1243	337	14	asme	asme	PROPN
ejpam-1243	337	15	j.	j.	PROPN
ejpam-1243	337	16	heat	heat	PROPN
ejpam-1243	337	17	transfer	transfer	NOUN
ejpam-1243	337	18	,	,	PUNCT
ejpam-1243	337	19	117	117	NUM
ejpam-1243	337	20	8	8	NUM
ejpam-1243	337	21	-	-	SYM
ejpam-1243	337	22	16	16	NUM
ejpam-1243	337	23	.	.	PUNCT
ejpam-1243	337	24	1995	1995	NUM
ejpam-1243	337	25	.	.	PUNCT
ejpam-1243	338	1	[	[	X
ejpam-1243	338	2	32	32	NUM
ejpam-1243	338	3	]	]	X
ejpam-1243	338	4	h	h	PROPN
ejpam-1243	338	5	wang	wang	PROPN
ejpam-1243	338	6	,	,	PUNCT
ejpam-1243	338	7	h	h	PROPN
ejpam-1243	338	8	ding	ding	NOUN
ejpam-1243	338	9	,	,	PUNCT
ejpam-1243	338	10	y	y	PROPN
ejpam-1243	338	11	chen	chen	PROPN
ejpam-1243	338	12	.	.	PUNCT
ejpam-1243	339	1	thermo	thermo	NOUN
ejpam-1243	339	2	-	-	PUNCT
ejpam-1243	339	3	elastic	elastic	ADJ
ejpam-1243	339	4	dynamic	dynamic	ADJ
ejpam-1243	339	5	solution	solution	NOUN
ejpam-1243	339	6	of	of	ADP
ejpam-1243	339	7	a	a	DET
ejpam-1243	339	8	multilayered	multilayered	ADJ
ejpam-1243	339	9	spherically	spherically	NOUN
ejpam-1243	339	10	isotropic	isotropic	VERB
ejpam-1243	339	11	hollow	hollow	ADJ
ejpam-1243	339	12	sphere	sphere	NOUN
ejpam-1243	339	13	for	for	ADP
ejpam-1243	339	14	spherically	spherically	NOUN
ejpam-1243	339	15	symmetric	symmetric	ADJ
ejpam-1243	339	16	problems	problem	NOUN
ejpam-1243	339	17	,	,	PUNCT
ejpam-1243	339	18	acta	acta	PROPN
ejpam-1243	339	19	mech	mech	PROPN
ejpam-1243	339	20	.	.	PUNCT
ejpam-1243	339	21	,	,	PUNCT
ejpam-1243	339	22	173	173	NUM
ejpam-1243	339	23	,	,	PUNCT
ejpam-1243	339	24	131	131	NUM
ejpam-1243	339	25	-	-	SYM
ejpam-1243	339	26	145	145	NUM
ejpam-1243	339	27	.	.	PUNCT
ejpam-1243	339	28	2005	2005	NUM
ejpam-1243	339	29	.	.	PUNCT
ejpam-1243	340	1	[	[	X
ejpam-1243	340	2	33	33	NUM
ejpam-1243	340	3	]	]	SYM
ejpam-1243	340	4	b	b	X
ejpam-1243	340	5	wang	wang	PROPN
ejpam-1243	340	6	,	,	PUNCT
ejpam-1243	340	7	y	y	PROPN
ejpam-1243	340	8	mai	mai	PROPN
ejpam-1243	340	9	.	.	PUNCT
ejpam-1243	341	1	transient	transient	VERB
ejpam-1243	341	2	one	one	NUM
ejpam-1243	341	3	dimensional	dimensional	ADJ
ejpam-1243	341	4	heat	heat	NOUN
ejpam-1243	341	5	conduction	conduction	NOUN
ejpam-1243	341	6	problems	problem	NOUN
ejpam-1243	341	7	solved	solve	VERB
ejpam-1243	341	8	by	by	ADP
ejpam-1243	341	9	finite	finite	ADJ
ejpam-1243	341	10	element	element	NOUN
ejpam-1243	341	11	,	,	PUNCT
ejpam-1243	341	12	int	int	NOUN
ejpam-1243	341	13	.	.	PUNCT
ejpam-1243	342	1	j.	j.	PROPN
ejpam-1243	342	2	mech	mech	PROPN
ejpam-1243	342	3	.	.	PUNCT
ejpam-1243	343	1	sci	sci	PROPN
ejpam-1243	343	2	.	.	PROPN
ejpam-1243	343	3	,	,	PUNCT
ejpam-1243	343	4	47	47	NUM
ejpam-1243	343	5	303	303	NUM
ejpam-1243	343	6	-	-	SYM
ejpam-1243	343	7	317	317	NUM
ejpam-1243	343	8	.	.	NUM
ejpam-1243	343	9	2005	2005	NUM
ejpam-1243	343	10	.	.	PUNCT
ejpam-1243	344	1	[	[	X
ejpam-1243	344	2	34	34	NUM
ejpam-1243	344	3	]	]	X
ejpam-1243	344	4	j	j	PROPN
ejpam-1243	344	5	watson	watson	PROPN
ejpam-1243	344	6	.	.	PUNCT
ejpam-1243	345	1	theory	theory	NOUN
ejpam-1243	345	2	of	of	ADP
ejpam-1243	345	3	bessel	bessel	NOUN
ejpam-1243	345	4	functions(2nd	functions(2nd	PROPN
ejpam-1243	345	5	edn	edn	PROPN
ejpam-1243	345	6	.	.	PUNCT
ejpam-1243	345	7	)	)	PUNCT
ejpam-1243	345	8	,	,	PUNCT
ejpam-1243	345	9	cambridge	cambridge	PROPN
ejpam-1243	345	10	univ	univ	PROPN
ejpam-1243	345	11	.	.	PUNCT
ejpam-1243	346	1	press	press	PROPN
ejpam-1243	346	2	,	,	PUNCT
ejpam-1243	346	3	1980	1980	NUM
ejpam-1243	346	4	.	.	PUNCT
ejpam-1243	347	1	appendix	appendix	NOUN
ejpam-1243	347	2	let	let	VERB
ejpam-1243	347	3	the	the	DET
ejpam-1243	347	4	laplace	laplace	NOUN
ejpam-1243	347	5	transform	transform	NOUN
ejpam-1243	347	6	of	of	ADP
ejpam-1243	347	7	σi(r	σi(r	ADJ
ejpam-1243	347	8	,	,	PUNCT
ejpam-1243	347	9	η	η	NOUN
ejpam-1243	347	10	)	)	PUNCT
ejpam-1243	347	11	be	be	AUX
ejpam-1243	347	12	given	give	VERB
ejpam-1243	347	13	by	by	ADP
ejpam-1243	347	14	σ	σ	NOUN
ejpam-1243	347	15	j(r	j(r	PROPN
ejpam-1243	347	16	,	,	PUNCT
ejpam-1243	347	17	p	p	X
ejpam-1243	347	18	)	)	PUNCT
ejpam-1243	347	19	=	=	SYM
ejpam-1243	348	1	∫	∫	PROPN
ejpam-1243	348	2	∞	∞	PROPN
ejpam-1243	348	3	0	0	PUNCT
ejpam-1243	348	4	e−pησ	e−pησ	ADP
ejpam-1243	348	5	j(r	j(r	PROPN
ejpam-1243	348	6	,	,	PUNCT
ejpam-1243	348	7	η)dη	η)dη	PROPN
ejpam-1243	348	8	.	.	PUNCT
ejpam-1243	349	1	(	(	PUNCT
ejpam-1243	349	2	53	53	NUM
ejpam-1243	349	3	)	)	PUNCT
ejpam-1243	349	4	references	reference	NOUN
ejpam-1243	349	5	320	320	NUM
ejpam-1243	349	6	we	we	PRON
ejpam-1243	349	7	assume	assume	VERB
ejpam-1243	349	8	that	that	SCONJ
ejpam-1243	349	9	σ	σ	PROPN
ejpam-1243	349	10	j(r	j(r	PROPN
ejpam-1243	349	11	,	,	PUNCT
ejpam-1243	349	12	η	η	NOUN
ejpam-1243	349	13	)	)	PUNCT
ejpam-1243	349	14	is	be	AUX
ejpam-1243	349	15	sufficiently	sufficiently	ADV
ejpam-1243	349	16	smooth	smooth	ADJ
ejpam-1243	349	17	to	to	PART
ejpam-1243	349	18	permit	permit	VERB
ejpam-1243	349	19	the	the	DET
ejpam-1243	349	20	use	use	NOUN
ejpam-1243	349	21	of	of	ADP
ejpam-1243	349	22	the	the	DET
ejpam-1243	349	23	approximate	approximate	ADJ
ejpam-1243	349	24	method	method	NOUN
ejpam-1243	349	25	we	we	PRON
ejpam-1243	349	26	apply	apply	VERB
ejpam-1243	349	27	.	.	PUNCT
ejpam-1243	350	1	putting	put	VERB
ejpam-1243	350	2	x	x	PUNCT
ejpam-1243	350	3	=	=	VERB
ejpam-1243	350	4	e−η	e−η	NOUN
ejpam-1243	350	5	in	in	ADP
ejpam-1243	350	6	equation	equation	NOUN
ejpam-1243	350	7	(	(	PUNCT
ejpam-1243	350	8	53	53	NUM
ejpam-1243	350	9	)	)	PUNCT
ejpam-1243	350	10	we	we	PRON
ejpam-1243	350	11	obtain	obtain	VERB
ejpam-1243	350	12	σ	σ	PROPN
ejpam-1243	350	13	j(r	j(r	PROPN
ejpam-1243	350	14	,	,	PUNCT
ejpam-1243	350	15	p	p	X
ejpam-1243	350	16	)	)	PUNCT
ejpam-1243	350	17	=	=	SYM
ejpam-1243	351	1	∫	∫	PROPN
ejpam-1243	352	1	1	1	NUM
ejpam-1243	352	2	0	0	NUM
ejpam-1243	352	3	x	x	SYM
ejpam-1243	352	4	p−1	p−1	PROPN
ejpam-1243	352	5	g	g	PROPN
ejpam-1243	352	6	j(r	j(r	PROPN
ejpam-1243	352	7	,	,	PUNCT
ejpam-1243	352	8	x)d	x)d	X
ejpam-1243	352	9	x	x	SYM
ejpam-1243	352	10	,	,	PUNCT
ejpam-1243	352	11	(	(	PUNCT
ejpam-1243	352	12	54	54	NUM
ejpam-1243	352	13	)	)	PUNCT
ejpam-1243	353	1	where	where	SCONJ
ejpam-1243	353	2	g	g	PROPN
ejpam-1243	353	3	j(r	j(r	PROPN
ejpam-1243	353	4	,	,	PUNCT
ejpam-1243	353	5	x	x	X
ejpam-1243	353	6	)	)	PUNCT
ejpam-1243	353	7	=	=	SYM
ejpam-1243	353	8	σ	σ	PROPN
ejpam-1243	353	9	j(r,−log	j(r,−log	NOUN
ejpam-1243	353	10	x	x	NOUN
ejpam-1243	353	11	)	)	PUNCT
ejpam-1243	353	12	.	.	PUNCT
ejpam-1243	354	1	(	(	PUNCT
ejpam-1243	354	2	55	55	NUM
ejpam-1243	354	3	)	)	PUNCT
ejpam-1243	354	4	applying	apply	VERB
ejpam-1243	354	5	the	the	DET
ejpam-1243	354	6	gaussian	gaussian	ADJ
ejpam-1243	354	7	quadrature	quadrature	NOUN
ejpam-1243	354	8	rule	rule	NOUN
ejpam-1243	354	9	to	to	ADP
ejpam-1243	354	10	the	the	DET
ejpam-1243	354	11	equation	equation	NOUN
ejpam-1243	354	12	(	(	PUNCT
ejpam-1243	354	13	54	54	NUM
ejpam-1243	354	14	)	)	PUNCT
ejpam-1243	354	15	we	we	PRON
ejpam-1243	354	16	obtain	obtain	VERB
ejpam-1243	354	17	the	the	DET
ejpam-1243	354	18	approximate	approximate	ADJ
ejpam-1243	354	19	relation	relation	NOUN
ejpam-1243	354	20	n∑	n∑	PROPN
ejpam-1243	355	1	i=1	i=1	PROPN
ejpam-1243	356	1	wi	wi	PROPN
ejpam-1243	357	1	x	x	PROPN
ejpam-1243	357	2	p−1	p−1	PROPN
ejpam-1243	357	3	i	i	PRON
ejpam-1243	357	4	g	g	PROPN
ejpam-1243	357	5	j(r	j(r	PROPN
ejpam-1243	357	6	,	,	PUNCT
ejpam-1243	357	7	x	x	PROPN
ejpam-1243	357	8	i	i	NOUN
ejpam-1243	357	9	)	)	PUNCT
ejpam-1243	357	10	=	=	PROPN
ejpam-1243	358	1	σ	σ	PROPN
ejpam-1243	358	2	j(r	j(r	PROPN
ejpam-1243	358	3	,	,	PUNCT
ejpam-1243	358	4	p	p	X
ejpam-1243	358	5	)	)	PUNCT
ejpam-1243	358	6	,	,	PUNCT
ejpam-1243	358	7	(	(	PUNCT
ejpam-1243	358	8	56	56	NUM
ejpam-1243	358	9	)	)	PUNCT
ejpam-1243	358	10	where	where	SCONJ
ejpam-1243	358	11	x	x	SYM
ejpam-1243	358	12	i	i	PRON
ejpam-1243	358	13	’	'	PUNCT
ejpam-1243	358	14	s(i	s(i	PROPN
ejpam-1243	358	15	=	=	SYM
ejpam-1243	358	16	1,2	1,2	NUM
ejpam-1243	358	17	,	,	PUNCT
ejpam-1243	358	18	.	.	PUNCT
ejpam-1243	358	19	.	.	PUNCT
ejpam-1243	358	20	.	.	PUNCT
ejpam-1243	358	21	,	,	PUNCT
ejpam-1243	358	22	n	n	CCONJ
ejpam-1243	358	23	)	)	PUNCT
ejpam-1243	358	24	are	be	AUX
ejpam-1243	358	25	the	the	DET
ejpam-1243	358	26	roots	root	NOUN
ejpam-1243	358	27	of	of	ADP
ejpam-1243	358	28	the	the	DET
ejpam-1243	358	29	shifted	shift	VERB
ejpam-1243	358	30	legendre	legendre	PROPN
ejpam-1243	358	31	polynomial	polynomial	PROPN
ejpam-1243	358	32	and	and	CCONJ
ejpam-1243	358	33	wi	wi	PROPN
ejpam-1243	358	34	’s	’s	PART
ejpam-1243	358	35	(	(	PUNCT
ejpam-1243	358	36	i	i	NOUN
ejpam-1243	358	37	=	=	SYM
ejpam-1243	358	38	1,2	1,2	NUM
ejpam-1243	358	39	,	,	PUNCT
ejpam-1243	358	40	.	.	PUNCT
ejpam-1243	358	41	.	.	PUNCT
ejpam-1243	359	1	.	.	PUNCT
ejpam-1243	360	1	,	,	PUNCT
ejpam-1243	361	1	n	n	CCONJ
ejpam-1243	361	2	)	)	PUNCT
ejpam-1243	362	1	are	be	AUX
ejpam-1243	362	2	the	the	DET
ejpam-1243	362	3	corresponding	corresponding	ADJ
ejpam-1243	362	4	weights	weight	NOUN
ejpam-1243	362	5	[	[	X
ejpam-1243	362	6	4	4	NUM
ejpam-1243	362	7	]	]	PUNCT
ejpam-1243	362	8	and	and	CCONJ
ejpam-1243	362	9	p	p	NOUN
ejpam-1243	362	10	=	=	NOUN
ejpam-1243	362	11	1(1)n	1(1)n	NOUN
ejpam-1243	362	12	.	.	PUNCT
ejpam-1243	363	1	for	for	ADP
ejpam-1243	363	2	p	p	NOUN
ejpam-1243	363	3	=	=	SYM
ejpam-1243	363	4	1(1)n	1(1)n	NUM
ejpam-1243	363	5	,	,	PUNCT
ejpam-1243	363	6	the	the	DET
ejpam-1243	363	7	equations	equation	NOUN
ejpam-1243	363	8	(	(	PUNCT
ejpam-1243	363	9	56	56	NUM
ejpam-1243	363	10	)	)	PUNCT
ejpam-1243	363	11	can	can	AUX
ejpam-1243	363	12	be	be	AUX
ejpam-1243	363	13	written	write	VERB
ejpam-1243	363	14	as	as	ADP
ejpam-1243	363	15	w1	w1	NOUN
ejpam-1243	363	16	g	g	PROPN
ejpam-1243	363	17	j(r	j(r	PROPN
ejpam-1243	363	18	,	,	PUNCT
ejpam-1243	363	19	x1	x1	PROPN
ejpam-1243	363	20	)	)	PUNCT
ejpam-1243	364	1	+	+	NOUN
ejpam-1243	364	2	w2	w2	NOUN
ejpam-1243	364	3	g	g	PROPN
ejpam-1243	364	4	j(r	j(r	PROPN
ejpam-1243	364	5	,	,	PUNCT
ejpam-1243	364	6	x2	x2	PROPN
ejpam-1243	364	7	)	)	PUNCT
ejpam-1243	364	8	+	+	CCONJ
ejpam-1243	364	9	.	.	PUNCT
ejpam-1243	364	10	.	.	PUNCT
ejpam-1243	365	1	.+wn	.+wn	PROPN
ejpam-1243	366	1	g	g	PROPN
ejpam-1243	366	2	j(r	j(r	PROPN
ejpam-1243	366	3	,	,	PUNCT
ejpam-1243	366	4	xn	xn	PUNCT
ejpam-1243	366	5	)	)	PUNCT
ejpam-1243	367	1	=	=	PROPN
ejpam-1243	367	2	σ	σ	PROPN
ejpam-1243	367	3	j(r	j(r	PROPN
ejpam-1243	367	4	,	,	PUNCT
ejpam-1243	367	5	1	1	X
ejpam-1243	367	6	)	)	PUNCT
ejpam-1243	367	7	w1	w1	NOUN
ejpam-1243	367	8	x1	x1	NUM
ejpam-1243	367	9	g	g	PROPN
ejpam-1243	367	10	j(r	j(r	PROPN
ejpam-1243	367	11	,	,	PUNCT
ejpam-1243	367	12	x1	x1	PROPN
ejpam-1243	367	13	)	)	PUNCT
ejpam-1243	368	1	+	+	NUM
ejpam-1243	368	2	w2	w2	NOUN
ejpam-1243	368	3	x2	x2	PROPN
ejpam-1243	368	4	g	g	PROPN
ejpam-1243	368	5	j(r	j(r	PROPN
ejpam-1243	368	6	,	,	PUNCT
ejpam-1243	368	7	x2	x2	PROPN
ejpam-1243	368	8	)	)	PUNCT
ejpam-1243	368	9	+	+	CCONJ
ejpam-1243	368	10	.	.	PUNCT
ejpam-1243	368	11	.	.	PUNCT
ejpam-1243	369	1	.+wn	.+wn	PROPN
ejpam-1243	370	1	xn	xn	PROPN
ejpam-1243	371	1	g	g	PROPN
ejpam-1243	371	2	j(r	j(r	PROPN
ejpam-1243	371	3	,	,	PUNCT
ejpam-1243	371	4	xn	xn	PUNCT
ejpam-1243	371	5	)	)	PUNCT
ejpam-1243	372	1	=	=	PROPN
ejpam-1243	372	2	σ	σ	PROPN
ejpam-1243	372	3	j(r	j(r	PROPN
ejpam-1243	372	4	,	,	PUNCT
ejpam-1243	372	5	2	2	NUM
ejpam-1243	372	6	)	)	PUNCT
ejpam-1243	372	7	.	.	PUNCT
ejpam-1243	372	8	.	.	PUNCT
ejpam-1243	372	9	.	.	PUNCT
ejpam-1243	372	10	.	.	PUNCT
ejpam-1243	372	11	.	.	PUNCT
ejpam-1243	372	12	.	.	PUNCT
ejpam-1243	373	1	w1	w1	NOUN
ejpam-1243	373	2	xn−1	xn−1	PROPN
ejpam-1243	373	3	1	1	NUM
ejpam-1243	373	4	g	g	ADP
ejpam-1243	373	5	j(r	j(r	PROPN
ejpam-1243	373	6	,	,	PUNCT
ejpam-1243	373	7	x1	x1	PROPN
ejpam-1243	373	8	)	)	PUNCT
ejpam-1243	374	1	+	+	ADJ
ejpam-1243	374	2	w2	w2	NOUN
ejpam-1243	374	3	xn−1	xn−1	PROPN
ejpam-1243	374	4	2	2	NUM
ejpam-1243	374	5	g	g	ADP
ejpam-1243	374	6	j(r	j(r	PROPN
ejpam-1243	374	7	,	,	PUNCT
ejpam-1243	374	8	x2	x2	PROPN
ejpam-1243	374	9	)	)	PUNCT
ejpam-1243	374	10	+	+	CCONJ
ejpam-1243	374	11	.	.	PUNCT
ejpam-1243	374	12	.	.	PUNCT
ejpam-1243	375	1	.+wn	.+wn	PROPN
ejpam-1243	376	1	xn−1	xn−1	PROPN
ejpam-1243	376	2	n	n	CCONJ
ejpam-1243	376	3	g	g	PROPN
ejpam-1243	376	4	j(r	j(r	PROPN
ejpam-1243	376	5	,	,	PUNCT
ejpam-1243	376	6	xn	xn	PUNCT
ejpam-1243	376	7	)	)	PUNCT
ejpam-1243	377	1	=	=	PROPN
ejpam-1243	377	2	σ	σ	PROPN
ejpam-1243	377	3	j(r	j(r	PROPN
ejpam-1243	377	4	,	,	PUNCT
ejpam-1243	377	5	n	n	CCONJ
ejpam-1243	377	6	)	)	PUNCT
ejpam-1243	377	7	therefore	therefore	ADV
ejpam-1243	377	8			VERB
ejpam-1243	377	9			PRON
ejpam-1243	377	10	g	g	PROPN
ejpam-1243	377	11	j(r	j(r	PROPN
ejpam-1243	377	12	,	,	PUNCT
ejpam-1243	377	13	x1	x1	PROPN
ejpam-1243	377	14	)	)	PUNCT
ejpam-1243	377	15	g	g	PROPN
ejpam-1243	377	16	j(r	j(r	PROPN
ejpam-1243	377	17	,	,	PUNCT
ejpam-1243	377	18	x2	x2	PROPN
ejpam-1243	377	19	)	)	PUNCT
ejpam-1243	377	20	·	·	PUNCT
ejpam-1243	377	21	·	·	PUNCT
ejpam-1243	377	22	·	·	PUNCT
ejpam-1243	378	1	g	g	ADP
ejpam-1243	378	2	j(r	j(r	PROPN
ejpam-1243	378	3	,	,	PUNCT
ejpam-1243	378	4	xn	xn	PROPN
ejpam-1243	378	5	)	)	PUNCT
ejpam-1243	378	6			PUNCT
ejpam-1243	379	1			NOUN
ejpam-1243	379	2	=	=	SYM
ejpam-1243	379	3			PROPN
ejpam-1243	379	4			PROPN
ejpam-1243	379	5	w1	w1	NOUN
ejpam-1243	379	6	w2	w2	NOUN
ejpam-1243	379	7	·	·	PUNCT
ejpam-1243	379	8	·	·	PUNCT
ejpam-1243	379	9	·	·	PUNCT
ejpam-1243	380	1	wn	wn	PROPN
ejpam-1243	380	2	w1	w1	PROPN
ejpam-1243	380	3	x1	x1	PROPN
ejpam-1243	380	4	w2	w2	NOUN
ejpam-1243	380	5	x2	x2	PROPN
ejpam-1243	380	6	·	·	PUNCT
ejpam-1243	380	7	·	·	PUNCT
ejpam-1243	380	8	·	·	PUNCT
ejpam-1243	381	1	wn	wn	PROPN
ejpam-1243	381	2	xn	xn	PROPN
ejpam-1243	381	3	·	·	PUNCT
ejpam-1243	381	4	·	·	PUNCT
ejpam-1243	381	5	·	·	PUNCT
ejpam-1243	381	6	·	·	PUNCT
ejpam-1243	381	7	·	·	PUNCT
ejpam-1243	381	8	·	·	PUNCT
ejpam-1243	381	9	·	·	PUNCT
ejpam-1243	381	10	·	·	PUNCT
ejpam-1243	381	11	·	·	PUNCT
ejpam-1243	381	12	·	·	PUNCT
ejpam-1243	381	13	·	·	PUNCT
ejpam-1243	381	14	·	·	PUNCT
ejpam-1243	381	15	·	·	PUNCT
ejpam-1243	381	16	·	·	PUNCT
ejpam-1243	381	17	·	·	PUNCT
ejpam-1243	381	18	·	·	PUNCT
ejpam-1243	381	19	·	·	PUNCT
ejpam-1243	381	20	·	·	PUNCT
ejpam-1243	381	21	w1	w1	NOUN
ejpam-1243	381	22	xn−1	xn−1	PROPN
ejpam-1243	381	23	1	1	NUM
ejpam-1243	381	24	w2	w2	NOUN
ejpam-1243	381	25	xn−1	xn−1	PROPN
ejpam-1243	381	26	2	2	NUM
ejpam-1243	381	27	·	·	PUNCT
ejpam-1243	381	28	·	·	PUNCT
ejpam-1243	381	29	·	·	PUNCT
ejpam-1243	382	1	wn	wn	INTJ
ejpam-1243	382	2	xn−1	xn−1	PROPN
ejpam-1243	382	3	n	n	PROPN
ejpam-1243	382	4			NOUN
ejpam-1243	383	1			NOUN
ejpam-1243	383	2	−1	−1	PUNCT
ejpam-1243	383	3			PROPN
ejpam-1243	383	4	σ	σ	PROPN
ejpam-1243	383	5	j(r	j(r	PROPN
ejpam-1243	383	6	,	,	PUNCT
ejpam-1243	383	7	1	1	X
ejpam-1243	383	8	)	)	PUNCT
ejpam-1243	383	9	σ	σ	PROPN
ejpam-1243	383	10	j(r	j(r	PROPN
ejpam-1243	383	11	,	,	PUNCT
ejpam-1243	383	12	2	2	NUM
ejpam-1243	383	13	)	)	PUNCT
ejpam-1243	383	14	·	·	PUNCT
ejpam-1243	383	15	·	·	PUNCT
ejpam-1243	383	16	·	·	PUNCT
ejpam-1243	384	1	σ	σ	X
ejpam-1243	384	2	j(r	j(r	PROPN
ejpam-1243	384	3	,	,	PUNCT
ejpam-1243	384	4	n	n	CCONJ
ejpam-1243	384	5	)	)	PUNCT
ejpam-1243	384	6			PUNCT
ejpam-1243	385	1			NOUN
ejpam-1243	385	2	.	.	PUNCT
ejpam-1243	386	1	(	(	PUNCT
ejpam-1243	386	2	57	57	NUM
ejpam-1243	386	3	)	)	PUNCT
ejpam-1243	386	4	(	(	PUNCT
ejpam-1243	386	5	as	as	SCONJ
ejpam-1243	386	6	the	the	DET
ejpam-1243	386	7	matrix	matrix	NOUN
ejpam-1243	386	8	is	be	AUX
ejpam-1243	386	9	the	the	DET
ejpam-1243	386	10	product	product	NOUN
ejpam-1243	386	11	of	of	ADP
ejpam-1243	386	12	diag	diag	PROPN
ejpam-1243	386	13	{	{	PUNCT
ejpam-1243	386	14	wi}multiplied	wi}multiplie	VERB
ejpam-1243	386	15	by	by	ADP
ejpam-1243	386	16	vander	vander	NOUN
ejpam-1243	386	17	monde	monde	PROPN
ejpam-1243	386	18	matrix	matrix	NOUN
ejpam-1243	386	19	,	,	PUNCT
ejpam-1243	386	20	it	it	PRON
ejpam-1243	386	21	can	can	AUX
ejpam-1243	386	22	be	be	AUX
ejpam-1243	386	23	shown	show	VERB
ejpam-1243	386	24	that	that	SCONJ
ejpam-1243	386	25	the	the	DET
ejpam-1243	386	26	matrix	matrix	NOUN
ejpam-1243	386	27	is	be	AUX
ejpam-1243	386	28	non	non	ADJ
ejpam-1243	386	29	-	-	ADJ
ejpam-1243	386	30	singular	singular	ADJ
ejpam-1243	386	31	)	)	PUNCT
ejpam-1243	386	32	.	.	PUNCT
ejpam-1243	387	1	hence	hence	ADV
ejpam-1243	387	2	g	g	PROPN
ejpam-1243	387	3	j(r	j(r	PROPN
ejpam-1243	387	4	,	,	PUNCT
ejpam-1243	387	5	x1	x1	PROPN
ejpam-1243	387	6	)	)	PUNCT
ejpam-1243	387	7	,	,	PUNCT
ejpam-1243	387	8	g	g	PROPN
ejpam-1243	387	9	j(r	j(r	PROPN
ejpam-1243	387	10	,	,	PUNCT
ejpam-1243	387	11	x2	x2	PROPN
ejpam-1243	387	12	)	)	PUNCT
ejpam-1243	387	13	,	,	PUNCT
ejpam-1243	387	14	.	.	PUNCT
ejpam-1243	387	15	.	.	PUNCT
ejpam-1243	388	1	.	.	PUNCT
ejpam-1243	389	1	,	,	PUNCT
ejpam-1243	389	2	g	g	PROPN
ejpam-1243	389	3	j(r	j(r	PROPN
ejpam-1243	389	4	,	,	PUNCT
ejpam-1243	389	5	xn	xn	PRON
ejpam-1243	389	6	)	)	PUNCT
ejpam-1243	389	7	are	be	AUX
ejpam-1243	389	8	known	know	VERB
ejpam-1243	389	9	.	.	PUNCT
ejpam-1243	390	1	from	from	ADP
ejpam-1243	390	2	equations	equation	NOUN
ejpam-1243	390	3	in	in	ADP
ejpam-1243	390	4	(	(	PUNCT
ejpam-1243	390	5	57	57	NUM
ejpam-1243	390	6	)	)	PUNCT
ejpam-1243	390	7	we	we	PRON
ejpam-1243	390	8	can	can	AUX
ejpam-1243	390	9	calculate	calculate	VERB
ejpam-1243	390	10	the	the	DET
ejpam-1243	390	11	discrete	discrete	ADJ
ejpam-1243	390	12	values	value	NOUN
ejpam-1243	390	13	of	of	ADP
ejpam-1243	390	14	g	g	PROPN
ejpam-1243	390	15	j(r	j(r	PROPN
ejpam-1243	390	16	,	,	PUNCT
ejpam-1243	390	17	x	x	PROPN
ejpam-1243	390	18	i	i	NOUN
ejpam-1243	390	19	)	)	PUNCT
ejpam-1243	391	1	i	i	PRON
ejpam-1243	391	2	,	,	PUNCT
ejpam-1243	391	3	e	e	PROPN
ejpam-1243	391	4	,	,	PUNCT
ejpam-1243	391	5	σ	σ	PROPN
ejpam-1243	391	6	j(r	j(r	PROPN
ejpam-1243	391	7	,	,	PUNCT
ejpam-1243	391	8	ηi	ηi	PROPN
ejpam-1243	391	9	)	)	PUNCT
ejpam-1243	391	10	;	;	PUNCT
ejpam-1243	391	11	(	(	PUNCT
ejpam-1243	391	12	i	i	NOUN
ejpam-1243	391	13	=	=	NOUN
ejpam-1243	391	14	1,2	1,2	NUM
ejpam-1243	391	15	,	,	PUNCT
ejpam-1243	391	16	.	.	PUNCT
ejpam-1243	391	17	.	.	PUNCT
ejpam-1243	391	18	.	.	PUNCT
ejpam-1243	392	1	,	,	PUNCT
ejpam-1243	392	2	7	7	NUM
ejpam-1243	392	3	)	)	PUNCT
ejpam-1243	392	4	and	and	CCONJ
ejpam-1243	392	5	finally	finally	ADV
ejpam-1243	392	6	using	use	VERB
ejpam-1243	392	7	interpolation	interpolation	NOUN
ejpam-1243	392	8	we	we	PRON
ejpam-1243	392	9	obtain	obtain	VERB
ejpam-1243	392	10	the	the	DET
ejpam-1243	392	11	stress	stress	NOUN
ejpam-1243	392	12	components	component	NOUN
ejpam-1243	392	13	σi(r	σi(r	ADP
ejpam-1243	392	14	,	,	PUNCT
ejpam-1243	392	15	η	η	NOUN
ejpam-1243	392	16	)	)	PUNCT
ejpam-1243	392	17	;	;	PUNCT
ejpam-1243	392	18	(	(	PUNCT
ejpam-1243	392	19	i	i	NOUN
ejpam-1243	392	20	=	=	SYM
ejpam-1243	392	21	r	r	NOUN
ejpam-1243	392	22	,	,	PUNCT
ejpam-1243	392	23	θ	θ	NOUN
ejpam-1243	392	24	)	)	PUNCT
ejpam-1243	392	25	.	.	PUNCT
ejpam-1243	393	1	references	reference	NOUN
ejpam-1243	393	2	321	321	NUM
ejpam-1243	393	3	table	table	NOUN
ejpam-1243	393	4	1	1	NUM
ejpam-1243	393	5	:	:	PUNCT
ejpam-1243	393	6	roots	root	NOUN
ejpam-1243	393	7	and	and	CCONJ
ejpam-1243	393	8	weights	weight	NOUN
ejpam-1243	393	9	of	of	ADP
ejpam-1243	393	10	the	the	DET
ejpam-1243	393	11	shifted	shift	VERB
ejpam-1243	393	12	legendre	legendre	PROPN
ejpam-1243	393	13	polynomial	polynomial	PROPN
ejpam-1243	393	14	.	.	PUNCT
ejpam-1243	394	1	n	n	ADP
ejpam-1243	394	2	roots	root	NOUN
ejpam-1243	394	3	corresponding	correspond	VERB
ejpam-1243	394	4	weights	weight	NOUN
ejpam-1243	394	5	1	1	NUM
ejpam-1243	394	6	2.5446043828620886e-2	2.5446043828620886e-2	NUM
ejpam-1243	394	7	6.4742483084434816e-2	6.4742483084434816e-2	NUM
ejpam-1243	394	8	2	2	NUM
ejpam-1243	394	9	1.2923440720030282e-1	1.2923440720030282e-1	NUM
ejpam-1243	394	10	1.3985269574463828e-1	1.3985269574463828e-1	NUM
ejpam-1243	394	11	3	3	NUM
ejpam-1243	394	12	2.9707742431130145e-1	2.9707742431130145e-1	NUM
ejpam-1243	394	13	1.9091502525255938e-1	1.9091502525255938e-1	NUM
ejpam-1243	394	14	4	4	NUM
ejpam-1243	394	15	5.0000000000000000e-1	5.0000000000000000e-1	NUM
ejpam-1243	394	16	2.0897959183673466e-1	2.0897959183673466e-1	NUM
ejpam-1243	394	17	5	5	NUM
ejpam-1243	394	18	7.0292257568869853e-1	7.0292257568869853e-1	NUM
ejpam-1243	394	19	1.9091502525255938e-1	1.9091502525255938e-1	NUM
ejpam-1243	394	20	6	6	NUM
ejpam-1243	394	21	8.7076559279969706e-1	8.7076559279969706e-1	NUM
ejpam-1243	394	22	1.3985269574463828e-1	1.3985269574463828e-1	NUM
ejpam-1243	394	23	7	7	NUM
ejpam-1243	394	24	9.7455395617137909e-1	9.7455395617137909e-1	NUM
ejpam-1243	394	25	6.4742483084434816e-2	6.4742483084434816e-2	NUM