id	sid	tid	token	lemma	pos
ejpam-3012	1	1	european	european	PROPN
ejpam-3012	1	2	journal	journal	PROPN
ejpam-3012	1	3	of	of	ADP
ejpam-3012	1	4	pure	pure	ADJ
ejpam-3012	1	5	and	and	CCONJ
ejpam-3012	1	6	applied	apply	VERB
ejpam-3012	1	7	mathematics	mathematic	NOUN
ejpam-3012	1	8	vol	vol	NOUN
ejpam-3012	1	9	.	.	PROPN
ejpam-3012	2	1	10	10	NUM
ejpam-3012	2	2	,	,	PUNCT
ejpam-3012	2	3	no	no	INTJ
ejpam-3012	2	4	.	.	NOUN
ejpam-3012	2	5	4	4	NUM
ejpam-3012	2	6	,	,	PUNCT
ejpam-3012	2	7	2017	2017	NUM
ejpam-3012	2	8	,	,	PUNCT
ejpam-3012	2	9	786	786	NUM
ejpam-3012	2	10	-	-	SYM
ejpam-3012	2	11	808	808	NUM
ejpam-3012	2	12	issn	issn	PROPN
ejpam-3012	2	13	1307	1307	NUM
ejpam-3012	2	14	-	-	SYM
ejpam-3012	2	15	5543	5543	NUM
ejpam-3012	2	16	–	–	PUNCT
ejpam-3012	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3012	2	18	published	publish	VERB
ejpam-3012	2	19	by	by	ADP
ejpam-3012	2	20	new	new	PROPN
ejpam-3012	2	21	york	york	PROPN
ejpam-3012	2	22	business	business	PROPN
ejpam-3012	2	23	global	global	PROPN
ejpam-3012	2	24	seebeck	seebeck	PROPN
ejpam-3012	2	25	effect	effect	NOUN
ejpam-3012	2	26	on	on	ADP
ejpam-3012	2	27	a	a	DET
ejpam-3012	2	28	magneto	magneto	ADJ
ejpam-3012	2	29	-	-	PUNCT
ejpam-3012	2	30	thermoelastic	thermoelastic	ADJ
ejpam-3012	2	31	long	long	ADJ
ejpam-3012	2	32	solid	solid	ADJ
ejpam-3012	2	33	cylinder	cylinder	NOUN
ejpam-3012	2	34	with	with	ADP
ejpam-3012	2	35	temperature	temperature	NOUN
ejpam-3012	2	36	-	-	PUNCT
ejpam-3012	2	37	dependent	dependent	ADJ
ejpam-3012	2	38	thermal	thermal	ADJ
ejpam-3012	2	39	conductivity	conductivity	NOUN
ejpam-3012	2	40	a.	a.	NOUN
ejpam-3012	2	41	m.	m.	PROPN
ejpam-3012	2	42	zenkour1,∗	zenkour1,∗	PROPN
ejpam-3012	2	43	,	,	PUNCT
ejpam-3012	2	44	a.	a.	PROPN
ejpam-3012	2	45	e.	e.	PROPN
ejpam-3012	2	46	abouelregal2	abouelregal2	PROPN
ejpam-3012	2	47	,	,	PUNCT
ejpam-3012	2	48	k.	k.	PROPN
ejpam-3012	2	49	a.	a.	NOUN
ejpam-3012	2	50	alnefaie3	alnefaie3	NOUN
ejpam-3012	2	51	,	,	PUNCT
ejpam-3012	2	52	n.	n.	PROPN
ejpam-3012	2	53	h.	h.	PROPN
ejpam-3012	2	54	abu	abu	PROPN
ejpam-3012	2	55	-	-	PUNCT
ejpam-3012	2	56	hamdeh3	hamdeh3	PROPN
ejpam-3012	2	57	1	1	NUM
ejpam-3012	2	58	department	department	NOUN
ejpam-3012	2	59	of	of	ADP
ejpam-3012	2	60	mathematics	mathematic	NOUN
ejpam-3012	2	61	,	,	PUNCT
ejpam-3012	2	62	faculty	faculty	NOUN
ejpam-3012	2	63	of	of	ADP
ejpam-3012	2	64	science	science	NOUN
ejpam-3012	2	65	,	,	PUNCT
ejpam-3012	2	66	king	king	PROPN
ejpam-3012	2	67	abdulaziz	abdulaziz	PROPN
ejpam-3012	2	68	university	university	PROPN
ejpam-3012	2	69	,	,	PUNCT
ejpam-3012	2	70	saudi	saudi	PROPN
ejpam-3012	2	71	arabia	arabia	PROPN
ejpam-3012	2	72	1	1	NUM
ejpam-3012	2	73	department	department	NOUN
ejpam-3012	2	74	of	of	ADP
ejpam-3012	2	75	mathematics	mathematic	NOUN
ejpam-3012	2	76	,	,	PUNCT
ejpam-3012	2	77	faculty	faculty	NOUN
ejpam-3012	2	78	of	of	ADP
ejpam-3012	2	79	science	science	NOUN
ejpam-3012	2	80	,	,	PUNCT
ejpam-3012	2	81	kafrelsheikh	kafrelsheikh	PROPN
ejpam-3012	2	82	university	university	PROPN
ejpam-3012	2	83	,	,	PUNCT
ejpam-3012	2	84	egypt	egypt	PROPN
ejpam-3012	2	85	2	2	NUM
ejpam-3012	2	86	department	department	NOUN
ejpam-3012	2	87	of	of	ADP
ejpam-3012	2	88	mathematics	mathematic	NOUN
ejpam-3012	2	89	,	,	PUNCT
ejpam-3012	2	90	faculty	faculty	NOUN
ejpam-3012	2	91	of	of	ADP
ejpam-3012	2	92	science	science	NOUN
ejpam-3012	2	93	,	,	PUNCT
ejpam-3012	2	94	mansoura	mansoura	PROPN
ejpam-3012	2	95	university	university	PROPN
ejpam-3012	2	96	,	,	PUNCT
ejpam-3012	2	97	egypt	egypt	PROPN
ejpam-3012	2	98	3	3	NUM
ejpam-3012	2	99	department	department	NOUN
ejpam-3012	2	100	of	of	ADP
ejpam-3012	2	101	mechanical	mechanical	ADJ
ejpam-3012	2	102	engineering	engineering	NOUN
ejpam-3012	2	103	,	,	PUNCT
ejpam-3012	2	104	faculty	faculty	NOUN
ejpam-3012	2	105	of	of	ADP
ejpam-3012	2	106	engineering	engineering	NOUN
ejpam-3012	2	107	,	,	PUNCT
ejpam-3012	2	108	king	king	PROPN
ejpam-3012	2	109	abdulaziz	abdulaziz	PROPN
ejpam-3012	2	110	university	university	PROPN
ejpam-3012	2	111	,	,	PUNCT
ejpam-3012	2	112	saudi	saudi	PROPN
ejpam-3012	2	113	arabia	arabia	PROPN
ejpam-3012	2	114	abstract	abstract	NOUN
ejpam-3012	2	115	.	.	PUNCT
ejpam-3012	3	1	this	this	DET
ejpam-3012	3	2	article	article	NOUN
ejpam-3012	3	3	considers	consider	VERB
ejpam-3012	3	4	problem	problem	NOUN
ejpam-3012	3	5	of	of	ADP
ejpam-3012	3	6	generalized	generalized	ADJ
ejpam-3012	3	7	magneto	magneto	NOUN
ejpam-3012	3	8	-	-	PUNCT
ejpam-3012	3	9	thermo	thermo	NOUN
ejpam-3012	3	10	-	-	PUNCT
ejpam-3012	3	11	elasticity	elasticity	NOUN
ejpam-3012	3	12	with	with	ADP
ejpam-3012	3	13	dualphase	dualphase	NOUN
ejpam-3012	3	14	-	-	PUNCT
ejpam-3012	3	15	lags	lag	NOUN
ejpam-3012	3	16	in	in	ADP
ejpam-3012	3	17	an	an	DET
ejpam-3012	3	18	infinitely	infinitely	ADV
ejpam-3012	3	19	long	long	ADJ
ejpam-3012	3	20	solid	solid	ADJ
ejpam-3012	3	21	cylinder	cylinder	NOUN
ejpam-3012	3	22	with	with	ADP
ejpam-3012	3	23	variable	variable	ADJ
ejpam-3012	3	24	thermal	thermal	ADJ
ejpam-3012	3	25	conductivity	conductivity	NOUN
ejpam-3012	3	26	.	.	PUNCT
ejpam-3012	4	1	modified	modify	VERB
ejpam-3012	4	2	ohm	ohm	PROPN
ejpam-3012	4	3	’s	’s	PART
ejpam-3012	4	4	law	law	NOUN
ejpam-3012	4	5	that	that	PRON
ejpam-3012	4	6	includes	include	VERB
ejpam-3012	4	7	effects	effect	NOUN
ejpam-3012	4	8	of	of	ADP
ejpam-3012	4	9	temperature	temperature	NOUN
ejpam-3012	4	10	gradient	gradient	NOUN
ejpam-3012	4	11	(	(	PUNCT
ejpam-3012	4	12	seebeck	seebeck	NOUN
ejpam-3012	4	13	’s	’s	PART
ejpam-3012	4	14	phenomenon	phenomenon	NOUN
ejpam-3012	4	15	)	)	PUNCT
ejpam-3012	4	16	and	and	CCONJ
ejpam-3012	4	17	charge	charge	NOUN
ejpam-3012	4	18	density	density	NOUN
ejpam-3012	4	19	as	as	ADV
ejpam-3012	4	20	well	well	ADV
ejpam-3012	4	21	as	as	ADP
ejpam-3012	4	22	generalized	generalized	ADJ
ejpam-3012	4	23	fourier	fourier	NOUN
ejpam-3012	4	24	’s	’s	PART
ejpam-3012	4	25	law	law	NOUN
ejpam-3012	4	26	with	with	ADP
ejpam-3012	4	27	current	current	ADJ
ejpam-3012	4	28	density	density	NOUN
ejpam-3012	4	29	is	be	AUX
ejpam-3012	4	30	introduced	introduce	VERB
ejpam-3012	4	31	.	.	PUNCT
ejpam-3012	5	1	curved	curved	ADJ
ejpam-3012	5	2	surface	surface	NOUN
ejpam-3012	5	3	of	of	ADP
ejpam-3012	5	4	cylinder	cylinder	NOUN
ejpam-3012	5	5	is	be	AUX
ejpam-3012	5	6	under	under	ADP
ejpam-3012	5	7	thermal	thermal	ADJ
ejpam-3012	5	8	shock	shock	NOUN
ejpam-3012	5	9	and	and	CCONJ
ejpam-3012	5	10	placed	place	VERB
ejpam-3012	5	11	in	in	ADP
ejpam-3012	5	12	uniform	uniform	ADJ
ejpam-3012	5	13	axial	axial	ADJ
ejpam-3012	5	14	magnetic	magnetic	ADJ
ejpam-3012	5	15	field	field	NOUN
ejpam-3012	5	16	.	.	PUNCT
ejpam-3012	6	1	laplaces	laplace	NOUN
ejpam-3012	6	2	transform	transform	VERB
ejpam-3012	6	3	and	and	CCONJ
ejpam-3012	6	4	its	its	PRON
ejpam-3012	6	5	inversion	inversion	NOUN
ejpam-3012	6	6	techniques	technique	NOUN
ejpam-3012	6	7	are	be	AUX
ejpam-3012	6	8	applied	apply	VERB
ejpam-3012	6	9	to	to	PART
ejpam-3012	6	10	solve	solve	VERB
ejpam-3012	6	11	present	present	ADJ
ejpam-3012	6	12	problem	problem	NOUN
ejpam-3012	6	13	.	.	PUNCT
ejpam-3012	7	1	different	different	ADJ
ejpam-3012	7	2	results	result	NOUN
ejpam-3012	7	3	for	for	ADP
ejpam-3012	7	4	field	field	NOUN
ejpam-3012	7	5	quantities	quantity	NOUN
ejpam-3012	7	6	like	like	ADP
ejpam-3012	7	7	temperature	temperature	NOUN
ejpam-3012	7	8	,	,	PUNCT
ejpam-3012	7	9	displacement	displacement	NOUN
ejpam-3012	7	10	,	,	PUNCT
ejpam-3012	7	11	flexural	flexural	ADJ
ejpam-3012	7	12	moment	moment	NOUN
ejpam-3012	7	13	,	,	PUNCT
ejpam-3012	7	14	and	and	CCONJ
ejpam-3012	7	15	stress	stress	NOUN
ejpam-3012	7	16	distributions	distribution	NOUN
ejpam-3012	7	17	are	be	AUX
ejpam-3012	7	18	presented	present	VERB
ejpam-3012	7	19	.	.	PUNCT
ejpam-3012	8	1	in	in	ADP
ejpam-3012	8	2	addition	addition	NOUN
ejpam-3012	8	3	,	,	PUNCT
ejpam-3012	8	4	the	the	DET
ejpam-3012	8	5	induced	induced	ADJ
ejpam-3012	8	6	magnetic	magnetic	ADJ
ejpam-3012	8	7	and	and	CCONJ
ejpam-3012	8	8	electric	electric	ADJ
ejpam-3012	8	9	fields	field	NOUN
ejpam-3012	8	10	are	be	AUX
ejpam-3012	8	11	displayed	display	VERB
ejpam-3012	8	12	in	in	ADP
ejpam-3012	8	13	some	some	DET
ejpam-3012	8	14	plots	plot	NOUN
ejpam-3012	8	15	.	.	PUNCT
ejpam-3012	9	1	effects	effect	NOUN
ejpam-3012	9	2	of	of	ADP
ejpam-3012	9	3	seebeck	seebeck	PROPN
ejpam-3012	9	4	parameter	parameter	PROPN
ejpam-3012	9	5	,	,	PUNCT
ejpam-3012	9	6	variability	variability	NOUN
ejpam-3012	9	7	of	of	ADP
ejpam-3012	9	8	thermal	thermal	ADJ
ejpam-3012	9	9	conductivity	conductivity	NOUN
ejpam-3012	9	10	parameter	parameter	NOUN
ejpam-3012	9	11	and	and	CCONJ
ejpam-3012	9	12	applied	apply	VERB
ejpam-3012	9	13	magnetic	magnetic	ADJ
ejpam-3012	9	14	field	field	NOUN
ejpam-3012	9	15	are	be	AUX
ejpam-3012	9	16	also	also	ADV
ejpam-3012	9	17	investigated	investigate	VERB
ejpam-3012	9	18	.	.	PUNCT
ejpam-3012	10	1	2010	2010	NUM
ejpam-3012	10	2	mathematics	mathematic	NOUN
ejpam-3012	10	3	subject	subject	NOUN
ejpam-3012	10	4	classifications	classification	NOUN
ejpam-3012	10	5	:	:	PUNCT
ejpam-3012	10	6	73c	73c	NOUN
ejpam-3012	10	7	key	key	ADJ
ejpam-3012	10	8	words	word	NOUN
ejpam-3012	10	9	and	and	CCONJ
ejpam-3012	10	10	phrases	phrase	NOUN
ejpam-3012	10	11	:	:	PUNCT
ejpam-3012	10	12	magneto	magneto	ADJ
ejpam-3012	10	13	-	-	PUNCT
ejpam-3012	10	14	thermo	thermo	NOUN
ejpam-3012	10	15	-	-	PUNCT
ejpam-3012	10	16	elasticity	elasticity	NOUN
ejpam-3012	10	17	,	,	PUNCT
ejpam-3012	10	18	dual	dual	ADJ
ejpam-3012	10	19	-	-	PUNCT
ejpam-3012	10	20	phase	phase	NOUN
ejpam-3012	10	21	-	-	PUNCT
ejpam-3012	10	22	lag	lag	NOUN
ejpam-3012	10	23	,	,	PUNCT
ejpam-3012	10	24	seebeck	seebeck	NOUN
ejpam-3012	10	25	effect	effect	NOUN
ejpam-3012	10	26	,	,	PUNCT
ejpam-3012	10	27	solid	solid	ADJ
ejpam-3012	10	28	cylinder	cylinder	NOUN
ejpam-3012	10	29	,	,	PUNCT
ejpam-3012	10	30	variable	variable	ADJ
ejpam-3012	10	31	thermal	thermal	ADJ
ejpam-3012	10	32	conductivity	conductivity	NOUN
ejpam-3012	10	33	1	1	NUM
ejpam-3012	10	34	.	.	PUNCT
ejpam-3012	11	1	introduction	introduction	NOUN
ejpam-3012	11	2	classical	classical	ADJ
ejpam-3012	11	3	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	11	4	theories	theory	NOUN
ejpam-3012	11	5	predict	predict	VERB
ejpam-3012	11	6	infinite	infinite	ADJ
ejpam-3012	11	7	speed	speed	NOUN
ejpam-3012	11	8	of	of	ADP
ejpam-3012	11	9	propagation	propagation	NOUN
ejpam-3012	11	10	for	for	ADP
ejpam-3012	11	11	thermal	thermal	ADJ
ejpam-3012	11	12	field	field	NOUN
ejpam-3012	11	13	.	.	PUNCT
ejpam-3012	12	1	elastic	elastic	ADJ
ejpam-3012	12	2	change	change	NOUN
ejpam-3012	12	3	has	have	VERB
ejpam-3012	12	4	no	no	DET
ejpam-3012	12	5	effects	effect	NOUN
ejpam-3012	12	6	on	on	ADP
ejpam-3012	12	7	temperature	temperature	NOUN
ejpam-3012	12	8	in	in	ADP
ejpam-3012	12	9	classical	classical	ADJ
ejpam-3012	12	10	uncoupled	uncoupled	ADJ
ejpam-3012	12	11	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	12	12	theories	theory	NOUN
ejpam-3012	12	13	.	.	PUNCT
ejpam-3012	13	1	however	however	ADV
ejpam-3012	13	2	,	,	PUNCT
ejpam-3012	13	3	coupled	couple	VERB
ejpam-3012	13	4	theory	theory	NOUN
ejpam-3012	13	5	of	of	ADP
ejpam-3012	13	6	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	13	7	eliminates	eliminate	VERB
ejpam-3012	13	8	paradox	paradox	NOUN
ejpam-3012	13	9	of	of	ADP
ejpam-3012	13	10	uncoupled	uncoupled	ADJ
ejpam-3012	13	11	one	one	NUM
ejpam-3012	13	12	.	.	PUNCT
ejpam-3012	14	1	in	in	ADP
ejpam-3012	14	2	addition	addition	NOUN
ejpam-3012	14	3	,	,	PUNCT
ejpam-3012	14	4	generalized	generalized	ADJ
ejpam-3012	14	5	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	14	6	theories	theory	NOUN
ejpam-3012	14	7	like	like	ADP
ejpam-3012	14	8	lord	lord	PROPN
ejpam-3012	14	9	and	and	CCONJ
ejpam-3012	14	10	shulman	shulman	PROPN
ejpam-3012	15	1	[	[	X
ejpam-3012	15	2	13	13	NUM
ejpam-3012	15	3	]	]	PUNCT
ejpam-3012	15	4	presented	present	VERB
ejpam-3012	15	5	,	,	PUNCT
ejpam-3012	15	6	instead	instead	ADV
ejpam-3012	15	7	of	of	ADP
ejpam-3012	15	8	classical	classical	ADJ
ejpam-3012	15	9	fourier	fourier	NOUN
ejpam-3012	15	10	’s	’s	PART
ejpam-3012	15	11	law	law	NOUN
ejpam-3012	15	12	,	,	PUNCT
ejpam-3012	15	13	wave	wave	NOUN
ejpam-3012	15	14	-	-	PUNCT
ejpam-3012	15	15	type	type	NOUN
ejpam-3012	15	16	heat	heat	NOUN
ejpam-3012	15	17	conduction	conduction	NOUN
ejpam-3012	15	18	contains	contain	VERB
ejpam-3012	15	19	heat	heat	NOUN
ejpam-3012	15	20	flux	flux	NOUN
ejpam-3012	15	21	vector	vector	NOUN
ejpam-3012	15	22	and	and	CCONJ
ejpam-3012	15	23	its	its	PRON
ejpam-3012	15	24	time	time	NOUN
ejpam-3012	15	25	-	-	PUNCT
ejpam-3012	15	26	derivative	derivative	NOUN
ejpam-3012	15	27	as	as	ADV
ejpam-3012	15	28	well	well	ADV
ejpam-3012	15	29	as	as	ADP
ejpam-3012	15	30	new	new	ADJ
ejpam-3012	15	31	thermal	thermal	ADJ
ejpam-3012	15	32	relaxation	relaxation	NOUN
ejpam-3012	15	33	.	.	PUNCT
ejpam-3012	16	1	green	green	ADJ
ejpam-3012	16	2	and	and	CCONJ
ejpam-3012	16	3	lindsay	lindsay	VERB
ejpam-3012	17	1	[	[	X
ejpam-3012	17	2	8	8	NUM
ejpam-3012	17	3	]	]	PUNCT
ejpam-3012	17	4	developed	develop	VERB
ejpam-3012	17	5	another	another	DET
ejpam-3012	17	6	generalized	generalized	ADJ
ejpam-3012	17	7	theory	theory	NOUN
ejpam-3012	17	8	with	with	ADP
ejpam-3012	17	9	two	two	NUM
ejpam-3012	17	10	thermal	thermal	ADJ
ejpam-3012	17	11	relaxations	relaxation	NOUN
ejpam-3012	17	12	.	.	PUNCT
ejpam-3012	18	1	in	in	ADP
ejpam-3012	18	2	addition	addition	NOUN
ejpam-3012	18	3	to	to	ADP
ejpam-3012	18	4	modification	modification	NOUN
ejpam-3012	18	5	of	of	ADP
ejpam-3012	18	6	lord	lord	PROPN
ejpam-3012	18	7	and	and	CCONJ
ejpam-3012	18	8	shulman	shulman	PROPN
ejpam-3012	18	9	they	they	PRON
ejpam-3012	18	10	also	also	ADV
ejpam-3012	18	11	modified	modify	VERB
ejpam-3012	18	12	all	all	DET
ejpam-3012	18	13	equations	equation	NOUN
ejpam-3012	18	14	of	of	ADP
ejpam-3012	18	15	coupled	couple	VERB
ejpam-3012	18	16	theory	theory	NOUN
ejpam-3012	18	17	.	.	PUNCT
ejpam-3012	19	1	green	green	ADJ
ejpam-3012	19	2	and	and	CCONJ
ejpam-3012	19	3	∗corresponding	∗corresponde	VERB
ejpam-3012	19	4	author	author	NOUN
ejpam-3012	19	5	.	.	PUNCT
ejpam-3012	20	1	email	email	NOUN
ejpam-3012	20	2	addresses	address	NOUN
ejpam-3012	20	3	:	:	PUNCT
ejpam-3012	20	4	zenkour@kau.edu.sa	zenkour@kau.edu.sa	PROPN
ejpam-3012	20	5	(	(	PUNCT
ejpam-3012	20	6	a.	a.	NOUN
ejpam-3012	20	7	m.	m.	NOUN
ejpam-3012	20	8	zenkour	zenkour	PROPN
ejpam-3012	20	9	)	)	PUNCT
ejpam-3012	20	10	,	,	PUNCT
ejpam-3012	20	11	ahabogal@gmail.com	ahabogal@gmail.com	X
ejpam-3012	20	12	(	(	PUNCT
ejpam-3012	20	13	a.	a.	PROPN
ejpam-3012	20	14	e.	e.	PROPN
ejpam-3012	20	15	abouelregal	abouelregal	PROPN
ejpam-3012	20	16	)	)	PUNCT
ejpam-3012	20	17	,	,	PUNCT
ejpam-3012	20	18	kalnefaie@kau.edu.sa	kalnefaie@kau.edu.sa	PROPN
ejpam-3012	20	19	(	(	PUNCT
ejpam-3012	20	20	k.	k.	PROPN
ejpam-3012	20	21	a.	a.	PROPN
ejpam-3012	20	22	alnefaie	alnefaie	PROPN
ejpam-3012	20	23	)	)	PUNCT
ejpam-3012	20	24	,	,	PUNCT
ejpam-3012	20	25	nabuhamdeh@kau.edu.sa	nabuhamdeh@kau.edu.sa	PROPN
ejpam-3012	20	26	(	(	PUNCT
ejpam-3012	20	27	n.	n.	PROPN
ejpam-3012	20	28	h.	h.	PROPN
ejpam-3012	20	29	abu	abu	PROPN
ejpam-3012	20	30	-	-	PUNCT
ejpam-3012	20	31	hamdeh	hamdeh	PROPN
ejpam-3012	20	32	)	)	PUNCT
ejpam-3012	20	33	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3012	21	1	786	786	NUM
ejpam-3012	21	2	c	c	NOUN
ejpam-3012	21	3	©	©	PROPN
ejpam-3012	21	4	2017	2017	NUM
ejpam-3012	21	5	ejpam	ejpam	NOUN
ejpam-3012	21	6	all	all	DET
ejpam-3012	21	7	rights	right	NOUN
ejpam-3012	21	8	reserved	reserve	VERB
ejpam-3012	21	9	.	.	PUNCT
ejpam-3012	22	1	a.	a.	PROPN
ejpam-3012	22	2	m.	m.	NOUN
ejpam-3012	22	3	zenkour	zenkour	PROPN
ejpam-3012	22	4	et	et	PROPN
ejpam-3012	22	5	al	al	PROPN
ejpam-3012	22	6	.	.	PUNCT
ejpam-3012	22	7	/	/	SYM
ejpam-3012	22	8	eur	eur	PROPN
ejpam-3012	22	9	.	.	PUNCT
ejpam-3012	23	1	j.	j.	PROPN
ejpam-3012	23	2	pure	pure	PROPN
ejpam-3012	23	3	appl	appl	PROPN
ejpam-3012	23	4	.	.	PROPN
ejpam-3012	23	5	math	math	PROPN
ejpam-3012	23	6	,	,	PUNCT
ejpam-3012	23	7	10	10	NUM
ejpam-3012	23	8	(	(	PUNCT
ejpam-3012	23	9	4	4	NUM
ejpam-3012	23	10	)	)	PUNCT
ejpam-3012	23	11	(	(	PUNCT
ejpam-3012	23	12	2017	2017	NUM
ejpam-3012	23	13	)	)	PUNCT
ejpam-3012	23	14	,	,	PUNCT
ejpam-3012	23	15	786	786	NUM
ejpam-3012	23	16	-	-	SYM
ejpam-3012	23	17	808	808	NUM
ejpam-3012	23	18	787	787	NUM
ejpam-3012	23	19	naghdi	naghdi	NOUN
ejpam-3012	23	20	[	[	X
ejpam-3012	23	21	9	9	NUM
ejpam-3012	23	22	]	]	PUNCT
ejpam-3012	23	23	provide	provide	VERB
ejpam-3012	23	24	another	another	DET
ejpam-3012	23	25	theory	theory	NOUN
ejpam-3012	23	26	that	that	PRON
ejpam-3012	23	27	not	not	PART
ejpam-3012	23	28	accommodates	accommodate	VERB
ejpam-3012	23	29	dissipation	dissipation	NOUN
ejpam-3012	23	30	of	of	ADP
ejpam-3012	23	31	thermal	thermal	ADJ
ejpam-3012	23	32	energy	energy	NOUN
ejpam-3012	23	33	.	.	PUNCT
ejpam-3012	24	1	recently	recently	ADV
ejpam-3012	24	2	,	,	PUNCT
ejpam-3012	24	3	zenkour	zenkour	X
ejpam-3012	24	4	[	[	X
ejpam-3012	24	5	27	27	NUM
ejpam-3012	24	6	]	]	PUNCT
ejpam-3012	24	7	discussed	discuss	VERB
ejpam-3012	24	8	transient	transient	ADJ
ejpam-3012	24	9	thermal	thermal	ADJ
ejpam-3012	24	10	shock	shock	NOUN
ejpam-3012	24	11	by	by	ADP
ejpam-3012	24	12	presenting	present	VERB
ejpam-3012	24	13	unified	unified	ADJ
ejpam-3012	24	14	generalized	generalized	ADJ
ejpam-3012	24	15	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	24	16	theory	theory	NOUN
ejpam-3012	24	17	in	in	ADP
ejpam-3012	24	18	context	context	NOUN
ejpam-3012	24	19	of	of	ADP
ejpam-3012	24	20	all	all	DET
ejpam-3012	24	21	other	other	ADJ
ejpam-3012	24	22	theories	theory	NOUN
ejpam-3012	24	23	.	.	PUNCT
ejpam-3012	25	1	tzou	tzou	PROPN
ejpam-3012	26	1	[	[	X
ejpam-3012	26	2	24	24	NUM
ejpam-3012	26	3	,	,	PUNCT
ejpam-3012	26	4	25	25	NUM
ejpam-3012	26	5	]	]	PUNCT
ejpam-3012	26	6	proposed	propose	VERB
ejpam-3012	26	7	a	a	DET
ejpam-3012	26	8	model	model	NOUN
ejpam-3012	26	9	that	that	PRON
ejpam-3012	26	10	known	know	VERB
ejpam-3012	26	11	as	as	ADP
ejpam-3012	26	12	dual	dual	ADJ
ejpam-3012	26	13	-	-	PUNCT
ejpam-3012	26	14	phase	phase	NOUN
ejpam-3012	26	15	-	-	PUNCT
ejpam-3012	26	16	lag	lag	NOUN
ejpam-3012	26	17	(	(	PUNCT
ejpam-3012	26	18	dpl	dpl	NOUN
ejpam-3012	26	19	)	)	PUNCT
ejpam-3012	26	20	.	.	PUNCT
ejpam-3012	27	1	it	it	PRON
ejpam-3012	27	2	would	would	AUX
ejpam-3012	27	3	be	be	AUX
ejpam-3012	27	4	convenient	convenient	ADJ
ejpam-3012	27	5	to	to	PART
ejpam-3012	27	6	use	use	VERB
ejpam-3012	27	7	this	this	DET
ejpam-3012	27	8	model	model	NOUN
ejpam-3012	27	9	to	to	PART
ejpam-3012	27	10	investigate	investigate	VERB
ejpam-3012	27	11	heat	heat	NOUN
ejpam-3012	27	12	transfer	transfer	NOUN
ejpam-3012	27	13	in	in	ADP
ejpam-3012	27	14	micro	micro	NOUN
ejpam-3012	27	15	-	-	NOUN
ejpam-3012	27	16	structures	structure	NOUN
ejpam-3012	27	17	.	.	PUNCT
ejpam-3012	28	1	chandrasekharaiah	chandrasekharaiah	PROPN
ejpam-3012	29	1	[	[	X
ejpam-3012	29	2	6	6	NUM
ejpam-3012	29	3	]	]	PUNCT
ejpam-3012	29	4	proposed	propose	VERB
ejpam-3012	29	5	a	a	DET
ejpam-3012	29	6	dpl	dpl	NOUN
ejpam-3012	29	7	model	model	NOUN
ejpam-3012	29	8	to	to	PART
ejpam-3012	29	9	modify	modify	VERB
ejpam-3012	29	10	classical	classical	ADJ
ejpam-3012	29	11	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	29	12	one	one	NUM
ejpam-3012	29	13	.	.	PUNCT
ejpam-3012	30	1	allam	allam	PROPN
ejpam-3012	30	2	et	et	PROPN
ejpam-3012	30	3	al	al	PROPN
ejpam-3012	30	4	.	.	PUNCT
ejpam-3012	31	1	[	[	X
ejpam-3012	31	2	14	14	NUM
ejpam-3012	31	3	,	,	PUNCT
ejpam-3012	31	4	15	15	NUM
ejpam-3012	31	5	]	]	PUNCT
ejpam-3012	31	6	used	use	VERB
ejpam-3012	31	7	green	green	ADJ
ejpam-3012	31	8	and	and	CCONJ
ejpam-3012	31	9	naghdi	naghdi	NOUN
ejpam-3012	31	10	model	model	NOUN
ejpam-3012	31	11	to	to	PART
ejpam-3012	31	12	deduce	deduce	VERB
ejpam-3012	31	13	1	1	NUM
ejpam-3012	31	14	-	-	PUNCT
ejpam-3012	31	15	d	d	NOUN
ejpam-3012	31	16	and	and	CCONJ
ejpam-3012	31	17	2	2	NUM
ejpam-3012	31	18	-	-	PUNCT
ejpam-3012	31	19	d	d	NOUN
ejpam-3012	31	20	problems	problem	NOUN
ejpam-3012	31	21	of	of	ADP
ejpam-3012	31	22	time	time	NOUN
ejpam-3012	31	23	-	-	PUNCT
ejpam-3012	31	24	dependent	dependent	ADJ
ejpam-3012	31	25	heat	heat	NOUN
ejpam-3012	31	26	source	source	NOUN
ejpam-3012	31	27	for	for	ADP
ejpam-3012	31	28	homogeneous	homogeneous	ADJ
ejpam-3012	31	29	perfectly	perfectly	ADV
ejpam-3012	31	30	conducting	conduct	VERB
ejpam-3012	31	31	electro	electro	ADJ
ejpam-3012	31	32	-	-	PUNCT
ejpam-3012	31	33	magnetothermo	magnetothermo	NOUN
ejpam-3012	31	34	-	-	PUNCT
ejpam-3012	31	35	elastic	elastic	ADJ
ejpam-3012	31	36	plate	plate	NOUN
ejpam-3012	31	37	and	and	CCONJ
ejpam-3012	31	38	infinitely	infinitely	ADV
ejpam-3012	31	39	long	long	ADJ
ejpam-3012	31	40	hollow	hollow	ADJ
ejpam-3012	31	41	cylinder	cylinder	NOUN
ejpam-3012	31	42	.	.	PUNCT
ejpam-3012	32	1	sherief	sherief	NOUN
ejpam-3012	32	2	and	and	CCONJ
ejpam-3012	32	3	ezzat	ezzat	ADJ
ejpam-3012	32	4	[	[	X
ejpam-3012	32	5	23	23	NUM
ejpam-3012	32	6	]	]	PUNCT
ejpam-3012	32	7	used	use	VERB
ejpam-3012	32	8	the	the	DET
ejpam-3012	32	9	lord	lord	PROPN
ejpam-3012	32	10	-	-	PUNCT
ejpam-3012	32	11	shulman	shulman	PROPN
ejpam-3012	32	12	theory	theory	NOUN
ejpam-3012	32	13	to	to	PART
ejpam-3012	32	14	discuss	discuss	VERB
ejpam-3012	32	15	the	the	DET
ejpam-3012	32	16	response	response	NOUN
ejpam-3012	32	17	of	of	ADP
ejpam-3012	32	18	infinitely	infinitely	ADV
ejpam-3012	32	19	long	long	ADJ
ejpam-3012	32	20	magneto	magneto	NOUN
ejpam-3012	32	21	-	-	PUNCT
ejpam-3012	32	22	thermo	thermo	NOUN
ejpam-3012	32	23	-	-	PUNCT
ejpam-3012	32	24	elastic	elastic	ADJ
ejpam-3012	32	25	conducting	conduct	VERB
ejpam-3012	32	26	annular	annular	ADJ
ejpam-3012	32	27	cylinders	cylinder	NOUN
ejpam-3012	32	28	.	.	PUNCT
ejpam-3012	33	1	santwana	santwana	PROPN
ejpam-3012	33	2	and	and	CCONJ
ejpam-3012	33	3	roychoudhuri	roychoudhuri	PROPN
ejpam-3012	33	4	[	[	X
ejpam-3012	33	5	21	21	NUM
ejpam-3012	33	6	]	]	PUNCT
ejpam-3012	33	7	presented	present	VERB
ejpam-3012	33	8	magneto	magneto	ADJ
ejpam-3012	33	9	-	-	PUNCT
ejpam-3012	33	10	thermoelastic	thermoelastic	ADJ
ejpam-3012	33	11	interactions	interaction	NOUN
ejpam-3012	33	12	in	in	ADP
ejpam-3012	33	13	infinitely	infinitely	ADV
ejpam-3012	33	14	cylinders	cylinder	NOUN
ejpam-3012	33	15	under	under	ADP
ejpam-3012	33	16	periodic	periodic	ADJ
ejpam-3012	33	17	loading	loading	NOUN
ejpam-3012	33	18	.	.	PUNCT
ejpam-3012	34	1	tianhu	tianhu	PROPN
ejpam-3012	34	2	et	et	PROPN
ejpam-3012	34	3	al	al	PROPN
ejpam-3012	34	4	.	.	PUNCT
ejpam-3012	35	1	[	[	X
ejpam-3012	35	2	10	10	NUM
ejpam-3012	35	3	]	]	PUNCT
ejpam-3012	35	4	used	use	VERB
ejpam-3012	35	5	lord	lord	PROPN
ejpam-3012	35	6	and	and	CCONJ
ejpam-3012	35	7	shulman	shulman	PROPN
ejpam-3012	35	8	theory	theory	PROPN
ejpam-3012	35	9	to	to	PART
ejpam-3012	35	10	investigate	investigate	VERB
ejpam-3012	35	11	electro	electro	ADJ
ejpam-3012	35	12	-	-	PUNCT
ejpam-3012	35	13	magneto	magneto	VERB
ejpam-3012	35	14	-	-	PUNCT
ejpam-3012	35	15	thermo	thermo	NOUN
ejpam-3012	35	16	-	-	PUNCT
ejpam-3012	35	17	elastic	elastic	ADJ
ejpam-3012	35	18	interactions	interaction	NOUN
ejpam-3012	35	19	in	in	ADP
ejpam-3012	35	20	perfectly	perfectly	ADV
ejpam-3012	35	21	conducting	conduct	VERB
ejpam-3012	35	22	solid	solid	ADJ
ejpam-3012	35	23	cylinder	cylinder	NOUN
ejpam-3012	35	24	.	.	PUNCT
ejpam-3012	36	1	sadeq	sadeq	PROPN
ejpam-3012	36	2	et	et	PROPN
ejpam-3012	36	3	al	al	PROPN
ejpam-3012	36	4	.	.	PUNCT
ejpam-3012	37	1	[	[	X
ejpam-3012	37	2	16	16	NUM
ejpam-3012	37	3	]	]	PUNCT
ejpam-3012	37	4	investigated	investigate	VERB
ejpam-3012	37	5	the	the	DET
ejpam-3012	37	6	steady	steady	ADJ
ejpam-3012	37	7	state	state	NOUN
ejpam-3012	37	8	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	37	9	of	of	ADP
ejpam-3012	37	10	hollow	hollow	ADJ
ejpam-3012	37	11	nanospheres	nanosphere	NOUN
ejpam-3012	37	12	.	.	PUNCT
ejpam-3012	38	1	abouelregal	abouelregal	ADJ
ejpam-3012	38	2	and	and	CCONJ
ejpam-3012	38	3	abo	abo	NOUN
ejpam-3012	38	4	-	-	PUNCT
ejpam-3012	38	5	dahab	dahab	NOUN
ejpam-3012	38	6	[	[	X
ejpam-3012	38	7	4	4	NUM
ejpam-3012	38	8	]	]	PUNCT
ejpam-3012	38	9	presented	present	VERB
ejpam-3012	38	10	dpl	dpl	PROPN
ejpam-3012	38	11	model	model	NOUN
ejpam-3012	38	12	to	to	PART
ejpam-3012	38	13	investigate	investigate	VERB
ejpam-3012	38	14	magneto	magneto	NOUN
ejpam-3012	38	15	-	-	PUNCT
ejpam-3012	38	16	thermo	thermo	NOUN
ejpam-3012	38	17	-	-	PUNCT
ejpam-3012	38	18	elastic	elastic	ADJ
ejpam-3012	38	19	solid	solid	ADJ
ejpam-3012	38	20	with	with	ADP
ejpam-3012	38	21	spherical	spherical	ADJ
ejpam-3012	38	22	cavity	cavity	NOUN
ejpam-3012	38	23	.	.	PUNCT
ejpam-3012	39	1	abouelregal	abouelregal	ADJ
ejpam-3012	39	2	and	and	CCONJ
ejpam-3012	39	3	abo	abo	NOUN
ejpam-3012	39	4	-	-	PUNCT
ejpam-3012	39	5	dahab	dahab	NOUN
ejpam-3012	40	1	[	[	X
ejpam-3012	40	2	5	5	NUM
ejpam-3012	40	3	]	]	PUNCT
ejpam-3012	40	4	used	use	VERB
ejpam-3012	40	5	dpls	dpls	NOUN
ejpam-3012	40	6	model	model	NOUN
ejpam-3012	40	7	to	to	PART
ejpam-3012	40	8	study	study	VERB
ejpam-3012	40	9	the	the	DET
ejpam-3012	40	10	diffusion	diffusion	NOUN
ejpam-3012	40	11	on	on	ADP
ejpam-3012	40	12	electro	electro	ADJ
ejpam-3012	40	13	-	-	PUNCT
ejpam-3012	40	14	magneto	magneto	NOUN
ejpam-3012	40	15	-	-	PUNCT
ejpam-3012	40	16	thermo	thermo	NOUN
ejpam-3012	40	17	-	-	PUNCT
ejpam-3012	40	18	elastic	elastic	ADJ
ejpam-3012	40	19	solid	solid	ADJ
ejpam-3012	40	20	cylinder	cylinder	NOUN
ejpam-3012	40	21	.	.	PUNCT
ejpam-3012	41	1	abbas	abbas	PROPN
ejpam-3012	41	2	and	and	CCONJ
ejpam-3012	41	3	zenkour	zenkour	PRON
ejpam-3012	42	1	[	[	X
ejpam-3012	42	2	2	2	NUM
ejpam-3012	42	3	]	]	PUNCT
ejpam-3012	42	4	and	and	CCONJ
ejpam-3012	42	5	zenkour	zenkour	NOUN
ejpam-3012	42	6	and	and	CCONJ
ejpam-3012	42	7	abbas	abbas	PROPN
ejpam-3012	42	8	[	[	X
ejpam-3012	42	9	30	30	NUM
ejpam-3012	42	10	]	]	PUNCT
ejpam-3012	42	11	used	use	VERB
ejpam-3012	42	12	different	different	ADJ
ejpam-3012	42	13	theories	theory	NOUN
ejpam-3012	42	14	to	to	PART
ejpam-3012	42	15	discuss	discuss	VERB
ejpam-3012	42	16	electro	electro	VERB
ejpam-3012	42	17	-	-	PUNCT
ejpam-3012	42	18	magneto	magneto	ADJ
ejpam-3012	42	19	-	-	PUNCT
ejpam-3012	42	20	thermoelastic	thermoelastic	ADJ
ejpam-3012	42	21	effects	effect	NOUN
ejpam-3012	42	22	on	on	ADP
ejpam-3012	42	23	bending	bend	VERB
ejpam-3012	42	24	of	of	ADP
ejpam-3012	42	25	functionally	functionally	ADV
ejpam-3012	42	26	graded	grade	VERB
ejpam-3012	42	27	cylinders	cylinder	NOUN
ejpam-3012	42	28	.	.	PUNCT
ejpam-3012	43	1	if	if	SCONJ
ejpam-3012	43	2	,	,	PUNCT
ejpam-3012	43	3	instead	instead	ADV
ejpam-3012	43	4	of	of	ADP
ejpam-3012	43	5	heating	heat	VERB
ejpam-3012	43	6	a	a	DET
ejpam-3012	43	7	single	single	ADJ
ejpam-3012	43	8	junction	junction	NOUN
ejpam-3012	43	9	,	,	PUNCT
ejpam-3012	43	10	one	one	PRON
ejpam-3012	43	11	heats	heat	VERB
ejpam-3012	43	12	both	both	DET
ejpam-3012	43	13	junctions	junction	NOUN
ejpam-3012	43	14	of	of	ADP
ejpam-3012	43	15	circuit	circuit	NOUN
ejpam-3012	43	16	equally	equally	ADV
ejpam-3012	43	17	,	,	PUNCT
ejpam-3012	43	18	the	the	DET
ejpam-3012	43	19	current	current	ADJ
ejpam-3012	43	20	stops	stop	NOUN
ejpam-3012	43	21	flowing	flow	VERB
ejpam-3012	43	22	.	.	PUNCT
ejpam-3012	44	1	again	again	ADV
ejpam-3012	44	2	,	,	PUNCT
ejpam-3012	44	3	however	however	ADV
ejpam-3012	44	4	,	,	PUNCT
ejpam-3012	44	5	the	the	DET
ejpam-3012	44	6	current	current	ADJ
ejpam-3012	44	7	density	density	NOUN
ejpam-3012	44	8	will	will	AUX
ejpam-3012	44	9	increase	increase	VERB
ejpam-3012	44	10	with	with	ADP
ejpam-3012	44	11	an	an	DET
ejpam-3012	44	12	increasing	increase	VERB
ejpam-3012	44	13	temperature	temperature	NOUN
ejpam-3012	44	14	difference	difference	NOUN
ejpam-3012	44	15	between	between	ADP
ejpam-3012	44	16	the	the	DET
ejpam-3012	44	17	junctions	junction	NOUN
ejpam-3012	44	18	[	[	X
ejpam-3012	44	19	18	18	NUM
ejpam-3012	44	20	]	]	PUNCT
ejpam-3012	44	21	.	.	PUNCT
ejpam-3012	45	1	the	the	DET
ejpam-3012	45	2	flow	flow	NOUN
ejpam-3012	45	3	of	of	ADP
ejpam-3012	45	4	electricity	electricity	NOUN
ejpam-3012	45	5	caused	cause	VERB
ejpam-3012	45	6	by	by	ADP
ejpam-3012	45	7	heating	heating	NOUN
ejpam-3012	45	8	does	do	AUX
ejpam-3012	45	9	not	not	PART
ejpam-3012	45	10	necessarily	necessarily	ADV
ejpam-3012	45	11	depend	depend	VERB
ejpam-3012	45	12	on	on	ADP
ejpam-3012	45	13	presence	presence	NOUN
ejpam-3012	45	14	of	of	ADP
ejpam-3012	45	15	two	two	NUM
ejpam-3012	45	16	different	different	ADJ
ejpam-3012	45	17	metals	metal	NOUN
ejpam-3012	45	18	.	.	PUNCT
ejpam-3012	46	1	as	as	SCONJ
ejpam-3012	46	2	shown	show	VERB
ejpam-3012	46	3	by	by	ADP
ejpam-3012	46	4	thomson	thomson	PROPN
ejpam-3012	46	5	,	,	PUNCT
ejpam-3012	46	6	a	a	DET
ejpam-3012	46	7	similar	similar	ADJ
ejpam-3012	46	8	phenomenon	phenomenon	NOUN
ejpam-3012	46	9	is	be	AUX
ejpam-3012	46	10	observed	observe	VERB
ejpam-3012	46	11	in	in	ADP
ejpam-3012	46	12	a	a	DET
ejpam-3012	46	13	homogenous	homogenous	ADJ
ejpam-3012	46	14	material	material	NOUN
ejpam-3012	46	15	if	if	SCONJ
ejpam-3012	46	16	the	the	DET
ejpam-3012	46	17	latter	latter	ADJ
ejpam-3012	46	18	is	be	AUX
ejpam-3012	46	19	subjected	subject	VERB
ejpam-3012	46	20	to	to	ADP
ejpam-3012	46	21	non	non	ADJ
ejpam-3012	46	22	-	-	ADJ
ejpam-3012	46	23	uniform	uniform	ADJ
ejpam-3012	46	24	temperature	temperature	NOUN
ejpam-3012	46	25	field	field	NOUN
ejpam-3012	46	26	.	.	PUNCT
ejpam-3012	47	1	as	as	ADP
ejpam-3012	47	2	a	a	DET
ejpam-3012	47	3	first	first	ADJ
ejpam-3012	47	4	approximation	approximation	NOUN
ejpam-3012	47	5	,	,	PUNCT
ejpam-3012	47	6	it	it	PRON
ejpam-3012	47	7	is	be	AUX
ejpam-3012	47	8	permissible	permissible	ADJ
ejpam-3012	47	9	to	to	PART
ejpam-3012	47	10	assume	assume	VERB
ejpam-3012	47	11	a	a	DET
ejpam-3012	47	12	linear	linear	ADJ
ejpam-3012	47	13	dependence	dependence	NOUN
ejpam-3012	47	14	of	of	ADP
ejpam-3012	47	15	the	the	DET
ejpam-3012	47	16	current	current	NOUN
ejpam-3012	47	17	induced	induce	VERB
ejpam-3012	47	18	by	by	ADP
ejpam-3012	47	19	heating	heat	VERB
ejpam-3012	47	20	on	on	ADP
ejpam-3012	47	21	the	the	DET
ejpam-3012	47	22	temperature	temperature	NOUN
ejpam-3012	47	23	gradient	gradient	NOUN
ejpam-3012	47	24	,	,	PUNCT
ejpam-3012	47	25	due	due	ADP
ejpam-3012	47	26	to	to	ADP
ejpam-3012	47	27	the	the	DET
ejpam-3012	47	28	fact	fact	NOUN
ejpam-3012	47	29	that	that	SCONJ
ejpam-3012	47	30	in	in	ADP
ejpam-3012	47	31	most	most	ADJ
ejpam-3012	47	32	particle	particle	NOUN
ejpam-3012	47	33	situations	situation	NOUN
ejpam-3012	47	34	the	the	DET
ejpam-3012	47	35	gradient	gradient	NOUN
ejpam-3012	47	36	is	be	AUX
ejpam-3012	47	37	small	small	ADJ
ejpam-3012	48	1	[	[	X
ejpam-3012	48	2	12	12	NUM
ejpam-3012	48	3	]	]	PUNCT
ejpam-3012	48	4	.	.	PUNCT
ejpam-3012	49	1	temperature	temperature	NOUN
ejpam-3012	49	2	-	-	PUNCT
ejpam-3012	49	3	dependent	dependent	ADJ
ejpam-3012	49	4	measurements	measurement	NOUN
ejpam-3012	49	5	of	of	ADP
ejpam-3012	49	6	material	material	NOUN
ejpam-3012	49	7	properties	property	NOUN
ejpam-3012	49	8	should	should	AUX
ejpam-3012	49	9	be	be	AUX
ejpam-3012	49	10	taken	take	VERB
ejpam-3012	49	11	into	into	ADP
ejpam-3012	49	12	account	account	NOUN
ejpam-3012	49	13	due	due	ADP
ejpam-3012	49	14	to	to	ADP
ejpam-3012	49	15	progress	progress	NOUN
ejpam-3012	49	16	in	in	ADP
ejpam-3012	49	17	different	different	ADJ
ejpam-3012	49	18	fields	field	NOUN
ejpam-3012	49	19	in	in	ADP
ejpam-3012	49	20	techno	techno	NOUN
ejpam-3012	49	21	-	-	PUNCT
ejpam-3012	49	22	structures	structure	NOUN
ejpam-3012	49	23	[	[	X
ejpam-3012	49	24	1	1	NUM
ejpam-3012	49	25	,	,	PUNCT
ejpam-3012	49	26	3	3	NUM
ejpam-3012	49	27	,	,	PUNCT
ejpam-3012	49	28	7	7	NUM
ejpam-3012	49	29	,	,	PUNCT
ejpam-3012	49	30	19	19	NUM
ejpam-3012	49	31	,	,	PUNCT
ejpam-3012	49	32	26	26	NUM
ejpam-3012	49	33	,	,	PUNCT
ejpam-3012	49	34	28	28	NUM
ejpam-3012	49	35	,	,	PUNCT
ejpam-3012	49	36	29	29	NUM
ejpam-3012	49	37	,	,	PUNCT
ejpam-3012	49	38	31	31	NUM
ejpam-3012	49	39	,	,	PUNCT
ejpam-3012	49	40	32	32	NUM
ejpam-3012	49	41	]	]	PUNCT
ejpam-3012	49	42	.	.	PUNCT
ejpam-3012	50	1	all	all	DET
ejpam-3012	50	2	mentioned	mention	VERB
ejpam-3012	50	3	investigations	investigation	NOUN
ejpam-3012	50	4	are	be	AUX
ejpam-3012	50	5	restricted	restrict	VERB
ejpam-3012	50	6	to	to	ADP
ejpam-3012	50	7	only	only	ADV
ejpam-3012	50	8	electromagneto	electromagneto	NOUN
ejpam-3012	50	9	-	-	PUNCT
ejpam-3012	50	10	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	50	11	analysis	analysis	NOUN
ejpam-3012	50	12	.	.	PUNCT
ejpam-3012	51	1	no	no	DET
ejpam-3012	51	2	efforts	effort	NOUN
ejpam-3012	51	3	have	have	AUX
ejpam-3012	51	4	been	be	AUX
ejpam-3012	51	5	made	make	VERB
ejpam-3012	51	6	to	to	PART
ejpam-3012	51	7	consider	consider	VERB
ejpam-3012	51	8	effects	effect	NOUN
ejpam-3012	51	9	of	of	ADP
ejpam-3012	51	10	induced	induced	ADJ
ejpam-3012	51	11	magnetic	magnetic	ADJ
ejpam-3012	51	12	and	and	CCONJ
ejpam-3012	51	13	electric	electric	ADJ
ejpam-3012	51	14	fields	field	NOUN
ejpam-3012	51	15	taking	take	VERB
ejpam-3012	51	16	into	into	ADP
ejpam-3012	51	17	consideration	consideration	NOUN
ejpam-3012	51	18	the	the	DET
ejpam-3012	51	19	effects	effect	NOUN
ejpam-3012	51	20	of	of	ADP
ejpam-3012	51	21	modified	modify	VERB
ejpam-3012	51	22	ohm	ohm	NOUN
ejpam-3012	51	23	’s	’s	PART
ejpam-3012	51	24	and	and	CCONJ
ejpam-3012	51	25	fouriers	fourier	NOUN
ejpam-3012	51	26	laws	law	NOUN
ejpam-3012	51	27	and	and	CCONJ
ejpam-3012	51	28	seebeck	seebeck	PROPN
ejpam-3012	51	29	coefficient	coefficient	PROPN
ejpam-3012	51	30	.	.	PUNCT
ejpam-3012	52	1	the	the	DET
ejpam-3012	52	2	present	present	ADJ
ejpam-3012	52	3	article	article	NOUN
ejpam-3012	52	4	investigates	investigate	VERB
ejpam-3012	52	5	the	the	DET
ejpam-3012	52	6	dpl	dpl	PROPN
ejpam-3012	52	7	model	model	NOUN
ejpam-3012	52	8	to	to	PART
ejpam-3012	52	9	discuss	discuss	VERB
ejpam-3012	52	10	electro	electro	ADJ
ejpam-3012	52	11	-	-	PUNCT
ejpam-3012	52	12	magnetothermo	magnetothermo	NOUN
ejpam-3012	52	13	-	-	PUNCT
ejpam-3012	52	14	elastic	elastic	ADJ
ejpam-3012	52	15	interactions	interaction	NOUN
ejpam-3012	52	16	in	in	ADP
ejpam-3012	52	17	an	an	DET
ejpam-3012	52	18	isotropic	isotropic	NOUN
ejpam-3012	52	19	infinite	infinite	ADJ
ejpam-3012	52	20	conducting	conduct	VERB
ejpam-3012	52	21	cylinder	cylinder	NOUN
ejpam-3012	52	22	with	with	ADP
ejpam-3012	52	23	temperaturedependent	temperaturedependent	ADJ
ejpam-3012	52	24	thermal	thermal	ADJ
ejpam-3012	52	25	conductivity	conductivity	NOUN
ejpam-3012	52	26	.	.	PUNCT
ejpam-3012	53	1	the	the	DET
ejpam-3012	53	2	cylinder	cylinder	NOUN
ejpam-3012	53	3	is	be	AUX
ejpam-3012	53	4	placed	place	VERB
ejpam-3012	53	5	in	in	ADP
ejpam-3012	53	6	primary	primary	ADJ
ejpam-3012	53	7	magnetic	magnetic	ADJ
ejpam-3012	53	8	field	field	NOUN
ejpam-3012	53	9	and	and	CCONJ
ejpam-3012	53	10	its	its	PRON
ejpam-3012	53	11	curved	curved	ADJ
ejpam-3012	53	12	surface	surface	NOUN
ejpam-3012	53	13	is	be	AUX
ejpam-3012	53	14	considered	consider	VERB
ejpam-3012	53	15	traction	traction	NOUN
ejpam-3012	53	16	free	free	ADJ
ejpam-3012	53	17	.	.	PUNCT
ejpam-3012	54	1	the	the	DET
ejpam-3012	54	2	cylinder	cylinder	NOUN
ejpam-3012	54	3	is	be	AUX
ejpam-3012	54	4	deforming	deform	VERB
ejpam-3012	54	5	due	due	ADJ
ejpam-3012	54	6	to	to	ADP
ejpam-3012	54	7	thermal	thermal	ADJ
ejpam-3012	54	8	shock	shock	NOUN
ejpam-3012	54	9	and	and	CCONJ
ejpam-3012	54	10	magnetic	magnetic	ADJ
ejpam-3012	54	11	field	field	NOUN
ejpam-3012	54	12	to	to	PART
ejpam-3012	54	13	produce	produce	VERB
ejpam-3012	54	14	induced	induce	VERB
ejpam-3012	54	15	magnetic	magnetic	ADJ
ejpam-3012	54	16	and	and	CCONJ
ejpam-3012	54	17	electric	electric	ADJ
ejpam-3012	54	18	fields	field	NOUN
ejpam-3012	54	19	.	.	PUNCT
ejpam-3012	55	1	displacement	displacement	NOUN
ejpam-3012	55	2	,	,	PUNCT
ejpam-3012	55	3	temperature	temperature	NOUN
ejpam-3012	55	4	and	and	CCONJ
ejpam-3012	55	5	thermal	thermal	ADJ
ejpam-3012	55	6	moment	moment	NOUN
ejpam-3012	55	7	are	be	AUX
ejpam-3012	55	8	numerically	numerically	ADV
ejpam-3012	55	9	illustrated	illustrate	VERB
ejpam-3012	55	10	at	at	ADP
ejpam-3012	55	11	different	different	ADJ
ejpam-3012	55	12	positions	position	NOUN
ejpam-3012	55	13	of	of	ADP
ejpam-3012	55	14	the	the	DET
ejpam-3012	55	15	medium	medium	NOUN
ejpam-3012	55	16	.	.	PUNCT
ejpam-3012	56	1	induced	induce	VERB
ejpam-3012	56	2	magnetic	magnetic	ADJ
ejpam-3012	56	3	,	,	PUNCT
ejpam-3012	56	4	electric	electric	ADJ
ejpam-3012	56	5	and	and	CCONJ
ejpam-3012	56	6	perturbed	perturb	VERB
ejpam-3012	56	7	magnetic	magnetic	ADJ
ejpam-3012	56	8	fields	field	NOUN
ejpam-3012	56	9	in	in	ADP
ejpam-3012	56	10	surrounding	surround	VERB
ejpam-3012	56	11	free	free	ADJ
ejpam-3012	56	12	space	space	NOUN
ejpam-3012	56	13	are	be	AUX
ejpam-3012	56	14	also	also	ADV
ejpam-3012	56	15	represented	represent	VERB
ejpam-3012	56	16	.	.	PUNCT
ejpam-3012	57	1	all	all	PRON
ejpam-3012	57	2	considered	consider	VERB
ejpam-3012	57	3	variables	variable	NOUN
ejpam-3012	57	4	are	be	AUX
ejpam-3012	57	5	graphically	graphically	ADV
ejpam-3012	57	6	displayed	display	VERB
ejpam-3012	57	7	and	and	CCONJ
ejpam-3012	57	8	results	result	NOUN
ejpam-3012	57	9	are	be	AUX
ejpam-3012	57	10	comprehensively	comprehensively	ADV
ejpam-3012	57	11	discussed	discuss	VERB
ejpam-3012	57	12	.	.	PUNCT
ejpam-3012	58	1	a.	a.	PROPN
ejpam-3012	58	2	m.	m.	NOUN
ejpam-3012	58	3	zenkour	zenkour	PROPN
ejpam-3012	58	4	et	et	PROPN
ejpam-3012	58	5	al	al	PROPN
ejpam-3012	58	6	.	.	PUNCT
ejpam-3012	58	7	/	/	SYM
ejpam-3012	58	8	eur	eur	PROPN
ejpam-3012	58	9	.	.	PUNCT
ejpam-3012	59	1	j.	j.	PROPN
ejpam-3012	59	2	pure	pure	PROPN
ejpam-3012	59	3	appl	appl	PROPN
ejpam-3012	59	4	.	.	PROPN
ejpam-3012	59	5	math	math	PROPN
ejpam-3012	59	6	,	,	PUNCT
ejpam-3012	59	7	10	10	NUM
ejpam-3012	59	8	(	(	PUNCT
ejpam-3012	59	9	4	4	NUM
ejpam-3012	59	10	)	)	PUNCT
ejpam-3012	59	11	(	(	PUNCT
ejpam-3012	59	12	2017	2017	NUM
ejpam-3012	59	13	)	)	PUNCT
ejpam-3012	59	14	,	,	PUNCT
ejpam-3012	59	15	786	786	NUM
ejpam-3012	59	16	-	-	SYM
ejpam-3012	59	17	808	808	NUM
ejpam-3012	59	18	788	788	NUM
ejpam-3012	59	19	2	2	NUM
ejpam-3012	59	20	.	.	PUNCT
ejpam-3012	59	21	basic	basic	ADJ
ejpam-3012	59	22	equations	equation	NOUN
ejpam-3012	59	23	in	in	ADP
ejpam-3012	59	24	magneto	magneto	NOUN
ejpam-3012	59	25	-	-	PUNCT
ejpam-3012	59	26	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	59	27	equations	equation	NOUN
ejpam-3012	59	28	of	of	ADP
ejpam-3012	59	29	electrodynamics	electrodynamic	NOUN
ejpam-3012	59	30	are	be	AUX
ejpam-3012	59	31	linearly	linearly	ADV
ejpam-3012	59	32	simplified	simplify	VERB
ejpam-3012	59	33	for	for	ADP
ejpam-3012	59	34	a	a	DET
ejpam-3012	59	35	perfect	perfect	ADJ
ejpam-3012	59	36	homogeneous	homogeneous	ADJ
ejpam-3012	59	37	conducting	conduct	VERB
ejpam-3012	59	38	elastic	elastic	ADJ
ejpam-3012	59	39	solid	solid	ADJ
ejpam-3012	59	40	due	due	ADJ
ejpam-3012	59	41	to	to	ADP
ejpam-3012	59	42	maxwell	maxwell	PROPN
ejpam-3012	59	43	’s	’s	PART
ejpam-3012	59	44	equations	equation	NOUN
ejpam-3012	59	45	as	as	ADP
ejpam-3012	59	46	∇×	∇×	NOUN
ejpam-3012	59	47	h	h	NOUN
ejpam-3012	60	1	=	=	SYM
ejpam-3012	60	2	j	j	PROPN
ejpam-3012	60	3	+	+	CCONJ
ejpam-3012	60	4	∂d	∂d	PROPN
ejpam-3012	60	5	∂t	∂t	PROPN
ejpam-3012	60	6	,	,	PUNCT
ejpam-3012	60	7	∇	∇	X
ejpam-3012	60	8	·	·	SYM
ejpam-3012	60	9	b	b	X
ejpam-3012	60	10	=	=	SYM
ejpam-3012	60	11	0	0	NUM
ejpam-3012	60	12	,	,	PUNCT
ejpam-3012	60	13	b	b	X
ejpam-3012	60	14	=	=	SYM
ejpam-3012	60	15	µ0h	µ0h	PROPN
ejpam-3012	60	16	,	,	PUNCT
ejpam-3012	60	17	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3012	60	18	∇×e	∇×e	NOUN
ejpam-3012	60	19	=	=	SYM
ejpam-3012	61	1	−∂b	−∂b	NUM
ejpam-3012	61	2	∂t	∂t	PROPN
ejpam-3012	61	3	,	,	PUNCT
ejpam-3012	61	4	∇	∇	X
ejpam-3012	61	5	·	·	PUNCT
ejpam-3012	61	6	d	d	X
ejpam-3012	61	7	=	=	SYM
ejpam-3012	61	8	ρe	ρe	PROPN
ejpam-3012	61	9	,	,	PUNCT
ejpam-3012	61	10	d	d	PROPN
ejpam-3012	61	11	=	=	SYM
ejpam-3012	61	12	ε0e	ε0e	PROPN
ejpam-3012	61	13	,	,	PUNCT
ejpam-3012	61	14	(	(	PUNCT
ejpam-3012	61	15	1	1	X
ejpam-3012	61	16	)	)	PUNCT
ejpam-3012	61	17	where	where	SCONJ
ejpam-3012	61	18	µ0	µ0	NOUN
ejpam-3012	61	19	denotes	denote	VERB
ejpam-3012	61	20	magnetic	magnetic	ADJ
ejpam-3012	61	21	permeability	permeability	NOUN
ejpam-3012	61	22	and	and	CCONJ
ejpam-3012	61	23	ε0	ε0	PROPN
ejpam-3012	61	24	denotes	denote	NOUN
ejpam-3012	61	25	electric	electric	ADJ
ejpam-3012	61	26	permeability	permeability	NOUN
ejpam-3012	61	27	,	,	PUNCT
ejpam-3012	61	28	j	j	PROPN
ejpam-3012	61	29	denotes	denote	VERB
ejpam-3012	61	30	current	current	ADJ
ejpam-3012	61	31	density	density	NOUN
ejpam-3012	61	32	vector	vector	NOUN
ejpam-3012	61	33	,	,	PUNCT
ejpam-3012	61	34	e	e	PROPN
ejpam-3012	61	35	denotes	denote	NOUN
ejpam-3012	61	36	induced	induce	VERB
ejpam-3012	61	37	electric	electric	ADJ
ejpam-3012	61	38	field	field	NOUN
ejpam-3012	61	39	,	,	PUNCT
ejpam-3012	61	40	b	b	NOUN
ejpam-3012	62	1	and	and	CCONJ
ejpam-3012	62	2	d	d	AUX
ejpam-3012	62	3	represent	represent	VERB
ejpam-3012	62	4	magnetic	magnetic	ADJ
ejpam-3012	62	5	and	and	CCONJ
ejpam-3012	62	6	electric	electric	ADJ
ejpam-3012	62	7	induction	induction	NOUN
ejpam-3012	62	8	vectors	vector	NOUN
ejpam-3012	62	9	,	,	PUNCT
ejpam-3012	62	10	ρe	ρe	PROPN
ejpam-3012	62	11	is	be	AUX
ejpam-3012	62	12	charge	charge	NOUN
ejpam-3012	62	13	(	(	PUNCT
ejpam-3012	62	14	electric	electric	ADJ
ejpam-3012	62	15	current	current	ADJ
ejpam-3012	62	16	)	)	PUNCT
ejpam-3012	62	17	density	density	NOUN
ejpam-3012	62	18	,	,	PUNCT
ejpam-3012	62	19	h	h	NOUN
ejpam-3012	62	20	=	=	PROPN
ejpam-3012	62	21	h0	h0	PROPN
ejpam-3012	62	22	+	+	CCONJ
ejpam-3012	62	23	h	h	NOUN
ejpam-3012	62	24	in	in	ADP
ejpam-3012	62	25	which	which	PRON
ejpam-3012	62	26	h0	h0	NOUN
ejpam-3012	62	27	denotes	denote	NOUN
ejpam-3012	62	28	applied	apply	VERB
ejpam-3012	62	29	magnetic	magnetic	ADJ
ejpam-3012	62	30	field	field	NOUN
ejpam-3012	62	31	and	and	CCONJ
ejpam-3012	62	32	h	h	NOUN
ejpam-3012	62	33	denotes	denote	NOUN
ejpam-3012	62	34	perturbation	perturbation	NOUN
ejpam-3012	62	35	occurred	occur	VERB
ejpam-3012	62	36	in	in	ADP
ejpam-3012	62	37	total	total	ADJ
ejpam-3012	62	38	magnetic	magnetic	ADJ
ejpam-3012	62	39	field	field	NOUN
ejpam-3012	62	40	by	by	ADP
ejpam-3012	62	41	induction	induction	NOUN
ejpam-3012	62	42	.	.	PUNCT
ejpam-3012	63	1	in	in	ADP
ejpam-3012	63	2	addition	addition	NOUN
ejpam-3012	63	3	to	to	ADP
ejpam-3012	63	4	the	the	DET
ejpam-3012	63	5	above	above	ADJ
ejpam-3012	63	6	field	field	NOUN
ejpam-3012	63	7	equations	equation	NOUN
ejpam-3012	63	8	,	,	PUNCT
ejpam-3012	63	9	the	the	DET
ejpam-3012	63	10	first	first	ADJ
ejpam-3012	63	11	hypothesis	hypothesis	NOUN
ejpam-3012	63	12	of	of	ADP
ejpam-3012	63	13	ohm	ohm	NOUN
ejpam-3012	63	14	’s	’s	PART
ejpam-3012	63	15	law	law	NOUN
ejpam-3012	63	16	for	for	ADP
ejpam-3012	63	17	moving	move	VERB
ejpam-3012	63	18	media	medium	NOUN
ejpam-3012	63	19	represents	represent	VERB
ejpam-3012	63	20	one	one	NUM
ejpam-3012	63	21	of	of	ADP
ejpam-3012	63	22	the	the	DET
ejpam-3012	63	23	constitutive	constitutive	ADJ
ejpam-3012	63	24	equations	equation	NOUN
ejpam-3012	63	25	j	j	PROPN
ejpam-3012	64	1	=	=	SYM
ejpam-3012	64	2	σ0	σ0	PROPN
ejpam-3012	64	3	(	(	PUNCT
ejpam-3012	64	4	e	e	NOUN
ejpam-3012	64	5	+	+	CCONJ
ejpam-3012	64	6	µ0	µ0	NOUN
ejpam-3012	64	7	∂u	∂u	PROPN
ejpam-3012	64	8	∂t	∂t	PROPN
ejpam-3012	64	9	×h0	×h0	PROPN
ejpam-3012	64	10	)	)	PUNCT
ejpam-3012	64	11	,	,	PUNCT
ejpam-3012	64	12	(	(	PUNCT
ejpam-3012	64	13	2	2	X
ejpam-3012	64	14	)	)	PUNCT
ejpam-3012	64	15	which	which	PRON
ejpam-3012	64	16	turns	turn	VERB
ejpam-3012	64	17	out	out	ADP
ejpam-3012	64	18	to	to	PART
ejpam-3012	64	19	be	be	AUX
ejpam-3012	64	20	true	true	ADJ
ejpam-3012	64	21	only	only	ADJ
ejpam-3012	64	22	isothermal	isothermal	ADJ
ejpam-3012	64	23	conditions	condition	NOUN
ejpam-3012	64	24	;	;	PUNCT
ejpam-3012	64	25	if	if	SCONJ
ejpam-3012	64	26	a	a	DET
ejpam-3012	64	27	conductor	conductor	NOUN
ejpam-3012	64	28	(	(	PUNCT
ejpam-3012	64	29	say	say	INTJ
ejpam-3012	64	30	,	,	PUNCT
ejpam-3012	64	31	a	a	DET
ejpam-3012	64	32	metal	metal	NOUN
ejpam-3012	64	33	)	)	PUNCT
ejpam-3012	64	34	is	be	AUX
ejpam-3012	64	35	heated	heat	VERB
ejpam-3012	64	36	non	non	ADJ
ejpam-3012	64	37	-	-	ADJ
ejpam-3012	64	38	uniformly	uniformly	ADJ
ejpam-3012	64	39	,	,	PUNCT
ejpam-3012	64	40	the	the	DET
ejpam-3012	64	41	relation	relation	NOUN
ejpam-3012	64	42	becomes	become	VERB
ejpam-3012	64	43	more	more	ADV
ejpam-3012	64	44	complicated	complicated	ADJ
ejpam-3012	64	45	.	.	PUNCT
ejpam-3012	65	1	suppose	suppose	VERB
ejpam-3012	65	2	,	,	PUNCT
ejpam-3012	65	3	for	for	ADP
ejpam-3012	65	4	example	example	NOUN
ejpam-3012	65	5	,	,	PUNCT
ejpam-3012	65	6	that	that	SCONJ
ejpam-3012	65	7	one	one	NUM
ejpam-3012	65	8	heat	heat	VERB
ejpam-3012	65	9	a	a	DET
ejpam-3012	65	10	single	single	ADJ
ejpam-3012	65	11	junction	junction	NOUN
ejpam-3012	65	12	of	of	ADP
ejpam-3012	65	13	closed	closed	ADJ
ejpam-3012	65	14	circuit	circuit	NOUN
ejpam-3012	65	15	formed	form	VERB
ejpam-3012	65	16	of	of	ADP
ejpam-3012	65	17	two	two	NUM
ejpam-3012	65	18	pieces	piece	NOUN
ejpam-3012	65	19	of	of	ADP
ejpam-3012	65	20	wire	wire	NOUN
ejpam-3012	65	21	,	,	PUNCT
ejpam-3012	65	22	each	each	PRON
ejpam-3012	65	23	of	of	ADP
ejpam-3012	65	24	a	a	DET
ejpam-3012	65	25	different	different	ADJ
ejpam-3012	65	26	material	material	NOUN
ejpam-3012	65	27	,	,	PUNCT
ejpam-3012	65	28	welded	weld	VERB
ejpam-3012	65	29	together	together	ADV
ejpam-3012	65	30	in	in	ADP
ejpam-3012	65	31	series	series	NOUN
ejpam-3012	65	32	.	.	PUNCT
ejpam-3012	66	1	it	it	PRON
ejpam-3012	66	2	found	find	VERB
ejpam-3012	66	3	that	that	SCONJ
ejpam-3012	66	4	a	a	DET
ejpam-3012	66	5	current	current	ADJ
ejpam-3012	66	6	starts	start	NOUN
ejpam-3012	66	7	flowing	flow	VERB
ejpam-3012	66	8	through	through	ADP
ejpam-3012	66	9	the	the	DET
ejpam-3012	66	10	circuit	circuit	NOUN
ejpam-3012	66	11	,	,	PUNCT
ejpam-3012	66	12	as	as	SCONJ
ejpam-3012	66	13	manifested	manifest	VERB
ejpam-3012	66	14	by	by	ADP
ejpam-3012	66	15	,	,	PUNCT
ejpam-3012	66	16	say	say	INTJ
ejpam-3012	66	17	,	,	PUNCT
ejpam-3012	66	18	the	the	DET
ejpam-3012	66	19	deviation	deviation	NOUN
ejpam-3012	66	20	of	of	ADP
ejpam-3012	66	21	a	a	DET
ejpam-3012	66	22	compass	compass	ADJ
ejpam-3012	66	23	needle	needle	NOUN
ejpam-3012	66	24	(	(	PUNCT
ejpam-3012	66	25	seebeck	seebeck	NOUN
ejpam-3012	66	26	’s	’s	PART
ejpam-3012	66	27	effect	effect	NOUN
ejpam-3012	66	28	)	)	PUNCT
ejpam-3012	66	29	.	.	PUNCT
ejpam-3012	67	1	generally	generally	ADV
ejpam-3012	67	2	,	,	PUNCT
ejpam-3012	67	3	the	the	DET
ejpam-3012	67	4	creation	creation	NOUN
ejpam-3012	67	5	of	of	ADP
ejpam-3012	67	6	an	an	DET
ejpam-3012	67	7	electromotive	electromotive	ADJ
ejpam-3012	67	8	field	field	NOUN
ejpam-3012	67	9	be	be	AUX
ejpam-3012	67	10	locally	locally	ADV
ejpam-3012	67	11	described	describe	VERB
ejpam-3012	67	12	seebeck	seebeck	NOUN
ejpam-3012	67	13	effect	effect	NOUN
ejpam-3012	67	14	as	as	ADP
ejpam-3012	67	15	[	[	X
ejpam-3012	67	16	20	20	NUM
ejpam-3012	67	17	]	]	X
ejpam-3012	67	18	e	e	NOUN
ejpam-3012	67	19	=	=	SYM
ejpam-3012	67	20	−k0∇θ	−k0∇θ	PROPN
ejpam-3012	67	21	,	,	PUNCT
ejpam-3012	67	22	(	(	PUNCT
ejpam-3012	67	23	3	3	X
ejpam-3012	67	24	)	)	PUNCT
ejpam-3012	67	25	where	where	SCONJ
ejpam-3012	67	26	k0	k0	PROPN
ejpam-3012	67	27	is	be	AUX
ejpam-3012	67	28	the	the	DET
ejpam-3012	67	29	seebeck	seebeck	PROPN
ejpam-3012	67	30	coefficient	coefficient	NOUN
ejpam-3012	67	31	(	(	PUNCT
ejpam-3012	67	32	also	also	ADV
ejpam-3012	67	33	known	know	VERB
ejpam-3012	67	34	as	as	ADP
ejpam-3012	67	35	thermopower	thermopower	NOUN
ejpam-3012	67	36	or	or	CCONJ
ejpam-3012	67	37	thermoelectric	thermoelectric	ADJ
ejpam-3012	67	38	sensitivity	sensitivity	NOUN
ejpam-3012	67	39	)	)	PUNCT
ejpam-3012	67	40	and	and	CCONJ
ejpam-3012	67	41	θ	θ	PROPN
ejpam-3012	67	42	=	=	SYM
ejpam-3012	67	43	t	t	PROPN
ejpam-3012	67	44	−	−	PROPN
ejpam-3012	67	45	t0	t0	PROPN
ejpam-3012	67	46	denotes	denote	VERB
ejpam-3012	67	47	thermodynamic	thermodynamic	ADJ
ejpam-3012	67	48	temperature	temperature	NOUN
ejpam-3012	67	49	in	in	ADP
ejpam-3012	67	50	which	which	PRON
ejpam-3012	67	51	t	t	NOUN
ejpam-3012	67	52	represents	represent	VERB
ejpam-3012	67	53	temperature	temperature	NOUN
ejpam-3012	67	54	and	and	CCONJ
ejpam-3012	67	55	t0	t0	PROPN
ejpam-3012	67	56	is	be	AUX
ejpam-3012	67	57	the	the	DET
ejpam-3012	67	58	environment	environment	NOUN
ejpam-3012	67	59	one	one	NUM
ejpam-3012	67	60	.	.	PUNCT
ejpam-3012	68	1	modified	modify	VERB
ejpam-3012	68	2	generalized	generalized	ADJ
ejpam-3012	68	3	ohm	ohm	NOUN
ejpam-3012	68	4	’s	’s	PART
ejpam-3012	68	5	law	law	NOUN
ejpam-3012	68	6	for	for	ADP
ejpam-3012	68	7	any	any	DET
ejpam-3012	68	8	solid	solid	ADJ
ejpam-3012	68	9	with	with	ADP
ejpam-3012	68	10	finite	finite	ADJ
ejpam-3012	68	11	conductivity	conductivity	NOUN
ejpam-3012	68	12	can	can	AUX
ejpam-3012	68	13	be	be	AUX
ejpam-3012	68	14	written	write	VERB
ejpam-3012	68	15	as	as	ADP
ejpam-3012	68	16	[	[	X
ejpam-3012	68	17	5	5	NUM
ejpam-3012	68	18	]	]	SYM
ejpam-3012	68	19	j	j	PROPN
ejpam-3012	68	20	=	=	SYM
ejpam-3012	68	21	σ0	σ0	PROPN
ejpam-3012	68	22	(	(	PUNCT
ejpam-3012	68	23	e	e	NOUN
ejpam-3012	68	24	+	+	CCONJ
ejpam-3012	68	25	µ0	µ0	NOUN
ejpam-3012	68	26	∂u	∂u	PROPN
ejpam-3012	68	27	∂t	∂t	PROPN
ejpam-3012	68	28	×h0	×h0	PROPN
ejpam-3012	68	29	)	)	PUNCT
ejpam-3012	69	1	+	+	CCONJ
ejpam-3012	69	2	ρe	ρe	PROPN
ejpam-3012	69	3	∂u	∂u	PROPN
ejpam-3012	69	4	∂t	∂t	PROPN
ejpam-3012	69	5	−	−	PROPN
ejpam-3012	69	6	k0∇θ	k0∇θ	PROPN
ejpam-3012	69	7	,	,	PUNCT
ejpam-3012	69	8	(	(	PUNCT
ejpam-3012	69	9	4	4	X
ejpam-3012	69	10	)	)	PUNCT
ejpam-3012	69	11	where	where	SCONJ
ejpam-3012	69	12	u	u	PRON
ejpam-3012	69	13	represents	represent	VERB
ejpam-3012	69	14	displacement	displacement	ADJ
ejpam-3012	69	15	vector	vector	NOUN
ejpam-3012	69	16	and	and	CCONJ
ejpam-3012	69	17	σ0	σ0	PROPN
ejpam-3012	69	18	denotes	denote	NOUN
ejpam-3012	69	19	electric	electric	ADJ
ejpam-3012	69	20	conductivity	conductivity	NOUN
ejpam-3012	69	21	.	.	PUNCT
ejpam-3012	70	1	neglecting	neglect	VERB
ejpam-3012	70	2	some	some	DET
ejpam-3012	70	3	unused	unused	ADJ
ejpam-3012	70	4	items	item	NOUN
ejpam-3012	70	5	like	like	ADP
ejpam-3012	70	6	inner	inner	ADJ
ejpam-3012	70	7	heat	heat	NOUN
ejpam-3012	70	8	sources	source	NOUN
ejpam-3012	70	9	and	and	CCONJ
ejpam-3012	70	10	volume	volume	NOUN
ejpam-3012	70	11	forces	force	NOUN
ejpam-3012	70	12	,	,	PUNCT
ejpam-3012	70	13	and	and	CCONJ
ejpam-3012	70	14	considering	consider	VERB
ejpam-3012	70	15	lorentz	lorentz	PROPN
ejpam-3012	70	16	force	force	NOUN
ejpam-3012	70	17	,	,	PUNCT
ejpam-3012	70	18	then	then	ADV
ejpam-3012	70	19	equations	equation	NOUN
ejpam-3012	70	20	of	of	ADP
ejpam-3012	70	21	motion	motion	NOUN
ejpam-3012	70	22	become	become	VERB
ejpam-3012	70	23	σij	σij	NOUN
ejpam-3012	70	24	+	+	NOUN
ejpam-3012	70	25	fi	fi	NOUN
ejpam-3012	70	26	=	=	SYM
ejpam-3012	70	27	ρ	ρ	PROPN
ejpam-3012	70	28	∂2ui	∂2ui	PROPN
ejpam-3012	70	29	∂t2	∂t2	NOUN
ejpam-3012	70	30	,	,	PUNCT
ejpam-3012	70	31	(	(	PUNCT
ejpam-3012	70	32	5	5	NUM
ejpam-3012	70	33	)	)	PUNCT
ejpam-3012	70	34	where	where	SCONJ
ejpam-3012	70	35	σij	σij	NOUN
ejpam-3012	70	36	are	be	AUX
ejpam-3012	70	37	the	the	DET
ejpam-3012	70	38	stress	stress	NOUN
ejpam-3012	70	39	components	component	NOUN
ejpam-3012	70	40	,	,	PUNCT
ejpam-3012	70	41	ρ	ρ	PROPN
ejpam-3012	70	42	denotes	denote	VERB
ejpam-3012	70	43	mass	mass	ADJ
ejpam-3012	70	44	density	density	NOUN
ejpam-3012	70	45	and	and	CCONJ
ejpam-3012	70	46	fi	fi	NOUN
ejpam-3012	70	47	represent	represent	VERB
ejpam-3012	70	48	lorentz	lorentz	PROPN
ejpam-3012	70	49	force	force	NOUN
ejpam-3012	70	50	components	component	NOUN
ejpam-3012	70	51	as	as	ADP
ejpam-3012	70	52	fi	fi	NOUN
ejpam-3012	70	53	=	=	NOUN
ejpam-3012	70	54	µ0	µ0	PROPN
ejpam-3012	70	55	(	(	PUNCT
ejpam-3012	70	56	j×h)i	j×h)i	PROPN
ejpam-3012	70	57	.	.	PUNCT
ejpam-3012	71	1	(	(	PUNCT
ejpam-3012	71	2	6	6	NUM
ejpam-3012	71	3	)	)	PUNCT
ejpam-3012	71	4	a.	a.	NOUN
ejpam-3012	71	5	m.	m.	NOUN
ejpam-3012	71	6	zenkour	zenkour	PROPN
ejpam-3012	71	7	et	et	PROPN
ejpam-3012	71	8	al	al	PROPN
ejpam-3012	71	9	.	.	PUNCT
ejpam-3012	71	10	/	/	SYM
ejpam-3012	71	11	eur	eur	PROPN
ejpam-3012	71	12	.	.	PUNCT
ejpam-3012	72	1	j.	j.	PROPN
ejpam-3012	72	2	pure	pure	PROPN
ejpam-3012	72	3	appl	appl	PROPN
ejpam-3012	72	4	.	.	PROPN
ejpam-3012	72	5	math	math	PROPN
ejpam-3012	72	6	,	,	PUNCT
ejpam-3012	72	7	10	10	NUM
ejpam-3012	72	8	(	(	PUNCT
ejpam-3012	72	9	4	4	NUM
ejpam-3012	72	10	)	)	PUNCT
ejpam-3012	72	11	(	(	PUNCT
ejpam-3012	72	12	2017	2017	NUM
ejpam-3012	72	13	)	)	PUNCT
ejpam-3012	72	14	,	,	PUNCT
ejpam-3012	72	15	786	786	NUM
ejpam-3012	72	16	-	-	SYM
ejpam-3012	72	17	808	808	NUM
ejpam-3012	72	18	789	789	NUM
ejpam-3012	72	19	the	the	DET
ejpam-3012	72	20	corresponding	corresponding	ADJ
ejpam-3012	72	21	maxwell	maxwell	PROPN
ejpam-3012	72	22	equations	equation	NOUN
ejpam-3012	72	23	in	in	ADP
ejpam-3012	72	24	adjoining	adjoin	VERB
ejpam-3012	72	25	free	free	ADJ
ejpam-3012	72	26	space	space	NOUN
ejpam-3012	72	27	of	of	ADP
ejpam-3012	72	28	cylinder	cylinder	NOUN
ejpam-3012	72	29	are	be	AUX
ejpam-3012	72	30	∇×	∇×	NOUN
ejpam-3012	72	31	h0	h0	NOUN
ejpam-3012	72	32	=	=	SYM
ejpam-3012	72	33	ε0	ε0	PROPN
ejpam-3012	72	34	∂e0	∂e0	PROPN
ejpam-3012	72	35	∂t	∂t	PROPN
ejpam-3012	72	36	,	,	PUNCT
ejpam-3012	72	37	∇	∇	X
ejpam-3012	72	38	·	·	PUNCT
ejpam-3012	72	39	h0	h0	NOUN
ejpam-3012	72	40	=	=	SYM
ejpam-3012	72	41	0	0	PROPN
ejpam-3012	72	42	,	,	PUNCT
ejpam-3012	72	43	∇×	∇×	NOUN
ejpam-3012	73	1	e0	e0	PROPN
ejpam-3012	73	2	=	=	PUNCT
ejpam-3012	73	3	µ0	µ0	PROPN
ejpam-3012	73	4	∂h0	∂h0	ADV
ejpam-3012	73	5	∂t	∂t	PROPN
ejpam-3012	73	6	,	,	PUNCT
ejpam-3012	73	7	∇	∇	X
ejpam-3012	73	8	·	·	PUNCT
ejpam-3012	73	9	e0	e0	PROPN
ejpam-3012	73	10	=	=	SYM
ejpam-3012	73	11	0	0	NUM
ejpam-3012	73	12	,	,	PUNCT
ejpam-3012	73	13	(	(	PUNCT
ejpam-3012	73	14	7	7	X
ejpam-3012	73	15	)	)	PUNCT
ejpam-3012	73	16	in	in	ADP
ejpam-3012	73	17	which	which	PRON
ejpam-3012	73	18	µ0	µ0	NOUN
ejpam-3012	73	19	and	and	CCONJ
ejpam-3012	73	20	ε0	ε0	PROPN
ejpam-3012	73	21	represent	represent	VERB
ejpam-3012	73	22	magnetic	magnetic	ADJ
ejpam-3012	73	23	and	and	CCONJ
ejpam-3012	73	24	electric	electric	ADJ
ejpam-3012	73	25	permeabilities	permeability	NOUN
ejpam-3012	73	26	in	in	ADP
ejpam-3012	73	27	free	free	ADJ
ejpam-3012	73	28	space	space	NOUN
ejpam-3012	73	29	,	,	PUNCT
ejpam-3012	73	30	e0	e0	PROPN
ejpam-3012	73	31	denotes	denote	NOUN
ejpam-3012	73	32	induced	induce	VERB
ejpam-3012	73	33	electric	electric	ADJ
ejpam-3012	73	34	field	field	NOUN
ejpam-3012	73	35	,	,	PUNCT
ejpam-3012	73	36	h0	h0	PROPN
ejpam-3012	73	37	denotes	denotes	PROPN
ejpam-3012	73	38	magnetic	magnetic	ADJ
ejpam-3012	73	39	field	field	NOUN
ejpam-3012	73	40	in	in	ADP
ejpam-3012	73	41	free	free	ADJ
ejpam-3012	73	42	space	space	NOUN
ejpam-3012	73	43	and	and	CCONJ
ejpam-3012	73	44	∇	∇	PROPN
ejpam-3012	73	45	represents	represent	VERB
ejpam-3012	73	46	gradient	gradient	ADJ
ejpam-3012	73	47	operator	operator	NOUN
ejpam-3012	73	48	.	.	PUNCT
ejpam-3012	74	1	it	it	PRON
ejpam-3012	74	2	is	be	AUX
ejpam-3012	74	3	assumed	assume	VERB
ejpam-3012	74	4	that	that	SCONJ
ejpam-3012	74	5	relative	relative	ADJ
ejpam-3012	74	6	permeability	permeability	NOUN
ejpam-3012	74	7	in	in	ADP
ejpam-3012	74	8	cylinder	cylinder	NOUN
ejpam-3012	74	9	and	and	CCONJ
ejpam-3012	74	10	permeability	permeability	NOUN
ejpam-3012	74	11	in	in	ADP
ejpam-3012	74	12	free	free	ADJ
ejpam-3012	74	13	space	space	NOUN
ejpam-3012	74	14	are	be	AUX
ejpam-3012	74	15	equivalent	equivalent	ADJ
ejpam-3012	74	16	.	.	PUNCT
ejpam-3012	75	1	the	the	DET
ejpam-3012	75	2	remaining	remain	VERB
ejpam-3012	75	3	constitutive	constitutive	ADJ
ejpam-3012	75	4	equations	equation	NOUN
ejpam-3012	75	5	of	of	ADP
ejpam-3012	75	6	duhamel	duhamel	PROPN
ejpam-3012	75	7	-	-	PUNCT
ejpam-3012	75	8	neumann	neumann	PROPN
ejpam-3012	75	9	are	be	AUX
ejpam-3012	75	10	given	give	VERB
ejpam-3012	75	11	by	by	ADP
ejpam-3012	75	12	σij	σij	PROPN
ejpam-3012	75	13	=	=	SYM
ejpam-3012	75	14	µ	µ	X
ejpam-3012	75	15	(	(	PUNCT
ejpam-3012	75	16	ui	ui	PROPN
ejpam-3012	75	17	,	,	PUNCT
ejpam-3012	75	18	j	j	PROPN
ejpam-3012	75	19	+	+	CCONJ
ejpam-3012	75	20	uj	uj	PROPN
ejpam-3012	75	21	,	,	PUNCT
ejpam-3012	75	22	i	i	PROPN
ejpam-3012	75	23	)	)	PUNCT
ejpam-3012	75	24	+	+	PUNCT
ejpam-3012	76	1	[	[	X
ejpam-3012	76	2	λ	λ	X
ejpam-3012	76	3	(	(	PUNCT
ejpam-3012	76	4	∇	∇	X
ejpam-3012	76	5	·	·	PUNCT
ejpam-3012	76	6	u)−	u)−	PROPN
ejpam-3012	76	7	γθ	γθ	PROPN
ejpam-3012	76	8	]	]	X
ejpam-3012	76	9	δij	δij	NOUN
ejpam-3012	76	10	,	,	PUNCT
ejpam-3012	76	11	(	(	PUNCT
ejpam-3012	76	12	8)	8)	NUM
ejpam-3012	76	13	in	in	ADP
ejpam-3012	76	14	which	which	PRON
ejpam-3012	76	15	λ	λ	PROPN
ejpam-3012	76	16	and	and	CCONJ
ejpam-3012	76	17	µ	µ	PROPN
ejpam-3012	76	18	represent	represent	VERB
ejpam-3012	76	19	lamé	lamé	NOUN
ejpam-3012	76	20	’s	’s	PART
ejpam-3012	76	21	constants	constant	NOUN
ejpam-3012	76	22	,	,	PUNCT
ejpam-3012	76	23	δij	δij	NOUN
ejpam-3012	76	24	denotes	denote	NOUN
ejpam-3012	76	25	kroneckers	kronecker	NOUN
ejpam-3012	76	26	delta	delta	PROPN
ejpam-3012	76	27	,	,	PUNCT
ejpam-3012	76	28	γ	γ	X
ejpam-3012	76	29	=	=	SYM
ejpam-3012	76	30	(	(	PUNCT
ejpam-3012	76	31	3λ+	3λ+	NUM
ejpam-3012	76	32	2µ)αt	2µ)αt	NUM
ejpam-3012	76	33	,	,	PUNCT
ejpam-3012	76	34	and	and	CCONJ
ejpam-3012	76	35	αt	αt	NOUN
ejpam-3012	76	36	represents	represent	VERB
ejpam-3012	76	37	linear	linear	ADJ
ejpam-3012	76	38	thermal	thermal	ADJ
ejpam-3012	76	39	expansion	expansion	NOUN
ejpam-3012	76	40	coefficient	coefficient	NOUN
ejpam-3012	76	41	.	.	PUNCT
ejpam-3012	77	1	the	the	DET
ejpam-3012	77	2	energy	energy	NOUN
ejpam-3012	77	3	equation	equation	NOUN
ejpam-3012	77	4	in	in	ADP
ejpam-3012	77	5	context	context	NOUN
ejpam-3012	77	6	of	of	ADP
ejpam-3012	77	7	dpl	dpl	PROPN
ejpam-3012	77	8	model	model	NOUN
ejpam-3012	77	9	including	include	VERB
ejpam-3012	77	10	current	current	ADJ
ejpam-3012	77	11	density	density	NOUN
ejpam-3012	77	12	effect	effect	NOUN
ejpam-3012	77	13	is	be	AUX
ejpam-3012	77	14	expressed	express	VERB
ejpam-3012	77	15	as	as	ADP
ejpam-3012	77	16	[	[	X
ejpam-3012	77	17	5	5	NUM
ejpam-3012	77	18	]	]	SYM
ejpam-3012	77	19	(	(	PUNCT
ejpam-3012	77	20	1	1	NUM
ejpam-3012	77	21	+	+	CCONJ
ejpam-3012	77	22	τθ	τθ	PROPN
ejpam-3012	77	23	∂	∂	X
ejpam-3012	77	24	∂t	∂t	PROPN
ejpam-3012	77	25	)	)	PUNCT
ejpam-3012	77	26	(	(	PUNCT
ejpam-3012	77	27	kθ	kθ	INTJ
ejpam-3012	77	28	,	,	PUNCT
ejpam-3012	77	29	i),i	i),i	PROPN
ejpam-3012	77	30	=	=	PUNCT
ejpam-3012	77	31	(	(	PUNCT
ejpam-3012	77	32	∂	∂	X
ejpam-3012	77	33	∂t	∂t	NOUN
ejpam-3012	77	34	+	+	CCONJ
ejpam-3012	77	35	τq	τq	CCONJ
ejpam-3012	77	36	∂2	∂2	NOUN
ejpam-3012	77	37	∂t2	∂t2	NOUN
ejpam-3012	77	38	)	)	PUNCT
ejpam-3012	77	39	(	(	PUNCT
ejpam-3012	77	40	ρceθ	ρceθ	X
ejpam-3012	77	41	+	+	CCONJ
ejpam-3012	77	42	γt0∇	γt0∇	NOUN
ejpam-3012	77	43	·	·	PUNCT
ejpam-3012	77	44	u	u	NOUN
ejpam-3012	77	45	)	)	PUNCT
ejpam-3012	77	46	+	+	CCONJ
ejpam-3012	78	1	π0∇	π0∇	PROPN
ejpam-3012	78	2	·	·	SYM
ejpam-3012	78	3	j	j	NOUN
ejpam-3012	78	4	,	,	PUNCT
ejpam-3012	78	5	(	(	PUNCT
ejpam-3012	78	6	9	9	NUM
ejpam-3012	78	7	)	)	PUNCT
ejpam-3012	78	8	in	in	ADP
ejpam-3012	78	9	which	which	PRON
ejpam-3012	78	10	k	k	PROPN
ejpam-3012	78	11	represents	represent	VERB
ejpam-3012	78	12	thermal	thermal	ADJ
ejpam-3012	78	13	conductivity	conductivity	NOUN
ejpam-3012	78	14	,	,	PUNCT
ejpam-3012	78	15	τθ	τθ	X
ejpam-3012	78	16	is	be	AUX
ejpam-3012	78	17	pl	pl	PROPN
ejpam-3012	78	18	of	of	ADP
ejpam-3012	78	19	heat	heat	NOUN
ejpam-3012	78	20	flux	flux	NOUN
ejpam-3012	78	21	,	,	PUNCT
ejpam-3012	78	22	τq	τq	PRON
ejpam-3012	78	23	represents	represent	VERB
ejpam-3012	78	24	pl	pl	PROPN
ejpam-3012	78	25	of	of	ADP
ejpam-3012	78	26	gradient	gradient	NOUN
ejpam-3012	78	27	of	of	ADP
ejpam-3012	78	28	temperature	temperature	NOUN
ejpam-3012	78	29	,	,	PUNCT
ejpam-3012	78	30	(	(	PUNCT
ejpam-3012	78	31	τq	τq	X
ejpam-3012	78	32	>	>	X
ejpam-3012	78	33	τθ	τθ	X
ejpam-3012	78	34	>	>	X
ejpam-3012	78	35	0	0	NUM
ejpam-3012	78	36	)	)	PUNCT
ejpam-3012	78	37	and	and	CCONJ
ejpam-3012	78	38	ce	ce	PROPN
ejpam-3012	78	39	denotes	denotes	PROPN
ejpam-3012	78	40	specific	specific	ADJ
ejpam-3012	78	41	heat	heat	NOUN
ejpam-3012	78	42	at	at	ADP
ejpam-3012	78	43	uniform	uniform	ADJ
ejpam-3012	78	44	strain	strain	NOUN
ejpam-3012	78	45	.	.	PUNCT
ejpam-3012	79	1	in	in	ADP
ejpam-3012	79	2	above	above	ADP
ejpam-3012	79	3	equations	equation	NOUN
ejpam-3012	79	4	,	,	PUNCT
ejpam-3012	79	5	π0	π0	NOUN
ejpam-3012	79	6	represents	represent	VERB
ejpam-3012	79	7	coefficient	coefficient	NOUN
ejpam-3012	79	8	connecting	connect	VERB
ejpam-3012	79	9	current	current	ADJ
ejpam-3012	79	10	density	density	NOUN
ejpam-3012	79	11	with	with	ADP
ejpam-3012	79	12	heat	heat	NOUN
ejpam-3012	79	13	flow	flow	NOUN
ejpam-3012	79	14	density	density	NOUN
ejpam-3012	79	15	.	.	PUNCT
ejpam-3012	80	1	3	3	X
ejpam-3012	80	2	.	.	X
ejpam-3012	80	3	problem	problem	NOUN
ejpam-3012	80	4	formulation	formulation	NOUN
ejpam-3012	80	5	a	a	DET
ejpam-3012	80	6	long	long	ADJ
ejpam-3012	80	7	,	,	PUNCT
ejpam-3012	80	8	homogeneous	homogeneous	ADJ
ejpam-3012	80	9	,	,	PUNCT
ejpam-3012	80	10	solid	solid	ADJ
ejpam-3012	80	11	cylinder	cylinder	NOUN
ejpam-3012	80	12	of	of	ADP
ejpam-3012	80	13	radius	radius	NOUN
ejpam-3012	80	14	a	a	PRON
ejpam-3012	80	15	with	with	ADP
ejpam-3012	80	16	perfect	perfect	ADJ
ejpam-3012	80	17	conductivity	conductivity	NOUN
ejpam-3012	80	18	is	be	AUX
ejpam-3012	80	19	initially	initially	ADV
ejpam-3012	80	20	placed	place	VERB
ejpam-3012	80	21	in	in	ADP
ejpam-3012	80	22	an	an	DET
ejpam-3012	80	23	axial	axial	ADJ
ejpam-3012	80	24	magnetic	magnetic	ADJ
ejpam-3012	80	25	field	field	NOUN
ejpam-3012	80	26	h0	h0	PROPN
ejpam-3012	80	27	≡	≡	PROPN
ejpam-3012	80	28	(	(	PUNCT
ejpam-3012	80	29	0	0	NUM
ejpam-3012	80	30	,	,	PUNCT
ejpam-3012	80	31	0	0	NUM
ejpam-3012	80	32	,	,	PUNCT
ejpam-3012	80	33	h0	h0	NOUN
ejpam-3012	80	34	)	)	PUNCT
ejpam-3012	80	35	acting	act	VERB
ejpam-3012	80	36	directed	direct	VERB
ejpam-3012	80	37	parallel	parallel	NOUN
ejpam-3012	80	38	to	to	ADP
ejpam-3012	80	39	z	z	NOUN
ejpam-3012	80	40	-	-	PUNCT
ejpam-3012	80	41	axis	axis	NOUN
ejpam-3012	80	42	as	as	SCONJ
ejpam-3012	80	43	shown	show	VERB
ejpam-3012	80	44	in	in	ADP
ejpam-3012	80	45	figure	figure	NOUN
ejpam-3012	80	46	1	1	NUM
ejpam-3012	80	47	.	.	PUNCT
ejpam-3012	80	48	assuming	assume	VERB
ejpam-3012	80	49	that	that	SCONJ
ejpam-3012	80	50	surface	surface	NOUN
ejpam-3012	80	51	of	of	ADP
ejpam-3012	80	52	cylinder	cylinder	NOUN
ejpam-3012	80	53	be	be	AUX
ejpam-3012	80	54	subjected	subject	VERB
ejpam-3012	80	55	to	to	ADP
ejpam-3012	80	56	a	a	DET
ejpam-3012	80	57	thermal	thermal	ADJ
ejpam-3012	80	58	shock	shock	NOUN
ejpam-3012	80	59	and	and	CCONJ
ejpam-3012	80	60	traction	traction	NOUN
ejpam-3012	80	61	free	free	ADJ
ejpam-3012	80	62	.	.	PUNCT
ejpam-3012	81	1	figure	figure	VERB
ejpam-3012	81	2	1	1	NUM
ejpam-3012	81	3	:	:	PUNCT
ejpam-3012	81	4	geometry	geometry	NOUN
ejpam-3012	81	5	of	of	ADP
ejpam-3012	81	6	a	a	DET
ejpam-3012	81	7	long	long	ADJ
ejpam-3012	81	8	conducting	conduct	VERB
ejpam-3012	81	9	solid	solid	ADJ
ejpam-3012	81	10	cylinder	cylinder	NOUN
ejpam-3012	81	11	in	in	ADP
ejpam-3012	81	12	an	an	DET
ejpam-3012	81	13	axial	axial	ADJ
ejpam-3012	81	14	magnetic	magnetic	ADJ
ejpam-3012	81	15	field	field	NOUN
ejpam-3012	81	16	vector	vector	NOUN
ejpam-3012	81	17	the	the	DET
ejpam-3012	81	18	initial	initial	ADJ
ejpam-3012	81	19	magnetic	magnetic	ADJ
ejpam-3012	81	20	field	field	NOUN
ejpam-3012	81	21	h0	h0	NOUN
ejpam-3012	81	22	is	be	AUX
ejpam-3012	81	23	applied	apply	VERB
ejpam-3012	81	24	to	to	ADP
ejpam-3012	81	25	the	the	DET
ejpam-3012	81	26	medium	medium	NOUN
ejpam-3012	81	27	and	and	CCONJ
ejpam-3012	81	28	generates	generate	VERB
ejpam-3012	81	29	induced	induce	VERB
ejpam-3012	81	30	magnetic	magnetic	ADJ
ejpam-3012	81	31	h	h	NOUN
ejpam-3012	81	32	and	and	CCONJ
ejpam-3012	81	33	electric	electric	PROPN
ejpam-3012	81	34	e	e	PROPN
ejpam-3012	81	35	fields	field	NOUN
ejpam-3012	81	36	.	.	PUNCT
ejpam-3012	82	1	cylindrical	cylindrical	ADJ
ejpam-3012	82	2	coordinates	coordinate	NOUN
ejpam-3012	82	3	system	system	NOUN
ejpam-3012	82	4	(	(	PUNCT
ejpam-3012	82	5	r	r	NOUN
ejpam-3012	82	6	,	,	PUNCT
ejpam-3012	82	7	ϕ	ϕ	NOUN
ejpam-3012	82	8	,	,	PUNCT
ejpam-3012	82	9	z	z	NOUN
ejpam-3012	82	10	)	)	PUNCT
ejpam-3012	82	11	is	be	AUX
ejpam-3012	82	12	considered	consider	VERB
ejpam-3012	82	13	for	for	ADP
ejpam-3012	82	14	the	the	DET
ejpam-3012	82	15	present	present	ADJ
ejpam-3012	82	16	a.	a.	NOUN
ejpam-3012	82	17	m.	m.	NOUN
ejpam-3012	82	18	zenkour	zenkour	PROPN
ejpam-3012	82	19	et	et	PROPN
ejpam-3012	82	20	al	al	PROPN
ejpam-3012	82	21	.	.	PUNCT
ejpam-3012	82	22	/	/	SYM
ejpam-3012	82	23	eur	eur	PROPN
ejpam-3012	82	24	.	.	PUNCT
ejpam-3012	83	1	j.	j.	PROPN
ejpam-3012	83	2	pure	pure	PROPN
ejpam-3012	83	3	appl	appl	PROPN
ejpam-3012	83	4	.	.	PROPN
ejpam-3012	83	5	math	math	PROPN
ejpam-3012	83	6	,	,	PUNCT
ejpam-3012	83	7	10	10	NUM
ejpam-3012	83	8	(	(	PUNCT
ejpam-3012	83	9	4	4	NUM
ejpam-3012	83	10	)	)	PUNCT
ejpam-3012	83	11	(	(	PUNCT
ejpam-3012	83	12	2017	2017	NUM
ejpam-3012	83	13	)	)	PUNCT
ejpam-3012	83	14	,	,	PUNCT
ejpam-3012	83	15	786	786	NUM
ejpam-3012	83	16	-	-	SYM
ejpam-3012	83	17	808	808	NUM
ejpam-3012	83	18	790	790	NUM
ejpam-3012	83	19	axisymmetric	axisymmetric	ADJ
ejpam-3012	83	20	problem	problem	NOUN
ejpam-3012	83	21	and	and	CCONJ
ejpam-3012	83	22	so	so	ADV
ejpam-3012	83	23	all	all	DET
ejpam-3012	83	24	variables	variable	NOUN
ejpam-3012	83	25	depend	depend	VERB
ejpam-3012	83	26	on	on	ADP
ejpam-3012	83	27	r	r	NOUN
ejpam-3012	83	28	and	and	CCONJ
ejpam-3012	83	29	t	t	NOUN
ejpam-3012	83	30	only	only	ADV
ejpam-3012	83	31	.	.	PUNCT
ejpam-3012	84	1	then	then	ADV
ejpam-3012	84	2	,	,	PUNCT
ejpam-3012	84	3	ur	ur	INTJ
ejpam-3012	84	4	=	=	ADJ
ejpam-3012	84	5	u	u	NOUN
ejpam-3012	84	6	(	(	PUNCT
ejpam-3012	84	7	r	r	NOUN
ejpam-3012	84	8	,	,	PUNCT
ejpam-3012	84	9	t	t	PROPN
ejpam-3012	84	10	)	)	PUNCT
ejpam-3012	84	11	and	and	CCONJ
ejpam-3012	84	12	uϕ	uϕ	NOUN
ejpam-3012	84	13	=	=	PROPN
ejpam-3012	84	14	uz	uz	PROPN
ejpam-3012	84	15	=	=	NOUN
ejpam-3012	84	16	0	0	PROPN
ejpam-3012	84	17	.	.	PUNCT
ejpam-3012	84	18	components	component	NOUN
ejpam-3012	84	19	of	of	ADP
ejpam-3012	84	20	strain	strain	PROPN
ejpam-3012	84	21	tensor	tensor	NOUN
ejpam-3012	84	22	eij	eij	PROPN
ejpam-3012	84	23	are	be	AUX
ejpam-3012	84	24	given	give	VERB
ejpam-3012	84	25	as	as	ADP
ejpam-3012	84	26	err	err	NOUN
ejpam-3012	84	27	=	=	SYM
ejpam-3012	84	28	∂u	∂u	PROPN
ejpam-3012	85	1	∂r	∂r	INTJ
ejpam-3012	85	2	,	,	PUNCT
ejpam-3012	85	3	eϕϕ	eϕϕ	NOUN
ejpam-3012	85	4	=	=	SYM
ejpam-3012	85	5	u	u	NOUN
ejpam-3012	85	6	r	r	NOUN
ejpam-3012	85	7	,	,	PUNCT
ejpam-3012	85	8	ezz	ezz	NOUN
ejpam-3012	85	9	=	=	ADJ
ejpam-3012	85	10	erz	erz	PROPN
ejpam-3012	85	11	=	=	SYM
ejpam-3012	85	12	ezϕ	ezϕ	NOUN
ejpam-3012	85	13	=	=	SYM
ejpam-3012	85	14	erϕ	erϕ	X
ejpam-3012	85	15	=	=	SYM
ejpam-3012	85	16	0	0	NUM
ejpam-3012	85	17	.	.	PUNCT
ejpam-3012	86	1	(	(	PUNCT
ejpam-3012	86	2	10	10	NUM
ejpam-3012	86	3	)	)	PUNCT
ejpam-3012	86	4	cubic	cubic	ADJ
ejpam-3012	86	5	strain	strain	NOUN
ejpam-3012	86	6	dilatation	dilatation	NOUN
ejpam-3012	86	7	e	e	NOUN
ejpam-3012	86	8	=	=	NOUN
ejpam-3012	86	9	ekk	ekk	PROPN
ejpam-3012	86	10	is	be	AUX
ejpam-3012	86	11	thus	thus	ADV
ejpam-3012	86	12	represented	represent	VERB
ejpam-3012	86	13	as	as	ADP
ejpam-3012	86	14	e	e	X
ejpam-3012	86	15	=	=	NOUN
ejpam-3012	86	16	err	err	PROPN
ejpam-3012	86	17	+	+	CCONJ
ejpam-3012	86	18	eφφ	eφφ	PROPN
ejpam-3012	86	19	+	+	CCONJ
ejpam-3012	86	20	ezz	ezz	X
ejpam-3012	86	21	=	=	ADJ
ejpam-3012	86	22	∂u	∂u	PROPN
ejpam-3012	87	1	∂r	∂r	NOUN
ejpam-3012	88	1	+	+	NUM
ejpam-3012	88	2	u	u	NOUN
ejpam-3012	88	3	r	r	NOUN
ejpam-3012	88	4	=	=	SYM
ejpam-3012	88	5	1	1	NUM
ejpam-3012	88	6	r	r	NOUN
ejpam-3012	88	7	∂	∂	NOUN
ejpam-3012	88	8	∂r	∂r	PROPN
ejpam-3012	88	9	(	(	PUNCT
ejpam-3012	88	10	ru	ru	PROPN
ejpam-3012	88	11	)	)	PUNCT
ejpam-3012	88	12	.	.	PUNCT
ejpam-3012	89	1	(	(	PUNCT
ejpam-3012	89	2	11	11	NUM
ejpam-3012	89	3	)	)	PUNCT
ejpam-3012	89	4	thermoelastic	thermoelastic	ADJ
ejpam-3012	89	5	stresses	stress	NOUN
ejpam-3012	89	6	σij	σij	AUX
ejpam-3012	89	7	become	become	VERB
ejpam-3012	89	8	σrr	σrr	NOUN
ejpam-3012	89	9	=	=	SYM
ejpam-3012	89	10	2µ	2µ	NUM
ejpam-3012	89	11	∂u	∂u	PROPN
ejpam-3012	90	1	∂r	∂r	ADJ
ejpam-3012	90	2	+	+	CCONJ
ejpam-3012	90	3	λe−	λe−	PROPN
ejpam-3012	90	4	γθ	γθ	NOUN
ejpam-3012	90	5	,	,	PUNCT
ejpam-3012	90	6	σϕϕ	σϕϕ	NOUN
ejpam-3012	90	7	=	=	SYM
ejpam-3012	90	8	2µ	2µ	NUM
ejpam-3012	90	9	u	u	NOUN
ejpam-3012	90	10	r	r	NOUN
ejpam-3012	90	11	+	+	PROPN
ejpam-3012	90	12	λe−	λe−	PROPN
ejpam-3012	90	13	γθ	γθ	NOUN
ejpam-3012	90	14	,	,	PUNCT
ejpam-3012	90	15	σzz	σzz	NOUN
ejpam-3012	90	16	=	=	PUNCT
ejpam-3012	90	17	λe−	λe−	SYM
ejpam-3012	90	18	γθ	γθ	NOUN
ejpam-3012	90	19	,	,	PUNCT
ejpam-3012	90	20	σrϕ	σrϕ	PRON
ejpam-3012	90	21	=	=	SYM
ejpam-3012	90	22	σrz	σrz	NOUN
ejpam-3012	90	23	=	=	PUNCT
ejpam-3012	90	24	σϕz	σϕz	PROPN
ejpam-3012	90	25	=	=	SYM
ejpam-3012	90	26	0	0	PROPN
ejpam-3012	90	27	.	.	PUNCT
ejpam-3012	91	1	(	(	PUNCT
ejpam-3012	91	2	12	12	NUM
ejpam-3012	91	3	)	)	PUNCT
ejpam-3012	91	4	it	it	PRON
ejpam-3012	91	5	can	can	AUX
ejpam-3012	91	6	be	be	AUX
ejpam-3012	91	7	easily	easily	ADV
ejpam-3012	91	8	seen	see	VERB
ejpam-3012	91	9	that	that	SCONJ
ejpam-3012	91	10	vectors	vector	NOUN
ejpam-3012	91	11	e	e	NOUN
ejpam-3012	91	12	and	and	CCONJ
ejpam-3012	91	13	j	j	PROPN
ejpam-3012	91	14	have	have	VERB
ejpam-3012	91	15	their	their	PRON
ejpam-3012	91	16	components	component	NOUN
ejpam-3012	91	17	only	only	ADV
ejpam-3012	91	18	in	in	ADP
ejpam-3012	91	19	ϕ-direction	ϕ-direction	NOUN
ejpam-3012	91	20	.	.	PUNCT
ejpam-3012	92	1	that	that	PRON
ejpam-3012	92	2	is	be	AUX
ejpam-3012	92	3	e	e	PROPN
ejpam-3012	92	4	≡	≡	PROPN
ejpam-3012	92	5	(	(	PUNCT
ejpam-3012	92	6	0	0	NUM
ejpam-3012	92	7	,	,	PUNCT
ejpam-3012	92	8	e	e	NOUN
ejpam-3012	92	9	,	,	PUNCT
ejpam-3012	92	10	0	0	NUM
ejpam-3012	92	11	)	)	PUNCT
ejpam-3012	92	12	,	,	PUNCT
ejpam-3012	92	13	j	j	PROPN
ejpam-3012	92	14	≡	≡	PROPN
ejpam-3012	92	15	(	(	PUNCT
ejpam-3012	92	16	0	0	NUM
ejpam-3012	92	17	,	,	PUNCT
ejpam-3012	92	18	j	j	NOUN
ejpam-3012	92	19	,	,	PUNCT
ejpam-3012	92	20	0	0	NUM
ejpam-3012	92	21	)	)	PUNCT
ejpam-3012	92	22	.	.	PUNCT
ejpam-3012	93	1	(	(	PUNCT
ejpam-3012	93	2	13	13	NUM
ejpam-3012	93	3	)	)	PUNCT
ejpam-3012	93	4	from	from	ADP
ejpam-3012	93	5	eqs	eqs	PROPN
ejpam-3012	93	6	.	.	PUNCT
ejpam-3012	94	1	(	(	PUNCT
ejpam-3012	94	2	1	1	X
ejpam-3012	94	3	)	)	PUNCT
ejpam-3012	94	4	and	and	CCONJ
ejpam-3012	94	5	(	(	PUNCT
ejpam-3012	94	6	3	3	NUM
ejpam-3012	94	7	)	)	PUNCT
ejpam-3012	94	8	,	,	PUNCT
ejpam-3012	94	9	we	we	PRON
ejpam-3012	94	10	have	have	VERB
ejpam-3012	94	11	∂h	∂h	VERB
ejpam-3012	94	12	∂r	∂r	VERB
ejpam-3012	94	13	=	=	PUNCT
ejpam-3012	94	14	−j	−j	NOUN
ejpam-3012	94	15	−	−	PROPN
ejpam-3012	94	16	ε0	ε0	PROPN
ejpam-3012	94	17	∂e	∂e	PROPN
ejpam-3012	94	18	∂t	∂t	PROPN
ejpam-3012	94	19	,	,	PUNCT
ejpam-3012	94	20	(	(	PUNCT
ejpam-3012	94	21	14	14	NUM
ejpam-3012	94	22	)	)	SYM
ejpam-3012	94	23	1	1	NUM
ejpam-3012	94	24	r	r	NOUN
ejpam-3012	94	25	∂	∂	NOUN
ejpam-3012	94	26	∂r	∂r	PROPN
ejpam-3012	95	1	(	(	PUNCT
ejpam-3012	95	2	er	er	INTJ
ejpam-3012	95	3	)	)	PUNCT
ejpam-3012	95	4	=	=	SYM
ejpam-3012	95	5	−µ0	−µ0	PROPN
ejpam-3012	95	6	∂h	∂h	PROPN
ejpam-3012	95	7	∂t	∂t	PROPN
ejpam-3012	95	8	,	,	PUNCT
ejpam-3012	95	9	(	(	PUNCT
ejpam-3012	95	10	15	15	NUM
ejpam-3012	95	11	)	)	PUNCT
ejpam-3012	95	12	j	j	NOUN
ejpam-3012	95	13	=	=	SYM
ejpam-3012	95	14	σ0	σ0	PROPN
ejpam-3012	95	15	(	(	PUNCT
ejpam-3012	95	16	e	e	NOUN
ejpam-3012	95	17	−	−	PROPN
ejpam-3012	95	18	µ0h0	µ0h0	PUNCT
ejpam-3012	95	19	∂u	∂u	PROPN
ejpam-3012	95	20	∂t	∂t	PROPN
ejpam-3012	95	21	)	)	PUNCT
ejpam-3012	95	22	−	−	PROPN
ejpam-3012	96	1	k0	k0	PROPN
ejpam-3012	96	2	∂θ	∂θ	PROPN
ejpam-3012	96	3	∂r	∂r	INTJ
ejpam-3012	96	4	.	.	PUNCT
ejpam-3012	97	1	(	(	PUNCT
ejpam-3012	97	2	16	16	NUM
ejpam-3012	97	3	)	)	PUNCT
ejpam-3012	97	4	eliminating	eliminate	VERB
ejpam-3012	97	5	j	j	PROPN
ejpam-3012	97	6	between	between	ADP
ejpam-3012	97	7	eqs	eqs	PROPN
ejpam-3012	97	8	.	.	PUNCT
ejpam-3012	98	1	(	(	PUNCT
ejpam-3012	98	2	14	14	NUM
ejpam-3012	98	3	)	)	PUNCT
ejpam-3012	98	4	and	and	CCONJ
ejpam-3012	98	5	(	(	PUNCT
ejpam-3012	98	6	16	16	NUM
ejpam-3012	98	7	)	)	PUNCT
ejpam-3012	98	8	and	and	CCONJ
ejpam-3012	98	9	e	e	X
ejpam-3012	98	10	between	between	ADP
ejpam-3012	98	11	eqs	eqs	PROPN
ejpam-3012	98	12	.	.	PUNCT
ejpam-3012	99	1	(	(	PUNCT
ejpam-3012	99	2	15	15	NUM
ejpam-3012	99	3	)	)	PUNCT
ejpam-3012	99	4	and	and	CCONJ
ejpam-3012	99	5	(	(	PUNCT
ejpam-3012	99	6	16	16	NUM
ejpam-3012	99	7	)	)	PUNCT
ejpam-3012	99	8	,	,	PUNCT
ejpam-3012	99	9	leads	lead	VERB
ejpam-3012	99	10	to	to	ADP
ejpam-3012	99	11	∂h	∂h	PROPN
ejpam-3012	99	12	∂r	∂r	PROPN
ejpam-3012	99	13	=	=	SYM
ejpam-3012	99	14	σ0µ0h0	σ0µ0h0	PROPN
ejpam-3012	99	15	∂u	∂u	PROPN
ejpam-3012	99	16	∂t	∂t	PROPN
ejpam-3012	100	1	−	−	PROPN
ejpam-3012	100	2	(	(	PUNCT
ejpam-3012	100	3	σ0e	σ0e	PROPN
ejpam-3012	100	4	+	+	CCONJ
ejpam-3012	100	5	ε0	ε0	PROPN
ejpam-3012	100	6	∂e	∂e	PROPN
ejpam-3012	100	7	∂t	∂t	PROPN
ejpam-3012	100	8	)	)	PUNCT
ejpam-3012	101	1	+	+	CCONJ
ejpam-3012	101	2	k0	k0	PROPN
ejpam-3012	101	3	∂θ	∂θ	PROPN
ejpam-3012	102	1	∂r	∂r	PROPN
ejpam-3012	102	2	,	,	PUNCT
ejpam-3012	102	3	(	(	PUNCT
ejpam-3012	102	4	17	17	NUM
ejpam-3012	102	5	)	)	PUNCT
ejpam-3012	102	6	(	(	PUNCT
ejpam-3012	102	7	∇2	∇2	PROPN
ejpam-3012	102	8	−	−	PROPN
ejpam-3012	102	9	σ0µ0	σ0µ0	NOUN
ejpam-3012	102	10	∂	∂	NOUN
ejpam-3012	102	11	∂t	∂t	PROPN
ejpam-3012	102	12	−	−	PROPN
ejpam-3012	102	13	µ0ε0	µ0ε0	PUNCT
ejpam-3012	102	14	∂2	∂2	NOUN
ejpam-3012	102	15	∂t2	∂t2	NOUN
ejpam-3012	102	16	)	)	PUNCT
ejpam-3012	102	17	h	h	NOUN
ejpam-3012	103	1	=	=	PROPN
ejpam-3012	103	2	σ0µ0h0	σ0µ0h0	PROPN
ejpam-3012	103	3	∂e	∂e	PROPN
ejpam-3012	103	4	∂t	∂t	PROPN
ejpam-3012	103	5	+	+	NUM
ejpam-3012	103	6	k0∇2θ	k0∇2θ	PROPN
ejpam-3012	103	7	,	,	PUNCT
ejpam-3012	103	8	(	(	PUNCT
ejpam-3012	103	9	18	18	NUM
ejpam-3012	103	10	)	)	PUNCT
ejpam-3012	103	11	where	where	SCONJ
ejpam-3012	103	12	∇2	∇2	PROPN
ejpam-3012	103	13	=	=	SYM
ejpam-3012	103	14	∂2	∂2	NOUN
ejpam-3012	103	15	∂r2	∂r2	NOUN
ejpam-3012	103	16	+	+	CCONJ
ejpam-3012	103	17	1	1	NUM
ejpam-3012	103	18	r	r	NOUN
ejpam-3012	103	19	∂	∂	NOUN
ejpam-3012	103	20	∂r	∂r	NOUN
ejpam-3012	103	21	represents	represent	VERB
ejpam-3012	103	22	laplace	laplace	NOUN
ejpam-3012	103	23	operator	operator	NOUN
ejpam-3012	103	24	.	.	PUNCT
ejpam-3012	104	1	equation	equation	NOUN
ejpam-3012	104	2	of	of	ADP
ejpam-3012	104	3	motion	motion	NOUN
ejpam-3012	104	4	,	,	PUNCT
ejpam-3012	104	5	eq	eq	NOUN
ejpam-3012	104	6	.	.	PUNCT
ejpam-3012	105	1	(	(	PUNCT
ejpam-3012	105	2	4	4	NUM
ejpam-3012	105	3	)	)	PUNCT
ejpam-3012	105	4	,	,	PUNCT
ejpam-3012	105	5	reduces	reduce	VERB
ejpam-3012	105	6	to	to	ADP
ejpam-3012	105	7	∂σrr	∂σrr	PRON
ejpam-3012	105	8	∂r	∂r	PROPN
ejpam-3012	105	9	+	+	CCONJ
ejpam-3012	105	10	σrr	σrr	VERB
ejpam-3012	105	11	−	−	NOUN
ejpam-3012	105	12	σϕϕ	σϕϕ	NOUN
ejpam-3012	105	13	r	r	NOUN
ejpam-3012	105	14	+	+	CCONJ
ejpam-3012	105	15	frr	frr	PROPN
ejpam-3012	105	16	=	=	SYM
ejpam-3012	105	17	ρ	ρ	PROPN
ejpam-3012	105	18	∂2u	∂2u	PROPN
ejpam-3012	105	19	∂t2	∂t2	PROPN
ejpam-3012	105	20	,	,	PUNCT
ejpam-3012	105	21	(	(	PUNCT
ejpam-3012	105	22	19	19	NUM
ejpam-3012	105	23	)	)	PUNCT
ejpam-3012	105	24	a.	a.	NOUN
ejpam-3012	105	25	m.	m.	NOUN
ejpam-3012	105	26	zenkour	zenkour	PROPN
ejpam-3012	105	27	et	et	PROPN
ejpam-3012	105	28	al	al	PROPN
ejpam-3012	105	29	.	.	PUNCT
ejpam-3012	105	30	/	/	SYM
ejpam-3012	105	31	eur	eur	PROPN
ejpam-3012	105	32	.	.	PUNCT
ejpam-3012	106	1	j.	j.	PROPN
ejpam-3012	106	2	pure	pure	PROPN
ejpam-3012	106	3	appl	appl	PROPN
ejpam-3012	106	4	.	.	PROPN
ejpam-3012	106	5	math	math	PROPN
ejpam-3012	106	6	,	,	PUNCT
ejpam-3012	106	7	10	10	NUM
ejpam-3012	106	8	(	(	PUNCT
ejpam-3012	106	9	4	4	NUM
ejpam-3012	106	10	)	)	PUNCT
ejpam-3012	106	11	(	(	PUNCT
ejpam-3012	106	12	2017	2017	NUM
ejpam-3012	106	13	)	)	PUNCT
ejpam-3012	106	14	,	,	PUNCT
ejpam-3012	106	15	786	786	NUM
ejpam-3012	106	16	-	-	SYM
ejpam-3012	106	17	808	808	NUM
ejpam-3012	106	18	791	791	NUM
ejpam-3012	106	19	where	where	SCONJ
ejpam-3012	106	20	frr	frr	PROPN
ejpam-3012	106	21	represents	represent	VERB
ejpam-3012	106	22	lorentz	lorentz	PROPN
ejpam-3012	106	23	force	force	NOUN
ejpam-3012	106	24	which	which	PRON
ejpam-3012	106	25	will	will	AUX
ejpam-3012	106	26	,	,	PUNCT
ejpam-3012	106	27	after	after	ADP
ejpam-3012	106	28	applying	apply	VERB
ejpam-3012	106	29	the	the	DET
ejpam-3012	106	30	initial	initial	ADJ
ejpam-3012	106	31	magnetic	magnetic	ADJ
ejpam-3012	106	32	field	field	NOUN
ejpam-3012	106	33	vector	vector	NOUN
ejpam-3012	106	34	,	,	PUNCT
ejpam-3012	106	35	be	be	AUX
ejpam-3012	106	36	frr	frr	NOUN
ejpam-3012	106	37	=	=	SYM
ejpam-3012	106	38	µ0	µ0	PROPN
ejpam-3012	106	39	(	(	PUNCT
ejpam-3012	106	40	j×h)r	j×h)r	PROPN
ejpam-3012	106	41	=	=	SYM
ejpam-3012	106	42	−µ0h0	−µ0h0	PROPN
ejpam-3012	106	43	(	(	PUNCT
ejpam-3012	106	44	∂h	∂h	PROPN
ejpam-3012	106	45	∂r	∂r	PROPN
ejpam-3012	106	46	+	+	NUM
ejpam-3012	106	47	ε0	ε0	PROPN
ejpam-3012	106	48	∂e	∂e	PROPN
ejpam-3012	106	49	∂t	∂t	PROPN
ejpam-3012	106	50	)	)	PUNCT
ejpam-3012	106	51	.	.	PUNCT
ejpam-3012	107	1	(	(	PUNCT
ejpam-3012	107	2	20	20	NUM
ejpam-3012	107	3	)	)	PUNCT
ejpam-3012	107	4	thus	thus	ADV
ejpam-3012	107	5	,	,	PUNCT
ejpam-3012	107	6	from	from	ADP
ejpam-3012	107	7	eqs	eqs	PROPN
ejpam-3012	107	8	.	.	PUNCT
ejpam-3012	108	1	(	(	PUNCT
ejpam-3012	108	2	11	11	NUM
ejpam-3012	108	3	)	)	PUNCT
ejpam-3012	108	4	,	,	PUNCT
ejpam-3012	108	5	(	(	PUNCT
ejpam-3012	108	6	12	12	NUM
ejpam-3012	108	7	)	)	PUNCT
ejpam-3012	108	8	,	,	PUNCT
ejpam-3012	108	9	(	(	PUNCT
ejpam-3012	108	10	19	19	NUM
ejpam-3012	108	11	)	)	PUNCT
ejpam-3012	108	12	and	and	CCONJ
ejpam-3012	108	13	(	(	PUNCT
ejpam-3012	108	14	20	20	NUM
ejpam-3012	108	15	)	)	PUNCT
ejpam-3012	108	16	,	,	PUNCT
ejpam-3012	108	17	it	it	PRON
ejpam-3012	108	18	is	be	AUX
ejpam-3012	108	19	found	find	VERB
ejpam-3012	108	20	that	that	SCONJ
ejpam-3012	108	21	(	(	PUNCT
ejpam-3012	108	22	λ+	λ+	X
ejpam-3012	108	23	2µ	2µ	NUM
ejpam-3012	108	24	)	)	PUNCT
ejpam-3012	108	25	∂e	∂e	PROPN
ejpam-3012	109	1	∂r	∂r	NOUN
ejpam-3012	109	2	−	−	NOUN
ejpam-3012	110	1	γ	γ	X
ejpam-3012	110	2	∂θ	∂θ	PROPN
ejpam-3012	111	1	∂r	∂r	ADJ
ejpam-3012	111	2	−	−	NOUN
ejpam-3012	111	3	µ0h0	µ0h0	PUNCT
ejpam-3012	111	4	(	(	PUNCT
ejpam-3012	111	5	∂h	∂h	PROPN
ejpam-3012	111	6	∂r	∂r	PROPN
ejpam-3012	111	7	+	+	NUM
ejpam-3012	111	8	ε0	ε0	PROPN
ejpam-3012	111	9	∂e	∂e	PROPN
ejpam-3012	111	10	∂t	∂t	PROPN
ejpam-3012	111	11	)	)	PUNCT
ejpam-3012	112	1	=	=	PROPN
ejpam-3012	112	2	ρ	ρ	PROPN
ejpam-3012	112	3	∂2u	∂2u	PROPN
ejpam-3012	112	4	∂t2	∂t2	PROPN
ejpam-3012	112	5	.	.	PUNCT
ejpam-3012	113	1	(	(	PUNCT
ejpam-3012	113	2	21	21	NUM
ejpam-3012	113	3	)	)	PUNCT
ejpam-3012	113	4	it	it	PRON
ejpam-3012	113	5	is	be	AUX
ejpam-3012	113	6	better	well	ADJ
ejpam-3012	113	7	to	to	PART
ejpam-3012	113	8	apply	apply	VERB
ejpam-3012	113	9	the	the	DET
ejpam-3012	113	10	operator	operator	NOUN
ejpam-3012	113	11	(	(	PUNCT
ejpam-3012	113	12	1	1	NUM
ejpam-3012	113	13	r	r	NOUN
ejpam-3012	113	14	)	)	PUNCT
ejpam-3012	113	15	(	(	PUNCT
ejpam-3012	113	16	∂	∂	NOUN
ejpam-3012	113	17	∂r	∂r	NOUN
ejpam-3012	113	18	)	)	PUNCT
ejpam-3012	114	1	(	(	PUNCT
ejpam-3012	114	2	r	r	NOUN
ejpam-3012	114	3	)	)	PUNCT
ejpam-3012	114	4	to	to	ADP
ejpam-3012	114	5	both	both	DET
ejpam-3012	114	6	sides	side	NOUN
ejpam-3012	114	7	of	of	ADP
ejpam-3012	114	8	eq	eq	PROPN
ejpam-3012	114	9	.	.	PUNCT
ejpam-3012	115	1	(	(	PUNCT
ejpam-3012	115	2	21	21	NUM
ejpam-3012	115	3	)	)	PUNCT
ejpam-3012	115	4	to	to	PART
ejpam-3012	115	5	get	get	VERB
ejpam-3012	115	6	(	(	PUNCT
ejpam-3012	115	7	λ+	λ+	NUM
ejpam-3012	115	8	2µ)∇2e−	2µ)∇2e−	NUM
ejpam-3012	115	9	γ∇2θ	γ∇2θ	PROPN
ejpam-3012	115	10	−	−	NOUN
ejpam-3012	115	11	µ0h0∇2h+	µ0h0∇2h+	NOUN
ejpam-3012	115	12	µ20h0ε0	µ20h0ε0	ADJ
ejpam-3012	115	13	∂2h	∂2h	NOUN
ejpam-3012	115	14	∂t2	∂t2	X
ejpam-3012	115	15	=	=	SYM
ejpam-3012	115	16	ρ	ρ	NUM
ejpam-3012	115	17	∂2e	∂2e	NOUN
ejpam-3012	115	18	∂t2	∂t2	NOUN
ejpam-3012	115	19	.	.	PUNCT
ejpam-3012	116	1	(	(	PUNCT
ejpam-3012	116	2	22	22	X
ejpam-3012	116	3	)	)	PUNCT
ejpam-3012	116	4	maxwell	maxwell	PROPN
ejpam-3012	116	5	electromagnetic	electromagnetic	PROPN
ejpam-3012	116	6	stress	stress	NOUN
ejpam-3012	116	7	tensor	tensor	NOUN
ejpam-3012	116	8	in	in	ADP
ejpam-3012	116	9	cylinder	cylinder	NOUN
ejpam-3012	116	10	is	be	AUX
ejpam-3012	116	11	given	give	VERB
ejpam-3012	116	12	due	due	ADP
ejpam-3012	116	13	to	to	ADP
ejpam-3012	116	14	induced	induced	ADJ
ejpam-3012	116	15	fields	field	NOUN
ejpam-3012	116	16	in	in	ADP
ejpam-3012	116	17	the	the	DET
ejpam-3012	116	18	form	form	NOUN
ejpam-3012	116	19	[	[	X
ejpam-3012	116	20	7	7	NUM
ejpam-3012	116	21	]	]	X
ejpam-3012	116	22	mij	mij	NOUN
ejpam-3012	116	23	=	=	PROPN
ejpam-3012	116	24	µ0	µ0	PROPN
ejpam-3012	116	25	(	(	PUNCT
ejpam-3012	116	26	hihj	hihj	PROPN
ejpam-3012	116	27	+	+	PROPN
ejpam-3012	116	28	hjhi	hjhi	NOUN
ejpam-3012	116	29	−	−	PROPN
ejpam-3012	116	30	δijhkhk	δijhkhk	NOUN
ejpam-3012	116	31	)	)	PUNCT
ejpam-3012	116	32	,	,	PUNCT
ejpam-3012	116	33	(	(	PUNCT
ejpam-3012	116	34	23	23	NUM
ejpam-3012	116	35	)	)	PUNCT
ejpam-3012	116	36	which	which	PRON
ejpam-3012	116	37	are	be	AUX
ejpam-3012	116	38	reduced	reduce	VERB
ejpam-3012	116	39	to	to	ADP
ejpam-3012	116	40	two	two	NUM
ejpam-3012	116	41	components	component	NOUN
ejpam-3012	116	42	mrr	mrr	NOUN
ejpam-3012	116	43	and	and	CCONJ
ejpam-3012	116	44	m0	m0	PROPN
ejpam-3012	116	45	rr	rr	PROPN
ejpam-3012	116	46	.	.	PUNCT
ejpam-3012	117	1	they	they	PRON
ejpam-3012	117	2	read	read	VERB
ejpam-3012	117	3	mrr	mrr	NOUN
ejpam-3012	117	4	=	=	SYM
ejpam-3012	117	5	−µ0h0h	−µ0h0h	PROPN
ejpam-3012	117	6	,	,	PUNCT
ejpam-3012	117	7	m0	m0	PROPN
ejpam-3012	117	8	rr	rr	X
ejpam-3012	117	9	=	=	PUNCT
ejpam-3012	117	10	−µ0h0h	−µ0h0h	PROPN
ejpam-3012	117	11	0	0	NUM
ejpam-3012	117	12	.	.	PUNCT
ejpam-3012	118	1	(	(	PUNCT
ejpam-3012	118	2	24	24	NUM
ejpam-3012	118	3	)	)	PUNCT
ejpam-3012	118	4	from	from	ADP
ejpam-3012	118	5	eqs	eqs	PROPN
ejpam-3012	118	6	.	.	PUNCT
ejpam-3012	119	1	(	(	PUNCT
ejpam-3012	119	2	6	6	NUM
ejpam-3012	119	3	)	)	PUNCT
ejpam-3012	119	4	,	,	PUNCT
ejpam-3012	119	5	the	the	DET
ejpam-3012	119	6	induced	induced	ADJ
ejpam-3012	119	7	field	field	NOUN
ejpam-3012	119	8	components	component	NOUN
ejpam-3012	119	9	in	in	ADP
ejpam-3012	119	10	adjoining	adjoin	VERB
ejpam-3012	119	11	free	free	ADJ
ejpam-3012	119	12	space	space	NOUN
ejpam-3012	119	13	will	will	AUX
ejpam-3012	119	14	be	be	AUX
ejpam-3012	119	15	e0	e0	PROPN
ejpam-3012	119	16	≡	≡	PROPN
ejpam-3012	119	17	(	(	PUNCT
ejpam-3012	119	18	0	0	NUM
ejpam-3012	119	19	,	,	PUNCT
ejpam-3012	119	20	e0	e0	PROPN
ejpam-3012	119	21	,	,	PUNCT
ejpam-3012	119	22	0	0	NUM
ejpam-3012	119	23	)	)	PUNCT
ejpam-3012	119	24	,	,	PUNCT
ejpam-3012	119	25	h0	h0	PROPN
ejpam-3012	119	26	≡	≡	PROPN
ejpam-3012	119	27	(	(	PUNCT
ejpam-3012	119	28	0	0	NUM
ejpam-3012	119	29	,	,	PUNCT
ejpam-3012	119	30	0	0	NUM
ejpam-3012	119	31	,	,	PUNCT
ejpam-3012	119	32	h0	h0	NOUN
ejpam-3012	119	33	)	)	PUNCT
ejpam-3012	119	34	.	.	PUNCT
ejpam-3012	120	1	(	(	PUNCT
ejpam-3012	120	2	25	25	NUM
ejpam-3012	120	3	)	)	PUNCT
ejpam-3012	120	4	using	use	VERB
ejpam-3012	120	5	the	the	DET
ejpam-3012	120	6	relation	relation	NOUN
ejpam-3012	120	7	∇×	∇×	NOUN
ejpam-3012	120	8	(	(	PUNCT
ejpam-3012	120	9	∇×a	∇×a	PROPN
ejpam-3012	120	10	)	)	PUNCT
ejpam-3012	120	11	=	=	X
ejpam-3012	120	12	∇	∇	X
ejpam-3012	120	13	(	(	PUNCT
ejpam-3012	120	14	∇	∇	X
ejpam-3012	120	15	·	·	SYM
ejpam-3012	120	16	a)−∇2a	a)−∇2a	PROPN
ejpam-3012	120	17	,	,	PUNCT
ejpam-3012	120	18	then	then	ADV
ejpam-3012	120	19	eq	eq	ADP
ejpam-3012	120	20	.	.	PUNCT
ejpam-3012	121	1	(	(	PUNCT
ejpam-3012	121	2	7	7	NUM
ejpam-3012	121	3	)	)	PUNCT
ejpam-3012	121	4	and	and	CCONJ
ejpam-3012	121	5	(	(	PUNCT
ejpam-3012	121	6	25	25	NUM
ejpam-3012	121	7	)	)	PUNCT
ejpam-3012	121	8	give	give	VERB
ejpam-3012	121	9	∇2h0	∇2h0	PRON
ejpam-3012	121	10	−	−	PROPN
ejpam-3012	121	11	µ0ε0	µ0ε0	PUNCT
ejpam-3012	121	12	∂2h0	∂2h0	X
ejpam-3012	121	13	∂t2	∂t2	NOUN
ejpam-3012	121	14	=	=	SYM
ejpam-3012	121	15	0	0	X
ejpam-3012	121	16	.	.	PUNCT
ejpam-3012	122	1	(	(	PUNCT
ejpam-3012	122	2	26	26	NUM
ejpam-3012	122	3	)	)	PUNCT
ejpam-3012	122	4	the	the	DET
ejpam-3012	122	5	thermal	thermal	ADJ
ejpam-3012	122	6	conductivity	conductivity	NOUN
ejpam-3012	122	7	k	k	PROPN
ejpam-3012	122	8	is	be	AUX
ejpam-3012	122	9	temperature	temperature	NOUN
ejpam-3012	122	10	-	-	PUNCT
ejpam-3012	122	11	dependent	dependent	ADJ
ejpam-3012	122	12	in	in	ADP
ejpam-3012	122	13	the	the	DET
ejpam-3012	122	14	linear	linear	ADJ
ejpam-3012	122	15	form	form	NOUN
ejpam-3012	122	16	[	[	X
ejpam-3012	122	17	19	19	NUM
ejpam-3012	122	18	]	]	X
ejpam-3012	122	19	k	k	NOUN
ejpam-3012	122	20	=	=	SYM
ejpam-3012	122	21	k(θ	k(θ	PROPN
ejpam-3012	122	22	)	)	PUNCT
ejpam-3012	122	23	=	=	SYM
ejpam-3012	122	24	k0	k0	PROPN
ejpam-3012	122	25	+	+	CCONJ
ejpam-3012	122	26	β0θ	β0θ	PROPN
ejpam-3012	122	27	,	,	PUNCT
ejpam-3012	122	28	(	(	PUNCT
ejpam-3012	122	29	27	27	NUM
ejpam-3012	122	30	)	)	PUNCT
ejpam-3012	122	31	where	where	SCONJ
ejpam-3012	122	32	k0	k0	PROPN
ejpam-3012	122	33	denotes	denote	VERB
ejpam-3012	122	34	thermal	thermal	ADJ
ejpam-3012	122	35	conductivity	conductivity	NOUN
ejpam-3012	122	36	at	at	ADP
ejpam-3012	122	37	t0	t0	PROPN
ejpam-3012	122	38	and	and	CCONJ
ejpam-3012	122	39	β0	β0	NOUN
ejpam-3012	122	40	=	=	PUNCT
ejpam-3012	122	41	k0β1	k0β1	X
ejpam-3012	122	42	represents	represent	VERB
ejpam-3012	122	43	slope	slope	NOUN
ejpam-3012	122	44	of	of	ADP
ejpam-3012	122	45	thermal	thermal	ADJ
ejpam-3012	122	46	conductivity	conductivity	NOUN
ejpam-3012	122	47	-	-	PUNCT
ejpam-3012	122	48	temperature	temperature	NOUN
ejpam-3012	122	49	curve	curve	NOUN
ejpam-3012	122	50	in	in	ADP
ejpam-3012	122	51	which	which	PRON
ejpam-3012	122	52	β1	β1	PROPN
ejpam-3012	122	53	is	be	AUX
ejpam-3012	122	54	constant	constant	ADJ
ejpam-3012	122	55	.	.	PUNCT
ejpam-3012	123	1	now	now	ADV
ejpam-3012	123	2	,	,	PUNCT
ejpam-3012	123	3	we	we	PRON
ejpam-3012	123	4	introduce	introduce	VERB
ejpam-3012	123	5	the	the	DET
ejpam-3012	123	6	mapping	mapping	NOUN
ejpam-3012	123	7	[	[	X
ejpam-3012	123	8	17	17	NUM
ejpam-3012	123	9	]	]	SYM
ejpam-3012	123	10	ψ	ψ	NOUN
ejpam-3012	123	11	=	=	SYM
ejpam-3012	123	12	1	1	NUM
ejpam-3012	123	13	k0	k0	PROPN
ejpam-3012	123	14	∫	∫	PROPN
ejpam-3012	123	15	θ	θ	PROPN
ejpam-3012	123	16	0	0	NUM
ejpam-3012	124	1	k(θ)dθ	k(θ)dθ	PROPN
ejpam-3012	124	2	,	,	PUNCT
ejpam-3012	124	3	(	(	PUNCT
ejpam-3012	124	4	28	28	NUM
ejpam-3012	124	5	)	)	PUNCT
ejpam-3012	124	6	in	in	ADP
ejpam-3012	124	7	which	which	PRON
ejpam-3012	124	8	ψ	ψ	ADP
ejpam-3012	124	9	is	be	AUX
ejpam-3012	124	10	new	new	ADJ
ejpam-3012	124	11	function	function	NOUN
ejpam-3012	124	12	of	of	ADP
ejpam-3012	124	13	heat	heat	NOUN
ejpam-3012	124	14	conduction	conduction	NOUN
ejpam-3012	124	15	.	.	PUNCT
ejpam-3012	125	1	substituting	substitute	VERB
ejpam-3012	125	2	eq	eq	ADP
ejpam-3012	125	3	.	.	PUNCT
ejpam-3012	126	1	(	(	PUNCT
ejpam-3012	126	2	27	27	NUM
ejpam-3012	126	3	)	)	PUNCT
ejpam-3012	126	4	into	into	ADP
ejpam-3012	126	5	eq	eq	NOUN
ejpam-3012	126	6	.	.	PUNCT
ejpam-3012	127	1	(	(	PUNCT
ejpam-3012	127	2	28	28	NUM
ejpam-3012	127	3	)	)	PUNCT
ejpam-3012	127	4	gives	give	VERB
ejpam-3012	127	5	[	[	PUNCT
ejpam-3012	127	6	31	31	NUM
ejpam-3012	127	7	]	]	SYM
ejpam-3012	127	8	ψ	ψ	NOUN
ejpam-3012	127	9	=	=	SYM
ejpam-3012	127	10	θ	θ	PROPN
ejpam-3012	127	11	(	(	PUNCT
ejpam-3012	127	12	1	1	NUM
ejpam-3012	127	13	+	+	CCONJ
ejpam-3012	127	14	1	1	NUM
ejpam-3012	127	15	2	2	NUM
ejpam-3012	127	16	β1θ	β1θ	NOUN
ejpam-3012	127	17	)	)	PUNCT
ejpam-3012	127	18	.	.	PUNCT
ejpam-3012	128	1	(	(	PUNCT
ejpam-3012	128	2	29	29	NUM
ejpam-3012	128	3	)	)	PUNCT
ejpam-3012	128	4	a.	a.	NOUN
ejpam-3012	128	5	m.	m.	NOUN
ejpam-3012	128	6	zenkour	zenkour	PROPN
ejpam-3012	128	7	et	et	PROPN
ejpam-3012	128	8	al	al	PROPN
ejpam-3012	128	9	.	.	PUNCT
ejpam-3012	128	10	/	/	SYM
ejpam-3012	128	11	eur	eur	PROPN
ejpam-3012	128	12	.	.	PUNCT
ejpam-3012	129	1	j.	j.	PROPN
ejpam-3012	129	2	pure	pure	PROPN
ejpam-3012	129	3	appl	appl	PROPN
ejpam-3012	129	4	.	.	PROPN
ejpam-3012	129	5	math	math	PROPN
ejpam-3012	129	6	,	,	PUNCT
ejpam-3012	129	7	10	10	NUM
ejpam-3012	129	8	(	(	PUNCT
ejpam-3012	129	9	4	4	NUM
ejpam-3012	129	10	)	)	PUNCT
ejpam-3012	129	11	(	(	PUNCT
ejpam-3012	129	12	2017	2017	NUM
ejpam-3012	129	13	)	)	PUNCT
ejpam-3012	129	14	,	,	PUNCT
ejpam-3012	129	15	786	786	NUM
ejpam-3012	129	16	-	-	SYM
ejpam-3012	129	17	808	808	NUM
ejpam-3012	129	18	792	792	NUM
ejpam-3012	129	19	differentiating	differentiate	VERB
ejpam-3012	129	20	eq	eq	NOUN
ejpam-3012	129	21	.	.	PUNCT
ejpam-3012	130	1	(	(	PUNCT
ejpam-3012	130	2	28	28	NUM
ejpam-3012	130	3	)	)	PUNCT
ejpam-3012	130	4	with	with	ADP
ejpam-3012	130	5	respect	respect	NOUN
ejpam-3012	130	6	to	to	ADP
ejpam-3012	130	7	r	r	NOUN
ejpam-3012	130	8	,	,	PUNCT
ejpam-3012	130	9	one	one	NOUN
ejpam-3012	130	10	obtains	obtain	VERB
ejpam-3012	130	11	k0ψ	k0ψ	PROPN
ejpam-3012	130	12	,	,	PUNCT
ejpam-3012	130	13	r	r	NOUN
ejpam-3012	130	14	=	=	SYM
ejpam-3012	130	15	k(θ)θ	k(θ)θ	PROPN
ejpam-3012	130	16	,	,	PUNCT
ejpam-3012	130	17	r.	r.	PROPN
ejpam-3012	130	18	(	(	PUNCT
ejpam-3012	130	19	30	30	NUM
ejpam-3012	130	20	)	)	PUNCT
ejpam-3012	130	21	also	also	ADV
ejpam-3012	130	22	,	,	PUNCT
ejpam-3012	130	23	differentiating	differentiate	VERB
ejpam-3012	130	24	eq	eq	ADP
ejpam-3012	130	25	.	.	PUNCT
ejpam-3012	131	1	(	(	PUNCT
ejpam-3012	131	2	30	30	NUM
ejpam-3012	131	3	)	)	PUNCT
ejpam-3012	131	4	once	once	ADV
ejpam-3012	131	5	again	again	ADV
ejpam-3012	131	6	with	with	ADP
ejpam-3012	131	7	respect	respect	NOUN
ejpam-3012	131	8	to	to	ADP
ejpam-3012	131	9	r	r	NOUN
ejpam-3012	131	10	,	,	PUNCT
ejpam-3012	131	11	one	one	PRON
ejpam-3012	131	12	gets	get	VERB
ejpam-3012	131	13	k0ψ	k0ψ	PROPN
ejpam-3012	131	14	,	,	PUNCT
ejpam-3012	131	15	rr	rr	NOUN
ejpam-3012	132	1	=	=	PUNCT
ejpam-3012	133	1	[	[	X
ejpam-3012	133	2	k(θ)θ	k(θ)θ	PROPN
ejpam-3012	133	3	,	,	PUNCT
ejpam-3012	133	4	r],r	r],r	ADJ
ejpam-3012	133	5	.	.	PUNCT
ejpam-3012	134	1	(	(	PUNCT
ejpam-3012	134	2	31	31	NUM
ejpam-3012	134	3	)	)	PUNCT
ejpam-3012	134	4	in	in	ADP
ejpam-3012	134	5	addition	addition	NOUN
ejpam-3012	134	6	,	,	PUNCT
ejpam-3012	134	7	the	the	DET
ejpam-3012	134	8	first	first	ADJ
ejpam-3012	134	9	derivative	derivative	NOUN
ejpam-3012	134	10	of	of	ADP
ejpam-3012	134	11	mapping	mapping	NOUN
ejpam-3012	134	12	with	with	ADP
ejpam-3012	134	13	respect	respect	NOUN
ejpam-3012	134	14	to	to	ADP
ejpam-3012	134	15	t	t	PROPN
ejpam-3012	134	16	gives	give	VERB
ejpam-3012	134	17	k0ψ̇,rr	k0ψ̇,rr	NOUN
ejpam-3012	134	18	=	=	PUNCT
ejpam-3012	134	19	k(θ)θ̇.	k(θ)θ̇.	X
ejpam-3012	134	20	(	(	PUNCT
ejpam-3012	134	21	32	32	NUM
ejpam-3012	134	22	)	)	PUNCT
ejpam-3012	134	23	using	use	VERB
ejpam-3012	134	24	eqs	eqs	PROPN
ejpam-3012	134	25	.	.	PUNCT
ejpam-3012	135	1	(	(	PUNCT
ejpam-3012	135	2	31	31	NUM
ejpam-3012	135	3	)	)	PUNCT
ejpam-3012	135	4	and	and	CCONJ
ejpam-3012	135	5	(	(	PUNCT
ejpam-3012	135	6	32	32	NUM
ejpam-3012	135	7	)	)	PUNCT
ejpam-3012	135	8	,	,	PUNCT
ejpam-3012	135	9	eq	eq	NOUN
ejpam-3012	135	10	.	.	PUNCT
ejpam-3012	136	1	(	(	PUNCT
ejpam-3012	136	2	9	9	X
ejpam-3012	136	3	)	)	PUNCT
ejpam-3012	136	4	becomes	become	VERB
ejpam-3012	136	5	(	(	PUNCT
ejpam-3012	136	6	1	1	NUM
ejpam-3012	136	7	+	+	CCONJ
ejpam-3012	136	8	τθ	τθ	NOUN
ejpam-3012	136	9	∂	∂	X
ejpam-3012	136	10	∂t	∂t	PROPN
ejpam-3012	136	11	)	)	PUNCT
ejpam-3012	136	12	∇2ψ	∇2ψ	PROPN
ejpam-3012	137	1	=	=	PUNCT
ejpam-3012	137	2	(	(	PUNCT
ejpam-3012	137	3	1	1	NUM
ejpam-3012	137	4	+	+	NUM
ejpam-3012	137	5	τq	τq	PRON
ejpam-3012	137	6	∂	∂	NOUN
ejpam-3012	137	7	∂t	∂t	PROPN
ejpam-3012	137	8	)	)	PUNCT
ejpam-3012	137	9	(	(	PUNCT
ejpam-3012	137	10	1	1	NUM
ejpam-3012	137	11	k	k	X
ejpam-3012	137	12	∂ψ	∂ψ	PROPN
ejpam-3012	138	1	∂t	∂t	PROPN
ejpam-3012	138	2	+	+	CCONJ
ejpam-3012	138	3	γt0	γt0	PROPN
ejpam-3012	138	4	k0	k0	PROPN
ejpam-3012	138	5	∂e	∂e	PROPN
ejpam-3012	138	6	∂t	∂t	PROPN
ejpam-3012	138	7	)	)	PUNCT
ejpam-3012	138	8	,	,	PUNCT
ejpam-3012	138	9	(	(	PUNCT
ejpam-3012	138	10	33	33	NUM
ejpam-3012	138	11	)	)	PUNCT
ejpam-3012	138	12	where	where	SCONJ
ejpam-3012	138	13	ρce	ρce	NOUN
ejpam-3012	138	14	=	=	SYM
ejpam-3012	138	15	k	k	PROPN
ejpam-3012	138	16	/	/	SYM
ejpam-3012	138	17	k	k	PROPN
ejpam-3012	138	18	and	and	CCONJ
ejpam-3012	138	19	k	k	PROPN
ejpam-3012	138	20	is	be	AUX
ejpam-3012	138	21	the	the	DET
ejpam-3012	138	22	diffusivity	diffusivity	NOUN
ejpam-3012	138	23	.	.	PUNCT
ejpam-3012	139	1	for	for	ADP
ejpam-3012	139	2	linearity	linearity	NOUN
ejpam-3012	139	3	,	,	PUNCT
ejpam-3012	139	4	and	and	CCONJ
ejpam-3012	139	5	remember	remember	VERB
ejpam-3012	139	6	that	that	PRON
ejpam-3012	139	7	θ	θ	PROPN
ejpam-3012	139	8	=	=	SYM
ejpam-3012	139	9	t	t	PROPN
ejpam-3012	139	10	−	−	PROPN
ejpam-3012	139	11	t0	t0	PROPN
ejpam-3012	139	12	with	with	ADP
ejpam-3012	139	13	|θ	|θ	NOUN
ejpam-3012	139	14	/	/	SYM
ejpam-3012	139	15	t0|	t0|	NOUN
ejpam-3012	139	16	<	<	X
ejpam-3012	139	17	<	<	X
ejpam-3012	139	18	1	1	NUM
ejpam-3012	139	19	,	,	PUNCT
ejpam-3012	139	20	then	then	ADV
ejpam-3012	139	21	eqs	eqs	X
ejpam-3012	139	22	.	.	PUNCT
ejpam-3012	140	1	(	(	PUNCT
ejpam-3012	140	2	22	22	NUM
ejpam-3012	140	3	)	)	PUNCT
ejpam-3012	140	4	,	,	PUNCT
ejpam-3012	140	5	(	(	PUNCT
ejpam-3012	140	6	17	17	NUM
ejpam-3012	140	7	)	)	PUNCT
ejpam-3012	140	8	and	and	CCONJ
ejpam-3012	140	9	(	(	PUNCT
ejpam-3012	140	10	18	18	NUM
ejpam-3012	140	11	)	)	PUNCT
ejpam-3012	140	12	take	take	VERB
ejpam-3012	140	13	the	the	DET
ejpam-3012	140	14	forms	form	NOUN
ejpam-3012	140	15	(	(	PUNCT
ejpam-3012	140	16	λ+	λ+	NUM
ejpam-3012	140	17	2µ)∇2e−	2µ)∇2e−	NUM
ejpam-3012	140	18	γ∇2ψ	γ∇2ψ	ADP
ejpam-3012	140	19	−	−	NOUN
ejpam-3012	140	20	µ0h0∇2h+	µ0h0∇2h+	NOUN
ejpam-3012	140	21	µ20h0ε0	µ20h0ε0	ADJ
ejpam-3012	140	22	∂2h	∂2h	NOUN
ejpam-3012	140	23	∂t2	∂t2	X
ejpam-3012	140	24	=	=	SYM
ejpam-3012	140	25	ρ	ρ	NUM
ejpam-3012	140	26	∂2e	∂2e	NOUN
ejpam-3012	140	27	∂t2	∂t2	NOUN
ejpam-3012	140	28	.	.	PUNCT
ejpam-3012	141	1	(	(	PUNCT
ejpam-3012	141	2	34	34	X
ejpam-3012	141	3	)	)	PUNCT
ejpam-3012	141	4	∂h	∂h	PROPN
ejpam-3012	141	5	∂r	∂r	PROPN
ejpam-3012	141	6	=	=	SYM
ejpam-3012	141	7	σ0µ0h0	σ0µ0h0	PROPN
ejpam-3012	141	8	∂u	∂u	PROPN
ejpam-3012	141	9	∂t	∂t	PROPN
ejpam-3012	141	10	−	−	PROPN
ejpam-3012	141	11	σ0e	σ0e	VERB
ejpam-3012	141	12	−	−	PROPN
ejpam-3012	141	13	ε0	ε0	PROPN
ejpam-3012	141	14	∂e	∂e	PROPN
ejpam-3012	141	15	∂t	∂t	PROPN
ejpam-3012	141	16	+	+	CCONJ
ejpam-3012	142	1	k0	k0	PROPN
ejpam-3012	142	2	∂ψ	∂ψ	PROPN
ejpam-3012	143	1	∂r	∂r	PROPN
ejpam-3012	143	2	,	,	PUNCT
ejpam-3012	143	3	(	(	PUNCT
ejpam-3012	143	4	35	35	NUM
ejpam-3012	143	5	)	)	PUNCT
ejpam-3012	143	6	(	(	PUNCT
ejpam-3012	143	7	∇2	∇2	PROPN
ejpam-3012	143	8	−	−	PROPN
ejpam-3012	143	9	σ0µ0	σ0µ0	NOUN
ejpam-3012	143	10	∂	∂	NOUN
ejpam-3012	143	11	∂t	∂t	PROPN
ejpam-3012	143	12	−	−	PROPN
ejpam-3012	143	13	µ0ε0	µ0ε0	PUNCT
ejpam-3012	143	14	∂2	∂2	NOUN
ejpam-3012	143	15	∂t2	∂t2	NOUN
ejpam-3012	143	16	)	)	PUNCT
ejpam-3012	143	17	h	h	NOUN
ejpam-3012	143	18	=	=	PROPN
ejpam-3012	143	19	σ0µ0h0	σ0µ0h0	PROPN
ejpam-3012	143	20	∂e	∂e	PROPN
ejpam-3012	143	21	∂t	∂t	PROPN
ejpam-3012	144	1	+	+	CCONJ
ejpam-3012	144	2	k0∇2ψ	k0∇2ψ	PROPN
ejpam-3012	144	3	.	.	PUNCT
ejpam-3012	145	1	(	(	PUNCT
ejpam-3012	145	2	36	36	NUM
ejpam-3012	145	3	)	)	PUNCT
ejpam-3012	145	4	the	the	DET
ejpam-3012	145	5	constitutive	constitutive	ADJ
ejpam-3012	145	6	relations	relation	NOUN
ejpam-3012	145	7	given	give	VERB
ejpam-3012	145	8	in	in	ADP
ejpam-3012	145	9	eqs	eqs	PROPN
ejpam-3012	145	10	.	.	PUNCT
ejpam-3012	146	1	(	(	PUNCT
ejpam-3012	146	2	12	12	NUM
ejpam-3012	146	3	)	)	PUNCT
ejpam-3012	146	4	,	,	PUNCT
ejpam-3012	146	5	for	for	ADP
ejpam-3012	146	6	linearity	linearity	NOUN
ejpam-3012	146	7	will	will	AUX
ejpam-3012	146	8	be	be	AUX
ejpam-3012	146	9	in	in	ADP
ejpam-3012	146	10	the	the	DET
ejpam-3012	146	11	forms	form	NOUN
ejpam-3012	146	12	σrr	σrr	NOUN
ejpam-3012	146	13	=	=	SYM
ejpam-3012	146	14	2µ	2µ	NUM
ejpam-3012	146	15	∂u	∂u	PROPN
ejpam-3012	147	1	∂r	∂r	ADJ
ejpam-3012	148	1	+	+	CCONJ
ejpam-3012	148	2	λe−	λe−	NOUN
ejpam-3012	148	3	γψ	γψ	CCONJ
ejpam-3012	148	4	,	,	PUNCT
ejpam-3012	148	5	σϕϕ	σϕϕ	NOUN
ejpam-3012	148	6	=	=	SYM
ejpam-3012	148	7	2µ	2µ	NUM
ejpam-3012	148	8	u	u	NOUN
ejpam-3012	148	9	r	r	NOUN
ejpam-3012	148	10	+	+	X
ejpam-3012	148	11	λe−	λe−	PROPN
ejpam-3012	148	12	γψ	γψ	CCONJ
ejpam-3012	148	13	,	,	PUNCT
ejpam-3012	148	14	σzz	σzz	NOUN
ejpam-3012	148	15	=	=	PUNCT
ejpam-3012	148	16	λe−	λe−	PUNCT
ejpam-3012	148	17	γψ	γψ	NOUN
ejpam-3012	148	18	.	.	PUNCT
ejpam-3012	149	1	(	(	PUNCT
ejpam-3012	149	2	37	37	NUM
ejpam-3012	149	3	)	)	PUNCT
ejpam-3012	149	4	4	4	NUM
ejpam-3012	149	5	.	.	PUNCT
ejpam-3012	149	6	solution	solution	NOUN
ejpam-3012	149	7	of	of	ADP
ejpam-3012	149	8	the	the	DET
ejpam-3012	149	9	problem	problem	NOUN
ejpam-3012	149	10	for	for	ADP
ejpam-3012	149	11	convenience	convenience	NOUN
ejpam-3012	150	1	,	,	PUNCT
ejpam-3012	150	2	one	one	PRON
ejpam-3012	150	3	can	can	AUX
ejpam-3012	150	4	dimensionless	dimensionless	VERB
ejpam-3012	150	5	all	all	DET
ejpam-3012	150	6	quantities	quantity	NOUN
ejpam-3012	150	7	as	as	SCONJ
ejpam-3012	150	8	follows	follow	VERB
ejpam-3012	150	9	[	[	X
ejpam-3012	150	10	24	24	NUM
ejpam-3012	150	11	]	]	PUNCT
ejpam-3012	150	12	u	u	NOUN
ejpam-3012	150	13	′	′	NOUN
ejpam-3012	150	14	=	=	PUNCT
ejpam-3012	150	15	gc1ηu	gc1ηu	NOUN
ejpam-3012	150	16	,	,	PUNCT
ejpam-3012	150	17	r	r	NOUN
ejpam-3012	150	18	′	′	NOUN
ejpam-3012	150	19	=	=	SYM
ejpam-3012	150	20	c1ηr	c1ηr	PROPN
ejpam-3012	150	21	,	,	PUNCT
ejpam-3012	150	22	a	a	DET
ejpam-3012	150	23	′	′	NOUN
ejpam-3012	150	24	=	=	SYM
ejpam-3012	150	25	c1ηa	c1ηa	X
ejpam-3012	150	26	,	,	PUNCT
ejpam-3012	150	27	t	t	NOUN
ejpam-3012	150	28	′	′	NOUN
ejpam-3012	150	29	=	=	SYM
ejpam-3012	150	30	c21ηt	c21ηt	PROPN
ejpam-3012	150	31	,	,	PUNCT
ejpam-3012	150	32	τ	τ	X
ejpam-3012	150	33	′	′	NOUN
ejpam-3012	150	34	q	q	PROPN
ejpam-3012	150	35	=	=	SYM
ejpam-3012	150	36	c21ητq	c21ητq	PROPN
ejpam-3012	150	37	,	,	PUNCT
ejpam-3012	150	38	m	m	VERB
ejpam-3012	150	39	′	′	NUM
ejpam-3012	150	40	rr	rr	NOUN
ejpam-3012	151	1	=	=	PRON
ejpam-3012	151	2	gmrr	gmrr	PROPN
ejpam-3012	151	3	µ	µ	NOUN
ejpam-3012	151	4	,	,	PUNCT
ejpam-3012	151	5	e	e	NOUN
ejpam-3012	151	6	′	′	NOUN
ejpam-3012	151	7	=	=	NOUN
ejpam-3012	151	8	ηge	ηge	VERB
ejpam-3012	151	9	σ0µ20h0c1	σ0µ20h0c1	PUNCT
ejpam-3012	151	10	,	,	PUNCT
ejpam-3012	151	11	ψ	ψ	VERB
ejpam-3012	151	12	′	′	NOUN
ejpam-3012	151	13	=	=	SYM
ejpam-3012	151	14	ψ	ψ	PROPN
ejpam-3012	151	15	t0	t0	PROPN
ejpam-3012	151	16	,	,	PUNCT
ejpam-3012	151	17	j	j	PROPN
ejpam-3012	151	18	′	′	NUM
ejpam-3012	152	1	=	=	PUNCT
ejpam-3012	152	2	ηgj	ηgj	PROPN
ejpam-3012	152	3	σ20µ	σ20µ	NUM
ejpam-3012	152	4	2	2	NUM
ejpam-3012	152	5	0h0c1	0h0c1	NOUN
ejpam-3012	152	6	,	,	PUNCT
ejpam-3012	152	7	τ	τ	PROPN
ejpam-3012	152	8	′	′	NUM
ejpam-3012	152	9	θ	θ	NOUN
ejpam-3012	152	10	=	=	PUNCT
ejpam-3012	153	1	c21ητθ	c21ητθ	PROPN
ejpam-3012	153	2	,	,	PUNCT
ejpam-3012	153	3	h	h	NOUN
ejpam-3012	153	4	′	′	NUM
ejpam-3012	154	1	=	=	PUNCT
ejpam-3012	154	2	ηgh	ηgh	PROPN
ejpam-3012	154	3	σ0µ0h0	σ0µ0h0	PROPN
ejpam-3012	154	4	,	,	PUNCT
ejpam-3012	154	5	e	e	NOUN
ejpam-3012	154	6	′	′	NOUN
ejpam-3012	154	7	=	=	SYM
ejpam-3012	154	8	ge	ge	PROPN
ejpam-3012	154	9	,	,	PUNCT
ejpam-3012	154	10	k	k	PROPN
ejpam-3012	155	1	′	′	NOUN
ejpam-3012	156	1	1	1	NUM
ejpam-3012	157	1	=	=	SYM
ejpam-3012	158	1	t0k1	t0k1	PROPN
ejpam-3012	158	2	,	,	PUNCT
ejpam-3012	158	3	σ	σ	PROPN
ejpam-3012	158	4	′	′	NUM
ejpam-3012	158	5	ij	ij	NOUN
ejpam-3012	158	6	=	=	PUNCT
ejpam-3012	158	7	gσij	gσij	PROPN
ejpam-3012	158	8	µ	µ	X
ejpam-3012	158	9	,	,	PUNCT
ejpam-3012	158	10	c21	c21	NOUN
ejpam-3012	158	11	=	=	PUNCT
ejpam-3012	158	12	λ+	λ+	PUNCT
ejpam-3012	158	13	2µ	2µ	NUM
ejpam-3012	158	14	ρ	ρ	PROPN
ejpam-3012	158	15	,	,	PUNCT
ejpam-3012	158	16	η	η	PROPN
ejpam-3012	158	17	=	=	PROPN
ejpam-3012	158	18	ρce	ρce	PROPN
ejpam-3012	158	19	k	k	NOUN
ejpam-3012	158	20	,	,	PUNCT
ejpam-3012	158	21	g	g	X
ejpam-3012	158	22	=	=	SYM
ejpam-3012	158	23	γ	γ	X
ejpam-3012	158	24	ρce	ρce	NOUN
ejpam-3012	158	25	.	.	PUNCT
ejpam-3012	159	1	(	(	PUNCT
ejpam-3012	159	2	38	38	NUM
ejpam-3012	159	3	)	)	PUNCT
ejpam-3012	159	4	a.	a.	NOUN
ejpam-3012	159	5	m.	m.	NOUN
ejpam-3012	159	6	zenkour	zenkour	PROPN
ejpam-3012	159	7	et	et	PROPN
ejpam-3012	159	8	al	al	PROPN
ejpam-3012	159	9	.	.	PUNCT
ejpam-3012	159	10	/	/	SYM
ejpam-3012	159	11	eur	eur	PROPN
ejpam-3012	159	12	.	.	PUNCT
ejpam-3012	160	1	j.	j.	PROPN
ejpam-3012	160	2	pure	pure	PROPN
ejpam-3012	160	3	appl	appl	PROPN
ejpam-3012	160	4	.	.	PROPN
ejpam-3012	160	5	math	math	PROPN
ejpam-3012	160	6	,	,	PUNCT
ejpam-3012	160	7	10	10	NUM
ejpam-3012	160	8	(	(	PUNCT
ejpam-3012	160	9	4	4	NUM
ejpam-3012	160	10	)	)	PUNCT
ejpam-3012	160	11	(	(	PUNCT
ejpam-3012	160	12	2017	2017	NUM
ejpam-3012	160	13	)	)	PUNCT
ejpam-3012	160	14	,	,	PUNCT
ejpam-3012	160	15	786	786	NUM
ejpam-3012	160	16	-	-	SYM
ejpam-3012	160	17	808	808	NUM
ejpam-3012	160	18	793	793	NUM
ejpam-3012	160	19	in	in	ADP
ejpam-3012	160	20	terms	term	NOUN
ejpam-3012	160	21	of	of	ADP
ejpam-3012	160	22	dimensionless	dimensionless	NOUN
ejpam-3012	160	23	quantities	quantity	NOUN
ejpam-3012	160	24	,	,	PUNCT
ejpam-3012	160	25	eqs	eqs	X
ejpam-3012	160	26	.	.	PUNCT
ejpam-3012	161	1	(	(	PUNCT
ejpam-3012	161	2	33)-(37	33)-(37	NUM
ejpam-3012	161	3	)	)	PUNCT
ejpam-3012	161	4	and	and	CCONJ
ejpam-3012	161	5	eq	eq	NOUN
ejpam-3012	161	6	.	.	PUNCT
ejpam-3012	162	1	(	(	PUNCT
ejpam-3012	162	2	30	30	NUM
ejpam-3012	162	3	)	)	PUNCT
ejpam-3012	162	4	(	(	PUNCT
ejpam-3012	162	5	suppressing	suppress	VERB
ejpam-3012	162	6	primes	prime	NOUN
ejpam-3012	162	7	for	for	ADP
ejpam-3012	162	8	simplicity	simplicity	NOUN
ejpam-3012	162	9	in	in	ADP
ejpam-3012	162	10	the	the	DET
ejpam-3012	162	11	notation	notation	NOUN
ejpam-3012	162	12	)	)	PUNCT
ejpam-3012	162	13	,	,	PUNCT
ejpam-3012	162	14	are	be	AUX
ejpam-3012	162	15	reduced	reduce	VERB
ejpam-3012	162	16	to	to	ADP
ejpam-3012	162	17	∂h	∂h	PROPN
ejpam-3012	162	18	∂r	∂r	PROPN
ejpam-3012	162	19	=	=	PUNCT
ejpam-3012	162	20	∂u	∂u	PROPN
ejpam-3012	162	21	∂t	∂t	PROPN
ejpam-3012	162	22	−	−	PROPN
ejpam-3012	162	23	v1e	v1e	PROPN
ejpam-3012	162	24	−	−	NOUN
ejpam-3012	162	25	v	v	ADP
ejpam-3012	162	26	2∂e	2∂e	NUM
ejpam-3012	163	1	∂t	∂t	PROPN
ejpam-3012	163	2	+	+	CCONJ
ejpam-3012	163	3	s	s	PROPN
ejpam-3012	163	4	∂ψ	∂ψ	PROPN
ejpam-3012	164	1	∂r	∂r	PROPN
ejpam-3012	164	2	,	,	PUNCT
ejpam-3012	164	3	(	(	PUNCT
ejpam-3012	164	4	39	39	NUM
ejpam-3012	164	5	)	)	PUNCT
ejpam-3012	164	6	(	(	PUNCT
ejpam-3012	164	7	∇2	∇2	PROPN
ejpam-3012	164	8	−	−	PROPN
ejpam-3012	164	9	v1	v1	NOUN
ejpam-3012	164	10	∂	∂	NOUN
ejpam-3012	164	11	∂t	∂t	PROPN
ejpam-3012	164	12	−	−	NUM
ejpam-3012	164	13	v	v	NUM
ejpam-3012	164	14	2	2	NUM
ejpam-3012	164	15	∂	∂	NUM
ejpam-3012	164	16	2	2	NUM
ejpam-3012	164	17	∂t2	∂t2	NOUN
ejpam-3012	164	18	)	)	PUNCT
ejpam-3012	164	19	h	h	NOUN
ejpam-3012	165	1	=	=	PUNCT
ejpam-3012	165	2	∂e	∂e	PROPN
ejpam-3012	165	3	∂t	∂t	PROPN
ejpam-3012	165	4	+	+	CCONJ
ejpam-3012	165	5	s∇2ψ	s∇2ψ	PROPN
ejpam-3012	165	6	,	,	PUNCT
ejpam-3012	165	7	(	(	PUNCT
ejpam-3012	165	8	40	40	NUM
ejpam-3012	165	9	)	)	PUNCT
ejpam-3012	165	10	∇2e−	∇2e−	PROPN
ejpam-3012	165	11	ε∇2ψ	ε∇2ψ	ADV
ejpam-3012	165	12	−	−	PROPN
ejpam-3012	165	13	v1g2∇2h+	v1g2∇2h+	NOUN
ejpam-3012	165	14	v1g2v	v1g2v	PUNCT
ejpam-3012	165	15	2∂h	2∂h	NUM
ejpam-3012	165	16	∂t	∂t	PROPN
ejpam-3012	165	17	=	=	SYM
ejpam-3012	165	18	∂2e	∂2e	PROPN
ejpam-3012	165	19	∂t2	∂t2	NOUN
ejpam-3012	165	20	,	,	PUNCT
ejpam-3012	165	21	(	(	PUNCT
ejpam-3012	165	22	41	41	NUM
ejpam-3012	165	23	)	)	PUNCT
ejpam-3012	165	24	(	(	PUNCT
ejpam-3012	165	25	1	1	NUM
ejpam-3012	165	26	+	+	CCONJ
ejpam-3012	165	27	τθ	τθ	NOUN
ejpam-3012	165	28	∂	∂	X
ejpam-3012	165	29	∂t	∂t	PROPN
ejpam-3012	165	30	)	)	PUNCT
ejpam-3012	165	31	∇2ψ	∇2ψ	PROPN
ejpam-3012	166	1	=	=	SYM
ejpam-3012	166	2	∂	∂	NUM
ejpam-3012	166	3	∂t	∂t	PROPN
ejpam-3012	166	4	(	(	PUNCT
ejpam-3012	166	5	1	1	NUM
ejpam-3012	166	6	+	+	NUM
ejpam-3012	166	7	τq	τq	PRON
ejpam-3012	166	8	∂	∂	NOUN
ejpam-3012	166	9	∂t	∂t	PROPN
ejpam-3012	166	10	)	)	PUNCT
ejpam-3012	166	11	(	(	PUNCT
ejpam-3012	166	12	ψ	ψ	X
ejpam-3012	166	13	+	+	CCONJ
ejpam-3012	166	14	e	e	NOUN
ejpam-3012	166	15	)	)	PUNCT
ejpam-3012	166	16	,	,	PUNCT
ejpam-3012	166	17	(	(	PUNCT
ejpam-3012	166	18	42	42	NUM
ejpam-3012	166	19	)	)	PUNCT
ejpam-3012	166	20	∇2h0	∇2h0	PROPN
ejpam-3012	166	21	−	−	PROPN
ejpam-3012	166	22	v	v	NUM
ejpam-3012	166	23	2∂	2∂	NOUN
ejpam-3012	166	24	2h0	2h0	NUM
ejpam-3012	166	25	∂t2	∂t2	NOUN
ejpam-3012	166	26	=	=	SYM
ejpam-3012	166	27	0	0	NUM
ejpam-3012	166	28	,	,	PUNCT
ejpam-3012	166	29	(	(	PUNCT
ejpam-3012	166	30	43	43	NUM
ejpam-3012	166	31	)	)	SYM
ejpam-3012	166	32	1	1	NUM
ejpam-3012	166	33	r	r	NOUN
ejpam-3012	166	34	∂	∂	NUM
ejpam-3012	166	35	(	(	PUNCT
ejpam-3012	166	36	e0r	e0r	PROPN
ejpam-3012	166	37	)	)	PUNCT
ejpam-3012	167	1	∂r	∂r	PROPN
ejpam-3012	167	2	=	=	PUNCT
ejpam-3012	167	3	−∂h	−∂h	PROPN
ejpam-3012	167	4	0	0	X
ejpam-3012	168	1	∂t	∂t	PROPN
ejpam-3012	168	2	,	,	PUNCT
ejpam-3012	168	3	(	(	PUNCT
ejpam-3012	168	4	44	44	NUM
ejpam-3012	168	5	)	)	PUNCT
ejpam-3012	168	6	σrr	σrr	NOUN
ejpam-3012	168	7	=	=	SYM
ejpam-3012	168	8	β2e−	β2e−	PROPN
ejpam-3012	168	9	2	2	NUM
ejpam-3012	168	10	u	u	NOUN
ejpam-3012	168	11	r	r	NOUN
ejpam-3012	168	12	−	−	NOUN
ejpam-3012	168	13	b1ψ	b1ψ	NOUN
ejpam-3012	168	14	,	,	PUNCT
ejpam-3012	168	15	σϕϕ	σϕϕ	NOUN
ejpam-3012	168	16	=	=	SYM
ejpam-3012	168	17	β2e−	β2e−	SYM
ejpam-3012	168	18	2	2	NUM
ejpam-3012	168	19	∂u	∂u	NOUN
ejpam-3012	169	1	∂r	∂r	NUM
ejpam-3012	170	1	−	−	NOUN
ejpam-3012	170	2	b1ψ	b1ψ	ADV
ejpam-3012	170	3	,	,	PUNCT
ejpam-3012	170	4	σzz	σzz	PROPN
ejpam-3012	170	5	=	=	SYM
ejpam-3012	170	6	(	(	PUNCT
ejpam-3012	170	7	β2	β2	VERB
ejpam-3012	170	8	−	−	PROPN
ejpam-3012	170	9	2	2	NUM
ejpam-3012	170	10	)	)	PUNCT
ejpam-3012	170	11	e−	e−	PROPN
ejpam-3012	170	12	b1ψ	b1ψ	NOUN
ejpam-3012	170	13	,	,	PUNCT
ejpam-3012	170	14	(	(	PUNCT
ejpam-3012	170	15	45	45	NUM
ejpam-3012	170	16	)	)	PUNCT
ejpam-3012	170	17	mrr	mrr	NOUN
ejpam-3012	170	18	=	=	PUNCT
ejpam-3012	170	19	−b2h	−b2h	ADV
ejpam-3012	170	20	.	.	PUNCT
ejpam-3012	171	1	(	(	PUNCT
ejpam-3012	171	2	46	46	NUM
ejpam-3012	171	3	)	)	PUNCT
ejpam-3012	171	4	where	where	SCONJ
ejpam-3012	171	5	v1	v1	NOUN
ejpam-3012	171	6	=	=	SYM
ejpam-3012	171	7	σ0µ0	σ0µ0	PROPN
ejpam-3012	171	8	η	η	PROPN
ejpam-3012	171	9	,	,	PUNCT
ejpam-3012	171	10	v	v	NOUN
ejpam-3012	171	11	2	2	NUM
ejpam-3012	171	12	=	=	SYM
ejpam-3012	171	13	c21	c21	NOUN
ejpam-3012	171	14	c2	c2	PROPN
ejpam-3012	171	15	,	,	PUNCT
ejpam-3012	171	16	c2	c2	PROPN
ejpam-3012	171	17	=	=	SYM
ejpam-3012	171	18	1	1	NUM
ejpam-3012	171	19	µ0ε0	µ0ε0	X
ejpam-3012	171	20	,	,	PUNCT
ejpam-3012	171	21	s	s	NOUN
ejpam-3012	171	22	=	=	PROPN
ejpam-3012	171	23	k0ηgt0	k0ηgt0	PROPN
ejpam-3012	171	24	σ0µ0h0	σ0µ0h0	PROPN
ejpam-3012	171	25	,	,	PUNCT
ejpam-3012	171	26	g2	g2	PROPN
ejpam-3012	171	27	=	=	PUNCT
ejpam-3012	172	1	µ0h	µ0h	PROPN
ejpam-3012	172	2	2	2	NUM
ejpam-3012	172	3	0	0	X
ejpam-3012	172	4	ρc21	ρc21	PROPN
ejpam-3012	172	5	,	,	PUNCT
ejpam-3012	172	6	ε0	ε0	NOUN
ejpam-3012	172	7	=	=	PUNCT
ejpam-3012	172	8	γgt0	γgt0	NOUN
ejpam-3012	172	9	ρc21	ρc21	PROPN
ejpam-3012	172	10	,	,	PUNCT
ejpam-3012	172	11	β2	β2	PROPN
ejpam-3012	172	12	=	=	SYM
ejpam-3012	172	13	λ+	λ+	PUNCT
ejpam-3012	172	14	2µ	2µ	NUM
ejpam-3012	172	15	µ	µ	NUM
ejpam-3012	172	16	,	,	PUNCT
ejpam-3012	172	17	b1	b1	NOUN
ejpam-3012	172	18	=	=	SYM
ejpam-3012	172	19	γt0	γt0	PROPN
ejpam-3012	172	20	µ	µ	X
ejpam-3012	172	21	,	,	PUNCT
ejpam-3012	172	22	b2	b2	NOUN
ejpam-3012	172	23	=	=	SYM
ejpam-3012	172	24	β2v1g2	β2v1g2	NOUN
ejpam-3012	172	25	.	.	PUNCT
ejpam-3012	173	1	(	(	PUNCT
ejpam-3012	173	2	47	47	NUM
ejpam-3012	173	3	)	)	PUNCT
ejpam-3012	173	4	a.	a.	NOUN
ejpam-3012	173	5	m.	m.	NOUN
ejpam-3012	173	6	zenkour	zenkour	PROPN
ejpam-3012	173	7	et	et	PROPN
ejpam-3012	173	8	al	al	PROPN
ejpam-3012	173	9	.	.	PUNCT
ejpam-3012	173	10	/	/	SYM
ejpam-3012	173	11	eur	eur	PROPN
ejpam-3012	173	12	.	.	PUNCT
ejpam-3012	174	1	j.	j.	PROPN
ejpam-3012	174	2	pure	pure	PROPN
ejpam-3012	174	3	appl	appl	PROPN
ejpam-3012	174	4	.	.	PROPN
ejpam-3012	174	5	math	math	PROPN
ejpam-3012	174	6	,	,	PUNCT
ejpam-3012	174	7	10	10	NUM
ejpam-3012	174	8	(	(	PUNCT
ejpam-3012	174	9	4	4	NUM
ejpam-3012	174	10	)	)	PUNCT
ejpam-3012	174	11	(	(	PUNCT
ejpam-3012	174	12	2017	2017	NUM
ejpam-3012	174	13	)	)	PUNCT
ejpam-3012	174	14	,	,	PUNCT
ejpam-3012	174	15	786	786	NUM
ejpam-3012	174	16	-	-	SYM
ejpam-3012	174	17	808	808	NUM
ejpam-3012	174	18	794	794	NUM
ejpam-3012	174	19	5	5	NUM
ejpam-3012	174	20	.	.	PUNCT
ejpam-3012	175	1	laplace	laplace	NOUN
ejpam-3012	175	2	transforms	transform	VERB
ejpam-3012	175	3	domain	domain	NOUN
ejpam-3012	175	4	solutions	solution	NOUN
ejpam-3012	175	5	the	the	DET
ejpam-3012	175	6	problem	problem	NOUN
ejpam-3012	175	7	may	may	AUX
ejpam-3012	175	8	be	be	AUX
ejpam-3012	175	9	solved	solve	VERB
ejpam-3012	175	10	after	after	ADP
ejpam-3012	175	11	applying	apply	VERB
ejpam-3012	175	12	its	its	PRON
ejpam-3012	175	13	initial	initial	ADJ
ejpam-3012	175	14	and	and	CCONJ
ejpam-3012	175	15	boundary	boundary	ADJ
ejpam-3012	175	16	conditions	condition	NOUN
ejpam-3012	175	17	.	.	PUNCT
ejpam-3012	176	1	here	here	ADV
ejpam-3012	176	2	,	,	PUNCT
ejpam-3012	176	3	the	the	DET
ejpam-3012	176	4	initial	initial	ADJ
ejpam-3012	176	5	conditions	condition	NOUN
ejpam-3012	176	6	are	be	AUX
ejpam-3012	176	7	assumed	assume	VERB
ejpam-3012	176	8	to	to	PART
ejpam-3012	176	9	be	be	AUX
ejpam-3012	176	10	homogeneous	homogeneous	ADJ
ejpam-3012	176	11	as	as	ADP
ejpam-3012	176	12	u(r	u(r	NOUN
ejpam-3012	176	13	,	,	PUNCT
ejpam-3012	176	14	0	0	NUM
ejpam-3012	176	15	)	)	PUNCT
ejpam-3012	176	16	=	=	SYM
ejpam-3012	176	17	∂u(r	∂u(r	PROPN
ejpam-3012	176	18	,	,	PUNCT
ejpam-3012	176	19	t	t	PROPN
ejpam-3012	176	20	)	)	PUNCT
ejpam-3012	177	1	∂t	∂t	PROPN
ejpam-3012	177	2	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3012	177	3	t=0	t=0	VERB
ejpam-3012	177	4	=	=	NOUN
ejpam-3012	177	5	0	0	NUM
ejpam-3012	177	6	,	,	PUNCT
ejpam-3012	177	7	ψ(r	ψ(r	NOUN
ejpam-3012	177	8	,	,	PUNCT
ejpam-3012	177	9	0	0	NUM
ejpam-3012	177	10	)	)	PUNCT
ejpam-3012	177	11	=	=	SYM
ejpam-3012	177	12	∂ψ(r	∂ψ(r	PROPN
ejpam-3012	177	13	,	,	PUNCT
ejpam-3012	177	14	t	t	PROPN
ejpam-3012	177	15	)	)	PUNCT
ejpam-3012	178	1	∂t	∂t	PROPN
ejpam-3012	178	2	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3012	178	3	t=0	t=0	VERB
ejpam-3012	178	4	=	=	NOUN
ejpam-3012	178	5	0	0	NUM
ejpam-3012	178	6	,	,	PUNCT
ejpam-3012	178	7	e(r	e(r	X
ejpam-3012	178	8	,	,	PUNCT
ejpam-3012	178	9	0	0	NUM
ejpam-3012	178	10	)	)	PUNCT
ejpam-3012	178	11	=	=	SYM
ejpam-3012	178	12	∂e(r	∂e(r	PROPN
ejpam-3012	178	13	,	,	PUNCT
ejpam-3012	178	14	t	t	PROPN
ejpam-3012	178	15	)	)	PUNCT
ejpam-3012	178	16	∂t	∂t	PROPN
ejpam-3012	178	17	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3012	178	18	t=0	t=0	VERB
ejpam-3012	178	19	=	=	SYM
ejpam-3012	178	20	0	0	NUM
ejpam-3012	178	21	,	,	PUNCT
ejpam-3012	178	22	h(r	h(r	NOUN
ejpam-3012	178	23	,	,	PUNCT
ejpam-3012	178	24	0	0	NUM
ejpam-3012	178	25	)	)	PUNCT
ejpam-3012	178	26	=	=	SYM
ejpam-3012	178	27	∂h(r	∂h(r	PROPN
ejpam-3012	178	28	,	,	PUNCT
ejpam-3012	178	29	t	t	PROPN
ejpam-3012	178	30	)	)	PUNCT
ejpam-3012	179	1	∂t	∂t	PROPN
ejpam-3012	179	2	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3012	179	3	t=0	t=0	VERB
ejpam-3012	179	4	=	=	NOUN
ejpam-3012	179	5	0	0	X
ejpam-3012	179	6	.	.	PUNCT
ejpam-3012	179	7	(	(	PUNCT
ejpam-3012	179	8	48	48	NUM
ejpam-3012	179	9	)	)	PUNCT
ejpam-3012	179	10	the	the	DET
ejpam-3012	179	11	above	above	ADJ
ejpam-3012	179	12	conditions	condition	NOUN
ejpam-3012	179	13	are	be	AUX
ejpam-3012	179	14	supplemented	supplement	VERB
ejpam-3012	179	15	by	by	ADP
ejpam-3012	179	16	adding	add	VERB
ejpam-3012	179	17	boundary	boundary	ADJ
ejpam-3012	179	18	conditions	condition	NOUN
ejpam-3012	179	19	.	.	PUNCT
ejpam-3012	180	1	firstly	firstly	ADV
ejpam-3012	180	2	,	,	PUNCT
ejpam-3012	180	3	it	it	PRON
ejpam-3012	180	4	is	be	AUX
ejpam-3012	180	5	assumed	assume	VERB
ejpam-3012	180	6	that	that	SCONJ
ejpam-3012	180	7	the	the	DET
ejpam-3012	180	8	transverse	transverse	NOUN
ejpam-3012	180	9	components	component	NOUN
ejpam-3012	180	10	of	of	ADP
ejpam-3012	180	11	e	e	NOUN
ejpam-3012	180	12	are	be	AUX
ejpam-3012	180	13	continuous	continuous	ADJ
ejpam-3012	180	14	across	across	ADP
ejpam-3012	180	15	the	the	DET
ejpam-3012	180	16	cylindrical	cylindrical	ADJ
ejpam-3012	180	17	surface	surface	NOUN
ejpam-3012	180	18	,	,	PUNCT
ejpam-3012	180	19	i.	i.	PROPN
ejpam-3012	180	20	e.	e.	PROPN
ejpam-3012	180	21	,	,	PUNCT
ejpam-3012	180	22	e(r	e(r	PROPN
ejpam-3012	180	23	,	,	PUNCT
ejpam-3012	180	24	t	t	PROPN
ejpam-3012	180	25	)	)	PUNCT
ejpam-3012	181	1	=	=	SYM
ejpam-3012	181	2	e0(r	e0(r	PROPN
ejpam-3012	181	3	,	,	PUNCT
ejpam-3012	181	4	t	t	PROPN
ejpam-3012	181	5	)	)	PUNCT
ejpam-3012	181	6	,	,	PUNCT
ejpam-3012	181	7	r	r	NOUN
ejpam-3012	181	8	=	=	SYM
ejpam-3012	181	9	a	a	PROPN
ejpam-3012	181	10	,	,	PUNCT
ejpam-3012	181	11	t	t	X
ejpam-3012	181	12	>	>	X
ejpam-3012	181	13	0	0	NUM
ejpam-3012	181	14	,	,	PUNCT
ejpam-3012	181	15	(	(	PUNCT
ejpam-3012	181	16	49	49	NUM
ejpam-3012	181	17	)	)	PUNCT
ejpam-3012	181	18	in	in	ADP
ejpam-3012	181	19	which	which	PRON
ejpam-3012	181	20	e0	e0	PROPN
ejpam-3012	181	21	denotes	denote	VERB
ejpam-3012	181	22	electric	electric	ADJ
ejpam-3012	181	23	field	field	PROPN
ejpam-3012	181	24	intensity	intensity	NOUN
ejpam-3012	181	25	component	component	NOUN
ejpam-3012	181	26	in	in	ADP
ejpam-3012	181	27	free	free	ADJ
ejpam-3012	181	28	surrounding	surround	VERB
ejpam-3012	181	29	cylinder	cylinder	NOUN
ejpam-3012	181	30	in	in	ADP
ejpam-3012	181	31	the	the	DET
ejpam-3012	181	32	direction	direction	NOUN
ejpam-3012	181	33	of	of	ADP
ejpam-3012	181	34	ϕ.	ϕ.	PROPN
ejpam-3012	181	35	also	also	ADV
ejpam-3012	181	36	,	,	PUNCT
ejpam-3012	181	37	the	the	DET
ejpam-3012	181	38	same	same	ADJ
ejpam-3012	181	39	components	component	NOUN
ejpam-3012	181	40	of	of	ADP
ejpam-3012	181	41	h	h	NOUN
ejpam-3012	181	42	are	be	AUX
ejpam-3012	181	43	also	also	ADV
ejpam-3012	181	44	continuous	continuous	ADJ
ejpam-3012	181	45	across	across	ADP
ejpam-3012	181	46	the	the	DET
ejpam-3012	181	47	cylindrical	cylindrical	ADJ
ejpam-3012	181	48	surface	surface	NOUN
ejpam-3012	181	49	,	,	PUNCT
ejpam-3012	181	50	i.e.	i.e.	X
ejpam-3012	181	51	,	,	PUNCT
ejpam-3012	181	52	h(r	h(r	NOUN
ejpam-3012	181	53	,	,	PUNCT
ejpam-3012	181	54	t	t	PROPN
ejpam-3012	181	55	)	)	PUNCT
ejpam-3012	181	56	=	=	SYM
ejpam-3012	181	57	h0(r	h0(r	PROPN
ejpam-3012	181	58	,	,	PUNCT
ejpam-3012	181	59	t	t	PROPN
ejpam-3012	181	60	)	)	PUNCT
ejpam-3012	181	61	,	,	PUNCT
ejpam-3012	181	62	r	r	NOUN
ejpam-3012	181	63	=	=	SYM
ejpam-3012	181	64	a	a	PROPN
ejpam-3012	181	65	,	,	PUNCT
ejpam-3012	181	66	t	t	X
ejpam-3012	181	67	>	>	X
ejpam-3012	181	68	0	0	NUM
ejpam-3012	181	69	,	,	PUNCT
ejpam-3012	181	70	(	(	PUNCT
ejpam-3012	181	71	50	50	NUM
ejpam-3012	181	72	)	)	PUNCT
ejpam-3012	181	73	in	in	ADP
ejpam-3012	181	74	which	which	PRON
ejpam-3012	181	75	h0	h0	NOUN
ejpam-3012	181	76	denotes	denote	NOUN
ejpam-3012	181	77	induced	induce	VERB
ejpam-3012	181	78	magnetic	magnetic	ADJ
ejpam-3012	181	79	field	field	NOUN
ejpam-3012	181	80	intensity	intensity	NOUN
ejpam-3012	181	81	component	component	NOUN
ejpam-3012	181	82	in	in	ADP
ejpam-3012	181	83	free	free	ADJ
ejpam-3012	181	84	surrounding	surround	VERB
ejpam-3012	181	85	cylinder	cylinder	NOUN
ejpam-3012	181	86	in	in	ADP
ejpam-3012	181	87	z	z	NOUN
ejpam-3012	181	88	-	-	NOUN
ejpam-3012	181	89	direction	direction	NOUN
ejpam-3012	181	90	.	.	PUNCT
ejpam-3012	182	1	finally	finally	ADV
ejpam-3012	182	2	,	,	PUNCT
ejpam-3012	182	3	the	the	DET
ejpam-3012	182	4	cylindrical	cylindrical	ADJ
ejpam-3012	182	5	surface	surface	NOUN
ejpam-3012	182	6	is	be	AUX
ejpam-3012	182	7	considered	consider	VERB
ejpam-3012	182	8	traction	traction	NOUN
ejpam-3012	182	9	free	free	ADJ
ejpam-3012	182	10	,	,	PUNCT
ejpam-3012	182	11	σrr(a	σrr(a	PROPN
ejpam-3012	182	12	,	,	PUNCT
ejpam-3012	182	13	t	t	PROPN
ejpam-3012	182	14	)	)	PUNCT
ejpam-3012	182	15	=	=	SYM
ejpam-3012	182	16	0	0	NUM
ejpam-3012	182	17	,	,	PUNCT
ejpam-3012	182	18	(	(	PUNCT
ejpam-3012	182	19	51	51	NUM
ejpam-3012	182	20	)	)	PUNCT
ejpam-3012	182	21	and	and	CCONJ
ejpam-3012	182	22	lies	lie	VERB
ejpam-3012	182	23	under	under	ADP
ejpam-3012	182	24	a	a	DET
ejpam-3012	182	25	thermal	thermal	ADJ
ejpam-3012	182	26	shock	shock	NOUN
ejpam-3012	182	27	,	,	PUNCT
ejpam-3012	182	28	θ(a	θ(a	PROPN
ejpam-3012	182	29	,	,	PUNCT
ejpam-3012	182	30	t	t	PROPN
ejpam-3012	182	31	)	)	PUNCT
ejpam-3012	182	32	=	=	SYM
ejpam-3012	182	33	θ0h(t	θ0h(t	X
ejpam-3012	182	34	)	)	PUNCT
ejpam-3012	182	35	,	,	PUNCT
ejpam-3012	182	36	(	(	PUNCT
ejpam-3012	182	37	52	52	NUM
ejpam-3012	182	38	)	)	PUNCT
ejpam-3012	182	39	in	in	ADP
ejpam-3012	182	40	which	which	PRON
ejpam-3012	182	41	h(t	h(t	PROPN
ejpam-3012	182	42	)	)	PUNCT
ejpam-3012	182	43	denotes	denote	NOUN
ejpam-3012	182	44	unit	unit	NOUN
ejpam-3012	182	45	-	-	PUNCT
ejpam-3012	182	46	step	step	NOUN
ejpam-3012	182	47	function	function	NOUN
ejpam-3012	182	48	.	.	PUNCT
ejpam-3012	183	1	now	now	ADV
ejpam-3012	183	2	,	,	PUNCT
ejpam-3012	183	3	it	it	PRON
ejpam-3012	183	4	is	be	AUX
ejpam-3012	183	5	known	know	VERB
ejpam-3012	183	6	that	that	SCONJ
ejpam-3012	183	7	laplace	laplace	NOUN
ejpam-3012	183	8	transform	transform	NOUN
ejpam-3012	183	9	is	be	AUX
ejpam-3012	183	10	defined	define	VERB
ejpam-3012	183	11	by	by	ADP
ejpam-3012	183	12	f̄(r	f̄(r	ADJ
ejpam-3012	183	13	,	,	PUNCT
ejpam-3012	183	14	s	s	NOUN
ejpam-3012	183	15	)	)	PUNCT
ejpam-3012	183	16	=	=	SYM
ejpam-3012	184	1	∫	∫	PROPN
ejpam-3012	184	2	∞	∞	NUM
ejpam-3012	184	3	0	0	NUM
ejpam-3012	184	4	e−stf(r	e−stf(r	NUM
ejpam-3012	184	5	,	,	PUNCT
ejpam-3012	185	1	t)dt	t)dt	PROPN
ejpam-3012	185	2	,	,	PUNCT
ejpam-3012	185	3	(	(	PUNCT
ejpam-3012	185	4	53	53	NUM
ejpam-3012	185	5	)	)	PUNCT
ejpam-3012	185	6	and	and	CCONJ
ejpam-3012	185	7	it	it	PRON
ejpam-3012	185	8	will	will	AUX
ejpam-3012	185	9	be	be	AUX
ejpam-3012	185	10	applied	apply	VERB
ejpam-3012	185	11	into	into	ADP
ejpam-3012	185	12	eqs	eqs	PROPN
ejpam-3012	185	13	.	.	PUNCT
ejpam-3012	186	1	(	(	PUNCT
ejpam-3012	186	2	39)-(44	39)-(44	NUM
ejpam-3012	186	3	)	)	PUNCT
ejpam-3012	186	4	under	under	ADP
ejpam-3012	186	5	initial	initial	ADJ
ejpam-3012	186	6	conditions	condition	NOUN
ejpam-3012	186	7	given	give	VERB
ejpam-3012	186	8	in	in	ADP
ejpam-3012	186	9	eqs	eqs	PROPN
ejpam-3012	186	10	.	.	PUNCT
ejpam-3012	187	1	(	(	PUNCT
ejpam-3012	187	2	48	48	NUM
ejpam-3012	187	3	)	)	PUNCT
ejpam-3012	187	4	,	,	PUNCT
ejpam-3012	187	5	leads	lead	VERB
ejpam-3012	187	6	to	to	ADP
ejpam-3012	187	7	∂h̄	∂h̄	NOUN
ejpam-3012	187	8	∂r	∂r	PROPN
ejpam-3012	187	9	=	=	PUNCT
ejpam-3012	187	10	sū−	sū−	ADJ
ejpam-3012	187	11	(	(	PUNCT
ejpam-3012	187	12	v1	v1	NOUN
ejpam-3012	187	13	+	+	CCONJ
ejpam-3012	187	14	v	v	NOUN
ejpam-3012	187	15	2s	2s	NUM
ejpam-3012	187	16	)	)	PUNCT
ejpam-3012	187	17	ē	ē	ADV
ejpam-3012	188	1	+	+	CCONJ
ejpam-3012	188	2	s	s	NOUN
ejpam-3012	188	3	∂ψ̄	∂ψ̄	NOUN
ejpam-3012	188	4	∂r	∂r	VERB
ejpam-3012	188	5	,	,	PUNCT
ejpam-3012	188	6	(	(	PUNCT
ejpam-3012	188	7	54	54	NUM
ejpam-3012	188	8	)	)	PUNCT
ejpam-3012	188	9	(	(	PUNCT
ejpam-3012	188	10	∇2	∇2	PROPN
ejpam-3012	188	11	−	−	PROPN
ejpam-3012	188	12	v1s−	v1s−	NOUN
ejpam-3012	188	13	v	v	ADP
ejpam-3012	188	14	2s2	2s2	NUM
ejpam-3012	188	15	)	)	PUNCT
ejpam-3012	188	16	h̄	h̄	NOUN
ejpam-3012	189	1	=	=	PUNCT
ejpam-3012	189	2	sē+	sē+	PROPN
ejpam-3012	189	3	s∇2ψ̄	s∇2ψ̄	PROPN
ejpam-3012	189	4	,	,	PUNCT
ejpam-3012	189	5	(	(	PUNCT
ejpam-3012	189	6	55	55	NUM
ejpam-3012	189	7	)	)	PUNCT
ejpam-3012	189	8	∇2ē−	∇2ē−	PROPN
ejpam-3012	189	9	ε∇2ψ̄	ε∇2ψ̄	X
ejpam-3012	189	10	−	−	NOUN
ejpam-3012	189	11	v1g2∇2h̄+	v1g2∇2h̄+	X
ejpam-3012	189	12	sv1g2v	sv1g2v	PROPN
ejpam-3012	189	13	2h̄	2h̄	NUM
ejpam-3012	189	14	=	=	SYM
ejpam-3012	189	15	s2ē	s2ē	PROPN
ejpam-3012	189	16	,	,	PUNCT
ejpam-3012	189	17	(	(	PUNCT
ejpam-3012	189	18	56	56	NUM
ejpam-3012	189	19	)	)	PUNCT
ejpam-3012	189	20	a.	a.	NOUN
ejpam-3012	189	21	m.	m.	NOUN
ejpam-3012	189	22	zenkour	zenkour	PROPN
ejpam-3012	189	23	et	et	PROPN
ejpam-3012	189	24	al	al	PROPN
ejpam-3012	189	25	.	.	PUNCT
ejpam-3012	189	26	/	/	SYM
ejpam-3012	189	27	eur	eur	PROPN
ejpam-3012	189	28	.	.	PUNCT
ejpam-3012	190	1	j.	j.	PROPN
ejpam-3012	190	2	pure	pure	PROPN
ejpam-3012	190	3	appl	appl	PROPN
ejpam-3012	190	4	.	.	PROPN
ejpam-3012	190	5	math	math	PROPN
ejpam-3012	190	6	,	,	PUNCT
ejpam-3012	190	7	10	10	NUM
ejpam-3012	190	8	(	(	PUNCT
ejpam-3012	190	9	4	4	NUM
ejpam-3012	190	10	)	)	PUNCT
ejpam-3012	190	11	(	(	PUNCT
ejpam-3012	190	12	2017	2017	NUM
ejpam-3012	190	13	)	)	PUNCT
ejpam-3012	190	14	,	,	PUNCT
ejpam-3012	190	15	786	786	NUM
ejpam-3012	190	16	-	-	SYM
ejpam-3012	190	17	808	808	NUM
ejpam-3012	190	18	795	795	NUM
ejpam-3012	190	19	(	(	PUNCT
ejpam-3012	190	20	1	1	NUM
ejpam-3012	190	21	+	+	CCONJ
ejpam-3012	190	22	τθs)∇2ψ̄	τθs)∇2ψ̄	PUNCT
ejpam-3012	191	1	=	=	SYM
ejpam-3012	191	2	s	s	X
ejpam-3012	191	3	(	(	PUNCT
ejpam-3012	191	4	1	1	NUM
ejpam-3012	191	5	+	+	NUM
ejpam-3012	191	6	τqs	τqs	PROPN
ejpam-3012	191	7	)	)	PUNCT
ejpam-3012	191	8	(	(	PUNCT
ejpam-3012	191	9	ψ̄	ψ̄	X
ejpam-3012	191	10	+	+	CCONJ
ejpam-3012	191	11	ē	ē	NOUN
ejpam-3012	191	12	)	)	PUNCT
ejpam-3012	191	13	,	,	PUNCT
ejpam-3012	191	14	(	(	PUNCT
ejpam-3012	191	15	57	57	X
ejpam-3012	191	16	)	)	PUNCT
ejpam-3012	191	17	∇2h̄0	∇2h̄0	NOUN
ejpam-3012	191	18	−	−	NOUN
ejpam-3012	191	19	v	v	ADP
ejpam-3012	191	20	2s2h̄0	2s2h̄0	NUM
ejpam-3012	191	21	=	=	SYM
ejpam-3012	191	22	0	0	NUM
ejpam-3012	191	23	,	,	PUNCT
ejpam-3012	191	24	(	(	PUNCT
ejpam-3012	191	25	58	58	NUM
ejpam-3012	191	26	)	)	PUNCT
ejpam-3012	191	27	1	1	NUM
ejpam-3012	191	28	r	r	NOUN
ejpam-3012	191	29	∂(ē0r	∂(ē0r	NOUN
ejpam-3012	191	30	)	)	PUNCT
ejpam-3012	192	1	∂r	∂r	NOUN
ejpam-3012	192	2	=	=	PUNCT
ejpam-3012	192	3	−sh̄0	−sh̄0	PROPN
ejpam-3012	192	4	.	.	PUNCT
ejpam-3012	193	1	(	(	PUNCT
ejpam-3012	193	2	59	59	NUM
ejpam-3012	193	3	)	)	PUNCT
ejpam-3012	193	4	eliminating	eliminate	VERB
ejpam-3012	193	5	ē	ē	ADV
ejpam-3012	193	6	and	and	CCONJ
ejpam-3012	193	7	h̄	h̄	NOUN
ejpam-3012	193	8	from	from	ADP
ejpam-3012	193	9	eqs	eqs	PROPN
ejpam-3012	193	10	.	.	PUNCT
ejpam-3012	194	1	(	(	PUNCT
ejpam-3012	194	2	55	55	NUM
ejpam-3012	194	3	)	)	PUNCT
ejpam-3012	194	4	and	and	CCONJ
ejpam-3012	194	5	(	(	PUNCT
ejpam-3012	194	6	56	56	NUM
ejpam-3012	194	7	)	)	PUNCT
ejpam-3012	194	8	,	,	PUNCT
ejpam-3012	194	9	the	the	DET
ejpam-3012	194	10	following	follow	VERB
ejpam-3012	194	11	sixth	sixth	ADJ
ejpam-3012	194	12	order	order	NOUN
ejpam-3012	194	13	differential	differential	NOUN
ejpam-3012	194	14	equation	equation	NOUN
ejpam-3012	194	15	for	for	ADP
ejpam-3012	194	16	ψ̄	ψ̄	NUM
ejpam-3012	194	17	is	be	AUX
ejpam-3012	194	18	formed	form	VERB
ejpam-3012	194	19	as	as	SCONJ
ejpam-3012	194	20	follows	follow	VERB
ejpam-3012	194	21	(	(	PUNCT
ejpam-3012	194	22	∇6	∇6	ADJ
ejpam-3012	194	23	−a∇4	−a∇4	NOUN
ejpam-3012	194	24	+	+	NOUN
ejpam-3012	194	25	b∇2	b∇2	ADJ
ejpam-3012	194	26	−	−	PROPN
ejpam-3012	194	27	c	c	NOUN
ejpam-3012	194	28	)	)	PUNCT
ejpam-3012	194	29	ψ̄	ψ̄	PUNCT
ejpam-3012	195	1	=	=	SYM
ejpam-3012	195	2	0	0	NUM
ejpam-3012	195	3	,	,	PUNCT
ejpam-3012	195	4	(	(	PUNCT
ejpam-3012	195	5	60	60	NUM
ejpam-3012	195	6	)	)	PUNCT
ejpam-3012	195	7	in	in	ADP
ejpam-3012	195	8	which	which	PRON
ejpam-3012	195	9	a	a	DET
ejpam-3012	195	10	,	,	PUNCT
ejpam-3012	195	11	b	b	NOUN
ejpam-3012	195	12	and	and	CCONJ
ejpam-3012	195	13	c	c	PROPN
ejpam-3012	195	14	are	be	AUX
ejpam-3012	195	15	some	some	DET
ejpam-3012	195	16	coefficients	coefficient	NOUN
ejpam-3012	195	17	given	give	VERB
ejpam-3012	195	18	as	as	ADP
ejpam-3012	195	19	a	a	DET
ejpam-3012	195	20	=	=	SYM
ejpam-3012	195	21	q2	q2	NOUN
ejpam-3012	195	22	+	+	CCONJ
ejpam-3012	195	23	s2	s2	PROPN
ejpam-3012	195	24	+	+	CCONJ
ejpam-3012	195	25	g2qv1	g2qv1	PROPN
ejpam-3012	195	26	(	(	PUNCT
ejpam-3012	195	27	k1	k1	X
ejpam-3012	195	28	+	+	CCONJ
ejpam-3012	195	29	s	s	NOUN
ejpam-3012	195	30	q	q	X
ejpam-3012	195	31	)	)	PUNCT
ejpam-3012	196	1	+	+	SYM
ejpam-3012	196	2	s	s	X
ejpam-3012	196	3	(	(	PUNCT
ejpam-3012	196	4	sv	sv	PROPN
ejpam-3012	196	5	2	2	NUM
ejpam-3012	196	6	+	+	NUM
ejpam-3012	196	7	v1	v1	NOUN
ejpam-3012	196	8	)	)	PUNCT
ejpam-3012	197	1	+	+	CCONJ
ejpam-3012	198	1	qε	qε	X
ejpam-3012	198	2	,	,	PUNCT
ejpam-3012	198	3	b	b	X
ejpam-3012	198	4	=	=	SYM
ejpam-3012	198	5	qs2	qs2	PROPN
ejpam-3012	198	6	+	+	X
ejpam-3012	198	7	s2	s2	PROPN
ejpam-3012	198	8	(	(	PUNCT
ejpam-3012	198	9	s	s	PROPN
ejpam-3012	198	10	+	+	NUM
ejpam-3012	198	11	s	s	X
ejpam-3012	198	12	q	q	X
ejpam-3012	198	13	)	)	PUNCT
ejpam-3012	198	14	v	v	ADP
ejpam-3012	198	15	2	2	NUM
ejpam-3012	198	16	+	+	CCONJ
ejpam-3012	198	17	g2qsv1	g2qsv1	PROPN
ejpam-3012	198	18	+	+	CCONJ
ejpam-3012	198	19	s	s	X
ejpam-3012	198	20	(	(	PUNCT
ejpam-3012	198	21	sv	sv	PROPN
ejpam-3012	198	22	2	2	NUM
ejpam-3012	198	23	+	+	NUM
ejpam-3012	198	24	v1	v1	NOUN
ejpam-3012	198	25	)	)	PUNCT
ejpam-3012	198	26	(	(	PUNCT
ejpam-3012	198	27	q2	q2	NOUN
ejpam-3012	198	28	+	+	CCONJ
ejpam-3012	198	29	s2	s2	PROPN
ejpam-3012	198	30	+	+	X
ejpam-3012	198	31	qε	qε	CCONJ
ejpam-3012	198	32	)	)	PUNCT
ejpam-3012	198	33	,	,	PUNCT
ejpam-3012	198	34	c	c	X
ejpam-3012	198	35	=	=	SYM
ejpam-3012	198	36	g2qs	g2qs	PUNCT
ejpam-3012	198	37	3v	3v	NUM
ejpam-3012	198	38	2v1	2v1	NUM
ejpam-3012	199	1	+	+	CCONJ
ejpam-3012	199	2	qs3	qs3	NOUN
ejpam-3012	199	3	(	(	PUNCT
ejpam-3012	199	4	sv	sv	PROPN
ejpam-3012	199	5	2	2	NUM
ejpam-3012	199	6	+	+	NUM
ejpam-3012	199	7	v1	v1	NOUN
ejpam-3012	199	8	)	)	PUNCT
ejpam-3012	199	9	,	,	PUNCT
ejpam-3012	199	10	q	q	NOUN
ejpam-3012	199	11	=	=	PUNCT
ejpam-3012	199	12	s+	s+	NUM
ejpam-3012	199	13	τqs	τqs	PROPN
ejpam-3012	199	14	2	2	NUM
ejpam-3012	199	15	1	1	NUM
ejpam-3012	199	16	+	+	CCONJ
ejpam-3012	199	17	τθs	τθs	ADJ
ejpam-3012	199	18	.	.	PUNCT
ejpam-3012	200	1	(	(	PUNCT
ejpam-3012	200	2	61	61	NUM
ejpam-3012	200	3	)	)	PUNCT
ejpam-3012	200	4	in	in	ADP
ejpam-3012	200	5	a	a	DET
ejpam-3012	200	6	similar	similar	ADJ
ejpam-3012	200	7	manner	manner	NOUN
ejpam-3012	200	8	,	,	PUNCT
ejpam-3012	200	9	we	we	PRON
ejpam-3012	200	10	can	can	AUX
ejpam-3012	200	11	show	show	VERB
ejpam-3012	200	12	that	that	SCONJ
ejpam-3012	200	13	ē	ē	ADV
ejpam-3012	200	14	and	and	CCONJ
ejpam-3012	200	15	h̄	h̄	NOUN
ejpam-3012	200	16	satisfy	satisfy	VERB
ejpam-3012	200	17	the	the	DET
ejpam-3012	200	18	equation	equation	NOUN
ejpam-3012	200	19	(	(	PUNCT
ejpam-3012	200	20	∇6	∇6	ADJ
ejpam-3012	200	21	−a∇4	−a∇4	NOUN
ejpam-3012	200	22	+	+	NOUN
ejpam-3012	200	23	b∇2	b∇2	ADJ
ejpam-3012	200	24	−	−	PROPN
ejpam-3012	200	25	c	c	NOUN
ejpam-3012	200	26	)	)	PUNCT
ejpam-3012	200	27	{	{	PUNCT
ejpam-3012	200	28	ē	ē	NOUN
ejpam-3012	200	29	,	,	PUNCT
ejpam-3012	200	30	h̄	h̄	NOUN
ejpam-3012	200	31	}	}	PUNCT
ejpam-3012	200	32	=	=	SYM
ejpam-3012	200	33	0	0	NUM
ejpam-3012	200	34	,	,	PUNCT
ejpam-3012	200	35	(	(	PUNCT
ejpam-3012	200	36	62	62	X
ejpam-3012	200	37	)	)	PUNCT
ejpam-3012	200	38	introducing	introduce	VERB
ejpam-3012	200	39	mi	mi	PROPN
ejpam-3012	200	40	(	(	PUNCT
ejpam-3012	200	41	i	i	NOUN
ejpam-3012	200	42	=	=	NOUN
ejpam-3012	200	43	1	1	NUM
ejpam-3012	200	44	,	,	PUNCT
ejpam-3012	200	45	2	2	NUM
ejpam-3012	200	46	,	,	PUNCT
ejpam-3012	200	47	3	3	NUM
ejpam-3012	200	48	)	)	PUNCT
ejpam-3012	200	49	into	into	ADP
ejpam-3012	200	50	eq	eq	NOUN
ejpam-3012	200	51	.	.	PUNCT
ejpam-3012	201	1	(	(	PUNCT
ejpam-3012	201	2	60	60	NUM
ejpam-3012	201	3	)	)	PUNCT
ejpam-3012	201	4	,	,	PUNCT
ejpam-3012	201	5	we	we	PRON
ejpam-3012	201	6	find	find	VERB
ejpam-3012	201	7	(	(	PUNCT
ejpam-3012	201	8	∇2	∇2	X
ejpam-3012	201	9	−m2	−m2	NOUN
ejpam-3012	201	10	1	1	NUM
ejpam-3012	201	11	)	)	PUNCT
ejpam-3012	201	12	(	(	PUNCT
ejpam-3012	201	13	∇2	∇2	X
ejpam-3012	201	14	−m2	−m2	PROPN
ejpam-3012	201	15	2	2	NUM
ejpam-3012	201	16	)	)	PUNCT
ejpam-3012	201	17	(	(	PUNCT
ejpam-3012	201	18	∇2	∇2	PROPN
ejpam-3012	201	19	−m2	−m2	NOUN
ejpam-3012	201	20	3	3	NUM
ejpam-3012	201	21	)	)	PUNCT
ejpam-3012	201	22	ψ̄	ψ̄	PUNCT
ejpam-3012	202	1	=	=	SYM
ejpam-3012	202	2	0	0	NUM
ejpam-3012	202	3	,	,	PUNCT
ejpam-3012	202	4	(	(	PUNCT
ejpam-3012	202	5	63	63	NUM
ejpam-3012	202	6	)	)	PUNCT
ejpam-3012	202	7	where	where	SCONJ
ejpam-3012	202	8	m2	m2	PROPN
ejpam-3012	202	9	i	i	PRON
ejpam-3012	202	10	are	be	AUX
ejpam-3012	202	11	the	the	DET
ejpam-3012	202	12	roots	root	NOUN
ejpam-3012	202	13	of	of	ADP
ejpam-3012	202	14	the	the	DET
ejpam-3012	202	15	characteristic	characteristic	ADJ
ejpam-3012	202	16	equation	equation	NOUN
ejpam-3012	203	1	m6	m6	PROPN
ejpam-3012	203	2	−am4	−am4	PROPN
ejpam-3012	203	3	+	+	PROPN
ejpam-3012	203	4	bm2	bm2	NOUN
ejpam-3012	203	5	−	−	NOUN
ejpam-3012	203	6	c	c	NOUN
ejpam-3012	203	7	=	=	SYM
ejpam-3012	203	8	0	0	PROPN
ejpam-3012	203	9	.	.	PUNCT
ejpam-3012	204	1	(	(	PUNCT
ejpam-3012	204	2	64	64	NUM
ejpam-3012	204	3	)	)	PUNCT
ejpam-3012	204	4	these	these	DET
ejpam-3012	204	5	roots	root	NOUN
ejpam-3012	204	6	are	be	AUX
ejpam-3012	204	7	given	give	VERB
ejpam-3012	204	8	by	by	ADP
ejpam-3012	204	9	[	[	PUNCT
ejpam-3012	204	10	10	10	NUM
ejpam-3012	204	11	]	]	X
ejpam-3012	204	12	m2	m2	PROPN
ejpam-3012	204	13	1	1	NUM
ejpam-3012	204	14	=	=	SYM
ejpam-3012	204	15	1	1	NUM
ejpam-3012	204	16	3	3	NUM
ejpam-3012	205	1	[	[	X
ejpam-3012	205	2	2p	2p	NUM
ejpam-3012	205	3	sin(q	sin(q	NOUN
ejpam-3012	205	4	)	)	PUNCT
ejpam-3012	206	1	+	+	NOUN
ejpam-3012	206	2	a	a	X
ejpam-3012	206	3	]	]	X
ejpam-3012	206	4	,	,	PUNCT
ejpam-3012	206	5	m2	m2	PROPN
ejpam-3012	206	6	2	2	NUM
ejpam-3012	206	7	=	=	SYM
ejpam-3012	206	8	−p	−p	NOUN
ejpam-3012	206	9	3	3	NUM
ejpam-3012	207	1	[	[	NOUN
ejpam-3012	207	2	√	√	ADJ
ejpam-3012	207	3	3	3	NUM
ejpam-3012	207	4	cos(q	cos(q	PROPN
ejpam-3012	207	5	)	)	PUNCT
ejpam-3012	208	1	+	+	CCONJ
ejpam-3012	209	1	sin(q	sin(q	NOUN
ejpam-3012	209	2	)	)	PUNCT
ejpam-3012	209	3	]	]	PUNCT
ejpam-3012	210	1	+	+	CCONJ
ejpam-3012	210	2	a	a	DET
ejpam-3012	210	3	3	3	NUM
ejpam-3012	210	4	,	,	PUNCT
ejpam-3012	210	5	m2	m2	PROPN
ejpam-3012	210	6	3	3	NUM
ejpam-3012	210	7	=	=	SYM
ejpam-3012	210	8	−p	−p	NOUN
ejpam-3012	210	9	3	3	NUM
ejpam-3012	211	1	[	[	NOUN
ejpam-3012	211	2	√	√	ADJ
ejpam-3012	211	3	3	3	NUM
ejpam-3012	211	4	cos(q)−	cos(q)−	NUM
ejpam-3012	211	5	sin(q	sin(q	NOUN
ejpam-3012	211	6	)	)	PUNCT
ejpam-3012	211	7	]	]	PUNCT
ejpam-3012	212	1	+	+	CCONJ
ejpam-3012	212	2	a	a	DET
ejpam-3012	212	3	3	3	NUM
ejpam-3012	212	4	,	,	PUNCT
ejpam-3012	212	5	(	(	PUNCT
ejpam-3012	212	6	65	65	NUM
ejpam-3012	212	7	)	)	PUNCT
ejpam-3012	212	8	in	in	ADP
ejpam-3012	212	9	which	which	PRON
ejpam-3012	212	10	q	q	NOUN
ejpam-3012	212	11	=	=	SYM
ejpam-3012	212	12	1	1	NUM
ejpam-3012	212	13	3	3	NUM
ejpam-3012	212	14	sin−1(r	sin−1(r	NOUN
ejpam-3012	212	15	)	)	PUNCT
ejpam-3012	212	16	,	,	PUNCT
ejpam-3012	212	17	p	p	NOUN
ejpam-3012	212	18	=	=	NOUN
ejpam-3012	212	19	√	√	PROPN
ejpam-3012	212	20	a2	a2	PROPN
ejpam-3012	212	21	−	−	PROPN
ejpam-3012	212	22	3b	3b	NOUN
ejpam-3012	212	23	,	,	PUNCT
ejpam-3012	212	24	r	r	NOUN
ejpam-3012	212	25	=	=	SYM
ejpam-3012	212	26	−2a3	−2a3	NUM
ejpam-3012	212	27	−	−	NUM
ejpam-3012	212	28	9ab	9ab	NOUN
ejpam-3012	212	29	+	+	CCONJ
ejpam-3012	212	30	27c	27c	NOUN
ejpam-3012	212	31	2p3	2p3	NUM
ejpam-3012	212	32	.	.	PUNCT
ejpam-3012	213	1	(	(	PUNCT
ejpam-3012	213	2	66	66	NUM
ejpam-3012	213	3	)	)	PUNCT
ejpam-3012	213	4	a.	a.	NOUN
ejpam-3012	213	5	m.	m.	NOUN
ejpam-3012	213	6	zenkour	zenkour	PROPN
ejpam-3012	213	7	et	et	PROPN
ejpam-3012	213	8	al	al	PROPN
ejpam-3012	213	9	.	.	PUNCT
ejpam-3012	213	10	/	/	SYM
ejpam-3012	213	11	eur	eur	PROPN
ejpam-3012	213	12	.	.	PUNCT
ejpam-3012	214	1	j.	j.	PROPN
ejpam-3012	214	2	pure	pure	PROPN
ejpam-3012	214	3	appl	appl	PROPN
ejpam-3012	214	4	.	.	PROPN
ejpam-3012	214	5	math	math	PROPN
ejpam-3012	214	6	,	,	PUNCT
ejpam-3012	214	7	10	10	NUM
ejpam-3012	214	8	(	(	PUNCT
ejpam-3012	214	9	4	4	NUM
ejpam-3012	214	10	)	)	PUNCT
ejpam-3012	214	11	(	(	PUNCT
ejpam-3012	214	12	2017	2017	NUM
ejpam-3012	214	13	)	)	PUNCT
ejpam-3012	214	14	,	,	PUNCT
ejpam-3012	214	15	786	786	NUM
ejpam-3012	214	16	-	-	SYM
ejpam-3012	214	17	808	808	NUM
ejpam-3012	214	18	796	796	NUM
ejpam-3012	214	19	the	the	DET
ejpam-3012	214	20	solution	solution	NOUN
ejpam-3012	214	21	of	of	ADP
ejpam-3012	214	22	ψ̄	ψ̄	NOUN
ejpam-3012	214	23	will	will	AUX
ejpam-3012	214	24	be	be	AUX
ejpam-3012	214	25	ψ̄	ψ̄	NOUN
ejpam-3012	214	26	=	=	SYM
ejpam-3012	214	27	3∑	3∑	NUM
ejpam-3012	214	28	i=1	i=1	X
ejpam-3012	214	29	(	(	PUNCT
ejpam-3012	214	30	aii0(mir	aii0(mir	NOUN
ejpam-3012	214	31	)	)	PUNCT
ejpam-3012	214	32	+	+	NOUN
ejpam-3012	214	33	bik0(mir	bik0(mir	NOUN
ejpam-3012	214	34	)	)	PUNCT
ejpam-3012	214	35	)	)	PUNCT
ejpam-3012	214	36	,	,	PUNCT
ejpam-3012	214	37	(	(	PUNCT
ejpam-3012	214	38	67	67	NUM
ejpam-3012	214	39	)	)	PUNCT
ejpam-3012	214	40	where	where	SCONJ
ejpam-3012	214	41	ai	ai	VERB
ejpam-3012	214	42	and	and	CCONJ
ejpam-3012	214	43	bi	bi	PROPN
ejpam-3012	214	44	(	(	PUNCT
ejpam-3012	214	45	i	i	NOUN
ejpam-3012	214	46	=	=	NOUN
ejpam-3012	214	47	1	1	NUM
ejpam-3012	214	48	,	,	PUNCT
ejpam-3012	214	49	2	2	NUM
ejpam-3012	214	50	,	,	PUNCT
ejpam-3012	214	51	3	3	NUM
ejpam-3012	214	52	)	)	PUNCT
ejpam-3012	214	53	represent	represent	VERB
ejpam-3012	214	54	parameters	parameter	NOUN
ejpam-3012	214	55	depending	depend	VERB
ejpam-3012	214	56	on	on	ADP
ejpam-3012	214	57	s	s	PRON
ejpam-3012	214	58	and	and	CCONJ
ejpam-3012	214	59	i0	i0	PROPN
ejpam-3012	214	60	(	(	PUNCT
ejpam-3012	214	61	·	·	PUNCT
ejpam-3012	214	62	)	)	PUNCT
ejpam-3012	214	63	,	,	PUNCT
ejpam-3012	214	64	k0	k0	PROPN
ejpam-3012	214	65	(	(	PUNCT
ejpam-3012	214	66	·	·	PUNCT
ejpam-3012	214	67	)	)	PUNCT
ejpam-3012	214	68	represent	represent	VERB
ejpam-3012	214	69	modified	modify	VERB
ejpam-3012	214	70	bessels	bessel	NOUN
ejpam-3012	214	71	function	function	NOUN
ejpam-3012	214	72	of	of	ADP
ejpam-3012	214	73	first	first	ADJ
ejpam-3012	214	74	and	and	CCONJ
ejpam-3012	214	75	second	second	ADJ
ejpam-3012	214	76	kinds	kind	NOUN
ejpam-3012	214	77	of	of	ADP
ejpam-3012	214	78	order	order	NOUN
ejpam-3012	214	79	zero	zero	NUM
ejpam-3012	214	80	,	,	PUNCT
ejpam-3012	214	81	respectively	respectively	ADV
ejpam-3012	214	82	.	.	PUNCT
ejpam-3012	215	1	since	since	SCONJ
ejpam-3012	215	2	the	the	DET
ejpam-3012	215	3	cylinder	cylinder	NOUN
ejpam-3012	215	4	is	be	AUX
ejpam-3012	215	5	solid	solid	ADJ
ejpam-3012	215	6	,	,	PUNCT
ejpam-3012	215	7	then	then	ADV
ejpam-3012	215	8	solution	solution	NOUN
ejpam-3012	215	9	should	should	AUX
ejpam-3012	215	10	be	be	AUX
ejpam-3012	215	11	continuous	continuous	ADJ
ejpam-3012	215	12	everywhere	everywhere	ADV
ejpam-3012	215	13	.	.	PUNCT
ejpam-3012	216	1	so	so	ADV
ejpam-3012	216	2	,	,	PUNCT
ejpam-3012	216	3	bi	bi	PROPN
ejpam-3012	216	4	should	should	AUX
ejpam-3012	216	5	be	be	AUX
ejpam-3012	216	6	vanished	vanish	VERB
ejpam-3012	216	7	and	and	CCONJ
ejpam-3012	216	8	the	the	DET
ejpam-3012	216	9	solution	solution	NOUN
ejpam-3012	216	10	for	for	ADP
ejpam-3012	216	11	dimensionless	dimensionless	NOUN
ejpam-3012	216	12	ψ̄	ψ̄	NOUN
ejpam-3012	216	13	in	in	ADP
ejpam-3012	216	14	laplace	laplace	NOUN
ejpam-3012	216	15	domain	domain	NOUN
ejpam-3012	216	16	is	be	AUX
ejpam-3012	216	17	ψ̄	ψ̄	NOUN
ejpam-3012	216	18	=	=	SYM
ejpam-3012	216	19	3∑	3∑	NUM
ejpam-3012	216	20	i=1	i=1	PROPN
ejpam-3012	216	21	ai(s)i0(mir	ai(s)i0(mir	PROPN
ejpam-3012	216	22	)	)	PUNCT
ejpam-3012	216	23	.	.	PUNCT
ejpam-3012	217	1	(	(	PUNCT
ejpam-3012	217	2	68	68	NUM
ejpam-3012	217	3	)	)	PUNCT
ejpam-3012	217	4	in	in	ADP
ejpam-3012	217	5	a	a	DET
ejpam-3012	217	6	similar	similar	ADJ
ejpam-3012	217	7	manner	manner	NOUN
ejpam-3012	217	8	{	{	PUNCT
ejpam-3012	217	9	ē	ē	NOUN
ejpam-3012	217	10	,	,	PUNCT
ejpam-3012	217	11	h̄	h̄	NOUN
ejpam-3012	217	12	}	}	PUNCT
ejpam-3012	217	13	=	=	SYM
ejpam-3012	217	14	3∑	3∑	NUM
ejpam-3012	217	15	i=1	i=1	PROPN
ejpam-3012	217	16	{	{	PUNCT
ejpam-3012	217	17	a′i(s	a′i(s	NOUN
ejpam-3012	217	18	)	)	PUNCT
ejpam-3012	217	19	,	,	PUNCT
ejpam-3012	217	20	a	a	DET
ejpam-3012	217	21	′′	′′	PROPN
ejpam-3012	217	22	i	i	PRON
ejpam-3012	217	23	(	(	PUNCT
ejpam-3012	217	24	s)}i0(mir	s)}i0(mir	NOUN
ejpam-3012	217	25	)	)	PUNCT
ejpam-3012	217	26	.	.	PUNCT
ejpam-3012	218	1	(	(	PUNCT
ejpam-3012	218	2	69	69	NUM
ejpam-3012	218	3	)	)	PUNCT
ejpam-3012	218	4	the	the	DET
ejpam-3012	218	5	compatibility	compatibility	NOUN
ejpam-3012	218	6	between	between	ADP
ejpam-3012	218	7	eqs	eqs	PROPN
ejpam-3012	218	8	.	.	PUNCT
ejpam-3012	219	1	(	(	PUNCT
ejpam-3012	219	2	55	55	NUM
ejpam-3012	219	3	)	)	PUNCT
ejpam-3012	219	4	and	and	CCONJ
ejpam-3012	219	5	(	(	PUNCT
ejpam-3012	219	6	57	57	NUM
ejpam-3012	219	7	)	)	PUNCT
ejpam-3012	219	8	and	and	CCONJ
ejpam-3012	219	9	eqs	eqs	PROPN
ejpam-3012	219	10	.	.	PUNCT
ejpam-3012	220	1	(	(	PUNCT
ejpam-3012	220	2	69	69	NUM
ejpam-3012	220	3	)	)	PUNCT
ejpam-3012	220	4	,	,	PUNCT
ejpam-3012	220	5	gives	give	VERB
ejpam-3012	220	6	a	a	DET
ejpam-3012	220	7	′	′	NOUN
ejpam-3012	220	8	i	i	NOUN
ejpam-3012	221	1	=	=	SYM
ejpam-3012	221	2	m2	m2	PROPN
ejpam-3012	222	1	i	i	PROPN
ejpam-3012	222	2	−	−	PROPN
ejpam-3012	222	3	q1	q1	PROPN
ejpam-3012	222	4	q1	q1	PROPN
ejpam-3012	222	5	ai	ai	PROPN
ejpam-3012	222	6	=	=	PROPN
ejpam-3012	222	7	γiai	γiai	PROPN
ejpam-3012	222	8	,	,	PUNCT
ejpam-3012	222	9	a	a	DET
ejpam-3012	222	10	′′	′′	PROPN
ejpam-3012	222	11	i	i	PRON
ejpam-3012	222	12	=	=	PUNCT
ejpam-3012	222	13	s(m2	s(m2	ADJ
ejpam-3012	223	1	i	i	PRON
ejpam-3012	223	2	−	−	PROPN
ejpam-3012	223	3	q1	q1	PROPN
ejpam-3012	223	4	)	)	PUNCT
ejpam-3012	224	1	+	+	CCONJ
ejpam-3012	224	2	q1sm	q1sm	PUNCT
ejpam-3012	224	3	2	2	NUM
ejpam-3012	224	4	i	i	PRON
ejpam-3012	224	5	q1(m2	q1(m2	VERB
ejpam-3012	224	6	i	i	PRON
ejpam-3012	224	7	−	−	PROPN
ejpam-3012	224	8	v1s−	v1s−	PROPN
ejpam-3012	224	9	v	v	ADP
ejpam-3012	224	10	2s2	2s2	NOUN
ejpam-3012	224	11	)	)	PUNCT
ejpam-3012	224	12	ai	ai	VERB
ejpam-3012	224	13	=	=	ADJ
ejpam-3012	224	14	ωiai	ωiai	ADJ
ejpam-3012	224	15	.	.	PUNCT
ejpam-3012	225	1	(	(	PUNCT
ejpam-3012	225	2	70	70	NUM
ejpam-3012	225	3	)	)	PUNCT
ejpam-3012	225	4	the	the	DET
ejpam-3012	225	5	displacement	displacement	NOUN
ejpam-3012	225	6	in	in	ADP
ejpam-3012	225	7	laplace	laplace	NOUN
ejpam-3012	225	8	domain	domain	NOUN
ejpam-3012	225	9	comes	come	VERB
ejpam-3012	225	10	as	as	SCONJ
ejpam-3012	225	11	follows	follow	VERB
ejpam-3012	225	12	ū	ū	NOUN
ejpam-3012	226	1	=	=	PUNCT
ejpam-3012	226	2	3∑	3∑	NUM
ejpam-3012	226	3	i=1	i=1	NUM
ejpam-3012	226	4	1	1	NUM
ejpam-3012	226	5	mi	mi	PROPN
ejpam-3012	226	6	a	a	DET
ejpam-3012	226	7	′	′	NUM
ejpam-3012	226	8	i(s)i1(mir	i(s)i1(mir	NOUN
ejpam-3012	226	9	)	)	PUNCT
ejpam-3012	226	10	,	,	PUNCT
ejpam-3012	226	11	(	(	PUNCT
ejpam-3012	226	12	71	71	NUM
ejpam-3012	226	13	)	)	PUNCT
ejpam-3012	226	14	which	which	PRON
ejpam-3012	226	15	is	be	AUX
ejpam-3012	226	16	derived	derive	VERB
ejpam-3012	226	17	by	by	ADP
ejpam-3012	226	18	using	use	VERB
ejpam-3012	226	19	the	the	DET
ejpam-3012	226	20	well	well	ADV
ejpam-3012	226	21	-	-	PUNCT
ejpam-3012	226	22	known	know	VERB
ejpam-3012	226	23	relation	relation	NOUN
ejpam-3012	226	24	of	of	ADP
ejpam-3012	226	25	bessel	bessel	NOUN
ejpam-3012	226	26	function,∫	function,∫	PROPN
ejpam-3012	226	27	zi0(z)dz	zi0(z)dz	PUNCT
ejpam-3012	226	28	=	=	SYM
ejpam-3012	226	29	zi1(z	zi1(z	PROPN
ejpam-3012	226	30	)	)	PUNCT
ejpam-3012	226	31	.	.	PUNCT
ejpam-3012	227	1	(	(	PUNCT
ejpam-3012	227	2	72	72	NUM
ejpam-3012	227	3	)	)	PUNCT
ejpam-3012	227	4	if	if	SCONJ
ejpam-3012	227	5	we	we	PRON
ejpam-3012	227	6	differentiate	differentiate	VERB
ejpam-3012	227	7	eq	eq	ADP
ejpam-3012	227	8	.	.	PUNCT
ejpam-3012	228	1	(	(	PUNCT
ejpam-3012	228	2	71	71	NUM
ejpam-3012	228	3	)	)	PUNCT
ejpam-3012	228	4	and	and	CCONJ
ejpam-3012	228	5	using	use	VERB
ejpam-3012	228	6	the	the	DET
ejpam-3012	228	7	formula	formula	NOUN
ejpam-3012	228	8	d	d	X
ejpam-3012	228	9	dz	dz	X
ejpam-3012	229	1	[	[	X
ejpam-3012	229	2	in(z	in(z	NOUN
ejpam-3012	229	3	)	)	PUNCT
ejpam-3012	229	4	]	]	PUNCT
ejpam-3012	230	1	=	=	PUNCT
ejpam-3012	230	2	in−1(z)−	in−1(z)−	PROPN
ejpam-3012	230	3	n	n	PROPN
ejpam-3012	230	4	z	z	NOUN
ejpam-3012	230	5	in(z	in(z	NOUN
ejpam-3012	230	6	)	)	PUNCT
ejpam-3012	230	7	,	,	PUNCT
ejpam-3012	230	8	(	(	PUNCT
ejpam-3012	230	9	73	73	NUM
ejpam-3012	230	10	)	)	PUNCT
ejpam-3012	230	11	we	we	PRON
ejpam-3012	230	12	obtain	obtain	VERB
ejpam-3012	230	13	∂ū	∂ū	NOUN
ejpam-3012	230	14	∂r	∂r	PROPN
ejpam-3012	230	15	=	=	SYM
ejpam-3012	230	16	3∑	3∑	NUM
ejpam-3012	230	17	i=1	i=1	PRON
ejpam-3012	230	18	a	a	DET
ejpam-3012	230	19	′	′	NUM
ejpam-3012	230	20	i(s	i(s	NOUN
ejpam-3012	230	21	)	)	PUNCT
ejpam-3012	230	22	(	(	PUNCT
ejpam-3012	230	23	i0(mir)−	i0(mir)−	PROPN
ejpam-3012	230	24	1	1	NUM
ejpam-3012	230	25	mir	mir	X
ejpam-3012	230	26	i1(mir	i1(mir	PROPN
ejpam-3012	230	27	)	)	PUNCT
ejpam-3012	230	28	)	)	PUNCT
ejpam-3012	230	29	.	.	PUNCT
ejpam-3012	231	1	(	(	PUNCT
ejpam-3012	231	2	74	74	X
ejpam-3012	231	3	)	)	PUNCT
ejpam-3012	231	4	substituting	substitute	VERB
ejpam-3012	231	5	from	from	ADP
ejpam-3012	231	6	eqs	eqs	PROPN
ejpam-3012	231	7	.	.	PUNCT
ejpam-3012	232	1	(	(	PUNCT
ejpam-3012	232	2	68	68	NUM
ejpam-3012	232	3	)	)	PUNCT
ejpam-3012	232	4	,	,	PUNCT
ejpam-3012	232	5	(	(	PUNCT
ejpam-3012	232	6	69	69	NUM
ejpam-3012	232	7	)	)	PUNCT
ejpam-3012	232	8	and	and	CCONJ
ejpam-3012	232	9	(	(	PUNCT
ejpam-3012	232	10	71	71	NUM
ejpam-3012	232	11	)	)	PUNCT
ejpam-3012	232	12	into	into	ADP
ejpam-3012	232	13	eq	eq	NOUN
ejpam-3012	232	14	.	.	PUNCT
ejpam-3012	233	1	(	(	PUNCT
ejpam-3012	233	2	54	54	NUM
ejpam-3012	233	3	)	)	PUNCT
ejpam-3012	233	4	,	,	PUNCT
ejpam-3012	233	5	leads	lead	VERB
ejpam-3012	233	6	to	to	ADP
ejpam-3012	233	7	ē	ē	ADV
ejpam-3012	233	8	=	=	SYM
ejpam-3012	233	9	3∑	3∑	NUM
ejpam-3012	233	10	i=1	i=1	NUM
ejpam-3012	233	11	ci(s)i1(mir	ci(s)i1(mir	PROPN
ejpam-3012	233	12	)	)	PUNCT
ejpam-3012	233	13	,	,	PUNCT
ejpam-3012	233	14	(	(	PUNCT
ejpam-3012	233	15	75	75	NUM
ejpam-3012	233	16	)	)	PUNCT
ejpam-3012	233	17	a.	a.	NOUN
ejpam-3012	233	18	m.	m.	NOUN
ejpam-3012	233	19	zenkour	zenkour	PROPN
ejpam-3012	233	20	et	et	PROPN
ejpam-3012	233	21	al	al	PROPN
ejpam-3012	234	1	.	.	PUNCT
ejpam-3012	234	2	/	/	SYM
ejpam-3012	234	3	eur	eur	PROPN
ejpam-3012	234	4	.	.	PUNCT
ejpam-3012	235	1	j.	j.	PROPN
ejpam-3012	235	2	pure	pure	PROPN
ejpam-3012	235	3	appl	appl	PROPN
ejpam-3012	235	4	.	.	PROPN
ejpam-3012	235	5	math	math	PROPN
ejpam-3012	235	6	,	,	PUNCT
ejpam-3012	235	7	10	10	NUM
ejpam-3012	235	8	(	(	PUNCT
ejpam-3012	235	9	4	4	NUM
ejpam-3012	235	10	)	)	PUNCT
ejpam-3012	235	11	(	(	PUNCT
ejpam-3012	235	12	2017	2017	NUM
ejpam-3012	235	13	)	)	PUNCT
ejpam-3012	235	14	,	,	PUNCT
ejpam-3012	235	15	786	786	NUM
ejpam-3012	235	16	-	-	SYM
ejpam-3012	235	17	808	808	NUM
ejpam-3012	235	18	797	797	NUM
ejpam-3012	235	19	where	where	SCONJ
ejpam-3012	235	20	ci	ci	NOUN
ejpam-3012	235	21	=	=	SYM
ejpam-3012	235	22	sγi	sγi	PROPN
ejpam-3012	235	23	+	+	CCONJ
ejpam-3012	235	24	sai	sai	ADJ
ejpam-3012	235	25	−	−	NOUN
ejpam-3012	235	26	ωi	ωi	PUNCT
ejpam-3012	235	27	mi(v1	mi(v1	NOUN
ejpam-3012	235	28	+	+	CCONJ
ejpam-3012	235	29	v	v	ADP
ejpam-3012	235	30	2s	2s	NUM
ejpam-3012	235	31	)	)	PUNCT
ejpam-3012	235	32	ai	ai	PROPN
ejpam-3012	235	33	=	=	ADJ
ejpam-3012	235	34	φiai	φiai	ADJ
ejpam-3012	235	35	.	.	PUNCT
ejpam-3012	236	1	(	(	PUNCT
ejpam-3012	236	2	76	76	NUM
ejpam-3012	236	3	)	)	PUNCT
ejpam-3012	236	4	now	now	ADV
ejpam-3012	236	5	,	,	PUNCT
ejpam-3012	236	6	one	one	PRON
ejpam-3012	236	7	can	can	AUX
ejpam-3012	236	8	substitute	substitute	VERB
ejpam-3012	236	9	solutions	solution	NOUN
ejpam-3012	236	10	for	for	ADP
ejpam-3012	236	11	ū	ū	NOUN
ejpam-3012	236	12	and	and	CCONJ
ejpam-3012	236	13	ψ̄	ψ̄	NOUN
ejpam-3012	236	14	in	in	ADP
ejpam-3012	236	15	eqs	eqs	PROPN
ejpam-3012	236	16	.	.	PUNCT
ejpam-3012	237	1	(	(	PUNCT
ejpam-3012	237	2	45)-(48	45)-(48	NOUN
ejpam-3012	237	3	)	)	PUNCT
ejpam-3012	237	4	to	to	PART
ejpam-3012	237	5	obtain	obtain	VERB
ejpam-3012	237	6	stress	stress	NOUN
ejpam-3012	237	7	and	and	CCONJ
ejpam-3012	237	8	moment	moment	NOUN
ejpam-3012	237	9	components	component	NOUN
ejpam-3012	237	10	as	as	ADP
ejpam-3012	237	11	σ̄rr	σ̄rr	NOUN
ejpam-3012	237	12	=	=	PUNCT
ejpam-3012	238	1	3∑	3∑	NUM
ejpam-3012	238	2	i=1	i=1	X
ejpam-3012	238	3	[	[	PUNCT
ejpam-3012	238	4	(	(	PUNCT
ejpam-3012	238	5	β2γi	β2γi	SYM
ejpam-3012	238	6	−	−	PROPN
ejpam-3012	238	7	b1)i0(mir)−	b1)i0(mir)−	NUM
ejpam-3012	238	8	2γi	2γi	ADJ
ejpam-3012	238	9	mir	mir	X
ejpam-3012	238	10	i1(mir	i1(mir	PROPN
ejpam-3012	238	11	)	)	PUNCT
ejpam-3012	238	12	]	]	PUNCT
ejpam-3012	238	13	ai(s	ai(s	NUM
ejpam-3012	238	14	)	)	PUNCT
ejpam-3012	238	15	,	,	PUNCT
ejpam-3012	238	16	(	(	PUNCT
ejpam-3012	238	17	77	77	X
ejpam-3012	238	18	)	)	PUNCT
ejpam-3012	238	19	σ̄ϕϕ	σ̄ϕϕ	NOUN
ejpam-3012	238	20	=	=	SYM
ejpam-3012	239	1	3∑	3∑	NUM
ejpam-3012	239	2	i=1	i=1	X
ejpam-3012	240	1	[	[	PUNCT
ejpam-3012	240	2	(	(	PUNCT
ejpam-3012	240	3	β2γi	β2γi	SYM
ejpam-3012	240	4	−	−	NOUN
ejpam-3012	240	5	b1	b1	NOUN
ejpam-3012	240	6	−	−	PROPN
ejpam-3012	240	7	2γi)i0(mir	2γi)i0(mir	NUM
ejpam-3012	240	8	)	)	PUNCT
ejpam-3012	241	1	+	+	CCONJ
ejpam-3012	241	2	2γi	2γi	ADJ
ejpam-3012	241	3	mir	mir	X
ejpam-3012	241	4	i1(mir	i1(mir	PROPN
ejpam-3012	241	5	)	)	PUNCT
ejpam-3012	241	6	]	]	PUNCT
ejpam-3012	241	7	ai(s	ai(s	NUM
ejpam-3012	241	8	)	)	PUNCT
ejpam-3012	241	9	,	,	PUNCT
ejpam-3012	241	10	(	(	PUNCT
ejpam-3012	241	11	78	78	X
ejpam-3012	241	12	)	)	PUNCT
ejpam-3012	241	13	σ̄zz	σ̄zz	ADJ
ejpam-3012	241	14	=	=	PUNCT
ejpam-3012	241	15	3∑	3∑	NUM
ejpam-3012	241	16	i=1	i=1	X
ejpam-3012	241	17	[	[	PUNCT
ejpam-3012	241	18	γi(β	γi(β	NUM
ejpam-3012	241	19	2	2	NUM
ejpam-3012	241	20	−	−	PROPN
ejpam-3012	241	21	2)−	2)−	NUM
ejpam-3012	241	22	b1	b1	PROPN
ejpam-3012	241	23	]	]	PUNCT
ejpam-3012	241	24	i0(mir)ai(s	i0(mir)ai(s	NOUN
ejpam-3012	241	25	)	)	PUNCT
ejpam-3012	241	26	,	,	PUNCT
ejpam-3012	241	27	(	(	PUNCT
ejpam-3012	241	28	79	79	X
ejpam-3012	241	29	)	)	PUNCT
ejpam-3012	241	30	m̄rr	m̄rr	NOUN
ejpam-3012	241	31	=	=	PUNCT
ejpam-3012	242	1	−b2	−b2	PROPN
ejpam-3012	242	2	3∑	3∑	NOUN
ejpam-3012	242	3	i=1	i=1	PROPN
ejpam-3012	242	4	ωii0(mir)ai(s	ωii0(mir)ai(s	NOUN
ejpam-3012	242	5	)	)	PUNCT
ejpam-3012	242	6	.	.	PUNCT
ejpam-3012	243	1	(	(	PUNCT
ejpam-3012	243	2	80	80	NUM
ejpam-3012	243	3	)	)	PUNCT
ejpam-3012	243	4	also	also	ADV
ejpam-3012	243	5	,	,	PUNCT
ejpam-3012	243	6	the	the	DET
ejpam-3012	243	7	induced	induce	VERB
ejpam-3012	243	8	fields	field	NOUN
ejpam-3012	243	9	in	in	ADP
ejpam-3012	243	10	free	free	ADJ
ejpam-3012	243	11	space	space	NOUN
ejpam-3012	243	12	h̄0	h̄0	NOUN
ejpam-3012	243	13	and	and	CCONJ
ejpam-3012	243	14	ē0	ē0	NOUN
ejpam-3012	243	15	,	,	PUNCT
ejpam-3012	243	16	which	which	PRON
ejpam-3012	243	17	are	be	AUX
ejpam-3012	243	18	bounded	bound	VERB
ejpam-3012	243	19	at	at	ADP
ejpam-3012	243	20	infinity	infinity	NOUN
ejpam-3012	243	21	,	,	PUNCT
ejpam-3012	243	22	maybe	maybe	ADV
ejpam-3012	243	23	deduced	deduce	VERB
ejpam-3012	243	24	from	from	ADP
ejpam-3012	243	25	eqs	eqs	PROPN
ejpam-3012	243	26	.	.	PUNCT
ejpam-3012	244	1	(	(	PUNCT
ejpam-3012	244	2	60	60	NUM
ejpam-3012	244	3	)	)	PUNCT
ejpam-3012	244	4	and	and	CCONJ
ejpam-3012	244	5	(	(	PUNCT
ejpam-3012	244	6	61	61	NUM
ejpam-3012	244	7	)	)	PUNCT
ejpam-3012	244	8	in	in	ADP
ejpam-3012	244	9	the	the	DET
ejpam-3012	244	10	form	form	NOUN
ejpam-3012	244	11	h̄0	h̄0	NOUN
ejpam-3012	244	12	=	=	SYM
ejpam-3012	244	13	k0(v	k0(v	NOUN
ejpam-3012	244	14	sr)a4(s	sr)a4(s	NOUN
ejpam-3012	244	15	)	)	PUNCT
ejpam-3012	244	16	,	,	PUNCT
ejpam-3012	244	17	(	(	PUNCT
ejpam-3012	244	18	81	81	NUM
ejpam-3012	244	19	)	)	PUNCT
ejpam-3012	244	20	ē0	ē0	VERB
ejpam-3012	244	21	=	=	SYM
ejpam-3012	244	22	1	1	NUM
ejpam-3012	244	23	v	v	ADP
ejpam-3012	244	24	k1(v	k1(v	PROPN
ejpam-3012	244	25	sr)a4(s	sr)a4(s	PROPN
ejpam-3012	244	26	)	)	PUNCT
ejpam-3012	244	27	,	,	PUNCT
ejpam-3012	244	28	(	(	PUNCT
ejpam-3012	244	29	82	82	NUM
ejpam-3012	244	30	)	)	PUNCT
ejpam-3012	244	31	where	where	SCONJ
ejpam-3012	244	32	a4(s	a4(s	NOUN
ejpam-3012	244	33	)	)	PUNCT
ejpam-3012	244	34	is	be	AUX
ejpam-3012	244	35	a	a	DET
ejpam-3012	244	36	parameter	parameter	NOUN
ejpam-3012	244	37	depending	depend	VERB
ejpam-3012	244	38	on	on	ADP
ejpam-3012	244	39	s	s	PRON
ejpam-3012	244	40	only	only	ADV
ejpam-3012	244	41	.	.	PUNCT
ejpam-3012	245	1	the	the	DET
ejpam-3012	245	2	boundary	boundary	ADJ
ejpam-3012	245	3	conditions	condition	NOUN
ejpam-3012	245	4	given	give	VERB
ejpam-3012	245	5	in	in	ADP
ejpam-3012	245	6	eqs	eqs	PROPN
ejpam-3012	245	7	.	.	PUNCT
ejpam-3012	246	1	(	(	PUNCT
ejpam-3012	246	2	48	48	NUM
ejpam-3012	246	3	)	)	PUNCT
ejpam-3012	246	4	may	may	AUX
ejpam-3012	246	5	be	be	AUX
ejpam-3012	246	6	written	write	VERB
ejpam-3012	246	7	,	,	PUNCT
ejpam-3012	246	8	after	after	ADP
ejpam-3012	246	9	using	use	VERB
ejpam-3012	246	10	laplace	laplace	NOUN
ejpam-3012	246	11	transform	transform	NOUN
ejpam-3012	246	12	,	,	PUNCT
ejpam-3012	246	13	in	in	ADP
ejpam-3012	246	14	the	the	DET
ejpam-3012	246	15	form	form	NOUN
ejpam-3012	246	16	ē(a	ē(a	NOUN
ejpam-3012	246	17	,	,	PUNCT
ejpam-3012	246	18	s	s	NOUN
ejpam-3012	246	19	)	)	PUNCT
ejpam-3012	246	20	=	=	SYM
ejpam-3012	247	1	ē0(a	ē0(a	PROPN
ejpam-3012	247	2	,	,	PUNCT
ejpam-3012	247	3	s	s	PART
ejpam-3012	247	4	)	)	PUNCT
ejpam-3012	247	5	,	,	PUNCT
ejpam-3012	247	6	(	(	PUNCT
ejpam-3012	247	7	83	83	NUM
ejpam-3012	247	8	)	)	PUNCT
ejpam-3012	247	9	h̄(a	h̄(a	PROPN
ejpam-3012	247	10	,	,	PUNCT
ejpam-3012	247	11	s	s	AUX
ejpam-3012	247	12	)	)	PUNCT
ejpam-3012	247	13	=	=	SYM
ejpam-3012	247	14	h̄0(a	h̄0(a	NOUN
ejpam-3012	247	15	,	,	PUNCT
ejpam-3012	247	16	s	s	PART
ejpam-3012	247	17	)	)	PUNCT
ejpam-3012	247	18	,	,	PUNCT
ejpam-3012	247	19	(	(	PUNCT
ejpam-3012	247	20	84	84	NUM
ejpam-3012	247	21	)	)	PUNCT
ejpam-3012	247	22	σ̄rr(a	σ̄rr(a	VERB
ejpam-3012	247	23	,	,	PUNCT
ejpam-3012	247	24	s	s	NOUN
ejpam-3012	247	25	)	)	PUNCT
ejpam-3012	247	26	=	=	SYM
ejpam-3012	247	27	0	0	NUM
ejpam-3012	247	28	,	,	PUNCT
ejpam-3012	247	29	(	(	PUNCT
ejpam-3012	247	30	85	85	NUM
ejpam-3012	247	31	)	)	PUNCT
ejpam-3012	247	32	ψ̄(r	ψ̄(r	NOUN
ejpam-3012	247	33	,	,	PUNCT
ejpam-3012	247	34	s	s	X
ejpam-3012	247	35	)	)	PUNCT
ejpam-3012	247	36	=	=	SYM
ejpam-3012	247	37	θ0	θ0	NOUN
ejpam-3012	247	38	(	(	PUNCT
ejpam-3012	247	39	1	1	NUM
ejpam-3012	247	40	s	s	PART
ejpam-3012	247	41	+	+	NOUN
ejpam-3012	247	42	k1	k1	PROPN
ejpam-3012	247	43	2s	2s	NUM
ejpam-3012	247	44	)	)	PUNCT
ejpam-3012	247	45	=	=	SYM
ejpam-3012	247	46	ḡ(s	ḡ(s	PROPN
ejpam-3012	247	47	)	)	PUNCT
ejpam-3012	247	48	.	.	PUNCT
ejpam-3012	248	1	(	(	PUNCT
ejpam-3012	248	2	86	86	NUM
ejpam-3012	248	3	)	)	PUNCT
ejpam-3012	248	4	a.	a.	NOUN
ejpam-3012	248	5	m.	m.	NOUN
ejpam-3012	248	6	zenkour	zenkour	PROPN
ejpam-3012	248	7	et	et	PROPN
ejpam-3012	248	8	al	al	PROPN
ejpam-3012	248	9	.	.	PUNCT
ejpam-3012	248	10	/	/	SYM
ejpam-3012	248	11	eur	eur	PROPN
ejpam-3012	248	12	.	.	PUNCT
ejpam-3012	249	1	j.	j.	PROPN
ejpam-3012	249	2	pure	pure	PROPN
ejpam-3012	249	3	appl	appl	PROPN
ejpam-3012	249	4	.	.	PROPN
ejpam-3012	249	5	math	math	PROPN
ejpam-3012	249	6	,	,	PUNCT
ejpam-3012	249	7	10	10	NUM
ejpam-3012	249	8	(	(	PUNCT
ejpam-3012	249	9	4	4	NUM
ejpam-3012	249	10	)	)	PUNCT
ejpam-3012	249	11	(	(	PUNCT
ejpam-3012	249	12	2017	2017	NUM
ejpam-3012	249	13	)	)	PUNCT
ejpam-3012	249	14	,	,	PUNCT
ejpam-3012	249	15	786	786	NUM
ejpam-3012	249	16	-	-	SYM
ejpam-3012	249	17	808	808	NUM
ejpam-3012	249	18	798	798	NUM
ejpam-3012	249	19	after	after	ADP
ejpam-3012	249	20	applying	apply	VERB
ejpam-3012	249	21	the	the	DET
ejpam-3012	249	22	above	above	ADJ
ejpam-3012	249	23	boundary	boundary	ADJ
ejpam-3012	249	24	conditions	condition	NOUN
ejpam-3012	249	25	we	we	PRON
ejpam-3012	249	26	obtain	obtain	VERB
ejpam-3012	249	27	four	four	NUM
ejpam-3012	249	28	equations	equation	NOUN
ejpam-3012	249	29	in	in	ADP
ejpam-3012	249	30	unknown	unknown	ADJ
ejpam-3012	249	31	parameters	parameter	NOUN
ejpam-3012	249	32	aj	aj	PROPN
ejpam-3012	249	33	as	as	ADP
ejpam-3012	249	34	3∑	3∑	PROPN
ejpam-3012	249	35	i=1	i=1	PROPN
ejpam-3012	249	36	ci(s)i1(mia)−a4(s)k0(v	ci(s)i1(mia)−a4(s)k0(v	PROPN
ejpam-3012	249	37	sa	sa	PROPN
ejpam-3012	249	38	)	)	PUNCT
ejpam-3012	249	39	=	=	SYM
ejpam-3012	249	40	0	0	NUM
ejpam-3012	249	41	,	,	PUNCT
ejpam-3012	249	42	(	(	PUNCT
ejpam-3012	249	43	87	87	NUM
ejpam-3012	249	44	)	)	PUNCT
ejpam-3012	249	45	3∑	3∑	PROPN
ejpam-3012	249	46	i=1	i=1	PROPN
ejpam-3012	249	47	φiai(s)i0(mia)−a4(s)k0(v	φiai(s)i0(mia)−a4(s)k0(v	NOUN
ejpam-3012	249	48	sa	sa	PROPN
ejpam-3012	249	49	)	)	PUNCT
ejpam-3012	249	50	=	=	SYM
ejpam-3012	250	1	0	0	NUM
ejpam-3012	250	2	,	,	PUNCT
ejpam-3012	250	3	(	(	PUNCT
ejpam-3012	250	4	88	88	NUM
ejpam-3012	250	5	)	)	PUNCT
ejpam-3012	250	6	3∑	3∑	NOUN
ejpam-3012	250	7	i=1	i=1	X
ejpam-3012	250	8	[	[	PUNCT
ejpam-3012	250	9	(	(	PUNCT
ejpam-3012	250	10	β2γi	β2γi	PUNCT
ejpam-3012	250	11	−	−	PROPN
ejpam-3012	250	12	b1)i0(mia)−	b1)i0(mia)−	NUM
ejpam-3012	250	13	2γi	2γi	PROPN
ejpam-3012	250	14	mia	mia	PROPN
ejpam-3012	250	15	i1(mia	i1(mia	PROPN
ejpam-3012	250	16	)	)	PUNCT
ejpam-3012	250	17	]	]	PUNCT
ejpam-3012	250	18	ai(s	ai(s	X
ejpam-3012	250	19	)	)	PUNCT
ejpam-3012	250	20	=	=	SYM
ejpam-3012	250	21	0	0	NUM
ejpam-3012	250	22	,	,	PUNCT
ejpam-3012	250	23	(	(	PUNCT
ejpam-3012	250	24	89	89	X
ejpam-3012	250	25	)	)	PUNCT
ejpam-3012	250	26	3∑	3∑	PROPN
ejpam-3012	250	27	i=1	i=1	PROPN
ejpam-3012	250	28	ai(s)i0(mia	ai(s)i0(mia	NOUN
ejpam-3012	250	29	)	)	PUNCT
ejpam-3012	250	30	=	=	SYM
ejpam-3012	250	31	ḡ(s	ḡ(s	PROPN
ejpam-3012	250	32	)	)	PUNCT
ejpam-3012	250	33	.	.	PUNCT
ejpam-3012	251	1	(	(	PUNCT
ejpam-3012	251	2	90	90	NUM
ejpam-3012	251	3	)	)	PUNCT
ejpam-3012	251	4	it	it	PRON
ejpam-3012	251	5	is	be	AUX
ejpam-3012	251	6	easy	easy	ADJ
ejpam-3012	251	7	to	to	PART
ejpam-3012	251	8	find	find	VERB
ejpam-3012	251	9	the	the	DET
ejpam-3012	251	10	constants	constant	NOUN
ejpam-3012	251	11	aj	aj	PROPN
ejpam-3012	251	12	due	due	ADP
ejpam-3012	251	13	to	to	ADP
ejpam-3012	251	14	the	the	DET
ejpam-3012	251	15	above	above	ADJ
ejpam-3012	251	16	equations	equation	NOUN
ejpam-3012	251	17	and	and	CCONJ
ejpam-3012	251	18	then	then	ADV
ejpam-3012	251	19	the	the	DET
ejpam-3012	251	20	solution	solution	NOUN
ejpam-3012	251	21	in	in	ADP
ejpam-3012	251	22	laplace	laplace	NOUN
ejpam-3012	251	23	transform	transform	NOUN
ejpam-3012	251	24	domain	domain	NOUN
ejpam-3012	251	25	will	will	AUX
ejpam-3012	251	26	be	be	AUX
ejpam-3012	251	27	completed	complete	VERB
ejpam-3012	251	28	.	.	PUNCT
ejpam-3012	252	1	moreover	moreover	ADV
ejpam-3012	252	2	,	,	PUNCT
ejpam-3012	252	3	temperature	temperature	NOUN
ejpam-3012	252	4	increment	increment	NOUN
ejpam-3012	252	5	θ̄	θ̄	NOUN
ejpam-3012	252	6	can	can	AUX
ejpam-3012	252	7	be	be	AUX
ejpam-3012	252	8	deduced	deduce	VERB
ejpam-3012	252	9	in	in	ADP
ejpam-3012	252	10	terms	term	NOUN
ejpam-3012	252	11	of	of	ADP
ejpam-3012	252	12	ψ̄	ψ̄	NUM
ejpam-3012	252	13	by	by	ADP
ejpam-3012	252	14	using	use	VERB
ejpam-3012	252	15	eq	eq	ADP
ejpam-3012	252	16	.	.	PUNCT
ejpam-3012	253	1	(	(	PUNCT
ejpam-3012	253	2	29	29	NUM
ejpam-3012	253	3	)	)	PUNCT
ejpam-3012	253	4	as	as	ADP
ejpam-3012	253	5	θ̄(r	θ̄(r	NOUN
ejpam-3012	253	6	,	,	PUNCT
ejpam-3012	253	7	s	s	NOUN
ejpam-3012	253	8	)	)	PUNCT
ejpam-3012	253	9	=	=	SYM
ejpam-3012	254	1	−1	−1	NOUN
ejpam-3012	254	2	+	+	CCONJ
ejpam-3012	254	3	√	√	NUM
ejpam-3012	254	4	1	1	NUM
ejpam-3012	255	1	+	+	CCONJ
ejpam-3012	255	2	2k1ψ̄	2k1ψ̄	NUM
ejpam-3012	255	3	k1	k1	NOUN
ejpam-3012	255	4	.	.	PUNCT
ejpam-3012	256	1	(	(	PUNCT
ejpam-3012	256	2	91	91	NUM
ejpam-3012	256	3	)	)	PUNCT
ejpam-3012	256	4	6	6	NUM
ejpam-3012	256	5	.	.	PUNCT
ejpam-3012	256	6	numerical	numerical	ADJ
ejpam-3012	256	7	results	result	NOUN
ejpam-3012	256	8	and	and	CCONJ
ejpam-3012	256	9	discussions	discussion	NOUN
ejpam-3012	256	10	laplace	laplace	NOUN
ejpam-3012	256	11	inversions	inversion	NOUN
ejpam-3012	256	12	for	for	ADP
ejpam-3012	256	13	all	all	PRON
ejpam-3012	256	14	obtained	obtain	VERB
ejpam-3012	256	15	variables	variable	NOUN
ejpam-3012	256	16	in	in	ADP
ejpam-3012	256	17	laplace	laplace	NOUN
ejpam-3012	256	18	transform	transform	NOUN
ejpam-3012	256	19	domain	domain	NOUN
ejpam-3012	256	20	should	should	AUX
ejpam-3012	256	21	be	be	AUX
ejpam-3012	256	22	used	use	VERB
ejpam-3012	256	23	to	to	PART
ejpam-3012	256	24	get	get	VERB
ejpam-3012	256	25	the	the	DET
ejpam-3012	256	26	final	final	ADJ
ejpam-3012	256	27	solutions	solution	NOUN
ejpam-3012	256	28	in	in	ADP
ejpam-3012	256	29	physical	physical	ADJ
ejpam-3012	256	30	domain	domain	NOUN
ejpam-3012	256	31	.	.	PUNCT
ejpam-3012	257	1	numerical	numerical	ADJ
ejpam-3012	257	2	inversion	inversion	NOUN
ejpam-3012	257	3	method	method	NOUN
ejpam-3012	257	4	based	base	VERB
ejpam-3012	257	5	on	on	ADP
ejpam-3012	257	6	fouriers	fouriers	PROPN
ejpam-3012	257	7	series	series	PROPN
ejpam-3012	257	8	expansion	expansion	NOUN
ejpam-3012	258	1	[	[	X
ejpam-3012	258	2	11	11	NUM
ejpam-3012	258	3	]	]	PUNCT
ejpam-3012	258	4	obvious	obvious	ADJ
ejpam-3012	258	5	that	that	SCONJ
ejpam-3012	258	6	inversion	inversion	NOUN
ejpam-3012	258	7	g(r	g(r	PROPN
ejpam-3012	258	8	,	,	PUNCT
ejpam-3012	258	9	t	t	PROPN
ejpam-3012	258	10	)	)	PUNCT
ejpam-3012	258	11	of	of	ADP
ejpam-3012	258	12	laplace	laplace	NOUN
ejpam-3012	258	13	transform	transform	NOUN
ejpam-3012	258	14	ḡ(s	ḡ(s	PROPN
ejpam-3012	258	15	)	)	PUNCT
ejpam-3012	258	16	maybe	maybe	ADV
ejpam-3012	258	17	approximated	approximate	VERB
ejpam-3012	258	18	as	as	ADP
ejpam-3012	258	19	g(t	g(t	PROPN
ejpam-3012	258	20	)	)	PUNCT
ejpam-3012	258	21	=	=	PRON
ejpam-3012	259	1	ect	ect	PROPN
ejpam-3012	259	2	t1	t1	NOUN
ejpam-3012	259	3	[	[	PUNCT
ejpam-3012	259	4	g(c	g(c	NOUN
ejpam-3012	259	5	)	)	PUNCT
ejpam-3012	259	6	2	2	NUM
ejpam-3012	259	7	+	+	X
ejpam-3012	259	8	re	re	ADP
ejpam-3012	259	9	{	{	PUNCT
ejpam-3012	259	10	n∑	n∑	NOUN
ejpam-3012	259	11	k=1	k=1	PROPN
ejpam-3012	259	12	eikπt	eikπt	PROPN
ejpam-3012	259	13	/	/	SYM
ejpam-3012	259	14	t1	t1	PROPN
ejpam-3012	259	15	g	g	PROPN
ejpam-3012	259	16	(	(	PUNCT
ejpam-3012	259	17	c+	c+	X
ejpam-3012	259	18	ikπt	ikπt	NOUN
ejpam-3012	259	19	t1	t1	PROPN
ejpam-3012	259	20	)	)	PUNCT
ejpam-3012	259	21	}	}	PUNCT
ejpam-3012	259	22	]	]	PUNCT
ejpam-3012	259	23	,	,	PUNCT
ejpam-3012	259	24	0	0	NUM
ejpam-3012	259	25	≤	≤	NUM
ejpam-3012	259	26	t	t	PROPN
ejpam-3012	259	27	≤	≤	NOUN
ejpam-3012	259	28	2t1	2t1	NUM
ejpam-3012	259	29	,	,	PUNCT
ejpam-3012	259	30	(	(	PUNCT
ejpam-3012	259	31	92	92	NUM
ejpam-3012	259	32	)	)	PUNCT
ejpam-3012	259	33	in	in	ADP
ejpam-3012	259	34	which	which	PRON
ejpam-3012	259	35	n	n	ADP
ejpam-3012	259	36	presents	present	VERB
ejpam-3012	259	37	number	number	NOUN
ejpam-3012	259	38	of	of	ADP
ejpam-3012	259	39	terms	term	NOUN
ejpam-3012	259	40	in	in	ADP
ejpam-3012	259	41	truncated	truncated	ADJ
ejpam-3012	259	42	infinite	infinite	ADJ
ejpam-3012	259	43	fourier	fourier	NOUN
ejpam-3012	259	44	series	series	NOUN
ejpam-3012	259	45	.	.	PUNCT
ejpam-3012	260	1	it	it	PRON
ejpam-3012	260	2	must	must	AUX
ejpam-3012	260	3	be	be	AUX
ejpam-3012	260	4	chosen	choose	VERB
ejpam-3012	260	5	such	such	ADJ
ejpam-3012	260	6	that	that	DET
ejpam-3012	260	7	ectre	ectre	NOUN
ejpam-3012	260	8	{	{	PUNCT
ejpam-3012	260	9	einπt	einπt	NOUN
ejpam-3012	260	10	/	/	SYM
ejpam-3012	261	1	t1	t1	PROPN
ejpam-3012	261	2	g	g	PROPN
ejpam-3012	261	3	(	(	PUNCT
ejpam-3012	261	4	c+	c+	X
ejpam-3012	261	5	inπt	inπt	NOUN
ejpam-3012	261	6	t1	t1	NOUN
ejpam-3012	261	7	)	)	PUNCT
ejpam-3012	261	8	}	}	PUNCT
ejpam-3012	261	9	≤	≤	NUM
ejpam-3012	261	10	ε1	ε1	PROPN
ejpam-3012	261	11	,	,	PUNCT
ejpam-3012	261	12	(	(	PUNCT
ejpam-3012	261	13	93	93	NUM
ejpam-3012	261	14	)	)	PUNCT
ejpam-3012	261	15	where	where	SCONJ
ejpam-3012	261	16	ε1	ε1	NOUN
ejpam-3012	261	17	represents	represents	AUX
ejpam-3012	261	18	persecuted	persecute	VERB
ejpam-3012	261	19	small	small	ADJ
ejpam-3012	261	20	positive	positive	ADJ
ejpam-3012	261	21	number	number	NOUN
ejpam-3012	261	22	,	,	PUNCT
ejpam-3012	261	23	c	c	PROPN
ejpam-3012	261	24	represents	represent	VERB
ejpam-3012	261	25	positive	positive	ADJ
ejpam-3012	261	26	free	free	ADJ
ejpam-3012	261	27	parameter	parameter	NOUN
ejpam-3012	261	28	that	that	PRON
ejpam-3012	261	29	must	must	AUX
ejpam-3012	261	30	be	be	AUX
ejpam-3012	261	31	greater	great	ADJ
ejpam-3012	261	32	than	than	ADP
ejpam-3012	261	33	real	real	ADJ
ejpam-3012	261	34	parts	part	NOUN
ejpam-3012	261	35	of	of	ADP
ejpam-3012	261	36	all	all	DET
ejpam-3012	261	37	singularities	singularity	NOUN
ejpam-3012	261	38	of	of	ADP
ejpam-3012	261	39	ḡ(s	ḡ(s	NOUN
ejpam-3012	261	40	)	)	PUNCT
ejpam-3012	262	1	[	[	X
ejpam-3012	262	2	28	28	NUM
ejpam-3012	262	3	]	]	PUNCT
ejpam-3012	262	4	.	.	PUNCT
ejpam-3012	263	1	a.	a.	PROPN
ejpam-3012	263	2	m.	m.	NOUN
ejpam-3012	263	3	zenkour	zenkour	PROPN
ejpam-3012	263	4	et	et	PROPN
ejpam-3012	263	5	al	al	PROPN
ejpam-3012	263	6	.	.	PUNCT
ejpam-3012	263	7	/	/	SYM
ejpam-3012	263	8	eur	eur	PROPN
ejpam-3012	263	9	.	.	PUNCT
ejpam-3012	264	1	j.	j.	PROPN
ejpam-3012	264	2	pure	pure	PROPN
ejpam-3012	264	3	appl	appl	PROPN
ejpam-3012	264	4	.	.	PROPN
ejpam-3012	264	5	math	math	PROPN
ejpam-3012	264	6	,	,	PUNCT
ejpam-3012	264	7	10	10	NUM
ejpam-3012	264	8	(	(	PUNCT
ejpam-3012	264	9	4	4	NUM
ejpam-3012	264	10	)	)	PUNCT
ejpam-3012	264	11	(	(	PUNCT
ejpam-3012	264	12	2017	2017	NUM
ejpam-3012	264	13	)	)	PUNCT
ejpam-3012	264	14	,	,	PUNCT
ejpam-3012	264	15	786	786	NUM
ejpam-3012	264	16	-	-	SYM
ejpam-3012	264	17	808	808	NUM
ejpam-3012	264	18	799	799	NUM
ejpam-3012	264	19	now	now	ADV
ejpam-3012	264	20	,	,	PUNCT
ejpam-3012	264	21	numerical	numerical	ADJ
ejpam-3012	264	22	results	result	NOUN
ejpam-3012	264	23	are	be	AUX
ejpam-3012	264	24	carried	carry	VERB
ejpam-3012	264	25	out	out	ADP
ejpam-3012	264	26	for	for	ADP
ejpam-3012	264	27	cooper	cooper	NOUN
ejpam-3012	264	28	,	,	PUNCT
ejpam-3012	264	29	which	which	PRON
ejpam-3012	264	30	has	have	VERB
ejpam-3012	264	31	the	the	DET
ejpam-3012	264	32	following	follow	VERB
ejpam-3012	264	33	material	material	NOUN
ejpam-3012	264	34	constants	constant	NOUN
ejpam-3012	264	35	[	[	X
ejpam-3012	264	36	22	22	NUM
ejpam-3012	264	37	]	]	PUNCT
ejpam-3012	264	38	.	.	PUNCT
ejpam-3012	265	1	k	k	X
ejpam-3012	265	2	=	=	PUNCT
ejpam-3012	265	3	368	368	NUM
ejpam-3012	265	4	wm−1	wm−1	PROPN
ejpam-3012	265	5	k−1	k−1	PROPN
ejpam-3012	265	6	,	,	PUNCT
ejpam-3012	265	7	αt	αt	PROPN
ejpam-3012	265	8	=	=	SYM
ejpam-3012	265	9	1.78×	1.78×	NUM
ejpam-3012	265	10	10−5	10−5	NUM
ejpam-3012	265	11	k−1	k−1	PROPN
ejpam-3012	265	12	,	,	PUNCT
ejpam-3012	265	13	ce	ce	PROPN
ejpam-3012	265	14	=	=	PUNCT
ejpam-3012	265	15	383.1	383.1	NUM
ejpam-3012	265	16	jkg−1	jkg−1	PROPN
ejpam-3012	265	17	k−1	k−1	PROPN
ejpam-3012	265	18	,	,	PUNCT
ejpam-3012	265	19	ρ	ρ	PROPN
ejpam-3012	265	20	=	=	SYM
ejpam-3012	265	21	8954	8954	NUM
ejpam-3012	265	22	kgm−3	kgm−3	PROPN
ejpam-3012	265	23	,	,	PUNCT
ejpam-3012	265	24	λ	λ	PROPN
ejpam-3012	265	25	=	=	SYM
ejpam-3012	265	26	7.76×	7.76×	NUM
ejpam-3012	265	27	1010	1010	NUM
ejpam-3012	265	28	nm−2	nm−2	PROPN
ejpam-3012	265	29	,	,	PUNCT
ejpam-3012	265	30	µ	µ	X
ejpam-3012	265	31	=	=	SYM
ejpam-3012	265	32	3.86×	3.86×	NUM
ejpam-3012	265	33	1010	1010	NUM
ejpam-3012	265	34	nm−2	nm−2	PROPN
ejpam-3012	265	35	,	,	PUNCT
ejpam-3012	265	36	η	η	PROPN
ejpam-3012	265	37	=	=	PROPN
ejpam-3012	265	38	8886.73	8886.73	NUM
ejpam-3012	265	39	sm−2	sm−2	PROPN
ejpam-3012	265	40	,	,	PUNCT
ejpam-3012	265	41	t0	t0	X
ejpam-3012	265	42	=	=	PUNCT
ejpam-3012	265	43	293	293	NUM
ejpam-3012	265	44	k	k	NOUN
ejpam-3012	265	45	,	,	PUNCT
ejpam-3012	265	46	ε	ε	PROPN
ejpam-3012	265	47	=	=	SYM
ejpam-3012	265	48	0.0168	0.0168	NUM
ejpam-3012	265	49	,	,	PUNCT
ejpam-3012	265	50	g	g	NOUN
ejpam-3012	265	51	=	=	NOUN
ejpam-3012	265	52	1.61	1.61	NUM
ejpam-3012	265	53	,	,	PUNCT
ejpam-3012	265	54	σ0	σ0	NOUN
ejpam-3012	265	55	=	=	SYM
ejpam-3012	265	56	5.7×	5.7×	NUM
ejpam-3012	265	57	107	107	NUM
ejpam-3012	265	58	,	,	PUNCT
ejpam-3012	265	59	ε0	ε0	PROPN
ejpam-3012	265	60	=	=	PROPN
ejpam-3012	265	61	10−9/36π	10−9/36π	NUM
ejpam-3012	265	62	fm−1	fm−1	NOUN
ejpam-3012	265	63	,	,	PUNCT
ejpam-3012	265	64	µ0	µ0	NOUN
ejpam-3012	265	65	=	=	SYM
ejpam-3012	265	66	4π	4π	NUM
ejpam-3012	265	67	×	×	NOUN
ejpam-3012	265	68	10−7	10−7	NUM
ejpam-3012	265	69	hm−1	hm−1	NOUN
ejpam-3012	265	70	,	,	PUNCT
ejpam-3012	265	71	h0	h0	NOUN
ejpam-3012	265	72	=	=	PROPN
ejpam-3012	265	73	107/4π	107/4π	PROPN
ejpam-3012	265	74	am−1	am−1	PROPN
ejpam-3012	265	75	.	.	PUNCT
ejpam-3012	266	1	(	(	PUNCT
ejpam-3012	266	2	94	94	X
ejpam-3012	266	3	)	)	PUNCT
ejpam-3012	266	4	numerical	numerical	ADJ
ejpam-3012	266	5	results	result	NOUN
ejpam-3012	266	6	for	for	ADP
ejpam-3012	266	7	physical	physical	ADJ
ejpam-3012	266	8	quantities	quantity	NOUN
ejpam-3012	266	9	for	for	ADP
ejpam-3012	266	10	dimensionless	dimensionless	NOUN
ejpam-3012	266	11	time	time	NOUN
ejpam-3012	266	12	t	t	PROPN
ejpam-3012	266	13	=	=	SYM
ejpam-3012	266	14	0.1	0.1	NUM
ejpam-3012	266	15	can	can	AUX
ejpam-3012	266	16	be	be	AUX
ejpam-3012	266	17	conducted	conduct	VERB
ejpam-3012	266	18	using	use	VERB
ejpam-3012	266	19	this	this	DET
ejpam-3012	266	20	data	datum	NOUN
ejpam-3012	266	21	.	.	PUNCT
ejpam-3012	267	1	distributions	distribution	NOUN
ejpam-3012	267	2	of	of	ADP
ejpam-3012	267	3	dimensionless	dimensionless	ADJ
ejpam-3012	267	4	temperature	temperature	NOUN
ejpam-3012	267	5	θ	θ	NOUN
ejpam-3012	267	6	,	,	PUNCT
ejpam-3012	267	7	radial	radial	ADJ
ejpam-3012	267	8	displacement	displacement	ADJ
ejpam-3012	267	9	u	u	NOUN
ejpam-3012	267	10	,	,	PUNCT
ejpam-3012	267	11	stress	stress	NOUN
ejpam-3012	267	12	component	component	NOUN
ejpam-3012	267	13	σrr	σrr	PROPN
ejpam-3012	267	14	,	,	PUNCT
ejpam-3012	267	15	maxwell	maxwell	PROPN
ejpam-3012	267	16	’s	’s	PART
ejpam-3012	267	17	stress	stress	PROPN
ejpam-3012	267	18	mrr	mrr	PROPN
ejpam-3012	267	19	,	,	PUNCT
ejpam-3012	267	20	induced	induce	VERB
ejpam-3012	267	21	magnetic	magnetic	ADJ
ejpam-3012	267	22	field	field	NOUN
ejpam-3012	267	23	h	h	NOUN
ejpam-3012	267	24	and	and	CCONJ
ejpam-3012	267	25	induced	induce	VERB
ejpam-3012	267	26	electric	electric	ADJ
ejpam-3012	267	27	field	field	NOUN
ejpam-3012	267	28	component	component	NOUN
ejpam-3012	267	29	e	e	NOUN
ejpam-3012	267	30	,	,	PUNCT
ejpam-3012	267	31	induced	induce	VERB
ejpam-3012	267	32	field	field	NOUN
ejpam-3012	267	33	components	component	NOUN
ejpam-3012	267	34	in	in	ADP
ejpam-3012	267	35	adjoining	adjoining	ADJ
ejpam-3012	267	36	h0	h0	NOUN
ejpam-3012	267	37	and	and	CCONJ
ejpam-3012	267	38	e0	e0	PROPN
ejpam-3012	267	39	distributions	distribution	NOUN
ejpam-3012	267	40	were	be	AUX
ejpam-3012	267	41	evaluated	evaluate	VERB
ejpam-3012	267	42	and	and	CCONJ
ejpam-3012	267	43	are	be	AUX
ejpam-3012	267	44	presented	present	VERB
ejpam-3012	267	45	graphically	graphically	ADV
ejpam-3012	267	46	.	.	PUNCT
ejpam-3012	268	1	these	these	DET
ejpam-3012	268	2	distributions	distribution	NOUN
ejpam-3012	268	3	are	be	AUX
ejpam-3012	268	4	shown	show	VERB
ejpam-3012	268	5	in	in	ADP
ejpam-3012	268	6	figs	fig	NOUN
ejpam-3012	268	7	.	.	PUNCT
ejpam-3012	269	1	217	217	NUM
ejpam-3012	269	2	.	.	PUNCT
ejpam-3012	270	1	comparisons	comparison	NOUN
ejpam-3012	270	2	among	among	ADP
ejpam-3012	270	3	different	different	ADJ
ejpam-3012	270	4	cases	case	NOUN
ejpam-3012	270	5	may	may	AUX
ejpam-3012	270	6	also	also	ADV
ejpam-3012	270	7	be	be	AUX
ejpam-3012	270	8	made	make	VERB
ejpam-3012	270	9	with	with	ADP
ejpam-3012	270	10	the	the	DET
ejpam-3012	270	11	help	help	NOUN
ejpam-3012	270	12	of	of	ADP
ejpam-3012	270	13	these	these	DET
ejpam-3012	270	14	figures	figure	NOUN
ejpam-3012	270	15	.	.	PUNCT
ejpam-3012	271	1	from	from	ADP
ejpam-3012	271	2	the	the	DET
ejpam-3012	271	3	figures	figure	NOUN
ejpam-3012	271	4	,	,	PUNCT
ejpam-3012	271	5	it	it	PRON
ejpam-3012	271	6	is	be	AUX
ejpam-3012	271	7	deduced	deduce	VERB
ejpam-3012	271	8	that	that	SCONJ
ejpam-3012	271	9	the	the	DET
ejpam-3012	271	10	field	field	NOUN
ejpam-3012	271	11	quantities	quantity	NOUN
ejpam-3012	271	12	depend	depend	VERB
ejpam-3012	271	13	not	not	PART
ejpam-3012	271	14	only	only	ADV
ejpam-3012	271	15	on	on	ADP
ejpam-3012	271	16	state	state	NOUN
ejpam-3012	271	17	and	and	CCONJ
ejpam-3012	271	18	space	space	NOUN
ejpam-3012	271	19	variables	variable	NOUN
ejpam-3012	271	20	t	t	PROPN
ejpam-3012	271	21	and	and	CCONJ
ejpam-3012	271	22	r	r	NOUN
ejpam-3012	271	23	,	,	PUNCT
ejpam-3012	271	24	but	but	CCONJ
ejpam-3012	271	25	also	also	ADV
ejpam-3012	271	26	depend	depend	VERB
ejpam-3012	271	27	on	on	ADP
ejpam-3012	271	28	variability	variability	NOUN
ejpam-3012	271	29	thermal	thermal	ADJ
ejpam-3012	271	30	conductivity	conductivity	NOUN
ejpam-3012	271	31	parameter	parameter	NOUN
ejpam-3012	271	32	,	,	PUNCT
ejpam-3012	271	33	the	the	DET
ejpam-3012	271	34	modified	modify	VERB
ejpam-3012	271	35	fourier	fourier	NOUN
ejpam-3012	271	36	’s	’s	PART
ejpam-3012	271	37	and	and	CCONJ
ejpam-3012	271	38	ohm	ohm	NOUN
ejpam-3012	271	39	’s	’s	PART
ejpam-3012	271	40	laws	law	NOUN
ejpam-3012	271	41	.	.	PUNCT
ejpam-3012	272	1	numerical	numerical	ADJ
ejpam-3012	272	2	computations	computation	NOUN
ejpam-3012	272	3	were	be	AUX
ejpam-3012	272	4	carried	carry	VERB
ejpam-3012	272	5	out	out	ADP
ejpam-3012	272	6	for	for	ADP
ejpam-3012	272	7	two	two	NUM
ejpam-3012	272	8	cases	case	NOUN
ejpam-3012	272	9	as	as	SCONJ
ejpam-3012	272	10	illustrated	illustrate	VERB
ejpam-3012	272	11	in	in	ADP
ejpam-3012	272	12	the	the	DET
ejpam-3012	272	13	following	following	NOUN
ejpam-3012	272	14	:	:	PUNCT
ejpam-3012	272	15	case	case	NOUN
ejpam-3012	272	16	i	i	PRON
ejpam-3012	272	17	investigates	investigate	VERB
ejpam-3012	272	18	dimensionless	dimensionless	ADJ
ejpam-3012	272	19	temperature	temperature	NOUN
ejpam-3012	272	20	,	,	PUNCT
ejpam-3012	272	21	displacement	displacement	NOUN
ejpam-3012	272	22	,	,	PUNCT
ejpam-3012	272	23	stresses	stress	VERB
ejpam-3012	272	24	maxwell	maxwell	PROPN
ejpam-3012	272	25	’s	’s	PART
ejpam-3012	272	26	stress	stress	NOUN
ejpam-3012	272	27	,	,	PUNCT
ejpam-3012	272	28	induced	induce	VERB
ejpam-3012	272	29	magnetic	magnetic	ADJ
ejpam-3012	272	30	field	field	NOUN
ejpam-3012	272	31	induced	induce	VERB
ejpam-3012	272	32	electric	electric	ADJ
ejpam-3012	272	33	field	field	NOUN
ejpam-3012	272	34	component	component	NOUN
ejpam-3012	272	35	,	,	PUNCT
ejpam-3012	272	36	induced	induce	VERB
ejpam-3012	272	37	field	field	NOUN
ejpam-3012	272	38	components	component	NOUN
ejpam-3012	272	39	in	in	ADP
ejpam-3012	272	40	the	the	DET
ejpam-3012	272	41	adjoining	adjoining	NOUN
ejpam-3012	272	42	with	with	ADP
ejpam-3012	272	43	different	different	ADJ
ejpam-3012	272	44	values	value	NOUN
ejpam-3012	272	45	of	of	ADP
ejpam-3012	272	46	variability	variability	NOUN
ejpam-3012	272	47	thermal	thermal	ADJ
ejpam-3012	272	48	conductivity	conductivity	NOUN
ejpam-3012	272	49	parameter	parameter	NOUN
ejpam-3012	272	50	k1	k1	PROPN
ejpam-3012	272	51	when	when	SCONJ
ejpam-3012	272	52	seebeck	seebeck	PROPN
ejpam-3012	272	53	parameter	parameter	PROPN
ejpam-3012	272	54	s	s	PROPN
ejpam-3012	272	55	,	,	PUNCT
ejpam-3012	272	56	pl	pl	PROPN
ejpam-3012	272	57	of	of	ADP
ejpam-3012	272	58	heat	heat	NOUN
ejpam-3012	272	59	flux	flux	NOUN
ejpam-3012	272	60	τq	τq	X
ejpam-3012	272	61	and	and	CCONJ
ejpam-3012	272	62	pl	pl	X
ejpam-3012	272	63	of	of	ADP
ejpam-3012	272	64	temperature	temperature	NOUN
ejpam-3012	272	65	gradient	gradient	NOUN
ejpam-3012	272	66	τθ	τθ	X
ejpam-3012	272	67	remain	remain	VERB
ejpam-3012	272	68	constants	constant	NOUN
ejpam-3012	272	69	.	.	PUNCT
ejpam-3012	273	1	case	case	NOUN
ejpam-3012	273	2	ii	ii	PROPN
ejpam-3012	273	3	illustrates	illustrate	VERB
ejpam-3012	273	4	dimensionless	dimensionless	ADJ
ejpam-3012	273	5	field	field	NOUN
ejpam-3012	273	6	quantities	quantity	NOUN
ejpam-3012	273	7	with	with	ADP
ejpam-3012	273	8	different	different	ADJ
ejpam-3012	273	9	values	value	NOUN
ejpam-3012	273	10	of	of	ADP
ejpam-3012	273	11	seebeck	seebeck	PROPN
ejpam-3012	273	12	parameter	parameter	PROPN
ejpam-3012	273	13	s	s	PROPN
ejpam-3012	273	14	when	when	SCONJ
ejpam-3012	273	15	variability	variability	NOUN
ejpam-3012	273	16	thermal	thermal	ADJ
ejpam-3012	273	17	conductivity	conductivity	NOUN
ejpam-3012	273	18	parameter	parameter	NOUN
ejpam-3012	273	19	k1	k1	PROPN
ejpam-3012	273	20	,	,	PUNCT
ejpam-3012	273	21	τq	τq	NUM
ejpam-3012	273	22	and	and	CCONJ
ejpam-3012	273	23	τθ	τθ	PROPN
ejpam-3012	273	24	remain	remain	VERB
ejpam-3012	273	25	constants	constant	NOUN
ejpam-3012	273	26	.	.	PUNCT
ejpam-3012	274	1	in	in	ADP
ejpam-3012	274	2	case	case	NOUN
ejpam-3012	274	3	i	i	PRON
ejpam-3012	274	4	,	,	PUNCT
ejpam-3012	274	5	three	three	NUM
ejpam-3012	274	6	different	different	ADJ
ejpam-3012	274	7	values	value	NOUN
ejpam-3012	274	8	of	of	ADP
ejpam-3012	274	9	variability	variability	NOUN
ejpam-3012	274	10	thermal	thermal	ADJ
ejpam-3012	274	11	conductivity	conductivity	NOUN
ejpam-3012	274	12	parameter	parameter	NOUN
ejpam-3012	274	13	k1	k1	NOUN
ejpam-3012	274	14	are	be	AUX
ejpam-3012	274	15	considered	consider	VERB
ejpam-3012	274	16	to	to	PART
ejpam-3012	274	17	discuss	discuss	VERB
ejpam-3012	274	18	effect	effect	NOUN
ejpam-3012	274	19	of	of	ADP
ejpam-3012	274	20	temperature	temperature	NOUN
ejpam-3012	274	21	on	on	ADP
ejpam-3012	274	22	thermal	thermal	ADJ
ejpam-3012	274	23	conductivity	conductivity	NOUN
ejpam-3012	274	24	.	.	PUNCT
ejpam-3012	275	1	we	we	PRON
ejpam-3012	275	2	take	take	VERB
ejpam-3012	275	3	k1	k1	NOUN
ejpam-3012	275	4	=	=	SYM
ejpam-3012	275	5	−0.25,−0.5	−0.25,−0.5	NOUN
ejpam-3012	275	6	for	for	ADP
ejpam-3012	275	7	variable	variable	ADJ
ejpam-3012	275	8	thermal	thermal	ADJ
ejpam-3012	275	9	conductivity	conductivity	NOUN
ejpam-3012	275	10	and	and	CCONJ
ejpam-3012	275	11	k1	k1	NOUN
ejpam-3012	275	12	=	=	SYM
ejpam-3012	275	13	0	0	PUNCT
ejpam-3012	275	14	when	when	SCONJ
ejpam-3012	275	15	thermal	thermal	ADJ
ejpam-3012	275	16	conductivity	conductivity	NOUN
ejpam-3012	275	17	is	be	AUX
ejpam-3012	275	18	temperature	temperature	NOUN
ejpam-3012	275	19	-	-	PUNCT
ejpam-3012	275	20	independent	independent	ADJ
ejpam-3012	275	21	.	.	PUNCT
ejpam-3012	275	22	seebeck	seebeck	PROPN
ejpam-3012	275	23	parameter	parameter	PROPN
ejpam-3012	275	24	and	and	CCONJ
ejpam-3012	275	25	other	other	ADJ
ejpam-3012	275	26	parameters	parameter	NOUN
ejpam-3012	275	27	are	be	AUX
ejpam-3012	275	28	fixed	fix	VERB
ejpam-3012	275	29	to	to	PART
ejpam-3012	275	30	be	be	AUX
ejpam-3012	275	31	s	s	NOUN
ejpam-3012	275	32	=	=	NOUN
ejpam-3012	275	33	0.5	0.5	NUM
ejpam-3012	275	34	,	,	PUNCT
ejpam-3012	275	35	τq	τq	VERB
ejpam-3012	275	36	=	=	NOUN
ejpam-3012	275	37	0.2	0.2	NUM
ejpam-3012	275	38	and	and	CCONJ
ejpam-3012	275	39	τθ	τθ	X
ejpam-3012	275	40	=	=	NOUN
ejpam-3012	275	41	0.1	0.1	NUM
ejpam-3012	275	42	.	.	PUNCT
ejpam-3012	276	1	it	it	PRON
ejpam-3012	276	2	is	be	AUX
ejpam-3012	276	3	obvious	obvious	ADJ
ejpam-3012	276	4	from	from	ADP
ejpam-3012	276	5	figs	fig	NOUN
ejpam-3012	276	6	.	.	PUNCT
ejpam-3012	277	1	2	2	NUM
ejpam-3012	277	2	-	-	SYM
ejpam-3012	277	3	9	9	NUM
ejpam-3012	277	4	that	that	SCONJ
ejpam-3012	277	5	k1	k1	NOUN
ejpam-3012	277	6	has	have	VERB
ejpam-3012	277	7	significant	significant	ADJ
ejpam-3012	277	8	effects	effect	NOUN
ejpam-3012	277	9	on	on	ADP
ejpam-3012	277	10	all	all	DET
ejpam-3012	277	11	field	field	NOUN
ejpam-3012	277	12	quantities	quantity	NOUN
ejpam-3012	277	13	.	.	PUNCT
ejpam-3012	278	1	figure	figure	NOUN
ejpam-3012	278	2	2	2	NUM
ejpam-3012	278	3	describes	describe	VERB
ejpam-3012	278	4	variation	variation	NOUN
ejpam-3012	278	5	of	of	ADP
ejpam-3012	278	6	temperature	temperature	NOUN
ejpam-3012	278	7	θ	θ	PROPN
ejpam-3012	278	8	versus	versus	ADP
ejpam-3012	278	9	radial	radial	ADJ
ejpam-3012	278	10	distance	distance	NOUN
ejpam-3012	278	11	r.	r.	NOUN
ejpam-3012	278	12	it	it	PRON
ejpam-3012	278	13	is	be	AUX
ejpam-3012	278	14	seen	see	VERB
ejpam-3012	278	15	that	that	SCONJ
ejpam-3012	278	16	θ	θ	PROPN
ejpam-3012	278	17	is	be	AUX
ejpam-3012	278	18	not	not	PART
ejpam-3012	278	19	vanished	vanish	VERB
ejpam-3012	278	20	only	only	ADV
ejpam-3012	278	21	in	in	ADP
ejpam-3012	278	22	a	a	DET
ejpam-3012	278	23	bounded	bounded	ADJ
ejpam-3012	278	24	region	region	NOUN
ejpam-3012	278	25	of	of	ADP
ejpam-3012	278	26	space	space	NOUN
ejpam-3012	278	27	at	at	ADP
ejpam-3012	278	28	a	a	DET
ejpam-3012	278	29	given	give	VERB
ejpam-3012	278	30	instant	instant	NOUN
ejpam-3012	278	31	.	.	PUNCT
ejpam-3012	279	1	however	however	ADV
ejpam-3012	279	2	,	,	PUNCT
ejpam-3012	279	3	outside	outside	ADP
ejpam-3012	279	4	this	this	DET
ejpam-3012	279	5	region	region	NOUN
ejpam-3012	279	6	,	,	PUNCT
ejpam-3012	279	7	θ	θ	PROPN
ejpam-3012	279	8	is	be	AUX
ejpam-3012	279	9	vanished	vanish	VERB
ejpam-3012	279	10	and	and	CCONJ
ejpam-3012	279	11	this	this	PRON
ejpam-3012	279	12	means	mean	VERB
ejpam-3012	279	13	that	that	SCONJ
ejpam-3012	279	14	region	region	NOUN
ejpam-3012	279	15	has	have	AUX
ejpam-3012	279	16	not	not	PART
ejpam-3012	279	17	felt	feel	VERB
ejpam-3012	279	18	thermal	thermal	ADJ
ejpam-3012	279	19	disturbance	disturbance	NOUN
ejpam-3012	279	20	yet	yet	ADV
ejpam-3012	279	21	.	.	PUNCT
ejpam-3012	280	1	figure	figure	VERB
ejpam-3012	280	2	3	3	NUM
ejpam-3012	280	3	plots	plot	NOUN
ejpam-3012	280	4	displacement	displacement	ADJ
ejpam-3012	280	5	u	u	NOUN
ejpam-3012	280	6	against	against	ADP
ejpam-3012	280	7	r.	r.	PROPN
ejpam-3012	280	8	the	the	DET
ejpam-3012	280	9	displacement	displacement	NOUN
ejpam-3012	280	10	gets	get	VERB
ejpam-3012	280	11	its	its	PRON
ejpam-3012	280	12	maximum	maximum	ADJ
ejpam-3012	280	13	magnitudes	magnitude	NOUN
ejpam-3012	280	14	at	at	ADP
ejpam-3012	280	15	the	the	DET
ejpam-3012	280	16	boundary	boundary	NOUN
ejpam-3012	280	17	where	where	SCONJ
ejpam-3012	280	18	thermal	thermal	ADJ
ejpam-3012	280	19	shock	shock	NOUN
ejpam-3012	280	20	is	be	AUX
ejpam-3012	280	21	applied	apply	VERB
ejpam-3012	280	22	.	.	PUNCT
ejpam-3012	281	1	it	it	PRON
ejpam-3012	281	2	is	be	AUX
ejpam-3012	281	3	seen	see	VERB
ejpam-3012	281	4	that	that	SCONJ
ejpam-3012	281	5	medium	medium	NOUN
ejpam-3012	281	6	adjacent	adjacent	ADJ
ejpam-3012	281	7	to	to	ADP
ejpam-3012	281	8	cylindrical	cylindrical	ADJ
ejpam-3012	281	9	surface	surface	NOUN
ejpam-3012	281	10	undergoes	undergoe	NOUN
ejpam-3012	281	11	expansion	expansion	NOUN
ejpam-3012	281	12	deformation	deformation	NOUN
ejpam-3012	281	13	due	due	ADP
ejpam-3012	281	14	to	to	ADP
ejpam-3012	281	15	thermal	thermal	ADJ
ejpam-3012	281	16	shock	shock	NOUN
ejpam-3012	281	17	while	while	SCONJ
ejpam-3012	281	18	others	other	NOUN
ejpam-3012	281	19	compressive	compressive	VERB
ejpam-3012	281	20	deformation	deformation	NOUN
ejpam-3012	281	21	.	.	PUNCT
ejpam-3012	282	1	in	in	ADP
ejpam-3012	282	2	fig	fig	NOUN
ejpam-3012	282	3	.	.	PUNCT
ejpam-3012	283	1	4	4	NUM
ejpam-3012	283	2	,	,	PUNCT
ejpam-3012	283	3	radial	radial	ADJ
ejpam-3012	283	4	stress	stress	NOUN
ejpam-3012	283	5	σrr	σrr	NOUN
ejpam-3012	283	6	at	at	ADP
ejpam-3012	283	7	cylindrical	cylindrical	ADJ
ejpam-3012	283	8	surface	surface	NOUN
ejpam-3012	283	9	is	be	AUX
ejpam-3012	283	10	always	always	ADV
ejpam-3012	283	11	zero	zero	NUM
ejpam-3012	283	12	since	since	SCONJ
ejpam-3012	283	13	the	the	DET
ejpam-3012	283	14	surface	surface	NOUN
ejpam-3012	283	15	is	be	AUX
ejpam-3012	283	16	traction	traction	NOUN
ejpam-3012	283	17	free	free	ADJ
ejpam-3012	283	18	.	.	PUNCT
ejpam-3012	284	1	the	the	DET
ejpam-3012	284	2	medium	medium	ADJ
ejpam-3012	284	3	close	close	ADJ
ejpam-3012	284	4	to	to	ADP
ejpam-3012	284	5	cylindrical	cylindrical	ADJ
ejpam-3012	284	6	surface	surface	NOUN
ejpam-3012	284	7	suffers	suffer	VERB
ejpam-3012	284	8	from	from	ADP
ejpam-3012	284	9	tensile	tensile	NOUN
ejpam-3012	284	10	stress	stress	NOUN
ejpam-3012	284	11	.	.	PUNCT
ejpam-3012	285	1	also	also	ADV
ejpam-3012	285	2	,	,	PUNCT
ejpam-3012	285	3	it	it	PRON
ejpam-3012	285	4	is	be	AUX
ejpam-3012	285	5	clear	clear	ADJ
ejpam-3012	285	6	that	that	SCONJ
ejpam-3012	285	7	tensile	tensile	NOUN
ejpam-3012	285	8	stress	stress	NOUN
ejpam-3012	285	9	region	region	NOUN
ejpam-3012	285	10	becomes	become	VERB
ejpam-3012	285	11	larger	large	ADJ
ejpam-3012	285	12	while	while	SCONJ
ejpam-3012	285	13	compressed	compressed	ADJ
ejpam-3012	285	14	becomes	become	VERB
ejpam-3012	285	15	smaller	small	ADJ
ejpam-3012	285	16	with	with	ADP
ejpam-3012	285	17	passage	passage	NOUN
ejpam-3012	285	18	of	of	ADP
ejpam-3012	285	19	time	time	NOUN
ejpam-3012	285	20	.	.	PUNCT
ejpam-3012	286	1	moreover	moreover	ADV
ejpam-3012	286	2	,	,	PUNCT
ejpam-3012	286	3	fig	fig	NOUN
ejpam-3012	286	4	.	.	PUNCT
ejpam-3012	286	5	4	4	NUM
ejpam-3012	286	6	shows	show	VERB
ejpam-3012	286	7	that	that	SCONJ
ejpam-3012	286	8	at	at	ADP
ejpam-3012	286	9	some	some	DET
ejpam-3012	286	10	instant	instant	ADJ
ejpam-3012	286	11	non	non	ADJ
ejpam-3012	286	12	-	-	ADJ
ejpam-3012	286	13	zero	zero	NUM
ejpam-3012	286	14	region	region	NOUN
ejpam-3012	286	15	of	of	ADP
ejpam-3012	286	16	stress	stress	NOUN
ejpam-3012	286	17	is	be	AUX
ejpam-3012	286	18	finite	finite	NOUN
ejpam-3012	286	19	which	which	PRON
ejpam-3012	286	20	indirectly	indirectly	ADV
ejpam-3012	286	21	proves	prove	VERB
ejpam-3012	286	22	wave	wave	NOUN
ejpam-3012	286	23	effect	effect	NOUN
ejpam-3012	286	24	of	of	ADP
ejpam-3012	286	25	heat	heat	NOUN
ejpam-3012	286	26	.	.	PUNCT
ejpam-3012	287	1	a.	a.	PROPN
ejpam-3012	287	2	m.	m.	NOUN
ejpam-3012	287	3	zenkour	zenkour	PROPN
ejpam-3012	287	4	et	et	PROPN
ejpam-3012	287	5	al	al	PROPN
ejpam-3012	287	6	.	.	PUNCT
ejpam-3012	287	7	/	/	SYM
ejpam-3012	287	8	eur	eur	PROPN
ejpam-3012	287	9	.	.	PUNCT
ejpam-3012	288	1	j.	j.	PROPN
ejpam-3012	288	2	pure	pure	PROPN
ejpam-3012	288	3	appl	appl	PROPN
ejpam-3012	288	4	.	.	PROPN
ejpam-3012	288	5	math	math	PROPN
ejpam-3012	288	6	,	,	PUNCT
ejpam-3012	288	7	10	10	NUM
ejpam-3012	288	8	(	(	PUNCT
ejpam-3012	288	9	4	4	NUM
ejpam-3012	288	10	)	)	PUNCT
ejpam-3012	288	11	(	(	PUNCT
ejpam-3012	288	12	2017	2017	NUM
ejpam-3012	288	13	)	)	PUNCT
ejpam-3012	288	14	,	,	PUNCT
ejpam-3012	288	15	786	786	NUM
ejpam-3012	288	16	-	-	SYM
ejpam-3012	288	17	808	808	NUM
ejpam-3012	288	18	800	800	NUM
ejpam-3012	288	19	figure	figure	NOUN
ejpam-3012	288	20	2	2	NUM
ejpam-3012	288	21	:	:	PUNCT
ejpam-3012	288	22	distribution	distribution	NOUN
ejpam-3012	288	23	of	of	ADP
ejpam-3012	288	24	θ	θ	PROPN
ejpam-3012	288	25	along	along	ADP
ejpam-3012	288	26	the	the	DET
ejpam-3012	288	27	radial	radial	ADJ
ejpam-3012	288	28	direction	direction	NOUN
ejpam-3012	288	29	of	of	ADP
ejpam-3012	288	30	the	the	DET
ejpam-3012	288	31	solid	solid	ADJ
ejpam-3012	288	32	cylinder	cylinder	NOUN
ejpam-3012	288	33	for	for	ADP
ejpam-3012	288	34	different	different	ADJ
ejpam-3012	288	35	values	value	NOUN
ejpam-3012	288	36	of	of	ADP
ejpam-3012	288	37	k1	k1	ADJ
ejpam-3012	288	38	figure	figure	NOUN
ejpam-3012	288	39	3	3	NUM
ejpam-3012	288	40	:	:	PUNCT
ejpam-3012	288	41	distribution	distribution	NOUN
ejpam-3012	288	42	of	of	ADP
ejpam-3012	288	43	u	u	NOUN
ejpam-3012	288	44	along	along	ADP
ejpam-3012	288	45	the	the	DET
ejpam-3012	288	46	radial	radial	ADJ
ejpam-3012	288	47	direction	direction	NOUN
ejpam-3012	288	48	of	of	ADP
ejpam-3012	288	49	the	the	DET
ejpam-3012	288	50	solid	solid	ADJ
ejpam-3012	288	51	cylinder	cylinder	NOUN
ejpam-3012	288	52	for	for	ADP
ejpam-3012	288	53	different	different	ADJ
ejpam-3012	288	54	values	value	NOUN
ejpam-3012	288	55	of	of	ADP
ejpam-3012	288	56	k1	k1	ADJ
ejpam-3012	288	57	figure	figure	NOUN
ejpam-3012	288	58	4	4	NUM
ejpam-3012	288	59	:	:	PUNCT
ejpam-3012	288	60	distribution	distribution	NOUN
ejpam-3012	288	61	of	of	ADP
ejpam-3012	288	62	σrr	σrr	NOUN
ejpam-3012	288	63	along	along	ADP
ejpam-3012	288	64	the	the	DET
ejpam-3012	288	65	radial	radial	ADJ
ejpam-3012	288	66	direction	direction	NOUN
ejpam-3012	288	67	of	of	ADP
ejpam-3012	288	68	the	the	DET
ejpam-3012	288	69	solid	solid	ADJ
ejpam-3012	288	70	cylinder	cylinder	NOUN
ejpam-3012	288	71	for	for	ADP
ejpam-3012	288	72	different	different	ADJ
ejpam-3012	288	73	values	value	NOUN
ejpam-3012	288	74	of	of	ADP
ejpam-3012	288	75	k1	k1	NOUN
ejpam-3012	288	76	figures	figure	NOUN
ejpam-3012	288	77	5	5	NUM
ejpam-3012	288	78	and	and	CCONJ
ejpam-3012	288	79	6	6	NUM
ejpam-3012	288	80	illustrate	illustrate	VERB
ejpam-3012	288	81	the	the	DET
ejpam-3012	288	82	induced	induced	ADJ
ejpam-3012	288	83	magnetic	magnetic	ADJ
ejpam-3012	288	84	field	field	NOUN
ejpam-3012	288	85	and	and	CCONJ
ejpam-3012	288	86	electric	electric	ADJ
ejpam-3012	288	87	field	field	NOUN
ejpam-3012	288	88	distribution	distribution	NOUN
ejpam-3012	288	89	effects	effect	NOUN
ejpam-3012	288	90	.	.	PUNCT
ejpam-3012	289	1	it	it	PRON
ejpam-3012	289	2	is	be	AUX
ejpam-3012	289	3	well	well	ADV
ejpam-3012	289	4	known	know	VERB
ejpam-3012	289	5	that	that	SCONJ
ejpam-3012	289	6	electromagnetic	electromagnetic	ADJ
ejpam-3012	289	7	medium	medium	NOUN
ejpam-3012	289	8	is	be	AUX
ejpam-3012	289	9	placed	place	VERB
ejpam-3012	289	10	in	in	ADP
ejpam-3012	289	11	initial	initial	ADJ
ejpam-3012	289	12	magnetic	magnetic	ADJ
ejpam-3012	289	13	field	field	NOUN
ejpam-3012	289	14	,	,	PUNCT
ejpam-3012	289	15	and	and	CCONJ
ejpam-3012	289	16	it	it	PRON
ejpam-3012	289	17	deforms	deform	VERB
ejpam-3012	289	18	due	due	ADP
ejpam-3012	289	19	to	to	ADP
ejpam-3012	289	20	thermal	thermal	ADJ
ejpam-3012	289	21	shock	shock	NOUN
ejpam-3012	289	22	.	.	PUNCT
ejpam-3012	290	1	a.	a.	PROPN
ejpam-3012	290	2	m.	m.	NOUN
ejpam-3012	290	3	zenkour	zenkour	PROPN
ejpam-3012	290	4	et	et	PROPN
ejpam-3012	290	5	al	al	PROPN
ejpam-3012	290	6	.	.	PUNCT
ejpam-3012	290	7	/	/	SYM
ejpam-3012	290	8	eur	eur	PROPN
ejpam-3012	290	9	.	.	PUNCT
ejpam-3012	291	1	j.	j.	PROPN
ejpam-3012	291	2	pure	pure	PROPN
ejpam-3012	291	3	appl	appl	PROPN
ejpam-3012	291	4	.	.	PROPN
ejpam-3012	291	5	math	math	PROPN
ejpam-3012	291	6	,	,	PUNCT
ejpam-3012	291	7	10	10	NUM
ejpam-3012	291	8	(	(	PUNCT
ejpam-3012	291	9	4	4	NUM
ejpam-3012	291	10	)	)	PUNCT
ejpam-3012	291	11	(	(	PUNCT
ejpam-3012	291	12	2017	2017	NUM
ejpam-3012	291	13	)	)	PUNCT
ejpam-3012	291	14	,	,	PUNCT
ejpam-3012	291	15	786	786	NUM
ejpam-3012	291	16	-	-	SYM
ejpam-3012	291	17	808	808	NUM
ejpam-3012	291	18	801	801	NUM
ejpam-3012	291	19	figure	figure	NOUN
ejpam-3012	291	20	5	5	NUM
ejpam-3012	291	21	:	:	PUNCT
ejpam-3012	291	22	distribution	distribution	NOUN
ejpam-3012	291	23	of	of	ADP
ejpam-3012	291	24	h	h	NOUN
ejpam-3012	291	25	along	along	ADP
ejpam-3012	291	26	the	the	DET
ejpam-3012	291	27	radial	radial	ADJ
ejpam-3012	291	28	direction	direction	NOUN
ejpam-3012	291	29	of	of	ADP
ejpam-3012	291	30	the	the	DET
ejpam-3012	291	31	solid	solid	ADJ
ejpam-3012	291	32	cylinder	cylinder	NOUN
ejpam-3012	291	33	for	for	ADP
ejpam-3012	291	34	different	different	ADJ
ejpam-3012	291	35	values	value	NOUN
ejpam-3012	291	36	of	of	ADP
ejpam-3012	291	37	k1	k1	ADJ
ejpam-3012	291	38	figure	figure	NOUN
ejpam-3012	291	39	6	6	NUM
ejpam-3012	291	40	:	:	PUNCT
ejpam-3012	291	41	distribution	distribution	NOUN
ejpam-3012	291	42	of	of	ADP
ejpam-3012	291	43	e	e	PROPN
ejpam-3012	291	44	along	along	ADP
ejpam-3012	291	45	the	the	DET
ejpam-3012	291	46	radial	radial	ADJ
ejpam-3012	291	47	direction	direction	NOUN
ejpam-3012	291	48	of	of	ADP
ejpam-3012	291	49	the	the	DET
ejpam-3012	291	50	solid	solid	ADJ
ejpam-3012	291	51	cylinder	cylinder	NOUN
ejpam-3012	291	52	for	for	ADP
ejpam-3012	291	53	different	different	ADJ
ejpam-3012	291	54	values	value	NOUN
ejpam-3012	291	55	of	of	ADP
ejpam-3012	291	56	k1	k1	ADJ
ejpam-3012	291	57	figure	figure	NOUN
ejpam-3012	291	58	7	7	NUM
ejpam-3012	291	59	:	:	PUNCT
ejpam-3012	291	60	distribution	distribution	NOUN
ejpam-3012	291	61	of	of	ADP
ejpam-3012	291	62	h0	h0	NOUN
ejpam-3012	291	63	along	along	ADP
ejpam-3012	291	64	the	the	DET
ejpam-3012	291	65	radial	radial	ADJ
ejpam-3012	291	66	direction	direction	NOUN
ejpam-3012	291	67	of	of	ADP
ejpam-3012	291	68	the	the	DET
ejpam-3012	291	69	solid	solid	ADJ
ejpam-3012	291	70	cylinder	cylinder	NOUN
ejpam-3012	291	71	for	for	ADP
ejpam-3012	291	72	different	different	ADJ
ejpam-3012	291	73	values	value	NOUN
ejpam-3012	291	74	of	of	ADP
ejpam-3012	291	75	k1	k1	PROPN
ejpam-3012	291	76	figures	figure	NOUN
ejpam-3012	291	77	7	7	NUM
ejpam-3012	291	78	and	and	CCONJ
ejpam-3012	291	79	8	8	NUM
ejpam-3012	291	80	give	give	VERB
ejpam-3012	291	81	the	the	DET
ejpam-3012	291	82	variations	variation	NOUN
ejpam-3012	291	83	of	of	ADP
ejpam-3012	291	84	induced	induced	ADJ
ejpam-3012	291	85	field	field	NOUN
ejpam-3012	291	86	components	component	NOUN
ejpam-3012	291	87	in	in	ADP
ejpam-3012	291	88	the	the	DET
ejpam-3012	291	89	adjoining	adjoining	ADJ
ejpam-3012	291	90	h0	h0	NOUN
ejpam-3012	291	91	and	and	CCONJ
ejpam-3012	291	92	e0	e0	PROPN
ejpam-3012	291	93	distributions	distribution	NOUN
ejpam-3012	291	94	against	against	ADP
ejpam-3012	291	95	distance	distance	NOUN
ejpam-3012	291	96	for	for	ADP
ejpam-3012	291	97	various	various	ADJ
ejpam-3012	291	98	values	value	NOUN
ejpam-3012	291	99	of	of	ADP
ejpam-3012	291	100	variability	variability	NOUN
ejpam-3012	291	101	thermal	thermal	ADJ
ejpam-3012	291	102	conductivity	conductivity	NOUN
ejpam-3012	291	103	coefficient	coefficient	NOUN
ejpam-3012	291	104	.	.	PUNCT
ejpam-3012	292	1	it	it	PRON
ejpam-3012	292	2	is	be	AUX
ejpam-3012	292	3	observed	observe	VERB
ejpam-3012	292	4	from	from	ADP
ejpam-3012	292	5	the	the	DET
ejpam-3012	292	6	gures	gure	NOUN
ejpam-3012	292	7	that	that	SCONJ
ejpam-3012	292	8	these	these	DET
ejpam-3012	292	9	distributions	distribution	NOUN
ejpam-3012	292	10	are	be	AUX
ejpam-3012	292	11	increase	increase	NOUN
ejpam-3012	292	12	with	with	ADP
ejpam-3012	292	13	distance	distance	NOUN
ejpam-3012	292	14	a.	a.	NOUN
ejpam-3012	292	15	m.	m.	NOUN
ejpam-3012	292	16	zenkour	zenkour	PROPN
ejpam-3012	292	17	et	et	PROPN
ejpam-3012	292	18	al	al	PROPN
ejpam-3012	293	1	.	.	PUNCT
ejpam-3012	293	2	/	/	SYM
ejpam-3012	293	3	eur	eur	PROPN
ejpam-3012	293	4	.	.	PUNCT
ejpam-3012	294	1	j.	j.	PROPN
ejpam-3012	294	2	pure	pure	PROPN
ejpam-3012	294	3	appl	appl	PROPN
ejpam-3012	294	4	.	.	PROPN
ejpam-3012	294	5	math	math	PROPN
ejpam-3012	294	6	,	,	PUNCT
ejpam-3012	294	7	10	10	NUM
ejpam-3012	294	8	(	(	PUNCT
ejpam-3012	294	9	4	4	NUM
ejpam-3012	294	10	)	)	PUNCT
ejpam-3012	294	11	(	(	PUNCT
ejpam-3012	294	12	2017	2017	NUM
ejpam-3012	294	13	)	)	PUNCT
ejpam-3012	294	14	,	,	PUNCT
ejpam-3012	294	15	786	786	NUM
ejpam-3012	294	16	-	-	SYM
ejpam-3012	294	17	808	808	NUM
ejpam-3012	294	18	802	802	NUM
ejpam-3012	294	19	figure	figure	NOUN
ejpam-3012	294	20	8	8	NUM
ejpam-3012	294	21	:	:	PUNCT
ejpam-3012	294	22	distribution	distribution	NOUN
ejpam-3012	294	23	of	of	ADP
ejpam-3012	294	24	e0	e0	PROPN
ejpam-3012	294	25	along	along	ADP
ejpam-3012	294	26	the	the	DET
ejpam-3012	294	27	radial	radial	ADJ
ejpam-3012	294	28	direction	direction	NOUN
ejpam-3012	294	29	of	of	ADP
ejpam-3012	294	30	the	the	DET
ejpam-3012	294	31	solid	solid	ADJ
ejpam-3012	294	32	cylinder	cylinder	NOUN
ejpam-3012	294	33	for	for	ADP
ejpam-3012	294	34	different	different	ADJ
ejpam-3012	294	35	values	value	NOUN
ejpam-3012	294	36	of	of	ADP
ejpam-3012	294	37	k1	k1	NOUN
ejpam-3012	294	38	and	and	CCONJ
ejpam-3012	294	39	takes	take	VERB
ejpam-3012	294	40	negative	negative	ADJ
ejpam-3012	294	41	values	value	NOUN
ejpam-3012	294	42	.	.	PUNCT
ejpam-3012	295	1	figure	figure	VERB
ejpam-3012	295	2	9	9	NUM
ejpam-3012	295	3	:	:	PUNCT
ejpam-3012	295	4	distribution	distribution	NOUN
ejpam-3012	295	5	of	of	ADP
ejpam-3012	295	6	mrr	mrr	NOUN
ejpam-3012	295	7	along	along	ADP
ejpam-3012	295	8	the	the	DET
ejpam-3012	295	9	radial	radial	ADJ
ejpam-3012	295	10	direction	direction	NOUN
ejpam-3012	295	11	of	of	ADP
ejpam-3012	295	12	the	the	DET
ejpam-3012	295	13	solid	solid	ADJ
ejpam-3012	295	14	cylinder	cylinder	NOUN
ejpam-3012	295	15	for	for	ADP
ejpam-3012	295	16	different	different	ADJ
ejpam-3012	295	17	values	value	NOUN
ejpam-3012	295	18	of	of	ADP
ejpam-3012	295	19	k1	k1	ADJ
ejpam-3012	295	20	figure	figure	NOUN
ejpam-3012	295	21	9	9	NUM
ejpam-3012	295	22	depicts	depict	VERB
ejpam-3012	295	23	the	the	DET
ejpam-3012	295	24	variation	variation	NOUN
ejpam-3012	295	25	of	of	ADP
ejpam-3012	295	26	maxwell	maxwell	PROPN
ejpam-3012	295	27	’s	’s	PART
ejpam-3012	295	28	stress	stress	PROPN
ejpam-3012	295	29	mrr	mrr	PROPN
ejpam-3012	295	30	along	along	ADP
ejpam-3012	295	31	the	the	DET
ejpam-3012	295	32	radial	radial	ADJ
ejpam-3012	295	33	distance	distance	NOUN
ejpam-3012	295	34	r	r	NOUN
ejpam-3012	295	35	of	of	ADP
ejpam-3012	295	36	the	the	DET
ejpam-3012	295	37	cylinder	cylinder	NOUN
ejpam-3012	295	38	.	.	PUNCT
ejpam-3012	296	1	this	this	DET
ejpam-3012	296	2	figure	figure	NOUN
ejpam-3012	296	3	shows	show	VERB
ejpam-3012	296	4	the	the	DET
ejpam-3012	296	5	difference	difference	NOUN
ejpam-3012	296	6	between	between	ADP
ejpam-3012	296	7	generalized	generalized	ADJ
ejpam-3012	296	8	theory	theory	NOUN
ejpam-3012	296	9	of	of	ADP
ejpam-3012	296	10	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	296	11	with	with	ADP
ejpam-3012	296	12	constant	constant	ADJ
ejpam-3012	296	13	thermal	thermal	ADJ
ejpam-3012	296	14	conductivity	conductivity	NOUN
ejpam-3012	296	15	and	and	CCONJ
ejpam-3012	296	16	those	those	PRON
ejpam-3012	296	17	of	of	ADP
ejpam-3012	296	18	variable	variable	ADJ
ejpam-3012	296	19	thermal	thermal	ADJ
ejpam-3012	296	20	conductivity	conductivity	NOUN
ejpam-3012	296	21	.	.	PUNCT
ejpam-3012	297	1	it	it	PRON
ejpam-3012	297	2	is	be	AUX
ejpam-3012	297	3	noted	note	VERB
ejpam-3012	297	4	that	that	SCONJ
ejpam-3012	297	5	as	as	SCONJ
ejpam-3012	297	6	parameter	parameter	PROPN
ejpam-3012	297	7	k1	k1	PROPN
ejpam-3012	297	8	increases	increase	VERB
ejpam-3012	297	9	effective	effective	ADJ
ejpam-3012	297	10	region	region	NOUN
ejpam-3012	297	11	is	be	AUX
ejpam-3012	297	12	decreased	decrease	VERB
ejpam-3012	297	13	.	.	PUNCT
ejpam-3012	298	1	it	it	PRON
ejpam-3012	298	2	is	be	AUX
ejpam-3012	298	3	obvious	obvious	ADJ
ejpam-3012	298	4	that	that	SCONJ
ejpam-3012	298	5	change	change	NOUN
ejpam-3012	298	6	of	of	ADP
ejpam-3012	298	7	thermal	thermal	ADJ
ejpam-3012	298	8	conductivity	conductivity	NOUN
ejpam-3012	298	9	has	have	VERB
ejpam-3012	298	10	very	very	ADV
ejpam-3012	298	11	small	small	ADJ
ejpam-3012	298	12	effect	effect	NOUN
ejpam-3012	298	13	on	on	ADP
ejpam-3012	298	14	induced	induced	ADJ
ejpam-3012	298	15	electric	electric	ADJ
ejpam-3012	298	16	field	field	NOUN
ejpam-3012	298	17	component	component	NOUN
ejpam-3012	298	18	e.	e.	PROPN
ejpam-3012	298	19	its	its	PRON
ejpam-3012	298	20	effect	effect	NOUN
ejpam-3012	298	21	on	on	ADP
ejpam-3012	298	22	the	the	DET
ejpam-3012	298	23	other	other	ADJ
ejpam-3012	298	24	functions	function	NOUN
ejpam-3012	298	25	considered	consider	VERB
ejpam-3012	298	26	is	be	AUX
ejpam-3012	298	27	more	more	ADV
ejpam-3012	298	28	noticeable	noticeable	ADJ
ejpam-3012	298	29	.	.	PUNCT
ejpam-3012	299	1	the	the	DET
ejpam-3012	299	2	increases	increase	NOUN
ejpam-3012	299	3	in	in	ADP
ejpam-3012	299	4	conductivity	conductivity	NOUN
ejpam-3012	299	5	tends	tend	VERB
ejpam-3012	299	6	to	to	PART
ejpam-3012	299	7	increase	increase	VERB
ejpam-3012	299	8	absolute	absolute	ADJ
ejpam-3012	299	9	value	value	NOUN
ejpam-3012	299	10	of	of	ADP
ejpam-3012	299	11	temperature	temperature	NOUN
ejpam-3012	299	12	θ	θ	NOUN
ejpam-3012	299	13	,	,	PUNCT
ejpam-3012	299	14	radial	radial	ADJ
ejpam-3012	299	15	stress	stress	NOUN
ejpam-3012	299	16	σrr	σrr	NOUN
ejpam-3012	299	17	,	,	PUNCT
ejpam-3012	299	18	induced	induce	VERB
ejpam-3012	299	19	electric	electric	ADJ
ejpam-3012	299	20	field	field	NOUN
ejpam-3012	299	21	component	component	NOUN
ejpam-3012	299	22	e	e	NOUN
ejpam-3012	299	23	,	,	PUNCT
ejpam-3012	299	24	induced	induce	VERB
ejpam-3012	299	25	field	field	NOUN
ejpam-3012	299	26	components	component	NOUN
ejpam-3012	299	27	in	in	ADP
ejpam-3012	299	28	the	the	DET
ejpam-3012	299	29	adjoining	adjoining	ADJ
ejpam-3012	299	30	h0	h0	NOUN
ejpam-3012	299	31	and	and	CCONJ
ejpam-3012	299	32	e0	e0	PROPN
ejpam-3012	299	33	and	and	CCONJ
ejpam-3012	299	34	maxwell	maxwell	PROPN
ejpam-3012	299	35	’s	’s	PART
ejpam-3012	299	36	stress	stress	PROPN
ejpam-3012	299	37	mrr	mrr	PROPN
ejpam-3012	299	38	.	.	PUNCT
ejpam-3012	300	1	in	in	ADP
ejpam-3012	300	2	case	case	NOUN
ejpam-3012	300	3	ii	ii	PROPN
ejpam-3012	300	4	,	,	PUNCT
ejpam-3012	300	5	the	the	DET
ejpam-3012	300	6	distributions	distribution	NOUN
ejpam-3012	300	7	of	of	ADP
ejpam-3012	300	8	temperature	temperature	NOUN
ejpam-3012	300	9	θ	θ	NOUN
ejpam-3012	300	10	,	,	PUNCT
ejpam-3012	300	11	radial	radial	ADJ
ejpam-3012	300	12	displacement	displacement	ADJ
ejpam-3012	300	13	u	u	NOUN
ejpam-3012	300	14	,	,	PUNCT
ejpam-3012	300	15	stress	stress	NOUN
ejpam-3012	300	16	component	component	NOUN
ejpam-3012	300	17	σrr	σrr	PROPN
ejpam-3012	300	18	,	,	PUNCT
ejpam-3012	300	19	maxwell	maxwell	PROPN
ejpam-3012	300	20	’s	’s	PART
ejpam-3012	300	21	stress	stress	PROPN
ejpam-3012	300	22	mrr	mrr	PROPN
ejpam-3012	300	23	,	,	PUNCT
ejpam-3012	300	24	induced	induce	VERB
ejpam-3012	300	25	magnetic	magnetic	ADJ
ejpam-3012	300	26	h	h	NOUN
ejpam-3012	300	27	and	and	CCONJ
ejpam-3012	300	28	electric	electric	PROPN
ejpam-3012	300	29	e	e	NOUN
ejpam-3012	300	30	fields	field	NOUN
ejpam-3012	300	31	,	,	PUNCT
ejpam-3012	300	32	and	and	CCONJ
ejpam-3012	300	33	induced	induce	VERB
ejpam-3012	300	34	field	field	NOUN
ejpam-3012	300	35	components	component	NOUN
ejpam-3012	300	36	in	in	ADP
ejpam-3012	300	37	adjoining	adjoining	ADJ
ejpam-3012	300	38	h0	h0	NOUN
ejpam-3012	300	39	and	and	CCONJ
ejpam-3012	300	40	e0	e0	PROPN
ejpam-3012	300	41	distributions	distribution	NOUN
ejpam-3012	300	42	are	be	AUX
ejpam-3012	300	43	evaluated	evaluate	VERB
ejpam-3012	300	44	and	and	CCONJ
ejpam-3012	300	45	presented	present	VERB
ejpam-3012	300	46	graphically	graphically	ADV
ejpam-3012	300	47	in	in	ADP
ejpam-3012	300	48	figures	figure	NOUN
ejpam-3012	300	49	10	10	NUM
ejpam-3012	300	50	-	-	SYM
ejpam-3012	300	51	17	17	NUM
ejpam-3012	300	52	.	.	PUNCT
ejpam-3012	301	1	two	two	NUM
ejpam-3012	301	2	different	different	ADJ
ejpam-3012	301	3	values	value	NOUN
ejpam-3012	301	4	of	of	ADP
ejpam-3012	301	5	seebeck	seebeck	PROPN
ejpam-3012	301	6	parameter	parameter	PROPN
ejpam-3012	301	7	s	s	PROPN
ejpam-3012	301	8	were	be	AUX
ejpam-3012	301	9	considered	consider	VERB
ejpam-3012	301	10	(	(	PUNCT
ejpam-3012	301	11	s	s	X
ejpam-3012	301	12	=	=	SYM
ejpam-3012	301	13	0.5	0.5	NUM
ejpam-3012	301	14	,	,	PUNCT
ejpam-3012	301	15	0.25	0.25	NUM
ejpam-3012	301	16	)	)	PUNCT
ejpam-3012	301	17	.	.	PUNCT
ejpam-3012	302	1	additional	additional	ADJ
ejpam-3012	302	2	results	result	NOUN
ejpam-3012	302	3	for	for	ADP
ejpam-3012	302	4	field	field	NOUN
ejpam-3012	302	5	quantities	quantity	NOUN
ejpam-3012	302	6	are	be	AUX
ejpam-3012	302	7	given	give	VERB
ejpam-3012	302	8	without	without	ADP
ejpam-3012	302	9	seebeck	seebeck	NOUN
ejpam-3012	302	10	effect	effect	NOUN
ejpam-3012	302	11	(	(	PUNCT
ejpam-3012	302	12	s	s	NOUN
ejpam-3012	302	13	=	=	NOUN
ejpam-3012	302	14	0	0	NUM
ejpam-3012	302	15	)	)	PUNCT
ejpam-3012	302	16	.	.	PUNCT
ejpam-3012	303	1	a.	a.	PROPN
ejpam-3012	303	2	m.	m.	NOUN
ejpam-3012	303	3	zenkour	zenkour	PROPN
ejpam-3012	303	4	et	et	PROPN
ejpam-3012	303	5	al	al	PROPN
ejpam-3012	303	6	.	.	PUNCT
ejpam-3012	303	7	/	/	SYM
ejpam-3012	303	8	eur	eur	PROPN
ejpam-3012	303	9	.	.	PUNCT
ejpam-3012	304	1	j.	j.	PROPN
ejpam-3012	304	2	pure	pure	PROPN
ejpam-3012	304	3	appl	appl	PROPN
ejpam-3012	304	4	.	.	PROPN
ejpam-3012	304	5	math	math	PROPN
ejpam-3012	304	6	,	,	PUNCT
ejpam-3012	304	7	10	10	NUM
ejpam-3012	304	8	(	(	PUNCT
ejpam-3012	304	9	4	4	NUM
ejpam-3012	304	10	)	)	PUNCT
ejpam-3012	304	11	(	(	PUNCT
ejpam-3012	304	12	2017	2017	NUM
ejpam-3012	304	13	)	)	PUNCT
ejpam-3012	304	14	,	,	PUNCT
ejpam-3012	304	15	786	786	NUM
ejpam-3012	304	16	-	-	SYM
ejpam-3012	304	17	808	808	NUM
ejpam-3012	304	18	803	803	NUM
ejpam-3012	304	19	figure	figure	NOUN
ejpam-3012	304	20	10	10	NUM
ejpam-3012	304	21	:	:	PUNCT
ejpam-3012	304	22	distribution	distribution	NOUN
ejpam-3012	304	23	of	of	ADP
ejpam-3012	304	24	θ	θ	PROPN
ejpam-3012	304	25	along	along	ADP
ejpam-3012	304	26	the	the	DET
ejpam-3012	304	27	radial	radial	ADJ
ejpam-3012	304	28	direction	direction	NOUN
ejpam-3012	304	29	of	of	ADP
ejpam-3012	304	30	the	the	DET
ejpam-3012	304	31	solid	solid	ADJ
ejpam-3012	304	32	cylinder	cylinder	NOUN
ejpam-3012	304	33	for	for	ADP
ejpam-3012	304	34	different	different	ADJ
ejpam-3012	304	35	values	value	NOUN
ejpam-3012	304	36	of	of	ADP
ejpam-3012	304	37	k1	k1	ADJ
ejpam-3012	304	38	figure	figure	NOUN
ejpam-3012	304	39	11	11	NUM
ejpam-3012	304	40	:	:	PUNCT
ejpam-3012	304	41	distribution	distribution	NOUN
ejpam-3012	304	42	of	of	ADP
ejpam-3012	304	43	u	u	NOUN
ejpam-3012	304	44	along	along	ADP
ejpam-3012	304	45	the	the	DET
ejpam-3012	304	46	radial	radial	ADJ
ejpam-3012	304	47	direction	direction	NOUN
ejpam-3012	304	48	of	of	ADP
ejpam-3012	304	49	the	the	DET
ejpam-3012	304	50	solid	solid	ADJ
ejpam-3012	304	51	cylinder	cylinder	NOUN
ejpam-3012	304	52	for	for	ADP
ejpam-3012	304	53	different	different	ADJ
ejpam-3012	304	54	values	value	NOUN
ejpam-3012	304	55	of	of	ADP
ejpam-3012	304	56	s	s	PART
ejpam-3012	304	57	figure	figure	NOUN
ejpam-3012	304	58	12	12	NUM
ejpam-3012	304	59	:	:	PUNCT
ejpam-3012	304	60	distribution	distribution	NOUN
ejpam-3012	304	61	of	of	ADP
ejpam-3012	304	62	σrr	σrr	NOUN
ejpam-3012	304	63	along	along	ADP
ejpam-3012	304	64	the	the	DET
ejpam-3012	304	65	radial	radial	ADJ
ejpam-3012	304	66	direction	direction	NOUN
ejpam-3012	304	67	of	of	ADP
ejpam-3012	304	68	the	the	DET
ejpam-3012	304	69	solid	solid	ADJ
ejpam-3012	304	70	cylinder	cylinder	NOUN
ejpam-3012	304	71	for	for	ADP
ejpam-3012	304	72	different	different	ADJ
ejpam-3012	304	73	values	value	NOUN
ejpam-3012	304	74	of	of	ADP
ejpam-3012	304	75	s	s	PRON
ejpam-3012	304	76	in	in	ADP
ejpam-3012	304	77	this	this	DET
ejpam-3012	304	78	case	case	NOUN
ejpam-3012	304	79	variability	variability	NOUN
ejpam-3012	304	80	thermal	thermal	ADJ
ejpam-3012	304	81	conductivity	conductivity	NOUN
ejpam-3012	304	82	parameter	parameter	NOUN
ejpam-3012	304	83	is	be	AUX
ejpam-3012	304	84	fixed	fix	VERB
ejpam-3012	304	85	to	to	PART
ejpam-3012	304	86	be	be	AUX
ejpam-3012	304	87	k1	k1	NOUN
ejpam-3012	304	88	=	=	SYM
ejpam-3012	304	89	−0.5	−0.5	PROPN
ejpam-3012	304	90	.	.	PUNCT
ejpam-3012	305	1	it	it	PRON
ejpam-3012	305	2	is	be	AUX
ejpam-3012	305	3	noticed	notice	VERB
ejpam-3012	305	4	that	that	SCONJ
ejpam-3012	305	5	seebeck	seebeck	PROPN
ejpam-3012	305	6	parameter	parameter	NOUN
ejpam-3012	305	7	s	s	PART
ejpam-3012	305	8	is	be	AUX
ejpam-3012	305	9	more	more	ADV
ejpam-3012	305	10	pronounced	pronounced	ADJ
ejpam-3012	305	11	and	and	CCONJ
ejpam-3012	305	12	has	have	VERB
ejpam-3012	305	13	significant	significant	ADJ
ejpam-3012	305	14	effects	effect	NOUN
ejpam-3012	305	15	on	on	ADP
ejpam-3012	305	16	all	all	DET
ejpam-3012	305	17	considered	consider	VERB
ejpam-3012	305	18	functions	function	NOUN
ejpam-3012	305	19	.	.	PUNCT
ejpam-3012	306	1	a.	a.	NOUN
ejpam-3012	306	2	m.	m.	NOUN
ejpam-3012	306	3	zenkour	zenkour	PROPN
ejpam-3012	306	4	et	et	PROPN
ejpam-3012	306	5	al	al	PROPN
ejpam-3012	306	6	.	.	PUNCT
ejpam-3012	306	7	/	/	SYM
ejpam-3012	306	8	eur	eur	PROPN
ejpam-3012	306	9	.	.	PUNCT
ejpam-3012	307	1	j.	j.	PROPN
ejpam-3012	307	2	pure	pure	PROPN
ejpam-3012	307	3	appl	appl	PROPN
ejpam-3012	307	4	.	.	PROPN
ejpam-3012	307	5	math	math	PROPN
ejpam-3012	307	6	,	,	PUNCT
ejpam-3012	307	7	10	10	NUM
ejpam-3012	307	8	(	(	PUNCT
ejpam-3012	307	9	4	4	NUM
ejpam-3012	307	10	)	)	PUNCT
ejpam-3012	307	11	(	(	PUNCT
ejpam-3012	307	12	2017	2017	NUM
ejpam-3012	307	13	)	)	PUNCT
ejpam-3012	307	14	,	,	PUNCT
ejpam-3012	307	15	786	786	NUM
ejpam-3012	307	16	-	-	SYM
ejpam-3012	307	17	808	808	NUM
ejpam-3012	307	18	804	804	NUM
ejpam-3012	307	19	figure	figure	NOUN
ejpam-3012	307	20	13	13	NUM
ejpam-3012	307	21	:	:	PUNCT
ejpam-3012	307	22	distribution	distribution	NOUN
ejpam-3012	307	23	of	of	ADP
ejpam-3012	307	24	h	h	NOUN
ejpam-3012	307	25	along	along	ADP
ejpam-3012	307	26	the	the	DET
ejpam-3012	307	27	radial	radial	ADJ
ejpam-3012	307	28	direction	direction	NOUN
ejpam-3012	307	29	of	of	ADP
ejpam-3012	307	30	the	the	DET
ejpam-3012	307	31	solid	solid	ADJ
ejpam-3012	307	32	cylinder	cylinder	NOUN
ejpam-3012	307	33	for	for	ADP
ejpam-3012	307	34	different	different	ADJ
ejpam-3012	307	35	values	value	NOUN
ejpam-3012	307	36	of	of	ADP
ejpam-3012	307	37	s	s	PART
ejpam-3012	307	38	figure	figure	NOUN
ejpam-3012	307	39	14	14	NUM
ejpam-3012	307	40	:	:	PUNCT
ejpam-3012	307	41	distribution	distribution	NOUN
ejpam-3012	307	42	of	of	ADP
ejpam-3012	307	43	e	e	PROPN
ejpam-3012	307	44	along	along	ADP
ejpam-3012	307	45	the	the	DET
ejpam-3012	307	46	radial	radial	ADJ
ejpam-3012	307	47	direction	direction	NOUN
ejpam-3012	307	48	of	of	ADP
ejpam-3012	307	49	the	the	DET
ejpam-3012	307	50	solid	solid	ADJ
ejpam-3012	307	51	cylinder	cylinder	NOUN
ejpam-3012	307	52	for	for	ADP
ejpam-3012	307	53	different	different	ADJ
ejpam-3012	307	54	values	value	NOUN
ejpam-3012	307	55	of	of	ADP
ejpam-3012	307	56	s	s	PART
ejpam-3012	307	57	figure	figure	NOUN
ejpam-3012	307	58	15	15	NUM
ejpam-3012	307	59	:	:	PUNCT
ejpam-3012	307	60	distribution	distribution	NOUN
ejpam-3012	307	61	of	of	ADP
ejpam-3012	307	62	h0	h0	NOUN
ejpam-3012	307	63	along	along	ADP
ejpam-3012	307	64	the	the	DET
ejpam-3012	307	65	radial	radial	ADJ
ejpam-3012	307	66	direction	direction	NOUN
ejpam-3012	307	67	of	of	ADP
ejpam-3012	307	68	the	the	DET
ejpam-3012	307	69	solid	solid	ADJ
ejpam-3012	307	70	cylinder	cylinder	NOUN
ejpam-3012	307	71	for	for	ADP
ejpam-3012	307	72	different	different	ADJ
ejpam-3012	307	73	values	value	NOUN
ejpam-3012	307	74	of	of	ADP
ejpam-3012	307	75	s	s	NOUN
ejpam-3012	307	76	7	7	NUM
ejpam-3012	307	77	.	.	PUNCT
ejpam-3012	307	78	conclusions	conclusion	NOUN
ejpam-3012	307	79	in	in	ADP
ejpam-3012	307	80	this	this	DET
ejpam-3012	307	81	article	article	NOUN
ejpam-3012	307	82	we	we	PRON
ejpam-3012	307	83	present	present	VERB
ejpam-3012	307	84	new	new	ADJ
ejpam-3012	307	85	model	model	NOUN
ejpam-3012	307	86	of	of	ADP
ejpam-3012	307	87	equations	equation	NOUN
ejpam-3012	307	88	of	of	ADP
ejpam-3012	307	89	generalized	generalized	ADJ
ejpam-3012	307	90	electro	electro	NOUN
ejpam-3012	307	91	-	-	PUNCT
ejpam-3012	307	92	magnetothermoelasticity	magnetothermoelasticity	NOUN
ejpam-3012	307	93	for	for	ADP
ejpam-3012	307	94	thermally	thermally	ADV
ejpam-3012	307	95	,	,	PUNCT
ejpam-3012	307	96	isotropic	isotropic	ADJ
ejpam-3012	307	97	and	and	CCONJ
ejpam-3012	307	98	electrically	electrically	ADV
ejpam-3012	307	99	conducting	conduct	VERB
ejpam-3012	307	100	infinitely	infinitely	ADV
ejpam-3012	307	101	solid	solid	ADJ
ejpam-3012	307	102	cylinder	cylinder	NOUN
ejpam-3012	307	103	a.	a.	NOUN
ejpam-3012	307	104	m.	m.	NOUN
ejpam-3012	307	105	zenkour	zenkour	PROPN
ejpam-3012	307	106	et	et	PROPN
ejpam-3012	307	107	al	al	PROPN
ejpam-3012	307	108	.	.	PUNCT
ejpam-3012	307	109	/	/	SYM
ejpam-3012	307	110	eur	eur	PROPN
ejpam-3012	307	111	.	.	PUNCT
ejpam-3012	308	1	j.	j.	PROPN
ejpam-3012	308	2	pure	pure	PROPN
ejpam-3012	308	3	appl	appl	PROPN
ejpam-3012	308	4	.	.	PROPN
ejpam-3012	308	5	math	math	PROPN
ejpam-3012	308	6	,	,	PUNCT
ejpam-3012	308	7	10	10	NUM
ejpam-3012	308	8	(	(	PUNCT
ejpam-3012	308	9	4	4	NUM
ejpam-3012	308	10	)	)	PUNCT
ejpam-3012	308	11	(	(	PUNCT
ejpam-3012	308	12	2017	2017	NUM
ejpam-3012	308	13	)	)	PUNCT
ejpam-3012	308	14	,	,	PUNCT
ejpam-3012	308	15	786	786	NUM
ejpam-3012	308	16	-	-	SYM
ejpam-3012	308	17	808	808	NUM
ejpam-3012	308	18	805	805	NUM
ejpam-3012	308	19	figure	figure	NOUN
ejpam-3012	308	20	16	16	NUM
ejpam-3012	308	21	:	:	PUNCT
ejpam-3012	308	22	distribution	distribution	NOUN
ejpam-3012	308	23	of	of	ADP
ejpam-3012	308	24	e0	e0	PROPN
ejpam-3012	308	25	along	along	ADP
ejpam-3012	308	26	the	the	DET
ejpam-3012	308	27	radial	radial	ADJ
ejpam-3012	308	28	direction	direction	NOUN
ejpam-3012	308	29	of	of	ADP
ejpam-3012	308	30	the	the	DET
ejpam-3012	308	31	solid	solid	ADJ
ejpam-3012	308	32	cylinder	cylinder	NOUN
ejpam-3012	308	33	for	for	ADP
ejpam-3012	308	34	different	different	ADJ
ejpam-3012	308	35	values	value	NOUN
ejpam-3012	308	36	of	of	ADP
ejpam-3012	308	37	s	s	PART
ejpam-3012	308	38	figure	figure	NOUN
ejpam-3012	308	39	17	17	NUM
ejpam-3012	308	40	:	:	PUNCT
ejpam-3012	308	41	distribution	distribution	NOUN
ejpam-3012	308	42	of	of	ADP
ejpam-3012	308	43	mrr	mrr	NOUN
ejpam-3012	308	44	along	along	ADP
ejpam-3012	308	45	the	the	DET
ejpam-3012	308	46	radial	radial	ADJ
ejpam-3012	308	47	direction	direction	NOUN
ejpam-3012	308	48	of	of	ADP
ejpam-3012	308	49	the	the	DET
ejpam-3012	308	50	solid	solid	ADJ
ejpam-3012	308	51	cylinder	cylinder	NOUN
ejpam-3012	308	52	for	for	ADP
ejpam-3012	308	53	different	different	ADJ
ejpam-3012	308	54	values	value	NOUN
ejpam-3012	308	55	of	of	ADP
ejpam-3012	308	56	s	s	VERB
ejpam-3012	308	57	whose	whose	DET
ejpam-3012	308	58	surface	surface	NOUN
ejpam-3012	308	59	is	be	AUX
ejpam-3012	308	60	subjected	subject	VERB
ejpam-3012	308	61	to	to	ADP
ejpam-3012	308	62	thermal	thermal	ADJ
ejpam-3012	308	63	shock	shock	NOUN
ejpam-3012	308	64	.	.	PUNCT
ejpam-3012	309	1	the	the	DET
ejpam-3012	309	2	influences	influence	NOUN
ejpam-3012	309	3	of	of	ADP
ejpam-3012	309	4	phase	phase	NOUN
ejpam-3012	309	5	-	-	PUNCT
ejpam-3012	309	6	lags	lag	NOUN
ejpam-3012	309	7	,	,	PUNCT
ejpam-3012	309	8	magnetic	magnetic	ADJ
ejpam-3012	309	9	field	field	NOUN
ejpam-3012	309	10	,	,	PUNCT
ejpam-3012	309	11	thermal	thermal	ADJ
ejpam-3012	309	12	shock	shock	NOUN
ejpam-3012	309	13	,	,	PUNCT
ejpam-3012	309	14	seebeck	seebeck	NOUN
ejpam-3012	309	15	’s	’s	PART
ejpam-3012	309	16	coefficient	coefficient	NOUN
ejpam-3012	309	17	and	and	CCONJ
ejpam-3012	309	18	variable	variable	ADJ
ejpam-3012	309	19	thermal	thermal	ADJ
ejpam-3012	309	20	conductivity	conductivity	NOUN
ejpam-3012	309	21	are	be	AUX
ejpam-3012	309	22	considered	consider	VERB
ejpam-3012	309	23	under	under	ADP
ejpam-3012	309	24	variable	variable	ADJ
ejpam-3012	309	25	thermal	thermal	ADJ
ejpam-3012	309	26	conductivity	conductivity	NOUN
ejpam-3012	309	27	and	and	CCONJ
ejpam-3012	309	28	magnetic	magnetic	ADJ
ejpam-3012	309	29	field	field	NOUN
ejpam-3012	309	30	.	.	PUNCT
ejpam-3012	310	1	the	the	DET
ejpam-3012	310	2	problem	problem	NOUN
ejpam-3012	310	3	has	have	AUX
ejpam-3012	310	4	been	be	AUX
ejpam-3012	310	5	solved	solve	VERB
ejpam-3012	310	6	by	by	ADP
ejpam-3012	310	7	means	mean	NOUN
ejpam-3012	310	8	of	of	ADP
ejpam-3012	310	9	laplace	laplace	NOUN
ejpam-3012	310	10	transform	transform	NOUN
ejpam-3012	310	11	and	and	CCONJ
ejpam-3012	310	12	numerical	numerical	ADJ
ejpam-3012	310	13	laplace	laplace	NOUN
ejpam-3012	310	14	inversion	inversion	NOUN
ejpam-3012	310	15	.	.	PUNCT
ejpam-3012	311	1	according	accord	VERB
ejpam-3012	311	2	to	to	ADP
ejpam-3012	311	3	above	above	ADV
ejpam-3012	311	4	,	,	PUNCT
ejpam-3012	311	5	it	it	PRON
ejpam-3012	311	6	is	be	AUX
ejpam-3012	311	7	concluded	conclude	VERB
ejpam-3012	311	8	that	that	SCONJ
ejpam-3012	311	9	variability	variability	NOUN
ejpam-3012	311	10	thermal	thermal	ADJ
ejpam-3012	311	11	conductivity	conductivity	NOUN
ejpam-3012	311	12	parameter	parameter	NOUN
ejpam-3012	311	13	has	have	VERB
ejpam-3012	311	14	significant	significant	ADJ
ejpam-3012	311	15	effects	effect	NOUN
ejpam-3012	311	16	on	on	ADP
ejpam-3012	311	17	speed	speed	NOUN
ejpam-3012	311	18	of	of	ADP
ejpam-3012	311	19	wave	wave	NOUN
ejpam-3012	311	20	propagation	propagation	NOUN
ejpam-3012	311	21	of	of	ADP
ejpam-3012	311	22	the	the	DET
ejpam-3012	311	23	studied	study	VERB
ejpam-3012	311	24	fields	field	NOUN
ejpam-3012	311	25	.	.	PUNCT
ejpam-3012	312	1	the	the	DET
ejpam-3012	312	2	temperature	temperature	NOUN
ejpam-3012	312	3	-	-	PUNCT
ejpam-3012	312	4	dependent	dependent	ADJ
ejpam-3012	312	5	thermal	thermal	ADJ
ejpam-3012	312	6	conductivity	conductivity	NOUN
ejpam-3012	312	7	has	have	VERB
ejpam-3012	312	8	significant	significant	ADJ
ejpam-3012	312	9	effect	effect	NOUN
ejpam-3012	312	10	on	on	ADP
ejpam-3012	312	11	thermal	thermal	ADJ
ejpam-3012	312	12	and	and	CCONJ
ejpam-3012	312	13	mechanical	mechanical	ADJ
ejpam-3012	312	14	interactions	interaction	NOUN
ejpam-3012	312	15	.	.	PUNCT
ejpam-3012	313	1	seebeck	seebeck	PROPN
ejpam-3012	313	2	parameter	parameter	PROPN
ejpam-3012	313	3	has	have	VERB
ejpam-3012	313	4	significant	significant	ADJ
ejpam-3012	313	5	influence	influence	NOUN
ejpam-3012	313	6	on	on	ADP
ejpam-3012	313	7	all	all	DET
ejpam-3012	313	8	distributions	distribution	NOUN
ejpam-3012	313	9	.	.	PUNCT
ejpam-3012	314	1	other	other	ADJ
ejpam-3012	314	2	theories	theory	NOUN
ejpam-3012	314	3	of	of	ADP
ejpam-3012	314	4	coupled	couple	VERB
ejpam-3012	314	5	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	314	6	,	,	PUNCT
ejpam-3012	314	7	generalized	generalized	ADJ
ejpam-3012	314	8	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	314	9	with	with	ADP
ejpam-3012	314	10	one	one	NUM
ejpam-3012	314	11	relaxation	relaxation	NOUN
ejpam-3012	314	12	time	time	NOUN
ejpam-3012	314	13	can	can	AUX
ejpam-3012	314	14	be	be	AUX
ejpam-3012	314	15	obtained	obtain	VERB
ejpam-3012	314	16	as	as	ADP
ejpam-3012	314	17	special	special	ADJ
ejpam-3012	314	18	cases	case	NOUN
ejpam-3012	314	19	of	of	ADP
ejpam-3012	314	20	the	the	DET
ejpam-3012	314	21	present	present	ADJ
ejpam-3012	314	22	model	model	NOUN
ejpam-3012	314	23	.	.	PUNCT
ejpam-3012	315	1	in	in	ADP
ejpam-3012	315	2	generalized	generalized	ADJ
ejpam-3012	315	3	magnetothermoelasticity	magnetothermoelasticity	NOUN
ejpam-3012	315	4	theory	theory	NOUN
ejpam-3012	315	5	with	with	ADP
ejpam-3012	315	6	phase	phase	NOUN
ejpam-3012	315	7	-	-	PUNCT
ejpam-3012	315	8	lags	lag	NOUN
ejpam-3012	315	9	heat	heat	NOUN
ejpam-3012	315	10	propagates	propagate	VERB
ejpam-3012	315	11	as	as	ADP
ejpam-3012	315	12	wave	wave	NOUN
ejpam-3012	315	13	with	with	ADP
ejpam-3012	315	14	finite	finite	ADJ
ejpam-3012	315	15	velocity	velocity	NOUN
ejpam-3012	315	16	instead	instead	ADV
ejpam-3012	315	17	of	of	ADP
ejpam-3012	315	18	infinite	infinite	ADJ
ejpam-3012	315	19	velocity	velocity	NOUN
ejpam-3012	315	20	in	in	ADP
ejpam-3012	315	21	medium	medium	NOUN
ejpam-3012	315	22	.	.	PUNCT
ejpam-3012	316	1	the	the	DET
ejpam-3012	316	2	numerical	numerical	ADJ
ejpam-3012	316	3	results	result	NOUN
ejpam-3012	316	4	presented	present	VERB
ejpam-3012	316	5	here	here	ADV
ejpam-3012	316	6	should	should	AUX
ejpam-3012	316	7	prove	prove	VERB
ejpam-3012	316	8	useful	useful	ADJ
ejpam-3012	316	9	to	to	ADP
ejpam-3012	316	10	researchers	researcher	NOUN
ejpam-3012	316	11	in	in	ADP
ejpam-3012	316	12	science	science	NOUN
ejpam-3012	316	13	and	and	CCONJ
ejpam-3012	316	14	technology	technology	NOUN
ejpam-3012	316	15	as	as	ADV
ejpam-3012	316	16	well	well	ADV
ejpam-3012	316	17	as	as	ADP
ejpam-3012	316	18	to	to	ADP
ejpam-3012	316	19	the	the	DET
ejpam-3012	316	20	development	development	NOUN
ejpam-3012	316	21	of	of	ADP
ejpam-3012	316	22	solid	solid	ADJ
ejpam-3012	316	23	-	-	PUNCT
ejpam-3012	316	24	state	state	NOUN
ejpam-3012	316	25	mechanisms	mechanism	NOUN
ejpam-3012	316	26	.	.	PUNCT
ejpam-3012	317	1	references	reference	NOUN
ejpam-3012	317	2	806	806	NUM
ejpam-3012	317	3	acknowledgements	acknowledgement	NOUN
ejpam-3012	317	4	this	this	DET
ejpam-3012	317	5	project	project	NOUN
ejpam-3012	317	6	was	be	AUX
ejpam-3012	317	7	funded	fund	VERB
ejpam-3012	317	8	by	by	ADP
ejpam-3012	317	9	the	the	DET
ejpam-3012	317	10	national	national	ADJ
ejpam-3012	317	11	plan	plan	NOUN
ejpam-3012	317	12	for	for	ADP
ejpam-3012	317	13	science	science	NOUN
ejpam-3012	317	14	,	,	PUNCT
ejpam-3012	317	15	technology	technology	NOUN
ejpam-3012	317	16	and	and	CCONJ
ejpam-3012	317	17	innovation	innovation	NOUN
ejpam-3012	317	18	(	(	PUNCT
ejpam-3012	317	19	maarifah	maarifah	NOUN
ejpam-3012	317	20	)	)	PUNCT
ejpam-3012	317	21	king	king	NOUN
ejpam-3012	317	22	abdulaziz	abdulaziz	PROPN
ejpam-3012	317	23	city	city	PROPN
ejpam-3012	317	24	for	for	ADP
ejpam-3012	317	25	science	science	NOUN
ejpam-3012	317	26	and	and	CCONJ
ejpam-3012	317	27	technology	technology	NOUN
ejpam-3012	317	28	the	the	DET
ejpam-3012	317	29	kingdom	kingdom	NOUN
ejpam-3012	317	30	of	of	ADP
ejpam-3012	317	31	saudi	saudi	PROPN
ejpam-3012	317	32	arabia	arabia	PROPN
ejpam-3012	317	33	award	award	PROPN
ejpam-3012	317	34	number	number	NOUN
ejpam-3012	317	35	(	(	PUNCT
ejpam-3012	317	36	12	12	NUM
ejpam-3012	317	37	-	-	PUNCT
ejpam-3012	317	38	nan3083	nan3083	NOUN
ejpam-3012	317	39	-	-	PUNCT
ejpam-3012	317	40	03	03	NUM
ejpam-3012	317	41	)	)	PUNCT
ejpam-3012	317	42	.	.	PUNCT
ejpam-3012	318	1	the	the	DET
ejpam-3012	318	2	authors	author	NOUN
ejpam-3012	318	3	also	also	ADV
ejpam-3012	318	4	,	,	PUNCT
ejpam-3012	318	5	acknowledge	acknowledge	VERB
ejpam-3012	318	6	with	with	ADP
ejpam-3012	318	7	thanks	thank	NOUN
ejpam-3012	318	8	science	science	NOUN
ejpam-3012	318	9	and	and	CCONJ
ejpam-3012	318	10	technology	technology	NOUN
ejpam-3012	318	11	unit	unit	NOUN
ejpam-3012	318	12	,	,	PUNCT
ejpam-3012	318	13	king	king	PROPN
ejpam-3012	318	14	abdulaziz	abdulaziz	PROPN
ejpam-3012	318	15	university	university	PROPN
ejpam-3012	318	16	for	for	ADP
ejpam-3012	318	17	technical	technical	ADJ
ejpam-3012	318	18	support	support	NOUN
ejpam-3012	318	19	.	.	PUNCT
ejpam-3012	319	1	references	reference	NOUN
ejpam-3012	319	2	[	[	X
ejpam-3012	319	3	1	1	NUM
ejpam-3012	319	4	]	]	X
ejpam-3012	319	5	k	k	X
ejpam-3012	319	6	a	a	DET
ejpam-3012	319	7	alnefaie	alnefaie	PROPN
ejpam-3012	319	8	x	x	PUNCT
ejpam-3012	319	9	zhang	zhang	PROPN
ejpam-3012	319	10	a	a	DET
ejpam-3012	319	11	m	m	PROPN
ejpam-3012	319	12	zenkour	zenkour	NOUN
ejpam-3012	319	13	,	,	PUNCT
ejpam-3012	319	14	a	a	DET
ejpam-3012	319	15	e	e	NOUN
ejpam-3012	319	16	abouelregal	abouelregal	NOUN
ejpam-3012	319	17	and	and	CCONJ
ejpam-3012	319	18	e	e	X
ejpam-3012	319	19	c	c	PROPN
ejpam-3012	319	20	aifantis	aifantis	PROPN
ejpam-3012	319	21	.	.	PUNCT
ejpam-3012	320	1	nonlocal	nonlocal	ADJ
ejpam-3012	320	2	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	320	3	theory	theory	NOUN
ejpam-3012	320	4	for	for	ADP
ejpam-3012	320	5	thermal	thermal	ADJ
ejpam-3012	320	6	-	-	PUNCT
ejpam-3012	320	7	shock	shock	NOUN
ejpam-3012	320	8	nanobeams	nanobeam	NOUN
ejpam-3012	320	9	with	with	ADP
ejpam-3012	320	10	temperature	temperature	NOUN
ejpam-3012	320	11	-	-	PUNCT
ejpam-3012	320	12	dependent	dependent	ADJ
ejpam-3012	320	13	thermal	thermal	ADJ
ejpam-3012	320	14	conductivity	conductivity	NOUN
ejpam-3012	320	15	.	.	PUNCT
ejpam-3012	321	1	j.	j.	PROPN
ejpam-3012	321	2	therm	therm	PROPN
ejpam-3012	321	3	.	.	PUNCT
ejpam-3012	322	1	stresses	stress	NOUN
ejpam-3012	322	2	,	,	PUNCT
ejpam-3012	322	3	38:1049–1067	38:1049–1067	NUM
ejpam-3012	322	4	,	,	PUNCT
ejpam-3012	322	5	2015	2015	NUM
ejpam-3012	322	6	.	.	PUNCT
ejpam-3012	323	1	[	[	X
ejpam-3012	323	2	2	2	X
ejpam-3012	323	3	]	]	PUNCT
ejpam-3012	323	4	i	i	PRON
ejpam-3012	323	5	a	a	DET
ejpam-3012	323	6	abbas	abbas	NOUN
ejpam-3012	323	7	and	and	CCONJ
ejpam-3012	323	8	a	a	DET
ejpam-3012	323	9	m	m	NOUN
ejpam-3012	323	10	zenkour	zenkour	NOUN
ejpam-3012	323	11	.	.	PUNCT
ejpam-3012	324	1	ls	ls	ADJ
ejpam-3012	324	2	model	model	NOUN
ejpam-3012	324	3	on	on	ADP
ejpam-3012	324	4	electro	electro	NOUN
ejpam-3012	324	5	-	-	PUNCT
ejpam-3012	324	6	magneto	magneto	NOUN
ejpam-3012	324	7	-	-	PUNCT
ejpam-3012	324	8	thermo	thermo	NOUN
ejpam-3012	324	9	-	-	PUNCT
ejpam-3012	324	10	elastic	elastic	ADJ
ejpam-3012	324	11	response	response	NOUN
ejpam-3012	324	12	of	of	ADP
ejpam-3012	324	13	an	an	DET
ejpam-3012	324	14	infinite	infinite	NOUN
ejpam-3012	324	15	functionally	functionally	ADV
ejpam-3012	324	16	graded	grade	VERB
ejpam-3012	324	17	cylinder	cylinder	NOUN
ejpam-3012	324	18	.	.	PUNCT
ejpam-3012	325	1	compos	compos	NOUN
ejpam-3012	325	2	.	.	PUNCT
ejpam-3012	326	1	struct	struct	NOUN
ejpam-3012	326	2	.	.	PUNCT
ejpam-3012	326	3	,	,	PUNCT
ejpam-3012	326	4	96:89–96	96:89–96	NUM
ejpam-3012	326	5	,	,	PUNCT
ejpam-3012	326	6	2013	2013	NUM
ejpam-3012	326	7	.	.	PUNCT
ejpam-3012	327	1	[	[	X
ejpam-3012	327	2	3	3	X
ejpam-3012	327	3	]	]	PUNCT
ejpam-3012	327	4	a	a	DET
ejpam-3012	327	5	e	e	NOUN
ejpam-3012	327	6	abouelregal	abouelregal	ADJ
ejpam-3012	327	7	.	.	PUNCT
ejpam-3012	328	1	fractional	fractional	ADJ
ejpam-3012	328	2	order	order	NOUN
ejpam-3012	328	3	generalized	generalize	VERB
ejpam-3012	328	4	thermo	thermo	NOUN
ejpam-3012	328	5	-	-	PUNCT
ejpam-3012	328	6	piezoelectric	piezoelectric	NOUN
ejpam-3012	328	7	semi	semi	ADJ
ejpam-3012	328	8	-	-	ADJ
ejpam-3012	328	9	infinite	infinite	ADJ
ejpam-3012	328	10	medium	medium	NOUN
ejpam-3012	328	11	with	with	ADP
ejpam-3012	328	12	temperature	temperature	NOUN
ejpam-3012	328	13	-	-	PUNCT
ejpam-3012	328	14	dependent	dependent	ADJ
ejpam-3012	328	15	properties	property	NOUN
ejpam-3012	328	16	subjected	subject	VERB
ejpam-3012	328	17	to	to	ADP
ejpam-3012	328	18	a	a	DET
ejpam-3012	328	19	ramp	ramp	NOUN
ejpam-3012	328	20	-	-	PUNCT
ejpam-3012	328	21	type	type	NOUN
ejpam-3012	328	22	heating	heating	NOUN
ejpam-3012	328	23	.	.	PUNCT
ejpam-3012	329	1	j.	j.	PROPN
ejpam-3012	329	2	therm	therm	PROPN
ejpam-3012	329	3	.	.	PUNCT
ejpam-3012	330	1	stresses	stress	NOUN
ejpam-3012	330	2	,	,	PUNCT
ejpam-3012	330	3	11:1139–1155	11:1139–1155	NUM
ejpam-3012	330	4	,	,	PUNCT
ejpam-3012	330	5	2011	2011	NUM
ejpam-3012	330	6	.	.	PUNCT
ejpam-3012	331	1	[	[	X
ejpam-3012	331	2	4	4	X
ejpam-3012	331	3	]	]	PUNCT
ejpam-3012	331	4	a	a	DET
ejpam-3012	331	5	e	e	NOUN
ejpam-3012	331	6	abouelregal	abouelregal	ADJ
ejpam-3012	331	7	and	and	CCONJ
ejpam-3012	331	8	s	s	NOUN
ejpam-3012	331	9	m	m	NOUN
ejpam-3012	331	10	abo	abo	NOUN
ejpam-3012	331	11	-	-	PUNCT
ejpam-3012	331	12	dahab	dahab	NOUN
ejpam-3012	331	13	.	.	PUNCT
ejpam-3012	332	1	dual	dual	ADJ
ejpam-3012	332	2	phase	phase	NOUN
ejpam-3012	332	3	lag	lag	NOUN
ejpam-3012	332	4	model	model	NOUN
ejpam-3012	332	5	on	on	ADP
ejpam-3012	332	6	magnetothermoelasticity	magnetothermoelasticity	NOUN
ejpam-3012	332	7	infinite	infinite	NOUN
ejpam-3012	332	8	nonhomogeneous	nonhomogeneous	ADJ
ejpam-3012	332	9	solid	solid	ADJ
ejpam-3012	332	10	having	have	VERB
ejpam-3012	332	11	a	a	DET
ejpam-3012	332	12	spherical	spherical	ADJ
ejpam-3012	332	13	cavity	cavity	NOUN
ejpam-3012	332	14	.	.	PUNCT
ejpam-3012	333	1	j.	j.	PROPN
ejpam-3012	333	2	therm	therm	PROPN
ejpam-3012	333	3	.	.	PUNCT
ejpam-3012	334	1	stresses	stress	NOUN
ejpam-3012	334	2	,	,	PUNCT
ejpam-3012	334	3	35:733–848	35:733–848	NUM
ejpam-3012	334	4	,	,	PUNCT
ejpam-3012	334	5	2012	2012	NUM
ejpam-3012	334	6	.	.	PUNCT
ejpam-3012	335	1	[	[	X
ejpam-3012	335	2	5	5	NUM
ejpam-3012	335	3	]	]	PUNCT
ejpam-3012	335	4	a	a	DET
ejpam-3012	335	5	e	e	NOUN
ejpam-3012	335	6	abouelregal	abouelregal	ADJ
ejpam-3012	335	7	and	and	CCONJ
ejpam-3012	335	8	s	s	NOUN
ejpam-3012	335	9	m	m	NOUN
ejpam-3012	335	10	abo	abo	NOUN
ejpam-3012	335	11	-	-	PUNCT
ejpam-3012	335	12	dahab	dahab	NOUN
ejpam-3012	335	13	.	.	PUNCT
ejpam-3012	336	1	dual	dual	ADJ
ejpam-3012	336	2	-	-	PUNCT
ejpam-3012	336	3	phase	phase	NOUN
ejpam-3012	336	4	-	-	PUNCT
ejpam-3012	336	5	lag	lag	NOUN
ejpam-3012	336	6	diffusion	diffusion	NOUN
ejpam-3012	336	7	model	model	NOUN
ejpam-3012	336	8	for	for	ADP
ejpam-3012	336	9	thomson	thomson	PROPN
ejpam-3012	336	10	’s	’s	PART
ejpam-3012	336	11	phenomenon	phenomenon	NOUN
ejpam-3012	336	12	on	on	ADP
ejpam-3012	336	13	elctromagneto	elctromagneto	NOUN
ejpam-3012	336	14	-	-	PUNCT
ejpam-3012	336	15	thermoelastic	thermoelastic	ADJ
ejpam-3012	336	16	an	an	DET
ejpam-3012	336	17	infinitely	infinitely	ADV
ejpam-3012	336	18	long	long	ADJ
ejpam-3012	336	19	solid	solid	ADJ
ejpam-3012	336	20	cylinder	cylinder	NOUN
ejpam-3012	336	21	.	.	PUNCT
ejpam-3012	337	1	j.	j.	PROPN
ejpam-3012	337	2	comput	comput	PROPN
ejpam-3012	337	3	.	.	PUNCT
ejpam-3012	338	1	theoret	theoret	PROPN
ejpam-3012	338	2	.	.	PUNCT
ejpam-3012	339	1	nanoscience	nanoscience	PROPN
ejpam-3012	339	2	,	,	PUNCT
ejpam-3012	339	3	11:1–9	11:1–9	NUM
ejpam-3012	339	4	,	,	PUNCT
ejpam-3012	339	5	2014	2014	NUM
ejpam-3012	339	6	.	.	PUNCT
ejpam-3012	340	1	[	[	X
ejpam-3012	340	2	6	6	NUM
ejpam-3012	340	3	]	]	X
ejpam-3012	340	4	d	d	X
ejpam-3012	340	5	s	s	NOUN
ejpam-3012	340	6	chandrasekharaiah	chandrasekharaiah	NOUN
ejpam-3012	340	7	.	.	PUNCT
ejpam-3012	341	1	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	341	2	with	with	ADP
ejpam-3012	341	3	second	second	ADJ
ejpam-3012	341	4	sound	sound	NOUN
ejpam-3012	341	5	:	:	PUNCT
ejpam-3012	341	6	a	a	DET
ejpam-3012	341	7	review	review	NOUN
ejpam-3012	341	8	.	.	PUNCT
ejpam-3012	342	1	appl	appl	PROPN
ejpam-3012	342	2	.	.	PROPN
ejpam-3012	342	3	mech	mech	PROPN
ejpam-3012	342	4	.	.	PUNCT
ejpam-3012	343	1	rev	rev	PROPN
ejpam-3012	343	2	.	.	PROPN
ejpam-3012	343	3	,	,	PUNCT
ejpam-3012	343	4	39:354–376	39:354–376	PROPN
ejpam-3012	343	5	,	,	PUNCT
ejpam-3012	343	6	1986	1986	NUM
ejpam-3012	343	7	.	.	PUNCT
ejpam-3012	344	1	[	[	X
ejpam-3012	344	2	7	7	NUM
ejpam-3012	344	3	]	]	X
ejpam-3012	344	4	r	r	NOUN
ejpam-3012	344	5	s	s	PART
ejpam-3012	344	6	sussmann	sussmann	NOUN
ejpam-3012	344	7	c	c	PROPN
ejpam-3012	344	8	s	s	PART
ejpam-3012	344	9	j	j	PROPN
ejpam-3012	344	10	pickles	pickle	NOUN
ejpam-3012	344	11	f	f	PROPN
ejpam-3012	344	12	szuecs	szuecs	NOUN
ejpam-3012	344	13	,	,	PUNCT
ejpam-3012	344	14	m	m	PROPN
ejpam-3012	344	15	werner	werner	NOUN
ejpam-3012	344	16	and	and	CCONJ
ejpam-3012	344	17	m	m	PROPN
ejpam-3012	344	18	j	j	PROPN
ejpam-3012	344	19	frecht	frecht	NOUN
ejpam-3012	344	20	.	.	PUNCT
ejpam-3012	345	1	temperature	temperature	NOUN
ejpam-3012	345	2	dependence	dependence	NOUN
ejpam-3012	345	3	of	of	ADP
ejpam-3012	345	4	young	young	ADJ
ejpam-3012	345	5	modulus	modulus	NOUN
ejpam-3012	345	6	and	and	CCONJ
ejpam-3012	345	7	degradation	degradation	NOUN
ejpam-3012	345	8	of	of	ADP
ejpam-3012	345	9	chemical	chemical	ADJ
ejpam-3012	345	10	vapor	vapor	NOUN
ejpam-3012	345	11	deposited	deposit	VERB
ejpam-3012	345	12	diamond	diamond	NOUN
ejpam-3012	345	13	.	.	PUNCT
ejpam-3012	346	1	j.	j.	PROPN
ejpam-3012	346	2	appl	appl	PROPN
ejpam-3012	346	3	.	.	PUNCT
ejpam-3012	347	1	phys	phy	NOUN
ejpam-3012	347	2	.	.	PUNCT
ejpam-3012	347	3	,	,	PUNCT
ejpam-3012	347	4	86:6010–6017	86:6010–6017	NUM
ejpam-3012	347	5	,	,	PUNCT
ejpam-3012	347	6	1999	1999	NUM
ejpam-3012	347	7	.	.	PUNCT
ejpam-3012	348	1	[	[	X
ejpam-3012	348	2	8	8	NUM
ejpam-3012	348	3	]	]	PUNCT
ejpam-3012	348	4	a	a	DET
ejpam-3012	348	5	e	e	NOUN
ejpam-3012	348	6	green	green	NOUN
ejpam-3012	348	7	and	and	CCONJ
ejpam-3012	348	8	k	k	PROPN
ejpam-3012	348	9	a	a	DET
ejpam-3012	348	10	lindsay	lindsay	PROPN
ejpam-3012	348	11	.	.	PUNCT
ejpam-3012	349	1	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	349	2	.	.	PUNCT
ejpam-3012	350	1	j.	j.	PROPN
ejpam-3012	350	2	elast	elast	PROPN
ejpam-3012	350	3	.	.	PROPN
ejpam-3012	350	4	,	,	PUNCT
ejpam-3012	350	5	2:1–7	2:1–7	NUM
ejpam-3012	350	6	,	,	PUNCT
ejpam-3012	350	7	1971	1971	NUM
ejpam-3012	350	8	.	.	PUNCT
ejpam-3012	351	1	[	[	X
ejpam-3012	351	2	9	9	NUM
ejpam-3012	351	3	]	]	PUNCT
ejpam-3012	351	4	a	a	DET
ejpam-3012	351	5	e	e	NOUN
ejpam-3012	351	6	green	green	NOUN
ejpam-3012	351	7	and	and	CCONJ
ejpam-3012	351	8	p	p	NOUN
ejpam-3012	351	9	m	m	PROPN
ejpam-3012	351	10	naghdi	naghdi	PROPN
ejpam-3012	351	11	.	.	PUNCT
ejpam-3012	352	1	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	352	2	without	without	ADP
ejpam-3012	352	3	energy	energy	NOUN
ejpam-3012	352	4	dissipation	dissipation	NOUN
ejpam-3012	352	5	.	.	PUNCT
ejpam-3012	353	1	j.	j.	PROPN
ejpam-3012	353	2	elast	elast	PROPN
ejpam-3012	353	3	.	.	PROPN
ejpam-3012	353	4	,	,	PUNCT
ejpam-3012	353	5	31:189–208	31:189–208	PROPN
ejpam-3012	353	6	,	,	PUNCT
ejpam-3012	353	7	1993	1993	NUM
ejpam-3012	353	8	.	.	PUNCT
ejpam-3012	354	1	[	[	X
ejpam-3012	354	2	10	10	NUM
ejpam-3012	354	3	]	]	X
ejpam-3012	354	4	t	t	PROPN
ejpam-3012	354	5	xiaogeng	xiaogeng	PROPN
ejpam-3012	354	6	h	h	PROPN
ejpam-3012	354	7	tianhu	tianhu	PROPN
ejpam-3012	354	8	and	and	CCONJ
ejpam-3012	354	9	s	s	VERB
ejpam-3012	354	10	yapeng	yapeng	NOUN
ejpam-3012	354	11	.	.	PUNCT
ejpam-3012	355	1	a	a	DET
ejpam-3012	355	2	generalized	generalized	ADJ
ejpam-3012	355	3	electromagneto	electromagneto	NOUN
ejpam-3012	355	4	-	-	PUNCT
ejpam-3012	355	5	thermoelastic	thermoelastic	ADJ
ejpam-3012	355	6	problem	problem	NOUN
ejpam-3012	355	7	for	for	ADP
ejpam-3012	355	8	an	an	DET
ejpam-3012	355	9	infinitely	infinitely	ADV
ejpam-3012	355	10	long	long	ADJ
ejpam-3012	355	11	solid	solid	ADJ
ejpam-3012	355	12	cylinder	cylinder	NOUN
ejpam-3012	355	13	.	.	PUNCT
ejpam-3012	356	1	europ	europ	PROPN
ejpam-3012	356	2	.	.	PUNCT
ejpam-3012	357	1	j.	j.	PROPN
ejpam-3012	357	2	mech	mech	PROPN
ejpam-3012	357	3	.	.	PUNCT
ejpam-3012	358	1	a	a	DET
ejpam-3012	358	2	/	/	SYM
ejpam-3012	358	3	solids	solid	NOUN
ejpam-3012	358	4	,	,	PUNCT
ejpam-3012	358	5	24:349–359	24:349–359	NUM
ejpam-3012	358	6	,	,	PUNCT
ejpam-3012	358	7	2005	2005	NUM
ejpam-3012	358	8	.	.	PUNCT
ejpam-3012	359	1	[	[	X
ejpam-3012	359	2	11	11	NUM
ejpam-3012	359	3	]	]	X
ejpam-3012	359	4	g	g	PROPN
ejpam-3012	359	5	honig	honig	PROPN
ejpam-3012	359	6	and	and	CCONJ
ejpam-3012	359	7	u	u	NOUN
ejpam-3012	359	8	hirdes	hirde	VERB
ejpam-3012	359	9	.	.	PUNCT
ejpam-3012	360	1	a	a	DET
ejpam-3012	360	2	method	method	NOUN
ejpam-3012	360	3	for	for	ADP
ejpam-3012	360	4	the	the	DET
ejpam-3012	360	5	numerical	numerical	ADJ
ejpam-3012	360	6	inversion	inversion	NOUN
ejpam-3012	360	7	of	of	ADP
ejpam-3012	360	8	laplace	laplace	NOUN
ejpam-3012	360	9	transforms	transform	VERB
ejpam-3012	360	10	.	.	PUNCT
ejpam-3012	361	1	j.	j.	PROPN
ejpam-3012	361	2	comput	comput	PROPN
ejpam-3012	361	3	.	.	PUNCT
ejpam-3012	362	1	appl	appl	PROPN
ejpam-3012	362	2	.	.	PROPN
ejpam-3012	362	3	math	math	PROPN
ejpam-3012	362	4	.	.	PUNCT
ejpam-3012	362	5	,	,	PUNCT
ejpam-3012	362	6	10:113–132	10:113–132	NUM
ejpam-3012	362	7	,	,	PUNCT
ejpam-3012	362	8	1984	1984	NUM
ejpam-3012	362	9	.	.	PUNCT
ejpam-3012	363	1	references	reference	NOUN
ejpam-3012	363	2	807	807	NUM
ejpam-3012	363	3	[	[	X
ejpam-3012	363	4	12	12	NUM
ejpam-3012	363	5	]	]	PUNCT
ejpam-3012	363	6	l	l	NOUN
ejpam-3012	363	7	d	d	NOUN
ejpam-3012	363	8	landau	landau	NOUN
ejpam-3012	363	9	and	and	CCONJ
ejpam-3012	363	10	e	e	NOUN
ejpam-3012	363	11	m	m	NOUN
ejpam-3012	363	12	lifshitz	lifshitz	NOUN
ejpam-3012	363	13	.	.	PUNCT
ejpam-3012	364	1	electrodynamics	electrodynamic	NOUN
ejpam-3012	364	2	of	of	ADP
ejpam-3012	364	3	continuous	continuous	ADJ
ejpam-3012	364	4	media	medium	NOUN
ejpam-3012	364	5	.	.	PUNCT
ejpam-3012	365	1	pergamon	pergamon	NOUN
ejpam-3012	365	2	,	,	PUNCT
ejpam-3012	365	3	oxford	oxford	PROPN
ejpam-3012	365	4	,	,	PUNCT
ejpam-3012	365	5	1960	1960	NUM
ejpam-3012	365	6	.	.	PUNCT
ejpam-3012	366	1	[	[	X
ejpam-3012	366	2	13	13	NUM
ejpam-3012	366	3	]	]	X
ejpam-3012	366	4	h	h	PROPN
ejpam-3012	366	5	w	w	PROPN
ejpam-3012	366	6	lord	lord	PROPN
ejpam-3012	366	7	and	and	CCONJ
ejpam-3012	366	8	y	y	PROPN
ejpam-3012	366	9	shulman	shulman	PROPN
ejpam-3012	366	10	.	.	PUNCT
ejpam-3012	367	1	a	a	DET
ejpam-3012	367	2	generalized	generalized	ADJ
ejpam-3012	367	3	dynamical	dynamical	ADJ
ejpam-3012	367	4	theory	theory	NOUN
ejpam-3012	367	5	of	of	ADP
ejpam-3012	367	6	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	367	7	.	.	PUNCT
ejpam-3012	368	1	j.	j.	PROPN
ejpam-3012	368	2	mech	mech	PROPN
ejpam-3012	368	3	.	.	PUNCT
ejpam-3012	369	1	phys	phy	NOUN
ejpam-3012	369	2	.	.	PUNCT
ejpam-3012	370	1	solids	solid	NOUN
ejpam-3012	370	2	,	,	PUNCT
ejpam-3012	370	3	15:299–309	15:299–309	NUM
ejpam-3012	370	4	,	,	PUNCT
ejpam-3012	370	5	1967	1967	NUM
ejpam-3012	370	6	.	.	PUNCT
ejpam-3012	371	1	[	[	X
ejpam-3012	371	2	14	14	NUM
ejpam-3012	371	3	]	]	X
ejpam-3012	371	4	k	k	X
ejpam-3012	371	5	a	a	DET
ejpam-3012	371	6	elsibai	elsibai	NOUN
ejpam-3012	371	7	m	m	VERB
ejpam-3012	371	8	n	n	PRON
ejpam-3012	371	9	allam	allam	PROPN
ejpam-3012	371	10	and	and	CCONJ
ejpam-3012	371	11	a	a	DET
ejpam-3012	371	12	e	e	NOUN
ejpam-3012	371	13	abouelergal	abouelergal	NOUN
ejpam-3012	371	14	.	.	PUNCT
ejpam-3012	372	1	electromagneto	electromagneto	NOUN
ejpam-3012	372	2	-	-	PUNCT
ejpam-3012	372	3	thermoelastic	thermoelastic	ADJ
ejpam-3012	372	4	plane	plane	NOUN
ejpam-3012	372	5	waves	wave	NOUN
ejpam-3012	372	6	without	without	ADP
ejpam-3012	372	7	energy	energy	NOUN
ejpam-3012	372	8	dissipation	dissipation	NOUN
ejpam-3012	372	9	for	for	ADP
ejpam-3012	372	10	an	an	DET
ejpam-3012	372	11	infinitely	infinitely	ADV
ejpam-3012	372	12	long	long	ADJ
ejpam-3012	372	13	annular	annular	ADJ
ejpam-3012	372	14	cylinder	cylinder	NOUN
ejpam-3012	372	15	in	in	ADP
ejpam-3012	372	16	a	a	DET
ejpam-3012	372	17	harmonic	harmonic	ADJ
ejpam-3012	372	18	field	field	NOUN
ejpam-3012	372	19	.	.	PUNCT
ejpam-3012	373	1	j.	j.	PROPN
ejpam-3012	373	2	therm	therm	PROPN
ejpam-3012	373	3	.	.	PUNCT
ejpam-3012	374	1	stresses	stress	NOUN
ejpam-3012	374	2	,	,	PUNCT
ejpam-3012	374	3	30:195–210	30:195–210	PROPN
ejpam-3012	374	4	,	,	PUNCT
ejpam-3012	374	5	2007	2007	NUM
ejpam-3012	374	6	.	.	PUNCT
ejpam-3012	375	1	[	[	X
ejpam-3012	375	2	15	15	NUM
ejpam-3012	375	3	]	]	X
ejpam-3012	375	4	k	k	X
ejpam-3012	375	5	a	a	DET
ejpam-3012	375	6	elsibai	elsibai	NOUN
ejpam-3012	375	7	m	m	VERB
ejpam-3012	375	8	n	n	PRON
ejpam-3012	375	9	allam	allam	PROPN
ejpam-3012	375	10	and	and	CCONJ
ejpam-3012	375	11	a	a	DET
ejpam-3012	375	12	e	e	NOUN
ejpam-3012	375	13	abouelergal	abouelergal	NOUN
ejpam-3012	375	14	.	.	PUNCT
ejpam-3012	376	1	electromagneto	electromagneto	NOUN
ejpam-3012	376	2	-	-	PUNCT
ejpam-3012	376	3	thermoelastic	thermoelastic	ADJ
ejpam-3012	376	4	problem	problem	NOUN
ejpam-3012	376	5	in	in	ADP
ejpam-3012	376	6	a	a	DET
ejpam-3012	376	7	thick	thick	ADJ
ejpam-3012	376	8	plate	plate	NOUN
ejpam-3012	376	9	using	use	VERB
ejpam-3012	376	10	green	green	ADJ
ejpam-3012	376	11	and	and	CCONJ
ejpam-3012	376	12	naghdi	naghdi	NOUN
ejpam-3012	376	13	theory	theory	NOUN
ejpam-3012	376	14	.	.	PUNCT
ejpam-3012	377	1	int	int	NOUN
ejpam-3012	377	2	.	.	PUNCT
ejpam-3012	378	1	j.	j.	PROPN
ejpam-3012	378	2	eng	eng	PROPN
ejpam-3012	378	3	.	.	PUNCT
ejpam-3012	379	1	sci	sci	PROPN
ejpam-3012	379	2	.	.	PROPN
ejpam-3012	379	3	,	,	PUNCT
ejpam-3012	379	4	47:680–690	47:680–690	PROPN
ejpam-3012	379	5	,	,	PUNCT
ejpam-3012	379	6	2009	2009	NUM
ejpam-3012	379	7	.	.	PUNCT
ejpam-3012	380	1	[	[	X
ejpam-3012	380	2	16	16	NUM
ejpam-3012	380	3	]	]	X
ejpam-3012	380	4	m	m	VERB
ejpam-3012	380	5	reihaneh	reihaneh	NOUN
ejpam-3012	380	6	m	m	VERB
ejpam-3012	380	7	sadeq	sadeq	ADJ
ejpam-3012	380	8	and	and	CCONJ
ejpam-3012	380	9	v	v	NOUN
ejpam-3012	380	10	m	m	NOUN
ejpam-3012	380	11	hadi	hadi	PROPN
ejpam-3012	380	12	.	.	PUNCT
ejpam-3012	381	1	steady	steady	ADJ
ejpam-3012	381	2	state	state	NOUN
ejpam-3012	381	3	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	381	4	of	of	ADP
ejpam-3012	381	5	hollow	hollow	ADJ
ejpam-3012	381	6	nanospheres	nanosphere	NOUN
ejpam-3012	381	7	.	.	PUNCT
ejpam-3012	382	1	j.	j.	PROPN
ejpam-3012	382	2	comput.theor	comput.theor	PROPN
ejpam-3012	382	3	.	.	PUNCT
ejpam-3012	383	1	nanosci	nanosci	PROPN
ejpam-3012	383	2	,	,	PUNCT
ejpam-3012	383	3	8:1727–1731	8:1727–1731	NUM
ejpam-3012	383	4	,	,	PUNCT
ejpam-3012	383	5	2011	2011	NUM
ejpam-3012	383	6	.	.	PUNCT
ejpam-3012	384	1	[	[	X
ejpam-3012	384	2	17	17	NUM
ejpam-3012	384	3	]	]	X
ejpam-3012	384	4	n	n	PRON
ejpam-3012	384	5	noda	noda	PROPN
ejpam-3012	384	6	.	.	PUNCT
ejpam-3012	385	1	thermal	thermal	ADJ
ejpam-3012	385	2	stresses	stress	NOUN
ejpam-3012	385	3	in	in	ADP
ejpam-3012	385	4	materials	material	NOUN
ejpam-3012	385	5	with	with	ADP
ejpam-3012	385	6	temperature	temperature	NOUN
ejpam-3012	385	7	-	-	PUNCT
ejpam-3012	385	8	dependent	dependent	ADJ
ejpam-3012	385	9	properties	property	NOUN
ejpam-3012	385	10	.	.	PUNCT
ejpam-3012	386	1	thermal	thermal	ADJ
ejpam-3012	386	2	stresses	stress	VERB
ejpam-3012	386	3	i	i	PRON
ejpam-3012	386	4	,	,	PUNCT
ejpam-3012	386	5	richard	richard	PROPN
ejpam-3012	386	6	b.	b.	PROPN
ejpam-3012	386	7	hetnarski	hetnarski	PROPN
ejpam-3012	386	8	(	(	PUNCT
ejpam-3012	386	9	editor	editor	NOUN
ejpam-3012	386	10	)	)	PUNCT
ejpam-3012	386	11	,	,	PUNCT
ejpam-3012	386	12	north	north	NOUN
ejpam-3012	386	13	-	-	PUNCT
ejpam-3012	386	14	holland	holland	PROPN
ejpam-3012	386	15	,	,	PUNCT
ejpam-3012	386	16	amsterdam	amsterdam	PROPN
ejpam-3012	386	17	,	,	PUNCT
ejpam-3012	386	18	1986	1986	NUM
ejpam-3012	386	19	.	.	PUNCT
ejpam-3012	387	1	[	[	X
ejpam-3012	387	2	18	18	NUM
ejpam-3012	387	3	]	]	X
ejpam-3012	387	4	j	j	PROPN
ejpam-3012	387	5	f	f	PROPN
ejpam-3012	387	6	nye	nye	PROPN
ejpam-3012	387	7	.	.	PROPN
ejpam-3012	387	8	physical	physical	ADJ
ejpam-3012	387	9	properties	property	NOUN
ejpam-3012	387	10	of	of	ADP
ejpam-3012	387	11	crystals	crystal	NOUN
ejpam-3012	387	12	.	.	PUNCT
ejpam-3012	388	1	clarendon	clarendon	PROPN
ejpam-3012	388	2	press	press	PROPN
ejpam-3012	388	3	,	,	PUNCT
ejpam-3012	388	4	oxford	oxford	PROPN
ejpam-3012	388	5	,	,	PUNCT
ejpam-3012	388	6	1957	1957	NUM
ejpam-3012	388	7	.	.	PUNCT
ejpam-3012	389	1	[	[	X
ejpam-3012	389	2	19	19	NUM
ejpam-3012	389	3	]	]	X
ejpam-3012	389	4	m	m	VERB
ejpam-3012	389	5	n	n	ADJ
ejpam-3012	389	6	ivanova	ivanova	X
ejpam-3012	389	7	o	o	PROPN
ejpam-3012	389	8	r	r	NOUN
ejpam-3012	389	9	budaev	budaev	NOUN
ejpam-3012	389	10	and	and	CCONJ
ejpam-3012	389	11	b	b	NOUN
ejpam-3012	389	12	b	b	NOUN
ejpam-3012	389	13	damdinov	damdinov	NOUN
ejpam-3012	389	14	.	.	PUNCT
ejpam-3012	390	1	temperature	temperature	NOUN
ejpam-3012	390	2	dependence	dependence	NOUN
ejpam-3012	390	3	of	of	ADP
ejpam-3012	390	4	shear	shear	NOUN
ejpam-3012	390	5	elasticity	elasticity	NOUN
ejpam-3012	390	6	of	of	ADP
ejpam-3012	390	7	some	some	DET
ejpam-3012	390	8	liquids	liquid	NOUN
ejpam-3012	390	9	.	.	PUNCT
ejpam-3012	391	1	adv	adv	PROPN
ejpam-3012	391	2	.	.	PUNCT
ejpam-3012	392	1	colloid	colloid	PROPN
ejpam-3012	392	2	interface	interface	PROPN
ejpam-3012	392	3	sci	sci	PROPN
ejpam-3012	392	4	.	.	PROPN
ejpam-3012	392	5	,	,	PUNCT
ejpam-3012	392	6	104:307–310	104:307–310	NUM
ejpam-3012	392	7	,	,	PUNCT
ejpam-3012	392	8	2003	2003	NUM
ejpam-3012	392	9	.	.	PUNCT
ejpam-3012	393	1	[	[	X
ejpam-3012	393	2	20	20	NUM
ejpam-3012	393	3	]	]	X
ejpam-3012	393	4	d	d	PROPN
ejpam-3012	393	5	m	m	PROPN
ejpam-3012	393	6	rowe	rowe	PROPN
ejpam-3012	393	7	.	.	PUNCT
ejpam-3012	394	1	thermoelectrics	thermoelectric	NOUN
ejpam-3012	394	2	handbook	handbook	VERB
ejpam-3012	394	3	:	:	PUNCT
ejpam-3012	394	4	macro	macro	ADV
ejpam-3012	394	5	to	to	ADP
ejpam-3012	394	6	nano	nano	NOUN
ejpam-3012	394	7	.	.	PUNCT
ejpam-3012	395	1	taylor	taylor	PROPN
ejpam-3012	395	2	&	&	CCONJ
ejpam-3012	395	3	francis	francis	PROPN
ejpam-3012	395	4	,	,	PUNCT
ejpam-3012	395	5	washington	washington	PROPN
ejpam-3012	395	6	,	,	PUNCT
ejpam-3012	395	7	2006	2006	NUM
ejpam-3012	395	8	.	.	PUNCT
ejpam-3012	396	1	[	[	X
ejpam-3012	396	2	21	21	NUM
ejpam-3012	396	3	]	]	X
ejpam-3012	396	4	b	b	X
ejpam-3012	396	5	santwana	santwana	PROPN
ejpam-3012	396	6	and	and	CCONJ
ejpam-3012	396	7	s	s	X
ejpam-3012	396	8	k	k	PROPN
ejpam-3012	396	9	roychoudhuri	roychoudhuri	PROPN
ejpam-3012	396	10	.	.	PUNCT
ejpam-3012	397	1	magneto	magneto	VERB
ejpam-3012	397	2	-	-	PUNCT
ejpam-3012	397	3	thermoelastic	thermoelastic	ADJ
ejpam-3012	397	4	interactions	interaction	NOUN
ejpam-3012	397	5	in	in	ADP
ejpam-3012	397	6	an	an	DET
ejpam-3012	397	7	infinite	infinite	ADJ
ejpam-3012	397	8	isotropic	isotropic	ADJ
ejpam-3012	397	9	elastic	elastic	ADJ
ejpam-3012	397	10	cylinder	cylinder	NOUN
ejpam-3012	397	11	subjected	subject	VERB
ejpam-3012	397	12	to	to	ADP
ejpam-3012	397	13	a	a	DET
ejpam-3012	397	14	periodic	periodic	ADJ
ejpam-3012	397	15	loading	loading	NOUN
ejpam-3012	397	16	.	.	PUNCT
ejpam-3012	398	1	int	int	NOUN
ejpam-3012	398	2	.	.	PUNCT
ejpam-3012	399	1	j.	j.	PROPN
ejpam-3012	399	2	eng	eng	PROPN
ejpam-3012	399	3	.	.	PUNCT
ejpam-3012	400	1	sci	sci	PROPN
ejpam-3012	400	2	.	.	PROPN
ejpam-3012	400	3	,	,	PUNCT
ejpam-3012	400	4	35:437–444	35:437–444	PROPN
ejpam-3012	400	5	,	,	PUNCT
ejpam-3012	400	6	1997	1997	NUM
ejpam-3012	400	7	.	.	PUNCT
ejpam-3012	401	1	[	[	X
ejpam-3012	401	2	22	22	NUM
ejpam-3012	401	3	]	]	X
ejpam-3012	401	4	h	h	NOUN
ejpam-3012	401	5	h	h	PROPN
ejpam-3012	401	6	sherief	sherief	NOUN
ejpam-3012	401	7	.	.	PUNCT
ejpam-3012	402	1	problem	problem	NOUN
ejpam-3012	402	2	in	in	ADP
ejpam-3012	402	3	electromagneto	electromagneto	NOUN
ejpam-3012	402	4	-	-	PUNCT
ejpam-3012	402	5	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	402	6	for	for	ADP
ejpam-3012	402	7	an	an	DET
ejpam-3012	402	8	infinitely	infinitely	ADV
ejpam-3012	402	9	long	long	ADJ
ejpam-3012	402	10	solid	solid	ADJ
ejpam-3012	402	11	conducting	conduct	VERB
ejpam-3012	402	12	circular	circular	ADJ
ejpam-3012	402	13	with	with	ADP
ejpam-3012	402	14	thermal	thermal	ADJ
ejpam-3012	402	15	relaxation	relaxation	NOUN
ejpam-3012	402	16	.	.	PUNCT
ejpam-3012	403	1	int	int	NOUN
ejpam-3012	403	2	.	.	PUNCT
ejpam-3012	404	1	j.	j.	PROPN
ejpam-3012	404	2	eng	eng	PROPN
ejpam-3012	404	3	.	.	PUNCT
ejpam-3012	405	1	sci	sci	PROPN
ejpam-3012	405	2	.	.	PROPN
ejpam-3012	405	3	,	,	PUNCT
ejpam-3012	405	4	32:1137–1149	32:1137–1149	NUM
ejpam-3012	405	5	,	,	PUNCT
ejpam-3012	405	6	1994	1994	NUM
ejpam-3012	405	7	.	.	PUNCT
ejpam-3012	406	1	[	[	X
ejpam-3012	406	2	23	23	NUM
ejpam-3012	406	3	]	]	X
ejpam-3012	406	4	h	h	NOUN
ejpam-3012	406	5	h	h	PROPN
ejpam-3012	406	6	sherief	sherief	NOUN
ejpam-3012	406	7	and	and	CCONJ
ejpam-3012	406	8	m	m	VERB
ejpam-3012	406	9	a	a	DET
ejpam-3012	406	10	ezzat	ezzat	ADJ
ejpam-3012	406	11	.	.	PUNCT
ejpam-3012	407	1	a	a	DET
ejpam-3012	407	2	problem	problem	NOUN
ejpam-3012	407	3	in	in	ADP
ejpam-3012	407	4	generalized	generalized	ADJ
ejpam-3012	407	5	magnetothermoelasticity	magnetothermoelasticity	NOUN
ejpam-3012	407	6	for	for	ADP
ejpam-3012	407	7	an	an	DET
ejpam-3012	407	8	infinitely	infinitely	ADV
ejpam-3012	407	9	long	long	ADJ
ejpam-3012	407	10	annular	annular	ADJ
ejpam-3012	407	11	cylinder	cylinder	NOUN
ejpam-3012	407	12	.	.	PUNCT
ejpam-3012	408	1	j.	j.	PROPN
ejpam-3012	408	2	eng	eng	PROPN
ejpam-3012	408	3	.	.	PROPN
ejpam-3012	408	4	math	math	PROPN
ejpam-3012	408	5	.	.	PUNCT
ejpam-3012	408	6	,	,	PUNCT
ejpam-3012	408	7	34:387–402	34:387–402	PROPN
ejpam-3012	408	8	,	,	PUNCT
ejpam-3012	408	9	1998	1998	NUM
ejpam-3012	408	10	.	.	PUNCT
ejpam-3012	409	1	[	[	X
ejpam-3012	409	2	24	24	NUM
ejpam-3012	409	3	]	]	X
ejpam-3012	409	4	d	d	X
ejpam-3012	409	5	y	y	PROPN
ejpam-3012	409	6	tzou	tzou	PROPN
ejpam-3012	409	7	.	.	PUNCT
ejpam-3012	410	1	a	a	DET
ejpam-3012	410	2	unified	unified	ADJ
ejpam-3012	410	3	field	field	NOUN
ejpam-3012	410	4	approach	approach	NOUN
ejpam-3012	410	5	for	for	ADP
ejpam-3012	410	6	heat	heat	NOUN
ejpam-3012	410	7	conduction	conduction	NOUN
ejpam-3012	410	8	from	from	ADP
ejpam-3012	410	9	macroto	macroto	PROPN
ejpam-3012	410	10	micro	micro	NOUN
ejpam-3012	410	11	-	-	NOUN
ejpam-3012	410	12	scales	scale	NOUN
ejpam-3012	410	13	.	.	PUNCT
ejpam-3012	411	1	j.	j.	PROPN
ejpam-3012	411	2	heat	heat	PROPN
ejpam-3012	411	3	transfer	transfer	NOUN
ejpam-3012	411	4	,	,	PUNCT
ejpam-3012	411	5	117:8–16	117:8–16	NUM
ejpam-3012	411	6	,	,	PUNCT
ejpam-3012	411	7	1995	1995	NUM
ejpam-3012	411	8	.	.	PUNCT
ejpam-3012	412	1	[	[	X
ejpam-3012	412	2	25	25	NUM
ejpam-3012	412	3	]	]	X
ejpam-3012	412	4	d	d	X
ejpam-3012	412	5	y	y	PROPN
ejpam-3012	412	6	tzou	tzou	PROPN
ejpam-3012	412	7	.	.	PUNCT
ejpam-3012	413	1	macro	macro	NOUN
ejpam-3012	413	2	-	-	PUNCT
ejpam-3012	413	3	to	to	ADP
ejpam-3012	413	4	microscale	microscale	ADJ
ejpam-3012	413	5	heat	heat	NOUN
ejpam-3012	413	6	transfer	transfer	NOUN
ejpam-3012	413	7	:	:	PUNCT
ejpam-3012	413	8	the	the	DET
ejpam-3012	413	9	lagging	lag	VERB
ejpam-3012	413	10	behavior	behavior	NOUN
ejpam-3012	413	11	.	.	PUNCT
ejpam-3012	414	1	taylor	taylor	PROPN
ejpam-3012	414	2	&	&	CCONJ
ejpam-3012	414	3	francis	francis	PROPN
ejpam-3012	414	4	,	,	PUNCT
ejpam-3012	414	5	washington	washington	PROPN
ejpam-3012	414	6	,	,	PUNCT
ejpam-3012	414	7	1996	1996	NUM
ejpam-3012	414	8	.	.	PUNCT
ejpam-3012	415	1	[	[	X
ejpam-3012	415	2	26	26	NUM
ejpam-3012	415	3	]	]	X
ejpam-3012	415	4	k	k	PROPN
ejpam-3012	415	5	g	g	PROPN
ejpam-3012	415	6	akinin	akinin	PROPN
ejpam-3012	415	7	v	v	PROPN
ejpam-3012	415	8	v	v	ADP
ejpam-3012	415	9	rishin	rishin	NOUN
ejpam-3012	415	10	,	,	PUNCT
ejpam-3012	415	11	b	b	X
ejpam-3012	415	12	a	a	DET
ejpam-3012	415	13	lyashenko	lyashenko	NOUN
ejpam-3012	415	14	and	and	CCONJ
ejpam-3012	415	15	g	g	PROPN
ejpam-3012	415	16	n	n	CCONJ
ejpam-3012	415	17	nadezhdin	nadezhdin	PROPN
ejpam-3012	415	18	.	.	PUNCT
ejpam-3012	416	1	temperature	temperature	NOUN
ejpam-3012	416	2	dependence	dependence	NOUN
ejpam-3012	416	3	of	of	ADP
ejpam-3012	416	4	adhesion	adhesion	NOUN
ejpam-3012	416	5	strength	strength	NOUN
ejpam-3012	416	6	and	and	CCONJ
ejpam-3012	416	7	elasticity	elasticity	NOUN
ejpam-3012	416	8	of	of	ADP
ejpam-3012	416	9	some	some	DET
ejpam-3012	416	10	resistant	resistant	ADJ
ejpam-3012	416	11	coatings	coating	NOUN
ejpam-3012	416	12	.	.	PUNCT
ejpam-3012	417	1	strength	strength	NOUN
ejpam-3012	417	2	mater	mater	PROPN
ejpam-3012	417	3	.	.	PUNCT
ejpam-3012	417	4	,	,	PUNCT
ejpam-3012	417	5	5:123–126	5:123–126	NUM
ejpam-3012	417	6	,	,	PUNCT
ejpam-3012	417	7	1973	1973	NUM
ejpam-3012	417	8	.	.	PUNCT
ejpam-3012	418	1	[	[	X
ejpam-3012	418	2	27	27	NUM
ejpam-3012	418	3	]	]	X
ejpam-3012	418	4	a	a	DET
ejpam-3012	418	5	m	m	NOUN
ejpam-3012	418	6	zenkour	zenkour	NOUN
ejpam-3012	418	7	.	.	PUNCT
ejpam-3012	419	1	three	three	NUM
ejpam-3012	419	2	-	-	PUNCT
ejpam-3012	419	3	dimensional	dimensional	ADJ
ejpam-3012	419	4	thermal	thermal	ADJ
ejpam-3012	419	5	shock	shock	NOUN
ejpam-3012	419	6	plate	plate	NOUN
ejpam-3012	419	7	problem	problem	NOUN
ejpam-3012	419	8	within	within	ADP
ejpam-3012	419	9	the	the	DET
ejpam-3012	419	10	framework	framework	NOUN
ejpam-3012	419	11	of	of	ADP
ejpam-3012	419	12	different	different	ADJ
ejpam-3012	419	13	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	419	14	theories	theory	NOUN
ejpam-3012	419	15	.	.	PUNCT
ejpam-3012	420	1	compos	compos	NOUN
ejpam-3012	420	2	.	.	PUNCT
ejpam-3012	421	1	struct	struct	NOUN
ejpam-3012	421	2	.	.	PUNCT
ejpam-3012	421	3	,	,	PUNCT
ejpam-3012	421	4	132:1029–1042	132:1029–1042	NUM
ejpam-3012	421	5	,	,	PUNCT
ejpam-3012	421	6	2015	2015	NUM
ejpam-3012	421	7	.	.	PUNCT
ejpam-3012	422	1	references	reference	NOUN
ejpam-3012	422	2	808	808	NUM
ejpam-3012	423	1	[	[	X
ejpam-3012	423	2	28	28	NUM
ejpam-3012	423	3	]	]	X
ejpam-3012	423	4	a	a	DET
ejpam-3012	423	5	m	m	NOUN
ejpam-3012	423	6	zenkour	zenkour	NOUN
ejpam-3012	423	7	and	and	CCONJ
ejpam-3012	423	8	i	i	PRON
ejpam-3012	423	9	a	a	DET
ejpam-3012	423	10	abbas	abbas	NOUN
ejpam-3012	423	11	.	.	PUNCT
ejpam-3012	424	1	a	a	DET
ejpam-3012	424	2	generalized	generalized	ADJ
ejpam-3012	424	3	thermoelasticity	thermoelasticity	NOUN
ejpam-3012	424	4	problem	problem	NOUN
ejpam-3012	424	5	of	of	ADP
ejpam-3012	424	6	an	an	DET
ejpam-3012	424	7	annular	annular	ADJ
ejpam-3012	424	8	cylinder	cylinder	NOUN
ejpam-3012	424	9	with	with	ADP
ejpam-3012	424	10	temperature	temperature	NOUN
ejpam-3012	424	11	-	-	PUNCT
ejpam-3012	424	12	dependent	dependent	ADJ
ejpam-3012	424	13	density	density	NOUN
ejpam-3012	424	14	and	and	CCONJ
ejpam-3012	424	15	material	material	NOUN
ejpam-3012	424	16	properties	property	NOUN
ejpam-3012	424	17	.	.	PUNCT
ejpam-3012	425	1	int	int	NOUN
ejpam-3012	425	2	.	.	PUNCT
ejpam-3012	426	1	j.	j.	PROPN
ejpam-3012	426	2	mech	mech	PROPN
ejpam-3012	426	3	.	.	PUNCT
ejpam-3012	427	1	sci	sci	PROPN
ejpam-3012	427	2	.	.	PROPN
ejpam-3012	427	3	,	,	PUNCT
ejpam-3012	427	4	84:54–60	84:54–60	PROPN
ejpam-3012	427	5	,	,	PUNCT
ejpam-3012	427	6	2014	2014	NUM
ejpam-3012	427	7	.	.	PUNCT
ejpam-3012	428	1	[	[	X
ejpam-3012	428	2	29	29	NUM
ejpam-3012	428	3	]	]	X
ejpam-3012	428	4	a	a	DET
ejpam-3012	428	5	m	m	NOUN
ejpam-3012	428	6	zenkour	zenkour	NOUN
ejpam-3012	429	1	and	and	CCONJ
ejpam-3012	429	2	i	i	PRON
ejpam-3012	429	3	a	a	DET
ejpam-3012	429	4	abbas	abbas	PROPN
ejpam-3012	429	5	.	.	PUNCT
ejpam-3012	430	1	nonlinear	nonlinear	ADJ
ejpam-3012	430	2	transient	transient	ADJ
ejpam-3012	430	3	thermal	thermal	ADJ
ejpam-3012	430	4	stress	stress	NOUN
ejpam-3012	430	5	analysis	analysis	NOUN
ejpam-3012	430	6	of	of	ADP
ejpam-3012	430	7	temperature	temperature	NOUN
ejpam-3012	430	8	-	-	PUNCT
ejpam-3012	430	9	dependent	dependent	ADJ
ejpam-3012	430	10	hollow	hollow	ADJ
ejpam-3012	430	11	cylinders	cylinder	NOUN
ejpam-3012	430	12	using	use	VERB
ejpam-3012	430	13	a	a	DET
ejpam-3012	430	14	finite	finite	ADJ
ejpam-3012	430	15	element	element	NOUN
ejpam-3012	430	16	model	model	NOUN
ejpam-3012	430	17	.	.	PUNCT
ejpam-3012	431	1	int	int	NOUN
ejpam-3012	431	2	.	.	PUNCT
ejpam-3012	432	1	j.	j.	PROPN
ejpam-3012	432	2	struct	struct	PROPN
ejpam-3012	432	3	stab	stab	NOUN
ejpam-3012	432	4	.	.	PUNCT
ejpam-3012	433	1	dynam	dynam	PROPN
ejpam-3012	433	2	.	.	PUNCT
ejpam-3012	433	3	,	,	PUNCT
ejpam-3012	433	4	14:1450025	14:1450025	NUM
ejpam-3012	433	5	(	(	PUNCT
ejpam-3012	433	6	17	17	NUM
ejpam-3012	433	7	pages	page	NOUN
ejpam-3012	433	8	)	)	PUNCT
ejpam-3012	433	9	,	,	PUNCT
ejpam-3012	433	10	2014	2014	NUM
ejpam-3012	433	11	.	.	PUNCT
ejpam-3012	434	1	[	[	X
ejpam-3012	434	2	30	30	NUM
ejpam-3012	434	3	]	]	X
ejpam-3012	434	4	a	a	DET
ejpam-3012	434	5	m	m	NOUN
ejpam-3012	434	6	zenkour	zenkour	NOUN
ejpam-3012	435	1	and	and	CCONJ
ejpam-3012	435	2	i	i	PRON
ejpam-3012	435	3	a	a	DET
ejpam-3012	435	4	abbas	abbas	NOUN
ejpam-3012	435	5	.	.	PUNCT
ejpam-3012	436	1	electro	electro	PROPN
ejpam-3012	436	2	-	-	PUNCT
ejpam-3012	436	3	magneto	magneto	NOUN
ejpam-3012	436	4	-	-	PUNCT
ejpam-3012	436	5	thermo	thermo	NOUN
ejpam-3012	436	6	-	-	PUNCT
ejpam-3012	436	7	elastic	elastic	ADJ
ejpam-3012	436	8	response	response	NOUN
ejpam-3012	436	9	of	of	ADP
ejpam-3012	436	10	infinite	infinite	ADJ
ejpam-3012	436	11	functionally	functionally	ADV
ejpam-3012	436	12	graded	grade	VERB
ejpam-3012	436	13	cylinders	cylinder	NOUN
ejpam-3012	436	14	without	without	ADP
ejpam-3012	436	15	energy	energy	NOUN
ejpam-3012	436	16	dissipation	dissipation	NOUN
ejpam-3012	436	17	.	.	PUNCT
ejpam-3012	437	1	j.	j.	PROPN
ejpam-3012	437	2	magnetism	magnetism	PROPN
ejpam-3012	437	3	magnetic	magnetic	PROPN
ejpam-3012	437	4	mater	mater	PROPN
ejpam-3012	437	5	.	.	PROPN
ejpam-3012	437	6	,	,	PUNCT
ejpam-3012	437	7	395:123–129	395:123–129	NUM
ejpam-3012	437	8	,	,	PUNCT
ejpam-3012	437	9	2015	2015	NUM
ejpam-3012	437	10	.	.	PUNCT
ejpam-3012	438	1	[	[	X
ejpam-3012	438	2	31	31	NUM
ejpam-3012	438	3	]	]	PUNCT
ejpam-3012	438	4	a	a	DET
ejpam-3012	438	5	m	m	NOUN
ejpam-3012	438	6	zenkour	zenkour	NOUN
ejpam-3012	438	7	and	and	CCONJ
ejpam-3012	438	8	a	a	DET
ejpam-3012	438	9	e	e	NOUN
ejpam-3012	438	10	abouelregal	abouelregal	ADJ
ejpam-3012	438	11	.	.	PUNCT
ejpam-3012	439	1	nonlocal	nonlocal	ADJ
ejpam-3012	439	2	thermoelastic	thermoelastic	ADJ
ejpam-3012	439	3	nanobeam	nanobeam	NOUN
ejpam-3012	439	4	subjected	subject	VERB
ejpam-3012	439	5	to	to	ADP
ejpam-3012	439	6	a	a	DET
ejpam-3012	439	7	sinusoidal	sinusoidal	ADJ
ejpam-3012	439	8	pulse	pulse	NOUN
ejpam-3012	439	9	heating	heating	NOUN
ejpam-3012	439	10	and	and	CCONJ
ejpam-3012	439	11	temperature	temperature	NOUN
ejpam-3012	439	12	-	-	PUNCT
ejpam-3012	439	13	dependent	dependent	ADJ
ejpam-3012	439	14	physical	physical	ADJ
ejpam-3012	439	15	properties	property	NOUN
ejpam-3012	439	16	.	.	PUNCT
ejpam-3012	440	1	microsyst	microsyst	NOUN
ejpam-3012	440	2	.	.	PUNCT
ejpam-3012	441	1	techno	techno	NOUN
ejpam-3012	441	2	.	.	PUNCT
ejpam-3012	441	3	,	,	PUNCT
ejpam-3012	441	4	21:1767–1776	21:1767–1776	NUM
ejpam-3012	441	5	,	,	PUNCT
ejpam-3012	441	6	2015	2015	NUM
ejpam-3012	441	7	.	.	PUNCT
ejpam-3012	442	1	[	[	X
ejpam-3012	442	2	32	32	NUM
ejpam-3012	442	3	]	]	PUNCT
ejpam-3012	442	4	a.m.	a.m.	PROPN
ejpam-3012	442	5	zenkour	zenkour	PROPN
ejpam-3012	442	6	.	.	PUNCT
ejpam-3012	443	1	effect	effect	NOUN
ejpam-3012	443	2	of	of	ADP
ejpam-3012	443	3	temperature	temperature	NOUN
ejpam-3012	443	4	-	-	PUNCT
ejpam-3012	443	5	dependent	dependent	ADJ
ejpam-3012	443	6	physical	physical	ADJ
ejpam-3012	443	7	properties	property	NOUN
ejpam-3012	443	8	on	on	ADP
ejpam-3012	443	9	nanobeam	nanobeam	ADJ
ejpam-3012	443	10	structures	structure	NOUN
ejpam-3012	443	11	induced	induce	VERB
ejpam-3012	443	12	by	by	ADP
ejpam-3012	443	13	ramp	ramp	NOUN
ejpam-3012	443	14	-	-	PUNCT
ejpam-3012	443	15	type	type	NOUN
ejpam-3012	443	16	heating	heating	NOUN
ejpam-3012	443	17	.	.	PUNCT
ejpam-3012	444	1	ksce	ksce	PROPN
ejpam-3012	444	2	j.	j.	PROPN
ejpam-3012	444	3	civil	civil	PROPN
ejpam-3012	444	4	eng	eng	PROPN
ejpam-3012	444	5	.	.	PROPN
ejpam-3012	444	6	,	,	PUNCT
ejpam-3012	444	7	21:1820–1828	21:1820–1828	NUM
ejpam-3012	444	8	,	,	PUNCT
ejpam-3012	444	9	2017	2017	NUM
ejpam-3012	444	10	.	.	PUNCT