id	sid	tid	token	lemma	pos
fis-1244	1	1	microsoft	microsoft	PROPN
fis-1244	1	2	word	word	NOUN
fis-1244	1	3	numero_29_art_12	numero_29_art_12	NOUN
fis-1244	1	4	a.	a.	PROPN
fis-1244	1	5	castellano	castellano	PROPN
fis-1244	1	6	et	et	PROPN
fis-1244	1	7	alii	alii	PROPN
fis-1244	1	8	,	,	PUNCT
fis-1244	1	9	frattura	frattura	PROPN
fis-1244	1	10	ed	ed	PROPN
fis-1244	1	11	integrità	integrità	PROPN
fis-1244	1	12	strutturale	strutturale	PROPN
fis-1244	1	13	,	,	PUNCT
fis-1244	1	14	29	29	NUM
fis-1244	1	15	(	(	PUNCT
fis-1244	1	16	2014	2014	NUM
fis-1244	1	17	)	)	PUNCT
fis-1244	1	18	128	128	NUM
fis-1244	1	19	-	-	SYM
fis-1244	1	20	138	138	NUM
fis-1244	1	21	;	;	PUNCT
fis-1244	1	22	doi	doi	NOUN
fis-1244	1	23	:	:	PUNCT
fis-1244	1	24	10.3221	10.3221	NUM
fis-1244	1	25	/	/	SYM
fis-1244	1	26	igf	igf	PROPN
fis-1244	1	27	-	-	PUNCT
fis-1244	1	28	esis.29.12	esis.29.12	PROPN
fis-1244	1	29	128	128	NUM
fis-1244	1	30	focussed	focusse	VERB
fis-1244	1	31	on	on	ADP
fis-1244	1	32	:	:	PUNCT
fis-1244	1	33	computational	computational	ADJ
fis-1244	1	34	mechanics	mechanic	NOUN
fis-1244	1	35	and	and	CCONJ
fis-1244	1	36	mechanics	mechanic	NOUN
fis-1244	1	37	of	of	ADP
fis-1244	1	38	materials	material	NOUN
fis-1244	1	39	in	in	ADP
fis-1244	1	40	italy	italy	PROPN
fis-1244	1	41	geometric	geometric	ADJ
fis-1244	1	42	numerical	numerical	ADJ
fis-1244	1	43	integrators	integrator	NOUN
fis-1244	1	44	based	base	VERB
fis-1244	1	45	on	on	ADP
fis-1244	1	46	the	the	DET
fis-1244	1	47	magnus	magnus	PROPN
fis-1244	1	48	expansion	expansion	NOUN
fis-1244	1	49	in	in	ADP
fis-1244	1	50	bifurcation	bifurcation	NOUN
fis-1244	1	51	problems	problem	NOUN
fis-1244	1	52	for	for	ADP
fis-1244	1	53	non	non	ADJ
fis-1244	1	54	-	-	ADJ
fis-1244	1	55	linear	linear	ADJ
fis-1244	1	56	elastic	elastic	ADJ
fis-1244	1	57	solids	solid	NOUN
fis-1244	1	58	a.	a.	NOUN
fis-1244	1	59	castellano	castellano	PROPN
fis-1244	1	60	,	,	PUNCT
fis-1244	1	61	p.	p.	PROPN
fis-1244	1	62	foti	foti	PROPN
fis-1244	1	63	,	,	PUNCT
fis-1244	1	64	a.	a.	NOUN
fis-1244	1	65	fraddosio	fraddosio	PROPN
fis-1244	1	66	,	,	PUNCT
fis-1244	1	67	s.	s.	PROPN
fis-1244	1	68	marzano	marzano	PROPN
fis-1244	1	69	,	,	PUNCT
fis-1244	1	70	m.	m.	PROPN
fis-1244	1	71	d.	d.	PROPN
fis-1244	1	72	piccioni	piccioni	PROPN
fis-1244	1	73	politecnico	politecnico	PROPN
fis-1244	1	74	di	di	PROPN
fis-1244	1	75	bari	bari	NOUN
fis-1244	1	76	–	–	PUNCT
fis-1244	1	77	dipartimento	dipartimento	ADP
fis-1244	1	78	di	di	X
fis-1244	1	79	scienze	scienze	PROPN
fis-1244	1	80	dell’ingegneria	dell’ingegneria	PROPN
fis-1244	1	81	civile	civile	PROPN
fis-1244	1	82	e	e	PROPN
fis-1244	1	83	dell’architettura	dell’architettura	NOUN
fis-1244	1	84	anna.castellano@poliba.it	anna.castellano@poliba.it	NOUN
fis-1244	1	85	,	,	PUNCT
fis-1244	1	86	pilade.foti@poliba.it	pilade.foti@poliba.it	NOUN
fis-1244	1	87	,	,	PUNCT
fis-1244	1	88	a.fraddosio@poliba.it	a.fraddosio@poliba.it	NOUN
fis-1244	1	89	,	,	PUNCT
fis-1244	1	90	s.marzano@poliba.it	s.marzano@poliba.it	NOUN
fis-1244	1	91	,	,	PUNCT
fis-1244	1	92	m.d.piccioni@poliba.it	m.d.piccioni@poliba.it	NOUN
fis-1244	1	93	abstract	abstract	ADJ
fis-1244	1	94	.	.	PUNCT
fis-1244	2	1	we	we	PRON
fis-1244	2	2	illustrate	illustrate	VERB
fis-1244	2	3	a	a	DET
fis-1244	2	4	procedure	procedure	NOUN
fis-1244	2	5	based	base	VERB
fis-1244	2	6	on	on	ADP
fis-1244	2	7	the	the	DET
fis-1244	2	8	magnus	magnus	PROPN
fis-1244	2	9	expansion	expansion	NOUN
fis-1244	2	10	for	for	ADP
fis-1244	2	11	studying	study	VERB
fis-1244	2	12	mechanical	mechanical	ADJ
fis-1244	2	13	problems	problem	NOUN
fis-1244	2	14	which	which	PRON
fis-1244	2	15	lead	lead	VERB
fis-1244	2	16	to	to	ADP
fis-1244	2	17	non	non	ADJ
fis-1244	2	18	-	-	ADJ
fis-1244	2	19	autonomous	autonomous	ADJ
fis-1244	2	20	systems	system	NOUN
fis-1244	2	21	of	of	ADP
fis-1244	2	22	linear	linear	ADJ
fis-1244	2	23	ode	ode	PROPN
fis-1244	2	24	’s	’s	NOUN
fis-1244	2	25	.	.	PUNCT
fis-1244	3	1	the	the	DET
fis-1244	3	2	effectiveness	effectiveness	NOUN
fis-1244	3	3	of	of	ADP
fis-1244	3	4	the	the	DET
fis-1244	3	5	magnus	magnus	PROPN
fis-1244	3	6	method	method	NOUN
fis-1244	3	7	is	be	AUX
fis-1244	3	8	enlighten	enlighten	VERB
fis-1244	3	9	by	by	ADP
fis-1244	3	10	the	the	DET
fis-1244	3	11	analysis	analysis	NOUN
fis-1244	3	12	of	of	ADP
fis-1244	3	13	a	a	DET
fis-1244	3	14	bifurcation	bifurcation	NOUN
fis-1244	3	15	problem	problem	NOUN
fis-1244	3	16	in	in	ADP
fis-1244	3	17	the	the	DET
fis-1244	3	18	framework	framework	NOUN
fis-1244	3	19	of	of	ADP
fis-1244	3	20	three	three	NUM
fis-1244	3	21	-	-	PUNCT
fis-1244	3	22	dimensional	dimensional	ADJ
fis-1244	3	23	non	non	ADJ
fis-1244	3	24	-	-	ADJ
fis-1244	3	25	linear	linear	ADJ
fis-1244	3	26	elasticity	elasticity	NOUN
fis-1244	3	27	.	.	PUNCT
fis-1244	4	1	in	in	ADP
fis-1244	4	2	particular	particular	ADJ
fis-1244	4	3	,	,	PUNCT
fis-1244	4	4	for	for	ADP
fis-1244	4	5	an	an	DET
fis-1244	4	6	isotropic	isotropic	ADJ
fis-1244	4	7	compressible	compressible	ADJ
fis-1244	4	8	elastic	elastic	ADJ
fis-1244	4	9	tube	tube	NOUN
fis-1244	4	10	subject	subject	NOUN
fis-1244	4	11	to	to	ADP
fis-1244	4	12	an	an	DET
fis-1244	4	13	azimuthal	azimuthal	ADJ
fis-1244	4	14	shear	shear	NOUN
fis-1244	4	15	primary	primary	ADJ
fis-1244	4	16	deformation	deformation	NOUN
fis-1244	4	17	we	we	PRON
fis-1244	4	18	study	study	VERB
fis-1244	4	19	the	the	DET
fis-1244	4	20	possibility	possibility	NOUN
fis-1244	4	21	of	of	ADP
fis-1244	4	22	axially	axially	ADV
fis-1244	4	23	periodic	periodic	ADJ
fis-1244	4	24	twist	twist	NOUN
fis-1244	4	25	-	-	PUNCT
fis-1244	4	26	like	like	ADJ
fis-1244	4	27	bifurcations	bifurcation	NOUN
fis-1244	4	28	.	.	PUNCT
fis-1244	5	1	the	the	DET
fis-1244	5	2	approximate	approximate	ADJ
fis-1244	5	3	matricant	matricant	NOUN
fis-1244	5	4	of	of	ADP
fis-1244	5	5	the	the	DET
fis-1244	5	6	resulting	result	VERB
fis-1244	5	7	differential	differential	ADJ
fis-1244	5	8	problem	problem	NOUN
fis-1244	5	9	and	and	CCONJ
fis-1244	5	10	the	the	DET
fis-1244	5	11	first	first	ADJ
fis-1244	5	12	singular	singular	ADJ
fis-1244	5	13	value	value	NOUN
fis-1244	5	14	of	of	ADP
fis-1244	5	15	the	the	DET
fis-1244	5	16	bifurcating	bifurcate	VERB
fis-1244	5	17	load	load	NOUN
fis-1244	5	18	corresponding	correspond	VERB
fis-1244	5	19	to	to	ADP
fis-1244	5	20	a	a	DET
fis-1244	5	21	non	non	ADJ
fis-1244	5	22	-	-	ADJ
fis-1244	5	23	trivial	trivial	ADJ
fis-1244	5	24	bifurcation	bifurcation	NOUN
fis-1244	5	25	are	be	AUX
fis-1244	5	26	determined	determine	VERB
fis-1244	5	27	by	by	ADP
fis-1244	5	28	employing	employ	VERB
fis-1244	5	29	a	a	DET
fis-1244	5	30	simplified	simplified	ADJ
fis-1244	5	31	version	version	NOUN
fis-1244	5	32	of	of	ADP
fis-1244	5	33	the	the	DET
fis-1244	5	34	magnus	magnus	PROPN
fis-1244	5	35	method	method	NOUN
fis-1244	5	36	,	,	PUNCT
fis-1244	5	37	characterized	characterize	VERB
fis-1244	5	38	by	by	ADP
fis-1244	5	39	a	a	DET
fis-1244	5	40	truncation	truncation	NOUN
fis-1244	5	41	of	of	ADP
fis-1244	5	42	the	the	DET
fis-1244	5	43	magnus	magnus	PROPN
fis-1244	5	44	series	series	NOUN
fis-1244	5	45	after	after	ADP
fis-1244	5	46	the	the	DET
fis-1244	5	47	second	second	ADJ
fis-1244	5	48	term	term	NOUN
fis-1244	5	49	.	.	PUNCT
fis-1244	6	1	keywords	keyword	NOUN
fis-1244	6	2	.	.	PUNCT
fis-1244	7	1	nonlinear	nonlinear	ADJ
fis-1244	7	2	elasticity	elasticity	NOUN
fis-1244	7	3	;	;	PUNCT
fis-1244	7	4	bifurcation	bifurcation	NOUN
fis-1244	7	5	;	;	PUNCT
fis-1244	7	6	geometric	geometric	ADJ
fis-1244	7	7	numerical	numerical	ADJ
fis-1244	7	8	integrators	integrator	NOUN
fis-1244	7	9	;	;	PUNCT
fis-1244	7	10	magnus	magnus	PROPN
fis-1244	7	11	expansion	expansion	NOUN
fis-1244	7	12	.	.	PUNCT
fis-1244	8	1	introduction	introduction	NOUN
fis-1244	8	2	n	n	ADP
fis-1244	8	3	the	the	DET
fis-1244	8	4	framework	framework	NOUN
fis-1244	8	5	of	of	ADP
fis-1244	8	6	three	three	NUM
fis-1244	8	7	-	-	PUNCT
fis-1244	8	8	dimensional	dimensional	ADJ
fis-1244	8	9	non	non	ADJ
fis-1244	8	10	-	-	ADJ
fis-1244	8	11	linear	linear	ADJ
fis-1244	8	12	elasticity	elasticity	NOUN
fis-1244	8	13	,	,	PUNCT
fis-1244	8	14	a	a	DET
fis-1244	8	15	number	number	NOUN
fis-1244	8	16	of	of	ADP
fis-1244	8	17	“	"	PUNCT
fis-1244	8	18	small	small	ADJ
fis-1244	8	19	on	on	ADP
fis-1244	8	20	large	large	ADJ
fis-1244	8	21	”	"	PUNCT
fis-1244	8	22	bifurcation	bifurcation	NOUN
fis-1244	8	23	problems	problem	NOUN
fis-1244	8	24	lead	lead	VERB
fis-1244	8	25	to	to	ADP
fis-1244	8	26	the	the	DET
fis-1244	8	27	analysis	analysis	NOUN
fis-1244	8	28	of	of	ADP
fis-1244	8	29	a	a	DET
fis-1244	8	30	system	system	NOUN
fis-1244	8	31	of	of	ADP
fis-1244	8	32	linear	linear	ADJ
fis-1244	8	33	second	second	ADJ
fis-1244	8	34	order	order	NOUN
fis-1244	8	35	ode	ode	NOUN
fis-1244	8	36	’s	’s	NOUN
fis-1244	8	37	with	with	ADP
fis-1244	8	38	varying	vary	VERB
fis-1244	8	39	coefficients	coefficient	NOUN
fis-1244	8	40	.	.	PUNCT
fis-1244	9	1	it	it	PRON
fis-1244	9	2	is	be	AUX
fis-1244	9	3	a	a	DET
fis-1244	9	4	common	common	ADJ
fis-1244	9	5	practice	practice	NOUN
fis-1244	9	6	to	to	PART
fis-1244	9	7	reduce	reduce	VERB
fis-1244	9	8	the	the	DET
fis-1244	9	9	system	system	NOUN
fis-1244	9	10	of	of	ADP
fis-1244	9	11	linear	linear	ADJ
fis-1244	9	12	second	second	ADJ
fis-1244	9	13	order	order	NOUN
fis-1244	9	14	ode	ode	NOUN
fis-1244	9	15	’s	’s	NOUN
fis-1244	9	16	to	to	ADP
fis-1244	9	17	a	a	DET
fis-1244	9	18	simpler	simple	ADJ
fis-1244	9	19	non	non	ADJ
fis-1244	9	20	-	-	ADJ
fis-1244	9	21	autonomous	autonomous	ADJ
fis-1244	9	22	first	first	ADJ
fis-1244	9	23	order	order	NOUN
fis-1244	9	24	linear	linear	ADJ
fis-1244	9	25	ode	ode	ADJ
fis-1244	9	26	system	system	NOUN
fis-1244	9	27	.	.	PUNCT
fis-1244	10	1	nevertheless	nevertheless	ADV
fis-1244	10	2	,	,	PUNCT
fis-1244	10	3	the	the	DET
fis-1244	10	4	resulting	result	VERB
fis-1244	10	5	differential	differential	ADJ
fis-1244	10	6	system	system	NOUN
fis-1244	10	7	may	may	AUX
fis-1244	10	8	be	be	AUX
fis-1244	10	9	somewhat	somewhat	ADV
fis-1244	10	10	complex	complex	ADJ
fis-1244	10	11	and	and	CCONJ
fis-1244	10	12	only	only	ADV
fis-1244	10	13	numerically	numerically	ADV
fis-1244	10	14	tractable	tractable	ADJ
fis-1244	10	15	;	;	PUNCT
fis-1244	10	16	thus	thus	ADV
fis-1244	10	17	,	,	PUNCT
fis-1244	10	18	it	it	PRON
fis-1244	10	19	is	be	AUX
fis-1244	10	20	crucial	crucial	ADJ
fis-1244	10	21	to	to	PART
fis-1244	10	22	adopt	adopt	VERB
fis-1244	10	23	an	an	DET
fis-1244	10	24	adequate	adequate	ADJ
fis-1244	10	25	strategy	strategy	NOUN
fis-1244	10	26	for	for	ADP
fis-1244	10	27	obtaining	obtain	VERB
fis-1244	10	28	an	an	DET
fis-1244	10	29	accurate	accurate	ADJ
fis-1244	10	30	numerical	numerical	ADJ
fis-1244	10	31	solution	solution	NOUN
fis-1244	10	32	for	for	ADP
fis-1244	10	33	determining	determine	VERB
fis-1244	10	34	the	the	DET
fis-1244	10	35	critical	critical	ADJ
fis-1244	10	36	load	load	NOUN
fis-1244	10	37	and	and	CCONJ
fis-1244	10	38	the	the	DET
fis-1244	10	39	corresponding	corresponding	ADJ
fis-1244	10	40	bifurcation	bifurcation	NOUN
fis-1244	10	41	deformation	deformation	NOUN
fis-1244	10	42	field	field	NOUN
fis-1244	10	43	.	.	PUNCT
fis-1244	11	1	for	for	ADP
fis-1244	11	2	example	example	NOUN
fis-1244	11	3	,	,	PUNCT
fis-1244	11	4	approximate	approximate	ADJ
fis-1244	11	5	expressions	expression	NOUN
fis-1244	11	6	of	of	ADP
fis-1244	11	7	the	the	DET
fis-1244	11	8	matricant	matricant	NOUN
fis-1244	11	9	of	of	ADP
fis-1244	11	10	non	non	ADJ
fis-1244	11	11	-	-	ADJ
fis-1244	11	12	autonomous	autonomous	ADJ
fis-1244	11	13	linear	linear	ADJ
fis-1244	11	14	ode	ode	PROPN
fis-1244	11	15	systems	system	NOUN
fis-1244	11	16	,	,	PUNCT
fis-1244	11	17	based	base	VERB
fis-1244	11	18	either	either	CCONJ
fis-1244	11	19	on	on	ADP
fis-1244	11	20	the	the	DET
fis-1244	11	21	multiplicative	multiplicative	ADJ
fis-1244	11	22	integral	integral	NOUN
fis-1244	11	23	of	of	ADP
fis-1244	11	24	volterra	volterra	NOUN
fis-1244	11	25	or	or	CCONJ
fis-1244	11	26	on	on	ADP
fis-1244	11	27	the	the	DET
fis-1244	11	28	truncated	truncated	ADJ
fis-1244	11	29	peano	peano	NOUN
fis-1244	11	30	expansion	expansion	NOUN
fis-1244	11	31	,	,	PUNCT
fis-1244	11	32	have	have	AUX
fis-1244	11	33	been	be	AUX
fis-1244	11	34	recently	recently	ADV
fis-1244	11	35	proposed	propose	VERB
fis-1244	11	36	for	for	ADP
fis-1244	11	37	bifurcation	bifurcation	NOUN
fis-1244	11	38	problems	problem	NOUN
fis-1244	11	39	analyzed	analyze	VERB
fis-1244	11	40	by	by	ADP
fis-1244	11	41	means	mean	NOUN
fis-1244	11	42	of	of	ADP
fis-1244	11	43	the	the	DET
fis-1244	11	44	stroh	stroh	PROPN
fis-1244	11	45	approach	approach	NOUN
fis-1244	11	46	within	within	ADP
fis-1244	11	47	the	the	DET
fis-1244	11	48	so	so	ADV
fis-1244	11	49	-	-	PUNCT
fis-1244	11	50	called	call	VERB
fis-1244	11	51	sextic	sextic	ADJ
fis-1244	11	52	formalism	formalism	NOUN
fis-1244	11	53	[	[	X
fis-1244	11	54	1	1	NUM
fis-1244	11	55	-	-	SYM
fis-1244	11	56	3	3	NUM
fis-1244	11	57	]	]	PUNCT
fis-1244	11	58	)	)	PUNCT
fis-1244	11	59	.	.	PUNCT
fis-1244	12	1	in	in	ADP
fis-1244	12	2	section	section	NOUN
fis-1244	12	3	2	2	NUM
fis-1244	12	4	,	,	PUNCT
fis-1244	12	5	we	we	PRON
fis-1244	12	6	discuss	discuss	VERB
fis-1244	12	7	an	an	DET
fis-1244	12	8	alternative	alternative	ADJ
fis-1244	12	9	numerical	numerical	ADJ
fis-1244	12	10	method	method	NOUN
fis-1244	12	11	–	–	PUNCT
fis-1244	12	12	based	base	VERB
fis-1244	12	13	on	on	ADP
fis-1244	12	14	the	the	DET
fis-1244	12	15	magnus	magnus	PROPN
fis-1244	12	16	expansion	expansion	NOUN
fis-1244	13	1	[	[	X
fis-1244	13	2	4	4	NUM
fis-1244	13	3	]	]	PUNCT
fis-1244	13	4	–	–	PUNCT
fis-1244	13	5	which	which	PRON
fis-1244	13	6	furnishes	furnish	VERB
fis-1244	13	7	an	an	DET
fis-1244	13	8	approximate	approximate	ADJ
fis-1244	13	9	exponential	exponential	ADJ
fis-1244	13	10	representations	representation	NOUN
fis-1244	13	11	of	of	ADP
fis-1244	13	12	the	the	DET
fis-1244	13	13	matricant	matricant	NOUN
fis-1244	13	14	of	of	ADP
fis-1244	13	15	first	first	ADJ
fis-1244	13	16	order	order	NOUN
fis-1244	13	17	linear	linear	PROPN
fis-1244	13	18	ode	ode	PROPN
fis-1244	13	19	systems	system	NOUN
fis-1244	13	20	.	.	PUNCT
fis-1244	14	1	the	the	DET
fis-1244	14	2	magnus	magnus	PROPN
fis-1244	14	3	expansion	expansion	NOUN
fis-1244	14	4	belongs	belong	VERB
fis-1244	14	5	to	to	ADP
fis-1244	14	6	the	the	DET
fis-1244	14	7	so	so	ADV
fis-1244	14	8	-	-	PUNCT
fis-1244	14	9	called	call	VERB
fis-1244	14	10	geometric	geometric	ADJ
fis-1244	14	11	numerical	numerical	ADJ
fis-1244	14	12	integrators	integrator	NOUN
fis-1244	14	13	,	,	PUNCT
fis-1244	14	14	based	base	VERB
fis-1244	14	15	on	on	ADP
fis-1244	14	16	lie	lie	NOUN
fis-1244	14	17	-	-	PUNCT
fis-1244	14	18	group	group	NOUN
fis-1244	14	19	methods	method	NOUN
fis-1244	14	20	[	[	PUNCT
fis-1244	14	21	5	5	NUM
fis-1244	14	22	-7	-7	INTJ
fis-1244	14	23	]	]	X
fis-1244	14	24	for	for	ADP
fis-1244	14	25	appropriate	appropriate	ADJ
fis-1244	14	26	references	reference	NOUN
fis-1244	14	27	)	)	PUNCT
fis-1244	14	28	.	.	PUNCT
fis-1244	15	1	to	to	ADP
fis-1244	15	2	our	our	PRON
fis-1244	15	3	knowledge	knowledge	NOUN
fis-1244	15	4	,	,	PUNCT
fis-1244	15	5	the	the	DET
fis-1244	15	6	applications	application	NOUN
fis-1244	15	7	of	of	ADP
fis-1244	15	8	this	this	DET
fis-1244	15	9	method	method	NOUN
fis-1244	15	10	are	be	AUX
fis-1244	15	11	not	not	PART
fis-1244	15	12	widespread	widespread	ADJ
fis-1244	15	13	in	in	ADP
fis-1244	15	14	continuum	continuum	ADJ
fis-1244	15	15	mechanics	mechanic	NOUN
fis-1244	15	16	,	,	PUNCT
fis-1244	15	17	but	but	CCONJ
fis-1244	15	18	it	it	PRON
fis-1244	15	19	has	have	AUX
fis-1244	15	20	been	be	AUX
fis-1244	15	21	shown	show	VERB
fis-1244	15	22	in	in	ADP
fis-1244	15	23	[	[	X
fis-1244	15	24	8	8	NUM
fis-1244	15	25	]	]	PUNCT
fis-1244	15	26	that	that	SCONJ
fis-1244	15	27	for	for	ADP
fis-1244	15	28	problems	problem	NOUN
fis-1244	15	29	involving	involve	VERB
fis-1244	15	30	singularities	singularity	NOUN
fis-1244	15	31	,	,	PUNCT
fis-1244	15	32	bifurcations	bifurcation	NOUN
fis-1244	15	33	and	and	CCONJ
fis-1244	15	34	wave	wave	NOUN
fis-1244	15	35	propagation	propagation	NOUN
fis-1244	15	36	the	the	DET
fis-1244	15	37	geometric	geometric	ADJ
fis-1244	15	38	numerical	numerical	ADJ
fis-1244	15	39	integrators	integrator	NOUN
fis-1244	15	40	may	may	AUX
fis-1244	15	41	be	be	AUX
fis-1244	15	42	useful	useful	ADJ
fis-1244	15	43	and	and	CCONJ
fis-1244	15	44	accurate	accurate	ADJ
fis-1244	15	45	.	.	PUNCT
fis-1244	16	1	in	in	ADP
fis-1244	16	2	particular	particular	ADJ
fis-1244	16	3	,	,	PUNCT
fis-1244	16	4	the	the	DET
fis-1244	16	5	magnus	magnus	PROPN
fis-1244	16	6	expansion	expansion	NOUN
fis-1244	16	7	may	may	AUX
fis-1244	16	8	be	be	AUX
fis-1244	16	9	very	very	ADV
fis-1244	16	10	efficient	efficient	ADJ
fis-1244	16	11	for	for	ADP
fis-1244	16	12	a	a	DET
fis-1244	16	13	number	number	NOUN
fis-1244	16	14	of	of	ADP
fis-1244	16	15	bifurcation	bifurcation	NOUN
fis-1244	16	16	analyses	analysis	NOUN
fis-1244	16	17	,	,	PUNCT
fis-1244	16	18	since	since	SCONJ
fis-1244	16	19	it	it	PRON
fis-1244	16	20	leads	lead	VERB
fis-1244	16	21	to	to	ADP
fis-1244	16	22	the	the	DET
fis-1244	16	23	determination	determination	NOUN
fis-1244	16	24	of	of	ADP
fis-1244	16	25	approximate	approximate	ADJ
fis-1244	16	26	solutions	solution	NOUN
fis-1244	16	27	that	that	PRON
fis-1244	16	28	preserve	preserve	VERB
fis-1244	16	29	at	at	ADP
fis-1244	16	30	any	any	DET
fis-1244	16	31	order	order	NOUN
fis-1244	16	32	of	of	ADP
fis-1244	16	33	approximation	approximation	NOUN
fis-1244	16	34	the	the	DET
fis-1244	16	35	same	same	ADJ
fis-1244	16	36	qualitative	qualitative	ADJ
fis-1244	16	37	properties	property	NOUN
fis-1244	16	38	of	of	ADP
fis-1244	16	39	the	the	DET
fis-1244	16	40	exact	exact	NOUN
fis-1244	16	41	(	(	PUNCT
fis-1244	16	42	but	but	CCONJ
fis-1244	16	43	unknown	unknown	ADJ
fis-1244	16	44	)	)	PUNCT
fis-1244	16	45	solution	solution	NOUN
fis-1244	16	46	;	;	PUNCT
fis-1244	16	47	moreover	moreover	ADV
fis-1244	16	48	,	,	PUNCT
fis-1244	16	49	this	this	DET
fis-1244	16	50	method	method	NOUN
fis-1244	16	51	exhibits	exhibit	VERB
fis-1244	16	52	an	an	DET
fis-1244	16	53	improved	improved	ADJ
fis-1244	16	54	accuracy	accuracy	NOUN
fis-1244	16	55	with	with	ADP
fis-1244	16	56	respect	respect	NOUN
fis-1244	16	57	to	to	ADP
fis-1244	16	58	other	other	ADJ
fis-1244	16	59	frequently	frequently	ADV
fis-1244	16	60	used	use	VERB
fis-1244	16	61	numerical	numerical	ADJ
fis-1244	16	62	schemes	scheme	NOUN
fis-1244	16	63	.	.	PUNCT
fis-1244	17	1	as	as	ADP
fis-1244	17	2	an	an	DET
fis-1244	17	3	application	application	NOUN
fis-1244	17	4	of	of	ADP
fis-1244	17	5	the	the	DET
fis-1244	17	6	magnus	magnus	PROPN
fis-1244	17	7	method	method	NOUN
fis-1244	17	8	,	,	PUNCT
fis-1244	17	9	in	in	ADP
fis-1244	17	10	an	an	DET
fis-1244	17	11	application	application	NOUN
fis-1244	17	12	of	of	ADP
fis-1244	17	13	the	the	DET
fis-1244	17	14	magnus	magnus	PROPN
fis-1244	17	15	method	method	NOUN
fis-1244	17	16	in	in	ADP
fis-1244	17	17	solid	solid	ADJ
fis-1244	17	18	mechanics	mechanic	NOUN
fis-1244	17	19	:	:	PUNCT
fis-1244	17	20	periodic	periodic	ADJ
fis-1244	17	21	twist	twist	NOUN
fis-1244	17	22	-	-	PUNCT
fis-1244	17	23	like	like	ADJ
fis-1244	17	24	deformations	deformation	NOUN
fis-1244	17	25	bifurcating	bifurcate	VERB
fis-1244	17	26	from	from	ADP
fis-1244	17	27	the	the	DET
fis-1244	17	28	azimuthal	azimuthal	ADJ
fis-1244	17	29	shear	shear	NOUN
fis-1244	17	30	of	of	ADP
fis-1244	17	31	a	a	DET
fis-1244	17	32	circular	circular	ADJ
fis-1244	17	33	tube	tube	NOUN
fis-1244	17	34	we	we	PRON
fis-1244	17	35	investigate	investigate	VERB
fis-1244	17	36	the	the	DET
fis-1244	17	37	possibility	possibility	NOUN
fis-1244	17	38	for	for	ADP
fis-1244	17	39	a	a	DET
fis-1244	17	40	compressible	compressible	ADJ
fis-1244	17	41	hollow	hollow	ADJ
fis-1244	17	42	cylinder	cylinder	NOUN
fis-1244	17	43	subject	subject	NOUN
fis-1244	17	44	to	to	ADP
fis-1244	17	45	i	i	PROPN
fis-1244	17	46	a.	a.	PROPN
fis-1244	17	47	castellano	castellano	PROPN
fis-1244	17	48	et	et	PROPN
fis-1244	17	49	alii	alii	PROPN
fis-1244	17	50	,	,	PUNCT
fis-1244	17	51	frattura	frattura	PROPN
fis-1244	17	52	ed	ed	PROPN
fis-1244	17	53	integrità	integrità	PROPN
fis-1244	17	54	strutturale	strutturale	PROPN
fis-1244	17	55	,	,	PUNCT
fis-1244	17	56	29	29	NUM
fis-1244	17	57	(	(	PUNCT
fis-1244	17	58	2014	2014	NUM
fis-1244	17	59	)	)	PUNCT
fis-1244	17	60	128	128	NUM
fis-1244	17	61	-	-	SYM
fis-1244	17	62	138	138	NUM
fis-1244	17	63	;	;	PUNCT
fis-1244	17	64	doi	doi	NOUN
fis-1244	17	65	:	:	PUNCT
fis-1244	17	66	10.3221	10.3221	NUM
fis-1244	17	67	/	/	SYM
fis-1244	17	68	igf	igf	PROPN
fis-1244	17	69	-	-	PUNCT
fis-1244	17	70	esis.29.12	esis.29.12	PROPN
fis-1244	17	71	129	129	NUM
fis-1244	17	72	azimuthal	azimuthal	ADJ
fis-1244	17	73	shear	shear	NOUN
fis-1244	17	74	to	to	PART
fis-1244	17	75	support	support	VERB
fis-1244	17	76	axially	axially	ADV
fis-1244	17	77	periodic	periodic	ADJ
fis-1244	17	78	twist	twist	NOUN
fis-1244	17	79	-	-	PUNCT
fis-1244	17	80	like	like	ADJ
fis-1244	17	81	bifurcation	bifurcation	NOUN
fis-1244	17	82	modes	mode	NOUN
fis-1244	17	83	similar	similar	ADJ
fis-1244	17	84	to	to	ADP
fis-1244	17	85	the	the	DET
fis-1244	17	86	taylor	taylor	NOUN
fis-1244	17	87	-	-	PUNCT
fis-1244	17	88	couette	couette	NOUN
fis-1244	17	89	axially	axially	ADV
fis-1244	17	90	periodic	periodic	ADJ
fis-1244	17	91	cellular	cellular	ADJ
fis-1244	17	92	patterns	pattern	NOUN
fis-1244	17	93	observed	observe	VERB
fis-1244	17	94	when	when	SCONJ
fis-1244	17	95	the	the	DET
fis-1244	17	96	flow	flow	NOUN
fis-1244	17	97	of	of	ADP
fis-1244	17	98	a	a	DET
fis-1244	17	99	viscous	viscous	ADJ
fis-1244	17	100	fluid	fluid	NOUN
fis-1244	17	101	confined	confine	VERB
fis-1244	17	102	in	in	ADP
fis-1244	17	103	the	the	DET
fis-1244	17	104	gap	gap	NOUN
fis-1244	17	105	between	between	ADP
fis-1244	17	106	two	two	NUM
fis-1244	17	107	rotating	rotate	VERB
fis-1244	17	108	concentric	concentric	ADJ
fis-1244	17	109	cylinders	cylinder	NOUN
fis-1244	17	110	becomes	become	VERB
fis-1244	17	111	unstable	unstable	ADJ
fis-1244	17	112	.	.	PUNCT
fis-1244	18	1	here	here	ADV
fis-1244	18	2	,	,	PUNCT
fis-1244	18	3	the	the	DET
fis-1244	18	4	hollow	hollow	ADJ
fis-1244	18	5	cylinder	cylinder	NOUN
fis-1244	18	6	is	be	AUX
fis-1244	18	7	made	make	VERB
fis-1244	18	8	of	of	ADP
fis-1244	18	9	a	a	DET
fis-1244	18	10	levinson	levinson	PROPN
fis-1244	18	11	-	-	PUNCT
fis-1244	18	12	burgess	burgess	NOUN
fis-1244	18	13	isotropic	isotropic	NOUN
fis-1244	18	14	compressible	compressible	ADJ
fis-1244	18	15	elastic	elastic	ADJ
fis-1244	18	16	material	material	NOUN
fis-1244	18	17	.	.	PUNCT
fis-1244	19	1	by	by	ADP
fis-1244	19	2	restricting	restrict	VERB
fis-1244	19	3	our	our	PRON
fis-1244	19	4	attention	attention	NOUN
fis-1244	19	5	to	to	ADP
fis-1244	19	6	a	a	DET
fis-1244	19	7	class	class	NOUN
fis-1244	19	8	of	of	ADP
fis-1244	19	9	incremental	incremental	ADJ
fis-1244	19	10	displacements	displacement	NOUN
fis-1244	19	11	characterized	characterize	VERB
fis-1244	19	12	by	by	ADP
fis-1244	19	13	three	three	NUM
fis-1244	19	14	unknown	unknown	ADJ
fis-1244	19	15	scalar	scalar	ADJ
fis-1244	19	16	functions	function	NOUN
fis-1244	19	17	of	of	ADP
fis-1244	19	18	the	the	DET
fis-1244	19	19	radial	radial	ADJ
fis-1244	19	20	coordinate	coordinate	NOUN
fis-1244	19	21	and	and	CCONJ
fis-1244	19	22	having	have	VERB
fis-1244	19	23	an	an	DET
fis-1244	19	24	axial	axial	ADJ
fis-1244	19	25	periodic	periodic	ADJ
fis-1244	19	26	structure	structure	NOUN
fis-1244	19	27	,	,	PUNCT
fis-1244	19	28	we	we	PRON
fis-1244	19	29	then	then	ADV
fis-1244	19	30	study	study	VERB
fis-1244	19	31	the	the	DET
fis-1244	19	32	related	relate	VERB
fis-1244	19	33	incremental	incremental	ADJ
fis-1244	19	34	boundary	boundary	ADJ
fis-1244	19	35	-	-	PUNCT
fis-1244	19	36	value	value	NOUN
fis-1244	19	37	problem	problem	NOUN
fis-1244	19	38	.	.	PUNCT
fis-1244	20	1	this	this	PRON
fis-1244	20	2	leads	lead	VERB
fis-1244	20	3	to	to	ADP
fis-1244	20	4	a	a	DET
fis-1244	20	5	somewhat	somewhat	ADV
fis-1244	20	6	complex	complex	ADJ
fis-1244	20	7	non	non	ADJ
fis-1244	20	8	-	-	ADJ
fis-1244	20	9	autonomous	autonomous	ADJ
fis-1244	20	10	homogeneous	homogeneous	ADJ
fis-1244	20	11	system	system	NOUN
fis-1244	20	12	of	of	ADP
fis-1244	20	13	six	six	NUM
fis-1244	20	14	first	first	ADJ
fis-1244	20	15	order	order	NOUN
fis-1244	20	16	linear	linear	PROPN
fis-1244	20	17	ode	ode	PROPN
fis-1244	20	18	’s	’s	NOUN
fis-1244	20	19	with	with	ADP
fis-1244	20	20	homogeneous	homogeneous	ADJ
fis-1244	20	21	boundary	boundary	ADJ
fis-1244	20	22	conditions	condition	NOUN
fis-1244	20	23	,	,	PUNCT
fis-1244	20	24	whose	whose	DET
fis-1244	20	25	analysis	analysis	NOUN
fis-1244	20	26	is	be	AUX
fis-1244	20	27	performed	perform	VERB
fis-1244	20	28	by	by	ADP
fis-1244	20	29	a	a	DET
fis-1244	20	30	numerical	numerical	ADJ
fis-1244	20	31	approach	approach	NOUN
fis-1244	20	32	.	.	PUNCT
fis-1244	21	1	we	we	PRON
fis-1244	21	2	show	show	VERB
fis-1244	21	3	that	that	SCONJ
fis-1244	21	4	a	a	DET
fis-1244	21	5	procedure	procedure	NOUN
fis-1244	21	6	based	base	VERB
fis-1244	21	7	on	on	ADP
fis-1244	21	8	the	the	DET
fis-1244	21	9	magnus	magnus	PROPN
fis-1244	21	10	method	method	NOUN
fis-1244	21	11	outlined	outline	VERB
fis-1244	21	12	in	in	ADP
fis-1244	21	13	an	an	DET
fis-1244	21	14	overview	overview	NOUN
fis-1244	21	15	of	of	ADP
fis-1244	21	16	geometric	geometric	ADJ
fis-1244	21	17	numerical	numerical	ADJ
fis-1244	21	18	integrators	integrator	NOUN
fis-1244	21	19	with	with	ADP
fis-1244	21	20	special	special	ADJ
fis-1244	21	21	reference	reference	NOUN
fis-1244	21	22	to	to	ADP
fis-1244	21	23	the	the	DET
fis-1244	21	24	magnus	magnus	PROPN
fis-1244	21	25	expansion	expansion	NOUN
fis-1244	21	26	reveals	reveal	VERB
fis-1244	21	27	very	very	ADV
fis-1244	21	28	effective	effective	ADJ
fis-1244	21	29	either	either	ADV
fis-1244	21	30	for	for	ADP
fis-1244	21	31	approximating	approximate	VERB
fis-1244	21	32	the	the	DET
fis-1244	21	33	matricant	matricant	NOUN
fis-1244	21	34	of	of	ADP
fis-1244	21	35	the	the	DET
fis-1244	21	36	resulting	result	VERB
fis-1244	21	37	differential	differential	ADJ
fis-1244	21	38	problem	problem	NOUN
fis-1244	21	39	or	or	CCONJ
fis-1244	21	40	for	for	ADP
fis-1244	21	41	determining	determine	VERB
fis-1244	21	42	the	the	DET
fis-1244	21	43	first	first	ADJ
fis-1244	21	44	singular	singular	ADJ
fis-1244	21	45	value	value	NOUN
fis-1244	21	46	of	of	ADP
fis-1244	21	47	the	the	DET
fis-1244	21	48	bifurcating	bifurcate	VERB
fis-1244	21	49	load	load	NOUN
fis-1244	21	50	corresponding	correspond	VERB
fis-1244	21	51	to	to	ADP
fis-1244	21	52	a	a	DET
fis-1244	21	53	non	non	ADJ
fis-1244	21	54	-	-	ADJ
fis-1244	21	55	trivial	trivial	ADJ
fis-1244	21	56	twist	twist	NOUN
fis-1244	21	57	-	-	PUNCT
fis-1244	21	58	like	like	ADJ
fis-1244	21	59	solution	solution	NOUN
fis-1244	21	60	.	.	PUNCT
fis-1244	22	1	an	an	DET
fis-1244	22	2	overview	overview	NOUN
fis-1244	22	3	of	of	ADP
fis-1244	22	4	geometric	geometric	ADJ
fis-1244	22	5	numerical	numerical	ADJ
fis-1244	22	6	integrators	integrator	NOUN
fis-1244	22	7	with	with	ADP
fis-1244	22	8	special	special	ADJ
fis-1244	22	9	reference	reference	NOUN
fis-1244	22	10	to	to	ADP
fis-1244	22	11	the	the	DET
fis-1244	22	12	magnus	magnus	PROPN
fis-1244	22	13	expansion	expansion	NOUN
fis-1244	22	14	number	number	NOUN
fis-1244	22	15	of	of	ADP
fis-1244	22	16	problems	problem	NOUN
fis-1244	22	17	in	in	ADP
fis-1244	22	18	scientific	scientific	ADJ
fis-1244	22	19	and	and	CCONJ
fis-1244	22	20	engineering	engineering	NOUN
fis-1244	22	21	areas	area	NOUN
fis-1244	22	22	,	,	PUNCT
fis-1244	22	23	ranging	range	VERB
fis-1244	22	24	from	from	ADP
fis-1244	22	25	quantum	quantum	ADJ
fis-1244	22	26	mechanics	mechanic	NOUN
fis-1244	22	27	,	,	PUNCT
fis-1244	22	28	optics	optic	NOUN
fis-1244	22	29	,	,	PUNCT
fis-1244	22	30	electromagnetism	electromagnetism	NOUN
fis-1244	22	31	and	and	CCONJ
fis-1244	22	32	molecular	molecular	ADJ
fis-1244	22	33	physics	physics	NOUN
fis-1244	22	34	to	to	PART
fis-1244	22	35	control	control	VERB
fis-1244	22	36	theory	theory	NOUN
fis-1244	22	37	and	and	CCONJ
fis-1244	22	38	bifurcation	bifurcation	NOUN
fis-1244	22	39	,	,	PUNCT
fis-1244	22	40	require	require	VERB
fis-1244	22	41	the	the	DET
fis-1244	22	42	resolution	resolution	NOUN
fis-1244	22	43	of	of	ADP
fis-1244	22	44	systems	system	NOUN
fis-1244	22	45	of	of	ADP
fis-1244	22	46	differential	differential	ADJ
fis-1244	22	47	equations	equation	NOUN
fis-1244	22	48	with	with	ADP
fis-1244	22	49	varying	vary	VERB
fis-1244	22	50	coefficients	coefficient	NOUN
fis-1244	22	51	.	.	PUNCT
fis-1244	23	1	besides	besides	SCONJ
fis-1244	23	2	some	some	DET
fis-1244	23	3	very	very	ADV
fis-1244	23	4	special	special	ADJ
fis-1244	23	5	cases	case	NOUN
fis-1244	23	6	,	,	PUNCT
fis-1244	23	7	for	for	ADP
fis-1244	23	8	which	which	PRON
fis-1244	23	9	a	a	DET
fis-1244	23	10	fundamental	fundamental	ADJ
fis-1244	23	11	matrix	matrix	NOUN
fis-1244	23	12	solution	solution	NOUN
fis-1244	23	13	is	be	AUX
fis-1244	23	14	explicitly	explicitly	ADV
fis-1244	23	15	available	available	ADJ
fis-1244	23	16	,	,	PUNCT
fis-1244	23	17	the	the	DET
fis-1244	23	18	analysis	analysis	NOUN
fis-1244	23	19	of	of	ADP
fis-1244	23	20	the	the	DET
fis-1244	23	21	problem	problem	NOUN
fis-1244	23	22	usually	usually	ADV
fis-1244	23	23	requires	require	VERB
fis-1244	23	24	the	the	DET
fis-1244	23	25	construction	construction	NOUN
fis-1244	23	26	of	of	ADP
fis-1244	23	27	an	an	DET
fis-1244	23	28	approximate	approximate	ADJ
fis-1244	23	29	representation	representation	NOUN
fis-1244	23	30	of	of	ADP
fis-1244	23	31	the	the	DET
fis-1244	23	32	solution	solution	NOUN
fis-1244	23	33	of	of	ADP
fis-1244	23	34	the	the	DET
fis-1244	23	35	non	non	ADJ
fis-1244	23	36	-	-	ADJ
fis-1244	23	37	autonomous	autonomous	ADJ
fis-1244	23	38	differential	differential	NOUN
fis-1244	23	39	system	system	NOUN
fis-1244	23	40	.	.	PUNCT
fis-1244	24	1	in	in	ADP
fis-1244	24	2	the	the	DET
fis-1244	24	3	last	last	ADJ
fis-1244	24	4	decade	decade	NOUN
fis-1244	24	5	,	,	PUNCT
fis-1244	24	6	this	this	DET
fis-1244	24	7	issue	issue	NOUN
fis-1244	24	8	has	have	AUX
fis-1244	24	9	attracted	attract	VERB
fis-1244	24	10	many	many	ADJ
fis-1244	24	11	scientists	scientist	NOUN
fis-1244	24	12	and	and	CCONJ
fis-1244	24	13	has	have	AUX
fis-1244	24	14	also	also	ADV
fis-1244	24	15	represented	represent	VERB
fis-1244	24	16	a	a	DET
fis-1244	24	17	field	field	NOUN
fis-1244	24	18	of	of	ADP
fis-1244	24	19	intense	intense	ADJ
fis-1244	24	20	research	research	NOUN
fis-1244	24	21	activity	activity	NOUN
fis-1244	24	22	;	;	PUNCT
fis-1244	24	23	in	in	ADP
fis-1244	24	24	particular	particular	ADJ
fis-1244	24	25	,	,	PUNCT
fis-1244	24	26	recent	recent	ADJ
fis-1244	24	27	studies	study	NOUN
fis-1244	24	28	have	have	AUX
fis-1244	24	29	shown	show	VERB
fis-1244	24	30	that	that	SCONJ
fis-1244	24	31	in	in	ADP
fis-1244	24	32	many	many	ADJ
fis-1244	24	33	cases	case	NOUN
fis-1244	24	34	the	the	DET
fis-1244	24	35	so	so	ADV
fis-1244	24	36	-	-	PUNCT
fis-1244	24	37	called	call	VERB
fis-1244	24	38	geometric	geometric	ADJ
fis-1244	24	39	numerical	numerical	ADJ
fis-1244	24	40	integration	integration	NOUN
fis-1244	24	41	methods	method	NOUN
fis-1244	24	42	may	may	AUX
fis-1244	24	43	offer	offer	VERB
fis-1244	24	44	better	well	ADJ
fis-1244	24	45	approximation	approximation	NOUN
fis-1244	24	46	schemes	scheme	NOUN
fis-1244	24	47	compared	compare	VERB
fis-1244	24	48	to	to	ADP
fis-1244	24	49	perturbative	perturbative	ADJ
fis-1244	24	50	procedures	procedure	NOUN
fis-1244	24	51	or	or	CCONJ
fis-1244	24	52	to	to	ADP
fis-1244	24	53	standard	standard	ADJ
fis-1244	24	54	numerical	numerical	ADJ
fis-1244	24	55	integrators	integrator	NOUN
fis-1244	24	56	.	.	PUNCT
fis-1244	25	1	the	the	DET
fis-1244	25	2	magnus	magnus	PROPN
fis-1244	25	3	method	method	NOUN
fis-1244	25	4	belongs	belong	VERB
fis-1244	25	5	to	to	ADP
fis-1244	25	6	the	the	DET
fis-1244	25	7	class	class	NOUN
fis-1244	25	8	of	of	ADP
fis-1244	25	9	geometric	geometric	ADJ
fis-1244	25	10	numerical	numerical	ADJ
fis-1244	25	11	integrators	integrator	NOUN
fis-1244	25	12	,	,	PUNCT
fis-1244	25	13	based	base	VERB
fis-1244	25	14	on	on	ADP
fis-1244	25	15	lie	lie	NOUN
fis-1244	25	16	-	-	PUNCT
fis-1244	25	17	group	group	NOUN
fis-1244	25	18	methods	method	NOUN
fis-1244	25	19	(	(	PUNCT
fis-1244	25	20	see	see	VERB
fis-1244	25	21	[	[	X
fis-1244	25	22	6	6	NUM
fis-1244	25	23	,	,	PUNCT
fis-1244	25	24	7	7	NUM
fis-1244	25	25	]	]	PUNCT
fis-1244	25	26	for	for	ADP
fis-1244	25	27	appropriate	appropriate	ADJ
fis-1244	25	28	references	reference	NOUN
fis-1244	25	29	)	)	PUNCT
fis-1244	25	30	,	,	PUNCT
fis-1244	25	31	which	which	PRON
fis-1244	25	32	,	,	PUNCT
fis-1244	25	33	although	although	SCONJ
fis-1244	25	34	not	not	PART
fis-1244	25	35	yet	yet	ADV
fis-1244	25	36	diffused	diffuse	VERB
fis-1244	25	37	in	in	ADP
fis-1244	25	38	continuum	continuum	ADJ
fis-1244	25	39	mechanics	mechanic	NOUN
fis-1244	25	40	,	,	PUNCT
fis-1244	25	41	have	have	AUX
fis-1244	25	42	recently	recently	ADV
fis-1244	25	43	found	find	VERB
fis-1244	25	44	many	many	ADJ
fis-1244	25	45	applications	application	NOUN
fis-1244	25	46	in	in	ADP
fis-1244	25	47	areas	area	NOUN
fis-1244	25	48	of	of	ADP
fis-1244	25	49	molecular	molecular	ADJ
fis-1244	25	50	physics	physics	NOUN
fis-1244	25	51	[	[	X
fis-1244	25	52	9	9	NUM
fis-1244	25	53	]	]	PUNCT
fis-1244	25	54	,	,	PUNCT
fis-1244	25	55	electromagnetism	electromagnetism	NOUN
fis-1244	25	56	[	[	X
fis-1244	25	57	10	10	NUM
fis-1244	25	58	]	]	PUNCT
fis-1244	25	59	and	and	CCONJ
fis-1244	25	60	celestial	celestial	ADJ
fis-1244	25	61	mechanics	mechanic	NOUN
fis-1244	25	62	[	[	X
fis-1244	25	63	11	11	NUM
fis-1244	25	64	]	]	PUNCT
fis-1244	25	65	.	.	PUNCT
fis-1244	26	1	in	in	ADP
fis-1244	26	2	this	this	DET
fis-1244	26	3	section	section	NOUN
fis-1244	26	4	,	,	PUNCT
fis-1244	26	5	we	we	PRON
fis-1244	26	6	first	first	ADV
fis-1244	26	7	give	give	VERB
fis-1244	26	8	a	a	DET
fis-1244	26	9	brief	brief	ADJ
fis-1244	26	10	overview	overview	NOUN
fis-1244	26	11	of	of	ADP
fis-1244	26	12	geometric	geometric	ADJ
fis-1244	26	13	numerical	numerical	ADJ
fis-1244	26	14	integrators	integrator	NOUN
fis-1244	26	15	and	and	CCONJ
fis-1244	26	16	then	then	ADV
fis-1244	26	17	we	we	PRON
fis-1244	26	18	deal	deal	VERB
fis-1244	26	19	with	with	ADP
fis-1244	26	20	the	the	DET
fis-1244	26	21	magnus	magnus	PROPN
fis-1244	26	22	method	method	NOUN
fis-1244	26	23	as	as	ADP
fis-1244	26	24	a	a	DET
fis-1244	26	25	particular	particular	ADJ
fis-1244	26	26	case	case	NOUN
fis-1244	26	27	.	.	PUNCT
fis-1244	27	1	geometric	geometric	ADJ
fis-1244	27	2	numerical	numerical	ADJ
fis-1244	27	3	integration	integration	NOUN
fis-1244	27	4	concerns	concern	VERB
fis-1244	27	5	the	the	DET
fis-1244	27	6	development	development	NOUN
fis-1244	27	7	of	of	ADP
fis-1244	27	8	numerical	numerical	ADJ
fis-1244	27	9	approximations	approximation	NOUN
fis-1244	27	10	to	to	ADP
fis-1244	27	11	the	the	DET
fis-1244	27	12	solution	solution	NOUN
fis-1244	27	13	of	of	ADP
fis-1244	27	14	an	an	DET
fis-1244	27	15	ode	ode	ADJ
fis-1244	27	16	system	system	NOUN
fis-1244	27	17	with	with	ADP
fis-1244	27	18	the	the	DET
fis-1244	27	19	main	main	ADJ
fis-1244	27	20	goal	goal	NOUN
fis-1244	27	21	of	of	ADP
fis-1244	27	22	preserving	preserve	VERB
fis-1244	27	23	at	at	ADP
fis-1244	27	24	any	any	DET
fis-1244	27	25	order	order	NOUN
fis-1244	27	26	of	of	ADP
fis-1244	27	27	approximation	approximation	NOUN
fis-1244	27	28	the	the	DET
fis-1244	27	29	qualitative	qualitative	ADJ
fis-1244	27	30	properties	property	NOUN
fis-1244	27	31	of	of	ADP
fis-1244	27	32	the	the	DET
fis-1244	27	33	exact	exact	NOUN
fis-1244	27	34	(	(	PUNCT
fis-1244	27	35	but	but	CCONJ
fis-1244	27	36	unknown	unknown	ADJ
fis-1244	27	37	)	)	PUNCT
fis-1244	27	38	solution	solution	NOUN
fis-1244	27	39	and	and	CCONJ
fis-1244	27	40	thereby	thereby	ADV
fis-1244	27	41	of	of	ADP
fis-1244	27	42	exhibiting	exhibit	VERB
fis-1244	27	43	an	an	DET
fis-1244	27	44	improved	improved	ADJ
fis-1244	27	45	accuracy	accuracy	NOUN
fis-1244	27	46	with	with	ADP
fis-1244	27	47	respect	respect	NOUN
fis-1244	27	48	to	to	ADP
fis-1244	27	49	other	other	ADJ
fis-1244	27	50	numerical	numerical	ADJ
fis-1244	27	51	methods	method	NOUN
fis-1244	27	52	.	.	PUNCT
fis-1244	28	1	although	although	SCONJ
fis-1244	28	2	such	such	ADJ
fis-1244	28	3	methods	method	NOUN
fis-1244	28	4	apply	apply	VERB
fis-1244	28	5	also	also	ADV
fis-1244	28	6	for	for	ADP
fis-1244	28	7	nonlinear	nonlinear	ADJ
fis-1244	28	8	matrix	matrix	NOUN
fis-1244	28	9	differential	differential	NOUN
fis-1244	28	10	equations	equation	NOUN
fis-1244	28	11	,	,	PUNCT
fis-1244	28	12	for	for	ADP
fis-1244	28	13	the	the	DET
fis-1244	28	14	purposes	purpose	NOUN
fis-1244	28	15	of	of	ADP
fis-1244	28	16	bifurcation	bifurcation	NOUN
fis-1244	28	17	problems	problem	NOUN
fis-1244	28	18	here	here	ADV
fis-1244	28	19	we	we	PRON
fis-1244	28	20	consider	consider	VERB
fis-1244	28	21	geometric	geometric	ADJ
fis-1244	28	22	numerical	numerical	ADJ
fis-1244	28	23	integrators	integrator	NOUN
fis-1244	28	24	based	base	VERB
fis-1244	28	25	on	on	ADP
fis-1244	28	26	the	the	DET
fis-1244	28	27	magnus	magnus	PROPN
fis-1244	28	28	expansion	expansion	NOUN
fis-1244	28	29	for	for	ADP
fis-1244	28	30	the	the	DET
fis-1244	28	31	special	special	ADJ
fis-1244	28	32	case	case	NOUN
fis-1244	28	33	of	of	ADP
fis-1244	28	34	homogeneous	homogeneous	ADJ
fis-1244	28	35	nonautonomous	nonautonomous	ADJ
fis-1244	28	36	first	first	ADJ
fis-1244	28	37	order	order	NOUN
fis-1244	28	38	linear	linear	VERB
fis-1244	28	39	ode	ode	PROPN
fis-1244	28	40	systems	system	NOUN
fis-1244	28	41	of	of	ADP
fis-1244	28	42	the	the	DET
fis-1244	28	43	form	form	NOUN
fis-1244	28	44			NOUN
fis-1244	28	45			SYM
fis-1244	28	46			NOUN
fis-1244	28	47			SYM
fis-1244	28	48			NOUN
fis-1244	28	49			SYM
fis-1244	28	50			NOUN
fis-1244	28	51			PUNCT
fis-1244	28	52	6x6r	6x6r	NUM
fis-1244	28	53	r	r	NOUN
fis-1244	28	54	r	r	NOUN
fis-1244	28	55	,	,	PUNCT
fis-1244	28	56	r	r	NOUN
fis-1244	28	57	0	0	NUM
fis-1244	28	58	,	,	PUNCT
fis-1244	28	59	0	0	PRON
fis-1244	28	60			PROPN
fis-1244	28	61			NUM
fis-1244	28	62	y	y	NOUN
fis-1244	28	63	a	a	PRON
fis-1244	28	64	y	y	NOUN
fis-1244	28	65	y	y	INTJ
fis-1244	29	1	i	i	PRON
fis-1244	29	2	(	(	PUNCT
fis-1244	29	3	1	1	X
fis-1244	29	4	)	)	PUNCT
fis-1244	29	5	where	where	SCONJ
fis-1244	29	6	the	the	DET
fis-1244	29	7	unknown	unknown	ADJ
fis-1244	29	8	6x6	6x6	NUM
fis-1244	29	9	matrix	matrix	NOUN
fis-1244	29	10			NOUN
fis-1244	29	11	ry	ry	NOUN
fis-1244	29	12	,	,	PUNCT
fis-1244	29	13	usually	usually	ADV
fis-1244	29	14	referred	refer	VERB
fis-1244	29	15	as	as	ADP
fis-1244	29	16	the	the	DET
fis-1244	29	17	matricant	matricant	NOUN
fis-1244	29	18	of	of	ADP
fis-1244	29	19	the	the	DET
fis-1244	29	20	cauchy	cauchy	ADJ
fis-1244	29	21	initial	initial	ADJ
fis-1244	29	22	-	-	PUNCT
fis-1244	29	23	value	value	NOUN
fis-1244	29	24	problem	problem	NOUN
fis-1244	29	25	(	(	PUNCT
fis-1244	29	26	1	1	NUM
fis-1244	29	27	)	)	PUNCT
fis-1244	29	28	,	,	PUNCT
fis-1244	29	29	is	be	AUX
fis-1244	29	30	the	the	DET
fis-1244	29	31	6dimensional	6dimensional	NUM
fis-1244	29	32	identity	identity	NOUN
fis-1244	29	33	matrix	matrix	NOUN
fis-1244	29	34	when	when	SCONJ
fis-1244	29	35	the	the	DET
fis-1244	29	36	real	real	ADJ
fis-1244	29	37	independent	independent	ADJ
fis-1244	29	38	variable	variable	NOUN
fis-1244	29	39	r	r	NOUN
fis-1244	29	40	is	be	AUX
fis-1244	29	41	equal	equal	ADJ
fis-1244	29	42	to	to	ADP
fis-1244	29	43	zero	zero	NUM
fis-1244	29	44	.	.	PUNCT
fis-1244	30	1	generally	generally	ADV
fis-1244	30	2	speaking	speak	VERB
fis-1244	30	3	,	,	PUNCT
fis-1244	30	4	these	these	DET
fis-1244	30	5	new	new	ADJ
fis-1244	30	6	numerical	numerical	ADJ
fis-1244	30	7	approaches	approach	NOUN
fis-1244	30	8	involve	involve	VERB
fis-1244	30	9	lie	lie	NOUN
fis-1244	30	10	-	-	PUNCT
fis-1244	30	11	group	group	NOUN
fis-1244	30	12	methods	method	NOUN
fis-1244	30	13	,	,	PUNCT
fis-1244	30	14	which	which	PRON
fis-1244	30	15	are	be	AUX
fis-1244	30	16	based	base	VERB
fis-1244	30	17	on	on	ADP
fis-1244	30	18	lie	lie	NOUN
fis-1244	30	19	groups	group	NOUN
fis-1244	30	20	and	and	CCONJ
fis-1244	30	21	their	their	PRON
fis-1244	30	22	associated	associated	ADJ
fis-1244	30	23	lie	lie	NOUN
fis-1244	30	24	algebras	algebra	NOUN
fis-1244	30	25	.	.	PUNCT
fis-1244	31	1	we	we	PRON
fis-1244	31	2	recall	recall	VERB
fis-1244	31	3	that	that	SCONJ
fis-1244	31	4	a	a	DET
fis-1244	31	5	lie	lie	NOUN
fis-1244	31	6	group	group	NOUN
fis-1244	31	7	corresponds	correspond	VERB
fis-1244	31	8	to	to	ADP
fis-1244	31	9	a	a	DET
fis-1244	31	10	differential	differential	ADJ
fis-1244	31	11	manifold	manifold	NOUN
fis-1244	31	12	which	which	PRON
fis-1244	31	13	is	be	AUX
fis-1244	31	14	endowed	endow	VERB
fis-1244	31	15	with	with	ADP
fis-1244	31	16	a	a	DET
fis-1244	31	17	group	group	NOUN
fis-1244	31	18	structure	structure	NOUN
fis-1244	31	19	;	;	PUNCT
fis-1244	31	20	the	the	DET
fis-1244	31	21	corresponding	correspond	VERB
fis-1244	31	22	lie	lie	NOUN
fis-1244	31	23	algebra	algebra	NOUN
fis-1244	31	24	,	,	PUNCT
fis-1244	31	25	defined	define	VERB
fis-1244	31	26	as	as	ADP
fis-1244	31	27	the	the	DET
fis-1244	31	28	tangent	tangent	ADJ
fis-1244	31	29	space	space	NOUN
fis-1244	31	30	to	to	ADP
fis-1244	31	31	the	the	DET
fis-1244	31	32	lie	lie	NOUN
fis-1244	31	33	group	group	NOUN
fis-1244	31	34	at	at	ADP
fis-1244	31	35	the	the	DET
fis-1244	31	36	identity	identity	NOUN
fis-1244	31	37	,	,	PUNCT
fis-1244	31	38	is	be	AUX
fis-1244	31	39	a	a	DET
fis-1244	31	40	linear	linear	ADJ
fis-1244	31	41	space	space	NOUN
fis-1244	31	42	endowed	endow	VERB
fis-1244	31	43	with	with	ADP
fis-1244	31	44	the	the	DET
fis-1244	31	45	lie	lie	NOUN
fis-1244	31	46	bracket	bracket	NOUN
fis-1244	31	47	commutation	commutation	NOUN
fis-1244	31	48	operation	operation	NOUN
fis-1244	31	49	and	and	CCONJ
fis-1244	31	50	a	a	DET
fis-1244	31	51	natural	natural	ADJ
fis-1244	31	52	mapping	mapping	NOUN
fis-1244	31	53	.	.	PUNCT
fis-1244	32	1	since	since	SCONJ
fis-1244	32	2	the	the	DET
fis-1244	32	3	unknown	unknown	ADJ
fis-1244	32	4	matricant	matricant	NOUN
fis-1244	32	5	of	of	ADP
fis-1244	32	6	a	a	DET
fis-1244	32	7	first	first	ADJ
fis-1244	32	8	order	order	NOUN
fis-1244	32	9	ode	ode	NOUN
fis-1244	32	10	system	system	NOUN
fis-1244	32	11	like	like	ADP
fis-1244	32	12	(	(	PUNCT
fis-1244	32	13	1	1	X
fis-1244	32	14	)	)	PUNCT
fis-1244	32	15	must	must	AUX
fis-1244	32	16	be	be	AUX
fis-1244	32	17	an	an	DET
fis-1244	32	18	invertible	invertible	ADJ
fis-1244	32	19	6x6	6x6	NUM
fis-1244	32	20	matrix	matrix	NOUN
fis-1244	32	21	with	with	ADP
fis-1244	32	22	variable	variable	ADJ
fis-1244	32	23	entries	entry	NOUN
fis-1244	32	24	,	,	PUNCT
fis-1244	32	25	the	the	DET
fis-1244	32	26	setting	setting	NOUN
fis-1244	32	27	for	for	ADP
fis-1244	32	28	finding	find	VERB
fis-1244	32	29	solutions	solution	NOUN
fis-1244	32	30	of	of	ADP
fis-1244	32	31	(	(	PUNCT
fis-1244	32	32	1	1	NUM
fis-1244	32	33	)	)	PUNCT
fis-1244	32	34	is	be	AUX
fis-1244	32	35	a	a	DET
fis-1244	32	36	6x6	6x6	NUM
fis-1244	32	37	matrix	matrix	NOUN
fis-1244	32	38	lie	lie	NOUN
fis-1244	32	39	group	group	NOUN
fis-1244	32	40	.	.	PUNCT
fis-1244	33	1	in	in	ADP
fis-1244	33	2	this	this	DET
fis-1244	33	3	case	case	NOUN
fis-1244	33	4	,	,	PUNCT
fis-1244	33	5	the	the	DET
fis-1244	33	6	above	above	ADJ
fis-1244	33	7	general	general	ADJ
fis-1244	33	8	definition	definition	NOUN
fis-1244	33	9	of	of	ADP
fis-1244	33	10	a	a	DET
fis-1244	33	11	lie	lie	NOUN
fis-1244	33	12	algebra	algebra	NOUN
fis-1244	33	13	implies	imply	VERB
fis-1244	33	14	that	that	SCONJ
fis-1244	33	15	the	the	DET
fis-1244	33	16	6x6	6x6	NUM
fis-1244	33	17	matrix	matrix	NOUN
fis-1244	33	18			PROPN
fis-1244	33	19	ra	ra	NUM
fis-1244	33	20	governing	governing	NOUN
fis-1244	33	21	(	(	PUNCT
fis-1244	33	22	1	1	NUM
fis-1244	33	23	)	)	PUNCT
fis-1244	33	24	is	be	AUX
fis-1244	33	25	an	an	DET
fis-1244	33	26	element	element	NOUN
fis-1244	33	27	of	of	ADP
fis-1244	33	28	a	a	DET
fis-1244	33	29	matrix	matrix	NOUN
fis-1244	33	30	lie	lie	NOUN
fis-1244	33	31	algebra	algebra	NOUN
fis-1244	33	32	.	.	PUNCT
fis-1244	34	1	moreover	moreover	ADV
fis-1244	34	2	,	,	PUNCT
fis-1244	34	3	in	in	ADP
fis-1244	34	4	this	this	DET
fis-1244	34	5	setting	set	VERB
fis-1244	34	6	the	the	DET
fis-1244	34	7	associated	associated	ADJ
fis-1244	34	8	matrix	matrix	NOUN
fis-1244	34	9	lie	lie	NOUN
fis-1244	34	10	algebra	algebra	NOUN
fis-1244	34	11	is	be	AUX
fis-1244	34	12	endowed	endow	VERB
fis-1244	34	13	with	with	ADP
fis-1244	34	14	the	the	DET
fis-1244	34	15	matrix	matrix	NOUN
fis-1244	34	16	commutation	commutation	NOUN
fis-1244	34	17	law	law	NOUN
fis-1244	34	18			PROPN
fis-1244	34	19			PROPN
fis-1244	34	20	,	,	PUNCT
fis-1244	34	21	:	:	PUNCT
fis-1244	34	22	=	=	SYM
fis-1244	34	23	a	a	PROPN
fis-1244	34	24	b	b	X
fis-1244	34	25	ab	ab	PROPN
fis-1244	34	26	ba	ba	PROPN
fis-1244	34	27	(	(	PUNCT
fis-1244	34	28	2	2	NUM
fis-1244	34	29	)	)	PUNCT
fis-1244	34	30	where	where	SCONJ
fis-1244	34	31			ADJ
fis-1244	34	32			PROPN
fis-1244	34	33	,	,	PUNCT
fis-1244	34	34	a	a	DET
fis-1244	34	35	b	b	NOUN
fis-1244	34	36	is	be	AUX
fis-1244	34	37	commonly	commonly	ADV
fis-1244	34	38	called	call	VERB
fis-1244	34	39	the	the	DET
fis-1244	34	40	matrix	matrix	NOUN
fis-1244	34	41	commutator	commutator	NOUN
fis-1244	34	42	.	.	PUNCT
fis-1244	35	1	finally	finally	ADV
fis-1244	35	2	,	,	PUNCT
fis-1244	35	3	for	for	ADP
fis-1244	35	4	these	these	DET
fis-1244	35	5	special	special	ADJ
fis-1244	35	6	matrix	matrix	NOUN
fis-1244	35	7	lie	lie	NOUN
fis-1244	35	8	groups	group	NOUN
fis-1244	35	9	the	the	DET
fis-1244	35	10	matrix	matrix	NOUN
fis-1244	35	11	exponential	exponential	NOUN
fis-1244	35	12	function	function	NOUN
fis-1244	35	13	plays	play	VERB
fis-1244	35	14	the	the	DET
fis-1244	35	15	role	role	NOUN
fis-1244	35	16	of	of	ADP
fis-1244	35	17	the	the	DET
fis-1244	35	18	natural	natural	ADJ
fis-1244	35	19	mapping	mapping	NOUN
fis-1244	35	20	.	.	PUNCT
fis-1244	36	1	we	we	PRON
fis-1244	36	2	emphasize	emphasize	VERB
fis-1244	36	3	that	that	SCONJ
fis-1244	36	4	in	in	ADP
fis-1244	36	5	the	the	DET
fis-1244	36	6	theory	theory	NOUN
fis-1244	36	7	of	of	ADP
fis-1244	36	8	lie	lie	NOUN
fis-1244	36	9	groups	group	NOUN
fis-1244	36	10	the	the	DET
fis-1244	36	11	role	role	NOUN
fis-1244	36	12	of	of	ADP
fis-1244	36	13	the	the	DET
fis-1244	36	14	exponential	exponential	ADJ
fis-1244	36	15	mapping	mapping	NOUN
fis-1244	36	16	is	be	AUX
fis-1244	36	17	crucial	crucial	ADJ
fis-1244	36	18	.	.	PUNCT
fis-1244	37	1	indeed	indeed	ADV
fis-1244	37	2	,	,	PUNCT
fis-1244	37	3	within	within	ADP
fis-1244	37	4	the	the	DET
fis-1244	37	5	context	context	NOUN
fis-1244	37	6	of	of	ADP
fis-1244	37	7	differential	differential	ADJ
fis-1244	37	8	geometry	geometry	NOUN
fis-1244	37	9	,	,	PUNCT
fis-1244	37	10	the	the	DET
fis-1244	37	11	matrix	matrix	NOUN
fis-1244	37	12	exponential	exponential	NOUN
fis-1244	37	13	maps	map	VERB
fis-1244	37	14	an	an	DET
fis-1244	37	15	element	element	NOUN
fis-1244	37	16	belonging	belong	VERB
fis-1244	37	17	to	to	ADP
fis-1244	37	18	a	a	DET
fis-1244	37	19	matrix	matrix	NOUN
fis-1244	37	20	lie	lie	NOUN
fis-1244	37	21	algebra	algebra	NOUN
fis-1244	37	22	into	into	ADP
fis-1244	37	23	an	an	DET
fis-1244	37	24	invertible	invertible	ADJ
fis-1244	37	25	matrix	matrix	NOUN
fis-1244	37	26	belonging	belong	VERB
fis-1244	37	27	to	to	ADP
fis-1244	37	28	its	its	PRON
fis-1244	37	29	corresponding	correspond	VERB
fis-1244	37	30	lie	lie	NOUN
fis-1244	37	31	group	group	NOUN
fis-1244	37	32	;	;	PUNCT
fis-1244	37	33	in	in	ADP
fis-1244	37	34	other	other	ADJ
fis-1244	37	35	words	word	NOUN
fis-1244	37	36	,	,	PUNCT
fis-1244	37	37	the	the	DET
fis-1244	37	38	exponential	exponential	ADJ
fis-1244	37	39	mapping	mapping	NOUN
fis-1244	37	40	allows	allow	VERB
fis-1244	37	41	to	to	PART
fis-1244	37	42	recapture	recapture	VERB
fis-1244	37	43	the	the	DET
fis-1244	37	44	local	local	ADJ
fis-1244	37	45	a	a	DET
fis-1244	37	46	a.	a.	NOUN
fis-1244	37	47	castellano	castellano	NOUN
fis-1244	37	48	et	et	PROPN
fis-1244	37	49	alii	alii	PROPN
fis-1244	37	50	,	,	PUNCT
fis-1244	37	51	frattura	frattura	PROPN
fis-1244	37	52	ed	ed	PROPN
fis-1244	37	53	integrità	integrità	PROPN
fis-1244	37	54	strutturale	strutturale	PROPN
fis-1244	37	55	,	,	PUNCT
fis-1244	37	56	29	29	NUM
fis-1244	37	57	(	(	PUNCT
fis-1244	37	58	2014	2014	NUM
fis-1244	37	59	)	)	PUNCT
fis-1244	37	60	128	128	NUM
fis-1244	37	61	-	-	SYM
fis-1244	37	62	138	138	NUM
fis-1244	37	63	;	;	PUNCT
fis-1244	37	64	doi	doi	NOUN
fis-1244	37	65	:	:	PUNCT
fis-1244	37	66	10.3221	10.3221	NUM
fis-1244	37	67	/	/	SYM
fis-1244	37	68	igf	igf	PROPN
fis-1244	37	69	-	-	PUNCT
fis-1244	37	70	esis.29.12	esis.29.12	PROPN
fis-1244	37	71	130	130	NUM
fis-1244	37	72	group	group	NOUN
fis-1244	37	73	structure	structure	NOUN
fis-1244	37	74	from	from	ADP
fis-1244	37	75	the	the	DET
fis-1244	37	76	corresponding	correspond	VERB
fis-1244	37	77	lie	lie	NOUN
fis-1244	37	78	algebra	algebra	NOUN
fis-1244	37	79	.	.	PUNCT
fis-1244	38	1	thus	thus	ADV
fis-1244	38	2	,	,	PUNCT
fis-1244	38	3	for	for	ADP
fis-1244	38	4	a	a	DET
fis-1244	38	5	first	first	ADJ
fis-1244	38	6	order	order	NOUN
fis-1244	38	7	ode	ode	NOUN
fis-1244	38	8	system	system	NOUN
fis-1244	38	9	like	like	ADP
fis-1244	38	10	(	(	PUNCT
fis-1244	38	11	1	1	NUM
fis-1244	38	12	)	)	PUNCT
fis-1244	38	13	,	,	PUNCT
fis-1244	38	14	it	it	PRON
fis-1244	38	15	is	be	AUX
fis-1244	38	16	natural	natural	ADJ
fis-1244	38	17	to	to	PART
fis-1244	38	18	attempt	attempt	VERB
fis-1244	38	19	to	to	PART
fis-1244	38	20	construct	construct	VERB
fis-1244	38	21	the	the	DET
fis-1244	38	22	solution	solution	NOUN
fis-1244	38	23	as	as	ADP
fis-1244	38	24	a	a	DET
fis-1244	38	25	matrix	matrix	NOUN
fis-1244	38	26	exponential	exponential	NOUN
fis-1244	38	27	with	with	ADP
fis-1244	38	28	exponent	exponent	NOUN
fis-1244	38	29	given	give	VERB
fis-1244	38	30	by	by	ADP
fis-1244	38	31	a	a	DET
fis-1244	38	32	matrix	matrix	NOUN
fis-1244	38	33	which	which	PRON
fis-1244	38	34	belongs	belong	VERB
fis-1244	38	35	to	to	ADP
fis-1244	38	36	the	the	DET
fis-1244	38	37	associated	associated	ADJ
fis-1244	38	38	lie	lie	NOUN
fis-1244	38	39	algebra	algebra	NOUN
fis-1244	38	40	.	.	PUNCT
fis-1244	39	1	this	this	DET
fis-1244	39	2	peculiarity	peculiarity	NOUN
fis-1244	39	3	of	of	ADP
fis-1244	39	4	the	the	DET
fis-1244	39	5	exponential	exponential	ADJ
fis-1244	39	6	mapping	mapping	NOUN
fis-1244	39	7	probably	probably	ADV
fis-1244	39	8	inspired	inspire	VERB
fis-1244	39	9	the	the	DET
fis-1244	39	10	idea	idea	NOUN
fis-1244	39	11	developed	develop	VERB
fis-1244	39	12	by	by	ADP
fis-1244	39	13	magnus	magnus	PROPN
fis-1244	40	1	[	[	X
fis-1244	40	2	4	4	NUM
fis-1244	40	3	]	]	PUNCT
fis-1244	40	4	,	,	PUNCT
fis-1244	40	5	who	who	PRON
fis-1244	40	6	proposed	propose	VERB
fis-1244	40	7	to	to	PART
fis-1244	40	8	express	express	VERB
fis-1244	40	9	the	the	DET
fis-1244	40	10	exponent	exponent	NOUN
fis-1244	40	11	by	by	ADP
fis-1244	40	12	a	a	DET
fis-1244	40	13	matrix	matrix	NOUN
fis-1244	40	14	series	series	NOUN
fis-1244	40	15	expansion	expansion	NOUN
fis-1244	40	16	made	make	VERB
fis-1244	40	17	of	of	ADP
fis-1244	40	18	infinite	infinite	ADJ
fis-1244	40	19	terms	term	NOUN
fis-1244	40	20	,	,	PUNCT
fis-1244	40	21	each	each	PRON
fis-1244	40	22	of	of	ADP
fis-1244	40	23	them	they	PRON
fis-1244	40	24	belonging	belong	VERB
fis-1244	40	25	to	to	ADP
fis-1244	40	26	the	the	DET
fis-1244	40	27	lie	lie	NOUN
fis-1244	40	28	algebra	algebra	NOUN
fis-1244	40	29	corresponding	correspond	VERB
fis-1244	40	30	to	to	ADP
fis-1244	40	31	the	the	DET
fis-1244	40	32	lie	lie	NOUN
fis-1244	40	33	group	group	NOUN
fis-1244	40	34	of	of	ADP
fis-1244	40	35	the	the	DET
fis-1244	40	36	unknown	unknown	ADJ
fis-1244	40	37	matricant	matricant	NOUN
fis-1244	40	38	.	.	PUNCT
fis-1244	41	1	in	in	ADP
fis-1244	41	2	detail	detail	NOUN
fis-1244	41	3	,	,	PUNCT
fis-1244	41	4	with	with	ADP
fis-1244	41	5	reference	reference	NOUN
fis-1244	41	6	to	to	ADP
fis-1244	41	7	the	the	DET
fis-1244	41	8	differential	differential	ADJ
fis-1244	41	9	problem	problem	NOUN
fis-1244	41	10	defined	define	VERB
fis-1244	41	11	in	in	ADP
fis-1244	41	12	(	(	PUNCT
fis-1244	41	13	1	1	X
fis-1244	41	14	)	)	PUNCT
fis-1244	41	15	the	the	DET
fis-1244	41	16	magnus	magnus	PROPN
fis-1244	41	17	method	method	NOUN
fis-1244	41	18	assumes	assume	VERB
fis-1244	41	19	the	the	DET
fis-1244	41	20	matricant	matricant	NOUN
fis-1244	41	21	to	to	PART
fis-1244	41	22	be	be	AUX
fis-1244	41	23	of	of	ADP
fis-1244	41	24	exponential	exponential	ADJ
fis-1244	41	25	form	form	NOUN
fis-1244	41	26	with	with	ADP
fis-1244	41	27	the	the	DET
fis-1244	41	28	exponent	exponent	NOUN
fis-1244	41	29	given	give	VERB
fis-1244	41	30	by	by	ADP
fis-1244	41	31	the	the	DET
fis-1244	41	32	following	follow	VERB
fis-1244	41	33	series	series	NOUN
fis-1244	41	34	expansion	expansion	NOUN
fis-1244	41	35	,	,	PUNCT
fis-1244	41	36	called	call	VERB
fis-1244	41	37	the	the	DET
fis-1244	41	38	magnus	magnus	PROPN
fis-1244	41	39	expansion	expansion	NOUN
fis-1244	41	40	:	:	PUNCT
fis-1244	42	1			NOUN
fis-1244	42	2			SYM
fis-1244	42	3			NOUN
fis-1244	42	4			SYM
fis-1244	42	5			NOUN
fis-1244	42	6			SYM
fis-1244	42	7			NOUN
fis-1244	42	8			SYM
fis-1244	42	9			NOUN
fis-1244	42	10			PROPN
fis-1244	42	11			NOUN
fis-1244	42	12	6x6	6x6	VERB
fis-1244	42	13	k	k	INTJ
fis-1244	43	1	k=1	k=1	PUNCT
fis-1244	43	2	r	r	NOUN
fis-1244	43	3	exp	exp	NOUN
fis-1244	43	4	r	r	NOUN
fis-1244	43	5	0	0	NUM
fis-1244	43	6	,	,	PUNCT
fis-1244	43	7	0	0	NUM
fis-1244	43	8	,	,	PUNCT
fis-1244	43	9	r	r	NOUN
fis-1244	43	10	r	r	NOUN
fis-1244	43	11			NOUN
fis-1244	43	12			PROPN
fis-1244	43	13			NOUN
fis-1244	43	14			NUM
fis-1244	43	15			PROPN
fis-1244	43	16			PROPN
fis-1244	43	17	y	y	NOUN
fis-1244	43	18	y	y	PROPN
fis-1244	44	1	o	o	PROPN
fis-1244	44	2			PROPN
fis-1244	44	3			PROPN
fis-1244	44	4			NOUN
fis-1244	44	5	(	(	PUNCT
fis-1244	44	6	3	3	NUM
fis-1244	44	7	)	)	PUNCT
fis-1244	44	8	here	here	ADV
fis-1244	44	9	we	we	PRON
fis-1244	44	10	do	do	AUX
fis-1244	44	11	not	not	PART
fis-1244	44	12	report	report	VERB
fis-1244	44	13	the	the	DET
fis-1244	44	14	analytical	analytical	ADJ
fis-1244	44	15	procedures	procedure	NOUN
fis-1244	44	16	for	for	ADP
fis-1244	44	17	determining	determine	VERB
fis-1244	44	18	the	the	DET
fis-1244	44	19	terms	term	NOUN
fis-1244	44	20	of	of	ADP
fis-1244	44	21	the	the	DET
fis-1244	44	22	series	series	NOUN
fis-1244	44	23	expansion	expansion	NOUN
fis-1244	44	24	in	in	ADP
fis-1244	44	25	(	(	PUNCT
fis-1244	44	26	3	3	NUM
fis-1244	44	27	)	)	PUNCT
fis-1244	44	28	.	.	PUNCT
fis-1244	45	1	we	we	PRON
fis-1244	45	2	address	address	VERB
fis-1244	45	3	the	the	DET
fis-1244	45	4	reader	reader	NOUN
fis-1244	45	5	to	to	ADP
fis-1244	45	6	the	the	DET
fis-1244	45	7	seminal	seminal	ADJ
fis-1244	45	8	paper	paper	NOUN
fis-1244	45	9	[	[	X
fis-1244	45	10	5	5	NUM
fis-1244	45	11	]	]	PUNCT
fis-1244	45	12	where	where	SCONJ
fis-1244	45	13	,	,	PUNCT
fis-1244	45	14	in	in	ADP
fis-1244	45	15	view	view	NOUN
fis-1244	45	16	of	of	ADP
fis-1244	45	17	(	(	PUNCT
fis-1244	45	18	1	1	NUM
fis-1244	45	19	)	)	PUNCT
fis-1244	45	20	and	and	CCONJ
fis-1244	45	21	(	(	PUNCT
fis-1244	45	22	3	3	NUM
fis-1244	45	23	)	)	PUNCT
fis-1244	45	24	,	,	PUNCT
fis-1244	45	25	and	and	CCONJ
fis-1244	45	26	according	accord	VERB
fis-1244	45	27	to	to	ADP
fis-1244	45	28	the	the	DET
fis-1244	45	29	notions	notion	NOUN
fis-1244	45	30	of	of	ADP
fis-1244	45	31	the	the	DET
fis-1244	45	32	first	first	ADJ
fis-1244	45	33	derivative	derivative	NOUN
fis-1244	45	34	of	of	ADP
fis-1244	45	35	a	a	DET
fis-1244	45	36	matrix	matrix	NOUN
fis-1244	45	37	exponential	exponential	NOUN
fis-1244	45	38	map	map	NOUN
fis-1244	45	39	and	and	CCONJ
fis-1244	45	40	of	of	ADP
fis-1244	45	41	its	its	PRON
fis-1244	45	42	inverse	inverse	NOUN
fis-1244	45	43	(	(	PUNCT
fis-1244	45	44	see	see	VERB
fis-1244	45	45	formulae	formulae	NOUN
fis-1244	45	46	(	(	PUNCT
fis-1244	45	47	33	33	NUM
fis-1244	45	48	)	)	PUNCT
fis-1244	45	49	and	and	CCONJ
fis-1244	45	50	(	(	PUNCT
fis-1244	45	51	38	38	NUM
fis-1244	45	52	)	)	PUNCT
fis-1244	45	53	in	in	ADP
fis-1244	45	54	[	[	X
fis-1244	45	55	5	5	NUM
fis-1244	45	56	]	]	NUM
fis-1244	45	57	)	)	PUNCT
fis-1244	45	58	,	,	PUNCT
fis-1244	45	59	it	it	PRON
fis-1244	45	60	is	be	AUX
fis-1244	45	61	clearly	clearly	ADV
fis-1244	45	62	showed	show	VERB
fis-1244	45	63	how	how	SCONJ
fis-1244	45	64	it	it	PRON
fis-1244	45	65	is	be	AUX
fis-1244	45	66	possible	possible	ADJ
fis-1244	45	67	to	to	PART
fis-1244	45	68	construct	construct	VERB
fis-1244	45	69	all	all	DET
fis-1244	45	70	the	the	DET
fis-1244	45	71	terms	term	NOUN
fis-1244	45	72	of	of	ADP
fis-1244	45	73	the	the	DET
fis-1244	45	74	magnus	magnus	PROPN
fis-1244	45	75	series	series	NOUN
fis-1244	45	76	.	.	PUNCT
fis-1244	46	1	for	for	ADP
fis-1244	46	2	our	our	PRON
fis-1244	46	3	purposes	purpose	NOUN
fis-1244	46	4	,	,	PUNCT
fis-1244	46	5	we	we	PRON
fis-1244	46	6	report	report	VERB
fis-1244	46	7	here	here	ADV
fis-1244	46	8	only	only	ADV
fis-1244	46	9	the	the	DET
fis-1244	46	10	first	first	ADJ
fis-1244	46	11	two	two	NUM
fis-1244	46	12	terms	term	NOUN
fis-1244	46	13	of	of	ADP
fis-1244	46	14	the	the	DET
fis-1244	46	15	series	series	NOUN
fis-1244	46	16	:	:	PUNCT
fis-1244	46	17			NOUN
fis-1244	46	18			SYM
fis-1244	46	19			NOUN
fis-1244	46	20			SYM
fis-1244	46	21			NOUN
fis-1244	46	22			SYM
fis-1244	46	23			NOUN
fis-1244	46	24			SYM
fis-1244	46	25			NOUN
fis-1244	46	26			PUNCT
fis-1244	46	27	1r	1r	NUM
fis-1244	46	28	r	r	NOUN
fis-1244	46	29	1	1	NUM
fis-1244	46	30	1	1	NUM
fis-1244	46	31	1	1	NUM
fis-1244	46	32	2	2	NUM
fis-1244	46	33	1	1	NUM
fis-1244	46	34	1	1	NUM
fis-1244	46	35	2	2	NUM
fis-1244	46	36	2	2	NUM
fis-1244	46	37	0	0	NUM
fis-1244	46	38	0	0	NUM
fis-1244	46	39	0	0	NUM
fis-1244	46	40	1	1	NUM
fis-1244	46	41	r	r	NOUN
fis-1244	46	42	d	d	NOUN
fis-1244	46	43	,	,	PUNCT
fis-1244	46	44	r	r	NOUN
fis-1244	46	45	d	d	NOUN
fis-1244	46	46	,	,	PUNCT
fis-1244	46	47	d	d	PROPN
fis-1244	46	48	2	2	NUM
fis-1244	46	49			ADP
fis-1244	46	50			PROPN
fis-1244	46	51			PROPN
fis-1244	46	52			ADP
fis-1244	46	53			ADP
fis-1244	46	54			PROPN
fis-1244	46	55			ADP
fis-1244	46	56			X
fis-1244	46	57			X
fis-1244	46	58			X
fis-1244	46	59			X
fis-1244	46	60			X
fis-1244	46	61	a	a	PROPN
fis-1244	46	62	a	a	PRON
fis-1244	46	63	a	a	PROPN
fis-1244	46	64			PROPN
fis-1244	46	65	(	(	PUNCT
fis-1244	46	66	4	4	NUM
fis-1244	46	67	)	)	PUNCT
fis-1244	47	1	where	where	SCONJ
fis-1244	47	2	[	[	X
fis-1244	47	3	.	.	PUNCT
fis-1244	47	4	,	,	PUNCT
fis-1244	47	5	.	.	PUNCT
fis-1244	47	6	]	]	PUNCT
fis-1244	47	7	is	be	AUX
fis-1244	47	8	the	the	DET
fis-1244	47	9	matrix	matrix	NOUN
fis-1244	47	10	commutator	commutator	NOUN
fis-1244	47	11	(	(	PUNCT
fis-1244	47	12	2	2	NUM
fis-1244	47	13	)	)	PUNCT
fis-1244	47	14	and	and	CCONJ
fis-1244	47	15			NOUN
fis-1244	48	1	a	a	PROPN
fis-1244	48	2	is	be	AUX
fis-1244	48	3	the	the	DET
fis-1244	48	4	governing	govern	VERB
fis-1244	48	5	matrix	matrix	NOUN
fis-1244	48	6	of	of	ADP
fis-1244	48	7	(	(	PUNCT
fis-1244	48	8	1	1	NUM
fis-1244	48	9	)	)	PUNCT
fis-1244	48	10	.	.	PUNCT
fis-1244	49	1	notice	notice	VERB
fis-1244	49	2	that	that	SCONJ
fis-1244	49	3	each	each	PRON
fis-1244	49	4	of	of	ADP
fis-1244	49	5	the	the	DET
fis-1244	49	6	remaining	remain	VERB
fis-1244	49	7	terms	term	NOUN
fis-1244	49	8	(	(	PUNCT
fis-1244	49	9	here	here	ADV
fis-1244	49	10	not	not	PART
fis-1244	49	11	reported	report	VERB
fis-1244	49	12	)	)	PUNCT
fis-1244	49	13	contains	contain	VERB
fis-1244	49	14	nested	nested	ADJ
fis-1244	49	15	matrix	matrix	NOUN
fis-1244	49	16	commutators	commutator	NOUN
fis-1244	49	17	of	of	ADP
fis-1244	49	18	the	the	DET
fis-1244	49	19	form	form	NOUN
fis-1244	49	20	(	(	PUNCT
fis-1244	49	21	2	2	NUM
fis-1244	49	22	)	)	PUNCT
fis-1244	49	23	involving	involve	VERB
fis-1244	49	24	the	the	DET
fis-1244	49	25	matrix	matrix	NOUN
fis-1244	49	26	operator	operator	NOUN
fis-1244	49	27			NOUN
fis-1244	49	28	ra	ra	NUM
fis-1244	49	29	.	.	PUNCT
fis-1244	50	1	it	it	PRON
fis-1244	50	2	is	be	AUX
fis-1244	50	3	worth	worth	ADJ
fis-1244	50	4	to	to	PART
fis-1244	50	5	note	note	VERB
fis-1244	50	6	that	that	SCONJ
fis-1244	50	7	only	only	ADV
fis-1244	50	8	if	if	SCONJ
fis-1244	50	9	the	the	DET
fis-1244	50	10	commutative	commutative	ADJ
fis-1244	50	11	condition	condition	NOUN
fis-1244	50	12			NOUN
fis-1244	50	13			SYM
fis-1244	50	14			NOUN
fis-1244	50	15			SYM
fis-1244	50	16			NOUN
fis-1244	50	17			SYM
fis-1244	50	18			NOUN
fis-1244	51	1	1	1	NOUN
fis-1244	51	2	2	2	NUM
fis-1244	51	3	2	2	NUM
fis-1244	51	4	1	1	NUM
fis-1244	51	5	1	1	NUM
fis-1244	51	6	2r	2r	NUM
fis-1244	51	7	r	r	NOUN
fis-1244	51	8	r	r	NOUN
fis-1244	51	9	r	r	NOUN
fis-1244	51	10	for	for	ADP
fis-1244	51	11	each	each	DET
fis-1244	51	12	r	r	NOUN
fis-1244	51	13	,	,	PUNCT
fis-1244	51	14	ra	ra	VERB
fis-1244	51	15	a	a	DET
fis-1244	51	16	a	a	DET
fis-1244	51	17	a	a	DET
fis-1244	51	18	(	(	PUNCT
fis-1244	51	19	5	5	NUM
fis-1244	51	20	)	)	PUNCT
fis-1244	51	21	holds	hold	VERB
fis-1244	51	22	,	,	PUNCT
fis-1244	51	23	then	then	ADV
fis-1244	51	24	,	,	PUNCT
fis-1244	51	25	in	in	ADP
fis-1244	51	26	view	view	NOUN
fis-1244	51	27	of	of	ADP
fis-1244	51	28	(	(	PUNCT
fis-1244	51	29	3	3	NUM
fis-1244	51	30	)	)	PUNCT
fis-1244	51	31	,	,	PUNCT
fis-1244	51	32	(	(	PUNCT
fis-1244	51	33	1	1	X
fis-1244	51	34	)	)	PUNCT
fis-1244	51	35	and	and	CCONJ
fis-1244	51	36	(	(	PUNCT
fis-1244	51	37	4	4	NUM
fis-1244	51	38	)	)	PUNCT
fis-1244	51	39	,	,	PUNCT
fis-1244	51	40	the	the	DET
fis-1244	51	41	matricant	matricant	NOUN
fis-1244	51	42	of	of	ADP
fis-1244	51	43	(	(	PUNCT
fis-1244	51	44	1	1	X
fis-1244	51	45	)	)	PUNCT
fis-1244	51	46	takes	take	VERB
fis-1244	51	47	the	the	DET
fis-1244	51	48	exponential	exponential	ADJ
fis-1244	51	49	form	form	NOUN
fis-1244	51	50			NOUN
fis-1244	52	1			SYM
fis-1244	52	2			NOUN
fis-1244	52	3			PUNCT
fis-1244	52	4	r	r	NOUN
fis-1244	52	5	0	0	NUM
fis-1244	52	6	r	r	NOUN
fis-1244	52	7	exp	exp	NOUN
fis-1244	52	8	d	d	PROPN
fis-1244	52	9			PROPN
fis-1244	52	10			NOUN
fis-1244	52	11			PROPN
fis-1244	52	12			ADP
fis-1244	52	13			ADJ
fis-1244	52	14			PROPN
fis-1244	52	15			NOUN
fis-1244	52	16			PROPN
fis-1244	52	17			PROPN
fis-1244	52	18	y	y	PROPN
fis-1244	52	19	a	a	X
fis-1244	52	20	(	(	PUNCT
fis-1244	52	21	6	6	NUM
fis-1244	52	22	)	)	PUNCT
fis-1244	52	23	which	which	PRON
fis-1244	52	24	is	be	AUX
fis-1244	52	25	analogous	analogous	ADJ
fis-1244	52	26	to	to	ADP
fis-1244	52	27	the	the	DET
fis-1244	52	28	classical	classical	ADJ
fis-1244	52	29	exponential	exponential	ADJ
fis-1244	52	30	solution	solution	NOUN
fis-1244	52	31	for	for	ADP
fis-1244	52	32	a	a	DET
fis-1244	52	33	scalar	scalar	ADJ
fis-1244	52	34	linear	linear	ADJ
fis-1244	52	35	ode	ode	PROPN
fis-1244	52	36	.	.	PUNCT
fis-1244	53	1	clearly	clearly	ADV
fis-1244	53	2	,	,	PUNCT
fis-1244	53	3	(	(	PUNCT
fis-1244	53	4	6	6	X
fis-1244	53	5	)	)	PUNCT
fis-1244	53	6	yields	yield	VERB
fis-1244	53	7	the	the	DET
fis-1244	53	8	solution	solution	NOUN
fis-1244	53	9	of	of	ADP
fis-1244	53	10	(	(	PUNCT
fis-1244	53	11	1	1	X
fis-1244	53	12	)	)	PUNCT
fis-1244	53	13	if	if	SCONJ
fis-1244	53	14	the	the	DET
fis-1244	53	15	entries	entry	NOUN
fis-1244	53	16	of	of	ADP
fis-1244	53	17	the	the	DET
fis-1244	53	18	matrix	matrix	NOUN
fis-1244	53	19	a	a	DET
fis-1244	53	20	governing	governing	NOUN
fis-1244	53	21	(	(	PUNCT
fis-1244	53	22	1	1	NUM
fis-1244	53	23	)	)	PUNCT
fis-1244	53	24	are	be	AUX
fis-1244	53	25	independent	independent	ADJ
fis-1244	53	26	of	of	ADP
fis-1244	53	27	r.	r.	PROPN
fis-1244	53	28	obviously	obviously	ADV
fis-1244	53	29	,	,	PUNCT
fis-1244	53	30	(	(	PUNCT
fis-1244	53	31	5	5	X
fis-1244	53	32	)	)	PUNCT
fis-1244	53	33	holds	hold	VERB
fis-1244	53	34	only	only	ADV
fis-1244	53	35	in	in	ADP
fis-1244	53	36	special	special	ADJ
fis-1244	53	37	cases	case	NOUN
fis-1244	53	38	because	because	SCONJ
fis-1244	53	39	the	the	DET
fis-1244	53	40	matrices	matrix	NOUN
fis-1244	53	41	in	in	ADP
fis-1244	53	42	general	general	ADJ
fis-1244	53	43	do	do	AUX
fis-1244	53	44	not	not	PART
fis-1244	53	45	commute	commute	VERB
fis-1244	53	46	(	(	PUNCT
fis-1244	53	47	this	this	PRON
fis-1244	53	48	is	be	AUX
fis-1244	53	49	closely	closely	ADV
fis-1244	53	50	related	relate	VERB
fis-1244	53	51	to	to	ADP
fis-1244	53	52	the	the	DET
fis-1244	53	53	structure	structure	NOUN
fis-1244	53	54	of	of	ADP
fis-1244	53	55	the	the	DET
fis-1244	53	56	commutation	commutation	NOUN
fis-1244	53	57	law	law	NOUN
fis-1244	53	58	(	(	PUNCT
fis-1244	53	59	2	2	NUM
fis-1244	53	60	)	)	PUNCT
fis-1244	53	61	which	which	PRON
fis-1244	53	62	characterizes	characterize	VERB
fis-1244	53	63	matrix	matrix	NOUN
fis-1244	53	64	lie	lie	NOUN
fis-1244	53	65	algebras	algebra	NOUN
fis-1244	53	66	)	)	PUNCT
fis-1244	53	67	.	.	PUNCT
fis-1244	54	1	a	a	DET
fis-1244	54	2	crucial	crucial	ADJ
fis-1244	54	3	aspect	aspect	NOUN
fis-1244	54	4	of	of	ADP
fis-1244	54	5	the	the	DET
fis-1244	54	6	magnus	magnus	PROPN
fis-1244	54	7	method	method	NOUN
fis-1244	54	8	related	relate	VERB
fis-1244	54	9	to	to	ADP
fis-1244	54	10	its	its	PRON
fis-1244	54	11	pertinence	pertinence	NOUN
fis-1244	54	12	when	when	SCONJ
fis-1244	54	13	seeking	seek	VERB
fis-1244	54	14	approximate	approximate	ADJ
fis-1244	54	15	solutions	solution	NOUN
fis-1244	54	16	of	of	ADP
fis-1244	54	17	differential	differential	ADJ
fis-1244	54	18	problems	problem	NOUN
fis-1244	54	19	like	like	ADP
fis-1244	54	20	(	(	PUNCT
fis-1244	54	21	1	1	X
fis-1244	54	22	)	)	PUNCT
fis-1244	54	23	emerges	emerge	VERB
fis-1244	54	24	from	from	ADP
fis-1244	54	25	the	the	DET
fis-1244	54	26	analysis	analysis	NOUN
fis-1244	54	27	of	of	ADP
fis-1244	54	28	(	(	PUNCT
fis-1244	54	29	3	3	NUM
fis-1244	54	30	)	)	PUNCT
fis-1244	54	31	and	and	CCONJ
fis-1244	54	32	(	(	PUNCT
fis-1244	54	33	4	4	NUM
fis-1244	54	34	)	)	PUNCT
fis-1244	54	35	.	.	PUNCT
fis-1244	55	1	by	by	ADP
fis-1244	55	2	the	the	DET
fis-1244	55	3	above	above	ADJ
fis-1244	55	4	discussion	discussion	NOUN
fis-1244	55	5	,	,	PUNCT
fis-1244	55	6	we	we	PRON
fis-1244	55	7	recall	recall	VERB
fis-1244	55	8	that	that	SCONJ
fis-1244	55	9	the	the	DET
fis-1244	55	10	matrix	matrix	NOUN
fis-1244	55	11			PROPN
fis-1244	55	12	ra	ra	NUM
fis-1244	55	13	in	in	ADP
fis-1244	55	14	(	(	PUNCT
fis-1244	55	15	1	1	NUM
fis-1244	55	16	)	)	PUNCT
fis-1244	55	17	belongs	belong	VERB
fis-1244	55	18	to	to	ADP
fis-1244	55	19	a	a	DET
fis-1244	55	20	matrix	matrix	NOUN
fis-1244	55	21	lie	lie	NOUN
fis-1244	55	22	algebra	algebra	NOUN
fis-1244	55	23	for	for	ADP
fis-1244	55	24	all	all	DET
fis-1244	55	25	r	r	NOUN
fis-1244	55	26	;	;	PUNCT
fis-1244	55	27	thus	thus	ADV
fis-1244	55	28	,	,	PUNCT
fis-1244	55	29	in	in	ADP
fis-1244	55	30	view	view	NOUN
fis-1244	55	31	of	of	ADP
fis-1244	55	32	(	(	PUNCT
fis-1244	55	33	4	4	X
fis-1244	55	34	)	)	PUNCT
fis-1244	55	35	we	we	PRON
fis-1244	55	36	see	see	VERB
fis-1244	55	37	that	that	SCONJ
fis-1244	55	38	any	any	DET
fis-1244	55	39	term	term	NOUN
fis-1244	55	40	of	of	ADP
fis-1244	55	41	the	the	DET
fis-1244	55	42	magnus	magnus	PROPN
fis-1244	55	43	expansion	expansion	NOUN
fis-1244	55	44	belongs	belong	VERB
fis-1244	55	45	to	to	ADP
fis-1244	55	46	the	the	DET
fis-1244	55	47	same	same	ADJ
fis-1244	55	48	lie	lie	NOUN
fis-1244	55	49	algebra	algebra	NOUN
fis-1244	55	50	.	.	PUNCT
fis-1244	56	1	this	this	PRON
fis-1244	56	2	implies	imply	VERB
fis-1244	56	3	that	that	SCONJ
fis-1244	56	4	any	any	DET
fis-1244	56	5	truncation	truncation	NOUN
fis-1244	56	6	of	of	ADP
fis-1244	56	7	the	the	DET
fis-1244	56	8	magnus	magnus	PROPN
fis-1244	56	9	series	series	NOUN
fis-1244	56	10	will	will	AUX
fis-1244	56	11	also	also	ADV
fis-1244	56	12	belong	belong	VERB
fis-1244	56	13	to	to	ADP
fis-1244	56	14	the	the	DET
fis-1244	56	15	same	same	ADJ
fis-1244	56	16	lie	lie	NOUN
fis-1244	56	17	algebra	algebra	NOUN
fis-1244	56	18	and	and	CCONJ
fis-1244	56	19	therefore	therefore	ADV
fis-1244	56	20	the	the	DET
fis-1244	56	21	exponential	exponential	ADJ
fis-1244	56	22	map	map	NOUN
fis-1244	56	23	of	of	ADP
fis-1244	56	24	any	any	DET
fis-1244	56	25	truncation	truncation	NOUN
fis-1244	56	26	will	will	AUX
fis-1244	56	27	necessarily	necessarily	ADV
fis-1244	56	28	stay	stay	VERB
fis-1244	56	29	in	in	ADP
fis-1244	56	30	the	the	DET
fis-1244	56	31	corresponding	corresponding	ADJ
fis-1244	56	32	lie	lie	NOUN
fis-1244	56	33	group	group	NOUN
fis-1244	56	34	.	.	PUNCT
fis-1244	57	1	this	this	PRON
fis-1244	57	2	is	be	AUX
fis-1244	57	3	basically	basically	ADV
fis-1244	57	4	the	the	DET
fis-1244	57	5	main	main	ADJ
fis-1244	57	6	reason	reason	NOUN
fis-1244	57	7	why	why	SCONJ
fis-1244	57	8	an	an	DET
fis-1244	57	9	approximated	approximated	ADJ
fis-1244	57	10	solution	solution	NOUN
fis-1244	57	11	obtained	obtain	VERB
fis-1244	57	12	by	by	ADP
fis-1244	57	13	truncating	truncate	VERB
fis-1244	57	14	the	the	DET
fis-1244	57	15	magnus	magnus	PROPN
fis-1244	57	16	expansion	expansion	NOUN
fis-1244	57	17	at	at	ADP
fis-1244	57	18	any	any	DET
fis-1244	57	19	order	order	NOUN
fis-1244	57	20	preserves	preserve	VERB
fis-1244	57	21	the	the	DET
fis-1244	57	22	same	same	ADJ
fis-1244	57	23	qualitative	qualitative	ADJ
fis-1244	57	24	features	feature	NOUN
fis-1244	57	25	of	of	ADP
fis-1244	57	26	the	the	DET
fis-1244	57	27	exact	exact	ADJ
fis-1244	57	28	solution	solution	NOUN
fis-1244	57	29	.	.	PUNCT
fis-1244	58	1	another	another	DET
fis-1244	58	2	major	major	ADJ
fis-1244	58	3	issue	issue	NOUN
fis-1244	58	4	concerns	concern	VERB
fis-1244	58	5	the	the	DET
fis-1244	58	6	conditions	condition	NOUN
fis-1244	58	7	on	on	ADP
fis-1244	58	8	the	the	DET
fis-1244	58	9	matrix	matrix	NOUN
fis-1244	58	10			PROPN
fis-1244	58	11	ra	ra	NOUN
fis-1244	58	12	which	which	PRON
fis-1244	58	13	guarantee	guarantee	VERB
fis-1244	58	14	the	the	DET
fis-1244	58	15	convergence	convergence	NOUN
fis-1244	58	16	of	of	ADP
fis-1244	58	17	the	the	DET
fis-1244	58	18	magnus	magnus	PROPN
fis-1244	58	19	series	series	NOUN
fis-1244	58	20	.	.	PUNCT
fis-1244	59	1	this	this	DET
fis-1244	59	2	problem	problem	NOUN
fis-1244	59	3	has	have	AUX
fis-1244	59	4	been	be	AUX
fis-1244	59	5	studied	study	VERB
fis-1244	59	6	in	in	ADP
fis-1244	59	7	[	[	X
fis-1244	59	8	12	12	NUM
fis-1244	59	9	]	]	PUNCT
fis-1244	59	10	,	,	PUNCT
fis-1244	59	11	where	where	SCONJ
fis-1244	59	12	it	it	PRON
fis-1244	59	13	is	be	AUX
fis-1244	59	14	shown	show	VERB
fis-1244	59	15	that	that	SCONJ
fis-1244	59	16	a	a	DET
fis-1244	59	17	sufficient	sufficient	ADJ
fis-1244	59	18	condition	condition	NOUN
fis-1244	59	19	for	for	ADP
fis-1244	59	20	the	the	DET
fis-1244	59	21	local	local	ADJ
fis-1244	59	22	convergence	convergence	NOUN
fis-1244	59	23	of	of	ADP
fis-1244	59	24	the	the	DET
fis-1244	59	25	magnus	magnus	PROPN
fis-1244	59	26	series	series	NOUN
fis-1244	59	27	in	in	ADP
fis-1244	59	28	a	a	DET
fis-1244	59	29	certain	certain	ADJ
fis-1244	59	30	interval	interval	NOUN
fis-1244	59	31			NOUN
fis-1244	59	32	20	20	NOUN
fis-1244	59	33	,	,	PUNCT
fis-1244	59	34	r	r	NOUN
fis-1244	59	35	is	be	AUX
fis-1244	59	36	given	give	VERB
fis-1244	59	37	by	by	ADP
fis-1244	59	38	:	:	PUNCT
fis-1244	59	39			NOUN
fis-1244	59	40			PUNCT
fis-1244	59	41	2r	2r	NUM
fis-1244	59	42	2	2	NUM
fis-1244	59	43	0	0	NUM
fis-1244	59	44	r	r	NOUN
fis-1244	59	45	dr	dr	PROPN
fis-1244	59	46			PROPN
fis-1244	59	47			PROPN
fis-1244	59	48	a	a	PRON
fis-1244	59	49	(	(	PUNCT
fis-1244	59	50	7	7	NUM
fis-1244	59	51	)	)	PUNCT
fis-1244	59	52	where	where	SCONJ
fis-1244	59	53	the	the	DET
fis-1244	59	54	integrand	integrand	NOUN
fis-1244	59	55	function	function	NOUN
fis-1244	59	56	in	in	ADP
fis-1244	59	57	(	(	PUNCT
fis-1244	59	58	7	7	NUM
fis-1244	59	59	)	)	PUNCT
fis-1244	59	60	is	be	AUX
fis-1244	59	61	the	the	DET
fis-1244	59	62	spectral	spectral	ADJ
fis-1244	59	63	norm	norm	NOUN
fis-1244	59	64	of	of	ADP
fis-1244	59	65			PROPN
fis-1244	59	66	ra	ra	NUM
fis-1244	59	67	,	,	PUNCT
fis-1244	59	68	i.e.	i.e.	X
fis-1244	59	69	,	,	PUNCT
fis-1244	59	70	the	the	DET
fis-1244	59	71	square	square	ADJ
fis-1244	59	72	root	root	NOUN
fis-1244	59	73	of	of	ADP
fis-1244	59	74	the	the	DET
fis-1244	59	75	maximum	maximum	PROPN
fis-1244	59	76	eigenvalue	eigenvalue	NOUN
fis-1244	59	77	of	of	ADP
fis-1244	59	78	the	the	DET
fis-1244	59	79	product	product	NOUN
fis-1244	59	80			NOUN
fis-1244	59	81			SYM
fis-1244	59	82			PROPN
fis-1244	60	1	tr	tr	INTJ
fis-1244	60	2	ra	ra	PROPN
fis-1244	61	1	a	a	PRON
fis-1244	61	2	.	.	PUNCT
fis-1244	62	1	moreover	moreover	ADV
fis-1244	62	2	,	,	PUNCT
fis-1244	62	3	the	the	DET
fis-1244	62	4	fulfilment	fulfilment	NOUN
fis-1244	62	5	of	of	ADP
fis-1244	62	6	the	the	DET
fis-1244	62	7	inequality	inequality	NOUN
fis-1244	62	8	(	(	PUNCT
fis-1244	62	9	7	7	X
fis-1244	62	10	)	)	PUNCT
fis-1244	62	11	determines	determine	VERB
fis-1244	62	12	the	the	DET
fis-1244	62	13	range	range	NOUN
fis-1244	62	14	of	of	ADP
fis-1244	62	15	the	the	DET
fis-1244	62	16	independent	independent	ADJ
fis-1244	62	17	variable	variable	ADJ
fis-1244	62	18	r	r	NOUN
fis-1244	62	19	for	for	ADP
fis-1244	62	20	which	which	PRON
fis-1244	62	21	it	it	PRON
fis-1244	62	22	is	be	AUX
fis-1244	62	23	possible	possible	ADJ
fis-1244	62	24	to	to	PART
fis-1244	62	25	write	write	VERB
fis-1244	62	26	the	the	DET
fis-1244	62	27	solution	solution	NOUN
fis-1244	62	28	in	in	ADP
fis-1244	62	29	the	the	DET
fis-1244	62	30	form	form	NOUN
fis-1244	62	31	(	(	PUNCT
fis-1244	62	32	3	3	NUM
fis-1244	62	33	)	)	PUNCT
fis-1244	62	34	.	.	PUNCT
fis-1244	63	1	however	however	ADV
fis-1244	63	2	,	,	PUNCT
fis-1244	63	3	in	in	ADP
fis-1244	63	4	many	many	ADJ
fis-1244	63	5	applicative	applicative	ADJ
fis-1244	63	6	cases	case	NOUN
fis-1244	63	7	it	it	PRON
fis-1244	63	8	happens	happen	VERB
fis-1244	63	9	that	that	SCONJ
fis-1244	63	10	the	the	DET
fis-1244	63	11	convergence	convergence	NOUN
fis-1244	63	12	condition	condition	NOUN
fis-1244	63	13	(	(	PUNCT
fis-1244	63	14	7	7	X
fis-1244	63	15	)	)	PUNCT
fis-1244	63	16	does	do	AUX
fis-1244	63	17	not	not	PART
fis-1244	63	18	hold	hold	VERB
fis-1244	63	19	for	for	ADP
fis-1244	63	20	the	the	DET
fis-1244	63	21	whole	whole	ADJ
fis-1244	63	22	integration	integration	NOUN
fis-1244	63	23	interval	interval	NOUN
fis-1244	63	24			PROPN
fis-1244	63	25	20	20	NOUN
fis-1244	63	26	,	,	PUNCT
fis-1244	63	27	r	r	NOUN
fis-1244	63	28	.	.	PUNCT
fis-1244	64	1	in	in	ADP
fis-1244	64	2	these	these	DET
fis-1244	64	3	cases	case	NOUN
fis-1244	64	4	,	,	PUNCT
fis-1244	64	5	as	as	ADP
fis-1244	64	6	usual	usual	ADJ
fis-1244	64	7	for	for	ADP
fis-1244	64	8	numerical	numerical	PROPN
fis-1244	64	9	a.	a.	PROPN
fis-1244	64	10	castellano	castellano	PROPN
fis-1244	64	11	et	et	PROPN
fis-1244	64	12	alii	alii	PROPN
fis-1244	64	13	,	,	PUNCT
fis-1244	64	14	frattura	frattura	PROPN
fis-1244	64	15	ed	ed	PROPN
fis-1244	64	16	integrità	integrità	PROPN
fis-1244	64	17	strutturale	strutturale	PROPN
fis-1244	64	18	,	,	PUNCT
fis-1244	64	19	29	29	NUM
fis-1244	64	20	(	(	PUNCT
fis-1244	64	21	2014	2014	NUM
fis-1244	64	22	)	)	PUNCT
fis-1244	64	23	128	128	NUM
fis-1244	64	24	-	-	SYM
fis-1244	64	25	138	138	NUM
fis-1244	64	26	;	;	PUNCT
fis-1244	64	27	doi	doi	NOUN
fis-1244	64	28	:	:	PUNCT
fis-1244	64	29	10.3221	10.3221	NUM
fis-1244	64	30	/	/	SYM
fis-1244	64	31	igf	igf	PROPN
fis-1244	64	32	-	-	PUNCT
fis-1244	64	33	esis.29.12	esis.29.12	PROPN
fis-1244	64	34	131	131	NUM
fis-1244	64	35	integration	integration	NOUN
fis-1244	64	36	methods	method	NOUN
fis-1244	64	37	,	,	PUNCT
fis-1244	64	38	it	it	PRON
fis-1244	64	39	is	be	AUX
fis-1244	64	40	common	common	ADJ
fis-1244	64	41	dividing	divide	VERB
fis-1244	64	42	the	the	DET
fis-1244	64	43	interval	interval	NOUN
fis-1244	64	44			PROPN
fis-1244	64	45	20,r	20,r	PROPN
fis-1244	64	46	into	into	ADP
fis-1244	64	47	n	n	ADP
fis-1244	64	48	subintervals	subinterval	NOUN
fis-1244	65	1			PROPN
fis-1244	66	1	i+1	i+1	NOUN
fis-1244	66	2	ir	ir	NOUN
fis-1244	66	3	,	,	PUNCT
fis-1244	66	4	r	r	NOUN
fis-1244	66	5	such	such	ADJ
fis-1244	66	6	that	that	SCONJ
fis-1244	66	7	the	the	DET
fis-1244	66	8	magnus	magnus	PROPN
fis-1244	66	9	series	series	PROPN
fis-1244	66	10	converges	converge	VERB
fis-1244	66	11	in	in	ADP
fis-1244	66	12	each	each	PRON
fis-1244	66	13	of	of	ADP
fis-1244	66	14	them	they	PRON
fis-1244	66	15	.	.	PUNCT
fis-1244	67	1	given	give	VERB
fis-1244	67	2	such	such	DET
fis-1244	67	3	a	a	DET
fis-1244	67	4	subinterval	subinterval	NOUN
fis-1244	67	5			PROPN
fis-1244	67	6	i+1	i+1	NOUN
fis-1244	67	7	ir	ir	NOUN
fis-1244	67	8	,	,	PUNCT
fis-1244	67	9	r	r	NOUN
fis-1244	67	10	,	,	PUNCT
fis-1244	67	11	in	in	ADP
fis-1244	67	12	view	view	NOUN
fis-1244	67	13	of	of	ADP
fis-1244	67	14	(	(	PUNCT
fis-1244	67	15	3	3	X
fis-1244	67	16	)	)	PUNCT
fis-1244	67	17	we	we	PRON
fis-1244	67	18	may	may	AUX
fis-1244	67	19	write	write	VERB
fis-1244	67	20	:	:	PUNCT
fis-1244	67	21			NOUN
fis-1244	67	22			PUNCT
fis-1244	67	23			NOUN
fis-1244	67	24			NOUN
fis-1244	67	25			PROPN
fis-1244	67	26			NOUN
fis-1244	67	27	i+1	i+1	PUNCT
fis-1244	68	1	i+1	i+1	NUM
fis-1244	68	2	ir	ir	NOUN
fis-1244	68	3	exp	exp	NOUN
fis-1244	68	4	r	r	NOUN
fis-1244	68	5	ry	ry	NOUN
fis-1244	68	6	y	y	NOUN
fis-1244	68	7	(	(	PUNCT
fis-1244	68	8	8)	8)	NUM
fis-1244	68	9	wherein	wherein	ADJ
fis-1244	68	10			NOUN
fis-1244	69	1	i+1r	i+1r	PROPN
fis-1244	69	2	is	be	AUX
fis-1244	69	3	expressed	express	VERB
fis-1244	69	4	by	by	ADP
fis-1244	69	5	the	the	DET
fis-1244	69	6	infinite	infinite	ADJ
fis-1244	69	7	magnus	magnus	PROPN
fis-1244	69	8	series	series	NOUN
fis-1244	69	9	.	.	PUNCT
fis-1244	70	1	consequently	consequently	ADV
fis-1244	70	2	,	,	PUNCT
fis-1244	70	3	the	the	DET
fis-1244	70	4	matricant	matricant	NOUN
fis-1244	70	5	of	of	ADP
fis-1244	70	6	(	(	PUNCT
fis-1244	70	7	1	1	X
fis-1244	70	8	)	)	PUNCT
fis-1244	70	9	evaluated	evaluate	VERB
fis-1244	70	10	on	on	ADP
fis-1244	70	11	the	the	DET
fis-1244	70	12	whole	whole	ADJ
fis-1244	70	13	domain	domain	NOUN
fis-1244	70	14	of	of	ADP
fis-1244	70	15	interest	interest	NOUN
fis-1244	70	16			PROPN
fis-1244	70	17	20	20	NOUN
fis-1244	70	18	,	,	PUNCT
fis-1244	70	19	r	r	NOUN
fis-1244	70	20	takes	take	VERB
fis-1244	70	21	the	the	DET
fis-1244	70	22	form	form	NOUN
fis-1244	70	23			NOUN
fis-1244	70	24			PUNCT
fis-1244	70	25			NOUN
fis-1244	70	26			NOUN
fis-1244	70	27			PROPN
fis-1244	70	28	n	n	CCONJ
fis-1244	70	29	2	2	NUM
fis-1244	70	30	i+1	i+1	NUM
fis-1244	70	31	i=1	i=1	PROPN
fis-1244	70	32	r	r	NOUN
fis-1244	70	33	exp	exp	NOUN
fis-1244	70	34	r	r	NOUN
fis-1244	70	35			PROPN
fis-1244	70	36			NOUN
fis-1244	70	37			PROPN
fis-1244	70	38			NOUN
fis-1244	70	39			NOUN
fis-1244	70	40			VERB
fis-1244	70	41			PROPN
fis-1244	70	42	y	y	PROPN
fis-1244	70	43			PROPN
fis-1244	70	44	(	(	PUNCT
fis-1244	70	45	9	9	NUM
fis-1244	70	46	)	)	PUNCT
fis-1244	70	47	as	as	SCONJ
fis-1244	70	48	it	it	PRON
fis-1244	70	49	usually	usually	ADV
fis-1244	70	50	occurs	occur	VERB
fis-1244	70	51	when	when	SCONJ
fis-1244	70	52	constructing	construct	VERB
fis-1244	70	53	approximate	approximate	ADJ
fis-1244	70	54	solutions	solution	NOUN
fis-1244	70	55	,	,	PUNCT
fis-1244	70	56	a	a	DET
fis-1244	70	57	crucial	crucial	ADJ
fis-1244	70	58	issue	issue	NOUN
fis-1244	70	59	is	be	AUX
fis-1244	70	60	that	that	PRON
fis-1244	70	61	of	of	ADP
fis-1244	70	62	choosing	choose	VERB
fis-1244	70	63	an	an	DET
fis-1244	70	64	appropriate	appropriate	ADJ
fis-1244	70	65	order	order	NOUN
fis-1244	70	66	of	of	ADP
fis-1244	70	67	truncation	truncation	NOUN
fis-1244	70	68	for	for	ADP
fis-1244	70	69			NOUN
fis-1244	70	70	i+1r	i+1r	PROPN
fis-1244	70	71	which	which	PRON
fis-1244	70	72	guarantees	guarantee	VERB
fis-1244	70	73	a	a	DET
fis-1244	70	74	suitable	suitable	ADJ
fis-1244	70	75	level	level	NOUN
fis-1244	70	76	of	of	ADP
fis-1244	70	77	accuracy	accuracy	NOUN
fis-1244	70	78	.	.	PUNCT
fis-1244	71	1	to	to	ADP
fis-1244	71	2	this	this	DET
fis-1244	71	3	aim	aim	NOUN
fis-1244	71	4	,	,	PUNCT
fis-1244	71	5	we	we	PRON
fis-1244	71	6	recall	recall	VERB
fis-1244	71	7	the	the	DET
fis-1244	71	8	efficient	efficient	ADJ
fis-1244	71	9	procedure	procedure	NOUN
fis-1244	71	10	suggested	suggest	VERB
fis-1244	71	11	in	in	ADP
fis-1244	71	12	[	[	X
fis-1244	71	13	7	7	NUM
fis-1244	71	14	]	]	PUNCT
fis-1244	71	15	,	,	PUNCT
fis-1244	71	16	which	which	PRON
fis-1244	71	17	may	may	AUX
fis-1244	71	18	be	be	AUX
fis-1244	71	19	summarized	summarize	VERB
fis-1244	71	20	in	in	ADP
fis-1244	71	21	the	the	DET
fis-1244	71	22	following	follow	VERB
fis-1244	71	23	three	three	NUM
fis-1244	71	24	steps	step	NOUN
fis-1244	71	25	:	:	PUNCT
fis-1244	71	26	first	first	ADV
fis-1244	71	27	,	,	PUNCT
fis-1244	71	28	the	the	DET
fis-1244	71	29	series	series	NOUN
fis-1244	71	30			PROPN
fis-1244	71	31	i+1r	i+1r	PROPN
fis-1244	71	32	is	be	AUX
fis-1244	71	33	truncated	truncate	VERB
fis-1244	71	34	at	at	ADP
fis-1244	71	35	a	a	DET
fis-1244	71	36	suitable	suitable	ADJ
fis-1244	71	37	order	order	NOUN
fis-1244	71	38	in	in	ADP
fis-1244	71	39	each	each	DET
fis-1244	71	40	subinterval	subinterval	NOUN
fis-1244	71	41	wherein	wherein	SCONJ
fis-1244	71	42	the	the	DET
fis-1244	71	43	convergence	convergence	NOUN
fis-1244	71	44	is	be	AUX
fis-1244	71	45	guaranteed	guarantee	VERB
fis-1244	71	46	.	.	PUNCT
fis-1244	72	1	then	then	ADV
fis-1244	72	2	,	,	PUNCT
fis-1244	72	3	the	the	DET
fis-1244	72	4	integrals	integral	NOUN
fis-1244	72	5	appearing	appear	VERB
fis-1244	72	6	in	in	ADP
fis-1244	72	7	each	each	DET
fis-1244	72	8	truncated	truncate	VERB
fis-1244	72	9	series	series	NOUN
fis-1244	72	10	are	be	AUX
fis-1244	72	11	approximated	approximate	VERB
fis-1244	72	12	by	by	ADP
fis-1244	72	13	appropriate	appropriate	ADJ
fis-1244	72	14	quadrature	quadrature	NOUN
fis-1244	72	15	rules	rule	NOUN
fis-1244	72	16	.	.	PUNCT
fis-1244	73	1	finally	finally	ADV
fis-1244	73	2	,	,	PUNCT
fis-1244	73	3	the	the	DET
fis-1244	73	4	exponential	exponential	NOUN
fis-1244	73	5	of	of	ADP
fis-1244	73	6	the	the	DET
fis-1244	73	7	matrix	matrix	NOUN
fis-1244	73	8			NOUN
fis-1244	73	9	i+1r	i+1r	PROPN
fis-1244	73	10	is	be	AUX
fis-1244	73	11	evaluated	evaluate	VERB
fis-1244	73	12	.	.	PUNCT
fis-1244	74	1	the	the	DET
fis-1244	74	2	qualified	qualified	ADJ
fis-1244	74	3	literature	literature	NOUN
fis-1244	74	4	on	on	ADP
fis-1244	74	5	this	this	DET
fis-1244	74	6	issue	issue	NOUN
fis-1244	74	7	contains	contain	VERB
fis-1244	74	8	a	a	DET
fis-1244	74	9	number	number	NOUN
fis-1244	74	10	of	of	ADP
fis-1244	74	11	proposals	proposal	NOUN
fis-1244	74	12	which	which	PRON
fis-1244	74	13	correlate	correlate	VERB
fis-1244	74	14	the	the	DET
fis-1244	74	15	level	level	NOUN
fis-1244	74	16	of	of	ADP
fis-1244	74	17	accuracy	accuracy	NOUN
fis-1244	74	18	of	of	ADP
fis-1244	74	19	the	the	DET
fis-1244	74	20	method	method	NOUN
fis-1244	74	21	to	to	ADP
fis-1244	74	22	the	the	DET
fis-1244	74	23	order	order	NOUN
fis-1244	74	24	of	of	ADP
fis-1244	74	25	truncation	truncation	NOUN
fis-1244	74	26	of	of	ADP
fis-1244	74	27	the	the	DET
fis-1244	74	28	magnus	magnus	PROPN
fis-1244	74	29	series	series	NOUN
fis-1244	74	30	.	.	PUNCT
fis-1244	75	1	we	we	PRON
fis-1244	75	2	recall	recall	VERB
fis-1244	75	3	the	the	DET
fis-1244	75	4	paper	paper	NOUN
fis-1244	76	1	[	[	X
fis-1244	76	2	6	6	NUM
fis-1244	76	3	]	]	PUNCT
fis-1244	76	4	for	for	ADP
fis-1244	76	5	an	an	DET
fis-1244	76	6	overview	overview	NOUN
fis-1244	76	7	on	on	ADP
fis-1244	76	8	this	this	DET
fis-1244	76	9	problem	problem	NOUN
fis-1244	76	10	.	.	PUNCT
fis-1244	77	1	finally	finally	ADV
fis-1244	77	2	,	,	PUNCT
fis-1244	77	3	the	the	DET
fis-1244	77	4	accurate	accurate	ADJ
fis-1244	77	5	calculation	calculation	NOUN
fis-1244	77	6	of	of	ADP
fis-1244	77	7	the	the	DET
fis-1244	77	8	exponential	exponential	NOUN
fis-1244	77	9	of	of	ADP
fis-1244	77	10	a	a	DET
fis-1244	77	11	matrix	matrix	NOUN
fis-1244	77	12	is	be	AUX
fis-1244	77	13	still	still	ADV
fis-1244	77	14	an	an	DET
fis-1244	77	15	open	open	ADJ
fis-1244	77	16	problem	problem	NOUN
fis-1244	77	17	,	,	PUNCT
fis-1244	77	18	as	as	SCONJ
fis-1244	77	19	one	one	PRON
fis-1244	77	20	may	may	AUX
fis-1244	77	21	infer	infer	VERB
fis-1244	77	22	from	from	ADP
fis-1244	77	23	the	the	DET
fis-1244	77	24	paper	paper	NOUN
fis-1244	78	1	[	[	X
fis-1244	78	2	13	13	NUM
fis-1244	78	3	]	]	PUNCT
fis-1244	78	4	.	.	PUNCT
fis-1244	79	1	in	in	ADP
fis-1244	79	2	the	the	DET
fis-1244	79	3	spirit	spirit	NOUN
fis-1244	79	4	of	of	ADP
fis-1244	79	5	geometric	geometric	ADJ
fis-1244	79	6	numerical	numerical	ADJ
fis-1244	79	7	integration	integration	NOUN
fis-1244	79	8	methods	method	NOUN
fis-1244	79	9	,	,	PUNCT
fis-1244	79	10	the	the	DET
fis-1244	79	11	consequence	consequence	NOUN
fis-1244	79	12	of	of	ADP
fis-1244	79	13	an	an	DET
fis-1244	79	14	inaccurate	inaccurate	ADJ
fis-1244	79	15	computation	computation	NOUN
fis-1244	79	16	of	of	ADP
fis-1244	79	17	the	the	DET
fis-1244	79	18	exponential	exponential	ADJ
fis-1244	79	19	matrix	matrix	NOUN
fis-1244	79	20	due	due	ADJ
fis-1244	79	21	,	,	PUNCT
fis-1244	79	22	for	for	ADP
fis-1244	79	23	example	example	NOUN
fis-1244	79	24	,	,	PUNCT
fis-1244	79	25	by	by	ADP
fis-1244	79	26	the	the	DET
fis-1244	79	27	replacement	replacement	NOUN
fis-1244	79	28	of	of	ADP
fis-1244	79	29	the	the	DET
fis-1244	79	30	exponential	exponential	ADJ
fis-1244	79	31	map	map	NOUN
fis-1244	79	32	with	with	ADP
fis-1244	79	33	one	one	NUM
fis-1244	79	34	of	of	ADP
fis-1244	79	35	its	its	PRON
fis-1244	79	36	analytic	analytic	NOUN
fis-1244	79	37	(	(	PUNCT
fis-1244	79	38	for	for	ADP
fis-1244	79	39	example	example	NOUN
fis-1244	79	40	rational	rational	ADJ
fis-1244	79	41	)	)	PUNCT
fis-1244	79	42	approximants	approximant	NOUN
fis-1244	79	43	may	may	AUX
fis-1244	79	44	lead	lead	VERB
fis-1244	79	45	to	to	ADP
fis-1244	79	46	a	a	DET
fis-1244	79	47	solution	solution	NOUN
fis-1244	79	48	not	not	PART
fis-1244	79	49	belonging	belong	VERB
fis-1244	79	50	to	to	ADP
fis-1244	79	51	the	the	DET
fis-1244	79	52	desired	desire	VERB
fis-1244	79	53	lie	lie	NOUN
fis-1244	79	54	group	group	NOUN
fis-1244	79	55	,	,	PUNCT
fis-1244	79	56	thus	thus	ADV
fis-1244	79	57	rendering	render	VERB
fis-1244	79	58	the	the	DET
fis-1244	79	59	main	main	ADJ
fis-1244	79	60	advantages	advantage	NOUN
fis-1244	79	61	of	of	ADP
fis-1244	79	62	geometric	geometric	ADJ
fis-1244	79	63	numerical	numerical	ADJ
fis-1244	79	64	integration	integration	NOUN
fis-1244	79	65	ineffective	ineffective	ADJ
fis-1244	79	66	.	.	PUNCT
fis-1244	80	1	here	here	ADV
fis-1244	80	2	,	,	PUNCT
fis-1244	80	3	we	we	PRON
fis-1244	80	4	report	report	VERB
fis-1244	80	5	two	two	NUM
fis-1244	80	6	references	reference	NOUN
fis-1244	80	7	on	on	ADP
fis-1244	80	8	this	this	DET
fis-1244	80	9	issue	issue	NOUN
fis-1244	80	10	,	,	PUNCT
fis-1244	80	11	namely	namely	ADV
fis-1244	80	12	the	the	DET
fis-1244	80	13	splitting	splitting	NOUN
fis-1244	80	14	method	method	NOUN
fis-1244	80	15	proposed	propose	VERB
fis-1244	80	16	in	in	ADP
fis-1244	80	17	[	[	X
fis-1244	80	18	14	14	NUM
fis-1244	80	19	]	]	PUNCT
fis-1244	80	20	and	and	CCONJ
fis-1244	80	21	the	the	DET
fis-1244	80	22	scaling	scaling	NOUN
fis-1244	80	23	and	and	CCONJ
fis-1244	80	24	squaring	square	VERB
fis-1244	80	25	with	with	ADP
fis-1244	80	26	a	a	DET
fis-1244	80	27	padè	padè	ADJ
fis-1244	80	28	approximation	approximation	NOUN
fis-1244	80	29	method	method	NOUN
fis-1244	80	30	summarized	summarize	VERB
fis-1244	80	31	in	in	ADP
fis-1244	80	32	[	[	X
fis-1244	80	33	13	13	NUM
fis-1244	80	34	]	]	PUNCT
fis-1244	80	35	.	.	PUNCT
fis-1244	81	1	notice	notice	VERB
fis-1244	81	2	that	that	SCONJ
fis-1244	81	3	the	the	DET
fis-1244	81	4	command	command	NOUN
fis-1244	81	5	matrixexp	matrixexp	NOUN
fis-1244	81	6	of	of	ADP
fis-1244	81	7	the	the	DET
fis-1244	81	8	widely	widely	ADV
fis-1244	81	9	used	use	VERB
fis-1244	81	10	software	software	NOUN
fis-1244	81	11	mathematica	mathematica	PROPN
fis-1244	81	12	employs	employ	VERB
fis-1244	81	13	the	the	DET
fis-1244	81	14	padè	padè	ADJ
fis-1244	81	15	approximation	approximation	NOUN
fis-1244	81	16	method	method	NOUN
fis-1244	81	17	for	for	ADP
fis-1244	81	18	the	the	DET
fis-1244	81	19	calculation	calculation	NOUN
fis-1244	81	20	of	of	ADP
fis-1244	81	21	the	the	DET
fis-1244	81	22	exponential	exponential	ADJ
fis-1244	81	23	matrix	matrix	NOUN
fis-1244	81	24	.	.	PUNCT
fis-1244	82	1	we	we	PRON
fis-1244	82	2	conclude	conclude	VERB
fis-1244	82	3	by	by	ADP
fis-1244	82	4	observing	observe	VERB
fis-1244	82	5	that	that	SCONJ
fis-1244	82	6	the	the	DET
fis-1244	82	7	non	non	ADJ
fis-1244	82	8	-	-	ADJ
fis-1244	82	9	trivial	trivial	ADJ
fis-1244	82	10	evaluation	evaluation	NOUN
fis-1244	82	11	of	of	ADP
fis-1244	82	12	the	the	DET
fis-1244	82	13	exponential	exponential	ADJ
fis-1244	82	14	matrix	matrix	NOUN
fis-1244	82	15	may	may	AUX
fis-1244	82	16	be	be	AUX
fis-1244	82	17	circumvented	circumvent	VERB
fis-1244	82	18	when	when	SCONJ
fis-1244	82	19	the	the	DET
fis-1244	82	20	unknown	unknown	ADJ
fis-1244	82	21	matrix	matrix	NOUN
fis-1244	82	22	of	of	ADP
fis-1244	82	23	a	a	DET
fis-1244	82	24	differential	differential	ADJ
fis-1244	82	25	problem	problem	NOUN
fis-1244	82	26	belongs	belong	VERB
fis-1244	82	27	to	to	ADP
fis-1244	82	28	special	special	ADJ
fis-1244	82	29	lie	lie	NOUN
fis-1244	82	30	groups	group	NOUN
fis-1244	82	31	.	.	PUNCT
fis-1244	83	1	one	one	NUM
fis-1244	83	2	of	of	ADP
fis-1244	83	3	these	these	DET
fis-1244	83	4	cases	case	NOUN
fis-1244	83	5	involves	involve	VERB
fis-1244	83	6	a	a	DET
fis-1244	83	7	group	group	NOUN
fis-1244	83	8	commonly	commonly	ADV
fis-1244	83	9	occurring	occur	VERB
fis-1244	83	10	in	in	ADP
fis-1244	83	11	mechanical	mechanical	ADJ
fis-1244	83	12	problems	problem	NOUN
fis-1244	83	13	,	,	PUNCT
fis-1244	83	14	namely	namely	ADV
fis-1244	83	15	the	the	DET
fis-1244	83	16	orthogonal	orthogonal	ADJ
fis-1244	83	17	group	group	NOUN
fis-1244	83	18	,	,	PUNCT
fis-1244	83	19	that	that	PRON
fis-1244	83	20	is	be	AUX
fis-1244	83	21	the	the	DET
fis-1244	83	22	group	group	NOUN
fis-1244	83	23	of	of	ADP
fis-1244	83	24	3x3	3x3	NUM
fis-1244	83	25	matrices	matrix	NOUN
fis-1244	83	26	q	q	NOUN
fis-1244	83	27	such	such	ADJ
fis-1244	83	28	that	that	SCONJ
fis-1244	83	29	t	t	PROPN
fis-1244	83	30	3x3.qq	3x3.qq	NUM
fis-1244	83	31	i	i	PRON
fis-1244	83	32	unlike	unlike	ADP
fis-1244	83	33	many	many	ADJ
fis-1244	83	34	other	other	ADJ
fis-1244	83	35	lie	lie	NOUN
fis-1244	83	36	-	-	PUNCT
fis-1244	83	37	group	group	NOUN
fis-1244	83	38	solvers	solver	NOUN
fis-1244	83	39	,	,	PUNCT
fis-1244	83	40	they	they	PRON
fis-1244	83	41	do	do	AUX
fis-1244	83	42	not	not	PART
fis-1244	83	43	require	require	VERB
fis-1244	83	44	the	the	DET
fis-1244	83	45	evaluation	evaluation	NOUN
fis-1244	83	46	of	of	ADP
fis-1244	83	47	matrix	matrix	NOUN
fis-1244	83	48	exponentials	exponential	NOUN
fis-1244	83	49	because	because	SCONJ
fis-1244	83	50	,	,	PUNCT
fis-1244	83	51	as	as	SCONJ
fis-1244	83	52	outlined	outline	VERB
fis-1244	83	53	in	in	ADP
fis-1244	83	54	[	[	X
fis-1244	83	55	15	15	NUM
fis-1244	83	56	]	]	PUNCT
fis-1244	83	57	,	,	PUNCT
fis-1244	83	58	the	the	DET
fis-1244	83	59	back	back	ADJ
fis-1244	83	60	translation	translation	NOUN
fis-1244	83	61	from	from	ADP
fis-1244	83	62	the	the	DET
fis-1244	83	63	lie	lie	NOUN
fis-1244	83	64	algebra	algebra	NOUN
fis-1244	83	65	to	to	ADP
fis-1244	83	66	the	the	DET
fis-1244	83	67	corresponding	correspond	VERB
fis-1244	83	68	lie	lie	NOUN
fis-1244	83	69	group	group	NOUN
fis-1244	83	70	may	may	AUX
fis-1244	83	71	be	be	AUX
fis-1244	83	72	obtained	obtain	VERB
fis-1244	83	73	by	by	ADP
fis-1244	83	74	using	use	VERB
fis-1244	83	75	the	the	DET
fis-1244	83	76	cayley	cayley	ADJ
fis-1244	83	77	transform	transform	NOUN
fis-1244	83	78	.	.	PUNCT
fis-1244	84	1	an	an	DET
fis-1244	84	2	application	application	NOUN
fis-1244	84	3	of	of	ADP
fis-1244	84	4	the	the	DET
fis-1244	84	5	magnus	magnus	PROPN
fis-1244	84	6	method	method	NOUN
fis-1244	84	7	in	in	ADP
fis-1244	84	8	solid	solid	ADJ
fis-1244	84	9	mechanics	mechanic	NOUN
fis-1244	84	10	:	:	PUNCT
fis-1244	84	11	periodic	periodic	ADJ
fis-1244	84	12	twist	twist	NOUN
fis-1244	84	13	-	-	PUNCT
fis-1244	84	14	like	like	ADJ
fis-1244	84	15	deformations	deformation	NOUN
fis-1244	84	16	bifurcating	bifurcate	VERB
fis-1244	84	17	from	from	ADP
fis-1244	84	18	the	the	DET
fis-1244	84	19	azimuthal	azimuthal	ADJ
fis-1244	84	20	shear	shear	NOUN
fis-1244	84	21	of	of	ADP
fis-1244	84	22	a	a	DET
fis-1244	84	23	circular	circular	ADJ
fis-1244	84	24	tube	tube	NOUN
fis-1244	84	25	n	n	CCONJ
fis-1244	84	26	the	the	DET
fis-1244	84	27	present	present	ADJ
fis-1244	84	28	section	section	NOUN
fis-1244	84	29	,	,	PUNCT
fis-1244	84	30	we	we	PRON
fis-1244	84	31	introduce	introduce	VERB
fis-1244	84	32	a	a	DET
fis-1244	84	33	bifurcation	bifurcation	NOUN
fis-1244	84	34	problem	problem	NOUN
fis-1244	84	35	set	set	VERB
fis-1244	84	36	within	within	ADP
fis-1244	84	37	the	the	DET
fis-1244	84	38	context	context	NOUN
fis-1244	84	39	of	of	ADP
fis-1244	84	40	the	the	DET
fis-1244	84	41	nonlinear	nonlinear	ADJ
fis-1244	84	42	theory	theory	NOUN
fis-1244	84	43	of	of	ADP
fis-1244	84	44	elastic	elastic	ADJ
fis-1244	84	45	solids	solid	NOUN
fis-1244	84	46	.	.	PUNCT
fis-1244	85	1	in	in	ADP
fis-1244	85	2	particular	particular	ADJ
fis-1244	85	3	,	,	PUNCT
fis-1244	85	4	the	the	DET
fis-1244	85	5	last	last	ADJ
fis-1244	85	6	part	part	NOUN
fis-1244	85	7	of	of	ADP
fis-1244	85	8	the	the	DET
fis-1244	85	9	following	follow	VERB
fis-1244	85	10	analysis	analysis	NOUN
fis-1244	85	11	contains	contain	VERB
fis-1244	85	12	an	an	DET
fis-1244	85	13	explicit	explicit	ADJ
fis-1244	85	14	application	application	NOUN
fis-1244	85	15	of	of	ADP
fis-1244	85	16	the	the	DET
fis-1244	85	17	magnus	magnus	PROPN
fis-1244	85	18	method	method	NOUN
fis-1244	85	19	based	base	VERB
fis-1244	85	20	on	on	ADP
fis-1244	85	21	the	the	DET
fis-1244	85	22	procedure	procedure	NOUN
fis-1244	85	23	outlined	outline	VERB
fis-1244	85	24	in	in	ADP
fis-1244	85	25	the	the	DET
fis-1244	85	26	previous	previous	ADJ
fis-1244	85	27	section	section	NOUN
fis-1244	85	28	.	.	PUNCT
fis-1244	86	1	the	the	DET
fis-1244	86	2	fundamental	fundamental	ADJ
fis-1244	86	3	azimuthal	azimuthal	NOUN
fis-1244	86	4	shear	shear	NOUN
fis-1244	86	5	equilibrium	equilibrium	NOUN
fis-1244	86	6	deformation	deformation	NOUN
fis-1244	86	7	we	we	PRON
fis-1244	86	8	consider	consider	VERB
fis-1244	86	9	a	a	DET
fis-1244	86	10	homogeneous	homogeneous	ADJ
fis-1244	86	11	,	,	PUNCT
fis-1244	86	12	isotropic	isotropic	NOUN
fis-1244	86	13	,	,	PUNCT
fis-1244	86	14	compressible	compressible	ADJ
fis-1244	86	15	,	,	PUNCT
fis-1244	86	16	elastic	elastic	ADJ
fis-1244	86	17	tube	tube	NOUN
fis-1244	86	18	which	which	PRON
fis-1244	86	19	occupies	occupy	VERB
fis-1244	86	20	the	the	DET
fis-1244	86	21	region	region	NOUN
fis-1244	86	22			NOUN
fis-1244	86	23			NOUN
fis-1244	86	24	1	1	X
fis-1244	86	25	2r	2r	NUM
fis-1244	86	26	,	,	PUNCT
fis-1244	86	27	,	,	PUNCT
fis-1244	86	28	z	z	NOUN
fis-1244	86	29	0	0	PUNCT
fis-1244	86	30	<	<	X
fis-1244	86	31	r	r	NOUN
fis-1244	86	32	r	r	NOUN
fis-1244	86	33	r	r	NOUN
fis-1244	86	34	,	,	PUNCT
fis-1244	86	35	0	0	NUM
fis-1244	86	36	2	2	NUM
fis-1244	86	37	,	,	PUNCT
fis-1244	86	38	0	0	NUM
fis-1244	86	39	z	z	NOUN
fis-1244	86	40	h	h	NOUN
fis-1244	87	1			NUM
fis-1244	87	2			PROPN
fis-1244	87	3			PROPN
fis-1244	87	4			PROPN
fis-1244	87	5			PROPN
fis-1244	87	6			PROPN
fis-1244	87	7			PROPN
fis-1244	87	8			PROPN
fis-1244	87	9			NOUN
fis-1244	87	10	(	(	PUNCT
fis-1244	87	11	10	10	NUM
fis-1244	87	12	)	)	PUNCT
fis-1244	87	13	in	in	ADP
fis-1244	87	14	its	its	PRON
fis-1244	87	15	natural	natural	ADJ
fis-1244	87	16	reference	reference	NOUN
fis-1244	87	17	configuration	configuration	NOUN
fis-1244	87	18	.	.	PUNCT
fis-1244	88	1			NOUN
fis-1244	88	2	r	r	NOUN
fis-1244	88	3	,	,	PUNCT
fis-1244	88	4	,	,	PUNCT
fis-1244	88	5	z	z	X
fis-1244	88	6	denote	denote	VERB
fis-1244	88	7	the	the	DET
fis-1244	88	8	cylindrical	cylindrical	ADJ
fis-1244	88	9	coordinate	coordinate	NOUN
fis-1244	88	10	of	of	ADP
fis-1244	88	11	a	a	DET
fis-1244	88	12	point	point	NOUN
fis-1244	88	13	x	x	X
fis-1244	88	14	in	in	ADP
fis-1244	88	15	a	a	DET
fis-1244	88	16	cylindrical	cylindrical	ADJ
fis-1244	88	17	coordinate	coordinate	NOUN
fis-1244	88	18	system	system	NOUN
fis-1244	88	19	with	with	ADP
fis-1244	88	20	orthonormal	orthonormal	ADJ
fis-1244	88	21	basis	basis	NOUN
fis-1244	88	22			PROPN
fis-1244	88	23	r	r	PROPN
fis-1244	88	24	z	z	NOUN
fis-1244	88	25	,	,	PUNCT
fis-1244	88	26	,	,	PUNCT
fis-1244	88	27	e	e	X
fis-1244	88	28	e	e	X
fis-1244	88	29	e	e	X
fis-1244	88	30	.	.	PUNCT
fis-1244	89	1	the	the	DET
fis-1244	89	2	boundary	boundary	NOUN
fis-1244	89	3	of	of	ADP
fis-1244	89	4			NOUN
fis-1244	89	5	is	be	AUX
fis-1244	89	6	divided	divide	VERB
fis-1244	89	7	into	into	ADP
fis-1244	89	8	two	two	NUM
fis-1244	89	9	disjoint	disjoint	ADJ
fis-1244	89	10	complementary	complementary	ADJ
fis-1244	89	11	parts	part	NOUN
fis-1244	89	12	:	:	PUNCT
fis-1244	89	13			PROPN
fis-1244	89	14			ADJ
fis-1244	89	15			PROPN
fis-1244	89	16			PROPN
fis-1244	89	17			NOUN
fis-1244	89	18			PROPN
fis-1244	89	19	,	,	PUNCT
fis-1244	89	20	1	1	NUM
fis-1244	89	21	1	1	NUM
fis-1244	89	22	2	2	NUM
fis-1244	89	23	2r	2r	NUM
fis-1244	89	24	,	,	PUNCT
fis-1244	89	25	,	,	PUNCT
fis-1244	89	26	z	z	NOUN
fis-1244	89	27	r	r	NOUN
fis-1244	89	28	=	=	SYM
fis-1244	89	29	r	r	NOUN
fis-1244	89	30	or	or	CCONJ
fis-1244	89	31	r	r	NOUN
fis-1244	89	32	=	=	SYM
fis-1244	89	33	r	r	NOUN
fis-1244	89	34	r	r	NOUN
fis-1244	89	35	,	,	PUNCT
fis-1244	89	36	,	,	PUNCT
fis-1244	89	37	z	z	NOUN
fis-1244	89	38	z	z	NOUN
fis-1244	90	1	=	=	SYM
fis-1244	90	2	0	0	NUM
fis-1244	90	3	or	or	CCONJ
fis-1244	90	4	z	z	NOUN
fis-1244	90	5	=	=	SYM
fis-1244	90	6	h	h	PROPN
fis-1244	90	7			PROPN
fis-1244	90	8			PROPN
fis-1244	90	9			NOUN
fis-1244	90	10			ADJ
fis-1244	90	11			PROPN
fis-1244	90	12			PROPN
fis-1244	90	13			ADJ
fis-1244	90	14			NUM
fis-1244	90	15			NUM
fis-1244	90	16			ADP
fis-1244	90	17	(	(	PUNCT
fis-1244	90	18	11	11	NUM
fis-1244	90	19	)	)	PUNCT
fis-1244	90	20	i	i	NOUN
fis-1244	90	21	a.	a.	NOUN
fis-1244	90	22	castellano	castellano	PROPN
fis-1244	90	23	et	et	PROPN
fis-1244	90	24	alii	alii	PROPN
fis-1244	90	25	,	,	PUNCT
fis-1244	90	26	frattura	frattura	PROPN
fis-1244	90	27	ed	ed	PROPN
fis-1244	90	28	integrità	integrità	PROPN
fis-1244	90	29	strutturale	strutturale	PROPN
fis-1244	90	30	,	,	PUNCT
fis-1244	90	31	29	29	NUM
fis-1244	90	32	(	(	PUNCT
fis-1244	90	33	2014	2014	NUM
fis-1244	90	34	)	)	PUNCT
fis-1244	90	35	128	128	NUM
fis-1244	90	36	-	-	SYM
fis-1244	90	37	138	138	NUM
fis-1244	90	38	;	;	PUNCT
fis-1244	90	39	doi	doi	NOUN
fis-1244	90	40	:	:	PUNCT
fis-1244	90	41	10.3221	10.3221	NUM
fis-1244	90	42	/	/	SYM
fis-1244	90	43	igf	igf	PROPN
fis-1244	90	44	-	-	PUNCT
fis-1244	90	45	esis.29.12	esis.29.12	PROPN
fis-1244	90	46	132	132	NUM
fis-1244	90	47	a	a	DET
fis-1244	90	48	deformation	deformation	NOUN
fis-1244	90	49			NOUN
fis-1244	91	1			SYM
fis-1244	91	2			NOUN
fis-1244	91	3			SYM
fis-1244	91	4			NOUN
fis-1244	91	5			PUNCT
fis-1244	91	6			NOUN
fis-1244	91	7			PROPN
fis-1244	91	8	:	:	PUNCT
fis-1244	91	9	=	=	SYM
fis-1244	91	10	r	r	NOUN
fis-1244	91	11	,	,	PUNCT
fis-1244	91	12	,	,	PUNCT
fis-1244	91	13	z	z	NOUN
fis-1244	91	14	r	r	NOUN
fis-1244	91	15	,	,	PUNCT
fis-1244	91	16	,	,	PUNCT
fis-1244	91	17	z	z	PROPN
fis-1244	91	18			NOUN
fis-1244	91	19			VERB
fis-1244	91	20			SYM
fis-1244	91	21	f	f	NOUN
fis-1244	91	22	x	x	X
fis-1244	91	23	x	x	PUNCT
fis-1244	91	24	f	f	X
fis-1244	91	25	x	x	PUNCT
fis-1244	91	26	f	f	NOUN
fis-1244	91	27			NOUN
fis-1244	91	28	of	of	ADP
fis-1244	91	29			NOUN
fis-1244	91	30	is	be	AUX
fis-1244	91	31	assumed	assume	VERB
fis-1244	91	32	to	to	PART
fis-1244	91	33	be	be	AUX
fis-1244	91	34	a	a	DET
fis-1244	91	35	smooth	smooth	ADJ
fis-1244	91	36	function	function	NOUN
fis-1244	91	37	with	with	ADP
fis-1244	91	38	gradient	gradient	ADJ
fis-1244	91	39			NOUN
fis-1244	92	1			PROPN
fis-1244	92	2			PROPN
fis-1244	92	3	:	:	VERB
fis-1244	92	4	f	f	PROPN
fis-1244	92	5	x	x	X
fis-1244	92	6	f	f	PROPN
fis-1244	92	7	x	x	X
fis-1244	92	8	.	.	PUNCT
fis-1244	93	1	since	since	SCONJ
fis-1244	93	2	the	the	DET
fis-1244	93	3	tube	tube	NOUN
fis-1244	93	4	is	be	AUX
fis-1244	93	5	elastic	elastic	ADJ
fis-1244	93	6	and	and	CCONJ
fis-1244	93	7	isotropic	isotropic	NOUN
fis-1244	93	8	,	,	PUNCT
fis-1244	93	9	the	the	DET
fis-1244	93	10	general	general	ADJ
fis-1244	93	11	form	form	NOUN
fis-1244	93	12	of	of	ADP
fis-1244	93	13	the	the	DET
fis-1244	93	14	strain	strain	ADJ
fis-1244	93	15	energy	energy	NOUN
fis-1244	93	16	function	function	NOUN
fis-1244	93	17	is	be	AUX
fis-1244	93	18	given	give	VERB
fis-1244	93	19	by	by	ADP
fis-1244	93	20			NOUN
fis-1244	93	21			PROPN
fis-1244	93	22			NOUN
fis-1244	94	1	w	w	X
fis-1244	94	2	w	w	NOUN
fis-1244	95	1	i	i	PROPN
fis-1244	95	2	,	,	PUNCT
fis-1244	95	3	ii	ii	PROPN
fis-1244	95	4	,	,	PUNCT
fis-1244	95	5	iiif	iiif	PROPN
fis-1244	95	6	b	b	PROPN
fis-1244	95	7	b	b	X
fis-1244	95	8	b	b	PROPN
fis-1244	95	9	,	,	PUNCT
fis-1244	95	10	where	where	SCONJ
fis-1244	95	11			PROPN
fis-1244	95	12			PROPN
fis-1244	96	1			PROPN
fis-1244	96	2			NOUN
fis-1244	96	3			SYM
fis-1244	96	4			NOUN
fis-1244	96	5			PUNCT
fis-1244	96	6			NOUN
fis-1244	96	7			NOUN
fis-1244	96	8	22	22	NUM
fis-1244	96	9	2	2	NUM
fis-1244	96	10	22	22	NUM
fis-1244	96	11	t1	t1	NOUN
fis-1244	96	12	1	1	NUM
fis-1244	97	1	i	i	PRON
fis-1244	97	2	tr	tr	PROPN
fis-1244	97	3	,	,	PUNCT
fis-1244	97	4	ii	ii	PROPN
fis-1244	97	5	tr	tr	VERB
fis-1244	97	6	tr	tr	VERB
fis-1244	97	7	tr	tr	VERB
fis-1244	97	8	,	,	PUNCT
fis-1244	97	9	iii	iii	NUM
fis-1244	97	10	det	det	PROPN
fis-1244	97	11	det	det	PROPN
fis-1244	97	12	2	2	NUM
fis-1244	97	13	2	2	NUM
fis-1244	97	14			NUM
fis-1244	97	15			ADJ
fis-1244	97	16			ADJ
fis-1244	97	17			NOUN
fis-1244	97	18			ADJ
fis-1244	97	19			PROPN
fis-1244	97	20			NOUN
fis-1244	97	21			NUM
fis-1244	97	22			NUM
fis-1244	97	23			PROPN
fis-1244	97	24			PROPN
fis-1244	97	25			PROPN
fis-1244	98	1			PROPN
fis-1244	98	2			PROPN
fis-1244	98	3	b	b	X
fis-1244	98	4	f	f	NOUN
fis-1244	98	5	f	f	PROPN
fis-1244	98	6	b	b	PROPN
fis-1244	98	7	b	b	PROPN
fis-1244	98	8	f	f	X
fis-1244	98	9	f	f	PROPN
fis-1244	98	10	ff	ff	PROPN
fis-1244	98	11	b	b	PROPN
fis-1244	98	12	fb	fb	INTJ
fis-1244	98	13	b	b	PROPN
fis-1244	98	14	b	b	PROPN
fis-1244	98	15	(	(	PUNCT
fis-1244	98	16	12	12	NUM
fis-1244	98	17	)	)	PUNCT
fis-1244	98	18	are	be	AUX
fis-1244	98	19	the	the	DET
fis-1244	98	20	orthogonal	orthogonal	ADJ
fis-1244	98	21	principal	principal	NOUN
fis-1244	98	22	invariants	invariant	NOUN
fis-1244	98	23	of	of	ADP
fis-1244	98	24	t	t	PROPN
fis-1244	98	25	:	:	PUNCT
fis-1244	98	26	b	b	PROPN
fis-1244	98	27	f	f	PROPN
fis-1244	98	28	f	f	PROPN
fis-1244	98	29	;	;	PUNCT
fis-1244	98	30	thus	thus	ADV
fis-1244	98	31	,	,	PUNCT
fis-1244	98	32	the	the	DET
fis-1244	98	33	piola	piola	PROPN
fis-1244	98	34	stress	stress	NOUN
fis-1244	98	35	takes	take	VERB
fis-1244	98	36	the	the	DET
fis-1244	98	37	form	form	NOUN
fis-1244	98	38			NOUN
fis-1244	98	39			SYM
fis-1244	98	40			NOUN
fis-1244	98	41			PROPN
fis-1244	98	42			PROPN
fis-1244	98	43			PROPN
fis-1244	98	44	t	t	PROPN
fis-1244	98	45	1	1	NUM
fis-1244	98	46	2	2	NUM
fis-1244	98	47	3	3	NUM
fis-1244	98	48	dw	dw	PROPN
fis-1244	98	49	w	w	PROPN
fis-1244	98	50	w	w	PROPN
fis-1244	99	1	i	i	PROPN
fis-1244	99	2	w	w	PROPN
fis-1244	99	3	iii	iii	NUM
fis-1244	99	4	2	2	NUM
fis-1244	99	5	2	2	NUM
fis-1244	99	6	2	2	NUM
fis-1244	99	7			NOUN
fis-1244	99	8			NUM
fis-1244	99	9			ADV
fis-1244	99	10			PROPN
fis-1244	99	11	s	s	PROPN
fis-1244	99	12	f	f	X
fis-1244	99	13	f	f	PROPN
fis-1244	99	14	f	f	PROPN
fis-1244	99	15	f	f	PROPN
fis-1244	99	16	bf	bf	INTJ
fis-1244	100	1	fb	fb	INTJ
fis-1244	100	2	b	b	PROPN
fis-1244	100	3	(	(	PUNCT
fis-1244	100	4	13	13	NUM
fis-1244	100	5	)	)	PUNCT
fis-1244	100	6	with	with	ADP
fis-1244	100	7	1	1	NUM
fis-1244	100	8	2	2	NUM
fis-1244	100	9	3	3	NUM
fis-1244	100	10	w	w	PROPN
fis-1244	100	11	w	w	PROPN
fis-1244	100	12	w	w	PROPN
fis-1244	100	13	w	w	PROPN
fis-1244	100	14	:	:	PUNCT
fis-1244	100	15	,	,	PUNCT
fis-1244	100	16	w	w	X
fis-1244	100	17	:	:	PUNCT
fis-1244	100	18	,	,	PUNCT
fis-1244	100	19	w	w	X
fis-1244	100	20	:	:	PUNCT
fis-1244	100	21	i	i	PROPN
fis-1244	100	22	ii	ii	VERB
fis-1244	101	1	iii	iii	NUM
fis-1244	101	2			ADJ
fis-1244	101	3			ADJ
fis-1244	101	4			PROPN
fis-1244	101	5			PROPN
fis-1244	101	6			NUM
fis-1244	101	7			PROPN
fis-1244	101	8			ADJ
fis-1244	101	9			PROPN
fis-1244	101	10	b	b	PROPN
fis-1244	101	11	b	b	PROPN
fis-1244	101	12	b	b	X
fis-1244	101	13	(	(	PUNCT
fis-1244	101	14	14	14	NUM
fis-1244	101	15	)	)	PUNCT
fis-1244	101	16	we	we	PRON
fis-1244	101	17	assume	assume	VERB
fis-1244	101	18	that	that	SCONJ
fis-1244	101	19	the	the	DET
fis-1244	101	20	inner	inner	ADJ
fis-1244	101	21	cylinder	cylinder	NOUN
fis-1244	101	22	is	be	AUX
fis-1244	101	23	kept	keep	VERB
fis-1244	101	24	fixed	fix	VERB
fis-1244	101	25	,	,	PUNCT
fis-1244	101	26	whereas	whereas	SCONJ
fis-1244	101	27	the	the	DET
fis-1244	101	28	outer	outer	NOUN
fis-1244	101	29	is	be	AUX
fis-1244	101	30	subject	subject	ADJ
fis-1244	101	31	to	to	ADP
fis-1244	101	32	a	a	DET
fis-1244	101	33	uniform	uniform	ADJ
fis-1244	101	34	angular	angular	ADJ
fis-1244	101	35	displacement	displacement	NOUN
fis-1244	101	36	0	0	NUM
fis-1244	102	1			X
fis-1244	102	2	around	around	ADP
fis-1244	102	3	its	its	PRON
fis-1244	102	4	axis	axis	NOUN
fis-1244	102	5	.	.	PUNCT
fis-1244	103	1	on	on	ADP
fis-1244	103	2	the	the	DET
fis-1244	103	3	bases	basis	NOUN
fis-1244	103	4	of	of	ADP
fis-1244	103	5			NOUN
fis-1244	103	6	only	only	ADJ
fis-1244	103	7	tangential	tangential	ADJ
fis-1244	103	8	displacements	displacement	NOUN
fis-1244	103	9	are	be	AUX
fis-1244	103	10	admitted	admit	VERB
fis-1244	103	11	.	.	PUNCT
fis-1244	104	1	this	this	PRON
fis-1244	104	2	leads	lead	VERB
fis-1244	104	3	to	to	ADP
fis-1244	104	4	the	the	DET
fis-1244	104	5	following	follow	VERB
fis-1244	104	6	mixed	mixed	ADJ
fis-1244	104	7	boundary	boundary	ADJ
fis-1244	104	8	-	-	PUNCT
fis-1244	104	9	value	value	NOUN
fis-1244	104	10	problem	problem	NOUN
fis-1244	104	11	:	:	PUNCT
fis-1244	104	12			NOUN
fis-1244	104	13	div	div	PUNCT
fis-1244	105	1	=	=	NOUN
fis-1244	106	1	in	in	ADP
fis-1244	106	2	s	s	PROPN
fis-1244	106	3	0f	0f	NOUN
fis-1244	106	4			SYM
fis-1244	106	5	(	(	PUNCT
fis-1244	106	6	15	15	NUM
fis-1244	106	7	)	)	PUNCT
fis-1244	106	8			NOUN
fis-1244	106	9			NOUN
fis-1244	107	1			PUNCT
fis-1244	107	2			NOUN
fis-1244	107	3			PUNCT
fis-1244	107	4			NOUN
fis-1244	107	5			NOUN
fis-1244	108	1			PUNCT
fis-1244	108	2			PROPN
fis-1244	108	3			NOUN
fis-1244	109	1			PROPN
fis-1244	109	2	1	1	NUM
fis-1244	109	3	r	r	NOUN
fis-1244	109	4	2	2	NUM
fis-1244	109	5	2	2	NUM
fis-1244	109	6	1	1	NUM
fis-1244	109	7	z	z	NOUN
fis-1244	109	8	1	1	NUM
fis-1244	109	9	2	2	NUM
fis-1244	109	10	2	2	NUM
fis-1244	109	11	1	1	NUM
fis-1244	109	12	2	2	NUM
fis-1244	109	13	,	,	PUNCT
fis-1244	109	14	0	0	NUM
fis-1244	110	1	at	at	ADP
fis-1244	110	2	r	r	NOUN
fis-1244	110	3	=	=	SYM
fis-1244	110	4	r	r	NOUN
fis-1244	110	5	=	=	SYM
fis-1244	110	6	r	r	NOUN
fis-1244	110	7	cos	cos	NOUN
fis-1244	110	8	1	1	NUM
fis-1244	110	9	at	at	ADP
fis-1244	110	10	r	r	NOUN
fis-1244	110	11	=	=	SYM
fis-1244	110	12	r	r	NOUN
fis-1244	110	13	0	0	NUM
fis-1244	110	14	at	at	ADP
fis-1244	110	15	r	r	NOUN
fis-1244	110	16	=	=	SYM
fis-1244	110	17	r	r	NOUN
fis-1244	110	18	=	=	NOUN
fis-1244	110	19	on	on	ADP
fis-1244	110	20	r	r	NOUN
fis-1244	110	21	sin	sin	NOUN
fis-1244	110	22	at	at	ADP
fis-1244	110	23	r	r	NOUN
fis-1244	110	24	=	=	SYM
fis-1244	110	25	r	r	NOUN
fis-1244	110	26	=	=	NOUN
fis-1244	110	27	0	0	NUM
fis-1244	110	28	at	at	ADP
fis-1244	110	29	r	r	NOUN
fis-1244	110	30	=	=	SYM
fis-1244	110	31	r	r	NOUN
fis-1244	110	32	r	r	NOUN
fis-1244	110	33			PROPN
fis-1244	110	34			PROPN
fis-1244	110	35			PROPN
fis-1244	110	36			NUM
fis-1244	110	37			ADJ
fis-1244	110	38			PROPN
fis-1244	110	39			PROPN
fis-1244	110	40			PROPN
fis-1244	110	41			NOUN
fis-1244	110	42			PRON
fis-1244	110	43			VERB
fis-1244	110	44			VERB
fis-1244	110	45			ADJ
fis-1244	110	46	f	f	X
fis-1244	110	47	x	x	PUNCT
fis-1244	110	48	x	x	PUNCT
fis-1244	110	49	e	e	X
fis-1244	110	50	f	f	NOUN
fis-1244	110	51	x	x	X
fis-1244	110	52	x	x	X
fis-1244	110	53	e	e	NOUN
fis-1244	110	54	f	f	NOUN
fis-1244	110	55	x	x	SYM
fis-1244	110	56	x	x	X
fis-1244	110	57	e	e	X
fis-1244	110	58			PROPN
fis-1244	110	59	(	(	PUNCT
fis-1244	110	60	16	16	NUM
fis-1244	110	61	)	)	PUNCT
fis-1244	110	62			NOUN
fis-1244	110	63			NOUN
fis-1244	111	1			PUNCT
fis-1244	111	2			PROPN
fis-1244	111	3			NOUN
fis-1244	112	1			PROPN
fis-1244	112	2	2	2	NUM
fis-1244	112	3	=	=	SYM
fis-1244	112	4	0	0	NUM
fis-1244	112	5	,	,	PUNCT
fis-1244	112	6	=	=	PUNCT
fis-1244	112	7	on	on	ADP
fis-1244	112	8			ADJ
fis-1244	112	9			X
fis-1244	112	10			SYM
fis-1244	112	11			PROPN
fis-1244	112	12			NOUN
fis-1244	112	13	f	f	NUM
fis-1244	112	14	x	x	PUNCT
fis-1244	112	15	x	x	PUNCT
fis-1244	112	16	e	e	NOUN
fis-1244	112	17	s	s	X
fis-1244	112	18	e	e	X
fis-1244	112	19	e	e	NOUN
fis-1244	112	20	0f	0f	X
fis-1244	112	21			SYM
fis-1244	112	22	(	(	PUNCT
fis-1244	112	23	17	17	NUM
fis-1244	112	24	)	)	PUNCT
fis-1244	112	25	for	for	ADP
fis-1244	112	26	the	the	DET
fis-1244	112	27	equilibrium	equilibrium	NOUN
fis-1244	112	28	problem	problem	NOUN
fis-1244	112	29	(	(	PUNCT
fis-1244	112	30	15)-(17	15)-(17	NUM
fis-1244	112	31	)	)	PUNCT
fis-1244	112	32	,	,	PUNCT
fis-1244	112	33	we	we	PRON
fis-1244	112	34	consider	consider	VERB
fis-1244	112	35	the	the	DET
fis-1244	112	36	possibility	possibility	NOUN
fis-1244	112	37	of	of	ADP
fis-1244	112	38	an	an	DET
fis-1244	112	39	azimuthal	azimuthal	ADJ
fis-1244	112	40	shear	shear	NOUN
fis-1244	112	41	deformation	deformation	NOUN
fis-1244	112	42	f	f	NOUN
fis-1244	112	43	defined	define	VERB
fis-1244	112	44	by	by	ADP
fis-1244	112	45			NOUN
fis-1244	112	46	r	r	X
fis-1244	112	47	r	r	NOUN
fis-1244	112	48	,	,	PUNCT
fis-1244	112	49	r	r	NOUN
fis-1244	112	50	,	,	PUNCT
fis-1244	112	51	z	z	NOUN
fis-1244	112	52	z	z	NOUN
fis-1244	112	53			X
fis-1244	113	1			PROPN
fis-1244	113	2			PROPN
fis-1244	113	3			ADV
fis-1244	113	4			PROPN
fis-1244	113	5			PROPN
fis-1244	113	6	(	(	PUNCT
fis-1244	113	7	18	18	NUM
fis-1244	113	8	)	)	PUNCT
fis-1244	113	9	where	where	SCONJ
fis-1244	113	10			X
fis-1244	113	11	,	,	PUNCT
fis-1244	113	12	the	the	DET
fis-1244	113	13	angular	angular	ADJ
fis-1244	113	14	displacement	displacement	ADJ
fis-1244	113	15	field	field	NOUN
fis-1244	113	16	,	,	PUNCT
fis-1244	113	17	is	be	AUX
fis-1244	113	18	assumed	assume	VERB
fis-1244	113	19	to	to	PART
fis-1244	113	20	be	be	AUX
fis-1244	113	21	a	a	DET
fis-1244	113	22	smooth	smooth	ADJ
fis-1244	113	23	function	function	NOUN
fis-1244	113	24	satisfying	satisfy	VERB
fis-1244	113	25			NOUN
fis-1244	114	1			SYM
fis-1244	114	2			NOUN
fis-1244	114	3	1	1	NOUN
fis-1244	115	1	2r	2r	NUM
fis-1244	115	2	0	0	NUM
fis-1244	115	3	,	,	PUNCT
fis-1244	115	4	r	r	NOUN
fis-1244	115	5	0	0	NUM
fis-1244	115	6			NUM
fis-1244	115	7			PROPN
fis-1244	115	8			PROPN
fis-1244	115	9			ADJ
fis-1244	115	10			PROPN
fis-1244	115	11	1on	1on	ADJ
fis-1244	115	12			PROPN
fis-1244	115	13			ADP
fis-1244	115	14	(	(	PUNCT
fis-1244	115	15	19	19	NUM
fis-1244	115	16	)	)	PUNCT
fis-1244	115	17	consequently	consequently	ADV
fis-1244	115	18	,	,	PUNCT
fis-1244	115	19	in	in	ADP
fis-1244	115	20	view	view	NOUN
fis-1244	115	21	of	of	ADP
fis-1244	115	22	(	(	PUNCT
fis-1244	115	23	18	18	NUM
fis-1244	115	24	)	)	PUNCT
fis-1244	115	25	we	we	PRON
fis-1244	115	26	have	have	VERB
fis-1244	115	27			NOUN
fis-1244	115	28			PUNCT
fis-1244	115	29			NOUN
fis-1244	116	1			NOUN
fis-1244	116	2	2	2	NUM
fis-1244	116	3	2	2	NUM
fis-1244	116	4	r	r	NOUN
fis-1244	116	5	r	r	NOUN
fis-1244	116	6	rr	rr	NOUN
fis-1244	116	7	r	r	NOUN
fis-1244	116	8	,	,	PUNCT
fis-1244	116	9	r	r	NOUN
fis-1244	116	10	r	r	NOUN
fis-1244	116	11			X
fis-1244	116	12			X
fis-1244	116	13			PROPN
fis-1244	116	14			PROPN
fis-1244	116	15			PROPN
fis-1244	117	1			ADJ
fis-1244	117	2			PROPN
fis-1244	117	3			PUNCT
fis-1244	117	4			PROPN
fis-1244	117	5			ADP
fis-1244	117	6			PROPN
fis-1244	117	7			ADV
fis-1244	117	8			PROPN
fis-1244	117	9			ADP
fis-1244	117	10			PROPN
fis-1244	117	11			PROPN
fis-1244	117	12			PUNCT
fis-1244	117	13			X
fis-1244	117	14	i	i	X
fis-1244	117	15	e	e	ADJ
fis-1244	117	16	i	i	PROPN
fis-1244	117	17	f	f	X
fis-1244	118	1	e	e	PROPN
fis-1244	118	2	b	b	X
fis-1244	118	3	e	e	X
fis-1244	118	4	e	e	X
fis-1244	118	5	e	e	X
fis-1244	118	6	e	e	X
fis-1244	118	7	e	e	X
fis-1244	118	8	e	e	X
fis-1244	118	9	(	(	PUNCT
fis-1244	118	10	20	20	NUM
fis-1244	118	11	)	)	PUNCT
fis-1244	118	12	where	where	SCONJ
fis-1244	118	13	the	the	DET
fis-1244	118	14	prime	prime	ADJ
fis-1244	118	15	denotes	denote	NOUN
fis-1244	118	16	differentiation	differentiation	NOUN
fis-1244	118	17	with	with	ADP
fis-1244	118	18	respect	respect	NOUN
fis-1244	118	19	to	to	ADP
fis-1244	118	20	r	r	NOUN
fis-1244	118	21	and	and	CCONJ
fis-1244	118	22			PROPN
fis-1244	118	23	r	r	PROPN
fis-1244	118	24	z	z	NOUN
fis-1244	118	25	,	,	PUNCT
fis-1244	118	26	,	,	PUNCT
fis-1244	118	27	e	e	PROPN
fis-1244	118	28	ee	ee	PROPN
fis-1244	118	29	is	be	AUX
fis-1244	118	30	the	the	DET
fis-1244	118	31	deformed	deform	VERB
fis-1244	118	32	cylindrical	cylindrical	ADJ
fis-1244	118	33	orthonormal	orthonormal	ADJ
fis-1244	118	34	basis	basis	NOUN
fis-1244	118	35	at	at	ADP
fis-1244	118	36			NOUN
fis-1244	118	37	r	r	NOUN
fis-1244	118	38	,	,	PUNCT
fis-1244	118	39	,	,	PUNCT
fis-1244	118	40	z	z	PROPN
fis-1244	118	41	.	.	PUNCT
fis-1244	119	1	notice	notice	VERB
fis-1244	119	2	that	that	SCONJ
fis-1244	119	3	the	the	DET
fis-1244	119	4	azimuthal	azimuthal	ADJ
fis-1244	119	5	shear	shear	NOUN
fis-1244	119	6	is	be	AUX
fis-1244	119	7	an	an	DET
fis-1244	119	8	isochoric	isochoric	ADJ
fis-1244	119	9	deformation	deformation	NOUN
fis-1244	119	10	whose	whose	DET
fis-1244	119	11	principal	principal	ADJ
fis-1244	119	12	invariants	invariant	NOUN
fis-1244	119	13	(	(	PUNCT
fis-1244	119	14	12	12	NUM
fis-1244	119	15	)	)	PUNCT
fis-1244	119	16	are	be	AUX
fis-1244	119	17	given	give	VERB
fis-1244	119	18	by	by	ADP
fis-1244	119	19	2	2	NUM
fis-1244	119	20	2	2	NUM
fis-1244	119	21	,	,	PUNCT
fis-1244	119	22	i	i	PRON
fis-1244	119	23	ii	ii	VERB
fis-1244	119	24	3	3	NUM
fis-1244	119	25	r	r	NOUN
fis-1244	119	26	ii	ii	NOUN
fis-1244	119	27	1i	1i	NUM
fis-1244	119	28			PROPN
fis-1244	119	29			PUNCT
fis-1244	119	30			PRON
fis-1244	119	31			NOUN
fis-1244	119	32	b	b	PUNCT
fis-1244	120	1	b	b	X
fis-1244	120	2	b	b	X
fis-1244	120	3	(	(	PUNCT
fis-1244	120	4	21	21	NUM
fis-1244	120	5	)	)	PUNCT
fis-1244	120	6	moreover	moreover	ADV
fis-1244	120	7	,	,	PUNCT
fis-1244	120	8	(	(	PUNCT
fis-1244	120	9	18	18	NUM
fis-1244	120	10	)	)	PUNCT
fis-1244	120	11	trivially	trivially	ADV
fis-1244	120	12	satisfies	satisfy	VERB
fis-1244	120	13	the	the	DET
fis-1244	120	14	displacement	displacement	ADJ
fis-1244	120	15	boundary	boundary	ADJ
fis-1244	120	16	conditions	condition	NOUN
fis-1244	120	17	(	(	PUNCT
fis-1244	120	18	16)-(17)1	16)-(17)1	NUM
fis-1244	120	19	and	and	CCONJ
fis-1244	120	20	,	,	PUNCT
fis-1244	120	21	in	in	ADP
fis-1244	120	22	view	view	NOUN
fis-1244	120	23	of	of	ADP
fis-1244	120	24	(	(	PUNCT
fis-1244	120	25	13	13	NUM
fis-1244	120	26	)	)	PUNCT
fis-1244	120	27	and	and	CCONJ
fis-1244	120	28	(	(	PUNCT
fis-1244	120	29	20	20	NUM
fis-1244	120	30	)	)	PUNCT
fis-1244	120	31	,	,	PUNCT
fis-1244	120	32	it	it	PRON
fis-1244	120	33	is	be	AUX
fis-1244	120	34	easily	easily	ADV
fis-1244	120	35	seen	see	VERB
fis-1244	120	36	that	that	SCONJ
fis-1244	120	37	also	also	ADV
fis-1244	120	38	the	the	DET
fis-1244	120	39	traction	traction	ADJ
fis-1244	120	40	boundary	boundary	ADJ
fis-1244	120	41	condition	condition	NOUN
fis-1244	120	42	(	(	PUNCT
fis-1244	120	43	17)2	17)2	NUM
fis-1244	120	44	holds	hold	VERB
fis-1244	120	45	.	.	PUNCT
fis-1244	121	1	it	it	PRON
fis-1244	121	2	remains	remain	VERB
fis-1244	121	3	to	to	PART
fis-1244	121	4	study	study	VERB
fis-1244	121	5	the	the	DET
fis-1244	121	6	equilibrium	equilibrium	NOUN
fis-1244	121	7	field	field	NOUN
fis-1244	121	8	eq	eq	ADP
fis-1244	121	9	.	.	PUNCT
fis-1244	122	1	(	(	PUNCT
fis-1244	122	2	15	15	NUM
fis-1244	122	3	)	)	PUNCT
fis-1244	122	4	.	.	PUNCT
fis-1244	123	1	the	the	DET
fis-1244	123	2	explicitly	explicitly	ADV
fis-1244	123	3	evaluation	evaluation	NOUN
fis-1244	123	4	of	of	ADP
fis-1244	123	5	(	(	PUNCT
fis-1244	123	6	15	15	NUM
fis-1244	123	7	)	)	PUNCT
fis-1244	123	8	by	by	ADP
fis-1244	123	9	means	mean	NOUN
fis-1244	123	10	of	of	ADP
fis-1244	123	11	(	(	PUNCT
fis-1244	123	12	13	13	NUM
fis-1244	123	13	)	)	PUNCT
fis-1244	123	14	and	and	CCONJ
fis-1244	123	15	(	(	PUNCT
fis-1244	123	16	20	20	NUM
fis-1244	123	17	)	)	PUNCT
fis-1244	123	18	yields	yield	VERB
fis-1244	123	19	an	an	DET
fis-1244	123	20	over	over	ADV
fis-1244	123	21	-	-	PUNCT
fis-1244	123	22	determined	determine	VERB
fis-1244	123	23	system	system	NOUN
fis-1244	123	24	of	of	ADP
fis-1244	123	25	two	two	NUM
fis-1244	123	26	ode	ode	NOUN
fis-1244	123	27	for	for	ADP
fis-1244	123	28	the	the	DET
fis-1244	123	29	single	single	ADJ
fis-1244	123	30	unknown	unknown	ADJ
fis-1244	123	31	function	function	NOUN
fis-1244	123	32			PROPN
fis-1244	123	33	r	r	VERB
fis-1244	123	34	.	.	PUNCT
fis-1244	124	1	in	in	ADP
fis-1244	124	2	particular	particular	ADJ
fis-1244	124	3	,	,	PUNCT
fis-1244	124	4	here	here	ADV
fis-1244	124	5	we	we	PRON
fis-1244	124	6	consider	consider	VERB
fis-1244	124	7	the	the	DET
fis-1244	124	8	class	class	NOUN
fis-1244	124	9	c2	c2	PROPN
fis-1244	124	10	levinson	levinson	PROPN
fis-1244	124	11	-	-	PUNCT
fis-1244	124	12	burgess	burgess	PROPN
fis-1244	124	13	strain	strain	NOUN
fis-1244	124	14	energy	energy	NOUN
fis-1244	124	15	function	function	NOUN
fis-1244	124	16	a.	a.	NOUN
fis-1244	124	17	castellano	castellano	PROPN
fis-1244	124	18	et	et	PROPN
fis-1244	124	19	alii	alii	PROPN
fis-1244	124	20	,	,	PUNCT
fis-1244	124	21	frattura	frattura	PROPN
fis-1244	124	22	ed	ed	PROPN
fis-1244	124	23	integrità	integrità	PROPN
fis-1244	124	24	strutturale	strutturale	PROPN
fis-1244	124	25	,	,	PUNCT
fis-1244	124	26	29	29	NUM
fis-1244	124	27	(	(	PUNCT
fis-1244	124	28	2014	2014	NUM
fis-1244	124	29	)	)	PUNCT
fis-1244	124	30	128	128	NUM
fis-1244	124	31	-	-	SYM
fis-1244	124	32	138	138	NUM
fis-1244	124	33	;	;	PUNCT
fis-1244	124	34	doi	doi	NOUN
fis-1244	124	35	:	:	PUNCT
fis-1244	124	36	10.3221	10.3221	NUM
fis-1244	124	37	/	/	SYM
fis-1244	124	38	igf	igf	PROPN
fis-1244	124	39	-	-	PUNCT
fis-1244	124	40	esis.29.12	esis.29.12	PROPN
fis-1244	124	41	133	133	NUM
fis-1244	124	42			NOUN
fis-1244	124	43			SYM
fis-1244	124	44			NOUN
fis-1244	124	45			PUNCT
fis-1244	124	46			NOUN
fis-1244	125	1			NOUN
fis-1244	126	1			PUNCT
fis-1244	126	2			PROPN
fis-1244	126	3			NOUN
fis-1244	127	1			PROPN
fis-1244	127	2			NOUN
fis-1244	127	3	21	21	NOUN
fis-1244	127	4	2	2	NUM
fis-1244	127	5	1	1	NUM
fis-1244	127	6	2=	2=	NUM
fis-1244	127	7	1	1	NUM
fis-1244	127	8	4	4	NUM
fis-1244	127	9	1	1	NUM
fis-1244	127	10	i	i	NOUN
fis-1244	127	11	3	3	NUM
fis-1244	127	12	1	1	NUM
fis-1244	127	13	j	j	NOUN
fis-1244	127	14	3	3	NUM
fis-1244	127	15	2	2	NUM
fis-1244	127	16	1	1	NUM
fis-1244	127	17	2	2	NUM
fis-1244	127	18	iii	iii	NUM
fis-1244	127	19	1	1	NUM
fis-1244	127	20	2	2	NUM
fis-1244	127	21	iii	iii	NUM
fis-1244	127	22	1	1	NUM
fis-1244	127	23	2	2	NUM
fis-1244	127	24	1	1	NUM
fis-1244	127	25	2	2	NUM
fis-1244	127	26	w	w	NOUN
fis-1244	127	27			ADJ
fis-1244	127	28			NOUN
fis-1244	127	29			PROPN
fis-1244	127	30			NOUN
fis-1244	127	31			PROPN
fis-1244	127	32			ADP
fis-1244	127	33			PROPN
fis-1244	127	34			PROPN
fis-1244	127	35			CCONJ
fis-1244	127	36			PROPN
fis-1244	127	37			X
fis-1244	127	38			PROPN
fis-1244	127	39			ADV
fis-1244	127	40			X
fis-1244	127	41			ADV
fis-1244	127	42			NOUN
fis-1244	127	43			ADJ
fis-1244	127	44			NOUN
fis-1244	127	45			PROPN
fis-1244	127	46			PROPN
fis-1244	127	47			PROPN
fis-1244	127	48	f	f	VERB
fis-1244	127	49	b	b	PROPN
fis-1244	127	50	b	b	PROPN
fis-1244	127	51	b	b	PROPN
fis-1244	127	52	b	b	PROPN
fis-1244	127	53	(	(	PUNCT
fis-1244	127	54	22	22	NUM
fis-1244	127	55	)	)	PUNCT
fis-1244	127	56	where	where	SCONJ
fis-1244	127	57	and	and	PROPN
fis-1244	127	58	are	are	VERB
fis-1244	127	59	the	the	DET
fis-1244	127	60	referential	referential	ADJ
fis-1244	127	61	shear	shear	NOUN
fis-1244	127	62	modulus	modulus	NOUN
fis-1244	127	63	and	and	CCONJ
fis-1244	127	64	referential	referential	ADJ
fis-1244	127	65	poisson	poisson	NOUN
fis-1244	127	66	’s	’s	PART
fis-1244	127	67	ratio	ratio	NOUN
fis-1244	127	68	,	,	PUNCT
fis-1244	127	69	respectively	respectively	ADV
fis-1244	127	70	,	,	PUNCT
fis-1244	127	71	and	and	CCONJ
fis-1244	127	72			NOUN
fis-1244	127	73	0	0	PROPN
fis-1244	127	74	,	,	PUNCT
fis-1244	127	75	1	1	NUM
fis-1244	127	76	is	be	AUX
fis-1244	127	77	a	a	DET
fis-1244	127	78	dimensionless	dimensionless	NOUN
fis-1244	127	79	material	material	NOUN
fis-1244	127	80	parameter	parameter	NOUN
fis-1244	127	81	.	.	PUNCT
fis-1244	128	1	for	for	ADP
fis-1244	128	2	the	the	DET
fis-1244	128	3	constitutive	constitutive	ADJ
fis-1244	128	4	class	class	NOUN
fis-1244	128	5	(	(	PUNCT
fis-1244	128	6	22	22	NUM
fis-1244	128	7	)	)	PUNCT
fis-1244	128	8	,	,	PUNCT
fis-1244	128	9	the	the	DET
fis-1244	128	10	piola	piola	PROPN
fis-1244	128	11	stress	stress	NOUN
fis-1244	128	12	takes	take	VERB
fis-1244	128	13	the	the	DET
fis-1244	128	14	form	form	NOUN
fis-1244	128	15			NOUN
fis-1244	128	16			SYM
fis-1244	128	17			NOUN
fis-1244	128	18			SYM
fis-1244	128	19			NOUN
fis-1244	128	20			SYM
fis-1244	128	21			NOUN
fis-1244	128	22	1	1	NOUN
fis-1244	129	1	2	2	NUM
fis-1244	129	2	1	1	NUM
fis-1244	129	3	2	2	NUM
fis-1244	129	4	-	-	SYM
fis-1244	129	5	1	1	NUM
fis-1244	129	6	-t	-t	NOUN
fis-1244	129	7	-t4	-t4	NOUN
fis-1244	129	8	1	1	NUM
fis-1244	129	9	1	1	NUM
fis-1244	129	10	1	1	NUM
fis-1244	129	11	2	2	NUM
fis-1244	129	12	2	2	NUM
fis-1244	129	13	iii	iii	NUM
fis-1244	129	14	1	1	NUM
fis-1244	129	15	iii	iii	NUM
fis-1244	129	16	1	1	NUM
fis-1244	129	17	2	2	NUM
fis-1244	129	18			NOUN
fis-1244	129	19			VERB
fis-1244	129	20			PROPN
fis-1244	129	21			PROPN
fis-1244	129	22			NUM
fis-1244	129	23			NUM
fis-1244	129	24			NOUN
fis-1244	129	25			PROPN
fis-1244	129	26			PROPN
fis-1244	129	27			VERB
fis-1244	129	28			PROPN
fis-1244	129	29			X
fis-1244	129	30			ADV
fis-1244	129	31			X
fis-1244	129	32			ADV
fis-1244	129	33			X
fis-1244	129	34			NOUN
fis-1244	129	35			ADJ
fis-1244	129	36			NOUN
fis-1244	130	1			PRON
fis-1244	130	2			VERB
fis-1244	130	3			PROPN
fis-1244	130	4			ADJ
fis-1244	130	5			PROPN
fis-1244	130	6			NOUN
fis-1244	130	7	b	b	NOUN
fis-1244	131	1	bs	bs	NOUN
fis-1244	131	2	f	f	PROPN
fis-1244	131	3	f	f	PROPN
fis-1244	131	4	b	b	PROPN
fis-1244	131	5	f	f	X
fis-1244	131	6	f	f	PROPN
fis-1244	131	7	(	(	PUNCT
fis-1244	131	8	23	23	NUM
fis-1244	131	9	)	)	PUNCT
fis-1244	131	10	by	by	ADP
fis-1244	131	11	following	follow	VERB
fis-1244	131	12	a	a	DET
fis-1244	131	13	result	result	NOUN
fis-1244	131	14	contained	contain	VERB
fis-1244	131	15	in	in	ADP
fis-1244	131	16	[	[	X
fis-1244	131	17	16	16	NUM
fis-1244	131	18	]	]	PUNCT
fis-1244	131	19	,	,	PUNCT
fis-1244	131	20	it	it	PRON
fis-1244	131	21	is	be	AUX
fis-1244	131	22	possible	possible	ADJ
fis-1244	131	23	to	to	PART
fis-1244	131	24	generate	generate	VERB
fis-1244	131	25	classes	class	NOUN
fis-1244	131	26	of	of	ADP
fis-1244	131	27	strain	strain	NOUN
fis-1244	131	28	energy	energy	NOUN
fis-1244	131	29	functions	function	NOUN
fis-1244	131	30	such	such	ADJ
fis-1244	131	31	that	that	SCONJ
fis-1244	131	32	the	the	DET
fis-1244	131	33	azimuthal	azimuthal	ADJ
fis-1244	131	34	shear	shear	NOUN
fis-1244	131	35	satisfies	satisfy	VERB
fis-1244	131	36	both	both	CCONJ
fis-1244	131	37	the	the	DET
fis-1244	131	38	two	two	NUM
fis-1244	131	39	equilibrium	equilibrium	NOUN
fis-1244	131	40	ode	ode	NOUN
fis-1244	131	41	;	;	PUNCT
fis-1244	131	42	in	in	ADP
fis-1244	131	43	particular	particular	ADJ
fis-1244	131	44	,	,	PUNCT
fis-1244	131	45	for	for	ADP
fis-1244	131	46	the	the	DET
fis-1244	131	47	present	present	ADJ
fis-1244	131	48	case	case	NOUN
fis-1244	131	49	of	of	ADP
fis-1244	131	50	a	a	DET
fis-1244	131	51	levinson	levinson	PROPN
fis-1244	131	52	-	-	PUNCT
fis-1244	131	53	burgess	burgess	NOUN
fis-1244	131	54	material	material	NOUN
fis-1244	131	55	,	,	PUNCT
fis-1244	131	56	deformations	deformation	NOUN
fis-1244	131	57	of	of	ADP
fis-1244	131	58	the	the	DET
fis-1244	131	59	form	form	NOUN
fis-1244	131	60	(	(	PUNCT
fis-1244	131	61	18	18	NUM
fis-1244	131	62	)	)	PUNCT
fis-1244	131	63	are	be	AUX
fis-1244	131	64	allowed	allow	VERB
fis-1244	131	65	only	only	ADV
fis-1244	131	66	if	if	SCONJ
fis-1244	131	67	the	the	DET
fis-1244	131	68	following	follow	VERB
fis-1244	131	69	condition	condition	NOUN
fis-1244	131	70	on	on	ADP
fis-1244	131	71	the	the	DET
fis-1244	131	72	material	material	NOUN
fis-1244	131	73	parameters	parameter	NOUN
fis-1244	131	74	holds	hold	VERB
fis-1244	131	75	:	:	PUNCT
fis-1244	131	76	3	3	NUM
fis-1244	131	77	4	4	NUM
fis-1244	131	78			NOUN
fis-1244	131	79			NUM
fis-1244	131	80	(	(	PUNCT
fis-1244	131	81	24	24	NUM
fis-1244	131	82	)	)	PUNCT
fis-1244	131	83	finally	finally	ADV
fis-1244	131	84	,	,	PUNCT
fis-1244	131	85	in	in	ADP
fis-1244	131	86	view	view	NOUN
fis-1244	131	87	of	of	ADP
fis-1244	131	88	(	(	PUNCT
fis-1244	131	89	23	23	NUM
fis-1244	131	90	)	)	PUNCT
fis-1244	131	91	,	,	PUNCT
fis-1244	131	92	(	(	PUNCT
fis-1244	131	93	19)-(21	19)-(21	ADV
fis-1244	131	94	)	)	PUNCT
fis-1244	131	95	and	and	CCONJ
fis-1244	131	96	(	(	PUNCT
fis-1244	131	97	24	24	NUM
fis-1244	131	98	)	)	PUNCT
fis-1244	131	99	,	,	PUNCT
fis-1244	131	100	after	after	ADP
fis-1244	131	101	a	a	DET
fis-1244	131	102	non	non	ADJ
fis-1244	131	103	-	-	ADJ
fis-1244	131	104	trivial	trivial	ADJ
fis-1244	131	105	calculation	calculation	NOUN
fis-1244	131	106	we	we	PRON
fis-1244	131	107	obtain	obtain	VERB
fis-1244	131	108	from	from	ADP
fis-1244	131	109	(	(	PUNCT
fis-1244	131	110	15	15	NUM
fis-1244	131	111	)	)	PUNCT
fis-1244	131	112	a	a	DET
fis-1244	131	113	single	single	ADJ
fis-1244	131	114	ode	ode	NOUN
fis-1244	131	115	,	,	PUNCT
fis-1244	131	116	whose	whose	DET
fis-1244	131	117	solution	solution	NOUN
fis-1244	131	118	is	be	AUX
fis-1244	131	119			NOUN
fis-1244	131	120			PUNCT
fis-1244	131	121			NOUN
fis-1244	131	122			SYM
fis-1244	131	123			NOUN
fis-1244	131	124	2	2	ADJ
fis-1244	131	125	2	2	NUM
fis-1244	131	126	2	2	NUM
fis-1244	131	127	2	2	NUM
fis-1244	131	128	2	2	NUM
fis-1244	131	129	2	2	NUM
fis-1244	131	130	2	2	NUM
fis-1244	131	131	1	1	NUM
fis-1244	131	132	1	1	NUM
fis-1244	131	133	2r	2r	NUM
fis-1244	131	134	r	r	NOUN
fis-1244	131	135	r	r	NOUN
fis-1244	131	136	r	r	NOUN
fis-1244	131	137	r	r	NOUN
fis-1244	131	138	r	r	NOUN
fis-1244	131	139	1	1	NUM
fis-1244	131	140	r	r	NOUN
fis-1244	131	141	,	,	PUNCT
fis-1244	131	142			PROPN
fis-1244	131	143			PROPN
fis-1244	131	144			NOUN
fis-1244	131	145			ADJ
fis-1244	131	146			PROPN
fis-1244	131	147			ADJ
fis-1244	131	148			NOUN
fis-1244	131	149			NOUN
fis-1244	131	150			PROPN
fis-1244	131	151	(	(	PUNCT
fis-1244	131	152	25	25	NUM
fis-1244	131	153	)	)	PUNCT
fis-1244	131	154	periodic	periodic	ADJ
fis-1244	131	155	twist	twist	NOUN
fis-1244	131	156	-	-	PUNCT
fis-1244	131	157	like	like	ADJ
fis-1244	131	158	bifurcations	bifurcation	NOUN
fis-1244	131	159	we	we	PRON
fis-1244	131	160	now	now	ADV
fis-1244	131	161	consider	consider	VERB
fis-1244	131	162	the	the	DET
fis-1244	131	163	possibility	possibility	NOUN
fis-1244	131	164	of	of	ADP
fis-1244	131	165	deformations	deformation	NOUN
fis-1244	131	166	which	which	PRON
fis-1244	131	167	bifurcate	bifurcate	VERB
fis-1244	131	168	from	from	ADP
fis-1244	131	169	the	the	DET
fis-1244	131	170	primary	primary	ADJ
fis-1244	131	171	equilibrium	equilibrium	NOUN
fis-1244	131	172	pure	pure	ADJ
fis-1244	131	173	circular	circular	ADJ
fis-1244	131	174	shear	shear	NOUN
fis-1244	131	175	(	(	PUNCT
fis-1244	131	176	18	18	NUM
fis-1244	131	177	)	)	PUNCT
fis-1244	131	178	as	as	ADP
fis-1244	131	179	the	the	DET
fis-1244	131	180	loading	loading	NOUN
fis-1244	131	181	parameter	parameter	NOUN
fis-1244	131	182	(	(	PUNCT
fis-1244	131	183	angle	angle	NOUN
fis-1244	131	184	)	)	PUNCT
fis-1244	131	185			ADJ
fis-1244	131	186	increases	increase	NOUN
fis-1244	131	187	from	from	ADP
fis-1244	131	188	0	0	NUM
fis-1244	131	189	(	(	PUNCT
fis-1244	131	190	natural	natural	ADJ
fis-1244	131	191	state	state	NOUN
fis-1244	131	192	)	)	PUNCT
fis-1244	131	193	.	.	PUNCT
fis-1244	132	1	a	a	DET
fis-1244	132	2	condition	condition	NOUN
fis-1244	132	3	(	(	PUNCT
fis-1244	132	4	only	only	ADV
fis-1244	132	5	necessary	necessary	ADJ
fis-1244	132	6	)	)	PUNCT
fis-1244	132	7	for	for	ADP
fis-1244	132	8	the	the	DET
fis-1244	132	9	occurrence	occurrence	NOUN
fis-1244	132	10	of	of	ADP
fis-1244	132	11	a	a	DET
fis-1244	132	12	local	local	ADJ
fis-1244	132	13	branch	branch	NOUN
fis-1244	132	14	of	of	ADP
fis-1244	132	15	bifurcating	bifurcate	VERB
fis-1244	132	16	solutions	solution	NOUN
fis-1244	132	17	at	at	ADP
fis-1244	132	18	a	a	DET
fis-1244	132	19	fixed	fix	VERB
fis-1244	132	20			NOUN
fis-1244	132	21	is	be	AUX
fis-1244	132	22	the	the	DET
fis-1244	132	23	existence	existence	NOUN
fis-1244	132	24	of	of	ADP
fis-1244	132	25	a	a	DET
fis-1244	132	26	non	non	ADJ
fis-1244	132	27	-	-	ADJ
fis-1244	132	28	trivial	trivial	ADJ
fis-1244	132	29	solution	solution	NOUN
fis-1244	132	30	of	of	ADP
fis-1244	132	31	the	the	DET
fis-1244	132	32	homogeneous	homogeneous	ADJ
fis-1244	132	33	linearized	linearize	VERB
fis-1244	132	34	equilibrium	equilibrium	NOUN
fis-1244	132	35	problem	problem	NOUN
fis-1244	132	36	which	which	PRON
fis-1244	132	37	corresponds	correspond	VERB
fis-1244	132	38	to	to	ADP
fis-1244	132	39	an	an	DET
fis-1244	132	40	adjacent	adjacent	ADJ
fis-1244	132	41	equilibrium	equilibrium	NOUN
fis-1244	132	42	state	state	NOUN
fis-1244	132	43	.	.	PUNCT
fis-1244	133	1	such	such	ADJ
fis-1244	133	2	solutions	solution	NOUN
fis-1244	133	3	superposed	superpose	VERB
fis-1244	133	4	to	to	ADP
fis-1244	133	5	the	the	DET
fis-1244	133	6	primary	primary	ADJ
fis-1244	133	7	azimuthal	azimuthal	NOUN
fis-1244	133	8	shear	shear	NOUN
fis-1244	133	9	must	must	AUX
fis-1244	133	10	satisfy	satisfy	VERB
fis-1244	133	11	the	the	DET
fis-1244	133	12	adjacent	adjacent	ADJ
fis-1244	133	13	equilibrium	equilibrium	NOUN
fis-1244	133	14	eq	eq	ADP
fis-1244	133	15	.	.	PUNCT
fis-1244	134	1	(	(	PUNCT
fis-1244	134	2	26	26	NUM
fis-1244	134	3	)	)	PUNCT
fis-1244	134	4	and	and	CCONJ
fis-1244	134	5	the	the	DET
fis-1244	134	6	incremental	incremental	ADJ
fis-1244	134	7	boundary	boundary	ADJ
fis-1244	134	8	conditions	condition	NOUN
fis-1244	134	9	(	(	PUNCT
fis-1244	134	10	27)-(28	27)-(28	NUM
fis-1244	134	11	)	)	PUNCT
fis-1244	134	12	,	,	PUNCT
fis-1244	134	13	obtained	obtain	VERB
fis-1244	134	14	by	by	ADP
fis-1244	134	15	linearizing	linearize	VERB
fis-1244	134	16	(	(	PUNCT
fis-1244	134	17	15)-(17	15)-(17	NUM
fis-1244	134	18	)	)	PUNCT
fis-1244	134	19	around	around	ADP
fis-1244	134	20	the	the	DET
fis-1244	134	21	fundamental	fundamental	ADJ
fis-1244	134	22	deformation	deformation	NOUN
fis-1244	134	23			NOUN
fis-1244	134	24	x	x	NOUN
fis-1244	134	25	f	f	X
fis-1244	134	26	x	x	X
fis-1244	134	27	,	,	PUNCT
fis-1244	134	28	which	which	PRON
fis-1244	134	29	is	be	AUX
fis-1244	134	30	conveniently	conveniently	ADV
fis-1244	134	31	assumed	assume	VERB
fis-1244	134	32	as	as	ADP
fis-1244	134	33	the	the	DET
fis-1244	134	34	independent	independent	ADJ
fis-1244	134	35	variable	variable	NOUN
fis-1244	134	36	:	:	PUNCT
fis-1244	134	37			PROPN
fis-1244	134	38			NOUN
fis-1244	134	39			SYM
fis-1244	134	40			ADJ
fis-1244	134	41	gradr	gradr	NOUN
fis-1244	134	42	,	,	PUNCT
fis-1244	134	43	div	div	NOUN
fis-1244	134	44	in	in	ADP
fis-1244	134	45			NOUN
fis-1244	134	46	0	0	X
fis-1244	135	1	uf	uf	INTJ
fis-1244	135	2			X
fis-1244	135	3	(	(	PUNCT
fis-1244	135	4	26	26	NUM
fis-1244	135	5	)	)	PUNCT
fis-1244	135	6	1	1	NUM
fis-1244	135	7	on	on	ADP
fis-1244	135	8	u	u	PROPN
fis-1244	135	9	0	0	NUM
fis-1244	136	1			NOUN
fis-1244	136	2	(	(	PUNCT
fis-1244	136	3	27	27	NUM
fis-1244	136	4	)	)	PUNCT
fis-1244	136	5			NOUN
fis-1244	136	6			NOUN
fis-1244	136	7			PUNCT
fis-1244	136	8	gradr	gradr	NOUN
fis-1244	136	9	,	,	PUNCT
fis-1244	136	10	z	z	PROPN
fis-1244	136	11	2z	2z	NUM
fis-1244	136	12	z=	z=	NOUN
fis-1244	136	13	0	0	NUM
fis-1244	136	14	,	,	PUNCT
fis-1244	136	15	=	=	VERB
fis-1244	136	16	on	on	ADP
fis-1244	136	17			X
fis-1244	136	18	u	u	X
fis-1244	136	19	e	e	X
fis-1244	136	20	e	e	X
fis-1244	136	21	e	e	X
fis-1244	136	22	0	0	X
fis-1244	137	1	uf	uf	INTJ
fis-1244	137	2			INTJ
fis-1244	137	3	(	(	PUNCT
fis-1244	137	4	28	28	NUM
fis-1244	137	5	)	)	PUNCT
fis-1244	137	6	in	in	ADP
fis-1244	137	7	particular	particular	ADJ
fis-1244	137	8	,	,	PUNCT
fis-1244	137	9			PROPN
fis-1244	137	10			PROPN
fis-1244	137	11	3	3	NUM
fis-1244	137	12	:	:	PUNCT
fis-1244	137	13	u	u	PUNCT
fis-1244	137	14	x	x	X
fis-1244	137	15			X
fis-1244	137	16	represents	represent	VERB
fis-1244	137	17	an	an	DET
fis-1244	137	18	incremental	incremental	ADJ
fis-1244	137	19	displacement	displacement	ADJ
fis-1244	137	20	field	field	NOUN
fis-1244	137	21	,	,	PUNCT
fis-1244	137	22	“	"	PUNCT
fis-1244	137	23	div	div	X
fis-1244	137	24	”	"	PUNCT
fis-1244	137	25	and	and	CCONJ
fis-1244	137	26	“	"	PUNCT
fis-1244	137	27	grad	grad	NOUN
fis-1244	137	28	”	"	PUNCT
fis-1244	137	29	are	be	AUX
fis-1244	137	30	the	the	DET
fis-1244	137	31	divergence	divergence	NOUN
fis-1244	137	32	and	and	CCONJ
fis-1244	137	33	gradient	gradient	NOUN
fis-1244	137	34	operators	operator	NOUN
fis-1244	137	35	with	with	ADP
fis-1244	137	36	respect	respect	NOUN
fis-1244	137	37	to	to	ADP
fis-1244	137	38	x	x	PRON
fis-1244	137	39	,	,	PUNCT
fis-1244	137	40	respectively	respectively	ADV
fis-1244	137	41	,	,	PUNCT
fis-1244	137	42	and	and	CCONJ
fis-1244	137	43			PROPN
fis-1244	137	44	is	be	AUX
fis-1244	137	45	the	the	DET
fis-1244	137	46	fourth	fourth	ADJ
fis-1244	137	47	-	-	PUNCT
fis-1244	137	48	order	order	NOUN
fis-1244	137	49	instantaneous	instantaneous	ADJ
fis-1244	137	50	elasticity	elasticity	NOUN
fis-1244	137	51	tensor	tensor	NOUN
fis-1244	137	52	,	,	PUNCT
fis-1244	137	53	given	give	VERB
fis-1244	137	54	by	by	ADP
fis-1244	137	55	:	:	PUNCT
fis-1244	137	56			PROPN
fis-1244	137	57			NOUN
fis-1244	137	58			PUNCT
fis-1244	138	1			X
fis-1244	138	2			PROPN
fis-1244	138	3			NOUN
fis-1244	139	1			PROPN
fis-1244	139	2			NOUN
fis-1244	139	3			SYM
fis-1244	139	4			NOUN
fis-1244	139	5	r	r	NOUN
fis-1244	139	6	,	,	PUNCT
fis-1244	139	7	r	r	NOUN
fis-1244	139	8	,	,	PUNCT
fis-1244	139	9	r	r	NOUN
fis-1244	139	10	,	,	PUNCT
fis-1244	139	11	r	r	NOUN
fis-1244	139	12	,	,	PUNCT
fis-1244	139	13	2	2	NUM
fis-1244	139	14	t	t	NOUN
fis-1244	139	15	:	:	PUNCT
fis-1244	139	16	d	d	NOUN
fis-1244	139	17	,	,	PUNCT
fis-1244	139	18	w	w	PROPN
fis-1244	139	19	lin	lin	PROPN
fis-1244	139	20			ADJ
fis-1244	139	21			ADJ
fis-1244	139	22			X
fis-1244	139	23			X
fis-1244	139	24			VERB
fis-1244	139	25			PROPN
fis-1244	139	26			PROPN
fis-1244	139	27			ADJ
fis-1244	139	28			PROPN
fis-1244	139	29			X
fis-1244	139	30	hh	hh	PROPN
fis-1244	139	31	hf	hf	ADP
fis-1244	139	32	f	f	PROPN
fis-1244	140	1	f	f	PROPN
fis-1244	141	1	f	f	PROPN
fis-1244	141	2	(	(	PUNCT
fis-1244	141	3	29	29	NUM
fis-1244	141	4	)	)	PUNCT
fis-1244	141	5	for	for	ADP
fis-1244	141	6	the	the	DET
fis-1244	141	7	constitutive	constitutive	ADJ
fis-1244	141	8	class	class	NOUN
fis-1244	141	9	(	(	PUNCT
fis-1244	141	10	22	22	NUM
fis-1244	141	11	)	)	PUNCT
fis-1244	141	12	,	,	PUNCT
fis-1244	141	13	it	it	PRON
fis-1244	141	14	follows	follow	VERB
fis-1244	141	15	from	from	ADP
fis-1244	141	16	(	(	PUNCT
fis-1244	141	17	29	29	NUM
fis-1244	141	18	)	)	PUNCT
fis-1244	141	19	,	,	PUNCT
fis-1244	141	20	(	(	PUNCT
fis-1244	141	21	20)-(21	20)-(21	NUM
fis-1244	141	22	)	)	PUNCT
fis-1244	141	23	and	and	CCONJ
fis-1244	141	24	(	(	PUNCT
fis-1244	141	25	24	24	NUM
fis-1244	141	26	)	)	PUNCT
fis-1244	142	1	that	that	PRON
fis-1244	142	2			NOUN
fis-1244	142	3			PRON
fis-1244	142	4			PUNCT
fis-1244	142	5			ADP
fis-1244	142	6			NOUN
fis-1244	142	7			SYM
fis-1244	142	8			NOUN
fis-1244	142	9			PUNCT
fis-1244	142	10			NOUN
fis-1244	143	1			NOUN
fis-1244	144	1			PUNCT
fis-1244	144	2			NOUN
fis-1244	144	3			PUNCT
fis-1244	144	4			NOUN
fis-1244	144	5			NOUN
fis-1244	145	1			PUNCT
fis-1244	145	2			NOUN
fis-1244	145	3			PUNCT
fis-1244	145	4	r	r	NOUN
fis-1244	145	5	,	,	PUNCT
fis-1244	145	6	t	t	PROPN
fis-1244	145	7	t1	t1	NOUN
fis-1244	145	8	1	1	NUM
fis-1244	145	9	t	t	NOUN
fis-1244	145	10	grad	grad	NOUN
fis-1244	145	11	1	1	NUM
fis-1244	145	12	grad	grad	NOUN
fis-1244	145	13	grad	grad	PROPN
fis-1244	145	14	grad	grad	NOUN
fis-1244	145	15	4	4	NUM
fis-1244	145	16	3	3	NUM
fis-1244	145	17	2	2	NUM
fis-1244	145	18	1	1	NUM
fis-1244	145	19	grad	grad	NOUN
fis-1244	145	20	grad	grad	NOUN
fis-1244	145	21	grad	grad	NOUN
fis-1244	145	22	4	4	NUM
fis-1244	145	23	1	1	NUM
fis-1244	145	24	2	2	NUM
fis-1244	145	25	2	2	NUM
fis-1244	145	26			NOUN
fis-1244	145	27			NOUN
fis-1244	145	28			NOUN
fis-1244	145	29			NOUN
fis-1244	145	30			NOUN
fis-1244	145	31			VERB
fis-1244	145	32			NUM
fis-1244	145	33			NOUN
fis-1244	145	34			PROPN
fis-1244	145	35			ADJ
fis-1244	145	36			NOUN
fis-1244	145	37			NUM
fis-1244	145	38			NUM
fis-1244	145	39			NOUN
fis-1244	146	1			PROPN
fis-1244	146	2			PROPN
fis-1244	146	3			ADJ
fis-1244	146	4			PROPN
fis-1244	146	5			NOUN
fis-1244	146	6			PROPN
fis-1244	146	7			PROPN
fis-1244	146	8			ADJ
fis-1244	146	9			PROPN
fis-1244	146	10	u	u	PROPN
fis-1244	146	11	b	b	PROPN
fis-1244	146	12	b	b	X
fis-1244	146	13	u	u	X
fis-1244	146	14	u	u	NOUN
fis-1244	146	15	u	u	NOUN
fis-1244	146	16	b	b	NOUN
fis-1244	147	1	i	i	PRON
fis-1244	147	2	u	u	VERB
fis-1244	147	3	i	i	PRON
fis-1244	147	4	u	u	VERB
fis-1244	147	5			X
fis-1244	147	6			X
fis-1244	147	7			PROPN
fis-1244	147	8			X
fis-1244	147	9	uf	uf	PROPN
fis-1244	147	10	(	(	PUNCT
fis-1244	147	11	30	30	NUM
fis-1244	147	12	)	)	PUNCT
fis-1244	147	13	where	where	SCONJ
fis-1244	147	14	b	b	PUNCT
fis-1244	147	15	is	be	AUX
fis-1244	147	16	given	give	VERB
fis-1244	147	17	by	by	ADP
fis-1244	147	18	(	(	PUNCT
fis-1244	147	19	20)2	20)2	NUM
fis-1244	147	20	.	.	PUNCT
fis-1244	148	1	we	we	PRON
fis-1244	148	2	now	now	ADV
fis-1244	148	3	restrict	restrict	VERB
fis-1244	148	4	our	our	PRON
fis-1244	148	5	analysis	analysis	NOUN
fis-1244	148	6	to	to	ADP
fis-1244	148	7	the	the	DET
fis-1244	148	8	class	class	NOUN
fis-1244	148	9			NOUN
fis-1244	148	10			PROPN
fis-1244	148	11			NOUN
fis-1244	148	12			SYM
fis-1244	148	13			NOUN
fis-1244	148	14			SYM
fis-1244	148	15			NOUN
fis-1244	148	16			PUNCT
fis-1244	148	17			NOUN
fis-1244	148	18			NOUN
fis-1244	148	19	3	3	NUM
fis-1244	148	20	r	r	NOUN
fis-1244	148	21	1	1	NUM
fis-1244	148	22	2	2	NUM
fis-1244	148	23	z	z	NOUN
fis-1244	148	24	3	3	NUM
fis-1244	148	25	1	1	NUM
fis-1244	148	26	2	2	NUM
fis-1244	148	27	:	:	PUNCT
fis-1244	148	28	:	:	PUNCT
fis-1244	148	29	u	u	NOUN
fis-1244	148	30	v	v	ADP
fis-1244	148	31	r	r	NOUN
fis-1244	148	32	cos	cos	PROPN
fis-1244	148	33	z	z	PROPN
fis-1244	148	34	,	,	PUNCT
fis-1244	148	35	u	u	NOUN
fis-1244	148	36	v	v	ADP
fis-1244	148	37	r	r	NOUN
fis-1244	148	38	cos	cos	PROPN
fis-1244	148	39	z	z	PROPN
fis-1244	148	40	,	,	PUNCT
fis-1244	148	41	u	u	NOUN
fis-1244	148	42	v	v	ADP
fis-1244	148	43	r	r	NOUN
fis-1244	148	44	sin	sin	NOUN
fis-1244	148	45	z	z	PROPN
fis-1244	148	46	,	,	PUNCT
fis-1244	148	47	n	n	PROPN
fis-1244	148	48	,	,	PUNCT
fis-1244	148	49	n	n	PROPN
fis-1244	148	50	0	0	NUM
fis-1244	148	51	,	,	PUNCT
fis-1244	148	52	1	1	NUM
fis-1244	148	53	,	,	PUNCT
fis-1244	148	54	2	2	NUM
fis-1244	148	55	,	,	PUNCT
fis-1244	148	56	..	..	PUNCT
fis-1244	148	57	,	,	PUNCT
fis-1244	148	58	r	r	NOUN
fis-1244	148	59	r	r	NOUN
fis-1244	148	60	h	h	NOUN
fis-1244	148	61			X
fis-1244	148	62			NOUN
fis-1244	148	63			ADP
fis-1244	148	64			PROPN
fis-1244	148	65			PRON
fis-1244	148	66			VERB
fis-1244	148	67			PROPN
fis-1244	148	68			VERB
fis-1244	148	69			PROPN
fis-1244	148	70			VERB
fis-1244	148	71			PRON
fis-1244	148	72			NUM
fis-1244	148	73			NOUN
fis-1244	148	74			PROPN
fis-1244	149	1			X
fis-1244	149	2			NUM
fis-1244	150	1			NUM
fis-1244	151	1			NOUN
fis-1244	152	1			ADJ
fis-1244	153	1			NUM
fis-1244	153	2			PROPN
fis-1244	153	3	u	u	NOUN
fis-1244	153	4	u	u	X
fis-1244	153	5	u	u	NOUN
fis-1244	153	6			NUM
fis-1244	153	7	0	0	NUM
fis-1244	153	8			NOUN
fis-1244	153	9			PROPN
fis-1244	153	10	(	(	PUNCT
fis-1244	153	11	31	31	NUM
fis-1244	153	12	)	)	PUNCT
fis-1244	153	13	a.	a.	NOUN
fis-1244	153	14	castellano	castellano	PROPN
fis-1244	153	15	et	et	PROPN
fis-1244	153	16	alii	alii	PROPN
fis-1244	153	17	,	,	PUNCT
fis-1244	153	18	frattura	frattura	PROPN
fis-1244	153	19	ed	ed	PROPN
fis-1244	153	20	integrità	integrità	PROPN
fis-1244	153	21	strutturale	strutturale	PROPN
fis-1244	153	22	,	,	PUNCT
fis-1244	153	23	29	29	NUM
fis-1244	153	24	(	(	PUNCT
fis-1244	153	25	2014	2014	NUM
fis-1244	153	26	)	)	PUNCT
fis-1244	153	27	128	128	NUM
fis-1244	153	28	-	-	SYM
fis-1244	153	29	138	138	NUM
fis-1244	153	30	;	;	PUNCT
fis-1244	153	31	doi	doi	NOUN
fis-1244	153	32	:	:	PUNCT
fis-1244	153	33	10.3221	10.3221	NUM
fis-1244	153	34	/	/	SYM
fis-1244	153	35	igf	igf	PROPN
fis-1244	153	36	-	-	PUNCT
fis-1244	153	37	esis.29.12	esis.29.12	PROPN
fis-1244	153	38	134	134	NUM
fis-1244	153	39	of	of	ADP
fis-1244	153	40	periodic	periodic	ADJ
fis-1244	153	41	bifurcating	bifurcate	VERB
fis-1244	153	42	displacements	displacement	NOUN
fis-1244	153	43	which	which	PRON
fis-1244	153	44	are	be	AUX
fis-1244	153	45	reminiscent	reminiscent	ADJ
fis-1244	153	46	of	of	ADP
fis-1244	153	47	the	the	DET
fis-1244	153	48	instability	instability	NOUN
fis-1244	153	49	patterns	pattern	NOUN
fis-1244	153	50	observed	observe	VERB
fis-1244	153	51	in	in	ADP
fis-1244	153	52	the	the	DET
fis-1244	153	53	classical	classical	ADJ
fis-1244	153	54	taylorcouette	taylorcouette	NOUN
fis-1244	153	55	shear	shear	NOUN
fis-1244	153	56	flow	flow	NOUN
fis-1244	153	57	of	of	ADP
fis-1244	153	58	viscous	viscous	ADJ
fis-1244	153	59	fluids	fluid	NOUN
fis-1244	153	60	.	.	PUNCT
fis-1244	154	1	a	a	DET
fis-1244	154	2	more	more	ADV
fis-1244	154	3	detailed	detailed	ADJ
fis-1244	154	4	discussions	discussion	NOUN
fis-1244	154	5	on	on	ADP
fis-1244	154	6	such	such	DET
fis-1244	154	7	a	a	DET
fis-1244	154	8	choice	choice	NOUN
fis-1244	154	9	,	,	PUNCT
fis-1244	154	10	together	together	ADV
fis-1244	154	11	with	with	ADP
fis-1244	154	12	an	an	DET
fis-1244	154	13	exhaustive	exhaustive	ADJ
fis-1244	154	14	analysis	analysis	NOUN
fis-1244	154	15	of	of	ADP
fis-1244	154	16	problems	problem	NOUN
fis-1244	154	17	closely	closely	ADV
fis-1244	154	18	related	relate	VERB
fis-1244	154	19	to	to	ADP
fis-1244	154	20	the	the	DET
fis-1244	154	21	one	one	NOUN
fis-1244	154	22	here	here	ADV
fis-1244	154	23	presented	present	VERB
fis-1244	154	24	,	,	PUNCT
fis-1244	154	25	are	be	AUX
fis-1244	154	26	developed	develop	VERB
fis-1244	154	27	in	in	ADP
fis-1244	154	28	[	[	X
fis-1244	154	29	17	17	NUM
fis-1244	154	30	]	]	PUNCT
fis-1244	154	31	,	,	PUNCT
fis-1244	155	1	[	[	X
fis-1244	155	2	18	18	NUM
fis-1244	155	3	]	]	X
fis-1244	155	4	;	;	PUNCT
fis-1244	155	5	in	in	ADP
fis-1244	155	6	particular	particular	ADJ
fis-1244	155	7	,	,	PUNCT
fis-1244	155	8	in	in	ADP
fis-1244	155	9	[	[	PUNCT
fis-1244	155	10	17	17	NUM
fis-1244	155	11	]	]	PUNCT
fis-1244	155	12	one	one	PRON
fis-1244	155	13	may	may	AUX
fis-1244	155	14	also	also	ADV
fis-1244	155	15	find	find	VERB
fis-1244	155	16	stability	stability	NOUN
fis-1244	155	17	issues	issue	NOUN
fis-1244	155	18	based	base	VERB
fis-1244	155	19	on	on	ADP
fis-1244	155	20	[	[	X
fis-1244	155	21	19	19	NUM
fis-1244	155	22	]	]	PUNCT
fis-1244	155	23	and	and	CCONJ
fis-1244	155	24	partly	partly	ADV
fis-1244	155	25	on	on	ADP
fis-1244	155	26	[	[	X
fis-1244	155	27	20	20	NUM
fis-1244	155	28	]	]	PUNCT
fis-1244	155	29	.	.	PUNCT
fis-1244	156	1	this	this	PRON
fis-1244	156	2	allows	allow	VERB
fis-1244	156	3	us	we	PRON
fis-1244	156	4	to	to	PART
fis-1244	156	5	skip	skip	VERB
fis-1244	156	6	here	here	ADV
fis-1244	156	7	the	the	DET
fis-1244	156	8	description	description	NOUN
fis-1244	156	9	of	of	ADP
fis-1244	156	10	certain	certain	ADJ
fis-1244	156	11	analytical	analytical	ADJ
fis-1244	156	12	developments	development	NOUN
fis-1244	156	13	,	,	PUNCT
fis-1244	156	14	for	for	ADP
fis-1244	156	15	which	which	PRON
fis-1244	156	16	we	we	PRON
fis-1244	156	17	refer	refer	VERB
fis-1244	156	18	to	to	ADP
fis-1244	156	19	the	the	DET
fis-1244	156	20	works	work	NOUN
fis-1244	156	21	above	above	ADP
fis-1244	156	22	mentioned	mention	VERB
fis-1244	156	23	.	.	PUNCT
fis-1244	157	1	notice	notice	VERB
fis-1244	157	2	that	that	SCONJ
fis-1244	157	3	(	(	PUNCT
fis-1244	157	4	31	31	NUM
fis-1244	157	5	)	)	PUNCT
fis-1244	157	6	models	model	NOUN
fis-1244	157	7	the	the	DET
fis-1244	157	8	occurrence	occurrence	NOUN
fis-1244	157	9	of	of	ADP
fis-1244	157	10	an	an	DET
fis-1244	157	11	axially	axially	ADV
fis-1244	157	12	periodic	periodic	ADJ
fis-1244	157	13	cellular	cellular	ADJ
fis-1244	157	14	pattern	pattern	NOUN
fis-1244	157	15	in	in	ADP
fis-1244	157	16	the	the	DET
fis-1244	157	17	gap	gap	NOUN
fis-1244	157	18	between	between	ADP
fis-1244	157	19	the	the	DET
fis-1244	157	20	inner	inner	ADJ
fis-1244	157	21	and	and	CCONJ
fis-1244	157	22	outer	outer	ADJ
fis-1244	157	23	cylinders	cylinder	NOUN
fis-1244	157	24	(	(	PUNCT
fis-1244	157	25	n	n	CCONJ
fis-1244	157	26	represents	represent	VERB
fis-1244	157	27	the	the	DET
fis-1244	157	28	number	number	NOUN
fis-1244	157	29	of	of	ADP
fis-1244	157	30	possibly	possibly	ADV
fis-1244	157	31	forming	form	VERB
fis-1244	157	32	cells	cell	NOUN
fis-1244	157	33	in	in	ADP
fis-1244	157	34	the	the	DET
fis-1244	157	35	axial	axial	ADJ
fis-1244	157	36	direction	direction	NOUN
fis-1244	157	37	)	)	PUNCT
fis-1244	157	38	;	;	PUNCT
fis-1244	157	39	in	in	ADP
fis-1244	157	40	particular	particular	ADJ
fis-1244	157	41	,	,	PUNCT
fis-1244	157	42	inside	inside	ADP
fis-1244	157	43	each	each	PRON
fis-1244	157	44	of	of	ADP
fis-1244	157	45	the	the	DET
fis-1244	157	46	n	n	CCONJ
fis-1244	157	47	possible	possible	ADJ
fis-1244	157	48	forming	form	VERB
fis-1244	157	49	cells	cell	NOUN
fis-1244	157	50	,	,	PUNCT
fis-1244	157	51	(	(	PUNCT
fis-1244	157	52	31	31	NUM
fis-1244	157	53	)	)	PUNCT
fis-1244	157	54	describes	describe	VERB
fis-1244	157	55	a	a	DET
fis-1244	157	56	twist	twist	NOUN
fis-1244	157	57	-	-	PUNCT
fis-1244	157	58	like	like	ADJ
fis-1244	157	59	displacement	displacement	ADJ
fis-1244	157	60	perpendicular	perpendicular	NOUN
fis-1244	157	61	to	to	ADP
fis-1244	157	62	the	the	DET
fis-1244	157	63	e	e	PRON
fis-1244	157	64	-direction	-direction	NOUN
fis-1244	157	65	of	of	ADP
fis-1244	157	66	primary	primary	ADJ
fis-1244	157	67	annular	annular	ADJ
fis-1244	157	68	shear	shear	NOUN
fis-1244	157	69	,	,	PUNCT
fis-1244	157	70	so	so	SCONJ
fis-1244	157	71	that	that	SCONJ
fis-1244	157	72	the	the	DET
fis-1244	157	73	vector	vector	NOUN
fis-1244	157	74	lines	line	NOUN
fis-1244	157	75	of	of	ADP
fis-1244	157	76	the	the	DET
fis-1244	157	77	incremental	incremental	ADJ
fis-1244	157	78	displacement	displacement	NOUN
fis-1244	157	79	u	u	NOUN
fis-1244	157	80	are	be	AUX
fis-1244	157	81	similar	similar	ADJ
fis-1244	157	82	to	to	ADP
fis-1244	157	83	the	the	DET
fis-1244	157	84	streamlines	streamline	NOUN
fis-1244	157	85	of	of	ADP
fis-1244	157	86	the	the	DET
fis-1244	157	87	twisting	twisting	NOUN
fis-1244	157	88	taylor	taylor	NOUN
fis-1244	157	89	-	-	PUNCT
fis-1244	157	90	like	like	ADJ
fis-1244	157	91	effects	effect	NOUN
fis-1244	157	92	for	for	ADP
fis-1244	157	93	fluids	fluid	NOUN
fis-1244	157	94	.	.	PUNCT
fis-1244	158	1	we	we	PRON
fis-1244	158	2	easily	easily	ADV
fis-1244	158	3	check	check	VERB
fis-1244	158	4	from	from	ADP
fis-1244	158	5	(	(	PUNCT
fis-1244	158	6	31	31	NUM
fis-1244	158	7	)	)	PUNCT
fis-1244	158	8	that	that	SCONJ
fis-1244	158	9	the	the	DET
fis-1244	158	10	displacement	displacement	ADJ
fis-1244	158	11	incremental	incremental	ADJ
fis-1244	158	12	boundary	boundary	ADJ
fis-1244	158	13	condition	condition	NOUN
fis-1244	158	14	(	(	PUNCT
fis-1244	158	15	28)1	28)1	NUM
fis-1244	158	16	trivially	trivially	ADV
fis-1244	158	17	holds	hold	VERB
fis-1244	158	18	,	,	PUNCT
fis-1244	158	19	whereas	whereas	SCONJ
fis-1244	158	20	(	(	PUNCT
fis-1244	158	21	27	27	NUM
fis-1244	158	22	)	)	PUNCT
fis-1244	158	23	holds	hold	VERB
fis-1244	158	24	provided	provide	VERB
fis-1244	158	25	the	the	DET
fis-1244	158	26	smooth	smooth	ADJ
fis-1244	158	27	scalar	scalar	ADJ
fis-1244	158	28	functions	function	NOUN
fis-1244	158	29			NOUN
fis-1244	158	30	1v	1v	PUNCT
fis-1244	159	1	r	r	NOUN
fis-1244	159	2	,	,	PUNCT
fis-1244	159	3			PROPN
fis-1244	159	4	2v	2v	PUNCT
fis-1244	159	5	r	r	NOUN
fis-1244	159	6	,	,	PUNCT
fis-1244	159	7			PROPN
fis-1244	159	8	3v	3v	PUNCT
fis-1244	159	9	r	r	NOUN
fis-1244	159	10	for	for	ADP
fis-1244	159	11	r	r	NOUN
fis-1244	159	12	in	in	ADP
fis-1244	159	13			ADJ
fis-1244	159	14	1	1	NOUN
fis-1244	159	15	2r	2r	NUM
fis-1244	159	16	,	,	PUNCT
fis-1244	159	17	r	r	NOUN
fis-1244	159	18	are	be	AUX
fis-1244	159	19	such	such	ADJ
fis-1244	159	20	that	that	SCONJ
fis-1244	159	21			NOUN
fis-1244	159	22			SYM
fis-1244	159	23			NOUN
fis-1244	159	24			SYM
fis-1244	159	25			NOUN
fis-1244	159	26			PUNCT
fis-1244	159	27			NOUN
fis-1244	160	1			NOUN
fis-1244	161	1			PUNCT
fis-1244	161	2			NOUN
fis-1244	161	3			SYM
fis-1244	161	4			NOUN
fis-1244	161	5			SYM
fis-1244	161	6			NOUN
fis-1244	161	7			PUNCT
fis-1244	161	8			NOUN
fis-1244	162	1			NOUN
fis-1244	162	2			PUNCT
fis-1244	162	3			NOUN
fis-1244	162	4	1	1	VERB
fis-1244	162	5	1	1	NUM
fis-1244	162	6	1	1	NUM
fis-1244	162	7	1	1	NUM
fis-1244	162	8	2	2	NUM
fis-1244	162	9	2	2	NUM
fis-1244	162	10	21	21	NUM
fis-1244	162	11	2	2	NUM
fis-1244	162	12	3	3	NUM
fis-1244	162	13	2	2	NUM
fis-1244	162	14	3	3	NUM
fis-1244	162	15	21r	21r	NOUN
fis-1244	162	16	:	:	PUNCT
fis-1244	162	17	r	r	NOUN
fis-1244	162	18	r	r	NOUN
fis-1244	162	19	r	r	NOUN
fis-1244	162	20	rv	rv	PROPN
fis-1244	162	21	,	,	PUNCT
fis-1244	162	22	v	v	INTJ
fis-1244	162	23	,	,	PUNCT
fis-1244	162	24	v	v	NOUN
fis-1244	162	25	v	v	NUM
fis-1244	162	26	,	,	PUNCT
fis-1244	162	27	v	v	INTJ
fis-1244	162	28	,	,	PUNCT
fis-1244	162	29	v	v	NOUN
fis-1244	162	30	:	:	PUNCT
fis-1244	162	31	r	r	NOUN
fis-1244	162	32	r	r	NOUN
fis-1244	162	33	r	r	NOUN
fis-1244	162	34	0	0	NUM
fis-1244	162	35	0	0	NUM
fis-1244	162	36	,	,	PUNCT
fis-1244	162	37	,	,	PUNCT
fis-1244	162	38	0	0	NUM
fis-1244	163	1			NUM
fis-1244	164	1			NUM
fis-1244	164	2			PROPN
fis-1244	164	3	v	v	PROPN
fis-1244	164	4	v	v	NOUN
fis-1244	164	5	0	0	NUM
fis-1244	164	6	(	(	PUNCT
fis-1244	164	7	32	32	NUM
fis-1244	164	8	)	)	PUNCT
fis-1244	164	9	for	for	ADP
fis-1244	164	10	what	what	PRON
fis-1244	164	11	concerns	concern	VERB
fis-1244	164	12	the	the	DET
fis-1244	164	13	traction	traction	NOUN
fis-1244	164	14	boundary	boundary	ADJ
fis-1244	164	15	condition	condition	NOUN
fis-1244	164	16	(	(	PUNCT
fis-1244	164	17	28)2	28)2	NUM
fis-1244	164	18	and	and	CCONJ
fis-1244	164	19	the	the	DET
fis-1244	164	20	field	field	NOUN
fis-1244	164	21	eq	eq	ADP
fis-1244	164	22	.	.	PUNCT
fis-1244	165	1	(	(	PUNCT
fis-1244	165	2	26	26	NUM
fis-1244	165	3	)	)	PUNCT
fis-1244	165	4	,	,	PUNCT
fis-1244	165	5	we	we	PRON
fis-1244	165	6	first	first	ADV
fis-1244	165	7	observe	observe	VERB
fis-1244	165	8	by	by	ADP
fis-1244	165	9	(	(	PUNCT
fis-1244	165	10	31	31	NUM
fis-1244	165	11	)	)	PUNCT
fis-1244	166	1	that	that	PRON
fis-1244	166	2			NOUN
fis-1244	166	3			SYM
fis-1244	166	4			NOUN
fis-1244	166	5			NOUN
fis-1244	166	6	1	1	NUM
fis-1244	166	7	1	1	NUM
fis-1244	166	8	1	1	NUM
fis-1244	166	9	r	r	NOUN
fis-1244	166	10	r	r	NOUN
fis-1244	166	11	2	2	NUM
fis-1244	166	12	r	r	NOUN
fis-1244	166	13	2	2	NUM
fis-1244	166	14	r	r	NOUN
fis-1244	166	15	1	1	NUM
fis-1244	166	16	3	3	NUM
fis-1244	166	17	z	z	NOUN
fis-1244	166	18	z	z	NOUN
fis-1244	166	19	1	1	NUM
fis-1244	166	20	r	r	NOUN
fis-1244	166	21	z	z	NOUN
fis-1244	166	22	2	2	NUM
fis-1244	166	23	z	z	NOUN
fis-1244	166	24	3	3	NUM
fis-1244	166	25	z	z	NOUN
fis-1244	166	26	r	r	NOUN
fis-1244	166	27	grad	grad	NOUN
fis-1244	166	28	v	v	ADP
fis-1244	166	29	v	v	NOUN
fis-1244	166	30	r	r	NOUN
fis-1244	166	31	v	v	NOUN
fis-1244	166	32	v	v	NOUN
fis-1244	166	33	r	r	NOUN
fis-1244	166	34	v	v	NOUN
fis-1244	166	35	v	v	NOUN
fis-1244	166	36	cos	cos	PROPN
fis-1244	166	37	z	z	PROPN
fis-1244	166	38	sin	sin	PROPN
fis-1244	166	39	z	z	PROPN
fis-1244	166	40	v	v	NOUN
fis-1244	166	41	v	v	NUM
fis-1244	166	42			PROPN
fis-1244	166	43			NOUN
fis-1244	166	44			X
fis-1244	166	45			PROPN
fis-1244	166	46			PROPN
fis-1244	166	47			PROPN
fis-1244	166	48			PROPN
fis-1244	166	49			PROPN
fis-1244	166	50			VERB
fis-1244	166	51			ADJ
fis-1244	167	1			CCONJ
fis-1244	167	2			PRON
fis-1244	167	3			NOUN
fis-1244	167	4			ADP
fis-1244	167	5			PROPN
fis-1244	167	6			PROPN
fis-1244	167	7			PROPN
fis-1244	167	8			PROPN
fis-1244	167	9			ADV
fis-1244	167	10			VERB
fis-1244	167	11			ADJ
fis-1244	167	12			X
fis-1244	167	13			ADJ
fis-1244	167	14			PROPN
fis-1244	167	15			ADP
fis-1244	167	16			PUNCT
fis-1244	167	17			X
fis-1244	167	18			PUNCT
fis-1244	167	19	u	u	NOUN
fis-1244	167	20	e	e	X
fis-1244	167	21	e	e	X
fis-1244	167	22	e	e	X
fis-1244	167	23	e	e	X
fis-1244	167	24	e	e	X
fis-1244	167	25	e	e	X
fis-1244	167	26	e	e	X
fis-1244	167	27	e	e	X
fis-1244	167	28	e	e	X
fis-1244	167	29	e	e	X
fis-1244	167	30	e	e	X
fis-1244	167	31	e	e	X
fis-1244	167	32	e	e	X
fis-1244	167	33	e	e	X
fis-1244	167	34	e	e	X
fis-1244	167	35	e	e	X
fis-1244	167	36	(	(	PUNCT
fis-1244	167	37	33	33	NUM
fis-1244	167	38	)	)	PUNCT
fis-1244	167	39	and	and	CCONJ
fis-1244	167	40	by	by	ADP
fis-1244	167	41	(	(	PUNCT
fis-1244	167	42	20)2	20)2	NUM
fis-1244	167	43	that	that	PRON
fis-1244	167	44	z	z	NOUN
fis-1244	167	45	z	z	NOUN
fis-1244	167	46	b	b	PROPN
fis-1244	167	47	e	e	NOUN
fis-1244	167	48	e	e	PROPN
fis-1244	167	49	;	;	PUNCT
fis-1244	167	50	thus	thus	ADV
fis-1244	167	51	,	,	PUNCT
fis-1244	167	52	in	in	ADP
fis-1244	167	53	view	view	NOUN
fis-1244	167	54	of	of	ADP
fis-1244	167	55	(	(	PUNCT
fis-1244	167	56	30)-(31	30)-(31	NUM
fis-1244	167	57	)	)	PUNCT
fis-1244	167	58	,	,	PUNCT
fis-1244	167	59	condition	condition	NOUN
fis-1244	167	60	(	(	PUNCT
fis-1244	167	61	28)2	28)2	NUM
fis-1244	167	62	immediately	immediately	ADV
fis-1244	167	63	holds	hold	VERB
fis-1244	167	64	.	.	PUNCT
fis-1244	168	1	finally	finally	ADV
fis-1244	168	2	,	,	PUNCT
fis-1244	168	3	by	by	ADP
fis-1244	168	4	evaluating	evaluate	VERB
fis-1244	168	5	the	the	DET
fis-1244	168	6	divergence	divergence	NOUN
fis-1244	168	7	of	of	ADP
fis-1244	168	8	(	(	PUNCT
fis-1244	168	9	30	30	NUM
fis-1244	168	10	)	)	PUNCT
fis-1244	168	11	with	with	ADP
fis-1244	168	12	the	the	DET
fis-1244	168	13	aid	aid	NOUN
fis-1244	168	14	of	of	ADP
fis-1244	168	15	(	(	PUNCT
fis-1244	168	16	20)2	20)2	NUM
fis-1244	168	17	and	and	CCONJ
fis-1244	168	18	(	(	PUNCT
fis-1244	168	19	33	33	NUM
fis-1244	168	20	)	)	PUNCT
fis-1244	168	21	,	,	PUNCT
fis-1244	168	22	after	after	ADP
fis-1244	168	23	some	some	DET
fis-1244	168	24	non	non	ADJ
fis-1244	168	25	-	-	ADJ
fis-1244	168	26	trivial	trivial	ADJ
fis-1244	168	27	calculation	calculation	NOUN
fis-1244	168	28	and	and	CCONJ
fis-1244	168	29	also	also	ADV
fis-1244	168	30	by	by	ADP
fis-1244	168	31	employing	employ	VERB
fis-1244	168	32	separation	separation	NOUN
fis-1244	168	33	of	of	ADP
fis-1244	168	34	variables	variable	NOUN
fis-1244	168	35	allowed	allow	VERB
fis-1244	168	36	by	by	ADP
fis-1244	168	37	the	the	DET
fis-1244	168	38	choice	choice	NOUN
fis-1244	168	39	(	(	PUNCT
fis-1244	168	40	31	31	NUM
fis-1244	168	41	)	)	PUNCT
fis-1244	168	42	of	of	ADP
fis-1244	168	43	the	the	DET
fis-1244	168	44	displacement	displacement	ADJ
fis-1244	168	45	field	field	NOUN
fis-1244	168	46	,	,	PUNCT
fis-1244	168	47	we	we	PRON
fis-1244	168	48	reduce	reduce	VERB
fis-1244	168	49	the	the	DET
fis-1244	168	50	partial	partial	ADJ
fis-1244	168	51	differential	differential	NOUN
fis-1244	168	52	problem	problem	NOUN
fis-1244	168	53	(	(	PUNCT
fis-1244	168	54	26)-(28	26)-(28	NOUN
fis-1244	168	55	)	)	PUNCT
fis-1244	168	56	to	to	ADP
fis-1244	168	57	the	the	DET
fis-1244	168	58	following	follow	VERB
fis-1244	168	59	system	system	NOUN
fis-1244	168	60	of	of	ADP
fis-1244	168	61	three	three	NUM
fis-1244	168	62	homogeneous	homogeneous	ADJ
fis-1244	168	63	second	second	ADJ
fis-1244	168	64	-	-	PUNCT
fis-1244	168	65	order	order	NOUN
fis-1244	168	66	ode	ode	NOUN
fis-1244	168	67	(	(	PUNCT
fis-1244	168	68	see	see	VERB
fis-1244	168	69	also	also	ADV
fis-1244	168	70	(	(	PUNCT
fis-1244	168	71	32	32	NUM
fis-1244	168	72	)	)	PUNCT
fis-1244	168	73	):	):	PUNCT
fis-1244	169	1			PROPN
fis-1244	169	2			SYM
fis-1244	169	3			NOUN
fis-1244	169	4			SYM
fis-1244	169	5			NOUN
fis-1244	169	6			PUNCT
fis-1244	169	7			NOUN
fis-1244	170	1			NOUN
fis-1244	171	1			PUNCT
fis-1244	171	2			NOUN
fis-1244	171	3			PUNCT
fis-1244	171	4			NOUN
fis-1244	171	5			NOUN
fis-1244	171	6			PUNCT
fis-1244	171	7			NOUN
fis-1244	171	8			SYM
fis-1244	171	9			NOUN
fis-1244	171	10			PROPN
fis-1244	171	11	t	t	NOUN
fis-1244	171	12	1	1	NUM
fis-1244	171	13	2	2	NUM
fis-1244	171	14	1	1	NUM
fis-1244	171	15	2	2	NUM
fis-1244	171	16	r	r	NOUN
fis-1244	171	17	,	,	PUNCT
fis-1244	171	18	r	r	NOUN
fis-1244	171	19	,	,	PUNCT
fis-1244	171	20	r	r	NOUN
fis-1244	171	21	,	,	PUNCT
fis-1244	171	22	,	,	PUNCT
fis-1244	171	23	r	r	NOUN
fis-1244	171	24	,	,	PUNCT
fis-1244	171	25	,	,	PUNCT
fis-1244	171	26	r	r	NOUN
fis-1244	171	27	,	,	PUNCT
fis-1244	171	28	,	,	PUNCT
fis-1244	171	29	r	r	NOUN
fis-1244	171	30	,	,	PUNCT
fis-1244	171	31	,	,	PUNCT
fis-1244	171	32	r	r	NOUN
fis-1244	171	33	r	r	NOUN
fis-1244	171	34	r	r	NOUN
fis-1244	171	35	r	r	NOUN
fis-1244	171	36	r	r	NOUN
fis-1244	171	37			ADP
fis-1244	171	38			PROPN
fis-1244	172	1			ADV
fis-1244	172	2			ADJ
fis-1244	172	3			ADP
fis-1244	172	4			ADJ
fis-1244	172	5			ADJ
fis-1244	172	6			ADJ
fis-1244	172	7			VERB
fis-1244	172	8			PUNCT
fis-1244	172	9			PROPN
fis-1244	172	10			ADJ
fis-1244	172	11			VERB
fis-1244	172	12			X
fis-1244	172	13			ADJ
fis-1244	172	14			VERB
fis-1244	172	15			X
fis-1244	172	16			X
fis-1244	172	17			X
fis-1244	172	18			NOUN
fis-1244	172	19			PROPN
fis-1244	173	1			PROPN
fis-1244	174	1			NUM
fis-1244	175	1			NUM
fis-1244	175	2			NOUN
fis-1244	175	3			VERB
fis-1244	175	4	p	p	NOUN
fis-1244	175	5	v	v	ADP
fis-1244	175	6	p	p	NOUN
fis-1244	175	7	r	r	NOUN
fis-1244	175	8	r	r	NOUN
fis-1244	175	9	v	v	NOUN
fis-1244	175	10	r	r	NOUN
fis-1244	175	11	q	q	NOUN
fis-1244	175	12	v	v	NOUN
fis-1244	175	13	v	v	NUM
fis-1244	175	14	v	v	NOUN
fis-1244	175	15	0	0	NUM
fis-1244	175	16	0	0	NUM
fis-1244	176	1	(	(	PUNCT
fis-1244	176	2	34	34	NUM
fis-1244	176	3	)	)	PUNCT
fis-1244	176	4	where	where	SCONJ
fis-1244	176	5			NOUN
fis-1244	176	6	1	1	VERB
fis-1244	176	7	2	2	NUM
fis-1244	176	8	3v	3v	NUM
fis-1244	176	9	,	,	PUNCT
fis-1244	176	10	:	:	PUNCT
fis-1244	176	11	v	v	NOUN
fis-1244	176	12	,	,	PUNCT
fis-1244	176	13	vv	vv	PUNCT
fis-1244	176	14	(	(	PUNCT
fis-1244	176	15	we	we	PRON
fis-1244	176	16	have	have	AUX
fis-1244	176	17	omitted	omit	VERB
fis-1244	176	18	the	the	DET
fis-1244	176	19	dependence	dependence	NOUN
fis-1244	176	20	on	on	ADP
fis-1244	176	21	r	r	NOUN
fis-1244	176	22	)	)	PUNCT
fis-1244	176	23	and	and	CCONJ
fis-1244	176	24			NOUN
fis-1244	176	25			SYM
fis-1244	176	26			NOUN
fis-1244	176	27			SYM
fis-1244	176	28			NOUN
fis-1244	177	1			PROPN
fis-1244	177	2	rrrr	rrrr	PROPN
fis-1244	177	3	rr	rr	NOUN
fis-1244	177	4	r	r	NOUN
fis-1244	177	5	rr	rr	PROPN
fis-1244	177	6	rrr	rrr	NOUN
fis-1244	177	7	rrzz	rrzz	PROPN
fis-1244	177	8	rrr	rrr	NOUN
fis-1244	177	9	r	r	NOUN
fis-1244	177	10	r	r	NOUN
fis-1244	177	11	r	r	NOUN
fis-1244	177	12	rr	rr	NOUN
fis-1244	177	13	rzz	rzz	NOUN
fis-1244	177	14	zrzr	zrzr	PROPN
fis-1244	177	15	zrrz	zrrz	PROPN
fis-1244	177	16	zr	zr	PROPN
fis-1244	177	17	z	z	NOUN
fis-1244	177	18	2	2	NUM
fis-1244	177	19	2	2	NUM
fis-1244	177	20	rzrz	rzrz	NOUN
fis-1244	177	21	r	r	NOUN
fis-1244	177	22	rz	rz	NOUN
fis-1244	178	1	z	z	NOUN
fis-1244	178	2	z	z	NOUN
fis-1244	178	3	r	r	NOUN
fis-1244	178	4	a	a	DET
fis-1244	178	5	r	r	NOUN
fis-1244	178	6	a	a	DET
fis-1244	178	7	0	0	NUM
fis-1244	178	8	a	a	DET
fis-1244	178	9	a	a	DET
fis-1244	178	10	r	r	NOUN
fis-1244	178	11	a	a	DET
fis-1244	178	12	r	r	NOUN
fis-1244	178	13	,	,	PUNCT
fis-1244	178	14	r	r	NOUN
fis-1244	178	15	a	a	DET
fis-1244	178	16	r	r	NOUN
fis-1244	178	17	a	a	DET
fis-1244	178	18	0	0	NUM
fis-1244	178	19	,	,	PUNCT
fis-1244	178	20	r	r	NOUN
fis-1244	178	21	,	,	PUNCT
fis-1244	178	22	,	,	PUNCT
fis-1244	178	23	a	a	DET
fis-1244	178	24	a	a	DET
fis-1244	178	25	r	r	NOUN
fis-1244	178	26	a	a	DET
fis-1244	178	27	0	0	NUM
fis-1244	178	28	0	0	NUM
fis-1244	178	29	r	r	NOUN
fis-1244	178	30	a	a	DET
fis-1244	178	31	r	r	NOUN
fis-1244	178	32	a	a	DET
fis-1244	178	33	r	r	NOUN
fis-1244	178	34	a	a	DET
fis-1244	178	35	0	0	NUM
fis-1244	178	36	1	1	NUM
fis-1244	178	37	1	1	NUM
fis-1244	178	38	a	a	DET
fis-1244	178	39	r	r	NOUN
fis-1244	178	40	a	a	PRON
fis-1244	178	41	a	a	DET
fis-1244	178	42	r	r	NOUN
fis-1244	178	43	a	a	DET
fis-1244	178	44	a	a	DET
fis-1244	178	45	r	r	NOUN
fis-1244	178	46	r	r	NOUN
fis-1244	178	47	r	r	NOUN
fis-1244	178	48	,	,	PUNCT
fis-1244	178	49	,	,	PUNCT
fis-1244	178	50			PROPN
fis-1244	178	51			PROPN
fis-1244	179	1			X
fis-1244	179	2			X
fis-1244	180	1			X
fis-1244	180	2			PROPN
fis-1244	180	3			X
fis-1244	180	4			PROPN
fis-1244	181	1			X
fis-1244	181	2			X
fis-1244	181	3			PROPN
fis-1244	181	4			PROPN
fis-1244	181	5			PROPN
fis-1244	181	6			ADV
fis-1244	182	1			X
fis-1244	183	1			X
fis-1244	183	2			PROPN
fis-1244	184	1			PROPN
fis-1244	184	2			PROPN
fis-1244	184	3			PROPN
fis-1244	184	4			NOUN
fis-1244	184	5			PROPN
fis-1244	185	1			PROPN
fis-1244	185	2			PROPN
fis-1244	186	1			PROPN
fis-1244	187	1			INTJ
fis-1244	188	1			PROPN
fis-1244	188	2			INTJ
fis-1244	189	1			PROPN
fis-1244	190	1			PROPN
fis-1244	190	2			PROPN
fis-1244	190	3			ADJ
fis-1244	190	4			PUNCT
fis-1244	190	5			PROPN
fis-1244	190	6			PROPN
fis-1244	190	7			VERB
fis-1244	190	8			PROPN
fis-1244	191	1			PROPN
fis-1244	191	2			PROPN
fis-1244	192	1			INTJ
fis-1244	193	1			PROPN
fis-1244	193	2			PROPN
fis-1244	194	1			PROPN
fis-1244	194	2			PROPN
fis-1244	195	1			NOUN
fis-1244	195	2			NUM
fis-1244	195	3			PROPN
fis-1244	195	4			NOUN
fis-1244	195	5			NOUN
fis-1244	195	6			NOUN
fis-1244	195	7			VERB
fis-1244	195	8			PROPN
fis-1244	195	9			VERB
fis-1244	195	10			PROPN
fis-1244	195	11			ADJ
fis-1244	195	12			VERB
fis-1244	195	13			PROPN
fis-1244	195	14	p	p	NOUN
fis-1244	195	15	r	r	NOUN
fis-1244	195	16	q	q	NOUN
fis-1244	195	17	z	z	NOUN
fis-1244	195	18	2	2	NUM
fis-1244	195	19	2	2	NUM
fis-1244	195	20	r	r	NOUN
fis-1244	195	21	zrz	zrz	NOUN
fis-1244	195	22	r	r	NOUN
fis-1244	195	23	r	r	NOUN
fis-1244	195	24	z	z	NOUN
fis-1244	195	25	z	z	NOUN
fis-1244	195	26	r	r	NOUN
fis-1244	195	27	zz	zz	NUM
fis-1244	195	28	2	2	NUM
fis-1244	195	29	zz	zz	PROPN
fis-1244	195	30	zzr	zzr	X
fis-1244	195	31	zzzz	zzzz	X
fis-1244	195	32	1	1	NUM
fis-1244	195	33	1	1	NUM
fis-1244	195	34	a	a	DET
fis-1244	195	35	r	r	NOUN
fis-1244	195	36	a	a	DET
fis-1244	195	37	a	a	DET
fis-1244	195	38	r	r	NOUN
fis-1244	195	39	a	a	PRON
fis-1244	195	40	a	a	DET
fis-1244	195	41	r	r	NOUN
fis-1244	195	42	r	r	NOUN
fis-1244	195	43	a	a	PRON
fis-1244	195	44	a	a	DET
fis-1244	195	45	r	r	NOUN
fis-1244	195	46	a	a	PRON
fis-1244	195	47			PUNCT
fis-1244	195	48			X
fis-1244	195	49			X
fis-1244	195	50			PROPN
fis-1244	196	1			PROPN
fis-1244	196	2			PROPN
fis-1244	196	3			PROPN
fis-1244	196	4			PROPN
fis-1244	197	1			PROPN
fis-1244	197	2			NOUN
fis-1244	197	3			PROPN
fis-1244	197	4			PROPN
fis-1244	198	1			PROPN
fis-1244	199	1			PROPN
fis-1244	200	1			PROPN
fis-1244	201	1			PROPN
fis-1244	202	1			PROPN
fis-1244	202	2			PROPN
fis-1244	202	3			VERB
fis-1244	202	4			PROPN
fis-1244	202	5			PROPN
fis-1244	202	6			VERB
fis-1244	202	7			PROPN
fis-1244	202	8			PROPN
fis-1244	203	1			PROPN
fis-1244	204	1			INTJ
fis-1244	205	1			PROPN
fis-1244	205	2			PROPN
fis-1244	206	1			PROPN
fis-1244	206	2			PROPN
fis-1244	206	3			VERB
fis-1244	206	4			PROPN
fis-1244	206	5			PROPN
fis-1244	207	1			PROPN
fis-1244	207	2			NOUN
fis-1244	207	3	(	(	PUNCT
fis-1244	207	4	35	35	NUM
fis-1244	207	5	)	)	PUNCT
fis-1244	207	6	are	be	AUX
fis-1244	207	7	non	non	ADJ
fis-1244	207	8	-	-	ADJ
fis-1244	207	9	constant	constant	ADJ
fis-1244	207	10	matrices	matrix	NOUN
fis-1244	207	11	determined	determine	VERB
fis-1244	207	12	by	by	ADP
fis-1244	207	13	the	the	DET
fis-1244	207	14	components	component	NOUN
fis-1244	207	15			PROPN
fis-1244	207	16			PROPN
fis-1244	207	17			PROPN
fis-1244	207	18	ijhk	ijhk	SYM
fis-1244	208	1	h	h	NOUN
fis-1244	209	1	k	k	NOUN
fis-1244	210	1	i	i	PRON
fis-1244	210	2	j	j	PROPN
fis-1244	210	3	hkij:	hkij:	PROPN
fis-1244	210	4			PROPN
fis-1244	210	5			PROPN
fis-1244	210	6			ADP
fis-1244	210	7	e	e	NUM
fis-1244	210	8	e	e	NOUN
fis-1244	210	9	e	e	X
fis-1244	210	10	e	e	PROPN
fis-1244	210	11			PROPN
fis-1244	210	12			PROPN
fis-1244	210	13	of	of	ADP
fis-1244	210	14	the	the	DET
fis-1244	210	15	symmetric	symmetric	ADJ
fis-1244	210	16	fourthorder	fourthorder	NOUN
fis-1244	210	17	tensor	tensor	NOUN
fis-1244	210	18			PROPN
fis-1244	210	19	in	in	ADP
fis-1244	210	20	the	the	DET
fis-1244	210	21	coordinate	coordinate	NOUN
fis-1244	210	22	system	system	NOUN
fis-1244	210	23	(	(	PUNCT
fis-1244	210	24	r	r	NOUN
fis-1244	210	25	,	,	PUNCT
fis-1244	210	26			NOUN
fis-1244	210	27	,	,	PUNCT
fis-1244	210	28	z	z	NOUN
fis-1244	210	29	)	)	PUNCT
fis-1244	210	30	.	.	PUNCT
fis-1244	211	1	here	here	ADV
fis-1244	211	2	,	,	PUNCT
fis-1244	211	3	we	we	PRON
fis-1244	211	4	do	do	AUX
fis-1244	211	5	not	not	PART
fis-1244	211	6	report	report	VERB
fis-1244	211	7	the	the	DET
fis-1244	211	8	explicit	explicit	ADJ
fis-1244	211	9	expression	expression	NOUN
fis-1244	211	10	of	of	ADP
fis-1244	211	11	such	such	ADJ
fis-1244	211	12	components	component	NOUN
fis-1244	211	13	,	,	PUNCT
fis-1244	211	14	which	which	PRON
fis-1244	211	15	may	may	AUX
fis-1244	211	16	be	be	AUX
fis-1244	211	17	obtained	obtain	VERB
fis-1244	211	18	by	by	ADP
fis-1244	211	19	(	(	PUNCT
fis-1244	211	20	30	30	NUM
fis-1244	211	21	)	)	PUNCT
fis-1244	211	22	,	,	PUNCT
fis-1244	211	23	(	(	PUNCT
fis-1244	211	24	20)2	20)2	NUM
fis-1244	211	25	and	and	CCONJ
fis-1244	211	26	(	(	PUNCT
fis-1244	211	27	26	26	NUM
fis-1244	211	28	)	)	PUNCT
fis-1244	211	29	.	.	PUNCT
fis-1244	212	1	we	we	PRON
fis-1244	212	2	only	only	ADV
fis-1244	212	3	observe	observe	VERB
fis-1244	212	4	that	that	SCONJ
fis-1244	212	5			NOUN
fis-1244	212	6	r	r	NOUN
fis-1244	212	7	,	,	PUNCT
fis-1244	212	8	p	p	PUNCT
fis-1244	212	9	and	and	CCONJ
fis-1244	212	10			PROPN
fis-1244	212	11	r	r	NOUN
fis-1244	212	12	,	,	PUNCT
fis-1244	212	13	,	,	PUNCT
fis-1244	212	14			ADJ
fis-1244	212	15	q	q	PRON
fis-1244	212	16	are	be	AUX
fis-1244	212	17	symmetric	symmetric	ADJ
fis-1244	212	18	,	,	PUNCT
fis-1244	212	19	since	since	SCONJ
fis-1244	212	20			PROPN
fis-1244	212	21	is	be	AUX
fis-1244	212	22	symmetric	symmetric	ADJ
fis-1244	212	23	;	;	PUNCT
fis-1244	212	24	moreover	moreover	ADV
fis-1244	212	25	,	,	PUNCT
fis-1244	212	26	for	for	ADP
fis-1244	212	27	the	the	DET
fis-1244	212	28	constitutive	constitutive	ADJ
fis-1244	212	29	class	class	NOUN
fis-1244	212	30	(	(	PUNCT
fis-1244	212	31	22	22	NUM
fis-1244	212	32	)	)	PUNCT
fis-1244	212	33			NOUN
fis-1244	212	34	r	r	NOUN
fis-1244	212	35	,	,	PUNCT
fis-1244	212	36	p	p	PROPN
fis-1244	212	37	is	be	AUX
fis-1244	212	38	always	always	ADV
fis-1244	212	39	invertible	invertible	ADJ
fis-1244	212	40	.	.	PUNCT
fis-1244	213	1	the	the	DET
fis-1244	213	2	latter	latter	ADJ
fis-1244	213	3	property	property	NOUN
fis-1244	213	4	of	of	ADP
fis-1244	213	5			NOUN
fis-1244	213	6	r	r	NOUN
fis-1244	213	7	,	,	PUNCT
fis-1244	213	8	p	p	PROPN
fis-1244	213	9	is	be	AUX
fis-1244	213	10	crucial	crucial	ADJ
fis-1244	213	11	.	.	PUNCT
fis-1244	214	1	indeed	indeed	ADV
fis-1244	214	2	,	,	PUNCT
fis-1244	214	3	a	a	DET
fis-1244	214	4	common	common	ADJ
fis-1244	214	5	practice	practice	NOUN
fis-1244	214	6	is	be	AUX
fis-1244	214	7	that	that	PRON
fis-1244	214	8	of	of	ADP
fis-1244	214	9	transforming	transform	VERB
fis-1244	214	10	the	the	DET
fis-1244	214	11	set	set	NOUN
fis-1244	214	12	of	of	ADP
fis-1244	214	13	three	three	NUM
fis-1244	214	14	linear	linear	ADJ
fis-1244	214	15	second	second	ADJ
fis-1244	214	16	order	order	NOUN
fis-1244	214	17	ordinary	ordinary	ADJ
fis-1244	214	18	differential	differential	ADJ
fis-1244	214	19	equations	equation	NOUN
fis-1244	214	20	like	like	ADP
fis-1244	214	21	(	(	PUNCT
fis-1244	214	22	34	34	NUM
fis-1244	214	23	)	)	PUNCT
fis-1244	214	24	into	into	ADP
fis-1244	214	25	a	a	DET
fis-1244	214	26	system	system	NOUN
fis-1244	214	27	of	of	ADP
fis-1244	214	28	six	six	NUM
fis-1244	214	29	linear	linear	ADJ
fis-1244	214	30	first	first	ADJ
fis-1244	214	31	order	order	NOUN
fis-1244	214	32	ordinary	ordinary	ADJ
fis-1244	214	33	differential	differential	ADJ
fis-1244	214	34	equations	equation	NOUN
fis-1244	214	35	,	,	PUNCT
fis-1244	214	36	for	for	ADP
fis-1244	214	37	a.	a.	NOUN
fis-1244	214	38	castellano	castellano	PROPN
fis-1244	214	39	et	et	PROPN
fis-1244	214	40	alii	alii	PROPN
fis-1244	214	41	,	,	PUNCT
fis-1244	214	42	frattura	frattura	PROPN
fis-1244	214	43	ed	ed	PROPN
fis-1244	214	44	integrità	integrità	PROPN
fis-1244	214	45	strutturale	strutturale	PROPN
fis-1244	214	46	,	,	PUNCT
fis-1244	214	47	29	29	NUM
fis-1244	214	48	(	(	PUNCT
fis-1244	214	49	2014	2014	NUM
fis-1244	214	50	)	)	PUNCT
fis-1244	214	51	128	128	NUM
fis-1244	214	52	-	-	SYM
fis-1244	214	53	138	138	NUM
fis-1244	214	54	;	;	PUNCT
fis-1244	214	55	doi	doi	NOUN
fis-1244	214	56	:	:	PUNCT
fis-1244	214	57	10.3221	10.3221	NUM
fis-1244	214	58	/	/	SYM
fis-1244	214	59	igf	igf	PROPN
fis-1244	214	60	-	-	PUNCT
fis-1244	214	61	esis.29.12	esis.29.12	PROPN
fis-1244	214	62	135	135	NUM
fis-1244	214	63	which	which	DET
fis-1244	214	64	well	well	ADV
fis-1244	214	65	-	-	PUNCT
fis-1244	214	66	known	know	VERB
fis-1244	214	67	existence	existence	NOUN
fis-1244	214	68	theorems	theorem	NOUN
fis-1244	214	69	and	and	CCONJ
fis-1244	214	70	procedures	procedure	NOUN
fis-1244	214	71	for	for	ADP
fis-1244	214	72	constructing	construct	VERB
fis-1244	214	73	the	the	DET
fis-1244	214	74	solutions	solution	NOUN
fis-1244	214	75	are	be	AUX
fis-1244	214	76	available	available	ADJ
fis-1244	214	77	in	in	ADP
fis-1244	214	78	the	the	DET
fis-1244	214	79	literature	literature	NOUN
fis-1244	214	80	.	.	PUNCT
fis-1244	215	1	with	with	ADP
fis-1244	215	2	this	this	DET
fis-1244	215	3	aim	aim	NOUN
fis-1244	215	4	,	,	PUNCT
fis-1244	215	5	once	once	ADV
fis-1244	215	6	introduced	introduce	VERB
fis-1244	215	7	the	the	DET
fis-1244	215	8	3x3	3x3	NUM
fis-1244	215	9	matrices	matrix	NOUN
fis-1244	215	10			NOUN
fis-1244	215	11			PUNCT
fis-1244	215	12			NOUN
fis-1244	215	13			PUNCT
fis-1244	215	14			NOUN
fis-1244	216	1			NOUN
fis-1244	217	1			PUNCT
fis-1244	217	2			NOUN
fis-1244	217	3			SYM
fis-1244	217	4			NOUN
fis-1244	217	5			SYM
fis-1244	217	6			NOUN
fis-1244	217	7			PUNCT
fis-1244	217	8			NOUN
fis-1244	218	1			NOUN
fis-1244	219	1			PROPN
fis-1244	220	1	1	1	NUM
fis-1244	220	2	1	1	NUM
fis-1244	220	3	t	t	NOUN
fis-1244	220	4	:	:	PUNCT
fis-1244	221	1	r	r	X
fis-1244	221	2	,	,	PUNCT
fis-1244	221	3	r	r	NOUN
fis-1244	221	4	,	,	PUNCT
fis-1244	221	5	,	,	PUNCT
fis-1244	221	6	r	r	NOUN
fis-1244	221	7	,	,	PUNCT
fis-1244	221	8	,	,	PUNCT
fis-1244	221	9	:	:	PUNCT
fis-1244	221	10	r	r	X
fis-1244	221	11	,	,	PUNCT
fis-1244	221	12	r	r	NOUN
fis-1244	221	13	,	,	PUNCT
fis-1244	221	14	r	r	NOUN
fis-1244	221	15	,	,	PUNCT
fis-1244	221	16	,	,	PUNCT
fis-1244	221	17	r	r	NOUN
fis-1244	221	18	,	,	PUNCT
fis-1244	221	19	,	,	PUNCT
fis-1244	221	20			NOUN
fis-1244	221	21			VERB
fis-1244	221	22			ADP
fis-1244	221	23			PROPN
fis-1244	221	24			ADJ
fis-1244	221	25			ADJ
fis-1244	221	26			PROPN
fis-1244	221	27			X
fis-1244	221	28			VERB
fis-1244	221	29			VERB
fis-1244	221	30			SYM
fis-1244	221	31			NUM
fis-1244	221	32			NUM
fis-1244	221	33			PROPN
fis-1244	221	34			ADJ
fis-1244	221	35			ADJ
fis-1244	221	36			ADJ
fis-1244	221	37			VERB
fis-1244	221	38			PUNCT
fis-1244	221	39			PROPN
fis-1244	221	40			X
fis-1244	221	41			NOUN
fis-1244	221	42	t	t	NOUN
fis-1244	221	43	p	p	NOUN
fis-1244	221	44	r	r	NOUN
fis-1244	221	45	q	q	PROPN
fis-1244	222	1	k	k	NOUN
fis-1244	222	2	p	p	X
fis-1244	222	3	p	p	X
fis-1244	222	4	r	r	NOUN
fis-1244	222	5	r	r	NOUN
fis-1244	222	6	(	(	PUNCT
fis-1244	222	7	36	36	NUM
fis-1244	222	8	)	)	PUNCT
fis-1244	222	9	we	we	PRON
fis-1244	222	10	rewrite	rewrite	VERB
fis-1244	222	11	(	(	PUNCT
fis-1244	222	12	34	34	NUM
fis-1244	222	13	)	)	PUNCT
fis-1244	222	14	in	in	ADP
fis-1244	222	15	the	the	DET
fis-1244	222	16	form	form	NOUN
fis-1244	222	17			NOUN
fis-1244	222	18			SYM
fis-1244	222	19			NOUN
fis-1244	222	20			NOUN
fis-1244	222	21	1	1	NUM
fis-1244	222	22	2	2	NUM
fis-1244	222	23	1	1	NUM
fis-1244	222	24	2	2	NUM
fis-1244	222	25	,	,	PUNCT
fis-1244	222	26	r	r	NOUN
fis-1244	222	27	r	r	NOUN
fis-1244	222	28	r	r	NOUN
fis-1244	222	29	r	r	NOUN
fis-1244	222	30	r	r	NOUN
fis-1244	222	31			PROPN
fis-1244	222	32			NOUN
fis-1244	222	33			PROPN
fis-1244	222	34			PROPN
fis-1244	222	35			PROPN
fis-1244	222	36			PUNCT
fis-1244	223	1			NUM
fis-1244	223	2			NUM
fis-1244	223	3			NOUN
fis-1244	223	4	v	v	ADP
fis-1244	223	5	tv	tv	NOUN
fis-1244	223	6	kv	kv	PROPN
fis-1244	223	7	v	v	ADP
fis-1244	223	8	v	v	NOUN
fis-1244	223	9	0	0	NUM
fis-1244	223	10	(	(	PUNCT
fis-1244	223	11	37	37	NUM
fis-1244	223	12	)	)	PUNCT
fis-1244	223	13	then	then	ADV
fis-1244	223	14	,	,	PUNCT
fis-1244	223	15	by	by	ADP
fis-1244	223	16	setting	set	VERB
fis-1244	223	17	6x1	6x1	NUM
fis-1244	223	18	6x6	6x6	NUM
fis-1244	223	19	6x6	6x6	NUM
fis-1244	223	20	6x6	6x6	NUM
fis-1244	223	21	:	:	PUNCT
fis-1244	223	22	,	,	PUNCT
fis-1244	223	23	:	:	PUNCT
fis-1244	223	24	:	:	PUNCT
fis-1244	223	25	,	,	PUNCT
fis-1244	223	26	:	:	PUNCT
fis-1244	223	27			ADP
fis-1244	223	28			VERB
fis-1244	223	29			NOUN
fis-1244	223	30			PROPN
fis-1244	223	31			NUM
fis-1244	223	32			PROPN
fis-1244	223	33			NOUN
fis-1244	224	1			PROPN
fis-1244	224	2			INTJ
fis-1244	224	3			PROPN
fis-1244	224	4			PROPN
fis-1244	224	5			PROPN
fis-1244	225	1			PROPN
fis-1244	225	2			PROPN
fis-1244	225	3			X
fis-1244	225	4			PROPN
fis-1244	225	5			NOUN
fis-1244	226	1			NOUN
fis-1244	226	2			NOUN
fis-1244	226	3			NOUN
fis-1244	226	4			PROPN
fis-1244	227	1			PROPN
fis-1244	227	2			PROPN
fis-1244	228	1			PROPN
fis-1244	228	2			NOUN
fis-1244	229	1			PROPN
fis-1244	230	1			PROPN
fis-1244	231	1			INTJ
fis-1244	232	1			PROPN
fis-1244	232	2			PROPN
fis-1244	233	1			ADJ
fis-1244	233	2			PROPN
fis-1244	233	3			NUM
fis-1244	233	4			NOUN
fis-1244	233	5	v	v	VERB
fis-1244	233	6	o	o	NOUN
fis-1244	234	1	i	i	PRON
fis-1244	234	2	y	y	PROPN
fis-1244	235	1	a	a	DET
fis-1244	235	2	v	v	NOUN
fis-1244	235	3	t	t	X
fis-1244	236	1	k	k	NOUN
fis-1244	237	1	i	i	PRON
fis-1244	237	2	o	o	NOUN
fis-1244	238	1	o	o	X
fis-1244	238	2	o	o	X
fis-1244	238	3	m	m	VERB
fis-1244	238	4	n	n	ADV
fis-1244	239	1	o	o	NOUN
fis-1244	239	2	o	o	X
fis-1244	240	1	i	i	PRON
fis-1244	240	2	o	o	X
fis-1244	240	3	(	(	PUNCT
fis-1244	240	4	38	38	NUM
fis-1244	240	5	)	)	PUNCT
fis-1244	240	6	we	we	PRON
fis-1244	240	7	easily	easily	ADV
fis-1244	240	8	see	see	VERB
fis-1244	240	9	that	that	SCONJ
fis-1244	240	10	(	(	PUNCT
fis-1244	240	11	37	37	NUM
fis-1244	240	12	)	)	PUNCT
fis-1244	240	13	is	be	AUX
fis-1244	240	14	equivalent	equivalent	ADJ
fis-1244	240	15	to	to	ADP
fis-1244	240	16	the	the	DET
fis-1244	240	17	linear	linear	ADJ
fis-1244	240	18	homogeneous	homogeneous	ADJ
fis-1244	240	19	first	first	ADJ
fis-1244	240	20	order	order	NOUN
fis-1244	240	21	ode	ode	ADJ
fis-1244	240	22	boundary	boundary	ADJ
fis-1244	240	23	-	-	PUNCT
fis-1244	240	24	value	value	NOUN
fis-1244	240	25	problem	problem	NOUN
fis-1244	240	26			NOUN
fis-1244	240	27			PUNCT
fis-1244	240	28			NOUN
fis-1244	240	29			PUNCT
fis-1244	240	30			NOUN
fis-1244	240	31			NOUN
fis-1244	241	1	1	1	NUM
fis-1244	241	2	2	2	NUM
fis-1244	241	3	1	1	NUM
fis-1244	241	4	2	2	NUM
fis-1244	241	5	6x1	6x1	NUM
fis-1244	241	6	r	r	NOUN
fis-1244	241	7	for	for	ADP
fis-1244	241	8	r	r	NOUN
fis-1244	241	9	r	r	NOUN
fis-1244	241	10	r	r	NOUN
fis-1244	241	11	r	r	NOUN
fis-1244	241	12	r	r	NOUN
fis-1244	241	13			NOUN
fis-1244	241	14			NOUN
fis-1244	241	15			NUM
fis-1244	241	16			PROPN
fis-1244	241	17			NOUN
fis-1244	242	1			NOUN
fis-1244	242	2			PRON
fis-1244	242	3			NOUN
fis-1244	242	4			NOUN
fis-1244	242	5			NUM
fis-1244	242	6			NOUN
fis-1244	242	7			NUM
fis-1244	242	8			NUM
fis-1244	242	9			PROPN
fis-1244	242	10			VERB
fis-1244	242	11	y	y	PROPN
fis-1244	242	12	a	a	X
fis-1244	242	13	y	y	X
fis-1244	242	14	my	my	PRON
fis-1244	242	15	ny	ny	PROPN
fis-1244	242	16	0	0	NUM
fis-1244	242	17	0	0	NUM
fis-1244	242	18	(	(	PUNCT
fis-1244	242	19	39	39	NUM
fis-1244	242	20	)	)	PUNCT
fis-1244	242	21	observe	observe	VERB
fis-1244	242	22	that	that	SCONJ
fis-1244	242	23	in	in	ADP
fis-1244	242	24	the	the	DET
fis-1244	242	25	notation	notation	NOUN
fis-1244	242	26	above	above	ADV
fis-1244	242	27	we	we	PRON
fis-1244	242	28	have	have	AUX
fis-1244	242	29	dropped	drop	VERB
fis-1244	242	30	the	the	DET
fis-1244	242	31	dependence	dependence	NOUN
fis-1244	242	32	of	of	ADP
fis-1244	242	33	the	the	DET
fis-1244	242	34	basic	basic	ADJ
fis-1244	242	35	parameters	parameter	NOUN
fis-1244	242	36	(	(	PUNCT
fis-1244	242	37	the	the	DET
fis-1244	242	38	inner	inner	ADJ
fis-1244	242	39	and	and	CCONJ
fis-1244	242	40	outer	outer	ADJ
fis-1244	242	41	radii	radius	NOUN
fis-1244	242	42	,	,	PUNCT
fis-1244	242	43	the	the	DET
fis-1244	242	44	height	height	NOUN
fis-1244	242	45	of	of	ADP
fis-1244	242	46	the	the	DET
fis-1244	242	47	tube	tube	NOUN
fis-1244	242	48	,	,	PUNCT
fis-1244	242	49	the	the	DET
fis-1244	242	50	material	material	NOUN
fis-1244	242	51	moduli	modulus	NOUN
fis-1244	242	52	and	and	CCONJ
fis-1244	242	53	the	the	DET
fis-1244	242	54	angular	angular	ADJ
fis-1244	242	55	displacement	displacement	NOUN
fis-1244	242	56			X
fis-1244	242	57	)	)	PUNCT
fis-1244	242	58	,	,	PUNCT
fis-1244	242	59	usually	usually	ADV
fis-1244	242	60	assumed	assume	VERB
fis-1244	242	61	as	as	ADP
fis-1244	242	62	prescribed	prescribe	VERB
fis-1244	242	63	.	.	PUNCT
fis-1244	243	1	we	we	PRON
fis-1244	243	2	only	only	ADV
fis-1244	243	3	maintain	maintain	VERB
fis-1244	243	4	explicit	explicit	ADJ
fis-1244	243	5	the	the	DET
fis-1244	243	6	dependence	dependence	NOUN
fis-1244	243	7	on	on	ADP
fis-1244	243	8	r	r	NOUN
fis-1244	243	9	,	,	PUNCT
fis-1244	243	10	in	in	ADP
fis-1244	243	11	order	order	NOUN
fis-1244	243	12	to	to	PART
fis-1244	243	13	emphasize	emphasize	VERB
fis-1244	243	14	that	that	SCONJ
fis-1244	243	15	the	the	DET
fis-1244	243	16	linear	linear	ADJ
fis-1244	243	17	ode	ode	ADJ
fis-1244	243	18	system	system	NOUN
fis-1244	243	19	is	be	AUX
fis-1244	243	20	non	non	ADJ
fis-1244	243	21	-	-	ADJ
fis-1244	243	22	autonomous	autonomous	ADJ
fis-1244	243	23	.	.	PUNCT
fis-1244	244	1	now	now	ADV
fis-1244	244	2	,	,	PUNCT
fis-1244	244	3	by	by	ADP
fis-1244	244	4	following	follow	VERB
fis-1244	244	5	elementary	elementary	ADJ
fis-1244	244	6	results	result	NOUN
fis-1244	244	7	on	on	ADP
fis-1244	244	8	systems	system	NOUN
fis-1244	244	9	of	of	ADP
fis-1244	244	10	linear	linear	PROPN
fis-1244	244	11	ode	ode	PROPN
fis-1244	244	12	's	's	PART
fis-1244	244	13	,	,	PUNCT
fis-1244	244	14	we	we	PRON
fis-1244	244	15	may	may	AUX
fis-1244	244	16	write	write	VERB
fis-1244	244	17	a	a	DET
fis-1244	244	18	solution	solution	NOUN
fis-1244	244	19	of	of	ADP
fis-1244	244	20	(	(	PUNCT
fis-1244	244	21	39	39	NUM
fis-1244	244	22	)	)	PUNCT
fis-1244	244	23	in	in	ADP
fis-1244	244	24	the	the	DET
fis-1244	244	25	form	form	NOUN
fis-1244	244	26	(	(	PUNCT
fis-1244	244	27	see	see	VERB
fis-1244	244	28	(	(	PUNCT
fis-1244	244	29	38)1	38)1	NUM
fis-1244	244	30	and	and	CCONJ
fis-1244	244	31	(	(	PUNCT
fis-1244	244	32	37)2	37)2	NUM
fis-1244	244	33	)	)	PUNCT
fis-1244	244	34			NOUN
fis-1244	244	35			PUNCT
fis-1244	244	36			NOUN
fis-1244	244	37			SYM
fis-1244	244	38			NOUN
fis-1244	244	39			SYM
fis-1244	244	40			NOUN
fis-1244	244	41			SYM
fis-1244	244	42			NOUN
fis-1244	244	43	1	1	NOUN
fis-1244	244	44	1	1	NUM
fis-1244	244	45	6x1	6x1	NUM
fis-1244	244	46	r	r	NOUN
fis-1244	244	47	r	r	NOUN
fis-1244	244	48	r	r	NOUN
fis-1244	244	49	r	r	NOUN
fis-1244	244	50	r	r	NOUN
fis-1244	244	51			NOUN
fis-1244	245	1			PROPN
fis-1244	245	2			PROPN
fis-1244	245	3			PROPN
fis-1244	246	1			NUM
fis-1244	246	2			NOUN
fis-1244	246	3			PROPN
fis-1244	246	4			PROPN
fis-1244	246	5			PROPN
fis-1244	247	1	y	y	PROPN
fis-1244	247	2	y	y	PROPN
fis-1244	247	3	y	y	PROPN
fis-1244	247	4	y	y	PROPN
fis-1244	247	5	v	v	NOUN
fis-1244	247	6	0	0	NUM
fis-1244	247	7	(	(	PUNCT
fis-1244	247	8	40	40	NUM
fis-1244	247	9	)	)	PUNCT
fis-1244	247	10	where	where	SCONJ
fis-1244	247	11			NOUN
fis-1244	247	12	1ry	1ry	PRON
fis-1244	247	13	is	be	AUX
fis-1244	247	14	an	an	DET
fis-1244	247	15	unknown	unknown	ADJ
fis-1244	247	16	constant	constant	ADJ
fis-1244	247	17	vector	vector	NOUN
fis-1244	247	18	and	and	CCONJ
fis-1244	247	19			NOUN
fis-1244	248	1			SYM
fis-1244	248	2			NOUN
fis-1244	248	3			SYM
fis-1244	248	4			NOUN
fis-1244	248	5			SYM
fis-1244	248	6			NOUN
fis-1244	248	7			SYM
fis-1244	248	8			NOUN
fis-1244	248	9			SYM
fis-1244	248	10			NOUN
fis-1244	248	11			PUNCT
fis-1244	248	12			NOUN
fis-1244	248	13			NOUN
fis-1244	248	14	1	1	NUM
fis-1244	248	15	2	2	NUM
fis-1244	248	16	1	1	NUM
fis-1244	248	17	2	2	NUM
fis-1244	248	18	1	1	NUM
fis-1244	248	19	1	1	NUM
fis-1244	248	20	2	2	NUM
fis-1244	248	21	6x66x6	6x66x6	NUM
fis-1244	248	22	r	r	NOUN
fis-1244	248	23	r	r	NOUN
fis-1244	248	24	r	r	NOUN
fis-1244	248	25	,	,	PUNCT
fis-1244	248	26	with	with	ADP
fis-1244	248	27	det	det	PROPN
fis-1244	248	28	r	r	NOUN
fis-1244	248	29	0	0	NUM
fis-1244	248	30	,	,	PUNCT
fis-1244	248	31	for	for	ADP
fis-1244	248	32	r	r	NOUN
fis-1244	248	33	<	<	X
fis-1244	248	34	r	r	NOUN
fis-1244	248	35	<	<	X
fis-1244	248	36	r	r	NOUN
fis-1244	248	37	and	and	CCONJ
fis-1244	248	38	r	r	NOUN
fis-1244	248	39	r	r	NOUN
fis-1244	248	40	r	r	NOUN
fis-1244	248	41			NOUN
fis-1244	248	42			PROPN
fis-1244	248	43			NOUN
fis-1244	248	44			PROPN
fis-1244	248	45			PROPN
fis-1244	248	46			PROPN
fis-1244	249	1			PROPN
fis-1244	249	2			PROPN
fis-1244	250	1			PROPN
fis-1244	251	1			PROPN
fis-1244	252	1			PROPN
fis-1244	253	1			VERB
fis-1244	254	1			PROPN
fis-1244	254	2			CCONJ
fis-1244	254	3			PROPN
fis-1244	254	4			NOUN
fis-1244	254	5			NOUN
fis-1244	254	6	i	i	PRON
fis-1244	254	7	ou	ou	VERB
fis-1244	254	8	u	u	NOUN
fis-1244	254	9	y	y	PROPN
fis-1244	254	10	y	y	PROPN
fis-1244	254	11	y	y	PROPN
fis-1244	254	12	o	o	X
fis-1244	254	13	iu	iu	ADP
fis-1244	254	14	u	u	PROPN
fis-1244	254	15	(	(	PUNCT
fis-1244	254	16	41	41	NUM
fis-1244	254	17	)	)	PUNCT
fis-1244	254	18	is	be	AUX
fis-1244	254	19	a	a	DET
fis-1244	254	20	particular	particular	ADJ
fis-1244	254	21	fundamental	fundamental	ADJ
fis-1244	254	22	matrix	matrix	NOUN
fis-1244	254	23	solution	solution	NOUN
fis-1244	254	24	for	for	ADP
fis-1244	254	25	(	(	PUNCT
fis-1244	254	26	39)1	39)1	NUM
fis-1244	254	27	,	,	PUNCT
fis-1244	254	28	usually	usually	ADV
fis-1244	254	29	called	call	VERB
fis-1244	254	30	matricant	matricant	NOUN
fis-1244	254	31	.	.	PUNCT
fis-1244	255	1	then	then	ADV
fis-1244	255	2	,	,	PUNCT
fis-1244	255	3	substitution	substitution	NOUN
fis-1244	255	4	of	of	ADP
fis-1244	255	5	(	(	PUNCT
fis-1244	255	6	40	40	NUM
fis-1244	255	7	)	)	PUNCT
fis-1244	255	8	into	into	ADP
fis-1244	255	9	(	(	PUNCT
fis-1244	255	10	39)2	39)2	NUM
fis-1244	255	11	yields	yield	VERB
fis-1244	255	12			NOUN
fis-1244	255	13			SYM
fis-1244	255	14			NOUN
fis-1244	255	15			SYM
fis-1244	255	16			NOUN
fis-1244	255	17	1	1	VERB
fis-1244	255	18	2	2	NUM
fis-1244	255	19	1r	1r	NUM
fis-1244	255	20	r	r	NOUN
fis-1244	255	21	r	r	NOUN
fis-1244	255	22			NOUN
fis-1244	255	23			ADJ
fis-1244	255	24			ADJ
fis-1244	255	25			PROPN
fis-1244	255	26			NOUN
fis-1244	256	1			NOUN
fis-1244	256	2			NOUN
fis-1244	256	3			PROPN
fis-1244	256	4			NUM
fis-1244	256	5			PROPN
fis-1244	256	6			PROPN
fis-1244	256	7	0	0	NUM
fis-1244	257	1	my	my	PRON
fis-1244	257	2	ny	ny	NOUN
fis-1244	257	3	y	y	PROPN
fis-1244	257	4	0	0	NUM
fis-1244	257	5	(	(	PUNCT
fis-1244	257	6	42	42	NUM
fis-1244	257	7	)	)	PUNCT
fis-1244	257	8	which	which	PRON
fis-1244	257	9	,	,	PUNCT
fis-1244	257	10	in	in	ADP
fis-1244	257	11	view	view	NOUN
fis-1244	257	12	of	of	ADP
fis-1244	257	13	(	(	PUNCT
fis-1244	257	14	38)3	38)3	NUM
fis-1244	257	15	-	-	SYM
fis-1244	257	16	4	4	NUM
fis-1244	257	17	,	,	PUNCT
fis-1244	257	18	(	(	PUNCT
fis-1244	257	19	41	41	NUM
fis-1244	257	20	)	)	PUNCT
fis-1244	257	21	and	and	CCONJ
fis-1244	257	22	(	(	PUNCT
fis-1244	257	23	40	40	NUM
fis-1244	257	24	)	)	PUNCT
fis-1244	257	25	,	,	PUNCT
fis-1244	257	26	is	be	AUX
fis-1244	257	27	equivalent	equivalent	ADJ
fis-1244	257	28	to	to	ADP
fis-1244	257	29	the	the	DET
fis-1244	257	30	homogeneous	homogeneous	ADJ
fis-1244	257	31	system	system	NOUN
fis-1244	257	32	of	of	ADP
fis-1244	257	33	three	three	NUM
fis-1244	257	34	algebraic	algebraic	ADJ
fis-1244	257	35	equations	equation	NOUN
fis-1244	257	36			NOUN
fis-1244	257	37			SYM
fis-1244	257	38			NOUN
fis-1244	257	39	2	2	ADJ
fis-1244	257	40	2	2	NUM
fis-1244	257	41	1r	1r	NUM
fis-1244	257	42	r	r	NOUN
fis-1244	257	43	u	u	PUNCT
fis-1244	257	44	v	v	NOUN
fis-1244	257	45	0	0	NUM
fis-1244	257	46	(	(	PUNCT
fis-1244	257	47	43	43	NUM
fis-1244	257	48	)	)	PUNCT
fis-1244	257	49	for	for	ADP
fis-1244	257	50	which	which	PRON
fis-1244	257	51	non	non	ADJ
fis-1244	257	52	-	-	ADJ
fis-1244	257	53	trivial	trivial	ADJ
fis-1244	257	54	solution	solution	NOUN
fis-1244	257	55			PROPN
fis-1244	257	56	1rv	1rv	PUNCT
fis-1244	257	57	0	0	PROPN
fis-1244	257	58			PROPN
fis-1244	257	59	are	be	AUX
fis-1244	257	60	possible	possible	ADJ
fis-1244	257	61	if	if	SCONJ
fis-1244	257	62	and	and	CCONJ
fis-1244	257	63	only	only	ADV
fis-1244	257	64	if	if	SCONJ
fis-1244	257	65			NOUN
fis-1244	257	66	2	2	ADP
fis-1244	257	67	2det	2det	NUM
fis-1244	257	68	r	r	NOUN
fis-1244	257	69	0u	0u	NOUN
fis-1244	257	70	(	(	PUNCT
fis-1244	257	71	44	44	NUM
fis-1244	257	72	)	)	PUNCT
fis-1244	257	73	a.	a.	NOUN
fis-1244	257	74	castellano	castellano	PROPN
fis-1244	257	75	et	et	PROPN
fis-1244	257	76	alii	alii	PROPN
fis-1244	257	77	,	,	PUNCT
fis-1244	257	78	frattura	frattura	PROPN
fis-1244	257	79	ed	ed	PROPN
fis-1244	257	80	integrità	integrità	PROPN
fis-1244	257	81	strutturale	strutturale	PROPN
fis-1244	257	82	,	,	PUNCT
fis-1244	257	83	29	29	NUM
fis-1244	257	84	(	(	PUNCT
fis-1244	257	85	2014	2014	NUM
fis-1244	257	86	)	)	PUNCT
fis-1244	257	87	128	128	NUM
fis-1244	257	88	-	-	SYM
fis-1244	257	89	138	138	NUM
fis-1244	257	90	;	;	PUNCT
fis-1244	257	91	doi	doi	NOUN
fis-1244	257	92	:	:	PUNCT
fis-1244	257	93	10.3221	10.3221	NUM
fis-1244	257	94	/	/	SYM
fis-1244	257	95	igf	igf	PROPN
fis-1244	257	96	-	-	PUNCT
fis-1244	257	97	esis.29.12	esis.29.12	PROPN
fis-1244	257	98	136	136	NUM
fis-1244	257	99	finally	finally	ADV
fis-1244	257	100	,	,	PUNCT
fis-1244	257	101	a	a	DET
fis-1244	257	102	solution	solution	NOUN
fis-1244	257	103	of	of	ADP
fis-1244	257	104	the	the	DET
fis-1244	257	105	primary	primary	ADJ
fis-1244	257	106	ode	ode	PROPN
fis-1244	257	107	problem	problem	NOUN
fis-1244	257	108	(	(	PUNCT
fis-1244	257	109	34	34	NUM
fis-1244	257	110	)	)	PUNCT
fis-1244	257	111	can	can	AUX
fis-1244	257	112	be	be	AUX
fis-1244	257	113	written	write	VERB
fis-1244	257	114	in	in	ADP
fis-1244	257	115	the	the	DET
fis-1244	257	116	following	follow	VERB
fis-1244	257	117	form	form	NOUN
fis-1244	257	118			NOUN
fis-1244	258	1			SYM
fis-1244	258	2			NOUN
fis-1244	258	3			SYM
fis-1244	258	4			NOUN
fis-1244	258	5	2	2	NOUN
fis-1244	258	6	1r	1r	NUM
fis-1244	258	7	r	r	NOUN
fis-1244	258	8	rv	rv	NOUN
fis-1244	258	9	u	u	NOUN
fis-1244	258	10	v	v	X
fis-1244	258	11	(	(	PUNCT
fis-1244	258	12	45	45	NUM
fis-1244	258	13	)	)	PUNCT
fis-1244	258	14	which	which	PRON
fis-1244	258	15	clearly	clearly	ADV
fis-1244	258	16	satisfies	satisfy	VERB
fis-1244	258	17	the	the	DET
fis-1244	258	18	boundary	boundary	ADJ
fis-1244	258	19	conditions	condition	NOUN
fis-1244	258	20	(	(	PUNCT
fis-1244	258	21	34)2	34)2	NUM
fis-1244	258	22	(	(	PUNCT
fis-1244	258	23	see	see	VERB
fis-1244	258	24	(	(	PUNCT
fis-1244	258	25	41	41	NUM
fis-1244	258	26	)	)	PUNCT
fis-1244	258	27	and	and	CCONJ
fis-1244	258	28	(	(	PUNCT
fis-1244	258	29	43	43	NUM
fis-1244	258	30	)	)	PUNCT
fis-1244	258	31	)	)	PUNCT
fis-1244	258	32	.	.	PUNCT
fis-1244	259	1	the	the	DET
fis-1244	259	2	above	above	ADJ
fis-1244	259	3	analysis	analysis	NOUN
fis-1244	259	4	shows	show	VERB
fis-1244	259	5	that	that	SCONJ
fis-1244	259	6	the	the	DET
fis-1244	259	7	possibility	possibility	NOUN
fis-1244	259	8	of	of	ADP
fis-1244	259	9	determining	determine	VERB
fis-1244	259	10	non	non	ADJ
fis-1244	259	11	-	-	ADJ
fis-1244	259	12	trivial	trivial	ADJ
fis-1244	259	13	solutions	solution	NOUN
fis-1244	259	14	for	for	ADP
fis-1244	259	15	the	the	DET
fis-1244	259	16	bifurcation	bifurcation	NOUN
fis-1244	259	17	differential	differential	NOUN
fis-1244	259	18	problem	problem	NOUN
fis-1244	259	19	(	(	PUNCT
fis-1244	259	20	34	34	NUM
fis-1244	259	21	)	)	PUNCT
fis-1244	259	22	is	be	AUX
fis-1244	259	23	strictly	strictly	ADV
fis-1244	259	24	related	relate	VERB
fis-1244	259	25	to	to	ADP
fis-1244	259	26	the	the	DET
fis-1244	259	27	knowledge	knowledge	NOUN
fis-1244	259	28	of	of	ADP
fis-1244	259	29	the	the	DET
fis-1244	259	30	3x3	3x3	NUM
fis-1244	259	31	matrix	matrix	NOUN
fis-1244	259	32			NOUN
fis-1244	259	33	2	2	ADP
fis-1244	259	34	ru	ru	PROPN
fis-1244	259	35	,	,	PUNCT
fis-1244	259	36	which	which	PRON
fis-1244	259	37	represents	represent	VERB
fis-1244	259	38	the	the	DET
fis-1244	259	39	“	"	PUNCT
fis-1244	259	40	north	north	NOUN
fis-1244	259	41	-	-	PUNCT
fis-1244	259	42	east	east	NOUN
fis-1244	259	43	”	"	PUNCT
fis-1244	259	44	block	block	NOUN
fis-1244	259	45	of	of	ADP
fis-1244	259	46	the	the	DET
fis-1244	259	47	6x6	6x6	NUM
fis-1244	259	48	matricant	matricant	NOUN
fis-1244	259	49	(	(	PUNCT
fis-1244	259	50	41	41	NUM
fis-1244	259	51	)	)	PUNCT
fis-1244	259	52	of	of	ADP
fis-1244	259	53	the	the	DET
fis-1244	259	54	cauchy	cauchy	ADJ
fis-1244	259	55	initial	initial	ADJ
fis-1244	259	56	-	-	PUNCT
fis-1244	259	57	value	value	NOUN
fis-1244	259	58	problem	problem	NOUN
fis-1244	259	59			NOUN
fis-1244	259	60			PUNCT
fis-1244	259	61			NOUN
fis-1244	259	62			SYM
fis-1244	259	63			NOUN
fis-1244	259	64			PUNCT
fis-1244	259	65			NOUN
fis-1244	259	66			NOUN
fis-1244	259	67	1	1	NUM
fis-1244	259	68	2	2	NUM
fis-1244	259	69	1	1	NUM
fis-1244	259	70	6x6	6x6	NUM
fis-1244	259	71	r	r	NOUN
fis-1244	259	72	r	r	NOUN
fis-1244	259	73	r	r	NOUN
fis-1244	259	74	for	for	ADP
fis-1244	259	75	r	r	NOUN
fis-1244	259	76	r	r	NOUN
fis-1244	259	77	r	r	NOUN
fis-1244	259	78	r	r	NOUN
fis-1244	259	79			NOUN
fis-1244	259	80			NOUN
fis-1244	259	81			ADJ
fis-1244	259	82			PROPN
fis-1244	259	83			NUM
fis-1244	260	1			PROPN
fis-1244	260	2			PROPN
fis-1244	260	3			PROPN
fis-1244	260	4			PROPN
fis-1244	260	5			PROPN
fis-1244	260	6			PROPN
fis-1244	260	7			PROPN
fis-1244	260	8	y	y	PROPN
fis-1244	260	9	a	a	PRON
fis-1244	260	10	y	y	NOUN
fis-1244	261	1	i	i	PRON
fis-1244	261	2	o	o	VERB
fis-1244	262	1	y	y	INTJ
fis-1244	262	2	o	o	INTJ
fis-1244	263	1	i	i	PRON
fis-1244	263	2	(	(	PUNCT
fis-1244	263	3	46	46	NUM
fis-1244	263	4	)	)	PUNCT
fis-1244	263	5	since	since	SCONJ
fis-1244	263	6	(	(	PUNCT
fis-1244	263	7	46	46	NUM
fis-1244	263	8	)	)	PUNCT
fis-1244	263	9	has	have	VERB
fis-1244	263	10	the	the	DET
fis-1244	263	11	same	same	ADJ
fis-1244	263	12	structure	structure	NOUN
fis-1244	263	13	of	of	ADP
fis-1244	263	14	the	the	DET
fis-1244	263	15	cauchy	cauchy	ADJ
fis-1244	263	16	initial	initial	ADJ
fis-1244	263	17	-	-	PUNCT
fis-1244	263	18	value	value	NOUN
fis-1244	263	19	problem	problem	NOUN
fis-1244	263	20	(	(	PUNCT
fis-1244	263	21	1	1	NUM
fis-1244	263	22	)	)	PUNCT
fis-1244	263	23	,	,	PUNCT
fis-1244	263	24	in	in	ADP
fis-1244	263	25	the	the	DET
fis-1244	263	26	following	following	NOUN
fis-1244	263	27	we	we	PRON
fis-1244	263	28	illustrate	illustrate	VERB
fis-1244	263	29	a	a	DET
fis-1244	263	30	strategy	strategy	NOUN
fis-1244	263	31	based	base	VERB
fis-1244	263	32	on	on	ADP
fis-1244	263	33	the	the	DET
fis-1244	263	34	magnus	magnus	PROPN
fis-1244	263	35	method	method	NOUN
fis-1244	263	36	for	for	ADP
fis-1244	263	37	determining	determine	VERB
fis-1244	263	38	the	the	DET
fis-1244	263	39	solution	solution	NOUN
fis-1244	263	40	of	of	ADP
fis-1244	263	41	(	(	PUNCT
fis-1244	263	42	46	46	NUM
fis-1244	263	43	)	)	PUNCT
fis-1244	263	44	.	.	PUNCT
fis-1244	264	1	a	a	DET
fis-1244	264	2	strategy	strategy	NOUN
fis-1244	264	3	for	for	ADP
fis-1244	264	4	determining	determine	VERB
fis-1244	264	5	the	the	DET
fis-1244	264	6	bifurcating	bifurcating	NOUN
fis-1244	264	7	load	load	NOUN
fis-1244	264	8	through	through	ADP
fis-1244	264	9	the	the	DET
fis-1244	264	10	magnus	magnus	PROPN
fis-1244	264	11	method	method	NOUN
fis-1244	264	12	the	the	DET
fis-1244	264	13	theoretical	theoretical	ADJ
fis-1244	264	14	preliminaries	preliminary	NOUN
fis-1244	264	15	in	in	ADP
fis-1244	264	16	an	an	DET
fis-1244	264	17	overview	overview	NOUN
fis-1244	264	18	of	of	ADP
fis-1244	264	19	geometric	geometric	ADJ
fis-1244	264	20	numerical	numerical	ADJ
fis-1244	264	21	integrators	integrator	NOUN
fis-1244	264	22	with	with	ADP
fis-1244	264	23	special	special	ADJ
fis-1244	264	24	reference	reference	NOUN
fis-1244	264	25	to	to	ADP
fis-1244	264	26	the	the	DET
fis-1244	264	27	magnus	magnus	PROPN
fis-1244	264	28	expansion	expansion	NOUN
fis-1244	264	29	combined	combine	VERB
fis-1244	264	30	with	with	ADP
fis-1244	264	31	the	the	DET
fis-1244	264	32	bifurcation	bifurcation	NOUN
fis-1244	264	33	analysis	analysis	NOUN
fis-1244	264	34	of	of	ADP
fis-1244	264	35	subsections	subsection	NOUN
fis-1244	264	36	the	the	DET
fis-1244	264	37	fundamental	fundamental	ADJ
fis-1244	264	38	azimuthal	azimuthal	NOUN
fis-1244	264	39	shear	shear	NOUN
fis-1244	264	40	equilibrium	equilibrium	NOUN
fis-1244	264	41	deformation	deformation	NOUN
fis-1244	264	42	periodic	periodic	ADJ
fis-1244	264	43	twist	twist	NOUN
fis-1244	264	44	-	-	PUNCT
fis-1244	264	45	like	like	ADJ
fis-1244	264	46	bifurcations	bifurcation	NOUN
fis-1244	264	47	allow	allow	VERB
fis-1244	264	48	us	we	PRON
fis-1244	264	49	to	to	PART
fis-1244	264	50	describe	describe	VERB
fis-1244	264	51	a	a	DET
fis-1244	264	52	strategy	strategy	NOUN
fis-1244	264	53	for	for	ADP
fis-1244	264	54	determining	determine	VERB
fis-1244	264	55	the	the	DET
fis-1244	264	56	critical	critical	ADJ
fis-1244	264	57	value	value	NOUN
fis-1244	264	58	cr	cr	NOUN
fis-1244	264	59	of	of	ADP
fis-1244	264	60	the	the	DET
fis-1244	264	61	primary	primary	ADJ
fis-1244	264	62	angular	angular	ADJ
fis-1244	264	63	displacement	displacement	NOUN
fis-1244	264	64	,	,	PUNCT
fis-1244	264	65	that	that	PRON
fis-1244	264	66	is	be	AUX
fis-1244	264	67	the	the	DET
fis-1244	264	68	lowest	low	ADJ
fis-1244	264	69	value	value	NOUN
fis-1244	264	70	of	of	ADP
fis-1244	264	71	the	the	DET
fis-1244	264	72	angle	angle	NOUN
fis-1244	264	73			X
fis-1244	264	74	for	for	ADP
fis-1244	264	75	which	which	PRON
fis-1244	264	76	the	the	DET
fis-1244	264	77	tube	tube	NOUN
fis-1244	264	78	may	may	AUX
fis-1244	264	79	support	support	VERB
fis-1244	264	80	(	(	PUNCT
fis-1244	264	81	during	during	ADP
fis-1244	264	82	a	a	DET
fis-1244	264	83	loading	loading	NOUN
fis-1244	264	84	process	process	NOUN
fis-1244	264	85	)	)	PUNCT
fis-1244	264	86	a	a	DET
fis-1244	264	87	non	non	ADJ
fis-1244	264	88	-	-	ADJ
fis-1244	264	89	trivial	trivial	ADJ
fis-1244	264	90	twist	twist	NOUN
fis-1244	264	91	-	-	PUNCT
fis-1244	264	92	like	like	ADJ
fis-1244	264	93	bifurcation	bifurcation	NOUN
fis-1244	264	94	of	of	ADP
fis-1244	264	95	the	the	DET
fis-1244	264	96	form	form	NOUN
fis-1244	264	97	(	(	PUNCT
fis-1244	264	98	31	31	NUM
fis-1244	264	99	)	)	PUNCT
fis-1244	264	100	from	from	ADP
fis-1244	264	101	the	the	DET
fis-1244	264	102	fundamental	fundamental	ADJ
fis-1244	264	103	azimuthal	azimuthal	ADJ
fis-1244	264	104	shear	shear	NOUN
fis-1244	264	105	deformation	deformation	NOUN
fis-1244	264	106	.	.	PUNCT
fis-1244	265	1	the	the	DET
fis-1244	265	2	magnus	magnus	PROPN
fis-1244	265	3	method	method	NOUN
fis-1244	265	4	is	be	AUX
fis-1244	265	5	now	now	ADV
fis-1244	265	6	the	the	DET
fis-1244	265	7	key	key	ADJ
fis-1244	265	8	ingredient	ingredient	NOUN
fis-1244	265	9	for	for	ADP
fis-1244	265	10	approximately	approximately	ADV
fis-1244	265	11	determining	determine	VERB
fis-1244	265	12	the	the	DET
fis-1244	265	13	matricant	matricant	NOUN
fis-1244	265	14	of	of	ADP
fis-1244	265	15	(	(	PUNCT
fis-1244	265	16	46	46	NUM
fis-1244	265	17	)	)	PUNCT
fis-1244	265	18	,	,	PUNCT
fis-1244	265	19	whereas	whereas	SCONJ
fis-1244	265	20	(	(	PUNCT
fis-1244	265	21	44	44	NUM
fis-1244	265	22	)	)	PUNCT
fis-1244	265	23	plays	play	VERB
fis-1244	265	24	the	the	DET
fis-1244	265	25	role	role	NOUN
fis-1244	265	26	of	of	ADP
fis-1244	265	27	bifurcation	bifurcation	NOUN
fis-1244	265	28	condition	condition	NOUN
fis-1244	265	29	.	.	PUNCT
fis-1244	266	1	following	follow	VERB
fis-1244	266	2	the	the	DET
fis-1244	266	3	steps	step	NOUN
fis-1244	266	4	outlined	outline	VERB
fis-1244	266	5	in	in	ADP
fis-1244	266	6	the	the	DET
fis-1244	266	7	section	section	NOUN
fis-1244	266	8	2	2	NUM
fis-1244	266	9	,	,	PUNCT
fis-1244	266	10	we	we	PRON
fis-1244	266	11	first	first	ADV
fis-1244	266	12	fix	fix	VERB
fis-1244	266	13	the	the	DET
fis-1244	266	14	radii	radii	NOUN
fis-1244	266	15	r1	r1	NOUN
fis-1244	266	16	and	and	CCONJ
fis-1244	266	17	r2	r2	PROPN
fis-1244	266	18	,	,	PUNCT
fis-1244	266	19	the	the	DET
fis-1244	266	20	height	height	NOUN
fis-1244	266	21	h	h	NOUN
fis-1244	266	22	,	,	PUNCT
fis-1244	266	23	the	the	DET
fis-1244	266	24	referential	referential	ADJ
fis-1244	266	25	shear	shear	NOUN
fis-1244	266	26	modulus	modulus	ADJ
fis-1244	266	27			NOUN
fis-1244	266	28	and	and	CCONJ
fis-1244	266	29	the	the	DET
fis-1244	266	30	referential	referential	ADJ
fis-1244	266	31	poisson	poisson	NOUN
fis-1244	266	32	’s	’s	PART
fis-1244	266	33	ratio	ratio	NOUN
fis-1244	266	34			NOUN
fis-1244	266	35	(	(	PUNCT
fis-1244	266	36	recall	recall	VERB
fis-1244	266	37	that	that	PRON
fis-1244	266	38	3/	3/	NUM
fis-1244	267	1	4	4	NUM
fis-1244	267	2			NOUN
fis-1244	267	3	by	by	ADP
fis-1244	267	4	(	(	PUNCT
fis-1244	267	5	24	24	NUM
fis-1244	267	6	)	)	PUNCT
fis-1244	267	7	)	)	PUNCT
fis-1244	267	8	.	.	PUNCT
fis-1244	268	1	then	then	ADV
fis-1244	268	2	,	,	PUNCT
fis-1244	268	3	we	we	PRON
fis-1244	268	4	:	:	PUNCT
fis-1244	268	5	fix	fix	VERB
fis-1244	268	6	the	the	DET
fis-1244	268	7	number	number	NOUN
fis-1244	268	8	n	n	NOUN
fis-1244	268	9	of	of	ADP
fis-1244	268	10	twisting	twist	VERB
fis-1244	268	11	cells	cell	NOUN
fis-1244	268	12	in	in	ADP
fis-1244	268	13	the	the	DET
fis-1244	268	14	axial	axial	ADJ
fis-1244	268	15	direction	direction	NOUN
fis-1244	268	16	(	(	PUNCT
fis-1244	268	17	by	by	ADP
fis-1244	268	18	(	(	PUNCT
fis-1244	268	19	31	31	NUM
fis-1244	268	20	)	)	PUNCT
fis-1244	268	21	this	this	PRON
fis-1244	268	22	is	be	AUX
fis-1244	268	23	equivalent	equivalent	ADJ
fis-1244	268	24	to	to	ADP
fis-1244	268	25	fixing	fix	VERB
fis-1244	268	26			NOUN
fis-1244	268	27	)	)	PUNCT
fis-1244	268	28	starting	start	VERB
fis-1244	268	29	from	from	ADP
fis-1244	268	30	n	n	PRON
fis-1244	268	31	=	=	NUM
fis-1244	268	32	1	1	NUM
fis-1244	268	33	;	;	PUNCT
fis-1244	268	34	fix	fix	VERB
fis-1244	268	35	the	the	DET
fis-1244	268	36	value	value	NOUN
fis-1244	268	37	of	of	ADP
fis-1244	268	38	the	the	DET
fis-1244	268	39	loading	loading	NOUN
fis-1244	268	40	parameter	parameter	NOUN
fis-1244	268	41			ADJ
fis-1244	268	42	starting	start	VERB
fis-1244	268	43	from	from	ADP
fis-1244	268	44	zero	zero	NUM
fis-1244	268	45	;	;	PUNCT
fis-1244	268	46	compute	compute	VERB
fis-1244	268	47	the	the	DET
fis-1244	268	48	matrices	matrix	NOUN
fis-1244	268	49	(	(	PUNCT
fis-1244	268	50	35	35	NUM
fis-1244	268	51	)	)	PUNCT
fis-1244	268	52	,	,	PUNCT
fis-1244	268	53	which	which	PRON
fis-1244	268	54	now	now	ADV
fis-1244	268	55	depend	depend	VERB
fis-1244	268	56	only	only	ADV
fis-1244	268	57	on	on	ADP
fis-1244	268	58	r	r	NOUN
fis-1244	268	59	,	,	PUNCT
fis-1244	268	60	and	and	CCONJ
fis-1244	268	61	then	then	ADV
fis-1244	268	62	compute	compute	VERB
fis-1244	268	63			NOUN
fis-1244	268	64	ra	ra	NUM
fis-1244	269	1	in	in	ADP
fis-1244	269	2	(	(	PUNCT
fis-1244	269	3	38	38	NUM
fis-1244	269	4	)	)	PUNCT
fis-1244	269	5	by	by	ADP
fis-1244	269	6	means	mean	NOUN
fis-1244	269	7	of	of	ADP
fis-1244	269	8	(	(	PUNCT
fis-1244	269	9	36	36	NUM
fis-1244	269	10	)	)	PUNCT
fis-1244	269	11	;	;	PUNCT
fis-1244	269	12	divide	divide	VERB
fis-1244	269	13	the	the	DET
fis-1244	269	14	interval	interval	NOUN
fis-1244	269	15			PROPN
fis-1244	269	16	1	1	PROPN
fis-1244	269	17	2r	2r	NUM
fis-1244	269	18	,	,	PUNCT
fis-1244	270	1	r	r	NOUN
fis-1244	270	2	into	into	ADP
fis-1244	270	3	n	n	PROPN
fis-1244	270	4	subintervals	subinterval	NOUN
fis-1244	270	5			PROPN
fis-1244	270	6	i+1	i+1	NOUN
fis-1244	270	7	ir	ir	NOUN
fis-1244	270	8	,	,	PUNCT
fis-1244	270	9	r	r	NOUN
fis-1244	270	10	such	such	ADJ
fis-1244	270	11	that	that	SCONJ
fis-1244	270	12	the	the	DET
fis-1244	270	13	magnus	magnus	PROPN
fis-1244	270	14	series	series	PROPN
fis-1244	270	15	converges	converge	VERB
fis-1244	270	16	in	in	ADP
fis-1244	270	17	each	each	PRON
fis-1244	270	18	of	of	ADP
fis-1244	270	19	them	they	PRON
fis-1244	270	20	(	(	PUNCT
fis-1244	270	21	see	see	VERB
fis-1244	270	22	the	the	DET
fis-1244	270	23	convergence	convergence	NOUN
fis-1244	270	24	condition	condition	NOUN
fis-1244	270	25	(	(	PUNCT
fis-1244	270	26	7	7	NUM
fis-1244	270	27	)	)	PUNCT
fis-1244	270	28	)	)	PUNCT
fis-1244	270	29	;	;	PUNCT
fis-1244	270	30	employ	employ	VERB
fis-1244	270	31	for	for	ADP
fis-1244	270	32	simplicity	simplicity	NOUN
fis-1244	270	33	a	a	DET
fis-1244	270	34	fourth	fourth	ADJ
fis-1244	270	35	-	-	PUNCT
fis-1244	270	36	order	order	NOUN
fis-1244	270	37	method	method	NOUN
fis-1244	270	38	by	by	ADP
fis-1244	270	39	truncating	truncate	VERB
fis-1244	270	40	the	the	DET
fis-1244	270	41	magnus	magnus	PROPN
fis-1244	270	42	series	series	PROPN
fis-1244	270	43			PROPN
fis-1244	270	44	i+1r	i+1r	PROPN
fis-1244	270	45	after	after	ADP
fis-1244	270	46	the	the	DET
fis-1244	270	47	second	second	ADJ
fis-1244	270	48	term	term	NOUN
fis-1244	270	49	in	in	ADP
fis-1244	270	50	each	each	DET
fis-1244	270	51	subinterval	subinterval	NOUN
fis-1244	270	52	(	(	PUNCT
fis-1244	270	53	see	see	VERB
fis-1244	270	54	(	(	PUNCT
fis-1244	270	55	4	4	NUM
fis-1244	270	56	)	)	PUNCT
fis-1244	270	57	)	)	PUNCT
fis-1244	270	58	and	and	CCONJ
fis-1244	270	59	by	by	ADP
fis-1244	270	60	approximating	approximate	VERB
fis-1244	270	61	the	the	DET
fis-1244	270	62	integrals	integral	NOUN
fis-1244	270	63	using	use	VERB
fis-1244	270	64	a	a	DET
fis-1244	270	65	gauss	gauss	ADJ
fis-1244	270	66	quadrature	quadrature	NOUN
fis-1244	270	67	rule	rule	NOUN
fis-1244	270	68	.	.	PUNCT
fis-1244	271	1	this	this	PRON
fis-1244	271	2	allow	allow	VERB
fis-1244	271	3	us	we	PRON
fis-1244	271	4	to	to	PART
fis-1244	271	5	write	write	VERB
fis-1244	271	6			NOUN
fis-1244	271	7			PROPN
fis-1244	271	8			ADJ
fis-1244	271	9			VERB
fis-1244	271	10			PROPN
fis-1244	271	11			NOUN
fis-1244	271	12			ADJ
fis-1244	271	13			PROPN
fis-1244	271	14			PROPN
fis-1244	271	15			NOUN
fis-1244	271	16			VERB
fis-1244	271	17			PROPN
fis-1244	271	18			NOUN
fis-1244	271	19			VERB
fis-1244	271	20			PROPN
fis-1244	271	21	2	2	NUM
fis-1244	271	22	1	1	NUM
fis-1244	271	23	2	2	NUM
fis-1244	271	24	1	1	NUM
fis-1244	271	25	2	2	NUM
fis-1244	271	26	i+1	i+1	NOUN
fis-1244	272	1	i	i	PRON
fis-1244	273	1	i	i	PRON
fis-1244	274	1	i	i	PRON
fis-1244	275	1	i	i	PRON
fis-1244	275	2	h	h	VERB
fis-1244	276	1	h	h	NOUN
fis-1244	276	2	3	3	NUM
fis-1244	276	3	r	r	NOUN
fis-1244	276	4	r	r	NOUN
fis-1244	276	5	r	r	NOUN
fis-1244	276	6	r	r	NOUN
fis-1244	276	7	,	,	PUNCT
fis-1244	276	8	r	r	NOUN
fis-1244	276	9	2	2	NUM
fis-1244	276	10	12	12	NUM
fis-1244	276	11			PROPN
fis-1244	276	12			PROPN
fis-1244	276	13			X
fis-1244	276	14			PROPN
fis-1244	276	15			VERB
fis-1244	276	16			PROPN
fis-1244	276	17			PROPN
fis-1244	276	18	a	a	DET
fis-1244	276	19	a	a	DET
fis-1244	276	20	a	a	PRON
fis-1244	276	21	a	a	PROPN
fis-1244	276	22	(	(	PUNCT
fis-1244	276	23	47	47	NUM
fis-1244	276	24	)	)	PUNCT
fis-1244	276	25	where	where	SCONJ
fis-1244	276	26			ADJ
fis-1244	276	27			SYM
fis-1244	276	28			ADJ
fis-1244	276	29	1	1	NOUN
fis-1244	276	30	2	2	NUM
fis-1244	276	31	2	2	NUM
fis-1244	276	32	1	1	NUM
fis-1244	277	1	i	i	NOUN
fis-1244	277	2	ii	ii	NOUN
fis-1244	278	1	i	i	NOUN
fis-1244	278	2	r	r	NOUN
fis-1244	278	3	r1	r1	NOUN
fis-1244	278	4	3	3	NUM
fis-1244	278	5	1	1	NUM
fis-1244	278	6	3	3	NUM
fis-1244	278	7	r	r	NOUN
fis-1244	278	8	r	r	NOUN
fis-1244	278	9	h	h	NOUN
fis-1244	278	10	,	,	PUNCT
fis-1244	278	11	r	r	NOUN
fis-1244	278	12	r	r	NOUN
fis-1244	278	13	h	h	NOUN
fis-1244	278	14	,	,	PUNCT
fis-1244	278	15	with	with	ADP
fis-1244	278	16	h	h	NOUN
fis-1244	278	17	=	=	SYM
fis-1244	278	18	2	2	NUM
fis-1244	278	19	6	6	NUM
fis-1244	278	20	2	2	NUM
fis-1244	278	21	6	6	NUM
fis-1244	278	22	n	n	PROPN
fis-1244	278	23			NOUN
fis-1244	278	24			PROPN
fis-1244	278	25			NOUN
fis-1244	278	26			PROPN
fis-1244	278	27			VERB
fis-1244	278	28			PRON
fis-1244	278	29			ADV
fis-1244	278	30			PROPN
fis-1244	278	31			PROPN
fis-1244	278	32			ADJ
fis-1244	278	33			PROPN
fis-1244	278	34			PROPN
fis-1244	279	1			PROPN
fis-1244	279	2			PROPN
fis-1244	280	1			PROPN
fis-1244	280	2			PROPN
fis-1244	280	3			PROPN
fis-1244	280	4			NOUN
fis-1244	280	5	(	(	PUNCT
fis-1244	280	6	48	48	NUM
fis-1244	280	7	)	)	PUNCT
fis-1244	280	8	are	be	AUX
fis-1244	280	9	two	two	NUM
fis-1244	280	10	gauss	gauss	ADJ
fis-1244	280	11	points	point	NOUN
fis-1244	280	12	in	in	ADP
fis-1244	280	13	correspondence	correspondence	NOUN
fis-1244	280	14	of	of	ADP
fis-1244	280	15	which	which	PRON
fis-1244	280	16			PROPN
fis-1244	280	17	ra	ra	PROPN
fis-1244	280	18	and	and	CCONJ
fis-1244	280	19	its	its	PRON
fis-1244	280	20	employed	employ	VERB
fis-1244	280	21	linear	linear	PROPN
fis-1244	280	22	approximation	approximation	NOUN
fis-1244	280	23	agree	agree	NOUN
fis-1244	280	24	.	.	PUNCT
fis-1244	281	1	compute	compute	VERB
fis-1244	281	2	the	the	DET
fis-1244	281	3	matrix	matrix	NOUN
fis-1244	281	4	exponential	exponential	NOUN
fis-1244	281	5	of	of	ADP
fis-1244	281	6			NOUN
fis-1244	281	7	i+1r	i+1r	PROPN
fis-1244	281	8	using	use	VERB
fis-1244	281	9	the	the	DET
fis-1244	281	10	function	function	NOUN
fis-1244	281	11	matrixexp	matrixexp	NOUN
fis-1244	281	12	in	in	ADP
fis-1244	281	13	the	the	DET
fis-1244	281	14	software	software	NOUN
fis-1244	281	15	mathematica	mathematica	PROPN
fis-1244	281	16	;	;	PUNCT
fis-1244	281	17	evaluate	evaluate	VERB
fis-1244	281	18	the	the	DET
fis-1244	281	19	matricant	matricant	NOUN
fis-1244	281	20	of	of	ADP
fis-1244	281	21	(	(	PUNCT
fis-1244	281	22	46	46	NUM
fis-1244	281	23	)	)	PUNCT
fis-1244	281	24	at	at	ADP
fis-1244	281	25	the	the	DET
fis-1244	281	26	external	external	ADJ
fis-1244	281	27	radius	radius	NOUN
fis-1244	281	28	r2	r2	NOUN
fis-1244	281	29	=	=	SYM
fis-1244	281	30	r2	r2	PROPN
fis-1244	281	31	by	by	ADP
fis-1244	281	32	(	(	PUNCT
fis-1244	281	33	8)	8)	NUM
fis-1244	281	34	and	and	CCONJ
fis-1244	281	35	(	(	PUNCT
fis-1244	281	36	9	9	NUM
fis-1244	281	37	)	)	PUNCT
fis-1244	281	38	;	;	PUNCT
fis-1244	281	39	compute	compute	VERB
fis-1244	281	40	the	the	DET
fis-1244	281	41	“	"	PUNCT
fis-1244	281	42	north	north	NOUN
fis-1244	281	43	-	-	PUNCT
fis-1244	281	44	east	east	NOUN
fis-1244	281	45	”	"	PUNCT
fis-1244	281	46	block	block	NOUN
fis-1244	281	47	of	of	ADP
fis-1244	281	48	the	the	DET
fis-1244	281	49	matricant	matricant	NOUN
fis-1244	281	50	at	at	ADP
fis-1244	281	51	r2	r2	PROPN
fis-1244	281	52	=	=	PROPN
fis-1244	281	53	r2	r2	PROPN
fis-1244	281	54	,	,	PUNCT
fis-1244	281	55	that	that	PRON
fis-1244	281	56	is	be	AUX
fis-1244	281	57	the	the	DET
fis-1244	281	58	3x3	3x3	NUM
fis-1244	281	59	matrix	matrix	NOUN
fis-1244	281	60			NOUN
fis-1244	281	61	2	2	NOUN
fis-1244	281	62	2ru	2ru	NOUN
fis-1244	281	63	;	;	PUNCT
fis-1244	281	64	compute	compute	VERB
fis-1244	281	65	the	the	DET
fis-1244	281	66	determinant	determinant	NOUN
fis-1244	281	67	of	of	ADP
fis-1244	281	68			NOUN
fis-1244	281	69	2	2	NOUN
fis-1244	281	70	2ru	2ru	NOUN
fis-1244	281	71	and	and	CCONJ
fis-1244	281	72	check	check	VERB
fis-1244	281	73	if	if	SCONJ
fis-1244	281	74	the	the	DET
fis-1244	281	75	bifurcation	bifurcation	NOUN
fis-1244	281	76	condition	condition	NOUN
fis-1244	281	77	(	(	PUNCT
fis-1244	281	78	44	44	NUM
fis-1244	281	79	)	)	PUNCT
fis-1244	281	80	holds	hold	VERB
fis-1244	281	81	.	.	PUNCT
fis-1244	282	1	following	follow	VERB
fis-1244	282	2	this	this	DET
fis-1244	282	3	procedure	procedure	NOUN
fis-1244	282	4	,	,	PUNCT
fis-1244	282	5	we	we	PRON
fis-1244	282	6	define	define	VERB
fis-1244	282	7	n	n	DET
fis-1244	282	8	cr	cr	NOUN
fis-1244	282	9	as	as	ADP
fis-1244	282	10	the	the	DET
fis-1244	282	11	smallest	small	ADJ
fis-1244	282	12	value	value	NOUN
fis-1244	282	13	of	of	ADP
fis-1244	282	14			NOUN
fis-1244	282	15	which	which	PRON
fis-1244	282	16	satisfies	satisfy	VERB
fis-1244	282	17	the	the	DET
fis-1244	282	18	bifurcation	bifurcation	NOUN
fis-1244	282	19	condition	condition	NOUN
fis-1244	282	20	(	(	PUNCT
fis-1244	282	21	44	44	NUM
fis-1244	282	22	)	)	PUNCT
fis-1244	282	23	corresponding	correspond	VERB
fis-1244	282	24	to	to	ADP
fis-1244	282	25	the	the	DET
fis-1244	282	26	fixed	fix	VERB
fis-1244	282	27	value	value	NOUN
fis-1244	282	28	of	of	ADP
fis-1244	282	29	n.	n.	NOUN
fis-1244	282	30	of	of	ADP
fis-1244	282	31	course	course	NOUN
fis-1244	282	32	,	,	PUNCT
fis-1244	282	33	when	when	SCONJ
fis-1244	282	34	one	one	PRON
fis-1244	282	35	repeats	repeat	VERB
fis-1244	282	36	the	the	DET
fis-1244	282	37	above	above	ADJ
fis-1244	282	38	procedure	procedure	NOUN
fis-1244	282	39	by	by	ADP
fis-1244	282	40	varying	vary	VERB
fis-1244	282	41	the	the	DET
fis-1244	282	42	number	number	NOUN
fis-1244	282	43	of	of	ADP
fis-1244	282	44	possible	possible	ADJ
fis-1244	282	45	axial	axial	ADJ
fis-1244	282	46	cells	cell	NOUN
fis-1244	282	47	,	,	PUNCT
fis-1244	282	48	the	the	DET
fis-1244	282	49	corresponding	corresponding	ADJ
fis-1244	282	50	critical	critical	ADJ
fis-1244	282	51	load	load	NOUN
fis-1244	282	52	n	n	CCONJ
fis-1244	282	53	cr	cr	ADJ
fis-1244	282	54	varies	vary	VERB
fis-1244	282	55	.	.	PUNCT
fis-1244	283	1	we	we	PRON
fis-1244	283	2	have	have	AUX
fis-1244	283	3	performed	perform	VERB
fis-1244	283	4	a	a	DET
fis-1244	283	5	large	large	ADJ
fis-1244	283	6	number	number	NOUN
fis-1244	283	7	of	of	ADP
fis-1244	283	8	computations	computation	NOUN
fis-1244	283	9	which	which	PRON
fis-1244	283	10	show	show	VERB
fis-1244	283	11	that	that	SCONJ
fis-1244	283	12	as	as	ADP
fis-1244	283	13	n	n	ADP
fis-1244	283	14	increases	increase	NOUN
fis-1244	283	15	,	,	PUNCT
fis-1244	283	16	the	the	DET
fis-1244	283	17	corresponding	correspond	VERB
fis-1244	283	18	n	n	CCONJ
fis-1244	283	19	cr	cr	NOUN
fis-1244	283	20	determined	determine	VERB
fis-1244	283	21	by	by	ADP
fis-1244	283	22	(	(	PUNCT
fis-1244	283	23	44	44	NUM
fis-1244	283	24	)	)	PUNCT
fis-1244	283	25	decreases	decrease	NOUN
fis-1244	283	26	until	until	ADP
fis-1244	283	27	a	a	DET
fis-1244	283	28	critical	critical	ADJ
fis-1244	283	29	value	value	NOUN
fis-1244	283	30	of	of	ADP
fis-1244	283	31	n	n	NUM
fis-1244	283	32	above	above	ADP
fis-1244	283	33	which	which	PRON
fis-1244	283	34	(	(	PUNCT
fis-1244	283	35	44	44	NUM
fis-1244	283	36	)	)	PUNCT
fis-1244	283	37	a.	a.	NOUN
fis-1244	283	38	castellano	castellano	PROPN
fis-1244	283	39	et	et	PROPN
fis-1244	283	40	alii	alii	PROPN
fis-1244	283	41	,	,	PUNCT
fis-1244	283	42	frattura	frattura	PROPN
fis-1244	283	43	ed	ed	PROPN
fis-1244	283	44	integrità	integrità	PROPN
fis-1244	283	45	strutturale	strutturale	PROPN
fis-1244	283	46	,	,	PUNCT
fis-1244	283	47	29	29	NUM
fis-1244	283	48	(	(	PUNCT
fis-1244	283	49	2014	2014	NUM
fis-1244	283	50	)	)	PUNCT
fis-1244	283	51	128	128	NUM
fis-1244	283	52	-	-	SYM
fis-1244	283	53	138	138	NUM
fis-1244	283	54	;	;	PUNCT
fis-1244	283	55	doi	doi	NOUN
fis-1244	283	56	:	:	PUNCT
fis-1244	283	57	10.3221	10.3221	NUM
fis-1244	283	58	/	/	SYM
fis-1244	283	59	igf	igf	PROPN
fis-1244	283	60	-	-	PUNCT
fis-1244	283	61	esis.29.12	esis.29.12	PROPN
fis-1244	283	62	137	137	NUM
fis-1244	283	63	definitively	definitively	ADV
fis-1244	283	64	does	do	AUX
fis-1244	283	65	not	not	PART
fis-1244	283	66	hold	hold	VERB
fis-1244	283	67	for	for	ADP
fis-1244	283	68	any	any	DET
fis-1244	283	69			NOUN
fis-1244	283	70	.	.	PUNCT
fis-1244	284	1	in	in	ADP
fis-1244	284	2	correspondence	correspondence	NOUN
fis-1244	284	3	,	,	PUNCT
fis-1244	284	4	a	a	DET
fis-1244	284	5	load	load	NOUN
fis-1244	284	6	cr	cr	NOUN
fis-1244	284	7	corresponding	correspond	VERB
fis-1244	284	8	to	to	ADP
fis-1244	284	9	crn	crn	PROPN
fis-1244	284	10	is	be	AUX
fis-1244	284	11	determined	determine	VERB
fis-1244	284	12	,	,	PUNCT
fis-1244	284	13	and	and	CCONJ
fis-1244	284	14	this	this	PRON
fis-1244	284	15	is	be	AUX
fis-1244	284	16	the	the	DET
fis-1244	284	17	critical	critical	ADJ
fis-1244	284	18	value	value	NOUN
fis-1244	284	19	of	of	ADP
fis-1244	284	20	the	the	DET
fis-1244	284	21	circular	circular	ADJ
fis-1244	284	22	angle	angle	NOUN
fis-1244	284	23	of	of	ADP
fis-1244	284	24	shear	shear	NOUN
fis-1244	284	25	which	which	PRON
fis-1244	284	26	allows	allow	VERB
fis-1244	284	27	for	for	ADP
fis-1244	284	28	the	the	DET
fis-1244	284	29	occurrence	occurrence	NOUN
fis-1244	284	30	of	of	ADP
fis-1244	284	31	a	a	DET
fis-1244	284	32	non	non	ADJ
fis-1244	284	33	-	-	ADJ
fis-1244	284	34	trivial	trivial	ADJ
fis-1244	284	35	axial	axial	ADJ
fis-1244	284	36	periodic	periodic	ADJ
fis-1244	284	37	deformation	deformation	NOUN
fis-1244	284	38	of	of	ADP
fis-1244	284	39	the	the	DET
fis-1244	284	40	form	form	NOUN
fis-1244	284	41	(	(	PUNCT
fis-1244	284	42	31	31	NUM
fis-1244	284	43	)	)	PUNCT
fis-1244	284	44	.	.	PUNCT
fis-1244	285	1	fig	fig	NOUN
fis-1244	285	2	.	.	PUNCT
fis-1244	286	1	1	1	NUM
fis-1244	286	2	reports	report	VERB
fis-1244	286	3	the	the	DET
fis-1244	286	4	bifurcation	bifurcation	NOUN
fis-1244	286	5	curve	curve	NOUN
fis-1244	286	6	for	for	ADP
fis-1244	286	7	a	a	DET
fis-1244	286	8	referential	referential	ADJ
fis-1244	286	9	shear	shear	NOUN
fis-1244	286	10	modulus	modulus	NOUN
fis-1244	286	11	1	1	NUM
fis-1244	286	12			NUM
fis-1244	286	13	mpa	mpa	PROPN
fis-1244	286	14	,	,	PUNCT
fis-1244	286	15	referential	referential	ADJ
fis-1244	286	16	poisson	poisson	NOUN
fis-1244	286	17	’s	’s	PART
fis-1244	286	18	ratio	ratio	NOUN
fis-1244	286	19	0.25	0.25	PUNCT
fis-1244	287	1			PRON
fis-1244	287	2	,	,	PUNCT
fis-1244	287	3	3/	3/	NUM
fis-1244	288	1	4	4	NUM
fis-1244	288	2			NOUN
fis-1244	288	3	and	and	CCONJ
fis-1244	288	4	h	h	NOUN
fis-1244	288	5	/	/	SYM
fis-1244	288	6	r1=1	r1=1	PROPN
fis-1244	288	7	.	.	PUNCT
fis-1244	289	1	it	it	PRON
fis-1244	289	2	shows	show	VERB
fis-1244	289	3	the	the	DET
fis-1244	289	4	critical	critical	ADJ
fis-1244	289	5	load	load	NOUN
fis-1244	289	6	cr	cr	NOUN
fis-1244	289	7	as	as	ADP
fis-1244	289	8	a	a	DET
fis-1244	289	9	function	function	NOUN
fis-1244	289	10	of	of	ADP
fis-1244	289	11	the	the	DET
fis-1244	289	12	ratio	ratio	NOUN
fis-1244	289	13	2	2	NUM
fis-1244	289	14	1r	1r	NUM
fis-1244	289	15	/r	/r	NOUN
fis-1244	289	16	between	between	ADP
fis-1244	289	17	the	the	DET
fis-1244	289	18	outer	outer	NOUN
fis-1244	289	19	and	and	CCONJ
fis-1244	289	20	the	the	DET
fis-1244	289	21	inner	inner	ADJ
fis-1244	289	22	radius	radius	NOUN
fis-1244	289	23	of	of	ADP
fis-1244	289	24	the	the	DET
fis-1244	289	25	tube	tube	NOUN
fis-1244	289	26	.	.	PUNCT
fis-1244	290	1	we	we	PRON
fis-1244	290	2	may	may	AUX
fis-1244	290	3	easily	easily	ADV
fis-1244	290	4	infer	infer	VERB
fis-1244	290	5	,	,	PUNCT
fis-1244	290	6	as	as	SCONJ
fis-1244	290	7	expected	expect	VERB
fis-1244	290	8	,	,	PUNCT
fis-1244	290	9	that	that	SCONJ
fis-1244	290	10	twist	twist	NOUN
fis-1244	290	11	-	-	PUNCT
fis-1244	290	12	like	like	ADJ
fis-1244	290	13	bifurcation	bifurcation	NOUN
fis-1244	290	14	may	may	AUX
fis-1244	290	15	be	be	AUX
fis-1244	290	16	more	more	ADV
fis-1244	290	17	easily	easily	ADV
fis-1244	290	18	supported	support	VERB
fis-1244	290	19	in	in	ADP
fis-1244	290	20	thin	thin	ADJ
fis-1244	290	21	tubes	tube	NOUN
fis-1244	290	22	.	.	PUNCT
fis-1244	291	1	figure	figure	NOUN
fis-1244	291	2	1	1	NUM
fis-1244	291	3	:	:	PUNCT
fis-1244	291	4	cr	cr	PROPN
fis-1244	291	5	vs.	vs.	ADP
fis-1244	291	6	r2	r2	PROPN
fis-1244	291	7	/	/	SYM
fis-1244	291	8	r1	r1	PROPN
fis-1244	291	9	,	,	PUNCT
fis-1244	291	10	for	for	ADP
fis-1244	291	11			NOUN
fis-1244	291	12	=	=	SYM
fis-1244	291	13	1	1	NUM
fis-1244	291	14	,	,	PUNCT
fis-1244	291	15			NOUN
fis-1244	291	16	=	=	SYM
fis-1244	291	17	3/4	3/4	NUM
fis-1244	291	18	,	,	PUNCT
fis-1244	291	19			NOUN
fis-1244	292	1	=	=	NOUN
fis-1244	292	2	0.25	0.25	NUM
fis-1244	292	3	,	,	PUNCT
fis-1244	292	4	h	h	NOUN
fis-1244	292	5	/	/	SYM
fis-1244	292	6	r1=1	r1=1	PROPN
fis-1244	292	7	.	.	PUNCT
fis-1244	293	1	conclusions	conclusion	NOUN
fis-1244	293	2	e	e	NOUN
fis-1244	293	3	have	have	AUX
fis-1244	293	4	studied	study	VERB
fis-1244	293	5	a	a	DET
fis-1244	293	6	bifurcation	bifurcation	NOUN
fis-1244	293	7	problem	problem	NOUN
fis-1244	293	8	concerning	concern	VERB
fis-1244	293	9	the	the	DET
fis-1244	293	10	possibility	possibility	NOUN
fis-1244	293	11	of	of	ADP
fis-1244	293	12	periodic	periodic	ADJ
fis-1244	293	13	twits	twit	NOUN
fis-1244	293	14	-	-	PUNCT
fis-1244	293	15	like	like	ADJ
fis-1244	293	16	deformations	deformation	NOUN
fis-1244	293	17	superposed	superpose	VERB
fis-1244	293	18	to	to	ADP
fis-1244	293	19	a	a	DET
fis-1244	293	20	primary	primary	ADJ
fis-1244	293	21	azimuthal	azimuthal	NOUN
fis-1244	293	22	shear	shear	NOUN
fis-1244	293	23	state	state	NOUN
fis-1244	293	24	for	for	ADP
fis-1244	293	25	a	a	DET
fis-1244	293	26	levinson	levinson	PROPN
fis-1244	293	27	-	-	PUNCT
fis-1244	293	28	burgess	burgess	NOUN
fis-1244	293	29	isotropic	isotropic	ADJ
fis-1244	293	30	elastic	elastic	ADJ
fis-1244	293	31	tube	tube	NOUN
fis-1244	293	32	.	.	PUNCT
fis-1244	294	1	the	the	DET
fis-1244	294	2	procedure	procedure	NOUN
fis-1244	294	3	proposed	propose	VERB
fis-1244	294	4	for	for	ADP
fis-1244	294	5	determining	determine	VERB
fis-1244	294	6	approximate	approximate	ADJ
fis-1244	294	7	solutions	solution	NOUN
fis-1244	294	8	of	of	ADP
fis-1244	294	9	the	the	DET
fis-1244	294	10	resulting	result	VERB
fis-1244	294	11	non	non	ADJ
fis-1244	294	12	-	-	ADJ
fis-1244	294	13	autonomous	autonomous	ADJ
fis-1244	294	14	systems	system	NOUN
fis-1244	294	15	of	of	ADP
fis-1244	294	16	linear	linear	PROPN
fis-1244	294	17	ode	ode	PROPN
fis-1244	294	18	’s	’s	PART
fis-1244	294	19	is	be	AUX
fis-1244	294	20	based	base	VERB
fis-1244	294	21	on	on	ADP
fis-1244	294	22	the	the	DET
fis-1244	294	23	magnus	magnus	PROPN
fis-1244	294	24	method	method	NOUN
fis-1244	294	25	,	,	PUNCT
fis-1244	294	26	which	which	PRON
fis-1244	294	27	represents	represent	VERB
fis-1244	294	28	an	an	DET
fis-1244	294	29	innovative	innovative	ADJ
fis-1244	294	30	numerical	numerical	ADJ
fis-1244	294	31	scheme	scheme	NOUN
fis-1244	294	32	belonging	belong	VERB
fis-1244	294	33	to	to	ADP
fis-1244	294	34	the	the	DET
fis-1244	294	35	more	more	ADV
fis-1244	294	36	general	general	ADJ
fis-1244	294	37	class	class	NOUN
fis-1244	294	38	of	of	ADP
fis-1244	294	39	geometric	geometric	ADJ
fis-1244	294	40	numerical	numerical	ADJ
fis-1244	294	41	integrators	integrator	NOUN
fis-1244	294	42	.	.	PUNCT
fis-1244	295	1	we	we	PRON
fis-1244	295	2	have	have	VERB
fis-1244	295	3	the	the	DET
fis-1244	295	4	feeling	feeling	NOUN
fis-1244	295	5	that	that	SCONJ
fis-1244	295	6	these	these	DET
fis-1244	295	7	new	new	ADJ
fis-1244	295	8	methods	method	NOUN
fis-1244	295	9	,	,	PUNCT
fis-1244	295	10	already	already	ADV
fis-1244	295	11	employed	employ	VERB
fis-1244	295	12	in	in	ADP
fis-1244	295	13	many	many	ADJ
fis-1244	295	14	scientific	scientific	ADJ
fis-1244	295	15	areas	area	NOUN
fis-1244	295	16	,	,	PUNCT
fis-1244	295	17	may	may	AUX
fis-1244	295	18	find	find	VERB
fis-1244	295	19	interesting	interesting	ADJ
fis-1244	295	20	applications	application	NOUN
fis-1244	295	21	also	also	ADV
fis-1244	295	22	in	in	ADP
fis-1244	295	23	the	the	DET
fis-1244	295	24	field	field	NOUN
fis-1244	295	25	of	of	ADP
fis-1244	295	26	continuum	continuum	ADJ
fis-1244	295	27	mechanics	mechanic	NOUN
fis-1244	295	28	.	.	PUNCT
fis-1244	296	1	in	in	ADP
fis-1244	296	2	the	the	DET
fis-1244	296	3	future	future	NOUN
fis-1244	296	4	we	we	PRON
fis-1244	296	5	are	be	AUX
fis-1244	296	6	going	go	VERB
fis-1244	296	7	to	to	PART
fis-1244	296	8	further	far	ADV
fis-1244	296	9	explore	explore	VERB
fis-1244	296	10	the	the	DET
fis-1244	296	11	applicability	applicability	NOUN
fis-1244	296	12	and	and	CCONJ
fis-1244	296	13	the	the	DET
fis-1244	296	14	advantages	advantage	NOUN
fis-1244	296	15	of	of	ADP
fis-1244	296	16	the	the	DET
fis-1244	296	17	magnus	magnus	PROPN
fis-1244	296	18	method	method	NOUN
fis-1244	296	19	by	by	ADP
fis-1244	296	20	studying	study	VERB
fis-1244	296	21	other	other	ADJ
fis-1244	296	22	bifurcation	bifurcation	NOUN
fis-1244	296	23	problems	problem	NOUN
fis-1244	296	24	yielding	yield	VERB
fis-1244	296	25	non	non	ADJ
fis-1244	296	26	-	-	ADJ
fis-1244	296	27	autonomous	autonomous	ADJ
fis-1244	296	28	ode	ode	ADJ
fis-1244	296	29	systems	system	NOUN
fis-1244	296	30	like	like	VERB
fis-1244	296	31	,	,	PUNCT
fis-1244	296	32	for	for	ADP
fis-1244	296	33	example	example	NOUN
fis-1244	296	34	,	,	PUNCT
fis-1244	296	35	a	a	DET
fis-1244	296	36	taylor	taylor	NOUN
fis-1244	296	37	-	-	PUNCT
fis-1244	296	38	couette	couette	NOUN
fis-1244	296	39	type	type	NOUN
fis-1244	296	40	bifurcation	bifurcation	NOUN
fis-1244	296	41	for	for	ADP
fis-1244	296	42	a	a	DET
fis-1244	296	43	sheared	shear	VERB
fis-1244	296	44	incompressible	incompressible	ADJ
fis-1244	296	45	annular	annular	ADJ
fis-1244	296	46	tube	tube	NOUN
fis-1244	296	47	modeled	model	VERB
fis-1244	296	48	by	by	ADP
fis-1244	296	49	an	an	DET
fis-1244	296	50	extended	extended	ADJ
fis-1244	296	51	version	version	NOUN
fis-1244	296	52	of	of	ADP
fis-1244	296	53	the	the	DET
fis-1244	296	54	gent	gent	NOUN
fis-1244	296	55	constitutive	constitutive	ADJ
fis-1244	296	56	equation	equation	NOUN
fis-1244	296	57	.	.	PUNCT
fis-1244	297	1	acknowledgments	acknowledgment	NOUN
fis-1244	297	2	he	he	PRON
fis-1244	297	3	authors	author	NOUN
fis-1244	297	4	gratefully	gratefully	ADV
fis-1244	297	5	acknowledge	acknowledge	VERB
fis-1244	297	6	the	the	DET
fis-1244	297	7	research	research	NOUN
fis-1244	297	8	projects	project	VERB
fis-1244	297	9	miur	miur	NOUN
fis-1244	297	10	-	-	ADJ
fis-1244	297	11	prin	prin	NOUN
fis-1244	297	12	2010	2010	NUM
fis-1244	297	13	-	-	SYM
fis-1244	297	14	2011	2011	NUM
fis-1244	297	15	:	:	PUNCT
fis-1244	297	16	“	"	PUNCT
fis-1244	297	17	dinamica	dinamica	X
fis-1244	297	18	,	,	PUNCT
fis-1244	297	19	stabilità	stabilità	PROPN
fis-1244	297	20	e	e	PROPN
fis-1244	297	21	controllo	controllo	PROPN
fis-1244	297	22	di	di	PROPN
fis-1244	297	23	strutture	strutture	PROPN
fis-1244	297	24	flessibili	flessibili	NOUN
fis-1244	297	25	”	"	PUNCT
fis-1244	297	26	and	and	CCONJ
fis-1244	297	27	miur	miur	VERB
fis-1244	297	28	pon	pon	NOUN
fis-1244	297	29	-	-	PUNCT
fis-1244	297	30	rec	rec	ADJ
fis-1244	297	31	:	:	PUNCT
fis-1244	297	32	“	"	PUNCT
fis-1244	297	33	massime	massime	NOUN
fis-1244	297	34	”	"	PUNCT
fis-1244	297	35	–	–	PUNCT
fis-1244	297	36	sistemi	sistemi	X
fis-1244	297	37	di	di	X
fis-1244	297	38	sicurezza	sicurezza	PROPN
fis-1244	297	39	meccatronici	meccatronici	NOUN
fis-1244	297	40	innovativi	innovativi	NOUN
fis-1244	297	41	(	(	PUNCT
fis-1244	297	42	cablati	cablati	PROPN
fis-1244	297	43	e	e	PROPN
fis-1244	297	44	wireless	wireless	NOUN
fis-1244	297	45	)	)	PUNCT
fis-1244	297	46	per	per	ADP
fis-1244	297	47	applicazioni	applicazioni	X
fis-1244	297	48	ferroviarie	ferroviarie	NOUN
fis-1244	297	49	,	,	PUNCT
fis-1244	297	50	aerospaziali	aerospaziali	ADJ
fis-1244	297	51	e	e	NOUN
fis-1244	297	52	robotiche	robotiche	NOUN
fis-1244	297	53	.	.	PUNCT
fis-1244	298	1	references	reference	NOUN
fis-1244	298	2	[	[	X
fis-1244	298	3	1	1	X
fis-1244	298	4	]	]	PUNCT
fis-1244	298	5	goriely	goriely	ADV
fis-1244	298	6	,	,	PUNCT
fis-1244	298	7	a.	a.	NOUN
fis-1244	298	8	,	,	PUNCT
fis-1244	298	9	vandiver	vandiver	ADJ
fis-1244	298	10	,	,	PUNCT
fis-1244	298	11	r.	r.	PROPN
fis-1244	298	12	,	,	PUNCT
fis-1244	298	13	destrade	destrade	NOUN
fis-1244	298	14	,	,	PUNCT
fis-1244	298	15	m.	m.	NOUN
fis-1244	298	16	,	,	PUNCT
fis-1244	298	17	nonlinear	nonlinear	PROPN
fis-1244	298	18	euler	euler	PROPN
fis-1244	298	19	buckling	buckling	NOUN
fis-1244	298	20	,	,	PUNCT
fis-1244	298	21	proc	proc	NOUN
fis-1244	298	22	.	.	PUNCT
fis-1244	299	1	r.	r.	PROPN
fis-1244	299	2	soc	soc	PROPN
fis-1244	299	3	.	.	PUNCT
fis-1244	300	1	a	a	DET
fis-1244	300	2	,	,	PUNCT
fis-1244	300	3	464	464	NUM
fis-1244	300	4	(	(	PUNCT
fis-1244	300	5	2008	2008	NUM
fis-1244	300	6	)	)	PUNCT
fis-1244	300	7	3003	3003	NUM
fis-1244	300	8	–	–	PUNCT
fis-1244	300	9	3019	3019	NUM
fis-1244	300	10	.	.	PUNCT
fis-1244	301	1	[	[	X
fis-1244	301	2	2	2	NUM
fis-1244	301	3	]	]	X
fis-1244	301	4	shuvalov	shuvalov	NOUN
fis-1244	301	5	,	,	PUNCT
fis-1244	301	6	a.	a.	PROPN
fis-1244	301	7	l.	l.	PROPN
fis-1244	301	8	,	,	PUNCT
fis-1244	301	9	a	a	DET
fis-1244	301	10	sextic	sextic	ADJ
fis-1244	301	11	formalism	formalism	NOUN
fis-1244	301	12	for	for	ADP
fis-1244	301	13	the	the	DET
fis-1244	301	14	three	three	NUM
fis-1244	301	15	-	-	PUNCT
fis-1244	301	16	dimensional	dimensional	ADJ
fis-1244	301	17	elastodynamics	elastodynamic	NOUN
fis-1244	301	18	of	of	ADP
fis-1244	301	19	cylindrically	cylindrically	ADV
fis-1244	301	20	anisotropic	anisotropic	VERB
fis-1244	301	21	radially	radially	ADV
fis-1244	301	22	inhomogeneous	inhomogeneous	ADJ
fis-1244	301	23	materials	material	NOUN
fis-1244	301	24	,	,	PUNCT
fis-1244	301	25	proc	proc	NOUN
fis-1244	301	26	.	.	PUNCT
fis-1244	302	1	r.	r.	PROPN
fis-1244	302	2	soc	soc	PROPN
fis-1244	302	3	.	.	PUNCT
fis-1244	303	1	lond	lond	PROPN
fis-1244	303	2	.	.	PUNCT
fis-1244	303	3	,	,	PUNCT
fis-1244	303	4	459	459	NUM
fis-1244	303	5	(	(	PUNCT
fis-1244	303	6	2003	2003	NUM
fis-1244	303	7	)	)	PUNCT
fis-1244	303	8	1611–1639	1611–1639	NUM
fis-1244	303	9	.	.	PUNCT
fis-1244	304	1	[	[	X
fis-1244	304	2	3	3	NUM
fis-1244	304	3	]	]	X
fis-1244	304	4	shuvalov	shuvalov	NOUN
fis-1244	304	5	,	,	PUNCT
fis-1244	304	6	a.	a.	PROPN
fis-1244	304	7	l.	l.	PROPN
fis-1244	304	8	,	,	PUNCT
fis-1244	304	9	poncelet	poncelet	NOUN
fis-1244	304	10	,	,	PUNCT
fis-1244	304	11	o.	o.	PROPN
fis-1244	304	12	,	,	PUNCT
fis-1244	304	13	deschamps	deschamp	NOUN
fis-1244	304	14	,	,	PUNCT
fis-1244	304	15	m	m	PROPN
fis-1244	304	16	,	,	PUNCT
fis-1244	304	17	general	general	ADJ
fis-1244	304	18	formalism	formalism	NOUN
fis-1244	304	19	for	for	ADP
fis-1244	304	20	plane	plane	NOUN
fis-1244	304	21	guided	guide	VERB
fis-1244	304	22	waves	wave	NOUN
fis-1244	304	23	in	in	ADP
fis-1244	304	24	transversely	transversely	ADJ
fis-1244	304	25	inhomogeneous	inhomogeneous	ADJ
fis-1244	304	26	anisotropic	anisotropic	NOUN
fis-1244	304	27	plates	plate	NOUN
fis-1244	304	28	,	,	PUNCT
fis-1244	304	29	wave	wave	NOUN
fis-1244	304	30	motion	motion	NOUN
fis-1244	304	31	,	,	PUNCT
fis-1244	304	32	40	40	NUM
fis-1244	304	33	(	(	PUNCT
fis-1244	304	34	2004	2004	NUM
fis-1244	304	35	)	)	PUNCT
fis-1244	304	36	413	413	NUM
fis-1244	304	37	–	–	PUNCT
fis-1244	304	38	426	426	NUM
fis-1244	304	39	.	.	PUNCT
fis-1244	305	1	w	w	PROPN
fis-1244	305	2	t	t	PROPN
fis-1244	305	3	a.	a.	NOUN
fis-1244	305	4	castellano	castellano	PROPN
fis-1244	305	5	et	et	PROPN
fis-1244	305	6	alii	alii	PROPN
fis-1244	305	7	,	,	PUNCT
fis-1244	305	8	frattura	frattura	PROPN
fis-1244	305	9	ed	ed	PROPN
fis-1244	305	10	integrità	integrità	PROPN
fis-1244	305	11	strutturale	strutturale	PROPN
fis-1244	305	12	,	,	PUNCT
fis-1244	305	13	29	29	NUM
fis-1244	305	14	(	(	PUNCT
fis-1244	305	15	2014	2014	NUM
fis-1244	305	16	)	)	PUNCT
fis-1244	305	17	128	128	NUM
fis-1244	305	18	-	-	SYM
fis-1244	305	19	138	138	NUM
fis-1244	305	20	;	;	PUNCT
fis-1244	305	21	doi	doi	NOUN
fis-1244	305	22	:	:	PUNCT
fis-1244	305	23	10.3221	10.3221	NUM
fis-1244	305	24	/	/	SYM
fis-1244	305	25	igf	igf	PROPN
fis-1244	305	26	-	-	PUNCT
fis-1244	305	27	esis.29.12	esis.29.12	PROPN
fis-1244	305	28	138	138	NUM
fis-1244	305	29	[	[	X
fis-1244	305	30	4	4	NUM
fis-1244	305	31	]	]	X
fis-1244	305	32	magnus	magnus	PROPN
fis-1244	305	33	,	,	PUNCT
fis-1244	305	34	w.	w.	PROPN
fis-1244	305	35	,	,	PUNCT
fis-1244	305	36	on	on	ADP
fis-1244	305	37	the	the	DET
fis-1244	305	38	exponential	exponential	ADJ
fis-1244	305	39	solution	solution	NOUN
fis-1244	305	40	of	of	ADP
fis-1244	305	41	differential	differential	ADJ
fis-1244	305	42	equations	equation	NOUN
fis-1244	305	43	for	for	ADP
fis-1244	305	44	a	a	DET
fis-1244	305	45	linear	linear	ADJ
fis-1244	305	46	operator	operator	NOUN
fis-1244	305	47	,	,	PUNCT
fis-1244	305	48	comm	comm	NOUN
fis-1244	305	49	.	.	PUNCT
fis-1244	306	1	pure	pure	ADJ
fis-1244	306	2	appl	appl	PROPN
fis-1244	306	3	.	.	PUNCT
fis-1244	306	4	math	math	PROPN
fis-1244	306	5	.	.	PUNCT
fis-1244	306	6	,	,	PUNCT
fis-1244	306	7	vii	vii	PROPN
fis-1244	306	8	(	(	PUNCT
fis-1244	306	9	1954	1954	NUM
fis-1244	306	10	)	)	PUNCT
fis-1244	306	11	649	649	NUM
fis-1244	306	12	–	–	PUNCT
fis-1244	306	13	673	673	NUM
fis-1244	306	14	.	.	PUNCT
fis-1244	307	1	[	[	X
fis-1244	307	2	5	5	NUM
fis-1244	307	3	]	]	PUNCT
fis-1244	307	4	blanes	blane	NOUN
fis-1244	307	5	,	,	PUNCT
fis-1244	307	6	s.	s.	PROPN
fis-1244	307	7	,	,	PUNCT
fis-1244	307	8	casas	casas	PROPN
fis-1244	307	9	,	,	PUNCT
fis-1244	307	10	f.	f.	PROPN
fis-1244	307	11	,	,	PUNCT
fis-1244	307	12	oteo	oteo	PROPN
fis-1244	307	13	,	,	PUNCT
fis-1244	307	14	j.a	j.a	PROPN
fis-1244	307	15	.	.	PROPN
fis-1244	307	16	,	,	PUNCT
fis-1244	307	17	ros	ros	PROPN
fis-1244	307	18	,	,	PUNCT
fis-1244	307	19	j.	j.	PROPN
fis-1244	307	20	,	,	PUNCT
fis-1244	307	21	the	the	DET
fis-1244	307	22	magnus	magnus	PROPN
fis-1244	307	23	expansion	expansion	NOUN
fis-1244	307	24	and	and	CCONJ
fis-1244	307	25	some	some	PRON
fis-1244	307	26	of	of	ADP
fis-1244	307	27	its	its	PRON
fis-1244	307	28	applications	application	NOUN
fis-1244	307	29	,	,	PUNCT
fis-1244	307	30	physics	physics	NOUN
fis-1244	307	31	reports	report	NOUN
fis-1244	307	32	,	,	PUNCT
fis-1244	307	33	470	470	NUM
fis-1244	307	34	(	(	PUNCT
fis-1244	307	35	2009	2009	NUM
fis-1244	307	36	)	)	PUNCT
fis-1244	307	37	151	151	NUM
fis-1244	307	38	–	–	PUNCT
fis-1244	307	39	238	238	NUM
fis-1244	307	40	.	.	PUNCT
fis-1244	308	1	[	[	X
fis-1244	308	2	6	6	NUM
fis-1244	308	3	]	]	PUNCT
fis-1244	308	4	iserles	iserle	NOUN
fis-1244	308	5	,	,	PUNCT
fis-1244	308	6	a.	a.	NOUN
fis-1244	308	7	,	,	PUNCT
fis-1244	308	8	munthe	munthe	PROPN
fis-1244	308	9	-	-	PUNCT
fis-1244	308	10	kaas	kaas	NOUN
fis-1244	308	11	,	,	PUNCT
fis-1244	308	12	h.z	h.z	PROPN
fis-1244	308	13	.	.	PROPN
fis-1244	308	14	,	,	PUNCT
fis-1244	308	15	norsett	norsett	PROPN
fis-1244	308	16	,	,	PUNCT
fis-1244	308	17	s.p	s.p	PROPN
fis-1244	308	18	.	.	PROPN
fis-1244	308	19	,	,	PUNCT
fis-1244	308	20	zanna	zanna	PROPN
fis-1244	308	21	,	,	PUNCT
fis-1244	308	22	a.	a.	PROPN
fis-1244	308	23	,	,	PUNCT
fis-1244	308	24	lie	lie	NOUN
fis-1244	308	25	-	-	PUNCT
fis-1244	308	26	group	group	NOUN
fis-1244	308	27	methods	method	NOUN
fis-1244	308	28	,	,	PUNCT
fis-1244	308	29	acta	acta	PROPN
fis-1244	308	30	numer	numer	PROPN
fis-1244	308	31	.	.	PROPN
fis-1244	308	32	,	,	PUNCT
fis-1244	308	33	9	9	NUM
fis-1244	308	34	(	(	PUNCT
fis-1244	308	35	2000	2000	NUM
fis-1244	308	36	)	)	PUNCT
fis-1244	308	37	215	215	NUM
fis-1244	308	38	–	–	PUNCT
fis-1244	308	39	365	365	NUM
fis-1244	308	40	.	.	PUNCT
fis-1244	309	1	[	[	X
fis-1244	309	2	7	7	NUM
fis-1244	309	3	]	]	X
fis-1244	309	4	iserles	iserle	NOUN
fis-1244	309	5	,	,	PUNCT
fis-1244	309	6	a.	a.	NOUN
fis-1244	309	7	,	,	PUNCT
fis-1244	309	8	norsett	norsett	PROPN
fis-1244	309	9	,	,	PUNCT
fis-1244	309	10	s.p	s.p	PROPN
fis-1244	309	11	.	.	PROPN
fis-1244	309	12	,	,	PUNCT
fis-1244	309	13	on	on	ADP
fis-1244	309	14	the	the	DET
fis-1244	309	15	solution	solution	NOUN
fis-1244	309	16	of	of	ADP
fis-1244	309	17	linear	linear	PROPN
fis-1244	309	18	differential	differential	ADJ
fis-1244	309	19	equations	equation	NOUN
fis-1244	309	20	in	in	ADP
fis-1244	309	21	lie	lie	NOUN
fis-1244	309	22	groups	group	NOUN
fis-1244	309	23	,	,	PUNCT
fis-1244	309	24	phil	phil	PROPN
fis-1244	309	25	.	.	PUNCT
fis-1244	310	1	trans	trans	PROPN
fis-1244	310	2	.	.	PUNCT
fis-1244	310	3	r.	r.	PROPN
fis-1244	310	4	soc	soc	PROPN
fis-1244	310	5	.	.	PUNCT
fis-1244	311	1	a	a	DET
fis-1244	311	2	,	,	PUNCT
fis-1244	311	3	357	357	NUM
fis-1244	311	4	(	(	PUNCT
fis-1244	311	5	1999	1999	NUM
fis-1244	311	6	)	)	PUNCT
fis-1244	311	7	983	983	NUM
fis-1244	311	8	–	–	PUNCT
fis-1244	311	9	1019	1019	NUM
fis-1244	311	10	.	.	PUNCT
fis-1244	312	1	[	[	X
fis-1244	312	2	8	8	NUM
fis-1244	312	3	]	]	X
fis-1244	312	4	budd	budd	PROPN
fis-1244	312	5	,	,	PUNCT
fis-1244	312	6	c.	c.	PROPN
fis-1244	312	7	j.	j.	PROPN
fis-1244	312	8	,	,	PUNCT
fis-1244	312	9	piggott	piggott	PROPN
fis-1244	312	10	,	,	PUNCT
fis-1244	312	11	m.d	m.d	PROPN
fis-1244	312	12	.	.	PROPN
fis-1244	312	13	,	,	PUNCT
fis-1244	312	14	the	the	DET
fis-1244	312	15	geometric	geometric	ADJ
fis-1244	312	16	integration	integration	NOUN
fis-1244	312	17	of	of	ADP
fis-1244	312	18	scale	scale	NOUN
fis-1244	312	19	-	-	PUNCT
fis-1244	312	20	invariant	invariant	ADJ
fis-1244	312	21	ordinary	ordinary	ADJ
fis-1244	312	22	and	and	CCONJ
fis-1244	312	23	partial	partial	ADJ
fis-1244	312	24	differential	differential	NOUN
fis-1244	312	25	equations	equation	NOUN
fis-1244	312	26	,	,	PUNCT
fis-1244	312	27	j.	j.	PROPN
fis-1244	312	28	of	of	ADP
fis-1244	312	29	comput	comput	PROPN
fis-1244	312	30	.	.	PUNCT
fis-1244	313	1	and	and	CCONJ
fis-1244	313	2	appl	appl	PROPN
fis-1244	313	3	.	.	PUNCT
fis-1244	314	1	mathematics	mathematic	NOUN
fis-1244	314	2	,	,	PUNCT
fis-1244	314	3	128	128	NUM
fis-1244	314	4	(	(	PUNCT
fis-1244	314	5	2001	2001	NUM
fis-1244	314	6	)	)	PUNCT
fis-1244	314	7	399	399	NUM
fis-1244	314	8	–	–	PUNCT
fis-1244	314	9	422	422	NUM
fis-1244	314	10	.	.	PUNCT
fis-1244	315	1	[	[	X
fis-1244	315	2	9	9	NUM
fis-1244	315	3	]	]	X
fis-1244	315	4	schek	schek	PROPN
fis-1244	315	5	,	,	PUNCT
fis-1244	315	6	i.	i.	PROPN
fis-1244	315	7	,	,	PUNCT
fis-1244	315	8	jortner	jortner	PROPN
fis-1244	315	9	,	,	PUNCT
fis-1244	315	10	i.	i.	NOUN
fis-1244	315	11	,	,	PUNCT
fis-1244	315	12	sage	sage	NOUN
fis-1244	315	13	,	,	PUNCT
fis-1244	315	14	m.l	m.l	PROPN
fis-1244	315	15	.	.	PROPN
fis-1244	315	16	,	,	PUNCT
fis-1244	315	17	application	application	NOUN
fis-1244	315	18	of	of	ADP
fis-1244	315	19	the	the	DET
fis-1244	315	20	magnus	magnus	PROPN
fis-1244	315	21	expansion	expansion	NOUN
fis-1244	315	22	for	for	ADP
fis-1244	315	23	higher	high	ADJ
fis-1244	315	24	-	-	PUNCT
fis-1244	315	25	order	order	NOUN
fis-1244	315	26	multiphoton	multiphoton	NOUN
fis-1244	315	27	excitation	excitation	NOUN
fis-1244	315	28	,	,	PUNCT
fis-1244	315	29	chem	chem	NOUN
fis-1244	315	30	.	.	PUNCT
fis-1244	316	1	phys	phy	NOUN
fis-1244	316	2	.	.	PUNCT
fis-1244	316	3	,	,	PUNCT
fis-1244	316	4	59	59	NUM
fis-1244	316	5	(	(	PUNCT
fis-1244	316	6	1981	1981	NUM
fis-1244	316	7	)	)	PUNCT
fis-1244	316	8	11	11	NUM
fis-1244	316	9	–	–	PUNCT
fis-1244	316	10	27	27	NUM
fis-1244	316	11	.	.	PUNCT
fis-1244	317	1	[	[	X
fis-1244	317	2	10	10	NUM
fis-1244	317	3	]	]	X
fis-1244	317	4	botchev	botchev	PROPN
fis-1244	317	5	,	,	PUNCT
fis-1244	317	6	m.a	m.a	PROPN
fis-1244	317	7	.	.	PROPN
fis-1244	317	8	,	,	PUNCT
fis-1244	317	9	verwer	verwer	NOUN
fis-1244	317	10	,	,	PUNCT
fis-1244	317	11	j.g	j.g	PROPN
fis-1244	317	12	..	..	PROPN
fis-1244	317	13	,	,	PUNCT
fis-1244	317	14	numerical	numerical	ADJ
fis-1244	317	15	integration	integration	NOUN
fis-1244	317	16	of	of	ADP
fis-1244	317	17	damped	damped	PROPN
fis-1244	317	18	maxwell	maxwell	PROPN
fis-1244	317	19	equations	equations	PROPN
fis-1244	317	20	,	,	PUNCT
fis-1244	317	21	technical	technical	ADJ
fis-1244	317	22	report	report	PROPN
fis-1244	317	23	cwi	cwi	PROPN
fis-1244	317	24	amsterdam	amsterdam	PROPN
fis-1244	317	25	(	(	PUNCT
fis-1244	317	26	2008	2008	NUM
fis-1244	317	27	)	)	PUNCT
fis-1244	317	28	.	.	PUNCT
fis-1244	318	1	[	[	X
fis-1244	318	2	11	11	NUM
fis-1244	318	3	]	]	X
fis-1244	318	4	viswanath	viswanath	NOUN
fis-1244	318	5	,	,	PUNCT
fis-1244	318	6	d.	d.	PROPN
fis-1244	318	7	,	,	PUNCT
fis-1244	318	8	symbolic	symbolic	ADJ
fis-1244	318	9	dynamics	dynamic	NOUN
fis-1244	318	10	and	and	CCONJ
fis-1244	318	11	periodic	periodic	ADJ
fis-1244	318	12	orbits	orbit	NOUN
fis-1244	318	13	of	of	ADP
fis-1244	318	14	the	the	DET
fis-1244	318	15	lorenz	lorenz	PROPN
fis-1244	318	16	attractor	attractor	NOUN
fis-1244	318	17	,	,	PUNCT
fis-1244	318	18	nonlinearity	nonlinearity	NOUN
fis-1244	318	19	,	,	PUNCT
fis-1244	318	20	16	16	NUM
fis-1244	318	21	(	(	PUNCT
fis-1244	318	22	2003	2003	NUM
fis-1244	318	23	)	)	PUNCT
fis-1244	318	24	1035	1035	NUM
fis-1244	318	25	–	–	PUNCT
fis-1244	318	26	1056	1056	NUM
fis-1244	318	27	.	.	PUNCT
fis-1244	319	1	[	[	X
fis-1244	319	2	12	12	NUM
fis-1244	319	3	]	]	X
fis-1244	319	4	moan	moan	NOUN
fis-1244	319	5	,	,	PUNCT
fis-1244	319	6	p.c	p.c	PROPN
fis-1244	319	7	.	.	PROPN
fis-1244	319	8	,	,	PUNCT
fis-1244	319	9	niesen	niesen	PROPN
fis-1244	319	10	,	,	PUNCT
fis-1244	319	11	j.	j.	PROPN
fis-1244	319	12	,	,	PUNCT
fis-1244	319	13	convegence	convegence	NOUN
fis-1244	319	14	of	of	ADP
fis-1244	319	15	the	the	DET
fis-1244	319	16	magnus	magnus	PROPN
fis-1244	319	17	series	series	PROPN
fis-1244	319	18	,	,	PUNCT
fis-1244	319	19	found	find	VERB
fis-1244	319	20	.	.	PUNCT
fis-1244	320	1	comput	comput	NOUN
fis-1244	320	2	.	.	PUNCT
fis-1244	321	1	math	math	NOUN
fis-1244	321	2	.	.	PUNCT
fis-1244	322	1	,	,	PUNCT
fis-1244	322	2	8	8	NUM
fis-1244	322	3	(	(	PUNCT
fis-1244	322	4	20089	20089	NUM
fis-1244	322	5	291	291	NUM
fis-1244	322	6	–	–	PUNCT
fis-1244	322	7	301	301	NUM
fis-1244	322	8	.	.	PUNCT
fis-1244	323	1	[	[	X
fis-1244	323	2	13	13	NUM
fis-1244	323	3	]	]	X
fis-1244	323	4	[	[	X
fis-1244	323	5	13	13	NUM
fis-1244	323	6	]	]	SYM
fis-1244	323	7	moler	moler	NOUN
fis-1244	323	8	,	,	PUNCT
fis-1244	323	9	c.	c.	PROPN
fis-1244	323	10	b.	b.	PROPN
fis-1244	323	11	,	,	PUNCT
fis-1244	323	12	van	van	PROPN
fis-1244	323	13	loan	loan	PROPN
fis-1244	323	14	,	,	PUNCT
fis-1244	323	15	c.	c.	PROPN
fis-1244	323	16	f.	f.	PROPN
fis-1244	323	17	,	,	PUNCT
fis-1244	323	18	nineteen	nineteen	NUM
fis-1244	323	19	dubious	dubious	ADJ
fis-1244	323	20	ways	way	NOUN
fis-1244	323	21	to	to	PART
fis-1244	323	22	compute	compute	VERB
fis-1244	323	23	the	the	DET
fis-1244	323	24	exponential	exponential	NOUN
fis-1244	323	25	of	of	ADP
fis-1244	323	26	a	a	DET
fis-1244	323	27	matrix	matrix	NOUN
fis-1244	323	28	,	,	PUNCT
fis-1244	323	29	twenty	twenty	NUM
fis-1244	323	30	-	-	PUNCT
fis-1244	323	31	five	five	NUM
fis-1244	323	32	years	year	NOUN
fis-1244	323	33	later	later	ADV
fis-1244	323	34	,	,	PUNCT
fis-1244	323	35	siam	siam	PROPN
fis-1244	323	36	review	review	NOUN
fis-1244	323	37	,	,	PUNCT
fis-1244	323	38	45	45	NUM
fis-1244	323	39	(	(	PUNCT
fis-1244	323	40	2003	2003	NUM
fis-1244	323	41	)	)	PUNCT
fis-1244	323	42	,	,	PUNCT
fis-1244	323	43	3	3	NUM
fis-1244	323	44	–	–	SYM
fis-1244	323	45	49	49	NUM
fis-1244	323	46	.	.	PUNCT
fis-1244	324	1	[	[	X
fis-1244	324	2	14	14	NUM
fis-1244	324	3	]	]	X
fis-1244	324	4	celledoni	celledoni	NOUN
fis-1244	324	5	,	,	PUNCT
fis-1244	324	6	e.	e.	PROPN
fis-1244	324	7	,	,	PUNCT
fis-1244	324	8	iserles	iserle	NOUN
fis-1244	324	9	,	,	PUNCT
fis-1244	324	10	a.	a.	NOUN
fis-1244	324	11	,	,	PUNCT
fis-1244	324	12	approximating	approximate	VERB
fis-1244	324	13	the	the	DET
fis-1244	324	14	exponential	exponential	NOUN
fis-1244	324	15	from	from	ADP
fis-1244	324	16	a	a	DET
fis-1244	324	17	lie	lie	NOUN
fis-1244	324	18	algebra	algebra	NOUN
fis-1244	324	19	to	to	ADP
fis-1244	324	20	a	a	DET
fis-1244	324	21	lie	lie	NOUN
fis-1244	324	22	group	group	NOUN
fis-1244	324	23	,	,	PUNCT
fis-1244	324	24	math	math	NOUN
fis-1244	324	25	.	.	PUNCT
fis-1244	325	1	comput	comput	NOUN
fis-1244	325	2	.	.	PUNCT
fis-1244	325	3	,	,	PUNCT
fis-1244	325	4	69	69	NUM
fis-1244	325	5	(	(	PUNCT
fis-1244	325	6	2000	2000	NUM
fis-1244	325	7	)	)	PUNCT
fis-1244	325	8	1457	1457	NUM
fis-1244	325	9	–	–	PUNCT
fis-1244	325	10	1480	1480	NUM
fis-1244	325	11	.	.	PUNCT
fis-1244	326	1	[	[	X
fis-1244	326	2	15	15	NUM
fis-1244	326	3	]	]	X
fis-1244	326	4	iserles	iserle	NOUN
fis-1244	326	5	,	,	PUNCT
fis-1244	326	6	a.	a.	NOUN
fis-1244	326	7	,	,	PUNCT
fis-1244	326	8	on	on	ADP
fis-1244	326	9	cayley	cayley	ADJ
fis-1244	326	10	-	-	PUNCT
fis-1244	326	11	transform	transform	NOUN
fis-1244	326	12	methods	method	NOUN
fis-1244	326	13	for	for	ADP
fis-1244	326	14	the	the	DET
fis-1244	326	15	discretization	discretization	NOUN
fis-1244	326	16	of	of	ADP
fis-1244	326	17	lie	lie	NOUN
fis-1244	326	18	-	-	PUNCT
fis-1244	326	19	group	group	NOUN
fis-1244	326	20	equations	equation	NOUN
fis-1244	326	21	,	,	PUNCT
fis-1244	326	22	found	find	VERB
fis-1244	326	23	.	.	PUNCT
fis-1244	327	1	comput	comput	NOUN
fis-1244	327	2	.	.	PUNCT
fis-1244	328	1	math	math	NOUN
fis-1244	328	2	.	.	PUNCT
fis-1244	329	1	,	,	PUNCT
fis-1244	329	2	1	1	NUM
fis-1244	329	3	(	(	PUNCT
fis-1244	329	4	2000	2000	NUM
fis-1244	329	5	)	)	PUNCT
fis-1244	329	6	129	129	NUM
fis-1244	329	7	–	–	PUNCT
fis-1244	329	8	160	160	NUM
fis-1244	329	9	.	.	PUNCT
fis-1244	330	1	[	[	X
fis-1244	330	2	16	16	NUM
fis-1244	330	3	]	]	X
fis-1244	330	4	haughton	haughton	PROPN
fis-1244	330	5	d.m	d.m	PROPN
fis-1244	330	6	.	.	PROPN
fis-1244	330	7	,	,	PUNCT
fis-1244	330	8	circular	circular	ADJ
fis-1244	330	9	shearing	shearing	NOUN
fis-1244	330	10	of	of	ADP
fis-1244	330	11	compressible	compressible	ADJ
fis-1244	330	12	elastic	elastic	ADJ
fis-1244	330	13	cylinders	cylinder	NOUN
fis-1244	330	14	,	,	PUNCT
fis-1244	330	15	q.	q.	PROPN
fis-1244	330	16	jl	jl	PROPN
fis-1244	330	17	.	.	PROPN
fis-1244	330	18	mech	mech	PROPN
fis-1244	330	19	.	.	PUNCT
fis-1244	331	1	appl	appl	PROPN
fis-1244	331	2	.	.	PROPN
fis-1244	331	3	math	math	PROPN
fis-1244	331	4	.	.	PUNCT
fis-1244	332	1	,	,	PUNCT
fis-1244	332	2	46	46	NUM
fis-1244	332	3	(	(	PUNCT
fis-1244	332	4	1993	1993	NUM
fis-1244	332	5	)	)	PUNCT
fis-1244	332	6	471	471	NUM
fis-1244	332	7	–	–	PUNCT
fis-1244	332	8	486	486	NUM
fis-1244	332	9	.	.	PUNCT
fis-1244	333	1	[	[	X
fis-1244	333	2	17	17	NUM
fis-1244	333	3	]	]	PUNCT
fis-1244	333	4	fosdick	fosdick	PROPN
fis-1244	333	5	r.	r.	PROPN
fis-1244	333	6	,	,	PUNCT
fis-1244	333	7	foti	foti	PROPN
fis-1244	333	8	p.	p.	PROPN
fis-1244	333	9	,	,	PUNCT
fis-1244	333	10	fraddosio	fraddosio	PROPN
fis-1244	333	11	a.	a.	PROPN
fis-1244	333	12	,	,	PUNCT
fis-1244	333	13	marzano	marzano	PROPN
fis-1244	333	14	s.	s.	PROPN
fis-1244	333	15	,	,	PUNCT
fis-1244	333	16	shear	shear	NOUN
fis-1244	333	17	driven	drive	VERB
fis-1244	333	18	planar	planar	ADJ
fis-1244	333	19	couette	couette	NOUN
fis-1244	333	20	and	and	CCONJ
fis-1244	333	21	taylor	taylor	PROPN
fis-1244	333	22	-	-	PUNCT
fis-1244	333	23	like	like	ADJ
fis-1244	333	24	instabilities	instability	NOUN
fis-1244	333	25	for	for	ADP
fis-1244	333	26	a	a	DET
fis-1244	333	27	class	class	NOUN
fis-1244	333	28	of	of	ADP
fis-1244	333	29	compressible	compressible	ADJ
fis-1244	333	30	isotropic	isotropic	ADJ
fis-1244	333	31	elastic	elastic	ADJ
fis-1244	333	32	solids	solid	NOUN
fis-1244	333	33	,	,	PUNCT
fis-1244	333	34	zamp	zamp	NOUN
fis-1244	333	35	,	,	PUNCT
fis-1244	333	36	61	61	NUM
fis-1244	333	37	(	(	PUNCT
fis-1244	333	38	2010	2010	NUM
fis-1244	333	39	)	)	PUNCT
fis-1244	333	40	537	537	NUM
fis-1244	333	41	–	–	PUNCT
fis-1244	333	42	554	554	NUM
fis-1244	333	43	.	.	PUNCT
fis-1244	334	1	[	[	X
fis-1244	334	2	18	18	NUM
fis-1244	334	3	]	]	PUNCT
fis-1244	334	4	fosdick	fosdick	PROPN
fis-1244	334	5	r.	r.	PROPN
fis-1244	334	6	,	,	PUNCT
fis-1244	334	7	foti	foti	PROPN
fis-1244	334	8	p.	p.	PROPN
fis-1244	334	9	,	,	PUNCT
fis-1244	334	10	fraddosio	fraddosio	PROPN
fis-1244	334	11	a.	a.	PROPN
fis-1244	334	12	,	,	PUNCT
fis-1244	334	13	marzano	marzano	PROPN
fis-1244	334	14	s.	s.	PROPN
fis-1244	334	15	,	,	PUNCT
fis-1244	334	16	piccioni	piccioni	NOUN
fis-1244	334	17	,	,	PUNCT
fis-1244	334	18	m.	m.	NOUN
fis-1244	334	19	d.	d.	PROPN
fis-1244	334	20	,	,	PUNCT
fis-1244	334	21	taylor	taylor	PROPN
fis-1244	334	22	-	-	PUNCT
fis-1244	334	23	like	like	ADJ
fis-1244	334	24	bifurcations	bifurcation	NOUN
fis-1244	334	25	for	for	ADP
fis-1244	334	26	a	a	DET
fis-1244	334	27	compressible	compressible	ADJ
fis-1244	334	28	isotropic	isotropic	ADJ
fis-1244	334	29	elastic	elastic	ADJ
fis-1244	334	30	tube	tube	NOUN
fis-1244	334	31	,	,	PUNCT
fis-1244	334	32	mathematics	mathematic	NOUN
fis-1244	334	33	and	and	CCONJ
fis-1244	334	34	mechanics	mechanic	NOUN
fis-1244	334	35	of	of	ADP
fis-1244	334	36	solids	solid	NOUN
fis-1244	334	37	(	(	PUNCT
fis-1244	334	38	mms	mms	NOUN
fis-1244	334	39	)	)	PUNCT
fis-1244	334	40	,	,	PUNCT
fis-1244	334	41	published	publish	VERB
fis-1244	334	42	on	on	ADP
fis-1244	334	43	line	line	NOUN
fis-1244	334	44	(	(	PUNCT
fis-1244	334	45	2013	2013	NUM
fis-1244	334	46	)	)	PUNCT
fis-1244	334	47	issn	issn	PROPN
fis-1244	334	48	:	:	PUNCT
fis-1244	334	49	1081	1081	NUM
fis-1244	334	50	-	-	SYM
fis-1244	334	51	2865	2865	NUM
fis-1244	334	52	,	,	PUNCT
fis-1244	334	53	doi	doi	NOUN
fis-1244	334	54	:	:	PUNCT
fis-1244	334	55	10.1177/1081286513496576	10.1177/1081286513496576	NUM
fis-1244	334	56	.	.	PUNCT
fis-1244	335	1	[	[	X
fis-1244	335	2	19	19	NUM
fis-1244	335	3	]	]	PUNCT
fis-1244	335	4	fosdick	fosdick	PROPN
fis-1244	335	5	,	,	PUNCT
fis-1244	335	6	r.	r.	PROPN
fis-1244	335	7	,	,	PUNCT
fis-1244	335	8	foti	foti	PROPN
fis-1244	335	9	,	,	PUNCT
fis-1244	335	10	p.	p.	NOUN
fis-1244	335	11	,	,	PUNCT
fis-1244	335	12	fraddosio	fraddosio	PROPN
fis-1244	335	13	,	,	PUNCT
fis-1244	335	14	a.	a.	NOUN
fis-1244	335	15	,	,	PUNCT
fis-1244	335	16	piccioni	piccioni	PROPN
fis-1244	335	17	,	,	PUNCT
fis-1244	335	18	m.d	m.d	PROPN
fis-1244	335	19	.	.	PROPN
fis-1244	335	20	,	,	PUNCT
fis-1244	335	21	lower	low	ADJ
fis-1244	335	22	bound	bind	VERB
fis-1244	335	23	estimate	estimate	NOUN
fis-1244	335	24	of	of	ADP
fis-1244	335	25	critical	critical	ADJ
fis-1244	335	26	loads	load	NOUN
fis-1244	335	27	for	for	ADP
fis-1244	335	28	isotropic	isotropic	ADJ
fis-1244	335	29	elastic	elastic	ADJ
fis-1244	335	30	solids	solid	NOUN
fis-1244	335	31	,	,	PUNCT
fis-1244	335	32	cont	cont	NOUN
fis-1244	335	33	.	.	PUNCT
fis-1244	335	34	mech	mech	PROPN
fis-1244	335	35	.	.	PUNCT
fis-1244	336	1	and	and	CCONJ
fis-1244	336	2	thermodynamics	thermodynamic	NOUN
fis-1244	336	3	(	(	PUNCT
fis-1244	336	4	cmt	cmt	PROPN
fis-1244	336	5	)	)	PUNCT
fis-1244	336	6	,	,	PUNCT
fis-1244	336	7	22	22	NUM
fis-1244	336	8	(	(	PUNCT
fis-1244	336	9	2010	2010	NUM
fis-1244	336	10	)	)	PUNCT
fis-1244	336	11	77	77	NUM
fis-1244	336	12	–	–	PUNCT
fis-1244	336	13	97	97	NUM
fis-1244	336	14	.	.	PUNCT
fis-1244	337	1	[	[	X
fis-1244	337	2	20	20	NUM
fis-1244	337	3	]	]	PUNCT
fis-1244	337	4	fosdick	fosdick	PROPN
fis-1244	337	5	r.	r.	PROPN
fis-1244	337	6	,	,	PUNCT
fis-1244	337	7	foti	foti	PROPN
fis-1244	337	8	p.	p.	PROPN
fis-1244	337	9	,	,	PUNCT
fis-1244	337	10	fraddosio	fraddosio	PROPN
fis-1244	337	11	a.	a.	PROPN
fis-1244	337	12	,	,	PUNCT
fis-1244	337	13	marzano	marzano	PROPN
fis-1244	337	14	s.	s.	PROPN
fis-1244	337	15	,	,	PUNCT
fis-1244	337	16	piccioni	piccioni	NOUN
fis-1244	337	17	,	,	PUNCT
fis-1244	337	18	m.	m.	NOUN
fis-1244	337	19	d.	d.	PROPN
fis-1244	337	20	,	,	PUNCT
fis-1244	337	21	a	a	DET
fis-1244	337	22	lower	lower	ADV
fis-1244	337	23	bound	bind	VERB
fis-1244	337	24	estimate	estimate	NOUN
fis-1244	337	25	of	of	ADP
fis-1244	337	26	the	the	DET
fis-1244	337	27	critical	critical	ADJ
fis-1244	337	28	load	load	NOUN
fis-1244	337	29	in	in	ADP
fis-1244	337	30	bifurcation	bifurcation	NOUN
fis-1244	337	31	analysis	analysis	NOUN
fis-1244	337	32	for	for	ADP
fis-1244	337	33	incompressible	incompressible	ADJ
fis-1244	337	34	elastic	elastic	ADJ
fis-1244	337	35	solids	solid	NOUN
fis-1244	337	36	,	,	PUNCT
fis-1244	337	37	mathematics	mathematic	NOUN
fis-1244	337	38	and	and	CCONJ
fis-1244	337	39	mechanics	mechanic	NOUN
fis-1244	337	40	of	of	ADP
fis-1244	337	41	solids	solid	NOUN
fis-1244	337	42	(	(	PUNCT
fis-1244	337	43	mms	mms	NOUN
fis-1244	337	44	)	)	PUNCT
fis-1244	337	45	,	,	PUNCT
fis-1244	337	46	invited	invite	VERB
fis-1244	337	47	contribution	contribution	NOUN
fis-1244	337	48	on	on	ADP
fis-1244	337	49	the	the	DET
fis-1244	337	50	special	special	ADJ
fis-1244	337	51	number	number	NOUN
fis-1244	337	52	in	in	ADP
fis-1244	337	53	honor	honor	NOUN
fis-1244	337	54	of	of	ADP
fis-1244	337	55	k.r	k.r	PROPN
fis-1244	337	56	.	.	PROPN
fis-1244	337	57	rajagopal	rajagopal	PROPN
fis-1244	337	58	,	,	PUNCT
fis-1244	337	59	(	(	PUNCT
fis-1244	337	60	2014	2014	NUM
fis-1244	337	61	)	)	PUNCT
fis-1244	337	62	.	.	PUNCT
fis-1244	338	1	[	[	X
fis-1244	338	2	21	21	NUM
fis-1244	338	3	]	]	X
fis-1244	338	4	pease	pease	PROPN
fis-1244	338	5	iii	iii	PROPN
fis-1244	338	6	,	,	PUNCT
fis-1244	338	7	m.c	m.c	PROPN
fis-1244	338	8	..	..	PROPN
fis-1244	338	9	methods	method	NOUN
fis-1244	338	10	of	of	ADP
fis-1244	338	11	matrix	matrix	NOUN
fis-1244	338	12	algebra	algebra	NOUN
fis-1244	338	13	,	,	PUNCT
fis-1244	338	14	academic	academic	ADJ
fis-1244	338	15	press	press	NOUN
fis-1244	338	16	,	,	PUNCT
fis-1244	338	17	new	new	PROPN
fis-1244	338	18	york	york	PROPN
fis-1244	338	19	and	and	CCONJ
fis-1244	338	20	london	london	PROPN
fis-1244	338	21	,	,	PUNCT
fis-1244	338	22	(	(	PUNCT
fis-1244	338	23	1965	1965	NUM
fis-1244	338	24	)	)	PUNCT
fis-1244	338	25	.	.	PUNCT