id	sid	tid	token	lemma	pos
ap-1285	1	1	ap-6-10.dvi	ap-6-10.dvi	PROPN
ap-1285	1	2	acta	acta	PROPN
ap-1285	1	3	polytechnica	polytechnica	PROPN
ap-1285	1	4	vol	vol	NOUN
ap-1285	1	5	.	.	PROPN
ap-1285	1	6	50	50	NUM
ap-1285	1	7	no	no	NOUN
ap-1285	1	8	.	.	PUNCT
ap-1285	2	1	6/2010	6/2010	NUM
ap-1285	2	2	fractality	fractality	NOUN
ap-1285	2	3	of	of	ADP
ap-1285	2	4	fracture	fracture	NOUN
ap-1285	2	5	surfaces	surface	NOUN
ap-1285	2	6	t.	t.	PROPN
ap-1285	2	7	ficker	ficker	PROPN
ap-1285	2	8	abstract	abstract	ADJ
ap-1285	2	9	a	a	DET
ap-1285	2	10	recently	recently	ADV
ap-1285	2	11	published	publish	VERB
ap-1285	2	12	fractal	fractal	ADJ
ap-1285	2	13	model	model	NOUN
ap-1285	2	14	of	of	ADP
ap-1285	2	15	the	the	DET
ap-1285	2	16	fracture	fracture	NOUN
ap-1285	2	17	surfaces	surface	NOUN
ap-1285	2	18	of	of	ADP
ap-1285	2	19	porous	porous	ADJ
ap-1285	2	20	materials	material	NOUN
ap-1285	2	21	is	be	AUX
ap-1285	2	22	discussed	discuss	VERB
ap-1285	2	23	,	,	PUNCT
ap-1285	2	24	and	and	CCONJ
ap-1285	2	25	a	a	DET
ap-1285	2	26	series	series	NOUN
ap-1285	2	27	of	of	ADP
ap-1285	2	28	explanatory	explanatory	ADJ
ap-1285	2	29	remarks	remark	NOUN
ap-1285	2	30	are	be	AUX
ap-1285	2	31	added	add	VERB
ap-1285	2	32	.	.	PUNCT
ap-1285	3	1	the	the	DET
ap-1285	3	2	model	model	NOUN
ap-1285	3	3	has	have	AUX
ap-1285	3	4	revealed	reveal	VERB
ap-1285	3	5	a	a	DET
ap-1285	3	6	functional	functional	ADJ
ap-1285	3	7	dependence	dependence	NOUN
ap-1285	3	8	of	of	ADP
ap-1285	3	9	the	the	DET
ap-1285	3	10	compressive	compressive	ADJ
ap-1285	3	11	strength	strength	NOUN
ap-1285	3	12	of	of	ADP
ap-1285	3	13	porous	porous	ADJ
ap-1285	3	14	materials	material	NOUN
ap-1285	3	15	on	on	ADP
ap-1285	3	16	the	the	DET
ap-1285	3	17	fractal	fractal	ADJ
ap-1285	3	18	dimension	dimension	NOUN
ap-1285	3	19	of	of	ADP
ap-1285	3	20	fracture	fracture	NOUN
ap-1285	3	21	surfaces	surface	NOUN
ap-1285	3	22	.	.	PUNCT
ap-1285	4	1	this	this	DET
ap-1285	4	2	dependence	dependence	NOUN
ap-1285	4	3	has	have	AUX
ap-1285	4	4	also	also	ADV
ap-1285	4	5	been	be	AUX
ap-1285	4	6	confirmed	confirm	VERB
ap-1285	4	7	experimentally	experimentally	ADV
ap-1285	4	8	.	.	PUNCT
ap-1285	5	1	the	the	DET
ap-1285	5	2	explanatory	explanatory	ADJ
ap-1285	5	3	remarks	remark	NOUN
ap-1285	5	4	provide	provide	VERB
ap-1285	5	5	a	a	DET
ap-1285	5	6	basis	basis	NOUN
ap-1285	5	7	for	for	ADP
ap-1285	5	8	better	well	ADV
ap-1285	5	9	establishing	establish	VERB
ap-1285	5	10	the	the	DET
ap-1285	5	11	model	model	NOUN
ap-1285	5	12	.	.	PUNCT
ap-1285	6	1	keywords	keyword	NOUN
ap-1285	6	2	:	:	PUNCT
ap-1285	6	3	fractal	fractal	ADJ
ap-1285	6	4	dimension	dimension	NOUN
ap-1285	6	5	,	,	PUNCT
ap-1285	6	6	fracture	fracture	NOUN
ap-1285	6	7	surfaces	surface	NOUN
ap-1285	6	8	,	,	PUNCT
ap-1285	6	9	porous	porous	ADJ
ap-1285	6	10	materials	material	NOUN
ap-1285	6	11	,	,	PUNCT
ap-1285	6	12	compressive	compressive	ADJ
ap-1285	6	13	strength	strength	NOUN
ap-1285	6	14	.	.	PUNCT
ap-1285	7	1	1	1	NUM
ap-1285	7	2	introduction	introduction	NOUN
ap-1285	7	3	mandelbrot	mandelbrot	NOUN
ap-1285	7	4	and	and	CCONJ
ap-1285	7	5	his	his	PRON
ap-1285	7	6	co	co	NOUN
ap-1285	7	7	-	-	NOUN
ap-1285	7	8	workers	worker	NOUN
ap-1285	7	9	[	[	X
ap-1285	7	10	1	1	X
ap-1285	7	11	]	]	PUNCT
ap-1285	7	12	started	start	VERB
ap-1285	7	13	fractal	fractal	ADJ
ap-1285	7	14	research	research	NOUN
ap-1285	7	15	of	of	ADP
ap-1285	7	16	fracture	fracture	NOUN
ap-1285	7	17	surfaces	surface	NOUN
ap-1285	7	18	of	of	ADP
ap-1285	7	19	solid	solid	ADJ
ap-1285	7	20	materials	material	NOUN
ap-1285	7	21	.	.	PUNCT
ap-1285	8	1	after	after	SCONJ
ap-1285	8	2	their	their	PRON
ap-1285	8	3	pioneering	pioneer	VERB
ap-1285	8	4	work	work	NOUN
ap-1285	8	5	had	have	AUX
ap-1285	8	6	been	be	AUX
ap-1285	8	7	published	publish	VERB
ap-1285	8	8	,	,	PUNCT
ap-1285	8	9	many	many	ADJ
ap-1285	8	10	other	other	ADJ
ap-1285	8	11	authors	author	NOUN
ap-1285	8	12	[	[	X
ap-1285	8	13	2	2	NUM
ap-1285	8	14	,	,	PUNCT
ap-1285	8	15	3	3	NUM
ap-1285	8	16	,	,	PUNCT
ap-1285	8	17	4	4	NUM
ap-1285	8	18	,	,	PUNCT
ap-1285	8	19	5	5	NUM
ap-1285	8	20	]	]	PUNCT
ap-1285	8	21	tried	try	VERB
ap-1285	8	22	to	to	PART
ap-1285	8	23	correlate	correlate	VERB
ap-1285	8	24	the	the	DET
ap-1285	8	25	fractal	fractal	ADJ
ap-1285	8	26	properties	property	NOUN
ap-1285	8	27	of	of	ADP
ap-1285	8	28	fracture	fracture	NOUN
ap-1285	8	29	surfaces	surface	NOUN
ap-1285	8	30	with	with	ADP
ap-1285	8	31	the	the	DET
ap-1285	8	32	mechanical	mechanical	ADJ
ap-1285	8	33	quantities	quantity	NOUN
ap-1285	8	34	of	of	ADP
ap-1285	8	35	materials	material	NOUN
ap-1285	8	36	.	.	PUNCT
ap-1285	9	1	due	due	ADP
ap-1285	9	2	to	to	ADP
ap-1285	9	3	the	the	DET
ap-1285	9	4	complexity	complexity	NOUN
ap-1285	9	5	of	of	ADP
ap-1285	9	6	these	these	DET
ap-1285	9	7	surfaces	surface	NOUN
ap-1285	9	8	,	,	PUNCT
ap-1285	9	9	especially	especially	ADV
ap-1285	9	10	with	with	ADP
ap-1285	9	11	composite	composite	ADJ
ap-1285	9	12	materials	material	NOUN
ap-1285	9	13	,	,	PUNCT
ap-1285	9	14	the	the	DET
ap-1285	9	15	results	result	NOUN
ap-1285	9	16	of	of	ADP
ap-1285	9	17	such	such	ADJ
ap-1285	9	18	studies	study	NOUN
ap-1285	9	19	were	be	AUX
ap-1285	9	20	not	not	PART
ap-1285	9	21	consistent	consistent	ADJ
ap-1285	9	22	,	,	PUNCT
ap-1285	9	23	sometimes	sometimes	ADV
ap-1285	9	24	even	even	ADV
ap-1285	9	25	contradictory	contradictory	ADJ
ap-1285	9	26	.	.	PUNCT
ap-1285	10	1	good	good	ADJ
ap-1285	10	2	examples	example	NOUN
ap-1285	10	3	of	of	ADP
ap-1285	10	4	such	such	ADJ
ap-1285	10	5	complicated	complicated	ADJ
ap-1285	10	6	surfaces	surface	NOUN
ap-1285	10	7	are	be	AUX
ap-1285	10	8	the	the	DET
ap-1285	10	9	fracture	fracture	ADJ
ap-1285	10	10	surfaces	surface	NOUN
ap-1285	10	11	of	of	ADP
ap-1285	10	12	cementitious	cementitious	ADJ
ap-1285	10	13	materials	material	NOUN
ap-1285	10	14	.	.	PUNCT
ap-1285	11	1	nevertheless	nevertheless	ADV
ap-1285	11	2	,	,	PUNCT
ap-1285	11	3	they	they	PRON
ap-1285	11	4	are	be	AUX
ap-1285	11	5	extensively	extensively	ADV
ap-1285	11	6	studied	study	VERB
ap-1285	11	7	[	[	PUNCT
ap-1285	11	8	6	6	NUM
ap-1285	11	9	,	,	PUNCT
ap-1285	11	10	7	7	NUM
ap-1285	11	11	]	]	PUNCT
ap-1285	11	12	.	.	PUNCT
ap-1285	12	1	recently	recently	ADV
ap-1285	12	2	a	a	DET
ap-1285	12	3	fractal	fractal	ADJ
ap-1285	12	4	model	model	NOUN
ap-1285	12	5	of	of	ADP
ap-1285	12	6	the	the	DET
ap-1285	12	7	fracture	fracture	NOUN
ap-1285	12	8	surfaces	surface	NOUN
ap-1285	12	9	of	of	ADP
ap-1285	12	10	porous	porous	ADJ
ap-1285	12	11	materials	material	NOUN
ap-1285	12	12	has	have	AUX
ap-1285	12	13	been	be	AUX
ap-1285	12	14	published	publish	VERB
ap-1285	12	15	[	[	PUNCT
ap-1285	12	16	8	8	NUM
ap-1285	12	17	,	,	PUNCT
ap-1285	12	18	9	9	NUM
ap-1285	12	19	,	,	PUNCT
ap-1285	12	20	10	10	NUM
ap-1285	12	21	]	]	PUNCT
ap-1285	12	22	.	.	PUNCT
ap-1285	13	1	its	its	PRON
ap-1285	13	2	functionality	functionality	NOUN
ap-1285	13	3	has	have	AUX
ap-1285	13	4	been	be	AUX
ap-1285	13	5	tested	test	VERB
ap-1285	13	6	and	and	CCONJ
ap-1285	13	7	proved	prove	VERB
ap-1285	13	8	with	with	ADP
ap-1285	13	9	porous	porous	ADJ
ap-1285	13	10	cementitious	cementitious	ADJ
ap-1285	13	11	materials	material	NOUN
ap-1285	13	12	.	.	PUNCT
ap-1285	14	1	one	one	NUM
ap-1285	14	2	of	of	ADP
ap-1285	14	3	the	the	DET
ap-1285	14	4	most	most	ADV
ap-1285	14	5	important	important	ADJ
ap-1285	14	6	results	result	NOUN
ap-1285	14	7	of	of	ADP
ap-1285	14	8	the	the	DET
ap-1285	14	9	model	model	NOUN
ap-1285	14	10	consists	consist	VERB
ap-1285	14	11	in	in	ADP
ap-1285	14	12	the	the	DET
ap-1285	14	13	relation	relation	NOUN
ap-1285	14	14	σ	σ	PROPN
ap-1285	14	15	=	=	SYM
ap-1285	14	16	f(d	f(d	PROPN
ap-1285	14	17	)	)	PUNCT
ap-1285	14	18	which	which	PRON
ap-1285	14	19	is	be	AUX
ap-1285	14	20	the	the	DET
ap-1285	14	21	dependence	dependence	NOUN
ap-1285	14	22	of	of	ADP
ap-1285	14	23	the	the	DET
ap-1285	14	24	compressive	compressive	ADJ
ap-1285	14	25	strength	strength	NOUN
ap-1285	14	26	σ	σ	NOUN
ap-1285	14	27	of	of	ADP
ap-1285	14	28	materials	material	NOUN
ap-1285	14	29	on	on	ADP
ap-1285	14	30	the	the	DET
ap-1285	14	31	fractal	fractal	ADJ
ap-1285	14	32	dimension	dimension	NOUN
ap-1285	14	33	d	d	PROPN
ap-1285	14	34	of	of	ADP
ap-1285	14	35	fracture	fracture	NOUN
ap-1285	14	36	surfaces	surface	NOUN
ap-1285	14	37	.	.	PUNCT
ap-1285	15	1	this	this	DET
ap-1285	15	2	finding	finding	NOUN
ap-1285	15	3	may	may	AUX
ap-1285	15	4	be	be	AUX
ap-1285	15	5	of	of	ADP
ap-1285	15	6	practical	practical	ADJ
ap-1285	15	7	importance	importance	NOUN
ap-1285	15	8	,	,	PUNCT
ap-1285	15	9	since	since	SCONJ
ap-1285	15	10	it	it	PRON
ap-1285	15	11	indicates	indicate	VERB
ap-1285	15	12	the	the	DET
ap-1285	15	13	possibility	possibility	NOUN
ap-1285	15	14	of	of	ADP
ap-1285	15	15	estimating	estimate	VERB
ap-1285	15	16	compressive	compressive	ADJ
ap-1285	15	17	strength	strength	NOUN
ap-1285	15	18	on	on	ADP
ap-1285	15	19	the	the	DET
ap-1285	15	20	basis	basis	NOUN
ap-1285	15	21	of	of	ADP
ap-1285	15	22	the	the	DET
ap-1285	15	23	fractal	fractal	ADJ
ap-1285	15	24	geometry	geometry	NOUN
ap-1285	15	25	of	of	ADP
ap-1285	15	26	fracture	fracture	NOUN
ap-1285	15	27	surfaces	surface	NOUN
ap-1285	15	28	.	.	PUNCT
ap-1285	16	1	the	the	DET
ap-1285	16	2	aim	aim	NOUN
ap-1285	16	3	of	of	ADP
ap-1285	16	4	this	this	DET
ap-1285	16	5	paper	paper	NOUN
ap-1285	16	6	is	be	AUX
ap-1285	16	7	to	to	PART
ap-1285	16	8	provide	provide	VERB
ap-1285	16	9	necessary	necessary	ADJ
ap-1285	16	10	explanations	explanation	NOUN
ap-1285	16	11	and	and	CCONJ
ap-1285	16	12	comments	comment	NOUN
ap-1285	16	13	on	on	ADP
ap-1285	16	14	particular	particular	ADJ
ap-1285	16	15	steps	step	NOUN
ap-1285	16	16	performed	perform	VERB
ap-1285	16	17	within	within	ADP
ap-1285	16	18	the	the	DET
ap-1285	16	19	derivation	derivation	NOUN
ap-1285	16	20	of	of	ADP
ap-1285	16	21	the	the	DET
ap-1285	16	22	model	model	NOUN
ap-1285	17	1	[	[	X
ap-1285	17	2	8–10	8–10	NOUN
ap-1285	17	3	]	]	PUNCT
ap-1285	17	4	in	in	ADP
ap-1285	17	5	order	order	NOUN
ap-1285	17	6	to	to	PART
ap-1285	17	7	make	make	VERB
ap-1285	17	8	transparent	transparent	ADJ
ap-1285	17	9	all	all	DET
ap-1285	17	10	its	its	PRON
ap-1285	17	11	parts	part	NOUN
ap-1285	17	12	.	.	PUNCT
ap-1285	18	1	after	after	ADP
ap-1285	18	2	a	a	DET
ap-1285	18	3	short	short	ADJ
ap-1285	18	4	overview	overview	NOUN
ap-1285	18	5	of	of	ADP
ap-1285	18	6	the	the	DET
ap-1285	18	7	basic	basic	ADJ
ap-1285	18	8	relations	relation	NOUN
ap-1285	18	9	of	of	ADP
ap-1285	18	10	the	the	DET
ap-1285	18	11	model	model	NOUN
ap-1285	18	12	(	(	PUNCT
ap-1285	18	13	section	section	NOUN
ap-1285	18	14	2	2	NUM
ap-1285	18	15	)	)	PUNCT
ap-1285	18	16	,	,	PUNCT
ap-1285	18	17	a	a	DET
ap-1285	18	18	series	series	NOUN
ap-1285	18	19	of	of	ADP
ap-1285	18	20	explanatory	explanatory	ADJ
ap-1285	18	21	sections	section	NOUN
ap-1285	18	22	3.1–3.3	3.1–3.3	NUM
ap-1285	18	23	follows	follow	VERB
ap-1285	18	24	.	.	PUNCT
ap-1285	19	1	2	2	NUM
ap-1285	19	2	outline	outline	NOUN
ap-1285	19	3	of	of	ADP
ap-1285	19	4	the	the	DET
ap-1285	19	5	model	model	NOUN
ap-1285	19	6	a	a	DET
ap-1285	19	7	short	short	ADJ
ap-1285	19	8	sketch	sketch	NOUN
ap-1285	19	9	of	of	ADP
ap-1285	19	10	the	the	DET
ap-1285	19	11	fractal	fractal	ADJ
ap-1285	19	12	model	model	NOUN
ap-1285	19	13	[	[	X
ap-1285	19	14	8	8	NUM
ap-1285	19	15	,	,	PUNCT
ap-1285	19	16	9	9	NUM
ap-1285	19	17	,	,	PUNCT
ap-1285	19	18	10	10	NUM
ap-1285	19	19	]	]	PUNCT
ap-1285	19	20	of	of	ADP
ap-1285	19	21	fracture	fracture	NOUN
ap-1285	19	22	surfaces	surface	NOUN
ap-1285	19	23	of	of	ADP
ap-1285	19	24	porous	porous	ADJ
ap-1285	19	25	materials	material	NOUN
ap-1285	19	26	is	be	AUX
ap-1285	19	27	presented	present	VERB
ap-1285	19	28	here	here	ADV
ap-1285	19	29	.	.	PUNCT
ap-1285	20	1	the	the	DET
ap-1285	20	2	content	content	NOUN
ap-1285	20	3	of	of	ADP
ap-1285	20	4	this	this	DET
ap-1285	20	5	section	section	NOUN
ap-1285	20	6	has	have	VERB
ap-1285	20	7	its	its	PRON
ap-1285	20	8	source	source	NOUN
ap-1285	20	9	in	in	ADP
ap-1285	20	10	ref	ref	NOUN
ap-1285	20	11	.	.	PUNCT
ap-1285	21	1	[	[	X
ap-1285	21	2	10	10	NUM
ap-1285	21	3	]	]	PUNCT
ap-1285	21	4	,	,	PUNCT
ap-1285	21	5	which	which	PRON
ap-1285	21	6	is	be	AUX
ap-1285	21	7	the	the	DET
ap-1285	21	8	most	most	ADV
ap-1285	21	9	recent	recent	ADJ
ap-1285	21	10	presentation	presentation	NOUN
ap-1285	21	11	of	of	ADP
ap-1285	21	12	the	the	DET
ap-1285	21	13	model	model	NOUN
ap-1285	21	14	.	.	PUNCT
ap-1285	22	1	2.1	2.1	NUM
ap-1285	22	2	fractal	fractal	ADJ
ap-1285	22	3	porosity	porosity	NOUN
ap-1285	22	4	the	the	DET
ap-1285	22	5	large	large	ADJ
ap-1285	22	6	class	class	NOUN
ap-1285	22	7	of	of	ADP
ap-1285	22	8	porous	porous	ADJ
ap-1285	22	9	materials	material	NOUN
ap-1285	22	10	possesses	possesse	NOUN
ap-1285	22	11	at	at	ADV
ap-1285	22	12	least	least	ADV
ap-1285	22	13	one	one	NUM
ap-1285	22	14	common	common	ADJ
ap-1285	22	15	feature	feature	NOUN
ap-1285	22	16	,	,	PUNCT
ap-1285	22	17	namely	namely	ADV
ap-1285	22	18	,	,	PUNCT
ap-1285	22	19	they	they	PRON
ap-1285	22	20	are	be	AUX
ap-1285	22	21	composed	compose	VERB
ap-1285	22	22	of	of	ADP
ap-1285	22	23	grains	grain	NOUN
ap-1285	22	24	(	(	PUNCT
ap-1285	22	25	particles	particle	NOUN
ap-1285	22	26	,	,	PUNCT
ap-1285	22	27	globules	globule	NOUN
ap-1285	22	28	,	,	PUNCT
ap-1285	22	29	etc	etc	X
ap-1285	22	30	.	.	X
ap-1285	22	31	)	)	PUNCT
ap-1285	22	32	of	of	ADP
ap-1285	22	33	microscopic	microscopic	ADJ
ap-1285	22	34	size	size	NOUN
ap-1285	22	35	l.	l.	PROPN
ap-1285	22	36	the	the	DET
ap-1285	22	37	grains	grain	NOUN
ap-1285	22	38	are	be	AUX
ap-1285	22	39	usually	usually	ADV
ap-1285	22	40	arranged	arrange	VERB
ap-1285	22	41	fractally	fractally	ADV
ap-1285	22	42	with	with	ADP
ap-1285	22	43	number	number	NOUN
ap-1285	22	44	distribution	distribution	NOUN
ap-1285	22	45	n(l	n(l	PROPN
ap-1285	22	46	)	)	PUNCT
ap-1285	22	47	and	and	CCONJ
ap-1285	22	48	fractal	fractal	ADJ
ap-1285	22	49	dimension	dimension	NOUN
ap-1285	22	50	d	d	X
ap-1285	22	51	n(l	n(l	PROPN
ap-1285	22	52	)	)	PUNCT
ap-1285	22	53	=	=	PRON
ap-1285	23	1	(	(	PUNCT
ap-1285	23	2	l	l	NOUN
ap-1285	23	3	l	l	NOUN
ap-1285	23	4	)	)	PUNCT
ap-1285	24	1	d	d	NOUN
ap-1285	24	2	,	,	PUNCT
ap-1285	24	3	l	l	X
ap-1285	24	4	<	<	X
ap-1285	24	5	l.	l.	X
ap-1285	24	6	(	(	PUNCT
ap-1285	24	7	1	1	NUM
ap-1285	24	8	)	)	PUNCT
ap-1285	24	9	assuming	assume	VERB
ap-1285	24	10	the	the	DET
ap-1285	24	11	volume	volume	NOUN
ap-1285	24	12	of	of	ADP
ap-1285	24	13	a	a	DET
ap-1285	24	14	globule	globule	NOUN
ap-1285	24	15	to	to	PART
ap-1285	24	16	be	be	AUX
ap-1285	24	17	v	v	NOUN
ap-1285	24	18	=	=	SYM
ap-1285	24	19	const	const	X
ap-1285	24	20	·	·	PUNCT
ap-1285	24	21	l3	l3	NOUN
ap-1285	24	22	and	and	CCONJ
ap-1285	24	23	the	the	DET
ap-1285	24	24	volume	volume	NOUN
ap-1285	24	25	of	of	ADP
ap-1285	24	26	a	a	DET
ap-1285	24	27	sample	sample	NOUN
ap-1285	24	28	v	v	ADP
ap-1285	24	29	=	=	SYM
ap-1285	24	30	const·l3	const·l3	PROPN
ap-1285	24	31	,	,	PUNCT
ap-1285	24	32	the	the	DET
ap-1285	24	33	porosity	porosity	NOUN
ap-1285	24	34	p	p	NOUN
ap-1285	24	35	of	of	ADP
ap-1285	24	36	the	the	DET
ap-1285	24	37	cluster	cluster	NOUN
ap-1285	24	38	may	may	AUX
ap-1285	24	39	be	be	AUX
ap-1285	24	40	derived	derive	VERB
ap-1285	24	41	as	as	SCONJ
ap-1285	24	42	follows	follow	VERB
ap-1285	24	43	p	p	PROPN
ap-1285	24	44	=	=	PROPN
ap-1285	24	45	v	v	ADP
ap-1285	24	46	−	−	PROPN
ap-1285	24	47	n	n	PROPN
ap-1285	24	48	·	·	PUNCT
ap-1285	24	49	v	v	PRON
ap-1285	24	50	v	v	NOUN
ap-1285	24	51	=	=	SYM
ap-1285	24	52	1−	1−	NUM
ap-1285	24	53	n	n	NUM
ap-1285	24	54	v	v	NOUN
ap-1285	24	55	v	v	NOUN
ap-1285	24	56	=	=	SYM
ap-1285	24	57	1−	1−	NUM
ap-1285	24	58	n	n	CCONJ
ap-1285	24	59	(	(	PUNCT
ap-1285	24	60	l	l	NOUN
ap-1285	24	61	l	l	NOUN
ap-1285	24	62	)	)	PUNCT
ap-1285	24	63	3	3	NUM
ap-1285	24	64	=	=	SYM
ap-1285	24	65	1−	1−	NUM
ap-1285	24	66	(	(	PUNCT
ap-1285	24	67	l	l	NOUN
ap-1285	24	68	l	l	NOUN
ap-1285	24	69	)	)	PUNCT
ap-1285	25	1	d	d	NOUN
ap-1285	25	2	(	(	PUNCT
ap-1285	25	3	l	l	NOUN
ap-1285	25	4	l	l	NOUN
ap-1285	25	5	)	)	PUNCT
ap-1285	25	6	3	3	NUM
ap-1285	25	7	=	=	SYM
ap-1285	25	8	1−	1−	NUM
ap-1285	25	9	(	(	PUNCT
ap-1285	25	10	l	l	NOUN
ap-1285	25	11	l	l	NOUN
ap-1285	25	12	)	)	PUNCT
ap-1285	25	13	3−d	3−d	NUM
ap-1285	25	14	.	.	PUNCT
ap-1285	26	1	(	(	PUNCT
ap-1285	26	2	2	2	X
ap-1285	26	3	)	)	PUNCT
ap-1285	26	4	in	in	ADP
ap-1285	26	5	general	general	ADJ
ap-1285	26	6	,	,	PUNCT
ap-1285	26	7	the	the	DET
ap-1285	26	8	porosity	porosity	NOUN
ap-1285	26	9	p	p	NOUN
ap-1285	26	10	of	of	ADP
ap-1285	26	11	a	a	DET
ap-1285	26	12	sample	sample	NOUN
ap-1285	26	13	with	with	ADP
ap-1285	26	14	a	a	DET
ap-1285	26	15	characteristic	characteristic	ADJ
ap-1285	26	16	size	size	NOUN
ap-1285	26	17	λ	λ	NOUN
ap-1285	26	18	,	,	PUNCT
ap-1285	26	19	stochastically	stochastically	ADV
ap-1285	26	20	scattered	scatter	VERB
ap-1285	26	21	fractal	fractal	ADJ
ap-1285	26	22	clusters	cluster	NOUN
ap-1285	26	23	of	of	ADP
ap-1285	26	24	sizes	size	NOUN
ap-1285	26	25	{	{	PUNCT
ap-1285	26	26	li}i=0,1,2,	li}i=0,1,2,	PROPN
ap-1285	26	27	...	...	PUNCT
ap-1285	26	28	,n	,n	PUNCT
ap-1285	26	29	�	�	PROPN
ap-1285	26	30	λ	λ	PROPN
ap-1285	26	31	and	and	CCONJ
ap-1285	26	32	dimensions	dimension	NOUN
ap-1285	26	33	{	{	PUNCT
ap-1285	26	34	di}i=0,1,2,	di}i=0,1,2,	NOUN
ap-1285	26	35	...	...	PUNCT
ap-1285	26	36	,n	,n	PUNCT
ap-1285	26	37	reads	read	VERB
ap-1285	26	38	p	p	X
ap-1285	26	39	=	=	SYM
ap-1285	27	1	1−	1−	NUM
ap-1285	27	2	n∑	n∑	NOUN
ap-1285	27	3	i=0	i=0	PROPN
ap-1285	27	4	ξi	ξi	PROPN
ap-1285	27	5	(	(	PUNCT
ap-1285	27	6	li	li	PROPN
ap-1285	27	7	li	li	PROPN
ap-1285	27	8	)	)	PUNCT
ap-1285	27	9	3−di	3−di	PROPN
ap-1285	27	10	,	,	PUNCT
ap-1285	27	11	ξi	ξi	NOUN
ap-1285	27	12	=	=	SYM
ap-1285	27	13	mil	mil	NOUN
ap-1285	27	14	3	3	NUM
ap-1285	27	15	/	/	SYM
ap-1285	27	16	λ3	λ3	PROPN
ap-1285	27	17	(	(	PUNCT
ap-1285	27	18	3	3	NUM
ap-1285	27	19	)	)	PUNCT
ap-1285	27	20	where	where	SCONJ
ap-1285	27	21	mi	mi	PROPN
ap-1285	27	22	is	be	AUX
ap-1285	27	23	the	the	DET
ap-1285	27	24	number	number	NOUN
ap-1285	27	25	of	of	ADP
ap-1285	27	26	fractal	fractal	ADJ
ap-1285	27	27	clusters	cluster	NOUN
ap-1285	27	28	with	with	ADP
ap-1285	27	29	dimension	dimension	NOUN
ap-1285	27	30	di	di	NOUN
ap-1285	27	31	.	.	PROPN
ap-1285	27	32	2.2	2.2	NUM
ap-1285	27	33	fractal	fractal	ADJ
ap-1285	27	34	compressive	compressive	ADJ
ap-1285	27	35	strength	strength	NOUN
ap-1285	27	36	the	the	DET
ap-1285	27	37	relations	relation	NOUN
ap-1285	27	38	for	for	ADP
ap-1285	27	39	estimating	estimate	VERB
ap-1285	27	40	the	the	DET
ap-1285	27	41	compressive	compressive	ADJ
ap-1285	27	42	strength	strength	NOUN
ap-1285	27	43	of	of	ADP
ap-1285	27	44	porous	porous	ADJ
ap-1285	27	45	materials	material	NOUN
ap-1285	27	46	published	publish	VERB
ap-1285	27	47	earlier	early	ADV
ap-1285	27	48	[	[	X
ap-1285	27	49	11	11	NUM
ap-1285	27	50	,	,	PUNCT
ap-1285	27	51	12	12	NUM
ap-1285	27	52	]	]	PUNCT
ap-1285	27	53	rely	rely	VERB
ap-1285	27	54	on	on	ADP
ap-1285	27	55	porosity	porosity	NOUN
ap-1285	27	56	p	p	NOUN
ap-1285	27	57	as	as	ADP
ap-1285	27	58	a	a	DET
ap-1285	27	59	main	main	ADJ
ap-1285	27	60	decisive	decisive	ADJ
ap-1285	27	61	factor	factor	NOUN
ap-1285	27	62	.	.	PUNCT
ap-1285	28	1	in	in	ADP
ap-1285	28	2	the	the	DET
ap-1285	28	3	fractal	fractal	ADJ
ap-1285	28	4	model	model	NOUN
ap-1285	28	5	under	under	ADP
ap-1285	28	6	discussion	discussion	NOUN
ap-1285	28	7	the	the	DET
ap-1285	28	8	balshin	balshin	NOUN
ap-1285	28	9	[	[	X
ap-1285	28	10	11	11	NUM
ap-1285	28	11	]	]	SYM
ap-1285	28	12	relation	relation	NOUN
ap-1285	28	13	σ	σ	NOUN
ap-1285	28	14	=	=	NOUN
ap-1285	28	15	σ∗	σ∗	NOUN
ap-1285	28	16	o(1	o(1	VERB
ap-1285	28	17	−	−	PROPN
ap-1285	28	18	p	p	NOUN
ap-1285	28	19	)	)	PUNCT
ap-1285	28	20	k	k	PROPN
ap-1285	28	21	was	be	AUX
ap-1285	28	22	used	use	VERB
ap-1285	28	23	as	as	ADP
ap-1285	28	24	a	a	DET
ap-1285	28	25	starting	starting	NOUN
ap-1285	28	26	point	point	NOUN
ap-1285	28	27	.	.	PUNCT
ap-1285	29	1	the	the	DET
ap-1285	29	2	relation	relation	NOUN
ap-1285	29	3	was	be	AUX
ap-1285	29	4	developed	develop	VERB
ap-1285	29	5	[	[	X
ap-1285	29	6	10	10	NUM
ap-1285	29	7	]	]	PUNCT
ap-1285	29	8	into	into	ADP
ap-1285	29	9	a	a	DET
ap-1285	29	10	more	more	ADV
ap-1285	29	11	general	general	ADJ
ap-1285	29	12	form	form	NOUN
ap-1285	29	13	σ	σ	NOUN
ap-1285	29	14	=	=	X
ap-1285	29	15	σ∗	σ∗	PROPN
ap-1285	29	16	o	o	NOUN
ap-1285	29	17	(	(	PUNCT
ap-1285	29	18	1−	1−	NUM
ap-1285	29	19	p	p	NOUN
ap-1285	29	20	pcr	pcr	NOUN
ap-1285	29	21	)	)	PUNCT
ap-1285	30	1	k	k	PROPN
ap-1285	31	1	+	+	CCONJ
ap-1285	31	2	so	so	ADV
ap-1285	31	3	=	=	PUNCT
ap-1285	31	4	σo(1−	σo(1−	PROPN
ap-1285	31	5	p	p	NOUN
ap-1285	31	6	−	−	PROPN
ap-1285	31	7	b)k	b)k	NOUN
ap-1285	32	1	+	+	CCONJ
ap-1285	32	2	so	so	ADV
ap-1285	32	3	,	,	PUNCT
ap-1285	32	4	(	(	PUNCT
ap-1285	32	5	4	4	X
ap-1285	32	6	)	)	PUNCT
ap-1285	32	7	26	26	NUM
ap-1285	32	8	acta	acta	PROPN
ap-1285	32	9	polytechnica	polytechnica	PROPN
ap-1285	32	10	vol	vol	NOUN
ap-1285	32	11	.	.	PROPN
ap-1285	33	1	50	50	NUM
ap-1285	33	2	no	no	NOUN
ap-1285	33	3	.	.	PUNCT
ap-1285	34	1	6/2010	6/2010	NUM
ap-1285	34	2	0	0	NUM
ap-1285	34	3	≤	≤	NUM
ap-1285	34	4	b	b	X
ap-1285	34	5	=	=	SYM
ap-1285	34	6	1−	1−	NUM
ap-1285	34	7	pcr	pcr	NOUN
ap-1285	34	8	≤	≤	ADV
ap-1285	34	9	1	1	NUM
ap-1285	34	10	,	,	PUNCT
ap-1285	34	11	0	0	NUM
ap-1285	34	12	≤	≤	NUM
ap-1285	34	13	σ∗	σ∗	NOUN
ap-1285	34	14	o	o	NOUN
ap-1285	34	15	≤	≤	X
ap-1285	35	1	σo	σo	PROPN
ap-1285	35	2	=	=	X
ap-1285	35	3	σ∗	σ∗	PRON
ap-1285	36	1	o	o	X
ap-1285	36	2	p	p	X
ap-1285	36	3	k	k	X
ap-1285	36	4	cr	cr	PROPN
ap-1285	36	5	(	(	PUNCT
ap-1285	36	6	5	5	NUM
ap-1285	36	7	)	)	PUNCT
ap-1285	36	8	where	where	SCONJ
ap-1285	36	9	so	so	ADV
ap-1285	36	10	is	be	AUX
ap-1285	36	11	the	the	DET
ap-1285	36	12	remaining	remain	VERB
ap-1285	36	13	strength	strength	NOUN
ap-1285	36	14	which	which	PRON
ap-1285	36	15	may	may	AUX
ap-1285	36	16	be	be	AUX
ap-1285	36	17	caused	cause	VERB
ap-1285	36	18	,	,	PUNCT
ap-1285	36	19	among	among	ADP
ap-1285	36	20	others	other	NOUN
ap-1285	36	21	,	,	PUNCT
ap-1285	36	22	by	by	ADP
ap-1285	36	23	the	the	DET
ap-1285	36	24	virtual	virtual	ADJ
ap-1285	36	25	incompressibility	incompressibility	NOUN
ap-1285	36	26	of	of	ADP
ap-1285	36	27	pore	pore	ADJ
ap-1285	36	28	liquids	liquid	NOUN
ap-1285	36	29	.	.	PUNCT
ap-1285	37	1	combining	combine	VERB
ap-1285	37	2	(	(	PUNCT
ap-1285	37	3	3	3	NUM
ap-1285	37	4	)	)	PUNCT
ap-1285	37	5	and	and	CCONJ
ap-1285	37	6	(	(	PUNCT
ap-1285	37	7	4	4	NUM
ap-1285	37	8	)	)	PUNCT
ap-1285	37	9	,	,	PUNCT
ap-1285	37	10	the	the	DET
ap-1285	37	11	compressive	compressive	ADJ
ap-1285	37	12	strength	strength	NOUN
ap-1285	37	13	of	of	ADP
ap-1285	37	14	porous	porous	ADJ
ap-1285	37	15	matter	matter	NOUN
ap-1285	37	16	appears	appear	VERB
ap-1285	37	17	as	as	ADP
ap-1285	37	18	a	a	DET
ap-1285	37	19	function	function	NOUN
ap-1285	37	20	of	of	ADP
ap-1285	37	21	the	the	DET
ap-1285	37	22	fractal	fractal	ADJ
ap-1285	37	23	structure	structure	NOUN
ap-1285	37	24	σ	σ	PROPN
ap-1285	37	25	=	=	SYM
ap-1285	37	26	σo	σo	PROPN
ap-1285	37	27	[	[	PUNCT
ap-1285	37	28	n∑	n∑	NOUN
ap-1285	37	29	i=0	i=0	PROPN
ap-1285	37	30	ξi	ξi	PROPN
ap-1285	38	1	(	(	PUNCT
ap-1285	38	2	li	li	PROPN
ap-1285	38	3	li	li	PROPN
ap-1285	38	4	)	)	PUNCT
ap-1285	38	5	3−di	3−di	PROPN
ap-1285	38	6	−	−	PROPN
ap-1285	38	7	b	b	NOUN
ap-1285	38	8	]	]	X
ap-1285	38	9	k	k	X
ap-1285	39	1	+	+	CCONJ
ap-1285	39	2	so	so	ADV
ap-1285	39	3	.	.	PUNCT
ap-1285	40	1	(	(	PUNCT
ap-1285	40	2	6	6	NUM
ap-1285	40	3	)	)	SYM
ap-1285	40	4	2.3	2.3	NUM
ap-1285	40	5	dimension	dimension	NOUN
ap-1285	40	6	of	of	ADP
ap-1285	40	7	fracture	fracture	NOUN
ap-1285	40	8	surface	surface	NOUN
ap-1285	40	9	when	when	SCONJ
ap-1285	40	10	performing	perform	VERB
ap-1285	40	11	the	the	DET
ap-1285	40	12	fracture	fracture	NOUN
ap-1285	40	13	of	of	ADP
ap-1285	40	14	a	a	DET
ap-1285	40	15	porous	porous	ADJ
ap-1285	40	16	material	material	NOUN
ap-1285	40	17	whose	whose	DET
ap-1285	40	18	inner	inner	ADJ
ap-1285	40	19	(	(	PUNCT
ap-1285	40	20	volume	volume	NOUN
ap-1285	40	21	)	)	PUNCT
ap-1285	40	22	structure	structure	NOUN
ap-1285	40	23	has	have	VERB
ap-1285	40	24	fractal	fractal	ADJ
ap-1285	40	25	dimension	dimension	NOUN
ap-1285	40	26	di	di	NOUN
ap-1285	40	27	,	,	PUNCT
ap-1285	40	28	this	this	DET
ap-1285	40	29	structure	structure	NOUN
ap-1285	40	30	is	be	AUX
ap-1285	40	31	projected	project	VERB
ap-1285	40	32	onto	onto	ADP
ap-1285	40	33	the	the	DET
ap-1285	40	34	fracture	fracture	NOUN
ap-1285	40	35	surface	surface	NOUN
ap-1285	40	36	with	with	ADP
ap-1285	40	37	a	a	DET
ap-1285	40	38	lower	low	ADJ
ap-1285	40	39	dimension	dimension	NOUN
ap-1285	40	40	d∗	d∗	NOUN
ap-1285	41	1	i	i	PRON
ap-1285	41	2	<	<	X
ap-1285	41	3	di	di	INTJ
ap-1285	41	4	.	.	PROPN
ap-1285	41	5	provided	provide	VERB
ap-1285	41	6	a	a	DET
ap-1285	41	7	fracture	fracture	NOUN
ap-1285	41	8	surface	surface	NOUN
ap-1285	41	9	has	have	VERB
ap-1285	41	10	its	its	PRON
ap-1285	41	11	own	own	ADJ
ap-1285	41	12	dimension	dimension	NOUN
ap-1285	41	13	s	s	NOUN
ap-1285	41	14	and	and	CCONJ
ap-1285	41	15	its	its	PRON
ap-1285	41	16	morphology	morphology	NOUN
ap-1285	41	17	is	be	AUX
ap-1285	41	18	‘	'	PUNCT
ap-1285	41	19	typical	typical	ADJ
ap-1285	41	20	’	'	PUNCT
ap-1285	41	21	rather	rather	ADV
ap-1285	41	22	than	than	ADP
ap-1285	41	23	‘	'	PUNCT
ap-1285	41	24	special	special	ADJ
ap-1285	41	25	’	'	PUNCT
ap-1285	41	26	,	,	PUNCT
ap-1285	41	27	the	the	DET
ap-1285	41	28	relation	relation	NOUN
ap-1285	41	29	between	between	ADP
ap-1285	41	30	d∗	d∗	PROPN
ap-1285	41	31	i	i	PRON
ap-1285	41	32	and	and	CCONJ
ap-1285	41	33	di	di	NOUN
ap-1285	41	34	can	can	AUX
ap-1285	41	35	be	be	AUX
ap-1285	41	36	expressed	express	VERB
ap-1285	41	37	[	[	X
ap-1285	41	38	13	13	NUM
ap-1285	41	39	]	]	PUNCT
ap-1285	41	40	as	as	SCONJ
ap-1285	41	41	follows	follow	VERB
ap-1285	41	42	di	di	X
ap-1285	41	43	=	=	SYM
ap-1285	41	44	max	max	PROPN
ap-1285	41	45	{	{	PUNCT
ap-1285	41	46	0	0	PROPN
ap-1285	41	47	,	,	PUNCT
ap-1285	41	48	d∗	d∗	VERB
ap-1285	41	49	i	i	PRON
ap-1285	41	50	+	+	CCONJ
ap-1285	41	51	(	(	PUNCT
ap-1285	41	52	3−	3−	NUM
ap-1285	41	53	s	s	NOUN
ap-1285	41	54	)	)	PUNCT
ap-1285	41	55	}	}	PUNCT
ap-1285	41	56	,	,	PUNCT
ap-1285	41	57	d∗	d∗	VERB
ap-1285	41	58	i	i	PRON
ap-1285	41	59	≤	≤	PROPN
ap-1285	42	1	s	s	PART
ap-1285	42	2	<	<	X
ap-1285	42	3	3	3	NUM
ap-1285	42	4	(	(	PUNCT
ap-1285	42	5	7	7	NUM
ap-1285	42	6	)	)	PUNCT
ap-1285	42	7	where	where	SCONJ
ap-1285	42	8	3	3	NUM
ap-1285	42	9	−	−	NOUN
ap-1285	42	10	s	s	VERB
ap-1285	42	11	is	be	AUX
ap-1285	42	12	the	the	DET
ap-1285	42	13	co	co	NOUN
ap-1285	42	14	-	-	NOUN
ap-1285	42	15	dimension	dimension	NOUN
ap-1285	42	16	of	of	ADP
ap-1285	42	17	the	the	DET
ap-1285	42	18	fracture	fracture	NOUN
ap-1285	42	19	surface	surface	NOUN
ap-1285	42	20	.	.	PUNCT
ap-1285	43	1	using	use	VERB
ap-1285	43	2	(	(	PUNCT
ap-1285	43	3	7	7	NUM
ap-1285	43	4	)	)	PUNCT
ap-1285	43	5	,	,	PUNCT
ap-1285	43	6	the	the	DET
ap-1285	43	7	exponent	exponent	NOUN
ap-1285	43	8	3	3	NUM
ap-1285	43	9	−	−	NOUN
ap-1285	43	10	di	di	NOUN
ap-1285	43	11	in	in	ADP
ap-1285	43	12	eq	eq	ADP
ap-1285	43	13	.	.	PUNCT
ap-1285	44	1	(	(	PUNCT
ap-1285	44	2	6	6	NUM
ap-1285	44	3	)	)	PUNCT
ap-1285	44	4	can	can	AUX
ap-1285	44	5	be	be	AUX
ap-1285	44	6	replaced	replace	VERB
ap-1285	44	7	by	by	ADP
ap-1285	44	8	s	s	PROPN
ap-1285	44	9	−	−	PROPN
ap-1285	44	10	d∗	d∗	PROPN
ap-1285	44	11	i	i	PRON
ap-1285	44	12	and	and	CCONJ
ap-1285	44	13	the	the	DET
ap-1285	44	14	generalized	generalize	VERB
ap-1285	44	15	strength	strength	NOUN
ap-1285	44	16	function	function	NOUN
ap-1285	44	17	now	now	ADV
ap-1285	44	18	reads	read	VERB
ap-1285	44	19	σ	σ	PROPN
ap-1285	44	20	=	=	SYM
ap-1285	44	21	σo	σo	PROPN
ap-1285	44	22	[	[	PUNCT
ap-1285	44	23	n∑	n∑	NOUN
ap-1285	44	24	i=0	i=0	PROPN
ap-1285	44	25	ξi	ξi	PROPN
ap-1285	44	26	(	(	PUNCT
ap-1285	44	27	li	li	PROPN
ap-1285	44	28	li	li	PROPN
ap-1285	44	29	)	)	PUNCT
ap-1285	44	30	s−d∗	s−d∗	PROPN
ap-1285	44	31	i	i	PRON
ap-1285	45	1	−	−	PROPN
ap-1285	46	1	b	b	X
ap-1285	46	2	]	]	X
ap-1285	46	3	k	k	X
ap-1285	47	1	+	+	CCONJ
ap-1285	47	2	so	so	ADV
ap-1285	47	3	.	.	PUNCT
ap-1285	48	1	(	(	PUNCT
ap-1285	48	2	8)	8)	NUM
ap-1285	48	3	this	this	DET
ap-1285	48	4	function	function	NOUN
ap-1285	48	5	may	may	AUX
ap-1285	48	6	contain	contain	VERB
ap-1285	48	7	many	many	ADJ
ap-1285	48	8	parameters	parameter	NOUN
ap-1285	48	9	,	,	PUNCT
ap-1285	48	10	so	so	SCONJ
ap-1285	48	11	that	that	SCONJ
ap-1285	48	12	it	it	PRON
ap-1285	48	13	is	be	AUX
ap-1285	48	14	difficult	difficult	ADJ
ap-1285	48	15	to	to	PART
ap-1285	48	16	fit	fit	VERB
ap-1285	48	17	it	it	PRON
ap-1285	48	18	to	to	ADP
ap-1285	48	19	the	the	DET
ap-1285	48	20	experimental	experimental	ADJ
ap-1285	48	21	data	datum	NOUN
ap-1285	48	22	,	,	PUNCT
ap-1285	48	23	because	because	SCONJ
ap-1285	48	24	there	there	PRON
ap-1285	48	25	may	may	AUX
ap-1285	48	26	be	be	AUX
ap-1285	48	27	more	more	ADJ
ap-1285	48	28	than	than	ADP
ap-1285	48	29	one	one	NUM
ap-1285	48	30	‘	'	PUNCT
ap-1285	48	31	reliable	reliable	ADJ
ap-1285	48	32	’	'	PUNCT
ap-1285	48	33	set	set	NOUN
ap-1285	48	34	of	of	ADP
ap-1285	48	35	parameters	parameter	NOUN
ap-1285	48	36	σo	σo	PROPN
ap-1285	48	37	,	,	PUNCT
ap-1285	48	38	{	{	PUNCT
ap-1285	48	39	ξi}n	ξi}n	NOUN
ap-1285	48	40	i=1	i=1	PROPN
ap-1285	48	41	,	,	PUNCT
ap-1285	48	42	li	li	PROPN
ap-1285	48	43	,	,	PUNCT
ap-1285	48	44	li	li	PROPN
ap-1285	48	45	,	,	PUNCT
ap-1285	48	46	s	s	PROPN
ap-1285	48	47	,	,	PUNCT
ap-1285	48	48	d∗	d∗	PROPN
ap-1285	48	49	i	i	PRON
ap-1285	48	50	,	,	PUNCT
ap-1285	48	51	b	b	X
ap-1285	48	52	,	,	PUNCT
ap-1285	48	53	k	k	NOUN
ap-1285	48	54	,	,	PUNCT
ap-1285	48	55	so	so	ADV
ap-1285	48	56	.	.	PUNCT
ap-1285	49	1	fortunately	fortunately	ADV
ap-1285	49	2	,	,	PUNCT
ap-1285	49	3	the	the	DET
ap-1285	49	4	structure	structure	NOUN
ap-1285	49	5	of	of	ADP
ap-1285	49	6	porous	porous	ADJ
ap-1285	49	7	material	material	NOUN
ap-1285	49	8	often	often	ADV
ap-1285	49	9	contains	contain	VERB
ap-1285	49	10	only	only	ADV
ap-1285	49	11	one	one	NUM
ap-1285	49	12	type	type	NOUN
ap-1285	49	13	of	of	ADP
ap-1285	49	14	grain	grain	NOUN
ap-1285	49	15	,	,	PUNCT
ap-1285	49	16	i.e.	i.e.	X
ap-1285	49	17	one	one	NUM
ap-1285	49	18	type	type	NOUN
ap-1285	49	19	of	of	ADP
ap-1285	49	20	fractal	fractal	ADJ
ap-1285	49	21	arrangement	arrangement	NOUN
ap-1285	49	22	(	(	PUNCT
ap-1285	49	23	i	i	NOUN
ap-1285	49	24	=	=	NOUN
ap-1285	49	25	1	1	X
ap-1285	49	26	)	)	PUNCT
ap-1285	49	27	dominates	dominate	VERB
ap-1285	49	28	over	over	ADP
ap-1285	49	29	the	the	DET
ap-1285	49	30	solid	solid	ADJ
ap-1285	49	31	rest	rest	NOUN
ap-1285	49	32	(	(	PUNCT
ap-1285	49	33	i	i	NOUN
ap-1285	49	34	=	=	NOUN
ap-1285	49	35	0	0	NUM
ap-1285	49	36	)	)	PUNCT
ap-1285	49	37	which	which	PRON
ap-1285	49	38	is	be	AUX
ap-1285	49	39	usually	usually	ADV
ap-1285	49	40	of	of	ADP
ap-1285	49	41	non	non	ADJ
ap-1285	49	42	-	-	ADJ
ap-1285	49	43	fractal	fractal	ADJ
ap-1285	49	44	character	character	NOUN
ap-1285	49	45	(	(	PUNCT
ap-1285	49	46	do	do	AUX
ap-1285	49	47	=	=	SYM
ap-1285	49	48	3	3	NUM
ap-1285	49	49	)	)	PUNCT
ap-1285	49	50	σ=	σ=	NOUN
ap-1285	49	51	σo	σo	PROPN
ap-1285	49	52	[	[	PUNCT
ap-1285	49	53	ξ1	ξ1	PROPN
ap-1285	49	54	(	(	PUNCT
ap-1285	49	55	l1	l1	PROPN
ap-1285	49	56	l1	l1	PROPN
ap-1285	49	57	)	)	PUNCT
ap-1285	49	58	s−d∗	s−d∗	PROPN
ap-1285	49	59	1	1	NUM
ap-1285	49	60	+	+	CCONJ
ap-1285	49	61	(	(	PUNCT
ap-1285	49	62	ξo	ξo	ADV
ap-1285	49	63	−	−	PROPN
ap-1285	49	64	b	b	NOUN
ap-1285	49	65	)	)	PUNCT
ap-1285	49	66	]	]	PUNCT
ap-1285	50	1	k	k	X
ap-1285	51	1	+	+	CCONJ
ap-1285	51	2	so	so	ADV
ap-1285	51	3	=	=	SYM
ap-1285	51	4	σo	σo	PROPN
ap-1285	52	1	[	[	X
ap-1285	52	2	ξ1	ξ1	NOUN
ap-1285	52	3	exp((s	exp((	VERB
ap-1285	52	4	−	−	PROPN
ap-1285	52	5	d∗	d∗	PROPN
ap-1285	52	6	1)/a	1)/a	NUM
ap-1285	52	7	)	)	PUNCT
ap-1285	52	8	−	−	NOUN
ap-1285	53	1	γ]k	γ]k	NOUN
ap-1285	54	1	+	+	CCONJ
ap-1285	54	2	so	so	ADV
ap-1285	54	3	,	,	PUNCT
ap-1285	54	4	(	(	PUNCT
ap-1285	54	5	9	9	NUM
ap-1285	54	6	)	)	PUNCT
ap-1285	54	7	a	a	DET
ap-1285	54	8	=	=	SYM
ap-1285	54	9	1	1	NUM
ap-1285	54	10	ln(l1	ln(l1	PROPN
ap-1285	54	11	/	/	SYM
ap-1285	54	12	l1	l1	PROPN
ap-1285	54	13	)	)	PUNCT
ap-1285	54	14	,	,	PUNCT
ap-1285	54	15	γ	γ	X
ap-1285	54	16	=	=	X
ap-1285	54	17	(	(	PUNCT
ap-1285	54	18	b	b	X
ap-1285	54	19	−	−	PROPN
ap-1285	54	20	ξo	ξo	NUM
ap-1285	54	21	)	)	PUNCT
ap-1285	54	22	.	.	PUNCT
ap-1285	55	1	2.4	2.4	NUM
ap-1285	55	2	experimental	experimental	ADJ
ap-1285	55	3	tests	test	NOUN
ap-1285	55	4	relation	relation	NOUN
ap-1285	55	5	(	(	PUNCT
ap-1285	55	6	9	9	NUM
ap-1285	55	7	)	)	PUNCT
ap-1285	55	8	is	be	AUX
ap-1285	55	9	directly	directly	ADV
ap-1285	55	10	applicable	applicable	ADJ
ap-1285	55	11	to	to	ADP
ap-1285	55	12	samples	sample	NOUN
ap-1285	55	13	of	of	ADP
ap-1285	55	14	hydrated	hydrated	ADJ
ap-1285	55	15	portland	portland	PROPN
ap-1285	55	16	cement	cement	NOUN
ap-1285	55	17	paste	paste	NOUN
ap-1285	55	18	,	,	PUNCT
ap-1285	55	19	since	since	SCONJ
ap-1285	55	20	it	it	PRON
ap-1285	55	21	is	be	AUX
ap-1285	55	22	a	a	DET
ap-1285	55	23	composite	composite	NOUN
ap-1285	55	24	whose	whose	DET
ap-1285	55	25	main	main	ADJ
ap-1285	55	26	component	component	NOUN
ap-1285	55	27	(	(	PUNCT
ap-1285	55	28	calcium	calcium	NOUN
ap-1285	55	29	-	-	PUNCT
ap-1285	55	30	silicate	silicate	NOUN
ap-1285	55	31	-	-	PUNCT
ap-1285	55	32	hydrate	hydrate	NOUN
ap-1285	55	33	gel	gel	NOUN
ap-1285	55	34	)	)	PUNCT
ap-1285	55	35	is	be	AUX
ap-1285	55	36	known	know	VERB
ap-1285	55	37	for	for	ADP
ap-1285	55	38	its	its	PRON
ap-1285	55	39	inner	inner	ADJ
ap-1285	55	40	fractal	fractal	ADJ
ap-1285	55	41	structure	structure	NOUN
ap-1285	55	42	.	.	PUNCT
ap-1285	56	1	other	other	ADJ
ap-1285	56	2	components	component	NOUN
ap-1285	56	3	can	can	AUX
ap-1285	56	4	be	be	AUX
ap-1285	56	5	assigned	assign	VERB
ap-1285	56	6	to	to	ADP
ap-1285	56	7	a	a	DET
ap-1285	56	8	non	non	ADJ
ap-1285	56	9	-	-	ADJ
ap-1285	56	10	fractal	fractal	ADJ
ap-1285	56	11	remnant	remnant	NOUN
ap-1285	56	12	.	.	PUNCT
ap-1285	57	1	therefore	therefore	ADV
ap-1285	57	2	,	,	PUNCT
ap-1285	57	3	this	this	DET
ap-1285	57	4	material	material	NOUN
ap-1285	57	5	was	be	AUX
ap-1285	57	6	used	use	VERB
ap-1285	57	7	[	[	X
ap-1285	57	8	8	8	NUM
ap-1285	57	9	,	,	PUNCT
ap-1285	57	10	9	9	NUM
ap-1285	57	11	,	,	PUNCT
ap-1285	57	12	10	10	NUM
ap-1285	57	13	]	]	PUNCT
ap-1285	57	14	to	to	PART
ap-1285	57	15	test	test	VERB
ap-1285	57	16	the	the	DET
ap-1285	57	17	functionality	functionality	NOUN
ap-1285	57	18	of	of	ADP
ap-1285	57	19	eq	eq	PROPN
ap-1285	57	20	.	.	PUNCT
ap-1285	58	1	(	(	PUNCT
ap-1285	58	2	9	9	NUM
ap-1285	58	3	)	)	PUNCT
ap-1285	58	4	.	.	PUNCT
ap-1285	59	1	fig	fig	NOUN
ap-1285	59	2	.	.	PUNCT
ap-1285	60	1	1	1	NUM
ap-1285	60	2	:	:	PUNCT
ap-1285	60	3	dependence	dependence	NOUN
ap-1285	60	4	of	of	ADP
ap-1285	60	5	compressive	compressive	ADJ
ap-1285	60	6	strength	strength	NOUN
ap-1285	60	7	on	on	ADP
ap-1285	60	8	fractal	fractal	ADJ
ap-1285	60	9	dimension	dimension	NOUN
ap-1285	60	10	with	with	ADP
ap-1285	60	11	cement	cement	NOUN
ap-1285	60	12	paste	paste	NOUN
ap-1285	60	13	[	[	X
ap-1285	60	14	8	8	NUM
ap-1285	60	15	]	]	SYM
ap-1285	60	16	seventy	seventy	NUM
ap-1285	60	17	-	-	PUNCT
ap-1285	60	18	two	two	NUM
ap-1285	60	19	samples	sample	NOUN
ap-1285	60	20	of	of	ADP
ap-1285	60	21	hydrated	hydrated	ADJ
ap-1285	60	22	ordinary	ordinary	ADJ
ap-1285	60	23	portland	portland	PROPN
ap-1285	60	24	cement	cement	NOUN
ap-1285	60	25	paste	paste	NOUN
ap-1285	60	26	of	of	ADP
ap-1285	60	27	various	various	ADJ
ap-1285	60	28	water	water	NOUN
ap-1285	60	29	-	-	PUNCT
ap-1285	60	30	to	to	ADP
ap-1285	60	31	-	-	PUNCT
ap-1285	60	32	cement	cement	NOUN
ap-1285	60	33	ratio	ratio	NOUN
ap-1285	60	34	r	r	NOUN
ap-1285	60	35	(	(	PUNCT
ap-1285	60	36	0.4	0.4	NUM
ap-1285	60	37	,	,	PUNCT
ap-1285	60	38	0.6	0.6	NUM
ap-1285	60	39	,	,	PUNCT
ap-1285	60	40	0.8	0.8	NUM
ap-1285	60	41	,	,	PUNCT
ap-1285	60	42	1.0	1.0	NUM
ap-1285	60	43	,	,	PUNCT
ap-1285	60	44	1.2	1.2	NUM
ap-1285	60	45	,	,	PUNCT
ap-1285	60	46	1.4	1.4	NUM
ap-1285	60	47	)	)	PUNCT
ap-1285	60	48	were	be	AUX
ap-1285	60	49	prepared	prepare	VERB
ap-1285	60	50	.	.	PUNCT
ap-1285	61	1	after	after	ADP
ap-1285	61	2	28	28	NUM
ap-1285	61	3	days	day	NOUN
ap-1285	61	4	of	of	ADP
ap-1285	61	5	hydration	hydration	NOUN
ap-1285	61	6	the	the	DET
ap-1285	61	7	samples	sample	NOUN
ap-1285	61	8	were	be	AUX
ap-1285	61	9	subjected	subject	VERB
ap-1285	61	10	to	to	ADP
ap-1285	61	11	three	three	NUM
ap-1285	61	12	-	-	PUNCT
ap-1285	61	13	point	point	NOUN
ap-1285	61	14	bending	bending	NOUN
ap-1285	61	15	and	and	CCONJ
ap-1285	61	16	were	be	AUX
ap-1285	61	17	fractured	fracture	VERB
ap-1285	61	18	.	.	PUNCT
ap-1285	62	1	the	the	DET
ap-1285	62	2	fracture	fracture	NOUN
ap-1285	62	3	surfaces	surface	NOUN
ap-1285	62	4	were	be	AUX
ap-1285	62	5	used	use	VERB
ap-1285	62	6	for	for	ADP
ap-1285	62	7	further	further	ADJ
ap-1285	62	8	fractal	fractal	ADJ
ap-1285	62	9	analysis	analysis	NOUN
ap-1285	62	10	.	.	PUNCT
ap-1285	63	1	the	the	DET
ap-1285	63	2	3	3	NUM
ap-1285	63	3	-	-	PUNCT
ap-1285	63	4	d	d	ADJ
ap-1285	63	5	digital	digital	ADJ
ap-1285	63	6	reconstruction	reconstruction	NOUN
ap-1285	63	7	of	of	ADP
ap-1285	63	8	the	the	DET
ap-1285	63	9	fracture	fracture	NOUN
ap-1285	63	10	surfaces	surface	NOUN
ap-1285	63	11	was	be	AUX
ap-1285	63	12	performed	perform	VERB
ap-1285	63	13	using	use	VERB
ap-1285	63	14	a	a	DET
ap-1285	63	15	confocal	confocal	ADJ
ap-1285	63	16	microscope	microscope	NOUN
ap-1285	63	17	,	,	PUNCT
ap-1285	63	18	and	and	CCONJ
ap-1285	63	19	then	then	ADV
ap-1285	63	20	a	a	DET
ap-1285	63	21	series	series	NOUN
ap-1285	63	22	of	of	ADP
ap-1285	63	23	horizontal	horizontal	ADJ
ap-1285	63	24	sections	section	NOUN
ap-1285	63	25	(	(	PUNCT
ap-1285	63	26	contours	contours	PROPN
ap-1285	63	27	)	)	PUNCT
ap-1285	63	28	were	be	AUX
ap-1285	63	29	analyzed	analyze	VERB
ap-1285	63	30	with	with	ADP
ap-1285	63	31	resolution	resolution	NOUN
ap-1285	63	32	0.2	0.2	NUM
ap-1285	63	33	μm2	μm2	NOUN
ap-1285	63	34	/	/	SYM
ap-1285	63	35	pixel	pixel	NOUN
ap-1285	63	36	by	by	ADP
ap-1285	63	37	means	mean	NOUN
ap-1285	63	38	of	of	ADP
ap-1285	63	39	the	the	DET
ap-1285	63	40	standard	standard	PROPN
ap-1285	63	41	box	box	NOUN
ap-1285	63	42	-	-	PUNCT
ap-1285	63	43	counting	counting	NOUN
ap-1285	63	44	method	method	NOUN
ap-1285	63	45	[	[	X
ap-1285	63	46	8	8	NUM
ap-1285	63	47	,	,	PUNCT
ap-1285	63	48	9	9	NUM
ap-1285	63	49	,	,	PUNCT
ap-1285	63	50	10	10	NUM
ap-1285	63	51	]	]	PUNCT
ap-1285	63	52	to	to	PART
ap-1285	63	53	obtain	obtain	VERB
ap-1285	63	54	a	a	DET
ap-1285	63	55	representative	representative	ADJ
ap-1285	63	56	d∗	d∗	NOUN
ap-1285	63	57	for	for	ADP
ap-1285	63	58	the	the	DET
ap-1285	63	59	particular	particular	ADJ
ap-1285	63	60	surface	surface	NOUN
ap-1285	63	61	.	.	PUNCT
ap-1285	64	1	the	the	DET
ap-1285	64	2	box	box	NOUN
ap-1285	64	3	-	-	PUNCT
ap-1285	64	4	counting	counting	NOUN
ap-1285	64	5	analyses	analysis	NOUN
ap-1285	64	6	were	be	AUX
ap-1285	64	7	performed	perform	VERB
ap-1285	64	8	in	in	ADP
ap-1285	64	9	the	the	DET
ap-1285	64	10	length	length	NOUN
ap-1285	64	11	interval	interval	NOUN
ap-1285	64	12	〈	〈	PROPN
ap-1285	64	13	2	2	NUM
ap-1285	64	14	μm	μm	NOUN
ap-1285	64	15	,	,	PUNCT
ap-1285	64	16	300	300	NUM
ap-1285	64	17	μm	μm	NUM
ap-1285	64	18	〉	〉	NUM
ap-1285	64	19	.	.	PUNCT
ap-1285	65	1	the	the	DET
ap-1285	65	2	second	second	ADJ
ap-1285	65	3	parts	part	NOUN
ap-1285	65	4	of	of	ADP
ap-1285	65	5	the	the	DET
ap-1285	65	6	fractured	fractured	ADJ
ap-1285	65	7	samples	sample	NOUN
ap-1285	65	8	were	be	AUX
ap-1285	65	9	cut	cut	VERB
ap-1285	65	10	into	into	ADP
ap-1285	65	11	small	small	ADJ
ap-1285	65	12	cubes	cube	NOUN
ap-1285	65	13	and	and	CCONJ
ap-1285	65	14	subjected	subject	VERB
ap-1285	65	15	to	to	ADP
ap-1285	65	16	destructive	destructive	ADJ
ap-1285	65	17	tests	test	NOUN
ap-1285	65	18	to	to	PART
ap-1285	65	19	determine	determine	VERB
ap-1285	65	20	their	their	PRON
ap-1285	65	21	compressive	compressive	ADJ
ap-1285	65	22	strength	strength	NOUN
ap-1285	65	23	values	value	NOUN
ap-1285	65	24	σ	σ	X
ap-1285	65	25	.	.	PUNCT
ap-1285	66	1	it	it	PRON
ap-1285	66	2	is	be	AUX
ap-1285	66	3	known	know	VERB
ap-1285	66	4	that	that	SCONJ
ap-1285	66	5	cement	cement	NOUN
ap-1285	66	6	pastes	paste	NOUN
ap-1285	66	7	of	of	ADP
ap-1285	66	8	higher	high	ADJ
ap-1285	66	9	waterto	waterto	NOUN
ap-1285	66	10	-	-	PUNCT
ap-1285	66	11	cement	cement	NOUN
ap-1285	66	12	ratio	ratio	NOUN
ap-1285	66	13	suffer	suffer	VERB
ap-1285	66	14	from	from	ADP
ap-1285	66	15	sedimentation	sedimentation	NOUN
ap-1285	66	16	of	of	ADP
ap-1285	66	17	cement	cement	NOUN
ap-1285	66	18	clinker	clinker	NOUN
ap-1285	66	19	grains	grain	NOUN
ap-1285	66	20	and	and	CCONJ
ap-1285	66	21	bleeding	bleeding	NOUN
ap-1285	66	22	,	,	PUNCT
ap-1285	66	23	which	which	PRON
ap-1285	66	24	may	may	AUX
ap-1285	66	25	lead	lead	VERB
ap-1285	66	26	to	to	ADP
ap-1285	66	27	lower	low	ADJ
ap-1285	66	28	homogeneity	homogeneity	NOUN
ap-1285	66	29	and	and	CCONJ
ap-1285	66	30	modified	modify	VERB
ap-1285	66	31	w	w	PROPN
ap-1285	66	32	/	/	SYM
ap-1285	66	33	c	c	NOUN
ap-1285	66	34	ratio	ratio	NOUN
ap-1285	66	35	.	.	PUNCT
ap-1285	67	1	the	the	DET
ap-1285	67	2	influences	influence	NOUN
ap-1285	67	3	of	of	ADP
ap-1285	67	4	these	these	DET
ap-1285	67	5	effects	effect	NOUN
ap-1285	67	6	on	on	ADP
ap-1285	67	7	strength	strength	NOUN
ap-1285	67	8	measurements	measurement	NOUN
ap-1285	67	9	have	have	AUX
ap-1285	67	10	been	be	AUX
ap-1285	67	11	partly	partly	ADV
ap-1285	67	12	suppressed	suppress	VERB
ap-1285	67	13	by	by	ADP
ap-1285	67	14	the	the	DET
ap-1285	67	15	fact	fact	NOUN
ap-1285	67	16	that	that	SCONJ
ap-1285	67	17	samples	sample	NOUN
ap-1285	67	18	with	with	ADP
ap-1285	67	19	higher	high	ADJ
ap-1285	67	20	w	w	PROPN
ap-1285	67	21	/	/	SYM
ap-1285	67	22	c	c	NOUN
ap-1285	67	23	are	be	AUX
ap-1285	67	24	localized	localize	VERB
ap-1285	67	25	on	on	ADP
ap-1285	67	26	the	the	DET
ap-1285	67	27	strength	strength	NOUN
ap-1285	67	28	curve	curve	NOUN
ap-1285	67	29	in	in	ADP
ap-1285	67	30	the	the	DET
ap-1285	67	31	less	less	ADV
ap-1285	67	32	sensitive	sensitive	ADJ
ap-1285	67	33	region	region	NOUN
ap-1285	67	34	in	in	ADP
ap-1285	67	35	which	which	PRON
ap-1285	67	36	the	the	DET
ap-1285	67	37	curve	curve	NOUN
ap-1285	67	38	is	be	AUX
ap-1285	67	39	bent	bent	ADJ
ap-1285	67	40	and	and	CCONJ
ap-1285	67	41	asymptotically	asymptotically	ADV
ap-1285	67	42	approaches	approach	VERB
ap-1285	67	43	the	the	DET
ap-1285	67	44	horizontal	horizontal	ADJ
ap-1285	67	45	direction	direction	NOUN
ap-1285	67	46	.	.	PUNCT
ap-1285	68	1	the	the	DET
ap-1285	68	2	surface	surface	NOUN
ap-1285	68	3	inhomogeneity	inhomogeneity	NOUN
ap-1285	68	4	has	have	AUX
ap-1285	68	5	been	be	AUX
ap-1285	68	6	partly	partly	ADV
ap-1285	68	7	compensated	compensate	VERB
ap-1285	68	8	by	by	ADP
ap-1285	68	9	taking	take	VERB
ap-1285	68	10	microscopic	microscopic	ADJ
ap-1285	68	11	images	image	NOUN
ap-1285	68	12	from	from	ADP
ap-1285	68	13	different	different	ADJ
ap-1285	68	14	sites	site	NOUN
ap-1285	68	15	on	on	ADP
ap-1285	68	16	the	the	DET
ap-1285	68	17	surface	surface	NOUN
ap-1285	68	18	.	.	PUNCT
ap-1285	69	1	samples	sample	NOUN
ap-1285	69	2	prepared	prepare	VERB
ap-1285	69	3	with	with	ADP
ap-1285	69	4	different	different	ADJ
ap-1285	69	5	water	water	NOUN
ap-1285	69	6	-	-	PUNCT
ap-1285	69	7	to	to	ADP
ap-1285	69	8	-	-	PUNCT
ap-1285	69	9	cement	cement	NOUN
ap-1285	69	10	ratio	ratio	NOUN
ap-1285	69	11	r	r	NOUN
ap-1285	69	12	possess	possess	VERB
ap-1285	69	13	different	different	ADJ
ap-1285	69	14	porosity	porosity	NOUN
ap-1285	69	15	.	.	PUNCT
ap-1285	70	1	from	from	ADP
ap-1285	70	2	cement	cement	NOUN
ap-1285	70	3	technology	technology	NOUN
ap-1285	70	4	it	it	PRON
ap-1285	70	5	is	be	AUX
ap-1285	70	6	well	well	ADV
ap-1285	70	7	-	-	PUNCT
ap-1285	70	8	known	know	VERB
ap-1285	70	9	that	that	SCONJ
ap-1285	70	10	with	with	ADP
ap-1285	70	11	increasing	increase	VERB
ap-1285	70	12	ratio	ratio	NOUN
ap-1285	70	13	r	r	NOUN
ap-1285	70	14	the	the	DET
ap-1285	70	15	porosity	porosity	NOUN
ap-1285	70	16	increases	increase	VERB
ap-1285	70	17	.	.	PUNCT
ap-1285	71	1	naturally	naturally	ADV
ap-1285	71	2	,	,	PUNCT
ap-1285	71	3	this	this	PRON
ap-1285	71	4	will	will	AUX
ap-1285	71	5	change	change	VERB
ap-1285	71	6	the	the	DET
ap-1285	71	7	dimensions	dimension	NOUN
ap-1285	71	8	of	of	ADP
ap-1285	71	9	the	the	DET
ap-1285	71	10	projected	project	VERB
ap-1285	71	11	patterns	pattern	NOUN
ap-1285	71	12	d∗.	d∗.	ADP
ap-1285	71	13	six	six	NUM
ap-1285	71	14	groups	group	NOUN
ap-1285	71	15	of	of	ADP
ap-1285	71	16	samples	sample	NOUN
ap-1285	71	17	with	with	ADP
ap-1285	71	18	different	different	ADJ
ap-1285	71	19	r	r	NOUN
ap-1285	71	20	means	mean	VERB
ap-1285	71	21	six	six	NUM
ap-1285	71	22	different	different	ADJ
ap-1285	71	23	d∗	d∗	NOUN
ap-1285	71	24	at	at	ADP
ap-1285	71	25	which	which	PRON
ap-1285	71	26	we	we	PRON
ap-1285	71	27	are	be	AUX
ap-1285	71	28	able	able	ADJ
ap-1285	71	29	to	to	PART
ap-1285	71	30	measure	measure	VERB
ap-1285	71	31	the	the	DET
ap-1285	71	32	dependence	dependence	NOUN
ap-1285	71	33	σ(d∗	σ(d∗	ADP
ap-1285	71	34	)	)	PUNCT
ap-1285	71	35	and	and	CCONJ
ap-1285	71	36	check	check	VERB
ap-1285	71	37	it	it	PRON
ap-1285	71	38	according	accord	VERB
ap-1285	71	39	to	to	ADP
ap-1285	71	40	eq	eq	PROPN
ap-1285	71	41	.	.	PUNCT
ap-1285	72	1	(	(	PUNCT
ap-1285	72	2	9	9	NUM
ap-1285	72	3	)	)	PUNCT
ap-1285	72	4	.	.	PUNCT
ap-1285	73	1	the	the	DET
ap-1285	73	2	result	result	NOUN
ap-1285	73	3	can	can	AUX
ap-1285	73	4	be	be	AUX
ap-1285	73	5	seen	see	VERB
ap-1285	73	6	in	in	ADP
ap-1285	73	7	fig	fig	NOUN
ap-1285	73	8	.	.	PUNCT
ap-1285	74	1	1	1	NUM
ap-1285	74	2	along	along	ADP
ap-1285	74	3	with	with	ADP
ap-1285	74	4	all	all	DET
ap-1285	74	5	the	the	DET
ap-1285	74	6	fitting	fitting	ADJ
ap-1285	74	7	27	27	NUM
ap-1285	74	8	acta	acta	PROPN
ap-1285	74	9	polytechnica	polytechnica	PROPN
ap-1285	74	10	vol	vol	NOUN
ap-1285	74	11	.	.	PROPN
ap-1285	75	1	50	50	NUM
ap-1285	75	2	no	no	NOUN
ap-1285	75	3	.	.	PUNCT
ap-1285	76	1	6/2010	6/2010	NUM
ap-1285	76	2	parameters	parameter	NOUN
ap-1285	76	3	.	.	PUNCT
ap-1285	77	1	since	since	SCONJ
ap-1285	77	2	the	the	DET
ap-1285	77	3	assumed	assumed	ADJ
ap-1285	77	4	analytical	analytical	ADJ
ap-1285	77	5	form	form	NOUN
ap-1285	77	6	(	(	PUNCT
ap-1285	77	7	9	9	NUM
ap-1285	77	8	)	)	PUNCT
ap-1285	77	9	of	of	ADP
ap-1285	77	10	the	the	DET
ap-1285	77	11	dependence	dependence	NOUN
ap-1285	77	12	σ(d∗	σ(d∗	CCONJ
ap-1285	77	13	)	)	PUNCT
ap-1285	77	14	has	have	AUX
ap-1285	77	15	been	be	AUX
ap-1285	77	16	reproduced	reproduce	VERB
ap-1285	77	17	well	well	ADV
ap-1285	77	18	,	,	PUNCT
ap-1285	77	19	one	one	PRON
ap-1285	77	20	may	may	AUX
ap-1285	77	21	conclude	conclude	VERB
ap-1285	77	22	that	that	PRON
ap-1285	77	23	compressive	compressive	ADJ
ap-1285	77	24	strength	strength	NOUN
ap-1285	77	25	is	be	AUX
ap-1285	77	26	one	one	NUM
ap-1285	77	27	of	of	ADP
ap-1285	77	28	those	those	DET
ap-1285	77	29	mechanical	mechanical	ADJ
ap-1285	77	30	quantities	quantity	NOUN
ap-1285	77	31	whose	whose	DET
ap-1285	77	32	value	value	NOUN
ap-1285	77	33	is	be	AUX
ap-1285	77	34	‘	'	PUNCT
ap-1285	77	35	coded	code	VERB
ap-1285	77	36	’	'	PUNCT
ap-1285	77	37	in	in	ADP
ap-1285	77	38	the	the	DET
ap-1285	77	39	surface	surface	NOUN
ap-1285	77	40	arrangement	arrangement	NOUN
ap-1285	77	41	of	of	ADP
ap-1285	77	42	the	the	DET
ap-1285	77	43	fractured	fractured	ADJ
ap-1285	77	44	samples	sample	NOUN
ap-1285	77	45	of	of	ADP
ap-1285	77	46	porous	porous	ADJ
ap-1285	77	47	materials	material	NOUN
ap-1285	77	48	.	.	PUNCT
ap-1285	78	1	3	3	NUM
ap-1285	78	2	explanatory	explanatory	ADJ
ap-1285	78	3	remarks	remark	NOUN
ap-1285	78	4	and	and	CCONJ
ap-1285	78	5	discussion	discussion	NOUN
ap-1285	78	6	the	the	DET
ap-1285	78	7	following	follow	VERB
ap-1285	78	8	paragraphs	paragraph	NOUN
ap-1285	78	9	provide	provide	VERB
ap-1285	78	10	comments	comment	NOUN
ap-1285	78	11	on	on	ADP
ap-1285	78	12	the	the	DET
ap-1285	78	13	proposed	propose	VERB
ap-1285	78	14	concept	concept	NOUN
ap-1285	78	15	of	of	ADP
ap-1285	78	16	fractal	fractal	ADJ
ap-1285	78	17	compressive	compressive	ADJ
ap-1285	78	18	strength	strength	NOUN
ap-1285	78	19	in	in	ADP
ap-1285	78	20	order	order	NOUN
ap-1285	78	21	to	to	PART
ap-1285	78	22	clarify	clarify	VERB
ap-1285	78	23	all	all	DET
ap-1285	78	24	its	its	PRON
ap-1285	78	25	crucial	crucial	ADJ
ap-1285	78	26	points	point	NOUN
ap-1285	78	27	.	.	PUNCT
ap-1285	79	1	3.1	3.1	NUM
ap-1285	79	2	derivation	derivation	NOUN
ap-1285	79	3	of	of	ADP
ap-1285	79	4	fractal	fractal	ADJ
ap-1285	79	5	porosity	porosity	NOUN
ap-1285	79	6	the	the	DET
ap-1285	79	7	derivation	derivation	NOUN
ap-1285	79	8	of	of	ADP
ap-1285	79	9	fractal	fractal	ADJ
ap-1285	79	10	porosity	porosity	NOUN
ap-1285	79	11	starts	start	VERB
ap-1285	79	12	with	with	ADP
ap-1285	79	13	eq	eq	NOUN
ap-1285	79	14	.	.	PUNCT
ap-1285	80	1	(	(	PUNCT
ap-1285	80	2	1	1	NUM
ap-1285	80	3	)	)	PUNCT
ap-1285	80	4	,	,	PUNCT
ap-1285	80	5	which	which	PRON
ap-1285	80	6	determines	determine	VERB
ap-1285	80	7	the	the	DET
ap-1285	80	8	number	number	NOUN
ap-1285	80	9	n	n	NOUN
ap-1285	80	10	of	of	ADP
ap-1285	80	11	fractal	fractal	ADJ
ap-1285	80	12	elements	element	NOUN
ap-1285	80	13	on	on	ADP
ap-1285	80	14	the	the	DET
ap-1285	80	15	length	length	NOUN
ap-1285	80	16	scale	scale	NOUN
ap-1285	80	17	l.	l.	NOUN
ap-1285	80	18	the	the	DET
ap-1285	80	19	length	length	NOUN
ap-1285	80	20	l	l	PROPN
ap-1285	80	21	has	have	AUX
ap-1285	80	22	been	be	AUX
ap-1285	80	23	taken	take	VERB
ap-1285	80	24	as	as	ADP
ap-1285	80	25	a	a	DET
ap-1285	80	26	reference	reference	NOUN
ap-1285	80	27	scale	scale	NOUN
ap-1285	80	28	standing	stand	VERB
ap-1285	80	29	for	for	ADP
ap-1285	80	30	the	the	DET
ap-1285	80	31	largest	large	ADJ
ap-1285	80	32	possible	possible	ADJ
ap-1285	80	33	scale	scale	NOUN
ap-1285	80	34	on	on	ADP
ap-1285	80	35	which	which	PRON
ap-1285	80	36	only	only	ADV
ap-1285	80	37	one	one	NUM
ap-1285	80	38	fractal	fractal	ADJ
ap-1285	80	39	element	element	NOUN
ap-1285	80	40	is	be	AUX
ap-1285	80	41	present	present	ADJ
ap-1285	80	42	(	(	PUNCT
ap-1285	80	43	the	the	DET
ap-1285	80	44	so	so	ADV
ap-1285	80	45	-	-	PUNCT
ap-1285	80	46	called	call	VERB
ap-1285	80	47	initiator	initiator	NOUN
ap-1285	80	48	,	,	PUNCT
ap-1285	80	49	to	to	PART
ap-1285	80	50	use	use	VERB
ap-1285	80	51	mandelbrot	mandelbrot	PROPN
ap-1285	80	52	’s	’s	PART
ap-1285	80	53	nomenclature	nomenclature	NOUN
ap-1285	81	1	[	[	X
ap-1285	81	2	14	14	NUM
ap-1285	81	3	]	]	SYM
ap-1285	81	4	)	)	PUNCT
ap-1285	81	5	.	.	PUNCT
ap-1285	82	1	in	in	ADP
ap-1285	82	2	short	short	ADJ
ap-1285	82	3	,	,	PUNCT
ap-1285	82	4	the	the	DET
ap-1285	82	5	object	object	NOUN
ap-1285	82	6	under	under	ADP
ap-1285	82	7	discussion	discussion	NOUN
ap-1285	82	8	shows	show	VERB
ap-1285	82	9	power	power	NOUN
ap-1285	82	10	law	law	NOUN
ap-1285	82	11	behavior	behavior	NOUN
ap-1285	82	12	(	(	PUNCT
ap-1285	82	13	1	1	NUM
ap-1285	82	14	)	)	PUNCT
ap-1285	82	15	only	only	ADV
ap-1285	82	16	within	within	ADP
ap-1285	82	17	a	a	DET
ap-1285	82	18	limited	limited	ADJ
ap-1285	82	19	length	length	NOUN
ap-1285	82	20	interval	interval	NOUN
ap-1285	82	21	(	(	PUNCT
ap-1285	82	22	l	l	NOUN
ap-1285	82	23	,	,	PUNCT
ap-1285	82	24	l	l	NOUN
ap-1285	82	25	)	)	PUNCT
ap-1285	82	26	whose	whose	DET
ap-1285	82	27	borders	border	NOUN
ap-1285	82	28	l	l	PROPN
ap-1285	82	29	and	and	CCONJ
ap-1285	82	30	l	l	NOUN
ap-1285	82	31	were	be	AUX
ap-1285	82	32	coined	coin	VERB
ap-1285	82	33	by	by	ADP
ap-1285	82	34	mandelbrot	mandelbrot	NOUN
ap-1285	82	35	[	[	X
ap-1285	82	36	1	1	X
ap-1285	82	37	]	]	PUNCT
ap-1285	82	38	as	as	ADP
ap-1285	82	39	the	the	DET
ap-1285	82	40	‘	'	PUNCT
ap-1285	82	41	inner	inner	ADJ
ap-1285	82	42	’	'	PUNCT
ap-1285	82	43	and	and	CCONJ
ap-1285	82	44	‘	'	PUNCT
ap-1285	82	45	outer	outer	ADJ
ap-1285	82	46	’	'	PUNCT
ap-1285	82	47	cutoffs	cutoff	NOUN
ap-1285	82	48	.	.	PUNCT
ap-1285	83	1	beyond	beyond	ADP
ap-1285	83	2	this	this	DET
ap-1285	83	3	interval	interval	NOUN
ap-1285	83	4	the	the	DET
ap-1285	83	5	object	object	NOUN
ap-1285	83	6	behaves	behave	VERB
ap-1285	83	7	as	as	ADP
ap-1285	83	8	an	an	DET
ap-1285	83	9	ordinary	ordinary	ADJ
ap-1285	83	10	non	non	ADJ
ap-1285	83	11	-	-	ADJ
ap-1285	83	12	fractal	fractal	ADJ
ap-1285	83	13	euclidean	euclidean	ADJ
ap-1285	83	14	body	body	NOUN
ap-1285	83	15	.	.	PUNCT
ap-1285	84	1	on	on	ADP
ap-1285	84	2	the	the	DET
ap-1285	84	3	smallest	small	ADJ
ap-1285	84	4	length	length	NOUN
ap-1285	84	5	scale	scale	NOUN
ap-1285	84	6	l	l	NOUN
ap-1285	84	7	we	we	PRON
ap-1285	84	8	can	can	AUX
ap-1285	84	9	‘	'	PUNCT
ap-1285	84	10	see	see	VERB
ap-1285	84	11	’	'	PUNCT
ap-1285	84	12	a	a	DET
ap-1285	84	13	great	great	ADJ
ap-1285	84	14	number	number	NOUN
ap-1285	84	15	(	(	PUNCT
ap-1285	84	16	n(l	n(l	PROPN
ap-1285	84	17	)	)	PUNCT
ap-1285	84	18	)	)	PUNCT
ap-1285	84	19	of	of	ADP
ap-1285	84	20	basic	basic	ADJ
ap-1285	84	21	building	building	NOUN
ap-1285	84	22	elements	element	NOUN
ap-1285	84	23	of	of	ADP
ap-1285	84	24	size	size	NOUN
ap-1285	84	25	l	l	NOUN
ap-1285	84	26	,	,	PUNCT
ap-1285	84	27	and	and	CCONJ
ap-1285	84	28	as	as	SCONJ
ap-1285	84	29	we	we	PRON
ap-1285	84	30	go	go	VERB
ap-1285	84	31	to	to	ADP
ap-1285	84	32	larger	large	ADJ
ap-1285	84	33	length	length	NOUN
ap-1285	84	34	scales	scale	NOUN
ap-1285	84	35	,	,	PUNCT
ap-1285	84	36	the	the	DET
ap-1285	84	37	number	number	NOUN
ap-1285	84	38	of	of	ADP
ap-1285	84	39	corresponding	correspond	VERB
ap-1285	84	40	elements	element	NOUN
ap-1285	84	41	decreases	decrease	VERB
ap-1285	84	42	.	.	PUNCT
ap-1285	85	1	at	at	ADP
ap-1285	85	2	the	the	DET
ap-1285	85	3	length	length	NOUN
ap-1285	85	4	scale	scale	NOUN
ap-1285	85	5	l	l	NOUN
ap-1285	85	6	=	=	PUNCT
ap-1285	85	7	l	l	NOUN
ap-1285	85	8	there	there	PRON
ap-1285	85	9	is	be	VERB
ap-1285	85	10	only	only	ADV
ap-1285	85	11	one	one	NUM
ap-1285	85	12	element	element	NOUN
ap-1285	85	13	,	,	PUNCT
ap-1285	85	14	i.e.	i.e.	X
ap-1285	85	15	no	no	PRON
ap-1285	85	16	=	=	ADJ
ap-1285	85	17	1	1	X
ap-1285	85	18	.	.	PUNCT
ap-1285	86	1	this	this	PRON
ap-1285	86	2	is	be	AUX
ap-1285	86	3	a	a	DET
ap-1285	86	4	common	common	ADJ
ap-1285	86	5	property	property	NOUN
ap-1285	86	6	of	of	ADP
ap-1285	86	7	all	all	DET
ap-1285	86	8	self	self	NOUN
ap-1285	86	9	-	-	PUNCT
ap-1285	86	10	similar	similar	ADJ
ap-1285	86	11	fractals	fractal	NOUN
ap-1285	86	12	and	and	CCONJ
ap-1285	86	13	can	can	AUX
ap-1285	86	14	be	be	AUX
ap-1285	86	15	demonstrated	demonstrate	VERB
ap-1285	86	16	very	very	ADV
ap-1285	86	17	instructively	instructively	ADV
ap-1285	86	18	with	with	ADP
ap-1285	86	19	all	all	DET
ap-1285	86	20	deterministic	deterministic	ADJ
ap-1285	86	21	fractals	fractal	NOUN
ap-1285	86	22	[	[	X
ap-1285	86	23	15	15	NUM
ap-1285	86	24	]	]	PUNCT
ap-1285	86	25	,	,	PUNCT
ap-1285	86	26	e.g.	e.g.	ADV
ap-1285	86	27	,	,	PUNCT
ap-1285	86	28	the	the	DET
ap-1285	86	29	cantor	cantor	PROPN
ap-1285	86	30	set	set	PROPN
ap-1285	86	31	,	,	PUNCT
ap-1285	86	32	koch	koch	PROPN
ap-1285	86	33	curve	curve	PROPN
ap-1285	86	34	,	,	PUNCT
ap-1285	86	35	menger	menger	PROPN
ap-1285	86	36	sponge	sponge	NOUN
ap-1285	86	37	,	,	PUNCT
ap-1285	86	38	etc	etc	X
ap-1285	86	39	.	.	X
ap-1285	86	40	to	to	PART
ap-1285	86	41	explain	explain	VERB
ap-1285	86	42	the	the	DET
ap-1285	86	43	origin	origin	NOUN
ap-1285	86	44	of	of	ADP
ap-1285	86	45	eq	eq	PROPN
ap-1285	86	46	.	.	PUNCT
ap-1285	87	1	(	(	PUNCT
ap-1285	87	2	1	1	NUM
ap-1285	87	3	)	)	PUNCT
ap-1285	87	4	,	,	PUNCT
ap-1285	87	5	it	it	PRON
ap-1285	87	6	is	be	AUX
ap-1285	87	7	necessary	necessary	ADJ
ap-1285	87	8	to	to	PART
ap-1285	87	9	go	go	VERB
ap-1285	87	10	to	to	ADP
ap-1285	87	11	the	the	DET
ap-1285	87	12	definition	definition	NOUN
ap-1285	87	13	of	of	ADP
ap-1285	87	14	a	a	DET
ap-1285	87	15	fractal	fractal	ADJ
ap-1285	87	16	measure	measure	NOUN
ap-1285	87	17	and	and	CCONJ
ap-1285	87	18	a	a	DET
ap-1285	87	19	fractal	fractal	ADJ
ap-1285	87	20	dimension	dimension	NOUN
ap-1285	87	21	.	.	PUNCT
ap-1285	88	1	the	the	DET
ap-1285	88	2	most	most	ADV
ap-1285	88	3	general	general	ADJ
ap-1285	88	4	definitions	definition	NOUN
ap-1285	88	5	of	of	ADP
ap-1285	88	6	these	these	DET
ap-1285	88	7	quantities	quantity	NOUN
ap-1285	88	8	are	be	AUX
ap-1285	88	9	those	those	PRON
ap-1285	88	10	of	of	ADP
ap-1285	88	11	hausdorff	hausdorff	NOUN
ap-1285	88	12	[	[	X
ap-1285	88	13	16	16	NUM
ap-1285	88	14	]	]	PUNCT
ap-1285	88	15	.	.	PUNCT
ap-1285	89	1	however	however	ADV
ap-1285	89	2	,	,	PUNCT
ap-1285	89	3	his	his	PRON
ap-1285	89	4	definitions	definition	NOUN
ap-1285	89	5	are	be	AUX
ap-1285	89	6	rather	rather	ADV
ap-1285	89	7	sophisticated	sophisticated	ADJ
ap-1285	89	8	and	and	CCONJ
ap-1285	89	9	not	not	PART
ap-1285	89	10	convenient	convenient	ADJ
ap-1285	89	11	for	for	ADP
ap-1285	89	12	computer	computer	NOUN
ap-1285	89	13	implementation	implementation	NOUN
ap-1285	89	14	.	.	PUNCT
ap-1285	90	1	for	for	ADP
ap-1285	90	2	software	software	NOUN
ap-1285	90	3	processing	process	VERB
ap-1285	90	4	there	there	PRON
ap-1285	90	5	are	be	VERB
ap-1285	90	6	some	some	DET
ap-1285	90	7	modifications	modification	NOUN
ap-1285	90	8	,	,	PUNCT
ap-1285	90	9	among	among	ADP
ap-1285	90	10	which	which	PRON
ap-1285	90	11	the	the	DET
ap-1285	90	12	box	box	NOUN
ap-1285	90	13	-	-	PUNCT
ap-1285	90	14	counting	counting	NOUN
ap-1285	90	15	procedure	procedure	NOUN
ap-1285	90	16	is	be	AUX
ap-1285	90	17	frequently	frequently	ADV
ap-1285	90	18	used	use	VERB
ap-1285	90	19	[	[	X
ap-1285	90	20	17	17	NUM
ap-1285	90	21	,	,	PUNCT
ap-1285	90	22	18	18	NUM
ap-1285	90	23	,	,	PUNCT
ap-1285	90	24	19	19	NUM
ap-1285	90	25	,	,	PUNCT
ap-1285	90	26	20	20	NUM
ap-1285	90	27	]	]	PUNCT
ap-1285	90	28	.	.	PUNCT
ap-1285	91	1	the	the	DET
ap-1285	91	2	box	box	NOUN
ap-1285	91	3	-	-	PUNCT
ap-1285	91	4	counting	counting	NOUN
ap-1285	91	5	measurem	measurem	NOUN
ap-1285	91	6	is	be	AUX
ap-1285	91	7	given	give	VERB
ap-1285	91	8	as	as	ADP
ap-1285	91	9	a	a	DET
ap-1285	91	10	sum	sum	NOUN
ap-1285	91	11	of	of	ADP
ap-1285	91	12	d	d	ADJ
ap-1285	91	13	-	-	ADJ
ap-1285	91	14	dimensional	dimensional	ADJ
ap-1285	91	15	‘	'	PUNCT
ap-1285	91	16	boxes	box	NOUN
ap-1285	91	17	’	'	PUNCT
ap-1285	91	18	(	(	PUNCT
ap-1285	91	19	ld	ld	NOUN
ap-1285	91	20	)	)	PUNCT
ap-1285	91	21	needed	need	VERB
ap-1285	91	22	to	to	PART
ap-1285	91	23	cover	cover	VERB
ap-1285	91	24	the	the	DET
ap-1285	91	25	fractal	fractal	ADJ
ap-1285	91	26	objects	object	NOUN
ap-1285	91	27	embedded	embed	VERB
ap-1285	91	28	in	in	ADP
ap-1285	91	29	the	the	DET
ap-1285	91	30	e	e	ADJ
ap-1285	91	31	-	-	ADJ
ap-1285	91	32	dimensional	dimensional	ADJ
ap-1285	91	33	euclidean	euclidean	ADJ
ap-1285	91	34	space	space	NOUN
ap-1285	91	35	.	.	PUNCT
ap-1285	92	1	the	the	DET
ap-1285	92	2	boxes	box	NOUN
ap-1285	92	3	are	be	AUX
ap-1285	92	4	parts	part	NOUN
ap-1285	92	5	of	of	ADP
ap-1285	92	6	the	the	DET
ap-1285	92	7	d	d	ADJ
ap-1285	92	8	-	-	ADJ
ap-1285	92	9	dimensional	dimensional	ADJ
ap-1285	92	10	network	network	NOUN
ap-1285	92	11	created	create	VERB
ap-1285	92	12	in	in	ADP
ap-1285	92	13	the	the	DET
ap-1285	92	14	euclidean	euclidean	ADJ
ap-1285	92	15	space	space	NOUN
ap-1285	92	16	:	:	PUNCT
ap-1285	92	17	m	m	VERB
ap-1285	92	18	=	=	SYM
ap-1285	93	1	n∑	n∑	PROPN
ap-1285	93	2	i=1	i=1	PROPN
ap-1285	93	3	ld	ld	PROPN
ap-1285	93	4	=	=	SYM
ap-1285	93	5	n	n	PROPN
ap-1285	93	6	·	·	PUNCT
ap-1285	93	7	ld	ld	NOUN
ap-1285	93	8	=	=	PUNCT
ap-1285	93	9	exp(lnn	exp(lnn	NOUN
ap-1285	93	10	)	)	PUNCT
ap-1285	93	11	·	·	PUNCT
ap-1285	94	1	ld	ld	X
ap-1285	94	2	=	=	PUNCT
ap-1285	95	1	[	[	X
ap-1285	95	2	exp(ln	exp(ln	NOUN
ap-1285	95	3	l	l	NOUN
ap-1285	95	4	)	)	PUNCT
ap-1285	95	5	]	]	PUNCT
ap-1285	95	6	lnn	lnn	PROPN
ap-1285	95	7	ln	ln	PROPN
ap-1285	95	8	l	l	NOUN
ap-1285	95	9	·	·	PUNCT
ap-1285	95	10	ld	ld	PROPN
ap-1285	95	11	=	=	SYM
ap-1285	95	12	l	l	NOUN
ap-1285	95	13	lnn	lnn	NOUN
ap-1285	95	14	ln	ln	PROPN
ap-1285	95	15	l	l	NOUN
ap-1285	95	16	·	·	PUNCT
ap-1285	95	17	ld	ld	PROPN
ap-1285	95	18	=	=	SYM
ap-1285	95	19	ld−	ld−	NOUN
ap-1285	95	20	lnn	lnn	NOUN
ap-1285	95	21	ln(1	ln(1	PROPN
ap-1285	95	22	/	/	SYM
ap-1285	95	23	l	l	NOUN
ap-1285	95	24	)	)	PUNCT
ap-1285	95	25	=	=	SYM
ap-1285	95	26	ld−d	ld−d	PROPN
ap-1285	95	27	→	→	SYM
ap-1285	95	28	lim	lim	PROPN
ap-1285	95	29	l→0	l→0	X
ap-1285	95	30	ld−d	ld−d	PROPN
ap-1285	95	31	=	=	SYM
ap-1285	95	32	{	{	PUNCT
ap-1285	95	33	∞	∞	PROPN
ap-1285	95	34	,	,	PUNCT
ap-1285	95	35	d	d	X
ap-1285	95	36	<	<	X
ap-1285	95	37	d	d	PROPN
ap-1285	95	38	0	0	PROPN
ap-1285	95	39	,	,	PUNCT
ap-1285	95	40	d	d	X
ap-1285	95	41	>	>	X
ap-1285	95	42	d	d	X
ap-1285	95	43	}	}	PUNCT
ap-1285	95	44	.	.	PUNCT
ap-1285	96	1	(	(	PUNCT
ap-1285	96	2	10	10	NUM
ap-1285	96	3	)	)	PUNCT
ap-1285	96	4	the	the	DET
ap-1285	96	5	fractal	fractal	PROPN
ap-1285	96	6	box	box	NOUN
ap-1285	96	7	-	-	PUNCT
ap-1285	96	8	counting	counting	NOUN
ap-1285	96	9	dimension	dimension	NOUN
ap-1285	96	10	is	be	AUX
ap-1285	96	11	defined	define	VERB
ap-1285	96	12	by	by	ADP
ap-1285	96	13	the	the	DET
ap-1285	96	14	point	point	NOUN
ap-1285	96	15	of	of	ADP
ap-1285	96	16	discontinuity	discontinuity	NOUN
ap-1285	96	17	of	of	ADP
ap-1285	96	18	the	the	DET
ap-1285	96	19	function	function	NOUN
ap-1285	96	20	m(d	m(d	PROPN
ap-1285	96	21	)	)	PUNCT
ap-1285	96	22	.	.	PUNCT
ap-1285	97	1	according	accord	VERB
ap-1285	97	2	to	to	ADP
ap-1285	97	3	eq	eq	PROPN
ap-1285	97	4	.	.	PUNCT
ap-1285	98	1	(	(	PUNCT
ap-1285	98	2	10	10	NUM
ap-1285	98	3	)	)	PUNCT
ap-1285	98	4	,	,	PUNCT
ap-1285	98	5	this	this	PRON
ap-1285	98	6	is	be	AUX
ap-1285	98	7	just	just	ADV
ap-1285	98	8	the	the	DET
ap-1285	98	9	point	point	NOUN
ap-1285	99	1	d	d	NOUN
ap-1285	99	2	=	=	SYM
ap-1285	100	1	d	d	NOUN
ap-1285	100	2	=	=	PUNCT
ap-1285	100	3	lnn	lnn	PROPN
ap-1285	100	4	ln(1	ln(1	PROPN
ap-1285	100	5	/	/	SYM
ap-1285	100	6	l	l	NOUN
ap-1285	100	7	)	)	PUNCT
ap-1285	100	8	(	(	PUNCT
ap-1285	100	9	11	11	NUM
ap-1285	100	10	)	)	PUNCT
ap-1285	100	11	where	where	SCONJ
ap-1285	100	12	the	the	DET
ap-1285	100	13	measurem	measurem	NOUN
ap-1285	100	14	abruptly	abruptly	ADV
ap-1285	100	15	changes	change	VERB
ap-1285	100	16	its	its	PRON
ap-1285	100	17	value	value	NOUN
ap-1285	100	18	from	from	ADP
ap-1285	100	19	infinity	infinity	NOUN
ap-1285	100	20	to	to	ADP
ap-1285	100	21	zero	zero	NUM
ap-1285	100	22	.	.	PUNCT
ap-1285	101	1	from	from	ADP
ap-1285	101	2	such	such	DET
ap-1285	101	3	a	a	DET
ap-1285	101	4	defined	define	VERB
ap-1285	101	5	dimension	dimension	NOUN
ap-1285	101	6	d	d	NOUN
ap-1285	101	7	it	it	PRON
ap-1285	101	8	is	be	AUX
ap-1285	101	9	easy	easy	ADJ
ap-1285	101	10	to	to	PART
ap-1285	101	11	express	express	VERB
ap-1285	101	12	the	the	DET
ap-1285	101	13	number	number	NOUN
ap-1285	101	14	n	n	NOUN
ap-1285	101	15	of	of	ADP
ap-1285	101	16	fractal	fractal	ADJ
ap-1285	101	17	elements	element	NOUN
ap-1285	101	18	whose	whose	DET
ap-1285	101	19	size	size	NOUN
ap-1285	101	20	is	be	AUX
ap-1285	101	21	equal	equal	ADJ
ap-1285	101	22	to	to	ADP
ap-1285	101	23	l	l	NOUN
ap-1285	101	24	or	or	CCONJ
ap-1285	101	25	l	l	NOUN
ap-1285	101	26	n(l	n(l	PROPN
ap-1285	101	27	)	)	PUNCT
ap-1285	102	1	=	=	SYM
ap-1285	102	2	l−d	l−d	PROPN
ap-1285	102	3	,	,	PUNCT
ap-1285	102	4	(	(	PUNCT
ap-1285	102	5	12	12	NUM
ap-1285	102	6	)	)	PUNCT
ap-1285	102	7	n(l	n(l	PROPN
ap-1285	102	8	)	)	PUNCT
ap-1285	103	1	=	=	SYM
ap-1285	103	2	l−d	l−d	PROPN
ap-1285	103	3	=	=	SYM
ap-1285	103	4	no	no	INTJ
ap-1285	103	5	.	.	PUNCT
ap-1285	104	1	(	(	PUNCT
ap-1285	104	2	13	13	NUM
ap-1285	104	3	)	)	PUNCT
ap-1285	104	4	combining	combine	VERB
ap-1285	104	5	(	(	PUNCT
ap-1285	104	6	12	12	NUM
ap-1285	104	7	)	)	PUNCT
ap-1285	104	8	and	and	CCONJ
ap-1285	104	9	(	(	PUNCT
ap-1285	104	10	13	13	NUM
ap-1285	104	11	)	)	PUNCT
ap-1285	104	12	,	,	PUNCT
ap-1285	104	13	we	we	PRON
ap-1285	104	14	obtain	obtain	VERB
ap-1285	104	15	n(l	n(l	PROPN
ap-1285	104	16	)	)	PUNCT
ap-1285	105	1	=	=	SYM
ap-1285	105	2	no	no	INTJ
ap-1285	105	3	(	(	PUNCT
ap-1285	105	4	l	l	NOUN
ap-1285	105	5	l	l	NOUN
ap-1285	105	6	)	)	PUNCT
ap-1285	106	1	d	d	NOUN
ap-1285	106	2	.	.	PUNCT
ap-1285	107	1	(	(	PUNCT
ap-1285	107	2	14	14	NUM
ap-1285	107	3	)	)	PUNCT
ap-1285	107	4	bearing	bear	VERB
ap-1285	107	5	in	in	ADP
ap-1285	107	6	mind	mind	NOUN
ap-1285	107	7	that	that	SCONJ
ap-1285	107	8	no	no	PRON
ap-1285	107	9	belongs	belong	VERB
ap-1285	107	10	to	to	ADP
ap-1285	107	11	the	the	DET
ap-1285	107	12	‘	'	PUNCT
ap-1285	107	13	initiator	initiator	NOUN
ap-1285	107	14	’	'	PUNCT
ap-1285	107	15	of	of	ADP
ap-1285	107	16	the	the	DET
ap-1285	107	17	fractal	fractal	ADJ
ap-1285	107	18	object	object	NOUN
ap-1285	107	19	,	,	PUNCT
ap-1285	108	1	i.e.	i.e.	X
ap-1285	108	2	no	no	DET
ap-1285	108	3	=	=	SYM
ap-1285	108	4	1	1	NUM
ap-1285	108	5	,	,	PUNCT
ap-1285	108	6	we	we	PRON
ap-1285	108	7	obtain	obtain	VERB
ap-1285	108	8	n(l	n(l	PROPN
ap-1285	108	9	)	)	PUNCT
ap-1285	108	10	=	=	PUNCT
ap-1285	109	1	(	(	PUNCT
ap-1285	109	2	l	l	NOUN
ap-1285	109	3	l	l	NOUN
ap-1285	109	4	)	)	PUNCT
ap-1285	109	5	d	d	NOUN
ap-1285	109	6	(	(	PUNCT
ap-1285	109	7	15	15	NUM
ap-1285	109	8	)	)	PUNCT
ap-1285	109	9	with	with	ADP
ap-1285	109	10	a	a	DET
ap-1285	109	11	total	total	ADJ
ap-1285	109	12	interval	interval	NOUN
ap-1285	109	13	of	of	ADP
ap-1285	109	14	fractality	fractality	NOUN
ap-1285	109	15	(	(	PUNCT
ap-1285	109	16	l	l	NOUN
ap-1285	109	17	,	,	PUNCT
ap-1285	109	18	l	l	NOUN
ap-1285	109	19	)	)	PUNCT
ap-1285	109	20	.	.	PUNCT
ap-1285	110	1	relation	relation	NOUN
ap-1285	110	2	(	(	PUNCT
ap-1285	110	3	15	15	NUM
ap-1285	110	4	)	)	PUNCT
ap-1285	110	5	is	be	AUX
ap-1285	110	6	in	in	ADP
ap-1285	110	7	fact	fact	NOUN
ap-1285	110	8	eq	eq	ADJ
ap-1285	110	9	.	.	PUNCT
ap-1285	111	1	(	(	PUNCT
ap-1285	111	2	1	1	NUM
ap-1285	111	3	)	)	PUNCT
ap-1285	111	4	,	,	PUNCT
ap-1285	111	5	which	which	PRON
ap-1285	111	6	was	be	AUX
ap-1285	111	7	a	a	DET
ap-1285	111	8	starting	starting	NOUN
ap-1285	111	9	point	point	NOUN
ap-1285	111	10	in	in	ADP
ap-1285	111	11	deriving	derive	VERB
ap-1285	111	12	fractal	fractal	ADJ
ap-1285	111	13	porosity	porosity	NOUN
ap-1285	111	14	in	in	ADP
ap-1285	111	15	section	section	NOUN
ap-1285	111	16	2.1	2.1	NUM
ap-1285	111	17	.	.	PUNCT
ap-1285	112	1	the	the	DET
ap-1285	112	2	functionality	functionality	NOUN
ap-1285	112	3	of	of	ADP
ap-1285	112	4	(	(	PUNCT
ap-1285	112	5	15	15	NUM
ap-1285	112	6	)	)	PUNCT
ap-1285	112	7	can	can	AUX
ap-1285	112	8	be	be	AUX
ap-1285	112	9	easily	easily	ADV
ap-1285	112	10	verified	verify	VERB
ap-1285	112	11	using	use	VERB
ap-1285	112	12	deterministic	deterministic	ADJ
ap-1285	112	13	fractals	fractal	NOUN
ap-1285	112	14	[	[	X
ap-1285	112	15	15	15	NUM
ap-1285	112	16	]	]	PUNCT
ap-1285	112	17	.	.	PUNCT
ap-1285	113	1	for	for	ADP
ap-1285	113	2	example	example	NOUN
ap-1285	113	3	,	,	PUNCT
ap-1285	113	4	the	the	DET
ap-1285	113	5	koch	koch	PROPN
ap-1285	113	6	curve	curve	NOUN
ap-1285	113	7	(	(	PUNCT
ap-1285	113	8	d	d	X
ap-1285	113	9	=	=	SYM
ap-1285	113	10	ln	ln	PROPN
ap-1285	113	11	4/	4/	NUM
ap-1285	113	12	ln	ln	NOUN
ap-1285	113	13	3	3	NUM
ap-1285	113	14	)	)	PUNCT
ap-1285	113	15	in	in	ADP
ap-1285	113	16	its	its	PRON
ap-1285	113	17	third	third	ADJ
ap-1285	113	18	generation	generation	NOUN
ap-1285	113	19	hasn3	hasn3	VERB
ap-1285	114	1	=	=	PUNCT
ap-1285	114	2	43	43	NUM
ap-1285	114	3	elements	element	NOUN
ap-1285	114	4	with	with	ADP
ap-1285	114	5	the	the	DET
ap-1285	114	6	length	length	NOUN
ap-1285	114	7	l3	l3	PROPN
ap-1285	114	8	=	=	PROPN
ap-1285	115	1	1/3	1/3	NUM
ap-1285	115	2	3	3	NUM
ap-1285	115	3	.	.	PUNCT
ap-1285	116	1	the	the	DET
ap-1285	116	2	number	number	NOUN
ap-1285	116	3	n3	n3	NOUN
ap-1285	116	4	=	=	NOUN
ap-1285	116	5	43	43	NUM
ap-1285	116	6	can	can	AUX
ap-1285	116	7	be	be	AUX
ap-1285	116	8	obtained	obtain	VERB
ap-1285	116	9	from	from	ADP
ap-1285	116	10	eq	eq	PROPN
ap-1285	116	11	.	.	PUNCT
ap-1285	117	1	(	(	PUNCT
ap-1285	117	2	15	15	NUM
ap-1285	117	3	)	)	PUNCT
ap-1285	117	4	by	by	ADP
ap-1285	117	5	inserting	insert	VERB
ap-1285	117	6	l	l	NOUN
ap-1285	117	7	=	=	SYM
ap-1285	117	8	1	1	NUM
ap-1285	117	9	,	,	PUNCT
ap-1285	118	1	l3	l3	PROPN
ap-1285	118	2	=	=	SYM
ap-1285	118	3	1/33	1/33	NUM
ap-1285	118	4	and	and	CCONJ
ap-1285	118	5	d	d	NOUN
ap-1285	118	6	=	=	SYM
ap-1285	118	7	ln	ln	PROPN
ap-1285	118	8	4/	4/	NUM
ap-1285	118	9	ln	ln	NOUN
ap-1285	118	10	3	3	NUM
ap-1285	118	11	which	which	PRON
ap-1285	118	12	give	give	VERB
ap-1285	118	13	the	the	DET
ap-1285	118	14	following	follow	VERB
ap-1285	118	15	result	result	NOUN
ap-1285	118	16	n3	n3	NOUN
ap-1285	118	17	=	=	X
ap-1285	118	18	[	[	PUNCT
ap-1285	118	19	1/(1/33	1/(1/33	NUM
ap-1285	118	20	)	)	PUNCT
ap-1285	118	21	]	]	PUNCT
ap-1285	119	1	d	d	X
ap-1285	119	2	=	=	SYM
ap-1285	119	3	33d	33d	NOUN
ap-1285	119	4	=	=	SYM
ap-1285	119	5	33	33	NUM
ap-1285	119	6	ln	ln	ADJ
ap-1285	119	7	4/	4/	NUM
ap-1285	119	8	ln	ln	NOUN
ap-1285	119	9	3	3	NUM
ap-1285	119	10	=	=	NOUN
ap-1285	119	11	e3	e3	VERB
ap-1285	119	12	ln	ln	ADJ
ap-1285	119	13	3·ln	3·ln	NUM
ap-1285	119	14	4/	4/	NUM
ap-1285	119	15	ln	ln	NOUN
ap-1285	119	16	3	3	NUM
ap-1285	119	17	=	=	NOUN
ap-1285	119	18	e3	e3	VERB
ap-1285	119	19	ln	ln	NOUN
ap-1285	119	20	4	4	NUM
ap-1285	119	21	=	=	SYM
ap-1285	119	22	43	43	NUM
ap-1285	119	23	in	in	ADP
ap-1285	119	24	full	full	ADJ
ap-1285	119	25	agreement	agreement	NOUN
ap-1285	119	26	with	with	ADP
ap-1285	119	27	what	what	PRON
ap-1285	119	28	had	have	AUX
ap-1285	119	29	been	be	AUX
ap-1285	119	30	expected	expect	VERB
ap-1285	119	31	.	.	PUNCT
ap-1285	120	1	if	if	SCONJ
ap-1285	120	2	the	the	DET
ap-1285	120	3	length	length	NOUN
ap-1285	120	4	l	l	NOUN
ap-1285	120	5	of	of	ADP
ap-1285	120	6	the	the	DET
ap-1285	120	7	initiator	initiator	NOUN
ap-1285	120	8	is	be	AUX
ap-1285	120	9	different	different	ADJ
ap-1285	120	10	from	from	ADP
ap-1285	120	11	one	one	NUM
ap-1285	120	12	,	,	PUNCT
ap-1285	120	13	however	however	ADV
ap-1285	120	14	,	,	PUNCT
ap-1285	120	15	the	the	DET
ap-1285	120	16	result	result	NOUN
ap-1285	120	17	remains	remain	VERB
ap-1285	120	18	unchanged	unchanged	ADJ
ap-1285	120	19	,	,	PUNCT
ap-1285	120	20	i.e.	i.e.	X
ap-1285	120	21	n3	n3	NOUN
ap-1285	120	22	=	=	SYM
ap-1285	120	23	[	[	PUNCT
ap-1285	120	24	l/	l/	X
ap-1285	120	25	(	(	PUNCT
ap-1285	120	26	l/33	l/33	NOUN
ap-1285	120	27	)	)	PUNCT
ap-1285	120	28	]	]	X
ap-1285	121	1	d	d	X
ap-1285	121	2	=	=	PUNCT
ap-1285	121	3	33d	33d	X
ap-1285	121	4	.	.	PUNCT
ap-1285	121	5	.	.	PUNCT
ap-1285	121	6	.	.	PUNCT
ap-1285	122	1	as	as	ADV
ap-1285	122	2	far	far	ADV
ap-1285	122	3	as	as	SCONJ
ap-1285	122	4	eq.(2	eq.(2	ADJ
ap-1285	122	5	)	)	PUNCT
ap-1285	122	6	is	be	AUX
ap-1285	122	7	concerned	concern	VERB
ap-1285	122	8	,	,	PUNCT
ap-1285	122	9	we	we	PRON
ap-1285	122	10	may	may	AUX
ap-1285	122	11	raise	raise	VERB
ap-1285	122	12	a	a	DET
ap-1285	122	13	question	question	NOUN
ap-1285	122	14	about	about	ADP
ap-1285	122	15	its	its	PRON
ap-1285	122	16	validity	validity	NOUN
ap-1285	122	17	if	if	SCONJ
ap-1285	122	18	the	the	DET
ap-1285	122	19	basic	basic	ADJ
ap-1285	122	20	building	building	NOUN
ap-1285	122	21	elements	element	NOUN
ap-1285	122	22	of	of	ADP
ap-1285	122	23	size	size	NOUN
ap-1285	122	24	l	l	NOUN
ap-1285	122	25	are	be	AUX
ap-1285	122	26	small	small	ADJ
ap-1285	122	27	spheres	sphere	NOUN
ap-1285	122	28	tightly	tightly	ADV
ap-1285	122	29	packed	pack	VERB
ap-1285	122	30	in	in	ADP
ap-1285	122	31	the	the	DET
ap-1285	122	32	euclidean	euclidean	ADJ
ap-1285	122	33	space	space	NOUN
ap-1285	122	34	.	.	PUNCT
ap-1285	123	1	due	due	ADP
ap-1285	123	2	to	to	ADP
ap-1285	123	3	the	the	DET
ap-1285	123	4	compactness	compactness	NOUN
ap-1285	123	5	of	of	ADP
ap-1285	123	6	the	the	DET
ap-1285	123	7	structure	structure	NOUN
ap-1285	123	8	it	it	PRON
ap-1285	123	9	holds	hold	VERB
ap-1285	123	10	d	d	NOUN
ap-1285	123	11	=	=	SYM
ap-1285	123	12	3	3	NUM
ap-1285	123	13	.	.	NOUN
ap-1285	123	14	eq	eq	NOUN
ap-1285	123	15	.	.	PUNCT
ap-1285	124	1	(	(	PUNCT
ap-1285	124	2	2	2	NUM
ap-1285	124	3	)	)	PUNCT
ap-1285	124	4	then	then	ADV
ap-1285	124	5	yields	yield	VERB
ap-1285	124	6	p	p	PROPN
ap-1285	124	7	=	=	NOUN
ap-1285	124	8	0	0	PROPN
ap-1285	124	9	instead	instead	ADV
ap-1285	124	10	of	of	ADP
ap-1285	124	11	p	p	X
ap-1285	124	12	>	>	X
ap-1285	124	13	0	0	PROPN
ap-1285	124	14	,	,	PUNCT
ap-1285	124	15	which	which	PRON
ap-1285	124	16	would	would	AUX
ap-1285	124	17	be	be	AUX
ap-1285	124	18	expected	expect	VERB
ap-1285	124	19	since	since	SCONJ
ap-1285	124	20	there	there	PRON
ap-1285	124	21	are	be	VERB
ap-1285	124	22	always	always	ADV
ap-1285	124	23	gaps	gap	NOUN
ap-1285	124	24	between	between	ADP
ap-1285	124	25	spheres	sphere	NOUN
ap-1285	124	26	,	,	PUNCT
ap-1285	124	27	regardless	regardless	ADV
ap-1285	124	28	of	of	ADP
ap-1285	124	29	their	their	PRON
ap-1285	124	30	type	type	NOUN
ap-1285	124	31	of	of	ADP
ap-1285	124	32	space	space	NOUN
ap-1285	124	33	arrangement	arrangement	NOUN
ap-1285	124	34	.	.	PUNCT
ap-1285	125	1	here	here	ADV
ap-1285	125	2	we	we	PRON
ap-1285	125	3	should	should	AUX
ap-1285	125	4	bear	bear	VERB
ap-1285	125	5	in	in	ADP
ap-1285	125	6	mind	mind	NOUN
ap-1285	125	7	that	that	SCONJ
ap-1285	125	8	spheres	sphere	NOUN
ap-1285	125	9	of	of	ADP
ap-1285	125	10	finite	finite	ADJ
ap-1285	125	11	diameter	diameter	NOUN
ap-1285	125	12	can	can	AUX
ap-1285	125	13	not	not	PART
ap-1285	125	14	generate	generate	VERB
ap-1285	125	15	a	a	DET
ap-1285	125	16	true	true	ADJ
ap-1285	125	17	fractal	fractal	NOUN
ap-1285	125	18	since	since	SCONJ
ap-1285	125	19	it	it	PRON
ap-1285	125	20	requires	require	VERB
ap-1285	125	21	the	the	DET
ap-1285	125	22	presence	presence	NOUN
ap-1285	125	23	of	of	ADP
ap-1285	125	24	an	an	DET
ap-1285	125	25	infinitely	infinitely	ADV
ap-1285	125	26	fine	fine	ADJ
ap-1285	125	27	structure	structure	NOUN
ap-1285	125	28	,	,	PUNCT
ap-1285	125	29	i.e.	i.e.	X
ap-1285	125	30	l	l	X
ap-1285	125	31	→	→	X
ap-1285	125	32	0	0	X
ap-1285	125	33	.	.	PUNCT
ap-1285	126	1	in	in	ADP
ap-1285	126	2	such	such	DET
ap-1285	126	3	a	a	DET
ap-1285	126	4	case	case	NOUN
ap-1285	126	5	eq	eq	ADP
ap-1285	126	6	.	.	PUNCT
ap-1285	127	1	(	(	PUNCT
ap-1285	127	2	2	2	X
ap-1285	127	3	)	)	PUNCT
ap-1285	127	4	provides	provide	VERB
ap-1285	127	5	p	p	NOUN
ap-1285	127	6	=	=	NOUN
ap-1285	127	7	1	1	NUM
ap-1285	127	8	−	−	NOUN
ap-1285	127	9	00	00	NUM
ap-1285	127	10	which	which	PRON
ap-1285	127	11	is	be	AUX
ap-1285	127	12	,	,	PUNCT
ap-1285	127	13	however	however	ADV
ap-1285	127	14	,	,	PUNCT
ap-1285	127	15	an	an	DET
ap-1285	127	16	uncertain	uncertain	ADJ
ap-1285	127	17	expression	expression	NOUN
ap-1285	127	18	that	that	PRON
ap-1285	127	19	allows	allow	VERB
ap-1285	127	20	no	no	DET
ap-1285	127	21	mathematical	mathematical	ADJ
ap-1285	127	22	decision	decision	NOUN
ap-1285	127	23	to	to	PART
ap-1285	127	24	be	be	AUX
ap-1285	127	25	made	make	VERB
ap-1285	127	26	.	.	PUNCT
ap-1285	128	1	nevertheless	nevertheless	ADV
ap-1285	128	2	,	,	PUNCT
ap-1285	128	3	the	the	DET
ap-1285	128	4	condition	condition	NOUN
ap-1285	128	5	l	l	NOUN
ap-1285	128	6	→	→	SYM
ap-1285	128	7	0	0	NUM
ap-1285	128	8	ensures	ensure	VERB
ap-1285	128	9	that	that	SCONJ
ap-1285	128	10	with	with	ADP
ap-1285	128	11	tight	tight	ADJ
ap-1285	128	12	arrangement	arrangement	NOUN
ap-1285	128	13	28	28	NUM
ap-1285	128	14	acta	acta	PROPN
ap-1285	128	15	polytechnica	polytechnica	PROPN
ap-1285	128	16	vol	vol	NOUN
ap-1285	128	17	.	.	PROPN
ap-1285	129	1	50	50	NUM
ap-1285	129	2	no	no	NOUN
ap-1285	129	3	.	.	PUNCT
ap-1285	130	1	6/2010	6/2010	NUM
ap-1285	130	2	there	there	PRON
ap-1285	130	3	are	be	VERB
ap-1285	130	4	no	no	DET
ap-1285	130	5	gaps	gap	NOUN
ap-1285	130	6	between	between	ADP
ap-1285	130	7	‘	'	PUNCT
ap-1285	130	8	spheres	sphere	NOUN
ap-1285	130	9	’	'	PUNCT
ap-1285	130	10	,	,	PUNCT
ap-1285	130	11	since	since	SCONJ
ap-1285	130	12	‘	'	PUNCT
ap-1285	130	13	point	point	NOUN
ap-1285	130	14	-	-	PUNCT
ap-1285	130	15	like	like	ADJ
ap-1285	130	16	spheres	sphere	NOUN
ap-1285	130	17	’	'	PUNCT
ap-1285	130	18	completely	completely	ADV
ap-1285	130	19	fill	fill	VERB
ap-1285	130	20	in	in	ADP
ap-1285	130	21	the	the	DET
ap-1285	130	22	euclidean	euclidean	ADJ
ap-1285	130	23	space	space	NOUN
ap-1285	130	24	and	and	CCONJ
ap-1285	130	25	,	,	PUNCT
ap-1285	130	26	thus	thus	ADV
ap-1285	130	27	,	,	PUNCT
ap-1285	130	28	porosity	porosity	NOUN
ap-1285	130	29	must	must	AUX
ap-1285	130	30	be	be	AUX
ap-1285	130	31	zero	zero	NUM
ap-1285	130	32	.	.	PUNCT
ap-1285	131	1	this	this	PRON
ap-1285	131	2	means	mean	VERB
ap-1285	131	3	that	that	SCONJ
ap-1285	131	4	the	the	DET
ap-1285	131	5	uncertain	uncertain	ADJ
ap-1285	131	6	expression	expression	NOUN
ap-1285	131	7	p	p	NOUN
ap-1285	131	8	=	=	NOUN
ap-1285	131	9	1	1	NUM
ap-1285	131	10	−	−	NOUN
ap-1285	131	11	00	00	PUNCT
ap-1285	131	12	should	should	AUX
ap-1285	131	13	also	also	ADV
ap-1285	131	14	converge	converge	VERB
ap-1285	131	15	to	to	ADP
ap-1285	131	16	zero	zero	NUM
ap-1285	131	17	.	.	PUNCT
ap-1285	132	1	in	in	ADP
ap-1285	132	2	addition	addition	NOUN
ap-1285	132	3	,	,	PUNCT
ap-1285	132	4	performing	perform	VERB
ap-1285	132	5	the	the	DET
ap-1285	132	6	same	same	ADJ
ap-1285	132	7	procedure	procedure	NOUN
ap-1285	132	8	with	with	ADP
ap-1285	132	9	small	small	ADJ
ap-1285	132	10	cubes	cube	NOUN
ap-1285	132	11	instead	instead	ADV
ap-1285	132	12	of	of	ADP
ap-1285	132	13	small	small	ADJ
ap-1285	132	14	spheres	sphere	NOUN
ap-1285	132	15	,	,	PUNCT
ap-1285	132	16	the	the	DET
ap-1285	132	17	value	value	NOUN
ap-1285	132	18	d	d	X
ap-1285	132	19	=	=	SYM
ap-1285	132	20	3	3	NUM
ap-1285	132	21	(	(	PUNCT
ap-1285	132	22	tight	tight	ADJ
ap-1285	132	23	arrangement	arrangement	NOUN
ap-1285	132	24	)	)	PUNCT
ap-1285	132	25	can	can	AUX
ap-1285	132	26	be	be	AUX
ap-1285	132	27	attained	attain	VERB
ap-1285	132	28	even	even	ADV
ap-1285	132	29	with	with	ADP
ap-1285	132	30	cubes	cube	NOUN
ap-1285	132	31	of	of	ADP
ap-1285	132	32	finite	finite	ADJ
ap-1285	132	33	size	size	NOUN
ap-1285	132	34	(	(	PUNCT
ap-1285	132	35	l	l	NOUN
ap-1285	132	36	>	>	X
ap-1285	132	37	0	0	NUM
ap-1285	132	38	)	)	PUNCT
ap-1285	132	39	,	,	PUNCT
ap-1285	132	40	and	and	CCONJ
ap-1285	132	41	the	the	DET
ap-1285	132	42	corresponding	corresponding	ADJ
ap-1285	132	43	porosity	porosity	NOUN
ap-1285	132	44	is	be	AUX
ap-1285	132	45	then	then	ADV
ap-1285	132	46	exactly	exactly	ADV
ap-1285	132	47	zero	zero	NUM
ap-1285	132	48	(	(	PUNCT
ap-1285	132	49	p	p	NOUN
ap-1285	132	50	=	=	NOUN
ap-1285	132	51	0	0	NUM
ap-1285	132	52	)	)	PUNCT
ap-1285	132	53	,	,	PUNCT
ap-1285	132	54	as	as	SCONJ
ap-1285	132	55	required	require	VERB
ap-1285	132	56	.	.	PUNCT
ap-1285	133	1	therefore	therefore	ADV
ap-1285	133	2	,	,	PUNCT
ap-1285	133	3	the	the	DET
ap-1285	133	4	non	non	ADJ
ap-1285	133	5	-	-	ADJ
ap-1285	133	6	zero	zero	NUM
ap-1285	133	7	porosity	porosity	NOUN
ap-1285	133	8	in	in	ADP
ap-1285	133	9	the	the	DET
ap-1285	133	10	case	case	NOUN
ap-1285	133	11	of	of	ADP
ap-1285	133	12	‘	'	PUNCT
ap-1285	133	13	tightly	tightly	ADV
ap-1285	133	14	’	'	PUNCT
ap-1285	133	15	packed	pack	VERB
ap-1285	133	16	spheres	sphere	NOUN
ap-1285	133	17	of	of	ADP
ap-1285	133	18	finite	finite	ADJ
ap-1285	133	19	size	size	NOUN
ap-1285	133	20	is	be	AUX
ap-1285	133	21	a	a	DET
ap-1285	133	22	consequence	consequence	NOUN
ap-1285	133	23	of	of	ADP
ap-1285	133	24	a	a	DET
ap-1285	133	25	shape	shape	NOUN
ap-1285	133	26	artifact	artifact	NOUN
ap-1285	133	27	and	and	CCONJ
ap-1285	133	28	not	not	PART
ap-1285	133	29	of	of	ADP
ap-1285	133	30	erroneous	erroneous	ADJ
ap-1285	133	31	behavior	behavior	NOUN
ap-1285	133	32	of	of	ADP
ap-1285	133	33	eq	eq	PROPN
ap-1285	133	34	.	.	PUNCT
ap-1285	134	1	(	(	PUNCT
ap-1285	134	2	2	2	NUM
ap-1285	134	3	)	)	PUNCT
ap-1285	134	4	.	.	PUNCT
ap-1285	135	1	when	when	SCONJ
ap-1285	135	2	dealing	deal	VERB
ap-1285	135	3	with	with	ADP
ap-1285	135	4	a	a	DET
ap-1285	135	5	composite	composite	ADJ
ap-1285	135	6	material	material	NOUN
ap-1285	135	7	,	,	PUNCT
ap-1285	135	8	not	not	PART
ap-1285	135	9	each	each	PRON
ap-1285	135	10	of	of	ADP
ap-1285	135	11	its	its	PRON
ap-1285	135	12	components	component	NOUN
ap-1285	135	13	is	be	AUX
ap-1285	135	14	a	a	DET
ap-1285	135	15	fractal	fractal	ADJ
ap-1285	135	16	and	and	CCONJ
ap-1285	135	17	not	not	PART
ap-1285	135	18	each	each	DET
ap-1285	135	19	fractal	fractal	ADJ
ap-1285	135	20	cluster	cluster	NOUN
ap-1285	135	21	is	be	AUX
ap-1285	135	22	delocalized	delocalize	VERB
ap-1285	135	23	over	over	ADP
ap-1285	135	24	the	the	DET
ap-1285	135	25	whole	whole	ADJ
ap-1285	135	26	sample	sample	NOUN
ap-1285	135	27	.	.	PUNCT
ap-1285	136	1	for	for	ADP
ap-1285	136	2	this	this	DET
ap-1285	136	3	reason	reason	NOUN
ap-1285	136	4	,	,	PUNCT
ap-1285	136	5	it	it	PRON
ap-1285	136	6	is	be	AUX
ap-1285	136	7	necessary	necessary	ADJ
ap-1285	136	8	to	to	PART
ap-1285	136	9	assume	assume	VERB
ap-1285	136	10	that	that	SCONJ
ap-1285	136	11	the	the	DET
ap-1285	136	12	sample	sample	NOUN
ap-1285	136	13	consists	consist	VERB
ap-1285	136	14	of	of	ADP
ap-1285	136	15	sets	set	NOUN
ap-1285	136	16	(	(	PUNCT
ap-1285	136	17	i	i	NOUN
ap-1285	136	18	=	=	NOUN
ap-1285	136	19	0	0	NUM
ap-1285	136	20	,	,	PUNCT
ap-1285	136	21	1	1	NUM
ap-1285	136	22	,	,	PUNCT
ap-1285	136	23	2	2	NUM
ap-1285	136	24	,	,	PUNCT
ap-1285	136	25	.	.	PUNCT
ap-1285	136	26	.	.	PUNCT
ap-1285	137	1	.	.	PUNCT
ap-1285	138	1	,	,	PUNCT
ap-1285	138	2	n	n	CCONJ
ap-1285	138	3	)	)	PUNCT
ap-1285	138	4	of	of	ADP
ap-1285	138	5	both	both	CCONJ
ap-1285	138	6	fractal	fractal	ADJ
ap-1285	138	7	and	and	CCONJ
ap-1285	138	8	non	non	ADJ
ap-1285	138	9	-	-	ADJ
ap-1285	138	10	fractal	fractal	ADJ
ap-1285	138	11	clusters	cluster	NOUN
ap-1285	138	12	whose	whose	DET
ap-1285	138	13	characteristic	characteristic	ADJ
ap-1285	138	14	sizes	size	NOUN
ap-1285	138	15	li	li	PROPN
ap-1285	138	16	are	be	AUX
ap-1285	138	17	smaller	small	ADJ
ap-1285	138	18	than	than	ADP
ap-1285	138	19	or	or	CCONJ
ap-1285	138	20	at	at	ADP
ap-1285	138	21	most	most	ADV
ap-1285	138	22	equal	equal	ADJ
ap-1285	138	23	to	to	ADP
ap-1285	138	24	the	the	DET
ap-1285	138	25	size	size	NOUN
ap-1285	138	26	λ	λ	PROPN
ap-1285	138	27	of	of	ADP
ap-1285	138	28	the	the	DET
ap-1285	138	29	sample	sample	NOUN
ap-1285	138	30	(	(	PUNCT
ap-1285	138	31	fig	fig	NOUN
ap-1285	138	32	.	.	PUNCT
ap-1285	139	1	2	2	NUM
ap-1285	139	2	)	)	PUNCT
ap-1285	139	3	.	.	PUNCT
ap-1285	140	1	if	if	SCONJ
ap-1285	140	2	mi	mi	PROPN
ap-1285	140	3	denotes	denote	VERB
ap-1285	140	4	a	a	DET
ap-1285	140	5	number	number	NOUN
ap-1285	140	6	of	of	ADP
ap-1285	140	7	clusters	cluster	NOUN
ap-1285	140	8	of	of	ADP
ap-1285	140	9	the	the	DET
ap-1285	140	10	i	i	PROPN
ap-1285	140	11	-	-	PUNCT
ap-1285	140	12	th	th	VERB
ap-1285	140	13	type	type	NOUN
ap-1285	140	14	(	(	PUNCT
ap-1285	140	15	either	either	CCONJ
ap-1285	140	16	fractal	fractal	ADJ
ap-1285	140	17	or	or	CCONJ
ap-1285	140	18	non	non	ADJ
ap-1285	140	19	-	-	ADJ
ap-1285	140	20	fractal	fractal	ADJ
ap-1285	140	21	)	)	PUNCT
ap-1285	140	22	,	,	PUNCT
ap-1285	140	23	the	the	DET
ap-1285	140	24	porosity	porosity	NOUN
ap-1285	140	25	p	p	NOUN
ap-1285	140	26	can	can	AUX
ap-1285	140	27	be	be	AUX
ap-1285	140	28	derived	derive	VERB
ap-1285	140	29	by	by	ADP
ap-1285	140	30	analogy	analogy	NOUN
ap-1285	140	31	with	with	ADP
ap-1285	140	32	eq	eq	NOUN
ap-1285	140	33	.	.	PUNCT
ap-1285	141	1	(	(	PUNCT
ap-1285	141	2	2	2	X
ap-1285	141	3	)	)	PUNCT
ap-1285	141	4	p	p	NOUN
ap-1285	141	5	=	=	X
ap-1285	141	6	v	v	ADP
ap-1285	141	7	−	−	PROPN
ap-1285	141	8	∑n	∑n	PROPN
ap-1285	141	9	i=0mi	i=0mi	ADJ
ap-1285	141	10	·	·	PUNCT
ap-1285	141	11	ni	ni	PROPN
ap-1285	141	12	·	·	SYM
ap-1285	141	13	vi	vi	PROPN
ap-1285	142	1	v	v	NOUN
ap-1285	142	2	=	=	SYM
ap-1285	142	3	λ3	λ3	PROPN
ap-1285	142	4	−	−	PROPN
ap-1285	142	5	∑n	∑n	NOUN
ap-1285	142	6	i=0mi	i=0mi	X
ap-1285	142	7	·	·	PUNCT
ap-1285	142	8	(	(	PUNCT
ap-1285	142	9	li	li	PROPN
ap-1285	142	10	li	li	PROPN
ap-1285	142	11	)	)	PUNCT
ap-1285	142	12	di	di	PROPN
ap-1285	142	13	·	·	PUNCT
ap-1285	142	14	l3i	l3i	ADJ
ap-1285	143	1	λ3	λ3	PROPN
ap-1285	143	2	=	=	SYM
ap-1285	143	3	1−	1−	NUM
ap-1285	143	4	n∑	n∑	PROPN
ap-1285	143	5	i=0	i=0	PROPN
ap-1285	143	6	mi	mi	X
ap-1285	143	7	·	·	PUNCT
ap-1285	143	8	(	(	PUNCT
ap-1285	143	9	li	li	PROPN
ap-1285	143	10	li	li	PROPN
ap-1285	143	11	)	)	PUNCT
ap-1285	143	12	di	di	PROPN
ap-1285	143	13	·	·	PUNCT
ap-1285	143	14	l3i	l3i	ADJ
ap-1285	143	15	λ3	λ3	PROPN
ap-1285	143	16	=	=	SYM
ap-1285	143	17	(	(	PUNCT
ap-1285	143	18	16	16	NUM
ap-1285	143	19	)	)	PUNCT
ap-1285	143	20	1−	1−	NUM
ap-1285	143	21	n∑	n∑	PROPN
ap-1285	143	22	i=0	i=0	PROPN
ap-1285	143	23	(	(	PUNCT
ap-1285	143	24	mil	mil	NOUN
ap-1285	143	25	3	3	NUM
ap-1285	143	26	i	i	NOUN
ap-1285	143	27	λ3	λ3	PROPN
ap-1285	143	28	)	)	PUNCT
ap-1285	143	29	·	·	PUNCT
ap-1285	143	30	(	(	PUNCT
ap-1285	143	31	li	li	PROPN
ap-1285	143	32	li	li	PROPN
ap-1285	143	33	)	)	PUNCT
ap-1285	143	34	3−di	3−di	PROPN
ap-1285	143	35	=	=	SYM
ap-1285	143	36	1−	1−	NUM
ap-1285	143	37	n∑	n∑	NOUN
ap-1285	143	38	i=0	i=0	PROPN
ap-1285	143	39	ξi	ξi	NOUN
ap-1285	143	40	·	·	PUNCT
ap-1285	143	41	(	(	PUNCT
ap-1285	143	42	li	li	PROPN
ap-1285	143	43	li	li	PROPN
ap-1285	143	44	)	)	PUNCT
ap-1285	143	45	3−di	3−di	PROPN
ap-1285	143	46	where	where	SCONJ
ap-1285	143	47	ξi	ξi	NOUN
ap-1285	143	48	=	=	SYM
ap-1285	143	49	mil	mil	NOUN
ap-1285	143	50	3	3	NUM
ap-1285	143	51	i	i	NOUN
ap-1285	143	52	/λ	/λ	PUNCT
ap-1285	144	1	3	3	NUM
ap-1285	144	2	.	.	PUNCT
ap-1285	145	1	eq	eq	NOUN
ap-1285	145	2	.	.	PUNCT
ap-1285	146	1	(	(	PUNCT
ap-1285	146	2	16	16	NUM
ap-1285	146	3	)	)	PUNCT
ap-1285	146	4	includes	include	VERB
ap-1285	146	5	all	all	DET
ap-1285	146	6	possibilities	possibility	NOUN
ap-1285	146	7	of	of	ADP
ap-1285	146	8	fractal	fractal	ADJ
ap-1285	146	9	,	,	PUNCT
ap-1285	146	10	non	non	ADJ
ap-1285	146	11	-	-	ADJ
ap-1285	146	12	fractal	fractal	ADJ
ap-1285	146	13	or	or	CCONJ
ap-1285	146	14	mixed	mixed	ADJ
ap-1285	146	15	arrangements	arrangement	NOUN
ap-1285	146	16	.	.	PUNCT
ap-1285	147	1	for	for	ADP
ap-1285	147	2	example	example	NOUN
ap-1285	147	3	,	,	PUNCT
ap-1285	147	4	when	when	SCONJ
ap-1285	147	5	only	only	ADV
ap-1285	147	6	n+1	n+1	NUM
ap-1285	147	7	fractal	fractal	ADJ
ap-1285	147	8	components	component	NOUN
ap-1285	147	9	exist	exist	VERB
ap-1285	147	10	and	and	CCONJ
ap-1285	147	11	are	be	AUX
ap-1285	147	12	delocalized	delocalize	VERB
ap-1285	147	13	over	over	ADP
ap-1285	147	14	the	the	DET
ap-1285	147	15	whole	whole	ADJ
ap-1285	147	16	sample	sample	NOUN
ap-1285	147	17	(	(	PUNCT
ap-1285	147	18	li	li	PROPN
ap-1285	147	19	=	=	SYM
ap-1285	147	20	λ	λ	PROPN
ap-1285	147	21	,	,	PUNCT
ap-1285	147	22	mi	mi	PROPN
ap-1285	147	23	=	=	PROPN
ap-1285	147	24	1	1	NUM
ap-1285	147	25	,	,	PUNCT
ap-1285	147	26	ξi	ξi	NOUN
ap-1285	147	27	=	=	SYM
ap-1285	147	28	1	1	NUM
ap-1285	147	29	)	)	PUNCT
ap-1285	147	30	,	,	PUNCT
ap-1285	147	31	eq	eq	NOUN
ap-1285	147	32	.	.	PUNCT
ap-1285	148	1	(	(	PUNCT
ap-1285	148	2	16	16	NUM
ap-1285	148	3	)	)	PUNCT
ap-1285	148	4	reads	read	VERB
ap-1285	148	5	p	p	NOUN
ap-1285	148	6	=	=	SYM
ap-1285	148	7	1−	1−	NUM
ap-1285	148	8	n∑	n∑	NOUN
ap-1285	148	9	i=0	i=0	PROPN
ap-1285	149	1	(	(	PUNCT
ap-1285	149	2	li	li	PROPN
ap-1285	149	3	li	li	PROPN
ap-1285	149	4	)	)	PUNCT
ap-1285	149	5	3−di	3−di	PROPN
ap-1285	149	6	=	=	SYM
ap-1285	149	7	1−	1−	NUM
ap-1285	149	8	n∑	n∑	NOUN
ap-1285	149	9	i=0	i=0	PROPN
ap-1285	149	10	(	(	PUNCT
ap-1285	149	11	li	li	PROPN
ap-1285	149	12	λ	λ	PROPN
ap-1285	149	13	)	)	PUNCT
ap-1285	149	14	3−di	3−di	PROPN
ap-1285	149	15	(	(	PUNCT
ap-1285	149	16	17	17	NUM
ap-1285	149	17	)	)	PUNCT
ap-1285	149	18	if	if	SCONJ
ap-1285	149	19	there	there	PRON
ap-1285	149	20	are	be	VERB
ap-1285	149	21	only	only	ADV
ap-1285	149	22	n	n	PROPN
ap-1285	149	23	+	+	CCONJ
ap-1285	149	24	1	1	NUM
ap-1285	149	25	non	non	ADJ
ap-1285	149	26	-	-	ADJ
ap-1285	149	27	fractal	fractal	ADJ
ap-1285	149	28	compact	compact	ADJ
ap-1285	149	29	components	component	NOUN
ap-1285	149	30	localized	localize	VERB
ap-1285	149	31	inside	inside	ADP
ap-1285	149	32	the	the	DET
ap-1285	149	33	sample	sample	NOUN
ap-1285	149	34	(	(	PUNCT
ap-1285	149	35	li	li	X
ap-1285	149	36	<	<	X
ap-1285	149	37	λ	λ	PROPN
ap-1285	149	38	)	)	PUNCT
ap-1285	149	39	,	,	PUNCT
ap-1285	149	40	then	then	ADV
ap-1285	149	41	porosity	porosity	NOUN
ap-1285	149	42	assumes	assume	VERB
ap-1285	149	43	a	a	DET
ap-1285	149	44	common	common	ADJ
ap-1285	149	45	‘	'	PUNCT
ap-1285	149	46	non	non	ADJ
ap-1285	149	47	-	-	ADJ
ap-1285	149	48	fractal	fractal	ADJ
ap-1285	149	49	’	'	PUNCT
ap-1285	149	50	form	form	NOUN
ap-1285	149	51	p	p	NOUN
ap-1285	149	52	=	=	SYM
ap-1285	149	53	1−	1−	NUM
ap-1285	149	54	n∑	n∑	NOUN
ap-1285	149	55	i=0	i=0	PROPN
ap-1285	149	56	ξi	ξi	NOUN
ap-1285	149	57	,	,	PUNCT
ap-1285	149	58	ξi	ξi	NOUN
ap-1285	149	59	=	=	SYM
ap-1285	149	60	mil	mil	NOUN
ap-1285	149	61	3	3	NUM
ap-1285	150	1	i	i	NOUN
ap-1285	150	2	λ3	λ3	PROPN
ap-1285	150	3	=	=	NOUN
ap-1285	150	4	vi	vi	PROPN
ap-1285	150	5	v	v	NOUN
ap-1285	150	6	.	.	PUNCT
ap-1285	151	1	(	(	PUNCT
ap-1285	151	2	18	18	NUM
ap-1285	151	3	)	)	PUNCT
ap-1285	151	4	if	if	SCONJ
ap-1285	151	5	fully	fully	ADV
ap-1285	151	6	delocalized	delocalize	VERB
ap-1285	151	7	compact	compact	ADJ
ap-1285	151	8	(	(	PUNCT
ap-1285	151	9	i.e.	i.e.	X
ap-1285	151	10	,	,	PUNCT
ap-1285	151	11	non	non	ADJ
ap-1285	151	12	-	-	ADJ
ap-1285	151	13	fractal	fractal	ADJ
ap-1285	151	14	)	)	PUNCT
ap-1285	151	15	components	component	NOUN
ap-1285	151	16	(	(	PUNCT
ap-1285	151	17	li	li	NOUN
ap-1285	151	18	=	=	SYM
ap-1285	151	19	λ	λ	PROPN
ap-1285	151	20	)	)	PUNCT
ap-1285	151	21	are	be	AUX
ap-1285	151	22	considered	consider	VERB
ap-1285	151	23	,	,	PUNCT
ap-1285	151	24	then	then	ADV
ap-1285	151	25	,	,	PUNCT
ap-1285	151	26	naturally	naturally	ADV
ap-1285	151	27	,	,	PUNCT
ap-1285	151	28	only	only	ADV
ap-1285	151	29	one	one	NUM
ap-1285	151	30	of	of	ADP
ap-1285	151	31	them	they	PRON
ap-1285	151	32	can	can	AUX
ap-1285	151	33	be	be	AUX
ap-1285	151	34	taken	take	VERB
ap-1285	151	35	into	into	ADP
ap-1285	151	36	account	account	NOUN
ap-1285	151	37	since	since	SCONJ
ap-1285	151	38	no	no	PRON
ap-1285	151	39	more	more	ADJ
ap-1285	151	40	than	than	ADP
ap-1285	151	41	a	a	DET
ap-1285	151	42	single	single	ADJ
ap-1285	151	43	fully	fully	ADV
ap-1285	151	44	compact	compact	ADJ
ap-1285	151	45	component	component	NOUN
ap-1285	151	46	can	can	AUX
ap-1285	151	47	fill	fill	VERB
ap-1285	151	48	in	in	ADP
ap-1285	151	49	the	the	DET
ap-1285	151	50	volume	volume	NOUN
ap-1285	151	51	of	of	ADP
ap-1285	151	52	the	the	DET
ap-1285	151	53	sample	sample	NOUN
ap-1285	151	54	,	,	PUNCT
ap-1285	151	55	i.e.	i.e.	X
ap-1285	151	56	do	do	VERB
ap-1285	151	57	=	=	SYM
ap-1285	151	58	3	3	NUM
ap-1285	151	59	,	,	PUNCT
ap-1285	151	60	lo	lo	PROPN
ap-1285	151	61	=	=	SYM
ap-1285	151	62	λ	λ	PROPN
ap-1285	151	63	,	,	PUNCT
ap-1285	151	64	mo	mo	NOUN
ap-1285	151	65	=	=	PROPN
ap-1285	151	66	1	1	NUM
ap-1285	151	67	,	,	PUNCT
ap-1285	151	68	ξo	ξo	NOUN
ap-1285	151	69	=	=	SYM
ap-1285	151	70	1	1	NUM
ap-1285	151	71	,	,	PUNCT
ap-1285	151	72	n	n	NOUN
ap-1285	151	73	=	=	SYM
ap-1285	151	74	0	0	NUM
ap-1285	152	1	p	p	NOUN
ap-1285	152	2	=	=	X
ap-1285	152	3	1−	1−	NUM
ap-1285	152	4	ξo	ξo	NOUN
ap-1285	152	5	=	=	SYM
ap-1285	152	6	0	0	PUNCT
ap-1285	152	7	(	(	PUNCT
ap-1285	152	8	fully	fully	ADV
ap-1285	152	9	compact	compact	ADJ
ap-1285	152	10	body	body	NOUN
ap-1285	152	11	)	)	PUNCT
ap-1285	152	12	.	.	PUNCT
ap-1285	153	1	(	(	PUNCT
ap-1285	153	2	19	19	NUM
ap-1285	153	3	)	)	PUNCT
ap-1285	153	4	finally	finally	ADV
ap-1285	153	5	,	,	PUNCT
ap-1285	153	6	in	in	ADP
ap-1285	153	7	cases	case	NOUN
ap-1285	153	8	when	when	SCONJ
ap-1285	153	9	one	one	NUM
ap-1285	153	10	fractal	fractal	ADJ
ap-1285	153	11	component	component	NOUN
ap-1285	153	12	(	(	PUNCT
ap-1285	153	13	d1	d1	NOUN
ap-1285	153	14	)	)	PUNCT
ap-1285	153	15	and	and	CCONJ
ap-1285	153	16	one	one	NUM
ap-1285	153	17	non	non	ADJ
ap-1285	153	18	-	-	ADJ
ap-1285	153	19	fractal	fractal	ADJ
ap-1285	153	20	component	component	NOUN
ap-1285	153	21	(	(	PUNCT
ap-1285	153	22	compact	compact	ADJ
ap-1285	153	23	do	do	VERB
ap-1285	153	24	=	=	SYM
ap-1285	153	25	3	3	X
ap-1285	153	26	)	)	PUNCT
ap-1285	153	27	are	be	AUX
ap-1285	153	28	present	present	ADJ
ap-1285	153	29	,	,	PUNCT
ap-1285	153	30	either	either	PRON
ap-1285	153	31	of	of	ADP
ap-1285	153	32	them	they	PRON
ap-1285	153	33	localized	localize	VERB
ap-1285	153	34	in	in	ADP
ap-1285	153	35	several	several	ADJ
ap-1285	153	36	sites	site	NOUN
ap-1285	153	37	of	of	ADP
ap-1285	153	38	the	the	DET
ap-1285	153	39	sample	sample	NOUN
ap-1285	153	40	(	(	PUNCT
ap-1285	153	41	m1	m1	PROPN
ap-1285	153	42	–	–	PUNCT
ap-1285	153	43	fractal	fractal	ADJ
ap-1285	153	44	clusters	cluster	NOUN
ap-1285	153	45	,	,	PUNCT
ap-1285	153	46	mo	mo	PROPN
ap-1285	153	47	–	–	PUNCT
ap-1285	153	48	non	non	ADJ
ap-1285	153	49	-	-	ADJ
ap-1285	153	50	fractal	fractal	ADJ
ap-1285	153	51	clusters	cluster	NOUN
ap-1285	153	52	)	)	PUNCT
ap-1285	153	53	,	,	PUNCT
ap-1285	153	54	the	the	DET
ap-1285	153	55	porosity	porosity	NOUN
ap-1285	153	56	can	can	AUX
ap-1285	153	57	be	be	AUX
ap-1285	153	58	expressed	express	VERB
ap-1285	153	59	as	as	SCONJ
ap-1285	153	60	follows	follow	VERB
ap-1285	153	61	p	p	PROPN
ap-1285	153	62	=	=	SYM
ap-1285	153	63	1−	1−	NUM
ap-1285	153	64	ξ1	ξ1	NOUN
ap-1285	153	65	(	(	PUNCT
ap-1285	153	66	l1	l1	PROPN
ap-1285	153	67	l1	l1	PROPN
ap-1285	153	68	)	)	PUNCT
ap-1285	154	1	3−d1	3−d1	NUM
ap-1285	154	2	−	−	NOUN
ap-1285	155	1	ξo	ξo	PROPN
ap-1285	155	2	,	,	PUNCT
ap-1285	155	3	(	(	PUNCT
ap-1285	155	4	20	20	X
ap-1285	155	5	)	)	PUNCT
ap-1285	155	6	ξ1	ξ1	NOUN
ap-1285	155	7	=	=	PUNCT
ap-1285	155	8	m1l	m1l	CCONJ
ap-1285	155	9	3	3	NUM
ap-1285	155	10	1	1	NUM
ap-1285	155	11	λ3	λ3	PROPN
ap-1285	155	12	,	,	PUNCT
ap-1285	155	13	ξ0	ξ0	PROPN
ap-1285	155	14	=	=	PUNCT
ap-1285	155	15	mol	mol	ADP
ap-1285	155	16	3	3	NUM
ap-1285	155	17	o	o	NOUN
ap-1285	155	18	λ3	λ3	PROPN
ap-1285	155	19	.	.	PUNCT
ap-1285	155	20	fig	fig	NOUN
ap-1285	155	21	.	.	PUNCT
ap-1285	156	1	2	2	NUM
ap-1285	156	2	:	:	PUNCT
ap-1285	156	3	a	a	DET
ap-1285	156	4	scheme	scheme	NOUN
ap-1285	156	5	of	of	ADP
ap-1285	156	6	a	a	DET
ap-1285	156	7	porous	porous	ADJ
ap-1285	156	8	composite	composite	ADJ
ap-1285	156	9	material	material	NOUN
ap-1285	156	10	(	(	PUNCT
ap-1285	156	11	3	3	NUM
ap-1285	156	12	components	component	NOUN
ap-1285	156	13	)	)	PUNCT
ap-1285	156	14	3.2	3.2	NUM
ap-1285	156	15	derivation	derivation	NOUN
ap-1285	156	16	of	of	ADP
ap-1285	156	17	compressive	compressive	ADJ
ap-1285	156	18	strength	strength	NOUN
ap-1285	156	19	in	in	ADP
ap-1285	156	20	technical	technical	ADJ
ap-1285	156	21	literature	literature	NOUN
ap-1285	156	22	,	,	PUNCT
ap-1285	156	23	many	many	ADJ
ap-1285	156	24	relations	relation	NOUN
ap-1285	156	25	have	have	AUX
ap-1285	156	26	been	be	AUX
ap-1285	156	27	introduced	introduce	VERB
ap-1285	156	28	by	by	ADP
ap-1285	156	29	various	various	ADJ
ap-1285	156	30	authors	author	NOUN
ap-1285	156	31	.	.	PUNCT
ap-1285	157	1	most	most	ADJ
ap-1285	157	2	of	of	ADP
ap-1285	157	3	these	these	DET
ap-1285	157	4	relations	relation	NOUN
ap-1285	157	5	use	use	VERB
ap-1285	157	6	porosity	porosity	NOUN
ap-1285	157	7	p	p	NOUN
ap-1285	157	8	as	as	ADP
ap-1285	157	9	a	a	DET
ap-1285	157	10	main	main	ADJ
ap-1285	157	11	governing	governing	NOUN
ap-1285	157	12	factor	factor	NOUN
ap-1285	157	13	.	.	PUNCT
ap-1285	158	1	let	let	VERB
ap-1285	158	2	us	we	PRON
ap-1285	158	3	discuss	discuss	VERB
ap-1285	158	4	some	some	DET
ap-1285	158	5	relations	relation	NOUN
ap-1285	158	6	concerning	concern	VERB
ap-1285	158	7	compressive	compressive	ADJ
ap-1285	158	8	strength	strength	NOUN
ap-1285	158	9	.	.	PUNCT
ap-1285	159	1	balshin	balshin	PROPN
ap-1285	159	2	[	[	X
ap-1285	159	3	11	11	NUM
ap-1285	159	4	]	]	PUNCT
ap-1285	159	5	suggested	suggest	VERB
ap-1285	159	6	a	a	DET
ap-1285	159	7	power	power	NOUN
ap-1285	159	8	function	function	NOUN
ap-1285	159	9	σ	σ	NOUN
ap-1285	159	10	=	=	NOUN
ap-1285	159	11	σ∗	σ∗	NOUN
ap-1285	159	12	o(1	o(1	VERB
ap-1285	159	13	−	−	PROPN
ap-1285	159	14	p	p	NOUN
ap-1285	159	15	)	)	PUNCT
ap-1285	159	16	k	k	PROPN
ap-1285	159	17	that	that	PRON
ap-1285	159	18	was	be	AUX
ap-1285	159	19	related	relate	VERB
ap-1285	159	20	to	to	ADP
ap-1285	159	21	porous	porous	ADJ
ap-1285	159	22	metallic	metallic	ADJ
ap-1285	159	23	ceramic	ceramic	ADJ
ap-1285	159	24	materials	material	NOUN
ap-1285	159	25	.	.	PUNCT
ap-1285	160	1	his	his	PRON
ap-1285	160	2	relation	relation	NOUN
ap-1285	160	3	is	be	AUX
ap-1285	160	4	equivalent	equivalent	ADJ
ap-1285	160	5	to	to	ADP
ap-1285	160	6	the	the	DET
ap-1285	160	7	well	well	ADV
ap-1285	160	8	-	-	PUNCT
ap-1285	160	9	known	know	VERB
ap-1285	160	10	expression	expression	NOUN
ap-1285	160	11	of	of	ADP
ap-1285	160	12	powers	power	NOUN
ap-1285	160	13	[	[	X
ap-1285	160	14	21	21	NUM
ap-1285	160	15	]	]	PUNCT
ap-1285	160	16	.	.	PUNCT
ap-1285	161	1	ryshkewitch	ryshkewitch	VERB
ap-1285	162	1	[	[	X
ap-1285	162	2	22	22	NUM
ap-1285	162	3	]	]	PUNCT
ap-1285	162	4	recommended	recommend	VERB
ap-1285	162	5	the	the	DET
ap-1285	162	6	exponential	exponential	ADJ
ap-1285	162	7	function	function	NOUN
ap-1285	162	8	σ	σ	NOUN
ap-1285	162	9	=	=	X
ap-1285	162	10	σ∗	σ∗	PROPN
ap-1285	162	11	o	o	NOUN
ap-1285	162	12	exp(−bp	exp(−bp	NOUN
ap-1285	162	13	)	)	PUNCT
ap-1285	162	14	,	,	PUNCT
ap-1285	162	15	which	which	PRON
ap-1285	162	16	is	be	AUX
ap-1285	162	17	in	in	ADP
ap-1285	162	18	fact	fact	NOUN
ap-1285	162	19	an	an	DET
ap-1285	162	20	asymptotic	asymptotic	ADJ
ap-1285	162	21	form1	form1	NOUN
ap-1285	162	22	(	(	PUNCT
ap-1285	162	23	p	p	NOUN
ap-1285	162	24	→	→	SYM
ap-1285	162	25	0	0	NUM
ap-1285	162	26	)	)	PUNCT
ap-1285	162	27	of	of	ADP
ap-1285	162	28	the	the	DET
ap-1285	162	29	balshin	balshin	NOUN
ap-1285	162	30	power	power	NOUN
ap-1285	162	31	function	function	NOUN
ap-1285	162	32	.	.	PUNCT
ap-1285	163	1	schiller	schiller	NOUN
ap-1285	164	1	[	[	X
ap-1285	164	2	23	23	NUM
ap-1285	164	3	]	]	PUNCT
ap-1285	164	4	presented	present	VERB
ap-1285	164	5	an	an	DET
ap-1285	164	6	expression	expression	NOUN
ap-1285	164	7	similar	similar	ADJ
ap-1285	164	8	to	to	ADP
ap-1285	164	9	that	that	PRON
ap-1285	164	10	of	of	ADP
ap-1285	164	11	balshin	balshin	NOUN
ap-1285	164	12	in	in	ADP
ap-1285	164	13	the	the	DET
ap-1285	164	14	form	form	NOUN
ap-1285	164	15	σ	σ	NOUN
ap-1285	164	16	=	=	X
ap-1285	164	17	σ∗	σ∗	PRON
ap-1285	164	18	o	o	X
ap-1285	165	1	[	[	X
ap-1285	165	2	1	1	NUM
ap-1285	165	3	−	−	PROPN
ap-1285	165	4	(	(	PUNCT
ap-1285	165	5	p	p	X
ap-1285	165	6	/	/	SYM
ap-1285	165	7	pcr)1	pcr)1	VERB
ap-1285	165	8	/	/	SYM
ap-1285	165	9	a	a	PRON
ap-1285	165	10	]	]	X
ap-1285	165	11	,	,	PUNCT
ap-1285	165	12	corrected	correct	VERB
ap-1285	165	13	for	for	ADP
ap-1285	165	14	a	a	DET
ap-1285	165	15	critical	critical	ADJ
ap-1285	165	16	porosity	porosity	NOUN
ap-1285	165	17	pcr	pcr	NOUN
ap-1285	165	18	at	at	ADP
ap-1285	165	19	which	which	PRON
ap-1285	165	20	compressive	compressive	ADJ
ap-1285	165	21	strength	strength	NOUN
ap-1285	165	22	approaches	approach	VERB
ap-1285	165	23	zero	zero	NUM
ap-1285	165	24	.	.	PUNCT
ap-1285	166	1	several	several	ADJ
ap-1285	166	2	other	other	ADJ
ap-1285	166	3	relations	relation	NOUN
ap-1285	166	4	are	be	AUX
ap-1285	166	5	summarized	summarize	VERB
ap-1285	166	6	in	in	ADP
ap-1285	166	7	ref	ref	NOUN
ap-1285	166	8	.	.	PUNCT
ap-1285	167	1	[	[	X
ap-1285	167	2	12	12	NUM
ap-1285	167	3	]	]	PUNCT
ap-1285	167	4	.	.	PUNCT
ap-1285	168	1	1the	1the	PROPN
ap-1285	168	2	balshin	balshin	NOUN
ap-1285	168	3	relation	relation	NOUN
ap-1285	168	4	can	can	AUX
ap-1285	168	5	be	be	AUX
ap-1285	168	6	rewritten	rewrite	VERB
ap-1285	168	7	in	in	ADP
ap-1285	168	8	the	the	DET
ap-1285	168	9	ryshkewitch	ryshkewitch	NOUN
ap-1285	168	10	fomula	fomula	NOUN
ap-1285	168	11	considering	consider	VERB
ap-1285	168	12	(	(	PUNCT
ap-1285	168	13	1	1	NUM
ap-1285	168	14	−	−	PROPN
ap-1285	168	15	p	p	NOUN
ap-1285	168	16	)	)	PUNCT
ap-1285	168	17	k	k	NOUN
ap-1285	169	1	=	=	PUNCT
ap-1285	169	2	exp[k	exp[k	NOUN
ap-1285	169	3	·	·	PUNCT
ap-1285	170	1	ln(1	ln(1	ADP
ap-1285	170	2	−	−	PROPN
ap-1285	170	3	p	p	NOUN
ap-1285	170	4	)	)	PUNCT
ap-1285	170	5	]	]	PUNCT
ap-1285	170	6	and	and	CCONJ
ap-1285	170	7	restricting	restrict	VERB
ap-1285	170	8	to	to	ADP
ap-1285	170	9	the	the	DET
ap-1285	170	10	first	first	ADJ
ap-1285	170	11	term	term	NOUN
ap-1285	170	12	of	of	ADP
ap-1285	170	13	the	the	DET
ap-1285	170	14	taylor	taylor	PROPN
ap-1285	170	15	series	series	NOUN
ap-1285	170	16	of	of	ADP
ap-1285	170	17	the	the	DET
ap-1285	170	18	logarithmic	logarithmic	ADJ
ap-1285	170	19	function	function	NOUN
ap-1285	170	20	.	.	PUNCT
ap-1285	171	1	29	29	NUM
ap-1285	171	2	acta	acta	PROPN
ap-1285	171	3	polytechnica	polytechnica	PROPN
ap-1285	171	4	vol	vol	NOUN
ap-1285	171	5	.	.	PROPN
ap-1285	172	1	50	50	NUM
ap-1285	172	2	no	no	NOUN
ap-1285	172	3	.	.	PUNCT
ap-1285	173	1	6/2010	6/2010	NUM
ap-1285	173	2	there	there	PRON
ap-1285	173	3	are	be	VERB
ap-1285	173	4	two	two	NUM
ap-1285	173	5	important	important	ADJ
ap-1285	173	6	points	point	NOUN
ap-1285	173	7	that	that	PRON
ap-1285	173	8	should	should	AUX
ap-1285	173	9	be	be	AUX
ap-1285	173	10	taken	take	VERB
ap-1285	173	11	into	into	ADP
ap-1285	173	12	account	account	NOUN
ap-1285	173	13	when	when	SCONJ
ap-1285	173	14	dealing	deal	VERB
ap-1285	173	15	with	with	ADP
ap-1285	173	16	the	the	DET
ap-1285	173	17	compressive	compressive	ADJ
ap-1285	173	18	strength	strength	NOUN
ap-1285	173	19	of	of	ADP
ap-1285	173	20	porous	porous	ADJ
ap-1285	173	21	materials	material	NOUN
ap-1285	173	22	,	,	PUNCT
ap-1285	173	23	namely	namely	ADV
ap-1285	173	24	,	,	PUNCT
ap-1285	173	25	the	the	DET
ap-1285	173	26	so	so	ADV
ap-1285	173	27	-	-	PUNCT
ap-1285	173	28	called	call	VERB
ap-1285	173	29	critical	critical	ADJ
ap-1285	173	30	porosity	porosity	NOUN
ap-1285	173	31	pcr	pcr	NOUN
ap-1285	173	32	and	and	CCONJ
ap-1285	173	33	partly	partly	ADV
ap-1285	173	34	incompressible	incompressible	ADJ
ap-1285	173	35	pore	pore	ADJ
ap-1285	173	36	liquids	liquid	NOUN
ap-1285	173	37	.	.	PUNCT
ap-1285	174	1	schiller	schiller	NOUN
ap-1285	175	1	[	[	X
ap-1285	175	2	23	23	NUM
ap-1285	175	3	]	]	PUNCT
ap-1285	175	4	considered	consider	VERB
ap-1285	175	5	the	the	DET
ap-1285	175	6	critical	critical	ADJ
ap-1285	175	7	porosity	porosity	NOUN
ap-1285	175	8	pcr	pcr	NOUN
ap-1285	175	9	as	as	ADP
ap-1285	175	10	a	a	DET
ap-1285	175	11	limiting	limit	VERB
ap-1285	175	12	factor	factor	NOUN
ap-1285	175	13	for	for	ADP
ap-1285	175	14	compressive	compressive	ADJ
ap-1285	175	15	strength	strength	NOUN
ap-1285	175	16	,	,	PUNCT
ap-1285	175	17	i.e.	i.e.	X
ap-1285	175	18	σ(pcr	σ(pcr	NOUN
ap-1285	175	19	)	)	PUNCT
ap-1285	175	20	=	=	SYM
ap-1285	176	1	0	0	X
ap-1285	176	2	.	.	PUNCT
ap-1285	177	1	but	but	CCONJ
ap-1285	177	2	the	the	DET
ap-1285	177	3	limit	limit	NOUN
ap-1285	177	4	may	may	AUX
ap-1285	177	5	also	also	ADV
ap-1285	177	6	be	be	AUX
ap-1285	177	7	somewhat	somewhat	ADV
ap-1285	177	8	influenced	influence	VERB
ap-1285	177	9	by	by	ADP
ap-1285	177	10	the	the	DET
ap-1285	177	11	virtual	virtual	ADJ
ap-1285	177	12	incompressibility	incompressibility	NOUN
ap-1285	177	13	of	of	ADP
ap-1285	177	14	porous	porous	ADJ
ap-1285	177	15	liquids	liquid	NOUN
ap-1285	177	16	.	.	PUNCT
ap-1285	178	1	liquids	liquid	NOUN
ap-1285	178	2	are	be	AUX
ap-1285	178	3	displaced	displace	VERB
ap-1285	178	4	in	in	ADP
ap-1285	178	5	the	the	DET
ap-1285	178	6	porous	porous	ADJ
ap-1285	178	7	network	network	NOUN
ap-1285	178	8	under	under	ADP
ap-1285	178	9	the	the	DET
ap-1285	178	10	action	action	NOUN
ap-1285	178	11	of	of	ADP
ap-1285	178	12	an	an	DET
ap-1285	178	13	imposed	impose	VERB
ap-1285	178	14	external	external	ADJ
ap-1285	178	15	mechanical	mechanical	ADJ
ap-1285	178	16	load	load	NOUN
ap-1285	178	17	,	,	PUNCT
ap-1285	178	18	but	but	CCONJ
ap-1285	178	19	narrow	narrow	ADJ
ap-1285	178	20	pores	pore	NOUN
ap-1285	178	21	hinder	hinder	VERB
ap-1285	178	22	the	the	DET
ap-1285	178	23	liquid	liquid	ADJ
ap-1285	178	24	movement	movement	NOUN
ap-1285	178	25	[	[	X
ap-1285	178	26	24	24	NUM
ap-1285	178	27	]	]	PUNCT
ap-1285	178	28	and	and	CCONJ
ap-1285	178	29	due	due	ADP
ap-1285	178	30	to	to	ADP
ap-1285	178	31	the	the	DET
ap-1285	178	32	virtual	virtual	ADJ
ap-1285	178	33	incompressibility	incompressibility	NOUN
ap-1285	178	34	of	of	ADP
ap-1285	178	35	the	the	DET
ap-1285	178	36	liquid	liquid	NOUN
ap-1285	178	37	the	the	DET
ap-1285	178	38	strength	strength	NOUN
ap-1285	178	39	of	of	ADP
ap-1285	178	40	the	the	DET
ap-1285	178	41	structure	structure	NOUN
ap-1285	178	42	may	may	AUX
ap-1285	178	43	be	be	AUX
ap-1285	178	44	somewhat	somewhat	ADV
ap-1285	178	45	modified	modify	VERB
ap-1285	178	46	.	.	PUNCT
ap-1285	179	1	it	it	PRON
ap-1285	179	2	is	be	AUX
ap-1285	179	3	natural	natural	ADJ
ap-1285	179	4	that	that	SCONJ
ap-1285	179	5	this	this	DET
ap-1285	179	6	effect	effect	NOUN
ap-1285	179	7	concerns	concern	VERB
ap-1285	179	8	especially	especially	ADV
ap-1285	179	9	quite	quite	ADV
ap-1285	179	10	narrow	narrow	ADJ
ap-1285	179	11	pores	pore	NOUN
ap-1285	179	12	,	,	PUNCT
ap-1285	179	13	and	and	CCONJ
ap-1285	179	14	with	with	ADP
ap-1285	179	15	their	their	PRON
ap-1285	179	16	increasing	increase	VERB
ap-1285	179	17	diameters	diameter	NOUN
ap-1285	179	18	this	this	DET
ap-1285	179	19	effect	effect	NOUN
ap-1285	179	20	weakens	weaken	VERB
ap-1285	179	21	.	.	PUNCT
ap-1285	180	1	however	however	ADV
ap-1285	180	2	,	,	PUNCT
ap-1285	180	3	let	let	VERB
ap-1285	180	4	us	we	PRON
ap-1285	180	5	term	term	VERB
ap-1285	180	6	the	the	DET
ap-1285	180	7	modified	modify	VERB
ap-1285	180	8	strength	strength	NOUN
ap-1285	180	9	as	as	ADP
ap-1285	180	10	the	the	DET
ap-1285	180	11	remaining	remain	VERB
ap-1285	180	12	strength	strength	NOUN
ap-1285	180	13	so	so	ADV
ap-1285	180	14	.	.	PUNCT
ap-1285	181	1	now	now	ADV
ap-1285	181	2	it	it	PRON
ap-1285	181	3	is	be	AUX
ap-1285	181	4	clear	clear	ADJ
ap-1285	181	5	that	that	SCONJ
ap-1285	181	6	pcr	pcr	PROPN
ap-1285	182	1	and	and	CCONJ
ap-1285	182	2	so	so	ADV
ap-1285	182	3	should	should	AUX
ap-1285	182	4	be	be	AUX
ap-1285	182	5	correlated	correlate	VERB
ap-1285	182	6	to	to	PART
ap-1285	182	7	fulfill	fulfill	VERB
ap-1285	182	8	the	the	DET
ap-1285	182	9	condition	condition	NOUN
ap-1285	182	10	σ(pcr	σ(pcr	NOUN
ap-1285	182	11	)	)	PUNCT
ap-1285	183	1	=	=	PUNCT
ap-1285	183	2	so	so	ADV
ap-1285	183	3	.	.	PUNCT
ap-1285	184	1	taking	take	VERB
ap-1285	184	2	the	the	DET
ap-1285	184	3	balshin	balshin	NOUN
ap-1285	184	4	relation	relation	NOUN
ap-1285	184	5	σ	σ	NOUN
ap-1285	184	6	=	=	NOUN
ap-1285	184	7	σ∗	σ∗	NOUN
ap-1285	184	8	o(1	o(1	VERB
ap-1285	184	9	−	−	PROPN
ap-1285	184	10	p	p	NOUN
ap-1285	184	11	)	)	PUNCT
ap-1285	184	12	k	k	PROPN
ap-1285	184	13	as	as	ADP
ap-1285	184	14	a	a	DET
ap-1285	184	15	good	good	ADJ
ap-1285	184	16	starting	starting	NOUN
ap-1285	184	17	point	point	NOUN
ap-1285	184	18	,	,	PUNCT
ap-1285	184	19	his	his	PRON
ap-1285	184	20	form	form	NOUN
ap-1285	184	21	may	may	AUX
ap-1285	184	22	be	be	AUX
ap-1285	184	23	generalized	generalize	VERB
ap-1285	184	24	by	by	ADP
ap-1285	184	25	taking	take	VERB
ap-1285	184	26	into	into	ADP
ap-1285	184	27	account	account	NOUN
ap-1285	184	28	pcr	pcr	NOUN
ap-1285	184	29	and	and	CCONJ
ap-1285	184	30	so	so	ADV
ap-1285	184	31	,	,	PUNCT
ap-1285	184	32	as	as	SCONJ
ap-1285	184	33	follows	follow	VERB
ap-1285	184	34	σ	σ	NOUN
ap-1285	184	35	=	=	NOUN
ap-1285	184	36	σ∗	σ∗	NOUN
ap-1285	184	37	o(1	o(1	NOUN
ap-1285	184	38	−	−	PROPN
ap-1285	184	39	p	p	NOUN
ap-1285	184	40	pcr	pcr	NOUN
ap-1285	184	41	)	)	PUNCT
ap-1285	185	1	k	k	PROPN
ap-1285	186	1	+	+	CCONJ
ap-1285	186	2	so	so	ADV
ap-1285	186	3	,	,	PUNCT
ap-1285	186	4	σ(pcr	σ(pcr	PROPN
ap-1285	186	5	)	)	PUNCT
ap-1285	186	6	=	=	PUNCT
ap-1285	187	1	so	so	ADV
ap-1285	187	2	.	.	PUNCT
ap-1285	188	1	(	(	PUNCT
ap-1285	188	2	21	21	NUM
ap-1285	188	3	)	)	PUNCT
ap-1285	188	4	now	now	ADV
ap-1285	188	5	the	the	DET
ap-1285	188	6	critical	critical	ADJ
ap-1285	188	7	porosity	porosity	NOUN
ap-1285	188	8	pcr	pcr	NOUN
ap-1285	188	9	does	do	AUX
ap-1285	188	10	not	not	PART
ap-1285	188	11	represent	represent	VERB
ap-1285	188	12	the	the	DET
ap-1285	188	13	absolute	absolute	ADJ
ap-1285	188	14	limit	limit	NOUN
ap-1285	188	15	of	of	ADP
ap-1285	188	16	strength	strength	NOUN
ap-1285	188	17	but	but	CCONJ
ap-1285	188	18	it	it	PRON
ap-1285	188	19	only	only	ADV
ap-1285	188	20	defines	define	VERB
ap-1285	188	21	a	a	DET
ap-1285	188	22	limit	limit	NOUN
ap-1285	188	23	at	at	ADP
ap-1285	188	24	which	which	PRON
ap-1285	188	25	the	the	DET
ap-1285	188	26	influence	influence	NOUN
ap-1285	188	27	of	of	ADP
ap-1285	188	28	incompressible	incompressible	ADJ
ap-1285	188	29	liquids	liquid	NOUN
ap-1285	188	30	begins	begin	VERB
ap-1285	188	31	to	to	PART
ap-1285	188	32	play	play	VERB
ap-1285	188	33	a	a	DET
ap-1285	188	34	role	role	NOUN
ap-1285	188	35	.	.	PUNCT
ap-1285	189	1	3.3	3.3	NUM
ap-1285	189	2	universal	universal	ADJ
ap-1285	189	3	exponent	exponent	NOUN
ap-1285	189	4	of	of	ADP
ap-1285	189	5	fracture	fracture	PROPN
ap-1285	189	6	surfaces	surface	NOUN
ap-1285	189	7	it	it	PRON
ap-1285	189	8	is	be	AUX
ap-1285	189	9	important	important	ADJ
ap-1285	189	10	to	to	PART
ap-1285	189	11	realize	realize	VERB
ap-1285	189	12	that	that	SCONJ
ap-1285	189	13	the	the	DET
ap-1285	189	14	fractality	fractality	NOUN
ap-1285	189	15	of	of	ADP
ap-1285	189	16	porous	porous	ADJ
ap-1285	189	17	materials	material	NOUN
ap-1285	189	18	is	be	AUX
ap-1285	189	19	determined	determine	VERB
ap-1285	189	20	by	by	ADP
ap-1285	189	21	their	their	PRON
ap-1285	189	22	solid	solid	ADJ
ap-1285	189	23	skeleton	skeleton	NOUN
ap-1285	189	24	and	and	CCONJ
ap-1285	189	25	not	not	PART
ap-1285	189	26	by	by	ADP
ap-1285	189	27	their	their	PRON
ap-1285	189	28	pores	pore	NOUN
ap-1285	189	29	,	,	PUNCT
ap-1285	189	30	which	which	PRON
ap-1285	189	31	are	be	AUX
ap-1285	189	32	a	a	DET
ap-1285	189	33	consequence	consequence	NOUN
ap-1285	189	34	of	of	ADP
ap-1285	189	35	the	the	DET
ap-1285	189	36	volume	volume	NOUN
ap-1285	189	37	arrangement	arrangement	NOUN
ap-1285	189	38	of	of	ADP
ap-1285	189	39	material	material	NOUN
ap-1285	189	40	components	component	NOUN
ap-1285	189	41	possessing	possess	VERB
ap-1285	189	42	dimensions	dimension	NOUN
ap-1285	189	43	{	{	PUNCT
ap-1285	189	44	di	di	NOUN
ap-1285	189	45	}	}	PUNCT
ap-1285	189	46	.	.	PUNCT
ap-1285	190	1	as	as	ADV
ap-1285	190	2	soon	soon	ADV
ap-1285	190	3	as	as	SCONJ
ap-1285	190	4	the	the	DET
ap-1285	190	5	volume	volume	NOUN
ap-1285	190	6	structure	structure	NOUN
ap-1285	190	7	is	be	AUX
ap-1285	190	8	broken	break	VERB
ap-1285	190	9	and	and	CCONJ
ap-1285	190	10	a	a	DET
ap-1285	190	11	fracture	fracture	NOUN
ap-1285	190	12	surface	surface	NOUN
ap-1285	190	13	appears	appear	VERB
ap-1285	190	14	,	,	PUNCT
ap-1285	190	15	a	a	DET
ap-1285	190	16	new	new	ADJ
ap-1285	190	17	topological	topological	ADJ
ap-1285	190	18	situation	situation	NOUN
ap-1285	190	19	occurs	occur	VERB
ap-1285	190	20	.	.	PUNCT
ap-1285	191	1	the	the	DET
ap-1285	191	2	volume	volume	NOUN
ap-1285	191	3	components	component	NOUN
ap-1285	191	4	{	{	PUNCT
ap-1285	191	5	di	di	NOUN
ap-1285	191	6	}	}	PUNCT
ap-1285	191	7	create	create	VERB
ap-1285	191	8	surface	surface	NOUN
ap-1285	191	9	patterns	pattern	NOUN
ap-1285	191	10	{	{	PUNCT
ap-1285	191	11	d∗	d∗	PROPN
ap-1285	191	12	i	i	PRON
ap-1285	191	13	}	}	PUNCT
ap-1285	191	14	with	with	ADP
ap-1285	191	15	lower	low	ADJ
ap-1285	191	16	dimensions	dimension	NOUN
ap-1285	191	17	d∗	d∗	NOUN
ap-1285	192	1	i	i	PRON
ap-1285	192	2	<	<	X
ap-1285	192	3	di	di	X
ap-1285	192	4	.	.	PUNCT
ap-1285	193	1	the	the	DET
ap-1285	193	2	decrease	decrease	NOUN
ap-1285	193	3	of	of	ADP
ap-1285	193	4	the	the	DET
ap-1285	193	5	dimensions	dimension	NOUN
ap-1285	193	6	{	{	PUNCT
ap-1285	193	7	di	di	NOUN
ap-1285	193	8	}	}	PUNCT
ap-1285	193	9	can	can	AUX
ap-1285	193	10	easily	easily	ADV
ap-1285	193	11	be	be	AUX
ap-1285	193	12	found	find	VERB
ap-1285	193	13	when	when	SCONJ
ap-1285	193	14	the	the	DET
ap-1285	193	15	fracture	fracture	PROPN
ap-1285	193	16	surface	surface	NOUN
ap-1285	193	17	is	be	AUX
ap-1285	193	18	a	a	DET
ap-1285	193	19	plane	plane	NOUN
ap-1285	193	20	(	(	PUNCT
ap-1285	193	21	intersection	intersection	NOUN
ap-1285	193	22	of	of	ADP
ap-1285	193	23	the	the	DET
ap-1285	193	24	euclidean	euclidean	ADJ
ap-1285	193	25	plane	plane	NOUN
ap-1285	193	26	and	and	CCONJ
ap-1285	193	27	the	the	DET
ap-1285	193	28	volume	volume	NOUN
ap-1285	193	29	fractal	fractal	ADJ
ap-1285	193	30	component	component	NOUN
ap-1285	193	31	)	)	PUNCT
ap-1285	193	32	.	.	PUNCT
ap-1285	194	1	in	in	ADP
ap-1285	194	2	this	this	DET
ap-1285	194	3	case	case	NOUN
ap-1285	194	4	d∗	d∗	VERB
ap-1285	194	5	i	i	PRON
ap-1285	194	6	=	=	SYM
ap-1285	194	7	di	di	NOUN
ap-1285	194	8	−	−	NOUN
ap-1285	194	9	1	1	NUM
ap-1285	194	10	,	,	PUNCT
ap-1285	194	11	as	as	SCONJ
ap-1285	194	12	is	be	AUX
ap-1285	194	13	well	well	ADV
ap-1285	194	14	-	-	PUNCT
ap-1285	194	15	known	know	VERB
ap-1285	194	16	.	.	PUNCT
ap-1285	195	1	in	in	ADP
ap-1285	195	2	general	general	ADJ
ap-1285	195	3	,	,	PUNCT
ap-1285	195	4	the	the	DET
ap-1285	195	5	value	value	NOUN
ap-1285	195	6	of	of	ADP
ap-1285	195	7	the	the	DET
ap-1285	195	8	dimensional	dimensional	ADJ
ap-1285	195	9	shift	shift	NOUN
ap-1285	195	10	of	of	ADP
ap-1285	195	11	a	a	DET
ap-1285	195	12	fractal	fractal	NOUN
ap-1285	195	13	that	that	PRON
ap-1285	195	14	has	have	AUX
ap-1285	195	15	originally	originally	ADV
ap-1285	195	16	been	be	AUX
ap-1285	195	17	embedded	embed	VERB
ap-1285	195	18	in	in	ADP
ap-1285	195	19	the	the	DET
ap-1285	195	20	euclidean	euclidean	ADJ
ap-1285	195	21	space	space	NOUN
ap-1285	195	22	(	(	PUNCT
ap-1285	195	23	e	e	NOUN
ap-1285	195	24	)	)	PUNCT
ap-1285	195	25	and	and	CCONJ
ap-1285	195	26	then	then	ADV
ap-1285	195	27	projected	project	VERB
ap-1285	195	28	onto	onto	ADP
ap-1285	195	29	a	a	DET
ap-1285	195	30	subspace	subspace	NOUN
ap-1285	195	31	(	(	PUNCT
ap-1285	195	32	s	s	X
ap-1285	195	33	<	<	X
ap-1285	195	34	e	e	NOUN
ap-1285	195	35	)	)	PUNCT
ap-1285	195	36	is	be	AUX
ap-1285	195	37	called	call	VERB
ap-1285	195	38	the	the	DET
ap-1285	195	39	co	co	NOUN
ap-1285	195	40	-	-	NOUN
ap-1285	195	41	dimension	dimension	ADJ
ap-1285	195	42	(	(	PUNCT
ap-1285	195	43	e−s	e−s	NOUN
ap-1285	195	44	)	)	PUNCT
ap-1285	195	45	.	.	PUNCT
ap-1285	196	1	when	when	SCONJ
ap-1285	196	2	the	the	DET
ap-1285	196	3	original	original	ADJ
ap-1285	196	4	space	space	NOUN
ap-1285	196	5	is	be	AUX
ap-1285	196	6	three	three	NUM
ap-1285	196	7	-	-	PUNCT
ap-1285	196	8	dimensional	dimensional	ADJ
ap-1285	196	9	(	(	PUNCT
ap-1285	196	10	e	e	NOUN
ap-1285	196	11	=	=	SYM
ap-1285	196	12	3	3	NUM
ap-1285	196	13	)	)	PUNCT
ap-1285	196	14	and	and	CCONJ
ap-1285	196	15	the	the	DET
ap-1285	196	16	subspace	subspace	NOUN
ap-1285	196	17	two	two	NUM
ap-1285	196	18	dimensional	dimensional	ADJ
ap-1285	196	19	(	(	PUNCT
ap-1285	196	20	s	s	NOUN
ap-1285	196	21	=	=	SYM
ap-1285	196	22	2	2	NUM
ap-1285	196	23	)	)	PUNCT
ap-1285	196	24	,	,	PUNCT
ap-1285	196	25	the	the	DET
ap-1285	196	26	co	co	NOUN
ap-1285	196	27	-	-	NOUN
ap-1285	196	28	dimension	dimension	NOUN
ap-1285	196	29	is	be	AUX
ap-1285	196	30	one	one	NUM
ap-1285	196	31	(	(	PUNCT
ap-1285	196	32	e	e	X
ap-1285	196	33	−	−	PROPN
ap-1285	196	34	s	s	PART
ap-1285	196	35	=	=	NOUN
ap-1285	196	36	1	1	NUM
ap-1285	196	37	)	)	PUNCT
ap-1285	196	38	,	,	PUNCT
ap-1285	196	39	as	as	ADP
ap-1285	196	40	in	in	ADP
ap-1285	196	41	the	the	DET
ap-1285	196	42	case	case	NOUN
ap-1285	196	43	of	of	ADP
ap-1285	196	44	intersection	intersection	NOUN
ap-1285	196	45	of	of	ADP
ap-1285	196	46	the	the	DET
ap-1285	196	47	euclidean	euclidean	ADJ
ap-1285	196	48	plane	plane	NOUN
ap-1285	196	49	with	with	ADP
ap-1285	196	50	a	a	DET
ap-1285	196	51	volume	volume	NOUN
ap-1285	196	52	fractal	fractal	NOUN
ap-1285	196	53	.	.	PUNCT
ap-1285	197	1	however	however	ADV
ap-1285	197	2	,	,	PUNCT
ap-1285	197	3	fracture	fracture	NOUN
ap-1285	197	4	surfaces	surface	NOUN
ap-1285	197	5	are	be	AUX
ap-1285	197	6	not	not	PART
ap-1285	197	7	smooth	smooth	ADJ
ap-1285	197	8	euclidean	euclidean	ADJ
ap-1285	197	9	planes	plane	NOUN
ap-1285	197	10	but	but	CCONJ
ap-1285	197	11	rather	rather	ADV
ap-1285	197	12	irregular	irregular	ADJ
ap-1285	197	13	wavy	wavy	ADJ
ap-1285	197	14	surfaces	surface	NOUN
ap-1285	197	15	.	.	PUNCT
ap-1285	198	1	let	let	VERB
ap-1285	198	2	us	we	PRON
ap-1285	198	3	consider	consider	VERB
ap-1285	198	4	the	the	DET
ap-1285	198	5	simplest	simple	ADJ
ap-1285	198	6	case	case	NOUN
ap-1285	198	7	of	of	ADP
ap-1285	198	8	fracture	fracture	NOUN
ap-1285	198	9	of	of	ADP
ap-1285	198	10	a	a	DET
ap-1285	198	11	nonporous	nonporous	ADJ
ap-1285	198	12	fully	fully	ADV
ap-1285	198	13	compact	compact	ADJ
ap-1285	198	14	solid	solid	ADJ
ap-1285	198	15	,	,	PUNCT
ap-1285	198	16	e.g.	e.g.	ADV
ap-1285	198	17	a	a	DET
ap-1285	198	18	pure	pure	ADJ
ap-1285	198	19	metal	metal	NOUN
ap-1285	198	20	.	.	PUNCT
ap-1285	199	1	such	such	DET
ap-1285	199	2	a	a	DET
ap-1285	199	3	solid	solid	NOUN
ap-1285	199	4	has	have	VERB
ap-1285	199	5	no	no	DET
ap-1285	199	6	fractal	fractal	ADJ
ap-1285	199	7	volume	volume	NOUN
ap-1285	199	8	component	component	NOUN
ap-1285	199	9	,	,	PUNCT
ap-1285	199	10	but	but	CCONJ
ap-1285	199	11	its	its	PRON
ap-1285	199	12	fracture	fracture	NOUN
ap-1285	199	13	surface	surface	NOUN
ap-1285	199	14	is	be	AUX
ap-1285	199	15	fractal	fractal	ADJ
ap-1285	199	16	(	(	PUNCT
ap-1285	199	17	2	2	NUM
ap-1285	199	18	<	<	NOUN
ap-1285	199	19	d∗	d∗	NOUN
ap-1285	199	20	o	o	X
ap-1285	199	21	<	<	X
ap-1285	199	22	3	3	NUM
ap-1285	199	23	)	)	PUNCT
ap-1285	199	24	,	,	PUNCT
ap-1285	199	25	as	as	SCONJ
ap-1285	199	26	has	have	AUX
ap-1285	199	27	been	be	AUX
ap-1285	199	28	shown	show	VERB
ap-1285	199	29	elsewhere	elsewhere	ADV
ap-1285	199	30	[	[	X
ap-1285	199	31	25	25	NUM
ap-1285	199	32	]	]	PUNCT
ap-1285	199	33	.	.	PUNCT
ap-1285	200	1	on	on	ADP
ap-1285	200	2	the	the	DET
ap-1285	200	3	other	other	ADJ
ap-1285	200	4	hand	hand	NOUN
ap-1285	200	5	,	,	PUNCT
ap-1285	200	6	when	when	SCONJ
ap-1285	200	7	a	a	DET
ap-1285	200	8	solid	solid	ADJ
ap-1285	200	9	consisting	consisting	NOUN
ap-1285	200	10	of	of	ADP
ap-1285	200	11	one	one	NUM
ap-1285	200	12	delocalized	delocalize	VERB
ap-1285	200	13	fractal	fractal	ADJ
ap-1285	200	14	component	component	NOUN
ap-1285	200	15	(	(	PUNCT
ap-1285	200	16	d	d	NOUN
ap-1285	200	17	)	)	PUNCT
ap-1285	200	18	is	be	AUX
ap-1285	200	19	broken	break	VERB
ap-1285	200	20	,	,	PUNCT
ap-1285	200	21	the	the	DET
ap-1285	200	22	dimension	dimension	NOUN
ap-1285	200	23	d∗	d∗	NOUN
ap-1285	200	24	of	of	ADP
ap-1285	200	25	the	the	DET
ap-1285	200	26	corresponding	corresponding	ADJ
ap-1285	200	27	fracture	fracture	PROPN
ap-1285	200	28	surface	surface	NOUN
ap-1285	200	29	is	be	AUX
ap-1285	200	30	equal	equal	ADJ
ap-1285	200	31	to	to	ADP
ap-1285	200	32	the	the	DET
ap-1285	200	33	dimension	dimension	NOUN
ap-1285	200	34	d∗	d∗	NOUN
ap-1285	200	35	of	of	ADP
ap-1285	200	36	the	the	DET
ap-1285	200	37	fractal	fractal	ADJ
ap-1285	200	38	projection	projection	NOUN
ap-1285	200	39	onto	onto	ADP
ap-1285	200	40	an	an	DET
ap-1285	200	41	‘	'	PUNCT
ap-1285	200	42	imaginary	imaginary	ADJ
ap-1285	200	43	’	'	PUNCT
ap-1285	200	44	subspace	subspace	NOUN
ap-1285	200	45	s	s	NOUN
ap-1285	200	46	,	,	PUNCT
ap-1285	200	47	i.e.	i.e.	X
ap-1285	200	48	d∗	d∗	PROPN
ap-1285	201	1	=	=	SYM
ap-1285	201	2	d	d	NOUN
ap-1285	201	3	−	−	PROPN
ap-1285	201	4	(	(	PUNCT
ap-1285	201	5	3	3	NUM
ap-1285	201	6	−	−	PROPN
ap-1285	201	7	s	s	NOUN
ap-1285	201	8	)	)	PUNCT
ap-1285	201	9	.	.	PUNCT
ap-1285	202	1	the	the	DET
ap-1285	202	2	dimension	dimension	NOUN
ap-1285	202	3	s	s	X
ap-1285	202	4	of	of	ADP
ap-1285	202	5	the	the	DET
ap-1285	202	6	subspace	subspace	NOUN
ap-1285	202	7	can	can	AUX
ap-1285	202	8	be	be	AUX
ap-1285	202	9	calculated	calculate	VERB
ap-1285	202	10	from	from	ADP
ap-1285	202	11	the	the	DET
ap-1285	202	12	dimensions	dimension	NOUN
ap-1285	202	13	of	of	ADP
ap-1285	202	14	the	the	DET
ap-1285	202	15	volume	volume	NOUN
ap-1285	202	16	fractal	fractal	PROPN
ap-1285	202	17	d	d	PROPN
ap-1285	202	18	and	and	CCONJ
ap-1285	202	19	its	its	PRON
ap-1285	202	20	surface	surface	NOUN
ap-1285	202	21	projection	projection	NOUN
ap-1285	202	22	d∗	d∗	PROPN
ap-1285	202	23	,	,	PUNCT
ap-1285	202	24	i.e.	i.e.	X
ap-1285	202	25	s	s	X
ap-1285	202	26	=	=	SYM
ap-1285	202	27	3−	3−	NUM
ap-1285	202	28	(	(	PUNCT
ap-1285	202	29	d	d	NOUN
ap-1285	202	30	−d∗	−d∗	NOUN
ap-1285	202	31	)	)	PUNCT
ap-1285	202	32	,	,	PUNCT
ap-1285	202	33	provided	provide	VERB
ap-1285	202	34	there	there	PRON
ap-1285	202	35	are	be	VERB
ap-1285	202	36	techniques	technique	NOUN
ap-1285	202	37	for	for	ADP
ap-1285	202	38	determining	determine	VERB
ap-1285	202	39	d	d	PROPN
ap-1285	202	40	and	and	CCONJ
ap-1285	202	41	d∗.	d∗.	PROPN
ap-1285	202	42	similarly	similarly	ADV
ap-1285	202	43	,	,	PUNCT
ap-1285	202	44	if	if	SCONJ
ap-1285	202	45	a	a	DET
ap-1285	202	46	solid	solid	NOUN
ap-1285	202	47	is	be	AUX
ap-1285	202	48	composed	compose	VERB
ap-1285	202	49	of	of	ADP
ap-1285	202	50	more	more	ADJ
ap-1285	202	51	than	than	ADP
ap-1285	202	52	one	one	NUM
ap-1285	202	53	fractal	fractal	ADJ
ap-1285	202	54	component	component	NOUN
ap-1285	202	55	{	{	PUNCT
ap-1285	202	56	di	di	NOUN
ap-1285	202	57	}	}	PUNCT
ap-1285	202	58	,	,	PUNCT
ap-1285	202	59	the	the	DET
ap-1285	202	60	dimensions	dimension	NOUN
ap-1285	202	61	of	of	ADP
ap-1285	202	62	their	their	PRON
ap-1285	202	63	surface	surface	NOUN
ap-1285	202	64	projections	projection	NOUN
ap-1285	202	65	{	{	PUNCT
ap-1285	202	66	d∗	d∗	PROPN
ap-1285	202	67	i	i	PRON
ap-1285	202	68	}	}	PUNCT
ap-1285	202	69	are	be	AUX
ap-1285	202	70	given	give	VERB
ap-1285	202	71	as	as	SCONJ
ap-1285	202	72	follows	follow	VERB
ap-1285	202	73	d∗	d∗	PROPN
ap-1285	202	74	i	i	PRON
ap-1285	202	75	=	=	SYM
ap-1285	202	76	di	di	NOUN
ap-1285	203	1	−	−	PROPN
ap-1285	203	2	(	(	PUNCT
ap-1285	203	3	3−	3−	NUM
ap-1285	203	4	s)⇒	s)⇒	NOUN
ap-1285	203	5	3−	3−	NUM
ap-1285	203	6	di	di	X
ap-1285	204	1	=	=	SYM
ap-1285	204	2	s	s	PART
ap-1285	204	3	−	−	PROPN
ap-1285	204	4	d∗	d∗	NOUN
ap-1285	204	5	i	i	PRON
ap-1285	204	6	(	(	PUNCT
ap-1285	204	7	22	22	NUM
ap-1285	204	8	)	)	PUNCT
ap-1285	204	9	this	this	DET
ap-1285	204	10	relation	relation	NOUN
ap-1285	204	11	has	have	AUX
ap-1285	204	12	been	be	AUX
ap-1285	204	13	used	use	VERB
ap-1285	204	14	when	when	SCONJ
ap-1285	204	15	going	go	VERB
ap-1285	204	16	from	from	ADP
ap-1285	204	17	eq	eq	ADP
ap-1285	204	18	.	.	PUNCT
ap-1285	205	1	(	(	PUNCT
ap-1285	205	2	6	6	NUM
ap-1285	205	3	)	)	PUNCT
ap-1285	205	4	to	to	ADP
ap-1285	205	5	eq	eq	NOUN
ap-1285	205	6	.	.	PUNCT
ap-1285	206	1	(	(	PUNCT
ap-1285	206	2	8)	8)	NUM
ap-1285	206	3	,	,	PUNCT
ap-1285	206	4	i.e.	i.e.	X
ap-1285	206	5	from	from	ADP
ap-1285	206	6	volume	volume	NOUN
ap-1285	206	7	fractals	fractal	NOUN
ap-1285	206	8	to	to	ADP
ap-1285	206	9	their	their	PRON
ap-1285	206	10	surface	surface	NOUN
ap-1285	206	11	projections	projection	NOUN
ap-1285	206	12	.	.	PUNCT
ap-1285	207	1	the	the	DET
ap-1285	207	2	dimensions	dimension	NOUN
ap-1285	207	3	of	of	ADP
ap-1285	207	4	surface	surface	NOUN
ap-1285	207	5	projections	projection	NOUN
ap-1285	207	6	d∗	d∗	NOUN
ap-1285	207	7	i	i	PRON
ap-1285	207	8	are	be	AUX
ap-1285	207	9	‘	'	PUNCT
ap-1285	207	10	measurable	measurable	ADJ
ap-1285	207	11	’	'	PUNCT
ap-1285	207	12	e.g.	e.g.	ADV
ap-1285	207	13	using	use	VERB
ap-1285	207	14	the	the	DET
ap-1285	207	15	confocal	confocal	ADJ
ap-1285	207	16	technique	technique	NOUN
ap-1285	207	17	,	,	PUNCT
ap-1285	207	18	if	if	SCONJ
ap-1285	207	19	these	these	DET
ap-1285	207	20	components	component	NOUN
ap-1285	207	21	are	be	AUX
ap-1285	207	22	extended	extend	VERB
ap-1285	207	23	over	over	ADP
ap-1285	207	24	different	different	ADJ
ap-1285	207	25	length	length	NOUN
ap-1285	207	26	scales	scale	NOUN
ap-1285	207	27	and	and	CCONJ
ap-1285	207	28	do	do	AUX
ap-1285	207	29	not	not	PART
ap-1285	207	30	overlap	overlap	VERB
ap-1285	207	31	each	each	DET
ap-1285	207	32	other	other	ADJ
ap-1285	207	33	.	.	PUNCT
ap-1285	208	1	in	in	ADP
ap-1285	208	2	our	our	PRON
ap-1285	208	3	case	case	NOUN
ap-1285	208	4	of	of	ADP
ap-1285	208	5	hydrated	hydrated	ADJ
ap-1285	208	6	cement	cement	NOUN
ap-1285	208	7	paste	paste	NOUN
ap-1285	208	8	there	there	PRON
ap-1285	208	9	is	be	VERB
ap-1285	208	10	one	one	NUM
ap-1285	208	11	fractal	fractal	ADJ
ap-1285	208	12	component	component	NOUN
ap-1285	208	13	(	(	PUNCT
ap-1285	208	14	calcium	calcium	NOUN
ap-1285	208	15	-	-	PUNCT
ap-1285	208	16	silicate	silicate	NOUN
ap-1285	208	17	-	-	PUNCT
ap-1285	208	18	hydrate	hydrate	NOUN
ap-1285	208	19	gel	gel	NOUN
ap-1285	208	20	)	)	PUNCT
ap-1285	208	21	that	that	PRON
ap-1285	208	22	dominates	dominate	VERB
ap-1285	208	23	over	over	ADP
ap-1285	208	24	the	the	DET
ap-1285	208	25	other	other	ADJ
ap-1285	208	26	non	non	ADJ
ap-1285	208	27	-	-	ADJ
ap-1285	208	28	fractal	fractal	ADJ
ap-1285	208	29	components	component	NOUN
ap-1285	208	30	,	,	PUNCT
ap-1285	208	31	and	and	CCONJ
ap-1285	208	32	this	this	PRON
ap-1285	208	33	simplifies	simplify	VERB
ap-1285	208	34	the	the	DET
ap-1285	208	35	computations	computation	NOUN
ap-1285	208	36	according	accord	VERB
ap-1285	208	37	to	to	ADP
ap-1285	208	38	eq	eq	PROPN
ap-1285	208	39	.	.	PUNCT
ap-1285	209	1	(	(	PUNCT
ap-1285	209	2	9	9	NUM
ap-1285	209	3	)	)	PUNCT
ap-1285	209	4	.	.	PUNCT
ap-1285	210	1	there	there	PRON
ap-1285	210	2	is	be	VERB
ap-1285	210	3	no	no	DET
ap-1285	210	4	reason	reason	NOUN
ap-1285	210	5	why	why	SCONJ
ap-1285	210	6	the	the	DET
ap-1285	210	7	mentioned	mention	VERB
ap-1285	210	8	subspace	subspace	NOUN
ap-1285	210	9	has	have	VERB
ap-1285	210	10	to	to	PART
ap-1285	210	11	be	be	AUX
ap-1285	210	12	of	of	ADP
ap-1285	210	13	the	the	DET
ap-1285	210	14	euclidean	euclidean	ADJ
ap-1285	210	15	type	type	NOUN
ap-1285	210	16	.	.	PUNCT
ap-1285	211	1	it	it	PRON
ap-1285	211	2	can	can	AUX
ap-1285	211	3	also	also	ADV
ap-1285	211	4	be	be	AUX
ap-1285	211	5	of	of	ADP
ap-1285	211	6	fractal	fractal	ADJ
ap-1285	211	7	type	type	NOUN
ap-1285	211	8	,	,	PUNCT
ap-1285	211	9	i.e.	i.e.	X
ap-1285	211	10	its	its	PRON
ap-1285	211	11	dimension	dimension	NOUN
ap-1285	211	12	s	s	VERB
ap-1285	211	13	can	can	AUX
ap-1285	211	14	be	be	AUX
ap-1285	211	15	not	not	PART
ap-1285	211	16	only	only	ADV
ap-1285	211	17	an	an	DET
ap-1285	211	18	integer	integer	NOUN
ap-1285	211	19	but	but	CCONJ
ap-1285	211	20	also	also	ADV
ap-1285	211	21	a	a	DET
ap-1285	211	22	non	non	ADJ
ap-1285	211	23	-	-	ADJ
ap-1285	211	24	integer	integer	ADJ
ap-1285	211	25	number	number	NOUN
ap-1285	211	26	.	.	PUNCT
ap-1285	212	1	and	and	CCONJ
ap-1285	212	2	this	this	PRON
ap-1285	212	3	is	be	AUX
ap-1285	212	4	the	the	DET
ap-1285	212	5	case	case	NOUN
ap-1285	212	6	of	of	ADP
ap-1285	212	7	compact	compact	ADJ
ap-1285	212	8	metals	metal	NOUN
ap-1285	212	9	possessing	possess	VERB
ap-1285	212	10	the	the	DET
ap-1285	212	11	dimension	dimension	NOUN
ap-1285	212	12	di	di	X
ap-1285	212	13	=	=	SYM
ap-1285	212	14	3	3	NUM
ap-1285	212	15	,	,	PUNCT
ap-1285	212	16	for	for	ADP
ap-1285	212	17	which	which	PRON
ap-1285	212	18	eq	eq	ADP
ap-1285	212	19	.	.	PUNCT
ap-1285	213	1	(	(	PUNCT
ap-1285	213	2	22	22	NUM
ap-1285	213	3	)	)	PUNCT
ap-1285	213	4	gives	give	VERB
ap-1285	213	5	d∗	d∗	NOUN
ap-1285	213	6	i	i	PRON
ap-1285	213	7	=	=	SYM
ap-1285	213	8	s.	s.	PROPN
ap-1285	213	9	bouchaud	bouchaud	PROPN
ap-1285	213	10	,	,	PUNCT
ap-1285	213	11	lapasset	lapasset	NOUN
ap-1285	213	12	and	and	CCONJ
ap-1285	213	13	planès	planès	NOUN
ap-1285	214	1	[	[	X
ap-1285	214	2	25	25	NUM
ap-1285	214	3	]	]	PUNCT
ap-1285	214	4	,	,	PUNCT
ap-1285	214	5	when	when	SCONJ
ap-1285	214	6	investigated	investigate	VERB
ap-1285	214	7	metallic	metallic	ADJ
ap-1285	214	8	fractures	fracture	NOUN
ap-1285	214	9	,	,	PUNCT
ap-1285	214	10	found	find	VERB
ap-1285	214	11	d∗	d∗	NOUN
ap-1285	215	1	i	i	PRON
ap-1285	215	2	=	=	NOUN
ap-1285	215	3	2.2	2.2	NUM
ap-1285	215	4	which	which	PRON
ap-1285	215	5	means	mean	VERB
ap-1285	215	6	s	s	X
ap-1285	215	7	=	=	SYM
ap-1285	215	8	2.2	2.2	NUM
ap-1285	215	9	.	.	PUNCT
ap-1285	216	1	in	in	ADP
ap-1285	216	2	our	our	PRON
ap-1285	216	3	case	case	NOUN
ap-1285	216	4	of	of	ADP
ap-1285	216	5	porous	porous	ADJ
ap-1285	216	6	calcium	calcium	NOUN
ap-1285	216	7	-	-	PUNCT
ap-1285	216	8	silicate	silicate	NOUN
ap-1285	216	9	-	-	PUNCT
ap-1285	216	10	hydrates	hydrate	NOUN
ap-1285	216	11	the	the	DET
ap-1285	216	12	dimension	dimension	NOUN
ap-1285	216	13	s	s	PART
ap-1285	216	14	has	have	AUX
ap-1285	216	15	also	also	ADV
ap-1285	216	16	been	be	AUX
ap-1285	216	17	found	find	VERB
ap-1285	216	18	in	in	ADP
ap-1285	216	19	the	the	DET
ap-1285	216	20	same	same	ADJ
ap-1285	216	21	rank	rank	NOUN
ap-1285	216	22	s	s	PROPN
ap-1285	216	23	≈	≈	PROPN
ap-1285	216	24	2.2	2.2	NUM
ap-1285	216	25	,	,	PUNCT
ap-1285	216	26	although	although	SCONJ
ap-1285	216	27	these	these	DET
ap-1285	216	28	two	two	NUM
ap-1285	216	29	materials	material	NOUN
ap-1285	216	30	are	be	AUX
ap-1285	216	31	quite	quite	ADV
ap-1285	216	32	different	different	ADJ
ap-1285	216	33	.	.	PUNCT
ap-1285	217	1	the	the	DET
ap-1285	217	2	idea	idea	NOUN
ap-1285	217	3	that	that	SCONJ
ap-1285	217	4	s	s	AUX
ap-1285	217	5	may	may	AUX
ap-1285	217	6	be	be	AUX
ap-1285	217	7	a	a	DET
ap-1285	217	8	universal	universal	ADJ
ap-1285	217	9	exponent	exponent	NOUN
ap-1285	217	10	related	relate	VERB
ap-1285	217	11	to	to	ADP
ap-1285	217	12	fracture	fracture	NOUN
ap-1285	217	13	surfaces	surface	NOUN
ap-1285	217	14	has	have	AUX
ap-1285	217	15	been	be	AUX
ap-1285	217	16	indicated	indicate	VERB
ap-1285	217	17	previously	previously	ADV
ap-1285	217	18	[	[	X
ap-1285	217	19	25	25	NUM
ap-1285	217	20	]	]	PUNCT
ap-1285	217	21	,	,	PUNCT
ap-1285	217	22	and	and	CCONJ
ap-1285	217	23	our	our	PRON
ap-1285	217	24	results	result	NOUN
ap-1285	217	25	seem	seem	VERB
ap-1285	217	26	to	to	PART
ap-1285	217	27	support	support	VERB
ap-1285	217	28	it	it	PRON
ap-1285	217	29	,	,	PUNCT
ap-1285	217	30	nevertheless	nevertheless	ADV
ap-1285	217	31	,	,	PUNCT
ap-1285	217	32	this	this	DET
ap-1285	217	33	concept	concept	NOUN
ap-1285	217	34	should	should	AUX
ap-1285	217	35	be	be	AUX
ap-1285	217	36	studied	study	VERB
ap-1285	217	37	further	far	ADV
ap-1285	217	38	.	.	PUNCT
ap-1285	218	1	if	if	SCONJ
ap-1285	218	2	future	future	ADJ
ap-1285	218	3	experiments	experiment	NOUN
ap-1285	218	4	confirm	confirm	VERB
ap-1285	218	5	the	the	DET
ap-1285	218	6	concept	concept	NOUN
ap-1285	218	7	,	,	PUNCT
ap-1285	218	8	then	then	ADV
ap-1285	218	9	it	it	PRON
ap-1285	218	10	will	will	AUX
ap-1285	218	11	be	be	AUX
ap-1285	218	12	necessary	necessary	ADJ
ap-1285	218	13	to	to	PART
ap-1285	218	14	distinguish	distinguish	VERB
ap-1285	218	15	carefully	carefully	ADV
ap-1285	218	16	between	between	ADP
ap-1285	218	17	the	the	DET
ap-1285	218	18	two	two	NUM
ap-1285	218	19	types	type	NOUN
ap-1285	218	20	of	of	ADP
ap-1285	218	21	exponents	exponent	NOUN
ap-1285	218	22	s	s	PART
ap-1285	218	23	and	and	CCONJ
ap-1285	218	24	d∗	d∗	NOUN
ap-1285	218	25	i	i	PRON
ap-1285	218	26	.	.	PUNCT
ap-1285	219	1	the	the	DET
ap-1285	219	2	former	former	ADJ
ap-1285	219	3	exponent	exponent	NOUN
ap-1285	219	4	s	s	PART
ap-1285	219	5	is	be	AUX
ap-1285	219	6	a	a	DET
ap-1285	219	7	relatively	relatively	ADV
ap-1285	219	8	stable	stable	ADJ
ap-1285	219	9	and	and	CCONJ
ap-1285	219	10	probably	probably	ADV
ap-1285	219	11	universal	universal	ADJ
ap-1285	219	12	exponent	exponent	NOUN
ap-1285	219	13	which	which	PRON
ap-1285	219	14	would	would	AUX
ap-1285	219	15	be	be	AUX
ap-1285	219	16	directly	directly	ADV
ap-1285	219	17	measurable	measurable	ADJ
ap-1285	219	18	if	if	SCONJ
ap-1285	219	19	the	the	DET
ap-1285	219	20	sample	sample	NOUN
ap-1285	219	21	were	be	AUX
ap-1285	219	22	fully	fully	ADV
ap-1285	219	23	compact	compact	ADJ
ap-1285	219	24	(	(	PUNCT
ap-1285	219	25	non	non	ADJ
ap-1285	219	26	-	-	ADJ
ap-1285	219	27	porous	porous	ADJ
ap-1285	219	28	and	and	CCONJ
ap-1285	219	29	non	non	ADJ
ap-1285	219	30	-	-	ADJ
ap-1285	219	31	fractal	fractal	ADJ
ap-1285	219	32	)	)	PUNCT
ap-1285	219	33	,	,	PUNCT
ap-1285	219	34	i.e.	i.e.	X
ap-1285	219	35	a	a	DET
ap-1285	219	36	perfect	perfect	ADJ
ap-1285	219	37	euclidean	euclidean	ADJ
ap-1285	219	38	body	body	NOUN
ap-1285	219	39	.	.	PUNCT
ap-1285	220	1	the	the	DET
ap-1285	220	2	dimension	dimension	NOUN
ap-1285	220	3	s	s	VERB
ap-1285	220	4	seems	seem	VERB
ap-1285	220	5	to	to	PART
ap-1285	220	6	depend	depend	VERB
ap-1285	220	7	more	more	ADJ
ap-1285	220	8	on	on	ADP
ap-1285	220	9	the	the	DET
ap-1285	220	10	fracture	fracture	NOUN
ap-1285	220	11	process	process	NOUN
ap-1285	220	12	itself	itself	PRON
ap-1285	220	13	than	than	ADP
ap-1285	220	14	on	on	ADP
ap-1285	220	15	structural	structural	ADJ
ap-1285	220	16	components	component	NOUN
ap-1285	220	17	.	.	PUNCT
ap-1285	221	1	the	the	DET
ap-1285	221	2	latter	latter	ADJ
ap-1285	221	3	exponents	exponent	NOUN
ap-1285	221	4	are	be	AUX
ap-1285	221	5	the	the	DET
ap-1285	221	6	dimensions	dimension	NOUN
ap-1285	221	7	{	{	PUNCT
ap-1285	221	8	d∗	d∗	PROPN
ap-1285	221	9	i	i	PRON
ap-1285	221	10	}	}	PUNCT
ap-1285	221	11	of	of	ADP
ap-1285	221	12	surface	surface	NOUN
ap-1285	221	13	projections	projection	NOUN
ap-1285	221	14	.	.	PUNCT
ap-1285	222	1	they	they	PRON
ap-1285	222	2	vary	vary	VERB
ap-1285	222	3	with	with	ADP
ap-1285	222	4	the	the	DET
ap-1285	222	5	properties	property	NOUN
ap-1285	222	6	of	of	ADP
ap-1285	222	7	materials	material	NOUN
ap-1285	222	8	,	,	PUNCT
ap-1285	222	9	which	which	PRON
ap-1285	222	10	has	have	AUX
ap-1285	222	11	been	be	AUX
ap-1285	222	12	illustrated	illustrate	VERB
ap-1285	222	13	in	in	ADP
ap-1285	222	14	the	the	DET
ap-1285	222	15	previous	previous	ADJ
ap-1285	222	16	studies	study	NOUN
ap-1285	222	17	[	[	X
ap-1285	222	18	9	9	NUM
ap-1285	222	19	,	,	PUNCT
ap-1285	222	20	10	10	NUM
ap-1285	222	21	]	]	PUNCT
ap-1285	222	22	by	by	ADP
ap-1285	222	23	using	use	VERB
ap-1285	222	24	a	a	DET
ap-1285	222	25	series	series	NOUN
ap-1285	222	26	of	of	ADP
ap-1285	222	27	samples	sample	NOUN
ap-1285	222	28	of	of	ADP
ap-1285	222	29	different	different	ADJ
ap-1285	222	30	compressive	compressive	ADJ
ap-1285	222	31	strength	strength	NOUN
ap-1285	222	32	.	.	PUNCT
ap-1285	223	1	these	these	DET
ap-1285	223	2	studies	study	NOUN
ap-1285	223	3	have	have	AUX
ap-1285	223	4	simultaneously	simultaneously	ADV
ap-1285	223	5	confirmed	confirm	VERB
ap-1285	223	6	that	that	SCONJ
ap-1285	223	7	fracture	fracture	NOUN
ap-1285	223	8	surfaces	surface	NOUN
ap-1285	223	9	bear	bear	VERB
ap-1285	223	10	information	information	NOUN
ap-1285	223	11	on	on	ADP
ap-1285	223	12	the	the	DET
ap-1285	223	13	compressive	compressive	ADJ
ap-1285	223	14	strength	strength	NOUN
ap-1285	223	15	of	of	ADP
ap-1285	223	16	porous	porous	ADJ
ap-1285	223	17	materials	material	NOUN
ap-1285	223	18	(	(	PUNCT
ap-1285	223	19	fig	fig	NOUN
ap-1285	223	20	.	.	PUNCT
ap-1285	224	1	2	2	NUM
ap-1285	224	2	)	)	PUNCT
ap-1285	224	3	.	.	PUNCT
ap-1285	225	1	30	30	NUM
ap-1285	225	2	acta	acta	PROPN
ap-1285	225	3	polytechnica	polytechnica	PROPN
ap-1285	225	4	vol	vol	NOUN
ap-1285	225	5	.	.	PROPN
ap-1285	226	1	50	50	NUM
ap-1285	226	2	no	no	NOUN
ap-1285	226	3	.	.	PUNCT
ap-1285	227	1	6/2010	6/2010	NUM
ap-1285	227	2	4	4	NUM
ap-1285	227	3	conclusion	conclusion	NOUN
ap-1285	227	4	the	the	DET
ap-1285	227	5	fractal	fractal	ADJ
ap-1285	227	6	model	model	NOUN
ap-1285	227	7	of	of	ADP
ap-1285	227	8	compressive	compressive	ADJ
ap-1285	227	9	strength	strength	NOUN
ap-1285	227	10	may	may	AUX
ap-1285	227	11	be	be	AUX
ap-1285	227	12	applicable	applicable	ADJ
ap-1285	227	13	to	to	ADP
ap-1285	227	14	all	all	DET
ap-1285	227	15	fractal	fractal	ADJ
ap-1285	227	16	porous	porous	ADJ
ap-1285	227	17	materials	material	NOUN
ap-1285	227	18	.	.	PUNCT
ap-1285	228	1	if	if	SCONJ
ap-1285	228	2	the	the	DET
ap-1285	228	3	particular	particular	ADJ
ap-1285	228	4	material	material	NOUN
ap-1285	228	5	is	be	AUX
ap-1285	228	6	composed	compose	VERB
ap-1285	228	7	of	of	ADP
ap-1285	228	8	a	a	DET
ap-1285	228	9	single	single	ADJ
ap-1285	228	10	fractal	fractal	ADJ
ap-1285	228	11	component	component	NOUN
ap-1285	228	12	,	,	PUNCT
ap-1285	228	13	the	the	DET
ap-1285	228	14	model	model	NOUN
ap-1285	228	15	contains	contain	VERB
ap-1285	228	16	only	only	ADV
ap-1285	228	17	a	a	DET
ap-1285	228	18	few	few	ADJ
ap-1285	228	19	parameters	parameter	NOUN
ap-1285	228	20	that	that	PRON
ap-1285	228	21	can	can	AUX
ap-1285	228	22	be	be	AUX
ap-1285	228	23	easily	easily	ADV
ap-1285	228	24	fitted	fit	VERB
ap-1285	228	25	to	to	ADP
ap-1285	228	26	experimental	experimental	ADJ
ap-1285	228	27	data	datum	NOUN
ap-1285	228	28	.	.	PUNCT
ap-1285	229	1	however	however	ADV
ap-1285	229	2	,	,	PUNCT
ap-1285	229	3	when	when	SCONJ
ap-1285	229	4	more	more	ADJ
ap-1285	229	5	fractal	fractal	ADJ
ap-1285	229	6	components	component	NOUN
ap-1285	229	7	are	be	AUX
ap-1285	229	8	present	present	ADJ
ap-1285	229	9	,	,	PUNCT
ap-1285	229	10	many	many	ADJ
ap-1285	229	11	parameters	parameter	NOUN
ap-1285	229	12	have	have	VERB
ap-1285	229	13	to	to	PART
ap-1285	229	14	be	be	AUX
ap-1285	229	15	fitted	fit	VERB
ap-1285	229	16	and	and	CCONJ
ap-1285	229	17	there	there	PRON
ap-1285	229	18	may	may	AUX
ap-1285	229	19	arise	arise	VERB
ap-1285	229	20	numerical	numerical	ADJ
ap-1285	229	21	problems	problem	NOUN
ap-1285	229	22	in	in	ADP
ap-1285	229	23	selecting	select	VERB
ap-1285	229	24	their	their	PRON
ap-1285	229	25	‘	'	PUNCT
ap-1285	229	26	right	right	ADJ
ap-1285	229	27	’	'	PUNCT
ap-1285	229	28	values	value	NOUN
ap-1285	229	29	among	among	ADP
ap-1285	229	30	all	all	DET
ap-1285	229	31	the	the	DET
ap-1285	229	32	options	option	NOUN
ap-1285	229	33	,	,	PUNCT
ap-1285	229	34	each	each	PRON
ap-1285	229	35	of	of	ADP
ap-1285	229	36	which	which	PRON
ap-1285	229	37	satisfies	satisfy	VERB
ap-1285	229	38	the	the	DET
ap-1285	229	39	optimalizing	optimalizing	NOUN
ap-1285	229	40	criteria	criterion	NOUN
ap-1285	229	41	equally	equally	ADV
ap-1285	229	42	well	well	ADV
ap-1285	229	43	.	.	PUNCT
ap-1285	230	1	there	there	PRON
ap-1285	230	2	is	be	VERB
ap-1285	230	3	no	no	DET
ap-1285	230	4	general	general	ADJ
ap-1285	230	5	numerical	numerical	ADJ
ap-1285	230	6	procedure	procedure	NOUN
ap-1285	230	7	that	that	PRON
ap-1285	230	8	will	will	AUX
ap-1285	230	9	guarantee	guarantee	VERB
ap-1285	230	10	such	such	DET
ap-1285	230	11	a	a	DET
ap-1285	230	12	right	right	ADJ
ap-1285	230	13	selection	selection	NOUN
ap-1285	230	14	of	of	ADP
ap-1285	230	15	values	value	NOUN
ap-1285	230	16	.	.	PUNCT
ap-1285	231	1	in	in	ADP
ap-1285	231	2	these	these	DET
ap-1285	231	3	cases	case	NOUN
ap-1285	231	4	an	an	DET
ap-1285	231	5	intuitive	intuitive	ADJ
ap-1285	231	6	and	and	CCONJ
ap-1285	231	7	heuristic	heuristic	ADJ
ap-1285	231	8	approach	approach	NOUN
ap-1285	231	9	,	,	PUNCT
ap-1285	231	10	supported	support	VERB
ap-1285	231	11	by	by	ADP
ap-1285	231	12	physical	physical	ADJ
ap-1285	231	13	reasoning	reasoning	NOUN
ap-1285	231	14	,	,	PUNCT
ap-1285	231	15	may	may	AUX
ap-1285	231	16	be	be	AUX
ap-1285	231	17	instrumental	instrumental	ADJ
ap-1285	231	18	in	in	ADP
ap-1285	231	19	finding	find	VERB
ap-1285	231	20	an	an	DET
ap-1285	231	21	optimum	optimum	ADJ
ap-1285	231	22	solution	solution	NOUN
ap-1285	231	23	.	.	PUNCT
ap-1285	232	1	acknowledgement	acknowledgement	NOUN
ap-1285	232	2	this	this	DET
ap-1285	232	3	work	work	NOUN
ap-1285	232	4	was	be	AUX
ap-1285	232	5	supported	support	VERB
ap-1285	232	6	by	by	ADP
ap-1285	232	7	grant	grant	NOUN
ap-1285	232	8	no	no	PROPN
ap-1285	232	9	.	.	PUNCT
ap-1285	233	1	me09046	me09046	PROPN
ap-1285	233	2	provided	provide	VERB
ap-1285	233	3	by	by	ADP
ap-1285	233	4	the	the	DET
ap-1285	233	5	ministry	ministry	PROPN
ap-1285	233	6	of	of	ADP
ap-1285	233	7	education	education	PROPN
ap-1285	233	8	,	,	PUNCT
ap-1285	233	9	youth	youth	NOUN
ap-1285	233	10	and	and	CCONJ
ap-1285	233	11	sports	sport	NOUN
ap-1285	233	12	of	of	ADP
ap-1285	233	13	the	the	DET
ap-1285	233	14	czech	czech	PROPN
ap-1285	233	15	republic	republic	NOUN
ap-1285	233	16	.	.	PUNCT
ap-1285	234	1	references	reference	NOUN
ap-1285	234	2	[	[	X
ap-1285	234	3	1	1	NUM
ap-1285	234	4	]	]	X
ap-1285	234	5	mandelbrot	mandelbrot	PROPN
ap-1285	234	6	,	,	PUNCT
ap-1285	234	7	b.	b.	PROPN
ap-1285	234	8	b.	b.	PROPN
ap-1285	234	9	,	,	PUNCT
ap-1285	234	10	passoja	passoja	PROPN
ap-1285	234	11	,	,	PUNCT
ap-1285	234	12	d.	d.	PROPN
ap-1285	234	13	e.	e.	PROPN
ap-1285	234	14	,	,	PUNCT
ap-1285	234	15	panllay	panllay	PROPN
ap-1285	234	16	,	,	PUNCT
ap-1285	234	17	a.	a.	PROPN
ap-1285	234	18	j.	j.	PROPN
ap-1285	234	19	:	:	PUNCT
ap-1285	234	20	nature	nature	NOUN
ap-1285	234	21	,	,	PUNCT
ap-1285	234	22	1984	1984	NUM
ap-1285	234	23	,	,	PUNCT
ap-1285	234	24	vol	vol	NOUN
ap-1285	234	25	.	.	PROPN
ap-1285	234	26	308	308	NUM
ap-1285	234	27	,	,	PUNCT
ap-1285	234	28	p.	p.	NOUN
ap-1285	234	29	721	721	NUM
ap-1285	234	30	.	.	PUNCT
ap-1285	235	1	[	[	X
ap-1285	235	2	2	2	NUM
ap-1285	235	3	]	]	PUNCT
ap-1285	235	4	balankin	balankin	NOUN
ap-1285	235	5	,	,	PUNCT
ap-1285	235	6	a.	a.	PROPN
ap-1285	235	7	s.	s.	PROPN
ap-1285	235	8	et	et	PROPN
ap-1285	235	9	al	al	PROPN
ap-1285	235	10	.	.	PUNCT
ap-1285	235	11	:	:	PUNCT
ap-1285	236	1	phys	phy	NOUN
ap-1285	236	2	.	.	PUNCT
ap-1285	237	1	rev	rev	PROPN
ap-1285	237	2	.	.	PROPN
ap-1285	237	3	,	,	PUNCT
ap-1285	237	4	2005	2005	NUM
ap-1285	237	5	,	,	PUNCT
ap-1285	237	6	e	e	X
ap-1285	237	7	72	72	NUM
ap-1285	237	8	,	,	PUNCT
ap-1285	237	9	065101r	065101r	NUM
ap-1285	237	10	.	.	PUNCT
ap-1285	238	1	[	[	X
ap-1285	238	2	3	3	NUM
ap-1285	238	3	]	]	X
ap-1285	238	4	marconi	marconi	X
ap-1285	238	5	,	,	PUNCT
ap-1285	238	6	v.	v.	PROPN
ap-1285	238	7	i.	i.	PROPN
ap-1285	238	8	,	,	PUNCT
ap-1285	238	9	jaga	jaga	PROPN
ap-1285	238	10	,	,	PUNCT
ap-1285	238	11	e.	e.	PROPN
ap-1285	238	12	a.	a.	PROPN
ap-1285	238	13	:	:	PUNCT
ap-1285	238	14	phys	phy	NOUN
ap-1285	238	15	.	.	PUNCT
ap-1285	238	16	rev	rev	PROPN
ap-1285	238	17	.	.	PROPN
ap-1285	238	18	,	,	PUNCT
ap-1285	238	19	2005	2005	NUM
ap-1285	238	20	,	,	PUNCT
ap-1285	238	21	e	e	PROPN
ap-1285	238	22	71	71	NUM
ap-1285	238	23	,	,	PUNCT
ap-1285	238	24	036110	036110	NUM
ap-1285	238	25	.	.	PUNCT
ap-1285	239	1	[	[	X
ap-1285	239	2	4	4	NUM
ap-1285	239	3	]	]	X
ap-1285	239	4	bohn	bohn	PROPN
ap-1285	239	5	,	,	PUNCT
ap-1285	239	6	s.	s.	PROPN
ap-1285	239	7	et	et	PROPN
ap-1285	239	8	al	al	PROPN
ap-1285	239	9	.	.	PUNCT
ap-1285	239	10	:	:	PUNCT
ap-1285	240	1	phys	phy	NOUN
ap-1285	240	2	.	.	PUNCT
ap-1285	241	1	rev	rev	PROPN
ap-1285	241	2	.	.	PROPN
ap-1285	241	3	,	,	PUNCT
ap-1285	241	4	2005	2005	NUM
ap-1285	241	5	,	,	PUNCT
ap-1285	241	6	e	e	PROPN
ap-1285	241	7	71	71	NUM
ap-1285	241	8	,	,	PUNCT
ap-1285	241	9	046214	046214	NUM
ap-1285	241	10	.	.	PUNCT
ap-1285	242	1	[	[	X
ap-1285	242	2	5	5	NUM
ap-1285	242	3	]	]	PUNCT
ap-1285	242	4	bouchbinder	bouchbinder	NOUN
ap-1285	242	5	,	,	PUNCT
ap-1285	242	6	e.	e.	PROPN
ap-1285	242	7	,	,	PUNCT
ap-1285	242	8	kessler	kessler	PROPN
ap-1285	242	9	,	,	PUNCT
ap-1285	242	10	d.	d.	PROPN
ap-1285	242	11	,	,	PUNCT
ap-1285	242	12	procaccia	procaccia	PROPN
ap-1285	242	13	,	,	PUNCT
ap-1285	242	14	i.	i.	NOUN
ap-1285	242	15	:	:	PUNCT
ap-1285	242	16	phys	phy	NOUN
ap-1285	242	17	.	.	PUNCT
ap-1285	242	18	rev	rev	PROPN
ap-1285	242	19	.	.	PROPN
ap-1285	242	20	,	,	PUNCT
ap-1285	242	21	2004	2004	NUM
ap-1285	242	22	,	,	PUNCT
ap-1285	242	23	e	e	PROPN
ap-1285	242	24	70	70	NUM
ap-1285	242	25	,	,	PUNCT
ap-1285	242	26	0461107	0461107	NUM
ap-1285	242	27	.	.	PUNCT
ap-1285	243	1	[	[	X
ap-1285	243	2	6	6	NUM
ap-1285	243	3	]	]	X
ap-1285	243	4	yan	yan	PROPN
ap-1285	243	5	,	,	PUNCT
ap-1285	243	6	a.	a.	PROPN
ap-1285	243	7	,	,	PUNCT
ap-1285	243	8	wu	wu	PROPN
ap-1285	243	9	,	,	PUNCT
ap-1285	243	10	k.-r	k.-r	PROPN
ap-1285	243	11	.	.	PROPN
ap-1285	243	12	,	,	PUNCT
ap-1285	243	13	zhang	zhang	PROPN
ap-1285	243	14	,	,	PUNCT
ap-1285	243	15	d.	d.	PROPN
ap-1285	243	16	,	,	PUNCT
ap-1285	243	17	yao	yao	PROPN
ap-1285	243	18	,	,	PUNCT
ap-1285	243	19	w	w	PROPN
ap-1285	243	20	:	:	PUNCT
ap-1285	243	21	.	.	PUNCT
ap-1285	244	1	cem	cem	NOUN
ap-1285	244	2	.	.	PUNCT
ap-1285	245	1	concr	concr	PROPN
ap-1285	245	2	.	.	PUNCT
ap-1285	246	1	res	re	NOUN
ap-1285	246	2	.	.	PROPN
ap-1285	246	3	,	,	PUNCT
ap-1285	246	4	2003	2003	NUM
ap-1285	246	5	,	,	PUNCT
ap-1285	246	6	vol	vol	NOUN
ap-1285	246	7	.	.	PROPN
ap-1285	246	8	25	25	NUM
ap-1285	246	9	,	,	PUNCT
ap-1285	246	10	p.	p.	NOUN
ap-1285	246	11	153	153	NUM
ap-1285	246	12	.	.	PUNCT
ap-1285	247	1	[	[	X
ap-1285	247	2	7	7	NUM
ap-1285	247	3	]	]	X
ap-1285	247	4	wang	wang	PROPN
ap-1285	247	5	,	,	PUNCT
ap-1285	247	6	y.	y.	PROPN
ap-1285	247	7	,	,	PUNCT
ap-1285	247	8	diamond	diamond	NOUN
ap-1285	247	9	,	,	PUNCT
ap-1285	247	10	s.	s.	PROPN
ap-1285	247	11	:	:	PUNCT
ap-1285	247	12	cem	cem	NOUN
ap-1285	247	13	.	.	PUNCT
ap-1285	247	14	concr	concr	PROPN
ap-1285	247	15	.	.	PUNCT
ap-1285	248	1	res	re	NOUN
ap-1285	248	2	.	.	PROPN
ap-1285	248	3	,	,	PUNCT
ap-1285	248	4	2001	2001	NUM
ap-1285	248	5	,	,	PUNCT
ap-1285	248	6	vol	vol	NOUN
ap-1285	248	7	.	.	PROPN
ap-1285	248	8	31	31	NUM
ap-1285	248	9	,	,	PUNCT
ap-1285	248	10	p.	p.	NOUN
ap-1285	248	11	1	1	NUM
ap-1285	248	12	385	385	NUM
ap-1285	248	13	.	.	PUNCT
ap-1285	249	1	[	[	X
ap-1285	249	2	8	8	NUM
ap-1285	249	3	]	]	X
ap-1285	249	4	ficker	ficker	NOUN
ap-1285	249	5	,	,	PUNCT
ap-1285	249	6	t.	t.	PROPN
ap-1285	249	7	:	:	PUNCT
ap-1285	249	8	acta	acta	PROPN
ap-1285	249	9	polytechnica	polytechnica	PROPN
ap-1285	249	10	,	,	PUNCT
ap-1285	249	11	2007	2007	NUM
ap-1285	249	12	,	,	PUNCT
ap-1285	249	13	vol	vol	NOUN
ap-1285	249	14	.	.	PROPN
ap-1285	249	15	47	47	NUM
ap-1285	249	16	,	,	PUNCT
ap-1285	249	17	p.	p.	NOUN
ap-1285	249	18	27	27	NUM
ap-1285	249	19	.	.	PUNCT
ap-1285	250	1	[	[	X
ap-1285	250	2	9	9	NUM
ap-1285	250	3	]	]	X
ap-1285	250	4	ficker	ficker	NOUN
ap-1285	250	5	,	,	PUNCT
ap-1285	250	6	t.	t.	PROPN
ap-1285	250	7	europhys	europhys	PROPN
ap-1285	250	8	.	.	PUNCT
ap-1285	251	1	lett	lett	PROPN
ap-1285	251	2	.	.	PROPN
ap-1285	251	3	,	,	PUNCT
ap-1285	251	4	2007	2007	NUM
ap-1285	251	5	,	,	PUNCT
ap-1285	251	6	vol	vol	NOUN
ap-1285	251	7	.	.	PROPN
ap-1285	251	8	80	80	NUM
ap-1285	251	9	,	,	PUNCT
ap-1285	251	10	16	16	NUM
ap-1285	251	11	002p1	002p1	NUM
ap-1285	251	12	.	.	PUNCT
ap-1285	252	1	[	[	X
ap-1285	252	2	10	10	NUM
ap-1285	252	3	]	]	X
ap-1285	252	4	ficker	ficker	NOUN
ap-1285	252	5	,	,	PUNCT
ap-1285	252	6	t.	t.	PROPN
ap-1285	252	7	:	:	PUNCT
ap-1285	252	8	theoret	theoret	ADJ
ap-1285	252	9	.	.	PUNCT
ap-1285	253	1	appl	appl	PROPN
ap-1285	253	2	.	.	PUNCT
ap-1285	254	1	fract	fract	PROPN
ap-1285	254	2	.	.	PUNCT
ap-1285	255	1	mech	mech	PROPN
ap-1285	255	2	.	.	PROPN
ap-1285	255	3	,	,	PUNCT
ap-1285	255	4	2008	2008	NUM
ap-1285	255	5	,	,	PUNCT
ap-1285	255	6	vol	vol	NOUN
ap-1285	255	7	.	.	PROPN
ap-1285	255	8	50	50	NUM
ap-1285	255	9	,	,	PUNCT
ap-1285	255	10	p.	p.	NOUN
ap-1285	255	11	167	167	NUM
ap-1285	255	12	.	.	PUNCT
ap-1285	256	1	[	[	X
ap-1285	256	2	11	11	NUM
ap-1285	256	3	]	]	X
ap-1285	256	4	balshin	balshin	NOUN
ap-1285	256	5	,	,	PUNCT
ap-1285	256	6	m.	m.	NOUN
ap-1285	256	7	y.	y.	NOUN
ap-1285	256	8	:	:	PUNCT
ap-1285	256	9	dokl	dokl	NOUN
ap-1285	256	10	.	.	PUNCT
ap-1285	256	11	akad	akad	PROPN
ap-1285	256	12	.	.	PUNCT
ap-1285	257	1	nauk	nauk	PROPN
ap-1285	257	2	sssr	sssr	NOUN
ap-1285	257	3	,	,	PUNCT
ap-1285	257	4	1949	1949	NUM
ap-1285	257	5	,	,	PUNCT
ap-1285	257	6	vol	vol	NOUN
ap-1285	257	7	.	.	PROPN
ap-1285	257	8	67	67	NUM
ap-1285	257	9	,	,	PUNCT
ap-1285	257	10	p.	p.	NOUN
ap-1285	257	11	831	831	NUM
ap-1285	257	12	(	(	PUNCT
ap-1285	257	13	in	in	ADP
ap-1285	257	14	russian	russian	NOUN
ap-1285	257	15	)	)	PUNCT
ap-1285	257	16	.	.	PUNCT
ap-1285	258	1	[	[	X
ap-1285	258	2	12	12	NUM
ap-1285	258	3	]	]	X
ap-1285	258	4	narayanan	narayanan	PROPN
ap-1285	258	5	,	,	PUNCT
ap-1285	258	6	n.	n.	NOUN
ap-1285	258	7	,	,	PUNCT
ap-1285	258	8	ramamurthy	ramamurthy	ADJ
ap-1285	258	9	,	,	PUNCT
ap-1285	258	10	k.	k.	NOUN
ap-1285	258	11	:	:	PUNCT
ap-1285	258	12	cem	cem	NOUN
ap-1285	258	13	.	.	PUNCT
ap-1285	258	14	concr	concr	PROPN
ap-1285	258	15	.	.	PUNCT
ap-1285	259	1	res	re	NOUN
ap-1285	259	2	.	.	PROPN
ap-1285	259	3	,	,	PUNCT
ap-1285	259	4	2000	2000	NUM
ap-1285	259	5	,	,	PUNCT
ap-1285	259	6	vol	vol	NOUN
ap-1285	259	7	.	.	PROPN
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ap-1285	259	9	,	,	PUNCT
ap-1285	259	10	p.	p.	NOUN
ap-1285	259	11	321	321	NUM
ap-1285	259	12	.	.	PUNCT
ap-1285	260	1	[	[	X
ap-1285	260	2	13	13	NUM
ap-1285	260	3	]	]	PUNCT
ap-1285	260	4	falconer	falconer	NOUN
ap-1285	260	5	,	,	PUNCT
ap-1285	260	6	k.	k.	PROPN
ap-1285	260	7	j.	j.	PROPN
ap-1285	260	8	:	:	PUNCT
ap-1285	260	9	professor	professor	NOUN
ap-1285	260	10	of	of	ADP
ap-1285	260	11	mathematics	mathematics	PROPN
ap-1285	260	12	,	,	PUNCT
ap-1285	260	13	university	university	PROPN
ap-1285	260	14	of	of	ADP
ap-1285	260	15	st	st	PROPN
ap-1285	260	16	.	.	PROPN
ap-1285	260	17	andrews	andrews	PROPN
ap-1285	260	18	,	,	PUNCT
ap-1285	260	19	scotland	scotland	PROPN
ap-1285	260	20	–	–	PUNCT
ap-1285	260	21	private	private	ADJ
ap-1285	260	22	communication	communication	NOUN
ap-1285	260	23	.	.	PUNCT
ap-1285	261	1	[	[	X
ap-1285	261	2	14	14	NUM
ap-1285	261	3	]	]	X
ap-1285	261	4	mandelbrot	mandelbrot	PROPN
ap-1285	261	5	,	,	PUNCT
ap-1285	261	6	b.	b.	PROPN
ap-1285	261	7	b.	b.	PROPN
ap-1285	261	8	:	:	PUNCT
ap-1285	261	9	fractal	fractal	PROPN
ap-1285	261	10	geometry	geometry	NOUN
ap-1285	261	11	of	of	ADP
ap-1285	261	12	nature	nature	NOUN
ap-1285	261	13	.	.	PUNCT
ap-1285	262	1	san	san	PROPN
ap-1285	262	2	francisco	francisco	PROPN
ap-1285	262	3	,	,	PUNCT
ap-1285	262	4	freeman	freeman	NOUN
ap-1285	262	5	,	,	PUNCT
ap-1285	262	6	1982	1982	NUM
ap-1285	262	7	.	.	PUNCT
ap-1285	263	1	[	[	X
ap-1285	263	2	15	15	NUM
ap-1285	263	3	]	]	X
ap-1285	263	4	ficker	ficker	NOUN
ap-1285	263	5	,	,	PUNCT
ap-1285	263	6	t.	t.	PROPN
ap-1285	263	7	,	,	PUNCT
ap-1285	263	8	benešovský	benešovský	PROPN
ap-1285	263	9	,	,	PUNCT
ap-1285	263	10	p.	p.	NOUN
ap-1285	263	11	:	:	PUNCT
ap-1285	263	12	eur	eur	PROPN
ap-1285	263	13	.	.	PUNCT
ap-1285	264	1	j.	j.	PROPN
ap-1285	264	2	phys	phys	PROPN
ap-1285	264	3	.	.	PUNCT
ap-1285	264	4	,	,	PUNCT
ap-1285	264	5	2002	2002	NUM
ap-1285	264	6	,	,	PUNCT
ap-1285	264	7	vol	vol	NOUN
ap-1285	264	8	.	.	PROPN
ap-1285	264	9	23	23	NUM
ap-1285	264	10	,	,	PUNCT
ap-1285	264	11	p.	p.	NOUN
ap-1285	264	12	403	403	NUM
ap-1285	264	13	.	.	PUNCT
ap-1285	265	1	[	[	X
ap-1285	265	2	16	16	NUM
ap-1285	265	3	]	]	X
ap-1285	265	4	hausdorff	hausdorff	NOUN
ap-1285	265	5	,	,	PUNCT
ap-1285	265	6	f.	f.	PROPN
ap-1285	265	7	:	:	PUNCT
ap-1285	265	8	math	math	PROPN
ap-1285	265	9	.	.	PUNCT
ap-1285	266	1	ann	ann	PROPN
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ap-1285	266	3	,	,	PUNCT
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ap-1285	266	5	,	,	PUNCT
ap-1285	266	6	vol	vol	NOUN
ap-1285	266	7	.	.	PROPN
ap-1285	266	8	79	79	NUM
ap-1285	266	9	,	,	PUNCT
ap-1285	266	10	p.	p.	NOUN
ap-1285	266	11	157	157	NUM
ap-1285	266	12	.	.	PUNCT
ap-1285	267	1	[	[	X
ap-1285	267	2	17	17	NUM
ap-1285	267	3	]	]	X
ap-1285	267	4	ficker	ficker	NOUN
ap-1285	267	5	,	,	PUNCT
ap-1285	267	6	t.	t.	PROPN
ap-1285	267	7	,	,	PUNCT
ap-1285	267	8	druckmüller	druckmüller	NUM
ap-1285	267	9	,	,	PUNCT
ap-1285	267	10	m.	m.	NOUN
ap-1285	267	11	,	,	PUNCT
ap-1285	267	12	martǐsek	martǐsek	PROPN
ap-1285	267	13	,	,	PUNCT
ap-1285	267	14	d.	d.	NOUN
ap-1285	267	15	:	:	PUNCT
ap-1285	267	16	czech	czech	PROPN
ap-1285	267	17	.	.	PUNCT
ap-1285	268	1	j.	j.	PROPN
ap-1285	268	2	phys	phys	PROPN
ap-1285	268	3	.	.	PUNCT
ap-1285	268	4	,	,	PUNCT
ap-1285	268	5	1999	1999	NUM
ap-1285	268	6	,	,	PUNCT
ap-1285	268	7	vol	vol	NOUN
ap-1285	268	8	.	.	PROPN
ap-1285	268	9	49	49	NUM
ap-1285	268	10	,	,	PUNCT
ap-1285	268	11	p.	p.	NOUN
ap-1285	268	12	1	1	NUM
ap-1285	268	13	445	445	NUM
ap-1285	268	14	.	.	PUNCT
ap-1285	269	1	[	[	X
ap-1285	269	2	18	18	NUM
ap-1285	269	3	]	]	X
ap-1285	269	4	ficker	ficker	NOUN
ap-1285	269	5	,	,	PUNCT
ap-1285	269	6	t.	t.	PROPN
ap-1285	269	7	:	:	PUNCT
ap-1285	269	8	j.	j.	PROPN
ap-1285	269	9	phys	phys	PROPN
ap-1285	269	10	.	.	PUNCT
ap-1285	270	1	d	d	X
ap-1285	270	2	:	:	PUNCT
ap-1285	270	3	appl	appl	PROPN
ap-1285	270	4	.	.	PUNCT
ap-1285	271	1	phys	phy	NOUN
ap-1285	271	2	.	.	PUNCT
ap-1285	271	3	,	,	PUNCT
ap-1285	271	4	1999	1999	NUM
ap-1285	271	5	,	,	PUNCT
ap-1285	271	6	vol	vol	NOUN
ap-1285	271	7	.	.	PROPN
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ap-1285	271	9	,	,	PUNCT
ap-1285	271	10	p.	p.	NOUN
ap-1285	271	11	219	219	NUM
ap-1285	271	12	.	.	PUNCT
ap-1285	272	1	[	[	X
ap-1285	272	2	19	19	NUM
ap-1285	272	3	]	]	X
ap-1285	272	4	ficker	ficker	NOUN
ap-1285	272	5	,	,	PUNCT
ap-1285	272	6	t.	t.	PROPN
ap-1285	272	7	:	:	PUNCT
ap-1285	272	8	ieee	ieee	PROPN
ap-1285	272	9	trans	trans	PROPN
ap-1285	272	10	.	.	PUNCT
ap-1285	272	11	diel	diel	PROPN
ap-1285	272	12	.	.	PUNCT
ap-1285	273	1	el	el	PROPN
ap-1285	273	2	.	.	PROPN
ap-1285	273	3	insul	insul	PROPN
ap-1285	273	4	.	.	PROPN
ap-1285	273	5	,	,	PUNCT
ap-1285	273	6	2003	2003	NUM
ap-1285	273	7	,	,	PUNCT
ap-1285	273	8	vol	vol	NOUN
ap-1285	273	9	.	.	PROPN
ap-1285	273	10	10	10	NUM
ap-1285	273	11	,	,	PUNCT
ap-1285	273	12	p.	p.	NOUN
ap-1285	273	13	700	700	NUM
ap-1285	273	14	.	.	PUNCT
ap-1285	274	1	[	[	X
ap-1285	274	2	20	20	NUM
ap-1285	274	3	]	]	X
ap-1285	274	4	ficker	ficker	NOUN
ap-1285	274	5	,	,	PUNCT
ap-1285	274	6	t.	t.	PROPN
ap-1285	274	7	:	:	PUNCT
ap-1285	274	8	j.	j.	PROPN
ap-1285	274	9	phys	phys	PROPN
ap-1285	274	10	.	.	PUNCT
ap-1285	275	1	d	d	X
ap-1285	275	2	:	:	PUNCT
ap-1285	275	3	appl	appl	PROPN
ap-1285	275	4	.	.	PUNCT
ap-1285	276	1	phys	phy	NOUN
ap-1285	276	2	.	.	PUNCT
ap-1285	276	3	,	,	PUNCT
ap-1285	276	4	2005	2005	NUM
ap-1285	276	5	,	,	PUNCT
ap-1285	276	6	vol	vol	NOUN
ap-1285	276	7	.	.	PROPN
ap-1285	276	8	38	38	NUM
ap-1285	276	9	,	,	PUNCT
ap-1285	276	10	p.	p.	NOUN
ap-1285	276	11	483	483	NUM
ap-1285	276	12	.	.	PUNCT
ap-1285	277	1	[	[	X
ap-1285	277	2	21	21	NUM
ap-1285	277	3	]	]	X
ap-1285	277	4	ficker	ficker	PROPN
ap-1285	277	5	,	,	PUNCT
ap-1285	277	6	t.	t.	PROPN
ap-1285	277	7	,	,	PUNCT
ap-1285	277	8	němec	němec	PROPN
ap-1285	277	9	,	,	PUNCT
ap-1285	277	10	p.	p.	NOUN
ap-1285	277	11	:	:	PUNCT
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ap-1285	277	14	strength	strength	NOUN
ap-1285	277	15	of	of	ADP
ap-1285	277	16	cement	cement	NOUN
ap-1285	277	17	materials	material	NOUN
ap-1285	277	18	.	.	PUNCT
ap-1285	278	1	in	in	ADP
ap-1285	278	2	proceedings	proceeding	NOUN
ap-1285	278	3	of	of	ADP
ap-1285	278	4	the	the	DET
ap-1285	278	5	international	international	ADJ
ap-1285	278	6	workshop	workshop	NOUN
ap-1285	278	7	on	on	ADP
ap-1285	278	8	physical	physical	ADJ
ap-1285	278	9	and	and	CCONJ
ap-1285	278	10	material	material	NOUN
ap-1285	278	11	engineering	engineering	NOUN
ap-1285	278	12	2006	2006	NUM
ap-1285	278	13	,	,	PUNCT
ap-1285	278	14	bratislava	bratislava	PROPN
ap-1285	278	15	,	,	PUNCT
ap-1285	278	16	slovak	slovak	ADJ
ap-1285	278	17	university	university	NOUN
ap-1285	278	18	of	of	ADP
ap-1285	278	19	technology	technology	NOUN
ap-1285	278	20	,	,	PUNCT
ap-1285	278	21	2006	2006	NUM
ap-1285	278	22	,	,	PUNCT
ap-1285	278	23	p.	p.	NOUN
ap-1285	278	24	30–33	30–33	NUM
ap-1285	278	25	.	.	PUNCT
ap-1285	279	1	[	[	X
ap-1285	279	2	22	22	NUM
ap-1285	279	3	]	]	PUNCT
ap-1285	279	4	ryshkewitch	ryshkewitch	NOUN
ap-1285	279	5	,	,	PUNCT
ap-1285	279	6	e.	e.	PROPN
ap-1285	279	7	:	:	PUNCT
ap-1285	279	8	j.	j.	PROPN
ap-1285	279	9	am	am	PROPN
ap-1285	279	10	.	.	PUNCT
ap-1285	280	1	ceram	ceram	PROPN
ap-1285	280	2	.	.	PUNCT
ap-1285	281	1	soc	soc	PROPN
ap-1285	281	2	.	.	PUNCT
ap-1285	281	3	,	,	PUNCT
ap-1285	281	4	1953	1953	NUM
ap-1285	281	5	,	,	PUNCT
ap-1285	281	6	vol	vol	NOUN
ap-1285	281	7	.	.	PROPN
ap-1285	281	8	36	36	NUM
ap-1285	281	9	,	,	PUNCT
ap-1285	281	10	p.	p.	NOUN
ap-1285	281	11	65	65	NUM
ap-1285	281	12	.	.	PUNCT
ap-1285	282	1	[	[	X
ap-1285	282	2	23	23	NUM
ap-1285	282	3	]	]	X
ap-1285	282	4	schiller	schiller	NOUN
ap-1285	282	5	,	,	PUNCT
ap-1285	282	6	k.	k.	PROPN
ap-1285	282	7	k.	k.	PROPN
ap-1285	282	8	:	:	PUNCT
ap-1285	283	1	in	in	ADP
ap-1285	283	2	:	:	PUNCT
ap-1285	283	3	walton	walton	PROPN
ap-1285	283	4	,	,	PUNCT
ap-1285	283	5	w.	w.	PROPN
ap-1285	283	6	h.	h.	PROPN
ap-1285	283	7	(	(	PUNCT
ap-1285	283	8	ed	ed	NOUN
ap-1285	283	9	.	.	PUNCT
ap-1285	283	10	)	)	PUNCT
ap-1285	284	1	mechanical	mechanical	ADJ
ap-1285	284	2	properties	property	NOUN
ap-1285	284	3	of	of	ADP
ap-1285	284	4	non	non	ADJ
ap-1285	284	5	-	-	ADJ
ap-1285	284	6	metallic	metallic	ADJ
ap-1285	284	7	brittle	brittle	ADJ
ap-1285	284	8	materials	material	NOUN
ap-1285	284	9	.	.	PUNCT
ap-1285	285	1	london	london	PROPN
ap-1285	285	2	,	,	PUNCT
ap-1285	285	3	butterworths	butterworth	NOUN
ap-1285	285	4	,	,	PUNCT
ap-1285	285	5	1958	1958	NUM
ap-1285	285	6	,	,	PUNCT
ap-1285	285	7	pp	pp	ADJ
ap-1285	285	8	.	.	PUNCT
ap-1285	286	1	35–45	35–45	X
ap-1285	286	2	.	.	PUNCT
ap-1285	287	1	[	[	X
ap-1285	287	2	24	24	NUM
ap-1285	287	3	]	]	PUNCT
ap-1285	287	4	scherer	scherer	PROPN
ap-1285	287	5	,	,	PUNCT
ap-1285	287	6	g.	g.	PROPN
ap-1285	287	7	w.	w.	PROPN
ap-1285	287	8	:	:	PUNCT
ap-1285	287	9	cem	cem	NOUN
ap-1285	287	10	.	.	PUNCT
ap-1285	287	11	concr	concr	PROPN
ap-1285	287	12	.	.	PUNCT
ap-1285	288	1	res	re	NOUN
ap-1285	288	2	.	.	PROPN
ap-1285	288	3	,	,	PUNCT
ap-1285	288	4	1999	1999	NUM
ap-1285	288	5	,	,	PUNCT
ap-1285	288	6	vol	vol	NOUN
ap-1285	288	7	.	.	PROPN
ap-1285	288	8	29	29	NUM
ap-1285	288	9	,	,	PUNCT
ap-1285	288	10	p.	p.	NOUN
ap-1285	288	11	1	1	NUM
ap-1285	288	12	149	149	NUM
ap-1285	288	13	.	.	PUNCT
ap-1285	289	1	[	[	X
ap-1285	289	2	25	25	NUM
ap-1285	289	3	]	]	PUNCT
ap-1285	289	4	bouchaud	bouchaud	PROPN
ap-1285	289	5	,	,	PUNCT
ap-1285	289	6	e.	e.	PROPN
ap-1285	289	7	,	,	PUNCT
ap-1285	289	8	lapasset	lapasset	PROPN
ap-1285	289	9	,	,	PUNCT
ap-1285	289	10	g.	g.	PROPN
ap-1285	289	11	,	,	PUNCT
ap-1285	289	12	planès	planès	PROPN
ap-1285	289	13	,	,	PUNCT
ap-1285	289	14	j.	j.	PROPN
ap-1285	289	15	:	:	PUNCT
ap-1285	289	16	europhys	europhys	PROPN
ap-1285	289	17	.	.	PUNCT
ap-1285	290	1	lett	lett	PROPN
ap-1285	290	2	.	.	PROPN
ap-1285	290	3	,	,	PUNCT
ap-1285	290	4	1990	1990	NUM
ap-1285	290	5	,	,	PUNCT
ap-1285	290	6	vol	vol	NOUN
ap-1285	290	7	.	.	PROPN
ap-1285	290	8	13	13	NUM
ap-1285	290	9	,	,	PUNCT
ap-1285	290	10	p.	p.	NOUN
ap-1285	290	11	73	73	NUM
ap-1285	290	12	.	.	PUNCT
ap-1285	291	1	prof	prof	PROPN
ap-1285	291	2	.	.	PUNCT
ap-1285	292	1	rndr	rndr	PROPN
ap-1285	292	2	.	.	PUNCT
ap-1285	293	1	tomáš	tomáš	PROPN
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ap-1285	293	4	drsc	drsc	PROPN
ap-1285	293	5	.	.	PUNCT
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ap-1285	294	2	:	:	PUNCT
ap-1285	294	3	+420	+420	NUM
ap-1285	295	1	541	541	NUM
ap-1285	295	2	147	147	NUM
ap-1285	295	3	661	661	NUM
ap-1285	295	4	e	e	NOUN
ap-1285	295	5	-	-	NOUN
ap-1285	295	6	mail	mail	NOUN
ap-1285	295	7	:	:	PUNCT
ap-1285	295	8	ficker.t@fce.vutbr.cz	ficker.t@fce.vutbr.cz	PROPN
ap-1285	295	9	department	department	PROPN
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ap-1285	295	11	physics	physics	PROPN
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ap-1285	295	13	of	of	ADP
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ap-1285	295	15	engineering	engineering	NOUN
ap-1285	295	16	university	university	PROPN
ap-1285	295	17	of	of	ADP
ap-1285	295	18	technology	technology	PROPN
ap-1285	295	19	žižkova	žižkova	X
ap-1285	295	20	17	17	NUM
ap-1285	295	21	,	,	PUNCT
ap-1285	295	22	662	662	NUM
ap-1285	295	23	37	37	NUM
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ap-1285	295	25	,	,	PUNCT
ap-1285	295	26	czech	czech	PROPN
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ap-1285	295	28	31	31	NUM