id	sid	tid	token	lemma	pos
fcis-3734	1	1	frontiers	frontier	NOUN
fcis-3734	1	2	in	in	ADP
fcis-3734	1	3	computing	computing	NOUN
fcis-3734	1	4	and	and	CCONJ
fcis-3734	1	5	intelligent	intelligent	ADJ
fcis-3734	1	6	systems	system	NOUN
fcis-3734	1	7	issn	issn	VERB
fcis-3734	1	8	:	:	PUNCT
fcis-3734	1	9	2832	2832	NUM
fcis-3734	1	10	-	-	SYM
fcis-3734	1	11	6024	6024	NUM
fcis-3734	1	12	|	|	NOUN
fcis-3734	1	13	vol	vol	NOUN
fcis-3734	1	14	.	.	PROPN
fcis-3734	2	1	2	2	NUM
fcis-3734	2	2	,	,	PUNCT
fcis-3734	2	3	no	no	INTJ
fcis-3734	2	4	.	.	NOUN
fcis-3734	2	5	2	2	NUM
fcis-3734	2	6	,	,	PUNCT
fcis-3734	2	7	2022	2022	NUM
fcis-3734	2	8	6	6	NUM
fcis-3734	2	9	construction	construction	NOUN
fcis-3734	2	10	of	of	ADP
fcis-3734	2	11	a	a	DET
fcis-3734	2	12	model	model	NOUN
fcis-3734	2	13	for	for	ADP
fcis-3734	2	14	calculating	calculate	VERB
fcis-3734	2	15	average	average	ADJ
fcis-3734	2	16	tortuosity	tortuosity	NOUN
fcis-3734	2	17	of	of	ADP
fcis-3734	2	18	porous	porous	ADJ
fcis-3734	2	19	media	medium	NOUN
fcis-3734	2	20	based	base	VERB
fcis-3734	2	21	on	on	ADP
fcis-3734	2	22	optimal	optimal	ADJ
fcis-3734	2	23	fractal	fractal	ADJ
fcis-3734	2	24	structure	structure	NOUN
fcis-3734	2	25	lijie	lijie	PROPN
fcis-3734	2	26	cai	cai	PROPN
fcis-3734	2	27	1	1	NUM
fcis-3734	2	28	,	,	PUNCT
fcis-3734	2	29	xiaoyin	xiaoyin	PROPN
fcis-3734	2	30	wang2	wang2	PROPN
fcis-3734	2	31	,	,	PUNCT
fcis-3734	2	32	*	*	SYM
fcis-3734	2	33	1	1	NUM
fcis-3734	2	34	school	school	NOUN
fcis-3734	2	35	of	of	ADP
fcis-3734	2	36	mathematical	mathematical	ADJ
fcis-3734	2	37	sciences	sciences	PROPN
fcis-3734	2	38	,	,	PUNCT
fcis-3734	2	39	tiangong	tiangong	NOUN
fcis-3734	2	40	university	university	PROPN
fcis-3734	2	41	,	,	PUNCT
fcis-3734	2	42	tianjin	tianjin	PROPN
fcis-3734	2	43	300387	300387	NUM
fcis-3734	2	44	,	,	PUNCT
fcis-3734	2	45	china	china	PROPN
fcis-3734	2	46	2	2	NUM
fcis-3734	2	47	school	school	NOUN
fcis-3734	2	48	of	of	ADP
fcis-3734	2	49	textile	textile	NOUN
fcis-3734	2	50	science	science	NOUN
fcis-3734	2	51	and	and	CCONJ
fcis-3734	2	52	engineering	engineering	NOUN
fcis-3734	2	53	,	,	PUNCT
fcis-3734	2	54	tiangong	tiangong	PROPN
fcis-3734	2	55	university	university	PROPN
fcis-3734	2	56	,	,	PUNCT
fcis-3734	2	57	tianjin	tianjin	PROPN
fcis-3734	2	58	300387	300387	NUM
fcis-3734	2	59	,	,	PUNCT
fcis-3734	2	60	china	china	PROPN
fcis-3734	2	61	*	*	PUNCT
fcis-3734	2	62	corresponding	correspond	VERB
fcis-3734	2	63	author	author	NOUN
fcis-3734	2	64	:	:	PUNCT
fcis-3734	2	65	xiaoyin	xiaoyin	PROPN
fcis-3734	2	66	wang	wang	PROPN
fcis-3734	2	67	abstract	abstract	PROPN
fcis-3734	2	68	:	:	PUNCT
fcis-3734	3	1	the	the	DET
fcis-3734	3	2	distribution	distribution	NOUN
fcis-3734	3	3	of	of	ADP
fcis-3734	3	4	pores	pore	NOUN
fcis-3734	3	5	and	and	CCONJ
fcis-3734	3	6	skeletons	skeleton	NOUN
fcis-3734	3	7	in	in	ADP
fcis-3734	3	8	porous	porous	ADJ
fcis-3734	3	9	media	medium	NOUN
fcis-3734	3	10	materials	material	NOUN
fcis-3734	3	11	are	be	AUX
fcis-3734	3	12	irregular	irregular	ADJ
fcis-3734	3	13	,	,	PUNCT
fcis-3734	3	14	and	and	CCONJ
fcis-3734	3	15	its	its	PRON
fcis-3734	3	16	distribution	distribution	NOUN
fcis-3734	3	17	of	of	ADP
fcis-3734	3	18	curved	curved	ADJ
fcis-3734	3	19	pore	pore	ADJ
fcis-3734	3	20	channels	channel	NOUN
fcis-3734	3	21	is	be	AUX
fcis-3734	3	22	uneven	uneven	ADJ
fcis-3734	3	23	and	and	CCONJ
fcis-3734	3	24	complex	complex	ADJ
fcis-3734	3	25	.	.	PUNCT
fcis-3734	4	1	the	the	DET
fcis-3734	4	2	bending	bend	VERB
fcis-3734	4	3	degree	degree	NOUN
fcis-3734	4	4	of	of	ADP
fcis-3734	4	5	pores	pore	NOUN
fcis-3734	4	6	affects	affect	VERB
fcis-3734	4	7	the	the	DET
fcis-3734	4	8	internal	internal	ADJ
fcis-3734	4	9	heat	heat	NOUN
fcis-3734	4	10	transfer	transfer	NOUN
fcis-3734	4	11	process	process	NOUN
fcis-3734	4	12	.	.	PUNCT
fcis-3734	5	1	the	the	DET
fcis-3734	5	2	tortuosity	tortuosity	NOUN
fcis-3734	5	3	is	be	AUX
fcis-3734	5	4	not	not	PART
fcis-3734	5	5	only	only	ADV
fcis-3734	5	6	a	a	DET
fcis-3734	5	7	parameter	parameter	NOUN
fcis-3734	5	8	to	to	PART
fcis-3734	5	9	describe	describe	VERB
fcis-3734	5	10	the	the	DET
fcis-3734	5	11	bending	bend	VERB
fcis-3734	5	12	degree	degree	NOUN
fcis-3734	5	13	of	of	ADP
fcis-3734	5	14	pore	pore	ADJ
fcis-3734	5	15	channels	channel	NOUN
fcis-3734	5	16	,	,	PUNCT
fcis-3734	5	17	but	but	CCONJ
fcis-3734	5	18	also	also	ADV
fcis-3734	5	19	is	be	AUX
fcis-3734	5	20	one	one	NUM
fcis-3734	5	21	of	of	ADP
fcis-3734	5	22	the	the	DET
fcis-3734	5	23	important	important	ADJ
fcis-3734	5	24	structural	structural	ADJ
fcis-3734	5	25	basic	basic	ADJ
fcis-3734	5	26	parameters	parameter	NOUN
fcis-3734	5	27	of	of	ADP
fcis-3734	5	28	porous	porous	ADJ
fcis-3734	5	29	media	medium	NOUN
fcis-3734	5	30	materials	material	NOUN
fcis-3734	5	31	.	.	PUNCT
fcis-3734	6	1	according	accord	VERB
fcis-3734	6	2	to	to	ADP
fcis-3734	6	3	the	the	DET
fcis-3734	6	4	porosity	porosity	NOUN
fcis-3734	6	5	of	of	ADP
fcis-3734	6	6	the	the	DET
fcis-3734	6	7	porous	porous	ADJ
fcis-3734	6	8	media	medium	NOUN
fcis-3734	6	9	materials	material	NOUN
fcis-3734	6	10	,	,	PUNCT
fcis-3734	6	11	sierpinski	sierpinski	ADJ
fcis-3734	6	12	carpet	carpet	NOUN
fcis-3734	6	13	model	model	NOUN
fcis-3734	6	14	is	be	AUX
fcis-3734	6	15	established	establish	VERB
fcis-3734	6	16	to	to	PART
fcis-3734	6	17	characterize	characterize	VERB
fcis-3734	6	18	its	its	PRON
fcis-3734	6	19	structures	structure	NOUN
fcis-3734	6	20	.	.	PUNCT
fcis-3734	7	1	the	the	DET
fcis-3734	7	2	calculation	calculation	NOUN
fcis-3734	7	3	model	model	NOUN
fcis-3734	7	4	of	of	ADP
fcis-3734	7	5	the	the	DET
fcis-3734	7	6	average	average	ADJ
fcis-3734	7	7	tortuosity	tortuosity	NOUN
fcis-3734	7	8	of	of	ADP
fcis-3734	7	9	the	the	DET
fcis-3734	7	10	porous	porous	ADJ
fcis-3734	7	11	media	medium	NOUN
fcis-3734	7	12	materials	material	NOUN
fcis-3734	7	13	is	be	AUX
fcis-3734	7	14	derived	derive	VERB
fcis-3734	7	15	by	by	ADP
fcis-3734	7	16	using	use	VERB
fcis-3734	7	17	the	the	DET
fcis-3734	7	18	average	average	ADJ
fcis-3734	7	19	value	value	NOUN
fcis-3734	7	20	of	of	ADP
fcis-3734	7	21	the	the	DET
fcis-3734	7	22	route	route	NOUN
fcis-3734	7	23	of	of	ADP
fcis-3734	7	24	the	the	DET
fcis-3734	7	25	heat	heat	NOUN
fcis-3734	7	26	flow	flow	NOUN
fcis-3734	7	27	through	through	ADP
fcis-3734	7	28	sierpinski	sierpinski	ADJ
fcis-3734	7	29	carpet	carpet	NOUN
fcis-3734	7	30	.	.	PUNCT
fcis-3734	8	1	in	in	ADP
fcis-3734	8	2	order	order	NOUN
fcis-3734	8	3	to	to	PART
fcis-3734	8	4	find	find	VERB
fcis-3734	8	5	the	the	DET
fcis-3734	8	6	best	good	ADJ
fcis-3734	8	7	fractal	fractal	ADJ
fcis-3734	8	8	unit	unit	NOUN
fcis-3734	8	9	structure	structure	NOUN
fcis-3734	8	10	and	and	CCONJ
fcis-3734	8	11	the	the	DET
fcis-3734	8	12	number	number	NOUN
fcis-3734	8	13	of	of	ADP
fcis-3734	8	14	iterations	iteration	NOUN
fcis-3734	8	15	in	in	ADP
fcis-3734	8	16	the	the	DET
fcis-3734	8	17	average	average	ADJ
fcis-3734	8	18	tortuosity	tortuosity	NOUN
fcis-3734	8	19	calculation	calculation	NOUN
fcis-3734	8	20	model	model	NOUN
fcis-3734	8	21	,	,	PUNCT
fcis-3734	8	22	an	an	DET
fcis-3734	8	23	optimization	optimization	NOUN
fcis-3734	8	24	discriminant	discriminant	NOUN
fcis-3734	8	25	model	model	NOUN
fcis-3734	8	26	is	be	AUX
fcis-3734	8	27	established	establish	VERB
fcis-3734	8	28	.	.	PUNCT
fcis-3734	9	1	the	the	DET
fcis-3734	9	2	results	result	NOUN
fcis-3734	9	3	of	of	ADP
fcis-3734	9	4	the	the	DET
fcis-3734	9	5	average	average	ADJ
fcis-3734	9	6	tortuosity	tortuosity	NOUN
fcis-3734	9	7	calculation	calculation	NOUN
fcis-3734	9	8	model	model	NOUN
fcis-3734	9	9	of	of	ADP
fcis-3734	9	10	this	this	DET
fcis-3734	9	11	model	model	NOUN
fcis-3734	9	12	and	and	CCONJ
fcis-3734	9	13	the	the	DET
fcis-3734	9	14	other	other	ADJ
fcis-3734	9	15	three	three	NUM
fcis-3734	9	16	scholars	scholar	NOUN
fcis-3734	9	17	are	be	AUX
fcis-3734	9	18	compared	compare	VERB
fcis-3734	9	19	,	,	PUNCT
fcis-3734	9	20	and	and	CCONJ
fcis-3734	9	21	their	their	PRON
fcis-3734	9	22	average	average	ADJ
fcis-3734	9	23	relative	relative	ADJ
fcis-3734	9	24	errors	error	NOUN
fcis-3734	9	25	are	be	AUX
fcis-3734	9	26	calculated	calculate	VERB
fcis-3734	9	27	to	to	PART
fcis-3734	9	28	be	be	AUX
fcis-3734	9	29	all	all	ADV
fcis-3734	9	30	less	less	ADJ
fcis-3734	9	31	than	than	ADP
fcis-3734	9	32	1	1	NUM
fcis-3734	9	33	%	%	NOUN
fcis-3734	9	34	,	,	PUNCT
fcis-3734	9	35	indicating	indicate	VERB
fcis-3734	9	36	that	that	SCONJ
fcis-3734	9	37	the	the	DET
fcis-3734	9	38	average	average	ADJ
fcis-3734	9	39	tortuosity	tortuosity	NOUN
fcis-3734	9	40	calculation	calculation	NOUN
fcis-3734	9	41	model	model	NOUN
fcis-3734	9	42	established	establish	VERB
fcis-3734	9	43	in	in	ADP
fcis-3734	9	44	this	this	DET
fcis-3734	9	45	study	study	NOUN
fcis-3734	9	46	is	be	AUX
fcis-3734	9	47	effective	effective	ADJ
fcis-3734	9	48	and	and	CCONJ
fcis-3734	9	49	reliable	reliable	ADJ
fcis-3734	9	50	.	.	PUNCT
fcis-3734	10	1	the	the	DET
fcis-3734	10	2	average	average	ADJ
fcis-3734	10	3	tortuosity	tortuosity	NOUN
fcis-3734	10	4	prediction	prediction	NOUN
fcis-3734	10	5	model	model	NOUN
fcis-3734	10	6	is	be	AUX
fcis-3734	10	7	related	relate	VERB
fcis-3734	10	8	to	to	ADP
fcis-3734	10	9	the	the	DET
fcis-3734	10	10	fractal	fractal	ADJ
fcis-3734	10	11	unit	unit	NOUN
fcis-3734	10	12	structure	structure	NOUN
fcis-3734	10	13	and	and	CCONJ
fcis-3734	10	14	stage	stage	NOUN
fcis-3734	10	15	of	of	ADP
fcis-3734	10	16	the	the	DET
fcis-3734	10	17	carpet	carpet	NOUN
fcis-3734	10	18	,	,	PUNCT
fcis-3734	10	19	and	and	CCONJ
fcis-3734	10	20	there	there	PRON
fcis-3734	10	21	is	be	VERB
fcis-3734	10	22	no	no	DET
fcis-3734	10	23	empirical	empirical	ADJ
fcis-3734	10	24	constant	constant	NOUN
fcis-3734	10	25	in	in	ADP
fcis-3734	10	26	this	this	DET
fcis-3734	10	27	model	model	NOUN
fcis-3734	10	28	.	.	PUNCT
fcis-3734	11	1	it	it	PRON
fcis-3734	11	2	can	can	AUX
fcis-3734	11	3	be	be	AUX
fcis-3734	11	4	used	use	VERB
fcis-3734	11	5	to	to	PART
fcis-3734	11	6	calculate	calculate	VERB
fcis-3734	11	7	the	the	DET
fcis-3734	11	8	average	average	ADJ
fcis-3734	11	9	tortuosity	tortuosity	NOUN
fcis-3734	11	10	of	of	ADP
fcis-3734	11	11	other	other	ADJ
fcis-3734	11	12	porous	porous	ADJ
fcis-3734	11	13	media	medium	NOUN
fcis-3734	11	14	materials	material	NOUN
fcis-3734	11	15	,	,	PUNCT
fcis-3734	11	16	providing	provide	VERB
fcis-3734	11	17	a	a	DET
fcis-3734	11	18	new	new	ADJ
fcis-3734	11	19	idea	idea	NOUN
fcis-3734	11	20	for	for	ADP
fcis-3734	11	21	calculating	calculate	VERB
fcis-3734	11	22	the	the	DET
fcis-3734	11	23	average	average	ADJ
fcis-3734	11	24	tortuosity	tortuosity	NOUN
fcis-3734	11	25	.	.	PUNCT
fcis-3734	12	1	keywords	keyword	NOUN
fcis-3734	12	2	:	:	PUNCT
fcis-3734	12	3	average	average	ADJ
fcis-3734	12	4	tortuosity	tortuosity	NOUN
fcis-3734	12	5	;	;	PUNCT
fcis-3734	12	6	sierpinski	sierpinski	ADJ
fcis-3734	12	7	carpet	carpet	NOUN
fcis-3734	12	8	;	;	PUNCT
fcis-3734	12	9	porous	porous	ADJ
fcis-3734	12	10	media	medium	NOUN
fcis-3734	12	11	materials	material	NOUN
fcis-3734	12	12	;	;	PUNCT
fcis-3734	12	13	heat	heat	NOUN
fcis-3734	12	14	flow	flow	NOUN
fcis-3734	12	15	paths	path	NOUN
fcis-3734	12	16	.	.	PUNCT
fcis-3734	13	1	1	1	X
fcis-3734	13	2	.	.	X
fcis-3734	13	3	introduction	introduction	NOUN
fcis-3734	13	4	porous	porous	ADJ
fcis-3734	13	5	media	medium	NOUN
fcis-3734	13	6	materials	material	NOUN
fcis-3734	13	7	with	with	ADP
fcis-3734	13	8	solid	solid	ADJ
fcis-3734	13	9	phase	phase	NOUN
fcis-3734	13	10	as	as	ADP
fcis-3734	13	11	the	the	DET
fcis-3734	13	12	solid	solid	ADJ
fcis-3734	13	13	skeleton	skeleton	NOUN
fcis-3734	13	14	,	,	PUNCT
fcis-3734	13	15	with	with	ADP
fcis-3734	13	16	gas	gas	NOUN
fcis-3734	13	17	or	or	CCONJ
fcis-3734	13	18	liquid	liquid	ADJ
fcis-3734	13	19	or	or	CCONJ
fcis-3734	13	20	gas	gas	NOUN
fcis-3734	13	21	-	-	PUNCT
fcis-3734	13	22	liquid	liquid	ADJ
fcis-3734	13	23	two	two	NUM
fcis-3734	13	24	-	-	PUNCT
fcis-3734	13	25	phase	phase	NOUN
fcis-3734	13	26	for	for	ADP
fcis-3734	13	27	the	the	DET
fcis-3734	13	28	pore	pore	ADJ
fcis-3734	13	29	structure	structure	NOUN
fcis-3734	13	30	,	,	PUNCT
fcis-3734	13	31	and	and	CCONJ
fcis-3734	13	32	its	its	PRON
fcis-3734	13	33	pore	pore	ADJ
fcis-3734	13	34	structure	structure	NOUN
fcis-3734	13	35	is	be	AUX
fcis-3734	13	36	interconnected	interconnected	ADJ
fcis-3734	13	37	and	and	CCONJ
fcis-3734	13	38	complex	complex	ADJ
fcis-3734	13	39	.	.	PUNCT
fcis-3734	14	1	when	when	SCONJ
fcis-3734	14	2	studying	study	VERB
fcis-3734	14	3	the	the	DET
fcis-3734	14	4	permeability	permeability	NOUN
fcis-3734	14	5	,	,	PUNCT
fcis-3734	14	6	electrical	electrical	ADJ
fcis-3734	14	7	conductivity	conductivity	NOUN
fcis-3734	14	8	and	and	CCONJ
fcis-3734	14	9	thermal	thermal	ADJ
fcis-3734	14	10	conductivity	conductivity	NOUN
fcis-3734	14	11	of	of	ADP
fcis-3734	14	12	porous	porous	ADJ
fcis-3734	14	13	media	medium	NOUN
fcis-3734	14	14	materials	material	NOUN
fcis-3734	14	15	,	,	PUNCT
fcis-3734	14	16	it	it	PRON
fcis-3734	14	17	is	be	AUX
fcis-3734	14	18	necessary	necessary	ADJ
fcis-3734	14	19	to	to	PART
fcis-3734	14	20	consider	consider	VERB
fcis-3734	14	21	the	the	DET
fcis-3734	14	22	macroscopic	macroscopic	ADJ
fcis-3734	14	23	transport	transport	NOUN
fcis-3734	14	24	properties	property	NOUN
fcis-3734	14	25	of	of	ADP
fcis-3734	14	26	porous	porous	ADJ
fcis-3734	14	27	media	medium	NOUN
fcis-3734	14	28	in	in	ADP
fcis-3734	14	29	their	their	PRON
fcis-3734	14	30	microstructure	microstructure	NOUN
fcis-3734	15	1	[	[	X
fcis-3734	15	2	1	1	NUM
fcis-3734	15	3	-	-	SYM
fcis-3734	15	4	3	3	NUM
fcis-3734	15	5	]	]	PUNCT
fcis-3734	15	6	.	.	PUNCT
fcis-3734	16	1	for	for	ADP
fcis-3734	16	2	example	example	NOUN
fcis-3734	16	3	,	,	PUNCT
fcis-3734	16	4	in	in	ADP
fcis-3734	16	5	the	the	DET
fcis-3734	16	6	study	study	NOUN
fcis-3734	16	7	of	of	ADP
fcis-3734	16	8	thermal	thermal	ADJ
fcis-3734	16	9	conductivity	conductivity	NOUN
fcis-3734	16	10	of	of	ADP
fcis-3734	16	11	porous	porous	ADJ
fcis-3734	16	12	media	medium	NOUN
fcis-3734	16	13	materials	material	NOUN
fcis-3734	16	14	,	,	PUNCT
fcis-3734	16	15	in	in	ADP
fcis-3734	16	16	addition	addition	NOUN
fcis-3734	16	17	to	to	ADP
fcis-3734	16	18	porosity	porosity	NOUN
fcis-3734	16	19	affects	affect	VERB
fcis-3734	16	20	the	the	DET
fcis-3734	16	21	heat	heat	NOUN
fcis-3734	16	22	transfer	transfer	NOUN
fcis-3734	16	23	inside	inside	ADP
fcis-3734	16	24	the	the	DET
fcis-3734	16	25	porous	porous	ADJ
fcis-3734	16	26	media	medium	NOUN
fcis-3734	16	27	materials	material	NOUN
fcis-3734	16	28	,	,	PUNCT
fcis-3734	16	29	the	the	DET
fcis-3734	16	30	bending	bend	VERB
fcis-3734	16	31	degree	degree	NOUN
fcis-3734	16	32	of	of	ADP
fcis-3734	16	33	the	the	DET
fcis-3734	16	34	pores	pore	NOUN
fcis-3734	16	35	also	also	ADV
fcis-3734	16	36	affects	affect	VERB
fcis-3734	16	37	the	the	DET
fcis-3734	16	38	heat	heat	NOUN
fcis-3734	16	39	transfer	transfer	NOUN
fcis-3734	16	40	process	process	NOUN
fcis-3734	16	41	inside	inside	ADP
fcis-3734	16	42	the	the	DET
fcis-3734	16	43	porous	porous	ADJ
fcis-3734	16	44	media	medium	NOUN
fcis-3734	16	45	materials	material	NOUN
fcis-3734	16	46	.	.	PUNCT
fcis-3734	17	1	because	because	SCONJ
fcis-3734	17	2	of	of	ADP
fcis-3734	17	3	the	the	DET
fcis-3734	17	4	irregular	irregular	ADJ
fcis-3734	17	5	distribution	distribution	NOUN
fcis-3734	17	6	of	of	ADP
fcis-3734	17	7	pores	pore	NOUN
fcis-3734	17	8	and	and	CCONJ
fcis-3734	17	9	skeletons	skeleton	NOUN
fcis-3734	17	10	in	in	ADP
fcis-3734	17	11	porous	porous	ADJ
fcis-3734	17	12	media	medium	NOUN
fcis-3734	17	13	materials	material	NOUN
fcis-3734	17	14	,	,	PUNCT
fcis-3734	17	15	the	the	DET
fcis-3734	17	16	distribution	distribution	NOUN
fcis-3734	17	17	of	of	ADP
fcis-3734	17	18	curved	curved	ADJ
fcis-3734	17	19	pore	pore	ADJ
fcis-3734	17	20	channels	channel	NOUN
fcis-3734	17	21	is	be	AUX
fcis-3734	17	22	uneven	uneven	ADJ
fcis-3734	17	23	and	and	CCONJ
fcis-3734	17	24	complex	complex	ADJ
fcis-3734	17	25	.	.	PUNCT
fcis-3734	18	1	therefore	therefore	ADV
fcis-3734	18	2	,	,	PUNCT
fcis-3734	18	3	the	the	DET
fcis-3734	18	4	tortuosity	tortuosity	NOUN
fcis-3734	18	5	is	be	AUX
fcis-3734	18	6	not	not	PART
fcis-3734	18	7	only	only	ADV
fcis-3734	18	8	a	a	DET
fcis-3734	18	9	parameter	parameter	NOUN
fcis-3734	18	10	to	to	PART
fcis-3734	18	11	describe	describe	VERB
fcis-3734	18	12	the	the	DET
fcis-3734	18	13	bending	bend	VERB
fcis-3734	18	14	degree	degree	NOUN
fcis-3734	18	15	of	of	ADP
fcis-3734	18	16	pore	pore	ADJ
fcis-3734	18	17	channels	channel	NOUN
fcis-3734	18	18	,	,	PUNCT
fcis-3734	18	19	but	but	CCONJ
fcis-3734	18	20	also	also	ADV
fcis-3734	18	21	is	be	AUX
fcis-3734	18	22	one	one	NUM
fcis-3734	18	23	of	of	ADP
fcis-3734	18	24	the	the	DET
fcis-3734	18	25	important	important	ADJ
fcis-3734	18	26	structural	structural	ADJ
fcis-3734	18	27	basic	basic	ADJ
fcis-3734	18	28	parameters	parameter	NOUN
fcis-3734	18	29	of	of	ADP
fcis-3734	18	30	porous	porous	ADJ
fcis-3734	18	31	media	medium	NOUN
fcis-3734	18	32	materials	material	NOUN
fcis-3734	18	33	[	[	X
fcis-3734	18	34	4	4	NUM
fcis-3734	18	35	]	]	PUNCT
fcis-3734	18	36	.	.	PUNCT
fcis-3734	19	1	moreover	moreover	ADV
fcis-3734	19	2	,	,	PUNCT
fcis-3734	19	3	tortuosity	tortuosity	NOUN
fcis-3734	19	4	is	be	AUX
fcis-3734	19	5	also	also	ADV
fcis-3734	19	6	widely	widely	ADV
fcis-3734	19	7	used	use	VERB
fcis-3734	19	8	in	in	ADP
fcis-3734	19	9	energy	energy	NOUN
fcis-3734	19	10	conversion	conversion	NOUN
fcis-3734	19	11	and	and	CCONJ
fcis-3734	19	12	storage	storage	NOUN
fcis-3734	19	13	systems	system	NOUN
fcis-3734	19	14	such	such	ADJ
fcis-3734	19	15	as	as	ADP
fcis-3734	19	16	oil	oil	NOUN
fcis-3734	19	17	exploitation	exploitation	NOUN
fcis-3734	19	18	,	,	PUNCT
fcis-3734	19	19	carbon	carbon	NOUN
fcis-3734	19	20	sequestration	sequestration	NOUN
fcis-3734	19	21	,	,	PUNCT
fcis-3734	19	22	fuel	fuel	NOUN
fcis-3734	19	23	cells	cell	NOUN
fcis-3734	19	24	,	,	PUNCT
fcis-3734	19	25	and	and	CCONJ
fcis-3734	19	26	lithium	lithium	NOUN
fcis-3734	19	27	-	-	PUNCT
fcis-3734	19	28	ion	ion	NOUN
fcis-3734	19	29	batteries	battery	NOUN
fcis-3734	19	30	.	.	PUNCT
fcis-3734	20	1	it	it	PRON
fcis-3734	20	2	is	be	AUX
fcis-3734	20	3	also	also	ADV
fcis-3734	20	4	used	use	VERB
fcis-3734	20	5	as	as	ADP
fcis-3734	20	6	an	an	DET
fcis-3734	20	7	effective	effective	ADJ
fcis-3734	20	8	geometric	geometric	ADJ
fcis-3734	20	9	parameter	parameter	NOUN
fcis-3734	20	10	to	to	PART
fcis-3734	20	11	describe	describe	VERB
fcis-3734	20	12	ion	ion	NOUN
fcis-3734	20	13	transport	transport	NOUN
fcis-3734	20	14	in	in	ADP
fcis-3734	20	15	porous	porous	ADJ
fcis-3734	20	16	material	material	NOUN
fcis-3734	20	17	electrodes	electrode	NOUN
fcis-3734	20	18	[	[	PUNCT
fcis-3734	20	19	5	5	NUM
fcis-3734	20	20	-	-	SYM
fcis-3734	20	21	6	6	NUM
fcis-3734	20	22	]	]	PUNCT
fcis-3734	20	23	and	and	CCONJ
fcis-3734	20	24	an	an	DET
fcis-3734	20	25	important	important	ADJ
fcis-3734	20	26	parameter	parameter	NOUN
fcis-3734	20	27	index	index	NOUN
fcis-3734	20	28	for	for	ADP
fcis-3734	20	29	designing	design	VERB
fcis-3734	20	30	fixed	fix	VERB
fcis-3734	20	31	bed	bed	NOUN
fcis-3734	20	32	reactors	reactor	NOUN
fcis-3734	20	33	[	[	X
fcis-3734	20	34	4	4	NUM
fcis-3734	20	35	]	]	PUNCT
fcis-3734	20	36	.	.	PUNCT
fcis-3734	21	1	at	at	ADP
fcis-3734	21	2	present	present	ADJ
fcis-3734	21	3	,	,	PUNCT
fcis-3734	21	4	the	the	DET
fcis-3734	21	5	methods	method	NOUN
fcis-3734	21	6	of	of	ADP
fcis-3734	21	7	calculating	calculate	VERB
fcis-3734	21	8	tortuosity	tortuosity	NOUN
fcis-3734	21	9	are	be	AUX
fcis-3734	21	10	experimental	experimental	ADJ
fcis-3734	21	11	measurement	measurement	NOUN
fcis-3734	21	12	,	,	PUNCT
fcis-3734	21	13	numerical	numerical	PROPN
fcis-3734	21	14	simulation	simulation	NOUN
fcis-3734	21	15	and	and	CCONJ
fcis-3734	21	16	theoretical	theoretical	ADJ
fcis-3734	21	17	analysis	analysis	NOUN
fcis-3734	21	18	.	.	PUNCT
fcis-3734	22	1	numerical	numerical	PROPN
fcis-3734	22	2	simulation	simulation	PROPN
fcis-3734	22	3	methods	method	NOUN
fcis-3734	22	4	are	be	AUX
fcis-3734	22	5	random	random	ADJ
fcis-3734	22	6	walk	walk	NOUN
fcis-3734	22	7	numerical	numerical	ADJ
fcis-3734	22	8	simulation	simulation	NOUN
fcis-3734	22	9	[	[	X
fcis-3734	22	10	7	7	NUM
fcis-3734	22	11	-	-	SYM
fcis-3734	22	12	8,15	8,15	NUM
fcis-3734	22	13	]	]	PUNCT
fcis-3734	22	14	,	,	PUNCT
fcis-3734	22	15	corrugated	corrugate	VERB
fcis-3734	22	16	pore	pore	ADJ
fcis-3734	22	17	structure	structure	NOUN
fcis-3734	22	18	model	model	NOUN
fcis-3734	22	19	(	(	PUNCT
fcis-3734	22	20	cpsm	cpsm	PROPN
fcis-3734	22	21	)	)	PUNCT
fcis-3734	23	1	[	[	X
fcis-3734	23	2	9	9	NUM
fcis-3734	23	3	-	-	SYM
fcis-3734	23	4	11	11	NUM
fcis-3734	23	5	]	]	PUNCT
fcis-3734	23	6	,	,	PUNCT
fcis-3734	23	7	maximum	maximum	ADJ
fcis-3734	23	8	sphere	sphere	NOUN
fcis-3734	23	9	method	method	NOUN
fcis-3734	23	10	[	[	X
fcis-3734	23	11	12	12	NUM
fcis-3734	23	12	]	]	PUNCT
fcis-3734	23	13	,	,	PUNCT
fcis-3734	23	14	lattice	lattice	PROPN
fcis-3734	23	15	gas	gas	NOUN
fcis-3734	23	16	simulation	simulation	NOUN
fcis-3734	23	17	method	method	NOUN
fcis-3734	23	18	(	(	PUNCT
fcis-3734	23	19	lg	lg	NOUN
fcis-3734	23	20	)	)	PUNCT
fcis-3734	23	21	[	[	X
fcis-3734	23	22	13	13	NUM
fcis-3734	23	23	]	]	PUNCT
fcis-3734	23	24	,	,	PUNCT
fcis-3734	23	25	fluent	fluent	PROPN
fcis-3734	23	26	numerical	numerical	PROPN
fcis-3734	23	27	simulation	simulation	PROPN
fcis-3734	23	28	[	[	X
fcis-3734	23	29	4	4	NUM
fcis-3734	23	30	]	]	PUNCT
fcis-3734	23	31	,	,	PUNCT
fcis-3734	23	32	etc	etc	X
fcis-3734	23	33	.	.	X
fcis-3734	24	1	these	these	DET
fcis-3734	24	2	methods	method	NOUN
fcis-3734	24	3	do	do	AUX
fcis-3734	24	4	n’t	not	PART
fcis-3734	24	5	require	require	VERB
fcis-3734	24	6	too	too	ADV
fcis-3734	24	7	much	much	ADJ
fcis-3734	24	8	theoretical	theoretical	ADJ
fcis-3734	24	9	basis	basis	NOUN
fcis-3734	24	10	and	and	CCONJ
fcis-3734	24	11	they	they	PRON
fcis-3734	24	12	can	can	AUX
fcis-3734	24	13	be	be	AUX
fcis-3734	24	14	calculated	calculate	VERB
fcis-3734	24	15	by	by	ADP
fcis-3734	24	16	software	software	NOUN
fcis-3734	24	17	.	.	PUNCT
fcis-3734	25	1	however	however	ADV
fcis-3734	25	2	,	,	PUNCT
fcis-3734	25	3	these	these	DET
fcis-3734	25	4	methods	method	NOUN
fcis-3734	25	5	usually	usually	ADV
fcis-3734	25	6	have	have	VERB
fcis-3734	25	7	one	one	NUM
fcis-3734	25	8	or	or	CCONJ
fcis-3734	25	9	more	more	ADV
fcis-3734	25	10	empirical	empirical	ADJ
fcis-3734	25	11	constants	constant	NOUN
fcis-3734	25	12	and	and	CCONJ
fcis-3734	25	13	some	some	DET
fcis-3734	25	14	errors	error	NOUN
fcis-3734	25	15	,	,	PUNCT
fcis-3734	25	16	and	and	CCONJ
fcis-3734	25	17	the	the	DET
fcis-3734	25	18	calculation	calculation	NOUN
fcis-3734	25	19	process	process	NOUN
fcis-3734	25	20	is	be	AUX
fcis-3734	25	21	complex	complex	ADJ
fcis-3734	25	22	.	.	PUNCT
fcis-3734	26	1	in	in	ADP
fcis-3734	26	2	order	order	NOUN
fcis-3734	26	3	to	to	PART
fcis-3734	26	4	make	make	VERB
fcis-3734	26	5	the	the	DET
fcis-3734	26	6	calculation	calculation	NOUN
fcis-3734	26	7	simple	simple	NOUN
fcis-3734	26	8	,	,	PUNCT
fcis-3734	26	9	some	some	DET
fcis-3734	26	10	scholars	scholar	NOUN
fcis-3734	26	11	use	use	VERB
fcis-3734	26	12	the	the	DET
fcis-3734	26	13	theoretical	theoretical	ADJ
fcis-3734	26	14	analysis	analysis	NOUN
fcis-3734	26	15	model	model	NOUN
fcis-3734	26	16	to	to	PART
fcis-3734	26	17	calculate	calculate	VERB
fcis-3734	26	18	.	.	PUNCT
fcis-3734	27	1	such	such	ADJ
fcis-3734	27	2	as	as	ADP
fcis-3734	27	3	lanfrey	lanfrey	PROPN
fcis-3734	27	4	et	et	PROPN
fcis-3734	27	5	al	al	PROPN
fcis-3734	27	6	.	.	PUNCT
fcis-3734	28	1	[	[	X
fcis-3734	28	2	16	16	NUM
fcis-3734	28	3	]	]	PUNCT
fcis-3734	28	4	derives	derive	VERB
fcis-3734	28	5	the	the	DET
fcis-3734	28	6	theoretical	theoretical	ADJ
fcis-3734	28	7	model	model	NOUN
fcis-3734	28	8	of	of	ADP
fcis-3734	28	9	the	the	DET
fcis-3734	28	10	tortuosity	tortuosity	NOUN
fcis-3734	28	11	of	of	ADP
fcis-3734	28	12	the	the	DET
fcis-3734	28	13	random	random	ADJ
fcis-3734	28	14	filling	filling	NOUN
fcis-3734	28	15	of	of	ADP
fcis-3734	28	16	the	the	DET
fcis-3734	28	17	same	same	ADJ
fcis-3734	28	18	spherical	spherical	ADJ
fcis-3734	28	19	particles	particle	NOUN
fcis-3734	28	20	,	,	PUNCT
fcis-3734	28	21	which	which	PRON
fcis-3734	28	22	can	can	AUX
fcis-3734	28	23	be	be	AUX
fcis-3734	28	24	used	use	VERB
fcis-3734	28	25	to	to	PART
fcis-3734	28	26	calculate	calculate	VERB
fcis-3734	28	27	the	the	DET
fcis-3734	28	28	tortuosity	tortuosity	NOUN
fcis-3734	28	29	of	of	ADP
fcis-3734	28	30	porous	porous	ADJ
fcis-3734	28	31	media	medium	NOUN
fcis-3734	28	32	materials	material	NOUN
fcis-3734	28	33	with	with	ADP
fcis-3734	28	34	porosity	porosity	NOUN
fcis-3734	28	35	between	between	ADP
fcis-3734	28	36	0.36	0.36	NUM
fcis-3734	28	37	and	and	CCONJ
fcis-3734	28	38	0.45	0.45	NUM
fcis-3734	28	39	.	.	PUNCT
fcis-3734	29	1	however	however	ADV
fcis-3734	29	2	,	,	PUNCT
fcis-3734	29	3	when	when	SCONJ
fcis-3734	29	4	calculating	calculate	VERB
fcis-3734	29	5	materials	material	NOUN
fcis-3734	29	6	with	with	ADP
fcis-3734	29	7	low	low	ADJ
fcis-3734	29	8	porosity	porosity	NOUN
fcis-3734	29	9	or	or	CCONJ
fcis-3734	29	10	high	high	ADJ
fcis-3734	29	11	porosity	porosity	NOUN
fcis-3734	29	12	,	,	PUNCT
fcis-3734	29	13	the	the	DET
fcis-3734	29	14	experimental	experimental	ADJ
fcis-3734	29	15	error	error	NOUN
fcis-3734	29	16	is	be	AUX
fcis-3734	29	17	large	large	ADJ
fcis-3734	29	18	.	.	PUNCT
fcis-3734	30	1	some	some	DET
fcis-3734	30	2	scholars	scholar	NOUN
fcis-3734	30	3	have	have	AUX
fcis-3734	30	4	also	also	ADV
fcis-3734	30	5	studied	study	VERB
fcis-3734	30	6	the	the	DET
fcis-3734	30	7	microstructure	microstructure	NOUN
fcis-3734	30	8	of	of	ADP
fcis-3734	30	9	porous	porous	ADJ
fcis-3734	30	10	media	medium	NOUN
fcis-3734	30	11	materials	material	NOUN
fcis-3734	30	12	based	base	VERB
fcis-3734	30	13	on	on	ADP
fcis-3734	30	14	fractal	fractal	ADJ
fcis-3734	30	15	theory	theory	NOUN
fcis-3734	30	16	.	.	PUNCT
fcis-3734	31	1	for	for	ADP
fcis-3734	31	2	example	example	NOUN
fcis-3734	31	3	,	,	PUNCT
fcis-3734	31	4	yuan	yuan	PROPN
fcis-3734	31	5	pei	pei	PROPN
fcis-3734	31	6	et	et	PROPN
fcis-3734	31	7	al	al	PROPN
fcis-3734	31	8	.	.	PUNCT
fcis-3734	32	1	[	[	X
fcis-3734	32	2	14	14	NUM
fcis-3734	32	3	]	]	PUNCT
fcis-3734	32	4	bases	basis	NOUN
fcis-3734	32	5	on	on	ADP
fcis-3734	32	6	the	the	DET
fcis-3734	32	7	accurate	accurate	ADJ
fcis-3734	32	8	self	self	NOUN
fcis-3734	32	9	-	-	PUNCT
fcis-3734	32	10	similar	similar	ADJ
fcis-3734	32	11	sierpinski	sierpinski	ADJ
fcis-3734	32	12	carpet	carpet	NOUN
fcis-3734	32	13	model	model	NOUN
fcis-3734	32	14	,	,	PUNCT
fcis-3734	32	15	which	which	PRON
fcis-3734	32	16	can	can	AUX
fcis-3734	32	17	be	be	AUX
fcis-3734	32	18	used	use	VERB
fcis-3734	32	19	to	to	PART
fcis-3734	32	20	calculate	calculate	VERB
fcis-3734	32	21	the	the	DET
fcis-3734	32	22	tortuosity	tortuosity	NOUN
fcis-3734	32	23	of	of	ADP
fcis-3734	32	24	porous	porous	ADJ
fcis-3734	32	25	media	medium	NOUN
fcis-3734	32	26	materials	material	NOUN
fcis-3734	32	27	with	with	ADP
fcis-3734	32	28	porosity	porosity	NOUN
fcis-3734	32	29	between	between	ADP
fcis-3734	32	30	0.75	0.75	NUM
fcis-3734	32	31	-	-	SYM
fcis-3734	32	32	1	1	NUM
fcis-3734	32	33	.	.	PUNCT
fcis-3734	33	1	similarly	similarly	ADV
fcis-3734	33	2	,	,	PUNCT
fcis-3734	33	3	du	du	PROPN
fcis-3734	33	4	et	et	PROPN
fcis-3734	33	5	al	al	PROPN
fcis-3734	33	6	.	.	PUNCT
fcis-3734	34	1	[	[	X
fcis-3734	34	2	4	4	X
fcis-3734	34	3	]	]	PUNCT
fcis-3734	34	4	obtains	obtain	VERB
fcis-3734	34	5	the	the	DET
fcis-3734	34	6	relationship	relationship	NOUN
fcis-3734	34	7	between	between	ADP
fcis-3734	34	8	tortuosity	tortuosity	NOUN
fcis-3734	34	9	and	and	CCONJ
fcis-3734	34	10	porosity	porosity	NOUN
fcis-3734	34	11	by	by	ADP
fcis-3734	34	12	changing	change	VERB
fcis-3734	34	13	the	the	DET
fcis-3734	34	14	geometric	geometric	ADJ
fcis-3734	34	15	shape	shape	NOUN
fcis-3734	34	16	of	of	ADP
fcis-3734	34	17	the	the	DET
fcis-3734	34	18	regular	regular	ADJ
fcis-3734	34	19	polygon	polygon	NOUN
fcis-3734	34	20	solid	solid	ADJ
fcis-3734	34	21	matrix	matrix	NOUN
fcis-3734	34	22	in	in	ADP
fcis-3734	34	23	the	the	DET
fcis-3734	34	24	sierpinski	sierpinski	ADJ
fcis-3734	34	25	carpet	carpet	NOUN
fcis-3734	34	26	.	.	PUNCT
fcis-3734	35	1	the	the	DET
fcis-3734	35	2	results	result	NOUN
fcis-3734	35	3	are	be	AUX
fcis-3734	35	4	not	not	PART
fcis-3734	35	5	much	much	ADV
fcis-3734	35	6	different	different	ADJ
fcis-3734	35	7	from	from	ADP
fcis-3734	35	8	the	the	DET
fcis-3734	35	9	fluent	fluent	PROPN
fcis-3734	35	10	numerical	numerical	PROPN
fcis-3734	35	11	simulation	simulation	PROPN
fcis-3734	35	12	results	result	VERB
fcis-3734	35	13	.	.	PUNCT
fcis-3734	36	1	however	however	ADV
fcis-3734	36	2	,	,	PUNCT
fcis-3734	36	3	when	when	SCONJ
fcis-3734	36	4	the	the	DET
fcis-3734	36	5	number	number	NOUN
fcis-3734	36	6	of	of	ADP
fcis-3734	36	7	regular	regular	ADJ
fcis-3734	36	8	polygon	polygon	NOUN
fcis-3734	36	9	edges	edge	NOUN
fcis-3734	36	10	increases	increase	NOUN
fcis-3734	36	11	,	,	PUNCT
fcis-3734	36	12	the	the	DET
fcis-3734	36	13	tortuosity	tortuosity	NOUN
fcis-3734	36	14	does	do	AUX
fcis-3734	36	15	not	not	PART
fcis-3734	36	16	change	change	VERB
fcis-3734	36	17	much	much	ADV
fcis-3734	36	18	,	,	PUNCT
fcis-3734	36	19	and	and	CCONJ
fcis-3734	36	20	only	only	ADV
fcis-3734	36	21	the	the	DET
fcis-3734	36	22	tortuosity	tortuosity	NOUN
fcis-3734	36	23	of	of	ADP
fcis-3734	36	24	porous	porous	ADJ
fcis-3734	36	25	media	medium	NOUN
fcis-3734	36	26	materials	material	NOUN
fcis-3734	36	27	with	with	ADP
fcis-3734	36	28	porosity	porosity	NOUN
fcis-3734	36	29	below	below	ADP
fcis-3734	36	30	0.9	0.9	NUM
fcis-3734	36	31	can	can	AUX
fcis-3734	36	32	be	be	AUX
fcis-3734	36	33	calculated	calculate	VERB
fcis-3734	36	34	.	.	PUNCT
fcis-3734	37	1	however	however	ADV
fcis-3734	37	2	,	,	PUNCT
fcis-3734	37	3	the	the	DET
fcis-3734	37	4	above	above	ADJ
fcis-3734	37	5	scholars	scholar	NOUN
fcis-3734	37	6	are	be	AUX
fcis-3734	37	7	based	base	VERB
fcis-3734	37	8	on	on	ADP
fcis-3734	37	9	the	the	DET
fcis-3734	37	10	sierpinski	sierpinski	ADJ
fcis-3734	37	11	carpet	carpet	NOUN
fcis-3734	37	12	with	with	ADP
fcis-3734	37	13	a	a	DET
fcis-3734	37	14	fractal	fractal	ADJ
fcis-3734	37	15	unit	unit	NOUN
fcis-3734	37	16	of	of	ADP
fcis-3734	37	17	3	3	NUM
fcis-3734	37	18	3	3	NUM
fcis-3734	37	19	to	to	PART
fcis-3734	37	20	establish	establish	VERB
fcis-3734	37	21	the	the	DET
fcis-3734	37	22	tortuosity	tortuosity	NOUN
fcis-3734	37	23	calculation	calculation	NOUN
fcis-3734	37	24	model	model	NOUN
fcis-3734	37	25	,	,	PUNCT
fcis-3734	37	26	which	which	PRON
fcis-3734	37	27	is	be	AUX
fcis-3734	37	28	not	not	PART
fcis-3734	37	29	friendly	friendly	ADJ
fcis-3734	37	30	to	to	ADP
fcis-3734	37	31	the	the	DET
fcis-3734	37	32	calculation	calculation	NOUN
fcis-3734	37	33	of	of	ADP
fcis-3734	37	34	the	the	DET
fcis-3734	37	35	tortuosity	tortuosity	NOUN
fcis-3734	37	36	of	of	ADP
fcis-3734	37	37	porous	porous	ADJ
fcis-3734	37	38	media	medium	NOUN
fcis-3734	37	39	materials	material	NOUN
fcis-3734	37	40	with	with	ADP
fcis-3734	37	41	high	high	ADJ
fcis-3734	37	42	porosity	porosity	NOUN
fcis-3734	37	43	.	.	PUNCT
fcis-3734	38	1	porous	porous	ADJ
fcis-3734	38	2	media	medium	NOUN
fcis-3734	38	3	materials	material	NOUN
fcis-3734	38	4	with	with	ADP
fcis-3734	38	5	different	different	ADJ
fcis-3734	38	6	porosity	porosity	NOUN
fcis-3734	38	7	can	can	AUX
fcis-3734	38	8	be	be	AUX
fcis-3734	38	9	characterized	characterize	VERB
fcis-3734	38	10	by	by	ADP
fcis-3734	38	11	different	different	ADJ
fcis-3734	38	12	fractal	fractal	ADJ
fcis-3734	38	13	unit	unit	NOUN
fcis-3734	38	14	structures	structure	NOUN
fcis-3734	38	15	.	.	PUNCT
fcis-3734	39	1	so	so	ADV
fcis-3734	39	2	finding	find	VERB
fcis-3734	39	3	the	the	DET
fcis-3734	39	4	best	good	ADJ
fcis-3734	39	5	fractal	fractal	ADJ
fcis-3734	39	6	unit	unit	NOUN
fcis-3734	39	7	structure	structure	NOUN
fcis-3734	39	8	is	be	AUX
fcis-3734	39	9	what	what	PRON
fcis-3734	39	10	this	this	DET
fcis-3734	39	11	paper	paper	NOUN
fcis-3734	39	12	needs	need	VERB
fcis-3734	39	13	to	to	PART
fcis-3734	39	14	consider	consider	VERB
fcis-3734	39	15	.	.	PUNCT
fcis-3734	40	1	basing	base	VERB
fcis-3734	40	2	on	on	ADP
fcis-3734	40	3	the	the	DET
fcis-3734	40	4	previous	previous	ADJ
fcis-3734	40	5	theoretical	theoretical	ADJ
fcis-3734	40	6	research	research	NOUN
fcis-3734	40	7	and	and	CCONJ
fcis-3734	40	8	considering	consider	VERB
fcis-3734	40	9	7	7	NUM
fcis-3734	40	10	the	the	DET
fcis-3734	40	11	porosity	porosity	NOUN
fcis-3734	40	12	of	of	ADP
fcis-3734	40	13	porous	porous	ADJ
fcis-3734	40	14	media	medium	NOUN
fcis-3734	40	15	is	be	AUX
fcis-3734	40	16	different	different	ADJ
fcis-3734	40	17	.	.	PUNCT
fcis-3734	41	1	since	since	SCONJ
fcis-3734	41	2	sierpinski	sierpinski	ADJ
fcis-3734	41	3	carpet	carpet	NOUN
fcis-3734	41	4	is	be	AUX
fcis-3734	41	5	used	use	VERB
fcis-3734	41	6	to	to	PART
fcis-3734	41	7	characterize	characterize	VERB
fcis-3734	41	8	its	its	PRON
fcis-3734	41	9	internal	internal	ADJ
fcis-3734	41	10	microstructure	microstructure	NOUN
fcis-3734	41	11	,	,	PUNCT
fcis-3734	41	12	its	its	PRON
fcis-3734	41	13	fractal	fractal	ADJ
fcis-3734	41	14	unit	unit	NOUN
fcis-3734	41	15	structure	structure	NOUN
fcis-3734	41	16	should	should	AUX
fcis-3734	41	17	not	not	PART
fcis-3734	41	18	be	be	AUX
fcis-3734	41	19	static	static	ADJ
fcis-3734	41	20	.	.	PUNCT
fcis-3734	42	1	therefore	therefore	ADV
fcis-3734	42	2	,	,	PUNCT
fcis-3734	42	3	in	in	ADP
fcis-3734	42	4	order	order	NOUN
fcis-3734	42	5	to	to	PART
fcis-3734	42	6	calculate	calculate	VERB
fcis-3734	42	7	the	the	DET
fcis-3734	42	8	average	average	ADJ
fcis-3734	42	9	tortuosity	tortuosity	NOUN
fcis-3734	42	10	of	of	ADP
fcis-3734	42	11	aerogels	aerogel	NOUN
fcis-3734	42	12	or	or	CCONJ
fcis-3734	42	13	porous	porous	ADJ
fcis-3734	42	14	media	medium	NOUN
fcis-3734	42	15	materials	material	NOUN
fcis-3734	42	16	suitable	suitable	ADJ
fcis-3734	42	17	for	for	ADP
fcis-3734	42	18	various	various	ADJ
fcis-3734	42	19	porosities	porosity	NOUN
fcis-3734	42	20	,	,	PUNCT
fcis-3734	42	21	this	this	DET
fcis-3734	42	22	paper	paper	NOUN
fcis-3734	42	23	is	be	AUX
fcis-3734	42	24	based	base	VERB
fcis-3734	42	25	on	on	ADP
fcis-3734	42	26	the	the	DET
fcis-3734	42	27	average	average	ADJ
fcis-3734	42	28	tortuosity	tortuosity	NOUN
fcis-3734	42	29	calculation	calculation	NOUN
fcis-3734	42	30	model	model	NOUN
fcis-3734	42	31	of	of	ADP
fcis-3734	42	32	sierpinski	sierpinski	ADJ
fcis-3734	42	33	carpet	carpet	NOUN
fcis-3734	42	34	with	with	ADP
fcis-3734	42	35	self	self	NOUN
fcis-3734	42	36	-	-	PUNCT
fcis-3734	42	37	similar	similar	ADJ
fcis-3734	42	38	3	3	NUM
fcis-3734	42	39	3	3	NUM
fcis-3734	42	40	of	of	ADP
fcis-3734	42	41	li	li	PROPN
fcis-3734	42	42	jianhua	jianhua	PROPN
fcis-3734	42	43	et	et	PROPN
fcis-3734	42	44	al	al	PROPN
fcis-3734	42	45	.	.	PUNCT
fcis-3734	43	1	[	[	X
fcis-3734	43	2	17	17	NUM
fcis-3734	43	3	]	]	PUNCT
fcis-3734	43	4	.	.	PUNCT
fcis-3734	44	1	the	the	DET
fcis-3734	44	2	average	average	ADJ
fcis-3734	44	3	tortuosity	tortuosity	NOUN
fcis-3734	44	4	calculation	calculation	NOUN
fcis-3734	44	5	model	model	NOUN
fcis-3734	44	6	of	of	ADP
fcis-3734	44	7	sierpinski	sierpinski	ADJ
fcis-3734	44	8	carpet	carpet	NOUN
fcis-3734	44	9	with	with	ADP
fcis-3734	44	10	fractal	fractal	ADJ
fcis-3734	44	11	unit	unit	NOUN
fcis-3734	44	12	structure	structure	NOUN
fcis-3734	44	13	of	of	ADP
fcis-3734	44	14	k	k	PROPN
fcis-3734	44	15	k	k	PROPN
fcis-3734	44	16	is	be	AUX
fcis-3734	44	17	derived	derive	VERB
fcis-3734	44	18	.	.	PUNCT
fcis-3734	45	1	the	the	DET
fcis-3734	45	2	optimal	optimal	ADJ
fcis-3734	45	3	fractal	fractal	ADJ
fcis-3734	45	4	unit	unit	NOUN
fcis-3734	45	5	structure	structure	NOUN
fcis-3734	45	6	and	and	CCONJ
fcis-3734	45	7	stage	stage	NOUN
fcis-3734	45	8	of	of	ADP
fcis-3734	45	9	porous	porous	ADJ
fcis-3734	45	10	media	medium	NOUN
fcis-3734	45	11	materials	material	NOUN
fcis-3734	45	12	are	be	AUX
fcis-3734	45	13	found	find	VERB
fcis-3734	45	14	to	to	PART
fcis-3734	45	15	determine	determine	VERB
fcis-3734	45	16	the	the	DET
fcis-3734	45	17	average	average	ADJ
fcis-3734	45	18	tortuosity	tortuosity	NOUN
fcis-3734	45	19	calculation	calculation	NOUN
fcis-3734	45	20	model	model	NOUN
fcis-3734	45	21	.	.	PUNCT
fcis-3734	46	1	this	this	DET
fcis-3734	46	2	study	study	NOUN
fcis-3734	46	3	provides	provide	VERB
fcis-3734	46	4	a	a	DET
fcis-3734	46	5	new	new	ADJ
fcis-3734	46	6	idea	idea	NOUN
fcis-3734	46	7	for	for	ADP
fcis-3734	46	8	calculating	calculate	VERB
fcis-3734	46	9	the	the	DET
fcis-3734	46	10	average	average	ADJ
fcis-3734	46	11	tortuosity	tortuosity	NOUN
fcis-3734	46	12	of	of	ADP
fcis-3734	46	13	porous	porous	ADJ
fcis-3734	46	14	media	medium	NOUN
fcis-3734	46	15	materials	material	NOUN
fcis-3734	46	16	with	with	ADP
fcis-3734	46	17	high	high	ADJ
fcis-3734	46	18	porosity	porosity	NOUN
fcis-3734	46	19	.	.	PUNCT
fcis-3734	47	1	2	2	X
fcis-3734	47	2	.	.	PUNCT
fcis-3734	47	3	establish	establish	VERB
fcis-3734	47	4	an	an	DET
fcis-3734	47	5	average	average	ADJ
fcis-3734	47	6	tortuosity	tortuosity	NOUN
fcis-3734	47	7	model	model	NOUN
fcis-3734	47	8	2.1	2.1	NUM
fcis-3734	47	9	.	.	PUNCT
fcis-3734	48	1	sierpinski	sierpinski	ADJ
fcis-3734	48	2	carpet	carpet	NOUN
fcis-3734	48	3	fractal	fractal	ADJ
fcis-3734	48	4	process	process	NOUN
fcis-3734	48	5	of	of	ADP
fcis-3734	48	6	different	different	ADJ
fcis-3734	48	7	fractal	fractal	ADJ
fcis-3734	48	8	units	unit	NOUN
fcis-3734	48	9	since	since	SCONJ
fcis-3734	48	10	the	the	DET
fcis-3734	48	11	internal	internal	ADJ
fcis-3734	48	12	pores	pore	NOUN
fcis-3734	48	13	of	of	ADP
fcis-3734	48	14	porous	porous	ADJ
fcis-3734	48	15	media	medium	NOUN
fcis-3734	48	16	materials	material	NOUN
fcis-3734	48	17	are	be	AUX
fcis-3734	48	18	disordered	disorder	VERB
fcis-3734	48	19	and	and	CCONJ
fcis-3734	48	20	complex	complex	ADJ
fcis-3734	48	21	,	,	PUNCT
fcis-3734	48	22	sierpinski	sierpinski	ADJ
fcis-3734	48	23	carpet	carpet	NOUN
fcis-3734	48	24	can	can	AUX
fcis-3734	48	25	be	be	AUX
fcis-3734	48	26	used	use	VERB
fcis-3734	48	27	to	to	PART
fcis-3734	48	28	simulate	simulate	VERB
fcis-3734	48	29	it	it	PRON
fcis-3734	48	30	.	.	PUNCT
fcis-3734	49	1	changing	change	VERB
fcis-3734	49	2	the	the	DET
fcis-3734	49	3	fractal	fractal	ADJ
fcis-3734	49	4	unit	unit	NOUN
fcis-3734	49	5	structure	structure	NOUN
fcis-3734	49	6	of	of	ADP
fcis-3734	49	7	sierpinski	sierpinski	ADJ
fcis-3734	49	8	carpet	carpet	NOUN
fcis-3734	49	9	can	can	AUX
fcis-3734	49	10	better	well	ADV
fcis-3734	49	11	characterize	characterize	VERB
fcis-3734	49	12	its	its	PRON
fcis-3734	49	13	internal	internal	ADJ
fcis-3734	49	14	structure	structure	NOUN
fcis-3734	49	15	.	.	PUNCT
fcis-3734	50	1	at	at	ADP
fcis-3734	50	2	present	present	ADJ
fcis-3734	50	3	,	,	PUNCT
fcis-3734	50	4	the	the	DET
fcis-3734	50	5	most	most	ADV
fcis-3734	50	6	basic	basic	ADJ
fcis-3734	50	7	sierpinski	sierpinski	ADJ
fcis-3734	50	8	carpet	carpet	NOUN
fcis-3734	50	9	is	be	AUX
fcis-3734	50	10	composed	compose	VERB
fcis-3734	50	11	of	of	ADP
fcis-3734	50	12	3	3	NUM
fcis-3734	50	13	3	3	NUM
fcis-3734	50	14	fractal	fractal	ADJ
fcis-3734	50	15	unit	unit	NOUN
fcis-3734	50	16	structure	structure	NOUN
fcis-3734	50	17	.	.	PUNCT
fcis-3734	51	1	however	however	ADV
fcis-3734	51	2	,	,	PUNCT
fcis-3734	51	3	since	since	SCONJ
fcis-3734	51	4	the	the	DET
fcis-3734	51	5	sierpinski	sierpinski	ADJ
fcis-3734	51	6	carpet	carpet	NOUN
fcis-3734	51	7	with	with	ADP
fcis-3734	51	8	fractal	fractal	ADJ
fcis-3734	51	9	unit	unit	NOUN
fcis-3734	51	10	structure	structure	NOUN
fcis-3734	51	11	of	of	ADP
fcis-3734	51	12	3	3	NUM
fcis-3734	51	13	3	3	NUM
fcis-3734	51	14	is	be	AUX
fcis-3734	51	15	not	not	PART
fcis-3734	51	16	suitable	suitable	ADJ
fcis-3734	51	17	for	for	ADP
fcis-3734	51	18	characterizing	characterize	VERB
fcis-3734	51	19	porous	porous	ADJ
fcis-3734	51	20	media	medium	NOUN
fcis-3734	51	21	materials	material	NOUN
fcis-3734	51	22	with	with	ADP
fcis-3734	51	23	high	high	ADJ
fcis-3734	51	24	porosity	porosity	NOUN
fcis-3734	51	25	,	,	PUNCT
fcis-3734	51	26	its	its	PRON
fcis-3734	51	27	maximum	maximum	ADJ
fcis-3734	51	28	porosity	porosity	NOUN
fcis-3734	51	29	is	be	AUX
fcis-3734	51	30	only	only	ADV
fcis-3734	51	31	0.8889	0.8889	NUM
fcis-3734	51	32	.	.	PUNCT
fcis-3734	52	1	in	in	ADP
fcis-3734	52	2	order	order	NOUN
fcis-3734	52	3	to	to	PART
fcis-3734	52	4	find	find	VERB
fcis-3734	52	5	the	the	DET
fcis-3734	52	6	average	average	ADJ
fcis-3734	52	7	tortuosity	tortuosity	NOUN
fcis-3734	52	8	calculation	calculation	NOUN
fcis-3734	52	9	model	model	NOUN
fcis-3734	52	10	suitable	suitable	ADJ
fcis-3734	52	11	for	for	ADP
fcis-3734	52	12	porous	porous	ADJ
fcis-3734	52	13	media	medium	NOUN
fcis-3734	52	14	materials	material	NOUN
fcis-3734	52	15	with	with	ADP
fcis-3734	52	16	high	high	ADJ
fcis-3734	52	17	porosity	porosity	NOUN
fcis-3734	52	18	,	,	PUNCT
fcis-3734	52	19	this	this	DET
fcis-3734	52	20	paper	paper	NOUN
fcis-3734	52	21	further	far	ADV
fcis-3734	52	22	extends	extend	VERB
fcis-3734	52	23	the	the	DET
fcis-3734	52	24	sierpinski	sierpinski	ADJ
fcis-3734	52	25	carpet	carpet	NOUN
fcis-3734	52	26	based	base	VERB
fcis-3734	52	27	on	on	ADP
fcis-3734	52	28	3	3	NUM
fcis-3734	52	29	3	3	NUM
fcis-3734	52	30	fractal	fractal	ADJ
fcis-3734	52	31	unit	unit	NOUN
fcis-3734	52	32	structure	structure	NOUN
fcis-3734	52	33	.	.	PUNCT
fcis-3734	53	1	and	and	CCONJ
fcis-3734	53	2	we	we	PRON
fcis-3734	53	3	are	be	AUX
fcis-3734	53	4	used	use	VERB
fcis-3734	53	5	to	to	ADP
fcis-3734	53	6	the	the	DET
fcis-3734	53	7	sierpinski	sierpinski	ADJ
fcis-3734	53	8	carpet	carpet	NOUN
fcis-3734	53	9	composed	compose	VERB
fcis-3734	53	10	of	of	ADP
fcis-3734	53	11	k	k	PROPN
fcis-3734	53	12	k	k	PROPN
fcis-3734	53	13	fractal	fractal	ADJ
fcis-3734	53	14	unit	unit	NOUN
fcis-3734	53	15	structure	structure	NOUN
fcis-3734	53	16	to	to	PART
fcis-3734	53	17	characterize	characterize	VERB
fcis-3734	53	18	porous	porous	ADJ
fcis-3734	53	19	media	medium	NOUN
fcis-3734	53	20	materials	material	NOUN
fcis-3734	53	21	.	.	PUNCT
fcis-3734	54	1	moreover	moreover	ADV
fcis-3734	54	2	,	,	PUNCT
fcis-3734	54	3	because	because	SCONJ
fcis-3734	54	4	of	of	ADP
fcis-3734	54	5	the	the	DET
fcis-3734	54	6	diversity	diversity	NOUN
fcis-3734	54	7	of	of	ADP
fcis-3734	54	8	sierpinski	sierpinski	ADJ
fcis-3734	54	9	carpets	carpet	NOUN
fcis-3734	54	10	composed	compose	VERB
fcis-3734	54	11	of	of	ADP
fcis-3734	54	12	even	even	ADV
fcis-3734	54	13	fractal	fractal	ADJ
fcis-3734	54	14	units	unit	NOUN
fcis-3734	54	15	,	,	PUNCT
fcis-3734	54	16	this	this	DET
fcis-3734	54	17	paper	paper	NOUN
fcis-3734	54	18	only	only	ADV
fcis-3734	54	19	considers	consider	VERB
fcis-3734	54	20	sierpinski	sierpinski	ADJ
fcis-3734	54	21	carpets	carpet	NOUN
fcis-3734	54	22	composed	compose	VERB
fcis-3734	54	23	of	of	ADP
fcis-3734	54	24	odd	odd	ADJ
fcis-3734	54	25	fractal	fractal	ADJ
fcis-3734	54	26	units	unit	NOUN
fcis-3734	54	27	.	.	PUNCT
fcis-3734	55	1	when	when	SCONJ
fcis-3734	55	2	1k	1k	PROPN
fcis-3734	55	3			PROPN
fcis-3734	55	4	is	be	AUX
fcis-3734	55	5	a	a	DET
fcis-3734	55	6	positive	positive	ADJ
fcis-3734	55	7	integer	integer	NOUN
fcis-3734	55	8	and	and	CCONJ
fcis-3734	55	9	odd	odd	ADJ
fcis-3734	55	10	,	,	PUNCT
fcis-3734	55	11	the	the	DET
fcis-3734	55	12	sierpinski	sierpinski	ADJ
fcis-3734	55	13	carpet	carpet	NOUN
fcis-3734	55	14	with	with	ADP
fcis-3734	55	15	the	the	DET
fcis-3734	55	16	fractal	fractal	ADJ
fcis-3734	55	17	unit	unit	NOUN
fcis-3734	55	18	structure	structure	NOUN
fcis-3734	55	19	k	k	PROPN
fcis-3734	55	20	k	k	PROPN
fcis-3734	55	21	starts	start	VERB
fcis-3734	55	22	as	as	ADP
fcis-3734	55	23	a	a	DET
fcis-3734	55	24	square	square	NOUN
fcis-3734	55	25	with	with	ADP
fcis-3734	55	26	a	a	DET
fcis-3734	55	27	side	side	NOUN
fcis-3734	55	28	length	length	NOUN
fcis-3734	55	29	of	of	ADP
fcis-3734	55	30	1	1	NUM
fcis-3734	55	31	.	.	PUNCT
fcis-3734	56	1	in	in	ADP
fcis-3734	56	2	the	the	DET
fcis-3734	56	3	first	first	ADJ
fcis-3734	56	4	iteration	iteration	NOUN
fcis-3734	56	5	,	,	PUNCT
fcis-3734	56	6	a	a	DET
fcis-3734	56	7	square	square	NOUN
fcis-3734	56	8	with	with	ADP
fcis-3734	56	9	a	a	DET
fcis-3734	56	10	side	side	NOUN
fcis-3734	56	11	length	length	NOUN
fcis-3734	56	12	of	of	ADP
fcis-3734	56	13	1/	1/	NUM
fcis-3734	56	14	k	k	PROPN
fcis-3734	56	15	is	be	AUX
fcis-3734	56	16	removed	remove	VERB
fcis-3734	56	17	from	from	ADP
fcis-3734	56	18	the	the	DET
fcis-3734	56	19	center	center	NOUN
fcis-3734	56	20	of	of	ADP
fcis-3734	56	21	the	the	DET
fcis-3734	56	22	square	square	NOUN
fcis-3734	56	23	with	with	ADP
fcis-3734	56	24	a	a	DET
fcis-3734	56	25	side	side	NOUN
fcis-3734	56	26	length	length	NOUN
fcis-3734	56	27	of	of	ADP
fcis-3734	56	28	1	1	NUM
fcis-3734	56	29	.	.	PUNCT
fcis-3734	57	1	in	in	ADP
fcis-3734	57	2	the	the	DET
fcis-3734	57	3	second	second	ADJ
fcis-3734	57	4	iteration	iteration	NOUN
fcis-3734	57	5	,	,	PUNCT
fcis-3734	57	6	the	the	DET
fcis-3734	57	7	remaining	remain	VERB
fcis-3734	57	8	2	2	NUM
fcis-3734	57	9	1k	1k	NUM
fcis-3734	57	10	−	−	NOUN
fcis-3734	57	11	sub	sub	ADJ
fcis-3734	57	12	-	-	ADJ
fcis-3734	57	13	square	square	ADJ
fcis-3734	57	14	shapes	shape	NOUN
fcis-3734	57	15	with	with	ADP
fcis-3734	57	16	a	a	DET
fcis-3734	57	17	side	side	NOUN
fcis-3734	57	18	length	length	NOUN
fcis-3734	57	19	of	of	ADP
fcis-3734	57	20	1/	1/	NUM
fcis-3734	57	21	k	k	NOUN
fcis-3734	57	22	are	be	AUX
fcis-3734	57	23	removed	remove	VERB
fcis-3734	57	24	from	from	ADP
fcis-3734	57	25	their	their	PRON
fcis-3734	57	26	central	central	ADJ
fcis-3734	57	27	2(1/	2(1/	NUM
fcis-3734	57	28	)	)	PUNCT
fcis-3734	58	1	k	k	PROPN
fcis-3734	58	2	sub	sub	NOUN
fcis-3734	58	3	-	-	NOUN
fcis-3734	58	4	squares	square	NOUN
fcis-3734	58	5	as	as	ADP
fcis-3734	58	6	in	in	ADP
fcis-3734	58	7	the	the	DET
fcis-3734	58	8	first	first	ADJ
fcis-3734	58	9	iteration	iteration	NOUN
fcis-3734	58	10	.	.	PUNCT
fcis-3734	59	1	therefore	therefore	ADV
fcis-3734	59	2	,	,	PUNCT
fcis-3734	59	3	the	the	DET
fcis-3734	59	4	schematic	schematic	ADJ
fcis-3734	59	5	diagram	diagram	NOUN
fcis-3734	59	6	of	of	ADP
fcis-3734	59	7	the	the	DET
fcis-3734	59	8	sierpinski	sierpinski	ADJ
fcis-3734	59	9	carpet	carpet	NOUN
fcis-3734	59	10	with	with	ADP
fcis-3734	59	11	the	the	DET
fcis-3734	59	12	fractal	fractal	ADJ
fcis-3734	59	13	unit	unit	NOUN
fcis-3734	59	14	structure	structure	NOUN
fcis-3734	59	15	k	k	PROPN
fcis-3734	59	16	k	k	PROPN
fcis-3734	59	17	is	be	AUX
fcis-3734	59	18	as	as	SCONJ
fcis-3734	59	19	follows	follow	VERB
fcis-3734	59	20	.	.	PUNCT
fcis-3734	60	1	the	the	DET
fcis-3734	60	2	black	black	ADJ
fcis-3734	60	3	area	area	NOUN
fcis-3734	60	4	represents	represent	VERB
fcis-3734	60	5	the	the	DET
fcis-3734	60	6	solid	solid	ADJ
fcis-3734	60	7	phase	phase	NOUN
fcis-3734	60	8	(	(	PUNCT
fcis-3734	60	9	porous	porous	ADJ
fcis-3734	60	10	material	material	NOUN
fcis-3734	60	11	skeleton	skeleton	NOUN
fcis-3734	60	12	)	)	PUNCT
fcis-3734	60	13	area	area	NOUN
fcis-3734	60	14	,	,	PUNCT
fcis-3734	60	15	and	and	CCONJ
fcis-3734	60	16	the	the	DET
fcis-3734	60	17	blank	blank	ADJ
fcis-3734	60	18	area	area	NOUN
fcis-3734	60	19	represents	represent	VERB
fcis-3734	60	20	the	the	DET
fcis-3734	60	21	gas	gas	NOUN
fcis-3734	60	22	phase	phase	NOUN
fcis-3734	60	23	(	(	PUNCT
fcis-3734	60	24	pore	pore	ADJ
fcis-3734	60	25	)	)	PUNCT
fcis-3734	60	26	area	area	NOUN
fcis-3734	60	27	.	.	PUNCT
fcis-3734	61	1	fig	fig	NOUN
fcis-3734	61	2	.	.	PUNCT
fcis-3734	62	1	1	1	NUM
fcis-3734	62	2	sierpinski	sierpinski	ADJ
fcis-3734	62	3	carpet	carpet	NOUN
fcis-3734	62	4	with	with	ADP
fcis-3734	62	5	fractal	fractal	ADJ
fcis-3734	62	6	unit	unit	NOUN
fcis-3734	62	7	of	of	ADP
fcis-3734	62	8	k	k	PROPN
fcis-3734	62	9	k	k	PROPN
fcis-3734	62	10	.	.	PUNCT
fcis-3734	63	1	figure	figure	NOUN
fcis-3734	63	2	1	1	NUM
fcis-3734	63	3	(	(	PUNCT
fcis-3734	63	4	a	a	NOUN
fcis-3734	63	5	)	)	PUNCT
fcis-3734	63	6	is	be	AUX
fcis-3734	63	7	the	the	DET
fcis-3734	63	8	basic	basic	ADJ
fcis-3734	63	9	fractal	fractal	ADJ
fcis-3734	63	10	unit	unit	NOUN
fcis-3734	63	11	fractal	fractal	NOUN
fcis-3734	63	12	,	,	PUNCT
fcis-3734	63	13	figure	figure	NOUN
fcis-3734	63	14	1	1	NUM
fcis-3734	63	15	(	(	PUNCT
fcis-3734	63	16	b	b	NOUN
fcis-3734	63	17	)	)	PUNCT
fcis-3734	63	18	is	be	AUX
fcis-3734	63	19	the	the	DET
fcis-3734	63	20	fractal	fractal	ADJ
fcis-3734	63	21	unit	unit	NOUN
fcis-3734	63	22	after	after	ADP
fcis-3734	63	23	the	the	DET
fcis-3734	63	24	first	first	ADJ
fcis-3734	63	25	iteration	iteration	NOUN
fcis-3734	63	26	,	,	PUNCT
fcis-3734	63	27	and	and	CCONJ
fcis-3734	63	28	figure	figure	VERB
fcis-3734	63	29	1	1	NUM
fcis-3734	63	30	(	(	PUNCT
fcis-3734	63	31	c	c	NOUN
fcis-3734	63	32	)	)	PUNCT
fcis-3734	63	33	is	be	AUX
fcis-3734	63	34	the	the	DET
fcis-3734	63	35	fractal	fractal	ADJ
fcis-3734	63	36	unit	unit	NOUN
fcis-3734	63	37	after	after	ADP
fcis-3734	63	38	the	the	DET
fcis-3734	63	39	second	second	ADJ
fcis-3734	63	40	iteration	iteration	NOUN
fcis-3734	63	41	.	.	PUNCT
fcis-3734	64	1	2.2	2.2	NUM
fcis-3734	64	2	.	.	PUNCT
fcis-3734	64	3	calculation	calculation	NOUN
fcis-3734	64	4	of	of	ADP
fcis-3734	64	5	average	average	ADJ
fcis-3734	64	6	tortuosity	tortuosity	NOUN
fcis-3734	64	7	based	base	VERB
fcis-3734	64	8	on	on	ADP
fcis-3734	64	9	heat	heat	NOUN
fcis-3734	64	10	flow	flow	NOUN
fcis-3734	64	11	paths	path	NOUN
fcis-3734	64	12	the	the	DET
fcis-3734	64	13	tortuosity	tortuosity	NOUN
fcis-3734	64	14	i	i	VERB
fcis-3734	64	15	is	be	AUX
fcis-3734	64	16	defined	define	VERB
fcis-3734	64	17	as	as	ADP
fcis-3734	64	18	:	:	PUNCT
fcis-3734	64	19	ei	ei	NOUN
fcis-3734	65	1	i	i	INTJ
fcis-3734	66	1	i	i	NOUN
fcis-3734	66	2	l	l	VERB
fcis-3734	66	3	l	l	NOUN
fcis-3734	66	4			NOUN
fcis-3734	66	5	=	=	SYM
fcis-3734	66	6	(	(	PUNCT
fcis-3734	66	7	1	1	X
fcis-3734	66	8	)	)	PUNCT
fcis-3734	66	9	where	where	SCONJ
fcis-3734	66	10	eil	eil	PROPN
fcis-3734	66	11	is	be	AUX
fcis-3734	66	12	the	the	DET
fcis-3734	66	13	true	true	ADJ
fcis-3734	66	14	length	length	NOUN
fcis-3734	66	15	of	of	ADP
fcis-3734	66	16	the	the	DET
fcis-3734	66	17	curved	curved	ADJ
fcis-3734	66	18	pore	pore	ADJ
fcis-3734	66	19	channel	channel	NOUN
fcis-3734	66	20	;	;	PUNCT
fcis-3734	66	21	il	il	PROPN
fcis-3734	66	22	is	be	AUX
fcis-3734	66	23	the	the	DET
fcis-3734	66	24	linear	linear	ADJ
fcis-3734	66	25	length	length	NOUN
fcis-3734	66	26	at	at	ADP
fcis-3734	66	27	both	both	DET
fcis-3734	66	28	ends	end	NOUN
fcis-3734	66	29	of	of	ADP
fcis-3734	66	30	the	the	DET
fcis-3734	66	31	curved	curved	ADJ
fcis-3734	66	32	pore	pore	ADJ
fcis-3734	66	33	channel	channel	NOUN
fcis-3734	66	34	.	.	PUNCT
fcis-3734	67	1	the	the	DET
fcis-3734	67	2	average	average	ADJ
fcis-3734	67	3	tortuosity	tortuosity	NOUN
fcis-3734	67	4			NOUN
fcis-3734	67	5	is	be	AUX
fcis-3734	67	6	defined	define	VERB
fcis-3734	67	7	as	as	ADP
fcis-3734	67	8	:	:	PUNCT
fcis-3734	67	9	1	1	NUM
fcis-3734	67	10	n	n	NOUN
fcis-3734	68	1	i	i	PRON
fcis-3734	68	2	i	i	PRON
fcis-3734	68	3	n	n	VERB
fcis-3734	68	4			NOUN
fcis-3734	68	5			NOUN
fcis-3734	68	6	=	=	NOUN
fcis-3734	68	7	=	=	NOUN
fcis-3734	68	8			X
fcis-3734	68	9	(	(	PUNCT
fcis-3734	68	10	2	2	NUM
fcis-3734	68	11	)	)	PUNCT
fcis-3734	68	12	where	where	SCONJ
fcis-3734	68	13	,	,	PUNCT
fcis-3734	68	14	n	n	PRON
fcis-3734	68	15	is	be	AUX
fcis-3734	68	16	the	the	DET
fcis-3734	68	17	number	number	NOUN
fcis-3734	68	18	of	of	ADP
fcis-3734	68	19	connected	connected	ADJ
fcis-3734	68	20	curved	curve	VERB
fcis-3734	68	21	pore	pore	ADJ
fcis-3734	68	22	channels	channel	NOUN
fcis-3734	68	23	.	.	PUNCT
fcis-3734	69	1	the	the	DET
fcis-3734	69	2	average	average	ADJ
fcis-3734	69	3	tortuosity	tortuosity	NOUN
fcis-3734	69	4	is	be	AUX
fcis-3734	69	5	closely	closely	ADV
fcis-3734	69	6	related	relate	VERB
fcis-3734	69	7	to	to	ADP
fcis-3734	69	8	the	the	DET
fcis-3734	69	9	fractal	fractal	ADJ
fcis-3734	69	10	dimension	dimension	NOUN
fcis-3734	69	11	or	or	CCONJ
fcis-3734	69	12	porosity	porosity	NOUN
fcis-3734	69	13	of	of	ADP
fcis-3734	69	14	the	the	DET
fcis-3734	69	15	material	material	NOUN
fcis-3734	69	16	[	[	X
fcis-3734	69	17	11	11	NUM
fcis-3734	69	18	-	-	SYM
fcis-3734	69	19	13	13	NUM
fcis-3734	69	20	]	]	PUNCT
fcis-3734	69	21	.	.	PUNCT
fcis-3734	70	1	in	in	ADP
fcis-3734	70	2	this	this	DET
fcis-3734	70	3	paper	paper	NOUN
fcis-3734	70	4	,	,	PUNCT
fcis-3734	70	5	the	the	DET
fcis-3734	70	6	sierpinski	sierpinski	ADJ
fcis-3734	70	7	carpet	carpet	NOUN
fcis-3734	70	8	with	with	ADP
fcis-3734	70	9	a	a	DET
fcis-3734	70	10	fractal	fractal	ADJ
fcis-3734	70	11	unit	unit	NOUN
fcis-3734	70	12	of	of	ADP
fcis-3734	70	13	k	k	PROPN
fcis-3734	70	14	k	k	PROPN
fcis-3734	70	15	is	be	AUX
fcis-3734	70	16	constructed	construct	VERB
fcis-3734	70	17	by	by	ADP
fcis-3734	70	18	the	the	DET
fcis-3734	70	19	porosity	porosity	NOUN
fcis-3734	70	20	of	of	ADP
fcis-3734	70	21	the	the	DET
fcis-3734	70	22	porous	porous	ADJ
fcis-3734	70	23	medium	medium	ADJ
fcis-3734	70	24	material	material	NOUN
fcis-3734	70	25	,	,	PUNCT
fcis-3734	70	26	and	and	CCONJ
fcis-3734	70	27	then	then	ADV
fcis-3734	70	28	the	the	DET
fcis-3734	70	29	sierpinski	sierpinski	ADJ
fcis-3734	70	30	carpet	carpet	NOUN
fcis-3734	70	31	with	with	ADP
fcis-3734	70	32	a	a	DET
fcis-3734	70	33	fractal	fractal	ADJ
fcis-3734	70	34	unit	unit	NOUN
fcis-3734	70	35	of	of	ADP
fcis-3734	70	36	k	k	PROPN
fcis-3734	70	37	k	k	PROPN
fcis-3734	70	38	is	be	AUX
fcis-3734	70	39	used	use	VERB
fcis-3734	70	40	to	to	PART
fcis-3734	70	41	construct	construct	VERB
fcis-3734	70	42	the	the	DET
fcis-3734	70	43	average	average	ADJ
fcis-3734	70	44	tortuosity	tortuosity	NOUN
fcis-3734	70	45	model	model	NOUN
fcis-3734	70	46	.	.	PUNCT
fcis-3734	71	1	the	the	DET
fcis-3734	71	2	schematic	schematic	ADJ
fcis-3734	71	3	of	of	ADP
fcis-3734	71	4	heat	heat	NOUN
fcis-3734	71	5	flow	flow	NOUN
fcis-3734	71	6	paths	path	NOUN
fcis-3734	71	7	is	be	AUX
fcis-3734	71	8	as	as	SCONJ
fcis-3734	71	9	follows	follow	VERB
fcis-3734	71	10	:	:	PUNCT
fcis-3734	71	11	fig	fig	NOUN
fcis-3734	71	12	.	.	PUNCT
fcis-3734	72	1	2	2	NUM
fcis-3734	72	2	schematic	schematic	ADJ
fcis-3734	72	3	of	of	ADP
fcis-3734	72	4	heat	heat	NOUN
fcis-3734	72	5	flow	flow	NOUN
fcis-3734	72	6	paths	path	NOUN
fcis-3734	72	7	of	of	ADP
fcis-3734	72	8	sierpinski	sierpinski	ADJ
fcis-3734	72	9	carpet	carpet	NOUN
fcis-3734	72	10	with	with	ADP
fcis-3734	72	11	fractal	fractal	ADJ
fcis-3734	72	12	unit	unit	NOUN
fcis-3734	72	13	of	of	ADP
fcis-3734	72	14	k	k	PROPN
fcis-3734	72	15	k	k	PROPN
fcis-3734	72	16	.	.	PUNCT
fcis-3734	73	1	fig.2	fig.2	PROPN
fcis-3734	73	2	(	(	PUNCT
fcis-3734	73	3	a	a	NOUN
fcis-3734	73	4	)	)	PUNCT
fcis-3734	73	5	is	be	AUX
fcis-3734	73	6	a	a	DET
fcis-3734	73	7	zeroth	zeroth	ADJ
fcis-3734	73	8	-	-	PUNCT
fcis-3734	73	9	stage	stage	NOUN
fcis-3734	73	10	sierpinski	sierpinski	ADJ
fcis-3734	73	11	carpet	carpet	NOUN
fcis-3734	73	12	with	with	ADP
fcis-3734	73	13	a	a	DET
fcis-3734	73	14	fractal	fractal	ADJ
fcis-3734	73	15	unit	unit	NOUN
fcis-3734	73	16	of	of	ADP
fcis-3734	73	17	k	k	PROPN
fcis-3734	73	18	k	k	PROPN
fcis-3734	73	19	,	,	PUNCT
fcis-3734	73	20	whose	whose	DET
fcis-3734	73	21	heat	heat	NOUN
fcis-3734	73	22	conduction	conduction	NOUN
fcis-3734	73	23	direction	direction	NOUN
fcis-3734	73	24	is	be	AUX
fcis-3734	73	25	set	set	VERB
fcis-3734	73	26	from	from	ADP
fcis-3734	73	27	left	left	ADJ
fcis-3734	73	28	to	to	ADP
fcis-3734	73	29	right	right	NOUN
fcis-3734	73	30	,	,	PUNCT
fcis-3734	73	31	and	and	CCONJ
fcis-3734	73	32	the	the	DET
fcis-3734	73	33	actual	actual	ADJ
fcis-3734	73	34	length	length	NOUN
fcis-3734	73	35	of	of	ADP
fcis-3734	73	36	the	the	DET
fcis-3734	73	37	curved	curved	ADJ
fcis-3734	73	38	pore	pore	ADJ
fcis-3734	73	39	channel	channel	NOUN
fcis-3734	73	40	is	be	AUX
fcis-3734	73	41	equaled	equal	VERB
fcis-3734	73	42	to	to	ADP
fcis-3734	73	43	the	the	DET
fcis-3734	73	44	length	length	NOUN
fcis-3734	73	45	of	of	ADP
fcis-3734	73	46	the	the	DET
fcis-3734	73	47	straight	straight	ADJ
fcis-3734	73	48	line	line	NOUN
fcis-3734	73	49	at	at	ADP
fcis-3734	73	50	both	both	DET
fcis-3734	73	51	ends	end	NOUN
fcis-3734	73	52	of	of	ADP
fcis-3734	73	53	the	the	DET
fcis-3734	73	54	linked	link	VERB
fcis-3734	73	55	curved	curved	ADJ
fcis-3734	73	56	pore	pore	ADJ
fcis-3734	73	57	channel	channel	NOUN
fcis-3734	73	58	,	,	PUNCT
fcis-3734	73	59	then	then	ADV
fcis-3734	73	60	its	its	PRON
fcis-3734	73	61	average	average	ADJ
fcis-3734	73	62	tortuosity	tortuosity	NOUN
fcis-3734	73	63	is	be	AUX
fcis-3734	73	64	(	(	PUNCT
fcis-3734	73	65	0	0	NUM
fcis-3734	73	66	)	)	PUNCT
fcis-3734	73	67	1	1	NUM
fcis-3734	73	68	=	=	PUNCT
fcis-3734	73	69	.	.	PUNCT
fcis-3734	74	1	fig.2	fig.2	PROPN
fcis-3734	74	2	(	(	PUNCT
fcis-3734	74	3	b	b	NOUN
fcis-3734	74	4	)	)	PUNCT
fcis-3734	74	5	is	be	AUX
fcis-3734	74	6	a	a	DET
fcis-3734	74	7	1st	1st	ADJ
fcis-3734	74	8	-	-	PUNCT
fcis-3734	74	9	stage	stage	NOUN
fcis-3734	74	10	sierpinski	sierpinski	ADJ
fcis-3734	74	11	carpet	carpet	NOUN
fcis-3734	74	12	with	with	ADP
fcis-3734	74	13	a	a	DET
fcis-3734	74	14	fractal	fractal	ADJ
fcis-3734	74	15	unit	unit	NOUN
fcis-3734	74	16	of	of	ADP
fcis-3734	74	17	k	k	PROPN
fcis-3734	74	18	k	k	PROPN
fcis-3734	74	19	,	,	PUNCT
fcis-3734	74	20	whose	whose	DET
fcis-3734	74	21	heat	heat	NOUN
fcis-3734	74	22	flow	flow	NOUN
fcis-3734	74	23	line	line	NOUN
fcis-3734	74	24	has	have	VERB
fcis-3734	74	25	twists	twist	NOUN
fcis-3734	74	26	and	and	CCONJ
fcis-3734	74	27	turns	turn	VERB
fcis-3734	74	28	in	in	ADP
fcis-3734	74	29	the	the	DET
fcis-3734	74	30	middle	middle	ADJ
fcis-3734	74	31	sub	sub	NOUN
fcis-3734	74	32	-	-	ADJ
fcis-3734	74	33	square	square	ADJ
fcis-3734	74	34	,	,	PUNCT
fcis-3734	74	35	and	and	CCONJ
fcis-3734	74	36	the	the	DET
fcis-3734	74	37	law	law	NOUN
fcis-3734	74	38	of	of	ADP
fcis-3734	74	39	heat	heat	NOUN
fcis-3734	74	40	flow	flow	NOUN
fcis-3734	74	41	line	line	NOUN
fcis-3734	74	42	needs	need	VERB
fcis-3734	74	43	to	to	PART
fcis-3734	74	44	be	be	AUX
fcis-3734	74	45	further	far	ADV
fcis-3734	74	46	analyzed	analyze	VERB
fcis-3734	74	47	at	at	ADP
fcis-3734	74	48	this	this	DET
fcis-3734	74	49	position	position	NOUN
fcis-3734	74	50	.	.	PUNCT
fcis-3734	75	1	fig.2	fig.2	PROPN
fcis-3734	75	2	(	(	PUNCT
fcis-3734	75	3	c	c	NOUN
fcis-3734	75	4	)	)	PUNCT
fcis-3734	75	5	is	be	AUX
fcis-3734	75	6	a	a	DET
fcis-3734	75	7	2ndstage	2ndstage	NUM
fcis-3734	75	8	sierpinski	sierpinski	ADJ
fcis-3734	75	9	carpet	carpet	NOUN
fcis-3734	75	10	with	with	ADP
fcis-3734	75	11	a	a	DET
fcis-3734	75	12	fractal	fractal	ADJ
fcis-3734	75	13	unit	unit	NOUN
fcis-3734	75	14	of	of	ADP
fcis-3734	75	15	k	k	PROPN
fcis-3734	75	16	k	k	PROPN
fcis-3734	75	17	,	,	PUNCT
fcis-3734	75	18	whose	whose	DET
fcis-3734	75	19	streamline	streamline	NOUN
fcis-3734	75	20	has	have	VERB
fcis-3734	75	21	twists	twist	NOUN
fcis-3734	75	22	and	and	CCONJ
fcis-3734	75	23	turns	turn	VERB
fcis-3734	75	24	in	in	ADP
fcis-3734	75	25	multiple	multiple	ADJ
fcis-3734	75	26	sub	sub	NOUN
fcis-3734	75	27	-	-	NOUN
fcis-3734	75	28	squares	square	NOUN
fcis-3734	75	29	,	,	PUNCT
fcis-3734	75	30	and	and	CCONJ
fcis-3734	75	31	its	its	PRON
fcis-3734	75	32	formation	formation	NOUN
fcis-3734	75	33	process	process	NOUN
fcis-3734	75	34	needs	need	VERB
fcis-3734	75	35	to	to	PART
fcis-3734	75	36	be	be	AUX
fcis-3734	75	37	deduced	deduce	VERB
fcis-3734	75	38	according	accord	VERB
fcis-3734	75	39	to	to	ADP
fcis-3734	75	40	the	the	DET
fcis-3734	75	41	1st	1st	ADJ
fcis-3734	75	42	-	-	PUNCT
fcis-3734	75	43	stage	stage	NOUN
fcis-3734	75	44	sierpinski	sierpinski	ADJ
fcis-3734	75	45	carpet	carpet	NOUN
fcis-3734	75	46	.	.	PUNCT
fcis-3734	76	1	fig	fig	NOUN
fcis-3734	76	2	.	.	PUNCT
fcis-3734	77	1	3	3	NUM
fcis-3734	77	2	schematic	schematic	ADJ
fcis-3734	77	3	of	of	ADP
fcis-3734	77	4	flow	flow	NOUN
fcis-3734	77	5	paths	path	NOUN
fcis-3734	77	6	through	through	ADP
fcis-3734	77	7	the	the	DET
fcis-3734	77	8	1st	1st	ADJ
fcis-3734	77	9	-	-	PUNCT
fcis-3734	77	10	stage	stage	NOUN
fcis-3734	77	11	sierpinski	sierpinski	ADJ
fcis-3734	77	12	carpet	carpet	NOUN
fcis-3734	77	13	with	with	ADP
fcis-3734	77	14	fractal	fractal	ADJ
fcis-3734	77	15	unit	unit	NOUN
fcis-3734	77	16	of	of	ADP
fcis-3734	77	17	k	k	PROPN
fcis-3734	77	18	k	k	PROPN
fcis-3734	77	19	.	.	PUNCT
fcis-3734	78	1	8	8	NUM
fcis-3734	78	2	figure	figure	NOUN
fcis-3734	78	3	3	3	NUM
fcis-3734	78	4	is	be	AUX
fcis-3734	78	5	the	the	DET
fcis-3734	78	6	1st	1st	ADJ
fcis-3734	78	7	-	-	PUNCT
fcis-3734	78	8	stage	stage	NOUN
fcis-3734	78	9	sierpinski	sierpinski	ADJ
fcis-3734	78	10	carpet	carpet	NOUN
fcis-3734	78	11	's	's	PART
fcis-3734	78	12	schematic	schematic	ADJ
fcis-3734	78	13	of	of	ADP
fcis-3734	78	14	heat	heat	NOUN
fcis-3734	78	15	flow	flow	NOUN
fcis-3734	78	16	paths	path	NOUN
fcis-3734	78	17	.	.	PUNCT
fcis-3734	79	1	by	by	ADP
fcis-3734	79	2	simulating	simulate	VERB
fcis-3734	79	3	its	its	PRON
fcis-3734	79	4	streamline	streamline	NOUN
fcis-3734	79	5	,	,	PUNCT
fcis-3734	79	6	we	we	PRON
fcis-3734	79	7	are	be	AUX
fcis-3734	79	8	found	find	VERB
fcis-3734	79	9	that	that	SCONJ
fcis-3734	79	10	the	the	DET
fcis-3734	79	11	heat	heat	NOUN
fcis-3734	79	12	flow	flow	NOUN
fcis-3734	79	13	diagram	diagram	NOUN
fcis-3734	79	14	can	can	AUX
fcis-3734	79	15	be	be	AUX
fcis-3734	79	16	divided	divide	VERB
fcis-3734	79	17	into	into	ADP
fcis-3734	79	18	k	k	PROPN
fcis-3734	79	19	parts	part	NOUN
fcis-3734	79	20	from	from	ADP
fcis-3734	79	21	top	top	NOUN
fcis-3734	79	22	to	to	ADP
fcis-3734	79	23	bottom	bottom	NOUN
fcis-3734	79	24	.	.	PUNCT
fcis-3734	80	1	that	that	PRON
fcis-3734	80	2	is	be	AUX
fcis-3734	80	3	a	a	DET
fcis-3734	80	4	row	row	NOUN
fcis-3734	80	5	of	of	ADP
fcis-3734	80	6	squares	square	NOUN
fcis-3734	80	7	to	to	PART
fcis-3734	80	8	be	be	AUX
fcis-3734	80	9	a	a	DET
fcis-3734	80	10	part	part	NOUN
fcis-3734	80	11	.	.	PUNCT
fcis-3734	81	1	except	except	SCONJ
fcis-3734	81	2	for	for	ADP
fcis-3734	81	3	part	part	NOUN
fcis-3734	81	4	(	(	PUNCT
fcis-3734	81	5	1	1	NUM
fcis-3734	81	6	)	)	PUNCT
fcis-3734	81	7	2k	2k	NOUN
fcis-3734	81	8	+	+	CCONJ
fcis-3734	81	9	,	,	PUNCT
fcis-3734	81	10	the	the	DET
fcis-3734	81	11	remaining	remain	VERB
fcis-3734	81	12	pore	pore	ADJ
fcis-3734	81	13	channels	channel	NOUN
fcis-3734	81	14	are	be	AUX
fcis-3734	81	15	approximately	approximately	ADV
fcis-3734	81	16	straight	straight	ADJ
fcis-3734	81	17	.	.	PUNCT
fcis-3734	82	1	and	and	CCONJ
fcis-3734	82	2	the	the	DET
fcis-3734	82	3	average	average	ADJ
fcis-3734	82	4	tortuosity	tortuosity	NOUN
fcis-3734	82	5	of	of	ADP
fcis-3734	82	6	this	this	DET
fcis-3734	82	7	part	part	NOUN
fcis-3734	82	8	1k	1k	NUM
fcis-3734	82	9	−	−	PROPN
fcis-3734	82	10	is	be	AUX
fcis-3734	82	11	𝜏1	𝜏1	NOUN
fcis-3734	82	12	=	=	SYM
fcis-3734	82	13	𝜏2	𝜏2	PROPN
fcis-3734	82	14	=	=	SYM
fcis-3734	82	15	⋯	⋯	PROPN
fcis-3734	82	16	=	=	NOUN
fcis-3734	82	17	𝜏𝑘+1	𝜏𝑘+1	NOUN
fcis-3734	82	18	2	2	NUM
fcis-3734	82	19	−1	−1	NOUN
fcis-3734	82	20	=	=	NOUN
fcis-3734	83	1	𝜏𝑘+1	𝜏𝑘+1	NOUN
fcis-3734	83	2	2	2	NUM
fcis-3734	83	3	+1	+1	NOUN
fcis-3734	83	4	=	=	PUNCT
fcis-3734	83	5	⋯	⋯	NOUN
fcis-3734	83	6	=	=	NOUN
fcis-3734	84	1	𝜏𝑘	𝜏𝑘	NOUN
fcis-3734	84	2	=	=	PUNCT
fcis-3734	84	3	∑	∑	PUNCT
fcis-3734	84	4	1𝑁	1𝑁	ADJ
fcis-3734	84	5	𝑖=1	𝑖=1	PUNCT
fcis-3734	84	6	𝑁	𝑁	NOUN
fcis-3734	84	7	=	=	SYM
fcis-3734	84	8	1	1	NUM
fcis-3734	84	9	(	(	PUNCT
fcis-3734	84	10	3	3	NUM
fcis-3734	84	11	)	)	PUNCT
fcis-3734	84	12	the	the	DET
fcis-3734	84	13	tortuosity	tortuosity	NOUN
fcis-3734	84	14	of	of	ADP
fcis-3734	84	15	part	part	NOUN
fcis-3734	84	16	(	(	PUNCT
fcis-3734	84	17	1	1	NUM
fcis-3734	84	18	)	)	PUNCT
fcis-3734	84	19	2k	2k	NOUN
fcis-3734	85	1	+	+	CCONJ
fcis-3734	85	2	is	be	AUX
fcis-3734	85	3	more	more	ADV
fcis-3734	85	4	complex	complex	ADJ
fcis-3734	85	5	.	.	PUNCT
fcis-3734	86	1	among	among	ADP
fcis-3734	86	2	them	they	PRON
fcis-3734	86	3	,	,	PUNCT
fcis-3734	86	4	the	the	DET
fcis-3734	86	5	flow	flow	NOUN
fcis-3734	86	6	path	path	NOUN
fcis-3734	86	7	of	of	ADP
fcis-3734	86	8	a	a	DET
fcis-3734	86	9	b→	b→	PROPN
fcis-3734	86	10	is	be	AUX
fcis-3734	86	11	the	the	DET
fcis-3734	86	12	longest	long	ADJ
fcis-3734	86	13	,	,	PUNCT
fcis-3734	86	14	and	and	CCONJ
fcis-3734	86	15	the	the	DET
fcis-3734	86	16	average	average	ADJ
fcis-3734	86	17	tortuosity	tortuosity	NOUN
fcis-3734	86	18	is	be	AUX
fcis-3734	86	19	1	1	NUM
fcis-3734	86	20	2	2	NUM
fcis-3734	86	21	1	1	NUM
fcis-3734	86	22	12	12	NUM
fcis-3734	86	23	2	2	NUM
fcis-3734	86	24	1	1	NUM
fcis-3734	86	25	1	1	NUM
fcis-3734	86	26	2	2	NUM
fcis-3734	86	27	12	12	NUM
fcis-3734	86	28	1	1	NUM
fcis-3734	86	29	k	k	NOUN
fcis-3734	86	30	e	e	PROPN
fcis-3734	86	31	a	a	PRON
fcis-3734	86	32	b	b	X
fcis-3734	86	33	k	k	X
fcis-3734	86	34	k	k	X
fcis-3734	86	35	l	l	NOUN
fcis-3734	86	36	kk	kk	PROPN
fcis-3734	86	37	l	l	PROPN
fcis-3734	86	38	k	k	X
fcis-3734	86	39			PROPN
fcis-3734	86	40	+	+	X
fcis-3734	87	1	→	→	PUNCT
fcis-3734	87	2	+	+	PUNCT
fcis-3734	87	3	+	+	CCONJ
fcis-3734	87	4	+	+	CCONJ
fcis-3734	87	5			NOUN
fcis-3734	87	6	+	+	NOUN
fcis-3734	87	7	=	=	SYM
fcis-3734	87	8	=	=	SYM
fcis-3734	87	9	=	=	SYM
fcis-3734	87	10	(	(	PUNCT
fcis-3734	87	11	4	4	X
fcis-3734	87	12	)	)	PUNCT
fcis-3734	87	13	the	the	DET
fcis-3734	87	14	streamline	streamline	NOUN
fcis-3734	87	15	of	of	ADP
fcis-3734	87	16	c	c	PROPN
fcis-3734	87	17	d→	d→	PUNCT
fcis-3734	87	18	is	be	AUX
fcis-3734	87	19	approximately	approximately	ADV
fcis-3734	87	20	1	1	NUM
fcis-3734	87	21	.	.	PUNCT
fcis-3734	88	1	therefore	therefore	ADV
fcis-3734	88	2	,	,	PUNCT
fcis-3734	88	3	the	the	DET
fcis-3734	88	4	average	average	ADJ
fcis-3734	88	5	tortuosity	tortuosity	NOUN
fcis-3734	88	6	of	of	ADP
fcis-3734	88	7	part	part	NOUN
fcis-3734	88	8	(	(	PUNCT
fcis-3734	88	9	1	1	NUM
fcis-3734	88	10	)	)	PUNCT
fcis-3734	88	11	2k	2k	NOUN
fcis-3734	88	12	+	+	CCONJ
fcis-3734	88	13	takes	take	VERB
fcis-3734	88	14	the	the	DET
fcis-3734	88	15	longest	long	ADJ
fcis-3734	88	16	and	and	CCONJ
fcis-3734	88	17	shortest	short	ADJ
fcis-3734	88	18	averages	average	NOUN
fcis-3734	88	19	as	as	ADP
fcis-3734	88	20	1	1	NUM
fcis-3734	88	21	2	2	NUM
fcis-3734	88	22	1	1	NUM
fcis-3734	88	23	1	1	NUM
fcis-3734	88	24	2	2	NUM
fcis-3734	88	25	1	1	NUM
fcis-3734	88	26	2	2	NUM
fcis-3734	88	27	2	2	NUM
fcis-3734	88	28	k	k	NOUN
fcis-3734	88	29	k	k	PROPN
fcis-3734	88	30	kk	kk	PROPN
fcis-3734	88	31	k	k	PROPN
fcis-3734	88	32			PROPN
fcis-3734	89	1	+	+	X
fcis-3734	90	1	+	+	PUNCT
fcis-3734	90	2	+	+	PUNCT
fcis-3734	90	3	+	+	PROPN
fcis-3734	90	4	=	=	SYM
fcis-3734	90	5	=	=	SYM
fcis-3734	90	6	(	(	PUNCT
fcis-3734	90	7	5	5	NUM
fcis-3734	90	8	)	)	PUNCT
fcis-3734	90	9	therefore	therefore	ADV
fcis-3734	90	10	,	,	PUNCT
fcis-3734	90	11	the	the	DET
fcis-3734	90	12	average	average	ADJ
fcis-3734	90	13	tortuosity	tortuosity	NOUN
fcis-3734	90	14	of	of	ADP
fcis-3734	90	15	the	the	DET
fcis-3734	90	16	1st	1st	ADJ
fcis-3734	90	17	-	-	PUNCT
fcis-3734	90	18	stage	stage	NOUN
fcis-3734	90	19	sierpinski	sierpinski	ADJ
fcis-3734	90	20	carpet	carpet	NOUN
fcis-3734	90	21	with	with	ADP
fcis-3734	90	22	a	a	DET
fcis-3734	90	23	fractal	fractal	ADJ
fcis-3734	90	24	unit	unit	NOUN
fcis-3734	90	25	of	of	ADP
fcis-3734	90	26	k	k	PROPN
fcis-3734	90	27	k	k	PROPN
fcis-3734	90	28	is	be	AUX
fcis-3734	90	29	2	2	NUM
fcis-3734	90	30	2	2	NUM
fcis-3734	90	31	2	2	NUM
fcis-3734	90	32	1	1	NUM
fcis-3734	90	33	1	1	NUM
fcis-3734	90	34	2	2	NUM
fcis-3734	90	35	12(1	12(1	NUM
fcis-3734	90	36	)	)	PUNCT
fcis-3734	90	37	2	2	NUM
fcis-3734	91	1	k	k	X
fcis-3734	91	2	k	k	PROPN
fcis-3734	91	3	kk	kk	PROPN
fcis-3734	91	4	k	k	PROPN
fcis-3734	91	5	k	k	PROPN
fcis-3734	91	6			PROPN
fcis-3734	91	7	+	+	X
fcis-3734	92	1	+	+	CCONJ
fcis-3734	92	2	−	−	X
fcis-3734	92	3	+	+	NOUN
fcis-3734	92	4	=	=	SYM
fcis-3734	92	5	=	=	SYM
fcis-3734	92	6	(	(	PUNCT
fcis-3734	92	7	6	6	NUM
fcis-3734	92	8	)	)	PUNCT
fcis-3734	92	9	since	since	SCONJ
fcis-3734	92	10	the	the	DET
fcis-3734	92	11	average	average	ADJ
fcis-3734	92	12	tortuosity	tortuosity	NOUN
fcis-3734	92	13	of	of	ADP
fcis-3734	92	14	zeroth	zeroth	ADJ
fcis-3734	92	15	-	-	PUNCT
fcis-3734	92	16	stage	stage	NOUN
fcis-3734	92	17	sierpinski	sierpinski	ADJ
fcis-3734	92	18	carpet	carpet	NOUN
fcis-3734	92	19	with	with	ADP
fcis-3734	92	20	a	a	DET
fcis-3734	92	21	fractal	fractal	ADJ
fcis-3734	92	22	unit	unit	NOUN
fcis-3734	92	23	of	of	ADP
fcis-3734	92	24	k	k	PROPN
fcis-3734	92	25	k	k	PROPN
fcis-3734	92	26	is	be	AUX
fcis-3734	92	27	(	(	PUNCT
fcis-3734	92	28	0	0	NUM
fcis-3734	92	29	)	)	PUNCT
fcis-3734	92	30	1	1	NUM
fcis-3734	92	31	=	=	SYM
fcis-3734	93	1	，	，	SCONJ
fcis-3734	93	2	the	the	DET
fcis-3734	93	3	average	average	ADJ
fcis-3734	93	4	tortuosity	tortuosity	NOUN
fcis-3734	93	5	of	of	ADP
fcis-3734	93	6	the	the	DET
fcis-3734	93	7	1st	1st	ADJ
fcis-3734	93	8	-	-	PUNCT
fcis-3734	93	9	stage	stage	NOUN
fcis-3734	93	10	sierpinski	sierpinski	ADJ
fcis-3734	93	11	carpet	carpet	NOUN
fcis-3734	93	12	with	with	ADP
fcis-3734	93	13	a	a	DET
fcis-3734	93	14	fractal	fractal	ADJ
fcis-3734	93	15	unit	unit	NOUN
fcis-3734	93	16	of	of	ADP
fcis-3734	93	17	k	k	PROPN
fcis-3734	93	18	k	k	PROPN
fcis-3734	93	19	can	can	AUX
fcis-3734	93	20	be	be	AUX
fcis-3734	93	21	rewritten	rewrite	VERB
fcis-3734	93	22	as	as	ADP
fcis-3734	93	23	2	2	NUM
fcis-3734	93	24	2	2	NUM
fcis-3734	93	25	2	2	NUM
fcis-3734	93	26	1	1	NUM
fcis-3734	93	27	(	(	PUNCT
fcis-3734	93	28	1	1	NUM
fcis-3734	93	29	)	)	PUNCT
fcis-3734	93	30	(	(	PUNCT
fcis-3734	93	31	0	0	NUM
fcis-3734	93	32	)	)	PUNCT
fcis-3734	93	33	2	2	NUM
fcis-3734	93	34	k	k	NOUN
fcis-3734	93	35	k	k	X
fcis-3734	93	36			NOUN
fcis-3734	93	37			NOUN
fcis-3734	93	38	+	+	X
fcis-3734	93	39	=	=	X
fcis-3734	93	40	(	(	PUNCT
fcis-3734	93	41	7	7	NUM
fcis-3734	93	42	)	)	PUNCT
fcis-3734	93	43	where	where	SCONJ
fcis-3734	93	44	(	(	PUNCT
fcis-3734	93	45	0)	0)	NOUN
fcis-3734	93	46	represent	represent	VERB
fcis-3734	93	47	the	the	DET
fcis-3734	93	48	average	average	ADJ
fcis-3734	93	49	tortuosity	tortuosity	NOUN
fcis-3734	93	50	of	of	ADP
fcis-3734	93	51	the	the	DET
fcis-3734	93	52	zeroth	zeroth	ADJ
fcis-3734	93	53	-	-	PUNCT
fcis-3734	93	54	stage	stage	NOUN
fcis-3734	93	55	sierpinski	sierpinski	ADJ
fcis-3734	93	56	carpet	carpet	NOUN
fcis-3734	93	57	with	with	ADP
fcis-3734	93	58	a	a	DET
fcis-3734	93	59	fractal	fractal	ADJ
fcis-3734	93	60	unit	unit	NOUN
fcis-3734	93	61	of	of	ADP
fcis-3734	93	62	k	k	PROPN
fcis-3734	93	63	k	k	PROPN
fcis-3734	93	64	,	,	PUNCT
fcis-3734	93	65	and	and	CCONJ
fcis-3734	93	66	(	(	PUNCT
fcis-3734	93	67	1)	1)	NUM
fcis-3734	93	68	represent	represent	VERB
fcis-3734	93	69	the	the	DET
fcis-3734	93	70	average	average	ADJ
fcis-3734	93	71	tortuosity	tortuosity	NOUN
fcis-3734	93	72	of	of	ADP
fcis-3734	93	73	the	the	DET
fcis-3734	93	74	1st	1st	ADJ
fcis-3734	93	75	-	-	PUNCT
fcis-3734	93	76	stage	stage	NOUN
fcis-3734	93	77	sierpinski	sierpinski	ADJ
fcis-3734	93	78	carpet	carpet	NOUN
fcis-3734	93	79	with	with	ADP
fcis-3734	93	80	a	a	DET
fcis-3734	93	81	fractal	fractal	ADJ
fcis-3734	93	82	unit	unit	NOUN
fcis-3734	93	83	of	of	ADP
fcis-3734	93	84	k	k	PROPN
fcis-3734	93	85	k	k	PROPN
fcis-3734	93	86	.	.	PUNCT
fcis-3734	94	1	fig	fig	NOUN
fcis-3734	94	2	.	.	PUNCT
fcis-3734	95	1	4	4	NUM
fcis-3734	95	2	schematic	schematic	ADJ
fcis-3734	95	3	of	of	ADP
fcis-3734	95	4	flow	flow	NOUN
fcis-3734	95	5	paths	path	NOUN
fcis-3734	95	6	through	through	ADP
fcis-3734	95	7	the	the	DET
fcis-3734	95	8	2nd	2nd	ADJ
fcis-3734	95	9	-	-	PUNCT
fcis-3734	95	10	stage	stage	NOUN
fcis-3734	95	11	sierpinski	sierpinski	ADJ
fcis-3734	95	12	carpet	carpet	NOUN
fcis-3734	95	13	with	with	ADP
fcis-3734	95	14	fractal	fractal	ADJ
fcis-3734	95	15	unit	unit	NOUN
fcis-3734	95	16	of	of	ADP
fcis-3734	95	17	k	k	PROPN
fcis-3734	95	18	k	k	PROPN
fcis-3734	95	19	.	.	PUNCT
fcis-3734	96	1	figure	figure	NOUN
fcis-3734	96	2	4	4	NUM
fcis-3734	96	3	is	be	AUX
fcis-3734	96	4	the	the	DET
fcis-3734	96	5	2nd	2nd	ADJ
fcis-3734	96	6	-	-	PUNCT
fcis-3734	96	7	stage	stage	NOUN
fcis-3734	96	8	sierpinski	sierpinski	ADJ
fcis-3734	96	9	carpet	carpet	NOUN
fcis-3734	96	10	's	's	PART
fcis-3734	96	11	schematic	schematic	ADJ
fcis-3734	96	12	of	of	ADP
fcis-3734	96	13	heat	heat	NOUN
fcis-3734	96	14	flow	flow	NOUN
fcis-3734	96	15	paths	path	NOUN
fcis-3734	96	16	.	.	PUNCT
fcis-3734	97	1	by	by	ADP
fcis-3734	97	2	simulating	simulate	VERB
fcis-3734	97	3	its	its	PRON
fcis-3734	97	4	streamline	streamline	NOUN
fcis-3734	97	5	,	,	PUNCT
fcis-3734	97	6	the	the	DET
fcis-3734	97	7	2k	2k	NUM
fcis-3734	97	8	subsquare	subsquare	NOUN
fcis-3734	97	9	is	be	AUX
fcis-3734	97	10	divided	divide	VERB
fcis-3734	97	11	into	into	ADP
fcis-3734	97	12	2k	2k	NUM
fcis-3734	97	13	parts	part	NOUN
fcis-3734	97	14	.	.	PUNCT
fcis-3734	98	1	it	it	PRON
fcis-3734	98	2	is	be	AUX
fcis-3734	98	3	found	find	VERB
fcis-3734	98	4	that	that	SCONJ
fcis-3734	98	5	except	except	SCONJ
fcis-3734	98	6	for	for	ADP
fcis-3734	98	7	the	the	DET
fcis-3734	98	8	[	[	PUNCT
fcis-3734	98	9	1	1	NUM
fcis-3734	98	10	2]k	2]k	NUM
fcis-3734	98	11	th+	th+	NOUN
fcis-3734	98	12	(	(	PUNCT
fcis-3734	98	13	)	)	PUNCT
fcis-3734	98	14	sub	sub	ADJ
fcis-3734	98	15	-	-	ADJ
fcis-3734	98	16	square	square	ADJ
fcis-3734	98	17	,	,	PUNCT
fcis-3734	98	18	the	the	DET
fcis-3734	98	19	average	average	ADJ
fcis-3734	98	20	tortuosity	tortuosity	NOUN
fcis-3734	98	21	of	of	ADP
fcis-3734	98	22	the	the	DET
fcis-3734	98	23	other	other	ADJ
fcis-3734	98	24	2	2	NUM
fcis-3734	98	25	1k	1k	NUM
fcis-3734	98	26	−	−	NOUN
fcis-3734	98	27	sub	sub	ADJ
fcis-3734	98	28	-	-	ADJ
fcis-3734	98	29	square	square	ADJ
fcis-3734	98	30	is	be	AUX
fcis-3734	98	31	1/	1/	NUM
fcis-3734	98	32	k	k	NOUN
fcis-3734	98	33	of	of	ADP
fcis-3734	98	34	the	the	DET
fcis-3734	98	35	1st	1st	ADJ
fcis-3734	98	36	-	-	PUNCT
fcis-3734	98	37	stage	stage	NOUN
fcis-3734	98	38	sierpinski	sierpinski	ADJ
fcis-3734	98	39	carpet	carpet	NOUN
fcis-3734	98	40	.	.	PUNCT
fcis-3734	99	1	that	that	PRON
fcis-3734	99	2	is	be	AUX
fcis-3734	99	3	𝜏1	𝜏1	NOUN
fcis-3734	99	4	=	=	SYM
fcis-3734	99	5	⋯	⋯	NOUN
fcis-3734	99	6	=	=	SYM
fcis-3734	99	7	𝜏𝑘2	𝜏𝑘2	PROPN
fcis-3734	99	8	+	+	PROPN
fcis-3734	99	9	1	1	NUM
fcis-3734	99	10	2	2	NUM
fcis-3734	99	11	−1	−1	NOUN
fcis-3734	99	12	=	=	PUNCT
fcis-3734	100	1	𝜏𝑘2	𝜏𝑘2	PROPN
fcis-3734	100	2	+	+	PROPN
fcis-3734	100	3	1	1	NUM
fcis-3734	100	4	2	2	NUM
fcis-3734	100	5	+1	+1	NOUN
fcis-3734	100	6	=	=	PUNCT
fcis-3734	100	7	⋯	⋯	NOUN
fcis-3734	100	8	=	=	NOUN
fcis-3734	100	9	𝜏𝑘2	𝜏𝑘2	NOUN
fcis-3734	100	10	=	=	NOUN
fcis-3734	100	11	1	1	NUM
fcis-3734	100	12	𝑘	𝑘	DET
fcis-3734	100	13	𝜏（1	𝜏（1	X
fcis-3734	100	14	）	）	PUNCT
fcis-3734	100	15	(	(	PUNCT
fcis-3734	100	16	8)	8)	NUM
fcis-3734	100	17	the	the	DET
fcis-3734	100	18	average	average	ADJ
fcis-3734	100	19	tortuosity	tortuosity	NOUN
fcis-3734	100	20	of	of	ADP
fcis-3734	100	21	the	the	DET
fcis-3734	100	22	[	[	PUNCT
fcis-3734	100	23	1	1	NUM
fcis-3734	100	24	2]k	2]k	NUM
fcis-3734	100	25	th+	th+	NOUN
fcis-3734	100	26	(	(	PUNCT
fcis-3734	100	27	)	)	PUNCT
fcis-3734	100	28	sub	sub	ADJ
fcis-3734	100	29	-	-	ADJ
fcis-3734	100	30	square	square	ADJ
fcis-3734	100	31	is	be	AUX
fcis-3734	100	32	1	1	NUM
fcis-3734	100	33	2	2	NUM
fcis-3734	100	34	1	1	NUM
fcis-3734	100	35	1	1	NUM
fcis-3734	100	36	1	1	NUM
fcis-3734	100	37	2	2	NUM
fcis-3734	100	38	32	32	NUM
fcis-3734	100	39	1	1	NUM
fcis-3734	100	40	1	1	NUM
fcis-3734	100	41	2	2	NUM
fcis-3734	100	42	2	2	NUM
fcis-3734	100	43	k	k	NOUN
fcis-3734	100	44	k	k	PROPN
fcis-3734	100	45	k	k	PROPN
fcis-3734	100	46	k	k	PROPN
fcis-3734	100	47	k	k	PROPN
fcis-3734	100	48			NOUN
fcis-3734	100	49			NOUN
fcis-3734	101	1	+	+	NOUN
fcis-3734	101	2			NOUN
fcis-3734	101	3	+	+	PROPN
fcis-3734	101	4	+	+	CCONJ
fcis-3734	101	5	=	=	SYM
fcis-3734	101	6	（	（	PUNCT
fcis-3734	101	7	）	）	PUNCT
fcis-3734	101	8	=	=	SYM
fcis-3734	102	1	（	（	PUNCT
fcis-3734	102	2	）	）	PUNCT
fcis-3734	102	3	(	(	PUNCT
fcis-3734	102	4	9	9	NUM
fcis-3734	102	5	)	)	PUNCT
fcis-3734	102	6	the	the	DET
fcis-3734	102	7	2nd	2nd	ADJ
fcis-3734	102	8	-	-	PUNCT
fcis-3734	102	9	stage	stage	NOUN
fcis-3734	102	10	sierpinski	sierpinski	ADJ
fcis-3734	102	11	carpet	carpet	NOUN
fcis-3734	102	12	with	with	ADP
fcis-3734	102	13	a	a	DET
fcis-3734	102	14	fractal	fractal	ADJ
fcis-3734	102	15	unit	unit	NOUN
fcis-3734	102	16	of	of	ADP
fcis-3734	102	17	k	k	PROPN
fcis-3734	102	18	k	k	PROPN
fcis-3734	102	19	is	be	AUX
fcis-3734	102	20	then	then	ADV
fcis-3734	102	21	divided	divide	VERB
fcis-3734	102	22	into	into	ADP
fcis-3734	102	23	k	k	PROPN
fcis-3734	102	24	parts	part	NOUN
fcis-3734	102	25	from	from	ADP
fcis-3734	102	26	top	top	NOUN
fcis-3734	102	27	to	to	ADP
fcis-3734	102	28	bottom	bottom	NOUN
fcis-3734	102	29	.	.	PUNCT
fcis-3734	103	1	excepting	except	VERB
fcis-3734	103	2	for	for	ADP
fcis-3734	103	3	part	part	NOUN
fcis-3734	103	4	(	(	PUNCT
fcis-3734	103	5	1	1	NUM
fcis-3734	103	6	)	)	PUNCT
fcis-3734	103	7	2k	2k	NOUN
fcis-3734	103	8	+	+	CCONJ
fcis-3734	103	9	.	.	PUNCT
fcis-3734	104	1	the	the	DET
fcis-3734	104	2	average	average	ADJ
fcis-3734	104	3	tortuosity	tortuosity	NOUN
fcis-3734	104	4	of	of	ADP
fcis-3734	104	5	the	the	DET
fcis-3734	104	6	other	other	ADJ
fcis-3734	104	7	1k	1k	NUM
fcis-3734	104	8	−	−	NOUN
fcis-3734	104	9	parts	part	NOUN
fcis-3734	104	10	is	be	AUX
fcis-3734	104	11	𝜏1	𝜏1	NOUN
fcis-3734	104	12	=	=	SYM
fcis-3734	104	13	𝜏2	𝜏2	NOUN
fcis-3734	104	14	=	=	SYM
fcis-3734	104	15	⋯	⋯	PROPN
fcis-3734	104	16	=	=	SYM
fcis-3734	104	17	𝜏	𝜏	NUM
fcis-3734	104	18	𝑘+1	𝑘+1	NUM
fcis-3734	104	19	2	2	NUM
fcis-3734	104	20	−1	−1	NOUN
fcis-3734	104	21	=	=	NOUN
fcis-3734	104	22	𝜏	𝜏	NOUN
fcis-3734	104	23	𝑘+1	𝑘+1	NUM
fcis-3734	104	24	2	2	NUM
fcis-3734	104	25	+1	+1	NOUN
fcis-3734	104	26	=	=	PUNCT
fcis-3734	104	27	⋯	⋯	NOUN
fcis-3734	104	28	=	=	NOUN
fcis-3734	104	29	𝜏𝑘	𝜏𝑘	NOUN
fcis-3734	104	30	=	=	SYM
fcis-3734	104	31	𝑘	𝑘	PRON
fcis-3734	104	32	×	×	NOUN
fcis-3734	104	33	1	1	NUM
fcis-3734	104	34	𝑘	𝑘	DET
fcis-3734	104	35	𝜏（1	𝜏（1	X
fcis-3734	104	36	）	）	PUNCT
fcis-3734	104	37	=	=	PUNCT
fcis-3734	105	1	𝜏（1	𝜏（1	PROPN
fcis-3734	105	2	）	）	PUNCT
fcis-3734	105	3	(	(	PUNCT
fcis-3734	105	4	10	10	NUM
fcis-3734	105	5	)	)	PUNCT
fcis-3734	105	6	since	since	SCONJ
fcis-3734	105	7	the	the	DET
fcis-3734	105	8	average	average	ADJ
fcis-3734	105	9	tortuosity	tortuosity	NOUN
fcis-3734	105	10	of	of	ADP
fcis-3734	105	11	the	the	DET
fcis-3734	105	12	[	[	X
fcis-3734	105	13	(	(	PUNCT
fcis-3734	105	14	1	1	NUM
fcis-3734	105	15	)	)	PUNCT
fcis-3734	105	16	2]k	2]k	NUM
fcis-3734	105	17	th+	th+	NOUN
fcis-3734	105	18	part	part	NOUN
fcis-3734	105	19	of	of	ADP
fcis-3734	105	20	the	the	DET
fcis-3734	105	21	2nd	2nd	ADJ
fcis-3734	105	22	-	-	PUNCT
fcis-3734	105	23	stage	stage	NOUN
fcis-3734	105	24	sierpinski	sierpinski	ADJ
fcis-3734	105	25	carpet	carpet	NOUN
fcis-3734	105	26	is	be	AUX
fcis-3734	105	27	similar	similar	ADJ
fcis-3734	105	28	to	to	ADP
fcis-3734	105	29	that	that	PRON
fcis-3734	105	30	of	of	ADP
fcis-3734	105	31	the	the	DET
fcis-3734	105	32	1ststage	1ststage	NUM
fcis-3734	105	33	sierpinski	sierpinski	ADJ
fcis-3734	105	34	carpet	carpet	NOUN
fcis-3734	105	35	.	.	PUNCT
fcis-3734	106	1	the	the	DET
fcis-3734	106	2	average	average	ADJ
fcis-3734	106	3	tortuosity	tortuosity	NOUN
fcis-3734	106	4	of	of	ADP
fcis-3734	106	5	this	this	DET
fcis-3734	106	6	part	part	NOUN
fcis-3734	106	7	is	be	AUX
fcis-3734	106	8	𝜏	𝜏	PRON
fcis-3734	106	9	𝑘+1	𝑘+1	NUM
fcis-3734	106	10	2	2	NUM
fcis-3734	106	11	=	=	SYM
fcis-3734	106	12	3	3	NUM
fcis-3734	106	13	2𝑘	2𝑘	NUM
fcis-3734	106	14	𝜏（1）+	𝜏（1）+	PROPN
fcis-3734	107	1	(	(	PUNCT
fcis-3734	107	2	𝑘	𝑘	NOUN
fcis-3734	107	3	−	−	PROPN
fcis-3734	107	4	1	1	NUM
fcis-3734	107	5	)	)	PUNCT
fcis-3734	107	6	×	×	NOUN
fcis-3734	107	7	1	1	NUM
fcis-3734	107	8	𝑘	𝑘	DET
fcis-3734	107	9	𝜏（1	𝜏（1	X
fcis-3734	107	10	）	）	PUNCT
fcis-3734	108	1	=	=	NOUN
fcis-3734	109	1	2𝑘	2𝑘	NUM
fcis-3734	110	1	+	+	NUM
fcis-3734	110	2	1	1	NUM
fcis-3734	110	3	2𝑘	2𝑘	NUM
fcis-3734	110	4	𝜏(1	𝜏(1	PROPN
fcis-3734	110	5	)	)	PUNCT
fcis-3734	110	6	(	(	PUNCT
fcis-3734	110	7	11	11	NUM
fcis-3734	110	8	)	)	PUNCT
fcis-3734	110	9	therefore	therefore	ADV
fcis-3734	110	10	,	,	PUNCT
fcis-3734	110	11	the	the	DET
fcis-3734	110	12	average	average	ADJ
fcis-3734	110	13	tortuosity	tortuosity	NOUN
fcis-3734	110	14	of	of	ADP
fcis-3734	110	15	the	the	DET
fcis-3734	110	16	2nd	2nd	ADJ
fcis-3734	110	17	-	-	PUNCT
fcis-3734	110	18	stage	stage	NOUN
fcis-3734	110	19	sierpinski	sierpinski	ADJ
fcis-3734	110	20	carpet	carpet	NOUN
fcis-3734	110	21	with	with	ADP
fcis-3734	110	22	a	a	DET
fcis-3734	110	23	fractal	fractal	ADJ
fcis-3734	110	24	unit	unit	NOUN
fcis-3734	110	25	of	of	ADP
fcis-3734	110	26	k	k	PROPN
fcis-3734	110	27	k	k	PROPN
fcis-3734	110	28	is	be	AUX
fcis-3734	110	29	2	2	NUM
fcis-3734	110	30	2	2	NUM
fcis-3734	110	31	2	2	NUM
fcis-3734	110	32	1	1	NUM
fcis-3734	110	33	(	(	PUNCT
fcis-3734	110	34	1	1	NUM
fcis-3734	110	35	)	)	PUNCT
fcis-3734	110	36	(	(	PUNCT
fcis-3734	110	37	1	1	X
fcis-3734	110	38	)	)	PUNCT
fcis-3734	110	39	(	(	PUNCT
fcis-3734	110	40	1	1	NUM
fcis-3734	110	41	)	)	PUNCT
fcis-3734	110	42	2	2	NUM
fcis-3734	110	43	12(2	12(2	NUM
fcis-3734	110	44	)	)	PUNCT
fcis-3734	110	45	(	(	PUNCT
fcis-3734	110	46	1	1	X
fcis-3734	110	47	)	)	PUNCT
fcis-3734	110	48	2	2	NUM
fcis-3734	110	49	k	k	NOUN
fcis-3734	110	50	k	k	PROPN
fcis-3734	110	51	kk	kk	PROPN
fcis-3734	110	52	k	k	PROPN
fcis-3734	110	53	k	k	PROPN
fcis-3734	110	54			NOUN
fcis-3734	110	55			NOUN
fcis-3734	110	56			NOUN
fcis-3734	110	57			NOUN
fcis-3734	110	58	+	+	X
fcis-3734	111	1	+	+	CCONJ
fcis-3734	111	2	−	−	X
fcis-3734	111	3	+	+	NOUN
fcis-3734	111	4	=	=	SYM
fcis-3734	111	5	=	=	SYM
fcis-3734	111	6	(	(	PUNCT
fcis-3734	111	7	12	12	NUM
fcis-3734	111	8	)	)	PUNCT
fcis-3734	111	9	where	where	SCONJ
fcis-3734	111	10	(	(	PUNCT
fcis-3734	111	11	1)	1)	NOUN
fcis-3734	111	12	represent	represent	VERB
fcis-3734	111	13	the	the	DET
fcis-3734	111	14	average	average	ADJ
fcis-3734	111	15	tortuosity	tortuosity	NOUN
fcis-3734	111	16	of	of	ADP
fcis-3734	111	17	the	the	DET
fcis-3734	111	18	1ststage	1ststage	NUM
fcis-3734	111	19	sierpinski	sierpinski	ADJ
fcis-3734	111	20	carpet	carpet	NOUN
fcis-3734	111	21	with	with	ADP
fcis-3734	111	22	a	a	DET
fcis-3734	111	23	fractal	fractal	ADJ
fcis-3734	111	24	unit	unit	NOUN
fcis-3734	111	25	of	of	ADP
fcis-3734	111	26	k	k	PROPN
fcis-3734	111	27	k	k	PROPN
fcis-3734	111	28	,	,	PUNCT
fcis-3734	111	29	and	and	CCONJ
fcis-3734	111	30	(	(	PUNCT
fcis-3734	111	31	2)	2)	CCONJ
fcis-3734	111	32	represent	represent	VERB
fcis-3734	111	33	the	the	DET
fcis-3734	111	34	average	average	ADJ
fcis-3734	111	35	tortuosity	tortuosity	NOUN
fcis-3734	111	36	of	of	ADP
fcis-3734	111	37	the	the	DET
fcis-3734	111	38	2nd	2nd	ADJ
fcis-3734	111	39	-	-	PUNCT
fcis-3734	111	40	stage	stage	NOUN
fcis-3734	111	41	sierpinski	sierpinski	ADJ
fcis-3734	111	42	carpet	carpet	NOUN
fcis-3734	111	43	with	with	ADP
fcis-3734	111	44	a	a	DET
fcis-3734	111	45	fractal	fractal	ADJ
fcis-3734	111	46	unit	unit	NOUN
fcis-3734	111	47	of	of	ADP
fcis-3734	111	48	k	k	PROPN
fcis-3734	111	49	k	k	PROPN
fcis-3734	111	50	.	.	PUNCT
fcis-3734	112	1	by	by	ADP
fcis-3734	112	2	eq	eq	PROPN
fcis-3734	112	3	.	.	PUNCT
fcis-3734	113	1	(	(	PUNCT
fcis-3734	113	2	7	7	NUM
fcis-3734	113	3	)	)	PUNCT
fcis-3734	113	4	and	and	CCONJ
fcis-3734	113	5	eq	eq	NOUN
fcis-3734	113	6	.	.	PUNCT
fcis-3734	114	1	(	(	PUNCT
fcis-3734	114	2	12	12	NUM
fcis-3734	114	3	)	)	PUNCT
fcis-3734	114	4	,	,	PUNCT
fcis-3734	114	5	and	and	CCONJ
fcis-3734	114	6	so	so	ADV
fcis-3734	114	7	on	on	ADV
fcis-3734	114	8	,	,	PUNCT
fcis-3734	114	9	the	the	DET
fcis-3734	114	10	average	average	ADJ
fcis-3734	114	11	tortuosity	tortuosity	NOUN
fcis-3734	114	12	of	of	ADP
fcis-3734	114	13	the	the	DET
fcis-3734	114	14	1st	1st	ADJ
fcis-3734	114	15	-	-	PUNCT
fcis-3734	114	16	stage	stage	NOUN
fcis-3734	114	17	sierpinski	sierpinski	ADJ
fcis-3734	114	18	carpet	carpet	NOUN
fcis-3734	114	19	is	be	AUX
fcis-3734	114	20	2	2	NUM
fcis-3734	114	21	2	2	NUM
fcis-3734	114	22	2	2	NUM
fcis-3734	114	23	1	1	NUM
fcis-3734	114	24	(	(	PUNCT
fcis-3734	114	25	1	1	NUM
fcis-3734	114	26	)	)	PUNCT
fcis-3734	114	27	(	(	PUNCT
fcis-3734	114	28	)	)	PUNCT
fcis-3734	114	29	2	2	NUM
fcis-3734	114	30	k	k	NOUN
fcis-3734	114	31	n	n	CCONJ
fcis-3734	114	32	n	n	NOUN
fcis-3734	114	33	k	k	NOUN
fcis-3734	114	34			NOUN
fcis-3734	114	35			NOUN
fcis-3734	114	36	+	+	X
fcis-3734	115	1	+	+	CCONJ
fcis-3734	115	2	=	=	SYM
fcis-3734	115	3	(	(	PUNCT
fcis-3734	115	4	13	13	NUM
fcis-3734	115	5	)	)	PUNCT
fcis-3734	115	6	where	where	SCONJ
fcis-3734	115	7	0,1,2,n	0,1,2,n	NOUN
fcis-3734	115	8	=	=	PUNCT
fcis-3734	115	9	.	.	PUNCT
fcis-3734	116	1	represent	represent	VERB
fcis-3734	116	2	the	the	DET
fcis-3734	116	3	stages	stage	NOUN
fcis-3734	116	4	of	of	ADP
fcis-3734	116	5	the	the	DET
fcis-3734	116	6	sierpinski	sierpinski	ADJ
fcis-3734	116	7	carpet	carpet	NOUN
fcis-3734	116	8	with	with	ADP
fcis-3734	116	9	a	a	DET
fcis-3734	116	10	fractal	fractal	ADJ
fcis-3734	116	11	unit	unit	NOUN
fcis-3734	116	12	of	of	ADP
fcis-3734	116	13	k	k	PROPN
fcis-3734	116	14	k	k	PROPN
fcis-3734	116	15	.	.	PUNCT
fcis-3734	117	1	moreover	moreover	ADV
fcis-3734	117	2	,	,	PUNCT
fcis-3734	117	3	since	since	SCONJ
fcis-3734	117	4	(	(	PUNCT
fcis-3734	117	5	0	0	NUM
fcis-3734	117	6	)	)	PUNCT
fcis-3734	117	7	1	1	NUM
fcis-3734	117	8	=	=	NOUN
fcis-3734	117	9	,	,	PUNCT
fcis-3734	117	10	the	the	DET
fcis-3734	117	11	average	average	ADJ
fcis-3734	117	12	tortuosity	tortuosity	NOUN
fcis-3734	117	13	model	model	NOUN
fcis-3734	117	14	of	of	ADP
fcis-3734	117	15	sierpinski	sierpinski	ADJ
fcis-3734	117	16	carpet	carpet	NOUN
fcis-3734	117	17	with	with	ADP
fcis-3734	117	18	a	a	DET
fcis-3734	117	19	fractal	fractal	ADJ
fcis-3734	117	20	unit	unit	NOUN
fcis-3734	117	21	of	of	ADP
fcis-3734	117	22	k	k	PROPN
fcis-3734	117	23	k	k	PROPN
fcis-3734	117	24	can	can	AUX
fcis-3734	117	25	also	also	ADV
fcis-3734	117	26	be	be	AUX
fcis-3734	117	27	written	write	VERB
fcis-3734	117	28	as	as	ADP
fcis-3734	117	29	𝜏(𝑛	𝜏(𝑛	NOUN
fcis-3734	117	30	)	)	PUNCT
fcis-3734	117	31	=	=	SYM
fcis-3734	118	1	2𝑘2	2𝑘2	NUM
fcis-3734	119	1	+	+	CCONJ
fcis-3734	119	2	1	1	NUM
fcis-3734	119	3	2𝑘2	2𝑘2	NUM
fcis-3734	119	4	𝜏(𝑛	𝜏(𝑛	NOUN
fcis-3734	119	5	−	−	PROPN
fcis-3734	119	6	1	1	NUM
fcis-3734	119	7	)	)	PUNCT
fcis-3734	119	8	=	=	PRON
fcis-3734	120	1	(	(	PUNCT
fcis-3734	120	2	2𝑘2	2𝑘2	NUM
fcis-3734	120	3	+	+	CCONJ
fcis-3734	120	4	1	1	NUM
fcis-3734	120	5	2𝑘2	2𝑘2	NUM
fcis-3734	120	6	)	)	PUNCT
fcis-3734	120	7	2𝜏(𝑛	2𝜏(𝑛	NOUN
fcis-3734	120	8	−	−	NOUN
fcis-3734	120	9	2	2	X
fcis-3734	120	10	)	)	PUNCT
fcis-3734	120	11	=	=	SYM
fcis-3734	120	12	⋯	⋯	VERB
fcis-3734	120	13	=	=	SYM
fcis-3734	120	14	(	(	PUNCT
fcis-3734	120	15	2𝑘2	2𝑘2	NUM
fcis-3734	120	16	+	+	CCONJ
fcis-3734	120	17	1	1	NUM
fcis-3734	120	18	2𝑘2	2𝑘2	NUM
fcis-3734	120	19	)	)	PUNCT
fcis-3734	120	20	𝑛𝜏(0	𝑛𝜏(0	PROPN
fcis-3734	120	21	)	)	PUNCT
fcis-3734	120	22	=	=	PUNCT
fcis-3734	121	1	(	(	PUNCT
fcis-3734	121	2	2𝑘2	2𝑘2	NUM
fcis-3734	121	3	+	+	CCONJ
fcis-3734	121	4	1	1	NUM
fcis-3734	121	5	2𝑘2	2𝑘2	NUM
fcis-3734	121	6	)	)	PUNCT
fcis-3734	121	7	𝑛	𝑛	PROPN
fcis-3734	121	8	(	(	PUNCT
fcis-3734	121	9	14	14	NUM
fcis-3734	121	10	)	)	PUNCT
fcis-3734	121	11	where	where	SCONJ
fcis-3734	121	12	1k	1k	NOUN
fcis-3734	121	13			PROPN
fcis-3734	121	14	is	be	AUX
fcis-3734	121	15	a	a	DET
fcis-3734	121	16	positive	positive	ADJ
fcis-3734	121	17	integer	integer	NOUN
fcis-3734	121	18	and	and	CCONJ
fcis-3734	121	19	is	be	AUX
fcis-3734	121	20	odd	odd	ADJ
fcis-3734	121	21	,	,	PUNCT
fcis-3734	121	22	n	n	PRON
fcis-3734	121	23	is	be	AUX
fcis-3734	121	24	a	a	DET
fcis-3734	121	25	positive	positive	ADJ
fcis-3734	121	26	integer	integer	NOUN
fcis-3734	121	27	and	and	CCONJ
fcis-3734	121	28	(	(	PUNCT
fcis-3734	121	29	)	)	PUNCT
fcis-3734	121	30	n	n	NOUN
fcis-3734	121	31	is	be	AUX
fcis-3734	121	32	the	the	DET
fcis-3734	121	33	average	average	ADJ
fcis-3734	121	34	tortuosity	tortuosity	NOUN
fcis-3734	121	35	of	of	ADP
fcis-3734	121	36	the	the	DET
fcis-3734	121	37	nthstage	nthstage	NOUN
fcis-3734	121	38	sierpinski	sierpinski	ADJ
fcis-3734	121	39	carpet	carpet	NOUN
fcis-3734	121	40	with	with	ADP
fcis-3734	121	41	a	a	DET
fcis-3734	121	42	fractal	fractal	ADJ
fcis-3734	121	43	unit	unit	NOUN
fcis-3734	121	44	of	of	ADP
fcis-3734	121	45	k	k	PROPN
fcis-3734	121	46	k	k	PROPN
fcis-3734	121	47	.	.	PUNCT
fcis-3734	122	1	9	9	NUM
fcis-3734	122	2	2.3	2.3	NUM
fcis-3734	122	3	.	.	PUNCT
fcis-3734	123	1	optimization	optimization	NOUN
fcis-3734	123	2	of	of	ADP
fcis-3734	123	3	the	the	DET
fcis-3734	123	4	best	good	ADJ
fcis-3734	123	5	fractal	fractal	ADJ
fcis-3734	123	6	unit	unit	NOUN
fcis-3734	123	7	structure	structure	VERB
fcis-3734	123	8	the	the	DET
fcis-3734	123	9	porosity	porosity	NOUN
fcis-3734	123	10	of	of	ADP
fcis-3734	123	11	porous	porous	ADJ
fcis-3734	123	12	media	medium	NOUN
fcis-3734	123	13	materials	material	NOUN
fcis-3734	123	14	can	can	AUX
fcis-3734	123	15	be	be	AUX
fcis-3734	123	16	used	use	VERB
fcis-3734	123	17	to	to	PART
fcis-3734	123	18	construct	construct	VERB
fcis-3734	123	19	sierpinski	sierpinski	ADJ
fcis-3734	123	20	carpet	carpet	NOUN
fcis-3734	123	21	.	.	PUNCT
fcis-3734	124	1	and	and	CCONJ
fcis-3734	124	2	in	in	ADP
fcis-3734	124	3	turn	turn	NOUN
fcis-3734	124	4	,	,	PUNCT
fcis-3734	124	5	sierpinski	sierpinski	ADJ
fcis-3734	124	6	carpet	carpet	NOUN
fcis-3734	124	7	can	can	AUX
fcis-3734	124	8	also	also	ADV
fcis-3734	124	9	be	be	AUX
fcis-3734	124	10	used	use	VERB
fcis-3734	124	11	to	to	PART
fcis-3734	124	12	characterize	characterize	VERB
fcis-3734	124	13	the	the	DET
fcis-3734	124	14	internal	internal	ADJ
fcis-3734	124	15	microstructure	microstructure	NOUN
fcis-3734	124	16	of	of	ADP
fcis-3734	124	17	porous	porous	ADJ
fcis-3734	124	18	media	medium	NOUN
fcis-3734	124	19	materials	material	NOUN
fcis-3734	124	20	.	.	PUNCT
fcis-3734	125	1	when	when	SCONJ
fcis-3734	125	2	the	the	DET
fcis-3734	125	3	porosity	porosity	NOUN
fcis-3734	125	4	of	of	ADP
fcis-3734	125	5	sierpinski	sierpinski	ADJ
fcis-3734	125	6	carpet	carpet	NOUN
fcis-3734	125	7	is	be	AUX
fcis-3734	125	8	closer	close	ADJ
fcis-3734	125	9	to	to	ADP
fcis-3734	125	10	the	the	DET
fcis-3734	125	11	porosity	porosity	NOUN
fcis-3734	125	12	of	of	ADP
fcis-3734	125	13	porous	porous	ADJ
fcis-3734	125	14	media	medium	NOUN
fcis-3734	125	15	materials	material	NOUN
fcis-3734	125	16	,	,	PUNCT
fcis-3734	125	17	the	the	DET
fcis-3734	125	18	characterization	characterization	NOUN
fcis-3734	125	19	effect	effect	NOUN
fcis-3734	125	20	is	be	AUX
fcis-3734	125	21	better	well	ADJ
fcis-3734	125	22	.	.	PUNCT
fcis-3734	126	1	therefore	therefore	ADV
fcis-3734	126	2	,	,	PUNCT
fcis-3734	126	3	we	we	PRON
fcis-3734	126	4	are	be	AUX
fcis-3734	126	5	found	find	VERB
fcis-3734	126	6	the	the	DET
fcis-3734	126	7	best	good	ADJ
fcis-3734	126	8	fractal	fractal	ADJ
fcis-3734	126	9	unit	unit	NOUN
fcis-3734	126	10	structure	structure	NOUN
fcis-3734	126	11	by	by	ADP
fcis-3734	126	12	the	the	DET
fcis-3734	126	13	difference	difference	NOUN
fcis-3734	126	14	between	between	ADP
fcis-3734	126	15	the	the	DET
fcis-3734	126	16	porosity	porosity	NOUN
fcis-3734	126	17	after	after	ADP
fcis-3734	126	18	sierpinski	sierpinski	ADJ
fcis-3734	126	19	carpet	carpet	NOUN
fcis-3734	126	20	iteration	iteration	NOUN
fcis-3734	126	21	and	and	CCONJ
fcis-3734	126	22	the	the	DET
fcis-3734	126	23	real	real	ADJ
fcis-3734	126	24	porosity	porosity	NOUN
fcis-3734	126	25	.	.	PUNCT
fcis-3734	127	1	when	when	SCONJ
fcis-3734	127	2	the	the	DET
fcis-3734	127	3	difference	difference	NOUN
fcis-3734	127	4	between	between	ADP
fcis-3734	127	5	them	they	PRON
fcis-3734	127	6	is	be	AUX
fcis-3734	127	7	smaller	small	ADJ
fcis-3734	127	8	,	,	PUNCT
fcis-3734	127	9	the	the	DET
fcis-3734	127	10	internal	internal	ADJ
fcis-3734	127	11	structure	structure	NOUN
fcis-3734	127	12	of	of	ADP
fcis-3734	127	13	the	the	DET
fcis-3734	127	14	porous	porous	ADJ
fcis-3734	127	15	media	medium	NOUN
fcis-3734	127	16	material	material	NOUN
fcis-3734	127	17	is	be	AUX
fcis-3734	127	18	not	not	PART
fcis-3734	127	19	only	only	ADV
fcis-3734	127	20	better	well	ADJ
fcis-3734	127	21	,	,	PUNCT
fcis-3734	127	22	the	the	DET
fcis-3734	127	23	average	average	ADJ
fcis-3734	127	24	tortuosity	tortuosity	NOUN
fcis-3734	127	25	calculated	calculate	VERB
fcis-3734	127	26	by	by	ADP
fcis-3734	127	27	the	the	DET
fcis-3734	127	28	model	model	NOUN
fcis-3734	127	29	is	be	AUX
fcis-3734	127	30	but	but	CCONJ
fcis-3734	127	31	also	also	ADV
fcis-3734	127	32	more	more	ADV
fcis-3734	127	33	accurate	accurate	ADJ
fcis-3734	127	34	.	.	PUNCT
fcis-3734	128	1	the	the	DET
fcis-3734	128	2	true	true	ADJ
fcis-3734	128	3	porosity	porosity	NOUN
fcis-3734	128	4	of	of	ADP
fcis-3734	128	5	porous	porous	ADJ
fcis-3734	128	6	media	medium	NOUN
fcis-3734	128	7	materials	material	NOUN
fcis-3734	128	8	is	be	AUX
fcis-3734	128	9	set	set	VERB
fcis-3734	128	10	to	to	ADP
fcis-3734	128	11	0	0	NOUN
fcis-3734	128	12	.	.	PUNCT
fcis-3734	129	1	in	in	ADP
fcis-3734	129	2	the	the	DET
fcis-3734	129	3	1st	1st	ADJ
fcis-3734	129	4	-	-	PUNCT
fcis-3734	129	5	stage	stage	NOUN
fcis-3734	129	6	sierpinski	sierpinski	ADJ
fcis-3734	129	7	carpet	carpet	NOUN
fcis-3734	129	8	with	with	ADP
fcis-3734	129	9	a	a	DET
fcis-3734	129	10	fractal	fractal	ADJ
fcis-3734	129	11	unit	unit	NOUN
fcis-3734	129	12	of	of	ADP
fcis-3734	129	13	k	k	PROPN
fcis-3734	129	14	k	k	PROPN
fcis-3734	129	15	,	,	PUNCT
fcis-3734	129	16	since	since	SCONJ
fcis-3734	129	17	the	the	DET
fcis-3734	129	18	solid	solid	ADJ
fcis-3734	129	19	phase	phase	NOUN
fcis-3734	129	20	portion	portion	NOUN
fcis-3734	129	21	accounts	account	VERB
fcis-3734	129	22	for	for	ADP
fcis-3734	129	23	21/	21/	PROPN
fcis-3734	129	24	k	k	PROPN
fcis-3734	129	25	,	,	PUNCT
fcis-3734	129	26	its	its	PRON
fcis-3734	129	27	porosity	porosity	NOUN
fcis-3734	129	28	is	be	AUX
fcis-3734	129	29	:	:	PUNCT
fcis-3734	129	30	2	2	NUM
fcis-3734	129	31	1	1	NUM
fcis-3734	129	32	2	2	NUM
fcis-3734	129	33	2	2	NUM
fcis-3734	129	34	1	1	NUM
fcis-3734	129	35	1	1	NUM
fcis-3734	129	36	1	1	NUM
fcis-3734	129	37	k	k	NOUN
fcis-3734	129	38	k	k	PROPN
fcis-3734	129	39	k	k	PROPN
fcis-3734	129	40			PROPN
fcis-3734	129	41	−	−	PROPN
fcis-3734	129	42	=	=	SYM
fcis-3734	129	43	−	−	PROPN
fcis-3734	130	1	=	=	SYM
fcis-3734	130	2	(	(	PUNCT
fcis-3734	130	3	15	15	NUM
fcis-3734	130	4	)	)	PUNCT
fcis-3734	130	5	after	after	ADP
fcis-3734	130	6	n	n	PRON
fcis-3734	130	7	iterations	iteration	NOUN
fcis-3734	130	8	,	,	PUNCT
fcis-3734	130	9	the	the	DET
fcis-3734	130	10	porosity	porosity	NOUN
fcis-3734	130	11	of	of	ADP
fcis-3734	130	12	sierpinski	sierpinski	ADJ
fcis-3734	130	13	carpet	carpet	NOUN
fcis-3734	130	14	is	be	AUX
fcis-3734	130	15	:	:	PUNCT
fcis-3734	130	16	2	2	NUM
fcis-3734	130	17	2	2	NUM
fcis-3734	130	18	1	1	NUM
fcis-3734	130	19	(	(	PUNCT
fcis-3734	130	20	)	)	PUNCT
fcis-3734	130	21	n	n	CCONJ
fcis-3734	130	22	n	n	NOUN
fcis-3734	130	23	k	k	NOUN
fcis-3734	130	24	k	k	PROPN
fcis-3734	130	25			NOUN
fcis-3734	130	26	−	−	PROPN
fcis-3734	130	27	=	=	SYM
fcis-3734	130	28	(	(	PUNCT
fcis-3734	130	29	16	16	NUM
fcis-3734	130	30	)	)	PUNCT
fcis-3734	130	31	the	the	DET
fcis-3734	130	32	difference	difference	NOUN
fcis-3734	130	33	between	between	ADP
fcis-3734	130	34	the	the	DET
fcis-3734	130	35	true	true	ADJ
fcis-3734	130	36	porosity	porosity	NOUN
fcis-3734	130	37	of	of	ADP
fcis-3734	130	38	the	the	DET
fcis-3734	130	39	porous	porous	ADJ
fcis-3734	130	40	media	medium	NOUN
fcis-3734	130	41	material	material	NOUN
fcis-3734	130	42	and	and	CCONJ
fcis-3734	130	43	the	the	DET
fcis-3734	130	44	porosity	porosity	NOUN
fcis-3734	130	45	of	of	ADP
fcis-3734	130	46	the	the	DET
fcis-3734	130	47	sierpinski	sierpinski	ADJ
fcis-3734	130	48	carpet	carpet	NOUN
fcis-3734	130	49	iteration	iteration	NOUN
fcis-3734	130	50	is	be	AUX
fcis-3734	130	51	set	set	VERB
fcis-3734	130	52	to	to	PART
fcis-3734	130	53	be	be	AUX
fcis-3734	130	54	t	t	PROPN
fcis-3734	130	55	,	,	PUNCT
fcis-3734	130	56	which	which	PRON
fcis-3734	130	57	is	be	AUX
fcis-3734	130	58	defined	define	VERB
fcis-3734	130	59	as	as	ADP
fcis-3734	130	60	:	:	PUNCT
fcis-3734	130	61	2	2	NUM
fcis-3734	130	62	0	0	NUM
fcis-3734	130	63	0	0	NUM
fcis-3734	130	64	2	2	NUM
fcis-3734	130	65	1	1	NUM
fcis-3734	130	66	(	(	PUNCT
fcis-3734	130	67	)	)	PUNCT
fcis-3734	130	68	n	n	CCONJ
fcis-3734	130	69	n	n	PROPN
fcis-3734	130	70	k	k	NOUN
fcis-3734	130	71	t	t	PROPN
fcis-3734	130	72	k	k	PROPN
fcis-3734	130	73			NOUN
fcis-3734	130	74			NOUN
fcis-3734	130	75			NOUN
fcis-3734	130	76	−	−	NOUN
fcis-3734	130	77	=	=	SYM
fcis-3734	130	78	−	−	PROPN
fcis-3734	130	79	=	=	SYM
fcis-3734	131	1	−	−	PROPN
fcis-3734	131	2	(	(	PUNCT
fcis-3734	131	3	17	17	NUM
fcis-3734	131	4	)	)	PUNCT
fcis-3734	131	5	where	where	SCONJ
fcis-3734	131	6	1k	1k	NOUN
fcis-3734	131	7			PROPN
fcis-3734	131	8	is	be	AUX
fcis-3734	131	9	a	a	DET
fcis-3734	131	10	positive	positive	ADJ
fcis-3734	131	11	integer	integer	NOUN
fcis-3734	131	12	and	and	CCONJ
fcis-3734	131	13	odd	odd	ADJ
fcis-3734	131	14	,	,	PUNCT
fcis-3734	131	15	n	n	PRON
fcis-3734	131	16	is	be	AUX
fcis-3734	131	17	a	a	DET
fcis-3734	131	18	positive	positive	ADJ
fcis-3734	131	19	integer	integer	NOUN
fcis-3734	131	20	,	,	PUNCT
fcis-3734	131	21	0	0	NOUN
fcis-3734	131	22	is	be	AUX
fcis-3734	131	23	the	the	DET
fcis-3734	131	24	true	true	ADJ
fcis-3734	131	25	porosity	porosity	NOUN
fcis-3734	131	26	of	of	ADP
fcis-3734	131	27	the	the	DET
fcis-3734	131	28	porous	porous	ADJ
fcis-3734	131	29	media	medium	NOUN
fcis-3734	131	30	material	material	NOUN
fcis-3734	131	31	and	and	CCONJ
fcis-3734	131	32	n	n	NOUN
fcis-3734	131	33	is	be	AUX
fcis-3734	131	34	the	the	DET
fcis-3734	131	35	porosity	porosity	NOUN
fcis-3734	131	36	of	of	ADP
fcis-3734	131	37	the	the	DET
fcis-3734	131	38	nthstage	nthstage	NOUN
fcis-3734	131	39	sierpinski	sierpinski	ADJ
fcis-3734	131	40	carpet	carpet	NOUN
fcis-3734	131	41	with	with	ADP
fcis-3734	131	42	a	a	DET
fcis-3734	131	43	fractal	fractal	ADJ
fcis-3734	131	44	unit	unit	NOUN
fcis-3734	131	45	of	of	ADP
fcis-3734	131	46	k	k	PROPN
fcis-3734	131	47	k	k	PROPN
fcis-3734	131	48	.	.	PUNCT
fcis-3734	132	1	here	here	ADV
fcis-3734	132	2	,	,	PUNCT
fcis-3734	132	3	the	the	DET
fcis-3734	132	4	dimension	dimension	NOUN
fcis-3734	132	5	(	(	PUNCT
fcis-3734	132	6	k	k	NOUN
fcis-3734	132	7	)	)	PUNCT
fcis-3734	132	8	and	and	CCONJ
fcis-3734	132	9	the	the	DET
fcis-3734	132	10	number	number	NOUN
fcis-3734	132	11	of	of	ADP
fcis-3734	132	12	iterations	iteration	NOUN
fcis-3734	132	13	(	(	PUNCT
fcis-3734	132	14	n	n	CCONJ
fcis-3734	132	15	)	)	PUNCT
fcis-3734	132	16	of	of	ADP
fcis-3734	132	17	the	the	DET
fcis-3734	132	18	optimal	optimal	ADJ
fcis-3734	132	19	fractal	fractal	ADJ
fcis-3734	132	20	unit	unit	NOUN
fcis-3734	132	21	structure	structure	NOUN
fcis-3734	132	22	are	be	AUX
fcis-3734	132	23	obtained	obtain	VERB
fcis-3734	132	24	by	by	ADP
fcis-3734	132	25	establishing	establish	VERB
fcis-3734	132	26	an	an	DET
fcis-3734	132	27	optimization	optimization	NOUN
fcis-3734	132	28	model	model	NOUN
fcis-3734	132	29	:	:	PUNCT
fcis-3734	132	30	2	2	NUM
fcis-3734	132	31	0	0	NUM
fcis-3734	132	32	2	2	NUM
fcis-3734	132	33	1	1	NUM
fcis-3734	132	34	min	min	NOUN
fcis-3734	132	35	(	(	PUNCT
fcis-3734	132	36	)	)	PUNCT
fcis-3734	132	37	nk	nk	PROPN
fcis-3734	132	38	t	t	PROPN
fcis-3734	132	39	k	k	PROPN
fcis-3734	132	40			PROPN
fcis-3734	132	41	−	−	PROPN
fcis-3734	132	42	=	=	SYM
fcis-3734	132	43	−	−	PROPN
fcis-3734	132	44	(	(	PUNCT
fcis-3734	132	45	18	18	NUM
fcis-3734	132	46	)	)	PUNCT
fcis-3734	132	47	2	2	NUM
fcis-3734	132	48	0	0	NUM
fcis-3734	132	49	2	2	NUM
fcis-3734	132	50	.	.	PUNCT
fcis-3734	132	51	.	.	PUNCT
fcis-3734	133	1	1	1	NUM
fcis-3734	133	2	(	(	PUNCT
fcis-3734	133	3	  	  	SPACE
fcis-3734	133	4	1	1	NUM
fcis-3734	133	5	  	  	SPACE
fcis-3734	133	6	)	)	PUNCT
fcis-3734	133	7	1	1	NUM
fcis-3734	133	8	n	n	PROPN
fcis-3734	133	9	s	s	X
fcis-3734	133	10	k	k	NOUN
fcis-3734	133	11	is	be	AUX
fcis-3734	133	12	a	a	DET
fcis-3734	133	13	positive	positive	ADJ
fcis-3734	133	14	integer	integer	NOUN
fcis-3734	133	15	and	and	CCONJ
fcis-3734	133	16	is	be	AUX
fcis-3734	133	17	odd	odd	ADJ
fcis-3734	133	18	is	be	AUX
fcis-3734	133	19	a	a	DET
fcis-3734	133	20	positi	positi	PROPN
fcis-3734	133	21	t	t	PROPN
fcis-3734	133	22	ve	ve	VERB
fcis-3734	134	1	i	i	PROPN
fcis-3734	134	2	k	k	PROPN
fcis-3734	134	3	ntegn	ntegn	PROPN
fcis-3734	134	4	k	k	PROPN
fcis-3734	134	5	er	er	INTJ
fcis-3734	134	6			NOUN
fcis-3734	134	7			ADP
fcis-3734	134	8			NUM
fcis-3734	134	9			PROPN
fcis-3734	134	10			PROPN
fcis-3734	134	11	−	−	NOUN
fcis-3734	134	12			PROPN
fcis-3734	134	13			VERB
fcis-3734	134	14			NUM
fcis-3734	134	15			PROPN
fcis-3734	134	16	,	,	PUNCT
fcis-3734	134	17	，	，	PROPN
fcis-3734	134	18	。	。	PUNCT
fcis-3734	134	19	(	(	PUNCT
fcis-3734	134	20	19	19	NUM
fcis-3734	134	21	)	)	PUNCT
fcis-3734	134	22	from	from	ADP
fcis-3734	134	23	the	the	DET
fcis-3734	134	24	optimization	optimization	NOUN
fcis-3734	134	25	model	model	NOUN
fcis-3734	134	26	,	,	PUNCT
fcis-3734	134	27	k	k	PROPN
fcis-3734	134	28	and	and	CCONJ
fcis-3734	134	29	n	n	PROPN
fcis-3734	134	30	can	can	AUX
fcis-3734	134	31	be	be	AUX
fcis-3734	134	32	obtained	obtain	VERB
fcis-3734	134	33	and	and	CCONJ
fcis-3734	134	34	the	the	DET
fcis-3734	134	35	average	average	ADJ
fcis-3734	134	36	tortuosity	tortuosity	NOUN
fcis-3734	134	37	can	can	AUX
fcis-3734	134	38	be	be	AUX
fcis-3734	134	39	calculated	calculate	VERB
fcis-3734	134	40	.	.	PUNCT
fcis-3734	135	1	2.4	2.4	NUM
fcis-3734	135	2	.	.	PUNCT
fcis-3734	135	3	verification	verification	NOUN
fcis-3734	135	4	of	of	ADP
fcis-3734	135	5	the	the	DET
fcis-3734	135	6	average	average	ADJ
fcis-3734	135	7	tortuosity	tortuosity	NOUN
fcis-3734	135	8	calculation	calculation	NOUN
fcis-3734	135	9	model	model	VERB
fcis-3734	135	10	the	the	DET
fcis-3734	135	11	validity	validity	NOUN
fcis-3734	135	12	of	of	ADP
fcis-3734	135	13	the	the	DET
fcis-3734	135	14	model	model	NOUN
fcis-3734	135	15	is	be	AUX
fcis-3734	135	16	tested	test	VERB
fcis-3734	135	17	according	accord	VERB
fcis-3734	135	18	to	to	ADP
fcis-3734	135	19	the	the	DET
fcis-3734	135	20	three	three	NUM
fcis-3734	135	21	more	more	ADV
fcis-3734	135	22	accurate	accurate	ADJ
fcis-3734	135	23	models	model	NOUN
fcis-3734	135	24	in	in	ADP
fcis-3734	135	25	the	the	DET
fcis-3734	135	26	current	current	ADJ
fcis-3734	135	27	average	average	ADJ
fcis-3734	135	28	tortuosity	tortuosity	NOUN
fcis-3734	135	29	study	study	NOUN
fcis-3734	135	30	.	.	PUNCT
fcis-3734	136	1	koponen	koponen	PROPN
fcis-3734	137	1	[	[	X
fcis-3734	137	2	13	13	NUM
fcis-3734	137	3	]	]	PUNCT
fcis-3734	137	4	is	be	AUX
fcis-3734	137	5	used	use	VERB
fcis-3734	137	6	the	the	DET
fcis-3734	137	7	lattice	lattice	PROPN
fcis-3734	137	8	gas	gas	NOUN
fcis-3734	137	9	simulation	simulation	NOUN
fcis-3734	137	10	(	(	PUNCT
fcis-3734	137	11	lg	lg	NOUN
fcis-3734	137	12	)	)	PUNCT
fcis-3734	137	13	method	method	NOUN
fcis-3734	137	14	to	to	PART
fcis-3734	137	15	calculate	calculate	VERB
fcis-3734	137	16	the	the	DET
fcis-3734	137	17	average	average	ADJ
fcis-3734	137	18	tortuosity	tortuosity	NOUN
fcis-3734	137	19	of	of	ADP
fcis-3734	137	20	low	low	ADJ
fcis-3734	137	21	reynolds	reynold	NOUN
fcis-3734	137	22	number	number	NOUN
fcis-3734	137	23	flows	flow	VERB
fcis-3734	137	24	in	in	ADP
fcis-3734	137	25	a	a	DET
fcis-3734	137	26	two	two	NUM
fcis-3734	137	27	-	-	PUNCT
fcis-3734	137	28	dimensional	dimensional	ADJ
fcis-3734	137	29	matrix	matrix	NOUN
fcis-3734	137	30	formed	form	VERB
fcis-3734	137	31	by	by	ADP
fcis-3734	137	32	randomly	randomly	ADV
fcis-3734	137	33	placed	place	VERB
fcis-3734	137	34	fully	fully	ADV
fcis-3734	137	35	overlapped	overlapped	ADJ
fcis-3734	137	36	rectangles	rectangle	NOUN
fcis-3734	137	37	.	.	PUNCT
fcis-3734	138	1	the	the	DET
fcis-3734	138	2	formula	formula	NOUN
fcis-3734	138	3	is	be	AUX
fcis-3734	138	4	0.8(1	0.8(1	NOUN
fcis-3734	138	5	)	)	PUNCT
fcis-3734	138	6	1k	1k	NUM
fcis-3734	138	7	=	=	NOUN
fcis-3734	138	8	−	−	PROPN
fcis-3734	138	9	+	+	CCONJ
fcis-3734	138	10	(	(	PUNCT
fcis-3734	138	11	20	20	NUM
fcis-3734	138	12	)	)	PUNCT
fcis-3734	138	13	where	where	SCONJ
fcis-3734	138	14	0.8	0.8	NUM
fcis-3734	138	15	is	be	AUX
fcis-3734	138	16	the	the	DET
fcis-3734	138	17	fitting	fitting	ADJ
fcis-3734	138	18	constant	constant	ADJ
fcis-3734	138	19	,	,	PUNCT
fcis-3734	138	20			NOUN
fcis-3734	138	21	is	be	AUX
fcis-3734	138	22	the	the	DET
fcis-3734	138	23	porosity	porosity	NOUN
fcis-3734	138	24	of	of	ADP
fcis-3734	138	25	porous	porous	ADJ
fcis-3734	138	26	media	medium	NOUN
fcis-3734	138	27	,	,	PUNCT
fcis-3734	138	28	and	and	CCONJ
fcis-3734	138	29	k	k	PROPN
fcis-3734	138	30	is	be	AUX
fcis-3734	138	31	the	the	DET
fcis-3734	138	32	average	average	ADJ
fcis-3734	138	33	tortuosity	tortuosity	NOUN
fcis-3734	138	34	of	of	ADP
fcis-3734	138	35	porous	porous	ADJ
fcis-3734	138	36	media	medium	NOUN
fcis-3734	138	37	.	.	PUNCT
fcis-3734	139	1	comparing	compare	VERB
fcis-3734	139	2	it	it	PRON
fcis-3734	139	3	with	with	ADP
fcis-3734	139	4	the	the	DET
fcis-3734	139	5	results	result	NOUN
fcis-3734	139	6	of	of	ADP
fcis-3734	139	7	the	the	DET
fcis-3734	139	8	average	average	ADJ
fcis-3734	139	9	tortuosity	tortuosity	NOUN
fcis-3734	139	10	calculation	calculation	NOUN
fcis-3734	139	11	model	model	NOUN
fcis-3734	139	12	established	establish	VERB
fcis-3734	139	13	in	in	ADP
fcis-3734	139	14	this	this	DET
fcis-3734	139	15	paper	paper	NOUN
fcis-3734	139	16	,	,	PUNCT
fcis-3734	139	17	the	the	DET
fcis-3734	139	18	relative	relative	ADJ
fcis-3734	139	19	error	error	NOUN
fcis-3734	139	20	is	be	AUX
fcis-3734	139	21	|	|	ADV
fcis-3734	139	22	|	|	ADV
fcis-3734	140	1	100	100	NUM
fcis-3734	140	2	%	%	NOUN
fcis-3734	140	3	k	k	PROPN
fcis-3734	140	4	kerror	kerror	PROPN
fcis-3734	140	5			NOUN
fcis-3734	140	6			NOUN
fcis-3734	140	7			NOUN
fcis-3734	140	8	−	−	PROPN
fcis-3734	140	9	=	=	SYM
fcis-3734	140	10			PROPN
fcis-3734	140	11	(	(	PUNCT
fcis-3734	140	12	21	21	NUM
fcis-3734	140	13	)	)	PUNCT
fcis-3734	140	14	yuan	yuan	NOUN
fcis-3734	140	15	pei	pei	PROPN
fcis-3734	140	16	et	et	PROPN
fcis-3734	140	17	al	al	PROPN
fcis-3734	140	18	.	.	PUNCT
fcis-3734	141	1	[	[	X
fcis-3734	141	2	14	14	NUM
fcis-3734	141	3	]	]	PUNCT
fcis-3734	141	4	are	be	AUX
fcis-3734	141	5	derived	derive	VERB
fcis-3734	141	6	the	the	DET
fcis-3734	141	7	average	average	ADJ
fcis-3734	141	8	tortuosity	tortuosity	NOUN
fcis-3734	141	9	calculation	calculation	NOUN
fcis-3734	141	10	model	model	NOUN
fcis-3734	141	11	by	by	ADP
fcis-3734	141	12	n	n	NOUN
fcis-3734	141	13	iterations	iteration	NOUN
fcis-3734	141	14	of	of	ADP
fcis-3734	141	15	the	the	DET
fcis-3734	141	16	self	self	NOUN
fcis-3734	141	17	-	-	PUNCT
fcis-3734	141	18	similar	similar	ADJ
fcis-3734	141	19	sierpinski	sierpinski	ADJ
fcis-3734	141	20	carpet	carpet	NOUN
fcis-3734	141	21	model	model	NOUN
fcis-3734	141	22	:	:	PUNCT
fcis-3734	141	23	3	3	NUM
fcis-3734	141	24	1	1	NUM
fcis-3734	141	25	2	2	NUM
fcis-3734	141	26	2	2	NUM
fcis-3734	141	27	yp	yp	NOUN
fcis-3734	141	28	=	=	NOUN
fcis-3734	141	29	−	−	PROPN
fcis-3734	141	30	(	(	PUNCT
fcis-3734	141	31	22	22	NUM
fcis-3734	141	32	)	)	PUNCT
fcis-3734	141	33	where	where	SCONJ
fcis-3734	141	34	0.8	0.8	NUM
fcis-3734	141	35	is	be	AUX
fcis-3734	141	36	the	the	DET
fcis-3734	141	37	fitting	fitting	ADJ
fcis-3734	141	38	constant	constant	ADJ
fcis-3734	141	39	,	,	PUNCT
fcis-3734	141	40			NOUN
fcis-3734	141	41	is	be	AUX
fcis-3734	141	42	the	the	DET
fcis-3734	141	43	porosity	porosity	NOUN
fcis-3734	141	44	of	of	ADP
fcis-3734	141	45	porous	porous	ADJ
fcis-3734	141	46	media	medium	NOUN
fcis-3734	141	47	,	,	PUNCT
fcis-3734	141	48	and	and	CCONJ
fcis-3734	141	49	yp	yp	NOUN
fcis-3734	141	50	is	be	AUX
fcis-3734	141	51	the	the	DET
fcis-3734	141	52	average	average	ADJ
fcis-3734	141	53	tortuosity	tortuosity	NOUN
fcis-3734	141	54	of	of	ADP
fcis-3734	141	55	porous	porous	ADJ
fcis-3734	141	56	media	medium	NOUN
fcis-3734	141	57	.	.	PUNCT
fcis-3734	142	1	comparing	compare	VERB
fcis-3734	142	2	it	it	PRON
fcis-3734	142	3	with	with	ADP
fcis-3734	142	4	the	the	DET
fcis-3734	142	5	results	result	NOUN
fcis-3734	142	6	of	of	ADP
fcis-3734	142	7	the	the	DET
fcis-3734	142	8	average	average	ADJ
fcis-3734	142	9	tortuosity	tortuosity	NOUN
fcis-3734	142	10	calculation	calculation	NOUN
fcis-3734	142	11	model	model	NOUN
fcis-3734	142	12	established	establish	VERB
fcis-3734	142	13	in	in	ADP
fcis-3734	142	14	this	this	DET
fcis-3734	142	15	paper	paper	NOUN
fcis-3734	142	16	,	,	PUNCT
fcis-3734	142	17	the	the	DET
fcis-3734	142	18	relative	relative	ADJ
fcis-3734	142	19	error	error	NOUN
fcis-3734	142	20	is	be	AUX
fcis-3734	142	21	|	|	ADV
fcis-3734	142	22	|	|	ADV
fcis-3734	142	23	100	100	NUM
fcis-3734	142	24	%	%	NOUN
fcis-3734	142	25	yp	yp	PROPN
fcis-3734	142	26	yperror	yperror	PROPN
fcis-3734	143	1			PROPN
fcis-3734	143	2			NOUN
fcis-3734	143	3			NOUN
fcis-3734	143	4	−	−	PROPN
fcis-3734	143	5	=	=	SYM
fcis-3734	143	6			PROPN
fcis-3734	143	7	(	(	PUNCT
fcis-3734	143	8	23	23	NUM
fcis-3734	143	9	)	)	PUNCT
fcis-3734	143	10	du	du	PROPN
fcis-3734	143	11	peng	peng	PROPN
fcis-3734	143	12	et	et	PROPN
fcis-3734	143	13	al	al	PROPN
fcis-3734	143	14	.	.	PUNCT
fcis-3734	144	1	[	[	X
fcis-3734	144	2	4	4	NUM
fcis-3734	144	3	]	]	PUNCT
fcis-3734	144	4	are	be	AUX
fcis-3734	144	5	summarized	summarize	VERB
fcis-3734	144	6	the	the	DET
fcis-3734	144	7	relationship	relationship	NOUN
fcis-3734	144	8	between	between	ADP
fcis-3734	144	9	tortuosity	tortuosity	NOUN
fcis-3734	144	10	and	and	CCONJ
fcis-3734	144	11	porosity	porosity	NOUN
fcis-3734	144	12	in	in	ADP
fcis-3734	144	13	sierpinski	sierpinski	ADJ
fcis-3734	144	14	carpets	carpet	NOUN
fcis-3734	144	15	at	at	ADP
fcis-3734	144	16	low	low	ADJ
fcis-3734	144	17	reynolds	reynolds	PROPN
fcis-3734	144	18	numbers	number	NOUN
fcis-3734	144	19	as	as	ADP
fcis-3734	144	20	:	:	SYM
fcis-3734	144	21	1	1	NUM
fcis-3734	144	22	(	(	PUNCT
fcis-3734	144	23	1	1	NUM
fcis-3734	144	24	2)(1	2)(1	NUM
fcis-3734	144	25	)	)	PUNCT
fcis-3734	144	26	dp	dp	PROPN
fcis-3734	144	27	=	=	NOUN
fcis-3734	144	28	−	−	PROPN
fcis-3734	144	29	−	−	PROPN
fcis-3734	144	30	−	−	PROPN
fcis-3734	144	31	(	(	PUNCT
fcis-3734	144	32	24	24	NUM
fcis-3734	144	33	)	)	PUNCT
fcis-3734	144	34	where	where	SCONJ
fcis-3734	144	35	0.8	0.8	NUM
fcis-3734	144	36	is	be	AUX
fcis-3734	144	37	the	the	DET
fcis-3734	144	38	fitting	fitting	ADJ
fcis-3734	144	39	constant	constant	ADJ
fcis-3734	144	40	,	,	PUNCT
fcis-3734	144	41			NOUN
fcis-3734	144	42	is	be	AUX
fcis-3734	144	43	the	the	DET
fcis-3734	144	44	porosity	porosity	NOUN
fcis-3734	144	45	of	of	ADP
fcis-3734	144	46	porous	porous	ADJ
fcis-3734	144	47	media	medium	NOUN
fcis-3734	144	48	,	,	PUNCT
fcis-3734	144	49	and	and	CCONJ
fcis-3734	144	50	dp	dp	PROPN
fcis-3734	144	51	is	be	AUX
fcis-3734	144	52	the	the	DET
fcis-3734	144	53	average	average	ADJ
fcis-3734	144	54	tortuosity	tortuosity	NOUN
fcis-3734	144	55	of	of	ADP
fcis-3734	144	56	porous	porous	ADJ
fcis-3734	144	57	media	medium	NOUN
fcis-3734	144	58	.	.	PUNCT
fcis-3734	145	1	comparing	compare	VERB
fcis-3734	145	2	it	it	PRON
fcis-3734	145	3	with	with	ADP
fcis-3734	145	4	the	the	DET
fcis-3734	145	5	results	result	NOUN
fcis-3734	145	6	of	of	ADP
fcis-3734	145	7	the	the	DET
fcis-3734	145	8	average	average	ADJ
fcis-3734	145	9	tortuosity	tortuosity	NOUN
fcis-3734	145	10	calculation	calculation	NOUN
fcis-3734	145	11	model	model	NOUN
fcis-3734	145	12	established	establish	VERB
fcis-3734	145	13	in	in	ADP
fcis-3734	145	14	this	this	DET
fcis-3734	145	15	paper	paper	NOUN
fcis-3734	145	16	,	,	PUNCT
fcis-3734	145	17	the	the	DET
fcis-3734	145	18	relative	relative	ADJ
fcis-3734	145	19	error	error	NOUN
fcis-3734	145	20	is	be	AUX
fcis-3734	145	21	|	|	ADV
fcis-3734	145	22	|	|	ADV
fcis-3734	146	1	100	100	NUM
fcis-3734	146	2	%	%	NOUN
fcis-3734	146	3	dp	dp	NOUN
fcis-3734	146	4	dperror	dperror	PROPN
fcis-3734	146	5			NOUN
fcis-3734	146	6			NOUN
fcis-3734	146	7			NOUN
fcis-3734	146	8	−	−	PROPN
fcis-3734	146	9	=	=	SYM
fcis-3734	146	10			PROPN
fcis-3734	146	11	(	(	PUNCT
fcis-3734	146	12	25	25	NUM
fcis-3734	146	13	)	)	PUNCT
fcis-3734	146	14	therefore	therefore	ADV
fcis-3734	146	15	,	,	PUNCT
fcis-3734	146	16	the	the	DET
fcis-3734	146	17	validity	validity	NOUN
fcis-3734	146	18	of	of	ADP
fcis-3734	146	19	the	the	DET
fcis-3734	146	20	average	average	ADJ
fcis-3734	146	21	tortuosity	tortuosity	NOUN
fcis-3734	146	22	calculation	calculation	NOUN
fcis-3734	146	23	model	model	NOUN
fcis-3734	146	24	established	establish	VERB
fcis-3734	146	25	in	in	ADP
fcis-3734	146	26	this	this	DET
fcis-3734	146	27	paper	paper	NOUN
fcis-3734	146	28	can	can	AUX
fcis-3734	146	29	be	be	AUX
fcis-3734	146	30	tested	test	VERB
fcis-3734	146	31	by	by	ADP
fcis-3734	146	32	observing	observe	VERB
fcis-3734	146	33	the	the	DET
fcis-3734	146	34	size	size	NOUN
fcis-3734	146	35	of	of	ADP
fcis-3734	146	36	k	k	PROPN
fcis-3734	146	37	error	error	PROPN
fcis-3734	146	38	,	,	PUNCT
fcis-3734	146	39	yp	yp	PROPN
fcis-3734	146	40	error	error	X
fcis-3734	146	41	and	and	CCONJ
fcis-3734	146	42	dp	dp	NOUN
fcis-3734	146	43	error	error	PROPN
fcis-3734	146	44	.	.	PUNCT
fcis-3734	147	1	in	in	ADP
fcis-3734	147	2	this	this	DET
fcis-3734	147	3	paper	paper	NOUN
fcis-3734	147	4	,	,	PUNCT
fcis-3734	147	5	when	when	SCONJ
fcis-3734	147	6	the	the	DET
fcis-3734	147	7	three	three	NUM
fcis-3734	147	8	relative	relative	ADJ
fcis-3734	147	9	errors	error	NOUN
fcis-3734	147	10	are	be	AUX
fcis-3734	147	11	less	less	ADJ
fcis-3734	147	12	than	than	ADP
fcis-3734	147	13	0.1	0.1	NUM
fcis-3734	147	14	%	%	NOUN
fcis-3734	147	15	,	,	PUNCT
fcis-3734	147	16	the	the	DET
fcis-3734	147	17	average	average	ADJ
fcis-3734	147	18	tortuosity	tortuosity	NOUN
fcis-3734	147	19	calculation	calculation	NOUN
fcis-3734	147	20	model	model	NOUN
fcis-3734	147	21	of	of	ADP
fcis-3734	147	22	porous	porous	ADJ
fcis-3734	147	23	media	medium	NOUN
fcis-3734	147	24	materials	material	NOUN
fcis-3734	147	25	is	be	AUX
fcis-3734	147	26	effective	effective	ADJ
fcis-3734	147	27	.	.	PUNCT
fcis-3734	148	1	3	3	X
fcis-3734	148	2	.	.	X
fcis-3734	148	3	application	application	NOUN
fcis-3734	148	4	and	and	CCONJ
fcis-3734	148	5	test	test	NOUN
fcis-3734	148	6	of	of	ADP
fcis-3734	148	7	the	the	DET
fcis-3734	148	8	average	average	ADJ
fcis-3734	148	9	tortuosity	tortuosity	NOUN
fcis-3734	148	10	model	model	NOUN
fcis-3734	148	11	3.1	3.1	NUM
fcis-3734	148	12	.	.	PUNCT
fcis-3734	149	1	application	application	NOUN
fcis-3734	149	2	of	of	ADP
fcis-3734	149	3	the	the	DET
fcis-3734	149	4	average	average	ADJ
fcis-3734	149	5	tortuosity	tortuosity	NOUN
fcis-3734	149	6	model	model	NOUN
fcis-3734	149	7	in	in	ADP
fcis-3734	149	8	this	this	DET
fcis-3734	149	9	paper	paper	NOUN
fcis-3734	149	10	,	,	PUNCT
fcis-3734	149	11	five	five	NUM
fcis-3734	149	12	aramid	aramid	NOUN
fcis-3734	149	13	nanofiber	nanofiber	NOUN
fcis-3734	149	14	aerogels	aerogel	NOUN
fcis-3734	149	15	(	(	PUNCT
fcis-3734	149	16	anfas	anfas	NOUN
fcis-3734	149	17	)	)	PUNCT
fcis-3734	149	18	samples	sample	NOUN
fcis-3734	149	19	were	be	AUX
fcis-3734	149	20	selected	select	VERB
fcis-3734	149	21	.	.	PUNCT
fcis-3734	150	1	the	the	DET
fcis-3734	150	2	preparation	preparation	NOUN
fcis-3734	150	3	method	method	NOUN
fcis-3734	150	4	was	be	AUX
fcis-3734	150	5	used	use	VERB
fcis-3734	150	6	koh	koh	PROPN
fcis-3734	150	7	/	/	SYM
fcis-3734	150	8	dmso	dmso	NOUN
fcis-3734	150	9	to	to	PART
fcis-3734	150	10	deprotonate	deprotonate	VERB
fcis-3734	150	11	aramid	aramid	NOUN
fcis-3734	150	12	fibers	fiber	NOUN
fcis-3734	150	13	to	to	PART
fcis-3734	150	14	obtain	obtain	VERB
fcis-3734	150	15	aramid	aramid	NOUN
fcis-3734	150	16	nanofiber	nanofiber	NOUN
fcis-3734	150	17	dispersions	dispersion	NOUN
fcis-3734	150	18	,	,	PUNCT
fcis-3734	150	19	and	and	CCONJ
fcis-3734	150	20	then	then	ADV
fcis-3734	150	21	was	be	AUX
fcis-3734	150	22	used	use	VERB
fcis-3734	150	23	water	water	NOUN
fcis-3734	150	24	to	to	PART
fcis-3734	150	25	reduce	reduce	VERB
fcis-3734	150	26	their	their	PRON
fcis-3734	150	27	structures	structure	NOUN
fcis-3734	150	28	.	.	PUNCT
fcis-3734	151	1	finally	finally	ADV
fcis-3734	151	2	,	,	PUNCT
fcis-3734	151	3	aramid	aramid	NOUN
fcis-3734	151	4	nanofiber	nanofiber	NOUN
fcis-3734	151	5	aerogels	aerogel	NOUN
fcis-3734	151	6	were	be	AUX
fcis-3734	151	7	obtained	obtain	VERB
fcis-3734	151	8	.	.	PUNCT
fcis-3734	152	1	the	the	DET
fcis-3734	152	2	fractal	fractal	ADJ
fcis-3734	152	3	dimensions	dimension	NOUN
fcis-3734	152	4	at	at	ADP
fcis-3734	152	5	different	different	ADJ
fcis-3734	152	6	magnifications	magnification	NOUN
fcis-3734	152	7	are	be	AUX
fcis-3734	152	8	close	close	ADJ
fcis-3734	152	9	,	,	PUNCT
fcis-3734	152	10	and	and	CCONJ
fcis-3734	152	11	anfas	anfas	NOUN
fcis-3734	152	12	is	be	AUX
fcis-3734	152	13	statistical	statistical	ADJ
fcis-3734	152	14	self	self	NOUN
fcis-3734	152	15	-	-	PUNCT
fcis-3734	152	16	similarity	similarity	NOUN
fcis-3734	153	1	[	[	X
fcis-3734	153	2	18	18	NUM
fcis-3734	153	3	]	]	PUNCT
fcis-3734	153	4	.	.	PUNCT
fcis-3734	154	1	according	accord	VERB
fcis-3734	154	2	to	to	ADP
fcis-3734	154	3	the	the	DET
fcis-3734	154	4	porosity	porosity	NOUN
fcis-3734	154	5	of	of	ADP
fcis-3734	154	6	5	5	NUM
fcis-3734	154	7	samples	sample	NOUN
fcis-3734	154	8	,	,	PUNCT
fcis-3734	154	9	the	the	DET
fcis-3734	154	10	number	number	NOUN
fcis-3734	154	11	of	of	ADP
fcis-3734	154	12	iterations	iteration	NOUN
fcis-3734	154	13	of	of	ADP
fcis-3734	154	14	sierpinski	sierpinski	ADJ
fcis-3734	154	15	carpet	carpet	NOUN
fcis-3734	154	16	with	with	ADP
fcis-3734	154	17	10	10	NUM
fcis-3734	154	18	different	different	ADJ
fcis-3734	154	19	fractal	fractal	ADJ
fcis-3734	154	20	unit	unit	NOUN
fcis-3734	154	21	structures	structure	NOUN
fcis-3734	154	22	can	can	AUX
fcis-3734	154	23	be	be	AUX
fcis-3734	154	24	calculated	calculate	VERB
fcis-3734	154	25	respectively	respectively	ADV
fcis-3734	154	26	.	.	PUNCT
fcis-3734	155	1	the	the	DET
fcis-3734	155	2	following	follow	VERB
fcis-3734	155	3	table	table	NOUN
fcis-3734	155	4	shows	show	VERB
fcis-3734	155	5	:	:	PUNCT
fcis-3734	155	6	this	this	DET
fcis-3734	155	7	paper	paper	NOUN
fcis-3734	155	8	expects	expect	VERB
fcis-3734	155	9	to	to	PART
fcis-3734	155	10	use	use	VERB
fcis-3734	155	11	small	small	ADJ
fcis-3734	155	12	dimension	dimension	NOUN
fcis-3734	155	13	fractal	fractal	ADJ
fcis-3734	155	14	unit	unit	NOUN
fcis-3734	155	15	structure	structure	NOUN
fcis-3734	155	16	to	to	PART
fcis-3734	155	17	characterize	characterize	VERB
fcis-3734	155	18	porous	porous	ADJ
fcis-3734	155	19	media	medium	NOUN
fcis-3734	155	20	materials	material	NOUN
fcis-3734	155	21	in	in	ADP
fcis-3734	155	22	the	the	DET
fcis-3734	155	23	case	case	NOUN
fcis-3734	155	24	of	of	ADP
fcis-3734	155	25	small	small	ADJ
fcis-3734	155	26	error	error	NOUN
fcis-3734	155	27	.	.	PUNCT
fcis-3734	156	1	taking	take	VERB
fcis-3734	156	2	sample	sample	NOUN
fcis-3734	156	3	1	1	NUM
fcis-3734	156	4	as	as	ADP
fcis-3734	156	5	an	an	DET
fcis-3734	156	6	example	example	NOUN
fcis-3734	156	7	,	,	PUNCT
fcis-3734	156	8	the	the	DET
fcis-3734	156	9	difference	difference	NOUN
fcis-3734	156	10	between	between	ADP
fcis-3734	156	11	its	its	PRON
fcis-3734	156	12	true	true	ADJ
fcis-3734	156	13	porosity	porosity	NOUN
fcis-3734	156	14	and	and	CCONJ
fcis-3734	156	15	the	the	DET
fcis-3734	156	16	porosity	porosity	NOUN
fcis-3734	156	17	of	of	ADP
fcis-3734	156	18	sierpinski	sierpinski	ADJ
fcis-3734	156	19	carpet	carpet	NOUN
fcis-3734	156	20	10	10	NUM
fcis-3734	156	21	with	with	ADP
fcis-3734	156	22	fractal	fractal	ADJ
fcis-3734	156	23	unit	unit	NOUN
fcis-3734	156	24	structure	structure	NOUN
fcis-3734	156	25	of	of	ADP
fcis-3734	156	26	21	21	NUM
fcis-3734	156	27	21	21	NUM
fcis-3734	156	28	is	be	AUX
fcis-3734	156	29	only	only	ADV
fcis-3734	156	30	0.002039	0.002039	NUM
fcis-3734	156	31	.	.	PUNCT
fcis-3734	157	1	and	and	CCONJ
fcis-3734	157	2	the	the	DET
fcis-3734	157	3	relative	relative	ADJ
fcis-3734	157	4	error	error	NOUN
fcis-3734	157	5	is	be	AUX
fcis-3734	157	6	0.21	0.21	NUM
fcis-3734	157	7	%	%	NOUN
fcis-3734	157	8	,	,	PUNCT
fcis-3734	157	9	which	which	PRON
fcis-3734	157	10	can	can	AUX
fcis-3734	157	11	well	well	ADV
fcis-3734	157	12	characterize	characterize	VERB
fcis-3734	157	13	the	the	DET
fcis-3734	157	14	internal	internal	ADJ
fcis-3734	157	15	microstructure	microstructure	NOUN
fcis-3734	157	16	of	of	ADP
fcis-3734	157	17	anfas	anfas	NOUN
fcis-3734	157	18	.	.	PUNCT
fcis-3734	158	1	therefore	therefore	ADV
fcis-3734	158	2	,	,	PUNCT
fcis-3734	158	3	this	this	DET
fcis-3734	158	4	paper	paper	NOUN
fcis-3734	158	5	only	only	ADV
fcis-3734	158	6	lists	list	VERB
fcis-3734	158	7	the	the	DET
fcis-3734	158	8	sierpinski	sierpinski	ADJ
fcis-3734	158	9	carpet	carpet	NOUN
fcis-3734	158	10	data	datum	NOUN
fcis-3734	158	11	of	of	ADP
fcis-3734	158	12	10	10	NUM
fcis-3734	158	13	fractal	fractal	ADJ
fcis-3734	158	14	unit	unit	NOUN
fcis-3734	158	15	structures	structure	NOUN
fcis-3734	158	16	,	,	PUNCT
fcis-3734	158	17	without	without	ADP
fcis-3734	158	18	considering	consider	VERB
fcis-3734	158	19	the	the	DET
fcis-3734	158	20	higher	higher	ADV
fcis-3734	158	21	-	-	PUNCT
fcis-3734	158	22	dimensional	dimensional	ADJ
fcis-3734	158	23	fractal	fractal	ADJ
fcis-3734	158	24	unit	unit	NOUN
fcis-3734	158	25	structure	structure	NOUN
fcis-3734	158	26	.	.	PUNCT
fcis-3734	159	1	table	table	NOUN
fcis-3734	159	2	1	1	NUM
fcis-3734	159	3	.	.	PUNCT
fcis-3734	160	1	the	the	DET
fcis-3734	160	2	number	number	NOUN
fcis-3734	160	3	of	of	ADP
fcis-3734	160	4	iterations	iteration	NOUN
fcis-3734	160	5	of	of	ADP
fcis-3734	160	6	5	5	NUM
fcis-3734	160	7	samples	sample	NOUN
fcis-3734	160	8	under	under	ADP
fcis-3734	160	9	sierpinski	sierpinski	ADJ
fcis-3734	160	10	carpets	carpet	NOUN
fcis-3734	160	11	with	with	ADP
fcis-3734	160	12	different	different	ADJ
fcis-3734	160	13	fractal	fractal	ADJ
fcis-3734	160	14	structures	structure	NOUN
fcis-3734	160	15	by	by	ADP
fcis-3734	160	16	eq	eq	PROPN
fcis-3734	160	17	.	.	PUNCT
fcis-3734	160	18	(	(	PUNCT
fcis-3734	160	19	18	18	NUM
fcis-3734	160	20	)	)	PUNCT
fcis-3734	160	21	and	and	CCONJ
fcis-3734	160	22	eq	eq	NOUN
fcis-3734	160	23	.	.	PUNCT
fcis-3734	160	24	(	(	PUNCT
fcis-3734	160	25	19	19	NUM
fcis-3734	160	26	)	)	PUNCT
fcis-3734	160	27	,	,	PUNCT
fcis-3734	160	28	the	the	DET
fcis-3734	160	29	best	good	ADJ
fcis-3734	160	30	fractal	fractal	ADJ
fcis-3734	160	31	unit	unit	NOUN
fcis-3734	160	32	structures	structure	NOUN
fcis-3734	160	33	of	of	ADP
fcis-3734	160	34	the	the	DET
fcis-3734	160	35	five	five	NUM
fcis-3734	160	36	samples	sample	NOUN
fcis-3734	160	37	are	be	AUX
fcis-3734	160	38	17	17	NUM
fcis-3734	160	39	17	17	NUM
fcis-3734	160	40	,	,	PUNCT
fcis-3734	160	41	17	17	NUM
fcis-3734	160	42	17	17	NUM
fcis-3734	160	43	,	,	PUNCT
fcis-3734	160	44	17	17	NUM
fcis-3734	160	45	17	17	NUM
fcis-3734	160	46	,	,	PUNCT
fcis-3734	160	47	19	19	NUM
fcis-3734	160	48	19	19	NUM
fcis-3734	160	49	,	,	PUNCT
fcis-3734	160	50	9	9	NUM
fcis-3734	160	51	9	9	NUM
fcis-3734	160	52	,	,	PUNCT
fcis-3734	160	53	and	and	CCONJ
fcis-3734	160	54	the	the	DET
fcis-3734	160	55	number	number	NOUN
fcis-3734	160	56	of	of	ADP
fcis-3734	160	57	iterations	iteration	NOUN
fcis-3734	160	58	are	be	AUX
fcis-3734	160	59	3	3	NUM
fcis-3734	160	60	,	,	PUNCT
fcis-3734	160	61	3	3	NUM
fcis-3734	160	62	,	,	PUNCT
fcis-3734	160	63	3	3	NUM
fcis-3734	160	64	,	,	PUNCT
fcis-3734	160	65	4	4	NUM
fcis-3734	160	66	,	,	PUNCT
fcis-3734	160	67	1	1	NUM
fcis-3734	160	68	,	,	PUNCT
fcis-3734	160	69	respectively	respectively	ADV
fcis-3734	160	70	.	.	PUNCT
fcis-3734	161	1	according	accord	VERB
fcis-3734	161	2	to	to	ADP
fcis-3734	161	3	eq	eq	PROPN
fcis-3734	161	4	.	.	PUNCT
fcis-3734	162	1	(	(	PUNCT
fcis-3734	162	2	14	14	NUM
fcis-3734	162	3	)	)	PUNCT
fcis-3734	162	4	,	,	PUNCT
fcis-3734	162	5	the	the	DET
fcis-3734	162	6	average	average	ADJ
fcis-3734	162	7	tortuosity	tortuosity	NOUN
fcis-3734	162	8	of	of	ADP
fcis-3734	162	9	the	the	DET
fcis-3734	162	10	five	five	NUM
fcis-3734	162	11	samples	sample	NOUN
fcis-3734	162	12	under	under	ADP
fcis-3734	162	13	the	the	DET
fcis-3734	162	14	sierpinski	sierpinski	ADJ
fcis-3734	162	15	carpet	carpet	NOUN
fcis-3734	162	16	of	of	ADP
fcis-3734	162	17	the	the	DET
fcis-3734	162	18	corresponding	corresponding	ADJ
fcis-3734	162	19	fractal	fractal	ADJ
fcis-3734	162	20	unit	unit	NOUN
fcis-3734	162	21	structure	structure	NOUN
fcis-3734	162	22	can	can	AUX
fcis-3734	162	23	be	be	AUX
fcis-3734	162	24	calculated	calculate	VERB
fcis-3734	162	25	.	.	PUNCT
fcis-3734	163	1	the	the	DET
fcis-3734	163	2	results	result	NOUN
fcis-3734	163	3	are	be	AUX
fcis-3734	163	4	shown	show	VERB
fcis-3734	163	5	in	in	ADP
fcis-3734	163	6	table	table	NOUN
fcis-3734	163	7	2	2	NUM
fcis-3734	163	8	:	:	PUNCT
fcis-3734	163	9	table	table	NOUN
fcis-3734	163	10	2	2	NUM
fcis-3734	163	11	.	.	PUNCT
fcis-3734	164	1	the	the	DET
fcis-3734	164	2	average	average	ADJ
fcis-3734	164	3	tortuosity	tortuosity	NOUN
fcis-3734	164	4	calculation	calculation	NOUN
fcis-3734	164	5	results	result	NOUN
fcis-3734	164	6	of	of	ADP
fcis-3734	164	7	5	5	NUM
fcis-3734	164	8	samples	sample	NOUN
fcis-3734	164	9	according	accord	VERB
fcis-3734	164	10	to	to	ADP
fcis-3734	164	11	table	table	NOUN
fcis-3734	164	12	2	2	NUM
fcis-3734	164	13	,	,	PUNCT
fcis-3734	164	14	when	when	SCONJ
fcis-3734	164	15	the	the	DET
fcis-3734	164	16	porosity	porosity	NOUN
fcis-3734	164	17	is	be	AUX
fcis-3734	164	18	larger	large	ADJ
fcis-3734	164	19	,	,	PUNCT
fcis-3734	164	20	the	the	DET
fcis-3734	164	21	average	average	ADJ
fcis-3734	164	22	tortuosity	tortuosity	NOUN
fcis-3734	164	23	is	be	AUX
fcis-3734	164	24	gradually	gradually	ADV
fcis-3734	164	25	reduced	reduce	VERB
fcis-3734	164	26	in	in	ADP
fcis-3734	164	27	general	general	ADJ
fcis-3734	164	28	case	case	NOUN
fcis-3734	164	29	.	.	PUNCT
fcis-3734	165	1	however	however	ADV
fcis-3734	165	2	,	,	PUNCT
fcis-3734	165	3	if	if	SCONJ
fcis-3734	165	4	the	the	DET
fcis-3734	165	5	porosity	porosity	NOUN
fcis-3734	165	6	gap	gap	NOUN
fcis-3734	165	7	is	be	AUX
fcis-3734	165	8	below	below	ADP
fcis-3734	165	9	0.03	0.03	NUM
fcis-3734	165	10	%	%	NOUN
fcis-3734	165	11	,	,	PUNCT
fcis-3734	165	12	the	the	DET
fcis-3734	165	13	average	average	ADJ
fcis-3734	165	14	tortuosity	tortuosity	NOUN
fcis-3734	165	15	remains	remain	VERB
fcis-3734	165	16	unchanged	unchanged	ADJ
fcis-3734	165	17	.	.	PUNCT
fcis-3734	166	1	3.2	3.2	NUM
fcis-3734	166	2	.	.	PUNCT
fcis-3734	166	3	model	model	NOUN
fcis-3734	166	4	validation	validation	NOUN
fcis-3734	166	5	the	the	DET
fcis-3734	166	6	average	average	ADJ
fcis-3734	166	7	tortuosity	tortuosity	NOUN
fcis-3734	166	8	calculated	calculate	VERB
fcis-3734	166	9	based	base	VERB
fcis-3734	166	10	on	on	ADP
fcis-3734	166	11	table	table	NOUN
fcis-3734	166	12	2	2	NUM
fcis-3734	166	13	is	be	AUX
fcis-3734	166	14	compared	compare	VERB
fcis-3734	166	15	with	with	ADP
fcis-3734	166	16	the	the	DET
fcis-3734	166	17	average	average	ADJ
fcis-3734	166	18	tortuosity	tortuosity	NOUN
fcis-3734	166	19	calculation	calculation	NOUN
fcis-3734	166	20	model	model	NOUN
fcis-3734	166	21	established	establish	VERB
fcis-3734	166	22	by	by	ADP
fcis-3734	166	23	koponen	koponen	PROPN
fcis-3734	166	24	,	,	PUNCT
fcis-3734	166	25	yuan	yuan	PROPN
fcis-3734	166	26	pei	pei	PROPN
fcis-3734	166	27	,	,	PUNCT
fcis-3734	166	28	du	du	PROPN
fcis-3734	166	29	peng	peng	PROPN
fcis-3734	166	30	and	and	CCONJ
fcis-3734	166	31	others	other	NOUN
fcis-3734	166	32	.	.	PUNCT
fcis-3734	167	1	from	from	ADP
fcis-3734	167	2	the	the	DET
fcis-3734	167	3	eq	eq	NOUN
fcis-3734	167	4	.	.	PUNCT
fcis-3734	168	1	(	(	PUNCT
fcis-3734	168	2	21	21	NUM
fcis-3734	168	3	)	)	PUNCT
fcis-3734	168	4	,	,	PUNCT
fcis-3734	168	5	eq	eq	NOUN
fcis-3734	168	6	.	.	PUNCT
fcis-3734	169	1	(	(	PUNCT
fcis-3734	169	2	23	23	NUM
fcis-3734	169	3	)	)	PUNCT
fcis-3734	169	4	and	and	CCONJ
fcis-3734	169	5	(	(	PUNCT
fcis-3734	169	6	25	25	NUM
fcis-3734	169	7	)	)	PUNCT
fcis-3734	169	8	,	,	PUNCT
fcis-3734	169	9	it	it	PRON
fcis-3734	169	10	can	can	AUX
fcis-3734	169	11	be	be	AUX
fcis-3734	169	12	obtained	obtain	VERB
fcis-3734	169	13	:	:	PUNCT
fcis-3734	169	14	table	table	NOUN
fcis-3734	169	15	3	3	NUM
fcis-3734	169	16	.	.	PUNCT
fcis-3734	169	17	comparison	comparison	NOUN
fcis-3734	169	18	of	of	ADP
fcis-3734	169	19	calculated	calculate	VERB
fcis-3734	169	20	results	result	NOUN
fcis-3734	169	21	between	between	ADP
fcis-3734	169	22	this	this	DET
fcis-3734	169	23	model	model	NOUN
fcis-3734	169	24	and	and	CCONJ
fcis-3734	169	25	other	other	ADJ
fcis-3734	169	26	tortuosity	tortuosity	NOUN
fcis-3734	169	27	prediction	prediction	NOUN
fcis-3734	169	28	models	model	NOUN
fcis-3734	169	29	according	accord	VERB
fcis-3734	169	30	to	to	ADP
fcis-3734	169	31	the	the	DET
fcis-3734	169	32	comparison	comparison	NOUN
fcis-3734	169	33	of	of	ADP
fcis-3734	169	34	the	the	DET
fcis-3734	169	35	results	result	NOUN
fcis-3734	169	36	of	of	ADP
fcis-3734	169	37	the	the	DET
fcis-3734	169	38	tortuosity	tortuosity	NOUN
fcis-3734	169	39	prediction	prediction	NOUN
fcis-3734	169	40	model	model	NOUN
fcis-3734	169	41	in	in	ADP
fcis-3734	169	42	this	this	DET
fcis-3734	169	43	paper	paper	NOUN
fcis-3734	169	44	with	with	ADP
fcis-3734	169	45	the	the	DET
fcis-3734	169	46	other	other	ADJ
fcis-3734	169	47	three	three	NUM
fcis-3734	169	48	prediction	prediction	NOUN
fcis-3734	169	49	models	model	NOUN
fcis-3734	169	50	,	,	PUNCT
fcis-3734	169	51	it	it	PRON
fcis-3734	169	52	is	be	AUX
fcis-3734	169	53	found	find	VERB
fcis-3734	169	54	that	that	SCONJ
fcis-3734	169	55	their	their	PRON
fcis-3734	169	56	average	average	ADJ
fcis-3734	169	57	relative	relative	ADJ
fcis-3734	169	58	errors	error	NOUN
fcis-3734	169	59	are	be	AUX
fcis-3734	169	60	0.2674	0.2674	NUM
fcis-3734	169	61	%	%	NOUN
fcis-3734	169	62	,	,	PUNCT
fcis-3734	169	63	0.0362	0.0362	NUM
fcis-3734	169	64	%	%	NOUN
fcis-3734	169	65	and	and	CCONJ
fcis-3734	169	66	0.1234	0.1234	NUM
fcis-3734	169	67	%	%	NOUN
fcis-3734	169	68	respectively	respectively	ADV
fcis-3734	169	69	.	.	PUNCT
fcis-3734	170	1	therefore	therefore	ADV
fcis-3734	170	2	,	,	PUNCT
fcis-3734	170	3	the	the	DET
fcis-3734	170	4	average	average	ADJ
fcis-3734	170	5	tortuosity	tortuosity	NOUN
fcis-3734	170	6	calculation	calculation	NOUN
fcis-3734	170	7	model	model	NOUN
fcis-3734	170	8	in	in	ADP
fcis-3734	170	9	this	this	DET
fcis-3734	170	10	paper	paper	NOUN
fcis-3734	170	11	is	be	AUX
fcis-3734	170	12	effective	effective	ADJ
fcis-3734	170	13	and	and	CCONJ
fcis-3734	170	14	reliable	reliable	ADJ
fcis-3734	170	15	.	.	PUNCT
fcis-3734	171	1	moreover	moreover	ADV
fcis-3734	171	2	,	,	PUNCT
fcis-3734	171	3	it	it	PRON
fcis-3734	171	4	can	can	AUX
fcis-3734	171	5	be	be	AUX
fcis-3734	171	6	used	use	VERB
fcis-3734	171	7	to	to	PART
fcis-3734	171	8	calculate	calculate	VERB
fcis-3734	171	9	the	the	DET
fcis-3734	171	10	tortuosity	tortuosity	NOUN
fcis-3734	171	11	of	of	ADP
fcis-3734	171	12	high	high	ADJ
fcis-3734	171	13	porosity	porosity	NOUN
fcis-3734	171	14	materials	material	NOUN
fcis-3734	171	15	such	such	ADJ
fcis-3734	171	16	as	as	ADP
fcis-3734	171	17	aerogels	aerogel	NOUN
fcis-3734	171	18	.	.	PUNCT
fcis-3734	172	1	the	the	DET
fcis-3734	172	2	model	model	NOUN
fcis-3734	172	3	in	in	ADP
fcis-3734	172	4	this	this	DET
fcis-3734	172	5	paper	paper	NOUN
fcis-3734	172	6	is	be	AUX
fcis-3734	172	7	only	only	ADV
fcis-3734	172	8	related	relate	VERB
fcis-3734	172	9	to	to	ADP
fcis-3734	172	10	the	the	DET
fcis-3734	172	11	fractal	fractal	ADJ
fcis-3734	172	12	unit	unit	NOUN
fcis-3734	172	13	structure	structure	NOUN
fcis-3734	172	14	of	of	ADP
fcis-3734	172	15	sierpinski	sierpinski	ADJ
fcis-3734	172	16	carpet	carpet	NOUN
fcis-3734	172	17	and	and	CCONJ
fcis-3734	172	18	the	the	DET
fcis-3734	172	19	number	number	NOUN
fcis-3734	172	20	of	of	ADP
fcis-3734	172	21	iterations	iteration	NOUN
fcis-3734	172	22	.	.	PUNCT
fcis-3734	173	1	it	it	PRON
fcis-3734	173	2	not	not	PART
fcis-3734	173	3	only	only	ADV
fcis-3734	173	4	has	have	VERB
fcis-3734	173	5	no	no	DET
fcis-3734	173	6	empirical	empirical	ADJ
fcis-3734	173	7	constant	constant	ADJ
fcis-3734	173	8	,	,	PUNCT
fcis-3734	173	9	but	but	CCONJ
fcis-3734	173	10	also	also	ADV
fcis-3734	173	11	can	can	AUX
fcis-3734	173	12	be	be	AUX
fcis-3734	173	13	used	use	VERB
fcis-3734	173	14	as	as	ADP
fcis-3734	173	15	a	a	DET
fcis-3734	173	16	new	new	ADJ
fcis-3734	173	17	method	method	NOUN
fcis-3734	173	18	to	to	PART
fcis-3734	173	19	calculate	calculate	VERB
fcis-3734	173	20	the	the	DET
fcis-3734	173	21	average	average	ADJ
fcis-3734	173	22	tortuosity	tortuosity	NOUN
fcis-3734	173	23	.	.	PUNCT
fcis-3734	174	1	4	4	X
fcis-3734	174	2	.	.	X
fcis-3734	174	3	conclusions	conclusion	NOUN
fcis-3734	174	4	according	accord	VERB
fcis-3734	174	5	to	to	ADP
fcis-3734	174	6	the	the	DET
fcis-3734	174	7	porosity	porosity	NOUN
fcis-3734	174	8	of	of	ADP
fcis-3734	174	9	the	the	DET
fcis-3734	174	10	porous	porous	ADJ
fcis-3734	174	11	media	medium	NOUN
fcis-3734	174	12	materials	material	NOUN
fcis-3734	174	13	,	,	PUNCT
fcis-3734	174	14	sierpinski	sierpinski	ADJ
fcis-3734	174	15	carpet	carpet	NOUN
fcis-3734	174	16	model	model	NOUN
fcis-3734	174	17	was	be	AUX
fcis-3734	174	18	established	establish	VERB
fcis-3734	174	19	to	to	PART
fcis-3734	174	20	characterize	characterize	VERB
fcis-3734	174	21	its	its	PRON
fcis-3734	174	22	structures	structure	NOUN
fcis-3734	174	23	.	.	PUNCT
fcis-3734	175	1	the	the	DET
fcis-3734	175	2	calculation	calculation	NOUN
fcis-3734	175	3	model	model	NOUN
fcis-3734	175	4	of	of	ADP
fcis-3734	175	5	the	the	DET
fcis-3734	175	6	average	average	ADJ
fcis-3734	175	7	tortuosity	tortuosity	NOUN
fcis-3734	175	8	of	of	ADP
fcis-3734	175	9	the	the	DET
fcis-3734	175	10	porous	porous	ADJ
fcis-3734	175	11	media	medium	NOUN
fcis-3734	175	12	materials	material	NOUN
fcis-3734	175	13	was	be	AUX
fcis-3734	175	14	derived	derive	VERB
fcis-3734	175	15	by	by	ADP
fcis-3734	175	16	using	use	VERB
fcis-3734	175	17	the	the	DET
fcis-3734	175	18	average	average	ADJ
fcis-3734	175	19	value	value	NOUN
fcis-3734	175	20	of	of	ADP
fcis-3734	175	21	the	the	DET
fcis-3734	175	22	route	route	NOUN
fcis-3734	175	23	of	of	ADP
fcis-3734	175	24	the	the	DET
fcis-3734	175	25	heat	heat	NOUN
fcis-3734	175	26	flow	flow	NOUN
fcis-3734	175	27	through	through	ADP
fcis-3734	175	28	sierpinski	sierpinski	ADJ
fcis-3734	175	29	carpet	carpet	NOUN
fcis-3734	175	30	.	.	PUNCT
fcis-3734	176	1	in	in	ADP
fcis-3734	176	2	order	order	NOUN
fcis-3734	176	3	to	to	PART
fcis-3734	176	4	find	find	VERB
fcis-3734	176	5	the	the	DET
fcis-3734	176	6	best	good	ADJ
fcis-3734	176	7	fractal	fractal	ADJ
fcis-3734	176	8	unit	unit	NOUN
fcis-3734	176	9	structure	structure	NOUN
fcis-3734	176	10	and	and	CCONJ
fcis-3734	176	11	the	the	DET
fcis-3734	176	12	number	number	NOUN
fcis-3734	176	13	of	of	ADP
fcis-3734	176	14	iterations	iteration	NOUN
fcis-3734	176	15	in	in	ADP
fcis-3734	176	16	the	the	DET
fcis-3734	176	17	average	average	ADJ
fcis-3734	176	18	tortuosity	tortuosity	NOUN
fcis-3734	176	19	calculation	calculation	NOUN
fcis-3734	176	20	model	model	NOUN
fcis-3734	176	21	,	,	PUNCT
fcis-3734	176	22	an	an	DET
fcis-3734	176	23	optimization	optimization	NOUN
fcis-3734	176	24	discriminant	discriminant	NOUN
fcis-3734	176	25	model	model	NOUN
fcis-3734	176	26	is	be	AUX
fcis-3734	176	27	established	establish	VERB
fcis-3734	176	28	.	.	PUNCT
fcis-3734	177	1	according	accord	VERB
fcis-3734	177	2	to	to	ADP
fcis-3734	177	3	the	the	DET
fcis-3734	177	4	data	datum	NOUN
fcis-3734	177	5	of	of	ADP
fcis-3734	177	6	5	5	NUM
fcis-3734	177	7	samples	sample	NOUN
fcis-3734	177	8	,	,	PUNCT
fcis-3734	177	9	the	the	DET
fcis-3734	177	10	results	result	NOUN
fcis-3734	177	11	of	of	ADP
fcis-3734	177	12	the	the	DET
fcis-3734	177	13	average	average	ADJ
fcis-3734	177	14	tortuosity	tortuosity	NOUN
fcis-3734	177	15	calculation	calculation	NOUN
fcis-3734	177	16	model	model	NOUN
fcis-3734	177	17	of	of	ADP
fcis-3734	177	18	this	this	DET
fcis-3734	177	19	model	model	NOUN
fcis-3734	177	20	and	and	CCONJ
fcis-3734	177	21	the	the	DET
fcis-3734	177	22	other	other	ADJ
fcis-3734	177	23	three	three	NUM
fcis-3734	177	24	scholars	scholar	NOUN
fcis-3734	177	25	are	be	AUX
fcis-3734	177	26	compared	compare	VERB
fcis-3734	177	27	,	,	PUNCT
fcis-3734	177	28	and	and	CCONJ
fcis-3734	177	29	their	their	PRON
fcis-3734	177	30	average	average	ADJ
fcis-3734	177	31	relative	relative	ADJ
fcis-3734	177	32	errors	error	NOUN
fcis-3734	177	33	are	be	AUX
fcis-3734	177	34	calculated	calculate	VERB
fcis-3734	177	35	to	to	PART
fcis-3734	177	36	be	be	AUX
fcis-3734	177	37	0.2674	0.2674	NUM
fcis-3734	177	38	%	%	NOUN
fcis-3734	177	39	,	,	PUNCT
fcis-3734	177	40	0.0362	0.0362	NUM
fcis-3734	177	41	%	%	NOUN
fcis-3734	177	42	and	and	CCONJ
fcis-3734	177	43	0.1234	0.1234	NUM
fcis-3734	177	44	%	%	NOUN
fcis-3734	177	45	respectively	respectively	ADV
fcis-3734	177	46	,	,	PUNCT
fcis-3734	177	47	indicating	indicate	VERB
fcis-3734	177	48	that	that	SCONJ
fcis-3734	177	49	the	the	DET
fcis-3734	177	50	average	average	ADJ
fcis-3734	177	51	tortuosity	tortuosity	NOUN
fcis-3734	177	52	calculation	calculation	NOUN
fcis-3734	177	53	model	model	NOUN
fcis-3734	177	54	established	establish	VERB
fcis-3734	177	55	in	in	ADP
fcis-3734	177	56	this	this	DET
fcis-3734	177	57	study	study	NOUN
fcis-3734	177	58	is	be	AUX
fcis-3734	177	59	effective	effective	ADJ
fcis-3734	177	60	and	and	CCONJ
fcis-3734	177	61	reliable	reliable	ADJ
fcis-3734	177	62	.	.	PUNCT
fcis-3734	178	1	the	the	DET
fcis-3734	178	2	average	average	ADJ
fcis-3734	178	3	tortuosity	tortuosity	NOUN
fcis-3734	178	4	prediction	prediction	NOUN
fcis-3734	178	5	model	model	NOUN
fcis-3734	178	6	established	establish	VERB
fcis-3734	178	7	in	in	ADP
fcis-3734	178	8	this	this	DET
fcis-3734	178	9	paper	paper	NOUN
fcis-3734	178	10	has	have	VERB
fcis-3734	178	11	no	no	DET
fcis-3734	178	12	empirical	empirical	ADJ
fcis-3734	178	13	constant	constant	NOUN
fcis-3734	178	14	,	,	PUNCT
fcis-3734	178	15	which	which	PRON
fcis-3734	178	16	reduces	reduce	VERB
fcis-3734	178	17	the	the	DET
fcis-3734	178	18	subjective	subjective	ADJ
fcis-3734	178	19	error	error	NOUN
fcis-3734	178	20	of	of	ADP
fcis-3734	178	21	model	model	NOUN
fcis-3734	178	22	calculation	calculation	NOUN
fcis-3734	178	23	.	.	PUNCT
fcis-3734	179	1	it	it	PRON
fcis-3734	179	2	can	can	AUX
fcis-3734	179	3	be	be	AUX
fcis-3734	179	4	used	use	VERB
fcis-3734	179	5	to	to	PART
fcis-3734	179	6	calculate	calculate	VERB
fcis-3734	179	7	the	the	DET
fcis-3734	179	8	average	average	ADJ
fcis-3734	179	9	tortuosity	tortuosity	NOUN
fcis-3734	179	10	of	of	ADP
fcis-3734	179	11	other	other	ADJ
fcis-3734	179	12	porous	porous	ADJ
fcis-3734	179	13	media	medium	NOUN
fcis-3734	179	14	materials	material	NOUN
fcis-3734	179	15	,	,	PUNCT
fcis-3734	179	16	providing	provide	VERB
fcis-3734	179	17	a	a	DET
fcis-3734	179	18	new	new	ADJ
fcis-3734	179	19	idea	idea	NOUN
fcis-3734	179	20	for	for	ADP
fcis-3734	179	21	calculating	calculate	VERB
fcis-3734	179	22	the	the	DET
fcis-3734	179	23	average	average	ADJ
fcis-3734	179	24	tortuosity	tortuosity	NOUN
fcis-3734	179	25	.	.	PUNCT
fcis-3734	180	1	references	reference	NOUN
fcis-3734	180	2	[	[	X
fcis-3734	180	3	1	1	NUM
fcis-3734	180	4	]	]	X
fcis-3734	180	5	saomoto	saomoto	NOUN
fcis-3734	180	6	,	,	PUNCT
fcis-3734	180	7	hidetaka	hidetaka	ADJ
fcis-3734	180	8	,	,	PUNCT
fcis-3734	180	9	junji	junji	PROPN
fcis-3734	180	10	katagiri	katagiri	PROPN
fcis-3734	180	11	.	.	PUNCT
fcis-3734	181	1	direct	direct	ADJ
fcis-3734	181	2	comparison	comparison	NOUN
fcis-3734	181	3	of	of	ADP
fcis-3734	181	4	hydraulic	hydraulic	ADJ
fcis-3734	181	5	tortuosity	tortuosity	NOUN
fcis-3734	181	6	and	and	CCONJ
fcis-3734	181	7	electric	electric	ADJ
fcis-3734	181	8	tortuosity	tortuosity	NOUN
fcis-3734	181	9	based	base	VERB
fcis-3734	181	10	on	on	ADP
fcis-3734	181	11	finite	finite	PROPN
fcis-3734	181	12	element	element	PROPN
fcis-3734	181	13	analysis[j	analysis[j	PROPN
fcis-3734	181	14	]	]	PUNCT
fcis-3734	181	15	,	,	PUNCT
fcis-3734	181	16	heoretical	heoretical	ADJ
fcis-3734	181	17	and	and	CCONJ
fcis-3734	181	18	applied	apply	VERB
fcis-3734	181	19	mechanics	mechanic	NOUN
fcis-3734	181	20	letters	letter	NOUN
fcis-3734	181	21	,	,	PUNCT
fcis-3734	181	22	2015	2015	NUM
fcis-3734	181	23	,	,	PUNCT
fcis-3734	181	24	5	5	NUM
fcis-3734	181	25	:	:	SYM
fcis-3734	181	26	177	177	NUM
fcis-3734	181	27	-	-	SYM
fcis-3734	181	28	180	180	NUM
fcis-3734	181	29	.	.	PUNCT
fcis-3734	182	1	[	[	X
fcis-3734	182	2	2	2	X
fcis-3734	182	3	]	]	PUNCT
fcis-3734	182	4	khabbazi	khabbazi	NOUN
fcis-3734	182	5	a	a	DET
fcis-3734	182	6	e	e	NOUN
fcis-3734	182	7	,	,	PUNCT
fcis-3734	182	8	hinebaugh	hinebaugh	VERB
fcis-3734	182	9	j	j	PROPN
fcis-3734	182	10	,	,	PUNCT
fcis-3734	183	1	bazylak	bazylak	ADJ
fcis-3734	183	2	a.	a.	NOUN
fcis-3734	183	3	determining	determine	VERB
fcis-3734	183	4	the	the	DET
fcis-3734	183	5	impact	impact	NOUN
fcis-3734	183	6	of	of	ADP
fcis-3734	183	7	rectangular	rectangular	ADJ
fcis-3734	183	8	grain	grain	NOUN
fcis-3734	183	9	aspect	aspect	NOUN
fcis-3734	183	10	ratio	ratio	NOUN
fcis-3734	183	11	on	on	ADP
fcis-3734	183	12	tortuosity	tortuosity	NOUN
fcis-3734	183	13	-	-	PUNCT
fcis-3734	183	14	porosity	porosity	NOUN
fcis-3734	183	15	correlations	correlation	NOUN
fcis-3734	183	16	of	of	ADP
fcis-3734	183	17	two	two	NUM
fcis-3734	183	18	-	-	PUNCT
fcis-3734	183	19	dimensional	dimensional	ADJ
fcis-3734	183	20	stochastically	stochastically	ADV
fcis-3734	183	21	generated	generate	VERB
fcis-3734	183	22	porous	porous	ADJ
fcis-3734	183	23	media[j	media[j	NOUN
fcis-3734	183	24	]	]	X
fcis-3734	183	25	,	,	PUNCT
fcis-3734	183	26	science	science	NOUN
fcis-3734	183	27	bulletin	bulletin	NOUN
fcis-3734	183	28	,	,	PUNCT
fcis-3734	183	29	2016	2016	NUM
fcis-3734	183	30	,	,	PUNCT
fcis-3734	183	31	61	61	NUM
fcis-3734	183	32	:	:	SYM
fcis-3734	183	33	601	601	NUM
fcis-3734	183	34	-	-	SYM
fcis-3734	183	35	611	611	NUM
fcis-3734	183	36	.	.	PUNCT
fcis-3734	184	1	[	[	X
fcis-3734	184	2	3	3	X
fcis-3734	184	3	]	]	X
fcis-3734	184	4	jianlong	jianlong	PROPN
fcis-3734	184	5	kou	kou	PROPN
fcis-3734	184	6	,	,	PUNCT
fcis-3734	184	7	tang	tang	PROPN
fcis-3734	184	8	xue	xue	PROPN
fcis-3734	184	9	-	-	PUNCT
fcis-3734	184	10	ming	ming	PROPN
fcis-3734	184	11	,	,	PUNCT
fcis-3734	184	12	zhang	zhang	PROPN
fcis-3734	184	13	haiyan	haiyan	PROPN
fcis-3734	184	14	,	,	PUNCT
fcis-3734	184	15	et	et	PROPN
fcis-3734	184	16	al	al	PROPN
fcis-3734	184	17	.	.	PROPN
fcis-3734	184	18	tortuosity	tortuosity	PROPN
fcis-3734	184	19	for	for	ADP
fcis-3734	184	20	streamlines	streamline	NOUN
fcis-3734	184	21	in	in	ADP
fcis-3734	184	22	porous	porous	ADJ
fcis-3734	184	23	media[j	media[j	NOUN
fcis-3734	184	24	]	]	X
fcis-3734	184	25	,	,	PUNCT
fcis-3734	184	26	chinese	chinese	PROPN
fcis-3734	184	27	physics	physics	PROPN
fcis-3734	184	28	b	b	PROPN
fcis-3734	184	29	,	,	PUNCT
fcis-3734	184	30	2012	2012	NUM
fcis-3734	184	31	,	,	PUNCT
fcis-3734	184	32	21(4	21(4	NUM
fcis-3734	184	33	):	):	PUNCT
fcis-3734	184	34	044701	044701	NUM
fcis-3734	184	35	.	.	PUNCT
fcis-3734	185	1	[	[	X
fcis-3734	185	2	4	4	X
fcis-3734	185	3	]	]	X
fcis-3734	185	4	du	du	PROPN
fcis-3734	185	5	peng	peng	PROPN
fcis-3734	185	6	,	,	PUNCT
fcis-3734	185	7	gan	gan	PROPN
fcis-3734	185	8	yang	yang	PROPN
fcis-3734	185	9	,	,	PUNCT
fcis-3734	185	10	li	li	PROPN
fcis-3734	185	11	peisheng	peisheng	PROPN
fcis-3734	185	12	,	,	PUNCT
fcis-3734	185	13	et	et	PROPN
fcis-3734	186	1	al	al	PROPN
fcis-3734	186	2	.	.	PROPN
fcis-3734	186	3	numerical	numerical	PROPN
fcis-3734	186	4	calculation	calculation	NOUN
fcis-3734	186	5	of	of	ADP
fcis-3734	186	6	streamline	streamline	NOUN
fcis-3734	186	7	curvature	curvature	NOUN
fcis-3734	186	8	based	base	VERB
fcis-3734	186	9	on	on	ADP
fcis-3734	186	10	sierpinski	sierpinski	ADJ
fcis-3734	186	11	carpet	carpet	NOUN
fcis-3734	187	1	[	[	X
fcis-3734	187	2	j	j	X
fcis-3734	187	3	]	]	X
fcis-3734	187	4	.	.	PUNCT
fcis-3734	188	1	chemical	chemical	PROPN
fcis-3734	188	2	engineering	engineering	PROPN
fcis-3734	188	3	,	,	PUNCT
fcis-3734	188	4	2019	2019	NUM
fcis-3734	188	5	,	,	PUNCT
fcis-3734	188	6	47	47	NUM
fcis-3734	188	7	(	(	PUNCT
fcis-3734	188	8	02):59	02):59	PROPN
fcis-3734	188	9	-	-	SYM
fcis-3734	188	10	63	63	NUM
fcis-3734	188	11	+	+	NUM
fcis-3734	188	12	74	74	NUM
fcis-3734	188	13	.	.	PUNCT
fcis-3734	189	1	(	(	PUNCT
fcis-3734	189	2	in	in	ADP
fcis-3734	189	3	chinese	chinese	PROPN
fcis-3734	189	4	)	)	PUNCT
fcis-3734	190	1	[	[	X
fcis-3734	190	2	5	5	X
fcis-3734	190	3	]	]	X
fcis-3734	190	4	kang	kang	PROPN
fcis-3734	190	5	q	q	PROPN
fcis-3734	190	6	,	,	PUNCT
fcis-3734	190	7	lichtner	lichtner	ADJ
fcis-3734	190	8	pc	pc	NOUN
fcis-3734	190	9	,	,	PUNCT
fcis-3734	190	10	viswanathan	viswanathan	PROPN
fcis-3734	190	11	hs	hs	PROPN
fcis-3734	190	12	,	,	PUNCT
fcis-3734	190	13	et	et	PROPN
fcis-3734	190	14	al	al	PROPN
fcis-3734	190	15	.	.	PUNCT
fcis-3734	191	1	pore	pore	ADJ
fcis-3734	191	2	-	-	PUNCT
fcis-3734	191	3	scale	scale	NOUN
fcis-3734	191	4	modeling	modeling	NOUN
fcis-3734	191	5	of	of	ADP
fcis-3734	191	6	reactive	reactive	ADJ
fcis-3734	191	7	transport	transport	NOUN
fcis-3734	191	8	involved	involve	VERB
fcis-3734	191	9	in	in	ADP
fcis-3734	191	10	geologic	geologic	ADJ
fcis-3734	191	11	co2	co2	NOUN
fcis-3734	191	12	sequestration[j	sequestration[j	NOUN
fcis-3734	191	13	]	]	PUNCT
fcis-3734	191	14	,	,	PUNCT
fcis-3734	191	15	trans	trans	X
fcis-3734	191	16	porous	porous	ADJ
fcis-3734	191	17	med	me	VERB
fcis-3734	191	18	,	,	PUNCT
fcis-3734	191	19	2010	2010	NUM
fcis-3734	191	20	,	,	PUNCT
fcis-3734	191	21	86	86	NUM
fcis-3734	191	22	:	:	PUNCT
fcis-3734	191	23	197–213	197–213	NUM
fcis-3734	191	24	.	.	PUNCT
fcis-3734	192	1	[	[	X
fcis-3734	192	2	6	6	NUM
fcis-3734	192	3	]	]	PUNCT
fcis-3734	192	4	goldin	goldin	VERB
fcis-3734	192	5	gm	gm	PROPN
fcis-3734	192	6	,	,	PUNCT
fcis-3734	192	7	colclasure	colclasure	NOUN
fcis-3734	192	8	am	am	NOUN
fcis-3734	192	9	,	,	PUNCT
fcis-3734	192	10	wiedemann	wiedemann	ADJ
fcis-3734	192	11	ah	ah	INTJ
fcis-3734	192	12	,	,	PUNCT
fcis-3734	192	13	et	et	PROPN
fcis-3734	192	14	al	al	PROPN
fcis-3734	192	15	.	.	PROPN
fcis-3734	192	16	threedimensional	threedimensional	PROPN
fcis-3734	192	17	particle	particle	NOUN
fcis-3734	192	18	-	-	PUNCT
fcis-3734	192	19	resolved	resolve	VERB
fcis-3734	192	20	models	model	NOUN
fcis-3734	192	21	of	of	ADP
fcis-3734	192	22	li	li	PROPN
fcis-3734	192	23	-	-	PUNCT
fcis-3734	192	24	ion	ion	NOUN
fcis-3734	192	25	batteries	battery	NOUN
fcis-3734	192	26	to	to	PART
fcis-3734	192	27	assist	assist	VERB
fcis-3734	192	28	the	the	DET
fcis-3734	192	29	evaluation	evaluation	NOUN
fcis-3734	192	30	of	of	ADP
fcis-3734	192	31	empirical	empirical	ADJ
fcis-3734	192	32	parameters	parameter	NOUN
fcis-3734	192	33	in	in	ADP
fcis-3734	192	34	onedimensional	onedimensional	ADJ
fcis-3734	192	35	models[j	models[j	PROPN
fcis-3734	192	36	]	]	PUNCT
fcis-3734	192	37	,	,	PUNCT
fcis-3734	192	38	electrochim	electrochim	PROPN
fcis-3734	192	39	acta	acta	PROPN
fcis-3734	192	40	,	,	PUNCT
fcis-3734	192	41	2012	2012	NUM
fcis-3734	192	42	,	,	PUNCT
fcis-3734	192	43	64:118–129	64:118–129	NUM
fcis-3734	192	44	.	.	PUNCT
fcis-3734	193	1	[	[	X
fcis-3734	193	2	7	7	X
fcis-3734	193	3	]	]	PUNCT
fcis-3734	193	4	k.	k.	PROPN
fcis-3734	193	5	schabowicz	schabowicz	PROPN
fcis-3734	193	6	,	,	PUNCT
fcis-3734	193	7	z.	z.	PROPN
fcis-3734	193	8	ranachowski	ranachowski	PROPN
fcis-3734	193	9	,	,	PUNCT
fcis-3734	193	10	d.	d.	PROPN
fcis-3734	193	11	jo´́zwiak	jo´́zwiak	PROPN
fcis-3734	193	12	-	-	PUNCT
fcis-3734	193	13	nied	nied	PROPN
fcis-3734	193	14	źwiedzka	źwiedzka	PROPN
fcis-3734	193	15	,	,	PUNCT
fcis-3734	193	16	et	et	PROPN
fcis-3734	193	17	al	al	PROPN
fcis-3734	193	18	.	.	PUNCT
fcis-3734	193	19	application	application	NOUN
fcis-3734	193	20	of	of	ADP
fcis-3734	193	21	x	x	NOUN
fcis-3734	193	22	-	-	NOUN
fcis-3734	193	23	ray	ray	NOUN
fcis-3734	193	24	microtomography	microtomography	NOUN
fcis-3734	193	25	to	to	ADP
fcis-3734	193	26	quality	quality	NOUN
fcis-3734	193	27	assessment	assessment	NOUN
fcis-3734	193	28	of	of	ADP
fcis-3734	193	29	fibre	fibre	NOUN
fcis-3734	193	30	cement	cement	NOUN
fcis-3734	193	31	boards	board	NOUN
fcis-3734	193	32	,	,	PUNCT
fcis-3734	193	33	construct[j	construct[j	PROPN
fcis-3734	193	34	]	]	PUNCT
fcis-3734	193	35	,	,	PUNCT
fcis-3734	193	36	build	build	ADJ
fcis-3734	193	37	.	.	PUNCT
fcis-3734	194	1	mater	mater	NOUN
fcis-3734	194	2	,	,	PUNCT
fcis-3734	194	3	2016	2016	NUM
fcis-3734	194	4	,	,	PUNCT
fcis-3734	194	5	110	110	NUM
fcis-3734	194	6	:	:	PUNCT
fcis-3734	194	7	182–188	182–188	NUM
fcis-3734	194	8	.	.	PUNCT
fcis-3734	195	1	[	[	X
fcis-3734	195	2	8	8	NUM
fcis-3734	195	3	]	]	X
fcis-3734	195	4	m.t	m.t	PROPN
fcis-3734	195	5	.	.	PROPN
fcis-3734	195	6	van	van	PROPN
fcis-3734	195	7	genuchten	genuchten	NOUN
fcis-3734	195	8	,	,	PUNCT
fcis-3734	195	9	a	a	DET
fcis-3734	195	10	closed	close	VERB
fcis-3734	195	11	-	-	PUNCT
fcis-3734	195	12	form	form	NOUN
fcis-3734	195	13	equation	equation	NOUN
fcis-3734	195	14	for	for	ADP
fcis-3734	195	15	predicting	predict	VERB
fcis-3734	195	16	the	the	DET
fcis-3734	195	17	hydraulic	hydraulic	ADJ
fcis-3734	195	18	conductivity	conductivity	NOUN
fcis-3734	195	19	of	of	ADP
fcis-3734	195	20	unsaturated	unsaturated	ADJ
fcis-3734	195	21	soils[j	soils[j	NOUN
fcis-3734	195	22	]	]	PUNCT
fcis-3734	195	23	,	,	PUNCT
fcis-3734	195	24	soil	soil	PROPN
fcis-3734	195	25	sci	sci	PROPN
fcis-3734	195	26	.	.	PUNCT
fcis-3734	195	27	soc	soc	PROPN
fcis-3734	195	28	.	.	PUNCT
fcis-3734	195	29	am	be	AUX
fcis-3734	195	30	.	.	PUNCT
fcis-3734	196	1	j	j	PROPN
fcis-3734	196	2	,	,	PUNCT
fcis-3734	196	3	1980	1980	NUM
fcis-3734	196	4	,	,	PUNCT
fcis-3734	196	5	44	44	NUM
fcis-3734	196	6	:	:	PUNCT
fcis-3734	196	7	892–898	892–898	NUM
fcis-3734	196	8	.	.	PUNCT
fcis-3734	197	1	[	[	X
fcis-3734	197	2	9	9	NUM
fcis-3734	197	3	]	]	X
fcis-3734	197	4	g.p	g.p	PROPN
fcis-3734	197	5	.	.	PROPN
fcis-3734	197	6	androutsopoulos	androutsopoulos	PROPN
fcis-3734	197	7	,	,	PUNCT
fcis-3734	197	8	c.e	c.e	PROPN
fcis-3734	197	9	.	.	PROPN
fcis-3734	197	10	salmas	salmas	PROPN
fcis-3734	197	11	,	,	PUNCT
fcis-3734	197	12	a	a	DET
fcis-3734	197	13	new	new	ADJ
fcis-3734	197	14	model	model	NOUN
fcis-3734	197	15	for	for	ADP
fcis-3734	197	16	capillary	capillary	ADJ
fcis-3734	197	17	condensation	condensation	NOUN
fcis-3734	197	18	evaporation	evaporation	NOUN
fcis-3734	197	19	hysteresis	hysteresis	NOUN
fcis-3734	197	20	based	base	VERB
fcis-3734	197	21	on	on	ADP
fcis-3734	197	22	a	a	DET
fcis-3734	197	23	random	random	ADJ
fcis-3734	197	24	corrugated	corrugate	VERB
fcis-3734	197	25	pore	pore	ADJ
fcis-3734	197	26	structure	structure	NOUN
fcis-3734	197	27	concept	concept	NOUN
fcis-3734	197	28	:	:	PUNCT
fcis-3734	197	29	prediction	prediction	NOUN
fcis-3734	197	30	of	of	ADP
fcis-3734	197	31	intrinsic	intrinsic	ADJ
fcis-3734	197	32	pore	pore	ADJ
fcis-3734	197	33	size	size	NOUN
fcis-3734	197	34	distributions	distribution	NOUN
fcis-3734	197	35	.	.	PUNCT
fcis-3734	198	1	1	1	X
fcis-3734	198	2	.	.	PUNCT
fcis-3734	198	3	model	model	NOUN
fcis-3734	198	4	formulation[j	formulation[j	PROPN
fcis-3734	198	5	]	]	X
fcis-3734	198	6	,	,	PUNCT
fcis-3734	198	7	industrial	industrial	PROPN
fcis-3734	198	8	&	&	CCONJ
fcis-3734	198	9	engineering	engineer	VERB
fcis-3734	198	10	chemistry	chemistry	NOUN
fcis-3734	198	11	research	research	NOUN
fcis-3734	198	12	,	,	PUNCT
fcis-3734	198	13	2000	2000	NUM
fcis-3734	198	14	,	,	PUNCT
fcis-3734	198	15	39	39	NUM
fcis-3734	198	16	:	:	PUNCT
fcis-3734	198	17	3747–3763	3747–3763	NUM
fcis-3734	198	18	.	.	PUNCT
fcis-3734	199	1	[	[	X
fcis-3734	199	2	10	10	NUM
fcis-3734	199	3	]	]	X
fcis-3734	199	4	g.p	g.p	PROPN
fcis-3734	199	5	.	.	PROPN
fcis-3734	199	6	androutsopoulos	androutsopoulos	PROPN
fcis-3734	199	7	,	,	PUNCT
fcis-3734	199	8	c.e	c.e	PROPN
fcis-3734	199	9	.	.	PROPN
fcis-3734	199	10	salmas	salmas	PROPN
fcis-3734	199	11	,	,	PUNCT
fcis-3734	199	12	tomography	tomography	NOUN
fcis-3734	199	13	of	of	ADP
fcis-3734	199	14	macromeso	macromeso	NOUN
fcis-3734	199	15	-	-	PUNCT
fcis-3734	199	16	pore	pore	ADJ
fcis-3734	199	17	structure	structure	NOUN
fcis-3734	199	18	based	base	VERB
fcis-3734	199	19	on	on	ADP
fcis-3734	199	20	mercury	mercury	NOUN
fcis-3734	199	21	porosimetry	porosimetry	NOUN
fcis-3734	199	22	hysteresis[j	hysteresis[j	PROPN
fcis-3734	199	23	]	]	PUNCT
fcis-3734	199	24	,	,	PUNCT
fcis-3734	199	25	chem	chem	NOUN
fcis-3734	199	26	.	.	PUNCT
fcis-3734	200	1	eng	eng	PROPN
fcis-3734	200	2	.	.	PUNCT
fcis-3734	200	3	commun	commun	PROPN
fcis-3734	200	4	,	,	PUNCT
fcis-3734	200	5	2007	2007	NUM
fcis-3734	200	6	,	,	PUNCT
fcis-3734	200	7	181	181	NUM
fcis-3734	200	8	:	:	PUNCT
fcis-3734	200	9	137–177	137–177	NUM
fcis-3734	200	10	.	.	NOUN
fcis-3734	200	11	11	11	NUM
fcis-3734	201	1	[	[	X
fcis-3734	201	2	11	11	NUM
fcis-3734	201	3	]	]	PUNCT
fcis-3734	201	4	yiqun	yiqun	NOUN
fcis-3734	201	5	guo	guo	PROPN
fcis-3734	201	6	,	,	PUNCT
fcis-3734	201	7	tongsheng	tongsheng	PROPN
fcis-3734	201	8	zhang	zhang	PROPN
fcis-3734	201	9	,	,	PUNCT
fcis-3734	201	10	junpeng	junpeng	PROPN
fcis-3734	201	11	du	du	PROPN
fcis-3734	201	12	,	,	PUNCT
fcis-3734	201	13	et	et	PROPN
fcis-3734	201	14	al	al	PROPN
fcis-3734	201	15	.	.	PUNCT
fcis-3734	201	16	evaluating	evaluate	VERB
fcis-3734	201	17	the	the	DET
fcis-3734	201	18	chloride	chloride	NOUN
fcis-3734	201	19	diffusion	diffusion	NOUN
fcis-3734	201	20	coefficient	coefficient	NOUN
fcis-3734	201	21	of	of	ADP
fcis-3734	201	22	cement	cement	NOUN
fcis-3734	201	23	mortars	mortar	NOUN
fcis-3734	201	24	based	base	VERB
fcis-3734	201	25	on	on	ADP
fcis-3734	201	26	the	the	DET
fcis-3734	201	27	tortuosity	tortuosity	NOUN
fcis-3734	201	28	of	of	ADP
fcis-3734	201	29	pore	pore	ADJ
fcis-3734	201	30	structurally	structurally	ADV
fcis-3734	201	31	-	-	PUNCT
fcis-3734	201	32	designed	design	VERB
fcis-3734	201	33	cement	cement	NOUN
fcis-3734	201	34	pastes[j	pastes[j	NOUN
fcis-3734	201	35	]	]	PUNCT
fcis-3734	201	36	,	,	PUNCT
fcis-3734	201	37	microporous	microporous	ADJ
fcis-3734	201	38	and	and	CCONJ
fcis-3734	201	39	mesoporous	mesoporous	ADJ
fcis-3734	201	40	materials	material	NOUN
fcis-3734	201	41	,	,	PUNCT
fcis-3734	201	42	2021	2021	NUM
fcis-3734	201	43	,	,	PUNCT
fcis-3734	201	44	317	317	NUM
fcis-3734	201	45	:	:	SYM
fcis-3734	201	46	111018	111018	NUM
fcis-3734	201	47	.	.	PUNCT
fcis-3734	202	1	[	[	X
fcis-3734	202	2	12	12	NUM
fcis-3734	202	3	]	]	X
fcis-3734	202	4	meng	meng	PROPN
fcis-3734	202	5	mengmeng	mengmeng	PROPN
fcis-3734	202	6	,	,	PUNCT
fcis-3734	202	7	qin	qin	PROPN
fcis-3734	202	8	rui	rui	PROPN
fcis-3734	202	9	,	,	PUNCT
fcis-3734	202	10	luo	luo	PROPN
fcis-3734	202	11	peng	peng	PROPN
fcis-3734	202	12	,	,	PUNCT
fcis-3734	202	13	et	et	PROPN
fcis-3734	202	14	al	al	PROPN
fcis-3734	202	15	.	.	PROPN
fcis-3734	202	16	structure	structure	NOUN
fcis-3734	202	17	and	and	CCONJ
fcis-3734	202	18	permeability	permeability	NOUN
fcis-3734	202	19	of	of	ADP
fcis-3734	202	20	waste	waste	NOUN
fcis-3734	202	21	based	base	VERB
fcis-3734	202	22	on	on	ADP
fcis-3734	202	23	ct	ct	NUM
fcis-3734	202	24	scan	scan	NOUN
fcis-3734	203	1	[	[	X
fcis-3734	203	2	j	j	X
fcis-3734	203	3	]	]	X
fcis-3734	203	4	.	.	PUNCT
fcis-3734	204	1	journal	journal	PROPN
fcis-3734	204	2	of	of	ADP
fcis-3734	204	3	central	central	PROPN
fcis-3734	204	4	south	south	PROPN
fcis-3734	204	5	university	university	PROPN
fcis-3734	204	6	(	(	PUNCT
fcis-3734	204	7	natural	natural	ADJ
fcis-3734	204	8	science	science	NOUN
fcis-3734	204	9	edition	edition	NOUN
fcis-3734	204	10	)	)	PUNCT
fcis-3734	204	11	,	,	PUNCT
fcis-3734	204	12	2020	2020	NUM
fcis-3734	204	13	,	,	PUNCT
fcis-3734	204	14	51	51	NUM
fcis-3734	204	15	(	(	PUNCT
fcis-3734	204	16	01	01	NUM
fcis-3734	204	17	)	)	PUNCT
fcis-3734	204	18	:	:	PUNCT
fcis-3734	204	19	126	126	NUM
fcis-3734	204	20	-	-	SYM
fcis-3734	204	21	133	133	NUM
fcis-3734	204	22	.	.	PUNCT
fcis-3734	205	1	(	(	PUNCT
fcis-3734	205	2	in	in	ADP
fcis-3734	205	3	chinese	chinese	PROPN
fcis-3734	205	4	)	)	PUNCT
fcis-3734	206	1	[	[	X
fcis-3734	206	2	13	13	NUM
fcis-3734	206	3	]	]	X
fcis-3734	206	4	koponen	koponen	PROPN
fcis-3734	206	5	a	a	PROPN
fcis-3734	206	6	,	,	PUNCT
fcis-3734	206	7	kataja	kataja	PROPN
fcis-3734	206	8	m	m	PROPN
fcis-3734	206	9	,	,	PUNCT
fcis-3734	206	10	timonen	timonen	NOUN
fcis-3734	206	11	j.	j.	PROPN
fcis-3734	206	12	tortuous	tortuous	ADJ
fcis-3734	206	13	flow	flow	NOUN
fcis-3734	206	14	in	in	ADP
fcis-3734	206	15	porous	porous	ADJ
fcis-3734	206	16	media[j	media[j	NOUN
fcis-3734	206	17	]	]	X
fcis-3734	206	18	,	,	PUNCT
fcis-3734	206	19	physical	physical	ADJ
fcis-3734	206	20	review	review	NOUN
fcis-3734	206	21	.	.	PUNCT
fcis-3734	207	1	e	e	X
fcis-3734	207	2	,	,	PUNCT
fcis-3734	207	3	statistical	statistical	ADJ
fcis-3734	207	4	physics	physics	NOUN
fcis-3734	207	5	,	,	PUNCT
fcis-3734	207	6	plasmas	plasma	NOUN
fcis-3734	207	7	,	,	PUNCT
fcis-3734	207	8	fluids	fluid	NOUN
fcis-3734	207	9	,	,	PUNCT
fcis-3734	207	10	and	and	CCONJ
fcis-3734	207	11	related	relate	VERB
fcis-3734	207	12	interdisciplinary	interdisciplinary	ADJ
fcis-3734	207	13	topics	topic	NOUN
fcis-3734	207	14	,	,	PUNCT
fcis-3734	207	15	1996	1996	NUM
fcis-3734	207	16	,	,	PUNCT
fcis-3734	207	17	54(1):406	54(1):406	PROPN
fcis-3734	207	18	-	-	NUM
fcis-3734	207	19	410	410	NUM
fcis-3734	207	20	.	.	PUNCT
fcis-3734	208	1	[	[	X
fcis-3734	208	2	14	14	NUM
fcis-3734	208	3	]	]	X
fcis-3734	208	4	yuan	yuan	NOUN
fcis-3734	208	5	et	et	PROPN
fcis-3734	208	6	al	al	PROPN
fcis-3734	208	7	.	.	PROPN
fcis-3734	208	8	calculation	calculation	NOUN
fcis-3734	208	9	of	of	ADP
fcis-3734	208	10	tortuosity	tortuosity	NOUN
fcis-3734	208	11	of	of	ADP
fcis-3734	208	12	porous	porous	ADJ
fcis-3734	208	13	media	medium	NOUN
fcis-3734	208	14	based	base	VERB
fcis-3734	208	15	on	on	ADP
fcis-3734	208	16	sierpinski	sierpinski	ADJ
fcis-3734	208	17	carpet	carpet	NOUN
fcis-3734	208	18	model	model	NOUN
fcis-3734	209	1	[	[	X
fcis-3734	209	2	j	j	X
fcis-3734	209	3	]	]	X
fcis-3734	209	4	.	.	PUNCT
fcis-3734	210	1	journal	journal	PROPN
fcis-3734	210	2	of	of	ADP
fcis-3734	210	3	light	light	ADJ
fcis-3734	210	4	industry	industry	NOUN
fcis-3734	210	5	,	,	PUNCT
fcis-3734	210	6	2016	2016	NUM
fcis-3734	210	7	,	,	PUNCT
fcis-3734	210	8	31	31	NUM
fcis-3734	210	9	(	(	PUNCT
fcis-3734	210	10	05	05	NUM
fcis-3734	210	11	)	)	PUNCT
fcis-3734	210	12	:	:	PUNCT
fcis-3734	211	1	69	69	NUM
fcis-3734	211	2	-	-	SYM
fcis-3734	211	3	74	74	NUM
fcis-3734	211	4	.	.	PUNCT
fcis-3734	212	1	(	(	PUNCT
fcis-3734	212	2	in	in	ADP
fcis-3734	212	3	chinese	chinese	PROPN
fcis-3734	212	4	)	)	PUNCT
fcis-3734	213	1	[	[	X
fcis-3734	213	2	15	15	NUM
fcis-3734	213	3	]	]	X
fcis-3734	213	4	luo	luo	PROPN
fcis-3734	213	5	l	l	PROPN
fcis-3734	213	6	,	,	PUNCT
fcis-3734	213	7	yu	yu	PROPN
fcis-3734	213	8	b	b	PROPN
fcis-3734	213	9	,	,	PUNCT
fcis-3734	213	10	cai	cai	PROPN
fcis-3734	213	11	j	j	PROPN
fcis-3734	213	12	,	,	PUNCT
fcis-3734	213	13	et	et	PROPN
fcis-3734	213	14	al	al	PROPN
fcis-3734	213	15	.	.	PROPN
fcis-3734	213	16	numerical	numerical	PROPN
fcis-3734	213	17	simulation	simulation	PROPN
fcis-3734	213	18	of	of	ADP
fcis-3734	213	19	tortuosity	tortuosity	NOUN
fcis-3734	213	20	for	for	ADP
fcis-3734	213	21	fluid	fluid	ADJ
fcis-3734	213	22	flow	flow	NOUN
fcis-3734	213	23	in	in	ADP
fcis-3734	213	24	twodimensional	twodimensional	ADJ
fcis-3734	213	25	pore	pore	ADJ
fcis-3734	213	26	fractal	fractal	ADJ
fcis-3734	213	27	models	model	NOUN
fcis-3734	213	28	of	of	ADP
fcis-3734	213	29	porous	porous	ADJ
fcis-3734	213	30	media[j	media[j	NOUN
fcis-3734	213	31	]	]	X
fcis-3734	213	32	,	,	PUNCT
fcis-3734	213	33	fractals	fractal	NOUN
fcis-3734	213	34	,	,	PUNCT
fcis-3734	213	35	2014	2014	NUM
fcis-3734	213	36	,	,	PUNCT
fcis-3734	213	37	22(04	22(04	NUM
fcis-3734	213	38	):	):	PUNCT
fcis-3734	213	39	1450015	1450015	NUM
fcis-3734	213	40	.	.	PUNCT
fcis-3734	214	1	[	[	X
fcis-3734	214	2	16	16	NUM
fcis-3734	214	3	]	]	X
fcis-3734	214	4	p.y	p.y	PROPN
fcis-3734	214	5	.	.	PROPN
fcis-3734	214	6	lanfrey	lanfrey	PROPN
fcis-3734	214	7	,	,	PUNCT
fcis-3734	214	8	z.v	z.v	PROPN
fcis-3734	214	9	.	.	PUNCT
fcis-3734	215	1	kuzeljevic	kuzeljevic	PROPN
fcis-3734	215	2	,	,	PUNCT
fcis-3734	215	3	m.p	m.p	PROPN
fcis-3734	215	4	.	.	PROPN
fcis-3734	215	5	dudukovic	dudukovic	PROPN
fcis-3734	215	6	.	.	PUNCT
fcis-3734	216	1	tortuosity	tortuosity	NOUN
fcis-3734	216	2	model	model	NOUN
fcis-3734	216	3	for	for	ADP
fcis-3734	216	4	fixed	fix	VERB
fcis-3734	216	5	beds	bed	NOUN
fcis-3734	216	6	randomly	randomly	ADV
fcis-3734	216	7	packed	pack	VERB
fcis-3734	216	8	with	with	ADP
fcis-3734	216	9	identical	identical	ADJ
fcis-3734	216	10	particles[j	particles[j	NOUN
fcis-3734	216	11	]	]	PUNCT
fcis-3734	216	12	,	,	PUNCT
fcis-3734	216	13	chemical	chemical	ADJ
fcis-3734	216	14	engineering	engineering	NOUN
fcis-3734	216	15	science	science	NOUN
fcis-3734	216	16	,	,	PUNCT
fcis-3734	216	17	2010	2010	NUM
fcis-3734	216	18	,	,	PUNCT
fcis-3734	216	19	65(5	65(5	NUM
fcis-3734	216	20	):	):	PUNCT
fcis-3734	216	21	18911896	18911896	NUM
fcis-3734	216	22	.	.	PUNCT
fcis-3734	217	1	[	[	X
fcis-3734	217	2	17	17	NUM
fcis-3734	217	3	]	]	X
fcis-3734	217	4	li	li	PROPN
fcis-3734	217	5	j	j	PROPN
fcis-3734	217	6	h	h	PROPN
fcis-3734	217	7	,	,	PUNCT
fcis-3734	217	8	yu	yu	PROPN
fcis-3734	217	9	b	b	PROPN
fcis-3734	217	10	m	m	PROPN
fcis-3734	217	11	.	.	PUNCT
fcis-3734	218	1	tortuosity	tortuosity	NOUN
fcis-3734	218	2	of	of	ADP
fcis-3734	218	3	flow	flow	NOUN
fcis-3734	218	4	paths	path	NOUN
fcis-3734	218	5	through	through	ADP
fcis-3734	218	6	a	a	DET
fcis-3734	218	7	sierpinski	sierpinski	ADJ
fcis-3734	218	8	carpet[j	carpet[j	NOUN
fcis-3734	218	9	]	]	PUNCT
fcis-3734	218	10	,	,	PUNCT
fcis-3734	218	11	chinese	chinese	ADJ
fcis-3734	218	12	physics	physics	NOUN
fcis-3734	218	13	letters	letter	NOUN
fcis-3734	218	14	,	,	PUNCT
fcis-3734	218	15	2011	2011	NUM
fcis-3734	218	16	,	,	PUNCT
fcis-3734	218	17	28(3	28(3	NUM
fcis-3734	218	18	):	):	PUNCT
fcis-3734	218	19	034701	034701	NUM
fcis-3734	218	20	.	.	PUNCT
fcis-3734	219	1	[	[	X
fcis-3734	219	2	18	18	NUM
fcis-3734	219	3	]	]	X
fcis-3734	219	4	chen	chen	PROPN
fcis-3734	219	5	xiao1	xiao1	PROPN
fcis-3734	219	6	,	,	PUNCT
fcis-3734	219	7	hu	hu	PROPN
fcis-3734	219	8	yinghe	yinghe	PROPN
fcis-3734	219	9	,	,	PUNCT
fcis-3734	219	10	zhuang	zhuang	PROPN
fcis-3734	219	11	xupin	xupin	PROPN
fcis-3734	219	12	,	,	PUNCT
fcis-3734	219	13	et	et	PROPN
fcis-3734	219	14	al	al	PROPN
fcis-3734	219	15	.	.	PROPN
fcis-3734	219	16	study	study	NOUN
fcis-3734	219	17	on	on	ADP
fcis-3734	219	18	pore	pore	ADJ
fcis-3734	219	19	size	size	NOUN
fcis-3734	219	20	distribution	distribution	NOUN
fcis-3734	219	21	and	and	CCONJ
fcis-3734	219	22	thermal	thermal	ADJ
fcis-3734	219	23	conductivity	conductivity	NOUN
fcis-3734	219	24	of	of	ADP
fcis-3734	219	25	aramid	aramid	NOUN
fcis-3734	219	26	nanofiber	nanofiber	NOUN
fcis-3734	219	27	aerogels	aerogel	NOUN
fcis-3734	219	28	based	base	VERB
fcis-3734	219	29	on	on	ADP
fcis-3734	219	30	fractal	fractal	ADJ
fcis-3734	219	31	theory	theory	NOUN
fcis-3734	219	32	[	[	X
fcis-3734	219	33	j	j	X
fcis-3734	219	34	]	]	X
fcis-3734	219	35	,	,	PUNCT
fcis-3734	219	36	journal	journal	NOUN
fcis-3734	219	37	of	of	ADP
fcis-3734	219	38	applied	applied	ADJ
fcis-3734	219	39	physics	physic	NOUN
fcis-3734	219	40	.	.	PUNCT
fcis-3734	220	1	2021	2021	NUM
fcis-3734	220	2	,	,	PUNCT
fcis-3734	220	3	130(22	130(22	NUM
fcis-3734	220	4	):	):	PUNCT
fcis-3734	220	5	1	1	NUM
fcis-3734	220	6	-	-	SYM
fcis-3734	220	7	10	10	NUM
fcis-3734	220	8	.	.	PUNCT