id	sid	tid	token	lemma	pos
ap-1177	1	1	ap-v2.dvi	ap-v2.dvi	PROPN
ap-1177	1	2	acta	acta	PROPN
ap-1177	1	3	polytechnica	polytechnica	PROPN
ap-1177	1	4	vol	vol	NOUN
ap-1177	1	5	.	.	PROPN
ap-1177	2	1	50	50	NUM
ap-1177	2	2	no	no	NOUN
ap-1177	2	3	.	.	PUNCT
ap-1177	3	1	2/2010	2/2010	NUM
ap-1177	3	2	stochastic	stochastic	ADJ
ap-1177	3	3	models	model	NOUN
ap-1177	3	4	of	of	ADP
ap-1177	3	5	solid	solid	ADJ
ap-1177	3	6	particles	particle	NOUN
ap-1177	3	7	grinding	grind	VERB
ap-1177	3	8	g.	g.	PROPN
ap-1177	3	9	a.	a.	PROPN
ap-1177	3	10	zueva	zueva	PROPN
ap-1177	3	11	,	,	PUNCT
ap-1177	3	12	v.	v.	ADP
ap-1177	3	13	a.	a.	PROPN
ap-1177	3	14	padokhin	padokhin	PROPN
ap-1177	3	15	,	,	PUNCT
ap-1177	3	16	p.	p.	NOUN
ap-1177	3	17	ditl	ditl	PROPN
ap-1177	3	18	abstract	abstract	ADJ
ap-1177	3	19	solid	solid	ADJ
ap-1177	3	20	particle	particle	NOUN
ap-1177	3	21	grinding	grinding	NOUN
ap-1177	3	22	is	be	AUX
ap-1177	3	23	considered	consider	VERB
ap-1177	3	24	as	as	ADP
ap-1177	3	25	a	a	DET
ap-1177	3	26	markov	markov	NOUN
ap-1177	3	27	process	process	NOUN
ap-1177	3	28	.	.	PUNCT
ap-1177	4	1	mathematical	mathematical	ADJ
ap-1177	4	2	models	model	NOUN
ap-1177	4	3	of	of	ADP
ap-1177	4	4	disintegration	disintegration	NOUN
ap-1177	4	5	kinetics	kinetic	NOUN
ap-1177	4	6	are	be	AUX
ap-1177	4	7	classified	classify	VERB
ap-1177	4	8	on	on	ADP
ap-1177	4	9	the	the	DET
ap-1177	4	10	basis	basis	NOUN
ap-1177	4	11	of	of	ADP
ap-1177	4	12	the	the	DET
ap-1177	4	13	class	class	NOUN
ap-1177	4	14	of	of	ADP
ap-1177	4	15	markov	markov	NOUN
ap-1177	4	16	process	process	NOUN
ap-1177	4	17	that	that	PRON
ap-1177	4	18	they	they	PRON
ap-1177	4	19	belong	belong	VERB
ap-1177	4	20	to	to	ADP
ap-1177	4	21	.	.	PUNCT
ap-1177	5	1	a	a	DET
ap-1177	5	2	mathematical	mathematical	ADJ
ap-1177	5	3	description	description	NOUN
ap-1177	5	4	of	of	ADP
ap-1177	5	5	the	the	DET
ap-1177	5	6	disintegration	disintegration	NOUN
ap-1177	5	7	kinetics	kinetic	NOUN
ap-1177	5	8	of	of	ADP
ap-1177	5	9	polydisperse	polydisperse	NOUN
ap-1177	5	10	particles	particle	NOUN
ap-1177	5	11	by	by	ADP
ap-1177	5	12	milling	mill	VERB
ap-1177	5	13	in	in	ADP
ap-1177	5	14	a	a	DET
ap-1177	5	15	shock	shock	NOUN
ap-1177	5	16	-	-	PUNCT
ap-1177	5	17	loading	loading	NOUN
ap-1177	5	18	grinder	grinder	NOUN
ap-1177	5	19	is	be	AUX
ap-1177	5	20	proposed	propose	VERB
ap-1177	5	21	on	on	ADP
ap-1177	5	22	the	the	DET
ap-1177	5	23	basis	basis	NOUN
ap-1177	5	24	of	of	ADP
ap-1177	5	25	the	the	DET
ap-1177	5	26	theory	theory	NOUN
ap-1177	5	27	of	of	ADP
ap-1177	5	28	markov	markov	NOUN
ap-1177	5	29	processes	process	NOUN
ap-1177	5	30	taking	take	VERB
ap-1177	5	31	into	into	ADP
ap-1177	5	32	account	account	NOUN
ap-1177	5	33	the	the	DET
ap-1177	5	34	operational	operational	ADJ
ap-1177	5	35	conditions	condition	NOUN
ap-1177	5	36	in	in	ADP
ap-1177	5	37	the	the	DET
ap-1177	5	38	device	device	NOUN
ap-1177	5	39	.	.	PUNCT
ap-1177	6	1	the	the	DET
ap-1177	6	2	proposed	propose	VERB
ap-1177	6	3	stochastic	stochastic	ADJ
ap-1177	6	4	model	model	NOUN
ap-1177	6	5	calculates	calculate	VERB
ap-1177	6	6	the	the	DET
ap-1177	6	7	particle	particle	NOUN
ap-1177	6	8	size	size	NOUN
ap-1177	6	9	distribution	distribution	NOUN
ap-1177	6	10	of	of	ADP
ap-1177	6	11	the	the	DET
ap-1177	6	12	material	material	NOUN
ap-1177	6	13	at	at	ADP
ap-1177	6	14	any	any	DET
ap-1177	6	15	instant	instant	NOUN
ap-1177	6	16	in	in	ADP
ap-1177	6	17	any	any	DET
ap-1177	6	18	place	place	NOUN
ap-1177	6	19	in	in	ADP
ap-1177	6	20	the	the	DET
ap-1177	6	21	grinder	grinder	NOUN
ap-1177	6	22	.	.	PUNCT
ap-1177	7	1	the	the	DET
ap-1177	7	2	experimental	experimental	ADJ
ap-1177	7	3	data	data	NOUN
ap-1177	7	4	is	be	AUX
ap-1177	7	5	in	in	ADP
ap-1177	7	6	accordance	accordance	NOUN
ap-1177	7	7	with	with	ADP
ap-1177	7	8	the	the	DET
ap-1177	7	9	predicted	predict	VERB
ap-1177	7	10	values	value	NOUN
ap-1177	7	11	according	accord	VERB
ap-1177	7	12	to	to	ADP
ap-1177	7	13	the	the	DET
ap-1177	7	14	proposed	propose	VERB
ap-1177	7	15	model	model	NOUN
ap-1177	7	16	.	.	PUNCT
ap-1177	8	1	keywords	keyword	NOUN
ap-1177	8	2	:	:	PUNCT
ap-1177	8	3	markov	markov	NOUN
ap-1177	8	4	processes	process	NOUN
ap-1177	8	5	,	,	PUNCT
ap-1177	8	6	grinding	grind	VERB
ap-1177	8	7	kinetics	kinetic	NOUN
ap-1177	8	8	models	model	NOUN
ap-1177	8	9	,	,	PUNCT
ap-1177	8	10	density	density	NOUN
ap-1177	8	11	of	of	ADP
ap-1177	8	12	distribution	distribution	NOUN
ap-1177	8	13	.	.	PUNCT
ap-1177	9	1	1	1	NUM
ap-1177	9	2	introduction	introduction	NOUN
ap-1177	9	3	alongside	alongside	ADP
ap-1177	9	4	the	the	DET
ap-1177	9	5	traditional	traditional	ADJ
ap-1177	9	6	approach	approach	NOUN
ap-1177	9	7	,	,	PUNCT
ap-1177	9	8	based	base	VERB
ap-1177	9	9	on	on	ADP
ap-1177	9	10	phenomenological	phenomenological	ADJ
ap-1177	9	11	introduction	introduction	NOUN
ap-1177	9	12	of	of	ADP
ap-1177	9	13	the	the	DET
ap-1177	9	14	mechanics	mechanic	NOUN
ap-1177	9	15	of	of	ADP
ap-1177	9	16	a	a	DET
ap-1177	9	17	continuous	continuous	ADJ
ap-1177	9	18	medium	medium	NOUN
ap-1177	9	19	into	into	ADP
ap-1177	9	20	a	a	DET
ap-1177	9	21	description	description	NOUN
ap-1177	9	22	of	of	ADP
ap-1177	9	23	chemical	chemical	ADJ
ap-1177	9	24	engineering	engineering	NOUN
ap-1177	9	25	processes	process	NOUN
ap-1177	9	26	,	,	PUNCT
ap-1177	9	27	in	in	ADP
ap-1177	9	28	particular	particular	ADJ
ap-1177	9	29	,	,	PUNCT
ap-1177	9	30	milling	milling	NOUN
ap-1177	9	31	processes	process	NOUN
ap-1177	9	32	,	,	PUNCT
ap-1177	9	33	stochastic	stochastic	ADJ
ap-1177	9	34	approaches	approach	NOUN
ap-1177	9	35	,	,	PUNCT
ap-1177	9	36	particularly	particularly	ADV
ap-1177	9	37	those	those	PRON
ap-1177	9	38	based	base	VERB
ap-1177	9	39	on	on	ADP
ap-1177	9	40	markov	markov	NOUN
ap-1177	9	41	processes	process	NOUN
ap-1177	9	42	,	,	PUNCT
ap-1177	9	43	have	have	AUX
ap-1177	9	44	become	become	VERB
ap-1177	9	45	widely	widely	ADV
ap-1177	9	46	applied	apply	VERB
ap-1177	9	47	.	.	PUNCT
ap-1177	10	1	to	to	ADP
ap-1177	10	2	a	a	DET
ap-1177	10	3	certain	certain	ADJ
ap-1177	10	4	extent	extent	NOUN
ap-1177	10	5	,	,	PUNCT
ap-1177	10	6	these	these	DET
ap-1177	10	7	two	two	NUM
ap-1177	10	8	approaches	approach	NOUN
ap-1177	10	9	are	be	AUX
ap-1177	10	10	mutually	mutually	ADV
ap-1177	10	11	complementary	complementary	ADJ
ap-1177	10	12	.	.	PUNCT
ap-1177	11	1	however	however	ADV
ap-1177	11	2	,	,	PUNCT
ap-1177	11	3	in	in	ADP
ap-1177	11	4	many	many	ADJ
ap-1177	11	5	cases	case	NOUN
ap-1177	11	6	the	the	DET
ap-1177	11	7	detailed	detailed	ADJ
ap-1177	11	8	formal	formal	ADJ
ap-1177	11	9	means	mean	NOUN
ap-1177	11	10	of	of	ADP
ap-1177	11	11	stochastic	stochastic	ADJ
ap-1177	11	12	theory	theory	NOUN
ap-1177	11	13	enable	enable	VERB
ap-1177	11	14	models	model	NOUN
ap-1177	11	15	of	of	ADP
ap-1177	11	16	milling	mill	VERB
ap-1177	11	17	to	to	PART
ap-1177	11	18	be	be	AUX
ap-1177	11	19	constructed	construct	VERB
ap-1177	11	20	more	more	ADV
ap-1177	11	21	rationally	rationally	ADV
ap-1177	11	22	[	[	X
ap-1177	11	23	1	1	NUM
ap-1177	11	24	,	,	PUNCT
ap-1177	11	25	2	2	NUM
ap-1177	11	26	,	,	PUNCT
ap-1177	11	27	6	6	NUM
ap-1177	11	28	,	,	PUNCT
ap-1177	11	29	7	7	NUM
ap-1177	11	30	,	,	PUNCT
ap-1177	11	31	12	12	NUM
ap-1177	11	32	,	,	PUNCT
ap-1177	11	33	13	13	NUM
ap-1177	11	34	]	]	PUNCT
ap-1177	11	35	.	.	PUNCT
ap-1177	12	1	stochasticity	stochasticity	NOUN
ap-1177	12	2	,	,	PUNCT
ap-1177	12	3	which	which	PRON
ap-1177	12	4	is	be	AUX
ap-1177	12	5	an	an	DET
ap-1177	12	6	integral	integral	ADJ
ap-1177	12	7	part	part	NOUN
ap-1177	12	8	of	of	ADP
ap-1177	12	9	the	the	DET
ap-1177	12	10	fracture	fracture	NOUN
ap-1177	12	11	process	process	NOUN
ap-1177	12	12	of	of	ADP
ap-1177	12	13	polydisperse	polydisperse	NOUN
ap-1177	12	14	material	material	NOUN
ap-1177	12	15	,	,	PUNCT
ap-1177	12	16	is	be	AUX
ap-1177	12	17	automatically	automatically	ADV
ap-1177	12	18	taken	take	VERB
ap-1177	12	19	into	into	ADP
ap-1177	12	20	account	account	NOUN
ap-1177	12	21	.	.	PUNCT
ap-1177	13	1	compliance	compliance	NOUN
ap-1177	13	2	with	with	ADP
ap-1177	13	3	the	the	DET
ap-1177	13	4	markov	markov	NOUN
ap-1177	13	5	process	process	NOUN
ap-1177	13	6	forms	form	VERB
ap-1177	13	7	the	the	DET
ap-1177	13	8	basis	basis	NOUN
ap-1177	13	9	for	for	ADP
ap-1177	13	10	modeling	model	VERB
ap-1177	13	11	the	the	DET
ap-1177	13	12	particle	particle	NOUN
ap-1177	13	13	size	size	NOUN
ap-1177	13	14	distribution	distribution	NOUN
ap-1177	13	15	during	during	ADP
ap-1177	13	16	milling	milling	NOUN
ap-1177	13	17	.	.	PUNCT
ap-1177	14	1	this	this	PRON
ap-1177	14	2	means	mean	VERB
ap-1177	14	3	that	that	SCONJ
ap-1177	14	4	the	the	DET
ap-1177	14	5	future	future	ADJ
ap-1177	14	6	behavior	behavior	NOUN
ap-1177	14	7	of	of	ADP
ap-1177	14	8	the	the	DET
ap-1177	14	9	system	system	NOUN
ap-1177	14	10	is	be	AUX
ap-1177	14	11	not	not	PART
ap-1177	14	12	affected	affect	VERB
ap-1177	14	13	by	by	ADP
ap-1177	14	14	the	the	DET
ap-1177	14	15	behavior	behavior	NOUN
ap-1177	14	16	of	of	ADP
ap-1177	14	17	the	the	DET
ap-1177	14	18	system	system	NOUN
ap-1177	14	19	in	in	ADP
ap-1177	14	20	the	the	DET
ap-1177	14	21	past	past	NOUN
ap-1177	14	22	[	[	X
ap-1177	14	23	2	2	NUM
ap-1177	14	24	]	]	PUNCT
ap-1177	14	25	.	.	PUNCT
ap-1177	15	1	it	it	PRON
ap-1177	15	2	is	be	AUX
ap-1177	15	3	worth	worth	ADJ
ap-1177	15	4	noting	note	VERB
ap-1177	15	5	that	that	SCONJ
ap-1177	15	6	the	the	DET
ap-1177	15	7	methods	method	NOUN
ap-1177	15	8	of	of	ADP
ap-1177	15	9	markov	markov	NOUN
ap-1177	15	10	processes	process	NOUN
ap-1177	15	11	have	have	AUX
ap-1177	15	12	been	be	AUX
ap-1177	15	13	used	use	VERB
ap-1177	15	14	rather	rather	ADV
ap-1177	15	15	productively	productively	ADV
ap-1177	15	16	in	in	ADP
ap-1177	15	17	theoretical	theoretical	ADJ
ap-1177	15	18	analyses	analysis	NOUN
ap-1177	15	19	of	of	ADP
ap-1177	15	20	many	many	ADJ
ap-1177	15	21	processes	process	NOUN
ap-1177	15	22	in	in	ADP
ap-1177	15	23	chemical	chemical	NOUN
ap-1177	15	24	technology	technology	NOUN
ap-1177	15	25	,	,	PUNCT
ap-1177	15	26	e.g.	e.g.	ADV
ap-1177	15	27	in	in	ADP
ap-1177	15	28	mechanoactivation	mechanoactivation	NOUN
ap-1177	16	1	[	[	X
ap-1177	16	2	8	8	NUM
ap-1177	16	3	]	]	PUNCT
ap-1177	16	4	,	,	PUNCT
ap-1177	16	5	separation	separation	NOUN
ap-1177	16	6	,	,	PUNCT
ap-1177	16	7	classification	classification	NOUN
ap-1177	16	8	of	of	ADP
ap-1177	16	9	heterogeneous	heterogeneous	ADJ
ap-1177	16	10	systems	system	NOUN
ap-1177	16	11	[	[	X
ap-1177	16	12	9	9	NUM
ap-1177	16	13	]	]	PUNCT
ap-1177	16	14	.	.	PUNCT
ap-1177	17	1	one	one	NUM
ap-1177	17	2	of	of	ADP
ap-1177	17	3	the	the	DET
ap-1177	17	4	main	main	ADJ
ap-1177	17	5	constructors	constructor	NOUN
ap-1177	17	6	of	of	ADP
ap-1177	17	7	the	the	DET
ap-1177	17	8	statistical	statistical	ADJ
ap-1177	17	9	theory	theory	NOUN
ap-1177	17	10	of	of	ADP
ap-1177	17	11	basic	basic	ADJ
ap-1177	17	12	processes	process	NOUN
ap-1177	17	13	in	in	ADP
ap-1177	17	14	chemical	chemical	ADJ
ap-1177	17	15	technology	technology	NOUN
ap-1177	17	16	was	be	AUX
ap-1177	17	17	a.	a.	NOUN
ap-1177	17	18	m.	m.	PROPN
ap-1177	17	19	kutepov	kutepov	PROPN
ap-1177	18	1	[	[	X
ap-1177	18	2	10	10	NUM
ap-1177	18	3	,	,	PUNCT
ap-1177	18	4	11	11	NUM
ap-1177	18	5	]	]	PUNCT
ap-1177	18	6	.	.	PUNCT
ap-1177	19	1	he	he	PRON
ap-1177	19	2	formulated	formulate	VERB
ap-1177	19	3	the	the	DET
ap-1177	19	4	following	follow	VERB
ap-1177	19	5	positive	positive	ADJ
ap-1177	19	6	tendencies	tendency	NOUN
ap-1177	19	7	which	which	PRON
ap-1177	19	8	stimulate	stimulate	VERB
ap-1177	19	9	the	the	DET
ap-1177	19	10	further	further	ADJ
ap-1177	19	11	development	development	NOUN
ap-1177	19	12	of	of	ADP
ap-1177	19	13	the	the	DET
ap-1177	19	14	statistical	statistical	ADJ
ap-1177	19	15	theory	theory	NOUN
ap-1177	19	16	of	of	ADP
ap-1177	19	17	processes	process	NOUN
ap-1177	19	18	of	of	ADP
ap-1177	19	19	chemical	chemical	NOUN
ap-1177	19	20	technology	technology	NOUN
ap-1177	19	21	as	as	SCONJ
ap-1177	19	22	follows	follow	VERB
ap-1177	19	23	:	:	PUNCT
ap-1177	19	24	•	•	NUM
ap-1177	19	25	interest	interest	NOUN
ap-1177	19	26	in	in	ADP
ap-1177	19	27	making	make	VERB
ap-1177	19	28	active	active	ADJ
ap-1177	19	29	use	use	NOUN
ap-1177	19	30	of	of	ADP
ap-1177	19	31	the	the	DET
ap-1177	19	32	methods	method	NOUN
ap-1177	19	33	of	of	ADP
ap-1177	19	34	non	non	ADJ
ap-1177	19	35	-	-	ADJ
ap-1177	19	36	equilibrium	equilibrium	ADJ
ap-1177	19	37	statistical	statistical	ADJ
ap-1177	19	38	thermodynamics	thermodynamic	NOUN
ap-1177	19	39	,	,	PUNCT
ap-1177	19	40	the	the	DET
ap-1177	19	41	theory	theory	NOUN
ap-1177	19	42	of	of	ADP
ap-1177	19	43	casual	casual	ADJ
ap-1177	19	44	processes	process	NOUN
ap-1177	19	45	and	and	CCONJ
ap-1177	19	46	synergetic	synergetic	ADJ
ap-1177	19	47	steadily	steadily	ADV
ap-1177	19	48	amplifies	amplify	VERB
ap-1177	19	49	.	.	PUNCT
ap-1177	20	1	•	•	NUM
ap-1177	20	2	constant	constant	ADJ
ap-1177	20	3	enrichment	enrichment	NOUN
ap-1177	20	4	of	of	ADP
ap-1177	20	5	statistical	statistical	ADJ
ap-1177	20	6	theory	theory	NOUN
ap-1177	20	7	by	by	ADP
ap-1177	20	8	new	new	ADJ
ap-1177	20	9	,	,	PUNCT
ap-1177	20	10	highly	highly	ADV
ap-1177	20	11	-	-	PUNCT
ap-1177	20	12	effective	effective	ADJ
ap-1177	20	13	mathematical	mathematical	ADJ
ap-1177	20	14	means	mean	NOUN
ap-1177	20	15	.	.	PUNCT
ap-1177	21	1	•	•	NUM
ap-1177	21	2	rapid	rapid	ADJ
ap-1177	21	3	development	development	NOUN
ap-1177	21	4	of	of	ADP
ap-1177	21	5	computer	computer	NOUN
ap-1177	21	6	technologies	technology	NOUN
ap-1177	21	7	has	have	AUX
ap-1177	21	8	enabled	enable	VERB
ap-1177	21	9	the	the	DET
ap-1177	21	10	creation	creation	NOUN
ap-1177	21	11	of	of	ADP
ap-1177	21	12	the	the	DET
ap-1177	21	13	automated	automate	VERB
ap-1177	21	14	systems	system	NOUN
ap-1177	21	15	for	for	ADP
ap-1177	21	16	calculating	calculate	VERB
ap-1177	21	17	and	and	CCONJ
ap-1177	21	18	designing	design	VERB
ap-1177	21	19	equipment	equipment	NOUN
ap-1177	21	20	for	for	ADP
ap-1177	21	21	chemical	chemical	NOUN
ap-1177	21	22	manufacturing	manufacturing	NOUN
ap-1177	21	23	.	.	PUNCT
ap-1177	22	1	•	•	ADP
ap-1177	22	2	to	to	PART
ap-1177	22	3	solve	solve	VERB
ap-1177	22	4	problems	problem	NOUN
ap-1177	22	5	in	in	ADP
ap-1177	22	6	simulating	simulate	VERB
ap-1177	22	7	chemical	chemical	NOUN
ap-1177	22	8	processes	process	NOUN
ap-1177	22	9	it	it	PRON
ap-1177	22	10	is	be	AUX
ap-1177	22	11	necessary	necessary	ADJ
ap-1177	22	12	to	to	PART
ap-1177	22	13	create	create	VERB
ap-1177	22	14	a	a	DET
ap-1177	22	15	bank	bank	NOUN
ap-1177	22	16	of	of	ADP
ap-1177	22	17	simple	simple	ADJ
ap-1177	22	18	,	,	PUNCT
ap-1177	22	19	evident	evident	ADJ
ap-1177	22	20	mathematical	mathematical	ADJ
ap-1177	22	21	models	model	NOUN
ap-1177	22	22	of	of	ADP
ap-1177	22	23	the	the	DET
ap-1177	22	24	processes	process	NOUN
ap-1177	22	25	of	of	ADP
ap-1177	22	26	chemical	chemical	NOUN
ap-1177	22	27	technology	technology	NOUN
ap-1177	22	28	which	which	PRON
ap-1177	22	29	are	be	AUX
ap-1177	22	30	easily	easily	ADV
ap-1177	22	31	solved	solve	VERB
ap-1177	22	32	using	use	VERB
ap-1177	22	33	a	a	DET
ap-1177	22	34	computer	computer	NOUN
ap-1177	22	35	.	.	PUNCT
ap-1177	23	1	stochastic	stochastic	ADJ
ap-1177	23	2	models	model	NOUN
ap-1177	23	3	of	of	ADP
ap-1177	23	4	these	these	DET
ap-1177	23	5	processes	process	NOUN
ap-1177	23	6	obtained	obtain	VERB
ap-1177	23	7	using	use	VERB
ap-1177	23	8	fundamental	fundamental	ADJ
ap-1177	23	9	methods	method	NOUN
ap-1177	23	10	of	of	ADP
ap-1177	23	11	modern	modern	ADJ
ap-1177	23	12	statistical	statistical	ADJ
ap-1177	23	13	theory	theory	NOUN
ap-1177	23	14	fully	fully	ADV
ap-1177	23	15	satisfy	satisfy	VERB
ap-1177	23	16	these	these	DET
ap-1177	23	17	requirements	requirement	NOUN
ap-1177	23	18	.	.	PUNCT
ap-1177	24	1	feller	feller	NOUN
ap-1177	25	1	[	[	X
ap-1177	25	2	14	14	NUM
ap-1177	25	3	]	]	PUNCT
ap-1177	25	4	reported	report	VERB
ap-1177	25	5	well	well	ADV
ap-1177	25	6	-	-	PUNCT
ap-1177	25	7	arranged	arrange	VERB
ap-1177	25	8	and	and	CCONJ
ap-1177	25	9	inspiring	inspiring	ADJ
ap-1177	25	10	review	review	NOUN
ap-1177	25	11	of	of	ADP
ap-1177	25	12	stochastic	stochastic	ADJ
ap-1177	25	13	theories	theory	NOUN
ap-1177	25	14	in	in	ADP
ap-1177	25	15	his	his	PRON
ap-1177	25	16	comprehensive	comprehensive	ADJ
ap-1177	25	17	book	book	NOUN
ap-1177	25	18	.	.	PUNCT
ap-1177	26	1	2	2	NUM
ap-1177	26	2	classification	classification	NOUN
ap-1177	26	3	of	of	ADP
ap-1177	26	4	grinding	grind	VERB
ap-1177	26	5	kinetics	kinetic	NOUN
ap-1177	26	6	models	model	NOUN
ap-1177	26	7	the	the	DET
ap-1177	26	8	existing	exist	VERB
ap-1177	26	9	variety	variety	NOUN
ap-1177	26	10	of	of	ADP
ap-1177	26	11	types	type	NOUN
ap-1177	26	12	of	of	ADP
ap-1177	26	13	markov	markov	NOUN
ap-1177	26	14	processes	process	NOUN
ap-1177	26	15	allows	allow	VERB
ap-1177	26	16	the	the	DET
ap-1177	26	17	construction	construction	NOUN
ap-1177	26	18	of	of	ADP
ap-1177	26	19	stochastic	stochastic	ADJ
ap-1177	26	20	models	model	NOUN
ap-1177	26	21	of	of	ADP
ap-1177	26	22	disintegration	disintegration	NOUN
ap-1177	26	23	kinetics	kinetic	NOUN
ap-1177	26	24	of	of	ADP
ap-1177	26	25	varying	vary	VERB
ap-1177	26	26	complexity	complexity	NOUN
ap-1177	26	27	that	that	PRON
ap-1177	26	28	adequately	adequately	ADV
ap-1177	26	29	reflect	reflect	VERB
ap-1177	26	30	the	the	DET
ap-1177	26	31	specific	specific	ADJ
ap-1177	26	32	features	feature	NOUN
ap-1177	26	33	of	of	ADP
ap-1177	26	34	the	the	DET
ap-1177	26	35	process	process	NOUN
ap-1177	26	36	of	of	ADP
ap-1177	26	37	grinding	grind	VERB
ap-1177	26	38	materials	material	NOUN
ap-1177	26	39	in	in	ADP
ap-1177	26	40	a	a	DET
ap-1177	26	41	range	range	NOUN
ap-1177	26	42	of	of	ADP
ap-1177	26	43	milling	mill	VERB
ap-1177	26	44	plants	plant	NOUN
ap-1177	26	45	.	.	PUNCT
ap-1177	27	1	the	the	DET
ap-1177	27	2	jump	jump	NOUN
ap-1177	27	3	markov	markov	NOUN
ap-1177	27	4	process	process	NOUN
ap-1177	27	5	most	most	ADV
ap-1177	27	6	adequately	adequately	ADV
ap-1177	27	7	describes	describe	VERB
ap-1177	27	8	the	the	DET
ap-1177	27	9	impulse	impulse	ADJ
ap-1177	27	10	character	character	NOUN
ap-1177	27	11	of	of	ADP
ap-1177	27	12	loading	loading	NOUN
ap-1177	27	13	of	of	ADP
ap-1177	27	14	solids	solid	NOUN
ap-1177	27	15	in	in	ADP
ap-1177	27	16	a	a	DET
ap-1177	27	17	shock	shock	NOUN
ap-1177	27	18	-	-	PUNCT
ap-1177	27	19	loading	loading	NOUN
ap-1177	27	20	grinder	grinder	NOUN
ap-1177	27	21	.	.	PUNCT
ap-1177	28	1	generally	generally	ADV
ap-1177	28	2	,	,	PUNCT
ap-1177	28	3	bead	bead	VERB
ap-1177	28	4	vibrations	vibration	NOUN
ap-1177	28	5	result	result	VERB
ap-1177	28	6	in	in	ADP
ap-1177	28	7	a	a	DET
ap-1177	28	8	time	time	NOUN
ap-1177	28	9	-	-	PUNCT
ap-1177	28	10	continuous	continuous	ADJ
ap-1177	28	11	spectrum	spectrum	NOUN
ap-1177	28	12	of	of	ADP
ap-1177	28	13	actions	action	NOUN
ap-1177	28	14	on	on	ADP
ap-1177	28	15	the	the	DET
ap-1177	28	16	material	material	NOUN
ap-1177	28	17	.	.	PUNCT
ap-1177	29	1	this	this	PRON
ap-1177	29	2	can	can	AUX
ap-1177	29	3	be	be	AUX
ap-1177	29	4	approximated	approximate	VERB
ap-1177	29	5	by	by	ADP
ap-1177	29	6	a	a	DET
ap-1177	29	7	continuous	continuous	ADJ
ap-1177	29	8	markov	markov	NOUN
ap-1177	29	9	process	process	NOUN
ap-1177	29	10	.	.	PUNCT
ap-1177	30	1	a	a	DET
ap-1177	30	2	classification	classification	NOUN
ap-1177	30	3	of	of	ADP
ap-1177	30	4	mathematical	mathematical	ADJ
ap-1177	30	5	models	model	NOUN
ap-1177	30	6	of	of	ADP
ap-1177	30	7	grinding	grind	VERB
ap-1177	30	8	kinetics	kinetic	NOUN
ap-1177	30	9	,	,	PUNCT
ap-1177	30	10	based	base	VERB
ap-1177	30	11	on	on	ADP
ap-1177	30	12	their	their	PRON
ap-1177	30	13	relationship	relationship	NOUN
ap-1177	30	14	to	to	ADP
ap-1177	30	15	a	a	DET
ap-1177	30	16	fixed	fix	VERB
ap-1177	30	17	class	class	NOUN
ap-1177	30	18	of	of	ADP
ap-1177	30	19	markov	markov	NOUN
ap-1177	30	20	processes	process	NOUN
ap-1177	30	21	,	,	PUNCT
ap-1177	30	22	is	be	AUX
ap-1177	30	23	given	give	VERB
ap-1177	30	24	in	in	ADP
ap-1177	30	25	table	table	NOUN
ap-1177	30	26	1	1	NUM
ap-1177	30	27	.	.	PUNCT
ap-1177	31	1	this	this	DET
ap-1177	31	2	classification	classification	NOUN
ap-1177	31	3	of	of	ADP
ap-1177	31	4	models	model	NOUN
ap-1177	31	5	is	be	AUX
ap-1177	31	6	incomplete	incomplete	ADJ
ap-1177	31	7	and	and	CCONJ
ap-1177	31	8	provisional	provisional	ADJ
ap-1177	31	9	.	.	PUNCT
ap-1177	32	1	nevertheless	nevertheless	ADV
ap-1177	32	2	,	,	PUNCT
ap-1177	32	3	it	it	PRON
ap-1177	32	4	convincingly	convincingly	ADV
ap-1177	32	5	shows	show	VERB
ap-1177	32	6	the	the	DET
ap-1177	32	7	physical	physical	ADJ
ap-1177	32	8	conciseness	conciseness	NOUN
ap-1177	32	9	of	of	ADP
ap-1177	32	10	markov	markov	NOUN
ap-1177	32	11	models	model	NOUN
ap-1177	32	12	of	of	ADP
ap-1177	32	13	grinding	grind	VERB
ap-1177	32	14	processes	process	NOUN
ap-1177	32	15	,	,	PUNCT
ap-1177	32	16	and	and	CCONJ
ap-1177	32	17	also	also	ADV
ap-1177	32	18	the	the	DET
ap-1177	32	19	potential	potential	NOUN
ap-1177	32	20	of	of	ADP
ap-1177	32	21	the	the	DET
ap-1177	32	22	markov	markov	NOUN
ap-1177	32	23	-	-	PUNCT
ap-1177	32	24	based	base	VERB
ap-1177	32	25	methodology	methodology	NOUN
ap-1177	32	26	.	.	PUNCT
ap-1177	33	1	70	70	NUM
ap-1177	33	2	acta	acta	PROPN
ap-1177	33	3	polytechnica	polytechnica	PROPN
ap-1177	33	4	vol	vol	NOUN
ap-1177	33	5	.	.	PROPN
ap-1177	34	1	50	50	NUM
ap-1177	34	2	no	no	NOUN
ap-1177	34	3	.	.	PUNCT
ap-1177	35	1	2/2010	2/2010	NUM
ap-1177	35	2	table	table	NOUN
ap-1177	35	3	1	1	NUM
ap-1177	35	4	:	:	PUNCT
ap-1177	35	5	classification	classification	NOUN
ap-1177	35	6	of	of	ADP
ap-1177	35	7	grinding	grind	VERB
ap-1177	35	8	kinetics	kinetic	NOUN
ap-1177	35	9	models	model	NOUN
ap-1177	35	10	group	group	PROPN
ap-1177	35	11	no	no	PROPN
ap-1177	35	12	.	.	PUNCT
ap-1177	36	1	markov	markov	NOUN
ap-1177	36	2	process	process	NOUN
ap-1177	36	3	type	type	NOUN
ap-1177	36	4	model	model	NOUN
ap-1177	36	5	type	type	NOUN
ap-1177	36	6	primary	primary	ADJ
ap-1177	36	7	disintegration	disintegration	NOUN
ap-1177	36	8	mechanism	mechanism	NOUN
ap-1177	36	9	grinder	grinder	NOUN
ap-1177	36	10	design	design	NOUN
ap-1177	36	11	1	1	NUM
ap-1177	36	12	markov	markov	NOUN
ap-1177	36	13	chain	chain	NOUN
ap-1177	36	14	(	(	PUNCT
ap-1177	36	15	state	state	NOUN
ap-1177	36	16	-	-	PUNCT
ap-1177	36	17	discrete	discrete	ADJ
ap-1177	36	18	and	and	CCONJ
ap-1177	36	19	time	time	NOUN
ap-1177	36	20	-	-	PUNCT
ap-1177	36	21	discrete	discrete	NOUN
ap-1177	36	22	)	)	PUNCT
ap-1177	36	23	matrix	matrix	NOUN
ap-1177	36	24	free	free	ADJ
ap-1177	36	25	impact	impact	NOUN
ap-1177	36	26	shock	shock	NOUN
ap-1177	36	27	mills	mill	NOUN
ap-1177	36	28	(	(	PUNCT
ap-1177	36	29	shock	shock	NOUN
ap-1177	36	30	–	–	PUNCT
ap-1177	36	31	reflective	reflective	ADJ
ap-1177	36	32	,	,	PUNCT
ap-1177	36	33	disintegrator	disintegrator	NOUN
ap-1177	36	34	,	,	PUNCT
ap-1177	36	35	etc	etc	X
ap-1177	36	36	.	.	X
ap-1177	36	37	)	)	PUNCT
ap-1177	36	38	,	,	PUNCT
ap-1177	36	39	roller	roller	NOUN
ap-1177	36	40	mills	mill	NOUN
ap-1177	36	41	2	2	NUM
ap-1177	36	42	markov	markov	NOUN
ap-1177	36	43	process	process	NOUN
ap-1177	36	44	,	,	PUNCT
ap-1177	36	45	state	state	NOUN
ap-1177	36	46	-	-	PUNCT
ap-1177	36	47	discrete	discrete	ADJ
ap-1177	36	48	and	and	CCONJ
ap-1177	36	49	time	time	NOUN
ap-1177	36	50	-	-	PUNCT
ap-1177	36	51	continuous	continuous	ADJ
ap-1177	36	52	(	(	PUNCT
ap-1177	36	53	transitions	transition	NOUN
ap-1177	36	54	in	in	ADP
ap-1177	36	55	casual	casual	ADJ
ap-1177	36	56	instants	instant	NOUN
ap-1177	36	57	)	)	PUNCT
ap-1177	36	58	differential	differential	NOUN
ap-1177	36	59	–	–	PUNCT
ap-1177	36	60	differential	differential	ADJ
ap-1177	36	61	constrained	constrain	VERB
ap-1177	36	62	impact	impact	NOUN
ap-1177	36	63	,	,	PUNCT
ap-1177	36	64	abrasion	abrasion	NOUN
ap-1177	36	65	,	,	PUNCT
ap-1177	36	66	crushing	crush	VERB
ap-1177	36	67	vibrational	vibrational	NOUN
ap-1177	36	68	,	,	PUNCT
ap-1177	36	69	magnetic	magnetic	ADJ
ap-1177	36	70	-	-	PUNCT
ap-1177	36	71	vortical	vortical	ADJ
ap-1177	36	72	,	,	PUNCT
ap-1177	36	73	drum	drum	NOUN
ap-1177	36	74	-	-	PUNCT
ap-1177	36	75	type	type	NOUN
ap-1177	36	76	,	,	PUNCT
ap-1177	36	77	spherical	spherical	ADJ
ap-1177	36	78	,	,	PUNCT
ap-1177	36	79	epicyclic	epicyclic	ADJ
ap-1177	36	80	mills	mill	NOUN
ap-1177	36	81	,	,	PUNCT
ap-1177	36	82	etc	etc	X
ap-1177	36	83	.	.	X
ap-1177	36	84	3	3	NUM
ap-1177	36	85	jump	jump	NOUN
ap-1177	36	86	process	process	NOUN
ap-1177	36	87	(	(	PUNCT
ap-1177	36	88	time	time	NOUN
ap-1177	36	89	-	-	PUNCT
ap-1177	36	90	continuous	continuous	ADJ
ap-1177	36	91	and	and	CCONJ
ap-1177	36	92	state	state	NOUN
ap-1177	36	93	-	-	PUNCT
ap-1177	36	94	continuous	continuous	ADJ
ap-1177	36	95	transition	transition	NOUN
ap-1177	36	96	in	in	ADP
ap-1177	36	97	casual	casual	ADJ
ap-1177	36	98	instants	instant	NOUN
ap-1177	36	99	)	)	PUNCT
ap-1177	36	100	integral	integral	ADJ
ap-1177	36	101	–	–	PUNCT
ap-1177	36	102	differential	differential	ADJ
ap-1177	36	103	free	free	ADJ
ap-1177	36	104	impact	impact	NOUN
ap-1177	36	105	shock	shock	NOUN
ap-1177	36	106	-	-	PUNCT
ap-1177	36	107	reflective	reflective	ADJ
ap-1177	36	108	,	,	PUNCT
ap-1177	36	109	disintegrators	disintegrator	NOUN
ap-1177	36	110	,	,	PUNCT
ap-1177	36	111	hammer	hammer	NOUN
ap-1177	36	112	mills	mill	NOUN
ap-1177	36	113	,	,	PUNCT
ap-1177	36	114	rotor	rotor	NOUN
ap-1177	36	115	,	,	PUNCT
ap-1177	36	116	etc	etc	X
ap-1177	36	117	.	.	X
ap-1177	36	118	4	4	NUM
ap-1177	36	119	diffusive	diffusive	ADJ
ap-1177	36	120	process	process	NOUN
ap-1177	36	121	(	(	PUNCT
ap-1177	36	122	continuous	continuous	ADJ
ap-1177	36	123	)	)	PUNCT
ap-1177	36	124	diffusive	diffusive	ADJ
ap-1177	36	125	abrasion	abrasion	NOUN
ap-1177	36	126	bead	bead	NOUN
ap-1177	36	127	,	,	PUNCT
ap-1177	36	128	sand	sand	NOUN
ap-1177	36	129	mills	mill	NOUN
ap-1177	36	130	,	,	PUNCT
ap-1177	36	131	etc	etc	X
ap-1177	36	132	.	.	X
ap-1177	36	133	5	5	NUM
ap-1177	36	134	mixed	mixed	ADJ
ap-1177	36	135	process	process	NOUN
ap-1177	36	136	integral	integral	ADJ
ap-1177	36	137	–	–	PUNCT
ap-1177	36	138	differential	differential	ADJ
ap-1177	36	139	+	+	CCONJ
ap-1177	36	140	diffusive	diffusive	ADJ
ap-1177	36	141	,	,	PUNCT
ap-1177	36	142	integral	integral	ADJ
ap-1177	36	143	–	–	PUNCT
ap-1177	36	144	differential	differential	ADJ
ap-1177	36	145	+	+	CCONJ
ap-1177	36	146	differential	differential	ADJ
ap-1177	36	147	–	–	PUNCT
ap-1177	36	148	differential	differential	ADJ
ap-1177	36	149	)	)	PUNCT
ap-1177	36	150	abrasion	abrasion	NOUN
ap-1177	36	151	+	+	CCONJ
ap-1177	36	152	free	free	ADJ
ap-1177	36	153	impact	impact	NOUN
ap-1177	36	154	,	,	PUNCT
ap-1177	36	155	constrained	constrain	VERB
ap-1177	36	156	impact	impact	NOUN
ap-1177	36	157	jet	jet	NOUN
ap-1177	36	158	-	-	PUNCT
ap-1177	36	159	mills	mill	NOUN
ap-1177	36	160	:	:	PUNCT
ap-1177	36	161	counter	counter	NOUN
ap-1177	36	162	-	-	ADJ
ap-1177	36	163	current	current	ADJ
ap-1177	36	164	,	,	PUNCT
ap-1177	36	165	ring	ring	NOUN
ap-1177	36	166	,	,	PUNCT
ap-1177	36	167	pulsating	pulsating	ADJ
ap-1177	36	168	,	,	PUNCT
ap-1177	36	169	centrifugal	centrifugal	ADJ
ap-1177	36	170	–	–	PUNCT
ap-1177	36	171	counter	counter	NOUN
ap-1177	36	172	-	-	NOUN
ap-1177	36	173	current	current	ADJ
ap-1177	36	174	,	,	PUNCT
ap-1177	36	175	etc	etc	X
ap-1177	36	176	.	.	X
ap-1177	36	177	3	3	NUM
ap-1177	36	178	stochastic	stochastic	NOUN
ap-1177	36	179	models	model	NOUN
ap-1177	36	180	an	an	DET
ap-1177	36	181	analysis	analysis	NOUN
ap-1177	36	182	of	of	ADP
ap-1177	36	183	the	the	DET
ap-1177	36	184	milling	milling	NOUN
ap-1177	36	185	of	of	ADP
ap-1177	36	186	dispersed	disperse	VERB
ap-1177	36	187	material	material	NOUN
ap-1177	36	188	in	in	ADP
ap-1177	36	189	a	a	DET
ap-1177	36	190	device	device	NOUN
ap-1177	36	191	with	with	ADP
ap-1177	36	192	a	a	DET
ap-1177	36	193	periodical	periodical	ADJ
ap-1177	36	194	action	action	NOUN
ap-1177	36	195	of	of	ADP
ap-1177	36	196	theoretical	theoretical	ADJ
ap-1177	36	197	merging	merging	NOUN
ap-1177	36	198	,	,	PUNCT
ap-1177	36	199	as	as	SCONJ
ap-1177	36	200	described	describe	VERB
ap-1177	36	201	by	by	ADP
ap-1177	36	202	the	the	DET
ap-1177	36	203	matrix	matrix	NOUN
ap-1177	36	204	model	model	NOUN
ap-1177	36	205	,	,	PUNCT
ap-1177	36	206	shows	show	VERB
ap-1177	36	207	that	that	SCONJ
ap-1177	36	208	this	this	DET
ap-1177	36	209	process	process	NOUN
ap-1177	36	210	can	can	AUX
ap-1177	36	211	be	be	AUX
ap-1177	36	212	classified	classify	VERB
ap-1177	36	213	as	as	ADP
ap-1177	36	214	a	a	DET
ap-1177	36	215	stationary	stationary	ADJ
ap-1177	36	216	markov	markov	NOUN
ap-1177	36	217	chain	chain	NOUN
ap-1177	36	218	.	.	PUNCT
ap-1177	37	1	for	for	ADP
ap-1177	37	2	this	this	DET
ap-1177	37	3	purpose	purpose	NOUN
ap-1177	37	4	,	,	PUNCT
ap-1177	37	5	in	in	ADP
ap-1177	37	6	accordance	accordance	NOUN
ap-1177	37	7	with	with	ADP
ap-1177	37	8	the	the	DET
ap-1177	37	9	terminology	terminology	NOUN
ap-1177	37	10	used	use	VERB
ap-1177	37	11	in	in	ADP
ap-1177	37	12	the	the	DET
ap-1177	37	13	theory	theory	NOUN
ap-1177	37	14	of	of	ADP
ap-1177	37	15	markov	markov	NOUN
ap-1177	37	16	processes	process	NOUN
ap-1177	37	17	,	,	PUNCT
ap-1177	37	18	we	we	PRON
ap-1177	37	19	will	will	AUX
ap-1177	37	20	introduce	introduce	VERB
ap-1177	37	21	the	the	DET
ap-1177	37	22	concept	concept	NOUN
ap-1177	37	23	of	of	ADP
ap-1177	37	24	a	a	DET
ap-1177	37	25	vector	vector	NOUN
ap-1177	37	26	line	line	NOUN
ap-1177	37	27	of	of	ADP
ap-1177	37	28	probabilities	probability	NOUN
ap-1177	37	29	of	of	ADP
ap-1177	37	30	the	the	DET
ap-1177	37	31	states	state	NOUN
ap-1177	37	32	of	of	ADP
ap-1177	37	33	the	the	DET
ap-1177	37	34	modeling	modeling	NOUN
ap-1177	37	35	system	system	NOUN
ap-1177	37	36	that	that	PRON
ap-1177	37	37	is	be	AUX
ap-1177	37	38	identical	identical	ADJ
ap-1177	37	39	to	to	ADP
ap-1177	37	40	a	a	DET
ap-1177	37	41	vector	vector	NOUN
ap-1177	37	42	column	column	NOUN
ap-1177	37	43	of	of	ADP
ap-1177	37	44	the	the	DET
ap-1177	37	45	size	size	NOUN
ap-1177	37	46	distribution	distribution	NOUN
ap-1177	37	47	of	of	ADP
ap-1177	37	48	the	the	DET
ap-1177	37	49	ground	ground	NOUN
ap-1177	37	50	material	material	NOUN
ap-1177	37	51	[	[	X
ap-1177	37	52	2	2	NUM
ap-1177	37	53	]	]	PUNCT
ap-1177	37	54	π(k	π(k	PROPN
ap-1177	38	1	+	+	CCONJ
ap-1177	38	2	1	1	X
ap-1177	38	3	)	)	PUNCT
ap-1177	38	4	=	=	SYM
ap-1177	38	5	π(k)p	π(k)p	PROPN
ap-1177	38	6	,	,	PUNCT
ap-1177	38	7	k	k	X
ap-1177	38	8	=	=	SYM
ap-1177	38	9	0	0	NUM
ap-1177	38	10	,	,	PUNCT
ap-1177	38	11	1	1	NUM
ap-1177	38	12	,	,	PUNCT
ap-1177	38	13	2	2	NUM
ap-1177	38	14	,	,	PUNCT
ap-1177	38	15	.	.	PUNCT
ap-1177	38	16	.	.	PUNCT
ap-1177	38	17	.	.	PUNCT
ap-1177	39	1	;	;	PUNCT
ap-1177	39	2	(	(	PUNCT
ap-1177	39	3	1	1	X
ap-1177	39	4	)	)	PUNCT
ap-1177	39	5	π(k)|k=0	π(k)|k=0	PROPN
ap-1177	39	6	=	=	SYM
ap-1177	39	7	π0	π0	NOUN
ap-1177	39	8	,	,	PUNCT
ap-1177	39	9	or	or	CCONJ
ap-1177	39	10	π(k	π(k	NUM
ap-1177	39	11	)	)	PUNCT
ap-1177	40	1	=	=	PUNCT
ap-1177	40	2	π0p	π0p	PROPN
ap-1177	40	3	k	k	PROPN
ap-1177	40	4	,	,	PUNCT
ap-1177	40	5	(	(	PUNCT
ap-1177	40	6	2	2	X
ap-1177	40	7	)	)	PUNCT
ap-1177	40	8	where	where	SCONJ
ap-1177	40	9	π0	π0	NOUN
ap-1177	40	10	–	–	PUNCT
ap-1177	40	11	a	a	DET
ap-1177	40	12	vector	vector	NOUN
ap-1177	40	13	of	of	ADP
ap-1177	40	14	initial	initial	ADJ
ap-1177	40	15	probability	probability	NOUN
ap-1177	40	16	distribution	distribution	NOUN
ap-1177	40	17	;	;	PUNCT
ap-1177	40	18	π(k	π(k	NUM
ap-1177	40	19	)	)	PUNCT
ap-1177	40	20	–	–	PUNCT
ap-1177	40	21	a	a	DET
ap-1177	40	22	vector	vector	NOUN
ap-1177	40	23	of	of	ADP
ap-1177	40	24	probabilities	probability	NOUN
ap-1177	40	25	of	of	ADP
ap-1177	40	26	states	state	NOUN
ap-1177	40	27	in	in	ADP
ap-1177	40	28	time	time	NOUN
ap-1177	40	29	step	step	NOUN
ap-1177	40	30	k	k	NOUN
ap-1177	40	31	;	;	PUNCT
ap-1177	40	32	p	p	X
ap-1177	40	33	–	–	PUNCT
ap-1177	40	34	matrix	matrix	NOUN
ap-1177	40	35	of	of	ADP
ap-1177	40	36	transition	transition	NOUN
ap-1177	40	37	.	.	PUNCT
ap-1177	41	1	this	this	PRON
ap-1177	41	2	is	be	AUX
ap-1177	41	3	a	a	DET
ap-1177	41	4	model	model	NOUN
ap-1177	41	5	of	of	ADP
ap-1177	41	6	periodical	periodical	ADJ
ap-1177	41	7	milling	milling	NOUN
ap-1177	41	8	that	that	PRON
ap-1177	41	9	can	can	AUX
ap-1177	41	10	be	be	AUX
ap-1177	41	11	developed	develop	VERB
ap-1177	41	12	with	with	ADP
ap-1177	41	13	the	the	DET
ap-1177	41	14	help	help	NOUN
ap-1177	41	15	of	of	ADP
ap-1177	41	16	a	a	DET
ap-1177	41	17	stationary	stationary	ADJ
ap-1177	41	18	markov	markov	NOUN
ap-1177	41	19	chain	chain	NOUN
ap-1177	41	20	.	.	PUNCT
ap-1177	42	1	however	however	ADV
ap-1177	42	2	,	,	PUNCT
ap-1177	42	3	loading	load	VERB
ap-1177	42	4	particles	particle	NOUN
ap-1177	42	5	in	in	ADP
ap-1177	42	6	real	real	ADJ
ap-1177	42	7	conditions	condition	NOUN
ap-1177	42	8	happens	happen	VERB
ap-1177	42	9	in	in	ADP
ap-1177	42	10	random	random	ADJ
ap-1177	42	11	time	time	NOUN
ap-1177	42	12	instants	instant	NOUN
ap-1177	42	13	.	.	PUNCT
ap-1177	43	1	it	it	PRON
ap-1177	43	2	is	be	AUX
ap-1177	43	3	therefore	therefore	ADV
ap-1177	43	4	necessary	necessary	ADJ
ap-1177	43	5	to	to	PART
ap-1177	43	6	describe	describe	VERB
ap-1177	43	7	grinding	grind	VERB
ap-1177	43	8	processes	process	NOUN
ap-1177	43	9	with	with	ADP
ap-1177	43	10	the	the	DET
ap-1177	43	11	help	help	NOUN
ap-1177	43	12	of	of	ADP
ap-1177	43	13	a	a	DET
ap-1177	43	14	discrete	discrete	ADJ
ap-1177	43	15	markov	markov	NOUN
ap-1177	43	16	process	process	NOUN
ap-1177	43	17	,	,	PUNCT
ap-1177	43	18	bringing	bring	VERB
ap-1177	43	19	in	in	ADP
ap-1177	43	20	what	what	PRON
ap-1177	43	21	happens	happen	VERB
ap-1177	43	22	at	at	ADP
ap-1177	43	23	casual	casual	ADJ
ap-1177	43	24	time	time	NOUN
ap-1177	43	25	intervals	interval	NOUN
ap-1177	43	26	.	.	PUNCT
ap-1177	44	1	it	it	PRON
ap-1177	44	2	is	be	AUX
ap-1177	44	3	known	know	VERB
ap-1177	44	4	[	[	PUNCT
ap-1177	44	5	4	4	NUM
ap-1177	44	6	]	]	PUNCT
ap-1177	44	7	a	a	DET
ap-1177	44	8	markov	markov	NOUN
ap-1177	44	9	process	process	NOUN
ap-1177	44	10	with	with	ADP
ap-1177	44	11	continuous	continuous	ADJ
ap-1177	44	12	time	time	NOUN
ap-1177	44	13	and	and	CCONJ
ap-1177	44	14	discrete	discrete	ADJ
ap-1177	44	15	states	state	NOUN
ap-1177	44	16	is	be	AUX
ap-1177	44	17	determined	determine	VERB
ap-1177	44	18	by	by	ADP
ap-1177	44	19	matrix	matrix	NOUN
ap-1177	44	20	a	a	PRON
ap-1177	44	21	of	of	ADP
ap-1177	44	22	intensities	intensity	NOUN
ap-1177	44	23	of	of	ADP
ap-1177	44	24	transitions	transition	NOUN
ap-1177	44	25	with	with	ADP
ap-1177	44	26	time	time	NOUN
ap-1177	44	27	-	-	PUNCT
ap-1177	44	28	constant	constant	ADJ
ap-1177	44	29	components	component	NOUN
ap-1177	44	30	aij	aij	PROPN
ap-1177	44	31	and	and	CCONJ
ap-1177	44	32	vector	vector	NOUN
ap-1177	44	33	π0	π0	NOUN
ap-1177	44	34	of	of	ADP
ap-1177	44	35	probabilities	probability	NOUN
ap-1177	44	36	of	of	ADP
ap-1177	44	37	states	state	NOUN
ap-1177	44	38	of	of	ADP
ap-1177	44	39	the	the	DET
ap-1177	44	40	system	system	NOUN
ap-1177	44	41	at	at	ADP
ap-1177	44	42	the	the	DET
ap-1177	44	43	initial	initial	ADJ
ap-1177	44	44	time	time	NOUN
ap-1177	44	45	instant	instant	NOUN
ap-1177	44	46	.	.	PUNCT
ap-1177	45	1	a	a	DET
ap-1177	45	2	mathematical	mathematical	ADJ
ap-1177	45	3	description	description	NOUN
ap-1177	45	4	of	of	ADP
ap-1177	45	5	the	the	DET
ap-1177	45	6	grinding	grind	VERB
ap-1177	45	7	process	process	NOUN
ap-1177	45	8	in	in	ADP
ap-1177	45	9	this	this	DET
ap-1177	45	10	case	case	NOUN
ap-1177	45	11	is	be	AUX
ap-1177	45	12	dπ(t	dπ(t	NOUN
ap-1177	45	13	)	)	PUNCT
ap-1177	45	14	dt	dt	NOUN
ap-1177	46	1	=	=	SYM
ap-1177	46	2	π(t)a	π(t)a	NOUN
ap-1177	46	3	;	;	PUNCT
ap-1177	46	4	(	(	PUNCT
ap-1177	46	5	3	3	X
ap-1177	46	6	)	)	PUNCT
ap-1177	46	7	π(0	π(0	NOUN
ap-1177	46	8	)	)	PUNCT
ap-1177	46	9	=	=	SYM
ap-1177	46	10	π0	π0	NOUN
ap-1177	46	11	.	.	PUNCT
ap-1177	47	1	the	the	DET
ap-1177	47	2	solution	solution	NOUN
ap-1177	47	3	of	of	ADP
ap-1177	47	4	this	this	DET
ap-1177	47	5	equation	equation	NOUN
ap-1177	47	6	π(t	π(t	PROPN
ap-1177	47	7	)	)	PUNCT
ap-1177	47	8	=	=	SYM
ap-1177	47	9	π0	π0	NOUN
ap-1177	47	10	exp(at	exp(at	NOUN
ap-1177	47	11	)	)	PUNCT
ap-1177	47	12	.	.	PUNCT
ap-1177	48	1	(	(	PUNCT
ap-1177	48	2	4	4	X
ap-1177	48	3	)	)	PUNCT
ap-1177	48	4	the	the	DET
ap-1177	48	5	matrix	matrix	NOUN
ap-1177	48	6	a	a	PRON
ap-1177	48	7	of	of	ADP
ap-1177	48	8	the	the	DET
ap-1177	48	9	transition	transition	NOUN
ap-1177	48	10	intensities	intensity	NOUN
ap-1177	48	11	is	be	AUX
ap-1177	48	12	differential	differential	ADJ
ap-1177	48	13	,	,	PUNCT
ap-1177	48	14	and	and	CCONJ
ap-1177	48	15	it	it	PRON
ap-1177	48	16	has	have	VERB
ap-1177	48	17	a	a	DET
ap-1177	48	18	close	close	ADJ
ap-1177	48	19	connection	connection	NOUN
ap-1177	48	20	with	with	ADP
ap-1177	48	21	the	the	DET
ap-1177	48	22	stochastic	stochastic	ADJ
ap-1177	48	23	matrix	matrix	NOUN
ap-1177	48	24	p	p	NOUN
ap-1177	48	25	of	of	ADP
ap-1177	48	26	the	the	DET
ap-1177	48	27	transitions	transition	NOUN
ap-1177	48	28	[	[	X
ap-1177	48	29	4	4	NUM
ap-1177	48	30	]	]	PUNCT
ap-1177	48	31	.	.	PUNCT
ap-1177	49	1	let	let	VERB
ap-1177	49	2	us	we	PRON
ap-1177	49	3	find	find	VERB
ap-1177	49	4	matrix	matrix	NOUN
ap-1177	49	5	a	a	PRON
ap-1177	49	6	for	for	ADP
ap-1177	49	7	a	a	DET
ap-1177	49	8	time	time	NOUN
ap-1177	49	9	-	-	PUNCT
ap-1177	49	10	continuous	continuous	ADJ
ap-1177	49	11	process	process	NOUN
ap-1177	49	12	,	,	PUNCT
ap-1177	49	13	for	for	ADP
ap-1177	49	14	which	which	PRON
ap-1177	49	15	the	the	DET
ap-1177	49	16	probabilities	probability	NOUN
ap-1177	49	17	of	of	ADP
ap-1177	49	18	conditions	condition	NOUN
ap-1177	49	19	at	at	ADP
ap-1177	49	20	moments	moment	NOUN
ap-1177	49	21	of	of	ADP
ap-1177	49	22	time	time	NOUN
ap-1177	49	23	t	t	PROPN
ap-1177	49	24	=	=	SYM
ap-1177	49	25	0	0	NUM
ap-1177	49	26	,	,	PUNCT
ap-1177	49	27	1	1	NUM
ap-1177	49	28	,	,	PUNCT
ap-1177	49	29	2	2	NUM
ap-1177	49	30	,	,	PUNCT
ap-1177	49	31	.	.	PUNCT
ap-1177	49	32	.	.	PUNCT
ap-1177	50	1	.	.	PUNCT
ap-1177	51	1	are	be	AUX
ap-1177	51	2	the	the	DET
ap-1177	51	3	same	same	ADJ
ap-1177	51	4	as	as	ADP
ap-1177	51	5	for	for	ADP
ap-1177	51	6	the	the	DET
ap-1177	51	7	timediscrete	timediscrete	NOUN
ap-1177	51	8	process	process	NOUN
ap-1177	51	9	,	,	PUNCT
ap-1177	51	10	described	describe	VERB
ap-1177	51	11	by	by	ADP
ap-1177	51	12	matrix	matrix	NOUN
ap-1177	51	13	p	p	NOUN
ap-1177	51	14	.	.	PUNCT
ap-1177	52	1	the	the	DET
ap-1177	52	2	time	time	NOUN
ap-1177	52	3	of	of	ADP
ap-1177	52	4	one	one	NUM
ap-1177	52	5	transition	transition	NOUN
ap-1177	52	6	of	of	ADP
ap-1177	52	7	a	a	DET
ap-1177	52	8	discrete	discrete	ADJ
ap-1177	52	9	process	process	NOUN
ap-1177	52	10	is	be	AUX
ap-1177	52	11	taken	take	VERB
ap-1177	52	12	as	as	ADP
ap-1177	52	13	the	the	DET
ap-1177	52	14	time	time	NOUN
ap-1177	52	15	71	71	NUM
ap-1177	52	16	acta	acta	PROPN
ap-1177	52	17	polytechnica	polytechnica	PROPN
ap-1177	52	18	vol	vol	NOUN
ap-1177	52	19	.	.	PROPN
ap-1177	53	1	50	50	NUM
ap-1177	53	2	no	no	NOUN
ap-1177	53	3	.	.	PUNCT
ap-1177	54	1	2/2010	2/2010	NUM
ap-1177	54	2	unit	unit	NOUN
ap-1177	54	3	.	.	PUNCT
ap-1177	55	1	comparing	compare	VERB
ap-1177	55	2	the	the	DET
ap-1177	55	3	solutions	solution	NOUN
ap-1177	55	4	of	of	ADP
ap-1177	55	5	equations	equation	NOUN
ap-1177	55	6	(	(	PUNCT
ap-1177	55	7	2	2	NUM
ap-1177	55	8	)	)	PUNCT
ap-1177	55	9	,	,	PUNCT
ap-1177	55	10	(	(	PUNCT
ap-1177	55	11	4	4	X
ap-1177	55	12	)	)	PUNCT
ap-1177	55	13	at	at	ADP
ap-1177	55	14	t	t	NOUN
ap-1177	56	1	=	=	PUNCT
ap-1177	56	2	k	k	NOUN
ap-1177	56	3	we	we	PRON
ap-1177	56	4	can	can	AUX
ap-1177	56	5	see	see	VERB
ap-1177	56	6	that	that	PRON
ap-1177	56	7	exp(a	exp(a	NOUN
ap-1177	56	8	)	)	PUNCT
ap-1177	56	9	=	=	SYM
ap-1177	57	1	p	p	NOUN
ap-1177	57	2	or	or	CCONJ
ap-1177	57	3	a	a	PRON
ap-1177	57	4	=	=	X
ap-1177	57	5	ln	ln	ADJ
ap-1177	58	1	p.	p.	NOUN
ap-1177	58	2	(	(	PUNCT
ap-1177	58	3	5	5	X
ap-1177	58	4	)	)	PUNCT
ap-1177	58	5	the	the	DET
ap-1177	58	6	procedures	procedure	NOUN
ap-1177	58	7	for	for	ADP
ap-1177	58	8	finding	find	VERB
ap-1177	58	9	the	the	DET
ap-1177	58	10	logarithmic	logarithmic	ADJ
ap-1177	58	11	and	and	CCONJ
ap-1177	58	12	exponential	exponential	ADJ
ap-1177	58	13	function	function	NOUN
ap-1177	58	14	of	of	ADP
ap-1177	58	15	a	a	DET
ap-1177	58	16	matrix	matrix	NOUN
ap-1177	58	17	are	be	AUX
ap-1177	58	18	well	well	ADV
ap-1177	58	19	known	known	ADJ
ap-1177	58	20	[	[	X
ap-1177	58	21	5	5	NUM
ap-1177	58	22	]	]	PUNCT
ap-1177	58	23	.	.	PUNCT
ap-1177	59	1	expression	expression	NOUN
ap-1177	59	2	(	(	PUNCT
ap-1177	59	3	4	4	X
ap-1177	59	4	)	)	PUNCT
ap-1177	59	5	enables	enable	VERB
ap-1177	59	6	us	we	PRON
ap-1177	59	7	to	to	PART
ap-1177	59	8	determine	determine	VERB
ap-1177	59	9	some	some	PRON
ap-1177	59	10	of	of	ADP
ap-1177	59	11	the	the	DET
ap-1177	59	12	particles	particle	NOUN
ap-1177	59	13	of	of	ADP
ap-1177	59	14	each	each	DET
ap-1177	59	15	fraction	fraction	NOUN
ap-1177	59	16	at	at	ADP
ap-1177	59	17	any	any	DET
ap-1177	59	18	moment	moment	NOUN
ap-1177	59	19	t	t	NOUN
ap-1177	59	20	while	while	SCONJ
ap-1177	59	21	grinding	grind	VERB
ap-1177	59	22	a	a	DET
ap-1177	59	23	portion	portion	NOUN
ap-1177	59	24	of	of	ADP
ap-1177	59	25	an	an	DET
ap-1177	59	26	ideal	ideal	ADJ
ap-1177	59	27	mixture	mixture	NOUN
ap-1177	59	28	in	in	ADP
ap-1177	59	29	a	a	DET
ap-1177	59	30	device	device	NOUN
ap-1177	59	31	.	.	PUNCT
ap-1177	60	1	the	the	DET
ap-1177	60	2	hydrodynamic	hydrodynamic	ADJ
ap-1177	60	3	conditions	condition	NOUN
ap-1177	60	4	in	in	ADP
ap-1177	60	5	the	the	DET
ap-1177	60	6	device	device	NOUN
ap-1177	60	7	obviously	obviously	ADV
ap-1177	60	8	have	have	VERB
ap-1177	60	9	an	an	DET
ap-1177	60	10	essential	essential	ADJ
ap-1177	60	11	influence	influence	NOUN
ap-1177	60	12	on	on	ADP
ap-1177	60	13	the	the	DET
ap-1177	60	14	milling	milling	NOUN
ap-1177	60	15	process	process	NOUN
ap-1177	60	16	.	.	PUNCT
ap-1177	61	1	it	it	PRON
ap-1177	61	2	should	should	AUX
ap-1177	61	3	therefore	therefore	ADV
ap-1177	61	4	be	be	AUX
ap-1177	61	5	reflected	reflect	VERB
ap-1177	61	6	in	in	ADP
ap-1177	61	7	the	the	DET
ap-1177	61	8	mathematical	mathematical	ADJ
ap-1177	61	9	description	description	NOUN
ap-1177	61	10	.	.	PUNCT
ap-1177	62	1	in	in	ADP
ap-1177	62	2	accordance	accordance	NOUN
ap-1177	62	3	with	with	ADP
ap-1177	62	4	the	the	DET
ap-1177	62	5	theory	theory	NOUN
ap-1177	62	6	of	of	ADP
ap-1177	62	7	markov	markov	NOUN
ap-1177	62	8	processes	process	NOUN
ap-1177	62	9	we	we	PRON
ap-1177	62	10	have	have	AUX
ap-1177	62	11	introduced	introduce	VERB
ap-1177	62	12	a	a	DET
ap-1177	62	13	theoretical	theoretical	ADJ
ap-1177	62	14	analysis	analysis	NOUN
ap-1177	62	15	of	of	ADP
ap-1177	62	16	the	the	DET
ap-1177	62	17	grinding	grind	VERB
ap-1177	62	18	process	process	NOUN
ap-1177	62	19	in	in	ADP
ap-1177	62	20	the	the	DET
ap-1177	62	21	device	device	NOUN
ap-1177	62	22	of	of	ADP
ap-1177	62	23	theoretical	theoretical	ADJ
ap-1177	62	24	extruding	extruding	NOUN
ap-1177	62	25	of	of	ADP
ap-1177	62	26	continuous	continuous	ADJ
ap-1177	62	27	action	action	NOUN
ap-1177	62	28	.	.	PUNCT
ap-1177	63	1	the	the	DET
ap-1177	63	2	equation	equation	NOUN
ap-1177	63	3	describing	describe	VERB
ap-1177	63	4	the	the	DET
ap-1177	63	5	continuous	continuous	ADJ
ap-1177	63	6	process	process	NOUN
ap-1177	63	7	of	of	ADP
ap-1177	63	8	grinding	grind	VERB
ap-1177	63	9	in	in	ADP
ap-1177	63	10	a	a	DET
ap-1177	63	11	shock	shock	NOUN
ap-1177	63	12	-	-	PUNCT
ap-1177	63	13	centrifugal	centrifugal	NOUN
ap-1177	63	14	milling	milling	NOUN
ap-1177	63	15	device	device	NOUN
ap-1177	63	16	of	of	ADP
ap-1177	63	17	theoretical	theoretical	ADJ
ap-1177	63	18	displacement	displacement	NOUN
ap-1177	63	19	[	[	X
ap-1177	63	20	5	5	NUM
ap-1177	63	21	]	]	PUNCT
ap-1177	63	22	in	in	ADP
ap-1177	63	23	terms	term	NOUN
ap-1177	63	24	of	of	ADP
ap-1177	63	25	markov	markov	NOUN
ap-1177	63	26	processes	process	NOUN
ap-1177	63	27	is	be	AUX
ap-1177	63	28	:	:	PUNCT
ap-1177	63	29	∂π(t	∂π(t	PROPN
ap-1177	63	30	,	,	PUNCT
ap-1177	63	31	x	x	NOUN
ap-1177	63	32	)	)	PUNCT
ap-1177	63	33	∂t	∂t	PROPN
ap-1177	63	34	=	=	SYM
ap-1177	63	35	π(t	π(t	PROPN
ap-1177	63	36	,	,	PUNCT
ap-1177	63	37	x)a	x)a	PUNCT
ap-1177	64	1	−	−	PROPN
ap-1177	64	2	v	v	NUM
ap-1177	64	3	∂π(t	∂π(t	PROPN
ap-1177	64	4	,	,	PUNCT
ap-1177	64	5	x	x	NOUN
ap-1177	64	6	)	)	PUNCT
ap-1177	64	7	∂x	∂x	PROPN
ap-1177	64	8	.	.	PUNCT
ap-1177	65	1	(	(	PUNCT
ap-1177	65	2	6	6	NUM
ap-1177	65	3	)	)	PUNCT
ap-1177	65	4	here	here	ADV
ap-1177	65	5	π(t	π(t	PROPN
ap-1177	65	6	,	,	PUNCT
ap-1177	65	7	x	x	NOUN
ap-1177	65	8	)	)	PUNCT
ap-1177	65	9	–	–	PUNCT
ap-1177	65	10	particle	particle	NOUN
ap-1177	65	11	size	size	NOUN
ap-1177	65	12	distribution	distribution	NOUN
ap-1177	65	13	at	at	ADP
ap-1177	65	14	the	the	DET
ap-1177	65	15	moment	moment	NOUN
ap-1177	65	16	t	t	NOUN
ap-1177	65	17	at	at	ADP
ap-1177	65	18	passage	passage	NOUN
ap-1177	65	19	of	of	ADP
ap-1177	65	20	length	length	NOUN
ap-1177	65	21	distance	distance	NOUN
ap-1177	65	22	x	x	PUNCT
ap-1177	65	23	in	in	ADP
ap-1177	65	24	a	a	DET
ap-1177	65	25	theoretical	theoretical	ADJ
ap-1177	65	26	extrusion	extrusion	NOUN
ap-1177	65	27	device	device	NOUN
ap-1177	65	28	(	(	PUNCT
ap-1177	65	29	the	the	DET
ap-1177	65	30	vector	vector	NOUN
ap-1177	65	31	of	of	ADP
ap-1177	65	32	state	state	NOUN
ap-1177	65	33	probabilities	probability	NOUN
ap-1177	65	34	)	)	PUNCT
ap-1177	65	35	;	;	PUNCT
ap-1177	65	36	v	v	X
ap-1177	65	37	–	–	PUNCT
ap-1177	65	38	linear	linear	ADJ
ap-1177	65	39	speed	speed	NOUN
ap-1177	65	40	of	of	ADP
ap-1177	65	41	a	a	DET
ap-1177	65	42	stream	stream	NOUN
ap-1177	65	43	.	.	PUNCT
ap-1177	66	1	applying	apply	VERB
ap-1177	66	2	laplace	laplace	NOUN
ap-1177	66	3	transformations	transformation	NOUN
ap-1177	66	4	to	to	ADP
ap-1177	66	5	equation	equation	NOUN
ap-1177	66	6	(	(	PUNCT
ap-1177	66	7	6	6	NUM
ap-1177	66	8	)	)	PUNCT
ap-1177	66	9	twice	twice	DET
ap-1177	66	10	[	[	X
ap-1177	66	11	7	7	NUM
ap-1177	66	12	]	]	PUNCT
ap-1177	66	13	,	,	PUNCT
ap-1177	66	14	we	we	PRON
ap-1177	66	15	receive	receive	VERB
ap-1177	66	16	an	an	DET
ap-1177	66	17	expression	expression	NOUN
ap-1177	66	18	for	for	ADP
ap-1177	66	19	the	the	DET
ap-1177	66	20	image	image	NOUN
ap-1177	66	21	of	of	ADP
ap-1177	66	22	the	the	DET
ap-1177	66	23	vector	vector	NOUN
ap-1177	66	24	of	of	ADP
ap-1177	66	25	probabilities	probability	NOUN
ap-1177	66	26	of	of	ADP
ap-1177	66	27	states	state	NOUN
ap-1177	66	28	π(s	π(s	PROPN
ap-1177	66	29	,	,	PUNCT
ap-1177	66	30	p	p	X
ap-1177	66	31	)	)	PUNCT
ap-1177	66	32	=	=	SYM
ap-1177	66	33	(	(	PUNCT
ap-1177	66	34	π(0	π(0	PROPN
ap-1177	66	35	,	,	PUNCT
ap-1177	66	36	p	p	NOUN
ap-1177	66	37	)	)	PUNCT
ap-1177	66	38	+	+	CCONJ
ap-1177	66	39	v	v	NUM
ap-1177	66	40	π0	π0	NOUN
ap-1177	66	41	s	s	PART
ap-1177	66	42	)	)	PUNCT
ap-1177	66	43	(	(	PUNCT
ap-1177	66	44	se	se	INTJ
ap-1177	66	45	−	−	PROPN
ap-1177	66	46	a	a	DET
ap-1177	66	47	+	+	X
ap-1177	66	48	vpe)−1	vpe)−1	NOUN
ap-1177	66	49	.	.	PUNCT
ap-1177	67	1	(	(	PUNCT
ap-1177	67	2	7	7	X
ap-1177	67	3	)	)	PUNCT
ap-1177	67	4	here	here	ADV
ap-1177	67	5	l[t	l[t	ADV
ap-1177	67	6	]	]	X
ap-1177	68	1	=	=	SYM
ap-1177	68	2	s	s	X
ap-1177	68	3	;	;	PUNCT
ap-1177	68	4	l[x	l[x	PROPN
ap-1177	68	5	]	]	X
ap-1177	68	6	=	=	SYM
ap-1177	68	7	p	p	X
ap-1177	68	8	;	;	PUNCT
ap-1177	68	9	l	l	X
ap-1177	69	1	[	[	X
ap-1177	69	2	π(t	π(t	PROPN
ap-1177	69	3	,	,	PUNCT
ap-1177	69	4	x	x	NOUN
ap-1177	69	5	)	)	PUNCT
ap-1177	69	6	]	]	PUNCT
ap-1177	69	7	=	=	SYM
ap-1177	69	8	π(t	π(t	PROPN
ap-1177	69	9	,	,	PUNCT
ap-1177	69	10	p	p	NOUN
ap-1177	69	11	)	)	PUNCT
ap-1177	69	12	;	;	PUNCT
ap-1177	69	13	l	l	X
ap-1177	70	1	[	[	X
ap-1177	70	2	π(t	π(t	PROPN
ap-1177	70	3	,	,	PUNCT
ap-1177	70	4	p	p	NOUN
ap-1177	70	5	)	)	PUNCT
ap-1177	70	6	]	]	PUNCT
ap-1177	71	1	=	=	SYM
ap-1177	72	1	π(s	π(s	PROPN
ap-1177	72	2	,	,	PUNCT
ap-1177	72	3	p	p	NOUN
ap-1177	72	4	)	)	PUNCT
ap-1177	72	5	;	;	PUNCT
ap-1177	72	6	l	l	X
ap-1177	73	1	[	[	X
ap-1177	73	2	π(0	π(0	PROPN
ap-1177	73	3	,	,	PUNCT
ap-1177	73	4	x	x	NOUN
ap-1177	73	5	)	)	PUNCT
ap-1177	73	6	]	]	PUNCT
ap-1177	73	7	=	=	PUNCT
ap-1177	73	8	π(0	π(0	PROPN
ap-1177	73	9	,	,	PUNCT
ap-1177	73	10	p	p	NOUN
ap-1177	73	11	)	)	PUNCT
ap-1177	73	12	,	,	PUNCT
ap-1177	73	13	where	where	SCONJ
ap-1177	73	14	π(0	π(0	NOUN
ap-1177	73	15	,	,	PUNCT
ap-1177	73	16	x	x	NOUN
ap-1177	73	17	)	)	PUNCT
ap-1177	73	18	–	–	PUNCT
ap-1177	73	19	vector	vector	NOUN
ap-1177	73	20	of	of	ADP
ap-1177	73	21	probabilities	probability	NOUN
ap-1177	73	22	of	of	ADP
ap-1177	73	23	states	state	NOUN
ap-1177	73	24	in	in	ADP
ap-1177	73	25	the	the	DET
ap-1177	73	26	initial	initial	ADJ
ap-1177	73	27	moment	moment	NOUN
ap-1177	73	28	of	of	ADP
ap-1177	73	29	time	time	NOUN
ap-1177	73	30	in	in	ADP
ap-1177	73	31	the	the	DET
ap-1177	73	32	section	section	NOUN
ap-1177	73	33	specified	specify	VERB
ap-1177	73	34	by	by	ADP
ap-1177	73	35	distance	distance	NOUN
ap-1177	73	36	x	x	NOUN
ap-1177	73	37	:	:	PUNCT
ap-1177	73	38	π(0	π(0	VERB
ap-1177	73	39	,	,	PUNCT
ap-1177	73	40	x	x	NOUN
ap-1177	73	41	)	)	PUNCT
ap-1177	73	42	=	=	SYM
ap-1177	73	43	{	{	PUNCT
ap-1177	73	44	π0	π0	NOUN
ap-1177	73	45	,	,	PUNCT
ap-1177	73	46	x	x	PUNCT
ap-1177	73	47	=	=	SYM
ap-1177	73	48	0	0	NUM
ap-1177	73	49	,	,	PUNCT
ap-1177	73	50	0	0	NUM
ap-1177	73	51	,	,	PUNCT
ap-1177	73	52	x	x	SYM
ap-1177	73	53	�	�	PROPN
ap-1177	73	54	=	=	SYM
ap-1177	73	55	0	0	PROPN
ap-1177	73	56	.	.	PUNCT
ap-1177	74	1	(	(	PUNCT
ap-1177	74	2	8)	8)	NUM
ap-1177	74	3	here	here	ADV
ap-1177	74	4	π0	π0	NOUN
ap-1177	74	5	–	–	PUNCT
ap-1177	74	6	density	density	NOUN
ap-1177	74	7	of	of	ADP
ap-1177	74	8	distribution	distribution	NOUN
ap-1177	74	9	of	of	ADP
ap-1177	74	10	probabilities	probability	NOUN
ap-1177	74	11	of	of	ADP
ap-1177	74	12	states	state	NOUN
ap-1177	74	13	at	at	ADP
ap-1177	74	14	the	the	DET
ap-1177	74	15	initial	initial	ADJ
ap-1177	74	16	moment	moment	NOUN
ap-1177	74	17	,	,	PUNCT
ap-1177	74	18	or	or	CCONJ
ap-1177	74	19	otherwise	otherwise	ADV
ap-1177	74	20	,	,	PUNCT
ap-1177	74	21	density	density	NOUN
ap-1177	74	22	of	of	ADP
ap-1177	74	23	the	the	DET
ap-1177	74	24	distribution	distribution	NOUN
ap-1177	74	25	of	of	ADP
ap-1177	74	26	the	the	DET
ap-1177	74	27	number	number	NOUN
ap-1177	74	28	of	of	ADP
ap-1177	74	29	particles	particle	NOUN
ap-1177	74	30	in	in	ADP
ap-1177	74	31	the	the	DET
ap-1177	74	32	sizes	size	NOUN
ap-1177	74	33	at	at	ADP
ap-1177	74	34	the	the	DET
ap-1177	74	35	moment	moment	NOUN
ap-1177	74	36	t	t	NOUN
ap-1177	74	37	=	=	SYM
ap-1177	74	38	0	0	NUM
ap-1177	74	39	on	on	ADP
ap-1177	74	40	an	an	DET
ap-1177	74	41	input	input	NOUN
ap-1177	74	42	into	into	ADP
ap-1177	74	43	the	the	DET
ap-1177	74	44	device	device	NOUN
ap-1177	74	45	.	.	PUNCT
ap-1177	75	1	according	accord	VERB
ap-1177	75	2	to	to	ADP
ap-1177	75	3	(	(	PUNCT
ap-1177	75	4	8)	8)	NUM
ap-1177	75	5	π(0	π(0	NOUN
ap-1177	75	6	,	,	PUNCT
ap-1177	75	7	p	p	NOUN
ap-1177	75	8	)	)	PUNCT
ap-1177	75	9	=	=	SYM
ap-1177	75	10	⎧⎨⎩	⎧⎨⎩	NUM
ap-1177	75	11	π0	π0	NOUN
ap-1177	75	12	p	p	NOUN
ap-1177	75	13	,	,	PUNCT
ap-1177	75	14	x	x	PUNCT
ap-1177	75	15	=	=	SYM
ap-1177	75	16	0	0	NUM
ap-1177	75	17	,	,	PUNCT
ap-1177	75	18	0	0	NUM
ap-1177	75	19	,	,	PUNCT
ap-1177	75	20	x	x	SYM
ap-1177	75	21	�	�	PROPN
ap-1177	75	22	=	=	SYM
ap-1177	75	23	0	0	PROPN
ap-1177	75	24	.	.	PUNCT
ap-1177	76	1	therefore	therefore	ADV
ap-1177	76	2	the	the	DET
ap-1177	76	3	image	image	NOUN
ap-1177	76	4	of	of	ADP
ap-1177	76	5	the	the	DET
ap-1177	76	6	solution	solution	NOUN
ap-1177	76	7	of	of	ADP
ap-1177	76	8	equation	equation	NOUN
ap-1177	76	9	(	(	PUNCT
ap-1177	76	10	6	6	NUM
ap-1177	76	11	)	)	PUNCT
ap-1177	76	12	is	be	AUX
ap-1177	76	13	:	:	PUNCT
ap-1177	76	14	if	if	SCONJ
ap-1177	76	15	x	x	PROPN
ap-1177	76	16	�	�	PROPN
ap-1177	76	17	=	=	SYM
ap-1177	76	18	0	0	NUM
ap-1177	76	19	,	,	PUNCT
ap-1177	76	20	then	then	ADV
ap-1177	76	21	π(s	π(s	ADJ
ap-1177	76	22	,	,	PUNCT
ap-1177	76	23	p	p	NOUN
ap-1177	76	24	)	)	PUNCT
ap-1177	76	25	=	=	SYM
ap-1177	77	1	v	v	NUM
ap-1177	77	2	π0	π0	NOUN
ap-1177	77	3	s	s	PART
ap-1177	77	4	(	(	PUNCT
ap-1177	77	5	se	se	INTJ
ap-1177	77	6	−	−	PROPN
ap-1177	77	7	a	a	DET
ap-1177	77	8	+	+	X
ap-1177	77	9	vpe)−1	vpe)−1	NOUN
ap-1177	77	10	;	;	PUNCT
ap-1177	77	11	(	(	PUNCT
ap-1177	77	12	9	9	X
ap-1177	77	13	)	)	PUNCT
ap-1177	77	14	if	if	SCONJ
ap-1177	77	15	x	x	PROPN
ap-1177	77	16	=	=	SYM
ap-1177	77	17	0	0	NUM
ap-1177	77	18	,	,	PUNCT
ap-1177	77	19	then	then	ADV
ap-1177	77	20	π(s	π(s	ADJ
ap-1177	77	21	,	,	PUNCT
ap-1177	77	22	p	p	X
ap-1177	77	23	)	)	PUNCT
ap-1177	77	24	=	=	SYM
ap-1177	77	25	(	(	PUNCT
ap-1177	77	26	π0	π0	NOUN
ap-1177	77	27	p	p	NOUN
ap-1177	77	28	+	+	X
ap-1177	77	29	v	v	NUM
ap-1177	77	30	π0	π0	NOUN
ap-1177	77	31	s	s	PART
ap-1177	77	32	)	)	PUNCT
ap-1177	77	33	(	(	PUNCT
ap-1177	77	34	se	se	INTJ
ap-1177	77	35	−	−	PROPN
ap-1177	77	36	a	a	DET
ap-1177	77	37	+	+	X
ap-1177	77	38	vpe)−1	vpe)−1	NOUN
ap-1177	77	39	.	.	PUNCT
ap-1177	78	1	we	we	PRON
ap-1177	78	2	are	be	AUX
ap-1177	78	3	interested	interested	ADJ
ap-1177	78	4	in	in	ADP
ap-1177	78	5	the	the	DET
ap-1177	78	6	case	case	NOUN
ap-1177	78	7	when	when	SCONJ
ap-1177	78	8	x	x	X
ap-1177	78	9	�	�	PROPN
ap-1177	78	10	=	=	SYM
ap-1177	78	11	0	0	NUM
ap-1177	78	12	,	,	PUNCT
ap-1177	78	13	since	since	SCONJ
ap-1177	78	14	the	the	DET
ap-1177	78	15	density	density	NOUN
ap-1177	78	16	of	of	ADP
ap-1177	78	17	a	a	DET
ap-1177	78	18	probability	probability	NOUN
ap-1177	78	19	distribution	distribution	NOUN
ap-1177	78	20	at	at	ADP
ap-1177	78	21	the	the	DET
ap-1177	78	22	entrance	entrance	NOUN
ap-1177	78	23	of	of	ADP
ap-1177	78	24	the	the	DET
ap-1177	78	25	grinding	grind	VERB
ap-1177	78	26	device	device	NOUN
ap-1177	78	27	(	(	PUNCT
ap-1177	78	28	x	x	SYM
ap-1177	78	29	=	=	SYM
ap-1177	78	30	0	0	NUM
ap-1177	78	31	)	)	PUNCT
ap-1177	78	32	is	be	AUX
ap-1177	78	33	known	know	VERB
ap-1177	78	34	at	at	ADP
ap-1177	78	35	any	any	DET
ap-1177	78	36	instant	instant	NOUN
ap-1177	78	37	;	;	PUNCT
ap-1177	78	38	it	it	PRON
ap-1177	78	39	equals	equal	VERB
ap-1177	78	40	π0	π0	NOUN
ap-1177	78	41	.	.	PUNCT
ap-1177	79	1	so	so	ADV
ap-1177	79	2	,	,	PUNCT
ap-1177	79	3	having	having	AUX
ap-1177	79	4	applied	apply	VERB
ap-1177	79	5	the	the	DET
ap-1177	79	6	inverse	inverse	NOUN
ap-1177	79	7	laplace	laplace	NOUN
ap-1177	79	8	transform	transform	NOUN
ap-1177	79	9	to	to	ADP
ap-1177	79	10	expression	expression	NOUN
ap-1177	79	11	(	(	PUNCT
ap-1177	79	12	9	9	NUM
ap-1177	79	13	)	)	PUNCT
ap-1177	79	14	to	to	ADP
ap-1177	79	15	a	a	DET
ap-1177	79	16	variable	variable	NOUN
ap-1177	79	17	s	s	NOUN
ap-1177	79	18	,	,	PUNCT
ap-1177	79	19	and	and	CCONJ
ap-1177	79	20	then	then	ADV
ap-1177	79	21	to	to	ADP
ap-1177	79	22	a	a	DET
ap-1177	79	23	variable	variable	ADJ
ap-1177	79	24	p	p	NOUN
ap-1177	79	25	,	,	PUNCT
ap-1177	79	26	we	we	PRON
ap-1177	79	27	receive	receive	VERB
ap-1177	79	28	the	the	DET
ap-1177	79	29	density	density	NOUN
ap-1177	79	30	of	of	ADP
ap-1177	79	31	distribution	distribution	NOUN
ap-1177	79	32	of	of	ADP
ap-1177	79	33	the	the	DET
ap-1177	79	34	probabilities	probability	NOUN
ap-1177	79	35	of	of	ADP
ap-1177	79	36	states	state	NOUN
ap-1177	79	37	at	at	ADP
ap-1177	79	38	any	any	DET
ap-1177	79	39	point	point	NOUN
ap-1177	79	40	of	of	ADP
ap-1177	79	41	distance	distance	NOUN
ap-1177	79	42	x	x	PUNCT
ap-1177	79	43	at	at	ADP
ap-1177	79	44	any	any	DET
ap-1177	79	45	moment	moment	NOUN
ap-1177	79	46	t.	t.	NOUN
ap-1177	79	47	in	in	ADP
ap-1177	79	48	other	other	ADJ
ap-1177	79	49	words	word	NOUN
ap-1177	79	50	we	we	PRON
ap-1177	79	51	receive	receive	VERB
ap-1177	79	52	the	the	DET
ap-1177	79	53	particle	particle	NOUN
ap-1177	79	54	size	size	NOUN
ap-1177	79	55	distribution	distribution	NOUN
ap-1177	79	56	in	in	ADP
ap-1177	79	57	any	any	DET
ap-1177	79	58	section	section	NOUN
ap-1177	79	59	x	x	PUNCT
ap-1177	79	60	at	at	ADP
ap-1177	79	61	any	any	DET
ap-1177	79	62	moment	moment	NOUN
ap-1177	79	63	t.	t.	NOUN
ap-1177	79	64	note	note	VERB
ap-1177	79	65	that	that	SCONJ
ap-1177	79	66	under	under	ADP
ap-1177	79	67	steady	steady	ADJ
ap-1177	79	68	conditions	condition	NOUN
ap-1177	79	69	t	t	NOUN
ap-1177	79	70	→	→	SYM
ap-1177	79	71	∞	∞	PROPN
ap-1177	79	72	and	and	CCONJ
ap-1177	79	73	the	the	DET
ap-1177	79	74	limiting	limit	VERB
ap-1177	79	75	vector	vector	NOUN
ap-1177	79	76	of	of	ADP
ap-1177	79	77	density	density	NOUN
ap-1177	79	78	of	of	ADP
ap-1177	79	79	the	the	DET
ap-1177	79	80	probability	probability	NOUN
ap-1177	79	81	distribution	distribution	NOUN
ap-1177	79	82	π∞	π∞	PROPN
ap-1177	79	83	has	have	VERB
ap-1177	79	84	components	component	NOUN
ap-1177	79	85	dependent	dependent	ADJ
ap-1177	79	86	on	on	ADP
ap-1177	79	87	the	the	DET
ap-1177	79	88	value	value	NOUN
ap-1177	79	89	x	x	X
ap-1177	79	90	v	v	NOUN
ap-1177	79	91	and	and	CCONJ
ap-1177	79	92	also	also	ADV
ap-1177	79	93	on	on	ADP
ap-1177	79	94	the	the	DET
ap-1177	79	95	initial	initial	ADJ
ap-1177	79	96	density	density	NOUN
ap-1177	79	97	of	of	ADP
ap-1177	79	98	the	the	DET
ap-1177	79	99	probability	probability	NOUN
ap-1177	79	100	distribution	distribution	NOUN
ap-1177	79	101	π0	π0	NOUN
ap-1177	79	102	.	.	PUNCT
ap-1177	80	1	setting	set	VERB
ap-1177	80	2	the	the	DET
ap-1177	80	3	stationary	stationary	ADJ
ap-1177	80	4	particle	particle	NOUN
ap-1177	80	5	size	size	NOUN
ap-1177	80	6	distribution	distribution	NOUN
ap-1177	80	7	π∞	π∞	PROPN
ap-1177	80	8	on	on	ADP
ap-1177	80	9	an	an	DET
ap-1177	80	10	output	output	NOUN
ap-1177	80	11	of	of	ADP
ap-1177	80	12	the	the	DET
ap-1177	80	13	device	device	NOUN
ap-1177	80	14	and	and	CCONJ
ap-1177	80	15	having	have	VERB
ap-1177	80	16	the	the	DET
ap-1177	80	17	average	average	ADJ
ap-1177	80	18	speed	speed	NOUN
ap-1177	80	19	of	of	ADP
ap-1177	80	20	the	the	DET
ap-1177	80	21	stream	stream	NOUN
ap-1177	80	22	,	,	PUNCT
ap-1177	80	23	we	we	PRON
ap-1177	80	24	can	can	AUX
ap-1177	80	25	define	define	VERB
ap-1177	80	26	,	,	PUNCT
ap-1177	80	27	for	for	ADP
ap-1177	80	28	example	example	NOUN
ap-1177	80	29	,	,	PUNCT
ap-1177	80	30	the	the	DET
ap-1177	80	31	necessary	necessary	ADJ
ap-1177	80	32	length	length	NOUN
ap-1177	80	33	of	of	ADP
ap-1177	80	34	the	the	DET
ap-1177	80	35	device	device	NOUN
ap-1177	80	36	.	.	PUNCT
ap-1177	81	1	using	use	VERB
ap-1177	81	2	the	the	DET
ap-1177	81	3	constructed	construct	VERB
ap-1177	81	4	model	model	NOUN
ap-1177	81	5	,	,	PUNCT
ap-1177	81	6	we	we	PRON
ap-1177	81	7	can	can	AUX
ap-1177	81	8	solve	solve	VERB
ap-1177	81	9	the	the	DET
ap-1177	81	10	inverse	inverse	NOUN
ap-1177	81	11	problem	problem	NOUN
ap-1177	81	12	,	,	PUNCT
ap-1177	81	13	i.e.	i.e.	X
ap-1177	81	14	we	we	PRON
ap-1177	81	15	can	can	AUX
ap-1177	81	16	find	find	VERB
ap-1177	81	17	the	the	DET
ap-1177	81	18	elements	element	NOUN
ap-1177	81	19	of	of	ADP
ap-1177	81	20	matrix	matrix	NOUN
ap-1177	81	21	a	a	PRON
ap-1177	81	22	of	of	ADP
ap-1177	81	23	the	the	DET
ap-1177	81	24	transition	transition	NOUN
ap-1177	81	25	intensities	intensity	NOUN
ap-1177	81	26	.	.	PUNCT
ap-1177	82	1	equation	equation	NOUN
ap-1177	82	2	(	(	PUNCT
ap-1177	82	3	6	6	NUM
ap-1177	82	4	)	)	PUNCT
ap-1177	82	5	for	for	ADP
ap-1177	82	6	vector	vector	NOUN
ap-1177	82	7	π∞	π∞	NOUN
ap-1177	82	8	of	of	ADP
ap-1177	82	9	the	the	DET
ap-1177	82	10	limiting	limit	VERB
ap-1177	82	11	probabilities	probability	NOUN
ap-1177	82	12	of	of	ADP
ap-1177	82	13	states	state	NOUN
ap-1177	82	14	becomes	become	VERB
ap-1177	82	15	dπ∞(x	dπ∞(x	NOUN
ap-1177	82	16	)	)	PUNCT
ap-1177	82	17	dx	dx	PROPN
ap-1177	82	18	=	=	SYM
ap-1177	82	19	π∞(x	π∞(x	PROPN
ap-1177	82	20	)	)	PUNCT
ap-1177	82	21	a	a	DET
ap-1177	82	22	v	v	NOUN
ap-1177	82	23	,	,	PUNCT
ap-1177	82	24	(	(	PUNCT
ap-1177	82	25	0	0	NUM
ap-1177	82	26	≤	≤	NUM
ap-1177	82	27	x	x	SYM
ap-1177	82	28	≤	≤	NUM
ap-1177	82	29	l	l	NOUN
ap-1177	82	30	)	)	PUNCT
ap-1177	82	31	,	,	PUNCT
ap-1177	82	32	(	(	PUNCT
ap-1177	82	33	10	10	NUM
ap-1177	82	34	)	)	PUNCT
ap-1177	82	35	where	where	SCONJ
ap-1177	82	36	l	l	NOUN
ap-1177	82	37	is	be	AUX
ap-1177	82	38	the	the	DET
ap-1177	82	39	total	total	ADJ
ap-1177	82	40	length	length	NOUN
ap-1177	82	41	of	of	ADP
ap-1177	82	42	the	the	DET
ap-1177	82	43	grinder	grinder	NOUN
ap-1177	82	44	.	.	PUNCT
ap-1177	83	1	the	the	DET
ap-1177	83	2	boundary	boundary	ADJ
ap-1177	83	3	condition	condition	NOUN
ap-1177	83	4	is	be	AUX
ap-1177	83	5	π∞(0	π∞(0	ADJ
ap-1177	83	6	)	)	PUNCT
ap-1177	83	7	=	=	SYM
ap-1177	83	8	π0	π0	NOUN
ap-1177	83	9	.	.	PUNCT
ap-1177	84	1	(	(	PUNCT
ap-1177	84	2	11	11	X
ap-1177	84	3	)	)	PUNCT
ap-1177	84	4	solving	solve	VERB
ap-1177	84	5	equation	equation	NOUN
ap-1177	84	6	(	(	PUNCT
ap-1177	84	7	10	10	NUM
ap-1177	84	8	)	)	PUNCT
ap-1177	84	9	in	in	ADP
ap-1177	84	10	view	view	NOUN
ap-1177	84	11	of	of	ADP
ap-1177	84	12	boundary	boundary	ADJ
ap-1177	84	13	condition	condition	NOUN
ap-1177	84	14	(	(	PUNCT
ap-1177	84	15	11	11	NUM
ap-1177	84	16	)	)	PUNCT
ap-1177	84	17	,	,	PUNCT
ap-1177	84	18	we	we	PRON
ap-1177	84	19	receive	receive	VERB
ap-1177	84	20	the	the	DET
ap-1177	84	21	density	density	NOUN
ap-1177	84	22	of	of	ADP
ap-1177	84	23	the	the	DET
ap-1177	84	24	limiting	limit	VERB
ap-1177	84	25	probabilities	probability	NOUN
ap-1177	84	26	π∞(x	π∞(x	NOUN
ap-1177	84	27	)	)	PUNCT
ap-1177	84	28	=	=	SYM
ap-1177	84	29	π0	π0	NOUN
ap-1177	84	30	exp	exp	NOUN
ap-1177	84	31	(	(	PUNCT
ap-1177	84	32	a	a	DET
ap-1177	84	33	x	x	SYM
ap-1177	84	34	v	v	NOUN
ap-1177	84	35	)	)	PUNCT
ap-1177	84	36	,	,	PUNCT
ap-1177	84	37	(	(	PUNCT
ap-1177	84	38	0	0	NUM
ap-1177	84	39	≤	≤	NUM
ap-1177	84	40	x	x	SYM
ap-1177	84	41	≤	≤	NUM
ap-1177	84	42	l	l	NOUN
ap-1177	84	43	)	)	PUNCT
ap-1177	84	44	.	.	PUNCT
ap-1177	85	1	substituting	substitute	VERB
ap-1177	85	2	for	for	ADP
ap-1177	85	3	x	x	SYM
ap-1177	85	4	=	=	SYM
ap-1177	85	5	l	l	NOUN
ap-1177	85	6	,	,	PUNCT
ap-1177	85	7	the	the	DET
ap-1177	85	8	elements	element	NOUN
ap-1177	85	9	of	of	ADP
ap-1177	85	10	matrix	matrix	NOUN
ap-1177	85	11	a	a	PRON
ap-1177	85	12	can	can	AUX
ap-1177	85	13	be	be	AUX
ap-1177	85	14	determined	determine	VERB
ap-1177	85	15	by	by	ADP
ap-1177	85	16	solving	solve	VERB
ap-1177	85	17	the	the	DET
ap-1177	85	18	system	system	NOUN
ap-1177	85	19	of	of	ADP
ap-1177	85	20	the	the	DET
ap-1177	85	21	equations	equation	NOUN
ap-1177	85	22	constructed	construct	VERB
ap-1177	85	23	according	accord	VERB
ap-1177	85	24	to	to	ADP
ap-1177	85	25	the	the	DET
ap-1177	85	26	condition	condition	NOUN
ap-1177	85	27	π∞(l	π∞(l	NOUN
ap-1177	85	28	)	)	PUNCT
ap-1177	85	29	=	=	SYM
ap-1177	85	30	π0	π0	NOUN
ap-1177	85	31	exp	exp	NOUN
ap-1177	85	32	(	(	PUNCT
ap-1177	85	33	a	a	DET
ap-1177	85	34	l	l	NOUN
ap-1177	85	35	v	v	NOUN
ap-1177	85	36	)	)	PUNCT
ap-1177	85	37	(	(	PUNCT
ap-1177	85	38	12	12	NUM
ap-1177	85	39	)	)	PUNCT
ap-1177	85	40	and	and	CCONJ
ap-1177	85	41	the	the	DET
ap-1177	85	42	condition	condition	NOUN
ap-1177	85	43	of	of	ADP
ap-1177	85	44	equality	equality	NOUN
ap-1177	85	45	to	to	ADP
ap-1177	85	46	zero	zero	NUM
ap-1177	85	47	of	of	ADP
ap-1177	85	48	the	the	DET
ap-1177	85	49	sum	sum	NOUN
ap-1177	85	50	of	of	ADP
ap-1177	85	51	elements	element	NOUN
ap-1177	85	52	in	in	ADP
ap-1177	85	53	the	the	DET
ap-1177	85	54	matrix	matrix	NOUN
ap-1177	85	55	lines	line	NOUN
ap-1177	85	56	.	.	PUNCT
ap-1177	86	1	matrix	matrix	VERB
ap-1177	86	2	a	a	PRON
ap-1177	86	3	has	have	AUX
ap-1177	86	4	following	follow	VERB
ap-1177	86	5	appearance	appearance	NOUN
ap-1177	86	6	a	a	DET
ap-1177	86	7	=	=	SYM
ap-1177	86	8	⎛⎜⎜⎜⎜⎝	⎛⎜⎜⎜⎜⎝	NOUN
ap-1177	86	9	0	0	NUM
ap-1177	86	10	0	0	NUM
ap-1177	86	11	.	.	PUNCT
ap-1177	86	12	.	.	PUNCT
ap-1177	87	1	.	.	PUNCT
ap-1177	88	1	0	0	NUM
ap-1177	88	2	a21	a21	PROPN
ap-1177	88	3	a22	a22	PROPN
ap-1177	88	4	.	.	PUNCT
ap-1177	88	5	.	.	PUNCT
ap-1177	89	1	.	.	PUNCT
ap-1177	89	2	0	0	PUNCT
ap-1177	89	3	.	.	PUNCT
ap-1177	89	4	.	.	PUNCT
ap-1177	89	5	.	.	PUNCT
ap-1177	90	1	an1	an1	PROPN
ap-1177	90	2	an2	an2	PROPN
ap-1177	90	3	.	.	PUNCT
ap-1177	90	4	.	.	PUNCT
ap-1177	90	5	.	.	PUNCT
ap-1177	91	1	ann	ann	PROPN
ap-1177	91	2	⎞⎟⎟⎟⎟⎠	⎞⎟⎟⎟⎟⎠	PROPN
ap-1177	91	3	,	,	PUNCT
ap-1177	91	4	72	72	NUM
ap-1177	91	5	acta	acta	PROPN
ap-1177	91	6	polytechnica	polytechnica	PROPN
ap-1177	91	7	vol	vol	NOUN
ap-1177	91	8	.	.	PROPN
ap-1177	92	1	50	50	NUM
ap-1177	92	2	no	no	NOUN
ap-1177	92	3	.	.	PUNCT
ap-1177	93	1	2/2010	2/2010	NUM
ap-1177	93	2	where	where	SCONJ
ap-1177	93	3	aij	aij	PROPN
ap-1177	93	4	=	=	SYM
ap-1177	93	5	0	0	PROPN
ap-1177	93	6	,	,	PUNCT
ap-1177	93	7	if	if	SCONJ
ap-1177	93	8	i	i	PRON
ap-1177	93	9	<	<	X
ap-1177	93	10	j	j	PROPN
ap-1177	93	11	;	;	PUNCT
ap-1177	93	12	a11	a11	PROPN
ap-1177	93	13	=	=	SYM
ap-1177	93	14	0	0	PROPN
ap-1177	93	15	,	,	PUNCT
ap-1177	93	16	and	and	CCONJ
ap-1177	93	17	a21	a21	NOUN
ap-1177	93	18	+	+	CCONJ
ap-1177	93	19	a22	a22	PROPN
ap-1177	93	20	=	=	SYM
ap-1177	93	21	0	0	NUM
ap-1177	93	22	;	;	PUNCT
ap-1177	93	23	.	.	PUNCT
ap-1177	93	24	.	.	PUNCT
ap-1177	93	25	.	.	PUNCT
ap-1177	94	1	(	(	PUNCT
ap-1177	94	2	13	13	NUM
ap-1177	94	3	)	)	PUNCT
ap-1177	94	4	an1	an1	NOUN
ap-1177	95	1	+	+	X
ap-1177	95	2	an2	an2	PROPN
ap-1177	95	3	+	+	X
ap-1177	95	4	.	.	PUNCT
ap-1177	95	5	.	.	PUNCT
ap-1177	95	6	.	.	PUNCT
ap-1177	96	1	+	+	CCONJ
ap-1177	96	2	ann	ann	PROPN
ap-1177	96	3	=	=	PUNCT
ap-1177	96	4	0	0	PROPN
ap-1177	96	5	.	.	PUNCT
ap-1177	97	1	thus	thus	ADV
ap-1177	97	2	,	,	PUNCT
ap-1177	97	3	having	having	AUX
ap-1177	97	4	received	receive	VERB
ap-1177	97	5	experimentally	experimentally	ADV
ap-1177	97	6	steady	steady	ADJ
ap-1177	97	7	state	state	NOUN
ap-1177	97	8	distribution	distribution	NOUN
ap-1177	97	9	of	of	ADP
ap-1177	97	10	particles	particle	NOUN
ap-1177	97	11	in	in	ADP
ap-1177	97	12	the	the	DET
ap-1177	97	13	sizes	size	NOUN
ap-1177	97	14	π∞	π∞	VERB
ap-1177	97	15	on	on	ADP
ap-1177	97	16	an	an	DET
ap-1177	97	17	output	output	NOUN
ap-1177	97	18	of	of	ADP
ap-1177	97	19	the	the	DET
ap-1177	97	20	device	device	NOUN
ap-1177	97	21	,	,	PUNCT
ap-1177	97	22	we	we	PRON
ap-1177	97	23	can	can	AUX
ap-1177	97	24	unequivocally	unequivocally	ADV
ap-1177	97	25	find	find	VERB
ap-1177	97	26	elements	element	NOUN
ap-1177	97	27	of	of	ADP
ap-1177	97	28	matrix	matrix	NOUN
ap-1177	97	29	a	a	PRON
ap-1177	97	30	and	and	CCONJ
ap-1177	97	31	also	also	ADV
ap-1177	97	32	elements	element	NOUN
ap-1177	97	33	of	of	ADP
ap-1177	97	34	a	a	DET
ap-1177	97	35	matrix	matrix	NOUN
ap-1177	97	36	of	of	ADP
ap-1177	97	37	transitions	transition	NOUN
ap-1177	97	38	p.	p.	NOUN
ap-1177	98	1	the	the	DET
ap-1177	98	2	common	common	ADJ
ap-1177	98	3	view	view	NOUN
ap-1177	98	4	of	of	ADP
ap-1177	98	5	matrix	matrix	NOUN
ap-1177	98	6	p	p	NOUN
ap-1177	98	7	:	:	PUNCT
ap-1177	98	8	p	p	X
ap-1177	98	9	=	=	PUNCT
ap-1177	98	10	⎛⎜⎜⎜⎜⎝	⎛⎜⎜⎜⎜⎝	NOUN
ap-1177	98	11	1	1	NUM
ap-1177	98	12	0	0	NUM
ap-1177	98	13	.	.	PUNCT
ap-1177	98	14	.	.	PUNCT
ap-1177	99	1	.	.	PUNCT
ap-1177	99	2	0	0	NUM
ap-1177	100	1	p21	p21	NOUN
ap-1177	100	2	p22	p22	NOUN
ap-1177	100	3	.	.	PUNCT
ap-1177	100	4	.	.	PUNCT
ap-1177	100	5	.	.	PUNCT
ap-1177	101	1	0	0	PUNCT
ap-1177	101	2	.	.	PUNCT
ap-1177	101	3	.	.	PUNCT
ap-1177	101	4	.	.	PUNCT
ap-1177	102	1	pn1	pn1	PROPN
ap-1177	102	2	pn2	pn2	PROPN
ap-1177	102	3	.	.	PUNCT
ap-1177	102	4	.	.	PUNCT
ap-1177	102	5	.	.	PUNCT
ap-1177	103	1	pnn	pnn	PROPN
ap-1177	103	2	⎞⎟⎟⎟⎟⎠	⎞⎟⎟⎟⎟⎠	PROPN
ap-1177	103	3	.	.	PUNCT
ap-1177	104	1	considering	consider	VERB
ap-1177	104	2	that	that	SCONJ
ap-1177	104	3	the	the	DET
ap-1177	104	4	elements	element	NOUN
ap-1177	104	5	of	of	ADP
ap-1177	104	6	matrix	matrix	NOUN
ap-1177	104	7	p	p	NOUN
ap-1177	104	8	are	be	AUX
ap-1177	104	9	formed	form	VERB
ap-1177	104	10	as	as	SCONJ
ap-1177	104	11	follows	follow	VERB
ap-1177	104	12	pij	pij	NOUN
ap-1177	104	13	=	=	NOUN
ap-1177	104	14	piϕij	piϕij	NOUN
ap-1177	104	15	,	,	PUNCT
ap-1177	104	16	we	we	PRON
ap-1177	104	17	can	can	AUX
ap-1177	104	18	find	find	VERB
ap-1177	104	19	probabilities	probability	NOUN
ap-1177	104	20	pi	pi	NOUN
ap-1177	104	21	of	of	ADP
ap-1177	104	22	destruction	destruction	NOUN
ap-1177	104	23	of	of	ADP
ap-1177	104	24	the	the	DET
ap-1177	104	25	particles	particle	NOUN
ap-1177	104	26	of	of	ADP
ap-1177	104	27	each	each	DET
ap-1177	104	28	fraction	fraction	NOUN
ap-1177	104	29	i	i	PRON
ap-1177	104	30	and	and	CCONJ
ap-1177	104	31	probabilities	probabilitie	VERB
ap-1177	104	32	ϕij	ϕij	NOUN
ap-1177	104	33	of	of	ADP
ap-1177	104	34	formation	formation	NOUN
ap-1177	104	35	of	of	ADP
ap-1177	104	36	particles	particle	NOUN
ap-1177	104	37	of	of	ADP
ap-1177	104	38	the	the	DET
ap-1177	104	39	j	j	PROPN
ap-1177	104	40	-	-	PUNCT
ap-1177	104	41	th	th	VERB
ap-1177	104	42	fraction	fraction	NOUN
ap-1177	104	43	at	at	ADP
ap-1177	104	44	destruction	destruction	NOUN
ap-1177	104	45	of	of	ADP
ap-1177	104	46	larger	large	ADJ
ap-1177	104	47	particles	particle	NOUN
ap-1177	104	48	of	of	ADP
ap-1177	104	49	the	the	DET
ap-1177	104	50	i	i	PROPN
ap-1177	104	51	-	-	PUNCT
ap-1177	104	52	th	th	VERB
ap-1177	104	53	fraction	fraction	NOUN
ap-1177	104	54	(	(	PUNCT
ap-1177	104	55	i	i	NOUN
ap-1177	104	56	=	=	NOUN
ap-1177	104	57	2	2	NUM
ap-1177	104	58	,	,	PUNCT
ap-1177	104	59	n	n	CCONJ
ap-1177	104	60	)	)	PUNCT
ap-1177	104	61	.	.	PUNCT
ap-1177	105	1	similarly	similarly	ADV
ap-1177	105	2	,	,	PUNCT
ap-1177	105	3	a	a	DET
ap-1177	105	4	model	model	NOUN
ap-1177	105	5	can	can	AUX
ap-1177	105	6	be	be	AUX
ap-1177	105	7	constructed	construct	VERB
ap-1177	105	8	for	for	ADP
ap-1177	105	9	continuous	continuous	ADJ
ap-1177	105	10	milling	milling	NOUN
ap-1177	105	11	of	of	ADP
ap-1177	105	12	a	a	DET
ap-1177	105	13	dispersed	disperse	VERB
ap-1177	105	14	material	material	NOUN
ap-1177	105	15	in	in	ADP
ap-1177	105	16	the	the	DET
ap-1177	105	17	device	device	NOUN
ap-1177	105	18	of	of	ADP
ap-1177	105	19	theoretical	theoretical	ADJ
ap-1177	105	20	merging	merging	NOUN
ap-1177	105	21	,	,	PUNCT
ap-1177	105	22	modeling	model	VERB
ap-1177	105	23	it	it	PRON
ap-1177	105	24	by	by	ADP
ap-1177	105	25	a	a	DET
ap-1177	105	26	markov	markov	NOUN
ap-1177	105	27	process	process	NOUN
ap-1177	105	28	with	with	ADP
ap-1177	105	29	discrete	discrete	ADJ
ap-1177	105	30	states	state	NOUN
ap-1177	105	31	and	and	CCONJ
ap-1177	105	32	in	in	ADP
ap-1177	105	33	continuous	continuous	ADJ
ap-1177	105	34	time	time	NOUN
ap-1177	105	35	.	.	PUNCT
ap-1177	106	1	in	in	ADP
ap-1177	106	2	this	this	DET
ap-1177	106	3	case	case	NOUN
ap-1177	106	4	,	,	PUNCT
ap-1177	106	5	the	the	DET
ap-1177	106	6	equation	equation	NOUN
ap-1177	106	7	for	for	ADP
ap-1177	106	8	π(t	π(t	PROPN
ap-1177	106	9	)	)	PUNCT
ap-1177	106	10	is	be	AUX
ap-1177	106	11	[	[	X
ap-1177	106	12	6	6	NUM
ap-1177	106	13	]	]	PUNCT
ap-1177	106	14	:	:	PUNCT
ap-1177	106	15	dπ(t	dπ(t	X
ap-1177	106	16	)	)	PUNCT
ap-1177	106	17	dt	dt	NOUN
ap-1177	107	1	=	=	SYM
ap-1177	107	2	π(t)a	π(t)a	NOUN
ap-1177	107	3	+	+	CCONJ
ap-1177	107	4	q	q	PROPN
ap-1177	107	5	v	v	NOUN
ap-1177	107	6	(	(	PUNCT
ap-1177	107	7	π(0	π(0	PROPN
ap-1177	107	8	)	)	PUNCT
ap-1177	107	9	−	−	PROPN
ap-1177	107	10	π(t	π(t	PROPN
ap-1177	107	11	)	)	PUNCT
ap-1177	107	12	)	)	PUNCT
ap-1177	107	13	.	.	PUNCT
ap-1177	108	1	(	(	PUNCT
ap-1177	108	2	14	14	NUM
ap-1177	108	3	)	)	PUNCT
ap-1177	108	4	here	here	ADV
ap-1177	108	5	q	q	X
ap-1177	108	6	–	–	PUNCT
ap-1177	108	7	volumetric	volumetric	ADJ
ap-1177	108	8	flow	flow	NOUN
ap-1177	108	9	of	of	ADP
ap-1177	108	10	dispersed	disperse	VERB
ap-1177	108	11	material	material	NOUN
ap-1177	108	12	;	;	PUNCT
ap-1177	108	13	v	v	X
ap-1177	108	14	–	–	PUNCT
ap-1177	108	15	operating	operate	VERB
ap-1177	108	16	volume	volume	NOUN
ap-1177	108	17	of	of	ADP
ap-1177	108	18	the	the	DET
ap-1177	108	19	device	device	NOUN
ap-1177	108	20	.	.	PUNCT
ap-1177	109	1	in	in	ADP
ap-1177	109	2	the	the	DET
ap-1177	109	3	case	case	NOUN
ap-1177	109	4	of	of	ADP
ap-1177	109	5	an	an	DET
ap-1177	109	6	intermediate	intermediate	ADJ
ap-1177	109	7	hydrodynamic	hydrodynamic	ADJ
ap-1177	109	8	mode	mode	NOUN
ap-1177	109	9	,	,	PUNCT
ap-1177	109	10	the	the	DET
ap-1177	109	11	process	process	NOUN
ap-1177	109	12	of	of	ADP
ap-1177	109	13	grinding	grinding	NOUN
ap-1177	109	14	can	can	AUX
ap-1177	109	15	be	be	AUX
ap-1177	109	16	simulated	simulate	VERB
ap-1177	109	17	by	by	ADP
ap-1177	109	18	means	mean	NOUN
ap-1177	109	19	of	of	ADP
ap-1177	109	20	a	a	DET
ap-1177	109	21	cell	cell	NOUN
ap-1177	109	22	model	model	NOUN
ap-1177	109	23	.	.	PUNCT
ap-1177	110	1	thus	thus	ADV
ap-1177	110	2	,	,	PUNCT
ap-1177	110	3	the	the	DET
ap-1177	110	4	process	process	NOUN
ap-1177	110	5	will	will	AUX
ap-1177	110	6	be	be	AUX
ap-1177	110	7	described	describe	VERB
ap-1177	110	8	by	by	ADP
ap-1177	110	9	system	system	NOUN
ap-1177	110	10	of	of	ADP
ap-1177	110	11	differential	differential	ADJ
ap-1177	110	12	equations	equation	NOUN
ap-1177	110	13	of	of	ADP
ap-1177	110	14	type	type	NOUN
ap-1177	110	15	(	(	PUNCT
ap-1177	110	16	14	14	NUM
ap-1177	110	17	)	)	PUNCT
ap-1177	110	18	.	.	PUNCT
ap-1177	111	1	the	the	DET
ap-1177	111	2	number	number	NOUN
ap-1177	111	3	of	of	ADP
ap-1177	111	4	the	the	DET
ap-1177	111	5	equations	equation	NOUN
ap-1177	111	6	should	should	AUX
ap-1177	111	7	be	be	AUX
ap-1177	111	8	equal	equal	ADJ
ap-1177	111	9	to	to	ADP
ap-1177	111	10	number	number	NOUN
ap-1177	111	11	of	of	ADP
ap-1177	111	12	cells	cell	NOUN
ap-1177	111	13	of	of	ADP
ap-1177	111	14	the	the	DET
ap-1177	111	15	ideal	ideal	ADJ
ap-1177	111	16	mixture	mixture	NOUN
ap-1177	111	17	into	into	ADP
ap-1177	111	18	which	which	PRON
ap-1177	111	19	the	the	DET
ap-1177	111	20	device	device	NOUN
ap-1177	111	21	is	be	AUX
ap-1177	111	22	broken	break	VERB
ap-1177	111	23	down	down	ADP
ap-1177	111	24	.	.	PUNCT
ap-1177	112	1	using	use	VERB
ap-1177	112	2	a	a	DET
ap-1177	112	3	set	set	NOUN
ap-1177	112	4	of	of	ADP
ap-1177	112	5	blocks	block	NOUN
ap-1177	112	6	that	that	PRON
ap-1177	112	7	simulate	simulate	VERB
ap-1177	112	8	milling	milling	NOUN
ap-1177	112	9	in	in	ADP
ap-1177	112	10	a	a	DET
ap-1177	112	11	continuous	continuous	ADJ
ap-1177	112	12	action	action	NOUN
ap-1177	112	13	device	device	NOUN
ap-1177	112	14	with	with	ADP
ap-1177	112	15	various	various	ADJ
ap-1177	112	16	hydrodynamic	hydrodynamic	ADJ
ap-1177	112	17	modes	mode	NOUN
ap-1177	112	18	,	,	PUNCT
ap-1177	112	19	it	it	PRON
ap-1177	112	20	is	be	AUX
ap-1177	112	21	possible	possible	ADJ
ap-1177	112	22	to	to	PART
ap-1177	112	23	solve	solve	VERB
ap-1177	112	24	problems	problem	NOUN
ap-1177	112	25	of	of	ADP
ap-1177	112	26	modeling	modeling	NOUN
ap-1177	112	27	,	,	PUNCT
ap-1177	112	28	optimization	optimization	NOUN
ap-1177	112	29	and	and	CCONJ
ap-1177	112	30	constructive	constructive	ADJ
ap-1177	112	31	framing	framing	NOUN
ap-1177	112	32	of	of	ADP
ap-1177	112	33	processes	process	NOUN
ap-1177	112	34	combined	combine	VERB
ap-1177	112	35	with	with	ADP
ap-1177	112	36	grinding	grind	VERB
ap-1177	112	37	.	.	PUNCT
ap-1177	113	1	the	the	DET
ap-1177	113	2	mathematical	mathematical	ADJ
ap-1177	113	3	model	model	NOUN
ap-1177	113	4	(	(	PUNCT
ap-1177	113	5	6	6	NUM
ap-1177	113	6	,	,	PUNCT
ap-1177	113	7	8)	8)	NUM
ap-1177	113	8	of	of	ADP
ap-1177	113	9	particle	particle	NOUN
ap-1177	113	10	milling	milling	NOUN
ap-1177	113	11	in	in	ADP
ap-1177	113	12	the	the	DET
ap-1177	113	13	device	device	NOUN
ap-1177	113	14	of	of	ADP
ap-1177	113	15	theoretical	theoretical	ADJ
ap-1177	113	16	displacement	displacement	NOUN
ap-1177	113	17	of	of	ADP
ap-1177	113	18	continuous	continuous	ADJ
ap-1177	113	19	action	action	NOUN
ap-1177	113	20	has	have	AUX
ap-1177	113	21	been	be	AUX
ap-1177	113	22	used	use	VERB
ap-1177	113	23	to	to	PART
ap-1177	113	24	describe	describe	VERB
ap-1177	113	25	the	the	DET
ap-1177	113	26	process	process	NOUN
ap-1177	113	27	of	of	ADP
ap-1177	113	28	milling	mill	VERB
ap-1177	113	29	in	in	ADP
ap-1177	113	30	a	a	DET
ap-1177	113	31	rotor	rotor	NOUN
ap-1177	113	32	-	-	PUNCT
ap-1177	113	33	pulse	pulse	NOUN
ap-1177	113	34	grinder	grinder	NOUN
ap-1177	113	35	.	.	PUNCT
ap-1177	114	1	note	note	VERB
ap-1177	114	2	that	that	SCONJ
ap-1177	114	3	the	the	DET
ap-1177	114	4	two	two	NUM
ap-1177	114	5	-	-	PUNCT
ap-1177	114	6	level	level	NOUN
ap-1177	114	7	shockreflective	shockreflective	ADJ
ap-1177	114	8	grinder	grinder	NOUN
ap-1177	114	9	working	work	VERB
ap-1177	114	10	on	on	ADP
ap-1177	114	11	a	a	DET
ap-1177	114	12	single	single	ADJ
ap-1177	114	13	passage	passage	NOUN
ap-1177	114	14	is	be	AUX
ap-1177	114	15	close	close	ADJ
ap-1177	114	16	to	to	ADP
ap-1177	114	17	the	the	DET
ap-1177	114	18	hydrodynamic	hydrodynamic	ADJ
ap-1177	114	19	structure	structure	NOUN
ap-1177	114	20	of	of	ADP
ap-1177	114	21	a	a	DET
ap-1177	114	22	dispersed	disperse	VERB
ap-1177	114	23	particle	particle	NOUN
ap-1177	114	24	stream	stream	NOUN
ap-1177	114	25	to	to	ADP
ap-1177	114	26	the	the	DET
ap-1177	114	27	device	device	NOUN
ap-1177	114	28	of	of	ADP
ap-1177	114	29	theoretical	theoretical	ADJ
ap-1177	114	30	displacement	displacement	NOUN
ap-1177	114	31	of	of	ADP
ap-1177	114	32	continuous	continuous	ADJ
ap-1177	114	33	action	action	NOUN
ap-1177	114	34	.	.	PUNCT
ap-1177	115	1	if	if	SCONJ
ap-1177	115	2	we	we	PRON
ap-1177	115	3	know	know	VERB
ap-1177	115	4	a	a	DET
ap-1177	115	5	vector	vector	NOUN
ap-1177	115	6	π	π	PROPN
ap-1177	115	7	,	,	PUNCT
ap-1177	115	8	describing	describe	VERB
ap-1177	115	9	distribution	distribution	NOUN
ap-1177	115	10	of	of	ADP
ap-1177	115	11	the	the	DET
ap-1177	115	12	state	state	NOUN
ap-1177	115	13	probabilities	probability	NOUN
ap-1177	115	14	,	,	PUNCT
ap-1177	115	15	it	it	PRON
ap-1177	115	16	is	be	AUX
ap-1177	115	17	possible	possible	ADJ
ap-1177	115	18	to	to	PART
ap-1177	115	19	find	find	VERB
ap-1177	115	20	the	the	DET
ap-1177	115	21	density	density	NOUN
ap-1177	115	22	of	of	ADP
ap-1177	115	23	probability	probability	NOUN
ap-1177	115	24	distribution	distribution	NOUN
ap-1177	115	25	f	f	NOUN
ap-1177	115	26	,	,	PUNCT
ap-1177	115	27	m−1	m−1	PROPN
ap-1177	115	28	(	(	PUNCT
ap-1177	115	29	or	or	CCONJ
ap-1177	115	30	%	%	INTJ
ap-1177	115	31	/m−1	/m−1	PUNCT
ap-1177	115	32	)	)	PUNCT
ap-1177	115	33	.	.	PUNCT
ap-1177	116	1	this	this	DET
ap-1177	116	2	procedure	procedure	NOUN
ap-1177	116	3	is	be	AUX
ap-1177	116	4	well	well	ADV
ap-1177	116	5	-	-	PUNCT
ap-1177	116	6	known	know	VERB
ap-1177	116	7	in	in	ADP
ap-1177	116	8	probability	probability	NOUN
ap-1177	116	9	theory	theory	NOUN
ap-1177	116	10	.	.	PUNCT
ap-1177	117	1	obviously	obviously	ADV
ap-1177	117	2	f	f	PROPN
ap-1177	117	3	is	be	AUX
ap-1177	117	4	identical	identical	ADJ
ap-1177	117	5	to	to	ADP
ap-1177	117	6	density	density	NOUN
ap-1177	117	7	of	of	ADP
ap-1177	117	8	size	size	NOUN
ap-1177	117	9	distribution	distribution	NOUN
ap-1177	117	10	.	.	PUNCT
ap-1177	118	1	4	4	NUM
ap-1177	118	2	a	a	DET
ap-1177	118	3	check	check	NOUN
ap-1177	118	4	on	on	ADP
ap-1177	118	5	the	the	DET
ap-1177	118	6	adequacy	adequacy	NOUN
ap-1177	118	7	of	of	ADP
ap-1177	118	8	the	the	DET
ap-1177	118	9	mathematical	mathematical	ADJ
ap-1177	118	10	model	model	NOUN
ap-1177	118	11	in	in	ADP
ap-1177	118	12	order	order	NOUN
ap-1177	118	13	to	to	PART
ap-1177	118	14	obtain	obtain	VERB
ap-1177	118	15	the	the	DET
ap-1177	118	16	experimental	experimental	ADJ
ap-1177	118	17	density	density	NOUN
ap-1177	118	18	of	of	ADP
ap-1177	118	19	the	the	DET
ap-1177	118	20	sizeparticle	sizeparticle	NOUN
ap-1177	118	21	distribution	distribution	NOUN
ap-1177	118	22	,	,	PUNCT
ap-1177	118	23	we	we	PRON
ap-1177	118	24	used	use	VERB
ap-1177	118	25	the	the	DET
ap-1177	118	26	results	result	NOUN
ap-1177	118	27	of	of	ADP
ap-1177	118	28	research	research	NOUN
ap-1177	118	29	on	on	ADP
ap-1177	118	30	the	the	DET
ap-1177	118	31	process	process	NOUN
ap-1177	118	32	of	of	ADP
ap-1177	118	33	grinding	grind	VERB
ap-1177	118	34	in	in	ADP
ap-1177	118	35	a	a	DET
ap-1177	118	36	patch	patch	ADJ
ap-1177	118	37	-	-	PUNCT
ap-1177	118	38	centrifugal	centrifugal	ADJ
ap-1177	118	39	mill	mill	NOUN
ap-1177	118	40	.	.	PUNCT
ap-1177	119	1	the	the	DET
ap-1177	119	2	check	check	NOUN
ap-1177	119	3	on	on	ADP
ap-1177	119	4	the	the	DET
ap-1177	119	5	adequacy	adequacy	NOUN
ap-1177	119	6	of	of	ADP
ap-1177	119	7	the	the	DET
ap-1177	119	8	mathematical	mathematical	ADJ
ap-1177	119	9	model	model	NOUN
ap-1177	119	10	of	of	ADP
ap-1177	119	11	grinding	grind	VERB
ap-1177	119	12	involves	involve	NOUN
ap-1177	119	13	comparing	compare	VERB
ap-1177	119	14	the	the	DET
ap-1177	119	15	calculated	calculated	ADJ
ap-1177	119	16	density	density	NOUN
ap-1177	119	17	of	of	ADP
ap-1177	119	18	size	size	NOUN
ap-1177	119	19	-	-	PUNCT
ap-1177	119	20	particle	particle	NOUN
ap-1177	119	21	distribution	distribution	NOUN
ap-1177	119	22	equations	equation	NOUN
ap-1177	119	23	(	(	PUNCT
ap-1177	119	24	10	10	NUM
ap-1177	119	25	and	and	CCONJ
ap-1177	119	26	11	11	NUM
ap-1177	119	27	)	)	PUNCT
ap-1177	119	28	with	with	ADP
ap-1177	119	29	the	the	DET
ap-1177	119	30	experimental	experimental	ADJ
ap-1177	119	31	density	density	NOUN
ap-1177	119	32	of	of	ADP
ap-1177	119	33	size	size	NOUN
ap-1177	119	34	-	-	PUNCT
ap-1177	119	35	particle	particle	NOUN
ap-1177	119	36	distribution	distribution	NOUN
ap-1177	119	37	.	.	PUNCT
ap-1177	120	1	the	the	DET
ap-1177	120	2	experiments	experiment	NOUN
ap-1177	120	3	proved	prove	VERB
ap-1177	120	4	that	that	SCONJ
ap-1177	120	5	the	the	DET
ap-1177	120	6	time	time	NOUN
ap-1177	120	7	necessary	necessary	ADJ
ap-1177	120	8	to	to	PART
ap-1177	120	9	reach	reach	VERB
ap-1177	120	10	steady	steady	ADJ
ap-1177	120	11	state	state	NOUN
ap-1177	120	12	conditions	condition	NOUN
ap-1177	120	13	was	be	AUX
ap-1177	120	14	a	a	DET
ap-1177	120	15	few	few	ADJ
ap-1177	120	16	seconds	second	NOUN
ap-1177	120	17	and	and	CCONJ
ap-1177	120	18	less	less	ADJ
ap-1177	120	19	.	.	PUNCT
ap-1177	121	1	as	as	ADP
ap-1177	121	2	an	an	DET
ap-1177	121	3	example	example	NOUN
ap-1177	121	4	the	the	DET
ap-1177	121	5	results	result	NOUN
ap-1177	121	6	of	of	ADP
ap-1177	121	7	a	a	DET
ap-1177	121	8	check	check	NOUN
ap-1177	121	9	on	on	ADP
ap-1177	121	10	the	the	DET
ap-1177	121	11	adequacy	adequacy	NOUN
ap-1177	121	12	of	of	ADP
ap-1177	121	13	the	the	DET
ap-1177	121	14	mathematical	mathematical	ADJ
ap-1177	121	15	model	model	NOUN
ap-1177	121	16	of	of	ADP
ap-1177	121	17	grinding	grind	VERB
ap-1177	121	18	in	in	ADP
ap-1177	121	19	miller	miller	PROPN
ap-1177	121	20	are	be	AUX
ap-1177	121	21	shown	show	VERB
ap-1177	121	22	.	.	PUNCT
ap-1177	122	1	such	such	ADJ
ap-1177	122	2	equipment	equipment	NOUN
ap-1177	122	3	function	function	NOUN
ap-1177	122	4	can	can	AUX
ap-1177	122	5	be	be	AUX
ap-1177	122	6	described	describe	VERB
ap-1177	122	7	by	by	ADP
ap-1177	122	8	eqs	eqs	PROPN
ap-1177	122	9	.	.	PUNCT
ap-1177	123	1	(	(	PUNCT
ap-1177	123	2	6	6	NUM
ap-1177	123	3	to	to	PART
ap-1177	123	4	13	13	NUM
ap-1177	123	5	)	)	PUNCT
ap-1177	123	6	.	.	PUNCT
ap-1177	124	1	for	for	ADP
ap-1177	124	2	reasons	reason	NOUN
ap-1177	124	3	of	of	ADP
ap-1177	124	4	convenience	convenience	NOUN
ap-1177	124	5	,	,	PUNCT
ap-1177	124	6	the	the	DET
ap-1177	124	7	calculations	calculation	NOUN
ap-1177	124	8	and	and	CCONJ
ap-1177	124	9	the	the	DET
ap-1177	124	10	experiments	experiment	NOUN
ap-1177	124	11	used	use	VERB
ap-1177	124	12	quartz	quartz	NOUN
ap-1177	124	13	of	of	ADP
ap-1177	124	14	sand	sand	NOUN
ap-1177	124	15	and	and	CCONJ
ap-1177	124	16	benzoic	benzoic	ADJ
ap-1177	124	17	acid	acid	NOUN
ap-1177	124	18	.	.	PUNCT
ap-1177	125	1	the	the	DET
ap-1177	125	2	linear	linear	ADJ
ap-1177	125	3	speed	speed	NOUN
ap-1177	125	4	of	of	ADP
ap-1177	125	5	material	material	NOUN
ap-1177	125	6	was	be	AUX
ap-1177	125	7	taken	take	VERB
ap-1177	125	8	v	v	NOUN
ap-1177	125	9	=	=	SYM
ap-1177	125	10	24	24	NUM
ap-1177	125	11	m	m	NOUN
ap-1177	125	12	·	·	PUNCT
ap-1177	126	1	s−1	s−1	NOUN
ap-1177	126	2	in	in	ADP
ap-1177	126	3	both	both	DET
ap-1177	126	4	calculations	calculation	NOUN
ap-1177	126	5	and	and	CCONJ
ap-1177	126	6	experiments	experiment	NOUN
ap-1177	126	7	.	.	PUNCT
ap-1177	127	1	to	to	PART
ap-1177	127	2	obtain	obtain	VERB
ap-1177	127	3	calculated	calculated	ADJ
ap-1177	127	4	values	value	NOUN
ap-1177	127	5	for	for	ADP
ap-1177	127	6	the	the	DET
ap-1177	127	7	density	density	NOUN
ap-1177	127	8	of	of	ADP
ap-1177	127	9	the	the	DET
ap-1177	127	10	size	size	NOUN
ap-1177	127	11	-	-	PUNCT
ap-1177	127	12	particle	particle	NOUN
ap-1177	127	13	distribution	distribution	NOUN
ap-1177	127	14	,	,	PUNCT
ap-1177	127	15	it	it	PRON
ap-1177	127	16	is	be	AUX
ap-1177	127	17	necessary	necessary	ADJ
ap-1177	127	18	to	to	PART
ap-1177	127	19	make	make	VERB
ap-1177	127	20	use	use	NOUN
ap-1177	127	21	of	of	ADP
ap-1177	127	22	expression	expression	NOUN
ap-1177	127	23	(	(	PUNCT
ap-1177	127	24	12	12	NUM
ap-1177	127	25	)	)	PUNCT
ap-1177	127	26	.	.	PUNCT
ap-1177	128	1	having	having	AUX
ap-1177	128	2	determined	determine	VERB
ap-1177	128	3	the	the	DET
ap-1177	128	4	probabilities	probability	NOUN
ap-1177	128	5	of	of	ADP
ap-1177	128	6	particle	particle	NOUN
ap-1177	128	7	destruction	destruction	NOUN
ap-1177	128	8	pi	pi	NOUN
ap-1177	128	9	and	and	CCONJ
ap-1177	128	10	the	the	DET
ap-1177	128	11	value	value	NOUN
ap-1177	128	12	of	of	ADP
ap-1177	128	13	the	the	DET
ap-1177	128	14	distributive	distributive	ADJ
ap-1177	128	15	functions	function	NOUN
ap-1177	128	16	ϕij	ϕij	NOUN
ap-1177	128	17	,	,	PUNCT
ap-1177	128	18	and	and	CCONJ
ap-1177	128	19	also	also	ADV
ap-1177	128	20	the	the	DET
ap-1177	128	21	residence	residence	NOUN
ap-1177	128	22	time	time	NOUN
ap-1177	128	23	of	of	ADP
ap-1177	128	24	the	the	DET
ap-1177	128	25	particles	particle	NOUN
ap-1177	128	26	τ	τ	X
ap-1177	128	27	=	=	SYM
ap-1177	128	28	l	l	NOUN
ap-1177	128	29	v	v	NOUN
ap-1177	128	30	corresponding	correspond	VERB
ap-1177	128	31	to	to	ADP
ap-1177	128	32	the	the	DET
ap-1177	128	33	regime	regime	NOUN
ap-1177	128	34	and	and	CCONJ
ap-1177	128	35	design	design	NOUN
ap-1177	128	36	parameters	parameter	NOUN
ap-1177	128	37	,	,	PUNCT
ap-1177	128	38	we	we	PRON
ap-1177	128	39	find	find	VERB
ap-1177	128	40	matrix	matrix	NOUN
ap-1177	128	41	p	p	NOUN
ap-1177	128	42	and	and	CCONJ
ap-1177	128	43	then	then	ADV
ap-1177	128	44	matrix	matrix	VERB
ap-1177	128	45	a	a	DET
ap-1177	128	46	(	(	PUNCT
ap-1177	128	47	a	a	PRON
ap-1177	128	48	=	=	X
ap-1177	128	49	ln	ln	NOUN
ap-1177	128	50	p	p	NOUN
ap-1177	128	51	)	)	PUNCT
ap-1177	128	52	.	.	PUNCT
ap-1177	129	1	having	have	VERB
ap-1177	129	2	substituted	substitute	VERB
ap-1177	129	3	residence	residence	NOUN
ap-1177	129	4	time	time	NOUN
ap-1177	129	5	τ	τ	PROPN
ap-1177	129	6	,	,	PUNCT
ap-1177	129	7	elements	element	NOUN
ap-1177	129	8	aij	aij	PROPN
ap-1177	129	9	of	of	ADP
ap-1177	129	10	matrices	matrix	NOUN
ap-1177	129	11	a	a	PRON
ap-1177	129	12	and	and	CCONJ
ap-1177	129	13	the	the	DET
ap-1177	129	14	coordinates	coordinate	NOUN
ap-1177	129	15	of	of	ADP
ap-1177	129	16	initial	initial	ADJ
ap-1177	129	17	vector	vector	NOUN
ap-1177	129	18	π0	π0	NOUN
ap-1177	129	19	in	in	ADP
ap-1177	129	20	the	the	DET
ap-1177	129	21	system	system	NOUN
ap-1177	129	22	of	of	ADP
ap-1177	129	23	equations	equation	NOUN
ap-1177	129	24	(	(	PUNCT
ap-1177	129	25	12	12	NUM
ap-1177	129	26	)	)	PUNCT
ap-1177	129	27	,	,	PUNCT
ap-1177	129	28	we	we	PRON
ap-1177	129	29	calculate	calculate	VERB
ap-1177	129	30	the	the	DET
ap-1177	129	31	values	value	NOUN
ap-1177	129	32	for	for	ADP
ap-1177	129	33	particles	particle	NOUN
ap-1177	129	34	distribution	distribution	NOUN
ap-1177	129	35	density	density	NOUN
ap-1177	129	36	against	against	ADP
ap-1177	129	37	particle	particle	NOUN
ap-1177	129	38	size	size	NOUN
ap-1177	129	39	on	on	ADP
ap-1177	129	40	an	an	DET
ap-1177	129	41	output	output	NOUN
ap-1177	129	42	of	of	ADP
ap-1177	129	43	the	the	DET
ap-1177	129	44	device	device	NOUN
ap-1177	129	45	.	.	PUNCT
ap-1177	130	1	fig	fig	NOUN
ap-1177	130	2	.	.	PUNCT
ap-1177	131	1	1	1	NUM
ap-1177	131	2	:	:	PUNCT
ap-1177	131	3	comparison	comparison	NOUN
ap-1177	131	4	of	of	ADP
ap-1177	131	5	experimental	experimental	ADJ
ap-1177	131	6	density	density	NOUN
ap-1177	131	7	(	(	PUNCT
ap-1177	131	8	solid	solid	ADJ
ap-1177	131	9	lines	line	NOUN
ap-1177	131	10	)	)	PUNCT
ap-1177	131	11	and	and	CCONJ
ap-1177	131	12	calculated	calculate	VERB
ap-1177	131	13	(	(	PUNCT
ap-1177	131	14	dotted	dotted	ADJ
ap-1177	131	15	line	line	NOUN
ap-1177	131	16	)	)	PUNCT
ap-1177	131	17	density	density	NOUN
ap-1177	131	18	of	of	ADP
ap-1177	131	19	the	the	DET
ap-1177	131	20	distribution	distribution	NOUN
ap-1177	131	21	of	of	ADP
ap-1177	131	22	quartz	quartz	NOUN
ap-1177	131	23	sand	sand	NOUN
ap-1177	131	24	particles	particle	NOUN
ap-1177	131	25	in	in	ADP
ap-1177	131	26	sizes	size	NOUN
ap-1177	131	27	on	on	ADP
ap-1177	131	28	an	an	DET
ap-1177	131	29	output	output	NOUN
ap-1177	131	30	of	of	ADP
ap-1177	131	31	the	the	DET
ap-1177	131	32	device	device	NOUN
ap-1177	131	33	(	(	PUNCT
ap-1177	131	34	n	n	NOUN
ap-1177	131	35	=	=	SYM
ap-1177	131	36	3000	3000	NUM
ap-1177	131	37	rpm	rpm	NOUN
ap-1177	131	38	,	,	PUNCT
ap-1177	131	39	g	g	NOUN
ap-1177	131	40	=	=	NOUN
ap-1177	131	41	100	100	NUM
ap-1177	131	42	g	g	NOUN
ap-1177	131	43	/	/	SYM
ap-1177	131	44	min	min	NOUN
ap-1177	131	45	):	):	PUNCT
ap-1177	131	46	1	1	NUM
ap-1177	131	47	–	–	PUNCT
ap-1177	131	48	initial	initial	ADJ
ap-1177	131	49	material	material	NOUN
ap-1177	131	50	;	;	PUNCT
ap-1177	131	51	2	2	NUM
ap-1177	131	52	–	–	PUNCT
ap-1177	131	53	t	t	NOUN
ap-1177	131	54	=	=	SYM
ap-1177	131	55	1	1	NUM
ap-1177	131	56	min	min	NOUN
ap-1177	131	57	73	73	NUM
ap-1177	131	58	acta	acta	PROPN
ap-1177	131	59	polytechnica	polytechnica	PROPN
ap-1177	131	60	vol	vol	NOUN
ap-1177	131	61	.	.	PROPN
ap-1177	132	1	50	50	NUM
ap-1177	132	2	no	no	NOUN
ap-1177	132	3	.	.	PUNCT
ap-1177	133	1	2/2010	2/2010	NUM
ap-1177	133	2	fig	fig	NOUN
ap-1177	133	3	.	.	PUNCT
ap-1177	134	1	2	2	NUM
ap-1177	134	2	:	:	PUNCT
ap-1177	134	3	comparison	comparison	NOUN
ap-1177	134	4	of	of	ADP
ap-1177	134	5	experimental	experimental	ADJ
ap-1177	134	6	(	(	PUNCT
ap-1177	134	7	solid	solid	ADJ
ap-1177	134	8	lines	line	NOUN
ap-1177	134	9	)	)	PUNCT
ap-1177	134	10	and	and	CCONJ
ap-1177	134	11	calculated	calculate	VERB
ap-1177	134	12	(	(	PUNCT
ap-1177	134	13	dotted	dotted	ADJ
ap-1177	134	14	lines	line	NOUN
ap-1177	134	15	)	)	PUNCT
ap-1177	134	16	of	of	ADP
ap-1177	134	17	density	density	NOUN
ap-1177	134	18	of	of	ADP
ap-1177	134	19	distribution	distribution	NOUN
ap-1177	134	20	of	of	ADP
ap-1177	134	21	benzoic	benzoic	ADJ
ap-1177	134	22	acid	acid	NOUN
ap-1177	134	23	particles	particle	NOUN
ap-1177	134	24	in	in	ADP
ap-1177	134	25	sizes	size	NOUN
ap-1177	134	26	on	on	ADP
ap-1177	134	27	an	an	DET
ap-1177	134	28	output	output	NOUN
ap-1177	134	29	of	of	ADP
ap-1177	134	30	the	the	DET
ap-1177	134	31	device	device	NOUN
ap-1177	134	32	(	(	PUNCT
ap-1177	134	33	g	g	NOUN
ap-1177	134	34	=	=	NOUN
ap-1177	134	35	50	50	NUM
ap-1177	134	36	g	g	NOUN
ap-1177	134	37	/	/	SYM
ap-1177	134	38	min	min	NOUN
ap-1177	134	39	,	,	PUNCT
ap-1177	134	40	t	t	NOUN
ap-1177	134	41	=	=	SYM
ap-1177	134	42	1	1	NUM
ap-1177	134	43	min	min	NOUN
ap-1177	134	44	):	):	PUNCT
ap-1177	134	45	1	1	NUM
ap-1177	134	46	–	–	PUNCT
ap-1177	134	47	initial	initial	ADJ
ap-1177	134	48	material	material	NOUN
ap-1177	134	49	,	,	PUNCT
ap-1177	134	50	2	2	NUM
ap-1177	134	51	–	–	PUNCT
ap-1177	134	52	n	n	NOUN
ap-1177	134	53	=	=	SYM
ap-1177	134	54	2000	2000	NUM
ap-1177	134	55	rpm	rpm	NOUN
ap-1177	134	56	,	,	PUNCT
ap-1177	134	57	3	3	NUM
ap-1177	134	58	–	–	SYM
ap-1177	134	59	n	n	NOUN
ap-1177	134	60	=	=	SYM
ap-1177	134	61	3	3	NUM
ap-1177	134	62	000	000	NUM
ap-1177	134	63	rpm	rpm	NOUN
ap-1177	134	64	,	,	PUNCT
ap-1177	134	65	4	4	NUM
ap-1177	134	66	–	–	PUNCT
ap-1177	134	67	n	n	NOUN
ap-1177	134	68	=	=	SYM
ap-1177	134	69	4000	4000	NUM
ap-1177	134	70	rpm	rpm	VERB
ap-1177	134	71	a	a	DET
ap-1177	134	72	comparison	comparison	NOUN
ap-1177	134	73	was	be	AUX
ap-1177	134	74	made	make	VERB
ap-1177	134	75	of	of	ADP
ap-1177	134	76	the	the	DET
ap-1177	134	77	calculated	calculate	VERB
ap-1177	134	78	and	and	CCONJ
ap-1177	134	79	experimental	experimental	ADJ
ap-1177	134	80	particle	particle	NOUN
ap-1177	134	81	size	size	NOUN
ap-1177	134	82	density	density	NOUN
ap-1177	134	83	distributions	distribution	NOUN
ap-1177	134	84	of	of	ADP
ap-1177	134	85	the	the	DET
ap-1177	134	86	crushed	crush	VERB
ap-1177	134	87	material	material	NOUN
ap-1177	134	88	using	use	VERB
ap-1177	134	89	the	the	DET
ap-1177	134	90	root	root	NOUN
ap-1177	134	91	-	-	PUNCT
ap-1177	134	92	mean	mean	ADJ
ap-1177	134	93	-	-	PUNCT
ap-1177	134	94	square	square	NOUN
ap-1177	134	95	criterion	criterion	NOUN
ap-1177	134	96	of	of	ADP
ap-1177	134	97	conformity	conformity	NOUN
ap-1177	134	98	[	[	X
ap-1177	134	99	6	6	NUM
ap-1177	134	100	]	]	PUNCT
ap-1177	134	101	.	.	PUNCT
ap-1177	135	1	figs	fig	NOUN
ap-1177	135	2	.	.	PUNCT
ap-1177	136	1	1	1	NUM
ap-1177	136	2	and	and	CCONJ
ap-1177	136	3	2	2	NUM
ap-1177	136	4	show	show	VERB
ap-1177	136	5	the	the	DET
ap-1177	136	6	experimental	experimental	ADJ
ap-1177	136	7	and	and	CCONJ
ap-1177	136	8	calculated	calculate	VERB
ap-1177	136	9	particle	particle	NOUN
ap-1177	136	10	size	size	NOUN
ap-1177	136	11	distribution	distribution	NOUN
ap-1177	136	12	density	density	NOUN
ap-1177	136	13	changes	change	NOUN
ap-1177	136	14	with	with	ADP
ap-1177	136	15	time	time	NOUN
ap-1177	136	16	.	.	PUNCT
ap-1177	137	1	fig	fig	NOUN
ap-1177	137	2	.	.	PUNCT
ap-1177	138	1	1	1	NUM
ap-1177	138	2	shows	show	VERB
ap-1177	138	3	crushing	crush	VERB
ap-1177	138	4	of	of	ADP
ap-1177	138	5	quartz	quartz	NOUN
ap-1177	138	6	sand	sand	NOUN
ap-1177	138	7	particles	particle	NOUN
ap-1177	138	8	,	,	PUNCT
ap-1177	138	9	whereas	whereas	SCONJ
ap-1177	138	10	fig	fig	NOUN
ap-1177	138	11	.	.	PUNCT
ap-1177	138	12	2	2	NUM
ap-1177	138	13	shows	show	VERB
ap-1177	138	14	the	the	DET
ap-1177	138	15	effect	effect	NOUN
ap-1177	138	16	of	of	ADP
ap-1177	138	17	rotor	rotor	NOUN
ap-1177	138	18	rotational	rotational	ADJ
ap-1177	138	19	speed	speed	NOUN
ap-1177	138	20	on	on	ADP
ap-1177	138	21	the	the	DET
ap-1177	138	22	grinding	grinding	NOUN
ap-1177	138	23	of	of	ADP
ap-1177	138	24	benzoic	benzoic	ADJ
ap-1177	138	25	acid	acid	NOUN
ap-1177	138	26	particles	particle	NOUN
ap-1177	138	27	.	.	PUNCT
ap-1177	139	1	satisfactory	satisfactory	ADJ
ap-1177	139	2	agreement	agreement	NOUN
ap-1177	139	3	between	between	ADP
ap-1177	139	4	experimental	experimental	ADJ
ap-1177	139	5	and	and	CCONJ
ap-1177	139	6	calculated	calculated	ADJ
ap-1177	139	7	data	datum	NOUN
ap-1177	139	8	is	be	AUX
ap-1177	139	9	observed	observe	VERB
ap-1177	139	10	.	.	PUNCT
ap-1177	140	1	the	the	DET
ap-1177	140	2	calculated	calculated	ADJ
ap-1177	140	3	rootmean	rootmean	ADJ
ap-1177	140	4	-	-	PUNCT
ap-1177	140	5	square	square	NOUN
ap-1177	140	6	criteria	criterion	NOUN
ap-1177	140	7	of	of	ADP
ap-1177	140	8	the	the	DET
ap-1177	140	9	given	give	VERB
ap-1177	140	10	curves	curve	NOUN
ap-1177	140	11	do	do	AUX
ap-1177	140	12	not	not	PART
ap-1177	140	13	exceed	exceed	VERB
ap-1177	140	14	15	15	NUM
ap-1177	140	15	%	%	NOUN
ap-1177	140	16	.	.	PUNCT
ap-1177	141	1	we	we	PRON
ap-1177	141	2	can	can	AUX
ap-1177	141	3	conclude	conclude	VERB
ap-1177	141	4	that	that	SCONJ
ap-1177	141	5	the	the	DET
ap-1177	141	6	mathematical	mathematical	ADJ
ap-1177	141	7	model	model	NOUN
ap-1177	141	8	adequately	adequately	ADV
ap-1177	141	9	agrees	agree	VERB
ap-1177	141	10	with	with	ADP
ap-1177	141	11	the	the	DET
ap-1177	141	12	experimental	experimental	ADJ
ap-1177	141	13	data	datum	NOUN
ap-1177	141	14	on	on	ADP
ap-1177	141	15	the	the	DET
ap-1177	141	16	crushing	crush	VERB
ap-1177	141	17	process	process	NOUN
ap-1177	141	18	.	.	PUNCT
ap-1177	142	1	5	5	NUM
ap-1177	142	2	conclusion	conclusion	NOUN
ap-1177	142	3	the	the	DET
ap-1177	142	4	following	follow	VERB
ap-1177	142	5	conclusions	conclusion	NOUN
ap-1177	142	6	can	can	AUX
ap-1177	142	7	be	be	AUX
ap-1177	142	8	drawn	draw	VERB
ap-1177	142	9	:	:	PUNCT
ap-1177	142	10	•	•	NUM
ap-1177	142	11	mathematical	mathematical	ADJ
ap-1177	142	12	models	model	NOUN
ap-1177	142	13	of	of	ADP
ap-1177	142	14	disintegration	disintegration	NOUN
ap-1177	142	15	kinetics	kinetic	NOUN
ap-1177	142	16	have	have	AUX
ap-1177	142	17	been	be	AUX
ap-1177	142	18	classified	classify	VERB
ap-1177	142	19	on	on	ADP
ap-1177	142	20	the	the	DET
ap-1177	142	21	basis	basis	NOUN
ap-1177	142	22	of	of	ADP
ap-1177	142	23	their	their	PRON
ap-1177	142	24	belonging	belong	VERB
ap-1177	142	25	to	to	ADP
ap-1177	142	26	a	a	DET
ap-1177	142	27	certain	certain	ADJ
ap-1177	142	28	class	class	NOUN
ap-1177	142	29	of	of	ADP
ap-1177	142	30	markov	markov	NOUN
ap-1177	142	31	process	process	NOUN
ap-1177	142	32	.	.	PUNCT
ap-1177	143	1	•	•	NUM
ap-1177	143	2	solid	solid	ADJ
ap-1177	143	3	particle	particle	NOUN
ap-1177	143	4	grinding	grinding	NOUN
ap-1177	143	5	can	can	AUX
ap-1177	143	6	be	be	AUX
ap-1177	143	7	considered	consider	VERB
ap-1177	143	8	as	as	ADP
ap-1177	143	9	a	a	DET
ap-1177	143	10	markov	markov	NOUN
ap-1177	143	11	process	process	NOUN
ap-1177	143	12	.	.	PUNCT
ap-1177	144	1	•	•	NUM
ap-1177	144	2	a	a	DET
ap-1177	144	3	mathematical	mathematical	ADJ
ap-1177	144	4	description	description	NOUN
ap-1177	144	5	of	of	ADP
ap-1177	144	6	the	the	DET
ap-1177	144	7	disintegration	disintegration	NOUN
ap-1177	144	8	kinetics	kinetic	NOUN
ap-1177	144	9	of	of	ADP
ap-1177	144	10	polydisperse	polydisperse	NOUN
ap-1177	144	11	particles	particle	NOUN
ap-1177	144	12	when	when	SCONJ
ap-1177	144	13	milled	mill	VERB
ap-1177	144	14	in	in	ADP
ap-1177	144	15	a	a	DET
ap-1177	144	16	shock	shock	NOUN
ap-1177	144	17	-	-	PUNCT
ap-1177	144	18	loading	loading	NOUN
ap-1177	144	19	grinder	grinder	NOUN
ap-1177	144	20	is	be	AUX
ap-1177	144	21	proposed	propose	VERB
ap-1177	144	22	on	on	ADP
ap-1177	144	23	the	the	DET
ap-1177	144	24	basis	basis	NOUN
ap-1177	144	25	of	of	ADP
ap-1177	144	26	the	the	DET
ap-1177	144	27	theory	theory	NOUN
ap-1177	144	28	of	of	ADP
ap-1177	144	29	markov	markov	NOUN
ap-1177	144	30	processes	process	NOUN
ap-1177	144	31	,	,	PUNCT
ap-1177	144	32	taking	take	VERB
ap-1177	144	33	into	into	ADP
ap-1177	144	34	account	account	NOUN
ap-1177	144	35	the	the	DET
ap-1177	144	36	operating	operating	NOUN
ap-1177	144	37	conditions	condition	NOUN
ap-1177	144	38	in	in	ADP
ap-1177	144	39	the	the	DET
ap-1177	144	40	device	device	NOUN
ap-1177	144	41	.	.	PUNCT
ap-1177	145	1	the	the	DET
ap-1177	145	2	stochastic	stochastic	ADJ
ap-1177	145	3	model	model	NOUN
ap-1177	145	4	enables	enable	VERB
ap-1177	145	5	the	the	DET
ap-1177	145	6	particle	particle	NOUN
ap-1177	145	7	size	size	NOUN
ap-1177	145	8	distribution	distribution	NOUN
ap-1177	145	9	of	of	ADP
ap-1177	145	10	a	a	DET
ap-1177	145	11	material	material	NOUN
ap-1177	145	12	to	to	PART
ap-1177	145	13	be	be	AUX
ap-1177	145	14	calculated	calculate	VERB
ap-1177	145	15	at	at	ADP
ap-1177	145	16	any	any	DET
ap-1177	145	17	instant	instant	NOUN
ap-1177	145	18	in	in	ADP
ap-1177	145	19	any	any	DET
ap-1177	145	20	position	position	NOUN
ap-1177	145	21	in	in	ADP
ap-1177	145	22	the	the	DET
ap-1177	145	23	grinder	grinder	NOUN
ap-1177	145	24	.	.	PUNCT
ap-1177	146	1	•	•	NUM
ap-1177	146	2	the	the	DET
ap-1177	146	3	experimental	experimental	ADJ
ap-1177	146	4	data	datum	NOUN
ap-1177	146	5	is	be	AUX
ap-1177	146	6	in	in	ADP
ap-1177	146	7	agreement	agreement	NOUN
ap-1177	146	8	with	with	ADP
ap-1177	146	9	the	the	DET
ap-1177	146	10	predicted	predict	VERB
ap-1177	146	11	values	value	NOUN
ap-1177	146	12	according	accord	VERB
ap-1177	146	13	to	to	ADP
ap-1177	146	14	the	the	DET
ap-1177	146	15	model	model	NOUN
ap-1177	146	16	.	.	PUNCT
ap-1177	147	1	acknowledgement	acknowledgement	NOUN
ap-1177	147	2	this	this	DET
ap-1177	147	3	research	research	NOUN
ap-1177	147	4	has	have	AUX
ap-1177	147	5	been	be	AUX
ap-1177	147	6	executed	execute	VERB
ap-1177	147	7	within	within	ADP
ap-1177	147	8	the	the	DET
ap-1177	147	9	framework	framework	NOUN
ap-1177	147	10	of	of	ADP
ap-1177	147	11	the	the	DET
ap-1177	147	12	analytical	analytical	ADJ
ap-1177	147	13	departmental	departmental	ADJ
ap-1177	147	14	target	target	NOUN
ap-1177	147	15	program	program	NOUN
ap-1177	147	16	development	development	NOUN
ap-1177	147	17	of	of	ADP
ap-1177	147	18	the	the	DET
ap-1177	147	19	scientific	scientific	ADJ
ap-1177	147	20	potential	potential	NOUN
ap-1177	147	21	of	of	ADP
ap-1177	147	22	the	the	DET
ap-1177	147	23	university	university	NOUN
ap-1177	147	24	(	(	PUNCT
ap-1177	147	25	2009–2010	2009–2010	NOUN
ap-1177	147	26	)	)	PUNCT
ap-1177	147	27	.	.	PUNCT
ap-1177	148	1	action	action	NOUN
ap-1177	148	2	2.1.2.6492	2.1.2.6492	NUM
ap-1177	148	3	and	and	CCONJ
ap-1177	148	4	within	within	ADP
ap-1177	148	5	the	the	DET
ap-1177	148	6	framework	framework	NOUN
ap-1177	148	7	of	of	ADP
ap-1177	148	8	the	the	DET
ap-1177	148	9	agreement	agreement	NOUN
ap-1177	148	10	on	on	ADP
ap-1177	148	11	cooperation	cooperation	NOUN
ap-1177	148	12	between	between	ADP
ap-1177	148	13	the	the	DET
ap-1177	148	14	czech	czech	PROPN
ap-1177	148	15	technical	technical	PROPN
ap-1177	148	16	university	university	PROPN
ap-1177	148	17	in	in	ADP
ap-1177	148	18	prague	prague	PROPN
ap-1177	148	19	and	and	CCONJ
ap-1177	148	20	the	the	DET
ap-1177	148	21	ivanovo	ivanovo	PROPN
ap-1177	148	22	state	state	PROPN
ap-1177	148	23	university	university	PROPN
ap-1177	148	24	of	of	ADP
ap-1177	148	25	chemistry	chemistry	NOUN
ap-1177	148	26	and	and	CCONJ
ap-1177	148	27	technology	technology	NOUN
ap-1177	148	28	.	.	PUNCT
ap-1177	149	1	references	reference	NOUN
ap-1177	149	2	[	[	X
ap-1177	149	3	1	1	NUM
ap-1177	149	4	]	]	PUNCT
ap-1177	149	5	nepomniatchiy	nepomniatchiy	NOUN
ap-1177	149	6	,	,	PUNCT
ap-1177	149	7	e.	e.	PROPN
ap-1177	149	8	a.	a.	PROPN
ap-1177	149	9	:	:	PUNCT
ap-1177	149	10	kinetics	kinetic	NOUN
ap-1177	149	11	of	of	ADP
ap-1177	149	12	milling	mill	VERB
ap-1177	149	13	.	.	PUNCT
ap-1177	150	1	theoretical	theoretical	ADJ
ap-1177	150	2	fundamentals	fundamental	NOUN
ap-1177	150	3	of	of	ADP
ap-1177	150	4	chemical	chemical	NOUN
ap-1177	150	5	technology	technology	NOUN
ap-1177	150	6	,	,	PUNCT
ap-1177	150	7	1977	1977	NUM
ap-1177	150	8	.	.	PUNCT
ap-1177	151	1	vol	vol	NOUN
ap-1177	151	2	.	.	PROPN
ap-1177	152	1	11	11	NUM
ap-1177	152	2	,	,	PUNCT
ap-1177	152	3	no	no	INTJ
ap-1177	152	4	.	.	NOUN
ap-1177	152	5	3	3	X
ap-1177	152	6	.	.	PUNCT
ap-1177	153	1	p.	p.	NOUN
ap-1177	153	2	576–580	576–580	NUM
ap-1177	153	3	.	.	PUNCT
ap-1177	154	1	[	[	X
ap-1177	154	2	2	2	NUM
ap-1177	154	3	]	]	X
ap-1177	154	4	venttsel	venttsel	ADJ
ap-1177	154	5	,	,	PUNCT
ap-1177	154	6	e.	e.	PROPN
ap-1177	154	7	s.	s.	PROPN
ap-1177	154	8	,	,	PUNCT
ap-1177	154	9	ovcharov	ovcharov	PROPN
ap-1177	154	10	,	,	PUNCT
ap-1177	154	11	l.	l.	PROPN
ap-1177	154	12	a.	a.	PROPN
ap-1177	154	13	:	:	PUNCT
ap-1177	154	14	the	the	DET
ap-1177	154	15	theory	theory	NOUN
ap-1177	154	16	of	of	ADP
ap-1177	154	17	casual	casual	ADJ
ap-1177	154	18	processes	process	NOUN
ap-1177	154	19	and	and	CCONJ
ap-1177	154	20	its	its	PRON
ap-1177	154	21	engineering	engineering	NOUN
ap-1177	154	22	applications	application	NOUN
ap-1177	154	23	.	.	PUNCT
ap-1177	155	1	m.	m.	NOUN
ap-1177	155	2	:	:	PUNCT
ap-1177	155	3	publishing	publish	VERB
ap-1177	155	4	centre	centre	NOUN
ap-1177	155	5	“	"	PUNCT
ap-1177	155	6	academy	academy	NOUN
ap-1177	155	7	”	"	PUNCT
ap-1177	155	8	,	,	PUNCT
ap-1177	155	9	2003	2003	NUM
ap-1177	155	10	.	.	PUNCT
ap-1177	156	1	[	[	X
ap-1177	156	2	3	3	NUM
ap-1177	156	3	]	]	X
ap-1177	156	4	padokhin	padokhin	NOUN
ap-1177	156	5	,	,	PUNCT
ap-1177	156	6	v.	v.	PROPN
ap-1177	156	7	a.	a.	PROPN
ap-1177	156	8	,	,	PUNCT
ap-1177	156	9	zueva	zueva	PROPN
ap-1177	156	10	,	,	PUNCT
ap-1177	156	11	g.	g.	PROPN
ap-1177	156	12	a.	a.	PROPN
ap-1177	156	13	:	:	PUNCT
ap-1177	156	14	discrete	discrete	ADJ
ap-1177	156	15	markov	markov	NOUN
ap-1177	156	16	models	model	NOUN
ap-1177	156	17	of	of	ADP
ap-1177	156	18	process	process	NOUN
ap-1177	156	19	of	of	ADP
ap-1177	156	20	dispergation	dispergation	NOUN
ap-1177	156	21	.	.	PUNCT
ap-1177	157	1	engineering	engineering	NOUN
ap-1177	157	2	and	and	CCONJ
ap-1177	157	3	technology	technology	NOUN
ap-1177	157	4	of	of	ADP
ap-1177	157	5	loose	loose	ADJ
ap-1177	157	6	materials	material	NOUN
ap-1177	157	7	.	.	PUNCT
ap-1177	158	1	ivanovo	ivanovo	PROPN
ap-1177	158	2	,	,	PUNCT
ap-1177	158	3	1991	1991	NUM
ap-1177	158	4	,	,	PUNCT
ap-1177	158	5	p.	p.	NOUN
ap-1177	158	6	55–59	55–59	NUM
ap-1177	158	7	.	.	PUNCT
ap-1177	159	1	[	[	X
ap-1177	159	2	4	4	NUM
ap-1177	159	3	]	]	X
ap-1177	159	4	howard	howard	PROPN
ap-1177	159	5	,	,	PUNCT
ap-1177	159	6	r.	r.	PROPN
ap-1177	159	7	a.	a.	PROPN
ap-1177	159	8	:	:	PUNCT
ap-1177	159	9	dynamic	dynamic	ADJ
ap-1177	159	10	programming	programming	NOUN
ap-1177	159	11	and	and	CCONJ
ap-1177	159	12	markov	markov	NOUN
ap-1177	159	13	processes	process	NOUN
ap-1177	159	14	.	.	PUNCT
ap-1177	160	1	m.	m.	NOUN
ap-1177	160	2	:	:	PUNCT
ap-1177	160	3	sovietskoye	sovietskoye	NOUN
ap-1177	160	4	radio	radio	NOUN
ap-1177	160	5	,	,	PUNCT
ap-1177	160	6	1964	1964	NUM
ap-1177	160	7	.	.	PUNCT
ap-1177	161	1	[	[	X
ap-1177	161	2	5	5	NUM
ap-1177	161	3	]	]	PUNCT
ap-1177	161	4	gantmaher	gantmaher	NOUN
ap-1177	161	5	,	,	PUNCT
ap-1177	161	6	f.	f.	PROPN
ap-1177	161	7	r.	r.	PROPN
ap-1177	161	8	:	:	PUNCT
ap-1177	161	9	the	the	DET
ap-1177	161	10	theory	theory	NOUN
ap-1177	161	11	of	of	ADP
ap-1177	161	12	matrixes	matrix	NOUN
ap-1177	161	13	.	.	PUNCT
ap-1177	162	1	m.	m.	NOUN
ap-1177	162	2	:	:	PUNCT
ap-1177	162	3	science	science	NOUN
ap-1177	162	4	,	,	PUNCT
ap-1177	162	5	1988	1988	NUM
ap-1177	162	6	.	.	PUNCT
ap-1177	163	1	[	[	X
ap-1177	163	2	6	6	NUM
ap-1177	163	3	]	]	PUNCT
ap-1177	163	4	kafarov	kafarov	NOUN
ap-1177	163	5	,	,	PUNCT
ap-1177	163	6	v.	v.	PROPN
ap-1177	163	7	v.	v.	ADV
ap-1177	163	8	,	,	PUNCT
ap-1177	163	9	dorohov	dorohov	ADJ
ap-1177	163	10	,	,	PUNCT
ap-1177	163	11	i.	i.	PROPN
ap-1177	163	12	n.	n.	PROPN
ap-1177	163	13	,	,	PUNCT
ap-1177	163	14	arutyunov	arutyunov	PROPN
ap-1177	163	15	,	,	PUNCT
ap-1177	163	16	s.	s.	PROPN
ap-1177	163	17	j.	j.	PROPN
ap-1177	163	18	:	:	PUNCT
ap-1177	163	19	system	system	VERB
ap-1177	163	20	analysis	analysis	NOUN
ap-1177	163	21	of	of	ADP
ap-1177	163	22	processes	process	NOUN
ap-1177	163	23	of	of	ADP
ap-1177	163	24	chemical	chemical	NOUN
ap-1177	163	25	technology	technology	NOUN
ap-1177	163	26	.	.	PUNCT
ap-1177	164	1	processes	process	NOUN
ap-1177	164	2	of	of	ADP
ap-1177	164	3	crushing	crush	VERB
ap-1177	164	4	and	and	CCONJ
ap-1177	164	5	mixture	mixture	NOUN
ap-1177	164	6	of	of	ADP
ap-1177	164	7	loose	loose	ADJ
ap-1177	164	8	materials	material	NOUN
ap-1177	164	9	.	.	PUNCT
ap-1177	165	1	m.	m.	NOUN
ap-1177	165	2	:	:	PUNCT
ap-1177	165	3	science	science	NOUN
ap-1177	165	4	,	,	PUNCT
ap-1177	165	5	1985	1985	NUM
ap-1177	165	6	.	.	PUNCT
ap-1177	166	1	[	[	X
ap-1177	166	2	7	7	NUM
ap-1177	166	3	]	]	X
ap-1177	166	4	ditkin	ditkin	X
ap-1177	166	5	,	,	PUNCT
ap-1177	166	6	v.	v.	PROPN
ap-1177	166	7	a.	a.	PROPN
ap-1177	166	8	,	,	PUNCT
ap-1177	166	9	prudnikov	prudnikov	PROPN
ap-1177	166	10	,	,	PUNCT
ap-1177	166	11	a.	a.	NOUN
ap-1177	166	12	p.	p.	NOUN
ap-1177	166	13	:	:	PUNCT
ap-1177	166	14	operation	operation	NOUN
ap-1177	166	15	calculus	calculus	NOUN
ap-1177	166	16	.	.	PUNCT
ap-1177	167	1	m.	m.	NOUN
ap-1177	167	2	:	:	PUNCT
ap-1177	167	3	higher	high	ADJ
ap-1177	167	4	school	school	NOUN
ap-1177	167	5	.	.	PUNCT
ap-1177	168	1	1966	1966	NUM
ap-1177	168	2	.	.	PUNCT
ap-1177	169	1	[	[	X
ap-1177	169	2	8	8	NUM
ap-1177	169	3	]	]	X
ap-1177	169	4	padokhin	padokhin	NOUN
ap-1177	169	5	,	,	PUNCT
ap-1177	169	6	v.	v.	PROPN
ap-1177	169	7	a.	a.	PROPN
ap-1177	169	8	,	,	PUNCT
ap-1177	169	9	zueva	zueva	PROPN
ap-1177	169	10	,	,	PUNCT
ap-1177	169	11	g.	g.	PROPN
ap-1177	169	12	a.	a.	PROPN
ap-1177	169	13	:	:	PUNCT
ap-1177	170	1	stochastic	stochastic	ADJ
ap-1177	170	2	markov	markov	NOUN
ap-1177	170	3	models	model	NOUN
ap-1177	170	4	of	of	ADP
ap-1177	170	5	mechanostructural	mechanostructural	ADJ
ap-1177	170	6	transformations	transformation	NOUN
ap-1177	170	7	in	in	ADP
ap-1177	170	8	inorganic	inorganic	ADJ
ap-1177	170	9	substances	substance	NOUN
ap-1177	170	10	and	and	CCONJ
ap-1177	170	11	high	high	ADJ
ap-1177	170	12	-	-	PUNCT
ap-1177	170	13	molecular	molecular	ADJ
ap-1177	170	14	connections	connection	NOUN
ap-1177	170	15	.	.	PUNCT
ap-1177	171	1	energy	energy	NOUN
ap-1177	171	2	and	and	CCONJ
ap-1177	171	3	resource	resource	NOUN
ap-1177	171	4	saving	saving	NOUN
ap-1177	171	5	technologies	technology	NOUN
ap-1177	171	6	and	and	CCONJ
ap-1177	171	7	equipment	equipment	NOUN
ap-1177	171	8	,	,	PUNCT
ap-1177	171	9	ecologically	ecologically	ADV
ap-1177	171	10	safe	safe	ADJ
ap-1177	171	11	manufactures	manufacture	NOUN
ap-1177	171	12	,	,	PUNCT
ap-1177	171	13	ivanovo	ivanovo	PROPN
ap-1177	171	14	,	,	PUNCT
ap-1177	171	15	1	1	NUM
ap-1177	171	16	,	,	PUNCT
ap-1177	171	17	2004	2004	NUM
ap-1177	171	18	,	,	PUNCT
ap-1177	171	19	p.	p.	NOUN
ap-1177	171	20	215–224	215–224	NUM
ap-1177	171	21	.	.	PUNCT
ap-1177	172	1	[	[	X
ap-1177	172	2	9	9	NUM
ap-1177	172	3	]	]	SYM
ap-1177	172	4	mizonov	mizonov	NOUN
ap-1177	172	5	,	,	PUNCT
ap-1177	172	6	v.	v.	ADJ
ap-1177	172	7	:	:	PUNCT
ap-1177	172	8	application	application	NOUN
ap-1177	172	9	of	of	ADP
ap-1177	172	10	multi	multi	ADJ
ap-1177	172	11	-	-	ADJ
ap-1177	172	12	dimensional	dimensional	ADJ
ap-1177	172	13	markov	markov	NOUN
ap-1177	172	14	chains	chain	NOUN
ap-1177	172	15	to	to	PART
ap-1177	172	16	model	model	VERB
ap-1177	172	17	kinetics	kinetic	NOUN
ap-1177	172	18	of	of	ADP
ap-1177	172	19	grinding	grind	VERB
ap-1177	172	20	with	with	ADP
ap-1177	172	21	internal	internal	ADJ
ap-1177	172	22	classification	classification	NOUN
ap-1177	172	23	.	.	PUNCT
ap-1177	173	1	the	the	DET
ap-1177	173	2	10th	10th	ADJ
ap-1177	173	3	symposium	symposium	NOUN
ap-1177	173	4	on	on	ADP
ap-1177	173	5	comminution	comminution	PROPN
ap-1177	173	6	heidelberg	heidelberg	PROPN
ap-1177	173	7	,	,	PUNCT
ap-1177	173	8	2002	2002	NUM
ap-1177	173	9	,	,	PUNCT
ap-1177	173	10	p.	p.	NOUN
ap-1177	173	11	14	14	NUM
ap-1177	173	12	.	.	PUNCT
ap-1177	174	1	[	[	X
ap-1177	174	2	10	10	NUM
ap-1177	174	3	]	]	X
ap-1177	174	4	kutepov	kutepov	NOUN
ap-1177	174	5	,	,	PUNCT
ap-1177	174	6	a.	a.	NOUN
ap-1177	174	7	m.	m.	NOUN
ap-1177	174	8	:	:	PUNCT
ap-1177	174	9	stochastic	stochastic	ADJ
ap-1177	174	10	theory	theory	NOUN
ap-1177	174	11	of	of	ADP
ap-1177	174	12	processes	process	NOUN
ap-1177	174	13	of	of	ADP
ap-1177	174	14	division	division	NOUN
ap-1177	174	15	of	of	ADP
ap-1177	174	16	heterogeneous	heterogeneous	ADJ
ap-1177	174	17	systems	system	NOUN
ap-1177	174	18	.	.	PUNCT
ap-1177	175	1	iii	iii	X
ap-1177	175	2	intern	intern	NOUN
ap-1177	175	3	.	.	PUNCT
ap-1177	175	4	conf	conf	PROPN
ap-1177	175	5	.	.	PUNCT
ap-1177	176	1	theoretical	theoretical	ADJ
ap-1177	176	2	and	and	CCONJ
ap-1177	176	3	experimental	experimental	ADJ
ap-1177	176	4	bases	basis	NOUN
ap-1177	176	5	of	of	ADP
ap-1177	176	6	creation	creation	NOUN
ap-1177	176	7	of	of	ADP
ap-1177	176	8	the	the	DET
ap-1177	176	9	new	new	ADJ
ap-1177	176	10	equipment	equipment	NOUN
ap-1177	176	11	.	.	PUNCT
ap-1177	177	1	ivanovo	ivanovo	PROPN
ap-1177	177	2	,	,	PUNCT
ap-1177	177	3	1977	1977	NUM
ap-1177	177	4	.	.	PUNCT
ap-1177	178	1	[	[	X
ap-1177	178	2	11	11	NUM
ap-1177	178	3	]	]	PUNCT
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ap-1177	178	5	,	,	PUNCT
ap-1177	178	6	a.	a.	NOUN
ap-1177	178	7	m.	m.	NOUN
ap-1177	178	8	,	,	PUNCT
ap-1177	178	9	kutepov	kutepov	PROPN
ap-1177	178	10	,	,	PUNCT
ap-1177	178	11	a.	a.	NOUN
ap-1177	178	12	m.	m.	NOUN
ap-1177	178	13	:	:	PUNCT
ap-1177	178	14	hydrocyclones	hydrocyclones	PROPN
ap-1177	178	15	.	.	PUNCT
ap-1177	179	1	m.	m.	NOUN
ap-1177	179	2	:	:	PUNCT
ap-1177	179	3	science	science	NOUN
ap-1177	179	4	,	,	PUNCT
ap-1177	179	5	1994	1994	NUM
ap-1177	179	6	.	.	PUNCT
ap-1177	180	1	[	[	X
ap-1177	180	2	12	12	NUM
ap-1177	180	3	]	]	X
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ap-1177	180	5	,	,	PUNCT
ap-1177	180	6	a.	a.	NOUN
ap-1177	180	7	n.	n.	NOUN
ap-1177	180	8	:	:	PUNCT
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ap-1177	180	10	,	,	PUNCT
ap-1177	180	11	31	31	NUM
ap-1177	180	12	,	,	PUNCT
ap-1177	180	13	99	99	NUM
ap-1177	180	14	,	,	PUNCT
ap-1177	180	15	(	(	PUNCT
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ap-1177	180	17	)	)	PUNCT
ap-1177	180	18	(	(	PUNCT
ap-1177	180	19	in	in	ADP
ap-1177	180	20	russian	russian	NOUN
ap-1177	180	21	)	)	PUNCT
ap-1177	180	22	.	.	PUNCT
ap-1177	181	1	[	[	X
ap-1177	181	2	13	13	NUM
ap-1177	181	3	]	]	SYM
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ap-1177	181	5	,	,	PUNCT
ap-1177	181	6	e.	e.	PROPN
ap-1177	181	7	a.	a.	PROPN
ap-1177	181	8	:	:	PUNCT
ap-1177	181	9	toht	toht	ADV
ap-1177	181	10	,	,	PUNCT
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ap-1177	181	12	,	,	PUNCT
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ap-1177	181	14	(	(	PUNCT
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ap-1177	181	16	)	)	PUNCT
ap-1177	181	17	(	(	PUNCT
ap-1177	181	18	in	in	ADP
ap-1177	181	19	russian	russian	NOUN
ap-1177	181	20	)	)	PUNCT
ap-1177	181	21	.	.	PUNCT
ap-1177	182	1	[	[	X
ap-1177	182	2	14	14	NUM
ap-1177	182	3	]	]	SYM
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ap-1177	182	5	,	,	PUNCT
ap-1177	182	6	w.	w.	PROPN
ap-1177	182	7	:	:	PUNCT
ap-1177	182	8	an	an	DET
ap-1177	182	9	introduction	introduction	NOUN
ap-1177	182	10	to	to	ADP
ap-1177	182	11	probability	probability	NOUN
ap-1177	182	12	theory	theory	NOUN
ap-1177	182	13	and	and	CCONJ
ap-1177	182	14	its	its	PRON
ap-1177	182	15	applications	application	NOUN
ap-1177	182	16	.	.	PUNCT
ap-1177	183	1	3rd	3rd	ADJ
ap-1177	183	2	edition	edition	PROPN
ap-1177	183	3	.	.	PUNCT
ap-1177	184	1	wiley	wiley	PROPN
ap-1177	184	2	,	,	PUNCT
ap-1177	184	3	1968	1968	NUM
ap-1177	184	4	.	.	PUNCT
ap-1177	185	1	74	74	NUM
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ap-1177	185	5	.	.	PROPN
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ap-1177	186	2	no	no	NOUN
ap-1177	186	3	.	.	PUNCT
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ap-1177	187	2	prof	prof	NOUN
ap-1177	187	3	.	.	PUNCT
ap-1177	188	1	galina	galina	PROPN
ap-1177	188	2	a.	a.	PROPN
ap-1177	188	3	zueva	zueva	PROPN
ap-1177	189	1	e	e	NOUN
ap-1177	189	2	-	-	NOUN
ap-1177	189	3	mail	mail	NOUN
ap-1177	189	4	:	:	PUNCT
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ap-1177	189	6	ivanovo	ivanovo	PROPN
ap-1177	189	7	state	state	PROPN
ap-1177	189	8	university	university	PROPN
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ap-1177	189	10	chemistry	chemistry	NOUN
ap-1177	189	11	and	and	CCONJ
ap-1177	189	12	technology	technology	NOUN
ap-1177	189	13	pr	pr	NOUN
ap-1177	189	14	.	.	PUNCT
ap-1177	190	1	f.	f.	PROPN
ap-1177	190	2	engelsa	engelsa	PROPN
ap-1177	190	3	7	7	NUM
ap-1177	190	4	,	,	PUNCT
ap-1177	190	5	153000	153000	NUM
ap-1177	190	6	ivanovo	ivanovo	NOUN
ap-1177	190	7	,	,	PUNCT
ap-1177	190	8	russia	russia	PROPN
ap-1177	190	9	prof	prof	PROPN
ap-1177	190	10	.	.	PUNCT
ap-1177	191	1	valeriy	valeriy	PROPN
ap-1177	191	2	a.	a.	PROPN
ap-1177	191	3	padokhin	padokhin	PROPN
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ap-1177	191	7	chemistry	chemistry	PROPN
ap-1177	191	8	russian	russian	PROPN
ap-1177	191	9	academy	academy	PROPN
ap-1177	191	10	of	of	ADP
ap-1177	191	11	sciences	sciences	PROPN
ap-1177	191	12	ul	ul	INTJ
ap-1177	191	13	.	.	PUNCT
ap-1177	191	14	akademicheskaya	akademicheskaya	PROPN
ap-1177	191	15	1	1	NUM
ap-1177	191	16	,	,	PUNCT
ap-1177	191	17	153045	153045	NUM
ap-1177	191	18	ivanovo	ivanovo	NOUN
ap-1177	191	19	,	,	PUNCT
ap-1177	191	20	russia	russia	PROPN
ap-1177	191	21	prof	prof	PROPN
ap-1177	191	22	.	.	PUNCT
ap-1177	192	1	ing	ing	PROPN
ap-1177	192	2	.	.	PUNCT
ap-1177	193	1	pavel	pavel	PROPN
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ap-1177	193	3	,	,	PUNCT
ap-1177	193	4	drsc	drsc	PROPN
ap-1177	193	5	.	.	PUNCT
ap-1177	194	1	phone	phone	NOUN
ap-1177	194	2	:	:	PUNCT
ap-1177	194	3	+420	+420	PROPN
ap-1177	194	4	224	224	NUM
ap-1177	194	5	352	352	NUM
ap-1177	194	6	549	549	NUM
ap-1177	194	7	e	e	NOUN
ap-1177	194	8	-	-	NOUN
ap-1177	194	9	mail	mail	NOUN
ap-1177	194	10	:	:	PUNCT
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ap-1177	194	16	faculty	faculty	NOUN
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ap-1177	194	18	mechanical	mechanical	ADJ
ap-1177	194	19	engineering	engineering	NOUN
ap-1177	194	20	czech	czech	PROPN
ap-1177	194	21	technical	technical	PROPN
ap-1177	194	22	university	university	PROPN
ap-1177	194	23	in	in	ADP
ap-1177	194	24	prague	prague	PROPN
ap-1177	194	25	technická	technická	PROPN
ap-1177	194	26	4	4	NUM
ap-1177	194	27	,	,	PUNCT
ap-1177	194	28	166	166	NUM
ap-1177	194	29	07	07	NUM
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ap-1177	194	31	6	6	NUM
ap-1177	194	32	,	,	PUNCT
ap-1177	194	33	czech	czech	PROPN
ap-1177	194	34	republic	republic	NOUN
ap-1177	194	35	nomenclature	nomenclature	NOUN
ap-1177	194	36	a	a	DET
ap-1177	194	37	matrix	matrix	NOUN
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ap-1177	194	39	intensities	intensity	NOUN
ap-1177	194	40	of	of	ADP
ap-1177	194	41	transitions	transition	NOUN
ap-1177	194	42	aij	aij	PROPN
ap-1177	194	43	components	component	NOUN
ap-1177	194	44	of	of	ADP
ap-1177	194	45	matrix	matrix	NOUN
ap-1177	194	46	of	of	ADP
ap-1177	194	47	transition	transition	NOUN
ap-1177	194	48	intensities	intensity	NOUN
ap-1177	194	49	,	,	PUNCT
ap-1177	194	50	s−1	s−1	PROPN
ap-1177	194	51	d	d	NOUN
ap-1177	194	52	diameter	diameter	NOUN
ap-1177	194	53	of	of	ADP
ap-1177	194	54	particle	particle	NOUN
ap-1177	194	55	,	,	PUNCT
ap-1177	194	56	m	m	PROPN
ap-1177	194	57	f	f	NOUN
ap-1177	194	58	density	density	NOUN
ap-1177	194	59	of	of	ADP
ap-1177	194	60	distribution	distribution	NOUN
ap-1177	194	61	of	of	ADP
ap-1177	194	62	probabilities	probability	NOUN
ap-1177	194	63	of	of	ADP
ap-1177	194	64	states	state	NOUN
ap-1177	194	65	which	which	PRON
ap-1177	194	66	is	be	AUX
ap-1177	194	67	identical	identical	ADJ
ap-1177	194	68	to	to	ADP
ap-1177	194	69	particle	particle	NOUN
ap-1177	194	70	size	size	NOUN
ap-1177	194	71	distribution	distribution	NOUN
ap-1177	194	72	density	density	NOUN
ap-1177	194	73	,	,	PUNCT
ap-1177	194	74	m−1	m−1	PROPN
ap-1177	194	75	or	or	CCONJ
ap-1177	194	76	%	%	NOUN
ap-1177	194	77	·	·	PUNCT
ap-1177	194	78	m−1	m−1	PROPN
ap-1177	194	79	g	g	ADP
ap-1177	194	80	mass	mass	ADJ
ap-1177	194	81	flow	flow	NOUN
ap-1177	194	82	of	of	ADP
ap-1177	194	83	a	a	DET
ap-1177	194	84	material	material	NOUN
ap-1177	194	85	,	,	PUNCT
ap-1177	194	86	kg	kg	INTJ
ap-1177	194	87	·	·	PUNCT
ap-1177	194	88	sec−1	sec−1	NOUN
ap-1177	194	89	i	i	PROPN
ap-1177	194	90	,	,	PUNCT
ap-1177	194	91	j	j	PROPN
ap-1177	194	92	index	index	NOUN
ap-1177	194	93	of	of	ADP
ap-1177	194	94	state	state	PROPN
ap-1177	194	95	k	k	PROPN
ap-1177	194	96	time	time	NOUN
ap-1177	194	97	step	step	NOUN
ap-1177	194	98	,	,	PUNCT
ap-1177	194	99	sec	sec	PROPN
ap-1177	194	100	l	l	NOUN
ap-1177	194	101	device	device	NOUN
ap-1177	194	102	length	length	NOUN
ap-1177	194	103	,	,	PUNCT
ap-1177	194	104	m	m	VERB
ap-1177	194	105	l	l	NOUN
ap-1177	194	106	laplacian	laplacian	X
ap-1177	194	107	n	n	PRON
ap-1177	194	108	rotation	rotation	NOUN
ap-1177	194	109	speed	speed	NOUN
ap-1177	194	110	of	of	ADP
ap-1177	194	111	the	the	DET
ap-1177	194	112	grinder	grinder	NOUN
ap-1177	194	113	rotor	rotor	NOUN
ap-1177	194	114	,	,	PUNCT
ap-1177	194	115	sec−1	sec−1	PROPN
ap-1177	194	116	,	,	PUNCT
ap-1177	194	117	rpm	rpm	ADP
ap-1177	194	118	p	p	NOUN
ap-1177	194	119	matrix	matrix	NOUN
ap-1177	194	120	of	of	ADP
ap-1177	194	121	transition	transition	NOUN
ap-1177	194	122	pi	pi	NOUN
ap-1177	194	123	probability	probability	NOUN
ap-1177	194	124	of	of	ADP
ap-1177	194	125	particle	particle	NOUN
ap-1177	194	126	destruction	destruction	NOUN
ap-1177	194	127	for	for	ADP
ap-1177	194	128	the	the	DET
ap-1177	194	129	i	i	PROPN
ap-1177	194	130	-	-	PUNCT
ap-1177	194	131	th	th	X
ap-1177	194	132	fraction	fraction	NOUN
ap-1177	194	133	q	q	PROPN
ap-1177	194	134	volumetric	volumetric	NOUN
ap-1177	194	135	flow	flow	NOUN
ap-1177	194	136	rate	rate	NOUN
ap-1177	194	137	of	of	ADP
ap-1177	194	138	a	a	DET
ap-1177	194	139	crushed	crushed	ADJ
ap-1177	194	140	material	material	NOUN
ap-1177	194	141	,	,	PUNCT
ap-1177	195	1	m3	m3	PROPN
ap-1177	195	2	·	·	PUNCT
ap-1177	195	3	sec−1	sec−1	NOUN
ap-1177	195	4	v	v	NOUN
ap-1177	195	5	operating	operating	NOUN
ap-1177	195	6	volume	volume	NOUN
ap-1177	195	7	of	of	ADP
ap-1177	195	8	the	the	DET
ap-1177	195	9	grinder	grinder	NOUN
ap-1177	195	10	,	,	PUNCT
ap-1177	195	11	m3	m3	PROPN
ap-1177	195	12	v	v	ADP
ap-1177	195	13	linear	linear	ADJ
ap-1177	195	14	speed	speed	NOUN
ap-1177	195	15	of	of	ADP
ap-1177	195	16	a	a	DET
ap-1177	195	17	stream	stream	NOUN
ap-1177	195	18	of	of	ADP
ap-1177	195	19	material	material	NOUN
ap-1177	195	20	,	,	PUNCT
ap-1177	195	21	m	m	PROPN
ap-1177	195	22	·	·	PUNCT
ap-1177	195	23	sec−1	sec−1	NOUN
ap-1177	195	24	t	t	PROPN
ap-1177	195	25	time	time	NOUN
ap-1177	195	26	,	,	PUNCT
ap-1177	195	27	sec	sec	PROPN
ap-1177	195	28	x	x	SYM
ap-1177	195	29	variable	variable	ADJ
ap-1177	195	30	,	,	PUNCT
ap-1177	195	31	distance	distance	NOUN
ap-1177	195	32	coordinate	coordinate	NOUN
ap-1177	195	33	,	,	PUNCT
ap-1177	195	34	m	m	VERB
ap-1177	195	35	greek	greek	ADJ
ap-1177	195	36	letters	letter	NOUN
ap-1177	195	37	ϕij	ϕij	VERB
ap-1177	195	38	probability	probability	NOUN
ap-1177	195	39	of	of	ADP
ap-1177	195	40	formation	formation	NOUN
ap-1177	195	41	of	of	ADP
ap-1177	195	42	particles	particle	NOUN
ap-1177	195	43	of	of	ADP
ap-1177	195	44	the	the	DET
ap-1177	195	45	j	j	PROPN
ap-1177	195	46	-	-	PUNCT
ap-1177	195	47	th	th	VERB
ap-1177	195	48	fraction	fraction	NOUN
ap-1177	195	49	at	at	ADP
ap-1177	195	50	destruction	destruction	NOUN
ap-1177	195	51	of	of	ADP
ap-1177	195	52	larger	large	ADJ
ap-1177	195	53	particles	particle	NOUN
ap-1177	195	54	of	of	ADP
ap-1177	195	55	the	the	DET
ap-1177	195	56	i	i	PROPN
ap-1177	195	57	-	-	PUNCT
ap-1177	195	58	th	th	X
ap-1177	195	59	fraction	fraction	NOUN
ap-1177	195	60	π(k	π(k	PROPN
ap-1177	195	61	)	)	PUNCT
ap-1177	195	62	vector	vector	NOUN
ap-1177	195	63	of	of	ADP
ap-1177	195	64	state	state	NOUN
ap-1177	195	65	probabilities	probability	NOUN
ap-1177	195	66	in	in	ADP
ap-1177	195	67	time	time	NOUN
ap-1177	195	68	step	step	NOUN
ap-1177	195	69	k	k	PROPN
ap-1177	195	70	,	,	PUNCT
ap-1177	195	71	1	1	NUM
ap-1177	195	72	or	or	CCONJ
ap-1177	195	73	%	%	NOUN
ap-1177	195	74	π0	π0	NOUN
ap-1177	195	75	vector	vector	NOUN
ap-1177	195	76	of	of	ADP
ap-1177	195	77	initial	initial	ADJ
ap-1177	195	78	probability	probability	NOUN
ap-1177	195	79	distribution	distribution	NOUN
ap-1177	195	80	,	,	PUNCT
ap-1177	195	81	m−1	m−1	PROPN
ap-1177	195	82	,	,	PUNCT
ap-1177	195	83	1	1	NUM
ap-1177	195	84	or	or	CCONJ
ap-1177	195	85	%	%	NOUN
ap-1177	195	86	π(t	π(t	PROPN
ap-1177	195	87	,	,	PUNCT
ap-1177	195	88	x	x	NOUN
ap-1177	195	89	)	)	PUNCT
ap-1177	195	90	particle	particle	NOUN
ap-1177	195	91	size	size	NOUN
ap-1177	195	92	distribution	distribution	NOUN
ap-1177	195	93	density	density	NOUN
ap-1177	195	94	at	at	ADP
ap-1177	195	95	the	the	DET
ap-1177	195	96	moment	moment	NOUN
ap-1177	195	97	t	t	NOUN
ap-1177	195	98	at	at	ADP
ap-1177	195	99	passage	passage	NOUN
ap-1177	195	100	of	of	ADP
ap-1177	195	101	distance	distance	NOUN
ap-1177	195	102	x	x	X
ap-1177	195	103	,	,	PUNCT
ap-1177	195	104	m−1	m−1	PROPN
ap-1177	195	105	π∞	π∞	PROPN
ap-1177	195	106	stationary	stationary	ADJ
ap-1177	195	107	particle	particle	NOUN
ap-1177	195	108	size	size	NOUN
ap-1177	195	109	distribution	distribution	NOUN
ap-1177	195	110	density	density	NOUN
ap-1177	195	111	on	on	ADP
ap-1177	195	112	a	a	DET
ap-1177	195	113	device	device	NOUN
ap-1177	195	114	output	output	NOUN
ap-1177	195	115	,	,	PUNCT
ap-1177	195	116	m−1	m−1	PROPN
ap-1177	195	117	τ	τ	PROPN
ap-1177	195	118	residence	residence	NOUN
ap-1177	195	119	time	time	NOUN
ap-1177	195	120	,	,	PUNCT
ap-1177	195	121	sec	sec	PROPN
ap-1177	195	122	75	75	NUM