id	sid	tid	token	lemma	pos
hjic-828	1	1	hungarian	hungarian	ADJ
hjic-828	1	2	journal	journal	NOUN
hjic-828	1	3	of	of	ADP
hjic-828	1	4	industry	industry	NOUN
hjic-828	1	5	and	and	CCONJ
hjic-828	1	6	chemistry	chemistry	NOUN
hjic-828	1	7	vol	vol	NOUN
hjic-828	1	8	.	.	PUNCT
hjic-828	2	1	46(2	46(2	NOUN
hjic-828	2	2	)	)	PUNCT
hjic-828	3	1	pp	pp	ADP
hjic-828	3	2	.	.	PUNCT
hjic-828	4	1	19	19	NUM
hjic-828	4	2	-	-	SYM
hjic-828	4	3	25	25	NUM
hjic-828	4	4	(	(	PUNCT
hjic-828	4	5	2018	2018	NUM
hjic-828	4	6	)	)	PUNCT
hjic-828	4	7	hjic.mk.uni-pannon.hu	hjic.mk.uni-pannon.hu	NOUN
hjic-828	4	8	doi	doi	NOUN
hjic-828	4	9	:	:	PUNCT
hjic-828	4	10	10.1515	10.1515	NUM
hjic-828	4	11	/	/	SYM
hjic-828	4	12	hjic-2018	hjic-2018	NOUN
hjic-828	4	13	-	-	PUNCT
hjic-828	4	14	0013	0013	NUM
hjic-828	4	15	strong	strong	ADJ
hjic-828	4	16	reachability	reachability	NOUN
hjic-828	4	17	of	of	ADP
hjic-828	4	18	reactions	reaction	NOUN
hjic-828	4	19	with	with	ADP
hjic-828	4	20	reversible	reversible	ADJ
hjic-828	4	21	steps	step	NOUN
hjic-828	4	22	eszter	eszter	NOUN
hjic-828	4	23	virágh	virágh	NOUN
hjic-828	4	24	∗1	∗1	PROPN
hjic-828	4	25	and	and	CCONJ
hjic-828	4	26	bálint	bálint	PROPN
hjic-828	4	27	kiss1	kiss1	PROPN
hjic-828	5	1	1department	1department	NUM
hjic-828	5	2	of	of	ADP
hjic-828	5	3	control	control	NOUN
hjic-828	5	4	engineering	engineering	NOUN
hjic-828	5	5	and	and	CCONJ
hjic-828	5	6	information	information	NOUN
hjic-828	5	7	technology	technology	NOUN
hjic-828	5	8	,	,	PUNCT
hjic-828	5	9	budapest	budapest	PROPN
hjic-828	5	10	university	university	PROPN
hjic-828	5	11	of	of	ADP
hjic-828	5	12	technology	technology	NOUN
hjic-828	5	13	and	and	CCONJ
hjic-828	5	14	economics	economic	NOUN
hjic-828	5	15	,	,	PUNCT
hjic-828	5	16	magyar	magyar	PROPN
hjic-828	5	17	tudósok	tudósok	PROPN
hjic-828	5	18	krt	krt	PROPN
hjic-828	5	19	.	.	PUNCT
hjic-828	6	1	2	2	NUM
hjic-828	6	2	,	,	PUNCT
hjic-828	6	3	budapest	budapest	ADJ
hjic-828	6	4	,	,	PUNCT
hjic-828	6	5	1117	1117	NUM
hjic-828	6	6	,	,	PUNCT
hjic-828	6	7	hungary	hungary	VERB
hjic-828	6	8	the	the	DET
hjic-828	6	9	controllability	controllability	NOUN
hjic-828	6	10	of	of	ADP
hjic-828	6	11	reactions	reaction	NOUN
hjic-828	6	12	is	be	AUX
hjic-828	6	13	an	an	DET
hjic-828	6	14	important	important	ADJ
hjic-828	6	15	issue	issue	NOUN
hjic-828	6	16	in	in	ADP
hjic-828	6	17	the	the	DET
hjic-828	6	18	chemical	chemical	NOUN
hjic-828	6	19	industry	industry	NOUN
hjic-828	6	20	.	.	PUNCT
hjic-828	7	1	the	the	DET
hjic-828	7	2	control	control	NOUN
hjic-828	7	3	of	of	ADP
hjic-828	7	4	reactions	reaction	NOUN
hjic-828	7	5	is	be	AUX
hjic-828	7	6	of	of	ADP
hjic-828	7	7	great	great	ADJ
hjic-828	7	8	practical	practical	ADJ
hjic-828	7	9	interest	interest	NOUN
hjic-828	7	10	in	in	ADP
hjic-828	7	11	order	order	NOUN
hjic-828	7	12	to	to	PART
hjic-828	7	13	ensure	ensure	VERB
hjic-828	7	14	the	the	DET
hjic-828	7	15	energyand	energyand	ADJ
hjic-828	7	16	time	time	NOUN
hjic-828	7	17	-	-	PUNCT
hjic-828	7	18	efficient	efficient	ADJ
hjic-828	7	19	production	production	NOUN
hjic-828	7	20	of	of	ADP
hjic-828	7	21	compounds	compound	NOUN
hjic-828	7	22	.	.	PUNCT
hjic-828	8	1	this	this	DET
hjic-828	8	2	paper	paper	NOUN
hjic-828	8	3	studies	study	VERB
hjic-828	8	4	the	the	DET
hjic-828	8	5	dynamical	dynamical	ADJ
hjic-828	8	6	models	model	NOUN
hjic-828	8	7	of	of	ADP
hjic-828	8	8	some	some	DET
hjic-828	8	9	chemical	chemical	ADJ
hjic-828	8	10	reactions	reaction	NOUN
hjic-828	8	11	in	in	ADP
hjic-828	8	12	order	order	NOUN
hjic-828	8	13	to	to	PART
hjic-828	8	14	verify	verify	VERB
hjic-828	8	15	their	their	PRON
hjic-828	8	16	controllability	controllability	NOUN
hjic-828	8	17	with	with	ADP
hjic-828	8	18	regard	regard	NOUN
hjic-828	8	19	to	to	ADP
hjic-828	8	20	a	a	DET
hjic-828	8	21	candidate	candidate	NOUN
hjic-828	8	22	input	input	NOUN
hjic-828	8	23	signal	signal	NOUN
hjic-828	8	24	,	,	PUNCT
hjic-828	8	25	namely	namely	ADV
hjic-828	8	26	the	the	DET
hjic-828	8	27	change	change	NOUN
hjic-828	8	28	in	in	ADP
hjic-828	8	29	the	the	DET
hjic-828	8	30	ambient	ambient	ADJ
hjic-828	8	31	temperature	temperature	NOUN
hjic-828	8	32	of	of	ADP
hjic-828	8	33	a	a	DET
hjic-828	8	34	reaction	reaction	NOUN
hjic-828	8	35	.	.	PUNCT
hjic-828	9	1	keywords	keyword	NOUN
hjic-828	9	2	:	:	PUNCT
hjic-828	9	3	reversible	reversible	ADJ
hjic-828	9	4	reaction	reaction	NOUN
hjic-828	9	5	,	,	PUNCT
hjic-828	9	6	strong	strong	ADJ
hjic-828	9	7	reachability	reachability	NOUN
hjic-828	9	8	,	,	PUNCT
hjic-828	9	9	controllability	controllability	NOUN
hjic-828	9	10	,	,	PUNCT
hjic-828	9	11	lie	lie	NOUN
hjic-828	9	12	algebra	algebra	NOUN
hjic-828	9	13	1	1	NUM
hjic-828	9	14	.	.	PUNCT
hjic-828	10	1	introduction	introduction	NOUN
hjic-828	10	2	chemical	chemical	NOUN
hjic-828	10	3	reactions	reaction	NOUN
hjic-828	10	4	are	be	AUX
hjic-828	10	5	widely	widely	ADV
hjic-828	10	6	applied	apply	VERB
hjic-828	10	7	during	during	ADP
hjic-828	10	8	the	the	DET
hjic-828	10	9	synthesis	synthesis	NOUN
hjic-828	10	10	and	and	CCONJ
hjic-828	10	11	transformation	transformation	NOUN
hjic-828	10	12	processes	process	NOUN
hjic-828	10	13	of	of	ADP
hjic-828	10	14	organic	organic	ADJ
hjic-828	10	15	compounds	compound	NOUN
hjic-828	10	16	.	.	PUNCT
hjic-828	11	1	the	the	DET
hjic-828	11	2	reaction	reaction	NOUN
hjic-828	11	3	mechanism	mechanism	NOUN
hjic-828	11	4	and	and	CCONJ
hjic-828	11	5	resulting	result	VERB
hjic-828	11	6	products	product	NOUN
hjic-828	11	7	depend	depend	VERB
hjic-828	11	8	mainly	mainly	ADV
hjic-828	11	9	on	on	ADP
hjic-828	11	10	the	the	DET
hjic-828	11	11	concentrations	concentration	NOUN
hjic-828	11	12	of	of	ADP
hjic-828	11	13	the	the	DET
hjic-828	11	14	species	specie	NOUN
hjic-828	11	15	,	,	PUNCT
hjic-828	11	16	the	the	DET
hjic-828	11	17	catalyst	catalyst	NOUN
hjic-828	11	18	used	use	VERB
hjic-828	11	19	,	,	PUNCT
hjic-828	11	20	the	the	DET
hjic-828	11	21	ambient	ambient	ADJ
hjic-828	11	22	temperature	temperature	NOUN
hjic-828	11	23	,	,	PUNCT
hjic-828	11	24	and	and	CCONJ
hjic-828	11	25	the	the	DET
hjic-828	11	26	ambient	ambient	ADJ
hjic-828	11	27	pressure	pressure	NOUN
hjic-828	11	28	.	.	PUNCT
hjic-828	12	1	if	if	SCONJ
hjic-828	12	2	the	the	DET
hjic-828	12	3	values	value	NOUN
hjic-828	12	4	of	of	ADP
hjic-828	12	5	these	these	DET
hjic-828	12	6	parameters	parameter	NOUN
hjic-828	12	7	are	be	AUX
hjic-828	12	8	changed	change	VERB
hjic-828	12	9	,	,	PUNCT
hjic-828	12	10	one	one	PRON
hjic-828	12	11	can	can	AUX
hjic-828	12	12	obtain	obtain	VERB
hjic-828	12	13	different	different	ADJ
hjic-828	12	14	products	product	NOUN
hjic-828	12	15	from	from	ADP
hjic-828	12	16	the	the	DET
hjic-828	12	17	original	original	ADJ
hjic-828	12	18	ones	one	NOUN
hjic-828	12	19	but	but	CCONJ
hjic-828	12	20	it	it	PRON
hjic-828	12	21	is	be	AUX
hjic-828	12	22	also	also	ADV
hjic-828	12	23	possible	possible	ADJ
hjic-828	12	24	to	to	PART
hjic-828	12	25	increase	increase	VERB
hjic-828	12	26	the	the	DET
hjic-828	12	27	productivity	productivity	NOUN
hjic-828	12	28	and	and	CCONJ
hjic-828	12	29	energyefficiency	energyefficiency	NOUN
hjic-828	12	30	of	of	ADP
hjic-828	12	31	the	the	DET
hjic-828	12	32	reaction	reaction	NOUN
hjic-828	12	33	.	.	PUNCT
hjic-828	13	1	hence	hence	ADV
hjic-828	13	2	the	the	DET
hjic-828	13	3	application	application	NOUN
hjic-828	13	4	of	of	ADP
hjic-828	13	5	a	a	DET
hjic-828	13	6	proper	proper	ADJ
hjic-828	13	7	feedback	feedback	NOUN
hjic-828	13	8	law	law	NOUN
hjic-828	13	9	to	to	PART
hjic-828	13	10	ensure	ensure	VERB
hjic-828	13	11	the	the	DET
hjic-828	13	12	latter	latter	ADJ
hjic-828	13	13	scenario	scenario	NOUN
hjic-828	13	14	may	may	AUX
hjic-828	13	15	be	be	AUX
hjic-828	13	16	envisaged	envisage	VERB
hjic-828	13	17	.	.	PUNCT
hjic-828	14	1	a	a	DET
hjic-828	14	2	study	study	NOUN
hjic-828	14	3	of	of	ADP
hjic-828	14	4	the	the	DET
hjic-828	14	5	local	local	ADJ
hjic-828	14	6	controllability	controllability	NOUN
hjic-828	14	7	by	by	ADP
hjic-828	14	8	considering	consider	VERB
hjic-828	14	9	the	the	DET
hjic-828	14	10	reaction	reaction	NOUN
hjic-828	14	11	rate	rate	NOUN
hjic-828	14	12	coefficient	coefficient	NOUN
hjic-828	14	13	as	as	ADP
hjic-828	14	14	an	an	DET
hjic-828	14	15	input	input	NOUN
hjic-828	14	16	has	have	AUX
hjic-828	14	17	been	be	AUX
hjic-828	14	18	presented	present	VERB
hjic-828	14	19	in	in	ADP
hjic-828	14	20	ref	ref	NOUN
hjic-828	14	21	.	.	PUNCT
hjic-828	15	1	[	[	X
hjic-828	15	2	1	1	NUM
hjic-828	15	3	]	]	PUNCT
hjic-828	15	4	.	.	PUNCT
hjic-828	16	1	the	the	DET
hjic-828	16	2	authors	author	NOUN
hjic-828	16	3	of	of	ADP
hjic-828	16	4	ref	ref	NOUN
hjic-828	16	5	.	.	PUNCT
hjic-828	17	1	[	[	X
hjic-828	17	2	2	2	X
hjic-828	17	3	]	]	PUNCT
hjic-828	17	4	have	have	AUX
hjic-828	17	5	also	also	ADV
hjic-828	17	6	considered	consider	VERB
hjic-828	17	7	the	the	DET
hjic-828	17	8	reaction	reaction	NOUN
hjic-828	17	9	rate	rate	NOUN
hjic-828	17	10	coefficient	coefficient	NOUN
hjic-828	17	11	as	as	ADP
hjic-828	17	12	an	an	DET
hjic-828	17	13	input	input	NOUN
hjic-828	17	14	and	and	CCONJ
hjic-828	17	15	extended	extend	VERB
hjic-828	17	16	the	the	DET
hjic-828	17	17	results	result	NOUN
hjic-828	17	18	by	by	ADP
hjic-828	17	19	claiming	claim	VERB
hjic-828	17	20	that	that	SCONJ
hjic-828	17	21	global	global	ADJ
hjic-828	17	22	controllability	controllability	NOUN
hjic-828	17	23	holds	hold	VERB
hjic-828	17	24	.	.	PUNCT
hjic-828	18	1	the	the	DET
hjic-828	18	2	controllability	controllability	NOUN
hjic-828	18	3	of	of	ADP
hjic-828	18	4	another	another	DET
hjic-828	18	5	control	control	NOUN
hjic-828	18	6	input	input	NOUN
hjic-828	18	7	,	,	PUNCT
hjic-828	18	8	namely	namely	ADV
hjic-828	18	9	the	the	DET
hjic-828	18	10	dilution	dilution	NOUN
hjic-828	18	11	ratio	ratio	NOUN
hjic-828	18	12	,	,	PUNCT
hjic-828	18	13	is	be	AUX
hjic-828	18	14	studied	study	VERB
hjic-828	18	15	in	in	ADP
hjic-828	18	16	ref	ref	NOUN
hjic-828	18	17	.	.	PUNCT
hjic-828	19	1	[	[	X
hjic-828	19	2	3	3	NUM
hjic-828	19	3	]	]	PUNCT
hjic-828	19	4	.	.	PUNCT
hjic-828	20	1	general	general	ADJ
hjic-828	20	2	conditions	condition	NOUN
hjic-828	20	3	for	for	ADP
hjic-828	20	4	strong	strong	ADJ
hjic-828	20	5	reachability	reachability	NOUN
hjic-828	20	6	in	in	ADP
hjic-828	20	7	the	the	DET
hjic-828	20	8	case	case	NOUN
hjic-828	20	9	of	of	ADP
hjic-828	20	10	a	a	DET
hjic-828	20	11	temperature	temperature	NOUN
hjic-828	20	12	input	input	NOUN
hjic-828	20	13	were	be	AUX
hjic-828	20	14	reported	report	VERB
hjic-828	20	15	earlier	early	ADV
hjic-828	20	16	in	in	ADP
hjic-828	20	17	ref	ref	NOUN
hjic-828	20	18	.	.	PUNCT
hjic-828	21	1	[	[	X
hjic-828	21	2	4	4	NUM
hjic-828	21	3	]	]	PUNCT
hjic-828	21	4	.	.	PUNCT
hjic-828	22	1	moreover	moreover	ADV
hjic-828	22	2	,	,	PUNCT
hjic-828	22	3	the	the	DET
hjic-828	22	4	conditions	condition	NOUN
hjic-828	22	5	of	of	ADP
hjic-828	22	6	strong	strong	ADJ
hjic-828	22	7	reachability	reachability	NOUN
hjic-828	22	8	for	for	ADP
hjic-828	22	9	polymer	polymer	NOUN
hjic-828	22	10	electrolyte	electrolyte	ADJ
hjic-828	22	11	membrane	membrane	NOUN
hjic-828	22	12	fuel	fuel	NOUN
hjic-828	22	13	cells	cell	NOUN
hjic-828	22	14	(	(	PUNCT
hjic-828	22	15	pemfc	pemfc	NOUN
hjic-828	22	16	)	)	PUNCT
hjic-828	22	17	,	,	PUNCT
hjic-828	22	18	controlled	control	VERB
hjic-828	22	19	by	by	ADP
hjic-828	22	20	concentrations	concentration	NOUN
hjic-828	22	21	,	,	PUNCT
hjic-828	22	22	have	have	AUX
hjic-828	22	23	also	also	ADV
hjic-828	22	24	been	be	AUX
hjic-828	22	25	analysed	analyse	VERB
hjic-828	22	26	.	.	PUNCT
hjic-828	23	1	the	the	DET
hjic-828	23	2	motivation	motivation	NOUN
hjic-828	23	3	to	to	PART
hjic-828	23	4	consider	consider	VERB
hjic-828	23	5	the	the	DET
hjic-828	23	6	concentrations	concentration	NOUN
hjic-828	23	7	and	and	CCONJ
hjic-828	23	8	temperature	temperature	NOUN
hjic-828	23	9	(	(	PUNCT
hjic-828	23	10	or	or	CCONJ
hjic-828	23	11	their	their	PRON
hjic-828	23	12	rate	rate	NOUN
hjic-828	23	13	of	of	ADP
hjic-828	23	14	change	change	NOUN
hjic-828	23	15	)	)	PUNCT
hjic-828	23	16	as	as	SCONJ
hjic-828	23	17	input	input	NOUN
hjic-828	23	18	signals	signal	NOUN
hjic-828	23	19	is	be	AUX
hjic-828	23	20	due	due	ADJ
hjic-828	23	21	to	to	ADP
hjic-828	23	22	the	the	DET
hjic-828	23	23	fact	fact	NOUN
hjic-828	23	24	that	that	SCONJ
hjic-828	23	25	these	these	DET
hjic-828	23	26	quantities	quantity	NOUN
hjic-828	23	27	can	can	AUX
hjic-828	23	28	be	be	AUX
hjic-828	23	29	easily	easily	ADV
hjic-828	23	30	modified	modify	VERB
hjic-828	23	31	efficiently	efficiently	ADV
hjic-828	23	32	by	by	ADP
hjic-828	23	33	industrial	industrial	ADJ
hjic-828	23	34	equipment	equipment	NOUN
hjic-828	23	35	that	that	PRON
hjic-828	23	36	is	be	AUX
hjic-828	23	37	currently	currently	ADV
hjic-828	23	38	in	in	ADP
hjic-828	23	39	use	use	NOUN
hjic-828	23	40	,	,	PUNCT
hjic-828	23	41	thus	thus	ADV
hjic-828	23	42	these	these	DET
hjic-828	23	43	results	result	NOUN
hjic-828	23	44	can	can	AUX
hjic-828	23	45	be	be	AUX
hjic-828	23	46	used	use	VERB
hjic-828	23	47	as	as	ADP
hjic-828	23	48	a	a	DET
hjic-828	23	49	basis	basis	NOUN
hjic-828	23	50	to	to	PART
hjic-828	23	51	establish	establish	VERB
hjic-828	23	52	control	control	NOUN
hjic-828	23	53	laws	law	NOUN
hjic-828	23	54	to	to	PART
hjic-828	23	55	stabilize	stabilize	VERB
hjic-828	23	56	a	a	DET
hjic-828	23	57	desired	desire	VERB
hjic-828	23	58	reaction	reaction	NOUN
hjic-828	23	59	performance	performance	NOUN
hjic-828	23	60	without	without	ADP
hjic-828	23	61	major	major	ADJ
hjic-828	23	62	changes	change	NOUN
hjic-828	23	63	being	be	AUX
hjic-828	23	64	made	make	VERB
hjic-828	23	65	to	to	ADP
hjic-828	23	66	the	the	DET
hjic-828	23	67	equipment	equipment	NOUN
hjic-828	23	68	used	use	VERB
hjic-828	23	69	in	in	ADP
hjic-828	23	70	production	production	NOUN
hjic-828	23	71	.	.	PUNCT
hjic-828	24	1	the	the	DET
hjic-828	24	2	oxidation	oxidation	NOUN
hjic-828	24	3	of	of	ADP
hjic-828	24	4	acetone	acetone	NOUN
hjic-828	24	5	with	with	ADP
hjic-828	24	6	hydroxylamine	hydroxylamine	NOUN
hjic-828	24	7	(	(	PUNCT
hjic-828	24	8	the	the	DET
hjic-828	24	9	oximation	oximation	NOUN
hjic-828	24	10	reaction	reaction	NOUN
hjic-828	24	11	)	)	PUNCT
hjic-828	24	12	was	be	AUX
hjic-828	24	13	investigated	investigate	VERB
hjic-828	24	14	by	by	ADP
hjic-828	24	15	raman	raman	NOUN
hjic-828	24	16	spectroscopy	spectroscopy	NOUN
hjic-828	24	17	[	[	X
hjic-828	24	18	5	5	NUM
hjic-828	24	19	]	]	PUNCT
hjic-828	24	20	.	.	PUNCT
hjic-828	25	1	knowing	know	VERB
hjic-828	25	2	the	the	DET
hjic-828	25	3	mecha∗correspondence	mecha∗correspondence	NOUN
hjic-828	25	4	:	:	PUNCT
hjic-828	25	5	viragh.eszter@gmail.hu	viragh.eszter@gmail.hu	PROPN
hjic-828	25	6	nism	nism	PROPN
hjic-828	25	7	,	,	PUNCT
hjic-828	25	8	the	the	DET
hjic-828	25	9	controllability	controllability	NOUN
hjic-828	25	10	is	be	AUX
hjic-828	25	11	important	important	ADJ
hjic-828	25	12	for	for	ADP
hjic-828	25	13	this	this	DET
hjic-828	25	14	reaction	reaction	NOUN
hjic-828	25	15	.	.	PUNCT
hjic-828	26	1	throughout	throughout	ADP
hjic-828	26	2	this	this	DET
hjic-828	26	3	paper	paper	NOUN
hjic-828	26	4	,	,	PUNCT
hjic-828	26	5	the	the	DET
hjic-828	26	6	candidate	candidate	NOUN
hjic-828	26	7	variable	variable	NOUN
hjic-828	26	8	for	for	ADP
hjic-828	26	9	control	control	NOUN
hjic-828	26	10	is	be	AUX
hjic-828	26	11	the	the	DET
hjic-828	26	12	rate	rate	NOUN
hjic-828	26	13	of	of	ADP
hjic-828	26	14	change	change	NOUN
hjic-828	26	15	in	in	ADP
hjic-828	26	16	the	the	DET
hjic-828	26	17	temperature	temperature	NOUN
hjic-828	26	18	ṫ	ṫ	NOUN
hjic-828	26	19	,	,	PUNCT
hjic-828	26	20	i.e.	i.e.	X
hjic-828	26	21	the	the	DET
hjic-828	26	22	first	first	ADJ
hjic-828	26	23	time	time	NOUN
hjic-828	26	24	derivative	derivative	NOUN
hjic-828	26	25	of	of	ADP
hjic-828	26	26	the	the	DET
hjic-828	26	27	ambient	ambient	ADJ
hjic-828	26	28	temperature	temperature	NOUN
hjic-828	26	29	.	.	PUNCT
hjic-828	27	1	from	from	ADP
hjic-828	27	2	a	a	DET
hjic-828	27	3	practical	practical	ADJ
hjic-828	27	4	point	point	NOUN
hjic-828	27	5	of	of	ADP
hjic-828	27	6	view	view	NOUN
hjic-828	27	7	,	,	PUNCT
hjic-828	27	8	this	this	PRON
hjic-828	27	9	is	be	AUX
hjic-828	27	10	a	a	DET
hjic-828	27	11	simplification	simplification	NOUN
hjic-828	27	12	since	since	SCONJ
hjic-828	27	13	the	the	DET
hjic-828	27	14	variable	variable	NOUN
hjic-828	27	15	which	which	PRON
hjic-828	27	16	can	can	AUX
hjic-828	27	17	be	be	AUX
hjic-828	27	18	changed	change	VERB
hjic-828	27	19	externally	externally	ADV
hjic-828	27	20	,	,	PUNCT
hjic-828	27	21	denoted	denote	VERB
hjic-828	27	22	by	by	ADP
hjic-828	27	23	u	u	NOUN
hjic-828	27	24	,	,	PUNCT
hjic-828	27	25	is	be	AUX
hjic-828	27	26	not	not	PART
hjic-828	27	27	ṫ	ṫ	PROPN
hjic-828	27	28	but	but	CCONJ
hjic-828	27	29	an	an	DET
hjic-828	27	30	algebraic	algebraic	ADJ
hjic-828	27	31	expression	expression	NOUN
hjic-828	27	32	involving	involve	VERB
hjic-828	27	33	u	u	NOUN
hjic-828	27	34	and	and	CCONJ
hjic-828	27	35	other	other	ADJ
hjic-828	27	36	variables	variable	NOUN
hjic-828	27	37	of	of	ADP
hjic-828	27	38	the	the	DET
hjic-828	27	39	system	system	NOUN
hjic-828	27	40	as	as	ADV
hjic-828	27	41	well	well	ADV
hjic-828	27	42	.	.	PUNCT
hjic-828	28	1	for	for	ADP
hjic-828	28	2	the	the	DET
hjic-828	28	3	dynamics	dynamic	NOUN
hjic-828	28	4	considered	consider	VERB
hjic-828	28	5	in	in	ADP
hjic-828	28	6	this	this	DET
hjic-828	28	7	paper	paper	NOUN
hjic-828	28	8	it	it	PRON
hjic-828	28	9	is	be	AUX
hjic-828	28	10	always	always	ADV
hjic-828	28	11	possible	possible	ADJ
hjic-828	28	12	,	,	PUNCT
hjic-828	28	13	however	however	ADV
hjic-828	28	14	,	,	PUNCT
hjic-828	28	15	to	to	PART
hjic-828	28	16	obtain	obtain	VERB
hjic-828	28	17	the	the	DET
hjic-828	28	18	values	value	NOUN
hjic-828	28	19	of	of	ADP
hjic-828	28	20	u	u	NOUN
hjic-828	28	21	as	as	ADP
hjic-828	28	22	a	a	DET
hjic-828	28	23	function	function	NOUN
hjic-828	28	24	of	of	ADP
hjic-828	28	25	ṫ	ṫ	PROPN
hjic-828	28	26	and	and	CCONJ
hjic-828	28	27	other	other	ADJ
hjic-828	28	28	state	state	NOUN
hjic-828	28	29	variables	variable	NOUN
hjic-828	28	30	.	.	PUNCT
hjic-828	29	1	the	the	DET
hjic-828	29	2	remaining	remain	VERB
hjic-828	29	3	part	part	NOUN
hjic-828	29	4	of	of	ADP
hjic-828	29	5	this	this	DET
hjic-828	29	6	paper	paper	NOUN
hjic-828	29	7	is	be	AUX
hjic-828	29	8	organized	organize	VERB
hjic-828	29	9	as	as	SCONJ
hjic-828	29	10	follows	follow	VERB
hjic-828	29	11	.	.	PUNCT
hjic-828	30	1	sec	sec	PROPN
hjic-828	30	2	.	.	PROPN
hjic-828	30	3	2	2	NUM
hjic-828	30	4	briefly	briefly	NOUN
hjic-828	30	5	revisits	revisit	VERB
hjic-828	30	6	the	the	DET
hjic-828	30	7	concepts	concept	NOUN
hjic-828	30	8	related	relate	VERB
hjic-828	30	9	to	to	ADP
hjic-828	30	10	the	the	DET
hjic-828	30	11	strong	strong	ADJ
hjic-828	30	12	reachability	reachability	NOUN
hjic-828	30	13	of	of	ADP
hjic-828	30	14	nonlinear	nonlinear	ADJ
hjic-828	30	15	dynamical	dynamical	ADJ
hjic-828	30	16	systems	system	NOUN
hjic-828	30	17	and	and	CCONJ
hjic-828	30	18	conditions	condition	NOUN
hjic-828	30	19	of	of	ADP
hjic-828	30	20	strong	strong	ADJ
hjic-828	30	21	reachability	reachability	NOUN
hjic-828	30	22	.	.	PUNCT
hjic-828	31	1	the	the	DET
hjic-828	31	2	differential	differential	ADJ
hjic-828	31	3	equations	equation	NOUN
hjic-828	31	4	describing	describe	VERB
hjic-828	31	5	the	the	DET
hjic-828	31	6	dynamics	dynamic	NOUN
hjic-828	31	7	of	of	ADP
hjic-828	31	8	reactions	reaction	NOUN
hjic-828	31	9	are	be	AUX
hjic-828	31	10	presented	present	VERB
hjic-828	31	11	so	so	SCONJ
hjic-828	31	12	that	that	SCONJ
hjic-828	31	13	the	the	DET
hjic-828	31	14	rate	rate	NOUN
hjic-828	31	15	of	of	ADP
hjic-828	31	16	change	change	NOUN
hjic-828	31	17	in	in	ADP
hjic-828	31	18	temperature	temperature	NOUN
hjic-828	31	19	is	be	AUX
hjic-828	31	20	considered	consider	VERB
hjic-828	31	21	as	as	ADP
hjic-828	31	22	the	the	DET
hjic-828	31	23	controlled	control	VERB
hjic-828	31	24	input	input	NOUN
hjic-828	31	25	in	in	ADP
hjic-828	31	26	sec	sec	PROPN
hjic-828	31	27	.	.	PROPN
hjic-828	32	1	3	3	X
hjic-828	32	2	.	.	X
hjic-828	32	3	in	in	ADP
hjic-828	32	4	sec	sec	PROPN
hjic-828	32	5	.	.	PROPN
hjic-828	32	6	4	4	NUM
hjic-828	32	7	the	the	DET
hjic-828	32	8	strong	strong	ADJ
hjic-828	32	9	reachability	reachability	NOUN
hjic-828	32	10	of	of	ADP
hjic-828	32	11	the	the	DET
hjic-828	32	12	oximation	oximation	NOUN
hjic-828	32	13	reaction	reaction	NOUN
hjic-828	32	14	is	be	AUX
hjic-828	32	15	studied	study	VERB
hjic-828	32	16	.	.	PUNCT
hjic-828	33	1	the	the	DET
hjic-828	33	2	systems	system	NOUN
hjic-828	33	3	in	in	ADP
hjic-828	33	4	the	the	DET
hjic-828	33	5	case	case	NOUN
hjic-828	33	6	of	of	ADP
hjic-828	33	7	acidic	acidic	ADJ
hjic-828	33	8	medium	medium	NOUN
hjic-828	33	9	in	in	ADP
hjic-828	33	10	subsection	subsection	NOUN
hjic-828	33	11	4.1	4.1	NUM
hjic-828	33	12	and	and	CCONJ
hjic-828	33	13	in	in	ADP
hjic-828	33	14	weakly	weakly	ADJ
hjic-828	33	15	basic	basic	ADJ
hjic-828	33	16	medium	medium	NOUN
hjic-828	33	17	in	in	ADP
hjic-828	33	18	subsection	subsection	NOUN
hjic-828	33	19	4.2	4.2	NUM
hjic-828	33	20	are	be	AUX
hjic-828	33	21	analyzed	analyze	VERB
hjic-828	33	22	.	.	PUNCT
hjic-828	34	1	in	in	ADP
hjic-828	34	2	ref	ref	NOUN
hjic-828	34	3	.	.	PUNCT
hjic-828	35	1	[	[	X
hjic-828	35	2	4	4	X
hjic-828	35	3	]	]	PUNCT
hjic-828	35	4	a	a	DET
hjic-828	35	5	sufficient	sufficient	ADJ
hjic-828	35	6	condition	condition	NOUN
hjic-828	35	7	for	for	ADP
hjic-828	35	8	strong	strong	ADJ
hjic-828	35	9	reachability	reachability	NOUN
hjic-828	35	10	was	be	AUX
hjic-828	35	11	given	give	VERB
hjic-828	35	12	for	for	ADP
hjic-828	35	13	reactions	reaction	NOUN
hjic-828	35	14	with	with	ADP
hjic-828	35	15	general	general	ADJ
hjic-828	35	16	dynamics	dynamic	NOUN
hjic-828	35	17	.	.	PUNCT
hjic-828	36	1	in	in	ADP
hjic-828	36	2	sec	sec	PROPN
hjic-828	36	3	.	.	PROPN
hjic-828	36	4	5	5	NUM
hjic-828	36	5	,	,	PUNCT
hjic-828	36	6	the	the	DET
hjic-828	36	7	conditions	condition	NOUN
hjic-828	36	8	for	for	ADP
hjic-828	36	9	strong	strong	ADJ
hjic-828	36	10	reachability	reachability	NOUN
hjic-828	36	11	are	be	AUX
hjic-828	36	12	given	give	VERB
hjic-828	36	13	,	,	PUNCT
hjic-828	36	14	if	if	SCONJ
hjic-828	36	15	the	the	DET
hjic-828	36	16	reaction	reaction	NOUN
hjic-828	36	17	also	also	ADV
hjic-828	36	18	contains	contain	VERB
hjic-828	36	19	reversible	reversible	ADJ
hjic-828	36	20	steps	step	NOUN
hjic-828	36	21	.	.	PUNCT
hjic-828	37	1	in	in	ADP
hjic-828	37	2	the	the	DET
hjic-828	37	3	last	last	ADJ
hjic-828	37	4	section	section	NOUN
hjic-828	37	5	the	the	DET
hjic-828	37	6	conclusions	conclusion	NOUN
hjic-828	37	7	of	of	ADP
hjic-828	37	8	the	the	DET
hjic-828	37	9	paper	paper	NOUN
hjic-828	37	10	are	be	AUX
hjic-828	37	11	drawn	draw	VERB
hjic-828	37	12	.	.	PUNCT
hjic-828	38	1	2	2	X
hjic-828	38	2	.	.	X
hjic-828	38	3	study	study	NOUN
hjic-828	38	4	of	of	ADP
hjic-828	38	5	strong	strong	ADJ
hjic-828	38	6	reachability	reachability	NOUN
hjic-828	38	7	consider	consider	VERB
hjic-828	38	8	the	the	DET
hjic-828	38	9	following	follow	VERB
hjic-828	38	10	nonlinear	nonlinear	ADJ
hjic-828	38	11	dynamical	dynamical	ADJ
hjic-828	38	12	system	system	NOUN
hjic-828	38	13	,	,	PUNCT
hjic-828	38	14	given	give	VERB
hjic-828	38	15	by	by	ADP
hjic-828	38	16	the	the	DET
hjic-828	38	17	differential	differential	ADJ
hjic-828	38	18	equation	equation	NOUN
hjic-828	38	19	:	:	PUNCT
hjic-828	38	20	ξ̇	ξ̇	NOUN
hjic-828	38	21	=	=	SYM
hjic-828	38	22	f(ξ	f(ξ	NOUN
hjic-828	38	23	)	)	PUNCT
hjic-828	39	1	+	+	CCONJ
hjic-828	39	2	g(ξ)u	g(ξ)u	PROPN
hjic-828	39	3	,	,	PUNCT
hjic-828	39	4	ξ(0	ξ(0	NOUN
hjic-828	39	5	)	)	PUNCT
hjic-828	39	6	=	=	SYM
hjic-828	39	7	ξ∗	ξ∗	PROPN
hjic-828	39	8	∈	∈	PROPN
hjic-828	39	9	rn	rn	PROPN
hjic-828	39	10	,	,	PUNCT
hjic-828	39	11	(	(	PUNCT
hjic-828	39	12	1	1	X
hjic-828	39	13	)	)	PUNCT
hjic-828	39	14	where	where	SCONJ
hjic-828	39	15	f	f	X
hjic-828	39	16	,	,	PUNCT
hjic-828	39	17	g	g	PROPN
hjic-828	39	18	∈	∈	PROPN
hjic-828	39	19	c∞(rn	c∞(rn	PROPN
hjic-828	39	20	,	,	PUNCT
hjic-828	39	21	rn	rn	PROPN
hjic-828	39	22	)	)	PUNCT
hjic-828	39	23	are	be	AUX
hjic-828	39	24	smooth	smooth	ADJ
hjic-828	39	25	vector	vector	NOUN
hjic-828	39	26	fields	field	NOUN
hjic-828	39	27	and	and	CCONJ
hjic-828	39	28	u	u	NOUN
hjic-828	39	29	∈	∈	PROPN
hjic-828	39	30	r	r	NOUN
hjic-828	39	31	is	be	AUX
hjic-828	39	32	the	the	DET
hjic-828	39	33	control	control	NOUN
hjic-828	39	34	-	-	PUNCT
hjic-828	39	35	input	input	NOUN
hjic-828	39	36	variable	variable	NOUN
hjic-828	39	37	.	.	PUNCT
hjic-828	40	1	the	the	DET
hjic-828	40	2	vector	vector	NOUN
hjic-828	40	3	fields	field	NOUN
hjic-828	40	4	mailto:viragh.eszter@gmail.hu	mailto:viragh.eszter@gmail.hu	VERB
hjic-828	40	5	20	20	NUM
hjic-828	40	6	virágh	virágh	NOUN
hjic-828	40	7	and	and	CCONJ
hjic-828	40	8	kiss	kiss	VERB
hjic-828	40	9	f	f	PROPN
hjic-828	40	10	and	and	CCONJ
hjic-828	40	11	g	g	PROPN
hjic-828	40	12	are	be	AUX
hjic-828	40	13	often	often	ADV
hjic-828	40	14	referred	refer	VERB
hjic-828	40	15	to	to	ADP
hjic-828	40	16	as	as	ADP
hjic-828	40	17	drift	drift	NOUN
hjic-828	40	18	and	and	CCONJ
hjic-828	40	19	control	control	NOUN
hjic-828	40	20	vector	vector	NOUN
hjic-828	40	21	fields	field	NOUN
hjic-828	40	22	,	,	PUNCT
hjic-828	40	23	respectively	respectively	ADV
hjic-828	40	24	.	.	PUNCT
hjic-828	41	1	for	for	ADP
hjic-828	41	2	the	the	DET
hjic-828	41	3	sake	sake	NOUN
hjic-828	41	4	of	of	ADP
hjic-828	41	5	completeness	completeness	NOUN
hjic-828	41	6	,	,	PUNCT
hjic-828	41	7	let	let	VERB
hjic-828	41	8	us	we	PRON
hjic-828	41	9	revisit	revisit	VERB
hjic-828	41	10	some	some	DET
hjic-828	41	11	definitions	definition	NOUN
hjic-828	41	12	used	use	VERB
hjic-828	41	13	in	in	ADP
hjic-828	41	14	refs	ref	NOUN
hjic-828	41	15	.	.	PUNCT
hjic-828	42	1	[	[	X
hjic-828	42	2	4	4	NUM
hjic-828	42	3	,	,	PUNCT
hjic-828	42	4	6	6	NUM
hjic-828	42	5	]	]	PUNCT
hjic-828	42	6	.	.	PUNCT
hjic-828	43	1	definition	definition	NOUN
hjic-828	43	2	1	1	NUM
hjic-828	43	3	(	(	PUNCT
hjic-828	43	4	reachability	reachability	NOUN
hjic-828	43	5	set	set	NOUN
hjic-828	43	6	)	)	PUNCT
hjic-828	43	7	.	.	PUNCT
hjic-828	44	1	consider	consider	VERB
hjic-828	44	2	the	the	DET
hjic-828	44	3	system	system	NOUN
hjic-828	44	4	given	give	VERB
hjic-828	44	5	by	by	ADP
hjic-828	44	6	eq	eq	ADJ
hjic-828	44	7	.	.	PROPN
hjic-828	44	8	1	1	NUM
hjic-828	44	9	.	.	PUNCT
hjic-828	45	1	the	the	DET
hjic-828	45	2	set	set	PROPN
hjic-828	45	3	r(ξ∗	r(ξ∗	NOUN
hjic-828	45	4	,	,	PUNCT
hjic-828	45	5	t	t	PROPN
hjic-828	45	6	)	)	PUNCT
hjic-828	45	7	⊂	⊂	PROPN
hjic-828	45	8	rn	rn	PROPN
hjic-828	45	9	is	be	AUX
hjic-828	45	10	referred	refer	VERB
hjic-828	45	11	to	to	ADP
hjic-828	45	12	as	as	SCONJ
hjic-828	45	13	the	the	DET
hjic-828	45	14	reachability	reachability	NOUN
hjic-828	45	15	set	set	VERB
hjic-828	45	16	from	from	ADP
hjic-828	45	17	the	the	DET
hjic-828	45	18	point	point	NOUN
hjic-828	45	19	ξ∗	ξ∗	ADJ
hjic-828	45	20	at	at	ADP
hjic-828	45	21	time	time	NOUN
hjic-828	45	22	t	t	PROPN
hjic-828	45	23	and	and	CCONJ
hjic-828	45	24	it	it	PRON
hjic-828	45	25	is	be	AUX
hjic-828	45	26	the	the	DET
hjic-828	45	27	union	union	NOUN
hjic-828	45	28	of	of	ADP
hjic-828	45	29	values	value	NOUN
hjic-828	45	30	at	at	ADP
hjic-828	45	31	t	t	PROPN
hjic-828	45	32	of	of	ADP
hjic-828	45	33	the	the	DET
hjic-828	45	34	solutions	solution	NOUN
hjic-828	45	35	to	to	ADP
hjic-828	45	36	eq	eq	NOUN
hjic-828	45	37	.	.	PROPN
hjic-828	45	38	1	1	NUM
hjic-828	45	39	for	for	ADP
hjic-828	45	40	some	some	DET
hjic-828	45	41	admissible	admissible	ADJ
hjic-828	45	42	input	input	NOUN
hjic-828	45	43	function	function	NOUN
hjic-828	45	44	u	u	NOUN
hjic-828	45	45	with	with	ADP
hjic-828	45	46	the	the	DET
hjic-828	45	47	initial	initial	ADJ
hjic-828	45	48	condition	condition	NOUN
hjic-828	45	49	ξ(0	ξ(0	NOUN
hjic-828	45	50	)	)	PUNCT
hjic-828	46	1	=	=	PUNCT
hjic-828	46	2	ξ∗.	ξ∗.	NOUN
hjic-828	46	3	definition	definition	NOUN
hjic-828	46	4	2	2	NUM
hjic-828	46	5	(	(	PUNCT
hjic-828	46	6	strong	strong	ADJ
hjic-828	46	7	reachability	reachability	NOUN
hjic-828	46	8	)	)	PUNCT
hjic-828	46	9	.	.	PUNCT
hjic-828	47	1	the	the	DET
hjic-828	47	2	system	system	NOUN
hjic-828	47	3	eq	eq	NOUN
hjic-828	47	4	.	.	PROPN
hjic-828	47	5	1	1	NUM
hjic-828	47	6	is	be	AUX
hjic-828	47	7	referred	refer	VERB
hjic-828	47	8	to	to	ADP
hjic-828	47	9	as	as	ADV
hjic-828	47	10	strongly	strongly	ADV
hjic-828	47	11	reachable	reachable	ADJ
hjic-828	47	12	from	from	ADP
hjic-828	47	13	the	the	DET
hjic-828	47	14	point	point	NOUN
hjic-828	47	15	ξ∗	ξ∗	ADV
hjic-828	47	16	,	,	PUNCT
hjic-828	47	17	if	if	SCONJ
hjic-828	47	18	the	the	DET
hjic-828	47	19	setr(ξ∗	setr(ξ∗	NOUN
hjic-828	47	20	,	,	PUNCT
hjic-828	47	21	t	t	PROPN
hjic-828	47	22	)	)	PUNCT
hjic-828	47	23	has	have	VERB
hjic-828	47	24	an	an	DET
hjic-828	47	25	interior	interior	ADJ
hjic-828	47	26	point	point	NOUN
hjic-828	47	27	for	for	ADP
hjic-828	47	28	all	all	DET
hjic-828	47	29	t	t	PROPN
hjic-828	47	30	>	>	X
hjic-828	47	31	0	0	X
hjic-828	47	32	.	.	PUNCT
hjic-828	48	1	definition	definition	NOUN
hjic-828	48	2	3	3	NUM
hjic-828	48	3	(	(	PUNCT
hjic-828	48	4	lie	lie	NOUN
hjic-828	48	5	bracket	bracket	NOUN
hjic-828	48	6	)	)	PUNCT
hjic-828	48	7	.	.	PUNCT
hjic-828	49	1	suppose	suppose	VERB
hjic-828	49	2	that	that	SCONJ
hjic-828	49	3	f	f	PROPN
hjic-828	49	4	∈	∈	PROPN
hjic-828	49	5	c∞(rn	c∞(rn	PROPN
hjic-828	49	6	,	,	PUNCT
hjic-828	49	7	rn	rn	PROPN
hjic-828	49	8	)	)	PUNCT
hjic-828	49	9	and	and	CCONJ
hjic-828	49	10	g	g	PROPN
hjic-828	49	11	∈	∈	PROPN
hjic-828	49	12	c∞(rn	c∞(rn	PROPN
hjic-828	49	13	,	,	PUNCT
hjic-828	49	14	rn	rn	PROPN
hjic-828	49	15	)	)	PUNCT
hjic-828	49	16	,	,	PUNCT
hjic-828	49	17	then	then	ADV
hjic-828	49	18	the	the	DET
hjic-828	49	19	lie	lie	NOUN
hjic-828	49	20	bracket	bracket	NOUN
hjic-828	49	21	of	of	ADP
hjic-828	49	22	the	the	DET
hjic-828	49	23	vector	vector	NOUN
hjic-828	49	24	fields	field	NOUN
hjic-828	49	25	f	f	PROPN
hjic-828	49	26	and	and	CCONJ
hjic-828	49	27	g	g	PROPN
hjic-828	49	28	is	be	AUX
hjic-828	49	29	[	[	X
hjic-828	49	30	f	f	X
hjic-828	49	31	,	,	PUNCT
hjic-828	49	32	g	g	NOUN
hjic-828	49	33	]	]	X
hjic-828	49	34	=	=	SYM
hjic-828	49	35	dg	dg	X
hjic-828	49	36	f	f	PROPN
hjic-828	49	37	−df	−df	PROPN
hjic-828	49	38	g.	g.	PROPN
hjic-828	49	39	(	(	PUNCT
hjic-828	49	40	2	2	X
hjic-828	49	41	)	)	PUNCT
hjic-828	50	1	the	the	DET
hjic-828	50	2	operator	operator	NOUN
hjic-828	50	3	adng	adng	NOUN
hjic-828	50	4	f	f	PROPN
hjic-828	50	5	:	:	PUNCT
hjic-828	50	6	c∞(rn	c∞(rn	PROPN
hjic-828	50	7	,	,	PUNCT
hjic-828	50	8	rn	rn	PROPN
hjic-828	50	9	)	)	PUNCT
hjic-828	50	10	×	×	PROPN
hjic-828	50	11	c∞(rn	c∞(rn	PROPN
hjic-828	50	12	,	,	PUNCT
hjic-828	50	13	rn	rn	PROPN
hjic-828	50	14	)	)	PUNCT
hjic-828	50	15	→	→	SYM
hjic-828	50	16	c∞(rn	c∞(rn	PROPN
hjic-828	50	17	,	,	PUNCT
hjic-828	50	18	rn	rn	PROPN
hjic-828	50	19	)	)	PUNCT
hjic-828	50	20	is	be	AUX
hjic-828	50	21	defined	define	VERB
hjic-828	50	22	as	as	ADP
hjic-828	50	23	:	:	PUNCT
hjic-828	50	24	ad0	ad0	NOUN
hjic-828	50	25	gf	gf	PROPN
hjic-828	50	26	=	=	SYM
hjic-828	50	27	f	f	PROPN
hjic-828	50	28	,	,	PUNCT
hjic-828	50	29	adng	adng	NOUN
hjic-828	50	30	f	f	PROPN
hjic-828	50	31	=	=	PUNCT
hjic-828	51	1	[	[	X
hjic-828	51	2	g	g	NOUN
hjic-828	51	3	,	,	PUNCT
hjic-828	51	4	adn−1	adn−1	PROPN
hjic-828	51	5	g	g	PROPN
hjic-828	51	6	f	f	X
hjic-828	51	7	]	]	PUNCT
hjic-828	51	8	.	.	PUNCT
hjic-828	52	1	(	(	PUNCT
hjic-828	52	2	3	3	X
hjic-828	52	3	)	)	PUNCT
hjic-828	52	4	definition	definition	NOUN
hjic-828	52	5	4	4	NUM
hjic-828	52	6	(	(	PUNCT
hjic-828	52	7	lie	lie	NOUN
hjic-828	52	8	algebra	algebra	NOUN
hjic-828	52	9	)	)	PUNCT
hjic-828	52	10	.	.	PUNCT
hjic-828	53	1	consider	consider	VERB
hjic-828	53	2	the	the	DET
hjic-828	53	3	vector	vector	NOUN
hjic-828	53	4	fields	field	NOUN
hjic-828	53	5	f	f	NOUN
hjic-828	53	6	,	,	PUNCT
hjic-828	53	7	g	g	PROPN
hjic-828	53	8	∈	∈	PROPN
hjic-828	53	9	c∞(rn	c∞(rn	PROPN
hjic-828	53	10	,	,	PUNCT
hjic-828	53	11	rn	rn	PROPN
hjic-828	53	12	)	)	PUNCT
hjic-828	53	13	.	.	PUNCT
hjic-828	54	1	the	the	DET
hjic-828	54	2	lie	lie	NOUN
hjic-828	54	3	algebra	algebra	NOUN
hjic-828	54	4	generated	generate	VERB
hjic-828	54	5	by	by	ADP
hjic-828	54	6	f	f	PROPN
hjic-828	54	7	and	and	CCONJ
hjic-828	54	8	g	g	PROPN
hjic-828	54	9	is	be	AUX
hjic-828	54	10	denoted	denote	VERB
hjic-828	54	11	by	by	ADP
hjic-828	54	12	λ	λ	PROPN
hjic-828	54	13	=	=	SYM
hjic-828	54	14	lie(f	lie(f	PROPN
hjic-828	54	15	,	,	PUNCT
hjic-828	54	16	g	g	NOUN
hjic-828	54	17	)	)	PUNCT
hjic-828	54	18	and	and	CCONJ
hjic-828	54	19	is	be	AUX
hjic-828	54	20	the	the	DET
hjic-828	54	21	smallest	small	ADJ
hjic-828	54	22	linear	linear	ADJ
hjic-828	54	23	subspace	subspace	NOUN
hjic-828	54	24	of	of	ADP
hjic-828	54	25	c∞(rn	c∞(rn	PROPN
hjic-828	54	26	,	,	PUNCT
hjic-828	54	27	rn	rn	PROPN
hjic-828	54	28	)	)	PUNCT
hjic-828	54	29	that	that	PRON
hjic-828	54	30	satisfies	satisfy	VERB
hjic-828	54	31	the	the	DET
hjic-828	54	32	following	follow	VERB
hjic-828	54	33	conditions	condition	NOUN
hjic-828	54	34	:	:	PUNCT
hjic-828	54	35	1	1	X
hjic-828	54	36	.	.	X
hjic-828	54	37	f	f	PROPN
hjic-828	54	38	,	,	PUNCT
hjic-828	54	39	g	g	PROPN
hjic-828	54	40	∈	∈	PROPN
hjic-828	54	41	λ	λ	PROPN
hjic-828	54	42	,	,	PUNCT
hjic-828	54	43	2	2	NUM
hjic-828	54	44	.	.	X
hjic-828	55	1	for	for	ADP
hjic-828	55	2	any	any	DET
hjic-828	55	3	a	a	NOUN
hjic-828	55	4	,	,	PUNCT
hjic-828	55	5	b	b	PROPN
hjic-828	55	6	∈	∈	PROPN
hjic-828	55	7	λ	λ	PROPN
hjic-828	55	8	,	,	PUNCT
hjic-828	55	9	[	[	X
hjic-828	55	10	a	a	X
hjic-828	55	11	,	,	PUNCT
hjic-828	55	12	b	b	NOUN
hjic-828	55	13	]	]	X
hjic-828	55	14	∈	∈	PROPN
hjic-828	55	15	λ	λ	PROPN
hjic-828	55	16	.	.	PUNCT
hjic-828	56	1	it	it	PRON
hjic-828	56	2	should	should	AUX
hjic-828	56	3	be	be	AUX
hjic-828	56	4	noted	note	VERB
hjic-828	56	5	that	that	SCONJ
hjic-828	56	6	λ	λ	PROPN
hjic-828	56	7	also	also	ADV
hjic-828	56	8	defines	define	VERB
hjic-828	56	9	a	a	DET
hjic-828	56	10	distribution	distribution	NOUN
hjic-828	56	11	.	.	PUNCT
hjic-828	57	1	definition	definition	NOUN
hjic-828	57	2	5	5	NUM
hjic-828	57	3	(	(	PUNCT
hjic-828	57	4	distribution	distribution	NOUN
hjic-828	57	5	)	)	PUNCT
hjic-828	57	6	.	.	PUNCT
hjic-828	58	1	the	the	DET
hjic-828	58	2	distribution	distribution	NOUN
hjic-828	58	3	∆	∆	PROPN
hjic-828	58	4	is	be	AUX
hjic-828	58	5	the	the	DET
hjic-828	58	6	operator	operator	NOUN
hjic-828	58	7	which	which	PRON
hjic-828	58	8	assigns	assign	VERB
hjic-828	58	9	a	a	DET
hjic-828	58	10	linear	linear	ADJ
hjic-828	58	11	subspace	subspace	NOUN
hjic-828	58	12	of	of	ADP
hjic-828	58	13	rn	rn	PROPN
hjic-828	58	14	to	to	PART
hjic-828	58	15	∀x	∀x	X
hjic-828	58	16	∈	∈	PROPN
hjic-828	58	17	rn	rn	X
hjic-828	58	18	.	.	PUNCT
hjic-828	59	1	definition	definition	NOUN
hjic-828	59	2	6	6	NUM
hjic-828	59	3	(	(	PUNCT
hjic-828	59	4	controllability	controllability	NOUN
hjic-828	59	5	distribution	distribution	NOUN
hjic-828	59	6	)	)	PUNCT
hjic-828	59	7	.	.	PUNCT
hjic-828	60	1	the	the	DET
hjic-828	60	2	controllability	controllability	NOUN
hjic-828	60	3	distribution	distribution	NOUN
hjic-828	60	4	∆c	∆c	NOUN
hjic-828	60	5	of	of	ADP
hjic-828	60	6	eq	eq	NOUN
hjic-828	60	7	.	.	PROPN
hjic-828	60	8	1	1	NUM
hjic-828	60	9	is	be	AUX
hjic-828	60	10	the	the	DET
hjic-828	60	11	smallest	small	ADJ
hjic-828	60	12	distribution	distribution	NOUN
hjic-828	60	13	which	which	PRON
hjic-828	60	14	satisfies	satisfy	VERB
hjic-828	60	15	the	the	DET
hjic-828	60	16	following	follow	VERB
hjic-828	60	17	conditions	condition	NOUN
hjic-828	60	18	:	:	PUNCT
hjic-828	61	1	1	1	X
hjic-828	61	2	.	.	X
hjic-828	61	3	g	g	PROPN
hjic-828	61	4	∈	∈	PROPN
hjic-828	61	5	∆c	∆c	PROPN
hjic-828	61	6	,	,	PUNCT
hjic-828	61	7	2	2	NUM
hjic-828	61	8	.	.	PUNCT
hjic-828	62	1	∆c	∆c	NOUN
hjic-828	62	2	is	be	AUX
hjic-828	62	3	invariant	invariant	ADJ
hjic-828	62	4	to	to	ADP
hjic-828	62	5	the	the	DET
hjic-828	62	6	vector	vector	NOUN
hjic-828	62	7	field	field	NOUN
hjic-828	62	8	f	f	PROPN
hjic-828	62	9	(	(	PUNCT
hjic-828	62	10	∀η	∀η	X
hjic-828	62	11	∈	∈	PROPN
hjic-828	62	12	∆c	∆c	PROPN
hjic-828	62	13	,	,	PUNCT
hjic-828	62	14	[	[	X
hjic-828	62	15	η	η	X
hjic-828	62	16	,	,	PUNCT
hjic-828	62	17	f	f	PROPN
hjic-828	62	18	]	]	PUNCT
hjic-828	62	19	∈	∈	PROPN
hjic-828	63	1	∆c	∆c	PROPN
hjic-828	63	2	)	)	PUNCT
hjic-828	63	3	,	,	PUNCT
hjic-828	63	4	3	3	X
hjic-828	63	5	.	.	PUNCT
hjic-828	64	1	∆c	∆c	NOUN
hjic-828	64	2	is	be	AUX
hjic-828	64	3	involutive	involutive	ADJ
hjic-828	64	4	(	(	PUNCT
hjic-828	64	5	∀η1	∀η1	NOUN
hjic-828	64	6	,	,	PUNCT
hjic-828	64	7	η2	η2	VERB
hjic-828	64	8	∈	∈	PROPN
hjic-828	64	9	∆c	∆c	NOUN
hjic-828	64	10	,	,	PUNCT
hjic-828	64	11	[	[	X
hjic-828	64	12	η1	η1	NOUN
hjic-828	64	13	,	,	PUNCT
hjic-828	64	14	η2	η2	X
hjic-828	64	15	]	]	PUNCT
hjic-828	64	16	∈	∈	PROPN
hjic-828	64	17	∆c	∆c	PROPN
hjic-828	64	18	)	)	PUNCT
hjic-828	64	19	.	.	PUNCT
hjic-828	65	1	the	the	DET
hjic-828	65	2	controllability	controllability	NOUN
hjic-828	65	3	distribution	distribution	NOUN
hjic-828	65	4	has	have	VERB
hjic-828	65	5	a	a	DET
hjic-828	65	6	subspace	subspace	NOUN
hjic-828	65	7	spanned	span	VERB
hjic-828	65	8	by	by	ADP
hjic-828	65	9	vector	vector	NOUN
hjic-828	65	10	fields	field	NOUN
hjic-828	65	11	g	g	PROPN
hjic-828	66	1	and	and	CCONJ
hjic-828	66	2	[	[	X
hjic-828	66	3	f	f	X
hjic-828	66	4	,	,	PUNCT
hjic-828	66	5	g	g	NOUN
hjic-828	66	6	]	]	PUNCT
hjic-828	66	7	.	.	PUNCT
hjic-828	67	1	the	the	DET
hjic-828	67	2	following	follow	VERB
hjic-828	67	3	theorem	theorem	NOUN
hjic-828	67	4	is	be	AUX
hjic-828	67	5	a	a	DET
hjic-828	67	6	fundamental	fundamental	ADJ
hjic-828	67	7	result	result	NOUN
hjic-828	67	8	used	use	VERB
hjic-828	67	9	in	in	ADP
hjic-828	67	10	ref	ref	NOUN
hjic-828	67	11	.	.	PUNCT
hjic-828	68	1	[	[	X
hjic-828	68	2	6	6	NUM
hjic-828	68	3	]	]	PUNCT
hjic-828	68	4	.	.	PUNCT
hjic-828	69	1	theorem	theorem	ADJ
hjic-828	69	2	1	1	NUM
hjic-828	69	3	(	(	PUNCT
hjic-828	69	4	reachability	reachability	NOUN
hjic-828	69	5	rank	rank	NOUN
hjic-828	69	6	condition	condition	NOUN
hjic-828	69	7	)	)	PUNCT
hjic-828	69	8	.	.	PUNCT
hjic-828	70	1	consider	consider	VERB
hjic-828	70	2	the	the	DET
hjic-828	70	3	controllability	controllability	NOUN
hjic-828	70	4	distribution	distribution	NOUN
hjic-828	70	5	∆c	∆c	NOUN
hjic-828	70	6	of	of	ADP
hjic-828	70	7	eq	eq	NOUN
hjic-828	70	8	.	.	PROPN
hjic-828	71	1	1	1	X
hjic-828	71	2	.	.	PUNCT
hjic-828	72	1	the	the	DET
hjic-828	72	2	system	system	NOUN
hjic-828	72	3	eq	eq	NOUN
hjic-828	72	4	.	.	PROPN
hjic-828	72	5	1	1	NUM
hjic-828	72	6	is	be	AUX
hjic-828	72	7	strongly	strongly	ADV
hjic-828	72	8	reachable	reachable	ADJ
hjic-828	72	9	at	at	ADP
hjic-828	72	10	point	point	NOUN
hjic-828	73	1	ξ∗	ξ∗	PROPN
hjic-828	73	2	∈	∈	PROPN
hjic-828	73	3	rn	rn	NOUN
hjic-828	73	4	if	if	SCONJ
hjic-828	73	5	dim{∆}c	dim{∆}c	PROPN
hjic-828	73	6	(	(	PUNCT
hjic-828	73	7	ξ∗	ξ∗	ADJ
hjic-828	73	8	)	)	PUNCT
hjic-828	73	9	=	=	PUNCT
hjic-828	73	10	n.	n.	NOUN
hjic-828	73	11	3	3	X
hjic-828	73	12	.	.	PUNCT
hjic-828	74	1	strong	strong	ADJ
hjic-828	74	2	reachability	reachability	NOUN
hjic-828	74	3	of	of	ADP
hjic-828	74	4	kinetic	kinetic	ADJ
hjic-828	74	5	equations	equation	NOUN
hjic-828	74	6	the	the	DET
hjic-828	74	7	active	active	ADJ
hjic-828	74	8	control	control	NOUN
hjic-828	74	9	of	of	ADP
hjic-828	74	10	chemical	chemical	NOUN
hjic-828	74	11	processes	process	NOUN
hjic-828	74	12	may	may	AUX
hjic-828	74	13	be	be	AUX
hjic-828	74	14	necessary	necessary	ADJ
hjic-828	74	15	to	to	PART
hjic-828	74	16	maximize	maximize	VERB
hjic-828	74	17	the	the	DET
hjic-828	74	18	amount	amount	NOUN
hjic-828	74	19	of	of	ADP
hjic-828	74	20	target	target	NOUN
hjic-828	74	21	products	product	NOUN
hjic-828	74	22	and	and	CCONJ
hjic-828	74	23	minimize	minimize	VERB
hjic-828	74	24	the	the	DET
hjic-828	74	25	amount	amount	NOUN
hjic-828	74	26	of	of	ADP
hjic-828	74	27	by	by	ADP
hjic-828	74	28	-	-	PUNCT
hjic-828	74	29	products	product	NOUN
hjic-828	74	30	.	.	PUNCT
hjic-828	75	1	to	to	PART
hjic-828	75	2	achieve	achieve	VERB
hjic-828	75	3	such	such	DET
hjic-828	75	4	a	a	DET
hjic-828	75	5	control	control	NOUN
hjic-828	75	6	objective	objective	NOUN
hjic-828	75	7	,	,	PUNCT
hjic-828	75	8	a	a	DET
hjic-828	75	9	suitable	suitable	ADJ
hjic-828	75	10	input	input	NOUN
hjic-828	75	11	variable	variable	NOUN
hjic-828	75	12	must	must	AUX
hjic-828	75	13	be	be	AUX
hjic-828	75	14	selected	select	VERB
hjic-828	75	15	so	so	SCONJ
hjic-828	75	16	that	that	SCONJ
hjic-828	75	17	the	the	DET
hjic-828	75	18	resulting	result	VERB
hjic-828	75	19	dynamical	dynamical	ADJ
hjic-828	75	20	system	system	NOUN
hjic-828	75	21	is	be	AUX
hjic-828	75	22	controllable	controllable	ADJ
hjic-828	75	23	from	from	ADP
hjic-828	75	24	that	that	DET
hjic-828	75	25	input	input	NOUN
hjic-828	75	26	.	.	PUNCT
hjic-828	76	1	to	to	PART
hjic-828	76	2	check	check	VERB
hjic-828	76	3	if	if	SCONJ
hjic-828	76	4	this	this	DET
hjic-828	76	5	requirement	requirement	NOUN
hjic-828	76	6	is	be	AUX
hjic-828	76	7	satisfied	satisfied	ADJ
hjic-828	76	8	,	,	PUNCT
hjic-828	76	9	the	the	DET
hjic-828	76	10	tools	tool	NOUN
hjic-828	76	11	introduced	introduce	VERB
hjic-828	76	12	in	in	ADP
hjic-828	76	13	the	the	DET
hjic-828	76	14	previous	previous	ADJ
hjic-828	76	15	section	section	NOUN
hjic-828	76	16	will	will	AUX
hjic-828	76	17	be	be	AUX
hjic-828	76	18	applied	apply	VERB
hjic-828	76	19	to	to	ADP
hjic-828	76	20	the	the	DET
hjic-828	76	21	equations	equation	NOUN
hjic-828	76	22	describing	describe	VERB
hjic-828	76	23	the	the	DET
hjic-828	76	24	reaction	reaction	NOUN
hjic-828	76	25	dynamics	dynamic	NOUN
hjic-828	76	26	.	.	PUNCT
hjic-828	77	1	consider	consider	VERB
hjic-828	77	2	a	a	DET
hjic-828	77	3	system	system	NOUN
hjic-828	77	4	of	of	ADP
hjic-828	77	5	r	r	NOUN
hjic-828	77	6	reaction	reaction	NOUN
hjic-828	77	7	steps	step	NOUN
hjic-828	77	8	and	and	CCONJ
hjic-828	77	9	with	with	ADP
hjic-828	77	10	m	m	PROPN
hjic-828	77	11	species	specie	NOUN
hjic-828	77	12	(	(	PUNCT
hjic-828	77	13	r	r	NOUN
hjic-828	77	14	,	,	PUNCT
hjic-828	77	15	m	m	VERB
hjic-828	77	16	>	>	X
hjic-828	77	17	0	0	NUM
hjic-828	77	18	)	)	PUNCT
hjic-828	77	19	.	.	PUNCT
hjic-828	78	1	by	by	ADP
hjic-828	78	2	borrowing	borrow	VERB
hjic-828	78	3	notational	notational	ADJ
hjic-828	78	4	conventions	convention	NOUN
hjic-828	78	5	from	from	ADP
hjic-828	78	6	chemistry	chemistry	NOUN
hjic-828	78	7	,	,	PUNCT
hjic-828	78	8	each	each	DET
hjic-828	78	9	reaction	reaction	NOUN
hjic-828	78	10	step	step	NOUN
hjic-828	78	11	can	can	AUX
hjic-828	78	12	be	be	AUX
hjic-828	78	13	generally	generally	ADV
hjic-828	78	14	defined	define	VERB
hjic-828	78	15	by	by	ADP
hjic-828	78	16	m∑	m∑	NOUN
hjic-828	78	17	m=1	m=1	PROPN
hjic-828	78	18	α(m	α(m	PROPN
hjic-828	78	19	,	,	PUNCT
hjic-828	78	20	r)x(m	r)x(m	PROPN
hjic-828	78	21	)	)	PUNCT
hjic-828	78	22	kr−−→	kr−−→	PROPN
hjic-828	78	23	m∑	m∑	PROPN
hjic-828	78	24	m=1	m=1	PROPN
hjic-828	78	25	β(m	β(m	PROPN
hjic-828	78	26	,	,	PUNCT
hjic-828	78	27	r)x(m	r)x(m	NOUN
hjic-828	78	28	)	)	PUNCT
hjic-828	78	29	,	,	PUNCT
hjic-828	78	30	r	r	NOUN
hjic-828	78	31	=	=	SYM
hjic-828	78	32	1	1	NUM
hjic-828	78	33	,	,	PUNCT
hjic-828	78	34	2	2	NUM
hjic-828	78	35	,	,	PUNCT
hjic-828	78	36	.	.	PUNCT
hjic-828	78	37	.	.	PUNCT
hjic-828	79	1	.	.	PUNCT
hjic-828	80	1	,	,	PUNCT
hjic-828	80	2	r	r	NOUN
hjic-828	80	3	,	,	PUNCT
hjic-828	80	4	(	(	PUNCT
hjic-828	80	5	4	4	NUM
hjic-828	80	6	)	)	PUNCT
hjic-828	80	7	where	where	SCONJ
hjic-828	80	8	α	α	X
hjic-828	80	9	(	(	PUNCT
hjic-828	80	10	·	·	PUNCT
hjic-828	80	11	,	,	PUNCT
hjic-828	80	12	r	r	NOUN
hjic-828	80	13	)	)	PUNCT
hjic-828	80	14	=	=	SYM
hjic-828	80	15	(	(	PUNCT
hjic-828	80	16	α(1	α(1	PROPN
hjic-828	80	17	,	,	PUNCT
hjic-828	80	18	r	r	NOUN
hjic-828	80	19	)	)	PUNCT
hjic-828	80	20	,	,	PUNCT
hjic-828	80	21	α(2	α(2	PROPN
hjic-828	80	22	,	,	PUNCT
hjic-828	80	23	r	r	NOUN
hjic-828	80	24	)	)	PUNCT
hjic-828	80	25	,	,	PUNCT
hjic-828	80	26	.	.	PUNCT
hjic-828	80	27	.	.	PUNCT
hjic-828	80	28	.	.	PUNCT
hjic-828	81	1	,	,	PUNCT
hjic-828	81	2	α(m	α(m	PROPN
hjic-828	81	3	,	,	PUNCT
hjic-828	81	4	r))t	r))t	NOUN
hjic-828	81	5	denotes	denote	VERB
hjic-828	81	6	the	the	DET
hjic-828	81	7	reactant	reactant	NOUN
hjic-828	81	8	complex	complex	ADJ
hjic-828	81	9	vector	vector	NOUN
hjic-828	81	10	,	,	PUNCT
hjic-828	81	11	β	β	X
hjic-828	81	12	(	(	PUNCT
hjic-828	81	13	·	·	PUNCT
hjic-828	81	14	,	,	PUNCT
hjic-828	81	15	r	r	NOUN
hjic-828	81	16	)	)	PUNCT
hjic-828	81	17	=	=	SYM
hjic-828	81	18	(	(	PUNCT
hjic-828	81	19	β(1	β(1	PROPN
hjic-828	81	20	,	,	PUNCT
hjic-828	81	21	r	r	NOUN
hjic-828	81	22	)	)	PUNCT
hjic-828	81	23	,	,	PUNCT
hjic-828	81	24	β(2	β(2	PROPN
hjic-828	81	25	,	,	PUNCT
hjic-828	81	26	r	r	NOUN
hjic-828	81	27	)	)	PUNCT
hjic-828	81	28	,	,	PUNCT
hjic-828	81	29	.	.	PUNCT
hjic-828	81	30	.	.	PUNCT
hjic-828	82	1	.	.	PUNCT
hjic-828	83	1	,	,	PUNCT
hjic-828	83	2	β(m	β(m	PROPN
hjic-828	83	3	,	,	PUNCT
hjic-828	83	4	r))t	r))t	NOUN
hjic-828	83	5	represents	represent	VERB
hjic-828	83	6	the	the	DET
hjic-828	83	7	product	product	NOUN
hjic-828	83	8	complex	complex	NOUN
hjic-828	83	9	vector	vector	NOUN
hjic-828	83	10	,	,	PUNCT
hjic-828	83	11	x(m	x(m	PROPN
hjic-828	83	12	)	)	PUNCT
hjic-828	83	13	is	be	AUX
hjic-828	83	14	themth	themth	NOUN
hjic-828	83	15	species	specie	NOUN
hjic-828	83	16	and	and	CCONJ
hjic-828	83	17	kr	kr	PROPN
hjic-828	83	18	is	be	AUX
hjic-828	83	19	the	the	DET
hjic-828	83	20	reaction	reaction	NOUN
hjic-828	83	21	rate	rate	NOUN
hjic-828	83	22	coefficient	coefficient	NOUN
hjic-828	83	23	of	of	ADP
hjic-828	83	24	the	the	DET
hjic-828	83	25	rth	rth	PROPN
hjic-828	83	26	reaction	reaction	NOUN
hjic-828	83	27	step	step	NOUN
hjic-828	83	28	.	.	PUNCT
hjic-828	84	1	the	the	DET
hjic-828	84	2	species	specie	NOUN
hjic-828	84	3	on	on	ADP
hjic-828	84	4	the	the	DET
hjic-828	84	5	left	left	ADJ
hjic-828	84	6	-	-	PUNCT
hjic-828	84	7	hand	hand	NOUN
hjic-828	84	8	side	side	NOUN
hjic-828	84	9	of	of	ADP
hjic-828	84	10	eq	eq	PROPN
hjic-828	84	11	.	.	PROPN
hjic-828	84	12	4	4	NUM
hjic-828	84	13	are	be	AUX
hjic-828	84	14	referred	refer	VERB
hjic-828	84	15	to	to	ADP
hjic-828	84	16	as	as	SCONJ
hjic-828	84	17	reactant	reactant	NOUN
hjic-828	84	18	species	specie	NOUN
hjic-828	84	19	and	and	CCONJ
hjic-828	84	20	reactant	reactant	NOUN
hjic-828	84	21	complexes	complex	NOUN
hjic-828	84	22	refer	refer	VERB
hjic-828	84	23	to	to	ADP
hjic-828	84	24	their	their	PRON
hjic-828	84	25	formal	formal	ADJ
hjic-828	84	26	linear	linear	NOUN
hjic-828	84	27	combinations	combination	NOUN
hjic-828	84	28	.	.	PUNCT
hjic-828	85	1	similarly	similarly	ADV
hjic-828	85	2	,	,	PUNCT
hjic-828	85	3	one	one	PRON
hjic-828	85	4	may	may	AUX
hjic-828	85	5	find	find	VERB
hjic-828	85	6	the	the	DET
hjic-828	85	7	products	product	NOUN
hjic-828	85	8	and	and	CCONJ
hjic-828	85	9	their	their	PRON
hjic-828	85	10	linear	linear	ADJ
hjic-828	85	11	combinations	combination	NOUN
hjic-828	85	12	(	(	PUNCT
hjic-828	85	13	product	product	NOUN
hjic-828	85	14	complexes	complex	NOUN
hjic-828	85	15	)	)	PUNCT
hjic-828	85	16	on	on	ADP
hjic-828	85	17	the	the	DET
hjic-828	85	18	right	right	ADJ
hjic-828	85	19	-	-	PUNCT
hjic-828	85	20	hand	hand	NOUN
hjic-828	85	21	side	side	NOUN
hjic-828	85	22	of	of	ADP
hjic-828	85	23	the	the	DET
hjic-828	85	24	reaction	reaction	NOUN
hjic-828	85	25	described	describe	VERB
hjic-828	85	26	in	in	ADP
hjic-828	85	27	eq	eq	PROPN
hjic-828	85	28	.	.	PROPN
hjic-828	85	29	4	4	X
hjic-828	85	30	.	.	X
hjic-828	85	31	let	let	VERB
hjic-828	85	32	us	we	PRON
hjic-828	85	33	also	also	ADV
hjic-828	85	34	define	define	VERB
hjic-828	85	35	the	the	DET
hjic-828	85	36	stoichiometric	stoichiometric	ADJ
hjic-828	85	37	matrix	matrix	NOUN
hjic-828	85	38	,	,	PUNCT
hjic-828	85	39	denoted	denote	VERB
hjic-828	85	40	by	by	ADP
hjic-828	85	41	γ	γ	PROPN
hjic-828	85	42	.	.	PUNCT
hjic-828	86	1	the	the	DET
hjic-828	86	2	matrix	matrix	NOUN
hjic-828	86	3	γ	γ	PROPN
hjic-828	86	4	consists	consist	VERB
hjic-828	86	5	of	of	ADP
hjic-828	86	6	r	r	NOUN
hjic-828	86	7	columns	column	NOUN
hjic-828	86	8	and	and	CCONJ
hjic-828	86	9	m	m	NOUN
hjic-828	86	10	rows	row	NOUN
hjic-828	86	11	,	,	PUNCT
hjic-828	86	12	such	such	ADJ
hjic-828	86	13	that	that	SCONJ
hjic-828	86	14	each	each	DET
hjic-828	86	15	column	column	NOUN
hjic-828	86	16	is	be	AUX
hjic-828	86	17	obtained	obtain	VERB
hjic-828	86	18	by	by	ADP
hjic-828	86	19	γ	γ	PROPN
hjic-828	86	20	(	(	PUNCT
hjic-828	86	21	·	·	PUNCT
hjic-828	86	22	,	,	PUNCT
hjic-828	86	23	r	r	NOUN
hjic-828	86	24	)	)	PUNCT
hjic-828	86	25	=	=	SYM
hjic-828	86	26	β	β	X
hjic-828	86	27	(	(	PUNCT
hjic-828	86	28	·	·	PUNCT
hjic-828	86	29	,	,	PUNCT
hjic-828	86	30	r)−	r)−	PROPN
hjic-828	86	31	α	α	PROPN
hjic-828	86	32	(	(	PUNCT
hjic-828	86	33	·	·	PUNCT
hjic-828	86	34	,	,	PUNCT
hjic-828	86	35	r	r	NOUN
hjic-828	86	36	)	)	PUNCT
hjic-828	86	37	.	.	PUNCT
hjic-828	87	1	(	(	PUNCT
hjic-828	87	2	5	5	NUM
hjic-828	87	3	)	)	PUNCT
hjic-828	87	4	eq	eq	NOUN
hjic-828	87	5	.	.	NOUN
hjic-828	87	6	4	4	NUM
hjic-828	87	7	defines	define	VERB
hjic-828	87	8	the	the	DET
hjic-828	87	9	reaction	reaction	NOUN
hjic-828	87	10	but	but	CCONJ
hjic-828	87	11	it	it	PRON
hjic-828	87	12	does	do	AUX
hjic-828	87	13	not	not	PART
hjic-828	87	14	specify	specify	VERB
hjic-828	87	15	its	its	PRON
hjic-828	87	16	mass	mass	ADJ
hjic-828	87	17	action	action	NOUN
hjic-828	87	18	kinetics	kinetic	NOUN
hjic-828	87	19	.	.	PUNCT
hjic-828	88	1	however	however	ADV
hjic-828	88	2	,	,	PUNCT
hjic-828	88	3	in	in	ADP
hjic-828	88	4	order	order	NOUN
hjic-828	88	5	to	to	PART
hjic-828	88	6	study	study	VERB
hjic-828	88	7	the	the	DET
hjic-828	88	8	controllability	controllability	NOUN
hjic-828	88	9	,	,	PUNCT
hjic-828	88	10	the	the	DET
hjic-828	88	11	differential	differential	ADJ
hjic-828	88	12	equations	equation	NOUN
hjic-828	88	13	of	of	ADP
hjic-828	88	14	the	the	DET
hjic-828	88	15	reaction	reaction	NOUN
hjic-828	88	16	dynamics	dynamic	NOUN
hjic-828	88	17	need	need	VERB
hjic-828	88	18	to	to	PART
hjic-828	88	19	be	be	AUX
hjic-828	88	20	obtained	obtain	VERB
hjic-828	88	21	in	in	ADP
hjic-828	88	22	the	the	DET
hjic-828	88	23	form	form	NOUN
hjic-828	88	24	of	of	ADP
hjic-828	88	25	differential	differential	ADJ
hjic-828	88	26	equation	equation	NOUN
hjic-828	88	27	eq	eq	NOUN
hjic-828	88	28	.	.	PROPN
hjic-828	88	29	1	1	X
hjic-828	88	30	.	.	PUNCT
hjic-828	89	1	these	these	DET
hjic-828	89	2	equations	equation	NOUN
hjic-828	89	3	are	be	AUX
hjic-828	89	4	obtained	obtain	VERB
hjic-828	89	5	from	from	ADP
hjic-828	89	6	the	the	DET
hjic-828	89	7	heat	heat	NOUN
hjic-828	89	8	balance	balance	NOUN
hjic-828	89	9	[	[	X
hjic-828	89	10	7–9	7–9	X
hjic-828	89	11	]	]	PUNCT
hjic-828	89	12	of	of	ADP
hjic-828	89	13	reaction	reaction	NOUN
hjic-828	89	14	eq	eq	ADP
hjic-828	89	15	.	.	PROPN
hjic-828	89	16	4	4	NUM
hjic-828	89	17	as	as	ADP
hjic-828	89	18	ẋm	ẋm	PROPN
hjic-828	89	19	=	=	SYM
hjic-828	89	20	r∑	r∑	NOUN
hjic-828	89	21	r=1	r=1	ADJ
hjic-828	89	22	γ(m	γ(m	PROPN
hjic-828	89	23	,	,	PUNCT
hjic-828	89	24	r)krx	r)krx	PROPN
hjic-828	89	25	α	α	PROPN
hjic-828	89	26	(	(	PUNCT
hjic-828	89	27	·	·	PUNCT
hjic-828	89	28	,	,	PUNCT
hjic-828	89	29	r	r	NOUN
hjic-828	89	30	)	)	PUNCT
hjic-828	89	31	m	m	PROPN
hjic-828	89	32	=	=	SYM
hjic-828	89	33	1	1	NUM
hjic-828	89	34	,	,	PUNCT
hjic-828	89	35	2	2	NUM
hjic-828	89	36	,	,	PUNCT
hjic-828	89	37	.	.	PUNCT
hjic-828	89	38	.	.	PUNCT
hjic-828	90	1	.	.	PUNCT
hjic-828	91	1	,	,	PUNCT
hjic-828	91	2	m	m	PROPN
hjic-828	91	3	,	,	PUNCT
hjic-828	91	4	(	(	PUNCT
hjic-828	91	5	6	6	NUM
hjic-828	91	6	)	)	PUNCT
hjic-828	91	7	ṫ	ṫ	NOUN
hjic-828	92	1	=	=	SYM
hjic-828	92	2	r∑	r∑	NOUN
hjic-828	92	3	r=1	r=1	NOUN
hjic-828	92	4	1	1	NUM
hjic-828	92	5	βr,0	βr,0	NOUN
hjic-828	92	6	krx	krx	X
hjic-828	92	7	α	α	PROPN
hjic-828	92	8	(	(	PUNCT
hjic-828	92	9	·	·	PUNCT
hjic-828	92	10	,	,	PUNCT
hjic-828	92	11	r	r	NOUN
hjic-828	92	12	)	)	PUNCT
hjic-828	92	13	+	+	NUM
hjic-828	92	14	u	u	NOUN
hjic-828	92	15	,	,	PUNCT
hjic-828	92	16	(	(	PUNCT
hjic-828	92	17	7	7	X
hjic-828	92	18	)	)	PUNCT
hjic-828	92	19	where	where	SCONJ
hjic-828	92	20	xm	xm	PROPN
hjic-828	92	21	denotes	denote	VERB
hjic-828	92	22	the	the	DET
hjic-828	92	23	concentration	concentration	NOUN
hjic-828	92	24	of	of	ADP
hjic-828	92	25	species	specie	NOUN
hjic-828	92	26	m	m	PROPN
hjic-828	92	27	,	,	PUNCT
hjic-828	92	28	t	t	PROPN
hjic-828	92	29	is	be	AUX
hjic-828	92	30	the	the	DET
hjic-828	92	31	temperature	temperature	NOUN
hjic-828	92	32	,	,	PUNCT
hjic-828	92	33	and	and	CCONJ
hjic-828	92	34	xα	xα	INTJ
hjic-828	92	35	(	(	PUNCT
hjic-828	92	36	·	·	PUNCT
hjic-828	92	37	,	,	PUNCT
hjic-828	92	38	r	r	NOUN
hjic-828	92	39	)	)	PUNCT
hjic-828	92	40	=	=	SYM
hjic-828	92	41	∏m	∏m	X
hjic-828	92	42	p=1	p=1	NOUN
hjic-828	92	43	x	x	X
hjic-828	92	44	α(p	α(p	PROPN
hjic-828	92	45	,	,	PUNCT
hjic-828	92	46	r	r	NOUN
hjic-828	92	47	)	)	PUNCT
hjic-828	92	48	p	p	NOUN
hjic-828	92	49	.	.	PUNCT
hjic-828	93	1	recall	recall	VERB
hjic-828	93	2	that	that	SCONJ
hjic-828	93	3	the	the	DET
hjic-828	93	4	single	single	ADJ
hjic-828	93	5	input	input	NOUN
hjic-828	93	6	u	u	NOUN
hjic-828	93	7	appears	appear	VERB
hjic-828	93	8	in	in	ADP
hjic-828	93	9	the	the	DET
hjic-828	93	10	expression	expression	NOUN
hjic-828	93	11	of	of	ADP
hjic-828	93	12	ṫ	ṫ	PROPN
hjic-828	93	13	.	.	PUNCT
hjic-828	94	1	the	the	DET
hjic-828	94	2	state	state	PROPN
hjic-828	94	3	vector	vector	NOUN
hjic-828	94	4	ξ	ξ	PROPN
hjic-828	94	5	for	for	ADP
hjic-828	94	6	the	the	DET
hjic-828	94	7	dynamics	dynamic	NOUN
hjic-828	94	8	eqs	eqs	PROPN
hjic-828	94	9	.	.	PUNCT
hjic-828	95	1	6–7	6–7	NUM
hjic-828	95	2	reads	read	VERB
hjic-828	95	3	ξ	ξ	NOUN
hjic-828	95	4	=	=	SYM
hjic-828	95	5	(	(	PUNCT
hjic-828	95	6	x1	x1	PROPN
hjic-828	95	7	,	,	PUNCT
hjic-828	95	8	x2	x2	PROPN
hjic-828	95	9	,	,	PUNCT
hjic-828	95	10	.	.	PUNCT
hjic-828	95	11	.	.	PUNCT
hjic-828	96	1	.	.	PUNCT
hjic-828	97	1	,	,	PUNCT
hjic-828	97	2	xm	xm	PROPN
hjic-828	97	3	,	,	PUNCT
hjic-828	97	4	t	t	PROPN
hjic-828	97	5	)	)	PUNCT
hjic-828	97	6	t	t	PROPN
hjic-828	97	7	.	.	PUNCT
hjic-828	98	1	the	the	DET
hjic-828	98	2	reaction	reaction	NOUN
hjic-828	98	3	rate	rate	NOUN
hjic-828	98	4	coefficient	coefficient	NOUN
hjic-828	98	5	kr	kr	PROPN
hjic-828	98	6	can	can	AUX
hjic-828	98	7	be	be	AUX
hjic-828	98	8	given	give	VERB
hjic-828	98	9	as	as	ADP
hjic-828	98	10	kr	kr	PROPN
hjic-828	98	11	=	=	PROPN
hjic-828	98	12	kr,0e	kr,0e	PROPN
hjic-828	98	13	−	−	PROPN
hjic-828	98	14	er	er	INTJ
hjic-828	98	15	r0	r0	NOUN
hjic-828	98	16	t	t	PROPN
hjic-828	98	17	(	(	PUNCT
hjic-828	98	18	8)	8)	NUM
hjic-828	98	19	hungarian	hungarian	ADJ
hjic-828	98	20	journal	journal	NOUN
hjic-828	98	21	of	of	ADP
hjic-828	98	22	industry	industry	NOUN
hjic-828	98	23	and	and	CCONJ
hjic-828	98	24	chemistry	chemistry	NOUN
hjic-828	98	25	strong	strong	ADJ
hjic-828	98	26	reachability	reachability	NOUN
hjic-828	98	27	of	of	ADP
hjic-828	98	28	reactions	reaction	NOUN
hjic-828	98	29	with	with	ADP
hjic-828	98	30	reversible	reversible	ADJ
hjic-828	98	31	steps	step	NOUN
hjic-828	98	32	21	21	NUM
hjic-828	98	33	where	where	SCONJ
hjic-828	98	34	kr,0	kr,0	PROPN
hjic-828	98	35	,	,	PUNCT
hjic-828	98	36	er	er	INTJ
hjic-828	98	37	,	,	PUNCT
hjic-828	98	38	r0	r0	PROPN
hjic-828	98	39	∈	∈	PROPN
hjic-828	98	40	r+	r+	NOUN
hjic-828	98	41	.	.	PUNCT
hjic-828	99	1	to	to	PART
hjic-828	99	2	study	study	VERB
hjic-828	99	3	reachability	reachability	NOUN
hjic-828	99	4	,	,	PUNCT
hjic-828	99	5	one	one	PRON
hjic-828	99	6	has	have	VERB
hjic-828	99	7	to	to	PART
hjic-828	99	8	determine	determine	VERB
hjic-828	99	9	the	the	DET
hjic-828	99	10	number	number	NOUN
hjic-828	99	11	of	of	ADP
hjic-828	99	12	linearly	linearly	ADV
hjic-828	99	13	independent	independent	ADJ
hjic-828	99	14	lie	lie	NOUN
hjic-828	99	15	brackets	bracket	NOUN
hjic-828	99	16	spanning	span	VERB
hjic-828	99	17	the	the	DET
hjic-828	99	18	lie	lie	NOUN
hjic-828	99	19	algebra	algebra	NOUN
hjic-828	99	20	generated	generate	VERB
hjic-828	99	21	by	by	ADP
hjic-828	99	22	the	the	DET
hjic-828	99	23	vector	vector	NOUN
hjic-828	99	24	fields	field	NOUN
hjic-828	99	25	g	g	NOUN
hjic-828	99	26	and	and	CCONJ
hjic-828	99	27	adgf	adgf	VERB
hjic-828	99	28	.	.	PUNCT
hjic-828	100	1	thanks	thank	NOUN
hjic-828	100	2	to	to	ADP
hjic-828	100	3	the	the	DET
hjic-828	100	4	special	special	ADJ
hjic-828	100	5	structure	structure	NOUN
hjic-828	100	6	of	of	ADP
hjic-828	100	7	the	the	DET
hjic-828	100	8	reaction	reaction	NOUN
hjic-828	100	9	dynamics	dynamic	NOUN
hjic-828	100	10	,	,	PUNCT
hjic-828	100	11	the	the	DET
hjic-828	100	12	linear	linear	ADJ
hjic-828	100	13	independence	independence	NOUN
hjic-828	100	14	can	can	AUX
hjic-828	100	15	be	be	AUX
hjic-828	100	16	examined	examine	VERB
hjic-828	100	17	by	by	ADP
hjic-828	100	18	factorizing	factorize	VERB
hjic-828	100	19	the	the	DET
hjic-828	100	20	matrix	matrix	NOUN
hjic-828	100	21	of	of	ADP
hjic-828	100	22	lie	lie	NOUN
hjic-828	100	23	brackets	bracket	NOUN
hjic-828	100	24	and	and	CCONJ
hjic-828	100	25	checking	check	VERB
hjic-828	100	26	the	the	DET
hjic-828	100	27	rank	rank	NOUN
hjic-828	100	28	of	of	ADP
hjic-828	100	29	the	the	DET
hjic-828	100	30	factors	factor	NOUN
hjic-828	100	31	.	.	PUNCT
hjic-828	101	1	first	first	ADV
hjic-828	101	2	,	,	PUNCT
hjic-828	101	3	let	let	VERB
hjic-828	101	4	us	we	PRON
hjic-828	101	5	define	define	VERB
hjic-828	101	6	the	the	DET
hjic-828	101	7	reaction	reaction	NOUN
hjic-828	101	8	dynamics	dynamic	NOUN
hjic-828	101	9	matrix	matrix	NOUN
hjic-828	101	10	:	:	PUNCT
hjic-828	101	11	definition	definition	NOUN
hjic-828	101	12	7	7	NUM
hjic-828	101	13	(	(	PUNCT
hjic-828	101	14	reaction	reaction	NOUN
hjic-828	101	15	dynamics	dynamic	NOUN
hjic-828	101	16	matrix	matrix	NOUN
hjic-828	101	17	dr	dr	PROPN
hjic-828	101	18	)	)	PUNCT
hjic-828	101	19	.	.	PUNCT
hjic-828	102	1	introduce	introduce	VERB
hjic-828	102	2	the	the	DET
hjic-828	102	3	notation	notation	NOUN
hjic-828	102	4	k	k	PROPN
hjic-828	102	5	(	(	PUNCT
hjic-828	102	6	i	i	NOUN
hjic-828	102	7	)	)	PUNCT
hjic-828	102	8	j	j	PROPN
hjic-828	103	1	:	:	PUNCT
hjic-828	103	2	=	=	PUNCT
hjic-828	103	3	∂i	∂i	PROPN
hjic-828	104	1	∂t	∂t	PROPN
hjic-828	105	1	i	i	PRON
hjic-828	105	2	kj	kj	PROPN
hjic-828	106	1	i	i	PROPN
hjic-828	106	2	,	,	PUNCT
hjic-828	106	3	j	j	PROPN
hjic-828	106	4	∈	∈	PROPN
hjic-828	106	5	{	{	PUNCT
hjic-828	106	6	1	1	NUM
hjic-828	106	7	,	,	PUNCT
hjic-828	106	8	2	2	NUM
hjic-828	106	9	,	,	PUNCT
hjic-828	106	10	.	.	PUNCT
hjic-828	106	11	.	.	PUNCT
hjic-828	106	12	.	.	PUNCT
hjic-828	107	1	,	,	PUNCT
hjic-828	107	2	r	r	X
hjic-828	107	3	}	}	PUNCT
hjic-828	107	4	(	(	PUNCT
hjic-828	107	5	9	9	X
hjic-828	107	6	)	)	PUNCT
hjic-828	107	7	the	the	DET
hjic-828	107	8	matrix	matrix	NOUN
hjic-828	107	9	of	of	ADP
hjic-828	107	10	sizer×r	sizer×r	NOUN
hjic-828	107	11	of	of	ADP
hjic-828	107	12	the	the	DET
hjic-828	107	13	derivatives	derivative	NOUN
hjic-828	107	14	of	of	ADP
hjic-828	107	15	the	the	DET
hjic-828	107	16	reaction	reaction	NOUN
hjic-828	107	17	rate	rate	NOUN
hjic-828	107	18	coefficient	coefficient	NOUN
hjic-828	107	19	defined	define	VERB
hjic-828	107	20	as	as	ADP
hjic-828	107	21	dr	dr	PROPN
hjic-828	107	22	=	=	PROPN
hjic-828	107	23			PROPN
hjic-828	107	24	k	k	PROPN
hjic-828	107	25	(	(	PUNCT
hjic-828	107	26	1	1	NUM
hjic-828	107	27	)	)	PUNCT
hjic-828	107	28	1	1	NUM
hjic-828	107	29	k	k	NOUN
hjic-828	107	30	(	(	PUNCT
hjic-828	107	31	2	2	NUM
hjic-828	107	32	)	)	PUNCT
hjic-828	107	33	1	1	NUM
hjic-828	107	34	.	.	PUNCT
hjic-828	107	35	.	.	PUNCT
hjic-828	107	36	.	.	PUNCT
hjic-828	108	1	k	k	X
hjic-828	108	2	(	(	PUNCT
hjic-828	108	3	r	r	NOUN
hjic-828	108	4	)	)	PUNCT
hjic-828	108	5	1	1	NUM
hjic-828	108	6	k	k	NOUN
hjic-828	108	7	(	(	PUNCT
hjic-828	108	8	1	1	NUM
hjic-828	108	9	)	)	PUNCT
hjic-828	108	10	2	2	NUM
hjic-828	108	11	k	k	NOUN
hjic-828	108	12	(	(	PUNCT
hjic-828	108	13	2	2	NUM
hjic-828	108	14	)	)	PUNCT
hjic-828	108	15	2	2	NUM
hjic-828	108	16	.	.	PUNCT
hjic-828	108	17	.	.	PUNCT
hjic-828	108	18	.	.	PUNCT
hjic-828	109	1	k	k	X
hjic-828	109	2	(	(	PUNCT
hjic-828	109	3	r	r	NOUN
hjic-828	109	4	)	)	PUNCT
hjic-828	109	5	2	2	NUM
hjic-828	109	6	...	...	PUNCT
hjic-828	109	7	...	...	PUNCT
hjic-828	109	8	.	.	PUNCT
hjic-828	109	9	.	.	PUNCT
hjic-828	109	10	.	.	PUNCT
hjic-828	110	1	...	...	PUNCT
hjic-828	111	1	k	k	X
hjic-828	111	2	(	(	PUNCT
hjic-828	111	3	1	1	X
hjic-828	111	4	)	)	PUNCT
hjic-828	111	5	r	r	NOUN
hjic-828	111	6	k	k	NOUN
hjic-828	111	7	(	(	PUNCT
hjic-828	111	8	2	2	X
hjic-828	111	9	)	)	PUNCT
hjic-828	111	10	r	r	NOUN
hjic-828	111	11	.	.	PUNCT
hjic-828	111	12	.	.	PUNCT
hjic-828	111	13	.	.	PUNCT
hjic-828	112	1	k	k	X
hjic-828	112	2	(	(	PUNCT
hjic-828	112	3	r	r	NOUN
hjic-828	112	4	)	)	PUNCT
hjic-828	112	5	r	r	NOUN
hjic-828	112	6			NOUN
hjic-828	112	7	(	(	PUNCT
hjic-828	112	8	10	10	NUM
hjic-828	112	9	)	)	PUNCT
hjic-828	112	10	is	be	AUX
hjic-828	112	11	referred	refer	VERB
hjic-828	112	12	to	to	ADP
hjic-828	112	13	as	as	ADP
hjic-828	112	14	the	the	DET
hjic-828	112	15	reaction	reaction	NOUN
hjic-828	112	16	dynamics	dynamic	NOUN
hjic-828	112	17	matrix	matrix	NOUN
hjic-828	112	18	.	.	PUNCT
hjic-828	113	1	the	the	DET
hjic-828	113	2	following	follow	VERB
hjic-828	113	3	lemma	lemma	PROPN
hjic-828	113	4	and	and	CCONJ
hjic-828	113	5	theorem	theorem	NOUN
hjic-828	113	6	have	have	AUX
hjic-828	113	7	been	be	AUX
hjic-828	113	8	shown	show	VERB
hjic-828	113	9	in	in	ADP
hjic-828	113	10	ref	ref	NOUN
hjic-828	113	11	.	.	PUNCT
hjic-828	114	1	[	[	X
hjic-828	114	2	4	4	NUM
hjic-828	114	3	]	]	PUNCT
hjic-828	114	4	.	.	PUNCT
hjic-828	115	1	they	they	PRON
hjic-828	115	2	are	be	AUX
hjic-828	115	3	also	also	ADV
hjic-828	115	4	provided	provide	VERB
hjic-828	115	5	here	here	ADV
hjic-828	115	6	for	for	ADP
hjic-828	115	7	completeness	completeness	NOUN
hjic-828	115	8	.	.	PUNCT
hjic-828	116	1	lemma	lemma	PROPN
hjic-828	116	2	1	1	X
hjic-828	116	3	.	.	PUNCT
hjic-828	117	1	consider	consider	VERB
hjic-828	117	2	a	a	DET
hjic-828	117	3	reaction	reaction	NOUN
hjic-828	117	4	with	with	ADP
hjic-828	117	5	r	r	NOUN
hjic-828	117	6	steps	step	NOUN
hjic-828	117	7	.	.	PUNCT
hjic-828	118	1	suppose	suppose	VERB
hjic-828	118	2	that	that	SCONJ
hjic-828	118	3	the	the	DET
hjic-828	118	4	activation	activation	NOUN
hjic-828	118	5	energies	energy	NOUN
hjic-828	118	6	e1	e1	PROPN
hjic-828	118	7	,	,	PUNCT
hjic-828	118	8	e2	e2	PROPN
hjic-828	118	9	,	,	PUNCT
hjic-828	118	10	.	.	PUNCT
hjic-828	118	11	.	.	PUNCT
hjic-828	119	1	.	.	PUNCT
hjic-828	120	1	,	,	PUNCT
hjic-828	120	2	er	er	INTJ
hjic-828	120	3	of	of	ADP
hjic-828	120	4	the	the	DET
hjic-828	120	5	reaction	reaction	NOUN
hjic-828	120	6	steps	step	NOUN
hjic-828	120	7	are	be	AUX
hjic-828	120	8	all	all	ADV
hjic-828	120	9	different	different	ADJ
hjic-828	120	10	and	and	CCONJ
hjic-828	120	11	strictly	strictly	ADV
hjic-828	120	12	positive	positive	ADJ
hjic-828	120	13	,	,	PUNCT
hjic-828	120	14	then	then	ADV
hjic-828	120	15	the	the	DET
hjic-828	120	16	reaction	reaction	NOUN
hjic-828	120	17	dynamics	dynamic	NOUN
hjic-828	120	18	matrix	matrix	NOUN
hjic-828	120	19	dr	dr	PROPN
hjic-828	120	20	is	be	AUX
hjic-828	120	21	of	of	ADP
hjic-828	120	22	full	full	ADJ
hjic-828	120	23	rank	rank	NOUN
hjic-828	120	24	for	for	ADP
hjic-828	120	25	every	every	DET
hjic-828	120	26	t	t	NOUN
hjic-828	120	27	>	>	X
hjic-828	120	28	0	0	X
hjic-828	120	29	.	.	PUNCT
hjic-828	121	1	theorem	theorem	NOUN
hjic-828	121	2	1	1	NUM
hjic-828	121	3	can	can	AUX
hjic-828	121	4	not	not	PART
hjic-828	121	5	be	be	AUX
hjic-828	121	6	applied	apply	VERB
hjic-828	121	7	directly	directly	ADV
hjic-828	121	8	to	to	ADP
hjic-828	121	9	the	the	DET
hjic-828	121	10	reaction	reaction	NOUN
hjic-828	121	11	dynamics	dynamic	NOUN
hjic-828	121	12	eq	eq	NOUN
hjic-828	121	13	.	.	PROPN
hjic-828	121	14	6–7	6–7	NUM
hjic-828	121	15	,	,	PUNCT
hjic-828	121	16	because	because	SCONJ
hjic-828	121	17	the	the	DET
hjic-828	121	18	right	right	ADJ
hjic-828	121	19	-	-	PUNCT
hjic-828	121	20	hand	hand	NOUN
hjic-828	121	21	sides	side	NOUN
hjic-828	121	22	(	(	PUNCT
hjic-828	121	23	rhs	rhs	PROPN
hjic-828	121	24	)	)	PUNCT
hjic-828	121	25	of	of	ADP
hjic-828	121	26	some	some	DET
hjic-828	121	27	equations	equation	NOUN
hjic-828	121	28	in	in	ADP
hjic-828	121	29	eq	eq	NOUN
hjic-828	121	30	.	.	PROPN
hjic-828	121	31	6	6	NUM
hjic-828	121	32	may	may	AUX
hjic-828	121	33	be	be	AUX
hjic-828	121	34	linearly	linearly	ADV
hjic-828	121	35	dependent	dependent	ADJ
hjic-828	121	36	.	.	PUNCT
hjic-828	122	1	let	let	VERB
hjic-828	122	2	δ	δ	PROPN
hjic-828	122	3	denote	denote	VERB
hjic-828	122	4	the	the	DET
hjic-828	122	5	number	number	NOUN
hjic-828	122	6	of	of	ADP
hjic-828	122	7	linearly	linearly	ADV
hjic-828	122	8	dependent	dependent	ADJ
hjic-828	122	9	rhss	rhss	NOUN
hjic-828	122	10	in	in	ADP
hjic-828	122	11	eq	eq	NOUN
hjic-828	122	12	.	.	PROPN
hjic-828	122	13	6	6	NUM
hjic-828	122	14	.	.	PUNCT
hjic-828	123	1	the	the	DET
hjic-828	123	2	system	system	NOUN
hjic-828	123	3	of	of	ADP
hjic-828	123	4	chemical	chemical	ADJ
hjic-828	123	5	reactions	reaction	NOUN
hjic-828	123	6	is	be	AUX
hjic-828	123	7	considered	consider	VERB
hjic-828	123	8	to	to	PART
hjic-828	123	9	be	be	AUX
hjic-828	123	10	strongly	strongly	ADV
hjic-828	123	11	reachable	reachable	ADJ
hjic-828	123	12	from	from	ADP
hjic-828	123	13	a	a	DET
hjic-828	123	14	point	point	NOUN
hjic-828	123	15	ξ∗	ξ∗	PROPN
hjic-828	123	16	∈	∈	PROPN
hjic-828	124	1	rm+1	rm+1	PRON
hjic-828	124	2	if	if	SCONJ
hjic-828	124	3	and	and	CCONJ
hjic-828	124	4	only	only	ADV
hjic-828	124	5	if	if	SCONJ
hjic-828	124	6	the	the	DET
hjic-828	124	7	dimension	dimension	NOUN
hjic-828	124	8	of	of	ADP
hjic-828	124	9	the	the	DET
hjic-828	124	10	controllability	controllability	NOUN
hjic-828	124	11	distribution	distribution	NOUN
hjic-828	124	12	is	be	AUX
hjic-828	124	13	m	m	VERB
hjic-828	124	14	−	−	NOUN
hjic-828	124	15	δ+	δ+	X
hjic-828	124	16	1	1	X
hjic-828	124	17	.	.	PUNCT
hjic-828	125	1	the	the	DET
hjic-828	125	2	additional	additional	ADJ
hjic-828	125	3	dimension	dimension	NOUN
hjic-828	125	4	is	be	AUX
hjic-828	125	5	due	due	ADJ
hjic-828	125	6	to	to	ADP
hjic-828	125	7	eq	eq	NOUN
hjic-828	125	8	.	.	PROPN
hjic-828	125	9	7	7	NUM
hjic-828	125	10	with	with	ADP
hjic-828	125	11	the	the	DET
hjic-828	125	12	temperature	temperature	NOUN
hjic-828	125	13	t	t	NOUN
hjic-828	125	14	as	as	ADP
hjic-828	125	15	an	an	DET
hjic-828	125	16	additional	additional	ADJ
hjic-828	125	17	variable	variable	NOUN
hjic-828	125	18	.	.	PUNCT
hjic-828	126	1	using	use	VERB
hjic-828	126	2	theorem	theorem	NOUN
hjic-828	126	3	1	1	NUM
hjic-828	126	4	,	,	PUNCT
hjic-828	126	5	the	the	DET
hjic-828	126	6	controllability	controllability	NOUN
hjic-828	126	7	subspace	subspace	NOUN
hjic-828	126	8	for	for	ADP
hjic-828	126	9	particular	particular	ADJ
hjic-828	126	10	reactions	reaction	NOUN
hjic-828	126	11	can	can	AUX
hjic-828	126	12	be	be	AUX
hjic-828	126	13	deduced	deduce	VERB
hjic-828	126	14	,	,	PUNCT
hjic-828	126	15	so	so	SCONJ
hjic-828	126	16	the	the	DET
hjic-828	126	17	conditions	condition	NOUN
hjic-828	126	18	for	for	ADP
hjic-828	126	19	strong	strong	ADJ
hjic-828	126	20	reachability	reachability	NOUN
hjic-828	126	21	of	of	ADP
hjic-828	126	22	the	the	DET
hjic-828	126	23	reactions	reaction	NOUN
hjic-828	126	24	can	can	AUX
hjic-828	126	25	be	be	AUX
hjic-828	126	26	determined	determine	VERB
hjic-828	126	27	.	.	PUNCT
hjic-828	127	1	theorem	theorem	NOUN
hjic-828	127	2	2	2	NUM
hjic-828	127	3	.	.	X
hjic-828	127	4	consider	consider	VERB
hjic-828	127	5	a	a	DET
hjic-828	127	6	reaction	reaction	NOUN
hjic-828	127	7	with	with	ADP
hjic-828	127	8	m	m	PROPN
hjic-828	127	9	species	specie	NOUN
hjic-828	127	10	and	and	CCONJ
hjic-828	127	11	r	r	NOUN
hjic-828	127	12	reaction	reaction	NOUN
hjic-828	127	13	steps	step	NOUN
hjic-828	127	14	.	.	PUNCT
hjic-828	128	1	suppose	suppose	VERB
hjic-828	128	2	that	that	SCONJ
hjic-828	128	3	the	the	DET
hjic-828	128	4	activation	activation	NOUN
hjic-828	128	5	energies	energy	NOUN
hjic-828	128	6	e1	e1	PROPN
hjic-828	128	7	,	,	PUNCT
hjic-828	128	8	e2	e2	PROPN
hjic-828	128	9	,	,	PUNCT
hjic-828	128	10	.	.	PUNCT
hjic-828	128	11	.	.	PUNCT
hjic-828	129	1	.	.	PUNCT
hjic-828	130	1	,	,	PUNCT
hjic-828	130	2	er	er	INTJ
hjic-828	130	3	of	of	ADP
hjic-828	130	4	the	the	DET
hjic-828	130	5	reaction	reaction	NOUN
hjic-828	130	6	steps	step	NOUN
hjic-828	130	7	are	be	AUX
hjic-828	130	8	all	all	ADV
hjic-828	130	9	different	different	ADJ
hjic-828	130	10	and	and	CCONJ
hjic-828	130	11	strictly	strictly	ADV
hjic-828	130	12	positive	positive	ADJ
hjic-828	130	13	.	.	PUNCT
hjic-828	131	1	then	then	ADV
hjic-828	131	2	the	the	DET
hjic-828	131	3	reaction	reaction	NOUN
hjic-828	131	4	dynamics	dynamic	NOUN
hjic-828	131	5	with	with	ADP
hjic-828	131	6	the	the	DET
hjic-828	131	7	temperature	temperature	NOUN
hjic-828	131	8	change	change	NOUN
hjic-828	131	9	(	(	PUNCT
hjic-828	131	10	ṫ	ṫ	PROPN
hjic-828	131	11	)	)	PUNCT
hjic-828	131	12	as	as	ADP
hjic-828	131	13	an	an	DET
hjic-828	131	14	input	input	NOUN
hjic-828	131	15	variable	variable	NOUN
hjic-828	131	16	are	be	AUX
hjic-828	131	17	strongly	strongly	ADV
hjic-828	131	18	reachable	reachable	ADJ
hjic-828	131	19	if	if	SCONJ
hjic-828	131	20	the	the	DET
hjic-828	131	21	concentrations	concentration	NOUN
hjic-828	131	22	of	of	ADP
hjic-828	131	23	all	all	DET
hjic-828	131	24	reactant	reactant	NOUN
hjic-828	131	25	species	specie	NOUN
hjic-828	131	26	are	be	AUX
hjic-828	131	27	positive	positive	ADJ
hjic-828	131	28	.	.	PUNCT
hjic-828	132	1	theorem	theorem	ADJ
hjic-828	132	2	2	2	NUM
hjic-828	132	3	provides	provide	VERB
hjic-828	132	4	a	a	DET
hjic-828	132	5	condition	condition	NOUN
hjic-828	132	6	for	for	ADP
hjic-828	132	7	the	the	DET
hjic-828	132	8	strong	strong	ADJ
hjic-828	132	9	reachability	reachability	NOUN
hjic-828	132	10	of	of	ADP
hjic-828	132	11	reactions	reaction	NOUN
hjic-828	132	12	in	in	ADP
hjic-828	132	13	a	a	DET
hjic-828	132	14	general	general	ADJ
hjic-828	132	15	form	form	NOUN
hjic-828	132	16	.	.	PUNCT
hjic-828	133	1	however	however	ADV
hjic-828	133	2	,	,	PUNCT
hjic-828	133	3	for	for	ADP
hjic-828	133	4	some	some	DET
hjic-828	133	5	reactions	reaction	NOUN
hjic-828	133	6	where	where	SCONJ
hjic-828	133	7	the	the	DET
hjic-828	133	8	reaction	reaction	NOUN
hjic-828	133	9	dynamics	dynamic	NOUN
hjic-828	133	10	have	have	VERB
hjic-828	133	11	additional	additional	ADJ
hjic-828	133	12	properties	property	NOUN
hjic-828	133	13	,	,	PUNCT
hjic-828	133	14	weaker	weak	ADJ
hjic-828	133	15	conditions	condition	NOUN
hjic-828	133	16	may	may	AUX
hjic-828	133	17	be	be	AUX
hjic-828	133	18	sufficient	sufficient	ADJ
hjic-828	133	19	to	to	PART
hjic-828	133	20	ensure	ensure	VERB
hjic-828	133	21	strong	strong	ADJ
hjic-828	133	22	reachability	reachability	NOUN
hjic-828	133	23	.	.	PUNCT
hjic-828	134	1	in	in	ADP
hjic-828	134	2	sec	sec	PROPN
hjic-828	134	3	.	.	PROPN
hjic-828	134	4	4	4	NUM
hjic-828	134	5	,	,	PUNCT
hjic-828	134	6	the	the	DET
hjic-828	134	7	strong	strong	ADJ
hjic-828	134	8	reachability	reachability	NOUN
hjic-828	134	9	conditions	condition	NOUN
hjic-828	134	10	in	in	ADP
hjic-828	134	11	the	the	DET
hjic-828	134	12	case	case	NOUN
hjic-828	134	13	of	of	ADP
hjic-828	134	14	oximation	oximation	NOUN
hjic-828	134	15	reactions	reaction	NOUN
hjic-828	134	16	were	be	AUX
hjic-828	134	17	investigated	investigate	VERB
hjic-828	134	18	.	.	PUNCT
hjic-828	135	1	4	4	X
hjic-828	135	2	.	.	X
hjic-828	135	3	controllability	controllability	NOUN
hjic-828	135	4	study	study	NOUN
hjic-828	135	5	of	of	ADP
hjic-828	135	6	the	the	DET
hjic-828	135	7	oximation	oximation	NOUN
hjic-828	135	8	reaction	reaction	NOUN
hjic-828	135	9	the	the	DET
hjic-828	135	10	oxidation	oxidation	NOUN
hjic-828	135	11	of	of	ADP
hjic-828	135	12	acetone	acetone	NOUN
hjic-828	135	13	with	with	ADP
hjic-828	135	14	hydroxylamine	hydroxylamine	NOUN
hjic-828	135	15	was	be	AUX
hjic-828	135	16	investigated	investigate	VERB
hjic-828	135	17	by	by	ADP
hjic-828	135	18	raman	raman	NOUN
hjic-828	135	19	spectroscopy	spectroscopy	NOUN
hjic-828	135	20	in	in	ADP
hjic-828	135	21	ref	ref	NOUN
hjic-828	135	22	.	.	PUNCT
hjic-828	136	1	[	[	X
hjic-828	136	2	5	5	NUM
hjic-828	136	3	]	]	PUNCT
hjic-828	136	4	.	.	PUNCT
hjic-828	137	1	the	the	DET
hjic-828	137	2	reaction	reaction	NOUN
hjic-828	137	3	is	be	AUX
hjic-828	137	4	strongly	strongly	ADV
hjic-828	137	5	exothermic	exothermic	ADJ
hjic-828	137	6	and	and	CCONJ
hjic-828	137	7	the	the	DET
hjic-828	137	8	concentration	concentration	NOUN
hjic-828	137	9	of	of	ADP
hjic-828	137	10	the	the	DET
hjic-828	137	11	intermediate	intermediate	ADJ
hjic-828	137	12	highly	highly	ADV
hjic-828	137	13	depends	depend	VERB
hjic-828	137	14	on	on	ADP
hjic-828	137	15	the	the	DET
hjic-828	137	16	ph	ph	NOUN
hjic-828	137	17	and	and	CCONJ
hjic-828	137	18	temperature	temperature	NOUN
hjic-828	137	19	.	.	PUNCT
hjic-828	138	1	the	the	DET
hjic-828	138	2	process	process	NOUN
hjic-828	138	3	can	can	AUX
hjic-828	138	4	be	be	AUX
hjic-828	138	5	hazardous	hazardous	ADJ
hjic-828	138	6	,	,	PUNCT
hjic-828	138	7	however	however	ADV
hjic-828	138	8	,	,	PUNCT
hjic-828	138	9	it	it	PRON
hjic-828	138	10	is	be	AUX
hjic-828	138	11	not	not	PART
hjic-828	138	12	dangerous	dangerous	ADJ
hjic-828	138	13	to	to	PART
hjic-828	138	14	run	run	VERB
hjic-828	138	15	in	in	ADP
hjic-828	138	16	a	a	DET
hjic-828	138	17	laboratory	laboratory	NOUN
hjic-828	138	18	with	with	ADP
hjic-828	138	19	low	low	ADJ
hjic-828	138	20	concentrations	concentration	NOUN
hjic-828	138	21	and	and	CCONJ
hjic-828	138	22	in	in	ADP
hjic-828	138	23	a	a	DET
hjic-828	138	24	controlled	control	VERB
hjic-828	138	25	manner	manner	NOUN
hjic-828	138	26	.	.	PUNCT
hjic-828	139	1	strong	strong	ADJ
hjic-828	139	2	reachability	reachability	NOUN
hjic-828	139	3	is	be	AUX
hjic-828	139	4	a	a	DET
hjic-828	139	5	necessary	necessary	ADJ
hjic-828	139	6	condition	condition	NOUN
hjic-828	139	7	to	to	PART
hjic-828	139	8	be	be	AUX
hjic-828	139	9	able	able	ADJ
hjic-828	139	10	to	to	PART
hjic-828	139	11	control	control	VERB
hjic-828	139	12	the	the	DET
hjic-828	139	13	reaction	reaction	NOUN
hjic-828	139	14	.	.	PUNCT
hjic-828	140	1	4.1	4.1	NUM
hjic-828	140	2	oximation	oximation	NOUN
hjic-828	140	3	reaction	reaction	NOUN
hjic-828	140	4	in	in	ADP
hjic-828	140	5	acidic	acidic	ADJ
hjic-828	140	6	medium	medium	NOUN
hjic-828	140	7	in	in	ADP
hjic-828	140	8	oximation	oximation	NOUN
hjic-828	140	9	reactions	reaction	NOUN
hjic-828	140	10	,	,	PUNCT
hjic-828	140	11	the	the	DET
hjic-828	140	12	sequence	sequence	NOUN
hjic-828	140	13	(	(	PUNCT
hjic-828	140	14	number	number	NOUN
hjic-828	140	15	and	and	CCONJ
hjic-828	140	16	nature	nature	NOUN
hjic-828	140	17	)	)	PUNCT
hjic-828	140	18	of	of	ADP
hjic-828	140	19	reaction	reaction	NOUN
hjic-828	140	20	steps	step	NOUN
hjic-828	140	21	depends	depend	VERB
hjic-828	140	22	on	on	ADP
hjic-828	140	23	the	the	DET
hjic-828	140	24	ph	ph	NOUN
hjic-828	140	25	.	.	PUNCT
hjic-828	141	1	the	the	DET
hjic-828	141	2	equations	equation	NOUN
hjic-828	141	3	of	of	ADP
hjic-828	141	4	the	the	DET
hjic-828	141	5	reaction	reaction	NOUN
hjic-828	141	6	steps	step	NOUN
hjic-828	141	7	are	be	AUX
hjic-828	141	8	different	different	ADJ
hjic-828	141	9	in	in	ADP
hjic-828	141	10	acidic	acidic	ADJ
hjic-828	141	11	and	and	CCONJ
hjic-828	141	12	weakly	weakly	ADJ
hjic-828	141	13	basic	basic	ADJ
hjic-828	141	14	media	medium	NOUN
hjic-828	141	15	.	.	PUNCT
hjic-828	142	1	in	in	ADP
hjic-828	142	2	the	the	DET
hjic-828	142	3	case	case	NOUN
hjic-828	142	4	of	of	ADP
hjic-828	142	5	acidic	acidic	ADJ
hjic-828	142	6	media	medium	NOUN
hjic-828	142	7	the	the	DET
hjic-828	142	8	reaction	reaction	NOUN
hjic-828	142	9	takes	take	VERB
hjic-828	142	10	place	place	NOUN
hjic-828	142	11	over	over	ADP
hjic-828	142	12	two	two	NUM
hjic-828	142	13	reaction	reaction	NOUN
hjic-828	142	14	steps	step	NOUN
hjic-828	142	15	as	as	SCONJ
hjic-828	142	16	given	give	VERB
hjic-828	142	17	by	by	ADP
hjic-828	142	18	for	for	ADP
hjic-828	142	19	the	the	DET
hjic-828	142	20	sake	sake	NOUN
hjic-828	142	21	of	of	ADP
hjic-828	142	22	notational	notational	ADJ
hjic-828	142	23	simplicity	simplicity	NOUN
hjic-828	142	24	,	,	PUNCT
hjic-828	142	25	the	the	DET
hjic-828	142	26	symbols	symbol	NOUN
hjic-828	142	27	a	a	DET
hjic-828	142	28	,	,	PUNCT
hjic-828	142	29	b	b	PROPN
hjic-828	142	30	,	,	PUNCT
hjic-828	142	31	c	c	NOUN
hjic-828	142	32	,	,	PUNCT
hjic-828	142	33	d	d	NOUN
hjic-828	142	34	,	,	PUNCT
hjic-828	142	35	e	e	NOUN
hjic-828	142	36	,	,	PUNCT
hjic-828	142	37	and	and	CCONJ
hjic-828	142	38	f	f	PROPN
hjic-828	142	39	will	will	AUX
hjic-828	142	40	denote	denote	VERB
hjic-828	142	41	the	the	DET
hjic-828	142	42	species	specie	NOUN
hjic-828	142	43	such	such	ADJ
hjic-828	142	44	that	that	SCONJ
hjic-828	142	45	the	the	DET
hjic-828	142	46	two	two	NUM
hjic-828	142	47	reaction	reaction	NOUN
hjic-828	142	48	steps	step	NOUN
hjic-828	142	49	above	above	ADP
hjic-828	142	50	read	read	VERB
hjic-828	142	51	:	:	PUNCT
hjic-828	142	52	a	a	DET
hjic-828	142	53	+	+	X
hjic-828	142	54	b	b	X
hjic-828	142	55	k1−−→	k1−−→	PROPN
hjic-828	142	56	c	c	PROPN
hjic-828	142	57	(	(	PUNCT
hjic-828	142	58	11	11	NUM
hjic-828	142	59	)	)	PUNCT
hjic-828	142	60	c	c	NOUN
hjic-828	143	1	+	+	CCONJ
hjic-828	143	2	d	d	X
hjic-828	143	3	k2−−→	k2−−→	X
hjic-828	143	4	e	e	PROPN
hjic-828	143	5	+	+	PROPN
hjic-828	143	6	f.	f.	PROPN
hjic-828	143	7	(	(	PUNCT
hjic-828	143	8	12	12	NUM
hjic-828	143	9	)	)	PUNCT
hjic-828	143	10	let	let	VERB
hjic-828	143	11	us	we	PRON
hjic-828	143	12	denote	denote	VERB
hjic-828	143	13	the	the	DET
hjic-828	143	14	concentrations	concentration	NOUN
hjic-828	143	15	of	of	ADP
hjic-828	143	16	the	the	DET
hjic-828	143	17	species	specie	NOUN
hjic-828	143	18	by	by	ADP
hjic-828	143	19	a	a	DET
hjic-828	143	20	,	,	PUNCT
hjic-828	143	21	b	b	PROPN
hjic-828	143	22	,	,	PUNCT
hjic-828	143	23	c	c	NOUN
hjic-828	143	24	,	,	PUNCT
hjic-828	143	25	d	d	NOUN
hjic-828	143	26	,	,	PUNCT
hjic-828	143	27	e	e	NOUN
hjic-828	143	28	,	,	PUNCT
hjic-828	143	29	f	f	PROPN
hjic-828	143	30	≥	≥	NUM
hjic-828	143	31	0	0	NUM
hjic-828	143	32	.	.	PUNCT
hjic-828	144	1	it	it	PRON
hjic-828	144	2	is	be	AUX
hjic-828	144	3	assumed	assume	VERB
hjic-828	144	4	that	that	SCONJ
hjic-828	144	5	the	the	DET
hjic-828	144	6	reaction	reaction	NOUN
hjic-828	144	7	rate	rate	NOUN
hjic-828	144	8	coefficients	coefficient	NOUN
hjic-828	144	9	k1	k1	PROPN
hjic-828	144	10	,	,	PUNCT
hjic-828	144	11	k2	k2	NOUN
hjic-828	144	12	>	>	X
hjic-828	144	13	0	0	X
hjic-828	144	14	.	.	PUNCT
hjic-828	144	15	theorem	theorem	ADJ
hjic-828	144	16	2	2	NUM
hjic-828	144	17	implies	imply	VERB
hjic-828	144	18	that	that	SCONJ
hjic-828	144	19	the	the	DET
hjic-828	144	20	reaction	reaction	NOUN
hjic-828	144	21	is	be	AUX
hjic-828	144	22	strongly	strongly	ADV
hjic-828	144	23	reachable	reachable	ADJ
hjic-828	144	24	,	,	PUNCT
hjic-828	144	25	provided	provide	VERB
hjic-828	144	26	that	that	SCONJ
hjic-828	144	27	the	the	DET
hjic-828	144	28	conditions	condition	NOUN
hjic-828	144	29	are	be	AUX
hjic-828	144	30	met	meet	VERB
hjic-828	144	31	.	.	PUNCT
hjic-828	145	1	it	it	PRON
hjic-828	145	2	follows	follow	VERB
hjic-828	145	3	from	from	ADP
hjic-828	145	4	strong	strong	ADJ
hjic-828	145	5	reachability	reachability	NOUN
hjic-828	145	6	that	that	SCONJ
hjic-828	145	7	it	it	PRON
hjic-828	145	8	is	be	AUX
hjic-828	145	9	possible	possible	ADJ
hjic-828	145	10	to	to	PART
hjic-828	145	11	arrive	arrive	VERB
hjic-828	145	12	at	at	ADP
hjic-828	145	13	any	any	DET
hjic-828	145	14	concentrations	concentration	NOUN
hjic-828	145	15	of	of	ADP
hjic-828	145	16	m	m	NOUN
hjic-828	145	17	−	−	PROPN
hjic-828	145	18	δ	δ	PROPN
hjic-828	145	19	species	specie	NOUN
hjic-828	145	20	and	and	CCONJ
hjic-828	145	21	at	at	ADP
hjic-828	145	22	any	any	DET
hjic-828	145	23	temperatures	temperature	NOUN
hjic-828	145	24	by	by	ADP
hjic-828	145	25	suitable	suitable	ADJ
hjic-828	145	26	manipulation	manipulation	NOUN
hjic-828	145	27	of	of	ADP
hjic-828	145	28	the	the	DET
hjic-828	145	29	input	input	NOUN
hjic-828	145	30	.	.	PUNCT
hjic-828	146	1	recall	recall	VERB
hjic-828	146	2	that	that	SCONJ
hjic-828	146	3	there	there	PRON
hjic-828	146	4	is	be	VERB
hjic-828	146	5	no	no	DET
hjic-828	146	6	guarantee	guarantee	NOUN
hjic-828	146	7	that	that	SCONJ
hjic-828	146	8	such	such	ADJ
hjic-828	146	9	concentrations	concentration	NOUN
hjic-828	146	10	and	and	CCONJ
hjic-828	146	11	temperatures	temperature	NOUN
hjic-828	146	12	also	also	ADV
hjic-828	146	13	define	define	VERB
hjic-828	146	14	a	a	DET
hjic-828	146	15	steady	steady	ADJ
hjic-828	146	16	-	-	PUNCT
hjic-828	146	17	state	state	NOUN
hjic-828	146	18	for	for	ADP
hjic-828	146	19	the	the	DET
hjic-828	146	20	system	system	NOUN
hjic-828	146	21	.	.	PUNCT
hjic-828	147	1	note	note	VERB
hjic-828	147	2	that	that	SCONJ
hjic-828	147	3	theorem	theorem	VERB
hjic-828	147	4	2	2	NUM
hjic-828	147	5	only	only	ADV
hjic-828	147	6	provides	provide	VERB
hjic-828	147	7	a	a	DET
hjic-828	147	8	sufficient	sufficient	ADJ
hjic-828	147	9	condition	condition	NOUN
hjic-828	147	10	for	for	ADP
hjic-828	147	11	strong	strong	ADJ
hjic-828	147	12	reachability	reachability	NOUN
hjic-828	147	13	.	.	PUNCT
hjic-828	148	1	for	for	ADP
hjic-828	148	2	chemical	chemical	ADJ
hjic-828	148	3	reactions	reaction	NOUN
hjic-828	148	4	,	,	PUNCT
hjic-828	148	5	the	the	DET
hjic-828	148	6	positivity	positivity	NOUN
hjic-828	148	7	condition	condition	NOUN
hjic-828	148	8	of	of	ADP
hjic-828	148	9	activation	activation	NOUN
hjic-828	148	10	energies	energy	NOUN
hjic-828	148	11	is	be	AUX
hjic-828	148	12	almost	almost	ADV
hjic-828	148	13	always	always	ADV
hjic-828	148	14	satisfied	satisfied	ADJ
hjic-828	148	15	.	.	PUNCT
hjic-828	149	1	considering	consider	VERB
hjic-828	149	2	the	the	DET
hjic-828	149	3	reaction	reaction	NOUN
hjic-828	149	4	steps	step	NOUN
hjic-828	149	5	of	of	ADP
hjic-828	149	6	the	the	DET
hjic-828	149	7	oximation	oximation	NOUN
hjic-828	149	8	reaction	reaction	NOUN
hjic-828	149	9	in	in	ADP
hjic-828	149	10	acidic	acidic	ADJ
hjic-828	149	11	media	medium	NOUN
hjic-828	149	12	the	the	DET
hjic-828	149	13	two	two	NUM
hjic-828	149	14	remaining	remain	VERB
hjic-828	149	15	conditions	condition	NOUN
hjic-828	149	16	of	of	ADP
hjic-828	149	17	strong	strong	ADJ
hjic-828	149	18	reachability	reachability	NOUN
hjic-828	149	19	will	will	AUX
hjic-828	149	20	be	be	AUX
hjic-828	149	21	studied	study	VERB
hjic-828	149	22	:	:	PUNCT
hjic-828	149	23	(	(	PUNCT
hjic-828	149	24	1	1	X
hjic-828	149	25	)	)	PUNCT
hjic-828	149	26	the	the	DET
hjic-828	149	27	positivity	positivity	NOUN
hjic-828	149	28	of	of	ADP
hjic-828	149	29	the	the	DET
hjic-828	149	30	concentration	concentration	NOUN
hjic-828	149	31	of	of	ADP
hjic-828	149	32	all	all	DET
hjic-828	149	33	reactant	reactant	NOUN
hjic-828	149	34	species	specie	NOUN
hjic-828	149	35	;	;	PUNCT
hjic-828	149	36	(	(	PUNCT
hjic-828	149	37	2	2	X
hjic-828	149	38	)	)	PUNCT
hjic-828	149	39	the	the	DET
hjic-828	149	40	distinctness	distinctness	NOUN
hjic-828	149	41	of	of	ADP
hjic-828	149	42	activation	activation	NOUN
hjic-828	149	43	energies	energy	NOUN
hjic-828	149	44	.	.	PUNCT
hjic-828	150	1	let	let	VERB
hjic-828	150	2	us	we	PRON
hjic-828	150	3	now	now	ADV
hjic-828	150	4	suppose	suppose	VERB
hjic-828	150	5	that	that	SCONJ
hjic-828	150	6	the	the	DET
hjic-828	150	7	system	system	NOUN
hjic-828	150	8	in	in	ADP
hjic-828	150	9	eqs	eqs	PROPN
hjic-828	150	10	.	.	PUNCT
hjic-828	151	1	11–12	11–12	NUM
hjic-828	151	2	is	be	AUX
hjic-828	151	3	strongly	strongly	ADV
hjic-828	151	4	reachable	reachable	ADJ
hjic-828	151	5	.	.	PUNCT
hjic-828	152	1	the	the	DET
hjic-828	152	2	stoichiometric	stoichiometric	ADJ
hjic-828	152	3	matrix	matrix	NOUN
hjic-828	152	4	for	for	ADP
hjic-828	152	5	the	the	DET
hjic-828	152	6	re46(2	re46(2	NOUN
hjic-828	152	7	)	)	PUNCT
hjic-828	152	8	pp	pp	ADP
hjic-828	152	9	.	.	PUNCT
hjic-828	153	1	19	19	NUM
hjic-828	153	2	-	-	SYM
hjic-828	153	3	25	25	NUM
hjic-828	153	4	(	(	PUNCT
hjic-828	153	5	2018	2018	NUM
hjic-828	153	6	)	)	PUNCT
hjic-828	153	7	22	22	NUM
hjic-828	153	8	virágh	virágh	NOUN
hjic-828	153	9	and	and	CCONJ
hjic-828	153	10	kiss	kiss	VERB
hjic-828	153	11	action	action	NOUN
hjic-828	153	12	steps	step	NOUN
hjic-828	153	13	reads	read	VERB
hjic-828	153	14	:	:	PUNCT
hjic-828	153	15	γ	γ	X
hjic-828	153	16	=	=	PUNCT
hjic-828	153	17			PROPN
hjic-828	153	18	−1	−1	NOUN
hjic-828	153	19	0	0	NUM
hjic-828	153	20	−1	−1	NOUN
hjic-828	153	21	0	0	NUM
hjic-828	153	22	1	1	NUM
hjic-828	153	23	−1	−1	NOUN
hjic-828	153	24	0	0	NUM
hjic-828	153	25	−1	−1	NOUN
hjic-828	153	26	0	0	NUM
hjic-828	153	27	1	1	NUM
hjic-828	153	28	0	0	NUM
hjic-828	153	29	1	1	NUM
hjic-828	153	30			ADP
hjic-828	153	31	(	(	PUNCT
hjic-828	153	32	13	13	NUM
hjic-828	153	33	)	)	PUNCT
hjic-828	153	34	and	and	CCONJ
hjic-828	153	35	it	it	PRON
hjic-828	153	36	is	be	AUX
hjic-828	153	37	easy	easy	ADJ
hjic-828	153	38	to	to	PART
hjic-828	153	39	verify	verify	VERB
hjic-828	153	40	that	that	PRON
hjic-828	153	41	δ	δ	PROPN
hjic-828	153	42	=	=	NOUN
hjic-828	153	43	2	2	NUM
hjic-828	153	44	in	in	ADP
hjic-828	153	45	this	this	DET
hjic-828	153	46	case	case	NOUN
hjic-828	153	47	.	.	PUNCT
hjic-828	154	1	the	the	DET
hjic-828	154	2	differential	differential	ADJ
hjic-828	154	3	equation	equation	NOUN
hjic-828	154	4	of	of	ADP
hjic-828	154	5	the	the	DET
hjic-828	154	6	reaction:	reaction:	NOUN
hjic-828	154	7	ȧ	ȧ	PROPN
hjic-828	154	8	ḃ	ḃ	PROPN
hjic-828	154	9	ċ	ċ	PROPN
hjic-828	154	10	ḋ	ḋ	PROPN
hjic-828	154	11	ė	ė	PROPN
hjic-828	154	12	ḟ	ḟ	PROPN
hjic-828	154	13	ṫ	ṫ	PROPN
hjic-828	154	14			NOUN
hjic-828	155	1	=	=	PRON
hjic-828	155	2			X
hjic-828	155	3	−k1ab	−k1ab	NUM
hjic-828	155	4	−k1ab	−k1ab	NUM
hjic-828	155	5	k1ab−	k1ab−	NOUN
hjic-828	155	6	k2cd	k2cd	PUNCT
hjic-828	155	7	−k2cd	−k2cd	NUM
hjic-828	155	8	k2cd	k2cd	PUNCT
hjic-828	155	9	k2cd	k2cd	X
hjic-828	155	10	k1	k1	PROPN
hjic-828	155	11	β	β	X
hjic-828	155	12	ab+	ab+	PROPN
hjic-828	155	13	k2	k2	PROPN
hjic-828	155	14	β	β	PROPN
hjic-828	155	15	cd	cd	PROPN
hjic-828	155	16			PROPN
hjic-828	156	1	+	+	CCONJ
hjic-828	156	2			ADJ
hjic-828	156	3	0	0	NUM
hjic-828	156	4	0	0	NUM
hjic-828	156	5	0	0	NUM
hjic-828	156	6	0	0	NUM
hjic-828	156	7	0	0	NUM
hjic-828	156	8	0	0	NUM
hjic-828	156	9	1	1	NUM
hjic-828	156	10			NOUN
hjic-828	156	11	u	u	NOUN
hjic-828	156	12	=	=	NOUN
hjic-828	156	13	=	=	SYM
hjic-828	156	14	f(ξ	f(ξ	X
hjic-828	156	15	)	)	PUNCT
hjic-828	157	1	+	+	NUM
hjic-828	157	2	g(ξ)u	g(ξ)u	PROPN
hjic-828	157	3	(	(	PUNCT
hjic-828	157	4	14	14	NUM
hjic-828	157	5	)	)	PUNCT
hjic-828	157	6	is	be	AUX
hjic-828	157	7	in	in	ADP
hjic-828	157	8	a	a	DET
hjic-828	157	9	form	form	NOUN
hjic-828	157	10	similar	similar	ADJ
hjic-828	157	11	to	to	ADP
hjic-828	157	12	eq	eq	NOUN
hjic-828	157	13	.	.	PROPN
hjic-828	157	14	1	1	NUM
hjic-828	157	15	,	,	PUNCT
hjic-828	157	16	where	where	SCONJ
hjic-828	157	17	ξ	ξ	X
hjic-828	157	18	=	=	SYM
hjic-828	157	19	(	(	PUNCT
hjic-828	157	20	a	a	PRON
hjic-828	157	21	,	,	PUNCT
hjic-828	157	22	b	b	NOUN
hjic-828	157	23	,	,	PUNCT
hjic-828	157	24	c	c	NOUN
hjic-828	157	25	,	,	PUNCT
hjic-828	157	26	d	d	NOUN
hjic-828	157	27	,	,	PUNCT
hjic-828	157	28	e	e	NOUN
hjic-828	157	29	,	,	PUNCT
hjic-828	157	30	f	f	PROPN
hjic-828	157	31	,	,	PUNCT
hjic-828	157	32	t	t	PROPN
hjic-828	157	33	)	)	PUNCT
hjic-828	157	34	t	t	PROPN
hjic-828	157	35	and	and	CCONJ
hjic-828	157	36	the	the	DET
hjic-828	157	37	vector	vector	NOUN
hjic-828	157	38	field	field	NOUN
hjic-828	157	39	g(ξ	g(ξ	PROPN
hjic-828	157	40	)	)	PUNCT
hjic-828	157	41	is	be	AUX
hjic-828	157	42	constant	constant	ADJ
hjic-828	157	43	.	.	PUNCT
hjic-828	158	1	since	since	SCONJ
hjic-828	158	2	the	the	DET
hjic-828	158	3	rank	rank	NOUN
hjic-828	158	4	of	of	ADP
hjic-828	158	5	the	the	DET
hjic-828	158	6	stoichiometric	stoichiometric	ADJ
hjic-828	158	7	matrix	matrix	NOUN
hjic-828	158	8	γ	γ	NOUN
hjic-828	158	9	is	be	AUX
hjic-828	158	10	2	2	NUM
hjic-828	158	11	and	and	CCONJ
hjic-828	158	12	the	the	DET
hjic-828	158	13	temperature	temperature	NOUN
hjic-828	158	14	is	be	AUX
hjic-828	158	15	a	a	DET
hjic-828	158	16	scalar	scalar	ADJ
hjic-828	158	17	quantity	quantity	NOUN
hjic-828	158	18	,	,	PUNCT
hjic-828	158	19	theorem	theorem	VERB
hjic-828	158	20	1	1	NUM
hjic-828	158	21	implies	imply	VERB
hjic-828	158	22	that	that	SCONJ
hjic-828	158	23	the	the	DET
hjic-828	158	24	system	system	NOUN
hjic-828	158	25	is	be	AUX
hjic-828	158	26	strongly	strongly	ADV
hjic-828	158	27	reachable	reachable	ADJ
hjic-828	158	28	if	if	SCONJ
hjic-828	158	29	dim{∆}c	dim{∆}c	NOUN
hjic-828	158	30	=	=	SYM
hjic-828	158	31	2	2	NUM
hjic-828	158	32	+	+	SYM
hjic-828	158	33	1	1	NUM
hjic-828	158	34	=	=	SYM
hjic-828	158	35	3	3	NUM
hjic-828	158	36	.	.	PUNCT
hjic-828	159	1	hence	hence	ADV
hjic-828	159	2	,	,	PUNCT
hjic-828	159	3	to	to	PART
hjic-828	159	4	study	study	VERB
hjic-828	159	5	strong	strong	ADJ
hjic-828	159	6	reachability	reachability	NOUN
hjic-828	159	7	,	,	PUNCT
hjic-828	159	8	the	the	DET
hjic-828	159	9	number	number	NOUN
hjic-828	159	10	of	of	ADP
hjic-828	159	11	linearly	linearly	ADV
hjic-828	159	12	independent	independent	ADJ
hjic-828	159	13	vector	vector	NOUN
hjic-828	159	14	fields	field	NOUN
hjic-828	159	15	spanning	span	VERB
hjic-828	159	16	the	the	DET
hjic-828	159	17	lie	lie	NOUN
hjic-828	159	18	algebra	algebra	NOUN
hjic-828	159	19	generated	generate	VERB
hjic-828	159	20	by	by	ADP
hjic-828	159	21	the	the	DET
hjic-828	159	22	vector	vector	NOUN
hjic-828	159	23	fields	field	NOUN
hjic-828	159	24	adgf	adgf	VERB
hjic-828	159	25	and	and	CCONJ
hjic-828	159	26	g	g	NOUN
hjic-828	159	27	must	must	AUX
hjic-828	159	28	be	be	AUX
hjic-828	159	29	determined	determine	VERB
hjic-828	159	30	.	.	PUNCT
hjic-828	160	1	the	the	DET
hjic-828	160	2	lie	lie	NOUN
hjic-828	160	3	brackets	bracket	NOUN
hjic-828	160	4	adgf	adgf	VERB
hjic-828	160	5	and	and	CCONJ
hjic-828	160	6	ad2	ad2	PROPN
hjic-828	160	7	gf	gf	PROPN
hjic-828	160	8	read	read	VERB
hjic-828	160	9	:	:	PUNCT
hjic-828	160	10	ad(i	ad(i	X
hjic-828	160	11	)	)	PUNCT
hjic-828	161	1	g	g	PROPN
hjic-828	161	2	f	f	NOUN
hjic-828	161	3	=	=	PUNCT
hjic-828	161	4			NOUN
hjic-828	161	5	−k(i)1	−k(i)1	X
hjic-828	161	6	ab	ab	PROPN
hjic-828	161	7	−k(i)1	−k(i)1	NOUN
hjic-828	161	8	ab	ab	PROPN
hjic-828	161	9	k	k	PROPN
hjic-828	161	10	(	(	PUNCT
hjic-828	161	11	i	i	NOUN
hjic-828	161	12	)	)	PUNCT
hjic-828	161	13	1	1	NUM
hjic-828	162	1	ab−	ab−	NUM
hjic-828	162	2	k(i)2	k(i)2	ADJ
hjic-828	162	3	cd	cd	PROPN
hjic-828	162	4	−k(i)2	−k(i)2	PROPN
hjic-828	162	5	cd	cd	PROPN
hjic-828	162	6	k	k	PROPN
hjic-828	162	7	(	(	PUNCT
hjic-828	162	8	i	i	NOUN
hjic-828	162	9	)	)	PUNCT
hjic-828	162	10	2	2	NUM
hjic-828	162	11	cd	cd	NOUN
hjic-828	162	12	k	k	PROPN
hjic-828	162	13	(	(	PUNCT
hjic-828	162	14	i	i	NOUN
hjic-828	162	15	)	)	PUNCT
hjic-828	162	16	2	2	NUM
hjic-828	162	17	cd	cd	NOUN
hjic-828	162	18	k	k	PROPN
hjic-828	162	19	(	(	PUNCT
hjic-828	162	20	i	i	NOUN
hjic-828	162	21	)	)	PUNCT
hjic-828	162	22	1	1	NUM
hjic-828	162	23	β	β	X
hjic-828	162	24	ab+	ab+	PROPN
hjic-828	162	25	k	k	PROPN
hjic-828	162	26	(	(	PUNCT
hjic-828	162	27	i	i	NOUN
hjic-828	162	28	)	)	PUNCT
hjic-828	162	29	2	2	NUM
hjic-828	162	30	β	β	X
hjic-828	162	31	cd	cd	NOUN
hjic-828	162	32			PROPN
hjic-828	162	33	,	,	PUNCT
hjic-828	162	34	(	(	PUNCT
hjic-828	162	35	15	15	NUM
hjic-828	162	36	)	)	PUNCT
hjic-828	162	37	where	where	SCONJ
hjic-828	162	38	i	i	PRON
hjic-828	162	39	∈	∈	PROPN
hjic-828	162	40	{	{	PUNCT
hjic-828	162	41	1	1	NUM
hjic-828	162	42	,	,	PUNCT
hjic-828	162	43	2	2	NUM
hjic-828	162	44	}	}	PUNCT
hjic-828	162	45	.	.	PUNCT
hjic-828	163	1	to	to	PART
hjic-828	163	2	study	study	VERB
hjic-828	163	3	the	the	DET
hjic-828	163	4	dimension	dimension	NOUN
hjic-828	163	5	of	of	ADP
hjic-828	163	6	the	the	DET
hjic-828	163	7	controllability	controllability	NOUN
hjic-828	163	8	distribution	distribution	NOUN
hjic-828	163	9	∆c	∆c	NOUN
hjic-828	163	10	one	one	NUM
hjic-828	163	11	has	have	VERB
hjic-828	163	12	to	to	PART
hjic-828	163	13	determine	determine	VERB
hjic-828	163	14	the	the	DET
hjic-828	163	15	rank	rank	NOUN
hjic-828	163	16	of	of	ADP
hjic-828	163	17	the	the	DET
hjic-828	163	18	matrix	matrix	NOUN
hjic-828	163	19	whose	whose	DET
hjic-828	163	20	columns	column	NOUN
hjic-828	163	21	are	be	AUX
hjic-828	163	22	g	g	NOUN
hjic-828	163	23	,	,	PUNCT
hjic-828	163	24	adgf	adgf	NOUN
hjic-828	163	25	and	and	CCONJ
hjic-828	163	26	ad2	ad2	PROPN
hjic-828	163	27	gf	gf	PROPN
hjic-828	163	28	which	which	PRON
hjic-828	163	29	reads	read	VERB
hjic-828	163	30	:	:	PUNCT
hjic-828	163	31	(	(	PUNCT
hjic-828	163	32	adgf	adgf	PROPN
hjic-828	163	33	ad2	ad2	PROPN
hjic-828	163	34	gf	gf	PROPN
hjic-828	163	35	g	g	PROPN
hjic-828	163	36	)	)	PUNCT
hjic-828	164	1	=	=	PUNCT
hjic-828	165	1	=	=	SYM
hjic-828	165	2			NOUN
hjic-828	165	3	−k(1)1	−k(1)1	PROPN
hjic-828	165	4	ab	ab	PROPN
hjic-828	165	5	−k(2)1	−k(2)1	PUNCT
hjic-828	165	6	ab	ab	PROPN
hjic-828	165	7	0	0	NUM
hjic-828	165	8	−k(1)1	−k(1)1	PROPN
hjic-828	165	9	ab	ab	PROPN
hjic-828	165	10	−k(2)1	−k(2)1	PUNCT
hjic-828	165	11	ab	ab	PROPN
hjic-828	165	12	0	0	NUM
hjic-828	166	1	k	k	X
hjic-828	166	2	(	(	PUNCT
hjic-828	166	3	1	1	NUM
hjic-828	166	4	)	)	PUNCT
hjic-828	166	5	1	1	NUM
hjic-828	166	6	ab−	ab−	NUM
hjic-828	166	7	k(1)2	k(1)2	PROPN
hjic-828	166	8	cd	cd	PROPN
hjic-828	166	9	k	k	PROPN
hjic-828	166	10	(	(	PUNCT
hjic-828	166	11	2	2	NUM
hjic-828	166	12	)	)	PUNCT
hjic-828	166	13	1	1	NUM
hjic-828	166	14	ab−	ab−	NUM
hjic-828	166	15	k(2)2	k(2)2	NOUN
hjic-828	166	16	cd	cd	PROPN
hjic-828	166	17	0	0	NUM
hjic-828	166	18	−k(1)2	−k(1)2	PROPN
hjic-828	166	19	cd	cd	PROPN
hjic-828	166	20	−k(2)2	−k(2)2	PROPN
hjic-828	166	21	cd	cd	PROPN
hjic-828	166	22	0	0	NUM
hjic-828	167	1	k	k	X
hjic-828	167	2	(	(	PUNCT
hjic-828	167	3	1	1	NUM
hjic-828	167	4	)	)	SYM
hjic-828	167	5	2	2	NUM
hjic-828	167	6	cd	cd	NOUN
hjic-828	167	7	k	k	PROPN
hjic-828	167	8	(	(	PUNCT
hjic-828	167	9	2	2	NUM
hjic-828	167	10	)	)	PUNCT
hjic-828	167	11	2	2	NUM
hjic-828	167	12	cd	cd	NOUN
hjic-828	167	13	0	0	NUM
hjic-828	168	1	k	k	X
hjic-828	168	2	(	(	PUNCT
hjic-828	168	3	1	1	NUM
hjic-828	168	4	)	)	SYM
hjic-828	168	5	2	2	NUM
hjic-828	168	6	cd	cd	NOUN
hjic-828	168	7	k	k	PROPN
hjic-828	168	8	(	(	PUNCT
hjic-828	168	9	2	2	NUM
hjic-828	168	10	)	)	PUNCT
hjic-828	168	11	2	2	NUM
hjic-828	168	12	cd	cd	NOUN
hjic-828	168	13	0	0	NUM
hjic-828	169	1	k	k	X
hjic-828	169	2	(	(	PUNCT
hjic-828	169	3	1	1	NUM
hjic-828	169	4	)	)	PUNCT
hjic-828	169	5	1	1	NUM
hjic-828	169	6	β	β	X
hjic-828	169	7	ab+	ab+	PROPN
hjic-828	169	8	k	k	PROPN
hjic-828	169	9	(	(	PUNCT
hjic-828	169	10	1	1	NUM
hjic-828	169	11	)	)	PUNCT
hjic-828	169	12	2	2	NUM
hjic-828	169	13	β	β	X
hjic-828	169	14	cd	cd	PROPN
hjic-828	169	15	k	k	PROPN
hjic-828	169	16	(	(	PUNCT
hjic-828	169	17	2	2	NUM
hjic-828	169	18	)	)	PUNCT
hjic-828	169	19	1	1	NUM
hjic-828	169	20	β	β	X
hjic-828	169	21	ab+	ab+	PROPN
hjic-828	169	22	k	k	PROPN
hjic-828	169	23	(	(	PUNCT
hjic-828	169	24	2	2	NUM
hjic-828	169	25	)	)	PUNCT
hjic-828	169	26	2	2	NUM
hjic-828	169	27	β	β	X
hjic-828	169	28	cd	cd	NOUN
hjic-828	169	29	1	1	NUM
hjic-828	169	30			PROPN
hjic-828	169	31	.	.	PUNCT
hjic-828	170	1	(	(	PUNCT
hjic-828	170	2	16	16	NUM
hjic-828	170	3	)	)	PUNCT
hjic-828	170	4	the	the	DET
hjic-828	170	5	last	last	ADJ
hjic-828	170	6	row	row	NOUN
hjic-828	170	7	is	be	AUX
hjic-828	170	8	linearly	linearly	ADV
hjic-828	170	9	independent	independent	ADJ
hjic-828	170	10	of	of	ADP
hjic-828	170	11	all	all	DET
hjic-828	170	12	other	other	ADJ
hjic-828	170	13	rows	row	NOUN
hjic-828	170	14	in	in	ADP
hjic-828	170	15	the	the	DET
hjic-828	170	16	matrix	matrix	NOUN
hjic-828	170	17	of	of	ADP
hjic-828	170	18	eq	eq	PROPN
hjic-828	170	19	.	.	PROPN
hjic-828	170	20	16	16	NUM
hjic-828	170	21	,	,	PUNCT
hjic-828	170	22	hence	hence	ADV
hjic-828	170	23	,	,	PUNCT
hjic-828	170	24	by	by	ADP
hjic-828	170	25	deleting	delete	VERB
hjic-828	170	26	the	the	DET
hjic-828	170	27	last	last	ADJ
hjic-828	170	28	row	row	NOUN
hjic-828	170	29	and	and	CCONJ
hjic-828	170	30	column	column	NOUN
hjic-828	170	31	from	from	ADP
hjic-828	170	32	the	the	DET
hjic-828	170	33	matix	matix	NOUN
hjic-828	170	34	,	,	PUNCT
hjic-828	170	35	the	the	DET
hjic-828	170	36	rank	rank	NOUN
hjic-828	170	37	will	will	AUX
hjic-828	170	38	be	be	AUX
hjic-828	170	39	decreased	decrease	VERB
hjic-828	170	40	by	by	ADP
hjic-828	170	41	1	1	NUM
hjic-828	170	42	.	.	PUNCT
hjic-828	171	1	the	the	DET
hjic-828	171	2	remaining	remain	VERB
hjic-828	171	3	matrix	matrix	NOUN
hjic-828	171	4	is	be	AUX
hjic-828	171	5	denoted	denote	VERB
hjic-828	171	6	by	by	ADP
hjic-828	171	7	θ	θ	PROPN
hjic-828	171	8	and	and	CCONJ
hjic-828	171	9	defined	define	VERB
hjic-828	171	10	as	as	ADP
hjic-828	171	11	θ	θ	X
hjic-828	171	12	=	=	SYM
hjic-828	171	13			ADJ
hjic-828	171	14	−k(1)1	−k(1)1	PROPN
hjic-828	171	15	ab	ab	PROPN
hjic-828	171	16	−k(2)1	−k(2)1	PROPN
hjic-828	171	17	ab	ab	PROPN
hjic-828	171	18	−k(1)1	−k(1)1	PROPN
hjic-828	171	19	ab	ab	PROPN
hjic-828	171	20	−k(2)1	−k(2)1	PROPN
hjic-828	171	21	ab	ab	PROPN
hjic-828	171	22	k	k	PROPN
hjic-828	171	23	(	(	PUNCT
hjic-828	171	24	1	1	NUM
hjic-828	171	25	)	)	PUNCT
hjic-828	171	26	1	1	NUM
hjic-828	171	27	ab−	ab−	NUM
hjic-828	171	28	k(1)2	k(1)2	PROPN
hjic-828	171	29	cd	cd	PROPN
hjic-828	171	30	k	k	PROPN
hjic-828	171	31	(	(	PUNCT
hjic-828	171	32	2	2	NUM
hjic-828	171	33	)	)	PUNCT
hjic-828	171	34	1	1	NUM
hjic-828	172	1	ab−	ab−	NUM
hjic-828	172	2	k(2)2	k(2)2	NOUN
hjic-828	172	3	cd	cd	PROPN
hjic-828	172	4	−k(1)2	−k(1)2	PROPN
hjic-828	172	5	cd	cd	PROPN
hjic-828	172	6	−k(2)2	−k(2)2	PROPN
hjic-828	172	7	cd	cd	PROPN
hjic-828	172	8	k	k	PROPN
hjic-828	172	9	(	(	PUNCT
hjic-828	172	10	1	1	NUM
hjic-828	172	11	)	)	SYM
hjic-828	172	12	2	2	NUM
hjic-828	172	13	cd	cd	NOUN
hjic-828	172	14	k	k	PROPN
hjic-828	172	15	(	(	PUNCT
hjic-828	172	16	2	2	NUM
hjic-828	172	17	)	)	PUNCT
hjic-828	172	18	2	2	NUM
hjic-828	172	19	cd	cd	NOUN
hjic-828	172	20	k	k	PROPN
hjic-828	172	21	(	(	PUNCT
hjic-828	172	22	1	1	NUM
hjic-828	172	23	)	)	SYM
hjic-828	172	24	2	2	NUM
hjic-828	172	25	cd	cd	NOUN
hjic-828	172	26	k	k	PROPN
hjic-828	172	27	(	(	PUNCT
hjic-828	172	28	2	2	NUM
hjic-828	172	29	)	)	SYM
hjic-828	172	30	2	2	NUM
hjic-828	172	31	cd	cd	NOUN
hjic-828	172	32			PROPN
hjic-828	172	33	.	.	PUNCT
hjic-828	173	1	(	(	PUNCT
hjic-828	173	2	17	17	NUM
hjic-828	173	3	)	)	PUNCT
hjic-828	173	4	it	it	PRON
hjic-828	173	5	is	be	AUX
hjic-828	173	6	clear	clear	ADJ
hjic-828	173	7	that	that	SCONJ
hjic-828	173	8	the	the	DET
hjic-828	173	9	condition	condition	NOUN
hjic-828	173	10	dim{∆c	dim{∆c	VERB
hjic-828	173	11	}	}	PUNCT
hjic-828	173	12	=	=	SYM
hjic-828	173	13	3	3	NUM
hjic-828	173	14	holds	hold	VERB
hjic-828	173	15	true	true	ADJ
hjic-828	173	16	if	if	SCONJ
hjic-828	174	1	and	and	CCONJ
hjic-828	174	2	only	only	ADV
hjic-828	174	3	if	if	SCONJ
hjic-828	174	4	rank(θ	rank(θ	PROPN
hjic-828	174	5	)	)	PUNCT
hjic-828	174	6	=	=	SYM
hjic-828	175	1	2	2	X
hjic-828	175	2	.	.	X
hjic-828	176	1	it	it	PRON
hjic-828	176	2	is	be	AUX
hjic-828	176	3	easy	easy	ADJ
hjic-828	176	4	to	to	PART
hjic-828	176	5	see	see	VERB
hjic-828	176	6	that	that	SCONJ
hjic-828	176	7	the	the	DET
hjic-828	176	8	matrix	matrix	NOUN
hjic-828	176	9	θ	θ	NOUN
hjic-828	176	10	can	can	AUX
hjic-828	176	11	be	be	AUX
hjic-828	176	12	factorized	factorize	VERB
hjic-828	176	13	as	as	ADP
hjic-828	176	14	θ	θ	X
hjic-828	176	15	=	=	SYM
hjic-828	176	16			PROPN
hjic-828	176	17	−ab	−ab	NOUN
hjic-828	176	18	0	0	NUM
hjic-828	177	1	−ab	−ab	NOUN
hjic-828	177	2	0	0	NUM
hjic-828	177	3	ab	ab	PROPN
hjic-828	177	4	−cd	−cd	PROPN
hjic-828	177	5	0	0	NUM
hjic-828	177	6	−cd	−cd	NOUN
hjic-828	177	7	0	0	NUM
hjic-828	177	8	cd	cd	PROPN
hjic-828	177	9	0	0	NUM
hjic-828	177	10	cd	cd	PROPN
hjic-828	177	11			PROPN
hjic-828	177	12	(	(	PUNCT
hjic-828	177	13	k	k	X
hjic-828	177	14	(	(	PUNCT
hjic-828	177	15	1	1	NUM
hjic-828	177	16	)	)	PUNCT
hjic-828	177	17	1	1	NUM
hjic-828	177	18	k	k	NOUN
hjic-828	177	19	(	(	PUNCT
hjic-828	177	20	2	2	NUM
hjic-828	177	21	)	)	PUNCT
hjic-828	177	22	1	1	NUM
hjic-828	177	23	k	k	NOUN
hjic-828	177	24	(	(	PUNCT
hjic-828	177	25	1	1	NUM
hjic-828	177	26	)	)	PUNCT
hjic-828	177	27	2	2	NUM
hjic-828	177	28	k	k	NOUN
hjic-828	177	29	(	(	PUNCT
hjic-828	177	30	2	2	NUM
hjic-828	177	31	)	)	PUNCT
hjic-828	177	32	2	2	NUM
hjic-828	177	33	)	)	PUNCT
hjic-828	177	34	=	=	SYM
hjic-828	177	35	a	a	DET
hjic-828	177	36	·	·	SYM
hjic-828	177	37	d2	d2	PROPN
hjic-828	177	38	.	.	PUNCT
hjic-828	178	1	(	(	PUNCT
hjic-828	178	2	18	18	NUM
hjic-828	178	3	)	)	PUNCT
hjic-828	178	4	the	the	DET
hjic-828	178	5	condition	condition	NOUN
hjic-828	178	6	of	of	ADP
hjic-828	178	7	rank(θ	rank(θ	PROPN
hjic-828	178	8	)	)	PUNCT
hjic-828	178	9	=	=	SYM
hjic-828	178	10	2	2	NUM
hjic-828	178	11	can	can	AUX
hjic-828	178	12	hold	hold	VERB
hjic-828	178	13	true	true	ADJ
hjic-828	178	14	if	if	SCONJ
hjic-828	178	15	and	and	CCONJ
hjic-828	178	16	only	only	ADV
hjic-828	178	17	if	if	SCONJ
hjic-828	178	18	the	the	DET
hjic-828	178	19	matrices	matrix	NOUN
hjic-828	178	20	a	a	PRON
hjic-828	178	21	and	and	CCONJ
hjic-828	178	22	d2	d2	PROPN
hjic-828	178	23	are	be	AUX
hjic-828	178	24	of	of	ADP
hjic-828	178	25	full	full	ADJ
hjic-828	178	26	rank	rank	NOUN
hjic-828	178	27	according	accord	VERB
hjic-828	178	28	to	to	ADP
hjic-828	178	29	the	the	DET
hjic-828	178	30	multiplication	multiplication	NOUN
hjic-828	178	31	theorem	theorem	NOUN
hjic-828	178	32	of	of	ADP
hjic-828	178	33	determinants	determinant	NOUN
hjic-828	178	34	.	.	PUNCT
hjic-828	179	1	matrix	matrix	VERB
hjic-828	179	2	a	a	DET
hjic-828	179	3	is	be	AUX
hjic-828	179	4	of	of	ADP
hjic-828	179	5	full	full	ADJ
hjic-828	179	6	rank	rank	NOUN
hjic-828	179	7	(	(	PUNCT
hjic-828	179	8	rank(a	rank(a	NOUN
hjic-828	179	9	)	)	PUNCT
hjic-828	179	10	=	=	SYM
hjic-828	180	1	2	2	X
hjic-828	180	2	)	)	PUNCT
hjic-828	180	3	if	if	SCONJ
hjic-828	180	4	and	and	CCONJ
hjic-828	180	5	only	only	ADV
hjic-828	180	6	if	if	SCONJ
hjic-828	180	7	a	a	DET
hjic-828	180	8	6=	6=	NUM
hjic-828	180	9	0	0	NUM
hjic-828	180	10	,	,	PUNCT
hjic-828	180	11	b	b	PROPN
hjic-828	180	12	6=	6=	PROPN
hjic-828	180	13	0	0	NUM
hjic-828	180	14	,	,	PUNCT
hjic-828	180	15	c	c	NOUN
hjic-828	180	16	6=	6=	ADP
hjic-828	180	17	0	0	NUM
hjic-828	180	18	and	and	CCONJ
hjic-828	180	19	d	d	X
hjic-828	180	20	6=	6=	PROPN
hjic-828	180	21	0	0	NUM
hjic-828	180	22	.	.	PUNCT
hjic-828	181	1	the	the	DET
hjic-828	181	2	reaction	reaction	NOUN
hjic-828	181	3	dynamics	dynamic	NOUN
hjic-828	181	4	matrix	matrix	NOUN
hjic-828	181	5	d2	d2	PROPN
hjic-828	181	6	is	be	AUX
hjic-828	181	7	of	of	ADP
hjic-828	181	8	full	full	ADJ
hjic-828	181	9	rank	rank	NOUN
hjic-828	182	1	if	if	SCONJ
hjic-828	182	2	and	and	CCONJ
hjic-828	182	3	only	only	ADV
hjic-828	182	4	if	if	SCONJ
hjic-828	182	5	there	there	PRON
hjic-828	182	6	is	be	VERB
hjic-828	182	7	no	no	DET
hjic-828	182	8	constant	constant	ADJ
hjic-828	182	9	c	c	NOUN
hjic-828	182	10	∈	∈	PROPN
hjic-828	182	11	r	r	NOUN
hjic-828	182	12	\	\	PUNCT
hjic-828	182	13	{	{	PUNCT
hjic-828	182	14	0	0	NUM
hjic-828	182	15	}	}	PUNCT
hjic-828	182	16	such	such	ADJ
hjic-828	182	17	that	that	DET
hjic-828	182	18	k(2)1	k(2)1	NOUN
hjic-828	182	19	=	=	SYM
hjic-828	182	20	ck	ck	ADJ
hjic-828	182	21	(	(	PUNCT
hjic-828	182	22	1	1	NUM
hjic-828	182	23	)	)	SYM
hjic-828	182	24	1	1	NUM
hjic-828	182	25	and	and	CCONJ
hjic-828	182	26	k(2)2	k(2)2	NOUN
hjic-828	182	27	=	=	SYM
hjic-828	182	28	ck	ck	NOUN
hjic-828	182	29	(	(	PUNCT
hjic-828	182	30	1	1	NUM
hjic-828	182	31	)	)	PUNCT
hjic-828	182	32	2	2	NUM
hjic-828	182	33	,	,	PUNCT
hjic-828	182	34	hence	hence	ADV
hjic-828	182	35	k	k	X
hjic-828	182	36	(	(	PUNCT
hjic-828	182	37	2	2	NUM
hjic-828	182	38	)	)	PUNCT
hjic-828	182	39	1	1	NUM
hjic-828	182	40	k	k	NOUN
hjic-828	182	41	(	(	PUNCT
hjic-828	182	42	1	1	NUM
hjic-828	182	43	)	)	PUNCT
hjic-828	182	44	1	1	NUM
hjic-828	182	45	=	=	SYM
hjic-828	182	46	k	k	X
hjic-828	182	47	(	(	PUNCT
hjic-828	182	48	2	2	NUM
hjic-828	182	49	)	)	PUNCT
hjic-828	182	50	2	2	NUM
hjic-828	182	51	k	k	X
hjic-828	182	52	(	(	PUNCT
hjic-828	182	53	1	1	NUM
hjic-828	182	54	)	)	SYM
hjic-828	182	55	2	2	NUM
hjic-828	182	56	(=	(=	NOUN
hjic-828	182	57	c	c	NOUN
hjic-828	182	58	)	)	PUNCT
hjic-828	182	59	(	(	PUNCT
hjic-828	182	60	19	19	NUM
hjic-828	182	61	)	)	PUNCT
hjic-828	182	62	can	can	AUX
hjic-828	182	63	not	not	PART
hjic-828	182	64	be	be	AUX
hjic-828	182	65	true	true	ADJ
hjic-828	182	66	.	.	PUNCT
hjic-828	183	1	recalling	recall	VERB
hjic-828	183	2	that	that	SCONJ
hjic-828	183	3	the	the	DET
hjic-828	183	4	reaction	reaction	NOUN
hjic-828	183	5	rate	rate	NOUN
hjic-828	183	6	coefficients	coefficient	NOUN
hjic-828	183	7	are	be	AUX
hjic-828	183	8	kr	kr	PROPN
hjic-828	183	9	=	=	SYM
hjic-828	183	10	kr,0e	kr,0e	NOUN
hjic-828	183	11	−	−	PROPN
hjic-828	183	12	er	er	INTJ
hjic-828	183	13	r0	r0	PROPN
hjic-828	183	14	t	t	PROPN
hjic-828	183	15	(	(	PUNCT
hjic-828	183	16	kr,0	kr,0	PROPN
hjic-828	183	17	,	,	PUNCT
hjic-828	183	18	er	er	INTJ
hjic-828	183	19	,	,	PUNCT
hjic-828	183	20	and	and	CCONJ
hjic-828	183	21	r0	r0	NOUN
hjic-828	183	22	are	be	AUX
hjic-828	183	23	positive	positive	ADJ
hjic-828	183	24	constants	constant	NOUN
hjic-828	183	25	)	)	PUNCT
hjic-828	183	26	,	,	PUNCT
hjic-828	183	27	it	it	PRON
hjic-828	183	28	is	be	AUX
hjic-828	183	29	easy	easy	ADJ
hjic-828	183	30	to	to	PART
hjic-828	183	31	determine	determine	VERB
hjic-828	183	32	the	the	DET
hjic-828	183	33	time	time	NOUN
hjic-828	183	34	derivatives	derivative	NOUN
hjic-828	183	35	:	:	PUNCT
hjic-828	183	36	k(1)r	k(1)r	X
hjic-828	183	37	=	=	SYM
hjic-828	183	38	(	(	PUNCT
hjic-828	183	39	er	er	INTJ
hjic-828	183	40	r0	r0	NOUN
hjic-828	183	41	t	t	PROPN
hjic-828	183	42	2	2	NUM
hjic-828	183	43	)	)	PUNCT
hjic-828	183	44	kr,0e	kr,0e	NOUN
hjic-828	183	45	−er	−er	AUX
hjic-828	183	46	r0	r0	NOUN
hjic-828	183	47	t	t	PROPN
hjic-828	183	48	,	,	PUNCT
hjic-828	183	49	(	(	PUNCT
hjic-828	183	50	20	20	NUM
hjic-828	183	51	)	)	PUNCT
hjic-828	183	52	k(2)r	k(2)r	PROPN
hjic-828	183	53	=	=	PUNCT
hjic-828	184	1	kr,0	kr,0	PROPN
hjic-828	184	2	(	(	PUNCT
hjic-828	184	3	e2	e2	PROPN
hjic-828	184	4	r	r	PROPN
hjic-828	184	5	r2	r2	PROPN
hjic-828	184	6	0	0	PROPN
hjic-828	184	7	t	t	PROPN
hjic-828	184	8	4	4	NUM
hjic-828	184	9	−	−	PROPN
hjic-828	184	10	2er	2er	PROPN
hjic-828	184	11	r0	r0	NOUN
hjic-828	184	12	t	t	PROPN
hjic-828	184	13	3	3	NUM
hjic-828	184	14	)	)	PUNCT
hjic-828	184	15	e	e	NOUN
hjic-828	184	16	−er	−er	X
hjic-828	184	17	r0	r0	NOUN
hjic-828	184	18	t	t	PROPN
hjic-828	184	19	.	.	PUNCT
hjic-828	185	1	(	(	PUNCT
hjic-828	185	2	21	21	NUM
hjic-828	185	3	)	)	PUNCT
hjic-828	185	4	the	the	DET
hjic-828	185	5	ratios	ratio	NOUN
hjic-828	185	6	of	of	ADP
hjic-828	185	7	the	the	DET
hjic-828	185	8	firstand	firstand	NOUN
hjic-828	185	9	second	second	ADJ
hjic-828	185	10	-	-	PUNCT
hjic-828	185	11	order	order	NOUN
hjic-828	185	12	time	time	NOUN
hjic-828	185	13	derivatives	derivative	NOUN
hjic-828	185	14	are	be	AUX
hjic-828	185	15	obtained	obtain	VERB
hjic-828	185	16	as	as	ADP
hjic-828	185	17	k	k	PROPN
hjic-828	185	18	(	(	PUNCT
hjic-828	185	19	2	2	X
hjic-828	185	20	)	)	PUNCT
hjic-828	185	21	r	r	NOUN
hjic-828	185	22	k	k	NOUN
hjic-828	185	23	(	(	PUNCT
hjic-828	185	24	1	1	X
hjic-828	185	25	)	)	PUNCT
hjic-828	185	26	r	r	NOUN
hjic-828	185	27	=	=	SYM
hjic-828	185	28	kr,0	kr,0	PROPN
hjic-828	185	29	(	(	PUNCT
hjic-828	185	30	e2	e2	PROPN
hjic-828	185	31	r	r	PROPN
hjic-828	185	32	r2	r2	PROPN
hjic-828	185	33	0	0	PROPN
hjic-828	186	1	t	t	PROPN
hjic-828	186	2	4	4	NUM
hjic-828	186	3	−	−	PROPN
hjic-828	186	4	2er	2er	PROPN
hjic-828	186	5	r0	r0	NOUN
hjic-828	186	6	t	t	PROPN
hjic-828	186	7	3	3	NUM
hjic-828	186	8	)	)	PUNCT
hjic-828	186	9	e	e	NOUN
hjic-828	186	10	−er	−er	X
hjic-828	186	11	r0	r0	NOUN
hjic-828	186	12	t	t	PROPN
hjic-828	186	13	(	(	PUNCT
hjic-828	186	14	er	er	INTJ
hjic-828	186	15	r0	r0	NOUN
hjic-828	186	16	t	t	PROPN
hjic-828	186	17	2	2	NUM
hjic-828	186	18	)	)	PUNCT
hjic-828	186	19	kr,0e	kr,0e	NOUN
hjic-828	187	1	−er	−er	AUX
hjic-828	187	2	r0	r0	VERB
hjic-828	187	3	t	t	NOUN
hjic-828	187	4	=	=	SYM
hjic-828	187	5	er	er	INTJ
hjic-828	187	6	−	−	NUM
hjic-828	187	7	2r0	2r0	NUM
hjic-828	187	8	t	t	NOUN
hjic-828	187	9	r0	r0	NOUN
hjic-828	187	10	t	t	PROPN
hjic-828	187	11	2	2	NUM
hjic-828	187	12	.	.	PUNCT
hjic-828	188	1	(	(	PUNCT
hjic-828	188	2	22	22	NUM
hjic-828	188	3	)	)	PUNCT
hjic-828	188	4	based	base	VERB
hjic-828	188	5	on	on	ADP
hjic-828	188	6	eq	eq	PROPN
hjic-828	188	7	.	.	PROPN
hjic-828	188	8	22	22	NUM
hjic-828	188	9	,	,	PUNCT
hjic-828	188	10	the	the	DET
hjic-828	188	11	equality	equality	NOUN
hjic-828	188	12	in	in	ADP
hjic-828	188	13	eq	eq	ADP
hjic-828	188	14	.	.	PROPN
hjic-828	188	15	19	19	NUM
hjic-828	188	16	holds	hold	VERB
hjic-828	188	17	true	true	ADJ
hjic-828	188	18	if	if	SCONJ
hjic-828	189	1	and	and	CCONJ
hjic-828	189	2	only	only	ADV
hjic-828	189	3	if	if	SCONJ
hjic-828	189	4	e1	e1	PROPN
hjic-828	189	5	=	=	PROPN
hjic-828	189	6	e2	e2	PROPN
hjic-828	189	7	.	.	PUNCT
hjic-828	190	1	as	as	ADP
hjic-828	190	2	a	a	DET
hjic-828	190	3	result	result	NOUN
hjic-828	190	4	it	it	PRON
hjic-828	190	5	has	have	AUX
hjic-828	190	6	been	be	AUX
hjic-828	190	7	proven	prove	VERB
hjic-828	190	8	that	that	SCONJ
hjic-828	190	9	if	if	SCONJ
hjic-828	190	10	the	the	DET
hjic-828	190	11	reaction	reaction	NOUN
hjic-828	190	12	dynamics	dynamic	NOUN
hjic-828	190	13	are	be	AUX
hjic-828	190	14	strongly	strongly	ADV
hjic-828	190	15	reachable	reachable	ADJ
hjic-828	190	16	then	then	ADV
hjic-828	190	17	the	the	DET
hjic-828	190	18	concentrations	concentration	NOUN
hjic-828	190	19	a	a	DET
hjic-828	190	20	,	,	PUNCT
hjic-828	190	21	b	b	NOUN
hjic-828	190	22	,	,	PUNCT
hjic-828	190	23	c	c	PROPN
hjic-828	190	24	and	and	CCONJ
hjic-828	190	25	d	d	NOUN
hjic-828	190	26	are	be	AUX
hjic-828	190	27	positive	positive	ADJ
hjic-828	190	28	and	and	CCONJ
hjic-828	190	29	e1	e1	PROPN
hjic-828	190	30	6=	6=	PROPN
hjic-828	190	31	e2	e2	PROPN
hjic-828	190	32	.	.	PUNCT
hjic-828	191	1	thus	thus	ADV
hjic-828	191	2	the	the	DET
hjic-828	191	3	conditions	condition	NOUN
hjic-828	191	4	of	of	ADP
hjic-828	191	5	theorem	theorem	ADJ
hjic-828	191	6	2	2	NUM
hjic-828	191	7	are	be	AUX
hjic-828	191	8	also	also	ADV
hjic-828	191	9	necessary	necessary	ADJ
hjic-828	191	10	for	for	ADP
hjic-828	191	11	strong	strong	ADJ
hjic-828	191	12	reachability	reachability	NOUN
hjic-828	191	13	in	in	ADP
hjic-828	191	14	the	the	DET
hjic-828	191	15	case	case	NOUN
hjic-828	191	16	of	of	ADP
hjic-828	191	17	oximation	oximation	NOUN
hjic-828	191	18	reactions	reaction	NOUN
hjic-828	191	19	in	in	ADP
hjic-828	191	20	acidic	acidic	ADJ
hjic-828	191	21	media	medium	NOUN
hjic-828	191	22	.	.	PUNCT
hjic-828	192	1	4.2	4.2	NUM
hjic-828	192	2	oximation	oximation	NOUN
hjic-828	192	3	reaction	reaction	NOUN
hjic-828	192	4	in	in	ADP
hjic-828	192	5	weakly	weakly	ADJ
hjic-828	192	6	basic	basic	ADJ
hjic-828	192	7	medium	medium	NOUN
hjic-828	192	8	in	in	ADP
hjic-828	192	9	the	the	DET
hjic-828	192	10	case	case	NOUN
hjic-828	192	11	of	of	ADP
hjic-828	192	12	weakly	weakly	ADJ
hjic-828	192	13	basic	basic	ADJ
hjic-828	192	14	media	medium	NOUN
hjic-828	192	15	the	the	DET
hjic-828	192	16	reaction	reaction	NOUN
hjic-828	192	17	occurs	occur	VERB
hjic-828	192	18	according	accord	VERB
hjic-828	192	19	to	to	ADP
hjic-828	192	20	the	the	DET
hjic-828	192	21	reaction	reaction	NOUN
hjic-828	192	22	steps	step	NOUN
hjic-828	192	23	given	give	VERB
hjic-828	192	24	by	by	ADP
hjic-828	192	25	:	:	PUNCT
hjic-828	192	26	hungarian	hungarian	ADJ
hjic-828	192	27	journal	journal	NOUN
hjic-828	192	28	of	of	ADP
hjic-828	192	29	industry	industry	NOUN
hjic-828	192	30	and	and	CCONJ
hjic-828	192	31	chemistry	chemistry	NOUN
hjic-828	192	32	strong	strong	ADJ
hjic-828	192	33	reachability	reachability	NOUN
hjic-828	192	34	of	of	ADP
hjic-828	192	35	reactions	reaction	NOUN
hjic-828	192	36	with	with	ADP
hjic-828	192	37	reversible	reversible	ADJ
hjic-828	192	38	steps	step	NOUN
hjic-828	192	39	23	23	NUM
hjic-828	192	40	since	since	SCONJ
hjic-828	192	41	the	the	DET
hjic-828	192	42	specific	specific	ADJ
hjic-828	192	43	chemical	chemical	NOUN
hjic-828	192	44	compositions	composition	NOUN
hjic-828	192	45	of	of	ADP
hjic-828	192	46	the	the	DET
hjic-828	192	47	species	specie	NOUN
hjic-828	192	48	are	be	AUX
hjic-828	192	49	irrelevant	irrelevant	ADJ
hjic-828	192	50	to	to	ADP
hjic-828	192	51	the	the	DET
hjic-828	192	52	controllability	controllability	NOUN
hjic-828	192	53	analysis	analysis	NOUN
hjic-828	192	54	,	,	PUNCT
hjic-828	192	55	the	the	DET
hjic-828	192	56	symbols	symbol	NOUN
hjic-828	192	57	a	a	DET
hjic-828	192	58	,	,	PUNCT
hjic-828	192	59	b	b	PROPN
hjic-828	192	60	,	,	PUNCT
hjic-828	192	61	c	c	NOUN
hjic-828	192	62	,	,	PUNCT
hjic-828	192	63	d	d	NOUN
hjic-828	192	64	,	,	PUNCT
hjic-828	192	65	e	e	NOUN
hjic-828	192	66	,	,	PUNCT
hjic-828	192	67	f	f	X
hjic-828	192	68	,	,	PUNCT
hjic-828	192	69	and	and	CCONJ
hjic-828	192	70	g	g	PROPN
hjic-828	192	71	will	will	AUX
hjic-828	192	72	denote	denote	VERB
hjic-828	192	73	the	the	DET
hjic-828	192	74	species	specie	NOUN
hjic-828	192	75	such	such	ADJ
hjic-828	192	76	that	that	SCONJ
hjic-828	192	77	the	the	DET
hjic-828	192	78	above	above	ADJ
hjic-828	192	79	reaction	reaction	NOUN
hjic-828	192	80	steps	step	NOUN
hjic-828	192	81	read	read	VERB
hjic-828	192	82	:	:	PUNCT
hjic-828	192	83	a	a	DET
hjic-828	192	84	+	+	X
hjic-828	192	85	b	b	X
hjic-828	192	86	k1−−→	k1−−→	PROPN
hjic-828	192	87	c	c	PROPN
hjic-828	192	88	,	,	PUNCT
hjic-828	192	89	(	(	PUNCT
hjic-828	192	90	23	23	NUM
hjic-828	192	91	)	)	PUNCT
hjic-828	193	1	c	c	NOUN
hjic-828	193	2	k2−−→	k2−−→	PROPN
hjic-828	193	3	d	d	X
hjic-828	193	4	+	+	CCONJ
hjic-828	193	5	e	e	NOUN
hjic-828	193	6	,	,	PUNCT
hjic-828	193	7	(	(	PUNCT
hjic-828	193	8	24	24	NUM
hjic-828	193	9	)	)	PUNCT
hjic-828	193	10	d	d	PROPN
hjic-828	193	11	+	+	CCONJ
hjic-828	193	12	f	f	PROPN
hjic-828	193	13	k3−−	k3−−	NOUN
hjic-828	193	14	⇀	⇀	NOUN
hjic-828	193	15	↽	↽	ADJ
hjic-828	193	16	−−−	−−−	X
hjic-828	194	1	k−3	k−3	PROPN
hjic-828	194	2	g	g	PROPN
hjic-828	194	3	+	+	PROPN
hjic-828	194	4	e.	e.	PROPN
hjic-828	194	5	(	(	PUNCT
hjic-828	194	6	25	25	NUM
hjic-828	194	7	)	)	PUNCT
hjic-828	194	8	let	let	VERB
hjic-828	194	9	us	we	PRON
hjic-828	194	10	denote	denote	VERB
hjic-828	194	11	the	the	DET
hjic-828	194	12	concentration	concentration	NOUN
hjic-828	194	13	of	of	ADP
hjic-828	194	14	the	the	DET
hjic-828	194	15	species	specie	NOUN
hjic-828	194	16	by	by	ADP
hjic-828	194	17	a	a	DET
hjic-828	194	18	,	,	PUNCT
hjic-828	194	19	b	b	PROPN
hjic-828	194	20	,	,	PUNCT
hjic-828	194	21	c	c	NOUN
hjic-828	194	22	,	,	PUNCT
hjic-828	194	23	d	d	NOUN
hjic-828	194	24	,	,	PUNCT
hjic-828	194	25	e	e	NOUN
hjic-828	194	26	,	,	PUNCT
hjic-828	194	27	f	f	PROPN
hjic-828	194	28	,	,	PUNCT
hjic-828	194	29	g	g	PROPN
hjic-828	194	30	≥	≥	NOUN
hjic-828	194	31	0	0	NUM
hjic-828	194	32	.	.	PUNCT
hjic-828	195	1	it	it	PRON
hjic-828	195	2	is	be	AUX
hjic-828	195	3	assumed	assume	VERB
hjic-828	195	4	that	that	SCONJ
hjic-828	195	5	the	the	DET
hjic-828	195	6	reaction	reaction	NOUN
hjic-828	195	7	rate	rate	NOUN
hjic-828	195	8	coefficients	coefficient	NOUN
hjic-828	195	9	are	be	AUX
hjic-828	195	10	strictly	strictly	ADV
hjic-828	195	11	positive	positive	ADJ
hjic-828	195	12	:	:	PUNCT
hjic-828	195	13	k1	k1	NOUN
hjic-828	195	14	,	,	PUNCT
hjic-828	195	15	k2	k2	PROPN
hjic-828	195	16	,	,	PUNCT
hjic-828	195	17	k3	k3	VERB
hjic-828	195	18	,	,	PUNCT
hjic-828	195	19	k−3	k−3	PROPN
hjic-828	195	20	>	>	X
hjic-828	195	21	0	0	X
hjic-828	195	22	.	.	PUNCT
hjic-828	196	1	recall	recall	NOUN
hjic-828	196	2	that	that	PRON
hjic-828	196	3	theorem	theorem	VERB
hjic-828	196	4	2	2	NUM
hjic-828	196	5	only	only	ADV
hjic-828	196	6	provides	provide	VERB
hjic-828	196	7	a	a	DET
hjic-828	196	8	sufficient	sufficient	ADJ
hjic-828	196	9	condition	condition	NOUN
hjic-828	196	10	for	for	ADP
hjic-828	196	11	strong	strong	ADJ
hjic-828	196	12	reachability	reachability	NOUN
hjic-828	196	13	.	.	PUNCT
hjic-828	197	1	by	by	ADP
hjic-828	197	2	considering	consider	VERB
hjic-828	197	3	oximation	oximation	NOUN
hjic-828	197	4	reactions	reaction	NOUN
hjic-828	197	5	in	in	ADP
hjic-828	197	6	weakly	weakly	ADJ
hjic-828	197	7	basic	basic	ADJ
hjic-828	197	8	media	medium	NOUN
hjic-828	197	9	the	the	DET
hjic-828	197	10	remaining	remain	VERB
hjic-828	197	11	conditions	condition	NOUN
hjic-828	197	12	of	of	ADP
hjic-828	197	13	strong	strong	ADJ
hjic-828	197	14	reachability	reachability	NOUN
hjic-828	197	15	will	will	AUX
hjic-828	197	16	be	be	AUX
hjic-828	197	17	studied	study	VERB
hjic-828	197	18	.	.	PUNCT
hjic-828	198	1	let	let	VERB
hjic-828	198	2	us	we	PRON
hjic-828	198	3	suppose	suppose	VERB
hjic-828	198	4	now	now	ADV
hjic-828	198	5	that	that	SCONJ
hjic-828	198	6	the	the	DET
hjic-828	198	7	system	system	NOUN
hjic-828	198	8	of	of	ADP
hjic-828	198	9	eqs	eqs	PROPN
hjic-828	198	10	.	.	PROPN
hjic-828	198	11	23–25	23–25	NUM
hjic-828	198	12	is	be	AUX
hjic-828	198	13	strongly	strongly	ADV
hjic-828	198	14	reachable	reachable	ADJ
hjic-828	198	15	.	.	PUNCT
hjic-828	199	1	the	the	DET
hjic-828	199	2	stoichiometric	stoichiometric	ADJ
hjic-828	199	3	matrix	matrix	NOUN
hjic-828	199	4	for	for	ADP
hjic-828	199	5	the	the	DET
hjic-828	199	6	reaction	reaction	NOUN
hjic-828	199	7	steps	step	NOUN
hjic-828	199	8	reads	read	VERB
hjic-828	199	9	:	:	PUNCT
hjic-828	199	10	γ	γ	X
hjic-828	199	11	=	=	PUNCT
hjic-828	199	12			ADJ
hjic-828	199	13	−1	−1	NOUN
hjic-828	199	14	0	0	NUM
hjic-828	199	15	0	0	NUM
hjic-828	199	16	0	0	NUM
hjic-828	199	17	−1	−1	NOUN
hjic-828	199	18	0	0	NUM
hjic-828	199	19	0	0	NUM
hjic-828	199	20	0	0	NUM
hjic-828	199	21	1	1	NUM
hjic-828	199	22	−1	−1	NOUN
hjic-828	199	23	0	0	NUM
hjic-828	199	24	0	0	NUM
hjic-828	199	25	0	0	NUM
hjic-828	199	26	1	1	NUM
hjic-828	199	27	−1	−1	NOUN
hjic-828	199	28	1	1	NUM
hjic-828	199	29	0	0	NUM
hjic-828	199	30	1	1	NUM
hjic-828	199	31	1	1	NUM
hjic-828	199	32	−1	−1	NOUN
hjic-828	199	33	0	0	NUM
hjic-828	199	34	0	0	NUM
hjic-828	199	35	−1	−1	NOUN
hjic-828	199	36	1	1	NUM
hjic-828	199	37	0	0	NUM
hjic-828	199	38	0	0	NUM
hjic-828	199	39	1	1	NUM
hjic-828	199	40	−1	−1	NOUN
hjic-828	199	41			PROPN
hjic-828	199	42	.	.	PUNCT
hjic-828	200	1	(	(	PUNCT
hjic-828	200	2	26	26	NUM
hjic-828	200	3	)	)	PUNCT
hjic-828	200	4	the	the	DET
hjic-828	200	5	differential	differential	ADJ
hjic-828	200	6	equation	equation	NOUN
hjic-828	200	7	of	of	ADP
hjic-828	200	8	the	the	DET
hjic-828	200	9	reaction	reaction	NOUN
hjic-828	200	10	ȧ	ȧ	PROPN
hjic-828	200	11	ḃ	ḃ	PROPN
hjic-828	200	12	ċ	ċ	PROPN
hjic-828	200	13	ḋ	ḋ	PROPN
hjic-828	200	14	ė	ė	PROPN
hjic-828	200	15	ḟ	ḟ	PROPN
hjic-828	200	16	ġ	ġ	PROPN
hjic-828	200	17	ṫ	ṫ	NOUN
hjic-828	200	18			PUNCT
hjic-828	201	1	=	=	PUNCT
hjic-828	201	2			NOUN
hjic-828	201	3	−k1ab	−k1ab	NUM
hjic-828	201	4	−k1ab	−k1ab	NUM
hjic-828	201	5	k1ab−	k1ab−	NOUN
hjic-828	201	6	k2c	k2c	NOUN
hjic-828	201	7	k2c−	k2c−	NOUN
hjic-828	201	8	k3df	k3df	PUNCT
hjic-828	202	1	+	+	CCONJ
hjic-828	202	2	k−3ge	k−3ge	PROPN
hjic-828	202	3	k2c+	k2c+	NOUN
hjic-828	202	4	k3df	k3df	PUNCT
hjic-828	202	5	−	−	PROPN
hjic-828	202	6	k−3ge	k−3ge	PROPN
hjic-828	202	7	−k3df	−k3df	NUM
hjic-828	202	8	+	+	CCONJ
hjic-828	202	9	k−3ge	k−3ge	X
hjic-828	202	10	k3df	k3df	PUNCT
hjic-828	202	11	−	−	X
hjic-828	202	12	k−3ge	k−3ge	PROPN
hjic-828	202	13	k1	k1	PROPN
hjic-828	202	14	β	β	PROPN
hjic-828	202	15	ab+	ab+	PROPN
hjic-828	202	16	k2	k2	PROPN
hjic-828	202	17	β	β	PROPN
hjic-828	202	18	c+	c+	VERB
hjic-828	202	19	k3	k3	VERB
hjic-828	202	20	β	β	X
hjic-828	202	21	df	df	NOUN
hjic-828	203	1	+	+	CCONJ
hjic-828	203	2	k−3	k−3	PROPN
hjic-828	203	3	β	β	X
hjic-828	203	4	ge	ge	PROPN
hjic-828	203	5			PROPN
hjic-828	204	1	+	+	CCONJ
hjic-828	204	2	+	+	PUNCT
hjic-828	204	3			ADJ
hjic-828	204	4	0	0	NUM
hjic-828	204	5	0	0	NUM
hjic-828	204	6	0	0	NUM
hjic-828	204	7	0	0	NUM
hjic-828	204	8	0	0	NUM
hjic-828	204	9	0	0	NUM
hjic-828	204	10	0	0	NUM
hjic-828	204	11	1	1	NUM
hjic-828	204	12			NOUN
hjic-828	204	13	u	u	NOUN
hjic-828	204	14	=	=	SYM
hjic-828	204	15	f(ξ	f(ξ	X
hjic-828	204	16	)	)	PUNCT
hjic-828	205	1	+	+	NUM
hjic-828	205	2	g(ξ)u	g(ξ)u	PROPN
hjic-828	205	3	(	(	PUNCT
hjic-828	205	4	27	27	NUM
hjic-828	205	5	)	)	PUNCT
hjic-828	205	6	is	be	AUX
hjic-828	205	7	in	in	ADP
hjic-828	205	8	a	a	DET
hjic-828	205	9	form	form	NOUN
hjic-828	205	10	similar	similar	ADJ
hjic-828	205	11	to	to	ADP
hjic-828	205	12	eq	eq	NOUN
hjic-828	205	13	.	.	PROPN
hjic-828	205	14	1	1	NUM
hjic-828	205	15	,	,	PUNCT
hjic-828	205	16	where	where	SCONJ
hjic-828	205	17	the	the	DET
hjic-828	205	18	vector	vector	NOUN
hjic-828	205	19	field	field	NOUN
hjic-828	205	20	g(ξ	g(ξ	PROPN
hjic-828	205	21	)	)	PUNCT
hjic-828	205	22	is	be	AUX
hjic-828	205	23	constant	constant	ADJ
hjic-828	205	24	and	and	CCONJ
hjic-828	205	25	ξ	ξ	X
hjic-828	205	26	=	=	PUNCT
hjic-828	205	27	(	(	PUNCT
hjic-828	205	28	a	a	PRON
hjic-828	205	29	,	,	PUNCT
hjic-828	205	30	b	b	NOUN
hjic-828	205	31	,	,	PUNCT
hjic-828	205	32	c	c	NOUN
hjic-828	205	33	,	,	PUNCT
hjic-828	205	34	d	d	NOUN
hjic-828	205	35	,	,	PUNCT
hjic-828	205	36	e	e	NOUN
hjic-828	205	37	,	,	PUNCT
hjic-828	205	38	f	f	PROPN
hjic-828	205	39	,	,	PUNCT
hjic-828	205	40	g	g	PROPN
hjic-828	205	41	,	,	PUNCT
hjic-828	205	42	t	t	PROPN
hjic-828	205	43	)	)	PUNCT
hjic-828	205	44	t	t	PROPN
hjic-828	205	45	.	.	PUNCT
hjic-828	206	1	since	since	SCONJ
hjic-828	206	2	the	the	DET
hjic-828	206	3	rank	rank	NOUN
hjic-828	206	4	of	of	ADP
hjic-828	206	5	the	the	DET
hjic-828	206	6	stoichiometric	stoichiometric	NOUN
hjic-828	206	7	matrix	matrix	NOUN
hjic-828	206	8	γ	γ	NOUN
hjic-828	206	9	is	be	AUX
hjic-828	206	10	3	3	NUM
hjic-828	206	11	and	and	CCONJ
hjic-828	206	12	the	the	DET
hjic-828	206	13	temperature	temperature	NOUN
hjic-828	206	14	is	be	AUX
hjic-828	206	15	a	a	DET
hjic-828	206	16	scalar	scalar	ADJ
hjic-828	206	17	quantity	quantity	NOUN
hjic-828	206	18	,	,	PUNCT
hjic-828	206	19	theorem	theorem	VERB
hjic-828	206	20	1	1	NUM
hjic-828	206	21	implies	imply	VERB
hjic-828	206	22	that	that	SCONJ
hjic-828	206	23	the	the	DET
hjic-828	206	24	system	system	NOUN
hjic-828	206	25	is	be	AUX
hjic-828	206	26	strongly	strongly	ADV
hjic-828	206	27	reachable	reachable	ADJ
hjic-828	206	28	if	if	SCONJ
hjic-828	206	29	dim{∆}c	dim{∆}c	NOUN
hjic-828	206	30	=	=	SYM
hjic-828	206	31	3	3	NUM
hjic-828	206	32	+	+	SYM
hjic-828	206	33	1	1	NUM
hjic-828	206	34	=	=	SYM
hjic-828	206	35	4	4	NUM
hjic-828	206	36	.	.	PUNCT
hjic-828	207	1	hence	hence	ADV
hjic-828	207	2	,	,	PUNCT
hjic-828	207	3	the	the	DET
hjic-828	207	4	number	number	NOUN
hjic-828	207	5	of	of	ADP
hjic-828	207	6	linearly	linearly	ADV
hjic-828	207	7	independent	independent	ADJ
hjic-828	207	8	vector	vector	NOUN
hjic-828	207	9	fields	field	NOUN
hjic-828	207	10	spanning	span	VERB
hjic-828	207	11	the	the	DET
hjic-828	207	12	lie	lie	NOUN
hjic-828	207	13	algebra	algebra	NOUN
hjic-828	207	14	generated	generate	VERB
hjic-828	207	15	by	by	ADP
hjic-828	207	16	the	the	DET
hjic-828	207	17	vector	vector	NOUN
hjic-828	207	18	fields	field	NOUN
hjic-828	207	19	adgf	adgf	VERB
hjic-828	207	20	and	and	CCONJ
hjic-828	207	21	g	g	NOUN
hjic-828	207	22	must	must	AUX
hjic-828	207	23	be	be	AUX
hjic-828	207	24	determined	determine	VERB
hjic-828	207	25	.	.	PUNCT
hjic-828	208	1	the	the	DET
hjic-828	208	2	lie	lie	NOUN
hjic-828	208	3	–	–	PUNCT
hjic-828	208	4	brackets	brackets	NOUN
hjic-828	208	5	adgf	adgf	NOUN
hjic-828	208	6	,	,	PUNCT
hjic-828	208	7	ad2	ad2	PROPN
hjic-828	208	8	gf	gf	PROPN
hjic-828	208	9	and	and	CCONJ
hjic-828	208	10	ad3	ad3	PROPN
hjic-828	208	11	gf	gf	PROPN
hjic-828	208	12	read	read	VERB
hjic-828	208	13	:	:	PUNCT
hjic-828	208	14	adigf	adigf	NOUN
hjic-828	208	15	=	=	SYM
hjic-828	208	16			NOUN
hjic-828	208	17	−k(i)1	−k(i)1	X
hjic-828	208	18	ab	ab	X
hjic-828	208	19	−k(i)1	−k(i)1	NOUN
hjic-828	208	20	ab	ab	PROPN
hjic-828	208	21	k	k	PROPN
hjic-828	209	1	(	(	PUNCT
hjic-828	209	2	i	i	NOUN
hjic-828	209	3	)	)	PUNCT
hjic-828	209	4	1	1	NUM
hjic-828	210	1	ab−	ab−	NOUN
hjic-828	211	1	k(i)2	k(i)2	PROPN
hjic-828	211	2	c	c	NOUN
hjic-828	211	3	k	k	PROPN
hjic-828	211	4	(	(	PUNCT
hjic-828	211	5	i	i	NOUN
hjic-828	211	6	)	)	PUNCT
hjic-828	211	7	2	2	NUM
hjic-828	211	8	c−	c−	NOUN
hjic-828	211	9	k(i)3	k(i)3	PROPN
hjic-828	211	10	df	df	PROPN
hjic-828	211	11	+	+	CCONJ
hjic-828	211	12	k	k	PROPN
hjic-828	211	13	(	(	PUNCT
hjic-828	211	14	i	i	NOUN
hjic-828	211	15	)	)	PUNCT
hjic-828	212	1	−3ge	−3ge	PROPN
hjic-828	213	1	k	k	INTJ
hjic-828	213	2	(	(	PUNCT
hjic-828	213	3	i	i	NOUN
hjic-828	213	4	)	)	PUNCT
hjic-828	213	5	2	2	NUM
hjic-828	213	6	c+	c+	NOUN
hjic-828	213	7	k	k	X
hjic-828	213	8	(	(	PUNCT
hjic-828	213	9	i	i	NOUN
hjic-828	213	10	)	)	PUNCT
hjic-828	213	11	3	3	NUM
hjic-828	213	12	df	df	NOUN
hjic-828	213	13	−	−	PROPN
hjic-828	213	14	k(i)−3ge	k(i)−3ge	PROPN
hjic-828	213	15	−k(i)3	−k(i)3	X
hjic-828	213	16	df	df	PROPN
hjic-828	214	1	+	+	CCONJ
hjic-828	214	2	k	k	PROPN
hjic-828	214	3	(	(	PUNCT
hjic-828	214	4	i	i	NOUN
hjic-828	214	5	)	)	PUNCT
hjic-828	214	6	−3ge	−3ge	PROPN
hjic-828	215	1	k	k	INTJ
hjic-828	215	2	(	(	PUNCT
hjic-828	215	3	i	i	NOUN
hjic-828	215	4	)	)	PUNCT
hjic-828	215	5	3	3	NUM
hjic-828	215	6	df	df	NOUN
hjic-828	215	7	−	−	PROPN
hjic-828	215	8	k(i)−3ge	k(i)−3ge	PROPN
hjic-828	215	9	k	k	PROPN
hjic-828	215	10	(	(	PUNCT
hjic-828	215	11	i	i	NOUN
hjic-828	215	12	)	)	PUNCT
hjic-828	215	13	1	1	NUM
hjic-828	215	14	β	β	X
hjic-828	215	15	ab+	ab+	PROPN
hjic-828	216	1	k	k	PROPN
hjic-828	216	2	(	(	PUNCT
hjic-828	216	3	i	i	NOUN
hjic-828	216	4	)	)	PUNCT
hjic-828	216	5	2	2	NUM
hjic-828	216	6	β	β	X
hjic-828	216	7	c+	c+	X
hjic-828	216	8	k	k	X
hjic-828	216	9	(	(	PUNCT
hjic-828	216	10	i	i	NOUN
hjic-828	216	11	)	)	PUNCT
hjic-828	216	12	3	3	NUM
hjic-828	216	13	β	β	X
hjic-828	216	14	df	df	NOUN
hjic-828	217	1	+	+	CCONJ
hjic-828	217	2	k	k	X
hjic-828	217	3	(	(	PUNCT
hjic-828	217	4	i	i	NOUN
hjic-828	217	5	)	)	PUNCT
hjic-828	217	6	−3	−3	PROPN
hjic-828	217	7	β	β	X
hjic-828	217	8	ge	ge	PROPN
hjic-828	217	9			PROPN
hjic-828	217	10	,	,	PUNCT
hjic-828	217	11	(	(	PUNCT
hjic-828	217	12	28	28	NUM
hjic-828	217	13	)	)	PUNCT
hjic-828	217	14	where	where	SCONJ
hjic-828	217	15	i	i	PRON
hjic-828	217	16	∈	∈	PROPN
hjic-828	217	17	{	{	PUNCT
hjic-828	217	18	1	1	NUM
hjic-828	217	19	,	,	PUNCT
hjic-828	217	20	2	2	NUM
hjic-828	217	21	,	,	PUNCT
hjic-828	217	22	3	3	NUM
hjic-828	217	23	}	}	PUNCT
hjic-828	217	24	.	.	PUNCT
hjic-828	218	1	to	to	PART
hjic-828	218	2	study	study	VERB
hjic-828	218	3	the	the	DET
hjic-828	218	4	dimensions	dimension	NOUN
hjic-828	218	5	of	of	ADP
hjic-828	218	6	the	the	DET
hjic-828	218	7	controllability	controllability	NOUN
hjic-828	218	8	distribution	distribution	NOUN
hjic-828	218	9	∆c	∆c	NOUN
hjic-828	218	10	one	one	PRON
hjic-828	218	11	has	have	VERB
hjic-828	218	12	to	to	PART
hjic-828	218	13	give	give	VERB
hjic-828	218	14	the	the	DET
hjic-828	218	15	rank	rank	NOUN
hjic-828	218	16	of	of	ADP
hjic-828	218	17	the	the	DET
hjic-828	218	18	matrix	matrix	NOUN
hjic-828	218	19	whose	whose	DET
hjic-828	218	20	columns	column	NOUN
hjic-828	218	21	are	be	AUX
hjic-828	218	22	adgf	adgf	NOUN
hjic-828	218	23	,	,	PUNCT
hjic-828	218	24	ad2	ad2	PROPN
hjic-828	218	25	gf	gf	PROPN
hjic-828	218	26	,	,	PUNCT
hjic-828	218	27	ad3	ad3	PROPN
hjic-828	218	28	gf	gf	PROPN
hjic-828	218	29	,	,	PUNCT
hjic-828	218	30	and	and	CCONJ
hjic-828	218	31	g	g	NOUN
hjic-828	218	32	:(	:(	PUNCT
hjic-828	218	33	adgf	adgf	PROPN
hjic-828	218	34	ad2	ad2	PROPN
hjic-828	218	35	gf	gf	PROPN
hjic-828	218	36	ad3	ad3	PROPN
hjic-828	218	37	gf	gf	PROPN
hjic-828	218	38	g	g	PROPN
hjic-828	218	39	)	)	PUNCT
hjic-828	218	40	.	.	PUNCT
hjic-828	219	1	(	(	PUNCT
hjic-828	219	2	29	29	NUM
hjic-828	219	3	)	)	PUNCT
hjic-828	219	4	the	the	DET
hjic-828	219	5	last	last	ADJ
hjic-828	219	6	row	row	NOUN
hjic-828	219	7	is	be	AUX
hjic-828	219	8	linearly	linearly	ADV
hjic-828	219	9	independent	independent	ADJ
hjic-828	219	10	of	of	ADP
hjic-828	219	11	all	all	DET
hjic-828	219	12	other	other	ADJ
hjic-828	219	13	rows	row	NOUN
hjic-828	219	14	in	in	ADP
hjic-828	219	15	matrix	matrix	NOUN
hjic-828	219	16	eq	eq	ADP
hjic-828	219	17	.	.	PROPN
hjic-828	219	18	30	30	NUM
hjic-828	219	19	,	,	PUNCT
hjic-828	219	20	hence	hence	ADV
hjic-828	219	21	,	,	PUNCT
hjic-828	219	22	by	by	ADP
hjic-828	219	23	deleting	delete	VERB
hjic-828	219	24	the	the	DET
hjic-828	219	25	last	last	ADJ
hjic-828	219	26	row	row	NOUN
hjic-828	219	27	and	and	CCONJ
hjic-828	219	28	column	column	NOUN
hjic-828	219	29	from	from	ADP
hjic-828	219	30	the	the	DET
hjic-828	219	31	matrix	matrix	NOUN
hjic-828	219	32	,	,	PUNCT
hjic-828	219	33	the	the	DET
hjic-828	219	34	rank	rank	NOUN
hjic-828	219	35	will	will	AUX
hjic-828	219	36	be	be	AUX
hjic-828	219	37	decreased	decrease	VERB
hjic-828	219	38	by	by	ADP
hjic-828	219	39	1	1	NUM
hjic-828	219	40	.	.	PUNCT
hjic-828	220	1	the	the	DET
hjic-828	220	2	remaining	remain	VERB
hjic-828	220	3	matrix	matrix	NOUN
hjic-828	220	4	is	be	AUX
hjic-828	220	5	denoted	denote	VERB
hjic-828	220	6	by	by	ADP
hjic-828	220	7	θ	θ	PROPN
hjic-828	220	8	and	and	CCONJ
hjic-828	220	9	defined	define	VERB
hjic-828	220	10	as	as	ADP
hjic-828	220	11	θ	θ	X
hjic-828	220	12	=	=	SYM
hjic-828	220	13			PROPN
hjic-828	220	14			NOUN
hjic-828	220	15	−k(i)1	−k(i)1	SYM
hjic-828	220	16	ab	ab	X
hjic-828	220	17	−k(i)1	−k(i)1	NOUN
hjic-828	220	18	ab	ab	PROPN
hjic-828	220	19	k	k	PROPN
hjic-828	220	20	(	(	PUNCT
hjic-828	220	21	i	i	NOUN
hjic-828	220	22	)	)	PUNCT
hjic-828	220	23	1	1	NUM
hjic-828	220	24	ab−	ab−	NOUN
hjic-828	221	1	k(i)2	k(i)2	PROPN
hjic-828	221	2	c	c	NOUN
hjic-828	221	3	k	k	PROPN
hjic-828	221	4	(	(	PUNCT
hjic-828	221	5	i	i	NOUN
hjic-828	221	6	)	)	PUNCT
hjic-828	221	7	2	2	NUM
hjic-828	221	8	c−	c−	NOUN
hjic-828	221	9	k(i)3	k(i)3	PROPN
hjic-828	221	10	df	df	PROPN
hjic-828	221	11	+	+	CCONJ
hjic-828	221	12	k	k	PROPN
hjic-828	221	13	(	(	PUNCT
hjic-828	221	14	i	i	NOUN
hjic-828	221	15	)	)	PUNCT
hjic-828	222	1	−3ge	−3ge	PROPN
hjic-828	223	1	k	k	INTJ
hjic-828	223	2	(	(	PUNCT
hjic-828	223	3	i	i	NOUN
hjic-828	223	4	)	)	PUNCT
hjic-828	223	5	2	2	NUM
hjic-828	223	6	c+	c+	NOUN
hjic-828	223	7	k	k	X
hjic-828	223	8	(	(	PUNCT
hjic-828	223	9	i	i	NOUN
hjic-828	223	10	)	)	PUNCT
hjic-828	223	11	3	3	NUM
hjic-828	223	12	df	df	NOUN
hjic-828	223	13	−	−	PROPN
hjic-828	223	14	k(i)−3ge	k(i)−3ge	PROPN
hjic-828	223	15	−k(i)3	−k(i)3	X
hjic-828	223	16	df	df	PROPN
hjic-828	224	1	+	+	CCONJ
hjic-828	224	2	k	k	PROPN
hjic-828	224	3	(	(	PUNCT
hjic-828	224	4	i	i	NOUN
hjic-828	224	5	)	)	PUNCT
hjic-828	224	6	−3ge	−3ge	PROPN
hjic-828	225	1	k	k	INTJ
hjic-828	225	2	(	(	PUNCT
hjic-828	225	3	i	i	NOUN
hjic-828	225	4	)	)	PUNCT
hjic-828	225	5	3	3	NUM
hjic-828	225	6	df	df	NOUN
hjic-828	225	7	−	−	PROPN
hjic-828	225	8	k(i)−3ge	k(i)−3ge	PROPN
hjic-828	225	9			PRON
hjic-828	225	10	i=1,2,3	i=1,2,3	PUNCT
hjic-828	225	11			ADV
hjic-828	225	12	(	(	PUNCT
hjic-828	225	13	30	30	NUM
hjic-828	225	14	)	)	PUNCT
hjic-828	225	15	the	the	DET
hjic-828	225	16	condition	condition	NOUN
hjic-828	225	17	dim{∆}c	dim{∆}c	NOUN
hjic-828	225	18	=	=	NOUN
hjic-828	225	19	4	4	NUM
hjic-828	225	20	holds	hold	VERB
hjic-828	225	21	true	true	ADJ
hjic-828	225	22	if	if	SCONJ
hjic-828	226	1	and	and	CCONJ
hjic-828	226	2	only	only	ADV
hjic-828	226	3	if	if	SCONJ
hjic-828	226	4	rank(θ	rank(θ	PROPN
hjic-828	226	5	)	)	PUNCT
hjic-828	226	6	=	=	SYM
hjic-828	227	1	3	3	X
hjic-828	227	2	.	.	X
hjic-828	228	1	it	it	PRON
hjic-828	228	2	is	be	AUX
hjic-828	228	3	easy	easy	ADJ
hjic-828	228	4	to	to	PART
hjic-828	228	5	see	see	VERB
hjic-828	228	6	that	that	SCONJ
hjic-828	228	7	the	the	DET
hjic-828	228	8	matrix	matrix	NOUN
hjic-828	228	9	θ	θ	NOUN
hjic-828	228	10	can	can	AUX
hjic-828	228	11	be	be	AUX
hjic-828	228	12	factorized	factorize	VERB
hjic-828	228	13	as	as	ADP
hjic-828	228	14	θ	θ	PROPN
hjic-828	228	15	=	=	SYM
hjic-828	228	16	a	a	PRON
hjic-828	228	17	·	·	SYM
hjic-828	228	18	d	d	NOUN
hjic-828	228	19	=	=	NOUN
hjic-828	228	20			ADJ
hjic-828	228	21	−ab	−ab	NOUN
hjic-828	228	22	0	0	NUM
hjic-828	228	23	0	0	NUM
hjic-828	228	24	0	0	NUM
hjic-828	228	25	−ab	−ab	NOUN
hjic-828	228	26	0	0	NUM
hjic-828	228	27	0	0	NUM
hjic-828	228	28	0	0	NUM
hjic-828	228	29	ab	ab	PROPN
hjic-828	228	30	−c	−c	NOUN
hjic-828	228	31	0	0	NUM
hjic-828	228	32	0	0	NUM
hjic-828	228	33	0	0	PUNCT
hjic-828	229	1	c	c	PROPN
hjic-828	229	2	−df	−df	PROPN
hjic-828	229	3	ge	ge	PROPN
hjic-828	229	4	0	0	PUNCT
hjic-828	230	1	c	c	PROPN
hjic-828	230	2	df	df	PROPN
hjic-828	230	3	−ge	−ge	NOUN
hjic-828	230	4	0	0	NUM
hjic-828	230	5	0	0	PUNCT
hjic-828	231	1	−df	−df	PROPN
hjic-828	231	2	ge	ge	NOUN
hjic-828	231	3	0	0	NUM
hjic-828	231	4	0	0	NUM
hjic-828	231	5	df	df	PROPN
hjic-828	231	6	−ge	−ge	PROPN
hjic-828	231	7			NOUN
hjic-828	232	1			X
hjic-828	232	2	k	k	X
hjic-828	232	3	(	(	PUNCT
hjic-828	232	4	1	1	NUM
hjic-828	232	5	)	)	PUNCT
hjic-828	232	6	1	1	NUM
hjic-828	232	7	k	k	NOUN
hjic-828	232	8	(	(	PUNCT
hjic-828	232	9	2	2	NUM
hjic-828	232	10	)	)	PUNCT
hjic-828	232	11	1	1	NUM
hjic-828	232	12	k	k	X
hjic-828	232	13	(	(	PUNCT
hjic-828	232	14	3	3	NUM
hjic-828	232	15	)	)	PUNCT
hjic-828	232	16	1	1	NUM
hjic-828	232	17	k	k	X
hjic-828	232	18	(	(	PUNCT
hjic-828	232	19	1	1	NUM
hjic-828	232	20	)	)	PUNCT
hjic-828	232	21	2	2	NUM
hjic-828	232	22	k	k	NOUN
hjic-828	232	23	(	(	PUNCT
hjic-828	232	24	2	2	NUM
hjic-828	232	25	)	)	PUNCT
hjic-828	232	26	2	2	NUM
hjic-828	232	27	k	k	X
hjic-828	232	28	(	(	PUNCT
hjic-828	232	29	3	3	NUM
hjic-828	232	30	)	)	PUNCT
hjic-828	232	31	2	2	NUM
hjic-828	232	32	k	k	X
hjic-828	232	33	(	(	PUNCT
hjic-828	232	34	1	1	NUM
hjic-828	232	35	)	)	PUNCT
hjic-828	232	36	3	3	NUM
hjic-828	232	37	k	k	X
hjic-828	232	38	(	(	PUNCT
hjic-828	232	39	2	2	NUM
hjic-828	232	40	)	)	PUNCT
hjic-828	232	41	3	3	NUM
hjic-828	232	42	k	k	X
hjic-828	232	43	(	(	PUNCT
hjic-828	232	44	3	3	NUM
hjic-828	232	45	)	)	PUNCT
hjic-828	232	46	3	3	NUM
hjic-828	232	47	k	k	X
hjic-828	232	48	(	(	PUNCT
hjic-828	232	49	1	1	NUM
hjic-828	232	50	)	)	PUNCT
hjic-828	232	51	−3	−3	PROPN
hjic-828	233	1	k	k	PROPN
hjic-828	233	2	(	(	PUNCT
hjic-828	233	3	2	2	NUM
hjic-828	233	4	)	)	PUNCT
hjic-828	233	5	−3	−3	PROPN
hjic-828	234	1	k	k	PROPN
hjic-828	234	2	(	(	PUNCT
hjic-828	234	3	3	3	X
hjic-828	234	4	)	)	PUNCT
hjic-828	234	5	−3	−3	NOUN
hjic-828	234	6			PROPN
hjic-828	234	7	(	(	PUNCT
hjic-828	234	8	31	31	NUM
hjic-828	234	9	)	)	PUNCT
hjic-828	234	10	the	the	DET
hjic-828	234	11	condition	condition	NOUN
hjic-828	234	12	rank(θ	rank(θ	PROPN
hjic-828	234	13	)	)	PUNCT
hjic-828	234	14	=	=	SYM
hjic-828	234	15	3	3	NUM
hjic-828	234	16	can	can	AUX
hjic-828	234	17	hold	hold	VERB
hjic-828	234	18	true	true	ADJ
hjic-828	234	19	only	only	ADV
hjic-828	234	20	if	if	SCONJ
hjic-828	234	21	rank(a	rank(a	NOUN
hjic-828	234	22	)	)	PUNCT
hjic-828	234	23	≥	≥	NOUN
hjic-828	234	24	3	3	NUM
hjic-828	234	25	and	and	CCONJ
hjic-828	234	26	rank(d	rank(d	NOUN
hjic-828	234	27	)	)	PUNCT
hjic-828	234	28	≥	≥	NOUN
hjic-828	234	29	3	3	NUM
hjic-828	234	30	.	.	PUNCT
hjic-828	234	31	t	t	PROPN
hjic-828	234	32	he	he	PRON
hjic-828	234	33	3rd	3rd	ADJ
hjic-828	234	34	and	and	CCONJ
hjic-828	234	35	4th	4th	ADJ
hjic-828	234	36	columns	column	NOUN
hjic-828	234	37	in	in	ADP
hjic-828	234	38	matrix	matrix	NOUN
hjic-828	234	39	a	a	PRON
hjic-828	234	40	are	be	AUX
hjic-828	234	41	linearly	linearly	ADV
hjic-828	234	42	dependent	dependent	ADJ
hjic-828	234	43	,	,	PUNCT
hjic-828	234	44	thus	thus	ADV
hjic-828	234	45	rank(a	rank(a	NOUN
hjic-828	234	46	)	)	PUNCT
hjic-828	234	47	≤	≤	NUM
hjic-828	234	48	3	3	NUM
hjic-828	234	49	.	.	PUNCT
hjic-828	235	1	the	the	DET
hjic-828	235	2	condition	condition	NOUN
hjic-828	235	3	rank(a	rank(a	NOUN
hjic-828	235	4	)	)	PUNCT
hjic-828	235	5	=	=	SYM
hjic-828	235	6	3	3	NUM
hjic-828	235	7	can	can	AUX
hjic-828	235	8	hold	hold	VERB
hjic-828	235	9	true	true	ADJ
hjic-828	235	10	only	only	ADV
hjic-828	235	11	if	if	SCONJ
hjic-828	235	12	the	the	DET
hjic-828	235	13	concentrations	concentration	NOUN
hjic-828	235	14	a	a	DET
hjic-828	235	15	,	,	PUNCT
hjic-828	235	16	b	b	NOUN
hjic-828	235	17	,	,	PUNCT
hjic-828	235	18	and	and	CCONJ
hjic-828	235	19	c	c	X
hjic-828	235	20	as	as	ADV
hjic-828	235	21	well	well	ADV
hjic-828	235	22	as	as	ADP
hjic-828	235	23	the	the	DET
hjic-828	235	24	46(2	46(2	NOUN
hjic-828	235	25	)	)	PUNCT
hjic-828	235	26	pp	pp	ADP
hjic-828	235	27	.	.	PUNCT
hjic-828	236	1	19	19	NUM
hjic-828	236	2	-	-	SYM
hjic-828	236	3	25	25	NUM
hjic-828	236	4	(	(	PUNCT
hjic-828	236	5	2018	2018	NUM
hjic-828	236	6	)	)	PUNCT
hjic-828	236	7	24	24	NUM
hjic-828	236	8	virágh	virágh	NOUN
hjic-828	236	9	and	and	CCONJ
hjic-828	236	10	kiss	kiss	VERB
hjic-828	236	11	concentrations	concentration	NOUN
hjic-828	236	12	d	d	NOUN
hjic-828	236	13	and	and	CCONJ
hjic-828	236	14	f	f	PROPN
hjic-828	236	15	,	,	PUNCT
hjic-828	236	16	or	or	CCONJ
hjic-828	236	17	the	the	DET
hjic-828	236	18	concentrations	concentration	NOUN
hjic-828	236	19	g	g	PROPN
hjic-828	236	20	and	and	CCONJ
hjic-828	236	21	e	e	NOUN
hjic-828	236	22	are	be	AUX
hjic-828	236	23	strictly	strictly	ADV
hjic-828	236	24	positive	positive	ADJ
hjic-828	236	25	.	.	PUNCT
hjic-828	237	1	matrix	matrix	NOUN
hjic-828	237	2	d	d	NOUN
hjic-828	237	3	is	be	AUX
hjic-828	237	4	of	of	ADP
hjic-828	237	5	full	full	ADJ
hjic-828	237	6	rank	rank	NOUN
hjic-828	237	7	only	only	ADV
hjic-828	237	8	if	if	SCONJ
hjic-828	237	9	d	d	NOUN
hjic-828	237	10	consists	consist	VERB
hjic-828	237	11	of	of	ADP
hjic-828	237	12	a	a	DET
hjic-828	237	13	3	3	NUM
hjic-828	237	14	×	×	NOUN
hjic-828	237	15	3	3	NUM
hjic-828	237	16	times	time	NOUN
hjic-828	237	17	full	full	ADJ
hjic-828	237	18	-	-	PUNCT
hjic-828	237	19	rank	rank	NOUN
hjic-828	237	20	matrix	matrix	NOUN
hjic-828	237	21	.	.	PUNCT
hjic-828	238	1	lemma	lemma	PROPN
hjic-828	238	2	1	1	NUM
hjic-828	238	3	implies	imply	VERB
hjic-828	238	4	that	that	SCONJ
hjic-828	238	5	the	the	DET
hjic-828	238	6	reaction	reaction	NOUN
hjic-828	238	7	dynamics	dynamic	NOUN
hjic-828	238	8	matrix	matrix	NOUN
hjic-828	238	9	d3	d3	PROPN
hjic-828	238	10	is	be	AUX
hjic-828	238	11	of	of	ADP
hjic-828	238	12	full	full	ADJ
hjic-828	238	13	rank	rank	NOUN
hjic-828	238	14	if	if	SCONJ
hjic-828	238	15	the	the	DET
hjic-828	238	16	activation	activation	NOUN
hjic-828	238	17	energies	energy	NOUN
hjic-828	238	18	are	be	AUX
hjic-828	238	19	different	different	ADJ
hjic-828	238	20	.	.	PUNCT
hjic-828	239	1	hence	hence	ADV
hjic-828	239	2	,	,	PUNCT
hjic-828	239	3	matrix	matrix	NOUN
hjic-828	239	4	d	d	NOUN
hjic-828	239	5	is	be	AUX
hjic-828	239	6	of	of	ADP
hjic-828	239	7	full	full	ADJ
hjic-828	239	8	rank	rank	NOUN
hjic-828	239	9	,	,	PUNCT
hjic-828	239	10	if	if	SCONJ
hjic-828	239	11	3	3	NUM
hjic-828	239	12	different	different	ADJ
hjic-828	239	13	activation	activation	NOUN
hjic-828	239	14	energies	energy	NOUN
hjic-828	239	15	exist	exist	VERB
hjic-828	239	16	.	.	PUNCT
hjic-828	240	1	the	the	DET
hjic-828	240	2	system	system	NOUN
hjic-828	240	3	was	be	AUX
hjic-828	240	4	proven	prove	VERB
hjic-828	240	5	to	to	PART
hjic-828	240	6	be	be	AUX
hjic-828	240	7	strongly	strongly	ADV
hjic-828	240	8	reachable	reachable	ADJ
hjic-828	240	9	if	if	SCONJ
hjic-828	240	10	3	3	NUM
hjic-828	240	11	of	of	ADP
hjic-828	240	12	the	the	DET
hjic-828	240	13	activation	activation	NOUN
hjic-828	240	14	energies	energy	NOUN
hjic-828	240	15	are	be	AUX
hjic-828	240	16	all	all	ADV
hjic-828	240	17	different	different	ADJ
hjic-828	240	18	and	and	CCONJ
hjic-828	240	19	concentrations	concentration	NOUN
hjic-828	240	20	a	a	DET
hjic-828	240	21	,	,	PUNCT
hjic-828	240	22	b	b	NOUN
hjic-828	240	23	,	,	PUNCT
hjic-828	240	24	c	c	PROPN
hjic-828	240	25	and	and	CCONJ
hjic-828	240	26	d	d	PROPN
hjic-828	240	27	,	,	PUNCT
hjic-828	240	28	f	f	PROPN
hjic-828	240	29	,	,	PUNCT
hjic-828	240	30	or	or	CCONJ
hjic-828	240	31	g	g	NOUN
hjic-828	240	32	,	,	PUNCT
hjic-828	240	33	e	e	X
hjic-828	240	34	are	be	AUX
hjic-828	240	35	positive	positive	ADJ
hjic-828	240	36	.	.	PUNCT
hjic-828	241	1	thus	thus	ADV
hjic-828	241	2	a	a	DET
hjic-828	241	3	condition	condition	NOUN
hjic-828	241	4	for	for	ADP
hjic-828	241	5	strong	strong	ADJ
hjic-828	241	6	reachability	reachability	NOUN
hjic-828	241	7	coule	coule	NOUN
hjic-828	241	8	be	be	AUX
hjic-828	241	9	given	give	VERB
hjic-828	241	10	more	more	ADV
hjic-828	241	11	precisely	precisely	ADV
hjic-828	241	12	in	in	ADP
hjic-828	241	13	the	the	DET
hjic-828	241	14	case	case	NOUN
hjic-828	241	15	of	of	ADP
hjic-828	241	16	oximation	oximation	NOUN
hjic-828	241	17	reaction	reaction	NOUN
hjic-828	241	18	in	in	ADP
hjic-828	241	19	weakly	weakly	ADJ
hjic-828	241	20	basic	basic	ADJ
hjic-828	241	21	media	medium	NOUN
hjic-828	241	22	.	.	PUNCT
hjic-828	242	1	5	5	X
hjic-828	242	2	.	.	X
hjic-828	242	3	reversible	reversible	ADJ
hjic-828	242	4	reaction	reaction	NOUN
hjic-828	242	5	step	step	NOUN
hjic-828	242	6	for	for	ADP
hjic-828	242	7	reactions	reaction	NOUN
hjic-828	242	8	of	of	ADP
hjic-828	242	9	general	general	ADJ
hjic-828	242	10	types	type	NOUN
hjic-828	242	11	,	,	PUNCT
hjic-828	242	12	theorem	theorem	VERB
hjic-828	242	13	2	2	NUM
hjic-828	242	14	provides	provide	VERB
hjic-828	242	15	a	a	DET
hjic-828	242	16	condition	condition	NOUN
hjic-828	242	17	for	for	ADP
hjic-828	242	18	strong	strong	ADJ
hjic-828	242	19	reachability	reachability	NOUN
hjic-828	242	20	.	.	PUNCT
hjic-828	243	1	however	however	ADV
hjic-828	243	2	,	,	PUNCT
hjic-828	243	3	it	it	PRON
hjic-828	243	4	will	will	AUX
hjic-828	243	5	be	be	AUX
hjic-828	243	6	shown	show	VERB
hjic-828	243	7	that	that	SCONJ
hjic-828	243	8	if	if	SCONJ
hjic-828	243	9	the	the	DET
hjic-828	243	10	reaction	reaction	NOUN
hjic-828	243	11	contains	contain	VERB
hjic-828	243	12	one	one	NUM
hjic-828	243	13	or	or	CCONJ
hjic-828	243	14	more	more	ADV
hjic-828	243	15	reversible	reversible	ADJ
hjic-828	243	16	steps	step	NOUN
hjic-828	243	17	,	,	PUNCT
hjic-828	243	18	weaker	weak	ADJ
hjic-828	243	19	conditions	condition	NOUN
hjic-828	243	20	are	be	AUX
hjic-828	243	21	sufficient	sufficient	ADJ
hjic-828	243	22	for	for	ADP
hjic-828	243	23	strong	strong	ADJ
hjic-828	243	24	reachability	reachability	NOUN
hjic-828	243	25	.	.	PUNCT
hjic-828	244	1	the	the	DET
hjic-828	244	2	concentrations	concentration	NOUN
hjic-828	244	3	are	be	AUX
hjic-828	244	4	defined	define	VERB
hjic-828	244	5	by	by	ADP
hjic-828	244	6	x1	x1	PROPN
hjic-828	244	7	,	,	PUNCT
hjic-828	244	8	x2	x2	PROPN
hjic-828	244	9	,	,	PUNCT
hjic-828	244	10	.	.	PUNCT
hjic-828	244	11	.	.	PUNCT
hjic-828	245	1	.	.	PUNCT
hjic-828	246	1	,	,	PUNCT
hjic-828	246	2	xm	xm	PROPN
hjic-828	246	3	,	,	PUNCT
hjic-828	246	4	as	as	ADP
hjic-828	246	5	in	in	ADP
hjic-828	246	6	the	the	DET
hjic-828	246	7	previous	previous	ADJ
hjic-828	246	8	sections	section	NOUN
hjic-828	246	9	.	.	PUNCT
hjic-828	247	1	the	the	DET
hjic-828	247	2	notationa	notationa	NOUN
hjic-828	247	3	is	be	AUX
hjic-828	247	4	introduced	introduce	VERB
hjic-828	247	5	for	for	ADP
hjic-828	247	6	the	the	DET
hjic-828	247	7	matrix	matrix	NOUN
hjic-828	247	8	describing	describe	VERB
hjic-828	247	9	the	the	DET
hjic-828	247	10	effect	effect	NOUN
hjic-828	247	11	of	of	ADP
hjic-828	247	12	concentrations	concentration	NOUN
hjic-828	247	13	:	:	PUNCT
hjic-828	247	14	a	a	X
hjic-828	247	15	:	:	PUNCT
hjic-828	247	16	=	=	X
hjic-828	247	17	γ	γ	X
hjic-828	247	18	diag(xα	diag(xα	PROPN
hjic-828	247	19	(	(	PUNCT
hjic-828	247	20	·	·	PUNCT
hjic-828	247	21	,	,	PUNCT
hjic-828	247	22	1	1	NUM
hjic-828	247	23	)	)	PUNCT
hjic-828	247	24	,	,	PUNCT
hjic-828	247	25	xα	xα	PROPN
hjic-828	247	26	(	(	PUNCT
hjic-828	247	27	·	·	PUNCT
hjic-828	247	28	,	,	PUNCT
hjic-828	247	29	2	2	NUM
hjic-828	247	30	)	)	PUNCT
hjic-828	247	31	,	,	PUNCT
hjic-828	247	32	.	.	PUNCT
hjic-828	247	33	.	.	PUNCT
hjic-828	248	1	.	.	PUNCT
hjic-828	249	1	,	,	PUNCT
hjic-828	249	2	xα	xα	PROPN
hjic-828	249	3	(	(	PUNCT
hjic-828	249	4	·	·	PUNCT
hjic-828	249	5	,	,	PUNCT
hjic-828	249	6	r	r	NOUN
hjic-828	249	7	)	)	PUNCT
hjic-828	249	8	)	)	PUNCT
hjic-828	249	9	,	,	PUNCT
hjic-828	249	10	(	(	PUNCT
hjic-828	249	11	32	32	NUM
hjic-828	249	12	)	)	PUNCT
hjic-828	249	13	where	where	SCONJ
hjic-828	249	14	xα(·,r	xα(·,r	NOUN
hjic-828	249	15	)	)	PUNCT
hjic-828	249	16	=	=	PUNCT
hjic-828	249	17	∏m	∏m	X
hjic-828	249	18	m=1	m=1	X
hjic-828	249	19	x	x	SYM
hjic-828	249	20	α(m	α(m	PROPN
hjic-828	249	21	,	,	PUNCT
hjic-828	249	22	r	r	NOUN
hjic-828	249	23	)	)	PUNCT
hjic-828	249	24	m	m	VERB
hjic-828	249	25	and	and	CCONJ
hjic-828	249	26	γ	γ	PROPN
hjic-828	249	27	is	be	AUX
hjic-828	249	28	the	the	DET
hjic-828	249	29	stoichiometric	stoichiometric	ADJ
hjic-828	249	30	matrix	matrix	NOUN
hjic-828	249	31	as	as	SCONJ
hjic-828	249	32	introduced	introduce	VERB
hjic-828	249	33	by	by	ADP
hjic-828	249	34	eq	eq	ADJ
hjic-828	249	35	.	.	PROPN
hjic-828	249	36	5	5	NUM
hjic-828	249	37	.	.	PUNCT
hjic-828	250	1	the	the	DET
hjic-828	250	2	vector	vector	NOUN
hjic-828	250	3	k	k	PROPN
hjic-828	250	4	=	=	PRON
hjic-828	250	5	(	(	PUNCT
hjic-828	250	6	k1	k1	PROPN
hjic-828	250	7	,	,	PUNCT
hjic-828	250	8	k2	k2	NOUN
hjic-828	250	9	,	,	PUNCT
hjic-828	250	10	.	.	PUNCT
hjic-828	250	11	.	.	PUNCT
hjic-828	250	12	.	.	PUNCT
hjic-828	251	1	,	,	PUNCT
hjic-828	251	2	kr)t	kr)t	PROPN
hjic-828	251	3	is	be	AUX
hjic-828	251	4	composed	compose	VERB
hjic-828	251	5	of	of	ADP
hjic-828	251	6	the	the	DET
hjic-828	251	7	reaction	reaction	NOUN
hjic-828	251	8	rate	rate	NOUN
hjic-828	251	9	coefficients	coefficient	NOUN
hjic-828	251	10	.	.	PUNCT
hjic-828	252	1	the	the	DET
hjic-828	252	2	notation	notation	NOUN
hjic-828	252	3	d	d	PROPN
hjic-828	252	4	is	be	AUX
hjic-828	252	5	introduced	introduce	VERB
hjic-828	252	6	for	for	ADP
hjic-828	252	7	the	the	DET
hjic-828	252	8	following	follow	VERB
hjic-828	252	9	matrix	matrix	NOUN
hjic-828	252	10	composed	compose	VERB
hjic-828	252	11	of	of	ADP
hjic-828	252	12	the	the	DET
hjic-828	252	13	derivatives	derivative	NOUN
hjic-828	252	14	of	of	ADP
hjic-828	252	15	reaction	reaction	NOUN
hjic-828	252	16	rate	rate	NOUN
hjic-828	252	17	coefficients	coefficient	NOUN
hjic-828	252	18	:	:	PUNCT
hjic-828	253	1	d	d	X
hjic-828	253	2	:	:	PUNCT
hjic-828	253	3	=	=	SYM
hjic-828	253	4	(	(	PUNCT
hjic-828	253	5	k(1	k(1	NOUN
hjic-828	253	6	)	)	PUNCT
hjic-828	253	7	k(2	k(2	PROPN
hjic-828	253	8	)	)	PUNCT
hjic-828	253	9	...	...	PUNCT
hjic-828	254	1	k(rank(γ	k(rank(γ	PROPN
hjic-828	254	2	)	)	PUNCT
hjic-828	254	3	)	)	PUNCT
hjic-828	254	4	)	)	PUNCT
hjic-828	254	5	.	.	PUNCT
hjic-828	255	1	(	(	PUNCT
hjic-828	255	2	33	33	NUM
hjic-828	255	3	)	)	PUNCT
hjic-828	255	4	lemma	lemma	PROPN
hjic-828	255	5	2	2	NUM
hjic-828	255	6	.	.	PUNCT
hjic-828	256	1	the	the	DET
hjic-828	256	2	reaction	reaction	NOUN
hjic-828	256	3	dynamics	dynamic	NOUN
hjic-828	256	4	in	in	ADP
hjic-828	256	5	eqs	eqs	PROPN
hjic-828	256	6	.	.	PROPN
hjic-828	256	7	6–7	6–7	NUM
hjic-828	256	8	with	with	ADP
hjic-828	256	9	the	the	DET
hjic-828	256	10	input	input	NOUN
hjic-828	256	11	variable	variable	ADJ
hjic-828	256	12	ṫ	ṫ	PROPN
hjic-828	256	13	are	be	AUX
hjic-828	256	14	strongly	strongly	ADV
hjic-828	256	15	reachable	reachable	ADJ
hjic-828	256	16	,	,	PUNCT
hjic-828	256	17	if	if	SCONJ
hjic-828	256	18	rankγ	rankγ	NOUN
hjic-828	256	19	=	=	SYM
hjic-828	256	20	rank(ad	rank(ad	PROPN
hjic-828	256	21	)	)	PUNCT
hjic-828	256	22	,	,	PUNCT
hjic-828	256	23	where	where	SCONJ
hjic-828	256	24	γ	γ	PROPN
hjic-828	256	25	is	be	AUX
hjic-828	256	26	the	the	DET
hjic-828	256	27	stoichiometric	stoichiometric	ADJ
hjic-828	256	28	matrix	matrix	NOUN
hjic-828	256	29	and	and	CCONJ
hjic-828	256	30	a	a	PRON
hjic-828	256	31	and	and	CCONJ
hjic-828	256	32	d	d	NOUN
hjic-828	256	33	are	be	AUX
hjic-828	256	34	defined	define	VERB
hjic-828	256	35	as	as	ADP
hjic-828	256	36	above	above	ADV
hjic-828	256	37	.	.	PUNCT
hjic-828	257	1	proof	proof	NOUN
hjic-828	257	2	the	the	DET
hjic-828	257	3	differential	differential	ADJ
hjic-828	257	4	equation	equation	NOUN
hjic-828	257	5	of	of	ADP
hjic-828	257	6	the	the	DET
hjic-828	257	7	reaction	reaction	NOUN
hjic-828	257	8	reads	read	VERB
hjic-828	257	9	:	:	PUNCT
hjic-828	257	10	(	(	PUNCT
hjic-828	257	11	ẋ	ẋ	INTJ
hjic-828	257	12	ṫ	ṫ	PROPN
hjic-828	257	13	)	)	PUNCT
hjic-828	258	1	=	=	PRON
hjic-828	258	2			VERB
hjic-828	258	3	v	v	NUM
hjic-828	258	4	r∑	r∑	NOUN
hjic-828	258	5	r=1	r=1	NOUN
hjic-828	258	6	kr	kr	PROPN
hjic-828	258	7	βr,0	βr,0	PROPN
hjic-828	258	8	xα	xα	PROPN
hjic-828	258	9	(	(	PUNCT
hjic-828	258	10	·	·	PUNCT
hjic-828	258	11	,	,	PUNCT
hjic-828	258	12	r	r	NOUN
hjic-828	258	13	)	)	PUNCT
hjic-828	258	14	+	+	NOUN
hjic-828	259	1	(	(	PUNCT
hjic-828	259	2	0	0	NUM
hjic-828	259	3	1	1	X
hjic-828	259	4	)	)	PUNCT
hjic-828	259	5	u	u	NOUN
hjic-828	259	6	,	,	PUNCT
hjic-828	259	7	(	(	PUNCT
hjic-828	259	8	34	34	NUM
hjic-828	259	9	)	)	PUNCT
hjic-828	259	10	where	where	SCONJ
hjic-828	259	11	ẋ	ẋ	PROPN
hjic-828	259	12	=	=	PRON
hjic-828	259	13	(	(	PUNCT
hjic-828	259	14	ẋ1	ẋ1	PROPN
hjic-828	259	15	,	,	PUNCT
hjic-828	259	16	ẋ2	ẋ2	PROPN
hjic-828	259	17	,	,	PUNCT
hjic-828	259	18	.	.	PUNCT
hjic-828	259	19	.	.	PUNCT
hjic-828	259	20	.	.	PUNCT
hjic-828	260	1	,	,	PUNCT
hjic-828	260	2	ẋm	ẋm	PROPN
hjic-828	260	3	)	)	PUNCT
hjic-828	260	4	t	t	PROPN
hjic-828	260	5	,	,	PUNCT
hjic-828	260	6	u	u	PROPN
hjic-828	260	7	is	be	AUX
hjic-828	260	8	the	the	DET
hjic-828	260	9	control	control	NOUN
hjic-828	260	10	input	input	NOUN
hjic-828	260	11	and	and	CCONJ
hjic-828	260	12	the	the	DET
hjic-828	260	13	vector	vector	NOUN
hjic-828	260	14	field	field	NOUN
hjic-828	260	15	v	v	NOUN
hjic-828	260	16	stands	stand	VERB
hjic-828	260	17	for	for	ADP
hjic-828	260	18	the	the	DET
hjic-828	260	19	vector	vector	NOUN
hjic-828	260	20	composed	compose	VERB
hjic-828	260	21	of	of	ADP
hjic-828	260	22	the	the	DET
hjic-828	260	23	right	right	ADJ
hjic-828	260	24	-	-	PUNCT
hjic-828	260	25	hand	hand	NOUN
hjic-828	260	26	sides	side	NOUN
hjic-828	260	27	of	of	ADP
hjic-828	260	28	eq	eq	NOUN
hjic-828	260	29	.	.	PROPN
hjic-828	260	30	6	6	NUM
hjic-828	260	31	.	.	X
hjic-828	261	1	as	as	ADP
hjic-828	261	2	in	in	ADP
hjic-828	261	3	the	the	DET
hjic-828	261	4	previous	previous	ADJ
hjic-828	261	5	sections	section	NOUN
hjic-828	261	6	,	,	PUNCT
hjic-828	261	7	the	the	DET
hjic-828	261	8	study	study	NOUN
hjic-828	261	9	of	of	ADP
hjic-828	261	10	strong	strong	ADJ
hjic-828	261	11	reachability	reachability	NOUN
hjic-828	261	12	means	mean	VERB
hjic-828	261	13	verification	verification	NOUN
hjic-828	261	14	of	of	ADP
hjic-828	261	15	the	the	DET
hjic-828	261	16	dimension	dimension	NOUN
hjic-828	261	17	of	of	ADP
hjic-828	261	18	the	the	DET
hjic-828	261	19	controllability	controllability	NOUN
hjic-828	261	20	distribution	distribution	NOUN
hjic-828	261	21	∆c	∆c	NOUN
hjic-828	261	22	.	.	PUNCT
hjic-828	262	1	the	the	DET
hjic-828	262	2	dimension	dimension	NOUN
hjic-828	262	3	of	of	ADP
hjic-828	262	4	the	the	DET
hjic-828	262	5	controlled	control	VERB
hjic-828	262	6	input	input	NOUN
hjic-828	262	7	(	(	PUNCT
hjic-828	262	8	the	the	DET
hjic-828	262	9	dimension	dimension	NOUN
hjic-828	262	10	of	of	ADP
hjic-828	262	11	the	the	DET
hjic-828	262	12	change	change	NOUN
hjic-828	262	13	in	in	ADP
hjic-828	262	14	temperature	temperature	NOUN
hjic-828	262	15	)	)	PUNCT
hjic-828	262	16	is	be	AUX
hjic-828	262	17	1	1	NUM
hjic-828	262	18	,	,	PUNCT
hjic-828	262	19	thus	thus	ADV
hjic-828	262	20	,	,	PUNCT
hjic-828	262	21	theorem	theorem	ADJ
hjic-828	262	22	1	1	NUM
hjic-828	262	23	implies	imply	VERB
hjic-828	262	24	that	that	SCONJ
hjic-828	262	25	the	the	DET
hjic-828	262	26	system	system	NOUN
hjic-828	262	27	is	be	AUX
hjic-828	262	28	strongly	strongly	ADV
hjic-828	262	29	reachable	reachable	ADJ
hjic-828	262	30	if	if	SCONJ
hjic-828	262	31	and	and	CCONJ
hjic-828	262	32	only	only	ADV
hjic-828	262	33	if	if	SCONJ
hjic-828	262	34	dim{∆}c	dim{∆}c	PROPN
hjic-828	262	35	=	=	SYM
hjic-828	262	36	rank(γ	rank(γ	PROPN
hjic-828	262	37	)	)	PUNCT
hjic-828	263	1	+	+	NOUN
hjic-828	264	1	1	1	X
hjic-828	264	2	.	.	PUNCT
hjic-828	264	3	the	the	DET
hjic-828	264	4	vector	vector	NOUN
hjic-828	264	5	fields	field	NOUN
hjic-828	264	6	spanning	span	VERB
hjic-828	264	7	the	the	DET
hjic-828	264	8	controllability	controllability	NOUN
hjic-828	264	9	distribution	distribution	NOUN
hjic-828	264	10	are	be	AUX
hjic-828	264	11	g	g	NOUN
hjic-828	264	12	and	and	CCONJ
hjic-828	264	13	adigf	adigf	NOUN
hjic-828	264	14	for	for	ADP
hjic-828	264	15	i	i	PROPN
hjic-828	264	16	>	>	X
hjic-828	264	17	0	0	X
hjic-828	264	18	.	.	PUNCT
hjic-828	265	1	the	the	DET
hjic-828	265	2	lie	lie	NOUN
hjic-828	265	3	bracket	bracket	NOUN
hjic-828	265	4	adigf	adigf	ADJ
hjic-828	265	5	reads	read	NOUN
hjic-828	265	6	:	:	PUNCT
hjic-828	265	7	adigf=	adigf=	NUM
hjic-828	265	8			X
hjic-828	265	9	v(i	v(i	NUM
hjic-828	265	10	)	)	PUNCT
hjic-828	265	11	r∑	r∑	NOUN
hjic-828	265	12	r=1	r=1	NOUN
hjic-828	265	13	k	k	X
hjic-828	265	14	(	(	PUNCT
hjic-828	265	15	i	i	NOUN
hjic-828	265	16	)	)	PUNCT
hjic-828	265	17	r	r	NOUN
hjic-828	265	18	βr,0	βr,0	NOUN
hjic-828	265	19	xα	xα	PROPN
hjic-828	265	20	(	(	PUNCT
hjic-828	265	21	·	·	PUNCT
hjic-828	265	22	,	,	PUNCT
hjic-828	265	23	r	r	NOUN
hjic-828	265	24	)	)	PUNCT
hjic-828	265	25	=	=	NOUN
hjic-828	265	26			VERB
hjic-828	265	27	a	a	DET
hjic-828	265	28	·	·	PUNCT
hjic-828	265	29	k(i	k(i	NOUN
hjic-828	265	30	)	)	PUNCT
hjic-828	265	31	r∑	r∑	NOUN
hjic-828	265	32	r=1	r=1	NOUN
hjic-828	266	1	k	k	X
hjic-828	266	2	(	(	PUNCT
hjic-828	266	3	i	i	NOUN
hjic-828	266	4	)	)	PUNCT
hjic-828	266	5	r	r	NOUN
hjic-828	266	6	βr,0	βr,0	NOUN
hjic-828	266	7	xα	xα	PROPN
hjic-828	266	8	(	(	PUNCT
hjic-828	266	9	·	·	PUNCT
hjic-828	266	10	,	,	PUNCT
hjic-828	266	11	r	r	NOUN
hjic-828	266	12	)	)	PUNCT
hjic-828	266	13			NOUN
hjic-828	266	14	(	(	PUNCT
hjic-828	266	15	35	35	NUM
hjic-828	266	16	)	)	PUNCT
hjic-828	266	17	for	for	ADP
hjic-828	266	18	i	i	PROPN
hjic-828	266	19	∈	∈	PROPN
hjic-828	266	20	{	{	PUNCT
hjic-828	266	21	1	1	NUM
hjic-828	266	22	,	,	PUNCT
hjic-828	266	23	2	2	NUM
hjic-828	266	24	,	,	PUNCT
hjic-828	266	25	.	.	PUNCT
hjic-828	266	26	.	.	PUNCT
hjic-828	266	27	.	.	PUNCT
hjic-828	267	1	,	,	PUNCT
hjic-828	267	2	rankγ	rankγ	NOUN
hjic-828	267	3	}	}	PUNCT
hjic-828	267	4	.	.	PUNCT
hjic-828	268	1	the	the	DET
hjic-828	268	2	rank	rank	NOUN
hjic-828	268	3	of	of	ADP
hjic-828	268	4	the	the	DET
hjic-828	268	5	controllability	controllability	NOUN
hjic-828	268	6	distribution	distribution	NOUN
hjic-828	268	7	is	be	AUX
hjic-828	268	8	hence	hence	ADV
hjic-828	268	9	the	the	DET
hjic-828	268	10	rank	rank	NOUN
hjic-828	268	11	of	of	ADP
hjic-828	268	12	the	the	DET
hjic-828	268	13	matrix	matrix	NOUN
hjic-828	268	14	(	(	PUNCT
hjic-828	268	15	adgf	adgf	NOUN
hjic-828	268	16	ad2	ad2	PROPN
hjic-828	268	17	gf	gf	PROPN
hjic-828	268	18	.	.	PUNCT
hjic-828	268	19	.	.	PUNCT
hjic-828	268	20	.	.	PUNCT
hjic-828	269	1	adrankγ	adrankγ	PROPN
hjic-828	269	2	g	g	PROPN
hjic-828	269	3	f	f	PROPN
hjic-828	269	4	g	g	PROPN
hjic-828	269	5	)	)	PUNCT
hjic-828	270	1	=	=	NOUN
hjic-828	270	2			X
hjic-828	270	3	a	a	PRON
hjic-828	270	4	·	·	PUNCT
hjic-828	270	5	k(1	k(1	NOUN
hjic-828	270	6	)	)	PUNCT
hjic-828	270	7	.	.	PUNCT
hjic-828	270	8	.	.	PUNCT
hjic-828	270	9	.	.	PUNCT
hjic-828	271	1	a	a	DET
hjic-828	271	2	·	·	PUNCT
hjic-828	271	3	k(rankγ	k(rankγ	NUM
hjic-828	271	4	)	)	PUNCT
hjic-828	271	5	0	0	PUNCT
hjic-828	271	6	r∑	r∑	NOUN
hjic-828	271	7	r=1	r=1	NOUN
hjic-828	271	8	k	k	X
hjic-828	271	9	(	(	PUNCT
hjic-828	271	10	1	1	X
hjic-828	271	11	)	)	PUNCT
hjic-828	271	12	r	r	NOUN
hjic-828	271	13	βr,0	βr,0	NOUN
hjic-828	271	14	xα	xα	PROPN
hjic-828	271	15	(	(	PUNCT
hjic-828	271	16	·	·	PUNCT
hjic-828	271	17	,	,	PUNCT
hjic-828	271	18	r	r	NOUN
hjic-828	271	19	)	)	PUNCT
hjic-828	271	20	.	.	PUNCT
hjic-828	271	21	.	.	PUNCT
hjic-828	271	22	.	.	PUNCT
hjic-828	272	1	r∑	r∑	NOUN
hjic-828	272	2	r=1	r=1	NOUN
hjic-828	272	3	k(rankγ	k(rankγ	X
hjic-828	272	4	)	)	PUNCT
hjic-828	272	5	βr,0	βr,0	NOUN
hjic-828	272	6	xα	xα	PROPN
hjic-828	272	7	(	(	PUNCT
hjic-828	272	8	·	·	PUNCT
hjic-828	272	9	,	,	PUNCT
hjic-828	272	10	r	r	NOUN
hjic-828	272	11	)	)	PUNCT
hjic-828	272	12	1	1	NUM
hjic-828	272	13			NOUN
hjic-828	272	14	(	(	PUNCT
hjic-828	272	15	36	36	NUM
hjic-828	272	16	)	)	PUNCT
hjic-828	272	17	the	the	DET
hjic-828	272	18	last	last	ADJ
hjic-828	272	19	row	row	NOUN
hjic-828	272	20	in	in	ADP
hjic-828	272	21	eq	eq	ADP
hjic-828	272	22	.	.	PROPN
hjic-828	272	23	36	36	NUM
hjic-828	272	24	is	be	AUX
hjic-828	272	25	linearly	linearly	ADV
hjic-828	272	26	independent	independent	ADJ
hjic-828	272	27	of	of	ADP
hjic-828	272	28	the	the	DET
hjic-828	272	29	others	other	NOUN
hjic-828	272	30	,	,	PUNCT
hjic-828	272	31	hence	hence	ADV
hjic-828	272	32	,	,	PUNCT
hjic-828	272	33	the	the	DET
hjic-828	272	34	same	same	ADJ
hjic-828	272	35	reasoning	reasoning	NOUN
hjic-828	272	36	as	as	SCONJ
hjic-828	272	37	earlier	early	ADV
hjic-828	272	38	is	be	AUX
hjic-828	272	39	followed	follow	VERB
hjic-828	272	40	and	and	CCONJ
hjic-828	272	41	the	the	DET
hjic-828	272	42	last	last	ADJ
hjic-828	272	43	row	row	NOUN
hjic-828	272	44	and	and	CCONJ
hjic-828	272	45	columns	column	NOUN
hjic-828	272	46	are	be	AUX
hjic-828	272	47	eliminated	eliminate	VERB
hjic-828	272	48	,	,	PUNCT
hjic-828	272	49	thus	thus	ADV
hjic-828	272	50	,	,	PUNCT
hjic-828	272	51	decreasing	decrease	VERB
hjic-828	272	52	the	the	DET
hjic-828	272	53	rank	rank	NOUN
hjic-828	272	54	by	by	ADP
hjic-828	272	55	one	one	NUM
hjic-828	272	56	.	.	PUNCT
hjic-828	273	1	the	the	DET
hjic-828	273	2	resulting	result	VERB
hjic-828	273	3	matrix	matrix	NOUN
hjic-828	273	4	is	be	AUX
hjic-828	273	5	denoted	denote	VERB
hjic-828	273	6	by	by	ADP
hjic-828	273	7	θ	θ	PROPN
hjic-828	273	8	and	and	CCONJ
hjic-828	273	9	reads	read	VERB
hjic-828	273	10	:	:	PUNCT
hjic-828	273	11	θ	θ	X
hjic-828	273	12	=	=	PUNCT
hjic-828	273	13	(	(	PUNCT
hjic-828	273	14	a	a	PRON
hjic-828	273	15	·	·	PUNCT
hjic-828	273	16	k(1	k(1	NOUN
hjic-828	273	17	)	)	PUNCT
hjic-828	273	18	a	a	DET
hjic-828	273	19	·	·	PUNCT
hjic-828	273	20	k(2	k(2	NOUN
hjic-828	273	21	)	)	PUNCT
hjic-828	273	22	.	.	PUNCT
hjic-828	273	23	.	.	PUNCT
hjic-828	273	24	.	.	PUNCT
hjic-828	274	1	a	a	DET
hjic-828	274	2	·	·	PUNCT
hjic-828	274	3	k(rankγ	k(rankγ	NUM
hjic-828	274	4	)	)	PUNCT
hjic-828	274	5	)	)	PUNCT
hjic-828	275	1	=	=	PUNCT
hjic-828	275	2	=	=	SYM
hjic-828	275	3	ad	ad	NOUN
hjic-828	275	4	.	.	PUNCT
hjic-828	276	1	(	(	PUNCT
hjic-828	276	2	37	37	NUM
hjic-828	276	3	)	)	PUNCT
hjic-828	276	4	since	since	SCONJ
hjic-828	276	5	the	the	DET
hjic-828	276	6	dimension	dimension	NOUN
hjic-828	276	7	of	of	ADP
hjic-828	276	8	the	the	DET
hjic-828	276	9	controllability	controllability	NOUN
hjic-828	276	10	distribution	distribution	NOUN
hjic-828	276	11	is	be	AUX
hjic-828	276	12	rank(θ	rank(θ	PROPN
hjic-828	276	13	)	)	PUNCT
hjic-828	276	14	+	+	NUM
hjic-828	276	15	1	1	NUM
hjic-828	276	16	,	,	PUNCT
hjic-828	276	17	the	the	DET
hjic-828	276	18	reaction	reaction	NOUN
hjic-828	276	19	dynamics	dynamic	NOUN
hjic-828	276	20	are	be	AUX
hjic-828	276	21	strongly	strongly	ADV
hjic-828	276	22	reachable	reachable	ADJ
hjic-828	276	23	if	if	SCONJ
hjic-828	276	24	rankγ	rankγ	NOUN
hjic-828	276	25	=	=	SYM
hjic-828	276	26	rankθ	rankθ	NOUN
hjic-828	276	27	or	or	CCONJ
hjic-828	276	28	if	if	SCONJ
hjic-828	276	29	rankγ	rankγ	ADJ
hjic-828	276	30	=	=	SYM
hjic-828	276	31	rank(ad	rank(ad	PROPN
hjic-828	276	32	)	)	PUNCT
hjic-828	276	33	.	.	PUNCT
hjic-828	277	1	theorem	theorem	NOUN
hjic-828	277	2	3	3	X
hjic-828	277	3	.	.	PUNCT
hjic-828	277	4	consider	consider	VERB
hjic-828	277	5	the	the	DET
hjic-828	277	6	reaction	reaction	NOUN
hjic-828	277	7	dynamics	dynamics	PROPN
hjic-828	277	8	eqs	eqs	PROPN
hjic-828	277	9	.	.	PUNCT
hjic-828	278	1	6–7	6–7	NUM
hjic-828	278	2	such	such	ADJ
hjic-828	278	3	that	that	SCONJ
hjic-828	278	4	the	the	DET
hjic-828	278	5	activation	activation	NOUN
hjic-828	278	6	energies	energy	NOUN
hjic-828	278	7	e1	e1	PROPN
hjic-828	278	8	,	,	PUNCT
hjic-828	278	9	e2	e2	PROPN
hjic-828	278	10	,	,	PUNCT
hjic-828	278	11	.	.	PUNCT
hjic-828	278	12	.	.	PUNCT
hjic-828	279	1	.	.	PUNCT
hjic-828	280	1	,	,	PUNCT
hjic-828	280	2	er	er	INTJ
hjic-828	280	3	are	be	AUX
hjic-828	280	4	positive	positive	ADJ
hjic-828	280	5	and	and	CCONJ
hjic-828	280	6	different	different	ADJ
hjic-828	280	7	in	in	ADP
hjic-828	280	8	pairs	pair	NOUN
hjic-828	280	9	.	.	PUNCT
hjic-828	281	1	suppose	suppose	VERB
hjic-828	281	2	that	that	SCONJ
hjic-828	281	3	the	the	DET
hjic-828	281	4	concentrations	concentration	NOUN
hjic-828	281	5	of	of	ADP
hjic-828	281	6	reactant	reactant	NOUN
hjic-828	281	7	species	specie	NOUN
hjic-828	281	8	are	be	AUX
hjic-828	281	9	positive	positive	ADJ
hjic-828	281	10	in	in	ADP
hjic-828	281	11	the	the	DET
hjic-828	281	12	case	case	NOUN
hjic-828	281	13	of	of	ADP
hjic-828	281	14	oneway	oneway	ADJ
hjic-828	281	15	reaction	reaction	NOUN
hjic-828	281	16	steps	step	NOUN
hjic-828	281	17	and	and	CCONJ
hjic-828	281	18	at	at	ADV
hjic-828	281	19	least	least	ADJ
hjic-828	281	20	one	one	NUM
hjic-828	281	21	of	of	ADP
hjic-828	281	22	the	the	DET
hjic-828	281	23	ways	way	NOUN
hjic-828	281	24	is	be	AUX
hjic-828	281	25	positive	positive	ADJ
hjic-828	281	26	in	in	ADP
hjic-828	281	27	the	the	DET
hjic-828	281	28	case	case	NOUN
hjic-828	281	29	of	of	ADP
hjic-828	281	30	reversible	reversible	ADJ
hjic-828	281	31	reaction	reaction	NOUN
hjic-828	281	32	steps	step	NOUN
hjic-828	281	33	.	.	PUNCT
hjic-828	282	1	then	then	ADV
hjic-828	282	2	,	,	PUNCT
hjic-828	282	3	the	the	DET
hjic-828	282	4	reaction	reaction	NOUN
hjic-828	282	5	dynamics	dynamic	NOUN
hjic-828	282	6	controlled	control	VERB
hjic-828	282	7	by	by	ADP
hjic-828	282	8	ṫ	ṫ	PROPN
hjic-828	282	9	are	be	AUX
hjic-828	282	10	strongly	strongly	ADV
hjic-828	282	11	reachable	reachable	ADJ
hjic-828	282	12	.	.	PUNCT
hjic-828	283	1	proof	proof	NOUN
hjic-828	283	2	if	if	SCONJ
hjic-828	283	3	the	the	DET
hjic-828	283	4	system	system	NOUN
hjic-828	283	5	does	do	AUX
hjic-828	283	6	not	not	PART
hjic-828	283	7	contain	contain	VERB
hjic-828	283	8	reversible	reversible	ADJ
hjic-828	283	9	reaction	reaction	NOUN
hjic-828	283	10	steps	step	NOUN
hjic-828	283	11	,	,	PUNCT
hjic-828	283	12	theorem	theorem	VERB
hjic-828	283	13	2	2	NUM
hjic-828	283	14	is	be	AUX
hjic-828	283	15	obtained	obtain	VERB
hjic-828	283	16	.	.	PUNCT
hjic-828	284	1	without	without	ADP
hjic-828	284	2	loss	loss	NOUN
hjic-828	284	3	of	of	ADP
hjic-828	284	4	generality	generality	NOUN
hjic-828	284	5	,	,	PUNCT
hjic-828	284	6	it	it	PRON
hjic-828	284	7	can	can	AUX
hjic-828	284	8	be	be	AUX
hjic-828	284	9	supposed	suppose	VERB
hjic-828	284	10	that	that	SCONJ
hjic-828	284	11	the	the	DET
hjic-828	284	12	system	system	NOUN
hjic-828	284	13	contains	contain	VERB
hjic-828	284	14	one	one	NUM
hjic-828	284	15	reversible	reversible	ADJ
hjic-828	284	16	reaction	reaction	NOUN
hjic-828	284	17	step	step	NOUN
hjic-828	284	18	.	.	PUNCT
hjic-828	285	1	this	this	DET
hjic-828	285	2	step	step	NOUN
hjic-828	285	3	can	can	AUX
hjic-828	285	4	be	be	AUX
hjic-828	285	5	replaced	replace	VERB
hjic-828	285	6	by	by	ADP
hjic-828	285	7	pairs	pair	NOUN
hjic-828	285	8	of	of	ADP
hjic-828	285	9	irreversible	irreversible	ADJ
hjic-828	285	10	reaction	reaction	NOUN
hjic-828	285	11	steps	step	NOUN
hjic-828	285	12	,	,	PUNCT
hjic-828	285	13	with	with	ADP
hjic-828	285	14	reaction	reaction	NOUN
hjic-828	285	15	rate	rate	NOUN
hjic-828	285	16	coefficients	coefficient	NOUN
hjic-828	285	17	denoted	denote	VERB
hjic-828	285	18	by	by	ADP
hjic-828	285	19	ke	ke	PROPN
hjic-828	285	20	and	and	CCONJ
hjic-828	285	21	k−e	k−e	PROPN
hjic-828	285	22	.	.	PUNCT
hjic-828	286	1	the	the	DET
hjic-828	286	2	changes	change	NOUN
hjic-828	286	3	in	in	ADP
hjic-828	286	4	the	the	DET
hjic-828	286	5	concentrations	concentration	NOUN
hjic-828	286	6	are	be	AUX
hjic-828	286	7	equal	equal	ADJ
hjic-828	286	8	in	in	ADP
hjic-828	286	9	the	the	DET
hjic-828	286	10	reaction	reaction	NOUN
hjic-828	286	11	step	step	NOUN
hjic-828	286	12	with	with	ADP
hjic-828	286	13	rate	rate	NOUN
hjic-828	286	14	coefficient	coefficient	NOUN
hjic-828	286	15	ke	ke	NOUN
hjic-828	286	16	and	and	CCONJ
hjic-828	286	17	in	in	ADP
hjic-828	286	18	the	the	DET
hjic-828	286	19	reaction	reaction	NOUN
hjic-828	286	20	step	step	NOUN
hjic-828	286	21	with	with	ADP
hjic-828	286	22	rate	rate	NOUN
hjic-828	286	23	coefficient	coefficient	PROPN
hjic-828	286	24	k−e	k−e	PROPN
hjic-828	286	25	,	,	PUNCT
hjic-828	286	26	only	only	ADV
hjic-828	286	27	the	the	DET
hjic-828	286	28	direction	direction	NOUN
hjic-828	286	29	is	be	AUX
hjic-828	286	30	different	different	ADJ
hjic-828	286	31	.	.	PUNCT
hjic-828	287	1	thus	thus	ADV
hjic-828	287	2	,	,	PUNCT
hjic-828	287	3	the	the	DET
hjic-828	287	4	two	two	NUM
hjic-828	287	5	columns	column	NOUN
hjic-828	287	6	in	in	ADP
hjic-828	287	7	matrix	matrix	NOUN
hjic-828	287	8	γ	γ	NOUN
hjic-828	287	9	for	for	ADP
hjic-828	287	10	the	the	DET
hjic-828	287	11	reversible	reversible	ADJ
hjic-828	287	12	reaction	reaction	NOUN
hjic-828	287	13	steps	step	NOUN
hjic-828	287	14	are	be	AUX
hjic-828	287	15	always	always	ADV
hjic-828	287	16	linearly	linearly	ADV
hjic-828	287	17	dependent	dependent	ADJ
hjic-828	287	18	.	.	PUNCT
hjic-828	288	1	lemma	lemma	PROPN
hjic-828	288	2	2	2	NUM
hjic-828	288	3	implies	imply	VERB
hjic-828	288	4	that	that	SCONJ
hjic-828	288	5	the	the	DET
hjic-828	288	6	system	system	NOUN
hjic-828	288	7	is	be	AUX
hjic-828	288	8	strongly	strongly	ADV
hjic-828	288	9	reachable	reachable	ADJ
hjic-828	288	10	if	if	SCONJ
hjic-828	288	11	and	and	CCONJ
hjic-828	288	12	only	only	ADV
hjic-828	288	13	if	if	SCONJ
hjic-828	288	14	rankγ	rankγ	PROPN
hjic-828	288	15	=	=	SYM
hjic-828	288	16	rank(ad	rank(ad	PROPN
hjic-828	288	17	)	)	PUNCT
hjic-828	288	18	.	.	PUNCT
hjic-828	289	1	if	if	SCONJ
hjic-828	289	2	the	the	DET
hjic-828	289	3	activation	activation	NOUN
hjic-828	289	4	energies	energy	NOUN
hjic-828	289	5	are	be	AUX
hjic-828	289	6	positive	positive	ADJ
hjic-828	289	7	and	and	CCONJ
hjic-828	289	8	all	all	ADV
hjic-828	289	9	different	different	ADJ
hjic-828	289	10	,	,	PUNCT
hjic-828	289	11	lemma	lemma	PROPN
hjic-828	289	12	1	1	NUM
hjic-828	289	13	implies	imply	VERB
hjic-828	289	14	that	that	DET
hjic-828	289	15	matrix	matrix	NOUN
hjic-828	289	16	d	d	NOUN
hjic-828	289	17	is	be	AUX
hjic-828	289	18	of	of	ADP
hjic-828	289	19	full	full	ADJ
hjic-828	289	20	rank	rank	NOUN
hjic-828	289	21	.	.	PUNCT
hjic-828	290	1	the	the	DET
hjic-828	290	2	matrix	matrix	NOUN
hjic-828	290	3	a	a	PRON
hjic-828	290	4	is	be	AUX
hjic-828	290	5	defined	define	VERB
hjic-828	290	6	by	by	ADP
hjic-828	290	7	eq	eq	ADJ
hjic-828	290	8	.	.	PROPN
hjic-828	290	9	32	32	NUM
hjic-828	290	10	,	,	PUNCT
hjic-828	290	11	thus	thus	ADV
hjic-828	290	12	,	,	PUNCT
hjic-828	290	13	the	the	DET
hjic-828	290	14	columns	column	NOUN
hjic-828	290	15	for	for	ADP
hjic-828	290	16	ke	ke	PROPN
hjic-828	290	17	and	and	CCONJ
hjic-828	290	18	k−e	k−e	PROPN
hjic-828	290	19	are	be	AUX
hjic-828	290	20	linearly	linearly	ADV
hjic-828	290	21	dependent	dependent	ADJ
hjic-828	290	22	.	.	PUNCT
hjic-828	291	1	the	the	DET
hjic-828	291	2	column	column	NOUN
hjic-828	291	3	for	for	ADP
hjic-828	291	4	ke	ke	PROPN
hjic-828	291	5	contains	contain	VERB
hjic-828	291	6	the	the	DET
hjic-828	291	7	factor	factor	NOUN
hjic-828	291	8	of	of	ADP
hjic-828	291	9	the	the	DET
hjic-828	291	10	concentrations	concentration	NOUN
hjic-828	291	11	of	of	ADP
hjic-828	291	12	the	the	DET
hjic-828	291	13	reactant	reactant	NOUN
hjic-828	291	14	species	specie	NOUN
hjic-828	291	15	in	in	ADP
hjic-828	291	16	the	the	DET
hjic-828	291	17	transformation	transformation	NOUN
hjic-828	291	18	step	step	NOUN
hjic-828	291	19	and	and	CCONJ
hjic-828	291	20	k−e	k−e	PROPN
hjic-828	291	21	contains	contain	VERB
hjic-828	291	22	the	the	DET
hjic-828	291	23	factor	factor	NOUN
hjic-828	291	24	of	of	ADP
hjic-828	291	25	the	the	DET
hjic-828	291	26	concentrations	concentration	NOUN
hjic-828	291	27	of	of	ADP
hjic-828	291	28	the	the	DET
hjic-828	291	29	reactant	reactant	NOUN
hjic-828	291	30	species	specie	NOUN
hjic-828	291	31	in	in	ADP
hjic-828	291	32	the	the	DET
hjic-828	291	33	transformation	transformation	NOUN
hjic-828	291	34	step	step	NOUN
hjic-828	291	35	in	in	ADP
hjic-828	291	36	the	the	DET
hjic-828	291	37	opposite	opposite	ADJ
hjic-828	291	38	direction	direction	NOUN
hjic-828	291	39	with	with	ADP
hjic-828	291	40	the	the	DET
hjic-828	291	41	arbitrary	arbitrary	ADJ
hjic-828	291	42	sign	sign	NOUN
hjic-828	291	43	in	in	ADP
hjic-828	291	44	the	the	DET
hjic-828	291	45	place	place	NOUN
hjic-828	291	46	of	of	ADP
hjic-828	291	47	non	non	ADJ
hjic-828	291	48	-	-	ADJ
hjic-828	291	49	zero	zero	NUM
hjic-828	291	50	elements	element	NOUN
hjic-828	291	51	.	.	PUNCT
hjic-828	292	1	by	by	ADP
hjic-828	292	2	substituting	substitute	VERB
hjic-828	292	3	one	one	NUM
hjic-828	292	4	of	of	ADP
hjic-828	292	5	the	the	DET
hjic-828	292	6	two	two	NUM
hjic-828	292	7	vector	vector	NOUN
hjic-828	292	8	fields	field	NOUN
hjic-828	292	9	with	with	ADP
hjic-828	292	10	a	a	DET
hjic-828	292	11	zero	zero	NUM
hjic-828	292	12	vector	vector	NOUN
hjic-828	292	13	field	field	NOUN
hjic-828	292	14	,	,	PUNCT
hjic-828	292	15	the	the	DET
hjic-828	292	16	rank	rank	NOUN
hjic-828	292	17	of	of	ADP
hjic-828	292	18	matrix	matrix	NOUN
hjic-828	292	19	a	a	DET
hjic-828	292	20	remains	remain	NOUN
hjic-828	292	21	unchanged	unchanged	ADJ
hjic-828	292	22	.	.	PUNCT
hjic-828	293	1	thus	thus	ADV
hjic-828	293	2	,	,	PUNCT
hjic-828	293	3	in	in	ADP
hjic-828	293	4	the	the	DET
hjic-828	293	5	case	case	NOUN
hjic-828	293	6	of	of	ADP
hjic-828	293	7	reversible	reversible	ADJ
hjic-828	293	8	reactions	reaction	NOUN
hjic-828	293	9	for	for	ADP
hjic-828	293	10	strong	strong	ADJ
hjic-828	293	11	reachability	reachability	NOUN
hjic-828	293	12	,	,	PUNCT
hjic-828	293	13	it	it	PRON
hjic-828	293	14	is	be	AUX
hjic-828	293	15	sufficient	sufficient	ADJ
hjic-828	293	16	if	if	SCONJ
hjic-828	293	17	the	the	DET
hjic-828	293	18	reactant	reactant	NOUN
hjic-828	293	19	species	specie	NOUN
hjic-828	293	20	have	have	VERB
hjic-828	293	21	positive	positive	ADJ
hjic-828	293	22	concentrations	concentration	NOUN
hjic-828	293	23	only	only	ADV
hjic-828	293	24	in	in	ADP
hjic-828	293	25	one	one	NUM
hjic-828	293	26	of	of	ADP
hjic-828	293	27	the	the	DET
hjic-828	293	28	directions	direction	NOUN
hjic-828	293	29	,	,	PUNCT
hjic-828	293	30	and	and	CCONJ
hjic-828	293	31	the	the	DET
hjic-828	293	32	activation	activation	NOUN
hjic-828	293	33	energies	energy	NOUN
hjic-828	293	34	are	be	AUX
hjic-828	293	35	positive	positive	ADJ
hjic-828	293	36	and	and	CCONJ
hjic-828	293	37	all	all	ADV
hjic-828	293	38	different	different	ADJ
hjic-828	293	39	.	.	PUNCT
hjic-828	294	1	hungarian	hungarian	ADJ
hjic-828	294	2	journal	journal	NOUN
hjic-828	294	3	of	of	ADP
hjic-828	294	4	industry	industry	NOUN
hjic-828	294	5	and	and	CCONJ
hjic-828	294	6	chemistry	chemistry	NOUN
hjic-828	294	7	strong	strong	ADJ
hjic-828	294	8	reachability	reachability	NOUN
hjic-828	294	9	of	of	ADP
hjic-828	294	10	reactions	reaction	NOUN
hjic-828	294	11	with	with	ADP
hjic-828	294	12	reversible	reversible	ADJ
hjic-828	294	13	steps	step	NOUN
hjic-828	294	14	25	25	NUM
hjic-828	294	15	6	6	NUM
hjic-828	294	16	.	.	PUNCT
hjic-828	295	1	conclusion	conclusion	VERB
hjic-828	295	2	the	the	DET
hjic-828	295	3	reaction	reaction	NOUN
hjic-828	295	4	dynamics	dynamic	NOUN
hjic-828	295	5	of	of	ADP
hjic-828	295	6	strong	strong	ADJ
hjic-828	295	7	reachability	reachability	NOUN
hjic-828	295	8	where	where	SCONJ
hjic-828	295	9	the	the	DET
hjic-828	295	10	control	control	NOUN
hjic-828	295	11	variable	variable	NOUN
hjic-828	295	12	is	be	AUX
hjic-828	295	13	selected	select	VERB
hjic-828	295	14	as	as	SCONJ
hjic-828	295	15	the	the	DET
hjic-828	295	16	rate	rate	NOUN
hjic-828	295	17	of	of	ADP
hjic-828	295	18	change	change	NOUN
hjic-828	295	19	in	in	ADP
hjic-828	295	20	the	the	DET
hjic-828	295	21	ambient	ambient	ADJ
hjic-828	295	22	temperature	temperature	NOUN
hjic-828	295	23	(	(	PUNCT
hjic-828	295	24	ṫ	ṫ	PROPN
hjic-828	295	25	)	)	PUNCT
hjic-828	295	26	have	have	AUX
hjic-828	295	27	been	be	AUX
hjic-828	295	28	studied	study	VERB
hjic-828	295	29	.	.	PUNCT
hjic-828	296	1	first	first	ADV
hjic-828	296	2	,	,	PUNCT
hjic-828	296	3	the	the	DET
hjic-828	296	4	strong	strong	ADJ
hjic-828	296	5	reachability	reachability	NOUN
hjic-828	296	6	was	be	AUX
hjic-828	296	7	analyzed	analyze	VERB
hjic-828	296	8	in	in	ADP
hjic-828	296	9	the	the	DET
hjic-828	296	10	case	case	NOUN
hjic-828	296	11	of	of	ADP
hjic-828	296	12	the	the	DET
hjic-828	296	13	oximation	oximation	NOUN
hjic-828	296	14	reaction	reaction	NOUN
hjic-828	296	15	.	.	PUNCT
hjic-828	297	1	since	since	SCONJ
hjic-828	297	2	the	the	DET
hjic-828	297	3	processes	process	NOUN
hjic-828	297	4	depend	depend	VERB
hjic-828	297	5	on	on	ADP
hjic-828	297	6	the	the	DET
hjic-828	297	7	ph	ph	NOUN
hjic-828	297	8	,	,	PUNCT
hjic-828	297	9	conditions	condition	NOUN
hjic-828	297	10	that	that	PRON
hjic-828	297	11	facilitate	facilitate	VERB
hjic-828	297	12	strong	strong	ADJ
hjic-828	297	13	reachability	reachability	NOUN
hjic-828	297	14	in	in	ADP
hjic-828	297	15	acidic	acidic	ADJ
hjic-828	297	16	as	as	ADV
hjic-828	297	17	well	well	ADV
hjic-828	297	18	as	as	ADP
hjic-828	297	19	weakly	weakly	ADJ
hjic-828	297	20	basic	basic	ADJ
hjic-828	297	21	media	medium	NOUN
hjic-828	297	22	were	be	AUX
hjic-828	297	23	studied	study	VERB
hjic-828	297	24	.	.	PUNCT
hjic-828	298	1	for	for	ADP
hjic-828	298	2	our	our	PRON
hjic-828	298	3	analysis	analysis	NOUN
hjic-828	298	4	,	,	PUNCT
hjic-828	298	5	theorem	theorem	ADJ
hjic-828	298	6	2	2	NUM
hjic-828	298	7	was	be	AUX
hjic-828	298	8	used	use	VERB
hjic-828	298	9	.	.	PUNCT
hjic-828	299	1	it	it	PRON
hjic-828	299	2	provides	provide	VERB
hjic-828	299	3	sufficient	sufficient	ADJ
hjic-828	299	4	conditions	condition	NOUN
hjic-828	299	5	to	to	PART
hjic-828	299	6	facilitate	facilitate	VERB
hjic-828	299	7	strong	strong	ADJ
hjic-828	299	8	reachability	reachability	NOUN
hjic-828	299	9	,	,	PUNCT
hjic-828	299	10	however	however	ADV
hjic-828	299	11	,	,	PUNCT
hjic-828	299	12	these	these	DET
hjic-828	299	13	conditions	condition	NOUN
hjic-828	299	14	are	be	AUX
hjic-828	299	15	not	not	PART
hjic-828	299	16	always	always	ADV
hjic-828	299	17	necessary	necessary	ADJ
hjic-828	299	18	.	.	PUNCT
hjic-828	300	1	it	it	PRON
hjic-828	300	2	was	be	AUX
hjic-828	300	3	proven	prove	VERB
hjic-828	300	4	that	that	SCONJ
hjic-828	300	5	the	the	DET
hjic-828	300	6	conditions	condition	NOUN
hjic-828	300	7	in	in	ADP
hjic-828	300	8	theorem	theorem	ADJ
hjic-828	300	9	2	2	NUM
hjic-828	300	10	are	be	AUX
hjic-828	300	11	necessary	necessary	ADJ
hjic-828	300	12	to	to	PART
hjic-828	300	13	facilitate	facilitate	VERB
hjic-828	300	14	strong	strong	ADJ
hjic-828	300	15	reachability	reachability	NOUN
hjic-828	300	16	of	of	ADP
hjic-828	300	17	the	the	DET
hjic-828	300	18	oximation	oximation	NOUN
hjic-828	300	19	reaction	reaction	NOUN
hjic-828	300	20	in	in	ADP
hjic-828	300	21	the	the	DET
hjic-828	300	22	case	case	NOUN
hjic-828	300	23	of	of	ADP
hjic-828	300	24	acidic	acidic	ADJ
hjic-828	300	25	media	medium	NOUN
hjic-828	300	26	.	.	PUNCT
hjic-828	301	1	in	in	ADP
hjic-828	301	2	weakly	weakly	ADJ
hjic-828	301	3	basic	basic	ADJ
hjic-828	301	4	media	medium	NOUN
hjic-828	301	5	,	,	PUNCT
hjic-828	301	6	the	the	DET
hjic-828	301	7	system	system	NOUN
hjic-828	301	8	contained	contain	VERB
hjic-828	301	9	a	a	DET
hjic-828	301	10	reversible	reversible	ADJ
hjic-828	301	11	reaction	reaction	NOUN
hjic-828	301	12	step	step	NOUN
hjic-828	301	13	,	,	PUNCT
hjic-828	301	14	thus	thus	ADV
hjic-828	301	15	,	,	PUNCT
hjic-828	301	16	the	the	DET
hjic-828	301	17	conditions	condition	NOUN
hjic-828	301	18	of	of	ADP
hjic-828	301	19	theorem	theorem	NOUN
hjic-828	301	20	2	2	NUM
hjic-828	301	21	could	could	AUX
hjic-828	301	22	be	be	AUX
hjic-828	301	23	determined	determine	VERB
hjic-828	301	24	.	.	PUNCT
hjic-828	302	1	strong	strong	ADJ
hjic-828	302	2	reachability	reachability	NOUN
hjic-828	302	3	has	have	AUX
hjic-828	302	4	also	also	ADV
hjic-828	302	5	been	be	AUX
hjic-828	302	6	studied	study	VERB
hjic-828	302	7	for	for	ADP
hjic-828	302	8	reaction	reaction	NOUN
hjic-828	302	9	dynamics	dynamic	NOUN
hjic-828	302	10	of	of	ADP
hjic-828	302	11	a	a	DET
hjic-828	302	12	general	general	ADJ
hjic-828	302	13	type	type	NOUN
hjic-828	302	14	that	that	PRON
hjic-828	302	15	contain	contain	VERB
hjic-828	302	16	at	at	ADV
hjic-828	302	17	least	least	ADV
hjic-828	302	18	one	one	NUM
hjic-828	302	19	reversible	reversible	ADJ
hjic-828	302	20	reaction	reaction	NOUN
hjic-828	302	21	step	step	NOUN
hjic-828	302	22	where	where	SCONJ
hjic-828	302	23	the	the	DET
hjic-828	302	24	conditions	condition	NOUN
hjic-828	302	25	of	of	ADP
hjic-828	302	26	theorem	theorem	NOUN
hjic-828	302	27	2	2	NUM
hjic-828	302	28	could	could	AUX
hjic-828	302	29	also	also	ADV
hjic-828	302	30	be	be	AUX
hjic-828	302	31	further	far	ADV
hjic-828	302	32	refined	refine	VERB
hjic-828	302	33	.	.	PUNCT
hjic-828	303	1	for	for	ADP
hjic-828	303	2	reversible	reversible	ADJ
hjic-828	303	3	reaction	reaction	NOUN
hjic-828	303	4	steps	step	NOUN
hjic-828	303	5	it	it	PRON
hjic-828	303	6	has	have	AUX
hjic-828	303	7	been	be	AUX
hjic-828	303	8	shown	show	VERB
hjic-828	303	9	that	that	SCONJ
hjic-828	303	10	positive	positive	ADJ
hjic-828	303	11	reactant	reactant	NOUN
hjic-828	303	12	concentrations	concentration	NOUN
hjic-828	303	13	are	be	AUX
hjic-828	303	14	unnecessary	unnecessary	ADJ
hjic-828	303	15	to	to	PART
hjic-828	303	16	facilitate	facilitate	VERB
hjic-828	303	17	strong	strong	ADJ
hjic-828	303	18	reachability	reachability	NOUN
hjic-828	303	19	in	in	ADP
hjic-828	303	20	both	both	DET
hjic-828	303	21	directions	direction	NOUN
hjic-828	303	22	of	of	ADP
hjic-828	303	23	the	the	DET
hjic-828	303	24	reversible	reversible	ADJ
hjic-828	303	25	steps	step	NOUN
hjic-828	303	26	,	,	PUNCT
hjic-828	303	27	in	in	ADP
hjic-828	303	28	one	one	NUM
hjic-828	303	29	direction	direction	NOUN
hjic-828	303	30	is	be	AUX
hjic-828	303	31	sufficient	sufficient	ADJ
hjic-828	303	32	.	.	PUNCT
hjic-828	304	1	acknowledgement	acknowledgement	NOUN
hjic-828	304	2	the	the	DET
hjic-828	304	3	chemistry	chemistry	NOUN
hjic-828	304	4	-	-	PUNCT
hjic-828	304	5	related	relate	VERB
hjic-828	304	6	comments	comment	NOUN
hjic-828	304	7	from	from	ADP
hjic-828	304	8	zsombor	zsombor	PROPN
hjic-828	304	9	kristóf	kristóf	PROPN
hjic-828	304	10	nagy	nagy	PROPN
hjic-828	304	11	and	and	CCONJ
hjic-828	304	12	györgy	györgy	NOUN
hjic-828	304	13	marosi	marosi	VERB
hjic-828	304	14	at	at	ADP
hjic-828	304	15	the	the	DET
hjic-828	304	16	bme	bme	NOUN
hjic-828	304	17	department	department	NOUN
hjic-828	304	18	of	of	ADP
hjic-828	304	19	organic	organic	ADJ
hjic-828	304	20	chemistry	chemistry	NOUN
hjic-828	304	21	and	and	CCONJ
hjic-828	304	22	technology	technology	NOUN
hjic-828	304	23	are	be	AUX
hjic-828	304	24	gratefully	gratefully	ADV
hjic-828	304	25	acknowledged	acknowledge	VERB
hjic-828	304	26	.	.	PUNCT
hjic-828	305	1	references	reference	NOUN
hjic-828	305	2	[	[	X
hjic-828	305	3	1	1	NUM
hjic-828	305	4	]	]	X
hjic-828	305	5	farkas	farkas	PROPN
hjic-828	305	6	,	,	PUNCT
hjic-828	305	7	g.	g.	PROPN
hjic-828	305	8	:	:	PUNCT
hjic-828	305	9	local	local	ADJ
hjic-828	305	10	controllability	controllability	NOUN
hjic-828	305	11	of	of	ADP
hjic-828	305	12	reactions	reaction	NOUN
hjic-828	305	13	,	,	PUNCT
hjic-828	305	14	j.	j.	PROPN
hjic-828	305	15	math	math	PROPN
hjic-828	305	16	.	.	PUNCT
hjic-828	306	1	chem	chem	PROPN
hjic-828	306	2	.	.	PUNCT
hjic-828	306	3	,	,	PUNCT
hjic-828	306	4	1998	1998	NUM
hjic-828	306	5	24	24	NUM
hjic-828	306	6	,	,	PUNCT
hjic-828	306	7	1–14	1–14	PROPN
hjic-828	306	8	doi	doi	NOUN
hjic-828	306	9	:	:	PUNCT
hjic-828	306	10	10.1023	10.1023	NUM
hjic-828	306	11	/	/	SYM
hjic-828	306	12	a:1019150014783	a:1019150014783	NOUN
hjic-828	307	1	[	[	X
hjic-828	307	2	2	2	NUM
hjic-828	307	3	]	]	X
hjic-828	307	4	drexler	drexler	NOUN
hjic-828	307	5	,	,	PUNCT
hjic-828	307	6	d.a	d.a	PROPN
hjic-828	307	7	.	.	PROPN
hjic-828	307	8	,	,	PUNCT
hjic-828	307	9	tóth	tóth	PROPN
hjic-828	307	10	,	,	PUNCT
hjic-828	307	11	j.	j.	PROPN
hjic-828	307	12	:	:	PUNCT
hjic-828	307	13	global	global	ADJ
hjic-828	307	14	controllability	controllability	NOUN
hjic-828	307	15	of	of	ADP
hjic-828	307	16	chemical	chemical	NOUN
hjic-828	307	17	reactions	reaction	NOUN
hjic-828	307	18	,	,	PUNCT
hjic-828	307	19	j.	j.	PROPN
hjic-828	307	20	math	math	PROPN
hjic-828	307	21	.	.	PUNCT
hjic-828	308	1	chem	chem	PROPN
hjic-828	308	2	.	.	PUNCT
hjic-828	308	3	,	,	PUNCT
hjic-828	308	4	2016	2016	NUM
hjic-828	308	5	54	54	NUM
hjic-828	308	6	,	,	PUNCT
hjic-828	308	7	1327	1327	NUM
hjic-828	308	8	–	–	PUNCT
hjic-828	308	9	1350	1350	NUM
hjic-828	308	10	doi	doi	NOUN
hjic-828	308	11	:	:	PUNCT
hjic-828	308	12	10.1007	10.1007	NUM
hjic-828	308	13	/	/	SYM
hjic-828	308	14	s10910	s10910	NOUN
hjic-828	308	15	-	-	PUNCT
hjic-828	308	16	016	016	NUM
hjic-828	308	17	-	-	PUNCT
hjic-828	308	18	0626	0626	NUM
hjic-828	308	19	-	-	SYM
hjic-828	308	20	7	7	NUM
hjic-828	308	21	[	[	X
hjic-828	308	22	3	3	NUM
hjic-828	308	23	]	]	SYM
hjic-828	308	24	dochain	dochain	NOUN
hjic-828	308	25	,	,	PUNCT
hjic-828	308	26	d.	d.	PROPN
hjic-828	308	27	,	,	PUNCT
hjic-828	308	28	chen	chen	PROPN
hjic-828	308	29	,	,	PUNCT
hjic-828	308	30	l.	l.	PROPN
hjic-828	308	31	:	:	PUNCT
hjic-828	308	32	local	local	ADJ
hjic-828	308	33	observability	observability	NOUN
hjic-828	308	34	and	and	CCONJ
hjic-828	308	35	controllability	controllability	NOUN
hjic-828	308	36	of	of	ADP
hjic-828	308	37	stirred	stir	VERB
hjic-828	308	38	tank	tank	NOUN
hjic-828	308	39	reactors	reactor	NOUN
hjic-828	308	40	,	,	PUNCT
hjic-828	308	41	j.	j.	PROPN
hjic-828	308	42	math	math	PROPN
hjic-828	308	43	.	.	PUNCT
hjic-828	309	1	chem	chem	PROPN
hjic-828	309	2	.	.	PUNCT
hjic-828	309	3	,	,	PUNCT
hjic-828	309	4	1992	1992	NUM
hjic-828	309	5	2	2	NUM
hjic-828	309	6	,	,	PUNCT
hjic-828	309	7	139–144	139–144	NUM
hjic-828	309	8	doi	doi	NOUN
hjic-828	309	9	:	:	PUNCT
hjic-828	309	10	10.1016/0959	10.1016/0959	NUM
hjic-828	309	11	-	-	SYM
hjic-828	309	12	1524(92)85003	1524(92)85003	NUM
hjic-828	309	13	-	-	PUNCT
hjic-828	309	14	f	f	NOUN
hjic-828	310	1	[	[	X
hjic-828	310	2	4	4	NUM
hjic-828	310	3	]	]	X
hjic-828	310	4	drexler	drexler	NOUN
hjic-828	310	5	,	,	PUNCT
hjic-828	310	6	d.a	d.a	PROPN
hjic-828	310	7	.	.	PROPN
hjic-828	310	8	,	,	PUNCT
hjic-828	310	9	virágh	virágh	NOUN
hjic-828	310	10	,	,	PUNCT
hjic-828	310	11	e.	e.	PROPN
hjic-828	310	12	,	,	PUNCT
hjic-828	310	13	tóth	tóth	PROPN
hjic-828	310	14	,	,	PUNCT
hjic-828	310	15	j.	j.	PROPN
hjic-828	310	16	:	:	PUNCT
hjic-828	310	17	controllability	controllability	NOUN
hjic-828	310	18	and	and	CCONJ
hjic-828	310	19	reachability	reachability	NOUN
hjic-828	310	20	of	of	ADP
hjic-828	310	21	reactions	reaction	NOUN
hjic-828	310	22	with	with	ADP
hjic-828	310	23	temperature	temperature	NOUN
hjic-828	310	24	and	and	CCONJ
hjic-828	310	25	inflow	inflow	NOUN
hjic-828	310	26	control	control	NOUN
hjic-828	310	27	,	,	PUNCT
hjic-828	310	28	fuel	fuel	NOUN
hjic-828	310	29	,	,	PUNCT
hjic-828	310	30	2017	2017	NUM
hjic-828	310	31	211	211	NUM
hjic-828	310	32	,	,	PUNCT
hjic-828	310	33	906–911	906–911	NUM
hjic-828	310	34	doi	doi	NOUN
hjic-828	310	35	:	:	PUNCT
hjic-828	310	36	10.1016	10.1016	NUM
hjic-828	310	37	/	/	SYM
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hjic-828	311	2	5	5	NUM
hjic-828	311	3	]	]	PUNCT
hjic-828	311	4	csontos	csontos	PROPN
hjic-828	311	5	,	,	PUNCT
hjic-828	311	6	i.	i.	PROPN
hjic-828	311	7	,	,	PUNCT
hjic-828	311	8	pataki	pataki	PROPN
hjic-828	311	9	,	,	PUNCT
hjic-828	311	10	h.	h.	PROPN
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hjic-828	311	16	bata	bata	PROPN
hjic-828	311	17	,	,	PUNCT
hjic-828	311	18	h.	h.	PROPN
hjic-828	311	19	,	,	PUNCT
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hjic-828	311	21	,	,	PUNCT
hjic-828	311	22	b.	b.	PROPN
hjic-828	311	23	,	,	PUNCT
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hjic-828	311	29	keglevich	keglevich	PROPN
hjic-828	311	30	,	,	PUNCT
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hjic-828	311	32	,	,	PUNCT
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hjic-828	311	34	,	,	PUNCT
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hjic-828	311	42	reaction	reaction	NOUN
hjic-828	311	43	by	by	ADP
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hjic-828	311	55	19	19	NUM
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hjic-828	311	57	189–195	189–195	NUM
hjic-828	311	58	doi	doi	NOUN
hjic-828	311	59	:	:	PUNCT
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hjic-828	312	2	6	6	NUM
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hjic-828	312	5	,	,	PUNCT
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hjic-828	312	7	:	:	PUNCT
hjic-828	312	8	nonlinear	nonlinear	ADJ
hjic-828	312	9	control	control	NOUN
hjic-828	312	10	system	system	NOUN
hjic-828	312	11	(	(	PUNCT
hjic-828	312	12	springer	springer	NOUN
hjic-828	312	13	verlag	verlag	PROPN
hjic-828	312	14	,	,	PUNCT
hjic-828	312	15	london	london	PROPN
hjic-828	312	16	)	)	PUNCT
hjic-828	312	17	,	,	PUNCT
hjic-828	312	18	1995	1995	NUM
hjic-828	312	19	doi	doi	NOUN
hjic-828	312	20	:	:	PUNCT
hjic-828	312	21	10.1007/978	10.1007/978	NUM
hjic-828	312	22	-	-	SYM
hjic-828	312	23	1	1	NUM
hjic-828	312	24	-	-	PUNCT
hjic-828	312	25	84628	84628	NUM
hjic-828	312	26	-	-	PUNCT
hjic-828	312	27	615	615	NUM
hjic-828	312	28	-	-	SYM
hjic-828	312	29	5	5	NUM
hjic-828	313	1	[	[	X
hjic-828	313	2	7	7	NUM
hjic-828	313	3	]	]	X
hjic-828	313	4	érdi	érdi	PROPN
hjic-828	313	5	,	,	PUNCT
hjic-828	313	6	p.	p.	PROPN
hjic-828	313	7	,	,	PUNCT
hjic-828	313	8	tóth	tóth	PROPN
hjic-828	313	9	,	,	PUNCT
hjic-828	313	10	j.	j.	PROPN
hjic-828	313	11	:	:	PUNCT
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hjic-828	313	14	of	of	ADP
hjic-828	313	15	chemical	chemical	NOUN
hjic-828	313	16	reactions	reaction	NOUN
hjic-828	313	17	.	.	PUNCT
hjic-828	314	1	theory	theory	NOUN
hjic-828	314	2	and	and	CCONJ
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hjic-828	314	8	models	model	NOUN
hjic-828	314	9	(	(	PUNCT
hjic-828	314	10	princeton	princeton	PROPN
hjic-828	314	11	university	university	PROPN
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hjic-828	314	13	,	,	PUNCT
hjic-828	314	14	princeton	princeton	PROPN
hjic-828	314	15	,	,	PUNCT
hjic-828	314	16	new	new	PROPN
hjic-828	314	17	jersey	jersey	PROPN
hjic-828	314	18	)	)	PUNCT
hjic-828	314	19	,	,	PUNCT
hjic-828	314	20	1989	1989	NUM
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hjic-828	314	22	:	:	PUNCT
hjic-828	314	23	9780719022081	9780719022081	NUM
hjic-828	315	1	[	[	X
hjic-828	315	2	8	8	NUM
hjic-828	315	3	]	]	X
hjic-828	315	4	turányi	turányi	PROPN
hjic-828	315	5	,	,	PUNCT
hjic-828	315	6	t.	t.	PROPN
hjic-828	315	7	,	,	PUNCT
hjic-828	315	8	tomlin	tomlin	PROPN
hjic-828	315	9	,	,	PUNCT
hjic-828	315	10	a.s	a.s	PROPN
hjic-828	315	11	.	.	PROPN
hjic-828	315	12	:	:	PUNCT
hjic-828	316	1	analysis	analysis	NOUN
hjic-828	316	2	of	of	ADP
hjic-828	316	3	kinetic	kinetic	ADJ
hjic-828	316	4	reaction	reaction	NOUN
hjic-828	316	5	mechanisms	mechanism	NOUN
hjic-828	316	6	(	(	PUNCT
hjic-828	316	7	springer	springer	NOUN
hjic-828	316	8	berlin	berlin	PROPN
hjic-828	316	9	heidelberg	heidelberg	PROPN
hjic-828	316	10	)	)	PUNCT
hjic-828	316	11	,	,	PUNCT
hjic-828	316	12	2014	2014	NUM
hjic-828	316	13	isbn	isbn	NOUN
hjic-828	316	14	:	:	PUNCT
hjic-828	316	15	9783662445624	9783662445624	NUM
hjic-828	316	16	[	[	X
hjic-828	316	17	9	9	NUM
hjic-828	316	18	]	]	PUNCT
hjic-828	316	19	atkins	atkin	NOUN
hjic-828	316	20	,	,	PUNCT
hjic-828	316	21	p.w	p.w	PROPN
hjic-828	316	22	.	.	PROPN
hjic-828	316	23	:	:	PUNCT
hjic-828	316	24	physical	physical	ADJ
hjic-828	316	25	chemistry	chemistry	NOUN
hjic-828	316	26	(	(	PUNCT
hjic-828	316	27	oxford	oxford	PROPN
hjic-828	316	28	university	university	PROPN
hjic-828	316	29	press	press	PROPN
hjic-828	316	30	)	)	PUNCT
hjic-828	316	31	,	,	PUNCT
hjic-828	316	32	2010	2010	NUM
hjic-828	316	33	isbn	isbn	NOUN
hjic-828	316	34	:	:	PUNCT
hjic-828	316	35	9780199543373	9780199543373	NUM
hjic-828	316	36	46(2	46(2	NOUN
hjic-828	316	37	)	)	PUNCT
hjic-828	316	38	pp	pp	ADP
hjic-828	316	39	.	.	PUNCT
hjic-828	317	1	19	19	NUM
hjic-828	317	2	-	-	SYM
hjic-828	317	3	25	25	NUM
hjic-828	317	4	(	(	PUNCT
hjic-828	317	5	2018	2018	NUM
hjic-828	317	6	)	)	PUNCT
hjic-828	317	7	https://doi.org/10.1023/a:1019150014783	https://doi.org/10.1023/a:1019150014783	NOUN
hjic-828	317	8	https://doi.org/10.1023/a:1019150014783	https://doi.org/10.1023/a:1019150014783	NOUN
hjic-828	317	9	https://doi.org/10.1007/s10910-016-0626-7	https://doi.org/10.1007/s10910-016-0626-7	VERB
hjic-828	317	10	https://doi.org/10.1016/0959-1524(92)85003-f	https://doi.org/10.1016/0959-1524(92)85003-f	PROPN
hjic-828	317	11	https://doi.org/10.1016/j.fuel.2017.09.095	https://doi.org/10.1016/j.fuel.2017.09.095	NOUN
hjic-828	317	12	https://doi.org/10.1016/j.fuel.2017.09.095	https://doi.org/10.1016/j.fuel.2017.09.095	NUM
hjic-828	317	13	https://doi.org/10.1021/op500015d	https://doi.org/10.1021/op500015d	NOUN
hjic-828	317	14	https://doi.org/10.1007/978-1-84628-615-5	https://doi.org/10.1007/978-1-84628-615-5	PROPN
hjic-828	317	15	introduction	introduction	NOUN
hjic-828	317	16	study	study	NOUN
hjic-828	317	17	of	of	ADP
hjic-828	317	18	strong	strong	ADJ
hjic-828	317	19	reachability	reachability	NOUN
hjic-828	317	20	strong	strong	ADJ
hjic-828	317	21	reachability	reachability	NOUN
hjic-828	317	22	of	of	ADP
hjic-828	317	23	kinetic	kinetic	ADJ
hjic-828	317	24	equations	equation	NOUN
hjic-828	317	25	controllability	controllability	NOUN
hjic-828	317	26	study	study	NOUN
hjic-828	317	27	of	of	ADP
hjic-828	317	28	the	the	DET
hjic-828	317	29	oximation	oximation	NOUN
hjic-828	317	30	reaction	reaction	NOUN
hjic-828	317	31	oximation	oximation	NOUN
hjic-828	317	32	reaction	reaction	NOUN
hjic-828	317	33	in	in	ADP
hjic-828	317	34	acidic	acidic	ADJ
hjic-828	317	35	medium	medium	NOUN
hjic-828	317	36	oximation	oximation	NOUN
hjic-828	317	37	reaction	reaction	NOUN
hjic-828	317	38	in	in	ADP
hjic-828	317	39	weakly	weakly	ADJ
hjic-828	317	40	basic	basic	ADJ
hjic-828	317	41	medium	medium	ADJ
hjic-828	317	42	reversible	reversible	ADJ
hjic-828	317	43	reaction	reaction	NOUN
hjic-828	317	44	step	step	NOUN
hjic-828	317	45	conclusion	conclusion	NOUN