+++ /dev/null
-#LyX 2.0.0svn created this file. For more info see http://www.lyx.org/
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-\begin_document
-\begin_header
-\textclass ectaart
-\begin_preamble
-\RequirePackage[colorlinks,citecolor=blue,urlcolor=blue]{hyperref}
-\RequirePackage{hypernat}
-
-%% Local settings
-\startlocaldefs
-% These require a theorem-like module
-\numberwithin{equation}{section}
-\theoremstyle{plain}
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-\end_preamble
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-\begin_modules
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-
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-
-\begin_layout Thanks Text
-Footnote to the title with the `thankstext' command.
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-
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-\end_layout
-
-\begin_layout Abstract
-This is a sample input file.
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-\end_layout
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-\begin_layout Standard
-One or more blank lines denote the end of a paragraph.
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-\begin_layout Standard
-Since any number of consecutive spaces are treated like a single one, the
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- When you use LaTeX, making your input file as easy to read as possible
- will be a great help as you write your document and when you change it.
- This sample file shows how you can add comments to your own input file.
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-\begin_inset Quotes eld
-\end_inset
-
-this
-\begin_inset Quotes erd
-\end_inset
-
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-
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-`this'
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-
-\end_inset
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-\end_inset
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-
-\begin_inset Quotes erd
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-\begin_layout Standard
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-
-\begin_inset Note Note
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-\end_inset
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-
-\begin_inset Note Note
-status open
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-\begin_layout Plain Layout
-The end-of-sentence punctuation.
-\end_layout
-
-\end_inset
-
-You should check the spaces after periods when reading your output to make
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- Generating an ellipsis \SpecialChar \ldots{}
-
-\begin_inset space \space{}
-\end_inset
-
-
-\begin_inset Note Note
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-\family typewriter
-
-\backslash
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-\family default
- made from
-\family typewriter
-
-\backslash
-
-\family default
- + letters.
-\end_layout
-
-\end_inset
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-with the right spacing around the periods requires a special command.
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-TeX
-\begin_inset space \space{}
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-
-interprets some common characters as commands, so you must type special
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- These characters include the following:
-\begin_inset Note Note
-status open
-
-\begin_layout Plain Layout
-
-\backslash
-$
-\backslash
-&
-\backslash
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-\begin_layout Plain Layout
-
-\end_layout
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-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
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-
-\begin_inset ERT
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-
-
-\backslash
-/
-\end_layout
-
-\end_inset
-
-
-\begin_inset Note Note
-status open
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-\begin_layout Plain Layout
- The
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-
-\backslash
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-
-\end_inset
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-\begin_layout Emphasize
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-\emph default
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-\end_layout
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-\begin_layout Standard
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-\end_inset
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- This may be at a space, as between the
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-Mr.
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-\emph default
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-\begin_inset ERT
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-
-\backslash
-/
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-\end_inset
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-TeX
-\begin_inset space \space{}
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-
-is good at typesetting mathematical formulas like
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-
-\end_inset
-
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-
-\end_inset
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-.
- Remember that a letter like
-\begin_inset Formula $x$
-\end_inset
-
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-\begin_layout Section
-Notes
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-\begin_inset Foot
-status collapsed
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-\end_inset
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-\begin_layout Quote
-This is a short a quotation.
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-\begin_layout Standard
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-\end_layout
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-\begin_layout Quotation
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-\begin_layout Quotation
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-\end_layout
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-\end_layout
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-
-
-\begin_inset Note Note
-status open
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-
-\backslash
-
-\backslash
-
-\family default
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-\end_layout
-
-\end_inset
-
- Whose features some poets will curse.
-
-\end_layout
-
-\begin_layout Verse
-For instead of making
-\begin_inset Newline newline
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-
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-\emph on
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-\emph default
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-
-\backslash
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-
-\end_inset
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- line breaking,
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-\begin_layout Standard
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-\begin_inset Formula \[
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-\end_inset
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-\end_layout
-
-\begin_layout Standard
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-\begin_layout Theorem
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-\begin_layout Proof
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-,
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- it appeared that high glucose concentrations in the production phase are
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-
-\end_inset
-
- that high glucose concentrations inhibit the synthesis of the enzymes of
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-, one finds with the above equation
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-\begin_layout Plain Layout
-\begin_inset Formula $Y_{x/s}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="right" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-[g DM/g]
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="left" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-0.45
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="left" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-0.47
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="left" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $Y_{p/s}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="right" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-[g/g]
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="left" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-0.9
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="left" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-1.2
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="left" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $k_{h}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="right" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-[h
-\begin_inset Formula $^{-1}$
-\end_inset
-
-]
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="left" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-0.04
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="left" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-0.01
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="left" valignment="top" bottomline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $m_{s}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="right" valignment="top" bottomline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-[g/g DM h]
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="left" valignment="top" bottomline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-0.014
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="left" valignment="top" bottomline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-0.029
-\end_layout
-
-\end_inset
-</cell>
-</row>
-</lyxtabular>
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-Bajpai & Reuß
-\begin_inset space \space{}
-\end_inset
-
-decided to disregard the differences between time constants for the two
- regulation mechanisms (glucose repression or inhibition) because of the
- relatively very long fermentation times, and therefore proposed a Haldane
- expression for
-\begin_inset Formula $\pi$
-\end_inset
-
-.
-\end_layout
-
-\begin_layout Standard
-It is interesting that simulations with the
-\begin_inset CommandInset citation
-LatexCommand cite
-key "r4"
-
-\end_inset
-
- model for the initial conditions given by these authors indicate that,
- when the remaining substrate is fed at a constant rate, a considerable
- and unrealistic amount of penicillin is produced when the glucose concentration
- is still very high
-\begin_inset CommandInset citation
-LatexCommand cite
-key "r2,r3,r4"
-
-\end_inset
-
- Simulations with the Bajpai & Reuß
-\begin_inset space \space{}
-\end_inset
-
-model correctly predict almost no penicillin production in similar conditions.
-\end_layout
-
-\begin_layout Standard
-\begin_inset Note Note
-status open
-
-\begin_layout Plain Layout
-figuur 1
-\end_layout
-
-\end_inset
-
-
-\begin_inset Float figure
-wide false
-sideways false
-status open
-
-\begin_layout Plain Layout
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-fbox{
-\end_layout
-
-\end_inset
-
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-vbox
-\end_layout
-
-\end_inset
-
- to6pc
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-{
-\end_layout
-
-\end_inset
-
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-hsize
-\end_layout
-
-\end_inset
-
-4cm
-\begin_inset space \hfill{}
-\end_inset
-
-
-\begin_inset VSpace vfill
-\end_inset
-
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
-\end_layout
-
-\end_inset
-
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
-\end_layout
-
-\end_inset
-
-
-\begin_inset Caption
-
-\begin_layout Plain Layout
-\begin_inset Argument
-status collapsed
-
-\begin_layout Plain Layout
-
-\end_layout
-
-\end_inset
-
-Pathway of the penicillin G biosynthesis.
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Plain Layout
-\begin_inset CommandInset label
-LatexCommand label
-name "penG"
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-Sample of cross-reference to figure.
- Figure
-\begin_inset space ~
-\end_inset
-
-
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "penG"
-
-\end_inset
-
- shows that is not easy to get something on paper.
-\end_layout
-
-\begin_layout Section
-Headings
-\end_layout
-
-\begin_layout Subsection
-Subsection
-\end_layout
-
-\begin_layout Standard
-Carr-Goldstein based their model on balancing methods and biochemical know\SpecialChar \-
-ledge.
- The original model (1980) contained an equation for the oxygen dynamics
- which has been omitted in a second paper (1981).
- This simplified model shall be discussed here.
-\end_layout
-
-\begin_layout Subsubsection
-Subsubsection
-\end_layout
-
-\begin_layout Standard
-Carr-Goldstein based their model on balancing methods and biochemical know\SpecialChar \-
-ledge.
- The original model (1980) contained an equation for the oxygen dynamics
- which has been omitted in a second paper (1981).
- This simplified model shall be discussed here.
-\end_layout
-
-\begin_layout Section
-Equations and the like
-\end_layout
-
-\begin_layout Standard
-Two equations:
-\begin_inset Formula \begin{equation}
-C_{s}=K_{M}\frac{\mu/\mu_{x}}{1-\mu/\mu_{x}}\label{ccs}\end{equation}
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-and
-\end_layout
-
-\begin_layout Standard
-\begin_inset Formula \begin{equation}
-G=\frac{P_{{\rm opt}}-P_{{\rm ref}}}{P_{{\rm ref}}}\mbox{\ }100\mbox{\ }(\%)\end{equation}
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-Two equation arrays:
-\end_layout
-
-\begin_layout Standard
-\begin_inset Formula \begin{eqnarray}
-\frac{dS}{dt} & = & -\sigma X+s_{F}F\\
-\frac{dX}{dt} & = & \mu X\\
-\frac{dP}{dt} & = & \pi X-k_{h}P\\
-\frac{dV}{dt} & = & F
-\end{eqnarray}
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-and,
-\end_layout
-
-\begin_layout Standard
-\begin_inset Formula \begin{eqnarray}
-\mu_{{\rm substr}} & = & \mu_{x}\frac{C_{s}}{K_{x}C_{x}+C_{s}}\\
-\mu & = & \mu_{{\rm substr}}-Y_{x/s}(1-H(C_{s}))(m_{s}+\pi/Y_{p/s})\\
-\sigma & = & \mu_{{\rm substr}}/Y_{x/s}+H(C_{s})(m_{s}+\pi/Y_{p/s})
-\end{eqnarray}
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Section
-\start_of_appendix
-Appendix section
-\end_layout
-
-\begin_layout Standard
-\begin_inset CommandInset label
-LatexCommand label
-name "app"
-
-\end_inset
-
- We consider a sequence of queueing systems indexed by
-\begin_inset Formula $n$
-\end_inset
-
-.
- It is assumed that each system is composed of
-\begin_inset Formula $J$
-\end_inset
-
- stations, indexed by
-\begin_inset Formula $1$
-\end_inset
-
- through
-\begin_inset Formula $J$
-\end_inset
-
-, and
-\begin_inset Formula $K$
-\end_inset
-
- customer classes, indexed by
-\begin_inset Formula $1$
-\end_inset
-
- through
-\begin_inset Formula $K$
-\end_inset
-
-.
- Each customer class has a fixed route through the network of stations.
- Customers in class
-\begin_inset Formula $k$
-\end_inset
-
-,
-\begin_inset Formula $k=1,\ldots,K$
-\end_inset
-
-, arrive to the system according to a renewal process, independently of
- the arrivals of the other customer classes.
- These customers move through the network, never visiting a station more
- than once, until they eventually exit the system.
-\end_layout
-
-\begin_layout Subsection
-Appendix subsection
-\end_layout
-
-\begin_layout Standard
-However, different customer classes may visit stations in different orders;
- the system is not necessarily
-\begin_inset Quotes eld
-\end_inset
-
-feed-forward.
-\begin_inset Quotes erd
-\end_inset
-
- We define the
-\emph on
-path of class
-\begin_inset Formula $k$
-\end_inset
-
- customers
-\emph default
- in as the sequence of servers they encounter along their way through the
- network and denote it by
-\begin_inset Formula \begin{equation}
-\mathcal{P}=\bigl(j_{k,1},j_{k,2},\dots,j_{k,m(k)}\bigr).\label{path}\end{equation}
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-Sample of cross-reference to the formula
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "path"
-
-\end_inset
-
- in Appendix
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "app"
-
-\end_inset
-
-.
-\end_layout
-
-\begin_layout Section*
-Acknowledgements
-\end_layout
-
-\begin_layout Standard
-And this is an acknowledgements section with a heading that was produced
- by the
-\begin_inset Formula $\backslash$
-\end_inset
-
-section* command.
- Thank you all for helping me writing this LaTeX
-\begin_inset space \space{}
-\end_inset
-
-sample file.
-\end_layout
-
-\begin_layout Bibliography
-\labelwidthstring References
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
-label "\\protect\\citeauthoryear{Billingsley, P.}{1999}"
-key "r1"
-
-\end_inset
-
-
-\shape smallcaps
-Billingsley, P.
-
-\shape default
- (1999).
-
-\shape italic
-Convergence of Probability Measures
-\shape default
-, 2nd ed.
- Wiley, New York.
-\end_layout
-
-\begin_layout Bibliography
-\labelwidthstring References
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
-label "\\protect\\citeauthoryear{Bourbaki, N.}{1966}"
-key "r2"
-
-\end_inset
-
-
-\shape smallcaps
-Bourbaki, N.
-
-\shape default
- (1966).
-
-\shape italic
-General Topology
-\shape default
-
-\series bold
-1
-\series default
-.
- Addison--Wesley, Reading, MA.
-\end_layout
-
-\begin_layout Bibliography
-\labelwidthstring References
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
-label "\\protect\\citeauthoryear{Ethier, S. N. and Kurtz, T. G.}{1985}"
-key "r3"
-
-\end_inset
-
-
-\shape smallcaps
-Ethier, S.
- N.
-
-\shape default
- and
-\shape smallcaps
-Kurtz, T.
- G.
-
-\shape default
- (1985).
-
-\shape italic
-Markov Processes: Characterization and Convergence
-\shape default
-.
- Wiley, New York.
-\end_layout
-
-\begin_layout Bibliography
-\labelwidthstring References
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
-label "\\protect\\citeauthoryear{Prokhorov, Yu.}{1956}"
-key "r4"
-
-\end_inset
-
-
-\shape smallcaps
-Prokhorov, Yu.
-
-\shape default
- (1956).
- Convergence of random processes and limit theorems in probability theory.
-
-\shape italic
-Theory Probab.
- Appl.
-
-\shape default
-
-\series bold
-1
-\series default
- 157--214.
-\end_layout
-
-\begin_layout Bibliography
-\labelwidthstring References
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
-label "\\protect\\citeauthoryear{Prokhorov, Yu.}{1957}"
-key "r5"
-
-\end_inset
-
-
-\begin_inset Flex By Same Author (bib)
-status open
-
-\begin_layout Plain Layout
-Prokhorov, Yu.
-\end_layout
-
-\end_inset
-
- (1957).
- Convergence of random processes and limit theorems in probability theory
- II.
-
-\shape italic
-Theory Probab.
- Appl.
-
-\shape default
-
-\series bold
-2
-\series default
- 157--214.
-\end_layout
-
-\end_body
-\end_document
projects / lyx.git / commitdiff