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1 files changed, 16 insertions, 16 deletions
diff --git a/Master/texmf-dist/doc/latex/classicthesis/Chapters/Chapter03.tex b/Master/texmf-dist/doc/latex/classicthesis/Chapters/Chapter03.tex
index d7fdeeec58e..e9515a08000 100644
--- a/Master/texmf-dist/doc/latex/classicthesis/Chapters/Chapter03.tex
+++ b/Master/texmf-dist/doc/latex/classicthesis/Chapters/Chapter03.tex
@@ -65,37 +65,37 @@ description of ionisation fluctuations:
\begin{enumerate}
\item A large number of collisions involving the loss of all or most
- of the incident particle energy during the traversal of an absorber.
+ of the incident particle energy during the traversal of an absorber.
- As the total energy transfer is composed of a multitude of small
- energy losses, we can apply the central limit theorem and describe
- the fluctuations by a Gaussian distribution. This case is
- applicable to non-relativistic particles and is described by the
- inequality $\kappa > 10 $ (\ie, when the mean energy loss in the
- absorber is greater than the maximum energy transfer in a single
- collision).
+ As the total energy transfer is composed of a multitude of small
+ energy losses, we can apply the central limit theorem and describe
+ the fluctuations by a Gaussian distribution. This case is
+ applicable to non-relativistic particles and is described by the
+ inequality $\kappa > 10 $ (\ie, when the mean energy loss in the
+ absorber is greater than the maximum energy transfer in a single
+ collision).
\item Particles traversing thin counters and incident electrons under
- any conditions.
+ any conditions.
- The relevant inequalities and distributions are $ 0.01 < \kappa < 10
- $,
- Vavilov distribution, and $\kappa < 0.01 $, Landau distribution.
+ The relevant inequalities and distributions are $ 0.01 < \kappa < 10
+ $,
+ Vavilov distribution, and $\kappa < 0.01 $, Landau distribution.
\end{enumerate}
\section{Various Mathematical Examples}
If $n > 2$, the identity
\[
- t[u_1,\dots,u_n] = t\bigl[t[u_1,\dots,u_{n_1}], t[u_2,\dots,u_n]
- \bigr]
+ t[u_1,\dots,u_n] = t\bigl[t[u_1,\dots,u_{n_1}], t[u_2,\dots,u_n]
+ \bigr]
\]
defines $t[u_1,\dots,u_n]$ recursively, and it can be shown that the
alternative definition
\[
- t[u_1,\dots,u_n] = t\bigl[t[u_1,u_2],\dots,t[u_{n-1},u_n]\bigr]
+ t[u_1,\dots,u_n] = t\bigl[t[u_1,u_2],\dots,t[u_{n-1},u_n]\bigr]
\]
-gives the same result.
+gives the same result.
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