-#LyX 1.6.0svn created this file. For more info see http://www.lyx.org/
-\lyxformat 338
+#LyX 1.6.0rc2 created this file. For more info see http://www.lyx.org/
+\lyxformat 340
\begin_document
\begin_header
\textclass scrartcl
% provides caption formatting
\setkomafont{captionlabel}{\bfseries}
-% used in Kap. 22.4
-\usepackage{braket}
-
% used in Kap. 22.6
\usepackage[samesize]{cancel}
\usepackage{multirow}
\usepackage{multicol}
-% needed for diagrams
-\usepackage{amscd}
-
% needed in sec. 19.4
\usepackage{remreset}
\tracking_changes false
\output_changes false
\author ""
-\author ""
\end_header
\begin_body
\end_layout
\begin_layout Subsection*
-Used units
+Available units
\end_layout
\begin_layout Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
-name "tab:Used-units"
+name "tab:Available-units"
\end_inset
-Used units
+Available units
\end_layout
\end_inset
\end_layout
\begin_layout Subsection
-Binomial coefficients
+Binomial Coefficients
\begin_inset Index
status collapsed
\begin_layout Plain Layout
-Binomial coefficient s
+Binomial coefficients
\end_layout
\end_inset
\end_layout
\begin_layout Subsection
-Case differentiations
+Case Differentiations
\begin_inset Index
status collapsed
It is possible to place up to 6 lines above or below characters.
\end_layout
+\begin_layout Standard
+\begin_inset VSpace bigskip
+\end_inset
+
+Custom lines can be created using the command
+\series bold
+
+\backslash
+rule
+\series default
+
+\begin_inset Index
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! R !
+\backslash
+rule
+\end_layout
+
+\end_inset
+
+ which has the following scheme:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+rule[vertical offset]{length}{thickness}
+\end_layout
+
+\begin_layout Standard
+The optional vertical offset shifts the line upwards (or downwards, when
+ the value is negative).
+ The units listed in
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "tab:Available-units"
+
+\end_inset
+
+ can be used for the values.
+ Here are two example lines created with the commands
+\begin_inset Newline newline
+\end_inset
+
+
+\series bold
+
+\backslash
+rule[-2ex]{3cm}{2pt}
+\series default
+ and
+\series bold
+
+\backslash
+rule{2cm}{1pt}
+\series default
+:
+\end_layout
+
+\begin_layout Standard
+This is a sentence
+\begin_inset Formula $\rule[-2ex]{3cm}{2pt}\rule{2cm}{1pt}$
+\end_inset
+
+ with two lines.
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+rule
+\series default
+ can also be used for text when it is inserted in TeX-mode.
+\end_layout
+
\begin_layout Subsection
Ellipses
\begin_inset CommandInset label
\end_layout
\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
Besides the
\series bold
or the commands listed in the following subsections.
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
\begin_layout Subsection
Horizontal Arrows
\begin_inset Index
For the length all units listed in
\begin_inset CommandInset ref
LatexCommand ref
-reference "tab:Used-units"
+reference "tab:Available-units"
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula \raisebox{6mm}{}\fbox{$\int A=B$}\raisebox{-4mm}{}
-
+\begin_inset Formula $\raisebox{6mm}{}\fbox{$\int A=B$}\raisebox{-4mm}{}$
\end_inset
.
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
\begin_layout Subsection
Binary Operators
\begin_inset CommandInset label
More symbols are listed in
\begin_inset CommandInset ref
LatexCommand ref
-reference "sub:Miscellaneous-Special-Characters"
+reference "sub:Miscellaneous-special-Characters"
\end_inset
status collapsed
\begin_layout Plain Layout
+
+\backslash
+@
\begin_inset ERT
status collapsed
status collapsed
\begin_layout Plain Layout
+
+\backslash
+@
\begin_inset ERT
status collapsed
\begin_layout Plain Layout
-\backslash
-@
\backslash
textrm{
\backslash
\end_layout
\begin_layout Subsection
-Miscellaneous Special Characters
+Miscellaneous special Characters
\begin_inset CommandInset label
LatexCommand label
-name "sub:Miscellaneous-Special-Characters"
+name "sub:Miscellaneous-special-Characters"
\end_inset
that is described in
\begin_inset CommandInset ref
LatexCommand ref
-reference "sec:User-defined-commands"
+reference "sec:User-defined-Commands"
\end_inset
\end_layout
\begin_layout Section
-User-defined commands
+User-defined Commands
\begin_inset CommandInset label
LatexCommand label
-name "sec:User-defined-commands"
+name "sec:User-defined-Commands"
\end_inset
\end_layout
\begin_layout Subsection
-amscd diagrams
+Amscd Diagrams
\begin_inset Index
status collapsed
\end_layout
\begin_layout Standard
-To create this type of diagrams, the LaTeX-package
-\series bold
-amscd
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-amscd
-\series default
- is part of every LaTeX standard installation.
-\end_layout
-
-\end_inset
-
-
-\series default
-
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Packages ! amscd
-\end_layout
-
-\end_inset
-
- is needed.
- It is loaded in the LaTeX-preamble with the line
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-usepackage{amscd}
-\end_layout
-
-\begin_layout Standard
-Diagrams visualize relations and look like this:
+Diagrams of this type visualize relations by vertical and horizontal lines
+ or arrows:
\begin_inset Formula \[
\begin{CD}A@>>>B@>>>C\\
@AAA@.@VVV\\
\end_layout
\begin_layout Subsection
-xymatrix diagrams
+Xymatrix Diagrams
\begin_inset Index
status collapsed
\end_layout
\begin_layout Standard
-xymatrix offers many possibilities to create commutative diagrams and decoration
-s that are explained in detail in this manual:
+In contrary to amscd diagrams, xymatrices supports diagonal and curved arrows,
+ and much more.
+ All possibilities to create commutative diagrams and decorations are explained
+ in detail in this manual:
\begin_inset CommandInset href
LatexCommand href
target "http://wiki.lyx.org/LyX/XY-pic#xy-manual"
\end_layout
\begin_layout Subsection
-Comma as Decimal Separator
+Comma as decimal Separator
\begin_inset Index
status collapsed
\begin_layout Section
\start_of_appendix
-Typographic Advises
+Typographic Advice
\begin_inset Index
status collapsed
\begin_layout Plain Layout
-Typographic Advises
+Typographic advice
\end_layout
\end_inset