\fi % end if pdflatex is used
-% Folgendes Problem lösen:
-% Besteht die Kapitelnummer aus zu vielen Ziffern, wird die
-% Kapitelüberschrift im Inhaltsverzeichnis direkt an oder über
-% die Kapitelnummer geschrieben.
-% Als Lösung wird mehr Platz zwischen Nummer und
-% Überschrift eingefügt.
+% solves the following problem:
+% If the dection number consits of too many numerals the section heading
+% will be printed in the TOC without a space between it and the section number.
+% As solution more space between the number and the heading is inserted:
\renewcommand{\l@subsection}{\@dottedtocline{2}{1.5em}{2.8em}}
\renewcommand{\l@subsubsection}{\@dottedtocline{3}{4.3em}{3.6em}}
% increase link area for cross-references and autoname them,
\AtBeginDocument{\renewcommand{\ref}[1]{\mbox{\autoref{#1}}}}
+\@ifundefined{extrasenglish}{\usepackage[english]{babel}}{}
\addto\extrasenglish{%
\renewcommand*{\equationautorefname}[1]{}
\renewcommand{\sectionautorefname}{sec.\negthinspace}
\bullet 1 0 6 -1
\bullet 2 2 35 -1
\bullet 3 2 7 -1
-\tracking_changes true
+\tracking_changes false
\output_changes false
\html_math_output 0
\html_css_as_file 0
\html_be_strict false
-\author -1853239151 "scott"
\end_header
\begin_body
\end_inset
denotes the usage of the corresponding arrow key on the keyboard.
-
-\change_inserted -1853239151 1332304617
-
+ The
\family sans
Tab
\family default
- can often be used to replace
+ key can often be used instead of
\begin_inset Formula $\to$
\end_inset
\family sans
Shift+Tab
\family default
- for
+ instead of
\begin_inset Formula $\leftarrow$
\end_inset
\end_inset
.
-\change_unchanged
-
\end_layout
\begin_layout Subsection*
\end_inset
e^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-
\backslash
frac
\begin_inset ERT
Note that decorated matrices ignore the vertical alignment.
\end_layout
-\begin_layout Standard
-\begin_inset Note Greyedout
-status open
-
-\begin_layout Plain Layout
-
-\series bold
-Note:
-\series default
- LaTeX limits the number of matrix columns with decorations to 10.
- If you need more than 10
-\begin_inset space ~
-\end_inset
-
-columns, you have to add this line to the document preamble:
-\end_layout
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-setcounter{MaxMatrixCols}{number}
-\end_layout
-
-\begin_layout Plain Layout
-where
-\emph on
-number
-\emph default
- is the number of columns between 11 and 99.
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
\begin_layout Standard
\begin_inset VSpace bigskip
\end_inset
be inserted.
\end_layout
-\begin_layout Subsection
-Accents for Operators
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Accents ! for operators
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-With the commands
-\series bold
-
-\backslash
-overset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! O !
-\backslash
-overset
-\end_layout
-
-\end_inset
-
- and
-\series bold
-
-\backslash
-underset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! U !
-\backslash
-underset
-\end_layout
-
-\end_inset
-
- characters can be placed above or below an operator, respectively, to accent
- it.
- With the command
-\series bold
-
-\backslash
-sideset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! S !
-\backslash
-sideset
-\end_layout
-
-\end_inset
-
- characters can be set before and behind an operator.
- The command scheme is:
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-sideset{character
-\series default
-
-\series bold
-before}{character
-\series default
-
-\series bold
-behind}
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-sideset
-\series default
- must always be before the operator that should be accented.
- You can accent with several characters and even with other operators and
- symbols.
- To place with
-\series bold
-
-\backslash
-sideset
-\series default
- for example only characters behind an operator, write nothing between the
- first braces but don't omit the braces.
-\end_layout
-
-\begin_layout Standard
-For example the command
-\series bold
-
-\backslash
-sideset{
-\begin_inset Formula $\to$
-\end_inset
-
-
-\backslash
-{
-\series default
-'
-\series bold
-
-\begin_inset Formula $\to$
-\end_inset
-
-
-\backslash
-sum_k=1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-
-\series default
-^
-\series bold
-n
-\series default
- produces:
-\begin_inset Formula
-\[
-\sideset{}{'}\sum_{k=1}^{n}
-\]
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-The command
-\series bold
-
-\backslash
-overset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-
-\backslash
-maltese
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-
-\series default
-
-\begin_inset Formula $\uparrow$
-\end_inset
-
-
-\series bold
-a
-\series default
- produces:
-\begin_inset Formula
-\[
-\overset{a}{\maltese}
-\]
-
-\end_inset
-
-As seen in the last example, with
-\series bold
-
-\backslash
-overset
-\series default
- and
-\series bold
-
-\backslash
-underset
-\series default
- symbols and characters can also be accented; with
-\series bold
-
-\backslash
-sideset
-\series default
- this is not possible.
-\end_layout
-
\begin_layout Subsection
Accents for several Characters
\begin_inset Index idx
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
\end_layout
\begin_layout Section
.
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
\begin_layout Standard
\align center
\begin_inset Tabular
Commands ! P !
\backslash
prod
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
\end_layout
\begin_layout Subsection
.
\end_layout
+\begin_layout Subsection
+Decoration for Operators
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Operators ! Decoration
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
\begin_layout Standard
-\begin_inset Newpage newpage
+With the commands
+\series bold
+
+\backslash
+overset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! O !
+\backslash
+overset
+\end_layout
+
+\end_inset
+
+ and
+\series bold
+
+\backslash
+underset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! U !
+\backslash
+underset
+\end_layout
+
+\end_inset
+
+ characters can be placed above or below an operator, respectively.
+ With the command
+\series bold
+
+\backslash
+sideset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S !
+\backslash
+sideset
+\end_layout
+
+\end_inset
+
+ characters can be set before and behind a big operator.
+ The command scheme is:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+sideset{character
+\series default
+
+\series bold
+before}{character
+\series default
+
+\series bold
+behind}
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+sideset
+\series default
+ must always be before the operator.
+ You can decorate with several characters and even with other operators
+ and symbols.
+ To place for example only characters behind a big operator, write nothing
+ between the first braces but don't omit the braces.
+\end_layout
+
+\begin_layout Standard
+For example the command
+\series bold
+
+\backslash
+sideset{
+\begin_inset Formula $\to$
+\end_inset
+
+
+\backslash
+{
+\series default
+'
+\series bold
+
+\begin_inset Formula $\to$
+\end_inset
+
+
+\backslash
+sum_k=1
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce
+\end_layout
+
+\end_inset
+
+
+\series default
+^
+\series bold
+n
+\series default
+ produces:
+\begin_inset Formula
+\[
+\sideset{}{'}\sum_{k=1}^{n}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+Note:
+\backslash
+sideset
+\series default
+ can only be used to decorate big operators, binary operators are not allowed.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+overset
+\series default
+ and
+\series bold
+
+\backslash
+underset
+\series default
+ can also be used to decorate symbols and characters.
+ For example, the command
+\series bold
+
+\backslash
+overset
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce
+\end_layout
+
+\end_inset
+
+
+\backslash
+maltese
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce
+\end_layout
+
+\end_inset
+
+
+\series default
+
+\begin_inset Formula $\uparrow$
+\end_inset
+
+
+\series bold
+a
+\series default
+ produces:
+\begin_inset Formula
+\[
+\overset{a}{\maltese}
+\]
+
\end_inset
\end_inset
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
\end_layout
\begin_layout Section
fi}
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Section
Formula Styles
\begin_inset CommandInset label
\end_inset
.
-
-\change_inserted -1853239151 1334713000
- The align environment is recommended.
-\change_unchanged
-
+ The align environment is recommended because it provides in any case a
+ typographically correct output.
\end_layout
\begin_layout Standard
\end_inset
-\change_inserted -1853239151 1334712095
- Note that the label is only applied to the second line.
-\change_unchanged
-
\end_layout
\begin_layout Itemize
\end_layout
\begin_layout Standard
-This Align environment is created by presssing
+This Align environment is created by pressing
\begin_inset Info
type "shortcut"
arg "newline-insert newline"
\end_inset
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
\end_layout
\begin_layout Section
.
The cursor must hereby be inside a displayed formula.
+ Alternatively you can right-click on the formula and choose
+\family sans
+Equation Label
+\family default
+.
A dialog pops up displaying the prefix
\series bold
eq:
Insert\SpecialChar \menuseparator
Label
\family default
- is used again
-\change_inserted -1853239151 1334715366
- or you can right-click on the formula and click on
-\begin_inset Quotes eld
-\end_inset
-
-equation label
-\begin_inset Quotes erd
-\end_inset
-
-
-\change_unchanged
+ is used again or you right-click on a formula and then on
+\family sans
+Equation Label
+\family default
.
\end_layout
\begin_layout Plain Layout
\series bold
+\color none
Note:
\series default
- Only maximal 26 formulas can be numbered with Latin letters in one document.
+ Only maximal 26
+\begin_inset space ~
+\end_inset
+
+formulas can be numbered with Latin letters in one document.
\end_layout
\end_inset
.
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
\begin_layout Section
Chemical Symbols and Equations
\begin_inset CommandInset label
\begin_layout Plain Layout
\series bold
+\color none
Note:
\series default
Inserting a formula to a
\backslash
ce
\series default
- box will lead to LaTeX errors.
+ box will lead to LaTeX errors due to a LyX bug.
+\color inherit
+
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+\begin_inset CommandInset href
+LatexCommand href
+name "LyX-bug #8566"
+target "http://www.lyx.org/trac/ticket/8566"
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\color none
In this case TeX code has to be used like for
\series bold
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+\color none
+Note:
+\series default
+ It is not possible in LyX to use the character ^ to get an up-arrow as
+ described in the
+\series bold
+mhchem
+\series default
+ manual.
+ One instead uses a negative thin space followed by the command
+\series bold
+
+\backslash
+uparrow
+\series default
+:
+\begin_inset Formula $\ce{Fe + 2H+ -> Fe^{2+} + H2\negthinspace\uparrow}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
\end_layout
\begin_layout Standard
.
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
\begin_layout Section
User-defined Commands
\begin_inset Index idx
\end_inset
g.
-\begin_inset space ~
+\begin_inset space \space{}
\end_inset
bind the
command-alternatives break-paragraph;math-extern maxima
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Section
-Tips
+Miscellaneous
\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Tips
+Miscellaneous
\end_layout
\end_inset
Commands ! G !
\backslash
genfrac
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
genfrac{}{}{#1}{}{#2}{#3}}
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Standard
A test:
\begin_inset Formula
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
\end_layout
\begin_layout Subsection
\end_inset
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
\end_layout
\begin_layout Subsection
\end_layout
\begin_layout Bibliography
-\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "TLC2"
\end_layout
\begin_layout Bibliography
-\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Mathmode"
\end_layout
\begin_layout Bibliography
-\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "AMS"
\end_layout
\begin_layout Bibliography
-\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Symbols"
\end_layout
\begin_layout Bibliography
-\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "cancel"
\end_layout
\begin_layout Bibliography
-\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "hyperref"
\end_layout
\begin_layout Bibliography
-\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "mhchem"
\end_layout
\begin_layout Bibliography
-\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Mathclap"
\end_layout
\begin_layout Bibliography
-\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Duden"
\end_layout
\begin_layout Bibliography
-\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Checklist"