-#LyX 1.6.4svn created this file. For more info see http://www.lyx.org/
+#LyX 1.6.6svn created this file. For more info see http://www.lyx.org/
\lyxformat 345
\begin_document
\begin_header
% needed in sec. 19.4
\usepackage{remreset}
+% for the Fourier transformation symbol
+\usepackage{mathrsfs}
+
% center multirows (e.g. in sec. 13.3)
\renewcommand{\multirowsetup}{\centering}
\setboolean{eurosym}{true}}
{\setboolean{eurosym}{false}}
-% needed in sec. 22.4
% check for package braket
+% used for physical vectors
\newboolean{braket}
\IfFileExists{braket.sty}
{\usepackage{braket}
\setboolean{braket}{true}}
{\setboolean{braket}{false}}
-% needed in sec. 22.10
% check for package upgreek
\newboolean{upgreek}
\IfFileExists{upgreek.sty}
status open
\begin_layout Plain Layout
-To export this document to PDF, PS, or DVI the LaTeX-packages
+To export this document to PDF, PS or DVI the LaTeX-packages
\series bold
eurosym,
\series default
\series bold
-multirow,
+mhchem, multirow
\series default
and
\series bold
was
\series default
must be installed.
- If they are not installed you can export the document anyway but the sections
- where the packages are required won't appear in the output.
+ If
+\series bold
+eurosym,
+\series default
+
+\series bold
+multirow
+\series default
+ or
+\series bold
+was
+\series default
+ are not installed you can export the document anyway but the sections where
+ the packages are required won't appear in the output.
+ If
+\series bold
+mhchem
+\series default
+ is not installed, this file cannot be exported.
\end_layout
\begin_layout Plain Layout
\backslash
displaystyle
+\series default
+
\begin_inset Index
status collapsed
\end_inset
-
-\series default
to a formula.
Then a new blue box appears in which the desired formula part is inserted.
\end_layout
\begin_inset Quotes erd
\end_inset
- that appear in the output with sub- and superscript letters: TeX, LaTeX,
+ that appear in the output with sub- and superscript letters: TeX, LaTeX
and LyX
\end_layout
\end_layout
\begin_layout Standard
-To edit matrices, case differentiations, and multiline formulas subsequently,
+To edit matrices, case differentiations and multiline formulas subsequently,
the menus
\family sans
Edit\SpecialChar \menuseparator
\backslash
text
+\series default
+
\begin_inset Index
status collapsed
\end_inset
-
-\series default
.
The text appears black in LyX and can therefore be distinguished from the
other formula parts that appear blue.
\end_inset
can be used.
- Here an example:
+ Here is an example:
\begin_inset VSpace -3mm
\end_inset
Matrix
\family default
.
- You will be asked for the number of matrix columns and rows, and the alignment.
+ You will be asked for the number of matrix columns and rows and the alignment.
The vertical alignment is hereby only of importance for matrices in inline
formulas:
\end_layout
C & F & I & L\end{array}$
\end_inset
-, and the third bottom
+ and the third bottom
\begin_inset Formula $\begin{array}[b]{cccc}
A & D & G & J\\
B & E & H & K\\
\emph on
c
\emph default
- centered, and
+ centered and
\emph on
r
\emph default
\end_inset
matrix where the first column is left aligned, the second and third are
- centered, and the last one is right aligned, one enters for the horizontal
+ centered and the last one is right aligned, one enters for the horizontal
alignment
\series bold
lccr
\backslash
bigg
\series default
-, and
+ and
\series bold
\backslash
\end_inset
-, and
+ and
\series bold
\backslash
\series bold
white
\series default
-, and
+ and
\series bold
yellow
\end_layout
\series bold
yellow
\series default
-, and
+ and
\series bold
black
\series default
\series bold
green
\series default
-, and
+ and
\series bold
blue
\series default
\end_inset
- Then the description follows as normal text, and finally
+ Then the description follows as normal text and finally
\series bold
}}
\backslash
\end_layout
\begin_layout Subsubsection*
-Advices for Integrals
+Advice for Integrals
\end_layout
\begin_layout Standard
.
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Subsection
Binary Operators
\begin_inset CommandInset label
\backslash
scriptsize
\series default
-, and
+ and
\series bold
\backslash
\end_layout
\begin_layout Standard
-Within a formula the size can only be changed for symbols or letters in
- mathematical text.
- To do this, the size command is inserted in mathematical text.
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Within a formula the size can be changed using the following size commands:
+\end_layout
+
+\begin_layout Standard
+\noindent
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="5" columns="2">
+<features>
+<column alignment="center" valignment="top" width="0">
+<column alignment="center" valignment="top" width="0">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Command
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Result
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+
+\series bold
+
+\backslash
+raisebox
+\series default
+ is only used as spacer.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+displaystyle
+\begin_inset Index
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! D !
+\backslash
+displaystyle
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{6.5mm}{}{\displaystyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-5.5mm}{}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+textstyle
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{4.5mm}{}{\textstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-4mm}{}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+scriptstyle
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{4.5mm}{}{\scriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-3.5mm}{}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+scriptscriptstyle
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{4.5mm}{}{\scriptscriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-3.5mm}{}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+After entering these commands, a blue box appears in which the formula parts
+ are inserted.
+\end_layout
+
+\begin_layout Standard
+There is a further method to change the font size, that though only works
+ for symbols or letters in mathematical text.
+ To use it, one of the above text size commands is inserted in mathematical
+ text.
All following characters until the end of the mathematical text or until
another size command will have the selected size.
Two examples:
in the default size.
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
\begin_layout Section
Greek Letters
\begin_inset Index
A list with all symbols of most of the LaTeX-packages can be found in
\begin_inset CommandInset citation
LatexCommand cite
-key "Symbole"
+key "Symbols"
\end_inset
\series bold
'
\series default
- , and
+ and
\series bold
^
\series default
\backslash
v
\series default
-, and accents inserted directly with the keyboard are also available in
- mathematical text.
+ and accents that are inserted directly with the keyboard are also available
+ in mathematical text.
For the other accents there are special math commands to be used in formulas,
see
\begin_inset CommandInset ref
\series default
\begin_inset Index
-status open
+status collapsed
\begin_layout Plain Layout
Commands ! A !
\begin_layout Standard
\begin_inset Formula \begin{equation}
-A=\textrm{small roman}\label{eq:rom}\end{equation}
+A=\textrm{small roman}\end{equation}
\end_inset
\begin_inset Formula \begin{equation}
-C=\textrm{small Latin}\label{eq:lat}\end{equation}
+C=\textrm{small Latin}\end{equation}
\end_inset
\begin_inset Formula \begin{equation}
-E=\textrm{Arabic}\label{eq:arab}\end{equation}
+E=\textrm{Arabic}\end{equation}
\end_inset
A description about this can be found in the file
\begin_inset CommandInset href
LatexCommand href
-target "Formula-numbering.lyx"
+name "Formula-numbering.lyx"
+target "run:Formula-numbering.lyx"
\end_inset
\end_inset
- is
+ is:
\begin_inset Newline newline
\end_inset
Na2SO4
\end_layout
+\begin_layout Standard
+To create multiline chemical equations first a multiline formula is created
+ as described in
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sec:Multiline-Formulas"
+
+\end_inset
+
+.
+ Afterwards the command
+\series bold
+
+\backslash
+ce
+\series default
+ is used in every small blue box of the formula.
+
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:TEOS-reaction-1"
+
+\end_inset
+
+ and
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:TEOS-reaction-2"
+
+\end_inset
+
+ are an example of a multi-stage chemical reaction where every equation
+ has its own number.
+\begin_inset Formula \begin{eqnarray}
+\ce{TEOS + 4O} & \ce{->} & \ce{Si(OH)4 + 4C2H4O}\label{eq:TEOS-reaction-1}\\
+\ce{Si(OH)4} & \ce{->} & \ce{SiO2 + 2H2O}\label{eq:TEOS-reaction-2}\end{eqnarray}
+
+\end_inset
+
+
+\end_layout
+
\begin_layout Standard
Besides
\series bold
.
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
\begin_layout Section
Diagrams
\end_layout
\series bold
@>>>
\series default
- a right arrow, and
+ a right arrow and
\series bold
@=
\series default
\series bold
@VVV
\series default
- an down arrow, and
+ an down arrow and
\series bold
@|
\series default
\begin_inset Formula $p$
\end_inset
-, and
+ and
\begin_inset Formula $q$
\end_inset
\begin_inset Formula $\ln(x)$
\end_inset
-, and
+ and
\begin_inset Formula $B$
\end_inset
\end_layout
+\begin_layout Standard
+LyX offers in the menu
+\family sans
+Tools\SpecialChar \menuseparator
+Preferences\SpecialChar \menuseparator
+Editing\SpecialChar \menuseparator
+Control
+\family default
+ different styles to edit macros.
+ To find the style that suits you the most, choose a style and set the cursor
+ in a macro formula to see the difference.
+\end_layout
+
\begin_layout Standard
A math macro is transformed internally to a
\series bold
\begin_layout Section
Tips
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-texorpdfstring{
-\end_layout
-
-\end_inset
-
-
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-Other useful math tips can be found in
-\begin_inset CommandInset citation
-LatexCommand cite
-key "Voss"
-
-\end_inset
-
-.
-\end_layout
-
-\end_inset
-
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}{}
-\end_layout
-
-\end_inset
-
-
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-
-\backslash
-texorpdfstring is used to avoid that the footnote appears in the PDF-bookmark.
-\end_layout
-
-\begin_layout Plain Layout
-More about
-\backslash
-texorpdfstring is in section
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Formulas-in-Section"
-
-\end_inset
-
-.
-\end_layout
-
-\end_inset
-
-
\begin_inset Index
status collapsed
\end_inset
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Ions|see
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-{
-\end_layout
-
-\end_inset
-
-Chemical characters
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-
\end_layout
\begin_layout Subsection
\end_layout
\begin_layout Standard
+
+\lang german
\begin_inset ERT
status collapsed
\end_inset
Das Spektrum wird fouriertransformiert.
- the Fouriertransformation wird verwendet, um the überlagerten Signale (Netzwerk
+ Die Fouriertransformation wird verwendet, um die überlagerten Signale (Netzwerk
, Lösungsmittel) zu trennen.
- Nachdem wir the Phasenverschiebung bestimmen konnten, interessiert uns
+ Nachdem wir die Phasenverschiebung bestimmen konnten, interessiert uns
nun das Aussehen des Ausgangssignals.
- Im Experiment haben wir es with sehr vielen Teilchen zu tun, so that man
+ Im Experiment haben wir es mit sehr vielen Teilchen zu tun, so dass man
über alle Phasen integrieren muss.
Sei nun
\begin_inset Formula $S$
\end_inset
- unser normiertes Ausgangssignal and
+ unser normiertes Ausgangssignal und
\begin_inset Formula $P$
\end_inset
- the Phasenverteilungsfunktion, so ergibt sich the Beziehung
+ die Phasenverteilungsfunktion, so ergibt sich die Beziehung
\begin_inset ERT
status collapsed
\begin_inset Formula $S_{0}$
\end_inset
- das Signal ohne Gradient ist and the Normierungsbedingung
+ das Signal ohne Gradient ist und die Normierungsbedingung
\begin_inset Formula $\int_{-\infty}^{\infty}P(\phi,t)\,\mathrm{d}\phi=1$
\end_inset
gilt.
- Nun dürfen wir aber nicht the Relaxationsprozess außer Acht lassen.
- Direkt nach the
+ Nun dürfen wir aber nicht den Relaxationsprozess außer Acht lassen.
+ Direkt nach dem
\begin_inset Formula $\nicefrac{\pi}{2}$
\end_inset
\begin_inset space \thinspace{}
\end_inset
--rf-Puls beginnt sich the Magnetisierung zu entfokussieren, wodurch sich
+-rf-Puls beginnt sich die Magnetisierung zu entfokussieren, wodurch sich
das Signal zusätzlich abschwächt.
- Diese Abschwächung verläuft exponentiell in Abhängigkeit the so genannten
+ Diese Abschwächung verläuft exponentiell in Abhängigkeit der so genannten
\begin_inset Formula $T_{2}$
\end_inset
\end_layout
\begin_layout Standard
+
+\lang german
\begin_inset ERT
status collapsed
\end_inset
-
+
\end_layout
\begin_layout Subsection
\end_inset
consists of five columns whereas in the first two columns contain the equation,
- the third the matrix, and the last one an empty TeX-brace.
+ the third the matrix and the last one an empty TeX-brace.
\begin_inset Formula \begin{flalign}
\hspace{30pt}F_{A} & =\rho·V·g & \footnotesize\begin{array}{ll}
\rho & \textrm{density}\\
\series bold
upgreek
\series default
- is installed.
+ is installed:
\end_layout
\end_inset
\end_inset
that lists some of the ISO rules.
+ More rules are listed in
+\begin_inset CommandInset citation
+LatexCommand cite
+key "Checklist"
+
+\end_inset
+
+.
\end_layout
\end_inset
\end_inset
-: 30
+, no matter if they appear in italic text: 30
\begin_inset space \thinspace{}
\end_inset
\end_inset
is used.
- It is available via the menu
+ It is available either via the command
+\series bold
+
+\backslash
+times
+\series default
+ or via the menu
\family sans
Insert\SpecialChar \menuseparator
Special Character\SpecialChar \menuseparator
Symbols
\family default
.
- With some keyboard definitions it can also be inserted directly.
\end_layout
\begin_layout Itemize
\end_layout
\begin_layout Itemize
-The differentiation/integration operator 'd', the Euler's number 'e', and
+The differentiation/integration operator 'd', the Euler's number 'e' and
the imaginary unit 'i' should be set upright, to avoid mixing them up with
other variables.
\end_layout
+\begin_layout Itemize
+The character that denotes a
+\noun on
+Fourier
+\noun default
+ transformation is inserted either by the command
+\series bold
+
+\backslash
+mathscr
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce
+\end_layout
+
+\end_inset
+
+
+\backslash
+{F
+\series default
+
+\begin_inset Index
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! M !
+\backslash
+mathscr
+\end_layout
+
+\end_inset
+
+ or via the menu
+\family sans
+Insert\SpecialChar \menuseparator
+Special Character\SpecialChar \menuseparator
+Symbols\SpecialChar \menuseparator
+Letterlike
+\begin_inset space ~
+\end_inset
+
+Symbols
+\family default
+:
+\begin_inset Formula $\mathscr{F}$
+\end_inset
+
+
+\begin_inset Newline newline
+\end_inset
+
+To be able to use the command
+\series bold
+
+\backslash
+mathscr
+\series default
+, the LaTeX package
+\series bold
+mathrsfs
+\series default
+
+\begin_inset Index
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! mathrsfs
+\end_layout
+
+\end_inset
+
+ needs to be loaded with the LaTeX-preamble line
+\series bold
+
+\backslash
+usepackage{mathrsfs}
+\series default
+.
+\end_layout
+
\begin_layout Standard
\begin_inset Newpage newpage
\end_inset
of LaTeX's math abilities
\end_layout
-\begin_layout Bibliography
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
-key "Voss"
-
-\end_inset
-
-LaTeX tips and tricks-
-\begin_inset CommandInset href
-LatexCommand href
-name "page"
-target "http://tug.org/TeXnik/"
-
-\end_inset
-
-
-\end_layout
-
\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
-key "Symbole"
+key "Symbols"
\end_inset
Auflage, Duden 2001
\end_layout
-\begin_layout Subsubsection*
+\begin_layout Bibliography
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+key "Checklist"
+
+\end_inset
+
+
+\begin_inset CommandInset href
+LatexCommand href
+name "Check list"
+target "http://physics.nist.gov/Document/checklist.pdf"
+
+\end_inset
+
+ for reviewing manuscripts
+\end_layout
+
+\begin_layout Standard
\begin_inset CommandInset index_print
LatexCommand printindex
projects / lyx.git / blobdiff