-#LyX 1.6.2svn created this file. For more info see http://www.lyx.org/
+#LyX 1.6.3svn created this file. For more info see http://www.lyx.org/
\lyxformat 345
\begin_document
\begin_header
\family sans
-Version 1.6.0
+Version 2.0.x
\end_layout
\begin_layout Standard
This mode is invoked with the the shortcut
\begin_inset Info
type "shortcut"
-arg "math-mode"
+arg "font-default"
\end_inset
or by the insertion of the command
\series bold
\backslash
-cfrac{A
-\begin_inset Formula $\to$
-\end_inset
+cfrac
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
\backslash
-{B+
+spce
+\end_layout
+
+\end_inset
+
+A
+\begin_inset Formula $\downarrow$
+\end_inset
+
+B+
\backslash
-cfrac{C+
+cfrac
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
\backslash
-cfrac{E
-\begin_inset Formula $\to$
+spce
+\end_layout
+
\end_inset
+C+
+\backslash
+cfrac
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
\backslash
-{F
-\begin_inset Formula $\to\to$
+spce
+\end_layout
+
\end_inset
+E
+\begin_inset Formula $\downarrow$
+\end_inset
-\backslash
-{D
+F
+\begin_inset Formula $\downarrow$
+\end_inset
+
+D
\end_layout
\begin_layout Standard
\series default
sets the fraction always in the size of a displayed formula, also when
it is part of another fraction.
+\end_layout
+
+\begin_layout Standard
+It is possible to specify the alignment of the numerator.
+ The command
+\series bold
+
+\backslash
+cfracleft
+\series default
+ is used to left align it, the command
+\series bold
+
+\backslash
+cfracright
+\series default
+ to right-align it.
\series bold
\backslash
cfrac
\series default
- has the following command scheme:
+ centers the numerator.
+ These fractions demonstrate the different alignments:
\end_layout
\begin_layout Standard
+\begin_inset Formula $\cfrac[l]{A}{B+C}$
+\end_inset
+
+,
+\begin_inset Formula $\cfrac{A}{B+C}$
+\end_inset
+
+,
+\begin_inset Formula $\cfrac[r]{A}{B+C}$
+\end_inset
-\series bold
-\backslash
-cfrac[numerator position]{numerator}{denominator}
\end_layout
\begin_layout Standard
-The numerator position can be
-\emph on
-l
-\emph default
- ,
-\emph on
-c
-\emph default
-, or
-\emph on
-r
-\emph default
- .
- l or r aligns the numerator to the left or right, resp.
-\begin_inset space ~
-\end_inset
+\begin_inset Note Greyedout
+status open
-with the fraction stroke.
- When
-\emph on
-c
-\emph default
- or no position is given, the numerator appears centered.
- These fractions demonstrate the different alignments:
-\begin_inset Newline newline
-\end_inset
+\begin_layout Plain Layout
+\series bold
+Note:
+\series default
+
+\series bold
+\backslash
+cfracleft
+\series default
+ and
\series bold
-\begin_inset Formula $\cfrac[l]{A}{B+C}$
-\end_inset
+\backslash
+cfracright
+\series default
+ are no real LaTeX commands but represent the command
+\series bold
-,
-\begin_inset Formula $\cfrac{A}{B+C}$
-\end_inset
+\backslash
+cfrac[alignment]{numerator}{denominator}
+\series default
+ .
+ Therefore you cannot use them in TeX code.
+\end_layout
-,
-\begin_inset Formula $\cfrac[r]{A}{B+C}$
\end_inset
\end_inset
-\begin_inset Newline newline
-\end_inset
+\end_layout
-Note that
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+Note:
+\series default
+
\series bold
\backslash
\backslash
unitfrac[number]{numerator}{denominator}
\series default
-, therefore you cannot use it in TeX code.
+ .
+ Therefore you cannot use it in TeX code.
+\end_layout
+
+\end_inset
+
+
\end_layout
\begin_layout Standard
\begin_inset Tabular
-<lyxtabular version="3" rows="12" columns="2">
+<lyxtabular version="3" rows="11" columns="2">
<features>
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\begin_layout Plain Layout
-\backslash
-sum
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! S !
-\backslash
-sum
-\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 $\sum$
-\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
int
\begin_inset Index
\begin_inset Tabular
-<lyxtabular version="3" rows="10" columns="2">
+<lyxtabular version="3" rows="11" columns="2">
<features>
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\begin_layout Plain Layout
+\backslash
+sum
+\begin_inset Index
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S !
+\backslash
+sum
+\end_layout
+
+\end_inset
+
+
+\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 $\sum$
+\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
prod
\begin_inset Index
\series bold
\backslash
-intop,
+intop
\series default
-
+,
\series bold
\backslash
ointop
\series default
- etc.
+ etc..
These operators are different from
\series bold
\backslash
int
\series default
- and
-\series bold
-
-\backslash
-oint
-\series default
-, resp.
-\begin_inset space ~
+ etc.
+\begin_inset space \space{}
\end_inset
in the style the operator limits are displayed, see
\begin_layout Standard
Limits of inline formulas are set right beside the operator.
Limits in displayed formulas are set above or below the operator, except
- of integral limits.
+ for integral limits.
\end_layout
\begin_layout Standard
\backslash
intop
\series default
- and
+,
\series bold
\backslash
ointop
\series default
-, the limits are by default set beside the operator.
+ etc., the limits are by default set beside the operator.
But for multiple integrals the limits are often set below the operator.
In the following example the limits type was therefore set to
\series bold
status collapsed
\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-hspace
-\series default
- and
+The space and
\series bold
\backslash
status collapsed
\begin_layout Plain Layout
+The space of 0
+\begin_inset space \thinspace{}
+\end_inset
-\series bold
-
-\backslash
-hspace{0mm}
-\series default
- is used for separation, because otherwise the output will be ¡ and ¿ respective
-ly.
+mm is used for separation, because otherwise the output will be ¡ and ¿
+ respectively.
\end_layout
\end_inset
When one side of the equation is much shorther than the line width, this
one is chosen for the left side and the right side is typeset over two
lines:
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
-\end_inset
-
-
\begin_inset Formula \begin{eqnarray}
H & = & W_{SB}+W_{mv}+W_{D}-\frac{\hbar^{2}}{2m_{0}}\Delta-\frac{\hbar^{2}}{2m_{1}}\Delta_{1}-\frac{\hbar^{2}}{2m_{2}}\Delta_{2}-\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{1}|}\nonumber \\
& & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\label{eq:shortlong}\end{eqnarray}
\end_inset
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-smallskip
-\end_layout
-
-\end_inset
-
-
-\begin_inset Newline newline
-\end_inset
-
The minus sign at the beginning of the second line does normally not appear
as operator because it is the first character of the line.
Thus it would not be surrounded by space and could not be distinguished
from the fraction bar.
- To avoid this, space was inserted behind the minus sign with the command
-
+ To avoid this, 3
+\begin_inset space \thinspace{}
+\end_inset
+
+pt space was inserted behind the minus sign with the command
\series bold
\backslash
-hspace{3pt}
+hspace
\series default
-
+.
\begin_inset Foot
status collapsed
\end_inset
-.
+
\end_layout
\begin_layout Itemize
is used.
It is inserted to the first column of the first line and effects that all
further insertions overwrite the following columns:
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
-\end_inset
-
-
\begin_inset Formula \begin{eqnarray}
\lefteqn{4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}}\nonumber \\
& & -\hspace{3pt}B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\nonumber \\
\end_inset
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-smallskip
-\end_layout
-
-\end_inset
-
-
-\begin_inset Newline newline
-\end_inset
-
After the insertion of
\series bold
, the cursor is in a purple box that is a bit shifted to the left from the
blue one.
In this the formula is inserted.
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
-\end_inset
-
-
\begin_inset Newline newline
\end_inset
The content of the further lines is inserted to the second or another formula
column.
The greater the column number where it was inserted, the larger the indentation.
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
\end_inset
\end_layout
\begin_layout Standard
-Except of inline formulas, all formulas can be numbered with two different
+Except for inline formulas, all formulas can be numbered with two different
styles, see
\begin_inset CommandInset ref
LatexCommand ref
Longrightarrow
\series default
, the LaTeX-preamble line is:
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
\end_inset
-\series bold
-
\begin_inset Newline newline
\end_inset
+\series bold
+
\backslash
newcommand{
\backslash
\series default
, the argument (that should be underlined) must be taken into account.
For this the preamble line is:
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
\end_inset
-\series bold
-
\begin_inset Newline newline
\end_inset
+\series bold
+
\backslash
newcommand{
\backslash
underline{#1}}
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
\end_inset
-\series bold
-
\begin_inset Newline newline
\end_inset
-
-\series default
The character
\series bold
#
fb
\series default
:
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
\end_inset
-\series bold
-
\begin_inset Newline newline
\end_inset
+\series bold
+
\backslash
newcommand{
\backslash
framebox#1#2{$#3$}}
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
\end_inset
-\series bold
-
\begin_inset Newline newline
\end_inset
-
-\series default
The two Dollar signs creates the extra formula needed for
\series bold
\series default
where the color for the box needn't to be specified, the argument for the
color is defined optional:
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
\end_inset
-\series bold
-
\begin_inset Newline newline
\end_inset
+\series bold
+
\backslash
newcommand{
\backslash
fcolorbox{#2}{#1}{$#3$}}
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
\end_inset
\begin_inset Graphics
filename clipart/macrobox.png
- lyxscale 90
- scale 90
\end_inset
\begin_inset Graphics
filename clipart/macrouse.png
- lyxscale 75
- scale 75
\end_inset
\end_inset
Definition\SpecialChar \menuseparator
-Remove Argument
+Remove Last Argument
\end_layout
\end_inset
\end_inset
Definition\SpecialChar \menuseparator
-Append Last Argument
+Append Argument
\end_layout
\end_inset
status collapsed
\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-hspace
-\series default
- and
+The space and
\series bold
\backslash