#LyX 2.0.0svn created this file. For more info see http://www.lyx.org/
-\lyxformat 362
+\lyxformat 369
\begin_document
\begin_header
\textclass scrbook
\paperorientation portrait
\branch Question
\selected 1
+\filename_suffix 0
\color #00ff00
\end_branch
\branch Answer
\selected 0
+\filename_suffix 0
\color #aa55ff
\end_branch
\secnumdepth 3
\tocdepth 3
\paragraph_separation indent
-\defskip medskip
+\paragraph_indentation default
\quotes_language english
\papercolumns 1
\papersides 2
\paperpagestyle default
\tracking_changes false
\output_changes false
-\author ""
-\author ""
\end_header
\begin_body
\end_inset
space A line with a
-\begin_inset Formula $\to$
+\begin_inset Formula $\to
+$
\end_inset
\end_inset
-\begin_inset Formula $\gets$
+\begin_inset Formula $\gets
+$
\end_inset
Negative thin space between the arrows.
\end_inset
em) A line with a
-\begin_inset Formula $\to$
+\begin_inset Formula $\to
+$
\end_inset
\end_inset
-\begin_inset Formula $\gets$
+\begin_inset Formula $\gets
+$
\end_inset
Enspace (0.5
\end_inset
em) A line with a
-\begin_inset Formula $\to$
+\begin_inset Formula $\to
+$
\end_inset
\end_inset
-\begin_inset Formula $\gets$
+\begin_inset Formula $\gets
+$
\end_inset
Quad
\end_inset
em) A line with a
-\begin_inset Formula $\to$
+\begin_inset Formula $\to
+$
\end_inset
\end_inset
-\begin_inset Formula $\gets$
+\begin_inset Formula $\gets
+$
\end_inset
QQuad
\end_inset
space A line with
-\begin_inset Formula $\to$
+\begin_inset Formula $\to
+$
\end_inset
\end_inset
-\begin_inset Formula $\gets$
+\begin_inset Formula $\gets
+$
\end_inset
2
\family default
environment.
Here
-\begin_inset Formula $\to$
+\begin_inset Formula $\to
+$
\end_inset
\end_inset
-\begin_inset Formula $\gets$
+\begin_inset Formula $\gets
+$
\end_inset
is one in a standard paragraph.
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $-$
+\begin_inset Formula $-
+$
\end_inset
\end_layout
\begin_layout Enumerate
-\begin_inset Formula $x^{2}-y^{2}=z^{2}$
+\begin_inset Formula $x^{2}-y^{2}=z^{2}
+$
\end_inset
\end_inset
2
-\begin_inset Formula $\epsilon$
+\begin_inset Formula $\epsilon
+$
\end_inset
.
It's an old tradition in the TeX-world to give programs geek version numbers.
For example the version number of TeX converges to the number
-\begin_inset Formula $\pi$
+\begin_inset Formula $\pi
+$
\end_inset
: The actual version is
\end_inset
kW
-\begin_inset Formula $\cdot$
+\begin_inset Formula $\cdot
+$
\end_inset
h
\end_inset
kW
-\begin_inset Formula $\cdot$
+\begin_inset Formula $\cdot
+$
\end_inset
h
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="4">
-<features tabularvalignment="middle" firstHeadTopDL="true" firstHeadBottomDL="true">
+<features firstHeadTopDL="true" firstHeadBottomDL="true" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="middle" width="0">
<column alignment="center" valignment="top" width="0in">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="69" columns="3">
-<features islongtable="true" tabularvalignment="middle">
+<features islongtable="true" longtabularalignment="center">
<column alignment="block" valignment="top" width="5cm">
<column alignment="left" valignment="top" width="0pt">
<column alignment="right" valignment="top" width="0pt">
\bar no
\noun off
\color none
-\begin_inset Formula $\int x^{2}dx$
+\begin_inset Formula $\int x^{2}dx
+$
\end_inset
\color none
\begin_inset Formula $\left[\begin{array}{cc}
a & b\\
-c & d\end{array}\right]$
+c & d
+\end{array}\right]
+$
\end_inset
\bar no
\noun off
\color none
-\begin_inset Formula $1+1=2$
+\begin_inset Formula $1+1=2
+$
\end_inset
\begin_layout Standard
This is a line with an inline formula
-\begin_inset Formula $A=B$
+\begin_inset Formula $A=B
+$
\end_inset
in it.
Displayed formulas appear outside the text like as if they were in an own
paragraph, like this one:
\begin_inset Formula \[
-A=B\]
+A=B
+\]
\end_inset
\end_inset
, followed by a space, in a formula will create the Greek letter
-\begin_inset Formula $\alpha$
+\begin_inset Formula $\alpha
+$
\end_inset
.
Space
\family default
will leave a formula construct (a square root
-\begin_inset Formula $\sqrt{2}$
+\begin_inset Formula $\sqrt{2}
+$
\end_inset
, or parentheses
-\begin_inset Formula $\left(f\right)$
+\begin_inset Formula $\left(f\right)
+$
\end_inset
, or a matrix
\begin_inset Formula $\left[\begin{array}{cc}
1 & 2\\
-3 & 4\end{array}\right]$
+3 & 4
+\end{array}\right]
+$
\end_inset
).
\family default
.
For example, if you want
-\begin_inset Formula $\sqrt{2x+1}$
+\begin_inset Formula $\sqrt{2x+1}
+$
\end_inset
, type
, since in the latter case only the
\family typewriter
-\begin_inset Formula $2x$
+\begin_inset Formula $2x
+$
\end_inset
\family default
will be under the square root sign:
-\begin_inset Formula $\sqrt{2x}+1$
+\begin_inset Formula $\sqrt{2x}+1
+$
\end_inset
.
\left(\begin{array}{ccc}
\lambda_{1}\\
& \ddots\\
- & & \lambda_{n}\end{array}\right)\]
+ & & \lambda_{n}
+\end{array}\right)
+\]
\end_inset
You can use the math panel to add super- or subscripts, but the much easier
way is to use a command.
To get
-\begin_inset Formula $x^{2}$
+\begin_inset Formula $x^{2}
+$
\end_inset
, type in a formula
x^2y
\series default
, you will get
-\begin_inset Formula $x^{2y}$
+\begin_inset Formula $x^{2y}
+$
\end_inset
, to get
-\begin_inset Formula $x^{2}y$
+\begin_inset Formula $x^{2}y
+$
\end_inset
, type
\end_inset
if you want
-\begin_inset Formula $x^{a}$
+\begin_inset Formula $x^{a}
+$
\end_inset
, type
\series default
.
Subscripts are similar: To get
-\begin_inset Formula $a_{1}$
+\begin_inset Formula $a_{1}
+$
\end_inset
, type
\begin_inset Formula \[
\left[\frac{1}{\left(\begin{array}{cc}
2 & 3\\
-4 & 5\end{array}\right)}\right]\]
+4 & 5
+\end{array}\right)}\right]
+\]
\end_inset
\begin_layout Standard
Sum (
-\begin_inset Formula $\sum$
+\begin_inset Formula $\sum
+$
\end_inset
) and integral (
-\begin_inset Formula $\int$
+\begin_inset Formula $\int
+$
\end_inset
) operators are very often decorated with limits.
over and under the symbol in displayed formulas, and on the side in inline
formulas.
Such as
-\begin_inset Formula $\sum_{n=0}^{\infty}\frac{1}{n!}=e$
+\begin_inset Formula $\sum_{n=0}^{\infty}\frac{1}{n!}=e
+$
\end_inset
, versus
\begin_inset Formula \[
-\sum_{n=0}^{\infty}\frac{1}{n!}=e\]
+\sum_{n=0}^{\infty}\frac{1}{n!}=e
+\]
\end_inset
\begin_inset Formula \[
-\lim_{x\rightarrow\infty}f(x),\]
+\lim_{x\rightarrow\infty}f(x),
+\]
\end_inset
which will place the
-\begin_inset Formula $x\rightarrow\infty$
+\begin_inset Formula $x\rightarrow\infty
+$
\end_inset
underneath the
in display mode.
In inline formulas it looks like this:
-\begin_inset Formula $\lim_{x\rightarrow\infty}f(x)$
+\begin_inset Formula $\lim_{x\rightarrow\infty}f(x)
+$
\end_inset
.
a Ctrl+Space b
\series default
:
-\begin_inset Formula $a\, b$
+\begin_inset Formula $a\, b
+$
\end_inset
appears in LyX as
Space
\family default
:
-\begin_inset Formula $a\quad b$
+\begin_inset Formula $a\quad b
+$
\end_inset
Space
\family default
:
-\begin_inset Formula $a\! b$
+\begin_inset Formula $a\! b
+$
\end_inset
\end_inset
a number of function macros, such as
-\begin_inset Formula $\sin$
+\begin_inset Formula $\sin
+$
\end_inset
,
-\begin_inset Formula $\lim$
+\begin_inset Formula $\lim
+$
\end_inset
,
etc.).
Standard mathematical practice is, that functions are printed upright to
avoid confusions, because
-\begin_inset Formula $sin$
+\begin_inset Formula $sin
+$
\end_inset
does normally mean
-\begin_inset Formula $s·i·n$
+\begin_inset Formula $s·i·n
+$
\end_inset
.
\begin_layout Standard
Using the function macros will also produce correct spacing around the function:
-\begin_inset Formula $a\sin x$
+\begin_inset Formula $a\sin x
+$
\end_inset
is different from
-\begin_inset Formula $asinx$
+\begin_inset Formula $asinx
+$
\end_inset
\end_inset
enter
-\begin_inset Formula $\hat{a}$
+\begin_inset Formula $\hat{a}
+$
\end_inset
even if your keyboard doesn't have hat-accents enabled.
\bar no
\noun off
\color none
-\begin_inset Formula $\hat{a}$
+\begin_inset Formula $\hat{a}
+$
\end_inset
\bar no
\noun off
\color none
-\begin_inset Formula $\grave{a}$
+\begin_inset Formula $\grave{a}
+$
\end_inset
\bar no
\noun off
\color none
-\begin_inset Formula $\acute{a}$
+\begin_inset Formula $\acute{a}
+$
\end_inset
\bar no
\noun off
\color none
-\begin_inset Formula $\ddot{a}$
+\begin_inset Formula $\ddot{a}
+$
\end_inset
\bar no
\noun off
\color none
-\begin_inset Formula $\tilde{a}$
+\begin_inset Formula $\tilde{a}
+$
\end_inset
\bar no
\noun off
\color none
-\begin_inset Formula $\dot{a}$
+\begin_inset Formula $\dot{a}
+$
\end_inset
\bar no
\noun off
\color none
-\begin_inset Formula $\breve{a}$
+\begin_inset Formula $\breve{a}
+$
\end_inset
\bar no
\noun off
\color none
-\begin_inset Formula $\check{a}$
+\begin_inset Formula $\check{a}
+$
\end_inset
\bar no
\noun off
\color none
-\begin_inset Formula $\bar{a}$
+\begin_inset Formula $\bar{a}
+$
\end_inset
\bar no
\noun off
\color none
-\begin_inset Formula $\vec{a}$
+\begin_inset Formula $\vec{a}
+$
\end_inset
\begin_inset Formula \[
\left[\begin{array}{cc}
1 & 2\\
-3 & 4\end{array}\right]\]
+3 & 4
+\end{array}\right]
+\]
\end_inset
and to make it easier to see the layers of parentheses as in:
\begin_inset Formula \[
-\frac{1}{\left(1+\left(\frac{1}{1+\left(\frac{1}{1+x}\right)}\right)\right)}\]
+\frac{1}{\left(1+\left(\frac{1}{1+\left(\frac{1}{1+x}\right)}\right)\right)}
+\]
\end_inset
\left(\begin{array}{ccc}
1 & 2 & 3\\
4 & 5 & 6\\
-7 & 8 & 9\end{array}\right)\]
+7 & 8 & 9
+\end{array}\right)
+\]
\end_inset
\begin{array}{lcr}
this & this\, column & this\, column\\
column & has & has\, right\\
-has\, left\, alignment & center\, alignment & alignment\end{array}.\]
+has\, left\, alignment & center\, alignment & alignment
+\end{array}.
+\]
\end_inset
f(x)=\begin{cases}
-1 & x<0\\
0 & x=0\\
-1 & x>0\end{cases}\]
+1 & x>0
+\end{cases}
+\]
\end_inset
Here is an example:
\begin_inset Formula \begin{eqnarray}
a^{2} & = & (b^{2}+c^{2})(b^{2}-c^{2})\nonumber \\
-a & = & \sqrt{b^{4}-c^{4}}\label{eq:asquared}\end{eqnarray}
+a & = & \sqrt{b^{4}-c^{4}}\label{eq:asquared}
+\end{eqnarray}
\end_inset
Note that the middle column is designed for relation signs, structures
within this column will be printed in a smaller size:
\begin_inset Formula \begin{eqnarray*}
-\frac{A}{B} & \frac{A}{B} & \frac{A}{B}\end{eqnarray*}
+\frac{A}{B} & \frac{A}{B} & \frac{A}{B}
+\end{eqnarray*}
\end_inset
In this document the number is printed together with the chapter number,
separated by a dot:
\begin_inset Formula \begin{equation}
-1+1=2\end{equation}
+1+1=2
+\end{equation}
\end_inset
\begin_inset Formula \begin{eqnarray}
1 & = & 3-2\\
2 & = & 4-2\nonumber \\
-4 & \leq & 7\end{eqnarray}
+4 & \leq & 7
+\end{eqnarray}
\end_inset
in the second line:
\begin_inset Formula \begin{eqnarray}
\tanh(x) & = & \frac{\sinh(x)}{\cosh(x)}\nonumber \\
- & = & \frac{\mathrm{e}^{2x}-1}{\mathrm{e}^{2x}+1}\label{eq:tanhExp}\end{eqnarray}
+ & = & \frac{\mathrm{e}^{2x}-1}{\mathrm{e}^{2x}+1}\label{eq:tanhExp}
+\end{eqnarray}
\end_inset
\bar no
\noun off
\color none
-\begin_inset Formula $\mathrm{Roman}$
+\begin_inset Formula $\mathrm{Roman}
+$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\mathbf{\mathbf{Bold}}$
+\begin_inset Formula $\mathbf{\mathbf{Bold}}
+$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\mathit{Italic}$
+\begin_inset Formula $\mathit{Italic}
+$
\end_inset
\bar no
\noun off
\color none
-\begin_inset Formula $\mathtt{Typewriter}$
+\begin_inset Formula $\mathtt{Typewriter}
+$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\mathbf{\mathbb{BLACKBOARD}}$
+\begin_inset Formula $\mathbf{\mathbb{BLACKBOARD}}
+$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\mathfrak{Fraktur}$
+\begin_inset Formula $\mathfrak{Fraktur}
+$
\end_inset
\bar no
\noun off
\color none
-\begin_inset Formula $\mathcal{CALLIGRAPHIC}$
+\begin_inset Formula $\mathcal{CALLIGRAPHIC}
+$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\mathsf{SansSerif}$
+\begin_inset Formula $\mathsf{SansSerif}
+$
\end_inset
\family default
denotes the set of numbers:
\begin_inset Formula \[
-f(x)=\sqrt{x}\:;\: x\in\mathbb{N}\]
+f(x)=\sqrt{x}\:;\: x\in\mathbb{N}
+\]
\end_inset
Typewriter
\family default
:
-\begin_inset Formula $\mathtt{abc\mathfrak{d}e}$
+\begin_inset Formula $\mathtt{abc\mathfrak{d}e}
+$
\end_inset
\begin_layout Standard
The typefaces have no effect on Greek letters:
-\begin_inset Formula $\mathfrak{abc\delta e}$
+\begin_inset Formula $\mathfrak{abc\delta e}
+$
\end_inset
boldsymbol
\series default
, which works like the other typeface commands:
-\begin_inset Formula $\alpha\beta\gamma\boldsymbol{\alpha\beta\gamma}$
+\begin_inset Formula $\alpha\beta\gamma\boldsymbol{\alpha\beta\gamma}
+$
\end_inset
\begin_inset Formula \[
f(x)=\begin{cases}
x & \textrm{if I say so}\\
--x & \textrm{unter Umständen}\end{cases}\]
+-x & \textrm{unter Umständen}
+\end{cases}
+\]
\end_inset
.
A box for the size will be created in which you can insert the math structure.
For example, you can set
-\begin_inset Formula $\frac{1}{2}$
+\begin_inset Formula $\frac{1}{2}
+$
\end_inset
, which is normally in
displaystyle
\family default
:
-\begin_inset Formula ${\displaystyle \frac{1}{2}}$
+\begin_inset Formula ${\displaystyle \frac{1}{2}}
+$
\end_inset
.
\end_layout
\begin_layout Standard
-\begin_inset Formula $displaystyle$
+\begin_inset Formula $displaystyle
+$
\end_inset
,
-\begin_inset Formula ${\textstyle textstyle}$
+\begin_inset Formula ${\textstyle textstyle}
+$
\end_inset
,
-\begin_inset Formula ${\scriptstyle scriptstyle}$
+\begin_inset Formula ${\scriptstyle scriptstyle}
+$
\end_inset
,
-\begin_inset Formula ${\scriptscriptstyle scriptscriptstyle}$
+\begin_inset Formula ${\scriptscriptstyle scriptscriptstyle}
+$
\end_inset
.
\family roman
\size largest
-\begin_inset Formula $\mathrm{e}=\sum_{n=0}^{\infty}\frac{1}{n!}$
+\begin_inset Formula $\mathrm{e}=\sum_{n=0}^{\infty}\frac{1}{n!}
+$
\end_inset
\end_inset
-\begin_inset Formula $\sigma$
+\begin_inset Formula $\sigma
+$
\end_inset
\end_inset
-\begin_inset Formula $\sigma$
+\begin_inset Formula $\sigma
+$
\end_inset
\emph default
and
-\begin_inset Formula $\sigma$
+\begin_inset Formula $\sigma
+$
\end_inset
\end_inset
– the
-\begin_inset Formula $\sigma$
+\begin_inset Formula $\sigma
+$
\end_inset
will be sorted before the
sigma
\family default
in this field for the
-\begin_inset Formula $\sigma$
+\begin_inset Formula $\sigma
+$
\end_inset
, then
a
\emph default
will be located before
-\begin_inset Formula $\sigma$
+\begin_inset Formula $\sigma
+$
\end_inset
.
\series default
part appears:
\begin_inset Formula \[
-x^{2}-2x-2\Rightarrow\question{x_{1}}\answer{x_{2}}=1\question{+\sqrt{3}}\answer{-\sqrt{3}}.\]
+x^{2}-2x-2\Rightarrow\question{x_{1}}\answer{x_{2}}=1\question{+\sqrt{3}}\answer{-\sqrt{3}}.
+\]
\end_inset
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features islongtable="true" tabularvalignment="middle">
+<features islongtable="true" longtabularalignment="center">
<column alignment="left" valignment="top" width="0">
<column alignment="left" valignment="top" width="0">
<row interlinespace="2.5mm">
\begin_layout Description
Superscript Inserts an superscript: test
-\begin_inset Formula $^{\text{a,b}}$
+\begin_inset Formula $^{\text{a,b}}
+$
\end_inset
\begin_layout Description
Subscript Inserts an subscript: test
-\begin_inset Formula $_{\text{3x}}$
+\begin_inset Formula $_{\text{3x}}
+$
\end_inset
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="1" columns="2">
-<features islongtable="true" tabularvalignment="middle">
+<features islongtable="true" longtabularalignment="center">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align left
\begin_inset Tabular
<lyxtabular version="3" rows="21" columns="2">
-<features islongtable="true" tabularvalignment="middle">
+<features islongtable="true" longtabularalignment="center">
<column alignment="left" valignment="top" width="0">
<column alignment="left" valignment="top" width="0">
<row interlinespace="2.5mm">
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="25" columns="2">
-<features islongtable="true" tabularvalignment="middle">
+<features islongtable="true" longtabularalignment="center">
<column alignment="left" valignment="top" width="0">
<column alignment="left" valignment="top" width="0">
<row interlinespace="2.5mm">
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features islongtable="true" tabularvalignment="middle">
+<features islongtable="true" longtabularalignment="center">
<column alignment="left" valignment="top" width="0">
<column alignment="left" valignment="top" width="0">
<row interlinespace="2.5mm">
\end_inset
dd
-\begin_inset Formula $\approx$
+\begin_inset Formula $\approx
+$
\end_inset
37.6
projects / features.git / commitdiff