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-\author 5863208 "ab"
\end_header
\begin_body
\end_inset
.
-\begin_inset Separator latexpar
-\end_inset
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-
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\begin_layout Standard
dfrac
\series default
.
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_inset
.
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_inset
.
-\begin_inset Separator latexpar
-\end_inset
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-
\end_layout
\begin_layout Standard
every character can be displayed canceled.
The characters are quasi accentuated by a slash.
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_inset
the following problem occurs:
-\begin_inset Separator latexpar
-\end_inset
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-
\end_layout
\begin_layout Standard
The arrows indicate that the complete width and height of the box content
will be created as placeholder.
Phantom characters are accordingly placeholders with the size of the characters.
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
, \SpecialChar LaTeX
decides on the basis of the next character what type is used.
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\begin_layout Standard
These commands are used to emphasize levels of brackets:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\begin_layout Standard
Here is an overview about all bracket sizes:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\begin_layout Standard
In the following table is a comparison of the variants:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\series default
the wanted bracket must be inserted.
The bracket size will then automatically be calculated for the output.
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
always
\family default
, you have access to square backets:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\series default
you can change the thickness of the bracket's stroke by specifying the
desired thickness in square brackets behind the command:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_inset
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\begin_layout Standard
The command scheme is for all these arrows:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_inset
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
Space
\family default
afterwards.
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
contrary to the other sizes, because it is a negative
space.
There are two more negative spaces:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_inset
useful for summation operators:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
To suppress this, the equal sign is placed into a \SpecialChar TeX
brace.
The following example demonstrates this:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
fbox
\series default
.
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\series default
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
yellow
\series default
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\begin_layout Standard
Limits are created by super- and subscripts:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_inset
:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_inset
.
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\begin_layout Standard
An overview about the different Euro symbols:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_inset
:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_inset
.
- Therefore there are predefined functionswhich are additionally a bit separated
+ Therefore there are predefined functions which are additionally a bit separated
from prefactors.
They are inserted as commands starting with a backslash before their name.
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_inset
:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
limsup
\series default
the following functions are defined:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
To get these characters you have to insert them with a leading
\backslash
:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\begin_layout Itemize
There are two different alignment styles:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_deeper
\end_deeper
\begin_layout Itemize
And two different numbering styles:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_deeper
\series default
to a formula a new blue box appears where chemical formulas can be inserted
in an intuitive way.
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\begin_layout Standard
A test of the new defined commands:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Itemize
-
-\change_inserted 5863208 1465782906
\begin_inset Formula $\int\left(\frac{1}{1+x^{3}}\right)dx=-\frac{\log\left(x^{2}-x+1\right)}{6}+\frac{\arctan\left(\frac{2\,x-1}{\sqrt{3}}\right)}{\sqrt{3}}+\frac{\log\left(x+1\right)}{3}$
\end_inset
-\begin_inset Foot
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset Note Greyedout
status open
\begin_layout Plain Layout
-\change_inserted 5863208 1465782906
-Note that one needs to use proper delimiter insets
+\series bold
+Note:
+\series default
+ One needs to use proper delimiter insets
\begin_inset Formula $\left(\right)$
\end_inset
instead of simple '(' ')' characters.
-
\end_layout
\end_inset
-
-\change_unchanged
-
+
\end_layout
\begin_layout Itemize
\end_layout
-\begin_layout Standard
-
-\change_inserted 5863208 1465782942
-One can also use standard commands known to CAS:
-\end_layout
-
\begin_layout Itemize
-
-\change_inserted 5863208 1465782942
-\begin_inset Formula $powerseries\left(-\log\left(5-x\right),x,1\right)=\sum_{{\mathit i_{2}}=0}^{\infty}{\frac{4^{-{\mathit i_{2}}-1}\,\left(x-1\right)^{{\mathit i_{2}}+1}}{{\mathit i_{2}}+1}}-\log4$
+\begin_inset Formula $powerseries\left(-\log\left(5-x\right),x,1\right)=\sum_{{\mathit{i}_{2}}=0}^{\infty}{\frac{4^{-{\mathit{i}_{2}}-1}\,\left(x-1\right)^{{\mathit{i}_{2}}+1}}{{\mathit{i}_{2}}+1}}-\log4$
\end_inset
\end_layout
\begin_layout Itemize
-
-\change_inserted 5863208 1465782942
\begin_inset Formula $solve\left(x_{1}+y_{1}^{3}=y_{1}+x_{1}^{2},x_{1}\right)=\left[x_{1}=-\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}-1}{2},x_{1}=\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}+1}{2}\right]$
\end_inset
-\change_unchanged
-
\end_layout
\begin_layout Subsection
\begin_layout Standard
An example to visualize the problem:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\begin_layout Standard
The following commands are defined:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_inset
3.
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
fraction bar is round about three times the bar thickness.
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
\begin_layout Subsection
Canceled Formulas
\begin_inset Index idx
\end_inset
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
projects / features.git / blobdiff