#LyX 2.2 created this file. For more info see http://www.lyx.org/
-\lyxformat 503
+\lyxformat 508
\begin_document
\begin_header
+\save_transient_properties true
\origin /systemlyxdir/doc/
\textclass scrartcl
\begin_preamble
\end_inset
.
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
dfrac
\series default
.
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\end_inset
.
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\end_inset
.
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
or the table toolbar button
\begin_inset Info
type "icon"
-arg "inset-modify tabular append-row"
+arg "tabular-feature append-row"
\end_inset
.
every character can be displayed canceled.
The characters are quasi accentuated by a slash.
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\end_inset
the following problem occurs:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
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 parbreak
+\begin_inset Separator latexpar
\end_inset
, \SpecialChar LaTeX
decides on the basis of the next character what type is used.
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\begin_inset Info
type "icon"
-arg "inset-modify tabular append-row"
+arg "tabular-feature append-row"
\end_inset
,
\begin_inset Info
type "icon"
-arg "inset-modify tabular delete-row"
+arg "tabular-feature delete-row"
\end_inset
, etc.
\begin_layout Standard
These commands are used to emphasize levels of brackets:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\begin_layout Standard
Here is an overview about all bracket sizes:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\begin_layout Standard
In the following table is a comparison of the variants:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\series default
the wanted bracket must be inserted.
The bracket size will then automatically be calculated for the output.
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
always
\family default
, you have access to square backets:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\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 parbreak
+\begin_inset Separator latexpar
\end_inset
\end_inset
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\begin_layout Standard
The command scheme is for all these arrows:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\end_inset
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
Space
\family default
afterwards.
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
contrary to the other sizes, because it is a negative
space.
There are two more negative spaces:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\end_inset
useful for summation operators:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
To suppress this, the equal sign is placed into a \SpecialChar TeX
brace.
The following example demonstrates this:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
fbox
\series default
.
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\series default
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
yellow
\series default
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
times the frame separation and the frame thickness must be subtracted from
the line width.
- As this is not automatically done by \SpecialChar LyX
- due to a bug
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-\begin_inset CommandInset href
-LatexCommand href
-name "LyX-bug #4483"
-target "http://www.lyx.org/trac/ticket/4483"
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-, \SpecialChar TeX
- mode has to be used.
To be able to multiply and subtract in arguments, the \SpecialChar LaTeX
-package
\series bold
\begin_layout Standard
Limits are created by super- and subscripts:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\end_inset
:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\end_inset
.
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\begin_layout Standard
An overview about the different Euro symbols:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\end_inset
:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
Therefore there are predefined functionswhich are additionally a bit separated
from prefactors.
They are inserted as commands starting with a backslash before their name.
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\end_inset
:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
limsup
\series default
the following functions are defined:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
To get these characters you have to insert them with a leading
\backslash
:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{\aa}$
+\begin_inset Formula $\textrm{å}$
\end_inset
\begin_layout Itemize
There are two different alignment styles:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\end_deeper
\begin_layout Itemize
And two different numbering styles:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
To add or delete lines, the math toolbar buttons
\begin_inset Info
type "icon"
-arg "inset-modify tabular append-row"
+arg "tabular-feature append-row"
\end_inset
or
\begin_inset Info
type "icon"
-arg "inset-modify tabular delete-row"
+arg "tabular-feature delete-row"
\end_inset
, respectively, or the menu
To add or delete columns, the math toolbar buttons
\begin_inset Info
type "icon"
-arg "inset-modify tabular append-column"
+arg "tabular-feature append-column"
\end_inset
or
\begin_inset Info
type "icon"
-arg "inset-modify tabular delete-column"
+arg "tabular-feature delete-column"
\end_inset
, respectively, or the menu
An example:
\begin_inset Formula
\begin{equation}
-A=C-B\label{eq:a}
+A=C-B
\end{equation}
\end_inset
\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-addtocounter{equation}{-1}
-\end_layout
-
-\end_inset
-
-
-\begin_inset ERT
-status collapsed
+status open
\begin_layout Plain Layout
\begin_layout Standard
\begin_inset ERT
-status collapsed
+status open
\begin_layout Plain Layout
\series bold
-\backslash
-addtocounter{equation}{-1}
\backslash
begin{subequations}
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! A !
-\backslash
-addtocounter
-\end_layout
-
-\end_inset
-
-
\begin_inset Newline newline
\end_inset
\backslash
end
\series default
- is subnumbered as a, b,
-\begin_inset Newline linebreak
-\end_inset
-
-c, \SpecialChar ldots
+ will be subnumbered with a, b, c, \SpecialChar ldots
+ in the output.
For multiline formulas every line will be subnumbered.
- All subnumbered formulas are treated as
-\emph on
-one
-\emph default
- numbered formula.
- But as every numbered formula increases the counter
-\series bold
-equation
-\series default
- by one, the command
-\series bold
-
-\backslash
-addtocounter
-\series default
- is needed to decrease it.
- Otherwise the formulas
-\begin_inset CommandInset ref
-LatexCommand eqref
-reference "eq:a"
-
-\end_inset
+\end_layout
-,
+\begin_layout Standard
+Referencing subequations work like for normal equations:
\begin_inset CommandInset ref
LatexCommand eqref
reference "eq:b"
\end_inset
- would be numbered as
-\begin_inset CommandInset ref
-LatexCommand eqref
-reference "eq:a"
-
-\end_inset
-
-,
-\begin_inset CommandInset ref
-LatexCommand eqref
-reference "eq:d"
-
-\end_inset
-
-,
+.
+ If you want to reference the subequations collectively, insert a label
+ directly after
+\series bold
+
+\backslash
+begin{subequations}
+\series default
+ and reference it.
+ Formula
\begin_inset CommandInset ref
LatexCommand eqref
-reference "eq:f"
+reference "eq:Here-is-an"
\end_inset
-.
+ is an example.
\end_layout
\begin_layout Standard
-By inserting the commands in \SpecialChar TeX
- mode, a space is created between the first
- two formulas.
+By inserting commands in \SpecialChar TeX
+ mode, a space is created between the first two
+ formulas.
To revert this -5
\begin_inset space \thinspace{}
\end_inset
\end_layout
\begin_layout Standard
-Here is an example for a multiline formula where the numbering was turned
- off for the second line:
+To get another subnumber instead of small Latin letters, insert this command
+ as TeX code after
+\series bold
+
+\backslash
+begin{subequations}
+\series default
+:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+renewcommand{
+\backslash
+theequation}{
+\backslash
+theparentequation -
+\backslash
+roman{equation}}
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+theparentequation
+\series default
+ creates hereby the parent number and
+\series bold
+
+\backslash
+roman{equation}
+\series default
+ adds a small Roman number as subnumber.
+ For more information about the customization of the numbering, see
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Numbering-with-Roman"
+
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
+Here is an example for a multiline formula where the numbering is customized
+ and turned off for the second line:
\begin_inset ERT
status collapsed
\end_inset
+\begin_inset CommandInset label
+LatexCommand label
+name "eq:Here-is-an"
+
+\end_inset
+
+
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+renewcommand{
+\backslash
+theequation}{
+\backslash
+theparentequation -
+\backslash
+roman{equation}}
+\end_layout
+
+\end_inset
+
+
\begin_inset Formula
\begin{eqnarray}
-A & = & (B-Z)^{2}=(B-Z)(B-Z)\label{eq:d}\\
+A & = & (B-Z)^{2}=(B-Z)(B-Z)\\
& = & B^{2}-ZB-BZ+Z^{2}\nonumber \\
- & = & B^{2}-2BZ+Z^{2}\label{eq:f}
+ & = & B^{2}-2BZ+Z^{2}
\end{eqnarray}
\end_inset
\begin_layout Subsection
Numbering with Roman Numbers and Letters
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Numbering-with-Roman"
+
+\end_inset
+
+
\begin_inset Index idx
status collapsed
\series default
to a formula a new blue box appears where chemical formulas can be inserted
in an intuitive way.
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
.
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Section
User-defined Commands
\begin_inset Index idx
\begin_layout Standard
A test of the new defined commands:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\end_inset
+\end_layout
+
+\begin_layout Itemize
+\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 Newline newline
+\end_inset
+
+
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\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
+
+
\end_layout
\begin_layout Itemize
\end_inset
+\end_layout
+
+\begin_layout Itemize
+\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
+\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
+
+
\end_layout
\begin_layout Subsection
\begin_layout Standard
An example to visualize the problem:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\begin_layout Standard
The following commands are defined:
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
\end_inset
3.
-\begin_inset Separator parbreak
+\begin_inset Separator latexpar
\end_inset
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 parbreak
+\begin_inset Separator latexpar
\end_inset
\begin_inset CommandInset href
LatexCommand href
name "Check list"
-target "http://physics.nist.gov/Document/checklist.pdf"
+target "http://physics.nist.gov/Pubs/SP811/sec11.html"
\end_inset