-#LyX 2.2 created this file. For more info see http://www.lyx.org/
-\lyxformat 508
+#LyX 2.3 created this file. For more info see http://www.lyx.org/
+\lyxformat 544
\begin_document
\begin_header
\save_transient_properties true
\font_osf false
\font_sf_scale 100 100
\font_tt_scale 100 100
+\use_microtype false
+\use_dash_ligatures false
\graphics default
\default_output_format pdf2
\output_sync 0
\suppress_date false
\justification true
\use_refstyle 0
+\use_minted 0
\notefontcolor #0000ff
\index Index
\shortcut idx
\tocdepth 3
\paragraph_separation skip
\defskip medskip
-\quotes_language english
+\is_math_indent 0
+\math_numbering_side default
+\quotes_style english
+\dynamic_quotes 0
\papercolumns 1
\papersides 2
\paperpagestyle plain
name "lyx-docs@lists.lyx.org"
target "lyx-docs@lists.lyx.org?subject=LyX's Math manual"
type "mailto:"
+literal "false"
\end_inset
\series bold
-http://wiki.lyx.org/LyX/DocumentationDevelopment#Math
+http://wiki.lyx.org/LyX/Manuals#Math
\end_layout
\end_inset
\begin_inset CommandInset href
LatexCommand href
-name "amsguide.ps"
-target "ftp://ftp.ams.org/pub/tex/doc/amstex/amsguide.pdf"
+name "amsguide.pdf"
+target "ftp://ctan.tug.org/tex-archive/macros/amstex/doc/amsguide.pdf"
+literal "false"
\end_inset
\end_inset
.
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\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
-
-
\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
-
-
\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
LatexCommand href
name "LyX-bug #1505"
target "http://www.lyx.org/trac/ticket/1505"
+literal "false"
\end_inset
\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
\end_inset
-\series default
-
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
and
\series bold
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
\begin_layout Standard
\align center
-\begin_inset space \hfill{}
-\end_inset
-
-
\begin_inset Tabular
-<lyxtabular version="3" rows="6" columns="2">
+<lyxtabular version="3" rows="6" columns="3">
<features booktabs="true" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
Result
\end_layout
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Shortcut
+\end_layout
+
\end_inset
</cell>
</row>
\end_layout
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
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+\begin_layout Plain Layout
+-
+\end_layout
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</cell>
</row>
\end_inset
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+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Info
+type "shortcut"
+arg "font-bold"
+\end_inset
+
+
\end_layout
\end_inset
\end_inset
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Info
+type "shortcut"
+arg "font-boldsymbol"
+\end_inset
+
+
\end_layout
\end_inset
\end_layout
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+-
+\end_layout
+
\end_inset
</cell>
</row>
\end_layout
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+-
+\end_layout
+
\end_inset
</cell>
</row>
\end_inset
-\begin_inset space \hfill{}
-\end_inset
-
+\end_layout
+\begin_layout Standard
+\align center
\begin_inset Tabular
-<lyxtabular version="3" rows="6" columns="2">
+<lyxtabular version="3" rows="6" columns="3">
<features booktabs="true" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
Result
\end_layout
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Shortcut
+\end_layout
+
\end_inset
</cell>
</row>
\end_layout
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+-
+\end_layout
+
\end_inset
</cell>
</row>
\end_inset
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Info
+type "shortcut"
+arg "font-roman"
+\end_inset
+
+
\end_layout
\end_inset
\end_inset
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Info
+type "shortcut"
+arg "font-sans"
+\end_inset
+
+
\end_layout
\end_inset
\end_inset
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Info
+type "shortcut"
+arg "font-typewriter"
+\end_inset
+
+
\end_layout
\end_inset
\end_inset
</cell>
-</row>
-</lyxtabular>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
-\end_inset
+\begin_layout Plain Layout
+-
+\end_layout
+\end_inset
+</cell>
+</row>
+</lyxtabular>
-\begin_inset space \hfill{}
\end_inset
LatexCommand href
name "LyX-bug #4629"
target "http://www.lyx.org/trac/ticket/4629"
+literal "false"
\end_inset
LatexCommand href
name "LyX-bug #5269"
target "http://www.lyx.org/trac/ticket/5269"
+literal "false"
\end_inset
\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_inset CommandInset citation
LatexCommand cite
key "Symbols"
+literal "true"
\end_inset
\end_inset
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
\end_layout
\begin_layout Subsection
\begin_layout Standard
An overview about the different Euro symbols:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_inset
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
\end_layout
\begin_layout Section
\end_inset
:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
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
\backslash
AA
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-
-\backslash
-@
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-textrm{
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-AA}
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-
\end_layout
\end_inset
\begin_layout Itemize
There are two different alignment styles:
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_deeper
\begin_layout Description
-Centered is the predefined standard
+Centered is the predefined standard.
\end_layout
\begin_layout Description
-Indented for this the option
-\series bold
-fleqn
-\series default
- must be inserted in the menu
+Indented this can be set using the menu
\family sans
Document\SpecialChar menuseparator
Settings
\family default
under
\family sans
-Document
+Math
\begin_inset space ~
\end_inset
-Class
+Options.
\end_layout
\begin_layout Standard
\series bold
Indented
\series default
- is used, the indentation can be adjusted with the length
-\series bold
-
-\backslash
-mathindent
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! M !
-\backslash
-mathindent
-\end_layout
-
-\end_inset
-
-.
- Should the distance be 15
-\begin_inset space \thinspace{}
-\end_inset
-
-mm, the following command line is inserted in the \SpecialChar LaTeX
--preamble
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-setlength{
-\backslash
-mathindent}{15mm}
-\end_layout
-
-\begin_layout Standard
-When no length is specified, the predefined value of 30
-\begin_inset space \thinspace{}
-\end_inset
-
-pt will be used.
+ is used, the indentation can be adjusted.
+ The default value depends on the used document class.
\end_layout
\end_deeper
\begin_layout Itemize
-And two different numbering styles:
-\begin_inset Separator latexpar
-\end_inset
-
-
-\end_layout
-
-\begin_deeper
-\begin_layout Description
-Right is the predefined standard
-\end_layout
-
-\begin_layout Description
-Left for this the option
-\series bold
-leqno
-\series default
- must be inserted in the menu
+And two different numbering styles that can be set in the menu
\family sans
Document\SpecialChar menuseparator
Settings
\family default
under
\family sans
-Document
+Math
\begin_inset space ~
\end_inset
-Class
+Options
+\family default
+:
\end_layout
-\end_deeper
-\begin_layout Standard
+\begin_deeper
+\begin_layout Description
+Right is in most cases the default.
+\end_layout
-\series bold
-fleqn
-\series default
- and
-\series bold
-leqno
-\series default
- can also be used together.
- In this case both options are inserted, separated by a comma.
+\begin_layout Description
+Left
\end_layout
+\end_deeper
\begin_layout Standard
The chosen styles are used for all displayed formulas of the document.
When both, centered and indented formulas should be created in a document,
LatexCommand href
name "LyX-bug #1505"
target "http://www.lyx.org/trac/ticket/1505"
+literal "false"
\end_inset
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
\end_layout
\begin_layout Subsubsection
LatexCommand href
name "LyX-bug #1429"
target "http://www.lyx.org/trac/ticket/1429"
+literal "false"
\end_inset
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
\end_layout
\begin_layout Subsection
LatexCommand href
name "Formula-numbering.lyx"
target "run:Formula-numbering.lyx"
+literal "false"
\end_inset
\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_inset CommandInset citation
LatexCommand cite
key "mhchem"
+literal "true"
\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 latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\begin_inset Graphics
filename clipart/macrobox.png
- scale 75
+ scale 95
\end_inset
\begin_inset Graphics
filename clipart/macrouse.png
- scale 75
+ scale 95
\end_inset
\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
\end_inset
-\begin_inset Separator latexpar
-\end_inset
-
-
\end_layout
\begin_layout Standard
\begin_inset CommandInset citation
LatexCommand cite
key "cancel"
+literal "true"
\end_inset
LatexCommand href
name "LyX-bug #9002"
target "http://www.lyx.org/trac/ticket/9002"
+literal "false"
\end_inset
\begin_inset CommandInset citation
LatexCommand cite
key "Duden"
+literal "true"
\end_inset
\begin_inset CommandInset citation
LatexCommand cite
key "Checklist"
+literal "true"
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\begin_inset CommandInset bibitem
LatexCommand bibitem
key "TLC2"
+literal "true"
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LatexCommand bibitem
key "Mathmode"
+literal "true"
\end_inset
\begin_inset CommandInset href
LatexCommand href
name "Description"
-target "ftp://ftp.dante.de/tex-archive/info/math/voss/mathmode/Mathmode.pdf"
+target "https://www.tug.org/~hvoss/PDF/mathmode.pdf"
+literal "false"
\end_inset
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LatexCommand bibitem
key "AMS"
+literal "true"
\end_inset
LatexCommand href
name "Description"
target "http://mirrors.ctan.org/macros/latex/required/amslatex/math/amsldoc.pdf"
+literal "false"
\end_inset
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LatexCommand bibitem
key "Symbols"
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LatexCommand href
name "List"
target "ftp://ftp.dante.de/tex-archive/info/symbols/comprehensive/symbols-a4.pdf"
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LatexCommand bibitem
key "cancel"
+literal "true"
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LatexCommand href
name "Documentation"
target "http://mirrors.ctan.org/macros/latex/contrib/cancel/cancel.pdf"
+literal "false"
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LatexCommand bibitem
key "hyperref"
+literal "true"
\end_inset
LatexCommand href
name "Documentation"
target "http://www.tug.org/applications/hyperref/ftp/doc/manual.pdf"
+literal "false"
\end_inset
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "mhchem"
+literal "true"
\end_inset
LatexCommand href
name "Documentation"
target "http://www.ctan.org/tex-archive/macros/latex/contrib/mhchem/mhchem.pdf"
+literal "false"
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\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Duden"
+literal "true"
\end_inset
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Checklist"
+literal "true"
\end_inset
LatexCommand href
name "Check list"
target "http://physics.nist.gov/Pubs/SP811/sec11.html"
+literal "false"
\end_inset
\begin_inset CommandInset index_print
LatexCommand printindex
type "idx"
+name "Index"
+literal "false"
\end_inset