]> git.lyx.org Git - lyx.git/blobdiff - lib/doc/Math.lyx
de/UserGuide: adapt some changes from en
[lyx.git] / lib / doc / Math.lyx
index 11fd32bbda162d2c31b67df6d6e60a579e9333a9..e754f487f3571e80585284ed1bf3e33022647fbb 100644 (file)
@@ -1,8 +1,9 @@
-#LyX 2.2 created this file. For more info see http://www.lyx.org/
-\lyxformat 498
+#LyX 2.4 created this file. For more info see https://www.lyx.org/
+\lyxformat 598
 \begin_document
 \begin_header
-\origin unavailable
+\save_transient_properties true
+\origin /systemlyxdir/doc/
 \textclass scrartcl
 \begin_preamble
 % DO NOT ALTER THIS PREAMBLE!!!
 % the documentation team
 % email: lyx-docs@lists.lyx.org
 
-% if pdflatex is used
-\usepackage{ifpdf}
-\ifpdf
-
-% set fonts for nicer pdf view
-\IfFileExists{lmodern.sty}
- {\usepackage{lmodern}}{}
-
-\fi % end if pdflatex is used
-
 % solves the following problem:
 % If the dection number consits of too many numerals the section heading
 % will be printed in the TOC without a space between it and the section number.
@@ -96,8 +87,9 @@
 \newcommand{\fracS}[3][]{\genfrac{}{}{#1}{}{#2}{#3}}
 
 % example macro from sec. 19.4
+%\AtBeginDocument{
 %\def\tagform@#1{\maketag@@@{|#1|}}
-
+%}
 
 % ------------------------------------
 % used to check for needed LaTeX packages
 \end_preamble
 \options bibliography=totoc,index=totoc,BCOR7.5mm,titlepage,captions=tableheading
 \use_default_options false
-\maintain_unincluded_children false
+\begin_modules
+subequations
+\end_modules
+\maintain_unincluded_children no
 \language english
 \language_package default
-\inputencoding auto
-\fontencoding global
-\font_roman default
-\font_sans default
-\font_typewriter default
-\font_math auto
+\inputencoding utf8
+\fontencoding auto
+\font_roman "lmodern" "default"
+\font_sans "lmss" "default"
+\font_typewriter "lmtt" "default"
+\font_math "auto" "auto"
 \font_default_family default
 \use_non_tex_fonts false
 \font_sc false
-\font_osf false
-\font_sf_scale 100
-\font_tt_scale 100
+\font_roman_osf false
+\font_sans_osf false
+\font_typewriter_osf false
+\font_sf_scale 100 100
+\font_tt_scale 100 100
+\use_microtype false
+\use_dash_ligatures false
 \graphics default
-\default_output_format default
+\default_output_format pdf2
 \output_sync 0
 \bibtex_command default
-\index_command default
+\index_command makeindex
+\float_placement class
+\float_alignment class
 \paperfontsize 12
 \spacing single
 \use_hyperref true
 \pdf_backref false
 \pdf_pdfusetitle false
 \pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false"
-\papersize a4paper
+\papersize a4
 \use_geometry false
 \use_package amsmath 2
 \use_package amssymb 2
-\use_package cancel 0
+\use_package cancel 1
 \use_package esint 1
 \use_package mathdots 1
 \use_package mathtools 2
 \use_package mhchem 1
-\use_package stackrel 0
-\use_package stmaryrd 0
+\use_package stackrel 1
+\use_package stmaryrd 1
 \use_package undertilde 0
 \cite_engine basic
 \cite_engine_type default
 \suppress_date false
 \justification true
 \use_refstyle 0
+\use_minted 0
+\use_lineno 0
 \notefontcolor #0000ff
 \index Index
 \shortcut idx
 \secnumdepth 4
 \tocdepth 3
 \paragraph_separation skip
-\defskip medskip
-\quotes_language english
+\defskip halfline
+\is_math_indent 0
+\math_numbering_side default
+\quotes_style english
+\dynamic_quotes 0
 \papercolumns 1
 \papersides 2
 \paperpagestyle plain
+\tablestyle default
 \bullet 1 0 6 -1
 \bullet 2 2 35 -1
 \bullet 3 2 7 -1
-\tracking_changes false
+\tracking_changes true
 \output_changes false
+\change_bars false
+\postpone_fragile_content false
 \html_math_output 0
 \html_css_as_file 0
 \html_be_strict false
+\docbook_table_output 0
+\author -563046850 "Jean-Marc LASGOUTTES"
+\author 47243155 "Jean-Marc"
 \end_header
 
 \begin_body
@@ -249,6 +261,7 @@ LatexCommand href
 name "lyx-docs@lists.lyx.org"
 target "lyx-docs@lists.lyx.org?subject=LyX's Math manual"
 type "mailto:"
+literal "false"
 
 \end_inset
 
@@ -277,7 +290,13 @@ author: Uwe Stöhr
 
 
 \family sans
-Version 2.1.x
+Version 2.
+\change_inserted 47243155 1563226038
+4
+\change_deleted 47243155 1563226038
+3
+\change_unchanged
+.x
 \end_layout
 
 \begin_layout Standard
@@ -320,7 +339,7 @@ The latest PDF-version of this document can be found here:
 
 
 \series bold
-http://wiki.lyx.org/LyX/DocumentationDevelopment#Math
+https://wiki.lyx.org/LyX/Manuals#Math
 \end_layout
 
 \end_inset
@@ -468,8 +487,9 @@ AmS
 
 \begin_inset CommandInset href
 LatexCommand href
-name "amsguide.ps"
-target "ftp://ftp.ams.org/pub/tex/doc/amstex/amsguide.pdf"
+name "amsguide.pdf"
+target "https://www.ctan.org/tex-archive/macros/amstex/doc/amsguide.pdf"
+literal "false"
 
 \end_inset
 
@@ -975,6 +995,7 @@ Available units
 \align center
 \begin_inset Float table
 placement H
+alignment document
 wide false
 sideways false
 status open
@@ -1182,7 +1203,7 @@ pt)
 \begin_inset Text
 
 \begin_layout Plain Layout
-böp
+bp
 \end_layout
 
 \end_inset
@@ -1502,270 +1523,262 @@ arg   "math-superscript"
 \end_inset
 
 .
-\begin_inset Separator parbreak
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-\align center
-\begin_inset Tabular
-<lyxtabular version="3" rows="4" columns="2">
-<features booktabs="true" tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0pt">
-<column alignment="center" valignment="top" width="0pt">
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-Command
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-Result
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-B_V
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $B_{V}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row topspace="1.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-B^V
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $B^{V}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row topspace="1.5mm">
-<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-B^
-\begin_inset space \textvisiblespace{}
-\end_inset
-
-A
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $B^{A}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-</lyxtabular>
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-As the caret is in some languages an accent, vowels will be accentuated
- in this case and not set as exponents
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-Depending on the used keyboard settings this can also happen for characters
- other than vowels.
-\end_layout
-
-\end_inset
-
-.
- To get exponents in this case, press 
-\family sans
-Space
-\family default
- after the caret as in the last example.
-\end_layout
-
-\begin_layout Subsection
-Fractions
-\begin_inset CommandInset label
-LatexCommand label
-name "subsec:Fractions"
-
-\end_inset
-
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Fractions
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-Fractions are generated with the command 
-\series bold
-
-\backslash
-frac
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! F ! 
-\backslash
-frac
-\end_layout
-
-\end_inset
-
- or via the math toolbar button 
-\begin_inset Info
-type  "icon"
-arg   "math-insert \\frac"
-\end_inset
-
-.
- The font size is adjusted automatically, depending on whether the fraction
- is in an inline or display style formula.
- With the math toolbar button 
-\begin_inset Info
-type  "icon"
-arg   "math-insert \\frac-square"
-\end_inset
-
- you can select different fraction types.
-\end_layout
-
-\begin_layout Standard
-With the command 
-\series bold
-
-\backslash
-dfrac
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! D ! 
-\backslash
-dfrac
-\end_layout
-
-\end_inset
-
- a fraction can be created that always has the size of a display style formula.
- With 
-\series bold
-
-\backslash
-tfrac
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! T ! 
-\backslash
-tfrac
-\end_layout
-
-\end_inset
-
- the fraction appears always with the size of an inline formula.
- An example:
-\end_layout
-
-\begin_layout Standard
-A line with the fraction 
-\begin_inset Formula $\frac{1}{2}$
-\end_inset
-
- that was created with the command 
-\series bold
-
-\backslash
-frac
-\series default
-.
-\end_layout
-
-\begin_layout Standard
-A line with the fraction 
-\begin_inset Formula $\dfrac{1}{2}$
-\end_inset
-
- that was created with the command 
-\series bold
-
-\backslash
-dfrac
-\series default
-.
-\begin_inset Separator parbreak
+\end_layout
+
+\begin_layout Standard
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="4" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Command
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Result
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+B_V
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $B_{V}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+B^V
+\end_layout
+
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $B^{V}$
+\end_inset
+
 
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+B^
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $B^{A}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+As the caret is in some languages an accent, vowels will be accentuated
+ in this case and not set as exponents
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+Depending on the used keyboard settings this can also happen for characters
+ other than vowels.
+\end_layout
+
+\end_inset
+
+.
+ To get exponents in this case, press 
+\family sans
+Space
+\family default
+ after the caret as in the last example.
+\end_layout
+
+\begin_layout Subsection
+Fractions
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Fractions"
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Fractions
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Fractions are generated with the command 
+\series bold
+
+\backslash
+frac
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! F ! 
+\backslash
+frac
+\end_layout
+
+\end_inset
+
+ or via the math toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\frac"
+\end_inset
+
+.
+ The font size is adjusted automatically, depending on whether the fraction
+ is in an inline or display style formula.
+ With the math toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\frac-square"
+\end_inset
+
+ you can select different fraction types.
+\end_layout
+
+\begin_layout Standard
+With the command 
+\series bold
+
+\backslash
+dfrac
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! D ! 
+\backslash
+dfrac
+\end_layout
+
+\end_inset
+
+ a fraction can be created that always has the size of a display style formula.
+ With 
+\series bold
+
+\backslash
+tfrac
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! T ! 
+\backslash
+tfrac
+\end_layout
+
+\end_inset
+
+ the fraction appears always with the size of an inline formula.
+ An example:
+\end_layout
+
+\begin_layout Standard
+A line with the fraction 
+\begin_inset Formula $\frac{1}{2}$
+\end_inset
+
+ that was created with the command 
+\series bold
+
+\backslash
+frac
+\series default
+.
+\end_layout
+
+\begin_layout Standard
+A line with the fraction 
+\begin_inset Formula $\dfrac{1}{2}$
+\end_inset
+
+ that was created with the command 
+\series bold
+
+\backslash
+dfrac
+\series default
+.
 \end_layout
 
 \begin_layout Standard
@@ -2300,10 +2313,6 @@ arg   "math-insert \\root"
 \end_inset
 
 .
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -2619,7 +2628,8 @@ tbinom
 \end_inset
 
 .
- For other brackets around binomial coeficients there are the commands 
+ For other brackets around binomial coefficients there are the commands
 \series bold
 
 \backslash
@@ -2656,10 +2666,6 @@ brack
 \end_inset
 
 .
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -3015,7 +3021,7 @@ arg   "newline-insert newline"
  or the table toolbar button 
 \begin_inset Info
 type  "icon"
-arg   "inset-modify tabular append-row"
+arg   "tabular-feature append-row"
 \end_inset
 
 .
@@ -3072,10 +3078,6 @@ not
 
  every character can be displayed canceled.
  The characters are quasi accentuated by a slash.
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -3300,10 +3302,6 @@ reference "subsec:Chemical-Symbols-and"
 \end_inset
 
  the following problem occurs:
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -3408,10 +3406,9 @@ arg   "math-insert \\space"
 \end_inset
 
  
-\begin_inset Graphics
-       filename ../images/math/phantom.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math/phantom"
 \end_inset
 
  that creates one or more phantom characters.
@@ -3425,10 +3422,6 @@ phantom
  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
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -3610,14 +3603,9 @@ vphantom
 \end_inset
 
  (toolbar button 
-\begin_inset space ~
-\end_inset
-
-
-\begin_inset Graphics
-       filename ../images/math/vphantom.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math/vphantom"
 \end_inset
 
 ) and 
@@ -3639,14 +3627,9 @@ hphantom
 \end_inset
 
  (toolbar button 
-\begin_inset space ~
-\end_inset
-
-
-\begin_inset Graphics
-       filename ../images/math/hphantom.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math/hphantom"
 \end_inset
 
 ).
@@ -4149,10 +4132,6 @@ dots
 
 , \SpecialChar LaTeX
  decides on the basis of the next character what type is used.
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -4806,13 +4785,13 @@ To add or delete rows and columns subsequently, the math toolbar buttons
  
 \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.
@@ -4838,13 +4817,64 @@ arg   "newline-insert newline"
 \begin_inset VSpace bigskip
 \end_inset
 
+
+\change_deleted 47243155 1563226130
 The 
+\change_deleted -563046850 1563190969
+
 \family sans
 Decoration
+\change_inserted -563046850 1563190971
+Appearance
+\change_unchanged
+
 \family default
- adds parentheses in the selected style around the matrix.
- Alternatively, parentheses can can either be created with the commands
  
+\change_deleted -563046850 1563192602
+adds
+\change_inserted -563046850 1563192607
+can be used to add
+\change_unchanged
+ parentheses in the selected style around the matrix
+\change_inserted -563046850 1563192780
+ or to select the 
+\family sans
+small
+\family default
+ style, suitable for an inline matrix like this one 
+\begin_inset Formula $\bigl(\begin{smallmatrix}0 & \textrm{-}\mathrm{i}\\
+\mathrm{i} & 0
+\end{smallmatrix}\bigr)$
+\end_inset
+
+
+\change_unchanged
+.
+
+\change_inserted -563046850 1563192943
+ Here the parentheses have been added manually using commands 
+\series bold
+
+\backslash
+bigl(
+\series default
+ and 
+\series bold
+
+\backslash
+bigr).
+\end_layout
+
+\begin_layout Standard
+
+\change_deleted -563046850 1563192735
+\change_unchanged
+Alternatively, parentheses can can 
+\change_deleted -563046850 1563192971
+either 
+\change_unchanged
+be created with the commands 
 \series bold
 
 \backslash
@@ -5354,7 +5384,13 @@ arraystretch
 \end_layout
 
 \begin_layout Standard
-To set matrices into a text line, the command 
+
+\change_inserted 47243155 1563226178
+Small inline matrices can also be obtained using 
+\change_deleted 47243155 1563226182
+To set matrices into a text line,
+\change_unchanged
+ the command 
 \series bold
 
 \backslash
@@ -5372,7 +5408,11 @@ smallmatrix
 
 \end_inset
 
- is used.
+
+\change_deleted 47243155 1563226186
+ is used
+\change_unchanged
+.
  When it is inserted a blue box with two dashed lines appears.
  In this box the matrix is inserted.
 \end_layout
@@ -5384,7 +5424,11 @@ C & D
 \end{smallmatrix}\right)$
 \end_inset
 
- in a text line.
+ in a text line
+\change_inserted 47243155 1563226243
+ with automatic delimiters around it
+\change_unchanged
+.
 \end_layout
 
 \begin_layout Section
@@ -6028,10 +6072,6 @@ Bigg
 
 \begin_layout Standard
 These commands are used to emphasize levels of brackets:
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -6112,10 +6152,6 @@ C
 
 \begin_layout Standard
 Here is an overview about all bracket sizes:
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -6239,10 +6275,6 @@ r
 
 \begin_layout Standard
 In the following table is a comparison of the variants:
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -6498,10 +6530,6 @@ right
 \series default
  the wanted bracket must be inserted.
  The bracket size will then automatically be calculated for the output.
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -6978,11 +7006,7 @@ Load
 
 always
 \family default
-, you have access to square backets:
-\begin_inset Separator parbreak
-\end_inset
-
-
+, you have access to square brackets:
 \end_layout
 
 \begin_layout Standard
@@ -7223,10 +7247,6 @@ underbracket
 \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
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -7560,7 +7580,8 @@ status collapsed
 \begin_inset CommandInset href
 LatexCommand href
 name "LyX-bug #1505"
-target "http://www.lyx.org/trac/ticket/1505"
+target "https://www.lyx.org/trac/ticket/1505"
+literal "false"
 
 \end_inset
 
@@ -8635,10 +8656,6 @@ always
 \end_inset
 
 
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -9163,10 +9180,6 @@ xrightleftharpoons
 
 \begin_layout Standard
 The command scheme is for all these arrows:
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -10432,10 +10445,6 @@ undertilde
 \end_inset
 
 
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -10586,7 +10595,7 @@ Accents ! for several characters
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -10604,29 +10613,13 @@ Command
 
 \begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -10641,11 +10634,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}\overleftarrow{A=B}\raisebox{-2mm}{}$
+\begin_inset Formula $\overleftarrow{A=B}$
 \end_inset
 
 
@@ -10654,8 +10647,8 @@ A=B
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -10670,11 +10663,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\underleftarrow{A=B}\raisebox{-3mm}{}$
+\begin_inset Formula $\underleftarrow{A=B}$
 \end_inset
 
 
@@ -10683,8 +10676,8 @@ A=B
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -10699,11 +10692,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}\overleftrightarrow{A=B}\raisebox{-2mm}{}$
+\begin_inset Formula $\overleftrightarrow{A=B}$
 \end_inset
 
 
@@ -10712,8 +10705,8 @@ A=B
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<row topspace="1.5mm" bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -10732,7 +10725,7 @@ A=B
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\underleftrightarrow{A=B}\raisebox{-3mm}{}$
+\begin_inset Formula $\underleftrightarrow{A=B}$
 \end_inset
 
 
@@ -10752,7 +10745,7 @@ A=B
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -10775,8 +10768,8 @@ Result
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -10791,11 +10784,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}\overrightarrow{A=B}\raisebox{-2mm}{}$
+\begin_inset Formula $\overrightarrow{A=B}$
 \end_inset
 
 
@@ -10804,8 +10797,8 @@ A=B
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -10820,11 +10813,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\underrightarrow{A=B}\raisebox{-3mm}{}$
+\begin_inset Formula $\underrightarrow{A=B}$
 \end_inset
 
 
@@ -10833,8 +10826,8 @@ A=B
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -10849,11 +10842,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}\widetilde{A=B}\raisebox{-2mm}{}$
+\begin_inset Formula $\widetilde{A=B}$
 \end_inset
 
 
@@ -10862,8 +10855,8 @@ A=B
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<row topspace="1.5mm" bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -10882,7 +10875,7 @@ A=B
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}\widehat{A=B}\raisebox{-2mm}{}$
+\begin_inset Formula $\widehat{A=B}$
 \end_inset
 
 
@@ -11080,10 +11073,6 @@ arg   "math-insert \\space"
 Space
 \family default
  afterwards.
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -11091,7 +11080,7 @@ Space
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="3">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top">
 <column alignment="center" valignment="top" width="15col%">
 <column alignment="center" valignment="top">
@@ -11129,7 +11118,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11140,7 +11129,7 @@ Result
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11149,7 +11138,7 @@ Result
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11163,7 +11152,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11174,7 +11163,7 @@ Result
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11183,7 +11172,7 @@ Result
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11197,7 +11186,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11208,7 +11197,7 @@ Result
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11217,7 +11206,7 @@ Result
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11231,7 +11220,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11242,7 +11231,7 @@ quad
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11251,7 +11240,7 @@ quad
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11265,7 +11254,7 @@ quad
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11276,7 +11265,7 @@ qquad
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11285,7 +11274,7 @@ qquad
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11309,7 +11298,7 @@ qquad
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="3">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top">
 <column alignment="center" valignment="top" width="15col%">
 <column alignment="center" valignment="top">
@@ -11347,7 +11336,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11358,7 +11347,7 @@ hfill
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11367,7 +11356,7 @@ hfill
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11381,7 +11370,7 @@ hfill
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11392,7 +11381,7 @@ hspace*{1em}
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11401,7 +11390,7 @@ hspace*{1em}
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11415,7 +11404,7 @@ hspace*{1em}
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11426,7 +11415,7 @@ hspace{1em}
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11435,7 +11424,7 @@ hspace{1em}
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11449,7 +11438,7 @@ hspace{1em}
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11464,7 +11453,7 @@ hspace{1em}
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11473,7 +11462,7 @@ hspace{1em}
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11487,7 +11476,7 @@ hspace{1em}
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11498,7 +11487,7 @@ hspace{1em}
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11507,7 +11496,7 @@ hspace{1em}
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11557,17 +11546,13 @@ reference "subsec:Variable-Space"
  contrary to the other sizes, because it is a negative
  space.
  There are two more negative spaces:
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="3">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="middle" width="6.8cm">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 \end_inset
 
 useful for summation operators:
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
@@ -11718,29 +11699,13 @@ Command
 
 \begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11757,11 +11722,11 @@ f_kl
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{4.5mm}{}\sum\sum f_{kl}\raisebox{-2.5mm}{}$
+\begin_inset Formula $\sum\sum f_{kl}$
 \end_inset
 
 
@@ -11771,7 +11736,7 @@ f_kl
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -11790,11 +11755,11 @@ f_kl
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{4.5mm}{}\sum\negmedspace\sum f_{kl}\raisebox{-2.5mm}{}$
+\begin_inset Formula $\sum\negmedspace\sum f_{kl}$
 \end_inset
 
 
@@ -11824,10 +11789,6 @@ Relations like for example equal signs, are always surrounded by space.
  To suppress this, the equal sign is placed into a \SpecialChar TeX
  brace.
  The following example demonstrates this:
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -11865,25 +11826,6 @@ normal equation
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
-\begin_inset Formula $\raisebox{5mm}{}$
-\end_inset
-
 equation without space
 \end_layout
 
@@ -12220,19 +12162,12 @@ hfill
  is used.
 \end_layout
 
-\begin_layout Standard
-\begin_inset VSpace -1mm
-\end_inset
-
-
-\end_layout
-
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
@@ -12257,7 +12192,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -12278,7 +12213,7 @@ cm)
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -12292,7 +12227,7 @@ cm)
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -12313,7 +12248,7 @@ mm)
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -12613,6 +12548,13 @@ mathsurround
 pt.
 \end_layout
 
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Section
 Boxes and Frames
 \begin_inset Index idx
@@ -12872,18 +12814,14 @@ framebox
 fbox
 \series default
 .
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
@@ -12900,29 +12838,13 @@ Command
 
 \begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -12947,11 +12869,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}\fbox{\ensuremath{\int A=B}}\raisebox{-4mm}{}$
+\begin_inset Formula $\fbox{\ensuremath{\int A=B}}$
 \end_inset
 
 
@@ -12960,8 +12882,8 @@ A=B
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -12982,11 +12904,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{8.5mm}{}\boxed{\int A=B}\raisebox{-6.5mm}{}$
+\begin_inset Formula $\boxed{\int A=B}$
 \end_inset
 
 
@@ -12995,8 +12917,8 @@ A=B
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}A+\fbox{B}\raisebox{-3mm}{}$
+\begin_inset Formula $A+\fbox{B}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<row topspace="1.5mm" bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}$
-\end_inset
-
-
 \begin_inset Formula $\framebox[20mm][]{\ensuremath{\frac{A}{B}}}$
 \end_inset
 
 
-\begin_inset Formula $\raisebox{-4mm}{}$
-\end_inset
-
-
 \end_layout
 
 \end_inset
@@ -13396,20 +13310,14 @@ raisebox
 \end_inset
 
 
-\series default
-
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
@@ -13432,7 +13340,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -13453,7 +13361,7 @@ raisebox{2mm
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -13467,7 +13375,7 @@ raisebox{2mm
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -13488,7 +13396,7 @@ lo
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -13779,20 +13687,14 @@ white
  and 
 \series bold
 yellow
-\series default
-
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
@@ -13809,29 +13711,13 @@ Command
 
 \begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -13848,11 +13734,11 @@ colorbox{yellow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}\colorbox{yellow}{A=B}\raisebox{-3mm}{}$
+\begin_inset Formula $\colorbox{yellow}{A=B}$
 \end_inset
 
 
@@ -13861,8 +13747,8 @@ colorbox{yellow
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -13885,11 +13771,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}\colorbox{green}{\fbox{A=B}}\raisebox{-3mm}{}$
+\begin_inset Formula $\colorbox{green}{\fbox{A=B}}$
 \end_inset
 
 
@@ -13898,8 +13784,8 @@ A=B
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<row topspace="1.5mm" bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -13936,11 +13822,11 @@ C=D
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{7mm}{}\fbox{\colorbox{green}{\mbox{\ensuremath{\int C=D}}}}\raisebox{-5mm}{}$
+\begin_inset Formula $\fbox{\colorbox{green}{\mbox{\ensuremath{\int C=D}}}}$
 \end_inset
 
 
@@ -14657,26 +14543,6 @@ linewidth
 
 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
@@ -15096,7 +14962,7 @@ Options
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -15120,7 +14986,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15143,7 +15009,7 @@ int
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15157,7 +15023,7 @@ int
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15168,7 +15034,7 @@ oint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15182,7 +15048,7 @@ oint
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15193,7 +15059,7 @@ ointctrclockwise
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15207,7 +15073,7 @@ ointctrclockwise
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15218,7 +15084,7 @@ ointclockwise
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15232,7 +15098,7 @@ ointclockwise
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15243,7 +15109,7 @@ sqint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15257,7 +15123,7 @@ sqint
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15268,7 +15134,7 @@ fint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15283,7 +15149,7 @@ fint
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15294,7 +15160,7 @@ landupint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15309,7 +15175,7 @@ landupint
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15320,7 +15186,7 @@ landdownint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15335,7 +15201,7 @@ landdownint
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15346,7 +15212,7 @@ bigcap
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15360,7 +15226,7 @@ bigcap
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15371,7 +15237,7 @@ bigcup
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15395,7 +15261,7 @@ bigcup
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -15419,7 +15285,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15442,7 +15308,7 @@ sum
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15456,7 +15322,7 @@ sum
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15492,7 +15358,7 @@ vspace{4mm}
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15506,7 +15372,7 @@ vspace{4mm}
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15517,7 +15383,7 @@ coprod
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15531,7 +15397,7 @@ coprod
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15542,7 +15408,7 @@ bigodot
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15556,7 +15422,7 @@ bigodot
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15567,7 +15433,7 @@ bigotimes
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15581,7 +15447,7 @@ bigotimes
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15592,7 +15458,7 @@ bigoplus
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15606,7 +15472,7 @@ bigoplus
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15617,7 +15483,7 @@ bigwedge
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15631,7 +15497,7 @@ bigwedge
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15642,7 +15508,7 @@ bigvee
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15656,7 +15522,7 @@ bigvee
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15667,7 +15533,7 @@ bigsqcup
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15681,7 +15547,7 @@ bigsqcup
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15692,7 +15558,7 @@ biguplus
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15863,9 +15729,9 @@ For multiple integrals there are the following commands:
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top">
-<column alignment="center" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -15881,29 +15747,13 @@ Command
 
 \begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row bottomspace="1mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15914,11 +15764,11 @@ iint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{4.5mm}{}\iint\raisebox{-2.5mm}{}$
+\begin_inset Formula $\iint$
 \end_inset
 
 
@@ -15927,8 +15777,8 @@ iint
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row bottomspace="1mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15939,11 +15789,11 @@ oiint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{4.5mm}{}\oiint\raisebox{-2.5mm}{}$
+\begin_inset Formula $\oiint$
 \end_inset
 
 
@@ -15952,8 +15802,8 @@ oiint
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<row bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -15964,11 +15814,11 @@ sqiint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{4.5mm}{}\sqiint\raisebox{-2.5mm}{}$
+\begin_inset Formula $\sqiint$
 \end_inset
 
 
@@ -15988,9 +15838,9 @@ sqiint
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top">
-<column alignment="center" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -16011,8 +15861,8 @@ Result
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row bottomspace="1mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -16023,11 +15873,11 @@ iiint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{4.5mm}{}\iiint\raisebox{-2.5mm}{}$
+\begin_inset Formula $\iiint$
 \end_inset
 
 
@@ -16036,8 +15886,8 @@ iiint
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row bottomspace="1mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -16048,11 +15898,11 @@ iiiint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{4.5mm}{}\iiiint\raisebox{-2.5mm}{}$
+\begin_inset Formula $\iiiint$
 \end_inset
 
 
@@ -16061,8 +15911,8 @@ iiiint
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<row bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -16073,11 +15923,11 @@ dotsint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{4.5mm}{}\dotsint\raisebox{-2.5mm}{}$
+\begin_inset Formula $\dotsint$
 \end_inset
 
 
@@ -16120,17 +15970,13 @@ Operators ! Limits
 
 \begin_layout Standard
 Limits are created by super- and subscripts:
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -16148,29 +15994,13 @@ Command
 
 \begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -16195,11 +16025,11 @@ A(x)
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\prod_{0}^{\infty}A(x)\raisebox{-2.5mm}{}$
+\begin_inset Formula $\prod_{0}^{\infty}A(x)$
 \end_inset
 
 
@@ -16294,7 +16124,7 @@ Display
  and so set below the integrals:
 \begin_inset Formula 
 \begin{equation}
-\iiint\limits _{V}X\,\mathrm{d}V=U\label{eq:VolInt}
+\iiint_{V}X\,\mathrm{d}V=U\label{eq:VolInt}
 \end{equation}
 
 \end_inset
@@ -16990,13 +16820,9 @@ Binary operators are surrounded by space when there is a character before
 \end_layout
 
 \begin_layout Standard
-\begin_inset space \hfill{}
-\end_inset
-
-
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -17036,7 +16862,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17045,7 +16871,7 @@ Result
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17059,7 +16885,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17068,7 +16894,7 @@ Result
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17082,7 +16908,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17093,7 +16919,7 @@ pm
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17107,7 +16933,7 @@ pm
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17118,7 +16944,7 @@ mp
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17132,7 +16958,7 @@ mp
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17143,7 +16969,7 @@ cdot
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17157,7 +16983,7 @@ cdot
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17168,7 +16994,7 @@ times
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17182,7 +17008,7 @@ times
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17193,7 +17019,7 @@ div
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17207,7 +17033,7 @@ div
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17239,7 +17065,7 @@ status collapsed
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17253,7 +17079,7 @@ status collapsed
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17264,7 +17090,7 @@ star
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17278,7 +17104,7 @@ star
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17289,7 +17115,7 @@ circ
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17303,7 +17129,7 @@ circ
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17314,7 +17140,7 @@ diamond
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17328,7 +17154,7 @@ diamond
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17339,7 +17165,7 @@ bullet
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17363,7 +17189,7 @@ bullet
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -17387,7 +17213,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17398,7 +17224,7 @@ nabla
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17412,7 +17238,7 @@ nabla
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17423,7 +17249,7 @@ bigtriangledown
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17437,7 +17263,7 @@ bigtriangledown
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17448,7 +17274,7 @@ bigtriangleup
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17462,7 +17288,7 @@ bigtriangleup
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17473,7 +17299,7 @@ Box
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17487,7 +17313,7 @@ Box
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17498,7 +17324,7 @@ cap
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17512,7 +17338,7 @@ cap
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17523,7 +17349,7 @@ cup
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17537,7 +17363,7 @@ cup
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17548,7 +17374,7 @@ dagger
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17562,7 +17388,7 @@ dagger
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17573,7 +17399,7 @@ ddagger
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17587,7 +17413,7 @@ ddagger
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17598,7 +17424,7 @@ wr
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17612,7 +17438,7 @@ wr
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17623,7 +17449,7 @@ bigcirc
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17637,7 +17463,7 @@ bigcirc
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17648,7 +17474,7 @@ wedge
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17662,7 +17488,7 @@ wedge
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17673,7 +17499,7 @@ vee
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17697,7 +17523,7 @@ vee
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -17721,7 +17547,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17732,7 +17558,7 @@ oplus
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17746,7 +17572,7 @@ oplus
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17757,7 +17583,7 @@ ominus
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17771,7 +17597,7 @@ ominus
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17782,7 +17608,7 @@ otimes
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17796,7 +17622,7 @@ otimes
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17807,7 +17633,7 @@ oslash
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17821,7 +17647,7 @@ oslash
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17832,7 +17658,7 @@ odot
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17846,7 +17672,7 @@ odot
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17857,7 +17683,7 @@ amalg
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17871,7 +17697,7 @@ amalg
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17882,7 +17708,7 @@ uplus
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17896,7 +17722,7 @@ uplus
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17907,7 +17733,7 @@ setminus
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17921,7 +17747,7 @@ setminus
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17932,7 +17758,7 @@ sqcap
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17946,7 +17772,7 @@ sqcap
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17957,7 +17783,7 @@ sqcup
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17971,7 +17797,7 @@ sqcup
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17982,7 +17808,7 @@ triangleleft
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -17996,7 +17822,7 @@ triangleleft
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18007,7 +17833,7 @@ triangleright
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18025,10 +17851,6 @@ triangleright
 \end_inset
 
 
-\begin_inset space \hfill{}
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -18397,13 +18219,10 @@ Latin letters in formulas can be set in one of the following font styles:
 
 \begin_layout Standard
 \align center
-\begin_inset space \hfill{}
-\end_inset
-
-
 \begin_inset Tabular
-<lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
+<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>
@@ -18423,11 +18242,20 @@ Command
 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>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18446,7 +18274,7 @@ ABC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18456,11 +18284,20 @@ ABC
 
 \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>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18479,7 +18316,7 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18487,13 +18324,27 @@ AbC
 \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-bold"
+\end_inset
+
+
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18512,7 +18363,7 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18520,13 +18371,27 @@ AbC
 \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
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18545,7 +18410,7 @@ ABC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18555,11 +18420,20 @@ ABC
 
 \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>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18578,7 +18452,7 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18588,6 +18462,15 @@ AbC
 
 \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>
@@ -18596,13 +18479,14 @@ AbC
 \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">
-<features tabularvalignment="middle">
+<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>
@@ -18622,11 +18506,20 @@ Command
 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>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18645,7 +18538,7 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18655,11 +18548,20 @@ AbC
 
 \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>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18678,7 +18580,7 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18686,13 +18588,27 @@ AbC
 \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
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18711,7 +18627,7 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18719,13 +18635,27 @@ AbC
 \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
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18744,7 +18674,7 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18752,13 +18682,27 @@ AbC
 \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
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18777,7 +18721,7 @@ ABC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -18789,13 +18733,18 @@ ABC
 
 \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
 
 
@@ -18877,7 +18826,8 @@ status collapsed
 \begin_inset CommandInset href
 LatexCommand href
 name "LyX-bug #4629"
-target "http://www.lyx.org/trac/ticket/4629"
+target "https://www.lyx.org/trac/ticket/4629"
+literal "false"
 
 \end_inset
 
@@ -19167,7 +19117,8 @@ status collapsed
 \begin_inset CommandInset href
 LatexCommand href
 name "LyX-bug #5269"
-target "http://www.lyx.org/trac/ticket/5269"
+target "https://www.lyx.org/trac/ticket/5269"
+literal "false"
 
 \end_inset
 
@@ -19331,10 +19282,6 @@ arg   "math-insert \\style"
 \end_inset
 
 :
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -19342,8 +19289,8 @@ arg   "math-insert \\style"
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
@@ -19360,29 +19307,13 @@ Command
 
 \begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19405,11 +19336,11 @@ displaystyle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6.5mm}{}{\displaystyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-5.5mm}{}$
+\begin_inset Formula ${\displaystyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
 \end_inset
 
 
@@ -19418,8 +19349,8 @@ displaystyle
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19430,11 +19361,11 @@ textstyle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{4.5mm}{}{\textstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-4mm}{}$
+\begin_inset Formula ${\textstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
 \end_inset
 
 
@@ -19444,7 +19375,7 @@ textstyle
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19455,11 +19386,11 @@ scriptstyle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{4.5mm}{}{\scriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-3.5mm}{}$
+\begin_inset Formula ${\scriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
 \end_inset
 
 
@@ -19469,7 +19400,7 @@ scriptstyle
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19480,11 +19411,11 @@ scriptscriptstyle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{4.5mm}{}{\scriptscriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-3.5mm}{}$
+\begin_inset Formula ${\scriptscriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
 \end_inset
 
 
@@ -19701,7 +19632,7 @@ Greek letters ! small
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -19725,7 +19656,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19736,7 +19667,7 @@ alpha
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19750,7 +19681,7 @@ alpha
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19761,7 +19692,7 @@ beta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19775,7 +19706,7 @@ beta
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19786,7 +19717,7 @@ gamma
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19800,7 +19731,7 @@ gamma
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19811,7 +19742,7 @@ delta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19825,7 +19756,7 @@ delta
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19836,7 +19767,7 @@ epsilon
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19850,7 +19781,7 @@ epsilon
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19861,7 +19792,7 @@ varepsilon
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19875,7 +19806,7 @@ varepsilon
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19886,7 +19817,7 @@ zeta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19900,7 +19831,7 @@ zeta
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19911,7 +19842,7 @@ eta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19925,7 +19856,7 @@ eta
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19936,7 +19867,7 @@ theta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19950,7 +19881,7 @@ theta
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19961,7 +19892,7 @@ vartheta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -19985,7 +19916,7 @@ vartheta
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20009,7 +19940,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20020,7 +19951,7 @@ iota
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20034,7 +19965,7 @@ iota
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20045,7 +19976,7 @@ kappa
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20059,7 +19990,7 @@ kappa
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20070,7 +20001,7 @@ varkappa
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20084,7 +20015,7 @@ varkappa
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20095,7 +20026,7 @@ lambda
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20109,7 +20040,7 @@ lambda
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20120,7 +20051,7 @@ mu
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20134,7 +20065,7 @@ mu
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20145,7 +20076,7 @@ nu
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20159,7 +20090,7 @@ nu
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20170,7 +20101,7 @@ xi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20184,7 +20115,7 @@ xi
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20218,7 +20149,7 @@ pi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20232,7 +20163,7 @@ pi
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20243,7 +20174,7 @@ varpi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20257,7 +20188,7 @@ varpi
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20268,7 +20199,7 @@ rho
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20292,7 +20223,7 @@ rho
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20316,7 +20247,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20327,7 +20258,7 @@ varrho
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20341,7 +20272,7 @@ varrho
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20352,7 +20283,7 @@ sigma
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20366,7 +20297,7 @@ sigma
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20377,7 +20308,7 @@ varsigma
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20391,7 +20322,7 @@ varsigma
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20402,7 +20333,7 @@ tau
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20416,7 +20347,7 @@ tau
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20427,7 +20358,7 @@ upsilon
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20441,7 +20372,7 @@ upsilon
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20452,7 +20383,7 @@ phi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20466,7 +20397,7 @@ phi
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20477,7 +20408,7 @@ varphi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20491,7 +20422,7 @@ varphi
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20502,7 +20433,7 @@ chi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20516,7 +20447,7 @@ chi
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20527,7 +20458,7 @@ psi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20541,7 +20472,7 @@ psi
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20552,7 +20483,7 @@ omega
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20615,7 +20546,7 @@ Greek letters ! big
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20639,7 +20570,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20650,7 +20581,7 @@ Gamma
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20664,7 +20595,7 @@ Gamma
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20675,7 +20606,7 @@ Delta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20689,7 +20620,7 @@ Delta
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20700,7 +20631,7 @@ Theta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20714,7 +20645,7 @@ Theta
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20725,7 +20656,7 @@ Lambda
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20739,7 +20670,7 @@ Lambda
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20750,7 +20681,7 @@ Xi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20764,7 +20695,7 @@ Xi
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20775,7 +20706,7 @@ Pi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20799,7 +20730,7 @@ Pi
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20823,7 +20754,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20834,7 +20765,7 @@ Sigma
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20848,7 +20779,7 @@ Sigma
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20859,7 +20790,7 @@ Upsilon
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20873,7 +20804,7 @@ Upsilon
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20884,7 +20815,7 @@ Phi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20898,7 +20829,7 @@ Phi
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20909,7 +20840,7 @@ Psi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20923,7 +20854,7 @@ Psi
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -20934,7 +20865,7 @@ Omega
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21088,18 +21019,14 @@ boldsymbol
 \end_inset
 
 .
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
@@ -21122,7 +21049,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21137,7 +21064,7 @@ Upsilon
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21151,7 +21078,7 @@ Upsilon
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21166,7 +21093,7 @@ theta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21210,6 +21137,7 @@ A list with all symbols of most of the \SpecialChar LaTeX
 \begin_inset CommandInset citation
 LatexCommand cite
 key "Symbols"
+literal "true"
 
 \end_inset
 
@@ -21306,13 +21234,9 @@ Symbols ! mathematical
 \end_layout
 
 \begin_layout Standard
-\begin_inset space \hfill{}
-\end_inset
-
-
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -21329,14 +21253,14 @@ Command
 \begin_inset Text
 
 \begin_layout Plain Layout
-Result
+Symbol
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21347,7 +21271,7 @@ neg
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21361,7 +21285,7 @@ neg
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21372,7 +21296,7 @@ Im
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21386,7 +21310,7 @@ Im
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21397,7 +21321,7 @@ Re
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21411,7 +21335,7 @@ Re
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21422,7 +21346,7 @@ aleph
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21436,7 +21360,7 @@ aleph
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21447,7 +21371,7 @@ partial
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21461,7 +21385,7 @@ partial
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21472,7 +21396,7 @@ infty
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21486,7 +21410,7 @@ infty
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21497,7 +21421,7 @@ wp
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21511,7 +21435,7 @@ wp
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21522,7 +21446,7 @@ imath
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21571,7 +21495,7 @@ jmath
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -21588,7 +21512,7 @@ Command
 \begin_inset Text
 
 \begin_layout Plain Layout
-Result
+Symbol
 \begin_inset Note Note
 status collapsed
 
@@ -21611,7 +21535,7 @@ raisebox
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21622,7 +21546,7 @@ forall
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21636,7 +21560,7 @@ forall
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21647,7 +21571,7 @@ exists
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21661,7 +21585,7 @@ exists
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21672,7 +21596,7 @@ nexists
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21686,7 +21610,7 @@ nexists
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21697,7 +21621,7 @@ emptyset
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21711,7 +21635,7 @@ emptyset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21722,7 +21646,7 @@ varnothing
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21736,7 +21660,7 @@ varnothing
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21747,7 +21671,7 @@ dag
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21761,7 +21685,7 @@ dag
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21772,7 +21696,7 @@ ddag
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21786,7 +21710,7 @@ ddag
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21797,7 +21721,7 @@ complement
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21870,7 +21794,7 @@ Bbbk
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -21887,14 +21811,14 @@ Command
 \begin_inset Text
 
 \begin_layout Plain Layout
-Result
+Symbol
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21905,7 +21829,7 @@ prime
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21919,7 +21843,7 @@ prime
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21930,7 +21854,7 @@ backprime
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21944,7 +21868,7 @@ backprime
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21955,7 +21879,7 @@ mho
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21969,7 +21893,7 @@ mho
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21980,7 +21904,7 @@ triangle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -21994,7 +21918,7 @@ triangle
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22005,7 +21929,7 @@ angle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22019,7 +21943,7 @@ angle
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22030,7 +21954,7 @@ measuredangle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22044,7 +21968,7 @@ measuredangle
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22055,7 +21979,7 @@ sphericalangle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22069,7 +21993,7 @@ sphericalangle
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22080,7 +22004,7 @@ top
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22123,17 +22047,6 @@ bot
 \end_inset
 
 
-\begin_inset space \hfill{}
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
 \end_layout
 
 \begin_layout Subsection
@@ -22162,11 +22075,11 @@ Symbols ! miscellaneous
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22179,14 +22092,14 @@ Command
 \begin_inset Text
 
 \begin_layout Plain Layout
-Result
+Symbol
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22197,7 +22110,7 @@ flat
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22211,7 +22124,7 @@ flat
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22222,7 +22135,7 @@ natural
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22236,7 +22149,7 @@ natural
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22247,7 +22160,7 @@ sharp
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22261,7 +22174,7 @@ sharp
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22272,7 +22185,7 @@ surd
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22286,7 +22199,7 @@ surd
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22297,7 +22210,7 @@ checkmark
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22311,7 +22224,7 @@ checkmark
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22322,7 +22235,7 @@ yen
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22336,7 +22249,7 @@ yen
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22347,7 +22260,7 @@ pounds
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22361,7 +22274,7 @@ pounds
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 \end_inset
 
 
+\begin_inset space \hfill{}
+\end_inset
+
+
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
@@ -22430,14 +22347,14 @@ Command
 \begin_inset Text
 
 \begin_layout Plain Layout
-Result
+Symbol
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22448,7 +22365,7 @@ hbar
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22462,7 +22379,7 @@ hbar
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22473,7 +22390,7 @@ hslash
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22487,7 +22404,7 @@ hslash
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22498,7 +22415,7 @@ clubsuit
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22512,7 +22429,7 @@ clubsuit
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22523,7 +22440,7 @@ spadesuit
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22537,7 +22454,7 @@ spadesuit
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22548,7 +22465,7 @@ bigstar
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22562,7 +22479,7 @@ bigstar
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22573,7 +22490,7 @@ blacklozenge
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22587,7 +22504,7 @@ blacklozenge
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22598,7 +22515,7 @@ blacktriangle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22612,7 +22529,7 @@ blacktriangle
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22623,7 +22540,7 @@ blacktiangledown
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22637,7 +22554,7 @@ blacktiangledown
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22648,7 +22565,7 @@ bullet
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22666,9 +22583,13 @@ bullet
 \end_inset
 
 
+\begin_inset space \hfill{}
+\end_inset
+
+
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -22685,14 +22606,14 @@ Command
 \begin_inset Text
 
 \begin_layout Plain Layout
-Result
+Symbol
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22703,7 +22624,7 @@ diamondsuit
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22717,7 +22638,7 @@ diamondsuit
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22728,7 +22649,7 @@ Diamond
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22742,7 +22663,7 @@ Diamond
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22753,7 +22674,7 @@ heartsuit
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22767,7 +22688,7 @@ heartsuit
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22803,7 +22724,7 @@ copyright
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22817,7 +22738,7 @@ copyright
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22828,7 +22749,7 @@ circledR
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22842,7 +22763,7 @@ circledR
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22853,7 +22774,7 @@ maltese
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22867,7 +22788,7 @@ maltese
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -22878,7 +22799,7 @@ diagup
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23104,31 +23025,39 @@ eurosym
 
 \begin_layout Standard
 An overview about the different Euro symbols:
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="3">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
-<cell multicolumn="1" alignment="center" valignment="top" bottomline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+cmidrule[0.08em]{2-3}
+\end_layout
+
+\end_inset
+
 
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23137,18 +23066,18 @@ Command
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-Result
+Symbol
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23157,7 +23086,7 @@ formula
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23168,7 +23097,7 @@ euro
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23182,7 +23111,7 @@ euro
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23191,7 +23120,7 @@ mathematical text
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23200,7 +23129,7 @@ mathematical text
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23214,7 +23143,7 @@ mathematical text
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23224,7 +23153,7 @@ mathematical text
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23235,7 +23164,7 @@ officialeuro
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23262,6 +23191,32 @@ officialeuro
 \end_inset
 
 
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+
+\series bold
+
+\backslash
+cmidrule
+\series default
+ is used here only for table borders.
+ See sec.
+\family sans
+Formal Tables
+\family default
+ of the 
+\emph on
+EmbeddedObjects
+\emph default
+ manual for details.
+\end_layout
+
+\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
@@ -23391,13 +23339,9 @@ arg   "math-insert \\leq"
 \end_layout
 
 \begin_layout Standard
-\begin_inset space \hfill{}
-\end_inset
-
-
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -23414,14 +23358,14 @@ Command
 \begin_inset Text
 
 \begin_layout Plain Layout
-Result
+Relation
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23430,7 +23374,7 @@ Result
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23444,7 +23388,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23455,7 +23399,7 @@ le
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23469,7 +23413,7 @@ le
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23480,7 +23424,7 @@ ll
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23494,7 +23438,7 @@ ll
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23505,7 +23449,7 @@ prec
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23519,7 +23463,7 @@ prec
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23530,7 +23474,7 @@ preceq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23544,7 +23488,7 @@ preceq
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23555,7 +23499,7 @@ subset
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23569,7 +23513,7 @@ subset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23580,7 +23524,7 @@ subseteq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23594,7 +23538,7 @@ subseteq
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23605,7 +23549,7 @@ sqsubseteq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23619,7 +23563,7 @@ sqsubseteq
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23630,7 +23574,7 @@ in
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23644,7 +23588,7 @@ in
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23655,7 +23599,7 @@ vdash
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23669,7 +23613,7 @@ vdash
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23680,7 +23624,7 @@ smile
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23694,7 +23638,7 @@ smile
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23705,7 +23649,7 @@ lhd
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23719,7 +23663,7 @@ lhd
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23730,7 +23674,7 @@ unlhd
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23744,7 +23688,7 @@ unlhd
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23755,7 +23699,7 @@ gtrless
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23769,7 +23713,7 @@ gtrless
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23780,7 +23724,7 @@ mid
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23794,7 +23738,7 @@ mid
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23805,7 +23749,7 @@ nmid
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23829,7 +23773,7 @@ nmid
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -23846,14 +23790,14 @@ Command
 \begin_inset Text
 
 \begin_layout Plain Layout
-Result
+Relation
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23862,7 +23806,7 @@ Result
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23876,7 +23820,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23887,7 +23831,7 @@ not=
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23901,7 +23845,7 @@ not=
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23912,7 +23856,7 @@ equiv
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23926,7 +23870,7 @@ equiv
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23937,7 +23881,7 @@ sim
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23951,7 +23895,7 @@ sim
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23962,7 +23906,7 @@ simeq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23976,7 +23920,7 @@ simeq
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -23987,7 +23931,7 @@ approx
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24001,7 +23945,7 @@ approx
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24012,7 +23956,7 @@ cong
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24026,7 +23970,7 @@ cong
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24037,7 +23981,7 @@ bowtie
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24051,7 +23995,7 @@ bowtie
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24062,7 +24006,7 @@ notin
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24076,7 +24020,7 @@ notin
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24087,7 +24031,7 @@ perp
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24101,7 +24045,7 @@ perp
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24112,7 +24056,7 @@ propto
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24126,7 +24070,7 @@ propto
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24137,7 +24081,7 @@ asymp
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24151,7 +24095,7 @@ asymp
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24162,7 +24106,7 @@ doteq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24176,7 +24120,7 @@ doteq
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24187,7 +24131,7 @@ circeq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24201,7 +24145,7 @@ circeq
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24212,7 +24156,7 @@ models
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24226,7 +24170,7 @@ models
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24237,7 +24181,7 @@ widehat=
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24261,7 +24205,7 @@ widehat=
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -24278,14 +24222,14 @@ Command
 \begin_inset Text
 
 \begin_layout Plain Layout
-Result
+Relation
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24294,7 +24238,7 @@ Result
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24308,7 +24252,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24319,7 +24263,7 @@ ge
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24333,7 +24277,7 @@ ge
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24344,7 +24288,7 @@ gg
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24358,7 +24302,7 @@ gg
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24369,7 +24313,7 @@ succ
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24383,7 +24327,7 @@ succ
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24394,7 +24338,7 @@ succeq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24408,7 +24352,7 @@ succeq
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24419,7 +24363,7 @@ supset
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24433,7 +24377,7 @@ supset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24444,7 +24388,7 @@ supseteq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24458,7 +24402,7 @@ supseteq
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24469,7 +24413,7 @@ sqsupseteq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24483,7 +24427,7 @@ sqsupseteq
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24494,7 +24438,7 @@ ni
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24508,7 +24452,7 @@ ni
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24519,7 +24463,7 @@ dashv
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24533,7 +24477,7 @@ dashv
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24544,7 +24488,7 @@ frown
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24558,7 +24502,7 @@ frown
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24569,7 +24513,7 @@ rhd
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24583,7 +24527,7 @@ rhd
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24594,7 +24538,7 @@ unrhd
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24608,7 +24552,7 @@ unrhd
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24619,7 +24563,7 @@ lessgtr
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24633,7 +24577,7 @@ lessgtr
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24644,7 +24588,7 @@ parallel
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24658,7 +24602,7 @@ parallel
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24669,7 +24613,7 @@ nparallel
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24687,10 +24631,6 @@ nparallel
 \end_inset
 
 
-\begin_inset space \hfill{}
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -24760,18 +24700,14 @@ stackrel
 \end_inset
 
 :
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
@@ -24788,29 +24724,13 @@ Command
 
 \begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}A(r)\stackrel{r\to\infty}{\approx}B$
+\begin_inset Formula $A(r)\stackrel{r\to\infty}{\approx}B$
 \end_inset
 
 
@@ -24906,26 +24826,20 @@ italic
 \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 parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
-<lyxtabular version="3" rows="2" columns="4">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0pt">
-<column alignment="center" valignment="top" width="0pt">
+<lyxtabular version="3" rows="2" columns="2">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24934,7 +24848,7 @@ Command
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24943,48 +24857,66 @@ Result
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-Command
+Asin(x)+B
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-Result
+\begin_inset Formula $Asin(x)+B$
+\end_inset
+
+
 \end_layout
 
 \end_inset
 </cell>
 </row>
+</lyxtabular>
+
+\end_inset
+
+
+\begin_inset space \quad{}
+\end_inset
+
+
+\begin_inset Tabular
+<lyxtabular version="3" rows="2" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-Asin(x)+B
+Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $Asin(x)+B$
-\end_inset
-
-
+Result
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -24995,7 +24927,7 @@ sin(x)+B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25030,7 +24962,7 @@ The following functions are predefined:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="4">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
@@ -25074,7 +25006,7 @@ Command
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25085,7 +25017,7 @@ sin
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25096,7 +25028,7 @@ sinh
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25107,7 +25039,7 @@ arcsin
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25120,7 +25052,7 @@ sup
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25131,7 +25063,7 @@ cos
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25142,7 +25074,7 @@ cosh
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25153,7 +25085,7 @@ arccos
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25166,7 +25098,7 @@ inf
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25177,7 +25109,7 @@ tan
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25188,7 +25120,7 @@ tanh
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25199,7 +25131,7 @@ arctan
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25212,7 +25144,7 @@ lim
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25223,7 +25155,7 @@ cot
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25234,7 +25166,7 @@ coth
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25245,7 +25177,7 @@ arg
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25258,7 +25190,7 @@ liminf
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25269,7 +25201,7 @@ sec
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25280,7 +25212,7 @@ min
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25291,7 +25223,7 @@ deg
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25304,7 +25236,7 @@ limsup
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25315,7 +25247,7 @@ csc
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25326,7 +25258,7 @@ max
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25337,7 +25269,7 @@ det
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25350,7 +25282,7 @@ Pr
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25361,7 +25293,7 @@ ln
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25372,7 +25304,7 @@ exp
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25383,7 +25315,7 @@ dim
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25396,7 +25328,7 @@ hom
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25407,7 +25339,7 @@ lg
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25418,7 +25350,7 @@ log
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25429,7 +25361,7 @@ ker
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25580,17 +25512,13 @@ In \SpecialChar LyX
 \end_inset
 
 :
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -25614,7 +25542,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25625,7 +25553,7 @@ sgn(x)+B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25725,19 +25653,15 @@ liminf
 limsup
 \series default
  the following functions are defined:
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top">
-<column alignment="center" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -25753,29 +25677,13 @@ Command
 
 \begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25786,7 +25694,7 @@ varliminf
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25799,8 +25707,8 @@ varliminf
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25824,8 +25732,8 @@ varlimsup
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25849,8 +25757,8 @@ varprojlim
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<row topspace="1.5mm" bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25869,10 +25777,6 @@ varinjlim
 \end_inset
 
 
-\begin_inset Formula $\raisebox{-2.5mm}{}$
-\end_inset
-
-
 \end_layout
 
 \end_inset
@@ -25897,11 +25801,11 @@ The limit is created by inserting a subscript.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
-<cell alignment="center" valignment="top" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -25910,31 +25814,11 @@ Command
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset space \hspace{}
-\length 1cm
-\end_inset
-
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-The space and
-\series bold
-\backslash
-raisebox
-\series default
- are used here as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
@@ -25966,7 +25850,7 @@ x=B
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\hspace{1cm}\raisebox{5mm}{}\lim_{x\to A}x=B$
+\begin_inset Formula $\lim_{x\to A}x=B$
 \end_inset
 
 
@@ -26082,10 +25966,6 @@ The characters ^ and _ would normally create a superscript and subscript,
  To get these characters you have to insert them with a leading 
 \backslash
 :
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -26093,11 +25973,11 @@ The characters ^ and _ would normally create a superscript and subscript,
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<column alignment="block" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="left" valignment="top" width="0pt">
 <column alignment="block" valignment="top">
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26117,7 +25997,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26132,7 +26012,7 @@ Result
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26146,7 +26026,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26193,11 +26073,11 @@ The following commands can only be used in mathematical text or in \SpecialChar
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
-<column alignment="block" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="left" valignment="top" width="0pt">
 <column alignment="block" valignment="top">
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26217,7 +26097,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26228,7 +26108,7 @@ oe
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26242,7 +26122,7 @@ oe
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26253,7 +26133,7 @@ OE
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26267,7 +26147,7 @@ OE
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26278,7 +26158,7 @@ ae
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26292,7 +26172,7 @@ ae
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26303,7 +26183,7 @@ AE
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26317,7 +26197,7 @@ AE
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\textrm{\aa}$
+\begin_inset Formula $\textrm{å}$
 \end_inset
 
 
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \backslash
 AA
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-
-\backslash
-@
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-textrm{
-\backslash
-AA}
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\textrm{}$
+\begin_inset Formula $\textrm{Å}$
 \end_inset
 
 
@@ -26394,7 +26247,7 @@ AA}
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
-<column alignment="block" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="left" valignment="top" width="0pt">
 <column alignment="center" valignment="top">
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-command
+Command
 \begin_inset Note Note
 status collapsed
 
@@ -26468,7 +26321,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \begin_layout Standard
 The characters 
-\begin_inset Formula $\textrm{\textrm{Å}}$
+\begin_inset Formula $\textrm{Å}$
 \end_inset
 
  and 
-\begin_inset Formula $\textrm{\textrm{Ø}}$
+\begin_inset Formula $\textrm{Ø}$
 \end_inset
 
  can also be inserted via the math toolbar button 
@@ -26742,11 +26595,11 @@ With the following commands all letters can be accented.
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
-<column alignment="block" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="left" valignment="top" width="0pt">
 <column alignment="block" valignment="top">
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26766,7 +26619,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26804,7 +26657,7 @@ status collapsed
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26815,7 +26668,7 @@ status collapsed
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26838,7 +26691,7 @@ status collapsed
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26876,7 +26729,7 @@ status collapsed
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26887,7 +26740,7 @@ status collapsed
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26910,7 +26763,7 @@ status collapsed
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26948,7 +26801,7 @@ u e
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -26986,7 +26839,7 @@ b e
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -27034,11 +26887,11 @@ t ee
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
-<column alignment="block" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="left" valignment="top" width="0pt">
 <column alignment="center" valignment="top">
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -27058,7 +26911,7 @@ Result
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -27096,7 +26949,7 @@ H e
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -27107,7 +26960,7 @@ H e
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -27130,7 +26983,7 @@ status collapsed
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -27151,7 +27004,7 @@ Tilde
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -27174,7 +27027,7 @@ status collapsed
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -27185,7 +27038,7 @@ status collapsed
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -27208,7 +27061,7 @@ status collapsed
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -27246,7 +27099,7 @@ v e
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -27284,7 +27137,7 @@ d e
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -27500,8 +27353,8 @@ textcircled
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
@@ -27518,29 +27371,13 @@ Command
 
 \begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -27551,7 +27388,7 @@ textcircled{w}
 
 \end_inset
 </cell>
-<cell multicolumn="1" alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell multicolumn="1" alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -27573,8 +27410,8 @@ textcircled{w}
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<row topspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
@@ -27593,14 +27430,10 @@ raisebox{-1.5pt}{W}}
 
 \end_inset
 </cell>
-<cell multicolumn="1" alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell multicolumn="1" alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\raisebox{4.5mm}{}$
-\end_inset
-
-
 \begin_inset ERT
 status collapsed
 
@@ -27622,10 +27455,6 @@ raisebox{-1.5pt}W}
 \end_inset
 
 
-\begin_inset Formula $\raisebox{-2mm}{}$
-\end_inset
-
-
 \end_layout
 
 \end_inset
@@ -27743,7 +27572,7 @@ The command
 \series bold
 
 \backslash
-oldstylenums{0123456789
+oldstylenums{0123456789}
 \series default
  produces: 
 \begin_inset Formula $\oldstylenums{0123456789}$
@@ -27775,34 +27604,26 @@ Formula ! styles
 
 \begin_layout Itemize
 There are two different alignment styles:
-\begin_inset Separator parbreak
-\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
@@ -27810,98 +27631,38 @@ When
 \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 parbreak
-\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,
@@ -27956,27 +27717,27 @@ arg   "newline-insert newline"
  inside a formula.
  This creates either an 
 \series bold
-eqnarray environment
+align environment
 \series default
  that is described in 
 \begin_inset CommandInset ref
 LatexCommand ref
-reference "subsec:Eqnarray-Environment"
+reference "subsec:Standard-align-Environment"
 
 \end_inset
 
- or, when the option 
+ or, when automatically loading the package
 \family sans
-Use AMS math package
+ AMS math
 \family default
- in the document settings is selected, an 
+ is disabled in the document settings, an 
 \series bold
-align environment
+eqnarray environment
 \series default
  that is described in 
 \begin_inset CommandInset ref
 LatexCommand ref
-reference "subsec:Standard-align-Environment"
+reference "subsec:Eqnarray-Environment"
 
 \end_inset
 
@@ -28008,13 +27769,13 @@ arg   "newline-insert newline"
  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 
@@ -28073,7 +27834,8 @@ see
 \begin_inset CommandInset href
 LatexCommand href
 name "LyX-bug #1505"
-target "http://www.lyx.org/trac/ticket/1505"
+target "https://www.lyx.org/trac/ticket/1505"
+literal "false"
 
 \end_inset
 
@@ -28460,6 +28222,13 @@ C & \ne & A
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsubsection
@@ -28642,7 +28411,8 @@ status collapsed
 \begin_inset CommandInset href
 LatexCommand href
 name "LyX-bug #1429"
-target "http://www.lyx.org/trac/ticket/1429"
+target "https://www.lyx.org/trac/ticket/1429"
+literal "false"
 
 \end_inset
 
@@ -29017,13 +28787,13 @@ Change Formula Type
 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 
@@ -29243,7 +29013,7 @@ reference "eq:VolInt"
 :
 \begin_inset Formula 
 \begin{flalign}
-\hspace{30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}
+\hspace{30pt}\iiint_{V}X\,\mathrm{d}V & =U & {}
 \end{flalign}
 
 \end_inset
@@ -29969,13 +29739,11 @@ Numbered
 Formula
 \family default
  (shortcut 
-\family sans
-Ctrl+Alt
-\begin_inset space ~
+\begin_inset Info
+type  "shortcuts"
+arg   "command-sequence math-display; math-number-toggle;"
 \end_inset
 
-N
-\family default
 ).
  Existing formulas can be numbered with the menu 
 \family sans
@@ -30250,63 +30018,50 @@ Formula numbering ! subnumbering
 \end_layout
 
 \begin_layout Standard
-With the help of the commands 
-\series bold
-
-\backslash
-begin{subequations}
-\series default
- and 
-\series bold
-
-\backslash
-end{subequations}
-\series default
- formulas can be subnumbered.
- Both commands are inserted in \SpecialChar TeX
- mode.
+Formulas can be numbered as subequations.
+ To activate this feature, add the module 
+\family sans
+Subequations
+\family default
+ to the document in the menu 
+\family sans
+Document\SpecialChar menuseparator
+Settings\SpecialChar menuseparator
+Modules
+\family default
+.
+ To insert subequations use the menu 
+\family sans
+Insert\SpecialChar menuseparator
+Custom Insets\SpecialChar menuseparator
+Subequations
+\family default
+.
 \end_layout
 
 \begin_layout Standard
-An example:
+The equations to be subnumbered are put into the 
+\family sans
+Subequations
+\family default
+ inset.
+ 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
-
+\begin_inset VSpace -5mm
 \end_inset
 
 
-\begin_inset ERT
-status collapsed
+\begin_inset Flex Subequations
+status open
 
 \begin_layout Plain Layout
-
-
-\backslash
-begin{subequations}
-\end_layout
-
-\end_inset
-
-
-\begin_inset VSpace -5mm
-\end_inset
-
-
 \begin_inset Formula 
 \begin{equation}
 B=C-A\label{eq:b}
@@ -30325,119 +30080,23 @@ C=A+B\label{eq:c}
 
 \end_layout
 
-\begin_layout Standard
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-end{subequations}
-\end_layout
-
 \end_inset
 
 
 \end_layout
 
 \begin_layout Standard
-To create the example, the following is done:
-\end_layout
-
-\begin_layout Enumerate
-first formula is inserted
-\end_layout
-
-\begin_layout Enumerate
-
-\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
-
-
-\series default
-is inserted after the first formula
-\end_layout
-
-\begin_layout Enumerate
-second formula is inserted
-\end_layout
-
-\begin_layout Enumerate
-third formula is inserted
-\end_layout
-
-\begin_layout Enumerate
-
-\series bold
-
-\backslash
-end{subequations}
-\series default
- is inserted after the third formula
+Every formula in the 
+\family sans
+Subequations
+\family default
+ inset will be subnumbered with a, b, c, \SpecialChar ldots
+ in the output.
+ For multiline formulas every line will be subnumbered.
 \end_layout
 
 \begin_layout Standard
-Every formula between the commands 
-\series bold
-
-\backslash
-begin
-\series default
- and 
-\series bold
-
-\backslash
-end
-\series default
- is subnumbered as a, b, 
-\begin_inset Newline linebreak
-\end_inset
-
-c, \SpecialChar ldots
- 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
-
-, 
+Referencing subequations work like for normal equations: 
 \begin_inset CommandInset ref
 LatexCommand eqref
 reference "eq:b"
@@ -30451,46 +30110,38 @@ reference "eq:c"
 
 \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
+ as first thing in the 
+\family sans
+Subequations
+\family default
+ inset.
+ Formula 
 \begin_inset CommandInset ref
 LatexCommand eqref
-reference "eq:f"
+reference "eq:Here-is-an"
+plural "false"
+caps "false"
+noprefix "false"
 
 \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.
- To revert this -5
+By inserting subequations vertical space is added before it.
+ To remove this, insert -5
 \begin_inset space \thinspace{}
 \end_inset
 
-mm vertical space is inserted after the command 
-\series bold
-
-\backslash
-begin{subequations}
-\series default
-.
- When the formula style 
+mm vertical space right before the 
+\family sans
+Subequations
+\family default
+ inset.
+ If the formula style 
 \series bold
 Indented
 \begin_inset Foot
@@ -30511,47 +30162,104 @@ reference "sec:Formula-Styles"
 
 
 \series default
- is used, -7
+ is used, insert -7
 \begin_inset space \thinspace{}
 \end_inset
 
-mm space is inserted instead.
+mm space instead.
 \end_layout
 
 \begin_layout Standard
-Here is an example for a multiline formula where the numbering was turned
- off for the second line:
-\begin_inset ERT
-status collapsed
+To get another subnumber instead of small Latin letters, insert this command
+ as \SpecialChar TeX
+ code before the equations in the 
+\family sans
+Subequations
+\family default
+ inset:
+\end_layout
 
-\begin_layout Plain Layout
+\begin_layout Standard
 
+\series bold
 
 \backslash
-begin{subequations}
+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_inset Formula 
-\begin{eqnarray}
-A & = & (B-Z)^{2}=(B-Z)(B-Z)\label{eq:d}\\
- & = & B^{2}-ZB-BZ+Z^{2}\nonumber \\
- & = & B^{2}-2BZ+Z^{2}\label{eq:f}
-\end{eqnarray}
+\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 Flex Subequations
+status open
+
+\begin_layout Plain Layout
+\begin_inset CommandInset label
+LatexCommand label
+name "eq:Here-is-an"
 
 \end_inset
 
 
 \begin_inset ERT
-status collapsed
+status open
 
 \begin_layout Plain Layout
 
 
 \backslash
-end{subequations}
+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)\\
+ & = & B^{2}-ZB-BZ+Z^{2}\nonumber \\
+ & = & B^{2}-2BZ+Z^{2}
+\end{eqnarray}
+
+\end_inset
+
+
 \end_layout
 
 \end_inset
@@ -30560,10 +30268,10 @@ end{subequations}
 \end_layout
 
 \begin_layout Subsection
-User-defined Numbering
+Numbering with Roman Numbers and Letters
 \begin_inset CommandInset label
 LatexCommand label
-name "subsec:User-defined-Numbering"
+name "subsec:Numbering-with-Roman"
 
 \end_inset
 
@@ -30572,28 +30280,27 @@ name "subsec:User-defined-Numbering"
 status collapsed
 
 \begin_layout Plain Layout
-Formula numbering ! user-defined
+Formula numbering ! with letters
 \end_layout
 
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
 \begin_inset Index idx
 status collapsed
 
 \begin_layout Plain Layout
-Formula numbering ! self-defined delimiters
+Formula numbering ! with Roman numbers
 \end_layout
 
 \end_inset
 
-With the standard numbering parentheses are set around the formula number.
- To replace the parentheses for example by vertical bars, the following
- line is added to the \SpecialChar LaTeX
--preamble:
+
+\end_layout
+
+\begin_layout Standard
+Formulas can also be numbered with Roman numbers and Latin letters.
+ To number for example with small Roman numbers, the command
 \end_layout
 
 \begin_layout Standard
@@ -30601,223 +30308,335 @@ With the standard numbering parentheses are set around the formula number.
 \series bold
 
 \backslash
-def
+renewcommand{
 \backslash
-tagform@#1{
+theequation}{
 \backslash
-maketag@@@{|#1|}}
+roman{equation}}
+\end_layout
+
+\begin_layout Standard
+is inserted before the formula in \SpecialChar TeX
+ mode.
+\series bold
+
+\backslash
+renewcommand
 \series default
 
-\begin_inset Note Note
+\begin_inset Index idx
 status collapsed
 
 \begin_layout Plain Layout
-This macro is already declared in the \SpecialChar LaTeX
--preamble for testing.
- To activate it, remove the percent sign at the beginning.
+Commands ! R ! 
+\backslash
+renewcommand
 \end_layout
 
 \end_inset
 
+ redefines the predefined command 
+\series bold
 
-\end_layout
+\backslash
+theequation
+\series default
+ to the command 
+\series bold
 
-\begin_layout Standard
-To use other characters, the vertical bars besides the 
+\backslash
+roman{equation}
+\series default
+.
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+The command 
 \series bold
-#1
+
+\backslash
+renewcommand
 \series default
- are replaced by one ore more characters.
- To get only the formula number the vertical bars are omitted.
+ has the same scheme like the command 
+\series bold
+
+\backslash
+newcommand
+\series default
+ that is described in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:The-Command-newcommand"
+
+\end_inset
+
+.
 \end_layout
 
-\begin_layout Standard
-\begin_inset VSpace bigskip
 \end_inset
 
-When there should be an expression of your choice instead of the consecutive
- formula number in parentheses behind the formula, the command 
+\series bold
+equation
+\series default
+ is the formula counter.
+ When the command 
 \series bold
 
 \backslash
-tag
+the
 \series default
+ is used as prefix for a counter, the value of the counter is output as
+ Arabic number.
+ When a formula is numbered, \SpecialChar LaTeX
+ sets internally the command 
+\series bold
 
+\backslash
+theequation
+\series default
+ behind the formula.
+\series bold
+
+\backslash
+roman{equation}
 \begin_inset Index idx
 status collapsed
 
 \begin_layout Plain Layout
-Commands ! T ! 
+Commands ! R ! 
 \backslash
-tag
+roman
 \end_layout
 
 \end_inset
 
- is used:
-\begin_inset Formula 
-\begin{equation}
-A+B=C\tag{something}\label{eq:tag}
-\end{equation}
 
-\end_inset
+\series default
+ outputs the counter as small Roman number.
+\end_layout
 
-In this example the command 
+\begin_layout Standard
+All formulas behind the command 
 \series bold
 
 \backslash
-tag
-\begin_inset space \textvisiblespace{}
-\end_inset
-
-something
+renew
 \series default
- was inserted in the formula.
-\end_layout
+c
+\series bold
+ommand
+\series default
+ are now numbered Roman.
+ To switch to numbering with big Roman numbers, the command is inserted
+ again, but 
+\series bold
 
-\begin_layout Standard
-When the command 
+\backslash
+roman
+\series default
+ is replaced by 
 \series bold
 
 \backslash
-tag*
-\begin_inset space \textvisiblespace{}
+Roman
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! R ! 
+\backslash
+roman@
+\backslash
+Roman
+\end_layout
+
 \end_inset
 
-something
-\series default
- is inserted instead, the star prevents the parentheses around the expression:
-\begin_inset Formula 
-\[
-A+B=C\tag*{something}
-\]
+.
+ To 
+\begin_inset Quotes eld
+\end_inset
 
+number
+\begin_inset Quotes erd
 \end_inset
 
+ with small Latin letters there is the command 
+\series bold
 
-\end_layout
+\backslash
+alph
+\series default
 
-\begin_layout Standard
-\begin_inset VSpace bigskip
-\end_inset
+\begin_inset Index idx
+status collapsed
 
-To restart the formula numbering with new document parts or sections, the
- following command is used:
+\begin_layout Plain Layout
+Commands ! A ! 
+\backslash
+alph
 \end_layout
 
-\begin_layout Standard
+\end_inset
 
+, for big ones there is the command 
 \series bold
 
 \backslash
-@addtoreset{equation}{part}
+Alph
 \series default
 
 \begin_inset Index idx
 status collapsed
 
 \begin_layout Plain Layout
-Commands ! 
-\begin_inset ERT
-status collapsed
+Commands ! A ! 
+\backslash
+alph@
+\backslash
+Alph
+\end_layout
+
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
 
 \begin_layout Plain Layout
 
-"
+\series bold
+Note:
+\series default
+ Only maximal 26
+\begin_inset space ~
+\end_inset
+
+formulas can be numbered with Latin letters in one document.
 \end_layout
 
 \end_inset
 
-@
+
+\end_layout
+
+\begin_layout Standard
 \begin_inset ERT
 status collapsed
 
 \begin_layout Plain Layout
 
-"
+
+\backslash
+renewcommand{
+\backslash
+theequation}{
+\backslash
+roman{equation}}
 \end_layout
 
 \end_inset
 
- ! 
-\backslash
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\begin{equation}
+A=\textrm{small roman}
+\end{equation}
+
+\end_inset
+
 
 \begin_inset ERT
 status collapsed
 
 \begin_layout Plain Layout
 
-"
+
+\backslash
+renewcommand{
+\backslash
+theequation}{
+\backslash
+Roman{equation}}
 \end_layout
 
 \end_inset
 
-@
+
+\begin_inset Formula 
+\begin{equation}
+B=\textrm{big Roman}\label{eq:Rom}
+\end{equation}
+
+\end_inset
+
+
 \begin_inset ERT
 status collapsed
 
 \begin_layout Plain Layout
 
-"
-\end_layout
 
-\end_inset
-
-addtoreset
+\backslash
+renewcommand{
+\backslash
+theequation}{
+\backslash
+alph{equation}}
 \end_layout
 
 \end_inset
 
 
-\begin_inset Newline newline
-\end_inset
+\begin_inset Formula 
+\begin{equation}
+C=\textrm{small Latin}
+\end{equation}
 
-resp.
-\begin_inset Newline newline
 \end_inset
 
 
-\series bold
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
 
 \backslash
-@addtoreset{equation}{section}
+renewcommand{
+\backslash
+theequation}{
+\backslash
+Alph{equation}}
 \end_layout
 
-\begin_layout Standard
-To be able to use these commands in \SpecialChar TeX
- mode, the 
-\begin_inset Quotes eld
 \end_inset
 
-@
-\begin_inset Quotes erd
-\end_inset
 
- character has to be made 
-\begin_inset Quotes eld
-\end_inset
+\begin_inset Formula 
+\begin{equation}
+D=\textrm{big Latin}\label{eq:Lat}
+\end{equation}
 
-active
-\begin_inset Quotes erd
 \end_inset
 
- for \SpecialChar LaTeX
- using the command 
-\series bold
-
-\backslash
-makeatletter.
 
-\series default
- The command 
-\series bold
+\end_layout
 
-\backslash
-makeatother
-\series default
- reverts this.
- So the command sequence in \SpecialChar TeX
- mode is:
+\begin_layout Standard
+To switch back to the default numbering, insert the command:
 \end_layout
 
 \begin_layout Standard
@@ -30825,78 +30644,86 @@ makeatother
 \series bold
 
 \backslash
-makeatletter
-\begin_inset Newline newline
-\end_inset
-
+renewcommand{
+\backslash
+theequation}{
+\backslash
+arabic{equation}}
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! A ! 
 \backslash
-@addtoreset{equation}{section}
-\begin_inset Newline newline
+arabic
+\end_layout
+
 \end_inset
 
 
-\backslash
-makeatother
 \end_layout
 
 \begin_layout Standard
-In the \SpecialChar LaTeX
--preamble 
-\series bold
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
 
-\backslash
-makeatletter
-\series default
- and 
-\series bold
 
 \backslash
-makeatother
-\series default
- can be omitted as they are automatically internally inserted by \SpecialChar LyX
-.
+renewcommand{
+\backslash
+theequation}{
+\backslash
+arabic{equation}}
 \end_layout
 
-\begin_layout Standard
-To revert 
-\series bold
-
-\backslash
-@addtoreset
-\series default
-, the file 
-\series bold
-remreset.sty
-\series default
+\end_inset
 
-\begin_inset Foot
-status collapsed
 
-\begin_layout Plain Layout
+\begin_inset Formula 
+\begin{equation}
+E=\textrm{Arabic}
+\end{equation}
 
-\series bold
-remreset
-\series default
- is part of the \SpecialChar LaTeX
--package 
-\series bold
-carlisle
-\series default
+\end_inset
 
-\begin_inset Index idx
-status collapsed
 
-\begin_layout Plain Layout
-Packages ! carlisle
 \end_layout
 
+\begin_layout Standard
+\begin_inset VSpace medskip
 \end_inset
 
- that is part of every \SpecialChar LaTeX
- standard installation.
+As you see, formulas are numbered serially independent from the numbering
+ style.
+ When then numbering should start with 
+\begin_inset Quotes eld
+\end_inset
+
+1
+\begin_inset Quotes erd
+\end_inset
+
+ when the style is changed, new equation counters have to be defined.
+ A description about this can be found in the file 
+\begin_inset CommandInset href
+LatexCommand href
+name "Formula-numbering.lyx"
+target "run:Formula-numbering.lyx"
+literal "false"
+
+\end_inset
+
+.
 \end_layout
 
+\begin_layout Subsection
+User-defined Numbering
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:User-defined-Numbering"
+
 \end_inset
 
 
@@ -30904,222 +30731,215 @@ Packages ! carlisle
 status collapsed
 
 \begin_layout Plain Layout
-Packages ! remreset
+Formula numbering ! user-defined
 \end_layout
 
 \end_inset
 
- has to be loaded in the \SpecialChar LaTeX
--preamble with the line
+
 \end_layout
 
 \begin_layout Standard
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
 
 \series bold
+Note:
+\series default
+ If the document language is a right-to-left language such as Arabic, you
+ must add this to the to the \SpecialChar LaTeX
+-preamble to be able to use the commands described
+ in this section:
+\begin_inset Newline newline
+\end_inset
 
-\backslash
-usepackage{remreset}
-\end_layout
 
-\begin_layout Standard
-Then the command 
 \series bold
 
 \backslash
-@removefromreset
-\series default
+AtBeginDocument{
+\begin_inset Newline newline
+\end_inset
 
-\begin_inset Index idx
-status collapsed
 
-\begin_layout Plain Layout
-Commands ! 
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
 
 \begin_layout Plain Layout
 
-"
-\end_layout
-
+\series bold
+\begin_inset space ~
 \end_inset
 
-@
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
 
-"
 \end_layout
 
 \end_inset
 
- ! 
+
+\backslash
+def
+\backslash
+tagform@#1{
+\backslash
+maketag@@@{(
 \backslash
+ignorespaces#1
+\backslash
+unskip)}} }
+\end_layout
 
-\begin_inset ERT
-status collapsed
+\end_inset
 
-\begin_layout Plain Layout
 
-"
 \end_layout
 
-\end_inset
-
-@
-\begin_inset ERT
+\begin_layout Standard
+\begin_inset Index idx
 status collapsed
 
 \begin_layout Plain Layout
-
-"
+Formula numbering ! self-defined delimiters
 \end_layout
 
 \end_inset
 
-removefromreset
+With the standard numbering parentheses are set around the formula number.
+ To replace the parentheses for example by vertical bars, the following
+ line is added to the \SpecialChar LaTeX
+-preamble:
 \end_layout
 
-\end_inset
+\begin_layout Standard
 
- can be used with the same scheme as 
 \series bold
 
 \backslash
-@addtoreset
-\series default
-.
-\end_layout
-
-\begin_layout Standard
-\begin_inset VSpace bigskip
+AtBeginDocument{
+\begin_inset Newline newline
 \end_inset
 
-Sometimes formulas should be numbered in the following form:
-\end_layout
 
-\begin_layout Standard
+\begin_inset Phantom HPhantom
+status open
 
-\family typewriter
-(section number.formula number)
-\end_layout
+\begin_layout Plain Layout
 
-\begin_layout Standard
-The formula number should start with every section with 
-\begin_inset Quotes eld
+\series bold
+\begin_inset space ~
 \end_inset
 
-1
-\begin_inset Quotes erd
-\end_inset
 
-.
 \end_layout
 
-\begin_layout Standard
-For this case there is the command 
-\series bold
+\end_inset
+
 
 \backslash
-numberwithin
+def
+\backslash
+tagform@#1{
+\backslash
+maketag@@@{|#1|}} }
 \series default
 
-\begin_inset Index idx
+\begin_inset Note Note
 status collapsed
 
 \begin_layout Plain Layout
-Commands ! N ! 
-\backslash
-numberwithin
+This macro is already declared in the \SpecialChar LaTeX
+-preamble for testing.
+ To activate it, remove the percent signs at the beginning.
 \end_layout
 
 \end_inset
 
-, which is used with the following scheme:
-\end_layout
 
-\begin_layout Standard
-
-\series bold
-
-\backslash
-numberwithin{counter}{sectioning}
 \end_layout
 
 \begin_layout Standard
-Counter denotes what kind of numbering is affected, sectioning denotes what
- number is before the dot.
-\end_layout
-
-\begin_layout Standard
-Thus in our case the following \SpecialChar LaTeX
- preamble or \SpecialChar TeX
- code line is used:
+To use other characters, the vertical bars besides the 
+\series bold
+#1
+\series default
+ are replaced by one ore more characters.
+ To get only the formula number the vertical bars are omitted.
 \end_layout
 
 \begin_layout Standard
+\begin_inset VSpace bigskip
+\end_inset
 
+When there should be an expression of your choice instead of the consecutive
+ formula number in parentheses behind the formula, the command 
 \series bold
 
 \backslash
-numberwithin{equation}{section}
-\end_layout
+tag
+\series default
 
-\begin_layout Standard
-This is the result:
-\begin_inset ERT
+\begin_inset Index idx
 status collapsed
 
 \begin_layout Plain Layout
-
-
+Commands ! T ! 
 \backslash
-numberwithin{equation}{section}
+tag
 \end_layout
 
 \end_inset
 
-
+ is used:
 \begin_inset Formula 
 \begin{equation}
-A+B=C
+A+B=C\tag{something}\label{eq:tag}
 \end{equation}
 
 \end_inset
 
+In this example the command 
+\series bold
 
+\backslash
+tag
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+something
+\series default
+ was inserted in the formula.
 \end_layout
 
 \begin_layout Standard
-To number e.
-\begin_inset space \thinspace{}
-\end_inset
+When the command 
+\series bold
 
-g.
-\begin_inset space \space{}
+\backslash
+tag*
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-tables so that the number of the part is the sectioning,
-\begin_inset Newline newline
-\end_inset
+something
+\series default
+ is inserted instead, the star prevents the parentheses around the expression:
+\begin_inset Formula 
+\[
+A+B=C\tag*{something}
+\]
 
+\end_inset
 
-\series bold
 
-\backslash
-numberwithin{table}{part}
-\series default
- is used.
 \end_layout
 
 \begin_layout Standard
-To go back to the standard numbering or to prevent this kind of numbering
- when it is defined by the document class, the following command is inserted
- as \SpecialChar TeX
- code or to the \SpecialChar LaTeX
preamble:
+\begin_inset VSpace bigskip
+\end_inset
+
+To restart the formula numbering with new document parts or sections, the
following command is used:
 \end_layout
 
 \begin_layout Standard
@@ -31127,134 +30947,114 @@ To go back to the standard numbering or to prevent this kind of numbering
 \series bold
 
 \backslash
-renewcommand{
-\backslash
-theequation}{
-\backslash
-arabic{equation}}
+@addtoreset{equation}{part}
+\series default
+
 \begin_inset Index idx
 status collapsed
 
 \begin_layout Plain Layout
-Commands ! A ! 
-\backslash
-arabic
-\end_layout
-
-\end_inset
-
-
-\series default
-
+Commands ! 
 \begin_inset ERT
 status collapsed
 
 \begin_layout Plain Layout
 
-
-\backslash
-renewcommand{
-\backslash
-theequation}{
-\backslash
-arabic{equation}}
+"
 \end_layout
 
 \end_inset
 
+@
+\begin_inset ERT
+status collapsed
 
-\series bold
-
-\begin_inset Newline newline
-\end_inset
-
+\begin_layout Plain Layout
 
-\series default
-or
-\series bold
+"
+\end_layout
 
-\begin_inset Newline newline
 \end_inset
 
-
-\backslash
-renewcommand{
-\backslash
-thetable}{
+ ! 
 \backslash
-arabic{table}}
-\end_layout
 
-\begin_layout Standard
+\begin_inset ERT
+status collapsed
 
-\series bold
+\begin_layout Plain Layout
 
-\backslash
-numberwithin
-\series default
- uses internally the command 
-\series bold
+"
+\end_layout
 
-\backslash
-@addtoreset
-\series default
-, described above, that also needs to be reverted.
+\end_inset
+
+@
 \begin_inset ERT
 status collapsed
 
 \begin_layout Plain Layout
 
-
-\backslash
-makeatletter
+"
 \end_layout
 
-\begin_layout Plain Layout
-
+\end_inset
 
-\backslash
-@removefromreset{equation}{section}
+addtoreset
 \end_layout
 
-\begin_layout Plain Layout
+\end_inset
 
 
-\backslash
-makeatother
-\end_layout
-
+\begin_inset Newline newline
 \end_inset
 
+resp.
+\begin_inset Newline newline
+\end_inset
 
-\end_layout
 
-\begin_layout Subsection
-Numbering with Roman Numbers and Letters
-\begin_inset Index idx
-status collapsed
+\series bold
 
-\begin_layout Plain Layout
-Formula numbering ! with letters
+\backslash
+@addtoreset{equation}{section}
 \end_layout
 
+\begin_layout Standard
+To be able to use these commands in \SpecialChar TeX
+ mode, the 
+\begin_inset Quotes eld
 \end_inset
 
+@
+\begin_inset Quotes erd
+\end_inset
 
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Formula numbering ! with Roman numbers
-\end_layout
+ character has to be made 
+\begin_inset Quotes eld
+\end_inset
 
+active
+\begin_inset Quotes erd
 \end_inset
 
+ for \SpecialChar LaTeX
+ using the command 
+\series bold
 
-\end_layout
+\backslash
+makeatletter.
 
-\begin_layout Standard
-Formulas can also be numbered with Roman numbers and Latin letters.
- To number for example with small Roman numbers, the command
+\series default
+ The command 
+\series bold
+
+\backslash
+makeatother
+\series default
+ reverts this.
+ So the command sequence in \SpecialChar TeX
+ mode is:
 \end_layout
 
 \begin_layout Standard
@@ -31262,282 +31062,250 @@ Formulas can also be numbered with Roman numbers and Latin letters.
 \series bold
 
 \backslash
-renewcommand{
+makeatletter
+\begin_inset Newline newline
+\end_inset
+
+
 \backslash
-theequation}{
+@addtoreset{equation}{section}
+\begin_inset Newline newline
+\end_inset
+
+
 \backslash
-roman{equation}}
+makeatother
 \end_layout
 
 \begin_layout Standard
-is inserted before the formula in \SpecialChar TeX
- mode.
+In the \SpecialChar LaTeX
+-preamble 
 \series bold
 
 \backslash
-renewcommand
+makeatletter
 \series default
+ and 
+\series bold
 
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! R ! 
 \backslash
-renewcommand
+makeatother
+\series default
+ can be omitted as they are automatically internally inserted by \SpecialChar LyX
+.
 \end_layout
 
-\end_inset
-
- redefines the predefined command 
+\begin_layout Standard
+To revert 
 \series bold
 
 \backslash
-theequation
+@addtoreset
 \series default
- to the command 
+, the file 
 \series bold
-
-\backslash
-roman{equation}
+remreset.sty
 \series default
-.
+
 \begin_inset Foot
 status collapsed
 
 \begin_layout Plain Layout
-The command 
-\series bold
 
-\backslash
-renewcommand
+\series bold
+remreset
 \series default
- has the same scheme like the command 
+ is part of the \SpecialChar LaTeX
+-package 
 \series bold
-
-\backslash
-newcommand
+carlisle
 \series default
- that is described in 
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "subsec:The-Command-newcommand"
 
-\end_inset
+\begin_inset Index idx
+status collapsed
 
-.
+\begin_layout Plain Layout
+Packages ! carlisle
 \end_layout
 
 \end_inset
 
-\series bold
-equation
-\series default
- is the formula counter.
- When the command 
-\series bold
+ that is part of every \SpecialChar LaTeX
+ standard installation.
+\end_layout
 
-\backslash
-the
-\series default
- is used as prefix for a counter, the value of the counter is output as
- Arabic number.
- When a formula is numbered, \SpecialChar LaTeX
- sets internally the command 
-\series bold
+\end_inset
 
-\backslash
-theequation
-\series default
- behind the formula.
-\series bold
 
-\backslash
-roman{equation}
 \begin_inset Index idx
 status collapsed
 
 \begin_layout Plain Layout
-Commands ! R ! 
-\backslash
-roman
+Packages ! remreset
 \end_layout
 
 \end_inset
 
-
-\series default
- outputs the counter as small Roman number.
+ has to be loaded in the \SpecialChar LaTeX
+-preamble with the line
 \end_layout
 
 \begin_layout Standard
-All formulas behind the command 
-\series bold
 
-\backslash
-renew
-\series default
-c
-\series bold
-ommand
-\series default
- are now numbered Roman.
- To switch to numbering with big Roman numbers, the command is inserted
- again, but 
 \series bold
 
 \backslash
-roman
-\series default
- is replaced by 
+usepackage{remreset}
+\end_layout
+
+\begin_layout Standard
+Then the command 
 \series bold
 
 \backslash
-Roman
+@removefromreset
 \series default
 
 \begin_inset Index idx
 status collapsed
 
 \begin_layout Plain Layout
-Commands ! R ! 
-\backslash
-roman@
-\backslash
-Roman
-\end_layout
+Commands ! 
+\begin_inset ERT
+status collapsed
 
-\end_inset
+\begin_layout Plain Layout
 
-.
- To 
-\begin_inset Quotes eld
-\end_inset
+"
+\end_layout
 
-number
-\begin_inset Quotes erd
 \end_inset
 
- with small Latin letters there is the command 
-\series bold
-
-\backslash
-alph
-\series default
-
-\begin_inset Index idx
+@
+\begin_inset ERT
 status collapsed
 
 \begin_layout Plain Layout
-Commands ! A ! 
-\backslash
-alph
+
+"
 \end_layout
 
 \end_inset
 
-, for big ones there is the command 
-\series bold
-
+ ! 
 \backslash
-Alph
-\series default
 
-\begin_inset Index idx
+\begin_inset ERT
 status collapsed
 
 \begin_layout Plain Layout
-Commands ! A ! 
-\backslash
-alph@
-\backslash
-Alph
+
+"
 \end_layout
 
 \end_inset
 
-.
-\end_layout
-
-\begin_layout Standard
-\begin_inset Note Greyedout
-status open
+@
+\begin_inset ERT
+status collapsed
 
 \begin_layout Plain Layout
 
-\series bold
-\color none
-Note:
-\series default
- Only maximal 26
-\begin_inset space ~
+"
+\end_layout
+
 \end_inset
 
-formulas can be numbered with Latin letters in one document.
+removefromreset
 \end_layout
 
 \end_inset
 
+ can be used with the same scheme as 
+\series bold
 
+\backslash
+@addtoreset
+\series default
+.
 \end_layout
 
 \begin_layout Standard
-\begin_inset ERT
-status collapsed
+\begin_inset VSpace bigskip
+\end_inset
 
-\begin_layout Plain Layout
+Sometimes formulas should be numbered in the following form:
+\end_layout
 
+\begin_layout Standard
 
-\backslash
-renewcommand{
-\backslash
-theequation}{
-\backslash
-roman{equation}}
+\family typewriter
+(section number.formula number)
 \end_layout
 
+\begin_layout Standard
+The formula number should start with every section with 
+\begin_inset Quotes eld
 \end_inset
 
+1
+\begin_inset Quotes erd
+\end_inset
 
+.
 \end_layout
 
 \begin_layout Standard
-\begin_inset Formula 
-\begin{equation}
-A=\textrm{small roman}
-\end{equation}
-
-\end_inset
+For this case there is the command 
+\series bold
 
+\backslash
+numberwithin
+\series default
 
-\begin_inset ERT
+\begin_inset Index idx
 status collapsed
 
 \begin_layout Plain Layout
+Commands ! N ! 
+\backslash
+numberwithin
+\end_layout
 
+\end_inset
+
+, which is used with the following scheme:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
 
 \backslash
-renewcommand{
-\backslash
-theequation}{
-\backslash
-Roman{equation}}
+numberwithin{counter}{sectioning}
 \end_layout
 
-\end_inset
+\begin_layout Standard
+Counter denotes what kind of numbering is affected, sectioning denotes what
+ number is before the dot.
+\end_layout
 
+\begin_layout Standard
+Thus in our case the following \SpecialChar LaTeX
+ preamble or \SpecialChar TeX
+ code line is used:
+\end_layout
 
-\begin_inset Formula 
-\begin{equation}
-B=\textrm{big Roman}\label{eq:Rom}
-\end{equation}
+\begin_layout Standard
 
-\end_inset
+\series bold
 
+\backslash
+numberwithin{equation}{section}
+\end_layout
 
+\begin_layout Standard
+This is the result:
 \begin_inset ERT
 status collapsed
 
@@ -31545,11 +31313,7 @@ status collapsed
 
 
 \backslash
-renewcommand{
-\backslash
-theequation}{
-\backslash
-alph{equation}}
+numberwithin{equation}{section}
 \end_layout
 
 \end_inset
@@ -31557,41 +31321,42 @@ alph{equation}}
 
 \begin_inset Formula 
 \begin{equation}
-C=\textrm{small Latin}
+A+B=C
 \end{equation}
 
 \end_inset
 
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-renewcommand{
-\backslash
-theequation}{
-\backslash
-Alph{equation}}
 \end_layout
 
+\begin_layout Standard
+To number e.
+\begin_inset space \thinspace{}
 \end_inset
 
+g.
+\begin_inset space \space{}
+\end_inset
 
-\begin_inset Formula 
-\begin{equation}
-D=\textrm{big Latin}\label{eq:Lat}
-\end{equation}
-
+tables so that the number of the part is the sectioning,
+\begin_inset Newline newline
 \end_inset
 
 
+\series bold
+
+\backslash
+numberwithin{table}{part}
+\series default
+ is used.
 \end_layout
 
 \begin_layout Standard
-To switch back to the default numbering, insert the command:
+To go back to the standard numbering or to prevent this kind of numbering
+ when it is defined by the document class, the following command is inserted
+ as \SpecialChar TeX
+ code or to the \SpecialChar LaTeX
+ preamble:
 \end_layout
 
 \begin_layout Standard
@@ -31616,9 +31381,8 @@ arabic
 \end_inset
 
 
-\end_layout
+\series default
 
-\begin_layout Standard
 \begin_inset ERT
 status collapsed
 
@@ -31636,40 +31400,69 @@ arabic{equation}}
 \end_inset
 
 
-\begin_inset Formula 
-\begin{equation}
-E=\textrm{Arabic}
-\end{equation}
+\series bold
+
+\begin_inset Newline newline
+\end_inset
+
+
+\series default
+or
+\series bold
 
+\begin_inset Newline newline
 \end_inset
 
 
+\backslash
+renewcommand{
+\backslash
+thetable}{
+\backslash
+arabic{table}}
 \end_layout
 
 \begin_layout Standard
-\begin_inset VSpace medskip
-\end_inset
 
-As you see, formulas are numbered serially independent from the numbering
- style.
- When then numbering should start with 
-\begin_inset Quotes eld
-\end_inset
+\series bold
 
-1
-\begin_inset Quotes erd
-\end_inset
+\backslash
+numberwithin
+\series default
+ uses internally the command 
+\series bold
 
- when the style is changed, new equation counters have to be defined.
- A description about this can be found in the file 
-\begin_inset CommandInset href
-LatexCommand href
-name "Formula-numbering.lyx"
-target "run:Formula-numbering.lyx"
+\backslash
+@addtoreset
+\series default
+, described above, that also needs to be reverted.
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+makeatletter
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+@removefromreset{equation}{section}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+makeatother
+\end_layout
 
 \end_inset
 
-.
+
 \end_layout
 
 \begin_layout Section
 \series default
  to a formula a new blue box appears where chemical formulas can be inserted
  in an intuitive way.
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -32195,7 +31984,6 @@ status open
 \begin_layout Plain Layout
 
 \series bold
-\color none
 Note:
 \series default
  It is not possible in \SpecialChar LyX
@@ -32364,6 +32152,7 @@ mhchem
 \begin_inset CommandInset citation
 LatexCommand cite
 key "mhchem"
+literal "true"
 
 \end_inset
 
@@ -32734,13 +32523,6 @@ Manuals
 .
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Section
 User-defined Commands
 \begin_inset Index idx
@@ -33134,10 +32916,6 @@ white
 
 \begin_layout Standard
 A test of the new defined commands:
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -33543,7 +33321,7 @@ arg   "math-macro newmacroname_newcommand"
 
 \begin_inset Graphics
        filename clipart/macrobox.png
-       scale 75
+       scale 95
 
 \end_inset
 
@@ -33698,7 +33476,7 @@ qG
 
 \begin_inset Graphics
        filename clipart/macrouse.png
-       scale 75
+       scale 95
 
 \end_inset
 
@@ -34397,6 +34175,35 @@ Maxima
 \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
@@ -34415,6 +34222,20 @@ Maxima
 \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
@@ -34504,10 +34325,6 @@ Thus, the problem disappears when converting the minus sign to mathematical
 
 \begin_layout Standard
 An example to visualize the problem:
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -34774,10 +34591,6 @@ braket
 
 \begin_layout Standard
 The following commands are defined:
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -35091,10 +34904,6 @@ The style is a number in the range of 0
 \end_inset
 
 3.
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -35366,10 +35175,6 @@ cancel
 \end_inset
 
 
-\begin_inset Separator parbreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -35706,6 +35511,7 @@ cancel
 \begin_inset CommandInset citation
 LatexCommand cite
 key "cancel"
+literal "true"
 
 \end_inset
 
@@ -36903,7 +36709,8 @@ status collapsed
 \begin_inset CommandInset href
 LatexCommand href
 name "LyX-bug #9002"
-target "http://www.lyx.org/trac/ticket/9002"
+target "https://www.lyx.org/trac/ticket/9002"
+literal "false"
 
 \end_inset
 
@@ -36973,6 +36780,7 @@ Duden
 \begin_inset CommandInset citation
 LatexCommand cite
 key "Duden"
+literal "true"
 
 \end_inset
 
@@ -36981,6 +36789,7 @@ key "Duden"
 \begin_inset CommandInset citation
 LatexCommand cite
 key "Checklist"
+literal "true"
 
 \end_inset
 
@@ -37826,6 +37635,15 @@ Vert
 \end_inset
 
 
+\begin_inset CommandInset href
+LatexCommand href
+name "List"
+target "https://ctan.org/tex-archive/info/symbols/comprehensive/symbols-a4.pdf"
+literal "false"
+
+\end_inset
+
+
 \end_layout
 
 \begin_layout Standard
@@ -37839,13 +37657,15 @@ Vert
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "TLC2"
+literal "true"
 
 \end_inset
 
 
 \shape smallcaps
-Mittelbach, F.
- ; Goossens, M.
+F.
+ Mittelbach; M.
+ Goossens
 \shape default
 : 
 \shape italic
@@ -37860,6 +37680,7 @@ The \SpecialChar LaTeX
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Mathmode"
+literal "true"
 
 \end_inset
 
@@ -37867,7 +37688,8 @@ key "Mathmode"
 \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
 
@@ -37879,6 +37701,7 @@ target "ftp://ftp.dante.de/tex-archive/info/math/voss/mathmode/Mathmode.pdf"
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "AMS"
+literal "true"
 
 \end_inset
 
@@ -37886,7 +37709,8 @@ key "AMS"
 \begin_inset CommandInset href
 LatexCommand href
 name "Description"
-target "http://mirrors.ctan.org/macros/latex/required/amslatex/math/amsldoc.pdf"
+target "https://www.ctan.org/tex-archive/macros/latex/required/amslatex/math/amsldoc.pdf"
+literal "false"
 
 \end_inset
 
@@ -37911,6 +37735,7 @@ AmS
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Symbols"
+literal "true"
 
 \end_inset
 
@@ -37919,6 +37744,7 @@ key "Symbols"
 LatexCommand href
 name "List"
 target "ftp://ftp.dante.de/tex-archive/info/symbols/comprehensive/symbols-a4.pdf"
+literal "false"
 
 \end_inset
 
@@ -37930,6 +37756,7 @@ target "ftp://ftp.dante.de/tex-archive/info/symbols/comprehensive/symbols-a4.pdf
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "cancel"
+literal "true"
 
 \end_inset
 
@@ -37937,7 +37764,8 @@ key "cancel"
 \begin_inset CommandInset href
 LatexCommand href
 name "Documentation"
-target "http://mirrors.ctan.org/macros/latex/contrib/cancel/cancel.pdf"
+target "https://www.ctan.org/tex-archive/macros/latex/contrib/cancel/cancel.pdf"
+literal "false"
 
 \end_inset
 
@@ -37963,6 +37791,7 @@ Packages ! cancel
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "hyperref"
+literal "true"
 
 \end_inset
 
@@ -37970,7 +37799,8 @@ key "hyperref"
 \begin_inset CommandInset href
 LatexCommand href
 name "Documentation"
-target "http://www.tug.org/applications/hyperref/ftp/doc/manual.pdf"
+target "https://www.ctan.org/tex-archive/macros/latex/contrib/hyperref/doc/manual.pdf"
+literal "false"
 
 \end_inset
 
@@ -37996,6 +37826,7 @@ Packages ! hyperref
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "mhchem"
+literal "true"
 
 \end_inset
 
@@ -38003,7 +37834,8 @@ key "mhchem"
 \begin_inset CommandInset href
 LatexCommand href
 name "Documentation"
-target "http://www.ctan.org/tex-archive/macros/latex/contrib/mhchem/mhchem.pdf"
+target "https://www.ctan.org/tex-archive/macros/latex/contrib/mhchem/mhchem.pdf"
+literal "false"
 
 \end_inset
 
@@ -38029,22 +37861,31 @@ Packages ! mhchem
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Duden"
+literal "true"
 
 \end_inset
 
 
 \emph on
-Duden Band 1
+Duden Band
+\begin_inset space ~
+\end_inset
+
+1
 \emph default
 .
  22.
- Auflage, Duden 2001
+\begin_inset space ~
+\end_inset
+
+Auflage, Dudenverlag, 2000
 \end_layout
 
 \begin_layout Bibliography
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Checklist"
+literal "true"
 
 \end_inset
 
@@ -38052,7 +37893,8 @@ key "Checklist"
 \begin_inset CommandInset href
 LatexCommand href
 name "Check list"
-target "http://physics.nist.gov/Document/checklist.pdf"
+target "https://www.nist.gov/physical-measurement-laboratory/special-publication-811"
+literal "false"
 
 \end_inset
 
@@ -38063,6 +37905,8 @@ target "http://physics.nist.gov/Document/checklist.pdf"
 \begin_inset CommandInset index_print
 LatexCommand printindex
 type "idx"
+name "Index"
+literal "false"
 
 \end_inset