X-Git-Url: https://git.lyx.org/gitweb/?a=blobdiff_plain;f=lib%2Fdoc%2FMath.lyx;h=9b09d014f2501f294b72b24aa59dcbf8f3d6a4e5;hb=d9db72833ae8c53f58f56cea5ae1af5bd3197d10;hp=04249eb9d7d2b48c58ceeadadf584cf05892bfb9;hpb=711ece275021a38a57b4f5799fb5149c5697273c;p=lyx.git diff --git a/lib/doc/Math.lyx b/lib/doc/Math.lyx index 04249eb9d7..9b09d014f2 100644 --- a/lib/doc/Math.lyx +++ b/lib/doc/Math.lyx @@ -1,8 +1,9 @@ #LyX 2.2 created this file. For more info see http://www.lyx.org/ -\lyxformat 498 +\lyxformat 508 \begin_document \begin_header -\origin unavailable +\save_transient_properties true +\origin /systemlyxdir/doc/ \textclass scrartcl \begin_preamble % DO NOT ALTER THIS PREAMBLE!!! @@ -14,16 +15,6 @@ % 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. @@ -34,12 +25,14 @@ % increase link area for cross-references and autoname them, \AtBeginDocument{\renewcommand{\ref}[1]{\mbox{\autoref{#1}}}} \@ifundefined{extrasenglish}{\usepackage[english]{babel}}{} -\addto\extrasenglish{% - \renewcommand*{\equationautorefname}[1]{}% - \renewcommand{\sectionautorefname}{sec.\negthinspace}% - \renewcommand{\subsectionautorefname}{sec.\negthinspace}% - \renewcommand{\subsubsectionautorefname}{sec.\negthinspace}% -} +\@ifpackageloaded{babel}{ + \addto\extrasenglish{% + \renewcommand*{\equationautorefname}[1]{}% + \renewcommand{\sectionautorefname}{sec.\negthinspace}% + \renewcommand{\subsectionautorefname}{sec.\negthinspace}% + \renewcommand{\subsubsectionautorefname}{sec.\negthinspace}% + } +}{} % don't load packages twice % see first footnote in sec. 9.3 @@ -146,18 +139,18 @@ \language_package default \inputencoding auto \fontencoding global -\font_roman default -\font_sans default -\font_typewriter default -\font_math 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_sf_scale 100 100 +\font_tt_scale 100 100 \graphics default -\default_output_format default +\default_output_format pdf2 \output_sync 0 \bibtex_command default \index_command default @@ -275,7 +268,7 @@ author: Uwe Stöhr \family sans -Version 2.1.x +Version 2.2.x \end_layout \begin_layout Standard @@ -1180,7 +1173,7 @@ pt) \begin_inset Text \begin_layout Plain Layout -böp +bp \end_layout \end_inset @@ -1500,270 +1493,262 @@ arg "math-superscript" \end_inset . -\begin_inset Separator parbreak -\end_inset - - -\end_layout - -\begin_layout Standard -\align center -\begin_inset Tabular - - - - - - -\begin_inset Text - -\begin_layout Plain Layout -Command -\end_layout - -\end_inset - - -\begin_inset Text - -\begin_layout Plain Layout -Result -\end_layout - -\end_inset - - - - -\begin_inset Text - -\begin_layout Plain Layout -B_V -\end_layout - -\end_inset - - -\begin_inset Text - -\begin_layout Plain Layout -\begin_inset Formula $B_{V}$ -\end_inset - - -\end_layout - -\end_inset - - - - -\begin_inset Text - -\begin_layout Plain Layout -B^V -\end_layout - -\end_inset - - -\begin_inset Text - -\begin_layout Plain Layout -\begin_inset Formula $B^{V}$ -\end_inset - - -\end_layout - -\end_inset - - - - -\begin_inset Text - -\begin_layout Plain Layout -B^ -\begin_inset space \textvisiblespace{} -\end_inset - -A -\end_layout - -\end_inset - - -\begin_inset Text - -\begin_layout Plain Layout -\begin_inset Formula $B^{A}$ -\end_inset - - -\end_layout - -\end_inset - - - - -\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 + + + + + + +\begin_inset Text + +\begin_layout Plain Layout +Command +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +Result +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +B_V +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Formula $B_{V}$ +\end_inset + + +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +B^V +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Formula $B^{V}$ +\end_inset + + +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +B^ +\begin_inset space \textvisiblespace{} +\end_inset + +A +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Formula $B^{A}$ +\end_inset + + +\end_layout + +\end_inset + + + + +\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 @@ -2298,10 +2283,6 @@ arg "math-insert \\root" \end_inset . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -2654,10 +2635,6 @@ brack \end_inset . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -3013,7 +2990,7 @@ 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 . @@ -3070,10 +3047,6 @@ 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 @@ -3298,10 +3271,6 @@ reference "subsec:Chemical-Symbols-and" \end_inset the following problem occurs: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -3406,10 +3375,9 @@ 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. @@ -3423,10 +3391,6 @@ 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 @@ -3608,14 +3572,9 @@ 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 @@ -3637,14 +3596,9 @@ 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 ). @@ -4147,10 +4101,6 @@ 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 @@ -4804,13 +4754,13 @@ 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. @@ -5011,7 +4961,7 @@ matrix - + \begin_inset Text \begin_layout Plain Layout @@ -5034,7 +4984,7 @@ matrix \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -5165,7 +5115,7 @@ matrix - + \begin_inset Text \begin_layout Plain Layout @@ -5188,7 +5138,7 @@ matrix \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -6026,17 +5976,13 @@ Bigg \begin_layout Standard These commands are used to emphasize levels of brackets: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - + @@ -6053,7 +5999,7 @@ all brackets in the same size: \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $((A+B)(A-B))^{C}\raisebox{-4mm}{}$ +\begin_inset Formula $((A+B)(A-B))^{C}$ \end_inset @@ -6062,7 +6008,7 @@ all brackets in the same size: \end_inset - + \begin_inset Text @@ -6090,22 +6036,6 @@ this looks better: \end_inset -\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 \begin_layout Standard @@ -6126,10 +6056,6 @@ C \begin_layout Standard Here is an overview about all bracket sizes: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -6253,21 +6179,17 @@ 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 \align center \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -6276,34 +6198,18 @@ Command \end_inset - + \begin_inset Text \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 - - + + \begin_inset Text \begin_layout Plain Layout @@ -6326,11 +6232,11 @@ Bigm) \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5.5mm}{}\Bigm(\bigm(\ln(3x)\bigm)^{2}\Bigm)\raisebox{-3.25mm}{}$ +\begin_inset Formula $\Bigm(\bigm(\ln(3x)\bigm)^{2}\Bigm)$ \end_inset @@ -6339,8 +6245,8 @@ Bigm) \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -6363,11 +6269,11 @@ Big) \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5.5mm}{}\Big(\big(\ln(3x)\big)^{2}\Big)\raisebox{-3.25mm}{}$ +\begin_inset Formula $\Big(\big(\ln(3x)\big)^{2}\Big)$ \end_inset @@ -6376,8 +6282,8 @@ Big) \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -6400,11 +6306,11 @@ Bigr) \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5.5mm}{}\Bigl(\bigl(\ln(3x)\bigr)^{2}\Bigr)\raisebox{-3.25mm}{}$ +\begin_inset Formula $\Bigl(\bigl(\ln(3x)\bigr)^{2}\Bigr)$ \end_inset @@ -6413,8 +6319,8 @@ Bigr) \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -6429,11 +6335,11 @@ bigr( \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\bigl)\ln(3x)\bigr(\raisebox{-2mm}{}$ +\begin_inset Formula $\bigl)\ln(3x)\bigr($ \end_inset @@ -6528,10 +6434,6 @@ 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 @@ -6779,36 +6681,20 @@ Brackets ! horizontal \align center \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout Command -\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 - + \begin_inset Text \begin_layout Plain Layout @@ -6819,22 +6705,10 @@ Result - + \begin_inset Text \begin_layout Plain Layout -\begin_inset ERT -status collapsed - -\begin_layout Plain Layout - - -\backslash -raisebox{2.3mm}{ -\end_layout - -\end_inset - \backslash overbrace @@ -6846,17 +6720,6 @@ A+B \end_inset ^3 -\begin_inset ERT -status collapsed - -\begin_layout Plain Layout - -} -\end_layout - -\end_inset - - \begin_inset Index idx status collapsed @@ -6873,7 +6736,7 @@ overbrace \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -6886,23 +6749,11 @@ overbrace \end_inset - - + + \begin_inset Text \begin_layout Plain Layout -\begin_inset ERT -status collapsed - -\begin_layout Plain Layout - - -\backslash -raisebox{-2.2mm}{ -\end_layout - -\end_inset - \backslash underbrace @@ -6914,17 +6765,6 @@ A+B \end_inset _5 -\begin_inset ERT -status collapsed - -\begin_layout Plain Layout - -} -\end_layout - -\end_inset - - \begin_inset Index idx status collapsed @@ -6941,7 +6781,7 @@ underbrace \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -6955,7 +6795,7 @@ underbrace - + \begin_inset Text \begin_layout Plain Layout @@ -6996,7 +6836,7 @@ C \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7071,46 +6911,26 @@ Load always \family default , you have access to square backets: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout Command -\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 - + \begin_inset Text \begin_layout Plain Layout @@ -7121,23 +6941,11 @@ Result - + \begin_inset Text -\begin_layout Plain Layout -\begin_inset ERT -status collapsed - \begin_layout Plain Layout - -\backslash -raisebox{2.3mm}{ -\end_layout - -\end_inset - - \backslash \family roman @@ -7168,17 +6976,6 @@ overbracket \end_inset ^3 -\begin_inset ERT -status collapsed - -\begin_layout Plain Layout - -} -\end_layout - -\end_inset - - \begin_inset Index idx status collapsed @@ -7195,7 +6992,7 @@ overbracket \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7208,23 +7005,11 @@ overbracket \end_inset - - + + \begin_inset Text \begin_layout Plain Layout -\begin_inset ERT -status collapsed - -\begin_layout Plain Layout - - -\backslash -raisebox{-2.2mm}{ -\end_layout - -\end_inset - \backslash under @@ -7256,17 +7041,6 @@ bracket \end_inset _5 -\begin_inset ERT -status collapsed - -\begin_layout Plain Layout - -} -\end_layout - -\end_inset - - \begin_inset Index idx status collapsed @@ -7295,7 +7069,7 @@ bracket \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7309,7 +7083,7 @@ bracket - + \begin_inset Text \begin_layout Plain Layout @@ -7342,7 +7116,7 @@ C \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7377,46 +7151,26 @@ 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 \align center \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout Command -\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 - + \begin_inset Text \begin_layout Plain Layout @@ -7427,22 +7181,10 @@ Result - + \begin_inset Text \begin_layout Plain Layout -\begin_inset ERT -status collapsed - -\begin_layout Plain Layout - - -\backslash -raisebox{2.3mm}{ -\end_layout - -\end_inset - \backslash @@ -7476,22 +7218,11 @@ overbracket \end_inset ^3 -\begin_inset ERT -status collapsed - -\begin_layout Plain Layout - -} -\end_layout - -\end_inset - - \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7504,23 +7235,11 @@ status collapsed \end_inset - - + + \begin_inset Text \begin_layout Plain Layout -\begin_inset ERT -status collapsed - -\begin_layout Plain Layout - - -\backslash -raisebox{-2.2mm}{ -\end_layout - -\end_inset - \backslash under @@ -7554,22 +7273,11 @@ bracket \end_inset _5 -\begin_inset ERT -status collapsed - -\begin_layout Plain Layout - -} -\end_layout - -\end_inset - - \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7883,11 +7591,11 @@ Arrows ! horizontal \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -7896,7 +7604,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7907,7 +7615,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -7918,7 +7626,7 @@ gets \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7932,7 +7640,7 @@ gets - + \begin_inset Text \begin_layout Plain Layout @@ -7943,7 +7651,7 @@ Leftarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7957,7 +7665,7 @@ Leftarrow - + \begin_inset Text \begin_layout Plain Layout @@ -7968,7 +7676,7 @@ longleftarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7982,7 +7690,7 @@ longleftarrow - + \begin_inset Text \begin_layout Plain Layout @@ -7993,7 +7701,7 @@ Longleftarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8007,7 +7715,7 @@ Longleftarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8018,7 +7726,7 @@ leftharpoonup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8032,7 +7740,7 @@ leftharpoonup - + \begin_inset Text \begin_layout Plain Layout @@ -8043,7 +7751,7 @@ leftharpoondown \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8057,7 +7765,7 @@ leftharpoondown - + \begin_inset Text \begin_layout Plain Layout @@ -8068,7 +7776,7 @@ hookleftarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8092,11 +7800,11 @@ hookleftarrow \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -8105,7 +7813,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8116,7 +7824,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -8127,7 +7835,7 @@ to \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8141,7 +7849,7 @@ to - + \begin_inset Text \begin_layout Plain Layout @@ -8152,7 +7860,7 @@ Rightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8166,7 +7874,7 @@ Rightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8177,7 +7885,7 @@ longrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8191,7 +7899,7 @@ longrightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8202,7 +7910,7 @@ Longrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8216,7 +7924,7 @@ Longrightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8227,7 +7935,7 @@ rightharpoonup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8241,7 +7949,7 @@ rightharpoonup - + \begin_inset Text \begin_layout Plain Layout @@ -8252,7 +7960,7 @@ rightharpoondown \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8266,7 +7974,7 @@ rightharpoondown - + \begin_inset Text \begin_layout Plain Layout @@ -8277,7 +7985,7 @@ hookrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8308,11 +8016,11 @@ hookrightarrow \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -8321,7 +8029,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8332,7 +8040,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -8343,7 +8051,7 @@ leftrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8357,7 +8065,7 @@ leftrightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8368,7 +8076,7 @@ Leftrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8382,7 +8090,7 @@ Leftrightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8393,7 +8101,7 @@ longleftrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8407,7 +8115,7 @@ longleftrightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8418,7 +8126,7 @@ Longleftrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8432,7 +8140,7 @@ Longleftrightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8443,7 +8151,7 @@ rightleftharpoons \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8472,11 +8180,11 @@ rightleftharpoons \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -8485,7 +8193,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8496,7 +8204,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -8507,7 +8215,7 @@ mapsto \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8521,7 +8229,7 @@ mapsto - + \begin_inset Text \begin_layout Plain Layout @@ -8532,7 +8240,7 @@ longmapsto \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8546,7 +8254,7 @@ longmapsto - + \begin_inset Text \begin_layout Plain Layout @@ -8557,7 +8265,7 @@ leadsto \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8571,7 +8279,7 @@ leadsto - + \begin_inset Text \begin_layout Plain Layout @@ -8582,7 +8290,7 @@ dasharrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8701,11 +8409,11 @@ vspace{4mm} \align center \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -8714,34 +8422,18 @@ Command \end_inset - + \begin_inset Text \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 - + \begin_inset Text \begin_layout Plain Layout @@ -8764,11 +8456,11 @@ F(x) \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5.5mm}{}F(a)\xleftarrow[x>0]{x=a}F(x)\raisebox{-4mm}{}$ +\begin_inset Formula $F(a)\xleftarrow[x>0]{x=a}F(x)$ \end_inset @@ -8777,8 +8469,8 @@ F(x) \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -8801,11 +8493,11 @@ F(a) \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5.5mm}{}F(x)\xrightarrow[x>0]{x=a}F(a)\raisebox{-4mm}{}$ +\begin_inset Formula $F(x)\xrightarrow[x>0]{x=a}F(a)$ \end_inset @@ -8867,10 +8559,6 @@ always \end_inset -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -8881,11 +8569,11 @@ always \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -8894,34 +8582,18 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout Example -\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 - + \begin_inset Text \begin_layout Plain Layout @@ -8944,11 +8616,11 @@ xleftrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}\xleftrightarrow[x=a]{x>0}\raisebox{-4mm}{}$ +\begin_inset Formula $\xleftrightarrow[x=a]{x>0}$ \end_inset @@ -8957,8 +8629,8 @@ xleftrightarrow \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -8981,11 +8653,11 @@ xLeftarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}\xLeftarrow[x=a]{x>0}\raisebox{-4mm}{}$ +\begin_inset Formula $\xLeftarrow[x=a]{x>0}$ \end_inset @@ -8994,8 +8666,8 @@ xLeftarrow \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9018,11 +8690,11 @@ xRightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}\xRightarrow[x=a]{x>0}\raisebox{-4mm}{}$ +\begin_inset Formula $\xRightarrow[x=a]{x>0}$ \end_inset @@ -9031,8 +8703,8 @@ xRightarrow \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9055,11 +8727,11 @@ xLeftrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}\xLeftrightarrow[x=a]{x>0}\raisebox{-4mm}{}$ +\begin_inset Formula $\xLeftrightarrow[x=a]{x>0}$ \end_inset @@ -9068,8 +8740,8 @@ xLeftrightarrow \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9092,11 +8764,11 @@ xhookleftarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}\xhookleftarrow[x=a]{x>0}\raisebox{-4mm}{}$ +\begin_inset Formula $\xhookleftarrow[x=a]{x>0}$ \end_inset @@ -9105,8 +8777,8 @@ xhookleftarrow \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9129,11 +8801,11 @@ xhookrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}\xhookrightarrow[x=a]{x>0}\raisebox{-4mm}{}$ +\begin_inset Formula $\xhookrightarrow[x=a]{x>0}$ \end_inset @@ -9153,11 +8825,11 @@ xhookrightarrow \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -9166,34 +8838,18 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout Example -\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 - + \begin_inset Text \begin_layout Plain Layout @@ -9216,11 +8872,11 @@ xleftharpoondown \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}\xleftharpoondown[x=a]{x>0}\raisebox{-4mm}{}$ +\begin_inset Formula $\xleftharpoondown[x=a]{x>0}$ \end_inset @@ -9229,8 +8885,8 @@ xleftharpoondown \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9253,11 +8909,11 @@ xleftharpoonup \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}\xleftharpoonup[x=a]{x>0}\raisebox{-4mm}{}$ +\begin_inset Formula $\xleftharpoonup[x=a]{x>0}$ \end_inset @@ -9266,8 +8922,8 @@ xleftharpoonup \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9290,11 +8946,11 @@ xrightharpoondown \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}\xrightharpoondown[x=a]{x>0}\raisebox{-4mm}{}$ +\begin_inset Formula $\xrightharpoondown[x=a]{x>0}$ \end_inset @@ -9303,8 +8959,8 @@ xrightharpoondown \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9327,11 +8983,11 @@ xrightharpoonup \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}\xrightharpoonup[x=a]{x>0}\raisebox{-4mm}{}$ +\begin_inset Formula $\xrightharpoonup[x=a]{x>0}$ \end_inset @@ -9340,8 +8996,8 @@ xrightharpoonup \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9364,11 +9020,11 @@ xleftrightharpoons \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}\xleftrightharpoons[x=a]{x>0}\raisebox{-4mm}{}$ +\begin_inset Formula $\xleftrightharpoons[x=a]{x>0}$ \end_inset @@ -9377,8 +9033,8 @@ xleftrightharpoons \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9401,11 +9057,11 @@ xrightleftharpoons \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}\xrightleftharpoons[x=a]{x>0}\raisebox{-4mm}{}$ +\begin_inset Formula $\xrightleftharpoons[x=a]{x>0}$ \end_inset @@ -9427,21 +9083,17 @@ xrightleftharpoons \begin_layout Standard The command scheme is for all these arrows: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -9450,34 +9102,18 @@ Command \end_inset - + \begin_inset Text \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 - - + + \begin_inset Text \begin_layout Plain Layout @@ -9494,11 +9130,11 @@ F(x) \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}F(a)\xleftrightarrow[x=a]{x>0}F(x)\raisebox{-4mm}{}$ +\begin_inset Formula $F(a)\xleftrightarrow[x=a]{x>0}F(x)$ \end_inset @@ -9545,11 +9181,11 @@ Arrows ! vertical \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -9558,7 +9194,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9569,7 +9205,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -9580,7 +9216,7 @@ uparrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9594,7 +9230,7 @@ uparrow - + \begin_inset Text \begin_layout Plain Layout @@ -9605,7 +9241,7 @@ Uparrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9619,7 +9255,7 @@ Uparrow - + \begin_inset Text \begin_layout Plain Layout @@ -9630,7 +9266,7 @@ updownarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9644,7 +9280,7 @@ updownarrow - + \begin_inset Text \begin_layout Plain Layout @@ -9655,7 +9291,7 @@ Updownarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9669,7 +9305,7 @@ Updownarrow - + \begin_inset Text \begin_layout Plain Layout @@ -9680,7 +9316,7 @@ Downarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9694,7 +9330,7 @@ Downarrow - + \begin_inset Text \begin_layout Plain Layout @@ -9705,7 +9341,7 @@ downarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9729,11 +9365,11 @@ downarrow \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -9742,7 +9378,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9753,7 +9389,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -9764,7 +9400,7 @@ nearrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9778,7 +9414,7 @@ nearrow - + \begin_inset Text \begin_layout Plain Layout @@ -9789,7 +9425,7 @@ searrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9803,7 +9439,7 @@ searrow - + \begin_inset Text \begin_layout Plain Layout @@ -9814,7 +9450,7 @@ swarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9828,7 +9464,7 @@ swarrow - + \begin_inset Text \begin_layout Plain Layout @@ -9839,7 +9475,7 @@ nwarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -10018,11 +9654,11 @@ Accents ! for one character \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -10031,34 +9667,18 @@ Command \end_inset - + \begin_inset Text \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 - - + + \begin_inset Text \begin_layout Plain Layout @@ -10073,11 +9693,11 @@ A \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\dot{A}$ +\begin_inset Formula $\dot{A}$ \end_inset @@ -10086,8 +9706,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10102,11 +9722,11 @@ A \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\ddot{A}$ +\begin_inset Formula $\ddot{A}$ \end_inset @@ -10115,8 +9735,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10131,11 +9751,11 @@ A \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\dddot{A}$ +\begin_inset Formula $\dddot{A}$ \end_inset @@ -10144,8 +9764,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10160,11 +9780,11 @@ A \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\ddddot{A}$ +\begin_inset Formula $\ddddot{A}$ \end_inset @@ -10173,8 +9793,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10199,11 +9819,11 @@ Vectors \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\vec{A}$ +\begin_inset Formula $\vec{A}$ \end_inset @@ -10212,8 +9832,8 @@ Vectors \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10228,11 +9848,11 @@ A \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\bar{A}$ +\begin_inset Formula $\bar{A}$ \end_inset @@ -10241,8 +9861,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10257,11 +9877,11 @@ A \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\mathring{A}$ +\begin_inset Formula $\mathring{A}$ \end_inset @@ -10281,11 +9901,11 @@ A \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -10294,7 +9914,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -10304,8 +9924,8 @@ Result \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10320,11 +9940,11 @@ A \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\tilde{A}$ +\begin_inset Formula $\tilde{A}$ \end_inset @@ -10333,8 +9953,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10349,11 +9969,11 @@ A \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\hat{A}$ +\begin_inset Formula $\hat{A}$ \end_inset @@ -10362,8 +9982,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10378,11 +9998,11 @@ A \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\check{A}$ +\begin_inset Formula $\check{A}$ \end_inset @@ -10391,8 +10011,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10407,11 +10027,11 @@ A \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\acute{A}$ +\begin_inset Formula $\acute{A}$ \end_inset @@ -10420,8 +10040,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10436,11 +10056,11 @@ A \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\grave{A}$ +\begin_inset Formula $\grave{A}$ \end_inset @@ -10449,8 +10069,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10465,11 +10085,11 @@ A \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\breve{A}$ +\begin_inset Formula $\breve{A}$ \end_inset @@ -10545,11 +10165,11 @@ real \align center \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -10558,43 +10178,21 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout Result -\begin_inset Note Note -status collapsed - -\begin_layout Plain Layout - -\series bold - -\backslash -raisebox -\series default - and the 0 -\begin_inset space \thinspace{} -\end_inset - -pt space are only used as spacer. -\end_layout - -\end_inset - - \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout - -\lang ngerman \begin_inset Quotes grd \end_inset @@ -10603,7 +10201,7 @@ i \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -10623,8 +10221,8 @@ i \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10639,11 +10237,11 @@ i \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\ddot{i}$ +\begin_inset Formula $\ddot{i}$ \end_inset @@ -10750,10 +10348,6 @@ undertilde \end_inset -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -10761,7 +10355,7 @@ undertilde \align center \begin_inset Tabular - + @@ -10785,7 +10379,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -10800,11 +10394,11 @@ A \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\utilde{A}$ +\begin_inset Formula $\utilde{A}$ \end_inset @@ -10904,7 +10498,7 @@ Accents ! for several characters \begin_inset Tabular - + @@ -10922,29 +10516,13 @@ 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 - - + + \begin_inset Text \begin_layout Plain Layout @@ -10959,11 +10537,11 @@ A=B \end_inset - + \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 @@ -10972,8 +10550,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10988,11 +10566,11 @@ A=B \end_inset - + \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 @@ -11001,8 +10579,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -11017,11 +10595,11 @@ A=B \end_inset - + \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 @@ -11030,8 +10608,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -11050,7 +10628,7 @@ 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 @@ -11070,7 +10648,7 @@ A=B \begin_inset Tabular - + @@ -11093,8 +10671,8 @@ Result \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -11109,11 +10687,11 @@ A=B \end_inset - + \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 @@ -11122,8 +10700,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -11138,11 +10716,11 @@ A=B \end_inset - + \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 @@ -11151,8 +10729,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -11167,11 +10745,11 @@ A=B \end_inset - + \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 @@ -11180,8 +10758,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -11200,7 +10778,7 @@ 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 @@ -11398,10 +10976,6 @@ arg "math-insert \\space" Space \family default afterwards. -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -11409,7 +10983,7 @@ Space \align center \begin_inset Tabular - + @@ -11447,7 +11021,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -11458,7 +11032,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11467,7 +11041,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11481,7 +11055,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -11492,7 +11066,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11501,7 +11075,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11515,7 +11089,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -11526,7 +11100,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11535,7 +11109,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11549,7 +11123,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -11560,7 +11134,7 @@ quad \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11569,7 +11143,7 @@ quad \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11583,7 +11157,7 @@ quad - + \begin_inset Text \begin_layout Plain Layout @@ -11594,7 +11168,7 @@ qquad \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11603,7 +11177,7 @@ qquad \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11627,7 +11201,7 @@ qquad \begin_inset Tabular - + @@ -11665,7 +11239,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -11676,7 +11250,7 @@ hfill \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11685,7 +11259,7 @@ hfill \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11699,7 +11273,7 @@ hfill - + \begin_inset Text \begin_layout Plain Layout @@ -11710,7 +11284,7 @@ hspace*{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11719,7 +11293,7 @@ hspace*{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11733,7 +11307,7 @@ hspace*{1em} - + \begin_inset Text \begin_layout Plain Layout @@ -11744,7 +11318,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11753,7 +11327,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11767,7 +11341,7 @@ hspace{1em} - + \begin_inset Text \begin_layout Plain Layout @@ -11782,7 +11356,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11791,7 +11365,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11805,7 +11379,7 @@ hspace{1em} - + \begin_inset Text \begin_layout Plain Layout @@ -11816,7 +11390,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11825,7 +11399,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11875,17 +11449,13 @@ 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 - + @@ -12008,18 +11578,14 @@ g. \end_inset useful for summation operators: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -12036,29 +11602,13 @@ 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 - + \begin_inset Text \begin_layout Plain Layout @@ -12075,11 +11625,11 @@ f_kl \end_inset - + \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 @@ -12089,7 +11639,7 @@ f_kl - + \begin_inset Text \begin_layout Plain Layout @@ -12108,11 +11658,11 @@ f_kl \end_inset - + \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 @@ -12142,10 +11692,6 @@ 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 @@ -12183,25 +11729,6 @@ 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 @@ -12538,19 +12065,12 @@ hfill is used. \end_layout -\begin_layout Standard -\begin_inset VSpace -1mm -\end_inset - - -\end_layout - \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -12575,7 +12095,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -12596,7 +12116,7 @@ cm) \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -12610,7 +12130,7 @@ cm) - + \begin_inset Text \begin_layout Plain Layout @@ -12631,7 +12151,7 @@ mm) \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -12931,6 +12451,13 @@ 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 @@ -13190,18 +12717,14 @@ framebox fbox \series default . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -13218,29 +12741,13 @@ 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 - - + + \begin_inset Text \begin_layout Plain Layout @@ -13265,11 +12772,11 @@ A=B \end_inset - + \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 @@ -13278,8 +12785,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -13300,11 +12807,11 @@ A=B \end_inset - + \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 @@ -13313,8 +12820,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -13329,11 +12836,11 @@ B \end_inset - + \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 @@ -13342,8 +12849,8 @@ B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -13380,22 +12887,14 @@ B \end_inset - + \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 @@ -13714,20 +13213,14 @@ raisebox \end_inset -\series default - -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -13750,7 +13243,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -13771,7 +13264,7 @@ raisebox{2mm \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -13785,7 +13278,7 @@ raisebox{2mm - + \begin_inset Text \begin_layout Plain Layout @@ -13806,7 +13299,7 @@ lo \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -14097,20 +13590,14 @@ white and \series bold yellow -\series default - -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -14127,29 +13614,13 @@ 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 - + \begin_inset Text \begin_layout Plain Layout @@ -14166,11 +13637,11 @@ colorbox{yellow \end_inset - + \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 @@ -14179,8 +13650,8 @@ colorbox{yellow \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -14203,11 +13674,11 @@ A=B \end_inset - + \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 @@ -14216,8 +13687,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -14254,11 +13725,11 @@ C=D \end_inset - + \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 @@ -14975,26 +14446,6 @@ 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 @@ -15414,7 +14865,7 @@ Options \begin_inset Tabular - + @@ -15438,7 +14889,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -15461,7 +14912,7 @@ int \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15475,7 +14926,7 @@ int - + \begin_inset Text \begin_layout Plain Layout @@ -15486,7 +14937,7 @@ oint \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15500,7 +14951,7 @@ oint - + \begin_inset Text \begin_layout Plain Layout @@ -15511,7 +14962,7 @@ ointctrclockwise \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15525,7 +14976,7 @@ ointctrclockwise - + \begin_inset Text \begin_layout Plain Layout @@ -15536,7 +14987,7 @@ ointclockwise \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15550,7 +15001,7 @@ ointclockwise - + \begin_inset Text \begin_layout Plain Layout @@ -15561,7 +15012,7 @@ sqint \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15575,7 +15026,7 @@ sqint - + \begin_inset Text \begin_layout Plain Layout @@ -15586,7 +15037,7 @@ fint \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15601,7 +15052,7 @@ fint - + \begin_inset Text \begin_layout Plain Layout @@ -15612,7 +15063,7 @@ landupint \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15627,7 +15078,7 @@ landupint - + \begin_inset Text \begin_layout Plain Layout @@ -15638,7 +15089,7 @@ landdownint \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15653,7 +15104,7 @@ landdownint - + \begin_inset Text \begin_layout Plain Layout @@ -15664,7 +15115,7 @@ bigcap \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15678,7 +15129,7 @@ bigcap - + \begin_inset Text \begin_layout Plain Layout @@ -15689,7 +15140,7 @@ bigcup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15713,7 +15164,7 @@ bigcup \begin_inset Tabular - + @@ -15737,7 +15188,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -15760,7 +15211,7 @@ sum \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15774,7 +15225,7 @@ sum - + \begin_inset Text \begin_layout Plain Layout @@ -15810,7 +15261,7 @@ vspace{4mm} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15824,7 +15275,7 @@ vspace{4mm} - + \begin_inset Text \begin_layout Plain Layout @@ -15835,7 +15286,7 @@ coprod \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15849,7 +15300,7 @@ coprod - + \begin_inset Text \begin_layout Plain Layout @@ -15860,7 +15311,7 @@ bigodot \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15874,7 +15325,7 @@ bigodot - + \begin_inset Text \begin_layout Plain Layout @@ -15885,7 +15336,7 @@ bigotimes \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15899,7 +15350,7 @@ bigotimes - + \begin_inset Text \begin_layout Plain Layout @@ -15910,7 +15361,7 @@ bigoplus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15924,7 +15375,7 @@ bigoplus - + \begin_inset Text \begin_layout Plain Layout @@ -15935,7 +15386,7 @@ bigwedge \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15949,7 +15400,7 @@ bigwedge - + \begin_inset Text \begin_layout Plain Layout @@ -15960,7 +15411,7 @@ bigvee \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15974,7 +15425,7 @@ bigvee - + \begin_inset Text \begin_layout Plain Layout @@ -15985,7 +15436,7 @@ bigsqcup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15999,7 +15450,7 @@ bigsqcup - + \begin_inset Text \begin_layout Plain Layout @@ -16010,7 +15461,7 @@ biguplus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -16181,9 +15632,9 @@ For multiple integrals there are the following commands: \begin_inset Tabular - - - + + + \begin_inset Text @@ -16199,29 +15650,13 @@ 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 - - + + \begin_inset Text \begin_layout Plain Layout @@ -16232,11 +15667,11 @@ iint \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\iint\raisebox{-2.5mm}{}$ +\begin_inset Formula $\iint$ \end_inset @@ -16245,8 +15680,8 @@ iint \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -16257,11 +15692,11 @@ oiint \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\oiint\raisebox{-2.5mm}{}$ +\begin_inset Formula $\oiint$ \end_inset @@ -16270,8 +15705,8 @@ oiint \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -16282,11 +15717,11 @@ sqiint \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\sqiint\raisebox{-2.5mm}{}$ +\begin_inset Formula $\sqiint$ \end_inset @@ -16306,9 +15741,9 @@ sqiint \begin_inset Tabular - - - + + + \begin_inset Text @@ -16329,8 +15764,8 @@ Result \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -16341,11 +15776,11 @@ iiint \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\iiint\raisebox{-2.5mm}{}$ +\begin_inset Formula $\iiint$ \end_inset @@ -16354,8 +15789,8 @@ iiint \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -16366,11 +15801,11 @@ iiiint \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\iiiint\raisebox{-2.5mm}{}$ +\begin_inset Formula $\iiiint$ \end_inset @@ -16379,8 +15814,8 @@ iiiint \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -16391,11 +15826,11 @@ dotsint \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\dotsint\raisebox{-2.5mm}{}$ +\begin_inset Formula $\dotsint$ \end_inset @@ -16438,17 +15873,13 @@ 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 - + @@ -16466,29 +15897,13 @@ 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 - + \begin_inset Text \begin_layout Plain Layout @@ -16513,11 +15928,11 @@ A(x) \end_inset - + \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 @@ -17308,13 +16723,9 @@ 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 - + @@ -17354,7 +16765,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -17363,7 +16774,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17377,7 +16788,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -17386,7 +16797,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17400,7 +16811,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -17411,7 +16822,7 @@ pm \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17425,7 +16836,7 @@ pm - + \begin_inset Text \begin_layout Plain Layout @@ -17436,7 +16847,7 @@ mp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17450,7 +16861,7 @@ mp - + \begin_inset Text \begin_layout Plain Layout @@ -17461,7 +16872,7 @@ cdot \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17475,7 +16886,7 @@ cdot - + \begin_inset Text \begin_layout Plain Layout @@ -17486,7 +16897,7 @@ times \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17500,7 +16911,7 @@ times - + \begin_inset Text \begin_layout Plain Layout @@ -17511,7 +16922,7 @@ div \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17525,7 +16936,7 @@ div - + \begin_inset Text \begin_layout Plain Layout @@ -17557,7 +16968,7 @@ status collapsed \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17571,7 +16982,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -17582,7 +16993,7 @@ star \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17596,7 +17007,7 @@ star - + \begin_inset Text \begin_layout Plain Layout @@ -17607,7 +17018,7 @@ circ \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17621,7 +17032,7 @@ circ - + \begin_inset Text \begin_layout Plain Layout @@ -17632,7 +17043,7 @@ diamond \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17646,7 +17057,7 @@ diamond - + \begin_inset Text \begin_layout Plain Layout @@ -17657,7 +17068,7 @@ bullet \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17681,7 +17092,7 @@ bullet \begin_inset Tabular - + @@ -17705,7 +17116,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -17716,7 +17127,7 @@ nabla \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17730,7 +17141,7 @@ nabla - + \begin_inset Text \begin_layout Plain Layout @@ -17741,7 +17152,7 @@ bigtriangledown \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17755,7 +17166,7 @@ bigtriangledown - + \begin_inset Text \begin_layout Plain Layout @@ -17766,7 +17177,7 @@ bigtriangleup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17780,7 +17191,7 @@ bigtriangleup - + \begin_inset Text \begin_layout Plain Layout @@ -17791,7 +17202,7 @@ Box \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17805,7 +17216,7 @@ Box - + \begin_inset Text \begin_layout Plain Layout @@ -17816,7 +17227,7 @@ cap \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17830,7 +17241,7 @@ cap - + \begin_inset Text \begin_layout Plain Layout @@ -17841,7 +17252,7 @@ cup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17855,7 +17266,7 @@ cup - + \begin_inset Text \begin_layout Plain Layout @@ -17866,7 +17277,7 @@ dagger \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17880,7 +17291,7 @@ dagger - + \begin_inset Text \begin_layout Plain Layout @@ -17891,7 +17302,7 @@ ddagger \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17905,7 +17316,7 @@ ddagger - + \begin_inset Text \begin_layout Plain Layout @@ -17916,7 +17327,7 @@ wr \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17930,7 +17341,7 @@ wr - + \begin_inset Text \begin_layout Plain Layout @@ -17941,7 +17352,7 @@ bigcirc \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17955,7 +17366,7 @@ bigcirc - + \begin_inset Text \begin_layout Plain Layout @@ -17966,7 +17377,7 @@ wedge \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17980,7 +17391,7 @@ wedge - + \begin_inset Text \begin_layout Plain Layout @@ -17991,7 +17402,7 @@ vee \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18015,7 +17426,7 @@ vee \begin_inset Tabular - + @@ -18039,7 +17450,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -18050,7 +17461,7 @@ oplus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18064,7 +17475,7 @@ oplus - + \begin_inset Text \begin_layout Plain Layout @@ -18075,7 +17486,7 @@ ominus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18089,7 +17500,7 @@ ominus - + \begin_inset Text \begin_layout Plain Layout @@ -18100,7 +17511,7 @@ otimes \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18114,7 +17525,7 @@ otimes - + \begin_inset Text \begin_layout Plain Layout @@ -18125,7 +17536,7 @@ oslash \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18139,7 +17550,7 @@ oslash - + \begin_inset Text \begin_layout Plain Layout @@ -18150,7 +17561,7 @@ odot \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18164,7 +17575,7 @@ odot - + \begin_inset Text \begin_layout Plain Layout @@ -18175,7 +17586,7 @@ amalg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18189,7 +17600,7 @@ amalg - + \begin_inset Text \begin_layout Plain Layout @@ -18200,7 +17611,7 @@ uplus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18214,7 +17625,7 @@ uplus - + \begin_inset Text \begin_layout Plain Layout @@ -18225,7 +17636,7 @@ setminus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18239,7 +17650,7 @@ setminus - + \begin_inset Text \begin_layout Plain Layout @@ -18250,7 +17661,7 @@ sqcap \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18264,7 +17675,7 @@ sqcap - + \begin_inset Text \begin_layout Plain Layout @@ -18275,7 +17686,7 @@ sqcup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18289,7 +17700,7 @@ sqcup - + \begin_inset Text \begin_layout Plain Layout @@ -18300,7 +17711,7 @@ triangleleft \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18314,7 +17725,7 @@ triangleleft - + \begin_inset Text \begin_layout Plain Layout @@ -18325,7 +17736,7 @@ triangleright \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18343,10 +17754,6 @@ triangleright \end_inset -\begin_inset space \hfill{} -\end_inset - - \end_layout \begin_layout Standard @@ -18715,13 +18122,10 @@ 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 - - + + + @@ -18741,11 +18145,20 @@ Command Result \end_layout +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +Shortcut +\end_layout + \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18764,7 +18177,7 @@ ABC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18774,11 +18187,20 @@ ABC \end_layout +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +- +\end_layout + \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18797,7 +18219,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18805,13 +18227,27 @@ AbC \end_inset +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Info +type "shortcut" +arg "font-bold" +\end_inset + + \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18830,7 +18266,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18838,13 +18274,27 @@ AbC \end_inset +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Info +type "shortcut" +arg "font-boldsymbol" +\end_inset + + \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18863,7 +18313,7 @@ ABC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18873,11 +18323,20 @@ ABC \end_layout +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +- +\end_layout + \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18896,7 +18355,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18906,6 +18365,15 @@ AbC \end_layout +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +- +\end_layout + \end_inset @@ -18914,13 +18382,14 @@ AbC \end_inset -\begin_inset space \hfill{} -\end_inset - +\end_layout +\begin_layout Standard +\align center \begin_inset Tabular - - + + + @@ -18940,11 +18409,20 @@ Command Result \end_layout +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +Shortcut +\end_layout + \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18963,7 +18441,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18973,11 +18451,20 @@ AbC \end_layout +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +- +\end_layout + \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18996,7 +18483,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19004,13 +18491,27 @@ AbC \end_inset +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Info +type "shortcut" +arg "font-roman" +\end_inset + + \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19029,7 +18530,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19037,13 +18538,27 @@ AbC \end_inset +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Info +type "shortcut" +arg "font-sans" +\end_inset + + \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19062,7 +18577,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19070,13 +18585,27 @@ AbC \end_inset +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Info +type "shortcut" +arg "font-typewriter" +\end_inset + + \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19095,7 +18624,7 @@ ABC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19107,13 +18636,18 @@ ABC \end_inset - - + +\begin_inset Text -\end_inset +\begin_layout Plain Layout +- +\end_layout +\end_inset + + + -\begin_inset space \hfill{} \end_inset @@ -19649,10 +19183,6 @@ arg "math-insert \\style" \end_inset : -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -19660,8 +19190,8 @@ arg "math-insert \\style" \align center \begin_inset Tabular - - + + @@ -19678,29 +19208,13 @@ 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 - + \begin_inset Text \begin_layout Plain Layout @@ -19723,11 +19237,11 @@ displaystyle \end_inset - + \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 @@ -19736,8 +19250,8 @@ displaystyle \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -19748,11 +19262,11 @@ textstyle \end_inset - + \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 @@ -19762,7 +19276,7 @@ textstyle - + \begin_inset Text \begin_layout Plain Layout @@ -19773,11 +19287,11 @@ scriptstyle \end_inset - + \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 @@ -19787,7 +19301,7 @@ scriptstyle - + \begin_inset Text \begin_layout Plain Layout @@ -19798,11 +19312,11 @@ scriptscriptstyle \end_inset - + \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 @@ -20019,7 +19533,7 @@ Greek letters ! small \begin_inset Tabular - + @@ -20043,7 +19557,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -20054,7 +19568,7 @@ alpha \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20068,7 +19582,7 @@ alpha - + \begin_inset Text \begin_layout Plain Layout @@ -20079,7 +19593,7 @@ beta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20093,7 +19607,7 @@ beta - + \begin_inset Text \begin_layout Plain Layout @@ -20104,7 +19618,7 @@ gamma \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20118,7 +19632,7 @@ gamma - + \begin_inset Text \begin_layout Plain Layout @@ -20129,7 +19643,7 @@ delta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20143,7 +19657,7 @@ delta - + \begin_inset Text \begin_layout Plain Layout @@ -20154,7 +19668,7 @@ epsilon \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20168,7 +19682,7 @@ epsilon - + \begin_inset Text \begin_layout Plain Layout @@ -20179,7 +19693,7 @@ varepsilon \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20193,7 +19707,7 @@ varepsilon - + \begin_inset Text \begin_layout Plain Layout @@ -20204,7 +19718,7 @@ zeta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20218,7 +19732,7 @@ zeta - + \begin_inset Text \begin_layout Plain Layout @@ -20229,7 +19743,7 @@ eta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20243,7 +19757,7 @@ eta - + \begin_inset Text \begin_layout Plain Layout @@ -20254,7 +19768,7 @@ theta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20268,7 +19782,7 @@ theta - + \begin_inset Text \begin_layout Plain Layout @@ -20279,7 +19793,7 @@ vartheta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20303,7 +19817,7 @@ vartheta \begin_inset Tabular - + @@ -20327,7 +19841,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -20338,7 +19852,7 @@ iota \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20352,7 +19866,7 @@ iota - + \begin_inset Text \begin_layout Plain Layout @@ -20363,7 +19877,7 @@ kappa \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20377,7 +19891,7 @@ kappa - + \begin_inset Text \begin_layout Plain Layout @@ -20388,7 +19902,7 @@ varkappa \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20402,7 +19916,7 @@ varkappa - + \begin_inset Text \begin_layout Plain Layout @@ -20413,7 +19927,7 @@ lambda \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20427,7 +19941,7 @@ lambda - + \begin_inset Text \begin_layout Plain Layout @@ -20438,7 +19952,7 @@ mu \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20452,7 +19966,7 @@ mu - + \begin_inset Text \begin_layout Plain Layout @@ -20463,7 +19977,7 @@ nu \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20477,7 +19991,7 @@ nu - + \begin_inset Text \begin_layout Plain Layout @@ -20488,7 +20002,7 @@ xi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20502,7 +20016,7 @@ xi - + \begin_inset Text \begin_layout Plain Layout @@ -20511,7 +20025,7 @@ o \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20525,7 +20039,7 @@ o - + \begin_inset Text \begin_layout Plain Layout @@ -20536,7 +20050,7 @@ pi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20550,7 +20064,7 @@ pi - + \begin_inset Text \begin_layout Plain Layout @@ -20561,7 +20075,7 @@ varpi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20575,7 +20089,7 @@ varpi - + \begin_inset Text \begin_layout Plain Layout @@ -20586,7 +20100,7 @@ rho \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20610,7 +20124,7 @@ rho \begin_inset Tabular - + @@ -20634,7 +20148,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -20645,7 +20159,7 @@ varrho \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20659,7 +20173,7 @@ varrho - + \begin_inset Text \begin_layout Plain Layout @@ -20670,7 +20184,7 @@ sigma \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20684,7 +20198,7 @@ sigma - + \begin_inset Text \begin_layout Plain Layout @@ -20695,7 +20209,7 @@ varsigma \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20709,7 +20223,7 @@ varsigma - + \begin_inset Text \begin_layout Plain Layout @@ -20720,7 +20234,7 @@ tau \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20734,7 +20248,7 @@ tau - + \begin_inset Text \begin_layout Plain Layout @@ -20745,7 +20259,7 @@ upsilon \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20759,7 +20273,7 @@ upsilon - + \begin_inset Text \begin_layout Plain Layout @@ -20770,7 +20284,7 @@ phi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20784,7 +20298,7 @@ phi - + \begin_inset Text \begin_layout Plain Layout @@ -20795,7 +20309,7 @@ varphi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20809,7 +20323,7 @@ varphi - + \begin_inset Text \begin_layout Plain Layout @@ -20820,7 +20334,7 @@ chi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20834,7 +20348,7 @@ chi - + \begin_inset Text \begin_layout Plain Layout @@ -20845,7 +20359,7 @@ psi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20859,7 +20373,7 @@ psi - + \begin_inset Text \begin_layout Plain Layout @@ -20870,7 +20384,7 @@ omega \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20933,7 +20447,7 @@ Greek letters ! big \begin_inset Tabular - + @@ -20957,7 +20471,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -20968,7 +20482,7 @@ Gamma \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20982,7 +20496,7 @@ Gamma - + \begin_inset Text \begin_layout Plain Layout @@ -20993,7 +20507,7 @@ Delta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21007,7 +20521,7 @@ Delta - + \begin_inset Text \begin_layout Plain Layout @@ -21018,7 +20532,7 @@ Theta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21032,7 +20546,7 @@ Theta - + \begin_inset Text \begin_layout Plain Layout @@ -21043,7 +20557,7 @@ Lambda \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21057,7 +20571,7 @@ Lambda - + \begin_inset Text \begin_layout Plain Layout @@ -21068,7 +20582,7 @@ Xi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21082,7 +20596,7 @@ Xi - + \begin_inset Text \begin_layout Plain Layout @@ -21093,7 +20607,7 @@ Pi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21117,7 +20631,7 @@ Pi \begin_inset Tabular - + @@ -21141,7 +20655,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -21152,7 +20666,7 @@ Sigma \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21166,7 +20680,7 @@ Sigma - + \begin_inset Text \begin_layout Plain Layout @@ -21177,7 +20691,7 @@ Upsilon \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21191,7 +20705,7 @@ Upsilon - + \begin_inset Text \begin_layout Plain Layout @@ -21202,7 +20716,7 @@ Phi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21216,7 +20730,7 @@ Phi - + \begin_inset Text \begin_layout Plain Layout @@ -21227,7 +20741,7 @@ Psi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21241,7 +20755,7 @@ Psi - + \begin_inset Text \begin_layout Plain Layout @@ -21252,7 +20766,7 @@ Omega \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21406,18 +20920,14 @@ boldsymbol \end_inset . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -21440,7 +20950,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -21455,7 +20965,7 @@ Upsilon \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21469,7 +20979,7 @@ Upsilon - + \begin_inset Text \begin_layout Plain Layout @@ -21484,7 +20994,7 @@ theta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21624,13 +21134,9 @@ Symbols ! mathematical \end_layout \begin_layout Standard -\begin_inset space \hfill{} -\end_inset - - \begin_inset Tabular - + @@ -21647,14 +21153,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21665,7 +21171,7 @@ neg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21679,7 +21185,7 @@ neg - + \begin_inset Text \begin_layout Plain Layout @@ -21690,7 +21196,7 @@ Im \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21704,7 +21210,7 @@ Im - + \begin_inset Text \begin_layout Plain Layout @@ -21715,7 +21221,7 @@ Re \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21729,7 +21235,7 @@ Re - + \begin_inset Text \begin_layout Plain Layout @@ -21740,7 +21246,7 @@ aleph \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21754,7 +21260,7 @@ aleph - + \begin_inset Text \begin_layout Plain Layout @@ -21765,7 +21271,7 @@ partial \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21779,7 +21285,7 @@ partial - + \begin_inset Text \begin_layout Plain Layout @@ -21790,7 +21296,7 @@ infty \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21804,7 +21310,7 @@ infty - + \begin_inset Text \begin_layout Plain Layout @@ -21815,7 +21321,7 @@ wp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21829,7 +21335,7 @@ wp - + \begin_inset Text \begin_layout Plain Layout @@ -21840,7 +21346,7 @@ imath \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21889,7 +21395,7 @@ jmath \begin_inset Tabular - + @@ -21906,7 +21412,7 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \begin_inset Note Note status collapsed @@ -21929,7 +21435,7 @@ raisebox - + \begin_inset Text \begin_layout Plain Layout @@ -21940,7 +21446,7 @@ forall \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21954,7 +21460,7 @@ forall - + \begin_inset Text \begin_layout Plain Layout @@ -21965,7 +21471,7 @@ exists \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21979,7 +21485,7 @@ exists - + \begin_inset Text \begin_layout Plain Layout @@ -21990,7 +21496,7 @@ nexists \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22004,7 +21510,7 @@ nexists - + \begin_inset Text \begin_layout Plain Layout @@ -22015,7 +21521,7 @@ emptyset \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22029,7 +21535,7 @@ emptyset - + \begin_inset Text \begin_layout Plain Layout @@ -22040,7 +21546,7 @@ varnothing \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22054,7 +21560,7 @@ varnothing - + \begin_inset Text \begin_layout Plain Layout @@ -22065,7 +21571,7 @@ dag \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22079,7 +21585,7 @@ dag - + \begin_inset Text \begin_layout Plain Layout @@ -22090,7 +21596,7 @@ ddag \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22104,7 +21610,7 @@ ddag - + \begin_inset Text \begin_layout Plain Layout @@ -22115,7 +21621,7 @@ complement \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22188,7 +21694,7 @@ Bbbk \begin_inset Tabular - + @@ -22205,14 +21711,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22223,7 +21729,7 @@ prime \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22237,7 +21743,7 @@ prime - + \begin_inset Text \begin_layout Plain Layout @@ -22248,7 +21754,7 @@ backprime \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22262,7 +21768,7 @@ backprime - + \begin_inset Text \begin_layout Plain Layout @@ -22273,7 +21779,7 @@ mho \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22287,7 +21793,7 @@ mho - + \begin_inset Text \begin_layout Plain Layout @@ -22298,7 +21804,7 @@ triangle \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22312,7 +21818,7 @@ triangle - + \begin_inset Text \begin_layout Plain Layout @@ -22323,7 +21829,7 @@ angle \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22337,7 +21843,7 @@ angle - + \begin_inset Text \begin_layout Plain Layout @@ -22348,7 +21854,7 @@ measuredangle \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22362,7 +21868,7 @@ measuredangle - + \begin_inset Text \begin_layout Plain Layout @@ -22373,7 +21879,7 @@ sphericalangle \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22387,7 +21893,7 @@ sphericalangle - + \begin_inset Text \begin_layout Plain Layout @@ -22398,7 +21904,7 @@ top \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22441,17 +21947,6 @@ 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 @@ -22480,11 +21975,11 @@ Symbols ! miscellaneous \align center \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -22497,14 +21992,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22515,7 +22010,7 @@ flat \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22529,7 +22024,7 @@ flat - + \begin_inset Text \begin_layout Plain Layout @@ -22540,7 +22035,7 @@ natural \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22554,7 +22049,7 @@ natural - + \begin_inset Text \begin_layout Plain Layout @@ -22565,7 +22060,7 @@ sharp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22579,7 +22074,7 @@ sharp - + \begin_inset Text \begin_layout Plain Layout @@ -22590,7 +22085,7 @@ surd \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22604,7 +22099,7 @@ surd - + \begin_inset Text \begin_layout Plain Layout @@ -22615,7 +22110,7 @@ checkmark \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22629,7 +22124,7 @@ checkmark - + \begin_inset Text \begin_layout Plain Layout @@ -22640,7 +22135,7 @@ yen \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22654,7 +22149,7 @@ yen - + \begin_inset Text \begin_layout Plain Layout @@ -22665,7 +22160,7 @@ pounds \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22679,7 +22174,7 @@ pounds - + \begin_inset Text \begin_layout Plain Layout @@ -22688,7 +22183,7 @@ $ \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22702,7 +22197,7 @@ $ - + \begin_inset Text \begin_layout Plain Layout @@ -22729,10 +22224,14 @@ $ \end_inset +\begin_inset space \hfill{} +\end_inset + + \begin_inset Tabular - - + + @@ -22748,14 +22247,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22766,7 +22265,7 @@ hbar \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22780,7 +22279,7 @@ hbar - + \begin_inset Text \begin_layout Plain Layout @@ -22791,7 +22290,7 @@ hslash \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22805,7 +22304,7 @@ hslash - + \begin_inset Text \begin_layout Plain Layout @@ -22816,7 +22315,7 @@ clubsuit \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22830,7 +22329,7 @@ clubsuit - + \begin_inset Text \begin_layout Plain Layout @@ -22841,7 +22340,7 @@ spadesuit \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22855,7 +22354,7 @@ spadesuit - + \begin_inset Text \begin_layout Plain Layout @@ -22866,7 +22365,7 @@ bigstar \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22880,7 +22379,7 @@ bigstar - + \begin_inset Text \begin_layout Plain Layout @@ -22891,7 +22390,7 @@ blacklozenge \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22905,7 +22404,7 @@ blacklozenge - + \begin_inset Text \begin_layout Plain Layout @@ -22916,7 +22415,7 @@ blacktriangle \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22930,7 +22429,7 @@ blacktriangle - + \begin_inset Text \begin_layout Plain Layout @@ -22941,7 +22440,7 @@ blacktiangledown \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22955,7 +22454,7 @@ blacktiangledown - + \begin_inset Text \begin_layout Plain Layout @@ -22966,7 +22465,7 @@ bullet \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22984,9 +22483,13 @@ bullet \end_inset +\begin_inset space \hfill{} +\end_inset + + \begin_inset Tabular - + @@ -23003,14 +22506,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23021,7 +22524,7 @@ diamondsuit \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23035,7 +22538,7 @@ diamondsuit - + \begin_inset Text \begin_layout Plain Layout @@ -23046,7 +22549,7 @@ Diamond \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23060,7 +22563,7 @@ Diamond - + \begin_inset Text \begin_layout Plain Layout @@ -23071,7 +22574,7 @@ heartsuit \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23085,7 +22588,7 @@ heartsuit - + \begin_inset Text \begin_layout Plain Layout @@ -23096,7 +22599,7 @@ P \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23110,7 +22613,7 @@ P - + \begin_inset Text \begin_layout Plain Layout @@ -23121,7 +22624,7 @@ copyright \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23135,7 +22638,7 @@ copyright - + \begin_inset Text \begin_layout Plain Layout @@ -23146,7 +22649,7 @@ circledR \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23160,7 +22663,7 @@ circledR - + \begin_inset Text \begin_layout Plain Layout @@ -23171,7 +22674,7 @@ maltese \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23185,7 +22688,7 @@ maltese - + \begin_inset Text \begin_layout Plain Layout @@ -23196,7 +22699,7 @@ diagup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23422,31 +22925,39 @@ 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 - + - + \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 - + \begin_inset Text \begin_layout Plain Layout @@ -23455,18 +22966,18 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23475,7 +22986,7 @@ formula \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23486,7 +22997,7 @@ euro \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23500,7 +23011,7 @@ euro - + \begin_inset Text \begin_layout Plain Layout @@ -23509,7 +23020,7 @@ mathematical text \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23518,7 +23029,7 @@ mathematical text \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23532,7 +23043,7 @@ mathematical text - + \begin_inset Text \begin_layout Plain Layout @@ -23542,7 +23053,7 @@ mathematical text \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23553,7 +23064,7 @@ officialeuro \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23580,6 +23091,32 @@ 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 @@ -23636,13 +23173,6 @@ fi \end_inset -\end_layout - -\begin_layout Standard -\begin_inset Newpage newpage -\end_inset - - \end_layout \begin_layout Section @@ -23709,13 +23239,9 @@ arg "math-insert \\leq" \end_layout \begin_layout Standard -\begin_inset space \hfill{} -\end_inset - - \begin_inset Tabular - + @@ -23732,14 +23258,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Relation \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23748,7 +23274,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23762,7 +23288,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -23773,7 +23299,7 @@ le \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23787,7 +23313,7 @@ le - + \begin_inset Text \begin_layout Plain Layout @@ -23798,7 +23324,7 @@ ll \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23812,7 +23338,7 @@ ll - + \begin_inset Text \begin_layout Plain Layout @@ -23823,7 +23349,7 @@ prec \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23837,7 +23363,7 @@ prec - + \begin_inset Text \begin_layout Plain Layout @@ -23848,7 +23374,7 @@ preceq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23862,7 +23388,7 @@ preceq - + \begin_inset Text \begin_layout Plain Layout @@ -23873,7 +23399,7 @@ subset \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23887,7 +23413,7 @@ subset - + \begin_inset Text \begin_layout Plain Layout @@ -23898,7 +23424,7 @@ subseteq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23912,7 +23438,7 @@ subseteq - + \begin_inset Text \begin_layout Plain Layout @@ -23923,7 +23449,7 @@ sqsubseteq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23937,7 +23463,7 @@ sqsubseteq - + \begin_inset Text \begin_layout Plain Layout @@ -23948,7 +23474,7 @@ in \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23962,7 +23488,7 @@ in - + \begin_inset Text \begin_layout Plain Layout @@ -23973,7 +23499,7 @@ vdash \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23987,7 +23513,7 @@ vdash - + \begin_inset Text \begin_layout Plain Layout @@ -23998,7 +23524,7 @@ smile \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24012,7 +23538,7 @@ smile - + \begin_inset Text \begin_layout Plain Layout @@ -24023,7 +23549,7 @@ lhd \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24037,7 +23563,7 @@ lhd - + \begin_inset Text \begin_layout Plain Layout @@ -24048,7 +23574,7 @@ unlhd \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24062,7 +23588,7 @@ unlhd - + \begin_inset Text \begin_layout Plain Layout @@ -24073,7 +23599,7 @@ gtrless \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24087,7 +23613,7 @@ gtrless - + \begin_inset Text \begin_layout Plain Layout @@ -24098,7 +23624,7 @@ mid \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24112,7 +23638,7 @@ mid - + \begin_inset Text \begin_layout Plain Layout @@ -24123,7 +23649,7 @@ nmid \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24147,7 +23673,7 @@ nmid \begin_inset Tabular - + @@ -24164,14 +23690,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Relation \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24180,7 +23706,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24194,7 +23720,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -24205,7 +23731,7 @@ not= \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24219,7 +23745,7 @@ not= - + \begin_inset Text \begin_layout Plain Layout @@ -24230,7 +23756,7 @@ equiv \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24244,7 +23770,7 @@ equiv - + \begin_inset Text \begin_layout Plain Layout @@ -24255,7 +23781,7 @@ sim \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24269,7 +23795,7 @@ sim - + \begin_inset Text \begin_layout Plain Layout @@ -24280,7 +23806,7 @@ simeq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24294,7 +23820,7 @@ simeq - + \begin_inset Text \begin_layout Plain Layout @@ -24305,7 +23831,7 @@ approx \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24319,7 +23845,7 @@ approx - + \begin_inset Text \begin_layout Plain Layout @@ -24330,7 +23856,7 @@ cong \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24344,7 +23870,7 @@ cong - + \begin_inset Text \begin_layout Plain Layout @@ -24355,7 +23881,7 @@ bowtie \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24369,7 +23895,7 @@ bowtie - + \begin_inset Text \begin_layout Plain Layout @@ -24380,7 +23906,7 @@ notin \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24394,7 +23920,7 @@ notin - + \begin_inset Text \begin_layout Plain Layout @@ -24405,7 +23931,7 @@ perp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24419,7 +23945,7 @@ perp - + \begin_inset Text \begin_layout Plain Layout @@ -24430,7 +23956,7 @@ propto \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24444,7 +23970,7 @@ propto - + \begin_inset Text \begin_layout Plain Layout @@ -24455,7 +23981,7 @@ asymp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24469,7 +23995,7 @@ asymp - + \begin_inset Text \begin_layout Plain Layout @@ -24480,7 +24006,7 @@ doteq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24494,7 +24020,7 @@ doteq - + \begin_inset Text \begin_layout Plain Layout @@ -24505,7 +24031,7 @@ circeq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24519,7 +24045,7 @@ circeq - + \begin_inset Text \begin_layout Plain Layout @@ -24530,7 +24056,7 @@ models \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24544,7 +24070,7 @@ models - + \begin_inset Text \begin_layout Plain Layout @@ -24555,7 +24081,7 @@ widehat= \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24579,7 +24105,7 @@ widehat= \begin_inset Tabular - + @@ -24596,14 +24122,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Relation \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24612,7 +24138,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24626,7 +24152,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -24637,7 +24163,7 @@ ge \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24651,7 +24177,7 @@ ge - + \begin_inset Text \begin_layout Plain Layout @@ -24662,7 +24188,7 @@ gg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24676,7 +24202,7 @@ gg - + \begin_inset Text \begin_layout Plain Layout @@ -24687,7 +24213,7 @@ succ \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24701,7 +24227,7 @@ succ - + \begin_inset Text \begin_layout Plain Layout @@ -24712,7 +24238,7 @@ succeq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24726,7 +24252,7 @@ succeq - + \begin_inset Text \begin_layout Plain Layout @@ -24737,7 +24263,7 @@ supset \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24751,7 +24277,7 @@ supset - + \begin_inset Text \begin_layout Plain Layout @@ -24762,7 +24288,7 @@ supseteq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24776,7 +24302,7 @@ supseteq - + \begin_inset Text \begin_layout Plain Layout @@ -24787,7 +24313,7 @@ sqsupseteq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24801,7 +24327,7 @@ sqsupseteq - + \begin_inset Text \begin_layout Plain Layout @@ -24812,7 +24338,7 @@ ni \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24826,7 +24352,7 @@ ni - + \begin_inset Text \begin_layout Plain Layout @@ -24837,7 +24363,7 @@ dashv \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24851,7 +24377,7 @@ dashv - + \begin_inset Text \begin_layout Plain Layout @@ -24862,7 +24388,7 @@ frown \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24876,7 +24402,7 @@ frown - + \begin_inset Text \begin_layout Plain Layout @@ -24887,7 +24413,7 @@ rhd \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24901,7 +24427,7 @@ rhd - + \begin_inset Text \begin_layout Plain Layout @@ -24912,7 +24438,7 @@ unrhd \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24926,7 +24452,7 @@ unrhd - + \begin_inset Text \begin_layout Plain Layout @@ -24937,7 +24463,7 @@ lessgtr \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24951,7 +24477,7 @@ lessgtr - + \begin_inset Text \begin_layout Plain Layout @@ -24962,7 +24488,7 @@ parallel \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24976,7 +24502,7 @@ parallel - + \begin_inset Text \begin_layout Plain Layout @@ -24987,7 +24513,7 @@ nparallel \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25005,10 +24531,6 @@ nparallel \end_inset -\begin_inset space \hfill{} -\end_inset - - \end_layout \begin_layout Standard @@ -25078,18 +24600,14 @@ stackrel \end_inset : -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -25106,29 +24624,13 @@ 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 - - + + \begin_inset Text \begin_layout Plain Layout @@ -25165,11 +24667,11 @@ B \end_inset - + \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 @@ -25224,26 +24726,20 @@ 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 - - - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -25252,7 +24748,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25261,48 +24757,66 @@ Result \end_inset - + + + \begin_inset Text \begin_layout Plain Layout -Command +Asin(x)+B \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout -Result +\begin_inset Formula $Asin(x)+B$ +\end_inset + + \end_layout \end_inset + + +\end_inset + + +\begin_inset space \quad{} +\end_inset + + +\begin_inset Tabular + + + + - + \begin_inset Text \begin_layout Plain Layout -Asin(x)+B +Command \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $Asin(x)+B$ -\end_inset - - +Result \end_layout \end_inset - + + + \begin_inset Text \begin_layout Plain Layout @@ -25313,7 +24827,7 @@ sin(x)+B \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25348,7 +24862,7 @@ The following functions are predefined: \align center \begin_inset Tabular - + @@ -25392,7 +24906,7 @@ Command - + \begin_inset Text \begin_layout Plain Layout @@ -25403,7 +24917,7 @@ sin \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25414,7 +24928,7 @@ sinh \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25425,7 +24939,7 @@ arcsin \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25438,7 +24952,7 @@ sup - + \begin_inset Text \begin_layout Plain Layout @@ -25449,7 +24963,7 @@ cos \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25460,7 +24974,7 @@ cosh \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25471,7 +24985,7 @@ arccos \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25484,7 +24998,7 @@ inf - + \begin_inset Text \begin_layout Plain Layout @@ -25495,7 +25009,7 @@ tan \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25506,7 +25020,7 @@ tanh \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25517,7 +25031,7 @@ arctan \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25530,7 +25044,7 @@ lim - + \begin_inset Text \begin_layout Plain Layout @@ -25541,7 +25055,7 @@ cot \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25552,7 +25066,7 @@ coth \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25563,7 +25077,7 @@ arg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25576,7 +25090,7 @@ liminf - + \begin_inset Text \begin_layout Plain Layout @@ -25587,7 +25101,7 @@ sec \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25598,7 +25112,7 @@ min \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25609,7 +25123,7 @@ deg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25622,7 +25136,7 @@ limsup - + \begin_inset Text \begin_layout Plain Layout @@ -25633,7 +25147,7 @@ csc \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25644,7 +25158,7 @@ max \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25655,7 +25169,7 @@ det \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25668,7 +25182,7 @@ Pr - + \begin_inset Text \begin_layout Plain Layout @@ -25679,7 +25193,7 @@ ln \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25690,7 +25204,7 @@ exp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25701,7 +25215,7 @@ dim \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25714,7 +25228,7 @@ hom - + \begin_inset Text \begin_layout Plain Layout @@ -25725,7 +25239,7 @@ lg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25736,7 +25250,7 @@ log \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25747,7 +25261,7 @@ ker \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25898,17 +25412,13 @@ In \SpecialChar LyX \end_inset : -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - + @@ -25932,7 +25442,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -25943,7 +25453,7 @@ sgn(x)+B \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26043,19 +25553,15 @@ 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 - - - + + + \begin_inset Text @@ -26071,29 +25577,13 @@ 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 - + \begin_inset Text \begin_layout Plain Layout @@ -26104,7 +25594,7 @@ varliminf \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26117,8 +25607,8 @@ varliminf \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -26142,8 +25632,8 @@ varlimsup \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -26167,8 +25657,8 @@ varprojlim \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -26187,10 +25677,6 @@ varinjlim \end_inset -\begin_inset Formula $\raisebox{-2.5mm}{}$ -\end_inset - - \end_layout \end_inset @@ -26215,11 +25701,11 @@ The limit is created by inserting a subscript. \align center \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -26228,31 +25714,11 @@ Command \end_inset - + \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 @@ -26284,7 +25750,7 @@ 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 @@ -26400,10 +25866,6 @@ 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 @@ -26411,11 +25873,11 @@ The characters ^ and _ would normally create a superscript and subscript, \align center \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -26435,7 +25897,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -26450,7 +25912,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26464,7 +25926,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -26475,7 +25937,7 @@ _ \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26511,11 +25973,11 @@ The following commands can only be used in mathematical text or in \SpecialChar \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -26535,7 +25997,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -26546,7 +26008,7 @@ oe \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26560,7 +26022,7 @@ oe - + \begin_inset Text \begin_layout Plain Layout @@ -26571,7 +26033,7 @@ OE \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26585,7 +26047,7 @@ OE - + \begin_inset Text \begin_layout Plain Layout @@ -26596,7 +26058,7 @@ ae \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26610,7 +26072,7 @@ ae - + \begin_inset Text \begin_layout Plain Layout @@ -26621,7 +26083,7 @@ AE \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26635,7 +26097,7 @@ AE - + \begin_inset Text \begin_layout Plain Layout @@ -26646,11 +26108,11 @@ aa \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\textrm{\aa}$ +\begin_inset Formula $\textrm{å}$ \end_inset @@ -26660,7 +26122,7 @@ aa - + \begin_inset Text \begin_layout Plain Layout @@ -26698,7 +26160,7 @@ AA} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26712,7 +26174,7 @@ AA} - + \begin_inset Text \begin_layout Plain Layout @@ -26747,15 +26209,15 @@ i \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout -command +Command \begin_inset Note Note status collapsed @@ -26786,7 +26248,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -26797,7 +26259,7 @@ o \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26811,7 +26273,7 @@ o - + \begin_inset Text \begin_layout Plain Layout @@ -26822,7 +26284,7 @@ O \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26836,7 +26298,7 @@ O - + \begin_inset Text \begin_layout Plain Layout @@ -26847,7 +26309,7 @@ l \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26861,7 +26323,7 @@ l - + \begin_inset Text \begin_layout Plain Layout @@ -26872,7 +26334,7 @@ L \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26886,7 +26348,7 @@ L - + \begin_inset Text \begin_layout Plain Layout @@ -26904,7 +26366,7 @@ L \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26918,7 +26380,7 @@ L - + \begin_inset Text \begin_layout Plain Layout @@ -26936,7 +26398,7 @@ L \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26950,7 +26412,7 @@ L - + \begin_inset Text \begin_layout Plain Layout @@ -27060,11 +26522,11 @@ With the following commands all letters can be accented. \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -27084,7 +26546,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -27099,7 +26561,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27122,7 +26584,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27133,7 +26595,7 @@ status collapsed \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27156,7 +26618,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27171,7 +26633,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27194,7 +26656,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27205,7 +26667,7 @@ status collapsed \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27228,7 +26690,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27243,7 +26705,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27266,7 +26728,7 @@ u e - + \begin_inset Text \begin_layout Plain Layout @@ -27281,7 +26743,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27304,7 +26766,7 @@ b e - + \begin_inset Text \begin_layout Plain Layout @@ -27352,11 +26814,11 @@ t ee \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -27376,7 +26838,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -27391,7 +26853,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27414,7 +26876,7 @@ H e - + \begin_inset Text \begin_layout Plain Layout @@ -27425,7 +26887,7 @@ H e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27448,7 +26910,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27469,7 +26931,7 @@ Tilde \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27492,7 +26954,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27503,7 +26965,7 @@ status collapsed \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27526,7 +26988,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27541,7 +27003,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27564,7 +27026,7 @@ v e - + \begin_inset Text \begin_layout Plain Layout @@ -27579,7 +27041,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27602,7 +27064,7 @@ d e - + \begin_inset Text \begin_layout Plain Layout @@ -27617,7 +27079,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27818,8 +27280,8 @@ textcircled \align center \begin_inset Tabular - - + + @@ -27836,29 +27298,13 @@ 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 - + \begin_inset Text \begin_layout Plain Layout @@ -27869,7 +27315,7 @@ textcircled{w} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27891,8 +27337,8 @@ textcircled{w} \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -27911,14 +27357,10 @@ raisebox{-1.5pt}{W}} \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}$ -\end_inset - - \begin_inset ERT status collapsed @@ -27940,10 +27382,6 @@ raisebox{-1.5pt}W} \end_inset -\begin_inset Formula $\raisebox{-2mm}{}$ -\end_inset - - \end_layout \end_inset @@ -28093,10 +27531,6 @@ Formula ! styles \begin_layout Itemize There are two different alignment styles: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_deeper @@ -28176,10 +27610,6 @@ pt will be used. \end_deeper \begin_layout Itemize And two different numbering styles: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_deeper @@ -28274,27 +27704,27 @@ 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 @@ -28326,13 +27756,13 @@ 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 @@ -28778,6 +28208,13 @@ C & \ne & A \end_inset +\end_layout + +\begin_layout Standard +\begin_inset Newpage newpage +\end_inset + + \end_layout \begin_layout Subsubsection @@ -29335,13 +28772,13 @@ 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 @@ -30589,27 +30026,14 @@ end{subequations} An example: \begin_inset Formula \begin{equation} -A=C-B\label{eq:a} +A=C-B \end{equation} \end_inset \begin_inset ERT -status collapsed - -\begin_layout Plain Layout - - -\backslash -addtocounter{equation}{-1} -\end_layout - -\end_inset - - -\begin_inset ERT -status collapsed +status open \begin_layout Plain Layout @@ -30645,7 +30069,7 @@ C=A+B\label{eq:c} \begin_layout Standard \begin_inset ERT -status collapsed +status open \begin_layout Plain Layout @@ -30671,22 +30095,8 @@ first formula is inserted \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 @@ -30726,36 +30136,13 @@ begin \backslash end \series default - is subnumbered as a, b, -\begin_inset Newline linebreak -\end_inset - -c, \SpecialChar ldots + will be subnumbered with a, b, c, \SpecialChar ldots + in the output. For multiline formulas every line will be subnumbered. - All subnumbered formulas are treated as -\emph on -one -\emph default - numbered formula. - But as every numbered formula increases the counter -\series bold -equation -\series default - by one, the command -\series bold - -\backslash -addtocounter -\series default - is needed to decrease it. - Otherwise the formulas -\begin_inset CommandInset ref -LatexCommand eqref -reference "eq:a" - -\end_inset +\end_layout -, +\begin_layout Standard +Referencing subequations work like for normal equations: \begin_inset CommandInset ref LatexCommand eqref reference "eq:b" @@ -30769,34 +30156,29 @@ 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 + directly after +\series bold + +\backslash +begin{subequations} +\series default + and reference it. + Formula \begin_inset CommandInset ref LatexCommand eqref -reference "eq:f" +reference "eq:Here-is-an" \end_inset -. + is an example. \end_layout \begin_layout Standard -By inserting the commands in \SpecialChar TeX - mode, a space is created between the first - two formulas. +By inserting commands in \SpecialChar TeX + mode, a space is created between the first two + formulas. To revert this -5 \begin_inset space \thinspace{} \end_inset @@ -30837,8 +30219,57 @@ mm space is inserted instead. \end_layout \begin_layout Standard -Here is an example for a multiline formula where the numbering was turned - off for the second line: +To get another subnumber instead of small Latin letters, insert this command + as TeX code after +\series bold + +\backslash +begin{subequations} +\series default +: +\end_layout + +\begin_layout Standard + +\series bold + +\backslash +renewcommand{ +\backslash +theequation}{ +\backslash +theparentequation - +\backslash +roman{equation}} +\end_layout + +\begin_layout Standard + +\series bold + +\backslash +theparentequation +\series default + creates hereby the parent number and +\series bold + +\backslash +roman{equation} +\series default + adds a small Roman number as subnumber. + For more information about the customization of the numbering, see +\begin_inset CommandInset ref +LatexCommand ref +reference "subsec:Numbering-with-Roman" + +\end_inset + +. +\end_layout + +\begin_layout Standard +Here is an example for a multiline formula where the numbering is customized + and turned off for the second line: \begin_inset ERT status collapsed @@ -30852,11 +30283,37 @@ begin{subequations} \end_inset +\begin_inset CommandInset label +LatexCommand label +name "eq:Here-is-an" + +\end_inset + + +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +renewcommand{ +\backslash +theequation}{ +\backslash +theparentequation - +\backslash +roman{equation}} +\end_layout + +\end_inset + + \begin_inset Formula \begin{eqnarray} -A & = & (B-Z)^{2}=(B-Z)(B-Z)\label{eq:d}\\ +A & = & (B-Z)^{2}=(B-Z)(B-Z)\\ & = & B^{2}-ZB-BZ+Z^{2}\nonumber \\ - & = & B^{2}-2BZ+Z^{2}\label{eq:f} + & = & B^{2}-2BZ+Z^{2} \end{eqnarray} \end_inset @@ -31544,10 +31001,24 @@ makeatother \end_inset +\end_layout + +\begin_layout Standard +\begin_inset Newpage newpage +\end_inset + + \end_layout \begin_layout Subsection Numbering with Roman Numbers and Letters +\begin_inset CommandInset label +LatexCommand label +name "subsec:Numbering-with-Roman" + +\end_inset + + \begin_inset Index idx status collapsed @@ -32137,18 +31608,14 @@ ce \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 \align center \begin_inset Tabular - - + + @@ -32165,29 +31632,13 @@ 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 - + \begin_inset Text \begin_layout Plain Layout @@ -32202,11 +31653,11 @@ H2CO3 \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\ce{H2CO3}\raisebox{-2mm}{}$ +\begin_inset Formula $\ce{H2CO3}$ \end_inset @@ -32215,8 +31666,8 @@ H2CO3 \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -32231,11 +31682,11 @@ SO4^2- \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\ce{SO4^{2-}}\raisebox{-2mm}{}$ +\begin_inset Formula $\ce{SO4^{2-}}$ \end_inset @@ -32244,8 +31695,8 @@ SO4^2- \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -32260,11 +31711,11 @@ ce \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\ce{(NH4)2S}\raisebox{-2mm}{}$ +\begin_inset Formula $\ce{(NH4)2S}$ \end_inset @@ -32273,8 +31724,8 @@ ce \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -32289,11 +31740,11 @@ KCr(SO4)2.12H2O \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\ce{KCr(SO4)2.12H2O}\raisebox{-2mm}{}$ +\begin_inset Formula $\ce{KCr(SO4)2.12H2O}$ \end_inset @@ -32302,8 +31753,8 @@ KCr(SO4)2.12H2O \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -32330,11 +31781,11 @@ D \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\ce{A-B\dbond C\tbond D}\raisebox{-2mm}{}$ +\begin_inset Formula $\ce{A-B\dbond C\tbond D}$ \end_inset @@ -32343,8 +31794,8 @@ D \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -32367,11 +31818,11 @@ Th+ \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\ce{_{90}^{227}Th+}\raisebox{-2mm}{}$ +\begin_inset Formula $\ce{_{90}^{227}Th+}$ \end_inset @@ -32381,7 +31832,7 @@ Th+ - + \begin_inset Text \begin_layout Plain Layout @@ -32408,11 +31859,11 @@ Cl \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\ce{\ensuremath{\mu\hyphen}Cl}\raisebox{-2mm}{}$ +\begin_inset Formula $\ce{\ensuremath{\mu\hyphen}Cl}$ \end_inset @@ -32457,7 +31908,7 @@ C \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\ce{CO2 + C <=> 2CO}\raisebox{-2mm}{}$ +\begin_inset Formula $\ce{CO2 + C <=> 2CO}$ \end_inset @@ -32466,8 +31917,8 @@ C \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -32502,11 +31953,11 @@ beta] \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{5mm}{}\ce{CO2 + C ->[\alpha][\beta] 2CO}\raisebox{-4mm}{}$ +\begin_inset Formula $\ce{CO2 + C ->[\alpha][\beta] 2CO}$ \end_inset @@ -33468,18 +32919,14 @@ white \begin_layout Standard A test of the new defined commands: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -33496,29 +32943,13 @@ 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 - + \begin_inset Text \begin_layout Plain Layout @@ -33533,7 +32964,7 @@ B \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -33547,7 +32978,7 @@ B - + \begin_inset Text \begin_layout Plain Layout @@ -33558,11 +32989,11 @@ us{ABcd \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\us{ABcd}\raisebox{-2mm}{}$ +\begin_inset Formula $\us{ABcd}$ \end_inset @@ -33571,8 +33002,8 @@ us{ABcd \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -33601,11 +33032,11 @@ A=B \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}\fb{[2cm]}{}{\int A=B}\raisebox{-4mm}{}$ +\begin_inset Formula $\fb{[2cm]}{}{\int A=B}$ \end_inset @@ -33614,8 +33045,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -33638,11 +33069,11 @@ A=B \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}\cb{red}{\int A=B}\raisebox{-4mm}{}$ +\begin_inset Formula $\cb{red}{\int A=B}$ \end_inset @@ -33651,8 +33082,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -33677,11 +33108,11 @@ A=B \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{6mm}{}\cb[green]{red}{\int A=B}\raisebox{-4mm}{}$ +\begin_inset Formula $\cb[green]{red}{\int A=B}$ \end_inset @@ -34747,6 +34178,35 @@ 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 @@ -34765,6 +34225,20 @@ 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 @@ -34854,21 +34328,17 @@ 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 \align center \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -34888,7 +34358,7 @@ x = -2 - + \begin_inset Text \begin_layout Plain Layout @@ -34897,7 +34367,7 @@ formula: \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -34911,7 +34381,7 @@ formula: - + \begin_inset Text \begin_layout Plain Layout @@ -35124,21 +34594,17 @@ braket \begin_layout Standard The following commands are defined: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -35147,7 +34613,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35158,7 +34624,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -35171,7 +34637,7 @@ psi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35185,7 +34651,7 @@ psi - + \begin_inset Text \begin_layout Plain Layout @@ -35198,7 +34664,7 @@ psi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35212,7 +34678,7 @@ psi - + \begin_inset Text \begin_layout Plain Layout @@ -35227,7 +34693,7 @@ phi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35441,21 +34907,17 @@ The style is a number in the range of 0 \end_inset 3. -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -35464,7 +34926,7 @@ Number \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35475,7 +34937,7 @@ Style (Size) - + \begin_inset Text \begin_layout Plain Layout @@ -35484,7 +34946,7 @@ Style (Size) \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35495,7 +34957,7 @@ display style formula - + \begin_inset Text \begin_layout Plain Layout @@ -35504,7 +34966,7 @@ display style formula \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35515,7 +34977,7 @@ inline formula - + \begin_inset Text \begin_layout Plain Layout @@ -35524,7 +34986,7 @@ inline formula \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35535,7 +34997,7 @@ small - + \begin_inset Text \begin_layout Plain Layout @@ -35544,7 +35006,7 @@ small \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35669,6 +35131,13 @@ As one can see, the distance of the numerator and the denominator to the fraction bar is round about three times the bar thickness. \end_layout +\begin_layout Standard +\begin_inset Newpage newpage +\end_inset + + +\end_layout + \begin_layout Subsection Canceled Formulas \begin_inset Index idx @@ -35716,21 +35185,17 @@ cancel \end_inset -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -35739,34 +35204,18 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout 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 - + \begin_inset Text \begin_layout Plain Layout @@ -35787,11 +35236,11 @@ A=B \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\cancel{\int A=B}\raisebox{-2.5mm}{}$ +\begin_inset Formula $\cancel{\int A=B}$ \end_inset @@ -35800,8 +35249,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -35822,11 +35271,11 @@ A=B \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\bcancel{\int A=B}\raisebox{-2.5mm}{}$ +\begin_inset Formula $\bcancel{\int A=B}$ \end_inset @@ -35835,8 +35284,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -35857,11 +35306,11 @@ A=B \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{4.5mm}{}\xcancel{\int A=B}\raisebox{-2.5mm}{}$ +\begin_inset Formula $\xcancel{\int A=B}$ \end_inset @@ -35871,7 +35320,7 @@ A=B - + \begin_inset Text \begin_layout Plain Layout @@ -35896,11 +35345,11 @@ A=B \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\raisebox{7mm}{}\cancelto{1}{\int A=B}\raisebox{-2.5mm}{}\hspace{3mm}$ +\begin_inset Formula $\cancelto{1}{\int A=B}\hspace{3mm}$ \end_inset @@ -37610,11 +37059,11 @@ Some characters and symbols can be created with several commands. \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -37623,34 +37072,18 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout equivalent to -\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 - + \begin_inset Text \begin_layout Plain Layout @@ -37661,41 +37094,18 @@ ast \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset ERT -status collapsed - -\begin_layout Plain Layout - - -\backslash -raisebox{-1.2mm}{ -\end_layout - -\end_inset - * -\begin_inset ERT -status collapsed - -\begin_layout Plain Layout - -} -\end_layout - -\end_inset - - \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37706,7 +37116,7 @@ choose \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37719,7 +37129,7 @@ binom - + \begin_inset Text \begin_layout Plain Layout @@ -37730,7 +37140,7 @@ geq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37743,7 +37153,7 @@ ge - + \begin_inset Text \begin_layout Plain Layout @@ -37754,7 +37164,7 @@ lbrace \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37765,7 +37175,7 @@ lbrace - + \begin_inset Text \begin_layout Plain Layout @@ -37776,7 +37186,7 @@ lbracket \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37787,7 +37197,7 @@ lbracket - + \begin_inset Text \begin_layout Plain Layout @@ -37798,7 +37208,7 @@ leftarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37811,7 +37221,7 @@ gets - + \begin_inset Text \begin_layout Plain Layout @@ -37822,7 +37232,7 @@ leq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37835,7 +37245,7 @@ le - + \begin_inset Text \begin_layout Plain Layout @@ -37846,7 +37256,7 @@ lor \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37859,7 +37269,7 @@ vee - + \begin_inset Text \begin_layout Plain Layout @@ -37870,7 +37280,7 @@ neq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37883,7 +37293,7 @@ not= - + \begin_inset Text \begin_layout Plain Layout @@ -37894,7 +37304,7 @@ slash \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37905,7 +37315,7 @@ slash - + \begin_inset Text \begin_layout Plain Layout @@ -37916,7 +37326,7 @@ vert \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37937,11 +37347,11 @@ vert \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -37950,7 +37360,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37961,7 +37371,7 @@ equivalent to - + \begin_inset Text \begin_layout Plain Layout @@ -37972,7 +37382,7 @@ backslash \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37987,7 +37397,7 @@ backslash - + \begin_inset Text \begin_layout Plain Layout @@ -37998,7 +37408,7 @@ dasharrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38011,7 +37421,7 @@ dashrightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -38022,7 +37432,7 @@ land \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38035,7 +37445,7 @@ wedge - + \begin_inset Text \begin_layout Plain Layout @@ -38046,7 +37456,7 @@ rbrace \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38057,7 +37467,7 @@ rbrace - + \begin_inset Text \begin_layout Plain Layout @@ -38068,7 +37478,7 @@ rbracket \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38079,7 +37489,7 @@ rbracket - + \begin_inset Text \begin_layout Plain Layout @@ -38090,7 +37500,7 @@ rightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38103,7 +37513,7 @@ to - + \begin_inset Text \begin_layout Plain Layout @@ -38114,7 +37524,7 @@ lnot \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38127,7 +37537,7 @@ neg - + \begin_inset Text \begin_layout Plain Layout @@ -38138,7 +37548,7 @@ ne \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38151,7 +37561,7 @@ not= - + \begin_inset Text \begin_layout Plain Layout @@ -38162,7 +37572,7 @@ owns \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38175,7 +37585,7 @@ ni - + \begin_inset Text \begin_layout Plain Layout @@ -38186,7 +37596,7 @@ square \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38199,7 +37609,7 @@ Box - + \begin_inset Text \begin_layout Plain Layout @@ -38210,7 +37620,7 @@ Vert \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38457,7 +37867,7 @@ key "Checklist" \begin_inset CommandInset href LatexCommand href name "Check list" -target "http://physics.nist.gov/Document/checklist.pdf" +target "http://physics.nist.gov/Pubs/SP811/sec11.html" \end_inset