X-Git-Url: https://git.lyx.org/gitweb/?a=blobdiff_plain;f=lib%2Fdoc%2FMath.lyx;h=9b09d014f2501f294b72b24aa59dcbf8f3d6a4e5;hb=d9db72833ae8c53f58f56cea5ae1af5bd3197d10;hp=b1767d62d17a032813f6fd0860279929d9262b6b;hpb=2b1b233bc01ffa63fa749d0fc34eae6f4ebc00b4;p=lyx.git diff --git a/lib/doc/Math.lyx b/lib/doc/Math.lyx index b1767d62d1..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. @@ -148,18 +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 @@ -277,7 +268,7 @@ author: Uwe Stöhr \family sans -Version 2.1.x +Version 2.2.x \end_layout \begin_layout Standard @@ -1182,7 +1173,7 @@ pt) \begin_inset Text \begin_layout Plain Layout -böp +bp \end_layout \end_inset @@ -1502,10 +1493,6 @@ arg "math-superscript" \end_inset . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -1762,10 +1749,6 @@ A line with the fraction dfrac \series default . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -2300,10 +2283,6 @@ arg "math-insert \\root" \end_inset . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -2656,10 +2635,6 @@ brack \end_inset . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -3015,7 +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 . @@ -3072,10 +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 @@ -3300,10 +3271,6 @@ reference "subsec:Chemical-Symbols-and" \end_inset the following problem occurs: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -3408,10 +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. @@ -3425,10 +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 @@ -3610,14 +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 @@ -3639,14 +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 ). @@ -4149,10 +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 @@ -4806,13 +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. @@ -5013,7 +4961,7 @@ matrix - + \begin_inset Text \begin_layout Plain Layout @@ -5036,7 +4984,7 @@ matrix \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -5167,7 +5115,7 @@ matrix - + \begin_inset Text \begin_layout Plain Layout @@ -5190,7 +5138,7 @@ matrix \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -6028,17 +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 - + @@ -6055,7 +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 @@ -6064,7 +6008,7 @@ all brackets in the same size: \end_inset - + \begin_inset Text @@ -6092,22 +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 @@ -6128,10 +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 @@ -6255,21 +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 @@ -6278,34 +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 @@ -6328,11 +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 @@ -6341,8 +6245,8 @@ Bigm) \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -6365,11 +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 @@ -6378,8 +6282,8 @@ Big) \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -6402,11 +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 @@ -6415,8 +6319,8 @@ Bigr) \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -6431,11 +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 @@ -6530,10 +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 @@ -6781,36 +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 @@ -6821,22 +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 @@ -6848,17 +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 @@ -6875,7 +6736,7 @@ overbrace \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -6888,23 +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 @@ -6916,17 +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 @@ -6943,7 +6781,7 @@ underbrace \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -6957,7 +6795,7 @@ underbrace - + \begin_inset Text \begin_layout Plain Layout @@ -6998,7 +6836,7 @@ C \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7073,46 +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 @@ -7123,23 +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 @@ -7170,17 +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 @@ -7197,7 +6992,7 @@ overbracket \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7210,23 +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 @@ -7258,17 +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 @@ -7297,7 +7069,7 @@ bracket \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7311,7 +7083,7 @@ bracket - + \begin_inset Text \begin_layout Plain Layout @@ -7344,7 +7116,7 @@ C \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7379,46 +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 @@ -7429,22 +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 @@ -7478,22 +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 @@ -7506,23 +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 @@ -7556,22 +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 @@ -7885,11 +7591,11 @@ Arrows ! horizontal \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -7898,7 +7604,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7909,7 +7615,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -7920,7 +7626,7 @@ gets \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7934,7 +7640,7 @@ gets - + \begin_inset Text \begin_layout Plain Layout @@ -7945,7 +7651,7 @@ Leftarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7959,7 +7665,7 @@ Leftarrow - + \begin_inset Text \begin_layout Plain Layout @@ -7970,7 +7676,7 @@ longleftarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -7984,7 +7690,7 @@ longleftarrow - + \begin_inset Text \begin_layout Plain Layout @@ -7995,7 +7701,7 @@ Longleftarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8009,7 +7715,7 @@ Longleftarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8020,7 +7726,7 @@ leftharpoonup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8034,7 +7740,7 @@ leftharpoonup - + \begin_inset Text \begin_layout Plain Layout @@ -8045,7 +7751,7 @@ leftharpoondown \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8059,7 +7765,7 @@ leftharpoondown - + \begin_inset Text \begin_layout Plain Layout @@ -8070,7 +7776,7 @@ hookleftarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8094,11 +7800,11 @@ hookleftarrow \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -8107,7 +7813,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8118,7 +7824,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -8129,7 +7835,7 @@ to \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8143,7 +7849,7 @@ to - + \begin_inset Text \begin_layout Plain Layout @@ -8154,7 +7860,7 @@ Rightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8168,7 +7874,7 @@ Rightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8179,7 +7885,7 @@ longrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8193,7 +7899,7 @@ longrightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8204,7 +7910,7 @@ Longrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8218,7 +7924,7 @@ Longrightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8229,7 +7935,7 @@ rightharpoonup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8243,7 +7949,7 @@ rightharpoonup - + \begin_inset Text \begin_layout Plain Layout @@ -8254,7 +7960,7 @@ rightharpoondown \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8268,7 +7974,7 @@ rightharpoondown - + \begin_inset Text \begin_layout Plain Layout @@ -8279,7 +7985,7 @@ hookrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8310,11 +8016,11 @@ hookrightarrow \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -8323,7 +8029,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8334,7 +8040,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -8345,7 +8051,7 @@ leftrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8359,7 +8065,7 @@ leftrightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8370,7 +8076,7 @@ Leftrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8384,7 +8090,7 @@ Leftrightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8395,7 +8101,7 @@ longleftrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8409,7 +8115,7 @@ longleftrightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8420,7 +8126,7 @@ Longleftrightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8434,7 +8140,7 @@ Longleftrightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -8445,7 +8151,7 @@ rightleftharpoons \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8474,11 +8180,11 @@ rightleftharpoons \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -8487,7 +8193,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8498,7 +8204,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -8509,7 +8215,7 @@ mapsto \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8523,7 +8229,7 @@ mapsto - + \begin_inset Text \begin_layout Plain Layout @@ -8534,7 +8240,7 @@ longmapsto \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8548,7 +8254,7 @@ longmapsto - + \begin_inset Text \begin_layout Plain Layout @@ -8559,7 +8265,7 @@ leadsto \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8573,7 +8279,7 @@ leadsto - + \begin_inset Text \begin_layout Plain Layout @@ -8584,7 +8290,7 @@ dasharrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -8703,11 +8409,11 @@ vspace{4mm} \align center \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -8716,34 +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 @@ -8766,11 +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 @@ -8779,8 +8469,8 @@ F(x) \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -8803,11 +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 @@ -8869,10 +8559,6 @@ always \end_inset -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -8883,11 +8569,11 @@ always \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -8896,34 +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 @@ -8946,11 +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 @@ -8959,8 +8629,8 @@ xleftrightarrow \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -8983,11 +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 @@ -8996,8 +8666,8 @@ xLeftarrow \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9020,11 +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 @@ -9033,8 +8703,8 @@ xRightarrow \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9057,11 +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 @@ -9070,8 +8740,8 @@ xLeftrightarrow \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9094,11 +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 @@ -9107,8 +8777,8 @@ xhookleftarrow \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9131,11 +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 @@ -9155,11 +8825,11 @@ xhookrightarrow \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -9168,34 +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 @@ -9218,11 +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 @@ -9231,8 +8885,8 @@ xleftharpoondown \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9255,11 +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 @@ -9268,8 +8922,8 @@ xleftharpoonup \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9292,11 +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 @@ -9305,8 +8959,8 @@ xrightharpoondown \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9329,11 +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 @@ -9342,8 +8996,8 @@ xrightharpoonup \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9366,11 +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 @@ -9379,8 +9033,8 @@ xleftrightharpoons \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -9403,11 +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 @@ -9429,21 +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 @@ -9452,34 +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 @@ -9496,11 +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 @@ -9547,11 +9181,11 @@ Arrows ! vertical \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -9560,7 +9194,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9571,7 +9205,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -9582,7 +9216,7 @@ uparrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9596,7 +9230,7 @@ uparrow - + \begin_inset Text \begin_layout Plain Layout @@ -9607,7 +9241,7 @@ Uparrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9621,7 +9255,7 @@ Uparrow - + \begin_inset Text \begin_layout Plain Layout @@ -9632,7 +9266,7 @@ updownarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9646,7 +9280,7 @@ updownarrow - + \begin_inset Text \begin_layout Plain Layout @@ -9657,7 +9291,7 @@ Updownarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9671,7 +9305,7 @@ Updownarrow - + \begin_inset Text \begin_layout Plain Layout @@ -9682,7 +9316,7 @@ Downarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9696,7 +9330,7 @@ Downarrow - + \begin_inset Text \begin_layout Plain Layout @@ -9707,7 +9341,7 @@ downarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9731,11 +9365,11 @@ downarrow \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -9744,7 +9378,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9755,7 +9389,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -9766,7 +9400,7 @@ nearrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9780,7 +9414,7 @@ nearrow - + \begin_inset Text \begin_layout Plain Layout @@ -9791,7 +9425,7 @@ searrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9805,7 +9439,7 @@ searrow - + \begin_inset Text \begin_layout Plain Layout @@ -9816,7 +9450,7 @@ swarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -9830,7 +9464,7 @@ swarrow - + \begin_inset Text \begin_layout Plain Layout @@ -9841,7 +9475,7 @@ nwarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -10020,11 +9654,11 @@ Accents ! for one character \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -10033,34 +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 @@ -10075,11 +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 @@ -10088,8 +9706,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10104,11 +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 @@ -10117,8 +9735,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10133,11 +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 @@ -10146,8 +9764,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10162,11 +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 @@ -10175,8 +9793,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10201,11 +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 @@ -10214,8 +9832,8 @@ Vectors \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10230,11 +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 @@ -10243,8 +9861,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10259,11 +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 @@ -10283,11 +9901,11 @@ A \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -10296,7 +9914,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -10306,8 +9924,8 @@ Result \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10322,11 +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 @@ -10335,8 +9953,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10351,11 +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 @@ -10364,8 +9982,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10380,11 +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 @@ -10393,8 +10011,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10409,11 +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 @@ -10422,8 +10040,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10438,11 +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 @@ -10451,8 +10069,8 @@ A \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10467,11 +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 @@ -10547,11 +10165,11 @@ real \align center \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -10560,43 +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 @@ -10605,7 +10201,7 @@ i \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -10625,8 +10221,8 @@ i \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10641,11 +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 @@ -10752,10 +10348,6 @@ undertilde \end_inset -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -10763,7 +10355,7 @@ undertilde \align center \begin_inset Tabular - + @@ -10787,7 +10379,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -10802,11 +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 @@ -10906,7 +10498,7 @@ Accents ! for several characters \begin_inset Tabular - + @@ -10924,29 +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 @@ -10961,11 +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 @@ -10974,8 +10550,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10990,11 +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 @@ -11003,8 +10579,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -11019,11 +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 @@ -11032,8 +10608,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -11052,7 +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 @@ -11072,7 +10648,7 @@ A=B \begin_inset Tabular - + @@ -11095,8 +10671,8 @@ Result \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -11111,11 +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 @@ -11124,8 +10700,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -11140,11 +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 @@ -11153,8 +10729,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -11169,11 +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 @@ -11182,8 +10758,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -11202,7 +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 @@ -11400,10 +10976,6 @@ arg "math-insert \\space" Space \family default afterwards. -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -11411,7 +10983,7 @@ Space \align center \begin_inset Tabular - + @@ -11449,7 +11021,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -11460,7 +11032,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11469,7 +11041,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11483,7 +11055,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -11494,7 +11066,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11503,7 +11075,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11517,7 +11089,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -11528,7 +11100,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11537,7 +11109,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11551,7 +11123,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -11562,7 +11134,7 @@ quad \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11571,7 +11143,7 @@ quad \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11585,7 +11157,7 @@ quad - + \begin_inset Text \begin_layout Plain Layout @@ -11596,7 +11168,7 @@ qquad \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11605,7 +11177,7 @@ qquad \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11629,7 +11201,7 @@ qquad \begin_inset Tabular - + @@ -11667,7 +11239,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -11678,7 +11250,7 @@ hfill \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11687,7 +11259,7 @@ hfill \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11701,7 +11273,7 @@ hfill - + \begin_inset Text \begin_layout Plain Layout @@ -11712,7 +11284,7 @@ hspace*{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11721,7 +11293,7 @@ hspace*{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11735,7 +11307,7 @@ hspace*{1em} - + \begin_inset Text \begin_layout Plain Layout @@ -11746,7 +11318,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11755,7 +11327,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11769,7 +11341,7 @@ hspace{1em} - + \begin_inset Text \begin_layout Plain Layout @@ -11784,7 +11356,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11793,7 +11365,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11807,7 +11379,7 @@ hspace{1em} - + \begin_inset Text \begin_layout Plain Layout @@ -11818,7 +11390,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11827,7 +11399,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11877,17 +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 - + @@ -12010,18 +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 - - + + @@ -12038,29 +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 @@ -12077,11 +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 @@ -12091,7 +11639,7 @@ f_kl - + \begin_inset Text \begin_layout Plain Layout @@ -12110,11 +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 @@ -12144,10 +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 @@ -12185,25 +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 @@ -12540,19 +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 - - + + @@ -12577,7 +12095,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -12598,7 +12116,7 @@ cm) \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -12612,7 +12130,7 @@ cm) - + \begin_inset Text \begin_layout Plain Layout @@ -12633,7 +12151,7 @@ mm) \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -12933,6 +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 @@ -13192,18 +12717,14 @@ framebox fbox \series default . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -13220,29 +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 @@ -13267,11 +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 @@ -13280,8 +12785,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -13302,11 +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 @@ -13315,8 +12820,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -13331,11 +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 @@ -13344,8 +12849,8 @@ B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -13382,22 +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 @@ -13716,20 +13213,14 @@ raisebox \end_inset -\series default - -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -13752,7 +13243,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -13773,7 +13264,7 @@ raisebox{2mm \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -13787,7 +13278,7 @@ raisebox{2mm - + \begin_inset Text \begin_layout Plain Layout @@ -13808,7 +13299,7 @@ lo \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -14099,20 +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 - - + + @@ -14129,29 +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 @@ -14168,11 +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 @@ -14181,8 +13650,8 @@ colorbox{yellow \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -14205,11 +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 @@ -14218,8 +13687,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -14256,11 +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 @@ -14977,26 +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 @@ -15416,7 +14865,7 @@ Options \begin_inset Tabular - + @@ -15440,7 +14889,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -15463,7 +14912,7 @@ int \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15477,7 +14926,7 @@ int - + \begin_inset Text \begin_layout Plain Layout @@ -15488,7 +14937,7 @@ oint \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15502,7 +14951,7 @@ oint - + \begin_inset Text \begin_layout Plain Layout @@ -15513,7 +14962,7 @@ ointctrclockwise \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15527,7 +14976,7 @@ ointctrclockwise - + \begin_inset Text \begin_layout Plain Layout @@ -15538,7 +14987,7 @@ ointclockwise \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15552,7 +15001,7 @@ ointclockwise - + \begin_inset Text \begin_layout Plain Layout @@ -15563,7 +15012,7 @@ sqint \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15577,7 +15026,7 @@ sqint - + \begin_inset Text \begin_layout Plain Layout @@ -15588,7 +15037,7 @@ fint \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15603,7 +15052,7 @@ fint - + \begin_inset Text \begin_layout Plain Layout @@ -15614,7 +15063,7 @@ landupint \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15629,7 +15078,7 @@ landupint - + \begin_inset Text \begin_layout Plain Layout @@ -15640,7 +15089,7 @@ landdownint \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15655,7 +15104,7 @@ landdownint - + \begin_inset Text \begin_layout Plain Layout @@ -15666,7 +15115,7 @@ bigcap \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15680,7 +15129,7 @@ bigcap - + \begin_inset Text \begin_layout Plain Layout @@ -15691,7 +15140,7 @@ bigcup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15715,7 +15164,7 @@ bigcup \begin_inset Tabular - + @@ -15739,7 +15188,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -15762,7 +15211,7 @@ sum \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15776,7 +15225,7 @@ sum - + \begin_inset Text \begin_layout Plain Layout @@ -15812,7 +15261,7 @@ vspace{4mm} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15826,7 +15275,7 @@ vspace{4mm} - + \begin_inset Text \begin_layout Plain Layout @@ -15837,7 +15286,7 @@ coprod \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15851,7 +15300,7 @@ coprod - + \begin_inset Text \begin_layout Plain Layout @@ -15862,7 +15311,7 @@ bigodot \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15876,7 +15325,7 @@ bigodot - + \begin_inset Text \begin_layout Plain Layout @@ -15887,7 +15336,7 @@ bigotimes \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15901,7 +15350,7 @@ bigotimes - + \begin_inset Text \begin_layout Plain Layout @@ -15912,7 +15361,7 @@ bigoplus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15926,7 +15375,7 @@ bigoplus - + \begin_inset Text \begin_layout Plain Layout @@ -15937,7 +15386,7 @@ bigwedge \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15951,7 +15400,7 @@ bigwedge - + \begin_inset Text \begin_layout Plain Layout @@ -15962,7 +15411,7 @@ bigvee \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15976,7 +15425,7 @@ bigvee - + \begin_inset Text \begin_layout Plain Layout @@ -15987,7 +15436,7 @@ bigsqcup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -16001,7 +15450,7 @@ bigsqcup - + \begin_inset Text \begin_layout Plain Layout @@ -16012,7 +15461,7 @@ biguplus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -16183,9 +15632,9 @@ For multiple integrals there are the following commands: \begin_inset Tabular - - - + + + \begin_inset Text @@ -16201,29 +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 @@ -16234,11 +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 @@ -16247,8 +15680,8 @@ iint \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -16259,11 +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 @@ -16272,8 +15705,8 @@ oiint \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -16284,11 +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 @@ -16308,9 +15741,9 @@ sqiint \begin_inset Tabular - - - + + + \begin_inset Text @@ -16331,8 +15764,8 @@ Result \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -16343,11 +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 @@ -16356,8 +15789,8 @@ iiint \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -16368,11 +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 @@ -16381,8 +15814,8 @@ iiiint \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -16393,11 +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 @@ -16440,17 +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 - + @@ -16468,29 +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 @@ -16515,11 +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 @@ -17310,13 +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 - + @@ -17356,7 +16765,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -17365,7 +16774,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17379,7 +16788,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -17388,7 +16797,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17402,7 +16811,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -17413,7 +16822,7 @@ pm \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17427,7 +16836,7 @@ pm - + \begin_inset Text \begin_layout Plain Layout @@ -17438,7 +16847,7 @@ mp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17452,7 +16861,7 @@ mp - + \begin_inset Text \begin_layout Plain Layout @@ -17463,7 +16872,7 @@ cdot \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17477,7 +16886,7 @@ cdot - + \begin_inset Text \begin_layout Plain Layout @@ -17488,7 +16897,7 @@ times \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17502,7 +16911,7 @@ times - + \begin_inset Text \begin_layout Plain Layout @@ -17513,7 +16922,7 @@ div \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17527,7 +16936,7 @@ div - + \begin_inset Text \begin_layout Plain Layout @@ -17559,7 +16968,7 @@ status collapsed \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17573,7 +16982,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -17584,7 +16993,7 @@ star \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17598,7 +17007,7 @@ star - + \begin_inset Text \begin_layout Plain Layout @@ -17609,7 +17018,7 @@ circ \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17623,7 +17032,7 @@ circ - + \begin_inset Text \begin_layout Plain Layout @@ -17634,7 +17043,7 @@ diamond \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17648,7 +17057,7 @@ diamond - + \begin_inset Text \begin_layout Plain Layout @@ -17659,7 +17068,7 @@ bullet \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17683,7 +17092,7 @@ bullet \begin_inset Tabular - + @@ -17707,7 +17116,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -17718,7 +17127,7 @@ nabla \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17732,7 +17141,7 @@ nabla - + \begin_inset Text \begin_layout Plain Layout @@ -17743,7 +17152,7 @@ bigtriangledown \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17757,7 +17166,7 @@ bigtriangledown - + \begin_inset Text \begin_layout Plain Layout @@ -17768,7 +17177,7 @@ bigtriangleup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17782,7 +17191,7 @@ bigtriangleup - + \begin_inset Text \begin_layout Plain Layout @@ -17793,7 +17202,7 @@ Box \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17807,7 +17216,7 @@ Box - + \begin_inset Text \begin_layout Plain Layout @@ -17818,7 +17227,7 @@ cap \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17832,7 +17241,7 @@ cap - + \begin_inset Text \begin_layout Plain Layout @@ -17843,7 +17252,7 @@ cup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17857,7 +17266,7 @@ cup - + \begin_inset Text \begin_layout Plain Layout @@ -17868,7 +17277,7 @@ dagger \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17882,7 +17291,7 @@ dagger - + \begin_inset Text \begin_layout Plain Layout @@ -17893,7 +17302,7 @@ ddagger \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17907,7 +17316,7 @@ ddagger - + \begin_inset Text \begin_layout Plain Layout @@ -17918,7 +17327,7 @@ wr \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17932,7 +17341,7 @@ wr - + \begin_inset Text \begin_layout Plain Layout @@ -17943,7 +17352,7 @@ bigcirc \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17957,7 +17366,7 @@ bigcirc - + \begin_inset Text \begin_layout Plain Layout @@ -17968,7 +17377,7 @@ wedge \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17982,7 +17391,7 @@ wedge - + \begin_inset Text \begin_layout Plain Layout @@ -17993,7 +17402,7 @@ vee \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18017,7 +17426,7 @@ vee \begin_inset Tabular - + @@ -18041,7 +17450,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -18052,7 +17461,7 @@ oplus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18066,7 +17475,7 @@ oplus - + \begin_inset Text \begin_layout Plain Layout @@ -18077,7 +17486,7 @@ ominus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18091,7 +17500,7 @@ ominus - + \begin_inset Text \begin_layout Plain Layout @@ -18102,7 +17511,7 @@ otimes \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18116,7 +17525,7 @@ otimes - + \begin_inset Text \begin_layout Plain Layout @@ -18127,7 +17536,7 @@ oslash \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18141,7 +17550,7 @@ oslash - + \begin_inset Text \begin_layout Plain Layout @@ -18152,7 +17561,7 @@ odot \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18166,7 +17575,7 @@ odot - + \begin_inset Text \begin_layout Plain Layout @@ -18177,7 +17586,7 @@ amalg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18191,7 +17600,7 @@ amalg - + \begin_inset Text \begin_layout Plain Layout @@ -18202,7 +17611,7 @@ uplus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18216,7 +17625,7 @@ uplus - + \begin_inset Text \begin_layout Plain Layout @@ -18227,7 +17636,7 @@ setminus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18241,7 +17650,7 @@ setminus - + \begin_inset Text \begin_layout Plain Layout @@ -18252,7 +17661,7 @@ sqcap \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18266,7 +17675,7 @@ sqcap - + \begin_inset Text \begin_layout Plain Layout @@ -18277,7 +17686,7 @@ sqcup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18291,7 +17700,7 @@ sqcup - + \begin_inset Text \begin_layout Plain Layout @@ -18302,7 +17711,7 @@ triangleleft \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18316,7 +17725,7 @@ triangleleft - + \begin_inset Text \begin_layout Plain Layout @@ -18327,7 +17736,7 @@ triangleright \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18345,10 +17754,6 @@ triangleright \end_inset -\begin_inset space \hfill{} -\end_inset - - \end_layout \begin_layout Standard @@ -18717,13 +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 - - + + + @@ -18743,11 +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 @@ -18766,7 +18177,7 @@ ABC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18776,11 +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 @@ -18799,7 +18219,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18807,13 +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 @@ -18832,7 +18266,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18840,13 +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 @@ -18865,7 +18313,7 @@ ABC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18875,11 +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 @@ -18898,7 +18355,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18908,6 +18365,15 @@ AbC \end_layout +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +- +\end_layout + \end_inset @@ -18916,13 +18382,14 @@ AbC \end_inset -\begin_inset space \hfill{} -\end_inset - +\end_layout +\begin_layout Standard +\align center \begin_inset Tabular - - + + + @@ -18942,11 +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 @@ -18965,7 +18441,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18975,11 +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 @@ -18998,7 +18483,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19006,13 +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 @@ -19031,7 +18530,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19039,13 +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 @@ -19064,7 +18577,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19072,13 +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 @@ -19097,7 +18624,7 @@ ABC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19109,13 +18636,18 @@ ABC \end_inset - - + +\begin_inset Text -\end_inset +\begin_layout Plain Layout +- +\end_layout +\end_inset + + + -\begin_inset space \hfill{} \end_inset @@ -19651,10 +19183,6 @@ arg "math-insert \\style" \end_inset : -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -19662,8 +19190,8 @@ arg "math-insert \\style" \align center \begin_inset Tabular - - + + @@ -19680,29 +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 @@ -19725,11 +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 @@ -19738,8 +19250,8 @@ displaystyle \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -19750,11 +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 @@ -19764,7 +19276,7 @@ textstyle - + \begin_inset Text \begin_layout Plain Layout @@ -19775,11 +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 @@ -19789,7 +19301,7 @@ scriptstyle - + \begin_inset Text \begin_layout Plain Layout @@ -19800,11 +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 @@ -20021,7 +19533,7 @@ Greek letters ! small \begin_inset Tabular - + @@ -20045,7 +19557,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -20056,7 +19568,7 @@ alpha \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20070,7 +19582,7 @@ alpha - + \begin_inset Text \begin_layout Plain Layout @@ -20081,7 +19593,7 @@ beta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20095,7 +19607,7 @@ beta - + \begin_inset Text \begin_layout Plain Layout @@ -20106,7 +19618,7 @@ gamma \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20120,7 +19632,7 @@ gamma - + \begin_inset Text \begin_layout Plain Layout @@ -20131,7 +19643,7 @@ delta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20145,7 +19657,7 @@ delta - + \begin_inset Text \begin_layout Plain Layout @@ -20156,7 +19668,7 @@ epsilon \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20170,7 +19682,7 @@ epsilon - + \begin_inset Text \begin_layout Plain Layout @@ -20181,7 +19693,7 @@ varepsilon \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20195,7 +19707,7 @@ varepsilon - + \begin_inset Text \begin_layout Plain Layout @@ -20206,7 +19718,7 @@ zeta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20220,7 +19732,7 @@ zeta - + \begin_inset Text \begin_layout Plain Layout @@ -20231,7 +19743,7 @@ eta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20245,7 +19757,7 @@ eta - + \begin_inset Text \begin_layout Plain Layout @@ -20256,7 +19768,7 @@ theta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20270,7 +19782,7 @@ theta - + \begin_inset Text \begin_layout Plain Layout @@ -20281,7 +19793,7 @@ vartheta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20305,7 +19817,7 @@ vartheta \begin_inset Tabular - + @@ -20329,7 +19841,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -20340,7 +19852,7 @@ iota \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20354,7 +19866,7 @@ iota - + \begin_inset Text \begin_layout Plain Layout @@ -20365,7 +19877,7 @@ kappa \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20379,7 +19891,7 @@ kappa - + \begin_inset Text \begin_layout Plain Layout @@ -20390,7 +19902,7 @@ varkappa \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20404,7 +19916,7 @@ varkappa - + \begin_inset Text \begin_layout Plain Layout @@ -20415,7 +19927,7 @@ lambda \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20429,7 +19941,7 @@ lambda - + \begin_inset Text \begin_layout Plain Layout @@ -20440,7 +19952,7 @@ mu \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20454,7 +19966,7 @@ mu - + \begin_inset Text \begin_layout Plain Layout @@ -20465,7 +19977,7 @@ nu \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20479,7 +19991,7 @@ nu - + \begin_inset Text \begin_layout Plain Layout @@ -20490,7 +20002,7 @@ xi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20504,7 +20016,7 @@ xi - + \begin_inset Text \begin_layout Plain Layout @@ -20513,7 +20025,7 @@ o \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20527,7 +20039,7 @@ o - + \begin_inset Text \begin_layout Plain Layout @@ -20538,7 +20050,7 @@ pi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20552,7 +20064,7 @@ pi - + \begin_inset Text \begin_layout Plain Layout @@ -20563,7 +20075,7 @@ varpi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20577,7 +20089,7 @@ varpi - + \begin_inset Text \begin_layout Plain Layout @@ -20588,7 +20100,7 @@ rho \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20612,7 +20124,7 @@ rho \begin_inset Tabular - + @@ -20636,7 +20148,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -20647,7 +20159,7 @@ varrho \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20661,7 +20173,7 @@ varrho - + \begin_inset Text \begin_layout Plain Layout @@ -20672,7 +20184,7 @@ sigma \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20686,7 +20198,7 @@ sigma - + \begin_inset Text \begin_layout Plain Layout @@ -20697,7 +20209,7 @@ varsigma \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20711,7 +20223,7 @@ varsigma - + \begin_inset Text \begin_layout Plain Layout @@ -20722,7 +20234,7 @@ tau \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20736,7 +20248,7 @@ tau - + \begin_inset Text \begin_layout Plain Layout @@ -20747,7 +20259,7 @@ upsilon \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20761,7 +20273,7 @@ upsilon - + \begin_inset Text \begin_layout Plain Layout @@ -20772,7 +20284,7 @@ phi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20786,7 +20298,7 @@ phi - + \begin_inset Text \begin_layout Plain Layout @@ -20797,7 +20309,7 @@ varphi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20811,7 +20323,7 @@ varphi - + \begin_inset Text \begin_layout Plain Layout @@ -20822,7 +20334,7 @@ chi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20836,7 +20348,7 @@ chi - + \begin_inset Text \begin_layout Plain Layout @@ -20847,7 +20359,7 @@ psi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20861,7 +20373,7 @@ psi - + \begin_inset Text \begin_layout Plain Layout @@ -20872,7 +20384,7 @@ omega \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20935,7 +20447,7 @@ Greek letters ! big \begin_inset Tabular - + @@ -20959,7 +20471,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -20970,7 +20482,7 @@ Gamma \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20984,7 +20496,7 @@ Gamma - + \begin_inset Text \begin_layout Plain Layout @@ -20995,7 +20507,7 @@ Delta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21009,7 +20521,7 @@ Delta - + \begin_inset Text \begin_layout Plain Layout @@ -21020,7 +20532,7 @@ Theta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21034,7 +20546,7 @@ Theta - + \begin_inset Text \begin_layout Plain Layout @@ -21045,7 +20557,7 @@ Lambda \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21059,7 +20571,7 @@ Lambda - + \begin_inset Text \begin_layout Plain Layout @@ -21070,7 +20582,7 @@ Xi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21084,7 +20596,7 @@ Xi - + \begin_inset Text \begin_layout Plain Layout @@ -21095,7 +20607,7 @@ Pi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21119,7 +20631,7 @@ Pi \begin_inset Tabular - + @@ -21143,7 +20655,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -21154,7 +20666,7 @@ Sigma \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21168,7 +20680,7 @@ Sigma - + \begin_inset Text \begin_layout Plain Layout @@ -21179,7 +20691,7 @@ Upsilon \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21193,7 +20705,7 @@ Upsilon - + \begin_inset Text \begin_layout Plain Layout @@ -21204,7 +20716,7 @@ Phi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21218,7 +20730,7 @@ Phi - + \begin_inset Text \begin_layout Plain Layout @@ -21229,7 +20741,7 @@ Psi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21243,7 +20755,7 @@ Psi - + \begin_inset Text \begin_layout Plain Layout @@ -21254,7 +20766,7 @@ Omega \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21408,18 +20920,14 @@ boldsymbol \end_inset . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -21442,7 +20950,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -21457,7 +20965,7 @@ Upsilon \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21471,7 +20979,7 @@ Upsilon - + \begin_inset Text \begin_layout Plain Layout @@ -21486,7 +20994,7 @@ theta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21626,13 +21134,9 @@ Symbols ! mathematical \end_layout \begin_layout Standard -\begin_inset space \hfill{} -\end_inset - - \begin_inset Tabular - + @@ -21649,14 +21153,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21667,7 +21171,7 @@ neg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21681,7 +21185,7 @@ neg - + \begin_inset Text \begin_layout Plain Layout @@ -21692,7 +21196,7 @@ Im \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21706,7 +21210,7 @@ Im - + \begin_inset Text \begin_layout Plain Layout @@ -21717,7 +21221,7 @@ Re \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21731,7 +21235,7 @@ Re - + \begin_inset Text \begin_layout Plain Layout @@ -21742,7 +21246,7 @@ aleph \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21756,7 +21260,7 @@ aleph - + \begin_inset Text \begin_layout Plain Layout @@ -21767,7 +21271,7 @@ partial \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21781,7 +21285,7 @@ partial - + \begin_inset Text \begin_layout Plain Layout @@ -21792,7 +21296,7 @@ infty \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21806,7 +21310,7 @@ infty - + \begin_inset Text \begin_layout Plain Layout @@ -21817,7 +21321,7 @@ wp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21831,7 +21335,7 @@ wp - + \begin_inset Text \begin_layout Plain Layout @@ -21842,7 +21346,7 @@ imath \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21891,7 +21395,7 @@ jmath \begin_inset Tabular - + @@ -21908,7 +21412,7 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \begin_inset Note Note status collapsed @@ -21931,7 +21435,7 @@ raisebox - + \begin_inset Text \begin_layout Plain Layout @@ -21942,7 +21446,7 @@ forall \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21956,7 +21460,7 @@ forall - + \begin_inset Text \begin_layout Plain Layout @@ -21967,7 +21471,7 @@ exists \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21981,7 +21485,7 @@ exists - + \begin_inset Text \begin_layout Plain Layout @@ -21992,7 +21496,7 @@ nexists \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22006,7 +21510,7 @@ nexists - + \begin_inset Text \begin_layout Plain Layout @@ -22017,7 +21521,7 @@ emptyset \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22031,7 +21535,7 @@ emptyset - + \begin_inset Text \begin_layout Plain Layout @@ -22042,7 +21546,7 @@ varnothing \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22056,7 +21560,7 @@ varnothing - + \begin_inset Text \begin_layout Plain Layout @@ -22067,7 +21571,7 @@ dag \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22081,7 +21585,7 @@ dag - + \begin_inset Text \begin_layout Plain Layout @@ -22092,7 +21596,7 @@ ddag \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22106,7 +21610,7 @@ ddag - + \begin_inset Text \begin_layout Plain Layout @@ -22117,7 +21621,7 @@ complement \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22190,7 +21694,7 @@ Bbbk \begin_inset Tabular - + @@ -22207,14 +21711,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22225,7 +21729,7 @@ prime \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22239,7 +21743,7 @@ prime - + \begin_inset Text \begin_layout Plain Layout @@ -22250,7 +21754,7 @@ backprime \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22264,7 +21768,7 @@ backprime - + \begin_inset Text \begin_layout Plain Layout @@ -22275,7 +21779,7 @@ mho \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22289,7 +21793,7 @@ mho - + \begin_inset Text \begin_layout Plain Layout @@ -22300,7 +21804,7 @@ triangle \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22314,7 +21818,7 @@ triangle - + \begin_inset Text \begin_layout Plain Layout @@ -22325,7 +21829,7 @@ angle \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22339,7 +21843,7 @@ angle - + \begin_inset Text \begin_layout Plain Layout @@ -22350,7 +21854,7 @@ measuredangle \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22364,7 +21868,7 @@ measuredangle - + \begin_inset Text \begin_layout Plain Layout @@ -22375,7 +21879,7 @@ sphericalangle \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22389,7 +21893,7 @@ sphericalangle - + \begin_inset Text \begin_layout Plain Layout @@ -22400,7 +21904,7 @@ top \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22443,17 +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 @@ -22482,11 +21975,11 @@ Symbols ! miscellaneous \align center \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -22499,14 +21992,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22517,7 +22010,7 @@ flat \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22531,7 +22024,7 @@ flat - + \begin_inset Text \begin_layout Plain Layout @@ -22542,7 +22035,7 @@ natural \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22556,7 +22049,7 @@ natural - + \begin_inset Text \begin_layout Plain Layout @@ -22567,7 +22060,7 @@ sharp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22581,7 +22074,7 @@ sharp - + \begin_inset Text \begin_layout Plain Layout @@ -22592,7 +22085,7 @@ surd \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22606,7 +22099,7 @@ surd - + \begin_inset Text \begin_layout Plain Layout @@ -22617,7 +22110,7 @@ checkmark \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22631,7 +22124,7 @@ checkmark - + \begin_inset Text \begin_layout Plain Layout @@ -22642,7 +22135,7 @@ yen \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22656,7 +22149,7 @@ yen - + \begin_inset Text \begin_layout Plain Layout @@ -22667,7 +22160,7 @@ pounds \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22681,7 +22174,7 @@ pounds - + \begin_inset Text \begin_layout Plain Layout @@ -22690,7 +22183,7 @@ $ \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22704,7 +22197,7 @@ $ - + \begin_inset Text \begin_layout Plain Layout @@ -22731,10 +22224,14 @@ $ \end_inset +\begin_inset space \hfill{} +\end_inset + + \begin_inset Tabular - - + + @@ -22750,14 +22247,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22768,7 +22265,7 @@ hbar \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22782,7 +22279,7 @@ hbar - + \begin_inset Text \begin_layout Plain Layout @@ -22793,7 +22290,7 @@ hslash \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22807,7 +22304,7 @@ hslash - + \begin_inset Text \begin_layout Plain Layout @@ -22818,7 +22315,7 @@ clubsuit \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22832,7 +22329,7 @@ clubsuit - + \begin_inset Text \begin_layout Plain Layout @@ -22843,7 +22340,7 @@ spadesuit \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22857,7 +22354,7 @@ spadesuit - + \begin_inset Text \begin_layout Plain Layout @@ -22868,7 +22365,7 @@ bigstar \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22882,7 +22379,7 @@ bigstar - + \begin_inset Text \begin_layout Plain Layout @@ -22893,7 +22390,7 @@ blacklozenge \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22907,7 +22404,7 @@ blacklozenge - + \begin_inset Text \begin_layout Plain Layout @@ -22918,7 +22415,7 @@ blacktriangle \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22932,7 +22429,7 @@ blacktriangle - + \begin_inset Text \begin_layout Plain Layout @@ -22943,7 +22440,7 @@ blacktiangledown \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22957,7 +22454,7 @@ blacktiangledown - + \begin_inset Text \begin_layout Plain Layout @@ -22968,7 +22465,7 @@ bullet \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22986,9 +22483,13 @@ bullet \end_inset +\begin_inset space \hfill{} +\end_inset + + \begin_inset Tabular - + @@ -23005,14 +22506,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23023,7 +22524,7 @@ diamondsuit \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23037,7 +22538,7 @@ diamondsuit - + \begin_inset Text \begin_layout Plain Layout @@ -23048,7 +22549,7 @@ Diamond \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23062,7 +22563,7 @@ Diamond - + \begin_inset Text \begin_layout Plain Layout @@ -23073,7 +22574,7 @@ heartsuit \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23087,7 +22588,7 @@ heartsuit - + \begin_inset Text \begin_layout Plain Layout @@ -23098,7 +22599,7 @@ P \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23112,7 +22613,7 @@ P - + \begin_inset Text \begin_layout Plain Layout @@ -23123,7 +22624,7 @@ copyright \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23137,7 +22638,7 @@ copyright - + \begin_inset Text \begin_layout Plain Layout @@ -23148,7 +22649,7 @@ circledR \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23162,7 +22663,7 @@ circledR - + \begin_inset Text \begin_layout Plain Layout @@ -23173,7 +22674,7 @@ maltese \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23187,7 +22688,7 @@ maltese - + \begin_inset Text \begin_layout Plain Layout @@ -23198,7 +22699,7 @@ diagup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23424,31 +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 @@ -23457,18 +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 @@ -23477,7 +22986,7 @@ formula \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23488,7 +22997,7 @@ euro \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23502,7 +23011,7 @@ euro - + \begin_inset Text \begin_layout Plain Layout @@ -23511,7 +23020,7 @@ mathematical text \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23520,7 +23029,7 @@ mathematical text \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23534,7 +23043,7 @@ mathematical text - + \begin_inset Text \begin_layout Plain Layout @@ -23544,7 +23053,7 @@ mathematical text \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23555,7 +23064,7 @@ officialeuro \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23582,6 +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 @@ -23638,13 +23173,6 @@ fi \end_inset -\end_layout - -\begin_layout Standard -\begin_inset Newpage newpage -\end_inset - - \end_layout \begin_layout Section @@ -23711,13 +23239,9 @@ arg "math-insert \\leq" \end_layout \begin_layout Standard -\begin_inset space \hfill{} -\end_inset - - \begin_inset Tabular - + @@ -23734,14 +23258,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Relation \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23750,7 +23274,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23764,7 +23288,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -23775,7 +23299,7 @@ le \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23789,7 +23313,7 @@ le - + \begin_inset Text \begin_layout Plain Layout @@ -23800,7 +23324,7 @@ ll \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23814,7 +23338,7 @@ ll - + \begin_inset Text \begin_layout Plain Layout @@ -23825,7 +23349,7 @@ prec \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23839,7 +23363,7 @@ prec - + \begin_inset Text \begin_layout Plain Layout @@ -23850,7 +23374,7 @@ preceq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23864,7 +23388,7 @@ preceq - + \begin_inset Text \begin_layout Plain Layout @@ -23875,7 +23399,7 @@ subset \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23889,7 +23413,7 @@ subset - + \begin_inset Text \begin_layout Plain Layout @@ -23900,7 +23424,7 @@ subseteq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23914,7 +23438,7 @@ subseteq - + \begin_inset Text \begin_layout Plain Layout @@ -23925,7 +23449,7 @@ sqsubseteq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23939,7 +23463,7 @@ sqsubseteq - + \begin_inset Text \begin_layout Plain Layout @@ -23950,7 +23474,7 @@ in \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23964,7 +23488,7 @@ in - + \begin_inset Text \begin_layout Plain Layout @@ -23975,7 +23499,7 @@ vdash \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23989,7 +23513,7 @@ vdash - + \begin_inset Text \begin_layout Plain Layout @@ -24000,7 +23524,7 @@ smile \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24014,7 +23538,7 @@ smile - + \begin_inset Text \begin_layout Plain Layout @@ -24025,7 +23549,7 @@ lhd \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24039,7 +23563,7 @@ lhd - + \begin_inset Text \begin_layout Plain Layout @@ -24050,7 +23574,7 @@ unlhd \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24064,7 +23588,7 @@ unlhd - + \begin_inset Text \begin_layout Plain Layout @@ -24075,7 +23599,7 @@ gtrless \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24089,7 +23613,7 @@ gtrless - + \begin_inset Text \begin_layout Plain Layout @@ -24100,7 +23624,7 @@ mid \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24114,7 +23638,7 @@ mid - + \begin_inset Text \begin_layout Plain Layout @@ -24125,7 +23649,7 @@ nmid \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24149,7 +23673,7 @@ nmid \begin_inset Tabular - + @@ -24166,14 +23690,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Relation \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24182,7 +23706,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24196,7 +23720,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -24207,7 +23731,7 @@ not= \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24221,7 +23745,7 @@ not= - + \begin_inset Text \begin_layout Plain Layout @@ -24232,7 +23756,7 @@ equiv \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24246,7 +23770,7 @@ equiv - + \begin_inset Text \begin_layout Plain Layout @@ -24257,7 +23781,7 @@ sim \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24271,7 +23795,7 @@ sim - + \begin_inset Text \begin_layout Plain Layout @@ -24282,7 +23806,7 @@ simeq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24296,7 +23820,7 @@ simeq - + \begin_inset Text \begin_layout Plain Layout @@ -24307,7 +23831,7 @@ approx \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24321,7 +23845,7 @@ approx - + \begin_inset Text \begin_layout Plain Layout @@ -24332,7 +23856,7 @@ cong \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24346,7 +23870,7 @@ cong - + \begin_inset Text \begin_layout Plain Layout @@ -24357,7 +23881,7 @@ bowtie \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24371,7 +23895,7 @@ bowtie - + \begin_inset Text \begin_layout Plain Layout @@ -24382,7 +23906,7 @@ notin \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24396,7 +23920,7 @@ notin - + \begin_inset Text \begin_layout Plain Layout @@ -24407,7 +23931,7 @@ perp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24421,7 +23945,7 @@ perp - + \begin_inset Text \begin_layout Plain Layout @@ -24432,7 +23956,7 @@ propto \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24446,7 +23970,7 @@ propto - + \begin_inset Text \begin_layout Plain Layout @@ -24457,7 +23981,7 @@ asymp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24471,7 +23995,7 @@ asymp - + \begin_inset Text \begin_layout Plain Layout @@ -24482,7 +24006,7 @@ doteq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24496,7 +24020,7 @@ doteq - + \begin_inset Text \begin_layout Plain Layout @@ -24507,7 +24031,7 @@ circeq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24521,7 +24045,7 @@ circeq - + \begin_inset Text \begin_layout Plain Layout @@ -24532,7 +24056,7 @@ models \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24546,7 +24070,7 @@ models - + \begin_inset Text \begin_layout Plain Layout @@ -24557,7 +24081,7 @@ widehat= \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24581,7 +24105,7 @@ widehat= \begin_inset Tabular - + @@ -24598,14 +24122,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Relation \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24614,7 +24138,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24628,7 +24152,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -24639,7 +24163,7 @@ ge \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24653,7 +24177,7 @@ ge - + \begin_inset Text \begin_layout Plain Layout @@ -24664,7 +24188,7 @@ gg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24678,7 +24202,7 @@ gg - + \begin_inset Text \begin_layout Plain Layout @@ -24689,7 +24213,7 @@ succ \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24703,7 +24227,7 @@ succ - + \begin_inset Text \begin_layout Plain Layout @@ -24714,7 +24238,7 @@ succeq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24728,7 +24252,7 @@ succeq - + \begin_inset Text \begin_layout Plain Layout @@ -24739,7 +24263,7 @@ supset \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24753,7 +24277,7 @@ supset - + \begin_inset Text \begin_layout Plain Layout @@ -24764,7 +24288,7 @@ supseteq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24778,7 +24302,7 @@ supseteq - + \begin_inset Text \begin_layout Plain Layout @@ -24789,7 +24313,7 @@ sqsupseteq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24803,7 +24327,7 @@ sqsupseteq - + \begin_inset Text \begin_layout Plain Layout @@ -24814,7 +24338,7 @@ ni \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24828,7 +24352,7 @@ ni - + \begin_inset Text \begin_layout Plain Layout @@ -24839,7 +24363,7 @@ dashv \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24853,7 +24377,7 @@ dashv - + \begin_inset Text \begin_layout Plain Layout @@ -24864,7 +24388,7 @@ frown \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24878,7 +24402,7 @@ frown - + \begin_inset Text \begin_layout Plain Layout @@ -24889,7 +24413,7 @@ rhd \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24903,7 +24427,7 @@ rhd - + \begin_inset Text \begin_layout Plain Layout @@ -24914,7 +24438,7 @@ unrhd \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24928,7 +24452,7 @@ unrhd - + \begin_inset Text \begin_layout Plain Layout @@ -24939,7 +24463,7 @@ lessgtr \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24953,7 +24477,7 @@ lessgtr - + \begin_inset Text \begin_layout Plain Layout @@ -24964,7 +24488,7 @@ parallel \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24978,7 +24502,7 @@ parallel - + \begin_inset Text \begin_layout Plain Layout @@ -24989,7 +24513,7 @@ nparallel \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25007,10 +24531,6 @@ nparallel \end_inset -\begin_inset space \hfill{} -\end_inset - - \end_layout \begin_layout Standard @@ -25080,18 +24600,14 @@ stackrel \end_inset : -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -25108,29 +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 @@ -25167,11 +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 @@ -25226,26 +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 @@ -25254,7 +24748,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25263,48 +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 @@ -25315,7 +24827,7 @@ sin(x)+B \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25350,7 +24862,7 @@ The following functions are predefined: \align center \begin_inset Tabular - + @@ -25394,7 +24906,7 @@ Command - + \begin_inset Text \begin_layout Plain Layout @@ -25405,7 +24917,7 @@ sin \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25416,7 +24928,7 @@ sinh \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25427,7 +24939,7 @@ arcsin \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25440,7 +24952,7 @@ sup - + \begin_inset Text \begin_layout Plain Layout @@ -25451,7 +24963,7 @@ cos \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25462,7 +24974,7 @@ cosh \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25473,7 +24985,7 @@ arccos \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25486,7 +24998,7 @@ inf - + \begin_inset Text \begin_layout Plain Layout @@ -25497,7 +25009,7 @@ tan \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25508,7 +25020,7 @@ tanh \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25519,7 +25031,7 @@ arctan \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25532,7 +25044,7 @@ lim - + \begin_inset Text \begin_layout Plain Layout @@ -25543,7 +25055,7 @@ cot \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25554,7 +25066,7 @@ coth \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25565,7 +25077,7 @@ arg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25578,7 +25090,7 @@ liminf - + \begin_inset Text \begin_layout Plain Layout @@ -25589,7 +25101,7 @@ sec \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25600,7 +25112,7 @@ min \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25611,7 +25123,7 @@ deg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25624,7 +25136,7 @@ limsup - + \begin_inset Text \begin_layout Plain Layout @@ -25635,7 +25147,7 @@ csc \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25646,7 +25158,7 @@ max \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25657,7 +25169,7 @@ det \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25670,7 +25182,7 @@ Pr - + \begin_inset Text \begin_layout Plain Layout @@ -25681,7 +25193,7 @@ ln \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25692,7 +25204,7 @@ exp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25703,7 +25215,7 @@ dim \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25716,7 +25228,7 @@ hom - + \begin_inset Text \begin_layout Plain Layout @@ -25727,7 +25239,7 @@ lg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25738,7 +25250,7 @@ log \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25749,7 +25261,7 @@ ker \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25900,17 +25412,13 @@ In \SpecialChar LyX \end_inset : -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - + @@ -25934,7 +25442,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -25945,7 +25453,7 @@ sgn(x)+B \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26045,19 +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 @@ -26073,29 +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 @@ -26106,7 +25594,7 @@ varliminf \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26119,8 +25607,8 @@ varliminf \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -26144,8 +25632,8 @@ varlimsup \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -26169,8 +25657,8 @@ varprojlim \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -26189,10 +25677,6 @@ varinjlim \end_inset -\begin_inset Formula $\raisebox{-2.5mm}{}$ -\end_inset - - \end_layout \end_inset @@ -26217,11 +25701,11 @@ The limit is created by inserting a subscript. \align center \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -26230,31 +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 @@ -26286,7 +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 @@ -26402,10 +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 @@ -26413,11 +25873,11 @@ The characters ^ and _ would normally create a superscript and subscript, \align center \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -26437,7 +25897,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -26452,7 +25912,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26466,7 +25926,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -26477,7 +25937,7 @@ _ \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26513,11 +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 @@ -26537,7 +25997,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -26548,7 +26008,7 @@ oe \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26562,7 +26022,7 @@ oe - + \begin_inset Text \begin_layout Plain Layout @@ -26573,7 +26033,7 @@ OE \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26587,7 +26047,7 @@ OE - + \begin_inset Text \begin_layout Plain Layout @@ -26598,7 +26058,7 @@ ae \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26612,7 +26072,7 @@ ae - + \begin_inset Text \begin_layout Plain Layout @@ -26623,7 +26083,7 @@ AE \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26637,7 +26097,7 @@ AE - + \begin_inset Text \begin_layout Plain Layout @@ -26648,11 +26108,11 @@ aa \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\textrm{\aa}$ +\begin_inset Formula $\textrm{å}$ \end_inset @@ -26662,7 +26122,7 @@ aa - + \begin_inset Text \begin_layout Plain Layout @@ -26700,7 +26160,7 @@ AA} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26714,7 +26174,7 @@ AA} - + \begin_inset Text \begin_layout Plain Layout @@ -26749,15 +26209,15 @@ i \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout -command +Command \begin_inset Note Note status collapsed @@ -26788,7 +26248,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -26799,7 +26259,7 @@ o \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26813,7 +26273,7 @@ o - + \begin_inset Text \begin_layout Plain Layout @@ -26824,7 +26284,7 @@ O \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26838,7 +26298,7 @@ O - + \begin_inset Text \begin_layout Plain Layout @@ -26849,7 +26309,7 @@ l \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26863,7 +26323,7 @@ l - + \begin_inset Text \begin_layout Plain Layout @@ -26874,7 +26334,7 @@ L \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26888,7 +26348,7 @@ L - + \begin_inset Text \begin_layout Plain Layout @@ -26906,7 +26366,7 @@ L \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26920,7 +26380,7 @@ L - + \begin_inset Text \begin_layout Plain Layout @@ -26938,7 +26398,7 @@ L \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26952,7 +26412,7 @@ L - + \begin_inset Text \begin_layout Plain Layout @@ -27062,11 +26522,11 @@ With the following commands all letters can be accented. \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -27086,7 +26546,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -27101,7 +26561,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27124,7 +26584,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27135,7 +26595,7 @@ status collapsed \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27158,7 +26618,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27173,7 +26633,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27196,7 +26656,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27207,7 +26667,7 @@ status collapsed \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27230,7 +26690,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27245,7 +26705,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27268,7 +26728,7 @@ u e - + \begin_inset Text \begin_layout Plain Layout @@ -27283,7 +26743,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27306,7 +26766,7 @@ b e - + \begin_inset Text \begin_layout Plain Layout @@ -27354,11 +26814,11 @@ t ee \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -27378,7 +26838,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -27393,7 +26853,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27416,7 +26876,7 @@ H e - + \begin_inset Text \begin_layout Plain Layout @@ -27427,7 +26887,7 @@ H e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27450,7 +26910,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27471,7 +26931,7 @@ Tilde \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27494,7 +26954,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27505,7 +26965,7 @@ status collapsed \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27528,7 +26988,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27543,7 +27003,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27566,7 +27026,7 @@ v e - + \begin_inset Text \begin_layout Plain Layout @@ -27581,7 +27041,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27604,7 +27064,7 @@ d e - + \begin_inset Text \begin_layout Plain Layout @@ -27619,7 +27079,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27820,8 +27280,8 @@ textcircled \align center \begin_inset Tabular - - + + @@ -27838,29 +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 @@ -27871,7 +27315,7 @@ textcircled{w} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27893,8 +27337,8 @@ textcircled{w} \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -27913,14 +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 @@ -27942,10 +27382,6 @@ raisebox{-1.5pt}W} \end_inset -\begin_inset Formula $\raisebox{-2mm}{}$ -\end_inset - - \end_layout \end_inset @@ -28095,10 +27531,6 @@ Formula ! styles \begin_layout Itemize There are two different alignment styles: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_deeper @@ -28178,10 +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 @@ -28276,27 +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 @@ -28328,13 +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 @@ -28780,6 +28208,13 @@ C & \ne & A \end_inset +\end_layout + +\begin_layout Standard +\begin_inset Newpage newpage +\end_inset + + \end_layout \begin_layout Subsubsection @@ -29337,13 +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 @@ -30591,27 +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 @@ -30647,7 +30069,7 @@ C=A+B\label{eq:c} \begin_layout Standard \begin_inset ERT -status collapsed +status open \begin_layout Plain Layout @@ -30673,22 +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 @@ -30728,36 +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" @@ -30771,34 +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 @@ -30839,8 +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 @@ -30854,11 +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 @@ -31546,10 +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 @@ -32139,18 +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 - - + + @@ -32167,29 +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 @@ -32204,11 +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 @@ -32217,8 +31666,8 @@ H2CO3 \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -32233,11 +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 @@ -32246,8 +31695,8 @@ SO4^2- \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -32262,11 +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 @@ -32275,8 +31724,8 @@ ce \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -32291,11 +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 @@ -32304,8 +31753,8 @@ KCr(SO4)2.12H2O \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -32332,11 +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 @@ -32345,8 +31794,8 @@ D \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -32369,11 +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 @@ -32383,7 +31832,7 @@ Th+ - + \begin_inset Text \begin_layout Plain Layout @@ -32410,11 +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 @@ -32459,7 +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 @@ -32468,8 +31917,8 @@ C \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -32504,11 +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 @@ -33470,18 +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 - - + + @@ -33498,29 +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 @@ -33535,7 +32964,7 @@ B \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -33549,7 +32978,7 @@ B - + \begin_inset Text \begin_layout Plain Layout @@ -33560,11 +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 @@ -33573,8 +33002,8 @@ us{ABcd \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -33603,11 +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 @@ -33616,8 +33045,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -33640,11 +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 @@ -33653,8 +33082,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -33679,11 +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 @@ -34749,6 +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 @@ -34767,6 +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 @@ -34856,21 +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 @@ -34890,7 +34358,7 @@ x = -2 - + \begin_inset Text \begin_layout Plain Layout @@ -34899,7 +34367,7 @@ formula: \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -34913,7 +34381,7 @@ formula: - + \begin_inset Text \begin_layout Plain Layout @@ -35126,21 +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 @@ -35149,7 +34613,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35160,7 +34624,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -35173,7 +34637,7 @@ psi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35187,7 +34651,7 @@ psi - + \begin_inset Text \begin_layout Plain Layout @@ -35200,7 +34664,7 @@ psi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35214,7 +34678,7 @@ psi - + \begin_inset Text \begin_layout Plain Layout @@ -35229,7 +34693,7 @@ phi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35443,21 +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 @@ -35466,7 +34926,7 @@ Number \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35477,7 +34937,7 @@ Style (Size) - + \begin_inset Text \begin_layout Plain Layout @@ -35486,7 +34946,7 @@ Style (Size) \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35497,7 +34957,7 @@ display style formula - + \begin_inset Text \begin_layout Plain Layout @@ -35506,7 +34966,7 @@ display style formula \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35517,7 +34977,7 @@ inline formula - + \begin_inset Text \begin_layout Plain Layout @@ -35526,7 +34986,7 @@ inline formula \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35537,7 +34997,7 @@ small - + \begin_inset Text \begin_layout Plain Layout @@ -35546,7 +35006,7 @@ small \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -35671,6 +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 @@ -35718,21 +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 @@ -35741,34 +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 @@ -35789,11 +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 @@ -35802,8 +35249,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -35824,11 +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 @@ -35837,8 +35284,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -35859,11 +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 @@ -35873,7 +35320,7 @@ A=B - + \begin_inset Text \begin_layout Plain Layout @@ -35898,11 +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 @@ -37612,11 +37059,11 @@ Some characters and symbols can be created with several commands. \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -37625,34 +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 @@ -37663,41 +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 @@ -37708,7 +37116,7 @@ choose \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37721,7 +37129,7 @@ binom - + \begin_inset Text \begin_layout Plain Layout @@ -37732,7 +37140,7 @@ geq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37745,7 +37153,7 @@ ge - + \begin_inset Text \begin_layout Plain Layout @@ -37756,7 +37164,7 @@ lbrace \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37767,7 +37175,7 @@ lbrace - + \begin_inset Text \begin_layout Plain Layout @@ -37778,7 +37186,7 @@ lbracket \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37789,7 +37197,7 @@ lbracket - + \begin_inset Text \begin_layout Plain Layout @@ -37800,7 +37208,7 @@ leftarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37813,7 +37221,7 @@ gets - + \begin_inset Text \begin_layout Plain Layout @@ -37824,7 +37232,7 @@ leq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37837,7 +37245,7 @@ le - + \begin_inset Text \begin_layout Plain Layout @@ -37848,7 +37256,7 @@ lor \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37861,7 +37269,7 @@ vee - + \begin_inset Text \begin_layout Plain Layout @@ -37872,7 +37280,7 @@ neq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37885,7 +37293,7 @@ not= - + \begin_inset Text \begin_layout Plain Layout @@ -37896,7 +37304,7 @@ slash \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37907,7 +37315,7 @@ slash - + \begin_inset Text \begin_layout Plain Layout @@ -37918,7 +37326,7 @@ vert \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37939,11 +37347,11 @@ vert \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -37952,7 +37360,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37963,7 +37371,7 @@ equivalent to - + \begin_inset Text \begin_layout Plain Layout @@ -37974,7 +37382,7 @@ backslash \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -37989,7 +37397,7 @@ backslash - + \begin_inset Text \begin_layout Plain Layout @@ -38000,7 +37408,7 @@ dasharrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38013,7 +37421,7 @@ dashrightarrow - + \begin_inset Text \begin_layout Plain Layout @@ -38024,7 +37432,7 @@ land \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38037,7 +37445,7 @@ wedge - + \begin_inset Text \begin_layout Plain Layout @@ -38048,7 +37456,7 @@ rbrace \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38059,7 +37467,7 @@ rbrace - + \begin_inset Text \begin_layout Plain Layout @@ -38070,7 +37478,7 @@ rbracket \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38081,7 +37489,7 @@ rbracket - + \begin_inset Text \begin_layout Plain Layout @@ -38092,7 +37500,7 @@ rightarrow \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38105,7 +37513,7 @@ to - + \begin_inset Text \begin_layout Plain Layout @@ -38116,7 +37524,7 @@ lnot \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38129,7 +37537,7 @@ neg - + \begin_inset Text \begin_layout Plain Layout @@ -38140,7 +37548,7 @@ ne \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38153,7 +37561,7 @@ not= - + \begin_inset Text \begin_layout Plain Layout @@ -38164,7 +37572,7 @@ owns \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38177,7 +37585,7 @@ ni - + \begin_inset Text \begin_layout Plain Layout @@ -38188,7 +37596,7 @@ square \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38201,7 +37609,7 @@ Box - + \begin_inset Text \begin_layout Plain Layout @@ -38212,7 +37620,7 @@ Vert \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -38459,7 +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