X-Git-Url: https://git.lyx.org/gitweb/?a=blobdiff_plain;f=lib%2Fdoc%2FMath.lyx;h=fca41b3e2c754373dae610bf86cb81fb2dfcc411;hb=c1e698fd8688bd64194631b5223a22f341a0fd7a;hp=11fd32bbda162d2c31b67df6d6e60a579e9333a9;hpb=a0b3eaf67e7c5bc93dc03e471ce4f7f3b88b4b75;p=features.git diff --git a/lib/doc/Math.lyx b/lib/doc/Math.lyx index 11fd32bbda..fca41b3e2c 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. @@ -6028,10 +5976,6 @@ Bigg \begin_layout Standard These commands are used to emphasize levels of brackets: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -6112,10 +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 @@ -6239,10 +6179,6 @@ r \begin_layout Standard In the following table is a comparison of the variants: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -6498,10 +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 @@ -6979,10 +6911,6 @@ Load always \family default , you have access to square backets: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -7223,10 +7151,6 @@ underbracket \series default you can change the thickness of the bracket's stroke by specifying the desired thickness in square brackets behind the command: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -8635,10 +8559,6 @@ always \end_inset -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -9163,10 +9083,6 @@ xrightleftharpoons \begin_layout Standard The command scheme is for all these arrows: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -10432,10 +10348,6 @@ undertilde \end_inset -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -10586,7 +10498,7 @@ Accents ! for several characters \begin_inset Tabular - + @@ -10604,29 +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 @@ -10641,11 +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 @@ -10654,8 +10550,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10670,11 +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 @@ -10683,8 +10579,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10699,11 +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 @@ -10712,8 +10608,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10732,7 +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 @@ -10752,7 +10648,7 @@ A=B \begin_inset Tabular - + @@ -10775,8 +10671,8 @@ Result \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10791,11 +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 @@ -10804,8 +10700,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10820,11 +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 @@ -10833,8 +10729,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10849,11 +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 @@ -10862,8 +10758,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -10882,7 +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 @@ -11080,10 +10976,6 @@ arg "math-insert \\space" Space \family default afterwards. -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -11091,7 +10983,7 @@ Space \align center \begin_inset Tabular - + @@ -11129,7 +11021,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -11140,7 +11032,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11149,7 +11041,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11163,7 +11055,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -11174,7 +11066,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11183,7 +11075,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11197,7 +11089,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -11208,7 +11100,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11217,7 +11109,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11231,7 +11123,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -11242,7 +11134,7 @@ quad \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11251,7 +11143,7 @@ quad \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11265,7 +11157,7 @@ quad - + \begin_inset Text \begin_layout Plain Layout @@ -11276,7 +11168,7 @@ qquad \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11285,7 +11177,7 @@ qquad \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11309,7 +11201,7 @@ qquad \begin_inset Tabular - + @@ -11347,7 +11239,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -11358,7 +11250,7 @@ hfill \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11367,7 +11259,7 @@ hfill \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11381,7 +11273,7 @@ hfill - + \begin_inset Text \begin_layout Plain Layout @@ -11392,7 +11284,7 @@ hspace*{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11401,7 +11293,7 @@ hspace*{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11415,7 +11307,7 @@ hspace*{1em} - + \begin_inset Text \begin_layout Plain Layout @@ -11426,7 +11318,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11435,7 +11327,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11449,7 +11341,7 @@ hspace{1em} - + \begin_inset Text \begin_layout Plain Layout @@ -11464,7 +11356,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11473,7 +11365,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11487,7 +11379,7 @@ hspace{1em} - + \begin_inset Text \begin_layout Plain Layout @@ -11498,7 +11390,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11507,7 +11399,7 @@ hspace{1em} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -11557,17 +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 - + @@ -11690,18 +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 - - + + @@ -11718,29 +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 @@ -11757,11 +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 @@ -11771,7 +11639,7 @@ f_kl - + \begin_inset Text \begin_layout Plain Layout @@ -11790,11 +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 @@ -11824,10 +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 @@ -11865,25 +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 @@ -12220,19 +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 - - + + @@ -12257,7 +12095,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -12278,7 +12116,7 @@ cm) \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -12292,7 +12130,7 @@ cm) - + \begin_inset Text \begin_layout Plain Layout @@ -12313,7 +12151,7 @@ mm) \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -12613,6 +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 @@ -12872,18 +12717,14 @@ framebox fbox \series default . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -12900,29 +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 @@ -12947,11 +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 @@ -12960,8 +12785,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -12982,11 +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 @@ -12995,8 +12820,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -13011,11 +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 @@ -13024,8 +12849,8 @@ B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -13062,22 +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 @@ -13398,18 +13215,14 @@ raisebox \series default -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -13432,7 +13245,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -13453,7 +13266,7 @@ raisebox{2mm \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -13467,7 +13280,7 @@ raisebox{2mm - + \begin_inset Text \begin_layout Plain Layout @@ -13488,7 +13301,7 @@ lo \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -13781,18 +13594,14 @@ white yellow \series default -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -13809,29 +13618,13 @@ 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 @@ -13848,11 +13641,11 @@ 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 @@ -13861,8 +13654,8 @@ colorbox{yellow \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -13885,11 +13678,11 @@ 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 @@ -13898,8 +13691,8 @@ A=B \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -13936,11 +13729,11 @@ 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 @@ -14657,26 +14450,6 @@ linewidth times the frame separation and the frame thickness must be subtracted from the line width. - As this is not automatically done by \SpecialChar LyX - due to a bug -\begin_inset Foot -status collapsed - -\begin_layout Plain Layout -\begin_inset CommandInset href -LatexCommand href -name "LyX-bug #4483" -target "http://www.lyx.org/trac/ticket/4483" - -\end_inset - - -\end_layout - -\end_inset - -, \SpecialChar TeX - mode has to be used. To be able to multiply and subtract in arguments, the \SpecialChar LaTeX -package \series bold @@ -15096,7 +14869,7 @@ Options \begin_inset Tabular - + @@ -15120,7 +14893,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -15143,7 +14916,7 @@ int \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15157,7 +14930,7 @@ int - + \begin_inset Text \begin_layout Plain Layout @@ -15168,7 +14941,7 @@ oint \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15182,7 +14955,7 @@ oint - + \begin_inset Text \begin_layout Plain Layout @@ -15193,7 +14966,7 @@ ointctrclockwise \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15207,7 +14980,7 @@ ointctrclockwise - + \begin_inset Text \begin_layout Plain Layout @@ -15218,7 +14991,7 @@ ointclockwise \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15232,7 +15005,7 @@ ointclockwise - + \begin_inset Text \begin_layout Plain Layout @@ -15243,7 +15016,7 @@ sqint \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15257,7 +15030,7 @@ sqint - + \begin_inset Text \begin_layout Plain Layout @@ -15268,7 +15041,7 @@ fint \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15283,7 +15056,7 @@ fint - + \begin_inset Text \begin_layout Plain Layout @@ -15294,7 +15067,7 @@ landupint \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15309,7 +15082,7 @@ landupint - + \begin_inset Text \begin_layout Plain Layout @@ -15320,7 +15093,7 @@ landdownint \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15335,7 +15108,7 @@ landdownint - + \begin_inset Text \begin_layout Plain Layout @@ -15346,7 +15119,7 @@ bigcap \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15360,7 +15133,7 @@ bigcap - + \begin_inset Text \begin_layout Plain Layout @@ -15371,7 +15144,7 @@ bigcup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15395,7 +15168,7 @@ bigcup \begin_inset Tabular - + @@ -15419,7 +15192,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -15442,7 +15215,7 @@ sum \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15456,7 +15229,7 @@ sum - + \begin_inset Text \begin_layout Plain Layout @@ -15492,7 +15265,7 @@ vspace{4mm} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15506,7 +15279,7 @@ vspace{4mm} - + \begin_inset Text \begin_layout Plain Layout @@ -15517,7 +15290,7 @@ coprod \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15531,7 +15304,7 @@ coprod - + \begin_inset Text \begin_layout Plain Layout @@ -15542,7 +15315,7 @@ bigodot \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15556,7 +15329,7 @@ bigodot - + \begin_inset Text \begin_layout Plain Layout @@ -15567,7 +15340,7 @@ bigotimes \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15581,7 +15354,7 @@ bigotimes - + \begin_inset Text \begin_layout Plain Layout @@ -15592,7 +15365,7 @@ bigoplus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15606,7 +15379,7 @@ bigoplus - + \begin_inset Text \begin_layout Plain Layout @@ -15617,7 +15390,7 @@ bigwedge \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15631,7 +15404,7 @@ bigwedge - + \begin_inset Text \begin_layout Plain Layout @@ -15642,7 +15415,7 @@ bigvee \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15656,7 +15429,7 @@ bigvee - + \begin_inset Text \begin_layout Plain Layout @@ -15667,7 +15440,7 @@ bigsqcup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15681,7 +15454,7 @@ bigsqcup - + \begin_inset Text \begin_layout Plain Layout @@ -15692,7 +15465,7 @@ biguplus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -15863,9 +15636,9 @@ For multiple integrals there are the following commands: \begin_inset Tabular - - - + + + \begin_inset Text @@ -15881,29 +15654,13 @@ 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 @@ -15914,11 +15671,11 @@ 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 @@ -15927,8 +15684,8 @@ iint \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -15939,11 +15696,11 @@ 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 @@ -15952,8 +15709,8 @@ oiint \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -15964,11 +15721,11 @@ 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 @@ -15988,9 +15745,9 @@ sqiint \begin_inset Tabular - - - + + + \begin_inset Text @@ -16011,8 +15768,8 @@ Result \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -16023,11 +15780,11 @@ 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 @@ -16036,8 +15793,8 @@ iiint \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -16048,11 +15805,11 @@ 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 @@ -16061,8 +15818,8 @@ iiiint \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -16073,11 +15830,11 @@ 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 @@ -16120,17 +15877,13 @@ 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 - + @@ -16148,29 +15901,13 @@ 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 @@ -16195,11 +15932,11 @@ 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 @@ -16990,13 +16727,9 @@ 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 - + @@ -17036,7 +16769,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -17045,7 +16778,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17059,7 +16792,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -17068,7 +16801,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17082,7 +16815,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -17093,7 +16826,7 @@ pm \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17107,7 +16840,7 @@ pm - + \begin_inset Text \begin_layout Plain Layout @@ -17118,7 +16851,7 @@ mp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17132,7 +16865,7 @@ mp - + \begin_inset Text \begin_layout Plain Layout @@ -17143,7 +16876,7 @@ cdot \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17157,7 +16890,7 @@ cdot - + \begin_inset Text \begin_layout Plain Layout @@ -17168,7 +16901,7 @@ times \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17182,7 +16915,7 @@ times - + \begin_inset Text \begin_layout Plain Layout @@ -17193,7 +16926,7 @@ div \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17207,7 +16940,7 @@ div - + \begin_inset Text \begin_layout Plain Layout @@ -17239,7 +16972,7 @@ status collapsed \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17253,7 +16986,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -17264,7 +16997,7 @@ star \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17278,7 +17011,7 @@ star - + \begin_inset Text \begin_layout Plain Layout @@ -17289,7 +17022,7 @@ circ \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17303,7 +17036,7 @@ circ - + \begin_inset Text \begin_layout Plain Layout @@ -17314,7 +17047,7 @@ diamond \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17328,7 +17061,7 @@ diamond - + \begin_inset Text \begin_layout Plain Layout @@ -17339,7 +17072,7 @@ bullet \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17363,7 +17096,7 @@ bullet \begin_inset Tabular - + @@ -17387,7 +17120,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -17398,7 +17131,7 @@ nabla \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17412,7 +17145,7 @@ nabla - + \begin_inset Text \begin_layout Plain Layout @@ -17423,7 +17156,7 @@ bigtriangledown \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17437,7 +17170,7 @@ bigtriangledown - + \begin_inset Text \begin_layout Plain Layout @@ -17448,7 +17181,7 @@ bigtriangleup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17462,7 +17195,7 @@ bigtriangleup - + \begin_inset Text \begin_layout Plain Layout @@ -17473,7 +17206,7 @@ Box \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17487,7 +17220,7 @@ Box - + \begin_inset Text \begin_layout Plain Layout @@ -17498,7 +17231,7 @@ cap \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17512,7 +17245,7 @@ cap - + \begin_inset Text \begin_layout Plain Layout @@ -17523,7 +17256,7 @@ cup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17537,7 +17270,7 @@ cup - + \begin_inset Text \begin_layout Plain Layout @@ -17548,7 +17281,7 @@ dagger \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17562,7 +17295,7 @@ dagger - + \begin_inset Text \begin_layout Plain Layout @@ -17573,7 +17306,7 @@ ddagger \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17587,7 +17320,7 @@ ddagger - + \begin_inset Text \begin_layout Plain Layout @@ -17598,7 +17331,7 @@ wr \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17612,7 +17345,7 @@ wr - + \begin_inset Text \begin_layout Plain Layout @@ -17623,7 +17356,7 @@ bigcirc \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17637,7 +17370,7 @@ bigcirc - + \begin_inset Text \begin_layout Plain Layout @@ -17648,7 +17381,7 @@ wedge \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17662,7 +17395,7 @@ wedge - + \begin_inset Text \begin_layout Plain Layout @@ -17673,7 +17406,7 @@ vee \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17697,7 +17430,7 @@ vee \begin_inset Tabular - + @@ -17721,7 +17454,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -17732,7 +17465,7 @@ oplus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17746,7 +17479,7 @@ oplus - + \begin_inset Text \begin_layout Plain Layout @@ -17757,7 +17490,7 @@ ominus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17771,7 +17504,7 @@ ominus - + \begin_inset Text \begin_layout Plain Layout @@ -17782,7 +17515,7 @@ otimes \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17796,7 +17529,7 @@ otimes - + \begin_inset Text \begin_layout Plain Layout @@ -17807,7 +17540,7 @@ oslash \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17821,7 +17554,7 @@ oslash - + \begin_inset Text \begin_layout Plain Layout @@ -17832,7 +17565,7 @@ odot \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17846,7 +17579,7 @@ odot - + \begin_inset Text \begin_layout Plain Layout @@ -17857,7 +17590,7 @@ amalg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17871,7 +17604,7 @@ amalg - + \begin_inset Text \begin_layout Plain Layout @@ -17882,7 +17615,7 @@ uplus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17896,7 +17629,7 @@ uplus - + \begin_inset Text \begin_layout Plain Layout @@ -17907,7 +17640,7 @@ setminus \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17921,7 +17654,7 @@ setminus - + \begin_inset Text \begin_layout Plain Layout @@ -17932,7 +17665,7 @@ sqcap \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17946,7 +17679,7 @@ sqcap - + \begin_inset Text \begin_layout Plain Layout @@ -17957,7 +17690,7 @@ sqcup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17971,7 +17704,7 @@ sqcup - + \begin_inset Text \begin_layout Plain Layout @@ -17982,7 +17715,7 @@ triangleleft \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -17996,7 +17729,7 @@ triangleleft - + \begin_inset Text \begin_layout Plain Layout @@ -18007,7 +17740,7 @@ triangleright \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18025,10 +17758,6 @@ triangleright \end_inset -\begin_inset space \hfill{} -\end_inset - - \end_layout \begin_layout Standard @@ -18403,8 +18132,8 @@ Latin letters in formulas can be set in one of the following font styles: \begin_inset Tabular - - + + @@ -18427,7 +18156,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -18446,7 +18175,7 @@ ABC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18460,7 +18189,7 @@ ABC - + \begin_inset Text \begin_layout Plain Layout @@ -18479,7 +18208,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18493,7 +18222,7 @@ AbC - + \begin_inset Text \begin_layout Plain Layout @@ -18512,7 +18241,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18526,7 +18255,7 @@ AbC - + \begin_inset Text \begin_layout Plain Layout @@ -18545,7 +18274,7 @@ ABC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18559,7 +18288,7 @@ ABC - + \begin_inset Text \begin_layout Plain Layout @@ -18578,7 +18307,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18602,8 +18331,8 @@ AbC \begin_inset Tabular - - + + @@ -18626,7 +18355,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -18645,7 +18374,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18659,7 +18388,7 @@ AbC - + \begin_inset Text \begin_layout Plain Layout @@ -18678,7 +18407,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18692,7 +18421,7 @@ AbC - + \begin_inset Text \begin_layout Plain Layout @@ -18711,7 +18440,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18725,7 +18454,7 @@ AbC - + \begin_inset Text \begin_layout Plain Layout @@ -18744,7 +18473,7 @@ AbC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -18758,7 +18487,7 @@ AbC - + \begin_inset Text \begin_layout Plain Layout @@ -18777,7 +18506,7 @@ ABC \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19331,10 +19060,6 @@ arg "math-insert \\style" \end_inset : -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -19342,8 +19067,8 @@ arg "math-insert \\style" \align center \begin_inset Tabular - - + + @@ -19360,29 +19085,13 @@ 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 @@ -19405,11 +19114,11 @@ 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 @@ -19418,8 +19127,8 @@ displaystyle \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -19430,11 +19139,11 @@ 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 @@ -19444,7 +19153,7 @@ textstyle - + \begin_inset Text \begin_layout Plain Layout @@ -19455,11 +19164,11 @@ 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 @@ -19469,7 +19178,7 @@ scriptstyle - + \begin_inset Text \begin_layout Plain Layout @@ -19480,11 +19189,11 @@ 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 @@ -19701,7 +19410,7 @@ Greek letters ! small \begin_inset Tabular - + @@ -19725,7 +19434,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -19736,7 +19445,7 @@ alpha \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19750,7 +19459,7 @@ alpha - + \begin_inset Text \begin_layout Plain Layout @@ -19761,7 +19470,7 @@ beta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19775,7 +19484,7 @@ beta - + \begin_inset Text \begin_layout Plain Layout @@ -19786,7 +19495,7 @@ gamma \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19800,7 +19509,7 @@ gamma - + \begin_inset Text \begin_layout Plain Layout @@ -19811,7 +19520,7 @@ delta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19825,7 +19534,7 @@ delta - + \begin_inset Text \begin_layout Plain Layout @@ -19836,7 +19545,7 @@ epsilon \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19850,7 +19559,7 @@ epsilon - + \begin_inset Text \begin_layout Plain Layout @@ -19861,7 +19570,7 @@ varepsilon \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19875,7 +19584,7 @@ varepsilon - + \begin_inset Text \begin_layout Plain Layout @@ -19886,7 +19595,7 @@ zeta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19900,7 +19609,7 @@ zeta - + \begin_inset Text \begin_layout Plain Layout @@ -19911,7 +19620,7 @@ eta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19925,7 +19634,7 @@ eta - + \begin_inset Text \begin_layout Plain Layout @@ -19936,7 +19645,7 @@ theta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19950,7 +19659,7 @@ theta - + \begin_inset Text \begin_layout Plain Layout @@ -19961,7 +19670,7 @@ vartheta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -19985,7 +19694,7 @@ vartheta \begin_inset Tabular - + @@ -20009,7 +19718,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -20020,7 +19729,7 @@ iota \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20034,7 +19743,7 @@ iota - + \begin_inset Text \begin_layout Plain Layout @@ -20045,7 +19754,7 @@ kappa \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20059,7 +19768,7 @@ kappa - + \begin_inset Text \begin_layout Plain Layout @@ -20070,7 +19779,7 @@ varkappa \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20084,7 +19793,7 @@ varkappa - + \begin_inset Text \begin_layout Plain Layout @@ -20095,7 +19804,7 @@ lambda \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20109,7 +19818,7 @@ lambda - + \begin_inset Text \begin_layout Plain Layout @@ -20120,7 +19829,7 @@ mu \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20134,7 +19843,7 @@ mu - + \begin_inset Text \begin_layout Plain Layout @@ -20145,7 +19854,7 @@ nu \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20159,7 +19868,7 @@ nu - + \begin_inset Text \begin_layout Plain Layout @@ -20170,7 +19879,7 @@ xi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20184,7 +19893,7 @@ xi - + \begin_inset Text \begin_layout Plain Layout @@ -20193,7 +19902,7 @@ o \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20207,7 +19916,7 @@ o - + \begin_inset Text \begin_layout Plain Layout @@ -20218,7 +19927,7 @@ pi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20232,7 +19941,7 @@ pi - + \begin_inset Text \begin_layout Plain Layout @@ -20243,7 +19952,7 @@ varpi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20257,7 +19966,7 @@ varpi - + \begin_inset Text \begin_layout Plain Layout @@ -20268,7 +19977,7 @@ rho \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20292,7 +20001,7 @@ rho \begin_inset Tabular - + @@ -20316,7 +20025,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -20327,7 +20036,7 @@ varrho \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20341,7 +20050,7 @@ varrho - + \begin_inset Text \begin_layout Plain Layout @@ -20352,7 +20061,7 @@ sigma \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20366,7 +20075,7 @@ sigma - + \begin_inset Text \begin_layout Plain Layout @@ -20377,7 +20086,7 @@ varsigma \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20391,7 +20100,7 @@ varsigma - + \begin_inset Text \begin_layout Plain Layout @@ -20402,7 +20111,7 @@ tau \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20416,7 +20125,7 @@ tau - + \begin_inset Text \begin_layout Plain Layout @@ -20427,7 +20136,7 @@ upsilon \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20441,7 +20150,7 @@ upsilon - + \begin_inset Text \begin_layout Plain Layout @@ -20452,7 +20161,7 @@ phi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20466,7 +20175,7 @@ phi - + \begin_inset Text \begin_layout Plain Layout @@ -20477,7 +20186,7 @@ varphi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20491,7 +20200,7 @@ varphi - + \begin_inset Text \begin_layout Plain Layout @@ -20502,7 +20211,7 @@ chi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20516,7 +20225,7 @@ chi - + \begin_inset Text \begin_layout Plain Layout @@ -20527,7 +20236,7 @@ psi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20541,7 +20250,7 @@ psi - + \begin_inset Text \begin_layout Plain Layout @@ -20552,7 +20261,7 @@ omega \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20615,7 +20324,7 @@ Greek letters ! big \begin_inset Tabular - + @@ -20639,7 +20348,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -20650,7 +20359,7 @@ Gamma \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20664,7 +20373,7 @@ Gamma - + \begin_inset Text \begin_layout Plain Layout @@ -20675,7 +20384,7 @@ Delta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20689,7 +20398,7 @@ Delta - + \begin_inset Text \begin_layout Plain Layout @@ -20700,7 +20409,7 @@ Theta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20714,7 +20423,7 @@ Theta - + \begin_inset Text \begin_layout Plain Layout @@ -20725,7 +20434,7 @@ Lambda \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20739,7 +20448,7 @@ Lambda - + \begin_inset Text \begin_layout Plain Layout @@ -20750,7 +20459,7 @@ Xi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20764,7 +20473,7 @@ Xi - + \begin_inset Text \begin_layout Plain Layout @@ -20775,7 +20484,7 @@ Pi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20799,7 +20508,7 @@ Pi \begin_inset Tabular - + @@ -20823,7 +20532,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -20834,7 +20543,7 @@ Sigma \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20848,7 +20557,7 @@ Sigma - + \begin_inset Text \begin_layout Plain Layout @@ -20859,7 +20568,7 @@ Upsilon \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20873,7 +20582,7 @@ Upsilon - + \begin_inset Text \begin_layout Plain Layout @@ -20884,7 +20593,7 @@ Phi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20898,7 +20607,7 @@ Phi - + \begin_inset Text \begin_layout Plain Layout @@ -20909,7 +20618,7 @@ Psi \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -20923,7 +20632,7 @@ Psi - + \begin_inset Text \begin_layout Plain Layout @@ -20934,7 +20643,7 @@ Omega \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21088,18 +20797,14 @@ boldsymbol \end_inset . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -21122,7 +20827,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -21137,7 +20842,7 @@ Upsilon \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21151,7 +20856,7 @@ Upsilon - + \begin_inset Text \begin_layout Plain Layout @@ -21166,7 +20871,7 @@ theta \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21306,13 +21011,9 @@ Symbols ! mathematical \end_layout \begin_layout Standard -\begin_inset space \hfill{} -\end_inset - - \begin_inset Tabular - + @@ -21329,14 +21030,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21347,7 +21048,7 @@ neg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21361,7 +21062,7 @@ neg - + \begin_inset Text \begin_layout Plain Layout @@ -21372,7 +21073,7 @@ Im \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21386,7 +21087,7 @@ Im - + \begin_inset Text \begin_layout Plain Layout @@ -21397,7 +21098,7 @@ Re \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21411,7 +21112,7 @@ Re - + \begin_inset Text \begin_layout Plain Layout @@ -21422,7 +21123,7 @@ aleph \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21436,7 +21137,7 @@ aleph - + \begin_inset Text \begin_layout Plain Layout @@ -21447,7 +21148,7 @@ partial \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21461,7 +21162,7 @@ partial - + \begin_inset Text \begin_layout Plain Layout @@ -21472,7 +21173,7 @@ infty \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21486,7 +21187,7 @@ infty - + \begin_inset Text \begin_layout Plain Layout @@ -21497,7 +21198,7 @@ wp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21511,7 +21212,7 @@ wp - + \begin_inset Text \begin_layout Plain Layout @@ -21522,7 +21223,7 @@ imath \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21571,7 +21272,7 @@ jmath \begin_inset Tabular - + @@ -21588,7 +21289,7 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \begin_inset Note Note status collapsed @@ -21611,7 +21312,7 @@ raisebox - + \begin_inset Text \begin_layout Plain Layout @@ -21622,7 +21323,7 @@ forall \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21636,7 +21337,7 @@ forall - + \begin_inset Text \begin_layout Plain Layout @@ -21647,7 +21348,7 @@ exists \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21661,7 +21362,7 @@ exists - + \begin_inset Text \begin_layout Plain Layout @@ -21672,7 +21373,7 @@ nexists \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21686,7 +21387,7 @@ nexists - + \begin_inset Text \begin_layout Plain Layout @@ -21697,7 +21398,7 @@ emptyset \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21711,7 +21412,7 @@ emptyset - + \begin_inset Text \begin_layout Plain Layout @@ -21722,7 +21423,7 @@ varnothing \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21736,7 +21437,7 @@ varnothing - + \begin_inset Text \begin_layout Plain Layout @@ -21747,7 +21448,7 @@ dag \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21761,7 +21462,7 @@ dag - + \begin_inset Text \begin_layout Plain Layout @@ -21772,7 +21473,7 @@ ddag \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21786,7 +21487,7 @@ ddag - + \begin_inset Text \begin_layout Plain Layout @@ -21797,7 +21498,7 @@ complement \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21870,7 +21571,7 @@ Bbbk \begin_inset Tabular - + @@ -21887,14 +21588,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21905,7 +21606,7 @@ prime \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21919,7 +21620,7 @@ prime - + \begin_inset Text \begin_layout Plain Layout @@ -21930,7 +21631,7 @@ backprime \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21944,7 +21645,7 @@ backprime - + \begin_inset Text \begin_layout Plain Layout @@ -21955,7 +21656,7 @@ mho \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21969,7 +21670,7 @@ mho - + \begin_inset Text \begin_layout Plain Layout @@ -21980,7 +21681,7 @@ triangle \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -21994,7 +21695,7 @@ triangle - + \begin_inset Text \begin_layout Plain Layout @@ -22005,7 +21706,7 @@ angle \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22019,7 +21720,7 @@ angle - + \begin_inset Text \begin_layout Plain Layout @@ -22030,7 +21731,7 @@ measuredangle \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22044,7 +21745,7 @@ measuredangle - + \begin_inset Text \begin_layout Plain Layout @@ -22055,7 +21756,7 @@ sphericalangle \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22069,7 +21770,7 @@ sphericalangle - + \begin_inset Text \begin_layout Plain Layout @@ -22080,7 +21781,7 @@ top \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22123,10 +21824,6 @@ bot \end_inset -\begin_inset space \hfill{} -\end_inset - - \end_layout \begin_layout Standard @@ -22162,11 +21859,11 @@ Symbols ! miscellaneous \align center \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -22179,14 +21876,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22197,7 +21894,7 @@ flat \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22211,7 +21908,7 @@ flat - + \begin_inset Text \begin_layout Plain Layout @@ -22222,7 +21919,7 @@ natural \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22236,7 +21933,7 @@ natural - + \begin_inset Text \begin_layout Plain Layout @@ -22247,7 +21944,7 @@ sharp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22261,7 +21958,7 @@ sharp - + \begin_inset Text \begin_layout Plain Layout @@ -22272,7 +21969,7 @@ surd \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22286,7 +21983,7 @@ surd - + \begin_inset Text \begin_layout Plain Layout @@ -22297,7 +21994,7 @@ checkmark \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22311,7 +22008,7 @@ checkmark - + \begin_inset Text \begin_layout Plain Layout @@ -22322,7 +22019,7 @@ yen \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22336,7 +22033,7 @@ yen - + \begin_inset Text \begin_layout Plain Layout @@ -22347,7 +22044,7 @@ pounds \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22361,7 +22058,7 @@ pounds - + \begin_inset Text \begin_layout Plain Layout @@ -22370,7 +22067,7 @@ $ \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22384,7 +22081,7 @@ $ - + \begin_inset Text \begin_layout Plain Layout @@ -22411,10 +22108,14 @@ $ \end_inset +\begin_inset space \hfill{} +\end_inset + + \begin_inset Tabular - - + + @@ -22430,14 +22131,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22448,7 +22149,7 @@ hbar \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22462,7 +22163,7 @@ hbar - + \begin_inset Text \begin_layout Plain Layout @@ -22473,7 +22174,7 @@ hslash \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22487,7 +22188,7 @@ hslash - + \begin_inset Text \begin_layout Plain Layout @@ -22498,7 +22199,7 @@ clubsuit \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22512,7 +22213,7 @@ clubsuit - + \begin_inset Text \begin_layout Plain Layout @@ -22523,7 +22224,7 @@ spadesuit \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22537,7 +22238,7 @@ spadesuit - + \begin_inset Text \begin_layout Plain Layout @@ -22548,7 +22249,7 @@ bigstar \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22562,7 +22263,7 @@ bigstar - + \begin_inset Text \begin_layout Plain Layout @@ -22573,7 +22274,7 @@ blacklozenge \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22587,7 +22288,7 @@ blacklozenge - + \begin_inset Text \begin_layout Plain Layout @@ -22598,7 +22299,7 @@ blacktriangle \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22612,7 +22313,7 @@ blacktriangle - + \begin_inset Text \begin_layout Plain Layout @@ -22623,7 +22324,7 @@ blacktiangledown \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22637,7 +22338,7 @@ blacktiangledown - + \begin_inset Text \begin_layout Plain Layout @@ -22648,7 +22349,7 @@ bullet \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22666,9 +22367,13 @@ bullet \end_inset +\begin_inset space \hfill{} +\end_inset + + \begin_inset Tabular - + @@ -22685,14 +22390,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22703,7 +22408,7 @@ diamondsuit \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22717,7 +22422,7 @@ diamondsuit - + \begin_inset Text \begin_layout Plain Layout @@ -22728,7 +22433,7 @@ Diamond \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22742,7 +22447,7 @@ Diamond - + \begin_inset Text \begin_layout Plain Layout @@ -22753,7 +22458,7 @@ heartsuit \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22767,7 +22472,7 @@ heartsuit - + \begin_inset Text \begin_layout Plain Layout @@ -22778,7 +22483,7 @@ P \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22792,7 +22497,7 @@ P - + \begin_inset Text \begin_layout Plain Layout @@ -22803,7 +22508,7 @@ copyright \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22817,7 +22522,7 @@ copyright - + \begin_inset Text \begin_layout Plain Layout @@ -22828,7 +22533,7 @@ circledR \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22842,7 +22547,7 @@ circledR - + \begin_inset Text \begin_layout Plain Layout @@ -22853,7 +22558,7 @@ maltese \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -22867,7 +22572,7 @@ maltese - + \begin_inset Text \begin_layout Plain Layout @@ -22878,7 +22583,7 @@ diagup \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23104,31 +22809,39 @@ 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 @@ -23137,18 +22850,18 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout -Result +Symbol \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23157,7 +22870,7 @@ formula \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23168,7 +22881,7 @@ euro \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23182,7 +22895,7 @@ euro - + \begin_inset Text \begin_layout Plain Layout @@ -23191,7 +22904,7 @@ mathematical text \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23200,7 +22913,7 @@ mathematical text \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23214,7 +22927,7 @@ mathematical text - + \begin_inset Text \begin_layout Plain Layout @@ -23224,7 +22937,7 @@ mathematical text \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23235,7 +22948,7 @@ officialeuro \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23262,6 +22975,32 @@ 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 @@ -23391,13 +23130,9 @@ arg "math-insert \\leq" \end_layout \begin_layout Standard -\begin_inset space \hfill{} -\end_inset - - \begin_inset Tabular - + @@ -23414,14 +23149,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Relation \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23430,7 +23165,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23444,7 +23179,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -23455,7 +23190,7 @@ le \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23469,7 +23204,7 @@ le - + \begin_inset Text \begin_layout Plain Layout @@ -23480,7 +23215,7 @@ ll \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23494,7 +23229,7 @@ ll - + \begin_inset Text \begin_layout Plain Layout @@ -23505,7 +23240,7 @@ prec \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23519,7 +23254,7 @@ prec - + \begin_inset Text \begin_layout Plain Layout @@ -23530,7 +23265,7 @@ preceq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23544,7 +23279,7 @@ preceq - + \begin_inset Text \begin_layout Plain Layout @@ -23555,7 +23290,7 @@ subset \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23569,7 +23304,7 @@ subset - + \begin_inset Text \begin_layout Plain Layout @@ -23580,7 +23315,7 @@ subseteq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23594,7 +23329,7 @@ subseteq - + \begin_inset Text \begin_layout Plain Layout @@ -23605,7 +23340,7 @@ sqsubseteq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23619,7 +23354,7 @@ sqsubseteq - + \begin_inset Text \begin_layout Plain Layout @@ -23630,7 +23365,7 @@ in \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23644,7 +23379,7 @@ in - + \begin_inset Text \begin_layout Plain Layout @@ -23655,7 +23390,7 @@ vdash \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23669,7 +23404,7 @@ vdash - + \begin_inset Text \begin_layout Plain Layout @@ -23680,7 +23415,7 @@ smile \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23694,7 +23429,7 @@ smile - + \begin_inset Text \begin_layout Plain Layout @@ -23705,7 +23440,7 @@ lhd \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23719,7 +23454,7 @@ lhd - + \begin_inset Text \begin_layout Plain Layout @@ -23730,7 +23465,7 @@ unlhd \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23744,7 +23479,7 @@ unlhd - + \begin_inset Text \begin_layout Plain Layout @@ -23755,7 +23490,7 @@ gtrless \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23769,7 +23504,7 @@ gtrless - + \begin_inset Text \begin_layout Plain Layout @@ -23780,7 +23515,7 @@ mid \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23794,7 +23529,7 @@ mid - + \begin_inset Text \begin_layout Plain Layout @@ -23805,7 +23540,7 @@ nmid \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23829,7 +23564,7 @@ nmid \begin_inset Tabular - + @@ -23846,14 +23581,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Relation \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23862,7 +23597,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23876,7 +23611,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -23887,7 +23622,7 @@ not= \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23901,7 +23636,7 @@ not= - + \begin_inset Text \begin_layout Plain Layout @@ -23912,7 +23647,7 @@ equiv \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23926,7 +23661,7 @@ equiv - + \begin_inset Text \begin_layout Plain Layout @@ -23937,7 +23672,7 @@ sim \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23951,7 +23686,7 @@ sim - + \begin_inset Text \begin_layout Plain Layout @@ -23962,7 +23697,7 @@ simeq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -23976,7 +23711,7 @@ simeq - + \begin_inset Text \begin_layout Plain Layout @@ -23987,7 +23722,7 @@ approx \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24001,7 +23736,7 @@ approx - + \begin_inset Text \begin_layout Plain Layout @@ -24012,7 +23747,7 @@ cong \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24026,7 +23761,7 @@ cong - + \begin_inset Text \begin_layout Plain Layout @@ -24037,7 +23772,7 @@ bowtie \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24051,7 +23786,7 @@ bowtie - + \begin_inset Text \begin_layout Plain Layout @@ -24062,7 +23797,7 @@ notin \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24076,7 +23811,7 @@ notin - + \begin_inset Text \begin_layout Plain Layout @@ -24087,7 +23822,7 @@ perp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24101,7 +23836,7 @@ perp - + \begin_inset Text \begin_layout Plain Layout @@ -24112,7 +23847,7 @@ propto \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24126,7 +23861,7 @@ propto - + \begin_inset Text \begin_layout Plain Layout @@ -24137,7 +23872,7 @@ asymp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24151,7 +23886,7 @@ asymp - + \begin_inset Text \begin_layout Plain Layout @@ -24162,7 +23897,7 @@ doteq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24176,7 +23911,7 @@ doteq - + \begin_inset Text \begin_layout Plain Layout @@ -24187,7 +23922,7 @@ circeq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24201,7 +23936,7 @@ circeq - + \begin_inset Text \begin_layout Plain Layout @@ -24212,7 +23947,7 @@ models \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24226,7 +23961,7 @@ models - + \begin_inset Text \begin_layout Plain Layout @@ -24237,7 +23972,7 @@ widehat= \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24261,7 +23996,7 @@ widehat= \begin_inset Tabular - + @@ -24278,14 +24013,14 @@ Command \begin_inset Text \begin_layout Plain Layout -Result +Relation \end_layout \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24294,7 +24029,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24308,7 +24043,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -24319,7 +24054,7 @@ ge \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24333,7 +24068,7 @@ ge - + \begin_inset Text \begin_layout Plain Layout @@ -24344,7 +24079,7 @@ gg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24358,7 +24093,7 @@ gg - + \begin_inset Text \begin_layout Plain Layout @@ -24369,7 +24104,7 @@ succ \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24383,7 +24118,7 @@ succ - + \begin_inset Text \begin_layout Plain Layout @@ -24394,7 +24129,7 @@ succeq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24408,7 +24143,7 @@ succeq - + \begin_inset Text \begin_layout Plain Layout @@ -24419,7 +24154,7 @@ supset \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24433,7 +24168,7 @@ supset - + \begin_inset Text \begin_layout Plain Layout @@ -24444,7 +24179,7 @@ supseteq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24458,7 +24193,7 @@ supseteq - + \begin_inset Text \begin_layout Plain Layout @@ -24469,7 +24204,7 @@ sqsupseteq \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24483,7 +24218,7 @@ sqsupseteq - + \begin_inset Text \begin_layout Plain Layout @@ -24494,7 +24229,7 @@ ni \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24508,7 +24243,7 @@ ni - + \begin_inset Text \begin_layout Plain Layout @@ -24519,7 +24254,7 @@ dashv \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24533,7 +24268,7 @@ dashv - + \begin_inset Text \begin_layout Plain Layout @@ -24544,7 +24279,7 @@ frown \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24558,7 +24293,7 @@ frown - + \begin_inset Text \begin_layout Plain Layout @@ -24569,7 +24304,7 @@ rhd \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24583,7 +24318,7 @@ rhd - + \begin_inset Text \begin_layout Plain Layout @@ -24594,7 +24329,7 @@ unrhd \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24608,7 +24343,7 @@ unrhd - + \begin_inset Text \begin_layout Plain Layout @@ -24619,7 +24354,7 @@ lessgtr \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24633,7 +24368,7 @@ lessgtr - + \begin_inset Text \begin_layout Plain Layout @@ -24644,7 +24379,7 @@ parallel \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24658,7 +24393,7 @@ parallel - + \begin_inset Text \begin_layout Plain Layout @@ -24669,7 +24404,7 @@ nparallel \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24687,10 +24422,6 @@ nparallel \end_inset -\begin_inset space \hfill{} -\end_inset - - \end_layout \begin_layout Standard @@ -24760,18 +24491,14 @@ stackrel \end_inset : -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - - + + @@ -24788,29 +24515,13 @@ 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 @@ -24847,11 +24558,11 @@ 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 @@ -24906,26 +24617,20 @@ 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 @@ -24934,7 +24639,7 @@ Command \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -24943,48 +24648,66 @@ 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 @@ -24995,7 +24718,7 @@ sin(x)+B \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25030,7 +24753,7 @@ The following functions are predefined: \align center \begin_inset Tabular - + @@ -25074,7 +24797,7 @@ Command - + \begin_inset Text \begin_layout Plain Layout @@ -25085,7 +24808,7 @@ sin \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25096,7 +24819,7 @@ sinh \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25107,7 +24830,7 @@ arcsin \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25120,7 +24843,7 @@ sup - + \begin_inset Text \begin_layout Plain Layout @@ -25131,7 +24854,7 @@ cos \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25142,7 +24865,7 @@ cosh \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25153,7 +24876,7 @@ arccos \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25166,7 +24889,7 @@ inf - + \begin_inset Text \begin_layout Plain Layout @@ -25177,7 +24900,7 @@ tan \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25188,7 +24911,7 @@ tanh \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25199,7 +24922,7 @@ arctan \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25212,7 +24935,7 @@ lim - + \begin_inset Text \begin_layout Plain Layout @@ -25223,7 +24946,7 @@ cot \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25234,7 +24957,7 @@ coth \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25245,7 +24968,7 @@ arg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25258,7 +24981,7 @@ liminf - + \begin_inset Text \begin_layout Plain Layout @@ -25269,7 +24992,7 @@ sec \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25280,7 +25003,7 @@ min \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25291,7 +25014,7 @@ deg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25304,7 +25027,7 @@ limsup - + \begin_inset Text \begin_layout Plain Layout @@ -25315,7 +25038,7 @@ csc \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25326,7 +25049,7 @@ max \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25337,7 +25060,7 @@ det \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25350,7 +25073,7 @@ Pr - + \begin_inset Text \begin_layout Plain Layout @@ -25361,7 +25084,7 @@ ln \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25372,7 +25095,7 @@ exp \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25383,7 +25106,7 @@ dim \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25396,7 +25119,7 @@ hom - + \begin_inset Text \begin_layout Plain Layout @@ -25407,7 +25130,7 @@ lg \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25418,7 +25141,7 @@ log \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25429,7 +25152,7 @@ ker \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25580,17 +25303,13 @@ In \SpecialChar LyX \end_inset : -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard \align center \begin_inset Tabular - + @@ -25614,7 +25333,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -25625,7 +25344,7 @@ sgn(x)+B \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25725,19 +25444,15 @@ 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 @@ -25753,29 +25468,13 @@ 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 @@ -25786,7 +25485,7 @@ varliminf \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -25799,8 +25498,8 @@ varliminf \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -25824,8 +25523,8 @@ varlimsup \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -25849,8 +25548,8 @@ varprojlim \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -25869,10 +25568,6 @@ varinjlim \end_inset -\begin_inset Formula $\raisebox{-2.5mm}{}$ -\end_inset - - \end_layout \end_inset @@ -25897,11 +25592,11 @@ The limit is created by inserting a subscript. \align center \begin_inset Tabular - + - + \begin_inset Text \begin_layout Plain Layout @@ -25910,31 +25605,11 @@ 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 @@ -25966,7 +25641,7 @@ x=B \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\hspace{1cm}\raisebox{5mm}{}\lim_{x\to A}x=B$ +\begin_inset Formula $\lim_{x\to A}x=B$ \end_inset @@ -26082,10 +25757,6 @@ The characters ^ and _ would normally create a superscript and subscript, To get these characters you have to insert them with a leading \backslash : -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -26093,11 +25764,11 @@ The characters ^ and _ would normally create a superscript and subscript, \align center \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -26117,7 +25788,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -26132,7 +25803,7 @@ Result \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26146,7 +25817,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -26157,7 +25828,7 @@ _ \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26193,11 +25864,11 @@ The following commands can only be used in mathematical text or in \SpecialChar \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -26217,7 +25888,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -26228,7 +25899,7 @@ oe \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26242,7 +25913,7 @@ oe - + \begin_inset Text \begin_layout Plain Layout @@ -26253,7 +25924,7 @@ OE \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26267,7 +25938,7 @@ OE - + \begin_inset Text \begin_layout Plain Layout @@ -26278,7 +25949,7 @@ ae \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26292,7 +25963,7 @@ ae - + \begin_inset Text \begin_layout Plain Layout @@ -26303,7 +25974,7 @@ AE \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26317,7 +25988,7 @@ AE - + \begin_inset Text \begin_layout Plain Layout @@ -26328,11 +25999,11 @@ aa \end_inset - + \begin_inset Text \begin_layout Plain Layout -\begin_inset Formula $\textrm{\aa}$ +\begin_inset Formula $\textrm{å}$ \end_inset @@ -26342,7 +26013,7 @@ aa - + \begin_inset Text \begin_layout Plain Layout @@ -26380,7 +26051,7 @@ AA} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26394,7 +26065,7 @@ AA} - + \begin_inset Text \begin_layout Plain Layout @@ -26429,15 +26100,15 @@ i \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout -command +Command \begin_inset Note Note status collapsed @@ -26468,7 +26139,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -26479,7 +26150,7 @@ o \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26493,7 +26164,7 @@ o - + \begin_inset Text \begin_layout Plain Layout @@ -26504,7 +26175,7 @@ O \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26518,7 +26189,7 @@ O - + \begin_inset Text \begin_layout Plain Layout @@ -26529,7 +26200,7 @@ l \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26543,7 +26214,7 @@ l - + \begin_inset Text \begin_layout Plain Layout @@ -26554,7 +26225,7 @@ L \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26568,7 +26239,7 @@ L - + \begin_inset Text \begin_layout Plain Layout @@ -26586,7 +26257,7 @@ L \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26600,7 +26271,7 @@ L - + \begin_inset Text \begin_layout Plain Layout @@ -26618,7 +26289,7 @@ L \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26632,7 +26303,7 @@ L - + \begin_inset Text \begin_layout Plain Layout @@ -26742,11 +26413,11 @@ With the following commands all letters can be accented. \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -26766,7 +26437,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -26781,7 +26452,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26804,7 +26475,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -26815,7 +26486,7 @@ status collapsed \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26838,7 +26509,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -26853,7 +26524,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26876,7 +26547,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -26887,7 +26558,7 @@ status collapsed \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26910,7 +26581,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -26925,7 +26596,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26948,7 +26619,7 @@ u e - + \begin_inset Text \begin_layout Plain Layout @@ -26963,7 +26634,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -26986,7 +26657,7 @@ b e - + \begin_inset Text \begin_layout Plain Layout @@ -27034,11 +26705,11 @@ t ee \begin_inset Tabular - - + + - + \begin_inset Text \begin_layout Plain Layout @@ -27058,7 +26729,7 @@ Result - + \begin_inset Text \begin_layout Plain Layout @@ -27073,7 +26744,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27096,7 +26767,7 @@ H e - + \begin_inset Text \begin_layout Plain Layout @@ -27107,7 +26778,7 @@ H e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27130,7 +26801,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27151,7 +26822,7 @@ Tilde \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27174,7 +26845,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27185,7 +26856,7 @@ status collapsed \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27208,7 +26879,7 @@ status collapsed - + \begin_inset Text \begin_layout Plain Layout @@ -27223,7 +26894,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27246,7 +26917,7 @@ v e - + \begin_inset Text \begin_layout Plain Layout @@ -27261,7 +26932,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27284,7 +26955,7 @@ d e - + \begin_inset Text \begin_layout Plain Layout @@ -27299,7 +26970,7 @@ e \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27500,8 +27171,8 @@ textcircled \align center \begin_inset Tabular - - + + @@ -27518,29 +27189,13 @@ 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 @@ -27551,7 +27206,7 @@ textcircled{w} \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -27573,8 +27228,8 @@ textcircled{w} \end_inset - - + + \begin_inset Text \begin_layout Plain Layout @@ -27593,14 +27248,10 @@ 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 @@ -27622,10 +27273,6 @@ raisebox{-1.5pt}W} \end_inset -\begin_inset Formula $\raisebox{-2mm}{}$ -\end_inset - - \end_layout \end_inset @@ -27775,10 +27422,6 @@ Formula ! styles \begin_layout Itemize There are two different alignment styles: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_deeper @@ -27858,10 +27501,6 @@ pt will be used. \end_deeper \begin_layout Itemize And two different numbering styles: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_deeper @@ -27956,27 +27595,27 @@ arg "newline-insert newline" inside a formula. This creates either an \series bold -eqnarray environment +align environment \series default that is described in \begin_inset CommandInset ref LatexCommand ref -reference "subsec:Eqnarray-Environment" +reference "subsec:Standard-align-Environment" \end_inset - or, when the option + or, when automatically loading the package \family sans -Use AMS math package + AMS math \family default - in the document settings is selected, an + is disabled in the document settings, an \series bold -align environment +eqnarray environment \series default that is described in \begin_inset CommandInset ref LatexCommand ref -reference "subsec:Standard-align-Environment" +reference "subsec:Eqnarray-Environment" \end_inset @@ -28008,13 +27647,13 @@ 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 @@ -29017,13 +28656,13 @@ 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 @@ -30271,27 +29910,14 @@ 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 @@ -30327,7 +29953,7 @@ C=A+B\label{eq:c} \begin_layout Standard \begin_inset ERT -status collapsed +status open \begin_layout Plain Layout @@ -30353,22 +29979,8 @@ 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 @@ -30408,36 +30020,13 @@ 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" @@ -30451,34 +30040,29 @@ 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 @@ -30519,8 +30103,57 @@ 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 @@ -30534,11 +30167,37 @@ 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 @@ -31230,6 +30889,13 @@ makeatother \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 @@ -31819,10 +31485,6 @@ 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 @@ -32734,13 +32396,6 @@ Manuals . \end_layout -\begin_layout Standard -\begin_inset Newpage newpage -\end_inset - - -\end_layout - \begin_layout Section User-defined Commands \begin_inset Index idx @@ -33134,10 +32789,6 @@ white \begin_layout Standard A test of the new defined commands: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -34397,6 +34048,35 @@ Maxima \end_inset +\end_layout + +\begin_layout Itemize +\begin_inset Formula $\int\left(\frac{1}{1+x^{3}}\right)dx=-\frac{\log\left(x^{2}-x+1\right)}{6}+\frac{\arctan\left(\frac{2\,x-1}{\sqrt{3}}\right)}{\sqrt{3}}+\frac{\log\left(x+1\right)}{3}$ +\end_inset + + +\begin_inset Newline newline +\end_inset + + +\begin_inset Note Greyedout +status open + +\begin_layout Plain Layout + +\series bold +Note: +\series default + One needs to use proper delimiter insets +\begin_inset Formula $\left(\right)$ +\end_inset + + instead of simple '(' ')' characters. +\end_layout + +\end_inset + + \end_layout \begin_layout Itemize @@ -34415,6 +34095,20 @@ Maxima \end_inset +\end_layout + +\begin_layout Itemize +\begin_inset Formula $powerseries\left(-\log\left(5-x\right),x,1\right)=\sum_{{\mathit{i}_{2}}=0}^{\infty}{\frac{4^{-{\mathit{i}_{2}}-1}\,\left(x-1\right)^{{\mathit{i}_{2}}+1}}{{\mathit{i}_{2}}+1}}-\log4$ +\end_inset + + +\end_layout + +\begin_layout Itemize +\begin_inset Formula $solve\left(x_{1}+y_{1}^{3}=y_{1}+x_{1}^{2},x_{1}\right)=\left[x_{1}=-\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}-1}{2},x_{1}=\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}+1}{2}\right]$ +\end_inset + + \end_layout \begin_layout Subsection @@ -34504,10 +34198,6 @@ Thus, the problem disappears when converting the minus sign to mathematical \begin_layout Standard An example to visualize the problem: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -34774,10 +34464,6 @@ braket \begin_layout Standard The following commands are defined: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -35091,10 +34777,6 @@ The style is a number in the range of 0 \end_inset 3. -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -35319,6 +35001,13 @@ 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 @@ -35366,10 +35055,6 @@ cancel \end_inset -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -38052,7 +37737,7 @@ 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