X-Git-Url: https://git.lyx.org/gitweb/?a=blobdiff_plain;f=lib%2Fdoc%2FMath.lyx;h=dbb03f10a324367ea9fa89079d254659ff8e6e67;hb=239b9919ffe28338d789e6dc9122228f77ab77a7;hp=be0759d9518b0724472e9474de0c0a860a599c98;hpb=6196645ccefa4a03a0617e2741a824156ed9404f;p=lyx.git diff --git a/lib/doc/Math.lyx b/lib/doc/Math.lyx index be0759d951..dbb03f10a3 100644 --- a/lib/doc/Math.lyx +++ b/lib/doc/Math.lyx @@ -1,5 +1,5 @@ #LyX 2.2 created this file. For more info see http://www.lyx.org/ -\lyxformat 507 +\lyxformat 508 \begin_document \begin_header \save_transient_properties true @@ -311,7 +311,7 @@ The latest PDF-version of this document can be found here: \series bold -http://wiki.lyx.org/LyX/DocumentationDevelopment#Math +http://wiki.lyx.org/LyX/Manuals#Math \end_layout \end_inset @@ -1493,10 +1493,6 @@ arg "math-superscript" \end_inset . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -1753,10 +1749,6 @@ A line with the fraction dfrac \series default . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -2291,10 +2283,6 @@ arg "math-insert \\root" \end_inset . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -2647,10 +2635,6 @@ brack \end_inset . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -3063,10 +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 @@ -3291,10 +3271,6 @@ reference "subsec:Chemical-Symbols-and" \end_inset the following problem occurs: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -3415,10 +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 @@ -4129,10 +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 @@ -6008,10 +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 @@ -6092,10 +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 @@ -6219,10 +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 @@ -6478,10 +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 @@ -6959,10 +6911,6 @@ Load always \family default , you have access to square backets: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -7203,10 +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 @@ -8615,10 +8559,6 @@ always \end_inset -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -9143,10 +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 @@ -10412,10 +10348,6 @@ undertilde \end_inset -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -11044,10 +10976,6 @@ arg "math-insert \\space" Space \family default afterwards. -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -11521,10 +11449,6 @@ 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 @@ -11654,10 +11578,6 @@ g. \end_inset useful for summation operators: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -11772,10 +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 @@ -12801,10 +12717,6 @@ framebox fbox \series default . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -13301,12 +13213,6 @@ raisebox \end_inset -\series default - -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -13684,12 +13590,6 @@ white and \series bold yellow -\series default - -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -15973,10 +15873,6 @@ Operators ! Limits \begin_layout Standard Limits are created by super- and subscripts: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -18226,15 +18122,12 @@ 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 - + + \begin_inset Text @@ -18252,6 +18145,15 @@ Command Result \end_layout +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +Shortcut +\end_layout + \end_inset @@ -18285,6 +18187,15 @@ ABC \end_layout +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +- +\end_layout + \end_inset @@ -18316,6 +18227,20 @@ 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 @@ -18349,6 +18274,20 @@ 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 @@ -18384,6 +18323,15 @@ ABC \end_layout +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +- +\end_layout + \end_inset @@ -18417,6 +18365,15 @@ AbC \end_layout +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +- +\end_layout + \end_inset @@ -18425,15 +18382,16 @@ AbC \end_inset -\begin_inset space \hfill{} -\end_inset - +\end_layout +\begin_layout Standard +\align center \begin_inset Tabular - + + \begin_inset Text @@ -18451,6 +18409,15 @@ Command Result \end_layout +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +Shortcut +\end_layout + \end_inset @@ -18484,6 +18451,15 @@ AbC \end_layout +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +- +\end_layout + \end_inset @@ -18515,6 +18491,20 @@ 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 @@ -18548,6 +18538,20 @@ 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 @@ -18581,6 +18585,20 @@ 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 @@ -18618,13 +18636,18 @@ ABC \end_inset - - + +\begin_inset Text -\end_inset +\begin_layout Plain Layout +- +\end_layout +\end_inset + + + -\begin_inset space \hfill{} \end_inset @@ -19160,10 +19183,6 @@ arg "math-insert \\style" \end_inset : -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -20901,10 +20920,6 @@ boldsymbol \end_inset . -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -21932,13 +21947,6 @@ bot \end_inset -\end_layout - -\begin_layout Standard -\begin_inset Newpage newpage -\end_inset - - \end_layout \begin_layout Subsection @@ -22917,10 +22925,6 @@ eurosym \begin_layout Standard An overview about the different Euro symbols: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -23169,13 +23173,6 @@ fi \end_inset -\end_layout - -\begin_layout Standard -\begin_inset Newpage newpage -\end_inset - - \end_layout \begin_layout Section @@ -24603,10 +24600,6 @@ stackrel \end_inset : -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -24733,13 +24726,9 @@ 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 @@ -25423,10 +25412,6 @@ In \SpecialChar LyX \end_inset : -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -25568,10 +25553,6 @@ liminf limsup \series default the following functions are defined: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -25885,10 +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 @@ -27554,10 +27531,6 @@ Formula ! styles \begin_layout Itemize There are two different alignment styles: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_deeper @@ -27637,10 +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 @@ -28239,6 +28208,13 @@ C & \ne & A \end_inset +\end_layout + +\begin_layout Standard +\begin_inset Newpage newpage +\end_inset + + \end_layout \begin_layout Subsubsection @@ -31025,6 +31001,13 @@ makeatother \end_inset +\end_layout + +\begin_layout Standard +\begin_inset Newpage newpage +\end_inset + + \end_layout \begin_layout Subsection @@ -31625,10 +31608,6 @@ 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 @@ -32540,6 +32519,13 @@ Manuals . \end_layout +\begin_layout Standard +\begin_inset Newpage newpage +\end_inset + + +\end_layout + \begin_layout Section User-defined Commands \begin_inset Index idx @@ -32933,10 +32919,6 @@ white \begin_layout Standard A test of the new defined commands: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -34196,6 +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 @@ -34214,6 +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 @@ -34303,10 +34328,6 @@ 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 @@ -34573,10 +34594,6 @@ braket \begin_layout Standard The following commands are defined: -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -34890,10 +34907,6 @@ The style is a number in the range of 0 \end_inset 3. -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard @@ -35118,6 +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 @@ -35165,10 +35185,6 @@ cancel \end_inset -\begin_inset Separator parbreak -\end_inset - - \end_layout \begin_layout Standard