X-Git-Url: https://git.lyx.org/gitweb/?a=blobdiff_plain;f=lib%2Fdoc%2FMath.lyx;h=fca41b3e2c754373dae610bf86cb81fb2dfcc411;hb=c1e698fd8688bd64194631b5223a22f341a0fd7a;hp=7e65db6fdc5eca14f486b8b3b8ca32f64fa56971;hpb=4c361a7bdfe69fbc41da53ebbd5f34a4e1ea3e1f;p=features.git diff --git a/lib/doc/Math.lyx b/lib/doc/Math.lyx index 7e65db6fdc..fca41b3e2c 100644 --- a/lib/doc/Math.lyx +++ b/lib/doc/Math.lyx @@ -213,7 +213,6 @@ \html_math_output 0 \html_css_as_file 0 \html_be_strict false -\author 5863208 "ab" \end_header \begin_body @@ -1494,10 +1493,6 @@ arg "math-superscript" \end_inset . -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -1754,10 +1749,6 @@ A line with the fraction dfrac \series default . -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -2292,10 +2283,6 @@ arg "math-insert \\root" \end_inset . -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -2648,10 +2635,6 @@ brack \end_inset . -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -3064,10 +3047,6 @@ not every character can be displayed canceled. The characters are quasi accentuated by a slash. -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -3292,10 +3271,6 @@ reference "subsec:Chemical-Symbols-and" \end_inset the following problem occurs: -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -3416,10 +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 latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -4130,10 +4101,6 @@ dots , \SpecialChar LaTeX decides on the basis of the next character what type is used. -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -6009,10 +5976,6 @@ Bigg \begin_layout Standard These commands are used to emphasize levels of brackets: -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -6093,10 +6056,6 @@ C \begin_layout Standard Here is an overview about all bracket sizes: -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -6220,10 +6179,6 @@ r \begin_layout Standard In the following table is a comparison of the variants: -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -6479,10 +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 latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -6960,10 +6911,6 @@ Load always \family default , you have access to square backets: -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -7204,10 +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 latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -8616,10 +8559,6 @@ always \end_inset -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -9144,10 +9083,6 @@ xrightleftharpoons \begin_layout Standard The command scheme is for all these arrows: -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -10413,10 +10348,6 @@ undertilde \end_inset -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -11045,10 +10976,6 @@ arg "math-insert \\space" Space \family default afterwards. -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -11522,10 +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 latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -11655,10 +11578,6 @@ g. \end_inset useful for summation operators: -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -11773,10 +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 latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -12802,10 +12717,6 @@ framebox fbox \series default . -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -13304,10 +13215,6 @@ raisebox \series default -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -13687,10 +13594,6 @@ white yellow \series default -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -15974,10 +15877,6 @@ Operators ! Limits \begin_layout Standard Limits are created by super- and subscripts: -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -19161,10 +19060,6 @@ arg "math-insert \\style" \end_inset : -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -20902,10 +20797,6 @@ boldsymbol \end_inset . -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -22918,10 +22809,6 @@ eurosym \begin_layout Standard An overview about the different Euro symbols: -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -24604,10 +24491,6 @@ stackrel \end_inset : -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -24734,13 +24617,9 @@ 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 latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -25424,10 +25303,6 @@ In \SpecialChar LyX \end_inset : -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -25569,10 +25444,6 @@ liminf limsup \series default the following functions are defined: -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -25886,10 +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 latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -27555,10 +27422,6 @@ Formula ! styles \begin_layout Itemize There are two different alignment styles: -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_deeper @@ -27638,10 +27501,6 @@ pt will be used. \end_deeper \begin_layout Itemize And two different numbering styles: -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_deeper @@ -31626,10 +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 latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -32934,10 +32789,6 @@ white \begin_layout Standard A test of the new defined commands: -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -34200,31 +34051,32 @@ Maxima \end_layout \begin_layout Itemize - -\change_inserted 5863208 1465782906 \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 Foot +\begin_inset Newline newline +\end_inset + + +\begin_inset Note Greyedout status open \begin_layout Plain Layout -\change_inserted 5863208 1465782906 -Note that one needs to use proper delimiter insets +\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 - -\change_unchanged - + \end_layout \begin_layout Itemize @@ -34245,30 +34097,18 @@ Note that one needs to use proper delimiter insets \end_layout -\begin_layout Standard - -\change_inserted 5863208 1465782942 -One can also use standard commands known to CAS: -\end_layout - \begin_layout Itemize - -\change_inserted 5863208 1465782942 -\begin_inset Formula $powerseries\left(-\log\left(5-x\right),x,1\right)=\sum_{{\mathit i_{2}}=0}^{\infty}{\frac{4^{-{\mathit i_{2}}-1}\,\left(x-1\right)^{{\mathit i_{2}}+1}}{{\mathit i_{2}}+1}}-\log4$ +\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 - -\change_inserted 5863208 1465782942 \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 -\change_unchanged - \end_layout \begin_layout Subsection @@ -34358,10 +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 latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -34628,10 +34464,6 @@ braket \begin_layout Standard The following commands are defined: -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -34945,10 +34777,6 @@ The style is a number in the range of 0 \end_inset 3. -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard @@ -35173,6 +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 @@ -35220,10 +35055,6 @@ cancel \end_inset -\begin_inset Separator latexpar -\end_inset - - \end_layout \begin_layout Standard