X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=examples.tex;h=cd615de16cbab3fc8381aac6aeb4039d945f5601;hb=ce3ce924bd8bbf2eb626bdca2918d5acc6a973fb;hp=dde74d0f6997418a8ab283ee1f6fb53452f6a6bf;hpb=8f3a3f952b0e5bd692b9b41d1417c877b0e0425e;p=mjotex.git diff --git a/examples.tex b/examples.tex index dde74d0..cd615de 100644 --- a/examples.tex +++ b/examples.tex @@ -112,6 +112,7 @@ \begin{equation*} \directsummany{k=1}{\infty}{V_{k}} \ne \cartprodmany{k=1}{\infty}{V_{k}}. \end{equation*} + % Here are a few common tuple spaces that should not have a superscript when that superscript would be one: $\Nn[1]$, $\Zn[1]$, $\Qn[1]$, $\Rn[1]$, $\Cn[1]$. However, if the @@ -130,8 +131,9 @@ \begin{equation*} \unionmany{k=1}{\infty}{A_{k}} = \intersectmany{k=1}{\infty}{B_{k}} \end{equation*} - - Finally, we have the four standard types of intervals in $\Rn[1]$, + % + The powerset of $X$ displays nicely, as $\powerset{X}$. Finally, + we have the four standard types of intervals in $\Rn[1]$, % \begin{align*} \intervaloo{a}{b} &= \setc{ x \in \Rn[1]}{ a < x < b },\\ @@ -171,7 +173,14 @@ \end{section} \begin{section}{Font} - We can write things like Carathéodory and Güler and $\mathbb{R}$. + We can write things like Carathéodory and Güler and + $\mathbb{R}$. The PostScript Zapf Chancery font is also available + in both upper- and lower-case: + % + \begin{itemize} + \begin{item}$\mathpzc{abcdefghijklmnopqrstuvwxyz}$\end{item} + \begin{item}$\mathpzc{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$\end{item} + \end{itemize} \end{section} \begin{section}{Linear algebra}