X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=examples.tex;h=cd615de16cbab3fc8381aac6aeb4039d945f5601;hp=e1f375fdc68d219d144010732030850d31cd5869;hb=123eb0365b7a38288f0cd80a0c70b203b8ff33fd;hpb=66f91bd13a303f46822639420a20b5bffbe7a963 diff --git a/examples.tex b/examples.tex index e1f375f..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 },\\