X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=examples.tex;h=383cef2b5f9c89889e2d38fbfe4d8d42a5e0e339;hp=740dd02f473945597cb4f0b42893a456f71011a7;hb=HEAD;hpb=5b800f8b14e519dc313fbcd2db2553080587d9c8 diff --git a/examples.tex b/examples.tex index 740dd02..383cef2 100644 --- a/examples.tex +++ b/examples.tex @@ -39,7 +39,11 @@ If $R$ has a multiplicative identity (that is, a unit) element, then that element is denoted by $\unit{R}$. Its additive identity - element is $\zero{R}$. + element is $\zero{R}$. The stabilizer (or isotropy) + subgroup of $G$ that fixes $x$ is $\Stab{G}{x}$. + + If $I$ is an ideal, then $\variety{I}$ is the variety that + corresponds to it. \end{section} \begin{section}{Algorithm} @@ -213,7 +217,9 @@ The set of all bounded linear operators from $V$ to $W$ is $\boundedops[W]{V}$. If $W = V$, then we write $\boundedops{V}$ - instead. + instead. If you have matrices instead, then the general linear + group of $n$-by-$n$ matrices with entries in $\mathbb{F}$ is + $\GL{n}{\mathbb{F}}$. If you want to solve a system of equations, try Cramer's rule~\cite{ehrenborg}. Or at least the reduced row-echelon form of