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}
The function $f$ applied to $x$ is $f\of{x}$, and the restriction
of $f$ to a subset $X$ of its domain is $\restrict{f}{X}$. We can
group terms like $a + \qty{b - c}$ or $a + \qty{b - \sqty{c -
- d}}$. The tuples go up to seven, for now:
+ d}}$. The tuples go up to seven, for now, and then we give up
+ and use the general construct:
%
\begin{itemize}
\begin{item}
\begin{item}
Septuple: $\septuple{1}{2}{3}{4}{5}{6}{7}$.
\end{item}
+ \begin{item}
+ Tuple: $\tuple{1,2,\ldots,8675309}$.
+ \end{item}
\end{itemize}
%
The factorial of the number $10$ is $\factorial{10}$, and the
\begin{section}{Euclidean Jordan algebras}
The Jordan product of $x$ and $y$ in some Euclidean Jordan algebra
- is $\jp{x}{y}$.
+ $V$ is $\jp{x}{y}$. The Jordan-automorphism group of $V$ is
+ $\JAut{V}$. Two popular operators in an EJA are its quadratic
+ representation and ``left multiplication by'' operator. For a
+ given $x$, they are, respectively, $\quadrepr{x}$ and
+ $\leftmult{x}$.
\end{section}
\begin{section}{Font}
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