X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=examples.tex;h=897396c1061d05706da5b7d21cd187aa6199b76b;hb=6fa398b6d3929e666e21fb92f6c097be01ce5fb4;hp=f33ed747d4f5e03dd3cb33f7106e9a417d8f2748;hpb=db9108a5c69e72667f4731880f1e3173459675fd;p=mjotex.git

diff --git a/examples.tex b/examples.tex
index f33ed74..897396c 100644
--- a/examples.tex
+++ b/examples.tex
@@ -69,6 +69,15 @@
     \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 $\Rn[1]$,
+    %
+    \begin{align*}
+      \intervaloo{a}{b} &= \setc{ x \in \Rn[1]}{ a < x < b },\\
+      \intervaloc{a}{b} &= \setc{ x \in \Rn[1]}{ a < x \le b },\\
+      \intervalco{a}{b} &= \setc{ x \in \Rn[1]}{ a \le x < b }, \text{ and }\\
+      \intervalcc{a}{b} &= \setc{ x \in \Rn[1]}{ a \le x \le b }.
+    \end{align*}
   \end{section}
 
   \begin{section}{Cone}
@@ -98,7 +107,9 @@
     their tensor product is $\tp{x}{y}$. The Kronecker product of
     matrices $A$ and $B$ is $\kp{A}{B}$. The adjoint of the operator
     $L$ is $\adjoint{L}$, or if it's a matrix, then its transpose is
-    $\transpose{L}$. Its trace is $\trace{L}$.
+    $\transpose{L}$. Its trace is $\trace{L}$. Another matrix-specific
+    concept is the Moore-Penrose pseudoinverse of $L$, denoted by
+    $\pseudoinverse{L}$.
 
     The span of a set $X$ is $\spanof{X}$, and its codimension is
     $\codim{X}$. The projection of $X$ onto $V$ is $\proj{V}{X}$. The