]> gitweb.michael.orlitzky.com - mjotex.git/blobdiff - examples.tex
Add arbitrary indexed union/intersection (and examples) to mjo-common.
[mjotex.git] / examples.tex
index c87f59bdc792d78d7d5e88e0158510616bf63b56..ee0409699b5a5041fe833e90dac720b8223d04f1 100644 (file)
     We also have a few basic set operations, for example the union of
     two or three sets: $\union{A}{B}$, $\unionthree{A}{B}{C}$. And of
     course with union comes intersection: $\intersect{A}{B}$,
-    $\intersectthree{A}{B}{C}$.
+    $\intersectthree{A}{B}{C}$. We can also take an arbitrary
+    (indexed) union and intersections of things, like
+    $\unionmany{k=1}{\infty}{A_{k}}$ or
+    $\intersectmany{k=1}{\infty}{B_{k}}$. The best part about those
+    are that they do the right thing in a display equation:
+    %
+    \begin{equation*}
+      \unionmany{k=1}{\infty}{A_{k}} = \intersectmany{k=1}{\infty}{B_{k}}
+    \end{equation*}
+    %
   \end{section}
 
   \begin{section}{Cone}