X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-common.tex;h=26e761bda919ae79d587a16e8b435f49cd019694;hb=90f73298ec65ab89af5131ec8473f9c5909d333c;hp=40a7d6c243f657f2f2d1809709bacded8499d74d;hpb=11c5394107f7501b64b073d1ed8161720a91c2f3;p=mjotex.git

diff --git a/mjo-common.tex b/mjo-common.tex
index 40a7d6c..26e761b 100644
--- a/mjo-common.tex
+++ b/mjo-common.tex
@@ -23,6 +23,12 @@
 % A pair of things.
 \providecommand*{\pair}[2]{ \left( {#1}, {#2} \right) }
 
+% The Cartesian product of two things.
+\providecommand*{\cartprod}[2]{ {#1} \times {#2} }
+
+% The Cartesian product of three things.
+\providecommand*{\cartprodthree}[3]{ \cartprod{{#1}}{\cartprod{{#2}}{{#3}}} }
+
 %
 % Product spaces
 %
@@ -32,6 +38,11 @@
 % will be omitted entirely.
 %
 
+% The natural n-space, N x N x N x ... x N.
+\providecommand*{\Nn}[1][n]{
+  \mathbb{N}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi
+}
+
 % The integral n-space, Z x Z x Z x ... x Z.
 \providecommand*{\Zn}[1][n]{
   \mathbb{Z}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi