Add \cartprodthree command to avoid nesting \cartprod.

[mjotex.git] / mjo-common.tex

diff --git a/mjo-common.tex b/mjo-common.tex
index 40a7d6c243f657f2f2d1809709bacded8499d74d..26e761bda919ae79d587a16e8b435f49cd019694 100644 (file)
--- 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