]> gitweb.michael.orlitzky.com - mjotex.git/commitdiff
mjo-common: add higher tuples, up to septuple.
authorMichael Orlitzky <michael@orlitzky.com>
Fri, 1 Nov 2019 21:06:05 +0000 (17:06 -0400)
committerMichael Orlitzky <michael@orlitzky.com>
Fri, 1 Nov 2019 21:10:15 +0000 (17:10 -0400)
examples.tex
mjo-common.tex

index 9e376ccd58757500d96fbf6df2f5395e70b6c39b..cb7d28a1f41d3a17c02635b370c3cb0fbe36a54f 100644 (file)
   \begin{section}{Common}
     The function $f$ applied to $x$ is $f\of{x}$. We can group terms
     like $a + \qty{b - c}$ or $a + \qty{b - \sqty{c - d}}$. Here's a
-    set $\set{1,2,3} = \setc{n \in \Nn[1]}{ n \le 3 }$. Here's a pair
-    of things $\pair{1}{2}$ or a triple of them $\triple{1}{2}{3}$,
-    and the factorial of the number $10$ is $\factorial{10}$.
+    set $\set{1,2,3} = \setc{n \in \Nn[1]}{ n \le 3 }$. The tuples go
+    up to seven, for now:
+    %
+    \begin{itemize}
+      \begin{item}
+        Pair: $\pair{1}{2}$,
+      \end{item}
+      \begin{item}
+        Triple: $\triple{1}{2}{3}$,
+      \end{item}
+      \begin{item}
+        Quadruple: $\quadruple{1}{2}{3}{4}$,
+      \end{item}
+      \begin{item}
+        Qintuple: $\quintuple{1}{2}{3}{4}{5}$,
+      \end{item}
+      \begin{item}
+        Sextuple: $\sextuple{1}{2}{3}{4}{5}{6}$,
+      \end{item}
+      \begin{item}
+        Septuple: $\septuple{1}{2}{3}{4}{5}{6}{7}$.
+      \end{item}
+    \end{itemize}
+    %
+    The factorial of the number $10$ is $\factorial{10}$.
 
     The Cartesian product of two sets $A$ and $B$ is
     $\cartprod{A}{B}$; if we take the product with $C$ as well, then
index e74648416d8a02bb7128c7f50275daecb5e7d3a8..27c4c7b3f3d8ee8e81f03bab8f5df3afa6102e3d 100644 (file)
 % A triple of things.
 \newcommand*{\triple}[3]{ \left({#1},{#2},{#3}\right) }
 
+% A four-tuple of things.
+\newcommand*{\quadruple}[4]{ \left({#1},{#2},{#3},{#4}\right) }
+
+% A five-tuple of things.
+\newcommand*{\quintuple}[5]{ \left({#1},{#2},{#3},{#4},{#5}\right) }
+
+% A six-tuple of things.
+\newcommand*{\sextuple}[6]{ \left({#1},{#2},{#3},{#4},{#5},{#6}\right) }
+
+% A seven-tuple of things.
+\newcommand*{\septuple}[7]{ \left({#1},{#2},{#3},{#4},{#5},{#6},{#7}\right) }
+
 % The Cartesian product of two things.
 \newcommand*{\cartprod}[2]{ {#1}\times{#2} }