From 37b342a8a6fada8b0fbe828bdf97f346b538f5f4 Mon Sep 17 00:00:00 2001 From: Michael Orlitzky Date: Fri, 1 Nov 2019 17:06:05 -0400 Subject: [PATCH] mjo-common: add higher tuples, up to septuple. --- examples.tex | 28 +++++++++++++++++++++++++--- mjo-common.tex | 12 ++++++++++++ 2 files changed, 37 insertions(+), 3 deletions(-) diff --git a/examples.tex b/examples.tex index 9e376cc..cb7d28a 100644 --- a/examples.tex +++ b/examples.tex @@ -68,9 +68,31 @@ \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 diff --git a/mjo-common.tex b/mjo-common.tex index e746484..27c4c7b 100644 --- a/mjo-common.tex +++ b/mjo-common.tex @@ -37,6 +37,18 @@ % 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} } -- 2.43.2