X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=mjo-common.tex;h=6b357abdbec9b5cdd53dd4c037d2d2e67375432b;hp=041a1eb604a1bb753ba5b8415098d4f310fecc4d;hb=HEAD;hpb=774c31185180d9cc4ca487a824ffdf9d6dafe92a diff --git a/mjo-common.tex b/mjo-common.tex index 041a1eb..ccb22da 100644 --- a/mjo-common.tex +++ b/mjo-common.tex @@ -39,6 +39,12 @@ % A seven-tuple of things. \newcommand*{\septuple}[7]{ \left({#1},{#2},{#3},{#4},{#5},{#6},{#7}\right) } +% A free-form tuple of things. Useful for when the exact number is not +% known, such as when \ldots will be stuck in the middle of the list, +% and when you don't want to think in column-vector terms, e.g. with +% elements of an abstract Cartesian product space. +\newcommand*{\tuple}[1]{ \left({#1}\right) } + % The "least common multiple of" function. Takes a nonempty set of % things that can be multiplied and ordered as its argument. Name % chosen for synergy with \gcd, which *does* exist already. @@ -142,6 +148,19 @@ } \fi +% The n-dimensional product space of a generic field F. +\newcommand*{\Fn}[1][n]{ + \mathbb{F}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi +} + +\ifdefined\newglossaryentry + \newglossaryentry{F}{ + name={\ensuremath{\Fn[1]}}, + description={a generic field}, + sort=F + } +\fi + % An indexed arbitrary binary operation such as the union or % intersection of an infinite number of sets. The first argument is