X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=mjo-common.tex;h=f96528eac1acc710babe3ec790219d5babfab4bd;hp=b269417749dcf12738b968645a0083c7aa033ed2;hb=d049732b73c04fe93839b552c403e731c0d5d8fc;hpb=90b275219d518d1c851c71c87484c1a3385f3b70 diff --git a/mjo-common.tex b/mjo-common.tex index b269417..f96528e 100644 --- a/mjo-common.tex +++ b/mjo-common.tex @@ -88,3 +88,20 @@ % A three-argument intersection. \providecommand*{\intersectthree}[3]{ \intersect{\intersect{#1}{#2}}{#3} } + +% An indexed arbitrary binary operation such as the union or +% intersection of an infinite number of sets. The first argument is +% the operator symbol to use, such as \cup for a union. The second +% argument is the lower index, for example k=1. The third argument is +% the upper index, such as \infty. Finally the fourth argument should +% contain the things (e.g. indexed sets) to be operated on. +\providecommand*{\binopmany}[4]{ + \mathchoice + { \underset{#2}{\overset{#3}{#1}}{#4} } + { {#1}_{#2}^{#3}{#4} } + { {#1}_{#2}^{#3}{#4} } + { {#1}_{#2}^{#3}{#4} } +} + +\providecommand*{\unionmany}[3]{ \binopmany{\cup}{#1}{#2}{#3} } +\providecommand*{\intersectmany}[3]{ \binopmany{\cap}{#1}{#2}{#3} }