X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=examples.tex;h=98ddfd550b08ea4fd78301eb47c0aea19cb8de7a;hp=ee0409699b5a5041fe833e90dac720b8223d04f1;hb=5c4f67545f0988d065f1d52f90eed9233562c9fc;hpb=16277f17cbd1a3c797d13cc2724784eedc207f22 diff --git a/examples.tex b/examples.tex index ee04096..98ddfd5 100644 --- a/examples.tex +++ b/examples.tex @@ -55,7 +55,7 @@ (indexed) union and intersections of things, like $\unionmany{k=1}{\infty}{A_{k}}$ or $\intersectmany{k=1}{\infty}{B_{k}}$. The best part about those - are that they do the right thing in a display equation: + is that they do the right thing in a display equation: % \begin{equation*} \unionmany{k=1}{\infty}{A_{k}} = \intersectmany{k=1}{\infty}{B_{k}} @@ -103,6 +103,30 @@ The set of all bounded linear operators from $V$ to $W$ is $\boundedops[W]{V}$. If $W = V$, then we write $\boundedops{V}$ instead. + + The direct sum of $V$ and $W$ is $\directsum{V}{W}$, of course, + but what if $W = V^{\perp}$? Then we wish to indicate that fact by + writing $\directsumperp{V}{W}$. That operator should survive a + display equation, too, and the weight of the circle should match + that of the usual direct sum operator. + % + \begin{align*} + Z = \directsumperp{V}{W}\\ + \oplus \oplusperp \oplus \oplusperp + \end{align*} + % + Its form should also survive in different font sizes... + \Large + \begin{align*} + Z = \directsumperp{V}{W}\\ + \oplus \oplusperp \oplus \oplusperp + \end{align*} + \Huge + \begin{align*} + Z = \directsumperp{V}{W}\\ + \oplus \oplusperp \oplus \oplusperp + \end{align*} + \normalsize \end{section} \begin{section}{Listing}