X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=examples.tex;h=0656165d2c7821f1f366cda489bf3dd21f4eaa54;hp=a2e9cf34cb704826ed403907e2034eba952aeec6;hb=fe30cc3cf8f9a88785d2899d00a727931377bb5d;hpb=6759e3a5bd5fd13bd239ee851c66d1eac83a7c1b

diff --git a/examples.tex b/examples.tex
index a2e9cf3..0656165 100644
--- a/examples.tex
+++ b/examples.tex
@@ -117,11 +117,7 @@
     superscript when that superscript would be one: $\Nn[1]$,
     $\Zn[1]$, $\Qn[1]$, $\Rn[1]$, $\Cn[1]$. However, if the
     superscript is (say) two, then it appears: $\Nn[2]$, $\Zn[2]$,
-    $\Qn[2]$, $\Rn[2]$, $\Cn[2]$. Likewise we have the $n$-by-$n$
-    real-symmetric and complex-Hermitian matrices $\Sn$ and $\Hn$
-    respectively; however $\Sn[1]$ and $\Hn[1]$ do not automatically
-    simplify because the ``$n$'' does not indicate the arity of a
-    Cartesian product in this case.
+    $\Qn[2]$, $\Rn[2]$, $\Cn[2]$.
 
     We also have a few basic set operations, for example the union of
     two or three sets: $\union{A}{B}$, $\unionthree{A}{B}{C}$. And of
@@ -196,7 +192,11 @@
     $\transpose{L}$. Its trace is $\trace{L}$. Another matrix-specific
     concept is the Moore-Penrose pseudoinverse of $L$, denoted by
     $\pseudoinverse{L}$. Finally, the rank of a matrix $L$ is
-    $\rank{L}$.
+    $\rank{L}$. As far as matrix spaces go, we have the $n$-by-$n$
+    real-symmetric and complex-Hermitian matrices $\Sn$ and $\Hn$
+    respectively; however $\Sn[1]$ and $\Hn[1]$ do not automatically
+    simplify because the ``$n$'' does not indicate the arity of a
+    Cartesian product in this case.
 
     The span of a set $X$ is $\spanof{X}$, and its codimension is
     $\codim{X}$. The projection of $X$ onto $V$ is $\proj{V}{X}$. The