mjo-common: add \lcm{} for the least common multiple.

[mjotex.git] / examples.tex

diff --git a/examples.tex b/examples.tex
index c7959732d44ce74297d43c228dd90ae267dd255a..131a213b5a465894f7691edf546952e676c2e8b1 100644 (file)
--- a/examples.tex
+++ b/examples.tex
@@ -98,7 +98,9 @@
       \end{item}
     \end{itemize}
     %
-    The factorial of the number $10$ is $\factorial{10}$.
+    The factorial of the number $10$ is $\factorial{10}$, and the
+    least common multiple of $4$ and $6$ is $\lcm{\set{4,6}} =
+    12$.
 
     The direct sum of $V$ and $W$ is $\directsum{V}{W}$. Or three
     things, $\directsumthree{U}{V}{W}$. How about more things? Like
@@ -170,7 +172,8 @@
     their tensor product is $\tp{x}{y}$. The Kronecker product of
     matrices $A$ and $B$ is $\kp{A}{B}$. The adjoint of the operator
     $L$ is $\adjoint{L}$, or if it's a matrix, then its transpose is
-    $\transpose{L}$. Its trace is $\trace{L}$. Another matrix-specific
+    $\transpose{L}$. Its trace is $\trace{L}$, and its spectrum---the
+    set of its eigenvalues---is $\spectrum{L}$. Another matrix-specific
     concept is the Moore-Penrose pseudoinverse of $L$, denoted by
     $\pseudoinverse{L}$. Finally, the rank of a matrix $L$ is
     $\rank{L}$. As far as matrix spaces go, we have the $n$-by-$n$