From mboxrd@z Thu Jan  1 00:00:00 1970
X-Msuck: nntp://news.gmane.io/gmane.comp.tex.context/938
Path: main.gmane.org!not-for-mail
From: David Arnold <darnold@northcoast.com>
Newsgroups: gmane.comp.tex.context
Subject: Sample of the day ---Operator names
Date: Thu, 16 Sep 1999 11:34:55 -0700
Sender: owner-ntg-context@let.uu.nl
Message-ID: <3.0.5.32.19990916113455.00b56600@mail.northcoast.com>
NNTP-Posting-Host: coloc-standby.netfonds.no
Mime-Version: 1.0
Content-Type: multipart/mixed; boundary="=====================_937532095==_"
X-Trace: main.gmane.org 1035391780 28448 80.91.224.250 (23 Oct 2002 16:49:40 GMT)
X-Complaints-To: usenet@main.gmane.org
NNTP-Posting-Date: Wed, 23 Oct 2002 16:49:40 +0000 (UTC)
Original-To: ntg-context@ntg.nl
Xref: main.gmane.org gmane.comp.tex.context:938
X-Report-Spam: http://spam.gmane.org/gmane.comp.tex.context:938

--=====================_937532095==_
Content-Type: text/plain; charset="us-ascii"

\magnification=1200

\AmSTeX\ makes it easy to define new operator names.

\define\tr{\operatorname{Tr}}

The sum of the elements on the main diagonal is called the {\it
trace} of the matrix; i.e., if
$$
A=\pmatrix
a_{11} & a_{12} & \dots & a_{1n}\\
a_{21} & a_{22} & \dots & a_{2n}\\
\vdots & \vdots & \ddots & \vdots\\
a_{n1} & a_{n2} & \dots & a_{nn}
\endpmatrix,
$$
then
$$
\tr(A)=a_{11}+a_{22}+\cdots+a_{nn}.
$$

You can also declare operator names for use with limits.

\define\res{\operatornamewithlimits{Res}}

$$
\res_{x=0}\frac{f(x)}{x}
$$

If $\res_{x=0} f(x)/x$, \dots
\bye

--=====================_937532095==_
Content-Type: application/octet-stream; name="operators.dvi";
 x-mac-type="4F445649"; x-mac-creator="4F544558"
Content-Transfer-Encoding: base64
Content-Disposition: attachment; filename="operators.dvi"
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--=====================_937532095==_--