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Re: Volume integrals in Content MathML

From: JB Collins <joebmath@yahoo.com>
Date: Tue, 4 Nov 2008 13:05:42 -0800 (PST)
To: David Carlisle <davidc@nag.co.uk>
Cc: www-math@w3.org
Message-ID: <160658.51666.qm@web57601.mail.re1.yahoo.com>
p.s.

Alternate differential volume element representations are (in LaTeX)
$d^3{\bf r}, d\tau, dV$.
For usage context, see for example: 
Gauss's Theorem, Chap1, 1.1, Math Methods for Physicists, 2ed, by G. Arfken (1970), and corresponding exercises.
Also Chap 5, titled "Vector Integration", in Schaum's Outline of "Vector Analysis" by M. R. Spiegel (1959)

It would be useful to have a way to abstractly refer, in a basis free manner, to curves, surfaces, volumes, etc., over which integrals are to be evaluated.

Regards,
Joe C.

--- On Tue, 11/4/08, David Carlisle <davidc@nag.co.uk> wrote:
From: David Carlisle <davidc@nag.co.uk>
Subject: Re: Volume integrals in Content MathML
To: joebmath@yahoo.com
Cc: www-math@w3.org
Date: Tuesday, November 4, 2008, 7:08 AM


does
  <apply><int/>
  <bvar><ci> r </ci></bvar>
  <condition>
   <apply> <in/>
      <ci> r </ci>
   <apply><cartesianproduct/><reals/> <reals/>
<reals/></apply>
   </apply>
 </condition>
    \rho({\bf r})...
</apply>

mean the right thing?

David

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Received on Tuesday, 4 November 2008 21:13:03 GMT

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