From: JB Collins <joebmath@yahoo.com>

Date: Mon, 3 Nov 2008 18:19:34 -0800 (PST)

To: www-math@w3.org

Message-ID: <578955.35486.qm@web57606.mail.re1.yahoo.com>

Date: Mon, 3 Nov 2008 18:19:34 -0800 (PST)

To: www-math@w3.org

Message-ID: <578955.35486.qm@web57606.mail.re1.yahoo.com>

Assume that the mass of an object is given by the volume integral of its mass density. In LaTeX: $\int \rho({\bf r}) d^3{\bf r}$ The (unambiguous) interpretation of this is the integration of the density over all 3-space, regardless of the basis in which the vector, r, may later be expressed. Can this be expressed in Content MathML compactly, without the assumption of a basis? Certainly if I assume a basis, e.g., Cartesian coordinates, then I could express the integral as <apply> <int/> <bvar> <ci>x</ci> </bvar> <lowlimit><minfinity/></lowlimit> <uplimit><infinity/></uplimit> <apply> <int/> <bvar> <ci>y</ci> </bvar> <lowlimit><minfinity/></lowlimit> <uplimit><infinity/></uplimit> <apply> <int/> <bvar> <ci>z</ci> </bvar> <lowlimit><minfinity/></lowlimit> <uplimit><infinity/></uplimit> <apply> <fn>&rho</fn> <vector> <ci>x</ci> <ci>y</ci> <ci>z</ci> </vector> </apply> </apply> </apply> </apply> Regards, Joe C.Received on Tuesday, 4 November 2008 02:20:23 GMT

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