http://www.mapleprimes.com/maplesoftblog/100265-Subscripts-As-Partial-Differentiation-Operators en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Wed, 10 Jun 2026 16:25:36 GMT Wed, 10 Jun 2026 16:25:36 GMT The latest comments added to the Blog Entry, Subscripts as Partial Differentiation Operators http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/maplesoftblog/100265-Subscripts-As-Partial-Differentiation-Operators http://www.mapleprimes.com/maplesoftblog/100265-Subscripts-As-Partial-Differentiation-Operators?ref=Feed:MaplePrimes:Subscripts as Partial Differentiation Operators:Comments#comment201891 <p><!--break--></p> <p>Dear Sir</p> <p>I am performing compositing differetiation of some function and need to compsite derivatives in subscript format without using &#39;D&#39;. Please see worksheet.</p> <p><br> &nbsp;</p> <form name="worksheet_form"><input name="md.ref" type="hidden" value="C7071563404DEB48A02B6126FF58000E"> <table align="center" width="768"> <tbody> <tr> <td> <table style="margin-left:0px;margin-right:0px"> <tbody> <tr valign="baseline"> <td><span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;">&gt;&nbsp;</span></td> <td> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="with(PDEtools):" height="23" src="/view.aspx?sf=201891_Comment/0dfa6f7c2e6be49443b6578146b82e77.gif" style="vertical-align:-6px" width="115"></p> </td> </tr> </tbody> </table> <table style="margin-left:0px;margin-right:0px"> <tbody> <tr valign="baseline"> <td><span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;">&gt;&nbsp;</span></td> <td> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="DepVars := [alpha(x, y, t), beta(x, y, t), xi(x, y, t), tau(x, y, t), eta(x, y, t), U(xi(x, y, t), tau(x, y, t), eta(x, y, t))]" height="23" src="/view.aspx?sf=201891_Comment/aea66fdb0f39664da69ae1e0f03e63b4.gif" style="vertical-align:-6px" width="672"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="[alpha(x, y, t), beta(x, y, t), xi(x, y, t), tau(x, y, t), eta(x, y, t), U(xi(x, y, t), tau(x, y, t), eta(x, y, t))]" height="26" src="/view.aspx?sf=201891_Comment/a2dd8608a70159a007aca96d7fe1b393.gif" style="vertical-align:-7px" width="581"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">(1)</td> </tr> </tbody> </table> <table style="margin-left:0px;margin-right:0px"> <tbody> <tr valign="baseline"> <td><span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;">&gt;&nbsp;</span></td> <td> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="alias(alpha = alpha(x, y, t), beta = beta(x, y, t), xi = xi(x, y, t), tau = tau(x, y, t), eta = eta(x, y, t), U = U(xi(x, y, t), tau(x, y, t), eta(x, y, t)))" height="40" src="/view.aspx?sf=201891_Comment/ee1a77b7ea19451ca9a1590aae708edc.gif" style="vertical-align:-23px" width="768"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="alpha, beta, xi, tau, eta, U" height="26" src="/view.aspx?sf=201891_Comment/68ec341669bc70db0aa91eede19cd7ba.gif" style="vertical-align:-7px" width="90"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">(2)</td> </tr> </tbody> </table> <table style="margin-left:0px;margin-right:0px"> <tbody> <tr valign="baseline"> <td><span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;">&gt;&nbsp;</span></td> <td> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="declare(alpha, beta, xi, tau, eta, U)" height="23" src="/view.aspx?sf=201891_Comment/22da256600e624e84dc8e427b06f93e0.gif" style="vertical-align:-6px" width="638"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="alpha(x, y, t)*`will now be displayed as`*alpha" height="26" src="/view.aspx?sf=201891_Comment/b7fffc2c09ed0fbab240284f81dd4020.gif" style="vertical-align:-7px" width="221"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="beta(x, y, t)*`will now be displayed as`*beta" height="26" src="/view.aspx?sf=201891_Comment/7c05f6f332d323069b948fbd7c1b17ae.gif" style="vertical-align:-7px" width="219"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="xi(x, y, t)*`will now be displayed as`*xi" height="26" src="/view.aspx?sf=201891_Comment/a127a96f693b9c2d1f35b612521e993f.gif" style="vertical-align:-7px" width="217"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="tau(x, y, t)*`will now be displayed as`*tau" height="26" src="/view.aspx?sf=201891_Comment/a6d7e80f65a607992afa61010e145276.gif" style="vertical-align:-7px" width="215"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="eta(x, y, t)*`will now be displayed as`*eta" height="26" src="/view.aspx?sf=201891_Comment/4dce16adea0e0ccef11e37e9b71cf1a4.gif" style="vertical-align:-7px" width="221"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="U(xi(x, y, t), tau(x, y, t), eta(x, y, t))*`will now be displayed as`*U" height="26" src="/view.aspx?sf=201891_Comment/60c2c2afebea1b7228f17182d99b047d.gif" style="vertical-align:-7px" width="364"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">(3)</td> </tr> </tbody> </table> <table style="margin-left:0px;margin-right:0px"> <tbody> <tr valign="baseline"> <td><span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;">&gt;&nbsp;</span></td> <td> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="u := U*beta+alpha" height="23" src="/view.aspx?sf=201891_Comment/5e7dba8de620283de01897486d6245b9.gif" style="vertical-align:-6px" width="131"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="beta*U+alpha" height="26" src="/view.aspx?sf=201891_Comment/71d4751787c93f31952fdf94598db92f.gif" style="vertical-align:-7px" width="136"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">(4)</td> </tr> </tbody> </table> <table style="margin-left:0px;margin-right:0px"> <tbody> <tr valign="baseline"> <td><span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;">&gt;&nbsp;</span></td> <td> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="diff(u, x)" height="23" src="/view.aspx?sf=201891_Comment/51bb2d5dc56458ef34478e29767b46e3.gif" style="vertical-align:-6px" width="62"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="(diff(beta, x))*U+beta*((D[1](U))(xi, tau, eta)*(diff(xi, x))+(D[2](U))(xi, tau, eta)*(diff(tau, x))+(D[3](U))(xi, tau, eta)*(diff(eta, x)))+diff(alpha, x)" height="31" src="/view.aspx?sf=201891_Comment/d5455e16146a2906aa927246bf793897.gif" style="vertical-align:-12px" width="534"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">(5)</td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><span style="color:#000000;font-size: 150%;font-family: Times New Roman,serif;background-color: #00ffff;font-weight:normal;font-style:normal;">Is possible to display </span><img alt="(D[1](U))(xi(x, y, t), tau(x, y, t), eta(x, y, t))" height="50" src="/view.aspx?sf=201891_Comment/33a5490c7bde4314deba5aa8f9993b7b.gif" style="vertical-align:-22px" width="378"><span style="color:#000000;font-size: 150%;font-family: Times New Roman,serif;background-color: #00ffff;font-weight:normal;font-style:normal;">as </span><img alt="U[xi]" height="55" src="/view.aspx?sf=201891_Comment/f06fc12656853001dc3b37f274b6eaa5.gif" style="vertical-align:-30px" width="36"><span style="color:#000000;font-size: 150%;font-family: Times New Roman,serif;background-color: #00ffff;font-weight:normal;font-style:normal;">etc.</span></p> </td> </tr> </tbody> </table> <input name="sequence" type="hidden" value="1"> <input name="cmd" type="hidden" value="none"></form> <p><br> &nbsp;</p> <p><a href="/view.aspx?sf=201891_Comment/Query1.mw">Download Query1.mw</a></p> <p>Regards</p> The latest comments added to the Blog Entry, Subscripts as Partial Differentiation Operators 201891 Mon, 24 Oct 2016 13:09:46 Z mskalsi mskalsi