MaplePrimes - answers and comments on Question, Using LeviCivita or Levi_Civita

MaplePrimes - answers and comments on Question, Using LeviCivita or Levi_Civita http://www.mapleprimes.com/questions/127682-Using-LeviCivita-Or-LeviCivita en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Sat, 13 Jun 2026 21:24:26 GMT Sat, 13 Jun 2026 21:24:26 GMT The latest answers and comments added to the Question, Using LeviCivita or Levi_Civita http://www.mapleprimes.com/images/mapleprimeswhite.jpg MaplePrimes - answers and comments on Question, Using LeviCivita or Levi_Civita http://www.mapleprimes.com/questions/127682-Using-LeviCivita-Or-LeviCivita Yes: Simplify. http://www.mapleprimes.com/questions/127682-Using-LeviCivita-Or-LeviCivita?ref=Feed:MaplePrimes:Using LeviCivita or Levi_Civita:Comments#answer151431 <p><br> </p> <form name="worksheet_form"> <table style="width: 576px;" align="center"> <tbody> <tr> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left">Hi</p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left">I only saw your post now .. anyway:</p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td>> </td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/546a4f62d612b8f6879bccc22a96cef5.gif" alt="restart; with(Physics)" width="149" height="23"></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><br> From the formula you posted I assume you are working in a 3D Euclidean space; set things accordingly and define a tensor A</p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td>> </td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/f2588f2ed7732def85d6b419d34d3522.gif" alt="Setup(dimension = [3, `+`], coordinates = X, spacetimeindices = lowercaselatin);" width="564" height="23"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/6259f4740eef3729c87956af345e0f17.gif" alt="`* Partial match of 'coordinates' against keyword 'coordinatesystems'`" width="423" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/8c9c92609f50e2af44eaca2871c8632c.gif" alt="`The dimension and signature of the tensor space are set to: [3, +] `" width="409" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/ee2fb9d6b94fcbee83a8cd936b20a923.gif" alt="`Default differentiation variables for d_, D_ and dAlembertian are: `*{X = (x1, x2, x3)}" width="521" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/6f0b130c3bb3cf150d49df93d1c4585d.gif" alt="`Systems of spacetime Coordinates are: `*{X = (x1, x2, x3)}" width="354" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -23;" src="/view.aspx?sf=151431/468751/f1c54cb924050a2ed63b35e8aef32503.gif" alt="[coordinatesystems = {X}, dimension = 3, signature = `+`, spacetimeindices = lowercaselatin]" width="546" height="40" align="middle"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/38c86a2007c9f6148b3cbf0c5388ad20.gif" alt="`Defined objects with tensor properties`" width="235" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=151431/468751/eaa3a219c61b5724084e4a88761da2f2.gif" alt="{A, Physics:-Dgamma[mu], Physics:-Psigma[mu], Physics:-d_[mu], Physics:-g_[mu, nu], Physics:-KroneckerDelta[mu, nu], Physics:-LeviCivita[alpha, mu, nu], Physics:-SpaceTimeVector[mu](X)}" width="221" height="35"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(1)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left">Your formula is (using the abbreviation ep_ for LeviCivita)</p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td>> </td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/0b420d1b6393191e990ed01d1df90966.gif" alt="Physics:-`*`(Physics:-`*`(d_[i](d_[m](A[n](X))), ep_[m, n, j]), ep_[i, j, k])" width="303" height="23"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -13;" src="/view.aspx?sf=151431/468751/d18222bed27b1d56d111e6b91cdb9a97.gif" alt="Physics:-d_[i](Physics:-d_[m](A[n](X), [X]), [X])*Physics:-LeviCivita[j, m, n]*Physics:-LeviCivita[i, j, k]" width="173" height="30"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(2)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left">To obtain the right-hand side you show, you can use Simplify</p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td>> </td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/c2e36a888b70e66514f62a83a4832cfb.gif" alt="Simplify(Physics:-d_[i](Physics:-d_[m](A[n](X), [X]), [X])*Physics:-LeviCivita[j, m, n]*Physics:-LeviCivita[i, j, k])" width="86" height="23"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -13;" src="/view.aspx?sf=151431/468751/0f058052c4c47c77c89eb76ad73f5194.gif" alt="-Physics:-dAlembertian(A[k](X), [X])+Physics:-d_[k](Physics:-d_[n](A[n](X), [X]), [X])" width="201" height="30"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(3)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left">In the above, the repeated index n corresponds to your index i, and the dAlembertian corresonds to your <img style="vertical-align: -11;" src="/view.aspx?sf=151431/468751/8a67c6e40e2d140dd1402438d09183fc.gif" alt="d_[i]*d_[i]" width="45" height="28">. To understand how this result is formed you can selectively simplify first the product of LeviCivita tensors using the dot operator, as in</p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td>> </td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/d34eaa4ee73b292a336e25cfbbe2df8f.gif" alt="`index/Physics/LeviCivita`, "expected %1 indices for the Levi-Civita symbol in a %1-dimensional spacetime; received %2", 4, 3" width="326" height="23"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -13;" src="/view.aspx?sf=151431/468751/5fc383918bca869eee29a657b66365fb.gif" alt="Physics:-d_[i](Physics:-d_[m](A[n](X), [X]), [X])*(-Physics:-KroneckerDelta[i, m]*Physics:-KroneckerDelta[k, n]+Physics:-KroneckerDelta[i, n]*Physics:-KroneckerDelta[k, m])" width="254" height="32"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(4)</td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td>> </td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/676836555d84d1faf38e41aacd51168d.gif" alt="Simplify(Physics:-d_[i](Physics:-d_[m](A[n](X), [X]), [X])*(-Physics:-KroneckerDelta[i, m]*Physics:-KroneckerDelta[k, n]+Physics:-KroneckerDelta[i, n]*Physics:-KroneckerDelta[k, m]))" width="86" height="23"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -13;" src="/view.aspx?sf=151431/468751/0185412f21f8522a5efe684cb72ec584.gif" alt="-Physics:-dAlembertian(A[k](X), [X])+Physics:-d_[k](Physics:-d_[n](A[n](X), [X]), [X])" width="201" height="30"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(5)</td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td>> </td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/3dc0ae4ade1384bc31ce9e8a51b3f122.gif" alt="``" width="11" height="23"></p> </td> </tr> </tbody> </table> </td> </tr> </tbody> </table> </form> <p><a href="/view.aspx?sf=151431/468751/MaplePrimesLeviCivit.mw">Download MaplePrimesLeviCivit.mw</a></p>  <p>Edgardo S. Cheb-Terrab <br> Physics, Maplesoft</p> <p><br> </p> <form name="worksheet_form"> <table style="width: 576px;" align="center"> <tbody> <tr> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left">Hi</p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left">I only saw your post now .. anyway:</p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td>> </td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/546a4f62d612b8f6879bccc22a96cef5.gif" alt="restart; with(Physics)" width="149" height="23"></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><br> From the formula you posted I assume you are working in a 3D Euclidean space; set things accordingly and define a tensor A</p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td>> </td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/f2588f2ed7732def85d6b419d34d3522.gif" alt="Setup(dimension = [3, `+`], coordinates = X, spacetimeindices = lowercaselatin);" width="564" height="23"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/6259f4740eef3729c87956af345e0f17.gif" alt="`* Partial match of 'coordinates' against keyword 'coordinatesystems'`" width="423" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/8c9c92609f50e2af44eaca2871c8632c.gif" alt="`The dimension and signature of the tensor space are set to: [3, +] `" width="409" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/ee2fb9d6b94fcbee83a8cd936b20a923.gif" alt="`Default differentiation variables for d_, D_ and dAlembertian are: `*{X = (x1, x2, x3)}" width="521" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/6f0b130c3bb3cf150d49df93d1c4585d.gif" alt="`Systems of spacetime Coordinates are: `*{X = (x1, x2, x3)}" width="354" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -23;" src="/view.aspx?sf=151431/468751/f1c54cb924050a2ed63b35e8aef32503.gif" alt="[coordinatesystems = {X}, dimension = 3, signature = `+`, spacetimeindices = lowercaselatin]" width="546" height="40" align="middle"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/38c86a2007c9f6148b3cbf0c5388ad20.gif" alt="`Defined objects with tensor properties`" width="235" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=151431/468751/eaa3a219c61b5724084e4a88761da2f2.gif" alt="{A, Physics:-Dgamma[mu], Physics:-Psigma[mu], Physics:-d_[mu], Physics:-g_[mu, nu], Physics:-KroneckerDelta[mu, nu], Physics:-LeviCivita[alpha, mu, nu], Physics:-SpaceTimeVector[mu](X)}" width="221" height="35"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(1)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left">Your formula is (using the abbreviation ep_ for LeviCivita)</p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td>> </td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/0b420d1b6393191e990ed01d1df90966.gif" alt="Physics:-`*`(Physics:-`*`(d_[i](d_[m](A[n](X))), ep_[m, n, j]), ep_[i, j, k])" width="303" height="23"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -13;" src="/view.aspx?sf=151431/468751/d18222bed27b1d56d111e6b91cdb9a97.gif" alt="Physics:-d_[i](Physics:-d_[m](A[n](X), [X]), [X])*Physics:-LeviCivita[j, m, n]*Physics:-LeviCivita[i, j, k]" width="173" height="30"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(2)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left">To obtain the right-hand side you show, you can use Simplify</p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td>> </td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/c2e36a888b70e66514f62a83a4832cfb.gif" alt="Simplify(Physics:-d_[i](Physics:-d_[m](A[n](X), [X]), [X])*Physics:-LeviCivita[j, m, n]*Physics:-LeviCivita[i, j, k])" width="86" height="23"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -13;" src="/view.aspx?sf=151431/468751/0f058052c4c47c77c89eb76ad73f5194.gif" alt="-Physics:-dAlembertian(A[k](X), [X])+Physics:-d_[k](Physics:-d_[n](A[n](X), [X]), [X])" width="201" height="30"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(3)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left">In the above, the repeated index n corresponds to your index i, and the dAlembertian corresonds to your <img style="vertical-align: -11;" src="/view.aspx?sf=151431/468751/8a67c6e40e2d140dd1402438d09183fc.gif" alt="d_[i]*d_[i]" width="45" height="28">. To understand how this result is formed you can selectively simplify first the product of LeviCivita tensors using the dot operator, as in</p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td>> </td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/d34eaa4ee73b292a336e25cfbbe2df8f.gif" alt="`index/Physics/LeviCivita`, "expected %1 indices for the Levi-Civita symbol in a %1-dimensional spacetime; received %2", 4, 3" width="326" height="23"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -13;" src="/view.aspx?sf=151431/468751/5fc383918bca869eee29a657b66365fb.gif" alt="Physics:-d_[i](Physics:-d_[m](A[n](X), [X]), [X])*(-Physics:-KroneckerDelta[i, m]*Physics:-KroneckerDelta[k, n]+Physics:-KroneckerDelta[i, n]*Physics:-KroneckerDelta[k, m])" width="254" height="32"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(4)</td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td>> </td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/676836555d84d1faf38e41aacd51168d.gif" alt="Simplify(Physics:-d_[i](Physics:-d_[m](A[n](X), [X]), [X])*(-Physics:-KroneckerDelta[i, m]*Physics:-KroneckerDelta[k, n]+Physics:-KroneckerDelta[i, n]*Physics:-KroneckerDelta[k, m]))" width="86" height="23"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -13;" src="/view.aspx?sf=151431/468751/0185412f21f8522a5efe684cb72ec584.gif" alt="-Physics:-dAlembertian(A[k](X), [X])+Physics:-d_[k](Physics:-d_[n](A[n](X), [X]), [X])" width="201" height="30"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(5)</td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td>> </td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=151431/468751/3dc0ae4ade1384bc31ce9e8a51b3f122.gif" alt="``" width="11" height="23"></p> </td> </tr> </tbody> </table> </td> </tr> </tbody> </table> </form> <p><a href="/view.aspx?sf=151431/468751/MaplePrimesLeviCivit.mw">Download MaplePrimesLeviCivit.mw</a></p>  <p>Edgardo S. Cheb-Terrab <br> Physics, Maplesoft</p> 151431 Fri, 06 Sep 2013 09:11:20 Z ecterrab ecterrab great! http://www.mapleprimes.com/questions/127682-Using-LeviCivita-Or-LeviCivita?ref=Feed:MaplePrimes:Using LeviCivita or Levi_Civita:Comments#comment153056 <p>this works fine. thanks for the answer!</p> <p>this works fine. thanks for the answer!</p> 153056 Thu, 17 Oct 2013 01:11:28 Z xaratustra xaratustra