[Maxima] antisymmetric tensor

Barton Willis willisb at unk.edu
Wed Sep 16 16:27:06 CDT 2009


Maybe tellsimpafter will work:

 (%i1) declare (eps3, antisymmetric)$

 (%i2) tellsimpafter(eps3[1,2,3],1)$

 (%i3) [eps3[1,2,3], eps3[2,1,3]];
 (%o3) [1,-1]

Barton

-----maxima-bounces at math.utexas.edu wrote: -----


>If I define the completely antisymmetric unit tensor in 3d
>via
>
>(%i1) display2d:false$
>(%i2) declare (eps3, antisymmetric)$
>(%i3) eps3[1,2,3] : 1$
>
>then I get
>
>(%i4) eps3[1,2,3];
>(%o4) 1
>(%i5) eps3[3,1,2];
>(%o5) eps3[1,2,3]
>(%i6) ev (%);
>(%o6) 1
>(%i7) a*eps3[1,2,3] + b*eps3[3,1,2] + c*eps3[2,3,1];
>(%o7) eps3[1,2,3]*c+eps3[1,2,3]*b+a
>(%i8) ev(%);
>(%o8) c+b+a
>
>What can I add to my definition lines which will avoid having to
>always use  "  ev (stuff)  " to get the numerical values ?
>
>Thanks in advance
>
>Ted Woollett
>
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