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D.15.3.17 difformMul
Procedure from library difform.lib (see difform_lib).
- Usage:
- df*dg; df,dg difform
- Return:
- the product of the differential forms as differential form
Example:
| LIB "difform.lib";
ring R = 0,(x,y,z),ds;
diffAlgebra();
==> // The differential algebra Omega_R was constructed and the differential \
forms dDx, dDy, dDz, dx, dy, dz are available.
//////////////////////////////////////////
// Multiplication of differential forms //
//////////////////////////////////////////
difform df = 13*dx*dy - 7*dy*dz - 6*dx*dy*dz;
difform dg = dx - 8x;
df*dg;
==> (-104x)*dx*dy+56x*dy*dz+(-7+48x)*dx*dy*dz
==>
/////////////////////////////////////////////////////////
// Multiplication of polynomials and differential forms //
/////////////////////////////////////////////////////////
df*(y2-x);
==> (-13x+13y2)*dx*dy+(7x-7y2)*dy*dz+(6x-6y2)*dx*dy*dz
==>
12*dg;
==> -96x+12*dx
==>
kill Omega_R,df,dg,dx,dy,dz;
| See also:
difformDiv.
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