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D.15.2.33 derivationConstructor
Procedure from library difform.lib (see difform_lib).
- Usage:
- derivation phi = inp; inp of any type
- Return:
- the derivation defined by inp:
- Remarks:
- the output depens on the type of inp:
- if inp is of type list, the constructor derivationFromList is used
- if inp is of type poly, number, int or bigint, derivationFromPoly is used
- Note:
- for other than the mentioned types, there is no output
Example:
| | LIB "difform.lib";
ring R = 31,(x,y,z),dp;
diffAlgebra();
==> // The differential algebra Omega_R was constructed and the differential \
forms dDx, dDy, dDz, dx, dy, dz are available.
////////////////////////////////////////////////////////////
// Construction of derivations from lists and polynomials //
////////////////////////////////////////////////////////////
list L; L[1] = list(dx,dz,dy); L[2] = list(x2,y-x,z);
derivation phi = L; phi;
==> Omega_R^1 --> R
==> dx |--> x2
==> dy |--> z
==> dz |--> -x+y
==>
==>
derivation psi = 3x2-12z; psi;
==> Omega_R^1 --> R
==> dx |--> 3x2-12z
==> dy |--> 3x2-12z
==> dz |--> 3x2-12z
==>
==>
kill Omega_R,dx,dy,dz,phi,psi;
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See also:
derivationFromList;
derivationFromPoly.
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