I have
x,y, dx, dy= var("x, y, dx, dy");
def iD(f): return diff(f, x)*dx + diff(f,y)*dy;
iD(x^3*y^5) returns
5*dy*x^3*y^4 + 3*dx*x^2*y^5
is there a way to have it return the differentials always at the end as in
5*x^3*y^4*dy + 3*x^2*y^5*dx
thank you
Hello;
You would better use differential forms directly
sage: x, y, z = var('x, y, z')
sage: U = CoordinatePatch((x, y, z))
sage: F = DifferentialForms(U)
sage: form0 = DifferentialForm(F, 0, x^3*y^5)
sage: form0
x^3*y^5
sage: form0.diff()
3*x^2*y^5*dx + 5*x^3*y^4*dy
The exterior product is also implemented
sage: dx = DifferentialForm(F,0,x).diff()
sage: dy = DifferentialForm(F,0,y).diff()
sage: dx*dy
dx/\dy
sage: dy*dx
-1*dx/\dy
You can access the documentation by typing
sage: DifferentialForm?
and then press enter. Alternatively, you can have a look to differential forms in the reference manual.
Asked: 2015-02-15 23:41:17 +0100
Seen: 776 times
Last updated: Feb 17 '15
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