AngouriMath

Navigation

← Back to list of members

OverSymbolicFactorsWrittenApart​(AngouriMath.​Entity,​AngouriMath.​Entity,​AngouriMath.​Entity.​Variable)

 Method (no overloads)

Summary

numerator over denominator, the denominator's
written factors taken apart over their greatest common divisors -- with one another,
and each with its own derivative in x -- until they are coprime and
squarefree as written, and what the numerator shares with them cancelled;
null where no factor holds a symbol, they are coprime and squarefree
already, or one is not a polynomial.

Remarks

The divisors are taken over the rationals in every variable, so a factor of the symbols
alone can come with one: that goes in front, as a constant, and each factor kept is
primitive in x. `c d^2 + 2 c d e x + c e^2 x^2` shares `c (d + e x)`
with its derivative, and is `c (d + e x)^2`.

























Angouri © 2019-2023 · Project's repo · Site's repo · Octicons · Transparency · 4378 pages online