AngouriMath
WithRationalFactorsSplitBesideASymbolicOne(AngouriMath.Entity,AngouriMath.Entity.Variable)
Method (no overloads)
Summary
and splits over the rationals written in its factors, where another written factor
has a symbol in a coefficient;
beside a symbolic one.
Remarks
The split over symbolic linear factors reads the linears it finds written, and the
refactoring over the rationals reads a denominator only when all of it is rational.
The half-angle tangent writes `sec(x)^4/(a + b sin(x))^2` as
`2 (1 + t^2)^5/((1 - t^2)^4 (a t^2 + 2 b t + a)^2)`, where `1 - t^2` is a quadratic to
the one and the symbols beside it close the other, and the Hermite reduction took it:
for `1/((1 - t^2)^3 (a t^2 + 2 b t + a)^2)` its one solve answered with coefficients over
a polynomial of degree 48 in `a` and `b`, 514,694 characters to the first term, and did
not return in 20 s. Written in its linears it is under a second.
refactoring over the rationals reads a denominator only when all of it is rational.
The half-angle tangent writes `sec(x)^4/(a + b sin(x))^2` as
`2 (1 + t^2)^5/((1 - t^2)^4 (a t^2 + 2 b t + a)^2)`, where `1 - t^2` is a quadratic to
the one and the symbols beside it close the other, and the Hermite reduction took it:
for `1/((1 - t^2)^3 (a t^2 + 2 b t + a)^2)` its one solve answered with coefficients over
a polynomial of degree 48 in `a` and `b`, 514,694 characters to the first term, and did
not return in 20 s. Written in its linears it is under a second.
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