PolynomialFractions

Input: PolynomialFractions(K, x)
K(x)K(x)

The set of values that can be expressed using quotients of polynomial expressions with coefficients in the field KK together with xx. If xx is formal polynomial indeterminate, this describes a field of formal rational functions.

Input: PolynomialFractions(K, (PolX, PolY, PolZ))
K(x,y,z)K(x, y, z)

The set of formal rational functions in the three indeterminates (x,y,z)\left(x, y, z\right), with coefficients in the field KK.

Input: Element(PolX/(PolX**2+1), PolynomialFractions(QQ, PolX))
xx2+1Q(x)\frac{x}{{x}^{2} + 1} \in \mathbb{Q}(x)

An element of a formal rational function field.

Input: Element(1/Pi, PolynomialFractions(QQ, Pi))
1πQ(π)\frac{1}{\pi} \in \mathbb{Q}(\pi)

An element of a transcendental number field.

Last updated: 2020-03-06 00:22:16