Theorems · Theorem · dynamical systems

Polynomial.newtonMap_apply_of_isUnit

∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {P : Polynomial R}
  {x : S} (h : IsUnit ((Polynomial.aeval x) (Polynomial.derivative P))),
  P.newtonMap x = x - ↑h.unit⁻¹ * (Polynomial.aeval x) P

Defined in

Mathlib.Dynamics.Newton

Cited by

0 results in Mathlib

Foundations

Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra