Theorems · Definition · complex analysis
Polynomial.derivRootWeight
Polynomial ℂ → ℂ → ℂ → ℝ
Given a polynomial P of positive degree and a root z of its derivative,
derivRootWeight P z w gives the weight of a root w of P in a convex combination
that is equal to z.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Polynomialstatement and proof · cited by 5,681
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- Polynomial.evalproof · cited by 796
- Pi.singleproof · cited by 518
- Polynomial.rootMultiplicityproof · cited by 79
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.sum_derivRootWeight_posstatement · cited by 2
- Polynomial.eq_centerMass_of_eval_derivative_eq_zerostatement and proof · cited by 1
- Polynomial.derivRootWeight_nonnegstatement · cited by 0