hahnCoeff — Mathlib

English

For a given seed, baseDomain element x and a function f over the strata, the value of the hahnCoeff at x and c equals the coefficients seed.coeff c applied to f c.

Русский

Для заданного seed, x из baseDomain и функции f по слоям, значение hahnCoeff при x и c равно коэффициентам seed.coeff c применённым к f c.

LaTeX

$$$ seed.hahnCoeff x c = seed.coeff c (f c) $$$

Lean4

/-- Coefficients of Hahn series for each `baseDomain` element. -/
noncomputable def hahnCoeff : seed.baseDomain →ₗ[K] (⨁ _ : ArchimedeanClass M, R) :=
  (DirectSum.lmap seed.coeff') ∘ₗ (DirectSum.decomposeLinearEquiv _).toLinearMap

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