mahlerTerm — Mathlib

English

The Mahler term mahlerTerm(a,n) is the product of the scalar-valued continuous map mahler n with the constant vector a, i.e., the map x ↦ mahler n(x) · a.

Русский

Коэффициент Маhлерa maherTerm(a,n) есть произведение скалярной непрерывной карты mahler n на константный вектор a: x ↦ mahler n(x) · a.

LaTeX

$$$$ mahlerTerm(a,n) = mahler(n) \\cdot a. $$$$

Lean4

/-- A single term of a Mahler series, given by the product of the scalar-valued continuous map
`mahler n : ℤ_[p] → ℤ_[p]` with a constant vector in some normed `ℤ_[p]`-module.
-/
noncomputable def mahlerTerm : C(ℤ_[p], E) :=
  (mahler n : C(_, ℤ_[p])) • .const _ a

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