weightedVSub — Mathlib

English

A weighted sum equals the same when using the indicator function of the subset on the weights.

Русский

Взвешенная сумма равна той же, если веса заменены индикаторной функцией подмножества.

LaTeX

$$$ (s.weightedVSubOfPoint p b w) = ({x \\in s} \\text{ indicador } w).weightedVSubOfPoint p b w $$$

Lean4

/-- A weighted sum of the results of subtracting a default base point
from the given points, as a linear map on the weights.  This is
intended to be used when the sum of the weights is 0; that condition
is specified as a hypothesis on those lemmas that require it. -/
def weightedVSub (p : ι → P) : (ι → k) →ₗ[k] V :=
  s.weightedVSubOfPoint p (Classical.choice S.nonempty)

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