Last Updated
：2025/12/03
paracontrolled distribution
Noun
Japanese Meaning
数学における「paracontrolled distribution」とは、ある関数 u ∈ C^α によって制御される分布 d ∈ C^α のことを指す。具体的には、ある別の関数 d' ∈ C^β が存在し、d と d' の差が u を用いて（すなわち、d − d' ≺ u としての関係が成立し）C^(α+β) の空間に属するという条件を満たす場合に、その分布 d を paracontrolled distribution と呼ぶ。
（ plural ）
Quizzes for review
(mathematics) A distribution d ∈ Cα is called paracontrolled by u ∈ Cα if there exists d′ ∈ Cᵝ such that d − d′ ≺ u ∈ Cα+β.
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To compute the solution, we first identify the paracontrolled distribution associated with d ∈ Cα and u ∈ Cα, ensuring there exists d′ ∈ Cβ such that d − d′ ≺ u ∈ Cα+β.
See correct answer
To compute the solution, we first identify the paracontrolled distribution associated with d ∈ Cα and u ∈ Cα, ensuring there exists d′ ∈ Cβ such that d − d′ ≺ u ∈ Cα+β.
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