Last Updated
：2025/12/08
Reynolds operator
Noun
Japanese Meaning
群作用によって対象の値を平均化することで定義される数学的作用素。レイノルズ則と呼ばれる一連の性質を満たし、流体力学や不変量理論などに応用される。
（ plural ）
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(mathematics) A mathematical operator given by averaging something over a group action, satisfying a set of properties called Reynolds rules, and having applications in fluid dynamics and invariant theory.
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Reynolds operator
By averaging flow fields over the symmetry group, the Reynolds operator produces invariant quantities that satisfy the Reynolds rules and are widely used in fluid dynamics and invariant theory.
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By averaging flow fields over the symmetry group, the Reynolds operator produces invariant quantities that satisfy the Reynolds rules and are widely used in fluid dynamics and invariant theory.
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