Last Updated :2025/12/06

Gowers norm

Noun
Japanese Meaning
数学、特に加法組み合わせ論の分野において、有限群や類似の群上の関数に対し、その構造やランダム性の程度を定量化するために用いられるノルム(規範)の一種を指す。
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集合内の等差数列を検出するために、解析者は基底となる構造を測るためにその指示関数のゴワーズ一様性ノルムをしばしば評価する。

plural

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(mathematics) In the field of additive combinatorics, a class of norms on functions on a finite group or group-like object which quantify the amount of structure or randomness present.

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Gowers norm

To detect arithmetic progressions in a set, analysts often estimate the Gowers norm of its indicator function to measure underlying structure.

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To detect arithmetic progressions in a set, analysts often estimate the Gowers norm of its indicator function to measure underlying structure.

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