Last Updated
：2025/12/05
Dirichlet energy
Noun
Japanese Meaning
ディリクレエネルギーとは、数学的解析や関数解析、フーリエ解析などの分野で、開集合上に定義された実数値関数に対して、その関数の変動・ばらつきを定量的に評価する2次の汎関数を指す。 / すなわち、入力された関数の傾き（あるいは勾配）の大きさの二乗の積分により、関数の「なめらかさ」や「変動度合い」を測るための実数値が得られるという概念である。
（ plural ）
Quizzes for review
(mathematical analysis, functional analysis, Fourier analysis) A quadratic functional which, given a real function defined on an open subset of ℝⁿ, yields a real number that is a measure of how variable said function is.
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Dirichlet energy
To minimize the Dirichlet energy of the map, we imposed boundary conditions that fixed its values on the domain's perimeter.
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To minimize the Dirichlet energy of the map, we imposed boundary conditions that fixed its values on the domain's perimeter.
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