Last Updated
：2025/11/20
Laplace operator
Noun
Japanese Meaning
数学や物理学において用いられる微分作用素。ℝⁿ上で定義され、記号∆で表され、各変数に対する二階微分を足し合わせた形（∑(∂²/∂x_i²)）を持ち、波動伝播や熱伝導などの現象の解析に利用される。
（ plural ）
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(mathematics, physics) A differential operator,denoted ∆ and defined on ℝⁿ as 𝛥=∑ᵢ₌₁ⁿ(∂²)/(∂x_i²), used in the modeling of wave propagation, heat flow and many other applications.
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Laplace operator
The Laplace operator plays a central role in solving the heat equation on Euclidean domains.
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The Laplace operator plays a central role in solving the heat equation on Euclidean domains.
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