Last Updated
：2025/11/22
Green's theorem
Noun
uncountable
Japanese Meaning
グリーンの定理：積分計算学における定理で、基本定理を二次元平面上に拡張したものです。具体的には、ある単純連結な領域内で定義された2つのスカラー場の微分（偏微分）を含む面積積分が、その領域の境界に沿った線積分と等しくなることを示す定理です。
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(calculus) A generalization of the fundamental theorem of calculus to the two-dimensional plane, which states that given two scalar fields P and Q and a simply connected region R, the area integral of derivatives of the fields equals the line integral of the fields, or
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Green's theorem
In the plane, Green's theorem allows us to convert a difficult line integral into a simpler double integral over the enclosed region.
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In the plane, Green's theorem allows us to convert a difficult line integral into a simpler double integral over the enclosed region.
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