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Web: mathworld.wolfram.com US web_search 2026-05-06 14:02

同型性 - Wolfram MathWorldから

原題: Isomorphism -- from Wolfram MathWorld

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分析結果

カテゴリ
経済
重要度
45
トレンドスコア
9
要約
同型性は、数学のいくつかの分野に現れる非常に一般的な概念です。この言葉は、ギリシャ語の「iso」(等しい)と「morphosis」(形作る)に由来しています。同型性は、異なる構造が本質的に同じ性質を持つことを示すために使用されます。
キーワード
Isomorphism -- from Wolfram MathWorld Isomorphism Isomorphism is a very general concept that appears in several areas of mathematics. The word derives from the Greek iso , meaning "equal," and morphosis , meaning "to form" or "to shape." Formally, an isomorphism is bijective morphism . Informally, an isomorphism is a map that preserves sets and relations among elements. " is isomorphic to " is written . Unfortunately, this symbol is also used to denote geometric congruence . An isomorphism from a set of elements onto itself is called an automorphism . See also Automorphism , Ax-Kochen Isomorphism Theorem , Graph Isomorphism , Homeomorphism , Isomorphic Graphs , Isomorphic Groups , Morphism Explore this topic in the MathWorld classroom Explore with Wolfram|Alpha More things to try: graph isomorphism problem z-score graph isomorphism problem status Cite this as: Weisstein, Eric W. "Isomorphism." From MathWorld --A Wolfram Resource. https://mathworld.wolfram.com/Isomorphism.html Subject classifications Created, developed and nurtured by Eric Weisstein at Wolfram Research

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