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The fundamental theorem of a field of mathematics is the theorem considered central to that field. The naming of such a theorem is not necessarily based on how often it is used or the difficulty of its proofs. For example, the fundamental theorem of calculus gives the relationship between differential calculus and integral calculus, which are two distinct branches that are not obviously related. The names are mostly traditional, so that for example the ''fundamental theorem of arithmetic'' is basic to what would now be called number theory. The mathematical literature sometimes refers to the fundamental lemma of a field. The term lemma is conventionally used to denote a proven proposition which is used as a stepping stone to a larger result rather than as a useful statement in-and-of itself. The fundamental lemma of a field is often, but not always, the same as the fundamental theorem of that field. ==Fundamental lemmata== * Fundamental lemma of calculus of variations * Fundamental lemma of Langlands and Shelstad * Fundamental lemma of sieve theory * Feinstein's fundamental lemma (information theory) * Fundamental lemma of interpolation theory (numerical analysis) 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「fundamental theorem」の詳細全文を読む スポンサード リンク
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