Riemann surface - Riemann surface

Japanese: リーマン面 - リーマンめん(英語表記)Rieman surface
Riemann surface - Riemann surface
Since multi-valued functions do not fit within the framework of ordinary functions, if we think of the domain as overlapping with other layers, and think of each leaf as a function that takes on a different value, we can think of ordinary single-valued functions. This method was introduced by G. Riemann in the mid-19th century, so it is called a Riemann surface.

Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information

Japanese:
多価関数は普通の関数の枠に入らないので,定義域のほうを何重にも重なったものと考えて,各葉ごとにそれぞれの値をとる関数と考えると,普通の一価関数を考えることができる。 19世紀なかばに G.リーマンによってこの手法が導入されたのでリーマン面という。

出典 ブリタニカ国際大百科事典 小項目事典ブリタニカ国際大百科事典 小項目事典について 情報

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