Last Updated：2025/11/27

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(number theory) An absolute value (or norm) for a field which is defined to be equal to one for any element of the field other than the field's zero, for which it is defined to be equal to zero.

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trivial absolute value

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Source Word

trivial absolute value

Noun

(number theory) An absolute value (or norm) for a field which is defined to be equal to one for any element of the field other than the field's zero, for which it is defined to be equal to zero.

Japanese Meaning

数論において、体の非零の任意の元に対して1、零には0と定義される絶対値（またはノルム）のこと。

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Google Translation / DeepL Translation

体上の自明な絶対値は、すべての非零元に1を、零元に0を割り当てるため、付値に関する情報を一切提供しません。

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Sense（1）

(number theory) An absolute value (or norm) for a field which is defined to be equal to one for any element of the field other than the field's zero, for which it is defined to be equal to zero.