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In mathematics, a discrete valuation is an integer valuation on a field K; that is, a function: satisfying the conditions: for all . Note that often the trivial valuation which takes on only the values is explicitly excluded. A field with a non-trivial discrete valuation is called a discrete valuation field.

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  • Diskrete Bewertung (de)
  • Discrete valuation (en)
  • 離散付値 (ja)
  • Waluacja dyskretna (pl)
  • Diskret värdering (sv)
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  • In mathematics, a discrete valuation is an integer valuation on a field K; that is, a function: satisfying the conditions: for all . Note that often the trivial valuation which takes on only the values is explicitly excluded. A field with a non-trivial discrete valuation is called a discrete valuation field. (en)
  • 数学において、離散付値（discrete valuation）は体 k 上の整数付値である。つまり、関数 であって、以下の条件を満たす。 の値しかとらない自明な付値はしばしば明示的に除外されることに注意する。 非自明な離散付値をもった体を離散付値体（discrete valuation field）と言う。 (ja)
  • Waluacja dyskretna – funkcja gdzie – pierścień przemienny, spełniająca warunki: (pl)
  • Inom matematiken är en diskret värdering en heltals på en kropp K, d.v.s. en funktion som satisfierar kraven för alla . Notera att den triviala värderingen som bara tar värdena är explicit utlämnad. En kropp med en icke-trivial diskret värdering säges vara en diskret värderingskropp. (sv)
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  • In mathematics, a discrete valuation is an integer valuation on a field K; that is, a function: satisfying the conditions: for all . Note that often the trivial valuation which takes on only the values is explicitly excluded. A field with a non-trivial discrete valuation is called a discrete valuation field. (en)
  • 数学において、離散付値（discrete valuation）は体 k 上の整数付値である。つまり、関数 であって、以下の条件を満たす。 の値しかとらない自明な付値はしばしば明示的に除外されることに注意する。 非自明な離散付値をもった体を離散付値体（discrete valuation field）と言う。 (ja)
  • Waluacja dyskretna – funkcja gdzie – pierścień przemienny, spełniająca warunki: (pl)
  • Inom matematiken är en diskret värdering en heltals på en kropp K, d.v.s. en funktion som satisfierar kraven för alla . Notera att den triviala värderingen som bara tar värdena är explicit utlämnad. En kropp med en icke-trivial diskret värdering säges vara en diskret värderingskropp. (sv)
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