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    the p-adic valuation or p-adic order of an integer n is the exponent of the highest power of the prime number p that divides n. It is denoted ν p ( n...
    8 KB (1,366 words) - 21:32, 26 October 2024
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    Non-Archimedean p-adic quantum mechanics p-adic Hodge theory p-adic Teichmuller theory p-adic analysis p-adic valuation 1 + 2 + 4 + 8 + ... k-adic notation C-minimal...
    43 KB (7,563 words) - 06:32, 26 October 2024
  • R), then the π-adic valuation and the π'-adic valuation are equal. Thus, the π-adic valuation can be called the P-adic valuation, where P = (π). The previous...
    18 KB (2,370 words) - 15:25, 5 February 2024
  • Valuation: Measuring and Managing the Value of Companies Valuation (algebra), a measure of multiplicity p-adic valuation, a special case Valuation (geometry)...
    1 KB (179 words) - 10:25, 16 July 2024
  • highest power of a prime number p that divides a given binomial coefficient. In other words, it gives the p-adic valuation of a binomial coefficient. The...
    4 KB (586 words) - 08:07, 9 August 2024
  • numbers and v {\displaystyle v} be its usual p {\displaystyle p} -adic valuation (with v ( p ) = 1 {\displaystyle v(p)=1} ). If F {\displaystyle F} is a (not...
    7 KB (1,142 words) - 16:45, 29 December 2022
  • (LTE lemma) provides several formulas for computing the p-adic valuation ν p {\displaystyle \nu _{p}} of special forms of integers. The lemma is named as...
    8 KB (2,059 words) - 18:20, 3 November 2024
  • element; the valuation assigns to each p {\displaystyle p} -adic integer x {\displaystyle x} the largest integer k {\displaystyle k} such that p k {\displaystyle...
    11 KB (1,526 words) - 15:33, 6 November 2024
  • discrete valuation on Q {\displaystyle \mathbb {Q} } , called the p-adic valuation. Given a Riemann surface X {\displaystyle X} , we can consider the...
    3 KB (557 words) - 21:33, 19 September 2023
  • equivalence classes of valuations w {\displaystyle w} on K {\displaystyle K} (such as the p {\displaystyle p} -adic valuation) and v {\displaystyle v}...
    18 KB (3,190 words) - 20:36, 19 July 2024