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How to pronounce “p-adic norm”
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Pronunciation guide for p-adic norm
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- Practice the English pronunciation of p-adic norm with real speech in context.
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- Definition summary
- (number theory) A p-adic absolute value, for a given prime number p, the function, denoted |..|p and defined on the rational numbers, such that |0|p = 0 and, for x≠0, |x|p = p-ordp(x), where ordp(x) is the p-adic ordinal of x;[1] the same function, extended to the p-adic numbers ℚp (the completion of the rational numbers with respect to the p-adic ultrametric defined by said absolute value); the same function, further extended to some extension of ℚp (for example, its algebraic closure).
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A Deep Dive Into “p-adic norm”
Meaning
- [Noun]
- (number theory) A p-adic absolute value, for a given prime number p, the function, denoted |..|p and defined on the rational numbers, such that |0|p = 0 and, for x≠0, |x|p = p-ordp(x), where ordp(x) is the p-adic ordinal of x;[1] the same function, extended to the p-adic numbers ℚp (the completion of the rational numbers with respect to the p-adic ultrametric defined by said absolute value); the same function, further extended to some extension of ℚp (for example, its algebraic closure).
- (algebra) A norm on a vector space which is defined over a field equipped with a discrete valuation (a generalisation of p-adic absolute value).
Practice Nearby Words
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