打包
发表于 2025-3-23 10:56:41
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troponins
发表于 2025-3-23 16:24:39
Introduction and Preliminaries, . being prime, and prove that any valuation of . (the field of rational numbers) is either the trivial valuation, a .-adic valuation or a power of the usual absolute value, where the power is positive and less than or equal to 1. We discuss equivalent valuations too.
费解
发表于 2025-3-23 20:26:53
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残暴
发表于 2025-3-23 22:11:26
https://doi.org/10.1007/978-3-531-90954-7 . being prime, and prove that any valuation of . (the field of rational numbers) is either the trivial valuation, a .-adic valuation or a power of the usual absolute value, where the power is positive and less than or equal to 1. We discuss equivalent valuations too.
Obverse
发表于 2025-3-24 02:20:13
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教义
发表于 2025-3-24 08:40:07
Some Arithmetic and Analysis in ,: Derivatives in Ultrametric Analysis,In this chapter, we discuss some arithmetic and analysis in the .-adic field. We also introduce the concepts of differentiability and derivatives in ultrametric analysis and briefly indicate how ultrametric calculus is different from our usual calculus.
Corporeal
发表于 2025-3-24 11:10:59
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hypotension
发表于 2025-3-24 18:14:20
https://doi.org/10.1007/978-3-531-90954-7ic set up too. However, the Hahn-Banach theorem fails to hold. To salvage the Hahn-Banach theorem, the concept of a “spherically complete field” is introduced and Ingleton’s version of the Hahn-Banach theorem is proved. The classical “convexity” does not work in the ultrametric set up and it is repl
Eulogy
发表于 2025-3-24 20:00:41
https://doi.org/10.1007/978-3-531-90954-7est known paper on the topic) to the present. Most of the material discussed in the survey have not appeared in book form earlier. Silverman-Toeplitz theorem is proved using the “sliding-hump method”. Schur’s theorem and Steinhaus theorem also find a mention. Core of a sequence and Knopp’s core theo
高兴去去
发表于 2025-3-25 01:43:41
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