effrontery
发表于 2025-3-23 11:17:40
,Die Zulässigkeit der Ärzte-GmbH, . 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.
入会
发表于 2025-3-23 14:01:43
https://doi.org/10.1007/b138607ic 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
要控制
发表于 2025-3-23 21:19:53
,Die Zulässigkeit der Ärzte-GmbH,n the topic) to the present. In the present chapter, 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 theorem is discussed. It is proved that certain Steinhaus-type theorems fail to ho
热烈的欢迎
发表于 2025-3-24 01:20:17
https://doi.org/10.1007/b138607In 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.
CAPE
发表于 2025-3-24 03:56:15
,Die Zulässigkeit der Ärzte-GmbH,In this chapter, we introduce the Nörlund and the Weighted Mean methods in the ultrametric set-up and their properties are elaborately discussed. We also show that the Mazur–Orlicz theorem and Brudno’s theorem fail to hold in the ultrametric case.
业余爱好者
发表于 2025-3-24 10:08:37
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Inoperable
发表于 2025-3-24 12:15:48
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详细目录
发表于 2025-3-24 15:19:24
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胆小懦夫
发表于 2025-3-24 22:44:27
https://doi.org/10.1007/978-3-642-68700-6In the current chapter, we introduce the Nörlund method and the Weighted Mean method for double sequences and establish many of their properties.
名义上
发表于 2025-3-25 02:11:22
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.