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標(biāo)題: Titlebook: p-adic Numbers; An Introduction Fernando Q. Gouvêa Textbook 19972nd edition Springer-Verlag Berlin Heidelberg 1997 Algebra.absolute values [打印本頁(yè)]

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作者: IOTA    時(shí)間: 2025-3-22 04:20
Introduction,rners of mathematics. The goal of this book is to offer such an opportunity, by way of a visit to the .-adic universe. Such a visit offers a glimpse of a part of mathematics which is both important and fun, and which also is something of a meeting point between algebra and analysis.
作者: Acupressure    時(shí)間: 2025-3-22 05:40
,-adic Numbers,ery hard. Nevertheless, we have preferred to stick, at first, to the most concrete example available. In a later chapter, we will consider some aspects of the problem of extending valuations from ? to larger fields. More details about the theory of valuations on global fields can be found in several of the references.
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Vector Spaces and Field Extensions,lds (for example, when we dealt with the zeros of a function defined by a power series). In fact, just as we have emphasized the natural analogy between the .-adic fields ?. and the field ? of real numbers, it is a very natural thing to do to look for an extension of ?. that is analogous to the comp
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0172-5939 methods borrowed from calculus and analysis for studying such problems. More recently, p-adic num- bers have shown up in other areas of mathematics, and even in physics.978-3-642-59058-0Series ISSN 0172-5939 Series E-ISSN 2191-6675
作者: indigenous    時(shí)間: 2025-3-24 09:29
Textbook 19972nd editionfford a natural and powerful language for talking about congruences between integers, and allow the use of methods borrowed from calculus and analysis for studying such problems. More recently, p-adic num- bers have shown up in other areas of mathematics, and even in physics.
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作者: Unsaturated-Fat    時(shí)間: 2025-3-25 00:32
Foundations,ce a different absolute value function on the field of rational numbers. This will give us a different way to measure distances, hence a different calculus. Once we have that, we will use it (in Chapter 3) to construct the .-adic numbers.
作者: acrobat    時(shí)間: 2025-3-25 06:31
,Elementary Analysis in ?p, it is complete with respect to the metric given by that absolute value. In fact, the similarities go deeper: ? and the various ?. are completions of ? hence contain ? as a dense subset; they are all locally compact; none of them are algebraically closed.
作者: Nuance    時(shí)間: 2025-3-25 08:10
https://doi.org/10.1007/978-3-642-59058-0Algebra; absolute values on fields; calculus; finite field; number theory; p-adic analysis; p-adic numbers
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Conclusion, utilization and its implications for grand strategic objectives. It revisits the central themes and paradoxes surrounding the incorporation of drones into US grand strategy. Future US grand strategy, as illuminated in this chapter, should grapple with these challenges by establishing clear rules of
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P. J. Barnes,K. F. Chung,C. P. Page critical: critical, that is, of the status quo in any national or sub-national community in which a majority of voters, over a substantial time period, have endorsed a status quo that, to the critical theorist, seems badly in need of reform or reconstruction.
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A Multicenter Study on the Use of Transdermal Clonidine in Patients with Essential Hypertension,ve skin device containing clonidine (Catapres-TTS). The results indicate that treatment with a transdermal delivery system for clonidine is effective and well tolerated in patients with mild hypertension.
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gnal electric and electronic systems. This tool-independent method allows inclusion of existing simulation models with only minimal adaptations. Additionally, no modifications of the standardized libraries are necessary with the outlined approach. The resulting FMUs allow convenient exchange and fas
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Conference proceedings 2017 in random graphs.Power transmission grid structure.Network decomposition problems.Homogeneity hypothesis testing.Network analysis of international migration.Social networks with node attributes.Testing hypothesis on degree distribution in the market graphs.Machine learning applications to human bra




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