Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]]

• Record Nr.: UNINA9910779885203321
• Autore: Ralph Claire C.
• Pubbl/distr/stampa: Cambridge : , : Cambridge University Press, , 2012
• ISBN: 1-139-88774-2; 1-139-08466-6; 1-107-08994-8; 1-107-10182-4; 1-107-09621-9; 1-107-10420-3; 1-107-09312-0
• Descrizione fisica: 1 online resource (vi, 139 pages) : digital, PDF file(s)
• Collana: London Mathematical Society lecture note series ; ; 396
• Classificazione: MAT 123f; SI 320; SK 540
• Disciplina: 515.7242
• Soggetti: Differential operators; Arithmetic functions; p-adic numbers
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
• Nota di bibliografia: Includes bibliographical references (p. 135-137) and index.
• Nota di contenuto: The p-adic numbers Qp -- Some classical analysis on Qp -- The Artin-Hasse exponential function -- The completion of the algebraic closure of Qp -- Zeta functions -- Analytic functions on Zp -- Arithmetic differential operators on Zp -- A general view of arithmetic differential operators -- Analyticity of arithmetic differential operators -- Characteristic functions of discs in Zp: p-adic coordinates -- Characteristic functions of discs in Zp: harmonic coordinates -- Some differences between (Se(B-operators over Zp and Zur p.
• Sommario/riassunto: The study of arithmetic differential operators is a novel and promising area of mathematics. This complete introduction to the subject starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of p-adic numbers leading to ; the definition of arithmetic differential operators on this field. Buium's theory of arithmetic jet spaces is then developed succinctly in order to define arithmetic operators in general. Features of the book include a comparison of the behaviour of these operators over the p-adic integers and their behaviour over the unramified completion, and a discussion of the relationship between characteristic functions of p-adic discs and arithmetic differential operators that disappears as soon as a single root of unity is adjoined to the p-adic integers. This book is essential reading for researchers and graduate students who want a first introduction to arithmetic differential operators over the p-adic integers.

Deformation and Fracture Properties of the Soft Magnetic Composite Somaloy 700 3P on Different Length Scales

• Record Nr.: UNINA9910346955903321
• Autore: Schwark Tabea Gisela
• Pubbl/distr/stampa: KIT Scientific Publishing, 2018
• ISBN: 1000080372
• Descrizione fisica: 1 online resource (XV, 141 p. p.)
• Collana: Schriftenreihe des Instituts für Angewandte Materialien, Karlsruher Institut für Technologie
• Soggetti: Technology: general issues
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Sommario/riassunto: Soft Magnetic Composites (SMCs) typically consist of large iron particles coated with a fairly thin inorganic layer. The combination of soft particles with a brittle layer causes, however, a rather poor mechanical behaviour of the SMCs. The particle boundaries of the specific SMC Somaloy 700 3P can be classified into four different types according to the complexity of their layers. Tests on both micro- and macroscale showed that the particle-boundary interface is critical in terms of failure.