Titlebook: Relative Complexities of First Order Calculi; Elmar Eder Book 1992 Springer Fachmedien Wiesbaden 1992 Analysis.Beweis.Beweisen.Extension.F

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that it coincides with the Hausdorff completion provided that it is applied to separated uniform spaces. By the way, the theory of regular semiuniform convergence spaces, including uniform spaces and regular topological spaces (the latter were introduced by L. Vietoris [145]), is developed, where a

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Elmar Eder according to C. Carathéodory [25], it is often useful to substitute uniform convergence on compacta by continuous convergence. By the way, if we consider locally compact Hausdorff spaces, then the topology describing continuous convergence is the compact-open topology, introduced and studied first

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Elmar Ederd part presents advanced topics necessary to create future trusted autonomous systems.. .The book augments theory with real-world applications including cyber .security, defence and space..978-3-319-87879-9978-3-319-64816-3Series ISSN 2198-4182 Series E-ISSN 2198-4190

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ncludes the article by calling ~or joint efforts to provide decision makers with warkable theories. Kenneth Arrow takes up the same issue on a broad basis in his paper where he discusses the implications o~ behavior under uncertainty for policy. In the theoretical papers the reader will ~ind attempts at de~in978-90-481-8364-7978-94-017-1590-4

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generalized by F. Hausdorff [58] to metric spaces and later on by A. Weil [147] to (separated) uniform spaces. In this chapter the so-called Hausdorff completion of uniform spaces is introduced at first by means of categorical methods in order to emphasize its universal character. The next step is a

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Elmar Eder Also continuous convergence introduced by H. Hahn [56] is considered in this context. Since pointwise convergence can be described by means of the product topology, which was first observed by A. Tychonoff [143], uniform spaces are needed for uniform convergence (the uniformity of uniform convergen

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Elmar Ederctive to inform the design and adoption of autonomous systems. Trustworthiness is a property of trusted agents or organisations that engenders trust in other agent or organisations. Trust is a complex phenomena defined differently depending on the discipline. This chapter aims to bring different app