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Topics in detail to be covered are: Smarandache multi-spaces with applications to other sciences, such as those of algebraic multi-systems, multi-metric spaces; Smarandache geometries; Differential Geometry; Geometry on manifolds; Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph and map enumeration; Combinatorial designs; Combinatorial enumeration; Low Dimensional Topology; Differential Topology; Topology of Manifolds; Geometrical aspects of Mathematical Physics and Relations with Manifold Topology; Applications of Smarandache multi-spaces to theoretical physics; Applications of Combinatorics to mathematics and theoretical physics; Mathematical theory on gravitational fields; Mathematical theory on parallel universes; Other applications of Smarandache multi-space and combinatorics.
In this book, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebras, and circular filters which characterize absolute values on polynomials and make a nice tree structure. The Shilov boundary does exist for normed ultrametric algebras.In uniform Banach algebras, the spectral norm is equal to the supremum of all continuous multiplicative seminorms whose kernel is a maximal ideal. Two different such seminorms can have the same kernel. Krasner-Tate algebras are characterized among Krasner algebras, affinoid algebras, and ultrametric Banach algebras. Given a Krasner-Tate algbebra A=K{t}[x], the absolute values extending the Gauss norm from K{t} to A are defined by the elements of the Shilov boundary of A.
Clear, accessible treatment of mathematical models for resolving conflicts in politics, economics, war, business, and social relationships. Topics include strategy, game tree and game matrix, and much more. Minimal math background required. 1970 edition.
This volume collects together lectures presented at the Sixth International Conference held at the University of Ioannina, Greece, on p-adic functional analysis with applications in the fields of physics, differential equations, number theory, probability theory, dynamical systems, and algebraic number fields. It discusses the commutation relation AB-BA=I and its central role in quantum mechanics.
Describes a superior model to guide empirical practice improvement projects This unique text provides the academic and clinical healthcare communities with a tested, practical, and successful model (EBPI+) to steer evidence-based practice improvement projects. The model--tested in multiple clinical settings--is distinguished from similar prototypes by its integration of the best EBP and quality/performance improvement principles (QI), resulting in a highly practical and comprehensible model for guiding students' and clinicians' work to improve quality outcomes in healthcare. The book emphasizes the need for collaboration among all stakeholders, particularly those in different disciplines with different perspectives, to provide greater clarity and enhance improvement work in a clinical agency. It features a blueprint for guiding healthcare improvements based on evidence that incorporates potential changes of direction midstream. The book also introduces tools for the evaluation of organizational commitment, stakeholder choice, and sustainability of improvement projects. Section One of the text focuses on the background and development of the original EBPI model, followed by, in Section Two, an elaboration of the components of the new enhanced model, EBPI+. Chapter authors in Section Three describe how they used the components of the EBPI model, discussing lessons learned from its use. This section, connecting the theoretical basis for this work with real-world applications, includes a template that readers can use to facilitate their own projects. The final section investigates future approaches to improvement work. Comprehensive appendices provide useful tools for students and clinicians to use in developing, implementing, and evaluating any EBPI+ projects. Key Features: Describes a practical and successful model incorporating the best of EBP and QI approaches (EPBI+) for improving quality outcomes in healthcare Incorporates a strong focus on how to determine and engage project stakeholders and provides tools for effective decision making Delineates specific methods to develop protocols for a small test of change prior to larger pilot studies Delivers approaches/strategies for monitoring and evaluating sustainability Discusses how to assess organizational commitment and conduct stakeholder analyses Creates examples that use each component of EBPI+ as a template for readers Emphasizes the "how to" of implementation more than other competitive models
This volume contains research articles based on lectures given at the Seventh International Conference on $p$-adic Functional Analysis. The articles, written by leading international experts, provide a complete overview of the latest contributions in basic functional analysis (Hilbert and Banach spaces, locally convex spaces, orthogonality, inductive limits, spaces of continuous functions, strict topologies, operator theory, automatic continuity, measure and integrations, Banach and topological algebras, summability methods, and ultrametric spaces), analytic functions (meromorphic functions, roots of rational functions, characterization of injective holomorphic functions, and Gelfand transforms in algebras of analytic functions), differential equations, Banach-Hopf algebras, Cauchy theory of Levi-Civita fields, finite differences, weighted means, $p$-adic dynamical systems, and non-Archimedean probability theory and stochastic processes. The book is written for graduate students and research mathematicians. It also would make a good reference source for those in related areas, such as classical functional analysis, complex analytic functions, probability theory, dynamical systems, orthomodular spaces, number theory, and representations of $p$-adic groups.