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Continuous Positive Airway Pressure --- Patient Compliance --- Specialties, Nursing

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"This book will depict rare insights into actual failed-to-perform software systems, followed by comprehensive root-cause analyses identifying the reasons for their unsuccessful execution in production. Remedies will be provided that offer strategies to tackle the chief issues. Last, architecture and design best practices will conclude the discussion. The book will assist users to: Mitigate risks of software development projects Increase return on investments (ROI) Provide effective tools to assess technological achievability and viability Introduce software design best practices for enterprise architecture efforts Identify actual software construction value proposition Foster software assets reuse and consolidation Accelerate time-to-market "--

Software failures. --- Evolutionary programming (Computer science) --- Continuous improvement process. --- Software architecture.

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With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups. Contents:IntroductionLie Algebras and GroupsReal Semisimple Lie AlgebrasInvariant Differential OperatorsCase of the Anti-de Sitter GroupConformal Case in 4DKazhdan-Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant EquationsInvariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie AlgebrasMultilinear Invariant Differential Operators from New Generalized Verma ModulesBibliographyAuthor IndexSubject Index

Lie algebras. --- Lie groups. --- Differential invariants. --- Invariants, Differential --- Continuous groups --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Algebras, Lie --- Algebra, Abstract --- Algebras, Linear --- Lie groups

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The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to which an algebra or a vector lattice can be represented as a C(X). Various applications of these theorems are given. Some attention is devoted to related theorems, e.g. the Stone Theorem for Boolean algebras and the Riesz Representation Theorem. The book is functional analytic in character. It does not presuppose much knowledge of functional analysis; it contains introductions into subjects such as the weak topology, vector lattices and (some) integration theory.

Mathematics. --- Functional analysis. --- Measure theory. --- Functional Analysis. --- Measure and Integration. --- Functions, Continuous. --- Continuous functions --- Math --- Science --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Integrals, Generalized --- Measure algebras --- Rings (Algebra)

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Exploring the interplay between deep theory and intricate computation, this volume is a compilation of research and survey papers in number theory, written by members of the Women In Numbers (WIN) network, principally by the collaborative research groups formed at Women In Numbers 3, a conference at the Banff International Research Station in Banff, Alberta, on April 21-25, 2014. The papers span a wide range of research areas: arithmetic geometry; analytic number theory; algebraic number theory; and applications to coding and cryptography. The WIN conference series began in 2008, with the aim of strengthening the research careers of female number theorists. The series introduced a novel research-mentorship model: women at all career stages, from graduate students to senior members of the community, joined forces to work in focused research groups on cutting-edge projects designed and led by experienced researchers. The goals for Women In Numbers 3 were to establish ambitious new collaborations between women in number theory, to train junior participants about topics of current importance, and to continue to build a vibrant community of women in number theory. Forty-two women attended the WIN3 workshop, including 15 senior and mid-level faculty, 15 junior faculty and postdocs, and 12 graduate students.

Mathematics. --- Topological groups. --- Lie groups. --- Geometry. --- Number theory. --- Number Theory. --- Topological Groups, Lie Groups. --- Number theory --- Topological Groups. --- Mathematics --- Euclid's Elements --- Groups, Topological --- Continuous groups --- Number study --- Numbers, Theory of --- Algebra --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups