Download or read book Homeostatic Blood States Theory written by Audrius Andrijauskas and published by Universal-Publishers. This book was released on 2008-01-31 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intravenous fluid and blood component resuscitation is an integral part of modern medicine practice in a variety of medical fields. However, these therapies are usually led by rigid and very approximate guidelines. The purpose of creating the Homeostatic blood states theory was to develop more accurate guidelines. On the basis of the new theory the following results have been reached: 1. The physiological-mathematical model explaining blood volume homeostasis has been created; 2. Nomograms for infusion therapy measures, blood loss evaluation and calculating red blood cell transfusion amount were proposed; 3. Nomograms were built on the background of interfering relationship of blood hematocrit and hemoglobin concentration; 4. New guidelines for infusion therapy, blood loss evaluation and calculating transfusion amount for proper hematocrit increase were proposed; 5. New method for early verification of occult bleeding has been suggested. Three major homeostatic blood states were described: (1) target state, (2) state of maximal isoosmotic plasma dilution and (3) dehydration. Target states maintain optimal red cell mass and blood volume correlation. Other two maintain critical plasma hydration origin deviations from target state. Three new nomograms enable planning and evaluation of infusion therapy and red cell mass transfusion, quantitate evaluation of blood loss and early detection of occult bleeding based on the dynamics of blood hematocrit and hemoglobin concentration.
Download or read book Technology for Large Space Systems written by and published by . This book was released on 1982 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Photons In Fock Space And Beyond In 3 Volumes written by Reinhard Honegger and published by World Scientific. This book was released on 2015-04-22 with total page 2353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three-volume major reference “Photons in Fock Space and Beyond” undertakes a new mathematical and conceptual foundation of the theory of light emphasizing mesoscopic radiation systems. The quantum optical notions are generalized beyond Fock representations where the richness of an infinite dimensional quantum field system, with its mathematical difficulties and theoretical possibilities, is fully taken into account. It aims at a microscopic formulation of a mesoscopic model class which covers in principle all stages of the generation and propagation of light within a unified and well-defined conceptual frame.The dynamics of the interacting systems is founded — according to original works of the authors — on convergent perturbation series and describes the developments of the quantized microscopic as well as the classical collective degrees of freedom at the same time. The achieved theoretical unification fits especially to laser and microwave applications inheriting objective information over quantum noise.A special advancement is the incorporation of arbitrary multiply connected cavities where ideal conductor boundary conditions are imposed. From there arises a new category of classical and quantized field parts, apparently not treated in Quantum Electrodynamics before. In combination with gauge theory, the additional “cohomological fields” explain topological quantum effects in superconductivity. Further applications are to be expected for optoelectronic and optomechanical systems.
Download or read book Mathematical Methods in Quantum Mechanics written by Gerald Teschl and published by American Mathematical Soc.. This book was released on 2009 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrodinger operators. Part 1 of the book is a concise introduction to the spectral theory of unbounded operators. Only those topics that will be needed for later applications are covered. The spectral theorem is a central topic in this approach and is introduced at an early stage. Part 2 starts with the free Schrodinger equation and computes the free resolvent and time evolution. Position, momentum, and angular momentum are discussed via algebraic methods. Various mathematical methods are developed, which are then used to compute the spectrum of the hydrogen atom. Further topics include the nondegeneracy of the ground state, spectra of atoms, and scattering theory. This book serves as a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required. In particular, no functional analysis and no Lebesgue integration theory are assumed. It develops the mathematical tools necessary to prove some key results in nonrelativistic quantum mechanics. Mathematical Methods in Quantum Mechanics is intended for beginning graduate students in both mathematics and physics and provides a solid foundation for reading more advanced books and current research literature. It is well suited for self-study and includes numerous exercises (many with hints).
Download or read book Physics Of Reality The Space Time Matter Cosmos Proceedings Of The 8th Symposium Honoring Mathematical Physicist Jean pierre Vigier written by Richard L Amoroso and published by World Scientific. This book was released on 2013-09-18 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: A truly Galilean-class volume, this book introduces a new method in theory formation, completing the tools of epistemology. It covers a broad spectrum of theoretical and mathematical physics by researchers from over 20 nations from four continents. Like Vigier himself, the Vigier symposia are noted for addressing avant-garde, cutting-edge topics in contemporary physics. Among the six proceedings honoring J.-P. Vigier, this is perhaps the most exciting one as several important breakthroughs are introduced for the first time. The most interesting breakthrough in view of the recent NIST experimental violations of QED is a continuation of the pioneering work by Vigier on tight bound states in hydrogen. The new experimental protocol described not only promises empirical proof of large-scale extra dimensions in conjunction with avenues for testing string theory, but also implies the birth of the field of unified field mechanics, ushering in a new age of discovery. Work on quantum computing redefines the qubit in a manner that the uncertainty principle may be routinely violated. Other breakthroughs occur in the utility of quaternion algebra in extending our understanding of the nature of the fermionic singularity or point particle. There are several other discoveries of equal magnitude, making this volume a must-have acquisition for the library of any serious forward-looking researchers.
Download or read book Technology for Large Space Systems written by and published by . This book was released on 1983 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fundamentals of Signal Processing in Metric Spaces with Lattice Properties written by Andrey Popoff and published by CRC Press. This book was released on 2017-11-03 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring the interrelation between information theory and signal processing theory, the book contains a new algebraic approach to signal processing theory. Readers will learn this new approach to constructing the unified mathematical fundamentals of both information theory and signal processing theory in addition to new methods of evaluating quality indices of signal processing. The book discusses the methodology of synthesis and analysis of signal processing algorithms providing qualitative increase of signal processing efficiency under parametric and nonparametric prior uncertainty conditions. Examples are included throughout the book to further emphasize new material.
Download or read book Homotopy Type Theory Univalent Foundations of Mathematics written by and published by Univalent Foundations. This book was released on with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book International Handbook of Personal Construct Psychology written by Fay Fransella and published by John Wiley & Sons. This book was released on 2003-09-12 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Personal Construct Psychology (PCP) was devised by George Kelly in 1955 as a new method in psychotherapy. Since then, his techniques have been applied widely throughout psychology and beyond, to include areas as diverse as nursing, conflict resolution, sociology and literary criticism. This handbook brings together, for the first time, a wide range of theories, research and practice that have grown out of Kelly's original concept. It provides a reference on what has been done and insights into how further applications can be made within psychology and psychotherapy, and also informs non-psychologists and those unfamiliar with Kelly's techniques of its usefulness and applicability in other disciplines. * This is the only comprehensive reference on PCP available * Kelly's work is seminal and widely known * Emphasises practical application to a wide-range of disciplines
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Learning Spaces written by Jean-Claude Falmagne and published by Springer Science & Business Media. This book was released on 2010-09-10 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning spaces offer a rigorous mathematical foundation for practical systems of educational technology. Learning spaces generalize partially ordered sets and are special cases of knowledge spaces. The various structures are investigated from the standpoints of combinatorial properties and stochastic processes. Leaning spaces have become the essential structures to be used in assessing students' competence of various topics. A practical example is offered by ALEKS, a Web-based, artificially intelligent assessment and learning system in mathematics and other scholarly fields. At the heart of ALEKS is an artificial intelligence engine that assesses each student individually and continously. The book is of interest to mathematically oriented readers in education, computer science, engineering, and combinatorics at research and graduate levels. Numerous examples and exercises are included, together with an extensive bibliography.
Download or read book The Continuum Limit of Causal Fermion Systems written by Felix Finster and published by Springer. This book was released on 2016-08-19 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph introduces the basic concepts of the theory of causal fermion systems, a recent approach to the description of fundamental physics. The theory yields quantum mechanics, general relativity and quantum field theory as limiting cases and is therefore a candidate for a unified physical theory. From the mathematical perspective, causal fermion systems provide a general framework for describing and analyzing non-smooth geometries and "quantum geometries". The dynamics is described by a novel variational principle, called the causal action principle. In addition to the basics, the book provides all the necessary mathematical background and explains how the causal action principle gives rise to the interactions of the standard model plus gravity on the level of second-quantized fermionic fields coupled to classical bosonic fields. The focus is on getting a mathematically sound connection between causal fermion systems and physical systems in Minkowski space. The book is intended for graduate students entering the field, and is furthermore a valuable reference work for researchers in quantum field theory and quantum gravity.
Download or read book Analytical Methods for Kolmogorov Equations written by Luca Lorenzi and published by CRC Press. This book was released on 2016-10-04 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this book has a new title that more accurately reflects the table of contents. Over the past few years, many new results have been proven in the field of partial differential equations. This edition takes those new results into account, in particular the study of nonautonomous operators with unbounded coefficients, which has received great attention. Additionally, this edition is the first to use a unified approach to contain the new results in a singular place.
Download or read book Perspectives in Riemannian Geometry written by Vestislav Apostolov and published by American Mathematical Soc.. This book was released on 2006 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special geometries as well as the relation between curvature and topology have always been of interest to differential geometers. More recently, these topics have turned out to be of use in physical problems related to string theory as well. This volume provides a unique and thorough survey on the latest developments on Riemannian geometry, special geometrical structures on manifolds, and their interactions with other fields such as mathematical physics, complex analysis, andalgebraic geometry. This volume presents ten papers written by participants of the ``Short Program on Riemannian Geometry,'' a workshop held at the CRM in Montreal in 2004. It will be a valuable reference for graduate students and research mathematicians alike. Information for our distributors: Titles inthis series are copublished with the Centre de Recherches Mathematiques.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975 with total page 1146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Space Groups and Their Representations written by Gertjan Koster and published by Elsevier. This book was released on 2012-12-02 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: Space Groups and Their Representations focuses on the discussions on space groups and their corresponding numerical and analytical representations. Divided into six chapters, the book starts with the presentation of the nature and properties of space groups. This topic includes orthogonal transformations and Bravais lattices, such as cubic system, triclinic system, trigonal and hexagonal systems, monoclinic systems, and tetragonal systems. The book then proceeds with the discussion on the irreducible representations of space groups, and then covers the general theory, simplification, and introduction. Discussions on various examples of space groups are given in the third chapter. Numerical representations are provided to support the validity of the different space groups, including discussions on double groups. The book also points out that the irreducible representation of space groups and the application of representation theory to them manifest the latest developments on geometrical crystallography. The text is a vital source of data for scholars and readers who are interested to study space groups and crystallography.
Download or read book Optimization by Vector Space Methods written by David G. Luenberger and published by John Wiley & Sons. This book was released on 1997-01-23 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.
