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The modem theory of Markov processes has its origins in the studies of A. A. MARKOV (1906-1907) on sequences of experiments "connected in a chain" and in the attempts to describe mathematically the physical phenomenon known as Brownian motion (L. BACHELlER 1900, A. EIN STEIN 1905). The first correct mathematical construction of a Markov process with continuous trajectories was given by N. WIENER in 1923. (This process is often called the Wiener process.) The general theory of Markov processes was developed in the 1930's and 1940's by A. N. KOL MOGOROV, W. FELLER, W. DOEBLlN, P. LEVY, J. L. DOOB, and others. During the past ten years the theory of Markov processes has entered a new period of ...
Heinz Bauer (1928-2002) was one of the prominent figures in Convex Analysis and Potential Theory in the second half of the 20th century. The Bauer minimum principle and Bauer's work on Silov's boundary and the Dirichlet problem are milestones in convex analysis. Axiomatic potential theory owes him what is known by now as Bauer harmonic spaces. These Selecta collect more than twenty of Bauer's research papers including his seminal papers in Convex Analysis and Potential Theory. Above his research contributions Bauer is best known for his art of writing survey articles. Five of his surveys on different topics are reprinted in this volume. Among them is the well-known article Approximation and Abstract Boundary, for which he was awarded with the Chauvenet Price by the American Mathematical Association in 1980.
Almost all branches of chemistry and material science now interface with organometallic chemistry--the study of compounds containing carbon-metal bonds. This widely acclaimed serial contains authoritative reviews that address all aspects of organometallic chemistry, a field that has expanded enormously since the publication of Volume 1 in 1964. - Informs and updates on all the latest developments in the field - Contributions from leading authorities and industry experts
Photoaging results from chronic exposure to UV radiation and is an increasingly common clinical feature, with an aging population the clinical burden is likely to increase despite advances in our understanding of the pathology and development of improved treatments. This book will present and review the latest progress from the forefront of translational research in cutaneous photoaging. The core chapters focus on the current understanding of the biochemical mechanisms of photoageing and lead on to aspects of photoprotection and photomedicine to provide a complete picture of the current field and a context for the importance of the basic mechanistic understanding. With a global team of authors Cutaneous Photoaging provides an international perspective on the causes, consequences, pathophysiology and treatment of photoaging, ideal for dermatologists, students and professionals in photoscience.
Photodynamic therapy has been widely investigated over the past two decades and is emerging as a promising therapeutic modality for skin cancers and several inflammatory diseases. This growing interest is based on the availability of a new simple, effective and safe regimen using the topical application of a pro-drug, 5-aminolevulinic acid, as well as on the development of new "second generation" photosensitizers, namely 5-aminolevulinic acid-esters, phthalocyanines, chlorins, porphycenes and hypericin. In contrast to hematoporphyrin derivatives, these compounds are characterized by short-lasting generalized skin photosensitivity. These dyes are available for either topical or systemic deliv...
After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975). It is well known that the theory of set-valued random variables is a natural extension of that of general real-valued random variables or random vectors. However, owing to the topological structure of the space of closed sets and special features of set-theoretic operations ( cf. Beer [27]), set-valued random variables have many special properties. This gives new meanings for the classical probability theory. As a result of the development in this area in the past more than 30 years, the theory of set-valued random variables with many applications has become one of new and active branches in probability theory. In practice also, we are often faced with random experiments whose outcomes are not numbers but are expressed in inexact linguistic terms.
Vols. for 1963- include as pt. 2 of the Jan. issue: Medical subject headings.
This festschrift volume, published in honor of Jürgen Dassow on the occasion of his 65th birthday, contains 19 contributions by leading researchers, colleagues, and friends. Covering topics on picture languages, cooperating distributed systems of automata, quantum automata, grammar systems, online computation, word equations, biologically motivated formal systems, controlled derivations, descriptional complexity, as well as 'classical' topics of automata and language theory, the articles presented span the range of the scientific work of Jürgen Dassow.