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This book presents new insights into Leibniz's research on planetary theory and his system of pre-established harmony. It also provides an in-depth discussion of Kepler's influence on Leibniz's planetary theory and more generally, on Leibniz's concept of pre-established harmony.
Self-Oscillations in Dynamic Systems
Through the innovative practice of 'mesearch', in which the author is both theoriser and theorised, this study delivers a personal, creative narration, combining reflections and emotions in relation to self and performance.
In late 2015, against a background of growing populist opposition to international trade agreements, the European Commission announced its willingness to negotiate a comprehensive bilateral investment agreement with Taiwan.
This text provides a comprehensive, state-of-the art review of this field, and will serve as a valuable resource for students, clinicians, and researchers with an interest in hepatitis B.
Percutaneous left atrial appendage (LAA) closure is an emerging technology for thromboembolic prevention in patients with atrial fibrillation (AF). The first human implantation of an LAA device occurred in 2001, and since then four devices have received CE mark approval.
Topics discussed at the conference included spectral theory, operator theory, optimization, numerical analysis, ordinary and partial differential equations, dynamical systems, control theory, probability, and statistics.
This book focuses on data describing the roles of free radicals and related reactive species, and antioxidants, in the causes and treatments of diseases, examining both clinical and pre-clinical trials, as well as basic research.
Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schroedinger equations, Klein-Gordon equations, Maxwell equations and plate equations.
Particular attention is paid to fractional integrals and derivatives, singular, hypersingular and potential operators in variable exponent spaces, pseudodifferential operators in various modern function and distribution spaces, as well as related applications, to mention but a few.
These include random matrix theory, nonparametric statistics, empirical process theory, statistical learning theory, concentration of measure phenomena, strong and weak approximations, distribution function estimation in high dimensions, combinatorial optimization, and random graph theory.
The chief purpose of the book is to present, in detail, a compilation of proofs of the Cantor-Bernstein Theorem (CBT) published through the years since the 1870's. Over thirty such proofs are surveyed.The book comprises five parts. In the first part the discussion covers the role of CBT and related notions in the writings of Cantor and Dedekind. New views are presented, especially regarding the general proof of CBT obtained by Cantor, his proof of the Comparability Theorem, the ruptures in the Cantor-Dedekind correspondence and the origin of Dedekind's proof of CBT.The second part covers the first CBT proofs published (1896-1901). The works of the following mathematicians is considered in detail: Schroder, Bernstein, Bore, Schoenflies and Zermelo. Here a subtheme of the book is launched; it concerns the research project following Bernstein's Division Theorem (BDT).In its third part the book covers proofs that emerged during the period when the logicist movement was developed (1902-1912). It covers the works of Russell and Whitehead, Jourdain, Harward, Poincare, J. Konig, D. Konig (his results in graph theory), Peano, Zermelo, Korselt. Also Hausdorff's paradox is discussed linking it to BDT.In the fourth part of the book are discussed the developments of CBT and BDT (including the inequality-BDT) in the hands of the mathematicians of the Polish School of Logic, including Sierpinski, Banach, Tarski, Lindenbaum, Kuratowski, Sikorski, Knaster, the British Whittaker, and Reichbach.Finally, in the fifth part, the main discussion concentrates on the attempts to port CBT to intuitionist mathematics (with results by Brouwer, Myhill, van Dalen and Troelstra) and to Category Theory (by Trnkova and Koubek).The second purpose of the book is to develop a methodology for the comparison of proofs. The core idea of this methodology is that a proof can be described by two descriptors, called gestalt and metaphor. It is by comparison of their descriptors that the comparison of proofs is obtained. The process by which proof descriptors are extracted from a proof is named 'proof-processing', and it is conjectured that mathematicians perform proof-processing habitually, in the study of proofs.
This book offers a self-contained introduction to the theory of Lyapunov exponents and its applications, mainly in connection with hyperbolicity, ergodic theory and multifractal analysis. With the exception of a few basic results from ergodic theory and the thermodynamic formalism, all the results presented include detailed proofs.
This book describes the problems of intelligence sharing among peacekeeping partners, mainly due to security concerns and a lack of policies and resources.
What is good sex from the perspective of liberation theology? From the perspective of liberation theologies and an analysis of biblical texts, the Christian tradition, and the reality of our sexual experience, this book reframes theologies of partnership, sex work, and reproduction through the celebration of desire and sex.
Christopher Phillips, serves as an introduction to group actions on C*-algebras and their crossed products, with emphasis on the simple case and when the crossed products are classifiable.
5-HT2A receptors are G-protein coupled receptors that are widely distributed throughout the brain, most notably on neuronal and glial cells.
The main focus is on the analytic counterpart of these problems, which amounts to computing projections onto subspaces of a Hilbert space of p x 1 vector valued functions with an inner product that is defined in terms of the p x p matrix valued spectral density of the process.
This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences.Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency ¿ the Schramm¿Loewner evolution, Laplacian growth, and quadratic differentials are just a few typical examples. This book provides a representative overview of these processes and collects open problems in the various areas, while at the same time showing where and how each particular topic evolves. This volume is dedicated to the memory of Alexander Vasiliev.
This book examines the European discussion about alternative schooling in the 20th century. It refers to a stream of concepts that are often described as New Education, Progressive Education, Education Nouvelle or Reformpadagogik, and discusses a range of different models of alternative schooling.
With substantial risks arising from resource constraints on global growth, serious questions are being posed about how a scarcity of finite resources may impact global social and political fragility.
Flipped learning-in which students view recorded lectures outside of the classroom and then utilize class time to develop a broad range of knowledge and skills-is a relatively new phenomenon.
Climate Change and Writing the Canadian Arctic explores the impact of climate change on Canadian literary culture.
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory.
This book provides a comprehensive analysis of asset price movement. It examines different aspects of stock return predictability, the interaction between stock return and dividend growth predictability, the relationship between stocks and bonds, and the resulting implications for asset price movement.
While much attention has already been paid to Trump's use of Twitter as a phenomenon-how it helps drive news cycles, distracts attention from other matters, or levies attacks against rivals, the news media, and other critics-there has been little scholarly analysis of the impact Twitter played in the actual election.
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