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Applied Proof Theory : Proof Interpretations and Their Use in Mathematics
Ulrich Kohlenbach presents an applied form of proof theory that has led in recent years to new results in number theory, approximation theory, nonlinear analysis, geodesic geometry and ergodic theory (among others). This applied approach is based on logical transformations (so-called proof interpretations) and concerns the extraction of effective data (such as bounds) from prima facie ineffective proofs as well as new qualitative results such as independence of solutions from certain parameters, generalizations of proofs by elimination of premises. The book first develops the necessary logical machinery emphasizing novel forms of Gödel's famous functional ('Dialectica') interpretation. It then establishes general logical metatheorems that connect these techniques with concrete mathematics. Finally, two extended case studies (one in approximation theory and one in fixed point theory) show in detail how this machinery can be applied to concrete proofs in different areas of mathematics.
Applied Probability and Statistics
This text is designed for a one-semester course on Probability and Statistics. The exposition unfolds systematically from an introductory chapter to such topics as random variables and vectors, stochastic processes, estimation, testing and regression. The topics are well chosen and the presentation is enriched by many examples from real life. Following every chapter, the reader will find many original, solved and unsolved problems and hundreds of multiple choice questions, enabling those unfamiliar with the topics to master them. Additionally appealing are the interesting historical notes on the mathematicians mentioned throughout and a useful bibliography. A distinguishing character of the book is the thorough and succinct handling of the various topics.
Applied Physiology in Intensive Care Medicine
A series of short papers published in Intensive Care Medicine since 2002 under the heading Physiologic Notes attempts to capture the essence of the physiologic perspectives that underpin both our understanding of disease and response to therapy. Tis present volume combines the complete list of these Physiologic Notes up until July 2006 with the ass o ciated review articles over the same in terval that also address edthese central issues.
Applied Physics
Presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills
Applied Physical Pharmacy
Presents an introduction to physical pharmacy. This book begins with a review of key biopharmaceutics concepts of drug liberation, absorption, distribution, metabolism, and excretion
Applied Pattern Recognition
The main goal of this book is to cover some of the latest application domains of pattern recognition while presenting novel techniques that have been developed or customized in those domains.
Applied Partial Differential Equations : A Visual Approach
This book presents selected topics in science and engineering from an applied-mathematics point of view. The described natural, socioeconomic, and engineering phenomena are modeled by partial differential equations that relate state variables.
Applied Parallel Computing ; 6th International Conference, PARA 2002, Espoo, Finland, June 15-18, 2002. Proceeding
These proceedings contain the papers presented at PARA 2002, the Sixth In-ternational Conference on Applied Parallel Computing. PARA 2002 was held inEspoo, Finland, June 15–18, 2002, and hosted by CSC, the Finnish informationtechnology center for science. The general theme of the conference was advancedscientific computing.The conference demonstrated the ability of advanced scientific computing tosolve real-world problems, and highlighted methods, instruments, and trends infuture scientific computing. The conference began with a one-day tutorial sessionon Grid programming.The conference focused on an application-oriented, multi-disciplinary, andmulti-scale approach. A wide variety of scientific computing applications wereintroduced, from semiconductor processing and behavior of the human body tooceanic and atmospheric phenomena.
Applied Occlusion : QuintEssentials of Dental Practice ; Vol. 29
Includes many new illustrations, highlighted practical tips, and updates to the text with the most recent advances in the literature. The narrated 3D animations on the accompanying DVD clarify the effects of jaw movement, and comprehensive clinical videos demonstrate the process of investigating and managing real-life occlusal problems. The authors of this practical guide bring occlusal concepts and techniques to life and demystify them for dentists and students alike.
Applied Multivariate Statistical Analysis
This book presents the tools and concepts of multivariate data analysis in a way that is understandable for non-mathematicians and practitioners who face statistical data analysis.
Applied mathematics and machine learning
The simultaneous availability of large datasets and high-performance computing capability in recent years has enabled the rapid development of powerful machine learning algorithms. On the one hand, state-of-the-art machine learning techniques have transformed many areas of science and engineering; on the other hand, theoretical discoveries in mathematical algorithms, differential equations, and statistical inferences, to name a few, have provided the foundation for the exploration of new multidisciplinary models for solving practical problems. This Special Issue endeavors to continue the journey that started in our previous Special Issue (Applied Mathematics and Computational Physics) by providing a platform for researchers from both academia and industry, as well as government, to present their new computational methods that have engineering and physics applications.
Applied Mathematical Demography
it focus on applications of demographic models, while extending its scope to matrix models for stage-classified populations.first introduce the life table to describe age-specific mortality, and then use it to develop theory for stable populations and the rate of population increase. This theory is then revisited in the context of matrix models, for stage-classified as well as age-classified populations. Reproductive value and the stable equivalent population are introduced in both contexts, and Markov chain methods are presented to describe the movement of individuals through the life cycle. Applications of mathematical demography to population projection and forecasting, kinship, microdemography, heterogeneity, and multi-state models are considered.
Applied Hydrogeophysics
This book focuses on how hydrogeophysical methods can be applied to solve problems facing environmental engineers, geophysicists, agronomists, hydrologists, soil scientists and hydrogeologists. We present applications of hydrogeophysical methods to the understanding of hydrological processes and environmental problems dealing with the flow of water and the transport of solutes and contaminants. The majority of the book is organized as a series of process-driven chapters, each authored by leading experts. Areas covered include: infiltration and solute transport processes, biogeochemical functioning of soil-water systems, coastal groundwater interactions, cold region hydrology, engineered barriers and landfill processes. In addition, the book offers insight into the development of new data fusion methodologies, of value to many hydrogeophysical investigations, and provides an account how the rapidly developing self-potential technique can give valuable information about water fluxes and hydrochemical states within the subsurface.
Applied Graph Theory in Computer Vision and Pattern Recognition
It presents the application of graph theory to low-level processing of digital images, presents graph-theoretic learning algorithms for high-level computer vision and pattern recognition applications, and provides detailed descriptions of several applications of graph-based methods to real-world pattern recognition tasks.
Applied geotechnics for construction projects ; Vol. 3 : Behavior and Design of Project Foundations and Eurocode Validation
Applied Geotechnics for Construction Projects 3 first presents the basic theoretical principles and rules governing the designing and validation of foundations; shallow, semi-deep and deep, then presents real foundation projects with a detailed comparison of the approaches and methods of calculating foundations in relation to the reference systems and rules in force, closely compared to and validated by the Eurocodes. The third chapter presents examples of foundation projects, covering high-side building rafts, strip footings, piles and embankments, enriched by an unprecedented level of experience in the field of foundations for civil and industrial construction projects.
Applied geotechnics for construction projects ; Vol. 2 : Fundamental Principles of Soil Mechanics and the Role of Water
Addresses the fundamental principles of soil mechanics and the role of water in geotechnical projects and assessments. Applied Geotechnics for Construction Projects 2 outlines the hydraulic properties of soils and the basic concepts of water in soil, detailing the principles of permeability measurement tests and giving concrete test cases, and then goes on to outline the basic notions of soil mechanics as applied in geotechnics: from consolidation to short- and long-term notions via the swelling phenomena of clayey soils, soil shear strength and slope stability. The third chapter presents a comprehensive overview of geotechnical expertise using examples of concrete projects either with or without damage in the context of geotechnical construction works.
Applied Geometry for Computer Graphics and CAD
Focusing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). An introduction to transformations of the plane and three-dimensional space describes how objects can be constructed from geometric primitives and manipulated. This leads into a treatment of projections and the method of rendering objects on a computer screen by application of the complete viewing operation. Subsequently, the emphasis is on the two principal curve and surface representations, namely, Bézier and B-spline (including NURBS).
Applied Fuzzy Arithmetic : An Introduction with Engineering Applications
Applied Fuzzy Arithmetic provides a well-structured compendium that offers both a deeper knowledge about the theory of fuzzy arithmetic and an extensive view on its applications in the engineering sciences, making it a resource for students, researchers, and practical engineers. The first part of the book gives an introduction to the theory of fuzzy arithmetic, which aims to present the subject in a well-organized and comprehensible form. The derivation of fuzzy arithmetic from the original fuzzy set theory and its evolution towards a successful implementation is presented with existing formulations of fuzzy arithmetic included and integrated in the overall context. The second part of the book presents a diversified exposition of the application of fuzzy arithmetic, addressing different areas of the engineering sciences, such as mechanical, geotechnical, biomedical, and control engineering.
Applied Econometrics with R
This is the first book on applied econometrics using the R system for statistical computing and graphics. It presents hands-on examples for a wide range of econometric models, from classical linear regression models for cross-section, time series or panel data and the common non-linear models of microeconometrics such as logit, probit and tobit models, to recent semiparametric extensions. In addition, it provides a chapter on programming, including simulations, optimization, and an introduction to R tools enabling reproducible econometric research.
Applied Deep Learning with TensorFlow 2 : Learn to Implement Advanced Deep Learning Techniques with Python
Focuses on the fundamental concepts and at the same time on practical aspects of implementing neural networks and deep learning for your research projects. This book is designed so that you can focus on the parts you are interested in. You will explore topics as regularization, optimizers, optimization, metric analysis, and hyper-parameter tuning. In addition, you will learn the fundamentals ideas behind autoencoders and generative adversarial networks. All the code presented in the book will be available in the form of Jupyter notebooks which would allow you to try out all examples and extend them in interesting ways. A companion online book is available with the complete code for all examples discussed in the book and additional material more related to TensorFlow and Keras. All the code will be available in Jupyter notebook format and can be opened directly in Google Colab (no need to install anything locally) or downloaded on your own machine and tested locally. You will: Understand the fundamental concepts of how neural networks work / Learn the fundamental ideas behind autoencoders and generative adversarial networks / Be able to try all the examples with complete code examples that you can expand for your own projects / Have available a complete online companion book with examples and tutorials.
