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Measurement Uncertainties in Science and Technology
At the turn of the 19th century, Carl Friedrich Gauß founded error calculus by predicting the then unknown position of the planet Ceres. Ever since, error calculus has occupied a place at the heart of science. In this book, Grabe illustrates the breakdown of traditional error calculus in the face of modern measurement techniques. Revising Gauß’ error calculus ab initio, he treats random and unknown systematic errors on an equal footing from the outset. Furthermore, Grabe also proposes what may be called well defined measuring conditions, a prerequisite for defining confidence intervals that are consistent with basic statistical concepts. The resulting measurement uncertainties are as robust and reliable as required by modern-day science, engineering and technology.
Measure Theory and Probability Theory
The book can be used as a text for a two semester sequence of courses in measure theory and probability theory, with an option to include supplemental material on stochastic processes and special topics.Prerequisites are kept to the minimal level of an understanding of basic real analysis concepts such as limits, continuity, differentiability, Riemann integration, and convergence of sequences and series. A review of this material is included in the appendix. The book starts with an informal introduction that provides some heuristics into the abstract concepts of measure and integration theory, which are then rigorously developed. The first part of the book can be used for a standard real analysis course for both mathematics and statistics Ph.D. students as it provides full coverage of topics such as the construction of Lebesgue-Stieltjes measures on real line and Euclidean spaces, the basic convergence theorems, L^p spaces, signed measures, Radon-Nikodym theorem, Lebesgue's decomposition theorem and the fundamental theorem of Lebesgue integration on R, product spaces and product measures, and Fubini-Tonelli theorems. It also provides an elementary introduction to Banach and Hilbert spaces, convolutions, Fourier series and Fourier and Plancherel transforms.
Measure Theory
This book gives a systematic presentation of modern measure theory as it has developed over the past century and offers three levels of presentation: a standard university graduate course, an advanced study containing some complements to the basic course (the material of this level corresponds to a variety of special courses), and, finally, more specialized topics partly covered by more than 850 exercises. Bibliographical and historical comments and an extensive bibliography with 2000 works covering more than a century are provided.
Meaning-Making for Living : The Emergence of the Presentational Self in Children’s Everyday Dialogues
This Brief analyzes the dynamics in which children’s selves emerge through their everyday activities of meaning construction, both in their relationships with family and within school education. It begins with a discussion of new psychological inquiries into children's selves and builds upon the innovative theoretical notion of the Presentational Self, developed by the author over the last decade. The book illustrates how the observation of children’s meaning construction in their everyday lives becomes a starting point for theoretical and empirical inquiries into child development and gives a framework that promotes new inquiries in this area. The book describes the Presentational Self Theory as a sense of how the notion of the Self is being worked upon in everyday life encounters. Chapters feature in-depth analyses of exchanges between adults and children in the Japanese cultural context.
Mean Oscillations and Equimeasurable Rearrangements of Functions
Various applications of equimeasurable function rearrangements to the ''best constant"-type problems are considered in this volume. Several classical theorems are presented along with some very recent results. In particular, the text includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation (BMO) functions with sharp exponent, a refinement of the Gurov-Reshetnyak lemma, sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, reverse Hölder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics.
Me
يبحث المشروع بتصميم الشعارات (لوغو) والملصقات الجدارية و الإعلانات والدعاية و البطاقات الكرتونية و اللوحات و الشاخصات الطرقية
MDCT and 3D Workstations : A Practical How-To Guide and Teaching File
Written by Scott A. Lipson, MD, an authority in the field, this book is ideal for radiologists, radiology residents, and CT technologists who are getting started in multidetector CT or who want to improve and optimize their CT service. This concise guide and teaching file is the perfect introduction to MDCT volumetric imaging and 3D workstations. Intended to serve as a practical, easy-to-read systematic learning tool, the book begins by introducing the reader to the process of image data acquisition, CT protocols, image reconstruction and review, 3D workstations, clinical workstation use, and CT workflow efficiency. The second section of this book is a volumetric imaging teaching file.
MDCT : A Practical Approach
Computed tomography (CT) is the most rapidly evolving medical imaging technology. This book describes current examination techniques and advanced clinical applications of state-of-the-art multidetector computed tomography (MDCT) scanners in chapters contributed by several distinguished radiologists and clinicians. Each chapter is written from a practical perspective so that radiologists, residents, medical physicists, and radiology technologists can obtain relevant information about MDCT applications in neuroradiology, cardiac imaging, chest, abdominal, and musculoskeletal radiology subspecialties. Each coauthor provides pertinent illustrations and tables for better understanding of current and advanced applications of MDCT scanners. Readers will benefit from the experience these authors describe in chapters on MDCT technology, contrast administration techniques, contrast adverse effects and their management, and advanced applications of MDCT.
MDATA : A New Knowledge Representation Model: Theory, Methods and Applications
This book introduces a new knowledge representation model called MDATA (Multi-dimensional Data Association and inTelligent Analysis). By modifying the representation of entities and relations in knowledge graphs, dynamic knowledge can be efficiently described with temporal and spatial characteristics. The MDATA model can be regarded as a high-level temporal and spatial knowledge graph model, which has strong capabilities for knowledge representation. This book introduces some key technologies in the MDATA model, such as entity recognition, relation extraction, entity alignment, and knowledge reasoning with spatiotemporal factors. The MDATA model can be applied in many critical applications and this book introduces some typical examples, such as network attack detection, social network analysis, and epidemic assessment.
McCracken's removable partial prosthodontics
Walks readers through all the principles and concepts surrounding removable partial denture treatment planning and design that today’s practitioners need to know. Using an evidence-based approach, this full-color text incorporates the latest information on new techniques, procedures, and equipment, including expanded information on dynamic communication and the use of implants with removable partial dentures. From initial contact with the patient to post-treatment care, McCracken’s is the complete foundation today’s dentists need to successfully practice prosthodontic care.
Max-Plus Linear Stochastic Systems and Perturbation Analysis
This book provides a thorough treatment of the theory of stochastic max-plus linear systems. Max-plus algebra is an algebraic approach to discrete event systems (DES), like queuing networks that are prone to synchronization. Perturbation analysis studies the sensitivity of the performance of DES with respect to changes in a particular system parameter.
Maxillofacial Imaging
Maxillofacial imaging has evolved dramatically over the past two decades with development of new cross-sectional imaging techniques. Traditional maxillofacial imaging was based on plain films and dental imaging. However, today’s advanced imaging techniques with CT and MRI have only been partially implemented for maxillofacial questions. This book bridges the gap between traditional maxillofacial imaging and advanced medical imaging. We have applied CT and MRI to a variety of maxillofacial cases and these are illustrated with high-quality images and multiple planes. A comprehensive chapter on imaging anatomy is also included. This book is useful for oral and maxillofacial radiologists, oral and maxillofacial surgeons, dentists, radiologists, plastic surgeons, head and neck surgeons, and others that work with severe maxillofacial disorders.
Maxillofacial Imaging
Demonstrates how advanced medical imaging techniques can be successfully applied to dental and maxillofacial conditions. There is a focus on CT and MRI, but the use of all contemporary imaging techniques are illustrated including PET, PET/CT, ultrasonography, and cone beam CT. The presentation is in atlas style, with succinct, bulleted text and a wealth of high-quality images in multiple planes. All images for each patient are grouped to enable the reader very quickly to gain an imaging overview of the condition under consideration. After a comprehensive introductory chapter on normal imaging anatomy, the role of advanced imaging techniques is described in pathologic conditions of the mandible and maxilla, temporomandibular joint, regions closely related to the jaw, paranasal sinuses, oral cavity, salivary glands, and structures adjacent to the maxillofacial region. A concluding chapter examines the use of interventional procedures for diagnosis and treatment of maxillofacial conditions. Compared with the first edition, numerous additional cases have been incorporated and a completely new chapter focuses on cone beam CT.
Maturing Usability : Quality in Software, Interaction and Value
Divided into three parts, ‘Quality in Software’ looks at how using development tools can enhance usability of a system, and how methods and models can be integrated into the development process to produce effective user interfaces. ‘Quality in Interaction’ addresses theoretical frameworks on the nature of interactions; techniques and metrics for evaluation interaction quality; and the transfer of concepts and methods from research to practice. Finally, ‘Quality in Value’ assesses the impact that a system has in the real world, focusing on increasing the value of usability practice for software development and on increasing value for the users.
Matrix-Based Multigrid : Theory and Applications
Multigrid methods are often used for solving partial differential equations. This book introduces and analyzes the multigrid approach. The approach used here applies to both test problems on rectangular grids and to more realistic applications with complicated grids and domains.
Matrix Algebra : Theory, Computations, and Applications in Statistics
Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. The first part of this book presents the relevant aspects of the theory of matrix algebra for applications in statistics. This part begins with the fundamental concepts of vectors and vector spaces, next covers the basic algebraic properties of matrices, then describes the analytic properties of vectors and matrices in the multivariate calculus, and finally discusses operations on matrices in solutions of linear systems and in eigenanalysis. This part is essentially self-contained.
MATLAB® Recipes for Earth Sciences
MATLAB is used in a wide range of applications in geosciences, such as image processing in remote sensing, generation and processing of digital elevation models and the analysis of time series. This book introduces basic methods of data analysis in geosciences using MATLAB. The text includes a brief description of each method and numerous examples demonstrating how MATLAB can be used on data sets from earth sciences. All MATLAB recipes can be easily modified in order to analyse the reader's own data sets.
MATLAB® Recipes for Earth Sciences
MATLAB® is used in a wide range of applications in geosciences, such as image processing in remote sensing, generation and processing of digital elevation models and the analysis of time series. This book introduces methods of data analysis in geosciences using MATLAB such as basic statistics for univariate, bivariate and multivariate datasets, jackknife and bootstrap resampling schemes, processing of digital elevation models, gridding and contouring, geostatistics and kriging, processing and georeferencing of satellite images, digitizing from the screen, linear and nonlinear time-series analysis and the application of linear time-invariant and adaptive filters. The revised and updated Second Edition includes new subchapters on windowed Blackman-Tukey, Lomb-Scargle and Wavelet powerspectral analysis, statistical analysis of point distributions and digital elevation models, and a full new chapter on the statistical analysis of directional data. The text includes a brief description of each method and numerous examples demonstrating how MATLAB can be used on data sets from earth sciences. All MATLAB recipes can be easily modified in order to analyse the reader's own data sets.
Mathématiques de base pour économistes = Basic Mathematics for Economists
This book contains fundamental elements of mathematics and includes the following elements: notion of logic, propositions, theorems, sets, relations and functions; graphical representations of functions, economic applications of lines and functions, sequences, limits and first derivative, differential economic applications of derivatives; integrals: undefined and defined with economic applications; mathematical series; functions of several variables, partial derivatives, Lagrange multiplier with economic applications; linear algebra: matrix calculus, system of linear equations, vectors, differential calculus in matrix form.
Mathematics teacher preparation in Central America and the Caribbean : The cases of Colombia, Costa Rica, the Dominican Republic and Venezuela
This book brings to the international Educational Community an important collection of experiences and ideas in the Mathematics Education of four countries of a region within the heart of the American continent, a region that has been many times forgotten. The dissemination of these results can promote the search for international collaborative actions in a wider scale.
