الصفحة 145
الصفحة 145
A Geometric Approach to Differential Forms
The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions. A centerpiece of the text is the generalized Stokes' theorem. Although this theorem implies all of the classical integral theorems of vector calculus, it is far easier for students to both comprehend and remember.
A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions
This book develops a far-reaching generalization of Bohr-Mollerup's theorem to higher order convex functions, along lines initiated by Wolfgang Krull, Roger Webster, and some others but going considerably further than past work. In particular, this generalization shows using elementary techniques that a very rich spectrum of functions satisfy analogues of several classical properties of the gamma function, including Bohr-Mollerup's theorem itself, Euler's reflection formula, Gauss' multiplication theorem, Stirling's formula, and Weierstrass' canonical factorization.
A First Course in Statistical Inference
Offers a modern and accessible introduction to Statistical Inference, the science of inferring key information from data. Aimed at beginning undergraduate students in mathematics, it presents the concepts underpinning frequentist statistical theory. Written in a conversational and informal style, this concise text concentrates on ideas and concepts, with key theorems stated and proved. Detailed worked examples are included and each chapter ends with a set of exercises, with full solutions given at the back of the book. Examples using R are provided throughout the book, with a brief guide to the software included. Topics covered in the book include: sampling distributions, properties of estimators, confidence intervals, hypothesis testing, ANOVA, and fitting a straight line to paired data.
A First Course in Modular Forms
This book introduces the theory of modular forms with an eye toward the Modularity Theorem: All rational elliptic curves arise from modular forms. The topics covered include: • elliptic curves as complex tori and as algebraic curves, • modular curves as Riemann surfaces and as algebraic curves, • Hecke operators and Atkin–Lehner theory, • Hecke eigenforms and their arithmetic properties, • the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms, • elliptic and modular curves modulo p and the Eichler–Shimura Relation, • the Galois representations associated to elliptic curves and to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory.
A Course in Derivative Securities : Introduction to Theory and Computation
Aims at a middle ground between the introductory books on derivative securities and those that provide advanced mathematical treatments. It is written for mathematically capable students who have not necessarily had prior exposure to probability theory, stochastic calculus, or computer programming. It provides derivations of pricing and hedging formulas (using the probabilistic change of numeraire technique) for standard options, exchange options, options on forwards and futures, quanto options, exotic options, caps, floors and swaptions, as well as VBA code implementing the formulas. It also contains an introduction to Monte Carlo, binomial models, and finite-difference methods.
A concise introduction to traffic engineering : theoretical fundamentals and case studies
Covers a selection of fundamental topics of traffic engineering useful for highways facilities design and control. The treatment is concise but it does not neglect to examine the most recent and crucial theoretical aspects which are at the root of numerous highway engineering applications, like, for instance, the essential aspects of highways traffic stream reliability calculation and automated highway systems control.
A Comprehensive Guide to Child Custody Evaluations : Mental Health and Legal Perspectives
A Comprehensive Guide to Child Custody Evaluations covers these three essential areas to walk readers through the evaluation process clearly and concisely. This unique interdisciplinary book emphasizes professional ethics, children’s psychological well-being, and clear communication among all parties as keys to resolving disputes with efficiency and thoroughness, and minimizing the chances of children and their families getting lost in red tape.
A Comprehensible Universe : The Interplay of Science and Theology
Why is our world comprehensible? This question seems so trivial that few people have dared to ask it. In this book we explore the deep roots of the mystery of rationality. The inquiry into the rationality of the world began over two-and-a-half-thousand years ago, when a few courageous people tried to understand the world with the help of reason alone, rejecting the comforting fabric of myth and legend.
A Companion to islamic art and architecture ; 2 Vol. Set : Blackwell companions to art history
Bridges the gap between monograph and survey text by providing a new level of access and interpretation to Islamic art. The more than 50 newly commissioned essays revisit canonical topics, and include original approaches and scholarship on neglected aspects of the field. showcases more than 50 specially commissioned essays and an introduction that survey Islamic art and architecture in all its traditional grandeurEssays are organized according to a new chronological-geographical paradigm that remaps the unprecedented expansion of the field and reflects the nuances of major artistic and political developments during the 1400-year span. Represents recent developments in the field, and encourages future horizons by commissioning innovative essays that provide fresh perspectives on canonical subjects, such as early Islamic art, sacred spaces, palaces, urbanism, ornament, arts of the book, and the portable arts while introducing others that have been previously neglected, including unexplored geographies and periods, transregional connectivities, talismans and magic, consumption and networks of portability, museums and collecting,
A Common Consolidated Corporate Tax Base for Europe = Eine einheitliche Körperschaftsteuerbemessungsgrundlage für Europa
This book contains the proceedings of the International Tax Conference on the c- th th mon consolidated corporate tax base (CCCTB) that was held in Berlin Three panels of tax experts evaluated the common tax base with respect to structural elements, consolidation, allocation, international aspects and administration.
A City in Blue and Green : The Singapore Story
Highlights Singapore’s development into a city in which water and greenery, along with associated environmental, technical, social and political aspects have been harnessed and cultivated into a liveable sustainable way of life. It is also a story about a unique and thoroughgoing approach to large-scale and potentially transferable water sustainability, within largely urbanized circumstances, which can be achieved, along with complementary roles of environmental conservation, ecology, public open-space management and the greening of buildings, together with infrastructural improvements.
A buyers and users guide to astronomical telescopes & binoculars
Provides an extensive overview of astronomical binoculars and telescopes. It includes detailed up-to-date information on sources, selection and use of virtually every major type, brand, and model of such instruments on today’s market. A Buyer’s & User’s Guide to Astronomical Telescopes and Binoculars is written for amateur astronomers and would-be amateur astronomers. Anyone planning to purchase binoculars or telescopes for astronomy – whether as a first instrument or as an upgrade to the next level – will find this book a treasure-trove of information and advice. But that is just the first part of the book. The second part is crammed with hints and tips on using astronomical telescopes or binoculars – in effect, how to get the best possible results from your purchase.
A Biomass Future for the North American Great Plains : Toward Sustainable Land Use and Mitigation of Greenhouse Warming
The Great Plains of North America is a major global breadbasket but its agriculture is stressed by drought, heat spells, damaging winds, soil erosion and declining ground water resources. This book explores the possibility that the ecology and economy of the Plains region (and similar regions) would benefit from the introduction of perennial biomass crops. Biomass production and processing on the Plains (possibly aided by genetic engineering) would partially restore a perennial vegetative cover and create new employment opportunities. Biomass also offers a means of reducing fossil fuel use, providing fuel to local power plants and a feedstock for production of cellulosic ethanol, a gasoline substitute. Interest in biofuels is growing rapidly in public, political and business circles with rising fossil fuel prices and because of a growing recognition of the need for energy independence in petroleum importing countries.
A beginner's guide to urban design and development : the ABC of quality, sustainable design
Provides invaluable guidance to all those with an interest in placemaking and the built environment, from those with no experience to those who have worked for many years in industry, illustrating key principles that will secure higher quality, more sustainable design in accessible, jargon-free language. Explains the design process in a straightforward way, exploring the different roles and highlighting the opportunities and limitations different agencies have to influence design over the various stages of the process. Examples from the UK and worldwide look at how the system operates and how best practice can make a real difference on the ground. Case studies examine situations where quality or sustainability fell short – and how this could have been avoided. This book also showcases a variety of evaluation tools, explaining how they operate, and giving guidance on how to create project-specific tools to drive schemes forward. With community empowerment at its core, the book explains technical language and shares bountiful knowledge to broaden place democracy and make influencing design accessible to many, not just a few.
3-D Shape Estimation and Image Restoration : Exploiting Defocus and Motion-Blur
Images contain information about the spatial properties of the scene they depict. When coupled with suitable assumptions, images can be used to infer three-dimensional information. This useful volume concentrates on motion blur and defocus, which can be exploited to infer the 3-D structure of a scene—as well as its radiance properties—and which in turn can be used to generate novel images with better quality. 3-D Shape Estimation and Image Restoration presents a coherent framework for the analysis and design of algorithms to estimate 3-D shape from defocused and motion blurred images, and to eliminate defocus and motion blur to yield "restored" images. It provides a collection of algorithms that are optimal with respect to the chosen model and estimation criterion.
3D Segmentation for medical images (OsteoVision) = التقطيع ثلاثي الأبعاد للصور الطبية
With the increasing integration of AI across various sectors, artificial intelligence (AI) is already playing a significant role in the healthcare industry, and its use is expected to grow further. AI systems used in image processing and computer vision algorithms have shown a significant ability to perform many operations such as segmentation, classification, and detection. This project presents the application of computer vision algorithms in the field of medical imaging for diagnostic, therapeutic, and interventional purposes. This thesis explores the use of several computer vision algorithms to address different pathologies, specifically brain tumors (glioma) (see Appendix A) and knee osteoarthritis (OA), as well as tracking the progression of knee osteoarthritis using the Kellgren and Lawrence (KL) grading system, a common method for classifying the severity of OA into five grades. To achieve the desired impact, the project employs various techniques, including 3D segmentation for brain tumors, 2D segmentation for knee joints, and multinomial classification for determining the severity of knee OA injuries. The primary aims of the project are to enhance diagnostic accuracy, assist in creating treatment plans, provide an assistive tool for healthcare providers to make more informed decisions, leverage AI's capabilities to detect abnormalities that might escape the human eye, and streamline workflow. To facilitate these goals, the project incorporates a user-friendly UI, a website, and a Flutter-based mobile application, enabling healthcare providers to efficiently integrate these tools into their practice and improve patient care.
3D Recording and Interpretation for Maritime Archaeology
Includes recording and analysis of maritime archaeology through emerging technologies, including both practical and theoretical contributions. Topics include photogrammetric recording, laser scanning, marine geophysical 3D survey techniques, virtual reality, 3D modelling and reconstruction, data integration and Geographic Information Systems. This convergence of digital technologies such as underwater photography and photogrammetry, 3D sonar, 3D virtual reality, and 3D printing has highlighted a pressing need for these new methodologies to be considered together, both in terms of defining the state-of-the-art and for consideration of future directions.
3D Printing in Oral Health Science : Applications and Future Directions
Equips readers with a sound understanding of contemporary clinical applications in all fields of dentistry and their future directions. In the last few years, the development of 3D printing for medical and dental applications has increased tremendously. Advancements in 3D printing create the possibility of customized products, savings on small-scale productions, ease of sharing and processing of patient image data, and educational up-gradation. Looking at the dental specialties, it is evident that 3D printing has applications in all aspects of oral health science including prosthodontics, oral surgery, periodontics, endodontics, and orthodontics. This book will cover all major fields in dentistry and will help the practitioner in the process of decision-making and apply concepts in clinical or laboratory practice. It is based on current scientific evidence to provide readers with an up-to-date contemporary underst
25 Years of Model Checking : History, Achievements, Perspectives
Model checking technology is among the foremost applications of logic to computer science and computer engineering. The model checking community has achieved many breakthroughs, bridging the gap between theoretical computer science and hardware and software engineering, and it is reaching out to new challenging areas such as system biology and hybrid systems. Model checking is extensively used in the hardware industry and has also been applied to the verification of many types of software. Model checking has been introduced into computer science and electrical engineering curricula at universities worldwide and has become a universal tool for the analysis of systems.
21st century villa
People's everchanging lifestyles bring about more and more requirements for the overall qualities of houses, and the demands for residences have marched towards the psychological dimension and cultural sphere. Consequently, there arise new design trends and new requirements for environment, material selection and design concept. The design projects in this book lead readers to perceive the comfort and cosiness of the natural space. The designers of these projects have created more natural, and convenient living spaces in the most natural and purest design languages, giving them a comprehensive and vivid explanation of the architecture design concept that buildings are created for people.
