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📒Active Geometry ✍ A. David Thomas
✏Active Geometry Book Summary : Written by a nationally known mathematics educator, this lab manual provides activities for students using free/shareware software tools. Active Geometry offers inquiry-based, student-centered, technology-rich topical investigations into the study of geometry. The tools that Thomas includes leads students to construct, observe, conjecture, and debate their thinking. After completing the labs, students are ready for and appreciative of analytic explanations of geometric concepts.
📒Mode Locking Of An Active Multipass Geometry ✍ Joerg Neuhaus
✏Mode Locking of an Active Multipass Geometry Book Summary : Ultrashort laser pulses in the microjoule regime are of prime importance for manyapplications. Previous record pulse energiesobtained directly from an oscillator in ambient atmosphere were below 2 Î1⁄4J. This thesis describes a newly developed thin-disk laser oscillator with an increasedround-trip gain by employing a self-imaging active multipass geometry. The generationof high energy subpicosecond pulses with a pulse energy of up to 25.9 Î1⁄4J at apulse duration of 928 fs, while operated in ambient atmosphere, could be demonstrated.Stable single-pulse operation has been obtained with an average outputpower in excess of 76W at a repetition rate of 2.93MHz. Self starting passive modelockingwas accomplished using a semiconductor saturable absorber mirror (SESAM)with a modulation depth of 3.5%. The laser was operated at output-coupling rates ofup to 78%.
📒Geometry Language And Strategy ✍ Gerald H Thomas
✏Geometry Language and Strategy Book Summary : The first volume, Geometry, Language and Strategy, extended the concepts of Game Theory, replacing static equilibrium with a deterministic dynamic theory. The first volume opened up many applications that were only briefly touched on. To study the consequences of the deterministic approach in contrast to standard Bayesian approaches, the richness of applications, requires an engineering foundation and discipline, which this volume supplies. It provides a richer list of applications, such as the Prisoner's Dilemma, which extends the resonant behavior of Vol. 1 to more general time-dependent and transient behaviors.
📒Geometry Language And Strategy ✍ Gerald Harper Thomas
✏Geometry Language and Strategy Book Summary : Geometry, Language and Strategy is a way of looking at game theory or strategic decision-making from a scientific perspective, using standard equations from the fields of engineering and physics. To better approximate reality, it extends game theory beyond the two-player set piece.The book begins where former game theory literature ends ? with multi-person games on a world stage. It encompasses many of the variables encountered in strategic planning, using mathematics borrowed from physics and engineering, rather than the economic models which have not proven to be good in predicting reality.
📒Kinematic Geometry Of Surface Machining ✍ Stephen P. Radzevich
✏Kinematic Geometry of Surface Machining Book Summary : The principle of Occam’s razor loosely translates to “the simplest solution is often the best”. The author of Kinematic Geometry of Surface Machining utilizes this reductionist philosophy to provide a solution to the highly inefficient process of machining sculptured parts on multi-axis NC machines. He has developed a method to quickly calculate the necessary parameters, greatly reduce trial and error, and achieve efficient machining processes by using less input information, and in turn saving a great deal of time. This unique method will allow youto calculate optimal values for all major parameters of sculptured surface machining on multi-axis NC machines.It is much faster than conventional methods because it requires only minimal input information for the development of extremely efficient machining operations. Radzevich simply utilizes the geometric information of a particular part surface to be machined for developing optimal surface machining process rather than wasting time dealing with unnecessary data. This one-of-a-kind resource guides you through this cutting-edge technique beginning with an analytical description of part surfaces, the basics of differential geometry for sculptured surfaces, and the principal elements of the multi-parametric motion on a rigid body in E3 space theory. The book reveals the analytical method for investigating cutting tool geometry and explains a set of described conditions required for proper part surface generation. Next, the author illustrates the selection of criterion for optimization and describes the synthesis of optimal machining operations. He includes examples of the DG/K based method of surface generation implementation. Written by a leading expert in the field who holds over 150 patents, Kinematic Geometry of Surface Machining invokes Occam’s well-known philosophical principle so that you can apply the simplest solution to achieve optimal, time-saving surface machining processes.
✏Geometry and Topology in Active and Driven Systems Book Summary :
📒Face Geometry And Appearance Modeling ✍ Zicheng Liu
✏Face Geometry and Appearance Modeling Book Summary : Human faces are familiar to our visual systems. We easily recognize a person's face in arbitrary lighting conditions and in a variety of poses; detect small appearance changes; and notice subtle expression details. Can computer vision systems process face images as well as human vision systems can? Face image processing has potential applications in surveillance, image and video search, social networking and other domains. A comprehensive guide to this fascinating topic, this book provides a systematic description of modeling face geometry and appearance from images, including information on mathematical tools, physical concepts, image processing and computer vision techniques, and concrete prototype systems. The book will be an excellent reference for researchers and graduate students in computer vision, computer graphics and multimedia, as well as application developers who would like to gain a better understanding of the state of the art.
📒Invitations To Geometry And Topology ✍ Martin R. Bridson
✏Invitations to Geometry and Topology Book Summary : This volume presents an array of topics that introduce the reader to key ideas in active areas in geometry and topology. The material is presented in a way that both graduate students and researchers should find accessible and enticing. The topics covered range from Morse theory and complex geometry theory to geometric group theory, and are accompanied by exercises that are designed to deepen the reader's understanding and to guide them in exciting directions for future investigation. The editors, M.R. Bridson and S.M. Salamon, have each written an article and are accompanied by A.J. Berrick; M.C. Crabb and A.J.B Potter; M. Eastwood and J. Sawon; M.A. Guest; N.J. Hitchin and J.Seade.
📒Algorithms In Combinatorial Geometry ✍ Herbert Edelsbrunner
✏Algorithms in Combinatorial Geometry Book Summary : Computational geometry as an area of research in its own right emerged in the early seventies of this century. Right from the beginning, it was obvious that strong connections of various kinds exist to questions studied in the considerably older field of combinatorial geometry. For example, the combinatorial structure of a geometric problem usually decides which algorithmic method solves the problem most efficiently. Furthermore, the analysis of an algorithm often requires a great deal of combinatorial knowledge. As it turns out, however, the connection between the two research areas commonly referred to as computa tional geometry and combinatorial geometry is not as lop-sided as it appears. Indeed, the interest in computational issues in geometry gives a new and con structive direction to the combinatorial study of geometry. It is the intention of this book to demonstrate that computational and com binatorial investigations in geometry are doomed to profit from each other. To reach this goal, I designed this book to consist of three parts, acorn binatorial part, a computational part, and one that presents applications of the results of the first two parts. The choice of the topics covered in this book was guided by my attempt to describe the most fundamental algorithms in computational geometry that have an interesting combinatorial structure. In this early stage geometric transforms played an important role as they reveal connections between seemingly unrelated problems and thus help to structure the field.
📒Geometry Turned On ✍ James King
✏Geometry Turned On Book Summary : Articles about the uses of active, exploratory geometry carried out with interactive computer software.