In effective animation programming, one must be able to rely on theoretical knowledge as well as research-based insights in applicability. This updated version of Animation Maths contains an overview of both.
In addition to exploring collision detection, it also puts forward a discussion of programmable kinematics. These physics of motion, designed to complement programming, offer an invaluable tool in adding realism to games and animations. Furthermore, screen effects and image handling are taken to a professional level by a detailed outline of all the basic transformations.
The uniqueness of this book lies in its calculus-free approach. In order to cover the basics of the discipline, Animation Maths contains a brief summary of the fundamentals in arithmetics, solving systems and trigonometry. Animation Maths is accompanied by the website www.animationmaths.be which contains online support and useful downloads.
"Animation Maths achieves a perfect balance between deductive mathematics and broad accessibility, particularly through its interactive companion site." Leo Storme (Pure Mathematics and Computer Algebra, UGent) "With Animation Maths, Ivo De Pauw and Bieke Masselis present motion related mathematical subjects, ranging from trigonometry to quaternions and kinematics in an understandable fashion. It's a true game developers toolkit." Fries Carton (Guerrilla Games, Amsterdam)
A négliger l'étude du langage pour aller directement aux choses, on ne fait que projeter dans l'être l'ombre portée du discours, de ses éléments, de ses articulations. Soutenu par cette conviction, Guillaume d'Ockham mène, au début du XIVe siècle, une analyse critique minutieuse des catégories logiques et métaphysiques léguées par Aristote, Porphyre et Boèce : entreprise de déréalisation qui ne conduit pas à un enfermement dans le langage, mais tout au contraire à une étude rigoureuse des modes selon lesquels les signes verbaux et conceptuels se rapportent aux choses existantes, dans leur réalité singulière. Les deux premières parties du troisième et dernier traité de la Somme de Logique correspondent aux Analytiques d'Aristote. L'étude du syllogisme en général est menée de façon systématique. II s'agit, en s'aidant de nombreux exemples, d'évaluer la validité des différentes combinaisons, selon les figures et modes traditionnels, mais aussi selon les diverses sortes de propositions. La théorie de la démonstration est quant à elle reformulée sur la base de la métaphysique de l'étant singulier et contingent, de la théorie de la connaissance comme contact direct avec la chose connue, et d'une conception purement logique de la nécessité.
In a study inspired by author's observation of the spiraling out of control use of mathematics by bankers, financiers and economists, the Western world's reliance on arithmetic and geometry is traced back, with support from the works of Medieval historian Alfred Crosby and of Anthropologist of Knowledge Paul Jorion, to its Medieval and Antiquity roots. The author bases on different areas such as philosophy with François Jullien's Chinese thought and Michel Bitbol with his epistemological reflections.
This cahier contains almost all the contributions to the two day meeting, commemorating the 70th year of the publication of Quine's seminal paper « New Foundations for Mathematical Logic », in which he describes for the first time the remarkable set theory NF. It contains also some other contributions which were prompted by this meeting.
This meeting follows the 50th meeting held in Oberwolfach in 1987, organized by M. Boffa and E. Specker in the presence of Quine, and the 60th anniversary meeting in Cambridge in 1997.
The two first papers are concerned with permutation techniques and unstratified formulae.
Next, R. M. Holmes shows a model of type theory wherein all elements are the denotations of closed terms.
In the two following articles, M. Crabbé and S. Tupailo show how to export results arising in NF to standard set theory.
Then, A. Tzouvaras explores different combinatorial techniques in order to reduce the consistency problem of NF.
The cahier ends with a tutorial on Constructive NF by T. E. Forster.
If you could be invisible, what would you do? The chances are that it would have something to do with power, wealth or sex. Perhaps all three.
But there's no need to feel guilty. Impulses like these have always been at the heart of our fascination with invisibility: it points to realms beyond our senses, serves as a receptacle for fears and dreams, and hints at worlds where other rules apply. Invisibility is a mighty power and a terrible curse, a sexual promise, a spiritual condition.
This is a history of humanity's turbulent relationship with the invisible. It takes on the myths and morals of Plato, the occult obsessions of the Middle Ages, the trickeries and illusions of stage magic, the auras and ethers of Victorian physics, military strategies to camouflage armies and ships and the discovery of invisibly small worlds.
From the medieval to the cutting-edge, fairy tales to telecommunications, from beliefs about the supernatural to the discovery of dark energy, Philip Ball reveals the universe of the invisible.
"Lorsque la poésie critique entre en action dans la critique poétique, la chance d apprendre à penser mieux, c est-à-dire librement, s accroît. Les équations du bien penser et du bien parler s enivrent jusqu à faire surgir un écrire tendant vers l infini dans une explosion des temps. C est pareille tempête que nous propose la poésie de José Muchnik, nous invitant à « palper » de tout notre être-lecteur. (Traduction de l espagnol de Sara Yamila Muchnik et Yann Ludovic Henaff)"
Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management.
The three volumes of the Combinatorial Optimization series aims to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization.
«Paradigms of Combinatorial Optimization» is divided in two parts:
- Paradigmatic Problems, that handles several famous combinatorial optimization problems as max cut, min coloring, optimal satisfiability tsp, etc., the study of which has largely contributed to both the development, the legitimization and the establishment of the Combinatorial Optimization as one of the most active actual scientific domains;
- Classical and New Approaches, that presents the several methodological approaches that fertilize and are fertilized by Combinatorial optimization such as: Polynomial Approximation, Online Computation, Robustness, etc., and, more recently, Algorithmic Game Theory.
A wander down the corridors of the Institut Henri Poincaré, the French "house of mathematics", might provide a few answers. Mathematician Cédric Villani and physicist Jean-Philippe Uzan invite you to explore their universe and the people init. Vincent Moncorgé's stunning photos guide you through the often mysterious process of how science happens.
The many aspects of mathematics, be they scientific, aesthetic, poetic, are presented from a variety of perspectives : the abundant sources of inspiration for researchers, the deep well of their creativity, the imaginary world of mathematics in literature and art, not forgetting the mathematicians themselves.
Travel to the heart of this mathematical haven, a French-style campus attracting hundreds of visiting researchers from around the world. Known for its scientific emulation and discussions, this unique institution is a key contributor to the reputation of the French mathematical school.
MATHEMATICS IN CHINESE is aimed at Chinese language students with an elementary proficiency who want to be able to use Chinese to communicate about numbers, geometrical objects, coordinates, mathematical models, statistics, probabilities and calendars.
The book contains Chinese-English and English-Chinese lexicons.
MATHÉMATIQUES EN CHINOIS s'adresse aux élèves et étudiants qui possèdent un niveau élémentaire en chinois et souhaitent pouvoir communiquer dans cette langue sur les nombres, les objets géométriques, les coordonnées, les modèles mathématiques, les statistiques, les probabilités et les calendriers.
Ce livre contient des lexiques chinois-français et français-chinois.
Is headbanging a mathematical certainty? Can you turn a pile of batteries into a new proof? Can you use a cannon to beat Googol? What does a mathematician have against giant peas?
In his first book, David Eelbode uses mathematics - served with a more than generous splash of humour - to answer these questions, and much more. Using space as a metaphor and a captivating thread, he invites you to embark on a delightful trip to an absurd universe, where numbers and formulas meet low flying pianos and drunk wombats. So buckle up for this funny voyage to Planet Maths and its inhabitants!
The significance of the existence of the system is to realize its function and maintain its stability, that is, the reliability and stability of the reliability. Reliability is affected by factors, component properties and system structure, and its changes are complex. In order to solve this problem, the authors proposed the space fault tree theory in 2012. This book is the first time that the fundamental part of the theory has been presented internationally. The authors of the book are Pro. Tiejun Cui and Dr. Shasha Li.
Henry Ernest Dudeney (1857-1930) was an English author and mathematician who specialised in logic puzzles and mathematical games. He is known as one of the country's foremost creators of puzzles.
The Canterbury Puzzles and Other Curious Problems is a 1907 mathematical puzzle book by Henry Dudeney. The first part of the book features a series of puzzles based on the characters from The Canterbury Tales by Geoffery Chaucer.
The ebook contains illustrations, explanations and answers to each puzzle and is still actual in testing your mathematical skills and your capacity of problem solving.
HISTORICAL PRESS OPINIONS ON "THE CANTERBURY PUZZLES":
"It is a book of remarkable ingenuity and interest."-Educational Times.
"The most ingenious brain in England ... a fascinating new book."-Evening News.
"A capital book of posers."-Daily News.
"The Puzzles ... reach the limit of ingenuity and intricacy; and it is well for the sanity of his readers that the author gives a list of solutions at the end of the book."-Observer.
"A book that will provide much entertainment for Christmas gatherings ... ingenious puzzles and problems invented by 'Sphinx,' the Puzzle King."-The Captain.
"Mr. Dudeney, whose reputation is world-wide as the puzzle and problem maker of the age ... sure to find a wide circulation ... as attractive in appearance as its contents are fascinating."-English Mechanic and World of Science.
"An exceedingly ingenious constructor and solver of fascinating puzzles, mathematical and otherwise."-School Guardian.
"A book which ought to be highly popular ... it is all mighty ingenious, and very intelligently put before the reader."-Sheffield Telegraph.
"It is matter for delight that Mr. Henry E. Dudeney has collected into a volume those mysterious puzzles of his which have appeared in many journals ... contains quite a number of ingenious new mental problems ... a valuable introduction."-The Lady.
"For the long winter evenings Mr. Dudeney's book of puzzledom is to be recommended. Mr. Dudeney has made a study of every kind of puzzle there is ... he supplies you with every kind of brain-twister."-The Daily Chronicle.
"Took up more of the reviewer's time than he could well afford to give it; he wanted to solve some of the curious problems that it contains, and for ingenious persons who want employment on a wet day, he promises from it abundant scope."-Yorkshire Post.
"A well-known master puzzler ... provides an abundance of seasonable occupation for the ingenious, with an introduction on the general question of puzzles, which is one of the most interesting parts of the book. He is a skilful inventor."-Nottingham Guardian.
"Will enjoy the entertainment provided ... ingenious and witty."-The Guardian.
"Extremely ingenious book, which abounds in problems that will keep the reader busy for hours-until in despair he turns to the answers at the end."-Manchester Guardian.
"The setting of these perplexities is novel ... a dramatic background being thus provided which prevents too great aridity.... The book should be much in request."-The Morning Leader.
The book consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII .Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics.
Appendices provide useful lists of symbols and tables for ready reference.
The publisher's hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.
Linear systems have all the necessary elements (modeling, identification, analysis and control), from an educational point of view, to help us understand the discipline of automation and apply it efficiently. This book is progressive and organized in such a way that different levels of readership are possible. It is addressed both to beginners and those with a good understanding of automation wishing to enhance their knowledge on the subject. The theory is rigorously developed and illustrated by numerous examples which can be reproduced with the help of appropriate computation software. 60 exercises and their solutions are included to enable the readers to test and enhance their knowledge.