1. Physics in Flat Spacetime: Geometric Viewpoint 1.1 Overview 1.2 Foundational Concepts 1.3 Tensor Algebra Without a Coordinate System 1.4 Particle Kinetics and Lorentz Force Without a Reference Frame 1.5 Component Representation of Tensor Algebra
We present new forensic tools that are capable of detecting traces of tampering in digital video without the use of watermarks or specialized hardware. These tools operate under the assumption that video contain naturally occurring properties which
This concise, yet thorough, book is enhanced with simulations and graphs to build the intuition of readers Models for Probability and Statistical Inference was written over a five-year period and serves as a comprehensive treatment of the fundamenta
Information geometry provides the mathematical sciences with a new framework of analysis. It has emerged from the investigation of the natural differential geometric structure on manifolds of probability distributions, which consists of a Riemannian
This course introduces the student to the ideas of discrete differential geometry, geometric modeling, and physical simulation. The student will learn about continuous and discrete differential geometric operators, and apply this knowledge to build
Signal processing and neural computation have separately and significantly influenced many disciplines, but the cross-fertilization of the two fields has begun only recently. Research now shows that each has much to teach the other, as we see highly
FROM MIT Course Descr iption This course introduces students to probability and random variables. Topics include distribution functions, binomial, geometric, hypergeometric, and Poisson distributions. The other topics covered are uniform, exponentia
This book, immediately striking for its conciseness, is one of the most remarkable works ever produced on the subject of algebraic functions and their integrals. The distinguishing feature of the book is its third chapter, on rational functions, whi
OpenGOpenGL编程初步 OpenGL is the most widely available graphics programming library, and is used for almost every discipline of computer graphics: research, scientific visualization, entertainment and visual effects, computer-aided design, interactive