Download or read book Development of N version Software Samples for an Experiment in Software Fault Tolerance written by and published by . This book was released on 1987 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Pascal s Arithmetical Triangle written by A.W.F. Edwards and published by Courier Dover Publications. This book was released on 2019-06-12 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An impressive culmination of meticulous research into original sources, this definitive study constitutes the first full-length history of the Arithmetic Triangle." — Mathematics of Computation Pascal's Arithmetical Triangle was named for the seventeenth-century French philosopher/mathematician Blaise Pascal, though he did not invent it. A never-ending equilateral triangle of numbers that follow the rule of adding the two numbers above to get the number below, it appears much earlier in the literature of Hindu and Arabic mathematics and continues to fascinate Western mathematicians. Two sides are comprised of "all 1s," and because the triangle is infinite, there is no "bottom side." This book by A. W. F. Edwards, Professor of Biometry at the University of Cambridge, explores Pascal's Arithmetical Triangle and the way it has been studied, enjoyed, and used by mathematicians throughout history. "A fascinating book...giving new insights into the early history of probability theory and combinatorics and incidentally providing much stimulating material for teachers of mathematics." — G. A. Bernard, International Statistical Institute Review "Scrupulously researched . . . carries the reader along in a rewarding manner. It is a scientific who-dun-it and one must admire the author for the scholarly yet unpedantic manner in which he disperses some of the mists of antiquity." — A. W. Kemp, Biometrics "Recommended not only to historians and mathematicians, but also to students seeking to put some life into the dry treatment of these topics to which they have doubtless been subjected." — Ivor Grattan-Guinness, Annals of Science
Download or read book Computational Science and Its Applications ICCSA 2021 written by Osvaldo Gervasi and published by Springer Nature. This book was released on 2021-09-10 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ten-volume set LNCS 12949 – 12958 constitutes the proceedings of the 21st International Conference on Computational Science and Its Applications, ICCSA 2021, which was held in Cagliari, Italy, during September 13 – 16, 2021. The event was organized in a hybrid mode due to the Covid-19 pandemic.The 466 full and 18 short papers presented in these proceedings were carefully reviewed and selected from 1588 submissions. The books cover such topics as multicore architectures, blockchain, mobile and wireless security, sensor networks, open source software, collaborative and social computing systems and tools, cryptography, applied mathematics human computer interaction, software design engineering, and others. Part IV of the set includes the papers on Urban and Regional Planning and the proceedings of the following workshops: International Workshop on Blockchain and Distributed Ledgers: Technologies and Applications (BDLTA 2021); International Workshop on Computational and Applied Mathematics (CAM 2021); International Workshop on Computational and Applied Statistics (CAS 2021); International Workshop on Computerized Evaluation of Economic Activities: Urban Spaces (CEEA 2021).The chapters "Automated Housing Price Valuation and Spatial Data", "Spatial Automated Valuation Model (sAVM) – From the Notion of Space to the Design of an Evaluation Tool", and "A MCDA/GIS-Based Approach for Evaluating Accessibility to Health Facilities" are published open access under a CC BY license (Creative Commons Attribution 4.0 International License).
Download or read book Mathematical Reflections written by Peter Hilton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: A relaxed and informal presentation conveying the joy of mathematical discovery and insight. Frequent questions lead readers to see mathematics as an accessible world of thought, where understanding can turn opaque formulae into beautiful and meaningful ideas. The text presents eight topics that illustrate the unity of mathematical thought as well as the diversity of mathematical ideas. Drawn from both "pure" and "applied" mathematics, they include: spirals in nature and in mathematics; the modern topic of fractals and the ancient topic of Fibonacci numbers; Pascals Triangle and paper folding; modular arithmetic and the arithmetic of the infinite. The final chapter presents some ideas about how mathematics should be done, and hence, how it should be taught. Presenting many recent discoveries that lead to interesting open questions, the book can serve as the main text in courses dealing with contemporary mathematical topics or as enrichment for other courses. It can also be read with pleasure by anyone interested in the intellectually intriguing aspects of mathematics.
Download or read book The Messenger of Mathematics written by and published by . This book was released on 1907 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Journal of American Indian Family Research Vol XIII No 1 1992 written by and published by HISTREE. This book was released on with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Mathematics of Harmony written by Alekse? Petrovich Stakhov and published by World Scientific. This book was released on 2009 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assisted by Scott Olsen (Central Florida Community College, USA) This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the ?Mathematics of Harmony,? a new interdisciplinary direction of modern science. This direction has its origins in ?The Elements? of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the ?golden? algebraic equations, the generalized Binet formulas, Fibonacci and ?golden? matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and ?golden? matrices).The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.
Download or read book The Discrete Math Workbook written by Sergei Kurgalin and published by Springer. This book was released on 2018-07-31 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practically-oriented textbook presents an accessible introduction to discrete mathematics through a substantial collection of classroom-tested exercises. Each chapter opens with concise coverage of the theory underlying the topic, reviewing the basic concepts and establishing the terminology, as well as providing the key formulae and instructions on their use. This is then followed by a detailed account of the most common problems in the area, before the reader is invited to practice solving such problems for themselves through a varied series of questions and assignments. Topics and features: provides an extensive set of exercises and examples of varying levels of complexity, suitable for both laboratory practical training and self-study; offers detailed solutions to many problems, applying commonly-used methods and computational schemes; introduces the fundamentals of mathematical logic, the theory of algorithms, Boolean algebra, graph theory, sets, relations, functions, and combinatorics; presents more advanced material on the design and analysis of algorithms, including asymptotic analysis, and parallel algorithms; includes reference lists of trigonometric and finite summation formulae in an appendix, together with basic rules for differential and integral calculus. This hands-on study guide is designed to address the core needs of undergraduate students training in computer science, informatics, and electronic engineering, emphasizing the skills required to develop and implement an algorithm in a specific programming language.
Download or read book Some Sine and Cosine Identities Obtained from Pascal s Triangle written by Christopher Schwaner and published by Dorrance Publishing. This book was released on 2012-04 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trigonometric identities were used to simplify expressions of trigonometric functions. Pascal¿s triangle is a triangular arrangement of binomial coefficients. Could it be possible to marry this two? Dr. Christopher White and Dr. Christopher Schwaner explored a new way of using Pascal¿s triangle to find sine and cosine identities by developing formulas and showing procedures to prove how it could be possible. Read on and be amazed at what these brilliant authors came up with.
Download or read book Indian Affairs written by United States and published by . This book was released on 1904 with total page 1116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Mathematics of Voting and Elections written by Jonathan K. Hodge and published by American Mathematical Soc.. This book was released on 2005 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Voting and Elections: A Hands-on Approach will help you discover answers to these and many other questions. Easily accessible to anyone interested in the subject, the book requires virtually no prior mathematical experience beyond basic arithmetic, and includes numerous examples and discussions regarding actual elections from politics and popular culture.
Download or read book Feature Extraction and Image Processing written by Mark Nixon and published by Elsevier. This book was released on 2013-10-22 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on feature extraction while also covering issues and techniques such as image acquisition, sampling theory, point operations and low-level feature extraction, the authors have a clear and coherent approach that will appeal to a wide range of students and professionals. - Ideal module text for courses in artificial intelligence, image processing and computer vision - Essential reading for engineers and academics working in this cutting-edge field - Supported by free software on a companion website
Download or read book Feature Extraction and Image Processing for Computer Vision written by Mark Nixon and published by Academic Press. This book was released on 2019-11-17 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Feature Extraction for Image Processing and Computer Vision is an essential guide to the implementation of image processing and computer vision techniques, with tutorial introductions and sample code in MATLAB and Python. Algorithms are presented and fully explained to enable complete understanding of the methods and techniques demonstrated. As one reviewer noted, "The main strength of the proposed book is the link between theory and exemplar code of the algorithms." Essential background theory is carefully explained. This text gives students and researchers in image processing and computer vision a complete introduction to classic and state-of-the art methods in feature extraction together with practical guidance on their implementation. - The only text to concentrate on feature extraction with working implementation and worked through mathematical derivations and algorithmic methods - A thorough overview of available feature extraction methods including essential background theory, shape methods, texture and deep learning - Up to date coverage of interest point detection, feature extraction and description and image representation (including frequency domain and colour) - Good balance between providing a mathematical background and practical implementation - Detailed and explanatory of algorithms in MATLAB and Python
Download or read book Infinite Series in a History of Analysis written by Hans-Heinrich Körle and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-09-25 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Higher mathematics" once pointed towards the involvement of infinity. This we label analysis. The ancient Greeks had helped it to a first high point when they mastered the infinite. The book traces the history of analysis along the risky route of serial procedures through antiquity. It took quite long for this type of mathematics to revive in our region. When and where it did, infinite series proved the driving force. Not until a good two millennia had gone by, would analysis head towards Greek rigor again. To follow all that trial, error and final accomplishment, is more than studying history: It provides touching, worthwhile access to advanced calculus. Moreover, some steps beyond convergence show infinite series to naturally fit a wider frame.
Download or read book Programming Your Own Adventure Games in Pascal written by Richard C. Vile and published by . This book was released on 1984 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Dynamics Perspective Of Wolfram s New Kind Of Science A Volume Iii written by Leon O Chua and published by World Scientific. This book was released on 2009-08-11 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume III continues the author's quest for developing a pedagogical, self-contained, yet rigorous analytical theory of 1-D cellular automata via a nonlinear dynamics perspective. Using carefully conceived and illuminating color graphics, the global dynamical behaviors of the 50 (out of 256) local rules that have not yet been covered in Volumes I and II are exposed via their stunningly revealing basin tree diagrams. The Bernoulli στ-shift dynamics discovered in Volume II is generalized to hold for all 50 (or 18 globally equivalent) local rules via complex and hyper Bernoulli wave dynamics. Explicit global state transition formulas derived for rules 60, 90, 105, and 150 reveal a new scale-free phenomenon. The most surprising new result unveiled in this volume is the “Isle of Eden” found hidden in most (almost 90%) of the 256 local rules. Readers are challenged to hunt for long-period, isolated Isles of Eden. These are rare gems waiting to be discovered.
Download or read book Differential Geometry and Its Visualization written by Eberhard Malkowsky and published by CRC Press. This book was released on 2023-08-30 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving both students and teachers. It can also be used as a supplementary reference for research in mathematics and the natural and engineering sciences. Differential geometry is the study of geometric objects and their properties using the methods of mathematical analysis. The classical theory of curves and surfaces in three-dimensional Euclidean space is presented in the first three chapters. The abstract and modern topics of tensor algebra, Riemannian spaces and tensor analysis are studied in the last two chapters. A great number of illustrating examples, visualizations and genuine figures created by the authors’ own software are included to support the understanding of the presented concepts and results, and to develop an adequate perception of the shapes of geometric objects, their properties and the relations between them. Features Extensive, full colour visualisations. Numerous exercises. Self-contained and comprehensive treatment of the topic.
