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Discrete Geometry for Computer Imagery
by Nicolas Normand Jeanpierre Guédon Florent AutrusseauThisbook constitutes the refereed proceedings of the 19th IAPR InternationalConference on Discrete Geometry for Computer Imagery, DGCI 2016, held in Nantes,France, in April 2016. The 32 revised full papers presented together with 2invited talks were carefully selected from 51 submissions. The papers areorganized in topical sections on combinatorial tools; discretization; discretetomography; discrete and combinatorial topology; shape descriptors; models fordiscrete geometry; circle drawing; morphological analysis; geometrictransforms; and discrete shape representation, recognition and analysis.
The Discrete Math Workbook: A Companion Manual for Practical Study (Texts in Computer Science)
by Sergei Kurgalin Sergei BorzunovThis 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.
The Discrete Math Workbook: A Companion Manual Using Python (Texts in Computer Science)
by Sergei Kurgalin Sergei BorzunovThis practically-focused study guide introduces the fundamentals of discrete mathematics through an extensive set of classroom-tested problems. Each chapter presents a concise introduction to the relevant theory, followed by a detailed account of common challenges and methods for overcoming these. The reader is then encouraged to practice solving such problems for themselves, by tackling a varied selection of questions and assignments of different levels of complexity.This updated second edition now covers the design and analysis of algorithms using Python, and features more than 50 new problems, complete with solutions.Topics and features: provides a substantial collection of problems and examples of varying levels of difficulty, suitable for both laboratory practical training and self-study; offers detailed solutions to each problem, 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 Turing machines, 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 workbook is an invaluable resource for undergraduate students of computer science, informatics, and electronic engineering. Suitable for use in a one- or two-semester course on discrete mathematics, the text emphasizes the skills required to develop and implement an algorithm in a specific programming language.
Discrete Mathematical Structures: A Succinct Foundation (Mathematics and its Applications)
by B. V. Kumar Hemen DuttaThis book contains fundamental concepts on discrete mathematical structures in an easy to understand style so that the reader can grasp the contents and explanation easily. The concepts of discrete mathematical structures have application to computer science, engineering and information technology including in coding techniques, switching circuits, pointers and linked allocation, error corrections, as well as in data networking, Chemistry, Biology and many other scientific areas. The book is for undergraduate and graduate levels learners and educators associated with various courses and progammes in Mathematics, Computer Science, Engineering and Information Technology. The book should serve as a text and reference guide to many undergraduate and graduate programmes offered by many institutions including colleges and universities. Readers will find solved examples and end of chapter exercises to enhance reader comprehension. Features Offers comprehensive coverage of basic ideas of Logic, Mathematical Induction, Graph Theory, Algebraic Structures and Lattices and Boolean Algebra Provides end of chapter solved examples and practice problems Delivers materials on valid arguments and rules of inference with illustrations Focuses on algebraic structures to enable the reader to work with discrete structures
Discrete Mathematics: Proofs, Structures and Applications, Third Edition
by Rowan Garnier John TaylorTaking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science. The approach is comprehensive yet maintains an easy-to-follow prog
Discrete Mathematics: A Concise Introduction (Synthesis Lectures on Mathematics & Statistics)
by George TourlakisThis book is ideal for a first or second year discrete mathematics course for mathematics, engineering, and computer science majors. The author has extensively class-tested early conceptions of the book over the years and supplements mathematical arguments with informal discussions to aid readers in understanding the presented topics. “Safe” – that is, paradox-free – informal set theory is introduced following on the heels of Russell’s Paradox as well as the topics of finite, countable, and uncountable sets with an exposition and use of Cantor’s diagonalisation technique. Predicate logic “for the user” is introduced along with axioms and rules and extensive examples. Partial orders and the minimal condition are studied in detail with the latter shown to be equivalent to the induction principle. Mathematical induction is illustrated with several examples and is followed by a thorough exposition of inductive definitions of functions and sets. Techniques for solving recurrence relations including generating functions, the O- and o-notations, and trees are provided. Over 200 end of chapter exercises are included to further aid in the understanding and applications of discrete mathematics.
Discrete Mathematics and Applications (Springer Optimization and Its Applications #165)
by Andrei M. Raigorodskii Michael Th. RassiasAdvances in discrete mathematics are presented in this book with applications in theoretical mathematics and interdisciplinary research. Each chapter presents new methods and techniques by leading experts. Unifying interdisciplinary applications, problems, and approaches of discrete mathematics, this book connects topics in graph theory, combinatorics, number theory, cryptography, dynamical systems, finance, optimization, and game theory. Graduate students and researchers in optimization, mathematics, computer science, economics, and physics will find the wide range of interdisciplinary topics, methods, and applications covered in this book engaging and useful.
Discrete Mathematics and Applications, Second Edition (Textbooks in Mathematics)
by Kevin FerlandThis book is intended for a one-semester course in discrete mathematics. Such a course is typically taken by mathematics, mathematics education, and computer science majors, usually in their sophomore year. Calculus is not a prerequisite to use this book. Part one focuses on how to write proofs, then moves on to topics in number theory, employing set theory in the process. Part two focuses on computations, combinatorics, graph theory, trees, and algorithms.
Discrete Mathematics and Graph Theory: A Concise Study Companion and Guide (Undergraduate Topics in Computer Science)
by K. ErciyesThis textbook can serve as a comprehensive manual of discrete mathematics and graph theory for non-Computer Science majors; as a reference and study aid for professionals and researchers who have not taken any discrete math course before. It can also be used as a reference book for a course on Discrete Mathematics in Computer Science or Mathematics curricula. The study of discrete mathematics is one of the first courses on curricula in various disciplines such as Computer Science, Mathematics and Engineering education practices. Graphs are key data structures used to represent networks, chemical structures, games etc. and are increasingly used more in various applications such as bioinformatics and the Internet. Graph theory has gone through an unprecedented growth in the last few decades both in terms of theory and implementations; hence it deserves a thorough treatment which is not adequately found in any other contemporary books on discrete mathematics, whereas about 40% of this textbook is devoted to graph theory. The text follows an algorithmic approach for discrete mathematics and graph problems where applicable, to reinforce learning and to show how to implement the concepts in real-world applications.
Discrete Mathematics and Its Applications Seventh Edition
by Kenneth H. RosenDiscrete Mathematics and Its Applications, Seventh Edition, is intended for one or two term introductory Discrete Mathematics courses taken by students from a wide variety of majors, including Computer Science, Mathematics, and Engineering.
Discrete Mathematics and Mathematical Modelling in the Digital Era: ICDM3DE-2023, Gandhigram, India, March 23–25 (Springer Proceedings in Mathematics & Statistics #458)
by P. Balasubramaniam P. Raveendran G. Mahadevan K. RatnaveluThis book features carefully selected research papers presented during the 9th International Conference on Discrete Mathematics and Mathematical Modelling in the Digital Era (ICDMMMDE-2023). The conference, organised at the Department of Mathematics, The Gandhigram Rural Institute in Gandhigram, Tamil Nadu, India, took place from 23–25 March 2023. Serving as a dynamic platform, the event attracted emerging researchers, mathematicians, industrialists, scientists, and engineers from across the globe, fostering discussions on pertinent research topics. This volume showcases noteworthy contributions from esteemed researchers within the realm of discrete mathematics and mathematical modeling, meticulously subjected to a rigorous peer-review process for publication. The included papers delve into diverse subjects, including controllability, image processing, topology, graph theory, fuzzy delay differential equations, analysis, queuing theory, and applications in networks and biology. Theculmination of these contributions forms a comprehensive and authoritative resource for scholars and professionals alike.
Discrete Mathematics for Computing (3rd Edition)
by Peter Grossman<p>Palgrave Macmillan Discrete Mathematics for Computing is suitable for students taking a one-semester introductory course in discrete mathematics, particularly those studying Computing and Informations Systems. It presents the essential mathematics needed for computing in a style suitable for students with only a moderate background in the subject. <p>Material is introduced at a gentle pace and in an informal style, without compromising mathematical integrity. The text includes many examples of how the theory is applied to problems in computing. This third edition includes: a new expanded section on encryption, additional examples to illustrate key concepts, new exercises at a variety of levels. <p>Peter Grossman has worked in universities and industry as a mathematician and computing professional. As a lecturer in mathematics, he was responsible for coordinating and developing mathematics courses for computing students. He has applied his skills in areas as diverse as calculator design, irrigation systems and underground mine layouts.
Discrete Mathematics with Coding (Textbooks in Mathematics)
by Hugo D JunghennThis book, for a first undergraduate course in Discrete Mathematics, systematically exploits the relationship between discrete mathematics and computer programming. Unlike most discrete mathematics texts focusing on one of the other, the book explores the rich and important connection between these two disciplines and shows how each discipline reinforces and enhances the other. The mathematics in the book is self-contained, requiring only a good background in precalculus and some mathematical maturity. New mathematical topics are introduced as needed. The coding language used is VBA Excel. The language is easy to learn, has intuitive commands, and the reader can develop interesting programs from the outset. Additionally, the spreadsheet platform in Excel makes for convenient and transparent data input and output and provides a powerful venue for complex data manipulation. Manipulating data is greatly simplified using spreadsheet features and visualizing the data can make programming and debugging easier. The VBA language is seamlessly integrated into the spreadsheet environment with no other resources required. Furthermore, as some of the modules in the book show, intricate patterns, graphs, and animation in the form of moving cells is possible. Features Introduces coding in VBA Excel assuming no previous coding experience. Develops programs in Linear Analysis, Logic, Combinatorics, Probability, and Number Theory. Contains over 90 fully tested and debugged programs. The code for these is as well as the exercises is available on the author's website. Contains numerous examples that gradually introduce the reader to coding techniques. Includes programs that solve systems of linear equations, linear programming problems, combinatorial problems, Venn diagram problems and programs that produce truth tables from logic statements and logic statements from switching and gate circuits, encrypt and decrypt messages and simulate probability experiments.
Discrete Mathematics with Ducks (Textbooks in Mathematics)
by Sarah-Marie Belcastro<p>Discrete Mathematics with Ducks, Second Edition is a gentle introduction for students who find the proofs and abstractions of mathematics challenging. At the same time, it provides stimulating material that instructors can use for more advanced students. The first edition was widely well received, with its whimsical writing style and numerous exercises and materials that engaged students at all levels. <p>The new, expanded edition continues to facilitate effective and active learning. It is designed to help students learn about discrete mathematics through problem-based activities. These are created to inspire students to understand mathematics by actively practicing and doing, which helps students better retain what they’ve learned. As such, each chapter contains a mixture of discovery-based activities, projects, expository text, in-class exercises, and homework problems. The author’s lively and friendly writing style is appealing to both instructors and students alike and encourages readers to learn. The book’s light-hearted approach to the subject is a guiding principle and helps students learn mathematical abstraction.</p>
Discrete Problems in Nature Inspired Algorithms
by Anupam Shukla Ritu TiwariThis book includes introduction of several algorithms which are exclusively for graph based problems, namely combinatorial optimization problems, path formation problems, etc. Each chapter includes the introduction of the basic traditional nature inspired algorithm and discussion of the modified version for discrete algorithms including problems pertaining to discussed algorithms.
Discrete Structures and Their Interactions
by Jason I. BrownDiscover the Connections between Different Structures and FieldsDiscrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics,
Discrete-Time and Discrete-Space Dynamical Systems (Communications and Control Engineering)
by Kuize Zhang Lijun Zhang Lihua XieDiscrete-Time and Discrete-Space Dynamical Systems provides a systematic characterization of the similarities and differences of several types of discrete-time and discrete-space dynamical systems, including:Boolean control networks;nondeterministic finite-transition systems;finite automata;labelled Petri nets; andcellular automata.The book's perspective is primarily based on topological properties though it also employs semitensor-product and graph-theoretic methods where appropriate. It presents a series of fundamental results: invertibility, observability, detectability, reversiblity, etc., with applications to systems biology.Academic researchers with backgrounds in applied mathematics, engineering or computer science and practising engineers working with discrete-time and discrete-space systems will find this book a helpful source of new understanding for this increasingly important class of systems. The basic results to be found within are of fundamental importance for further study of related problems such as automated synthesis and safety control in cyber-physical systems using formal methods.
Discrete Time Systems and Signal Processing
by S. PalaniThis book is designed to serve as a textbook for courses offered to undergraduate students enrolled in the Electrical, Electronics, Communications, and Instrumentation Engineering disciplines. The book presents a clear and comprehensive introduction to digital signal processing. For easier comprehension, the course contents of all the chapters are in sequential order. A variety of examples and solved problems are included in the book to enable application and ease of understanding of theoretical concepts. Every chapter contains several homework problems with answers followed by question-and-answer-type assignments. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in electrical engineering and related programs.
Discriminating Data: Correlation, Neighborhoods, and the New Politics of Recognition
by Wendy Hui ChunHow big data and machine learning encode discrimination and create agitated clusters of comforting rage.In Discriminating Data, Wendy Hui Kyong Chun reveals how polarization is a goal—not an error—within big data and machine learning. These methods, she argues, encode segregation, eugenics, and identity politics through their default assumptions and conditions. Correlation, which grounds big data&’s predictive potential, stems from twentieth-century eugenic attempts to &“breed&” a better future. Recommender systems foster angry clusters of sameness through homophily. Users are &“trained&” to become authentically predictable via a politics and technology of recognition. Machine learning and data analytics thus seek to disrupt the future by making disruption impossible. Chun, who has a background in systems design engineering as well as media studies and cultural theory, explains that although machine learning algorithms may not officially include race as a category, they embed whiteness as a default. Facial recognition technology, for example, relies on the faces of Hollywood celebrities and university undergraduates—groups not famous for their diversity. Homophily emerged as a concept to describe white U.S. resident attitudes to living in biracial yet segregated public housing. Predictive policing technology deploys models trained on studies of predominantly underserved neighborhoods. Trained on selected and often discriminatory or dirty data, these algorithms are only validated if they mirror this data. How can we release ourselves from the vice-like grip of discriminatory data? Chun calls for alternative algorithms, defaults, and interdisciplinary coalitions in order to desegregate networks and foster a more democratic big data.
Discursive Design: Critical, Speculative, and Alternative Things (Design Thinking, Design Theory)
by Bruce M. Tharp Stephanie M. TharpExploring how design can be used for good—prompting self-reflection, igniting the imagination, and affecting positive social change.Good design provides solutions to problems. It improves our buildings, medical equipment, clothing, and kitchen utensils, among other objects. But what if design could also improve societal problems by prompting positive ideological change? In this book, Bruce and Stephanie Tharp survey recent critical design practices and propose a new, more inclusive field of socially minded practice: discursive design. While many consider good design to be unobtrusive, intuitive, invisible, and undemanding intellectually, discursive design instead targets the intellect, prompting self-reflection and igniting the imagination. Discursive design (derived from “discourse”) expands the boundaries of how we can use design—how objects are, in effect, good(s) for thinking. Discursive Design invites us to see objects in a new light, to understand more than their basic form and utility. Beyond the different foci of critical design, speculative design, design fiction, interrogative design, and adversarial design, Bruce and Stephanie Tharp establish a more comprehensive, unifying vision as well as innovative methods. They not only offer social criticism but also explore how objects can, for example, be used by counselors in therapy sessions, by town councils to facilitate a pre-vote discussions, by activists seeking engagement, and by institutions and industry to better understand the values, beliefs, and attitudes of those whom they serve. Discursive design sparks new ways of thinking, and it is only through new thinking that our sociocultural futures can change.
Discursive Disruption, Populist Communication and Democracy: The Cases of Hugo Chávez and Donald J. Trump (Routledge Research in Political Communication)
by Elena BlockIn Discursive Disruption, Populist Communication and Democracy, Elena Block explores the links between declining democratic discourses, populist communication, and reflects on the communicative and moral dimensions of populism. Block proposes the concept of discursive disruption to help to identify, analyze and understand the disruptive power of populist speech, turning to the communicative styles of Venezuela’s late President Hugo Chávez and the US’s President Donald J. Trump to illustrate and support this new conceptual and analytical tool. While the mainstream political class and media traditionally sought to manage the processes of political communication, the book contends that they have now been displaced and their role has been undermined. Middle ground politics and journalism have been substituted by the adversarial rhetorical styles of populists, multiplied through multi-fragmented channels, texts and voices. With this book, Block continues her introspection in the conceptual, communicative and mediatic dimensions of populism by adding a perspective that draws on democratic and discursive theories. Discursive Disruption, Populist Communication and Democracy is ideally designed for scholars and professional communicators in political science and communication studies eager to understand the connection between weakening discourses of modern democracy and the pervasiness of confrontational styles of populist communication in contemporary political exchanges.
The Discursive Power of Memes in Digital Culture: Ideology, Semiotics, and Intertextuality (Routledge Studies in New Media and Cyberculture)
by Bradley E. WigginsShared, posted, tweeted, commented upon, and discussed online as well as off-line, internet memes represent a new genre of online communication, and an understanding of their production, dissemination, and implications in the real world enables an improved ability to navigate digital culture. This book explores cases of cultural, economic, and political critique levied by the purposeful production and consumption of internet memes. Often images, animated GIFs, or videos are remixed in such a way to incorporate intertextual references, quite frequently to popular culture, alongside a joke or critique of some aspect of the human experience. Ideology, semiotics, and intertextuality coalesce in the book’s argument that internet memes represent a new form of meaning-making, and the rapidity by which they are produced and spread underscores their importance.
Discussing Design: Improving Communication and Collaboration through Critique
by Adam Connor Aaron IrizarryReal critique has become a lost skill among collaborative teams today. Critique is intended to help teams strengthen their designs, products, and services, rather than be used to assert authority or push agendas under the guise of "feedback." In this practical guide, authors Adam Connor and Aaron Irizarry teach you techniques, tools, and a framework for helping members of your design team give and receive critique.Using firsthand stories and lessons from prominent figures in the design community, this book examines the good, the bad, and the ugly of feedback. You'll come away with tips, actionable insights, activities, and a cheat sheet for practicing critique as a part of your collaborative process.This book covers:Best practices (and anti-patterns) for giving and receiving critiqueCultural aspects that influence your ability to critique constructivelyWhen, how much, and how often to use critique in the creative processFacilitation techniques for making critiques timely and more effectiveStrategies for dealing with difficult people and challenging situations
Disease Control Through Social Network Surveillance (Lecture Notes in Social Networks)
by Thirimachos Bourlai Panagiotis Karampelas Reda AlhajjThis book examines modern paradigms of disease control based on social network surveillance applications, including electronic sentinel surveillance and wireless application-based surveillance science. It also highlights topics that integrate statistical and epidemiological sciences with surveillance practice and, in order to reflect the evolution of social networking practices, discusses topics concerning the challenges for surveillance theory and practice. In turn, the book goes a step further by providing insights on how we need to analyse epidemiological trends by following best practices on distinguishing useful information from noise, namely fake news, false reporting of disease incidents and events, etc. At the same time, we need to be able to protect health-focused applications and communication tools via cybersecurity technologies and to ensure that anonymity of reporting and privacy are preserved. In closing, the book discusses the role and impact of social media on disease surveillance, as well as the current role of communities in infectious disease surveillance and control.
Disentangling Participation
by Tone Bratteteig Ina WagnerProviding a critical view on user participation in design, disentangling decision making and power in design, this book uses fieldwork material from two large participatory design projects: one experimental in the field of urban planning, the other a product development project within health care. Addressing power issues in participatory design is critical to providing a realistic view of the possibilities and limitations of participation. Design is decision-making: during a design process a huge number of decisions taken before the designers end up with a design result - an artefact or system. All decisions are a choice between possibilities and selecting one of them and making it concrete as a change in an artefact is a demonstration of the capacity to transform, which is a key aspect of power. Participatory designers are committed to empowering users and facilitating a design process where users are able to take part in all types of decisions. This volume explores the challenges for practitioners of participatory design arising from this commitment by asking what participation really means: who should participate and in which parts of a design process; what does it mean to share power with users; how are decisions to be made in a participatory way and what is it that users participate in? The book provides a conceptual framework for understanding these issues as well as a fresh look at participation.