Advertisement
| discrete mathematics for computer science liben nowell: Discrete Mathematics for Computer Science David Liben-Nowell, 2017 |
| discrete mathematics for computer science liben nowell: Connecting Discrete Mathematics and Computer Science David Liben-Nowell, 2022-08-04 An approachable textbook connecting the mathematical foundations of computer science to broad-ranging and compelling applications throughout the field. |
| discrete mathematics for computer science liben nowell: Discrete Mathematics for Computer Science David Liben-Nowell, 2017-09-05 Written exclusively with computer science students in mind, Discrete Mathematics for Computer Science provides a comprehensive treatment of standard course topics for the introductory discrete mathematics course with a strong emphasis on the relationship between the concepts and their application to computer science. The book has been crafted to enhance teaching and learning ease and includes a wide selection of exercises, detailed exploration problems, examples and problems inspired by wide-ranging applications of computer science and handy quick reference guides for key technical topics throughout. Discrete Mathematics for Computer Science provides a lucidly written introduction to discrete mathematics with abundant support for learning, including over 450 examples, thorough chapter summaries, simple quizzes, and approximately 1600 homework exercises of widely varying difficulty. Each chapter begins with motivational content that relates the chapter topic to computer science practice and the book also includes over fifty Computer Science Connections which discuss applications to computer science such as Rotation Matrices; Game Trees, Logic, and Winning Tic-Tac(-Toe); Moore's Law; Secret Sharing; The Enigma Machine and the First Computer; Bayesian Modeling and Spam Filtering; and Quantum Computing. |
| discrete mathematics for computer science liben nowell: Discrete Mathematics Ali Grami, 2022-04-29 Discrete Mathematics: Essentials and Applications offers a comprehensive survey of the area, particularly concentrating on the basic principles and applications of Discrete Mathematics. This up-to-date text provides proofs of significance, keeping the focus on numerous relevant examples and many pertinent applications. Written in a simple and clear tone, the title features insightful descriptions and intuitive explanations of all complex concepts and ensures a thorough understanding of the subject matter. - Offers easy-to-understand coverage of the subject matter with a class-tested pedagogical approach - Covers all topics in Discrete Math in a comprehensive yet not overwhelming way - Includes numerous meaningful examples on all topics to bring insight, and relevant applications for all major topics |
| discrete mathematics for computer science liben nowell: Discrete Mathematics for Computer Science, Access Pack Print Component David Liben-Nowell, 2017-08-14 |
| discrete mathematics for computer science liben nowell: Programming with Mathematica® Paul Wellin, 2013-01-10 This practical, example-driven introduction teaches the foundations of the Mathematica language so it can be applied to solving concrete problems. |
| discrete mathematics for computer science liben nowell: Mathematical Foundations of Computer Science Ashwin Lall, 2024-11-05 Mathematical Foundations of Computer Science introduces students to the discrete mathematics needed later in their Computer Science coursework with theory of computation topics interleaved throughout. Students learn about mathematical concepts just in time to apply them to theory of computation ideas. For instance, sets motivate the study of finite automata, direct proof is practised using closure properties, induction is used to prove the language of an automaton, and contradiction is used to apply the pumping lemma. The main content of the book starts with primitive data types such as sets and strings and ends with showing the undecidability of the halting problem. There are also appendix chapters on combinatorics, probability, elementary number theory, asymptotic notation, graphs, loop invariants, and recurrences. The content is laid out concisely with a heavy reliance on worked examples, of which there are over 250 in the book. Each chapter has exercises, totalling 550. This class-tested textbook is targeted to intermediate Computer Science majors, and it is primarily intended for a discrete math / proofs course in a Computer Science major. It is also suitable for introductory theory of computation courses. The authors hope this book breeds curiosity into the subject and is designed to satisfy this to some extent by reading this book. The book will prepare readers for deeper study of game theory applications in many fields of study. |
| discrete mathematics for computer science liben nowell: Mathematical Miniatures Svetoslav Savchev, Titu Andreescu, 2003-02-27 Problems illustrating important mathematical techniques with solutions and accompanying essays. |
| discrete mathematics for computer science liben nowell: Bipartite Graphs and Their Applications Armen S. Asratian, Tristan M. J. Denley, Roland Häggkvist, 1998-07-13 This is the first book which deals solely with bipartite graphs. Together with traditional material, the reader will also find many new and unusual results. Essentially all proofs are given in full; many of these have been streamlined specifically for this text. Numerous exercises of all standards have also been included. The theory is illustrated with many applications especially to problems in timetabling, Chemistry, Communication Networks and Computer Science. For the most part the material is accessible to any reader with a graduate understanding of mathematics. However, the book contains advanced sections requiring much more specialized knowledge, which will be of interest to specialists in combinatorics and graph theory. |
| discrete mathematics for computer science liben nowell: Deep Learning on Graphs Yao Ma, Jiliang Tang, 2021-09-23 A comprehensive text on foundations and techniques of graph neural networks with applications in NLP, data mining, vision and healthcare. |
| discrete mathematics for computer science liben nowell: Combinatorics on Words M. Lothaire, 1997-05-29 Combinatorics on words, or finite sequences, is a field which grew simultaneously within disparate branches of mathematics such as group theory and probability. It has grown into an independent theory finding substantial applications in computer science automata theory and liguistics. This volume is the first to present a thorough treatment of this theory. All of the main results and techniques are covered. The presentation is accessible to undergraduate and graduate level students in mathematics and computer science as well as to specialists in all branches of applied mathematics. |
| discrete mathematics for computer science liben nowell: Prime Numbers and the Riemann Hypothesis Barry Mazur, William Stein, 2016-04-11 This book introduces prime numbers and explains the famous unsolved Riemann hypothesis. |
| discrete mathematics for computer science liben nowell: Modern Compiler Implementation in C Andrew W. Appel, Maia Ginsburg, 2004-07-08 Describes all phases of a modern compiler, including techniques in code generation and register allocation for imperative, functional and object-oriented languages. |
| discrete mathematics for computer science liben nowell: Automata and Computability Dexter C. Kozen, 2013-11-11 These are my lecture notes from CS381/481: Automata and Computability Theory, a one-semester senior-level course I have taught at Cornell Uni versity for many years. I took this course myself in thc fall of 1974 as a first-year Ph.D. student at Cornell from Juris Hartmanis and have been in love with the subject ever sin,:e. The course is required for computer science majors at Cornell. It exists in two forms: CS481, an honors version; and CS381, a somewhat gentler paced version. The syllabus is roughly the same, but CS481 go es deeper into thc subject, covers more material, and is taught at a more abstract level. Students are encouraged to start off in one or the other, then switch within the first few weeks if they find the other version more suitaLle to their level of mathematical skill. The purpose of t.hc course is twofold: to introduce computer science students to the rieh heritage of models and abstractions that have arisen over the years; and to dew!c'p the capacity to form abstractions of their own and reason in terms of them. |
| discrete mathematics for computer science liben nowell: Proceedings of the Twelfth Annual ACM-SIAM Symposium on Discrete Algorithms SIAM Activity Group on Discrete Mathematics, 2001-01-01 Contains 130 papers, which were selected based on originality, technical contribution, and relevance. Although the papers were not formally refereed, every attempt was made to verify the main claims. It is expected that most will appear in more complete form in scientific journals. The proceedings also includes the paper presented by invited plenary speaker Ronald Graham, as well as a portion of the papers presented by invited plenary speakers Udi Manber and Christos Papadimitriou. |
| discrete mathematics for computer science liben nowell: Discrete Mathematics for Computer Science Preliminary Edition David Liben-Nowell, 2015-05-18 |
| discrete mathematics for computer science liben nowell: Proven Impossible Dan Gusfield, 2024-01-18 In mathematics, it simply is not true that 'you can't prove a negative'. Many revolutionary impossibility theorems reveal profound properties of logic, computation, fairness and the universe, and form the mathematical background of new technologies and Nobel prizes. But to fully appreciate these theorems and their impact on mathematics and beyond, you must understand their proofs. This book is the first to present these proofs for a broad, lay audience. It fully develops the simplest rigorous proofs found in the literature, reworked to contain less jargon and notation, and more background, intuition, examples, explanations, and exercises. Amazingly, all of the proofs in this book involve only arithmetic and basic logic – and are elementary, starting only from first principles and definitions. Very little background knowledge is required, and no specialized mathematical training – all you need is the discipline to follow logical arguments and a pen in your hand. |
| discrete mathematics for computer science liben nowell: Discrete Mathematics with Graph Theory Edgar G. Goodaire, Michael M. Parmenter, 2006 0. Yes, there are proofs! 1. Logic 2. Sets and relations 3. Functions 4. The integers 5. Induction and recursion 6. Principles of counting 7. Permutations and combinations 8. Algorithms 9. Graphs 10. Paths and circuits 11. Applications of paths and circuits 12. Trees 13. Planar graphs and colorings 14. The Max flow-min cut theorem. |
| discrete mathematics for computer science liben nowell: Discrete Mathematics for Computer Science Jon Pierre Fortney, 2020-12-23 Discrete Mathematics for Computer Science: An Example-Based Introduction is intended for a first- or second-year discrete mathematics course for computer science majors. It covers many important mathematical topics essential for future computer science majors, such as algorithms, number representations, logic, set theory, Boolean algebra, functions, combinatorics, algorithmic complexity, graphs, and trees. Features Designed to be especially useful for courses at the community-college level Ideal as a first- or second-year textbook for computer science majors, or as a general introduction to discrete mathematics Written to be accessible to those with a limited mathematics background, and to aid with the transition to abstract thinking Filled with over 200 worked examples, boxed for easy reference, and over 200 practice problems with answers Contains approximately 40 simple algorithms to aid students in becoming proficient with algorithm control structures and pseudocode Includes an appendix on basic circuit design which provides a real-world motivational example for computer science majors by drawing on multiple topics covered in the book to design a circuit that adds two eight-digit binary numbers Jon Pierre Fortney graduated from the University of Pennsylvania in 1996 with a BA in Mathematics and Actuarial Science and a BSE in Chemical Engineering. Prior to returning to graduate school, he worked as both an environmental engineer and as an actuarial analyst. He graduated from Arizona State University in 2008 with a PhD in Mathematics, specializing in Geometric Mechanics. Since 2012, he has worked at Zayed University in Dubai. This is his second mathematics textbook. |
| discrete mathematics for computer science liben nowell: Algebraic Graph Theory Norman Biggs, 1993 This is a substantial revision of a much-quoted monograph, first published in 1974. The structure is unchanged, but the text has been clarified and the notation brought into line with current practice. A large number of 'Additional Results' are included at the end of each chapter, thereby covering most of the major advances in the last twenty years. Professor Biggs' basic aim remains to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first part, he tackles the applications of linear algebra and matrix theory to the study of graphs; algebraic constructions such as adjacency matrix and the incidence matrix and their applications are discussed in depth. There follows an extensive account of the theory of chromatic polynomials, a subject which has strong links with the 'interaction models' studied in theoretical physics, and the theory of knots. The last part deals with symmetry and regularity properties. Here there are important connections with other branches of algebraic combinatorics and group theory. This new and enlarged edition this will be essential reading for a wide range of mathematicians, computer scientists and theoretical physicists. |
| discrete mathematics for computer science liben nowell: Fundamentals of Discrete Math for Computer Science Tom Jenkyns, Ben Stephenson, 2018-05-03 This clearly written textbook presents an accessible introduction to discrete mathematics for computer science students, offering the reader an enjoyable and stimulating path to improve their programming competence. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Its motivational and interactive style provokes a conversation with the reader through a questioning commentary, and supplies detailed walkthroughs of several algorithms. This updated and enhanced new edition also includes new material on directed graphs, and on drawing and coloring graphs, in addition to more than 100 new exercises (with solutions to selected exercises). Topics and features: assumes no prior mathematical knowledge, and discusses concepts in programming as and when they are needed; designed for both classroom use and self-study, presenting modular and self-contained chapters that follow ACM curriculum recommendations; describes mathematical processes in an algorithmic manner, often supported by a walkthrough demonstrating how the algorithm performs the desired task; includes an extensive set of exercises throughout the text, together with numerous examples, and shaded boxes highlighting key concepts; selects examples that demonstrate a practical use for the concept in question. Students embarking on the start of their studies of computer science will find this book to be an easy-to-understand and fun-to-read primer, ideal for use in a mathematics course taken concurrently with their first programming course. |
| discrete mathematics for computer science liben nowell: Discrete Math for Computer Science Students Stahl Zsolt, 2016-08-28 Discrete Mathematics for Computer Science Students emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions. |
| discrete mathematics for computer science liben nowell: Combinatorics of Genome Rearrangements Guillaume Fertin, 2009 A comprehensive survey of a rapidly expanding field of combinatorial optimization, mathematically oriented but offering biological explanations when required. From one cell to another, from one individual to another, and from one species to another, the content of DNA molecules is often similar. The organization of these molecules, however, differs dramatically, and the mutations that affect this organization are known as genome rearrangements. Combinatorial methods are used to reconstruct putative rearrangement scenarios in order to explain the evolutionary history of a set of species, often formalizing the evolutionary events that can explain the multiple combinations of observed genomes as combinatorial optimization problems. This book offers the first comprehensive survey of this rapidly expanding application of combinatorial optimization. It can be used as a reference for experienced researchers or as an introductory text for a broader audience. Genome rearrangement problems have proved so interesting from a combinatorial point of view that the field now belongs as much to mathematics as to biology. This book takes a mathematically oriented approach, but provides biological background when necessary. It presents a series of models, beginning with the simplest (which is progressively extended by dropping restrictions), each constructing a genome rearrangement problem. The book also discusses an important generalization of the basic problem known as the median problem, surveys attempts to reconstruct the relationships between genomes with phylogenetic trees, and offers a collection of summaries and appendixes with useful additional information. |
| discrete mathematics for computer science liben nowell: Analysis of Boolean Functions Ryan O'Donnell, 2014-06-05 This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics. |
| discrete mathematics for computer science liben nowell: Recent Advances in Modeling and Simulation Tools for Communication Networks and Services Nejat Ince, Arnold Bragg, 2007-11-26 This book contains a selection of papers presented at a symposium organized under the aegis of COST Telecommunications Action 285. COST (European Cooperation in the field of Scientific and Technical Research) is a framework for scientific and technical cooperation, allowing the coordination of national research on a European level. Action 285 sought to enhance existing tools and develop new modeling and simulation tools. |
| discrete mathematics for computer science liben nowell: High-Performance Modelling and Simulation for Big Data Applications Joanna Kołodziej, Horacio González-Vélez, 2019-03-25 This open access book was prepared as a Final Publication of the COST Action IC1406 “High-Performance Modelling and Simulation for Big Data Applications (cHiPSet)“ project. Long considered important pillars of the scientific method, Modelling and Simulation have evolved from traditional discrete numerical methods to complex data-intensive continuous analytical optimisations. Resolution, scale, and accuracy have become essential to predict and analyse natural and complex systems in science and engineering. When their level of abstraction raises to have a better discernment of the domain at hand, their representation gets increasingly demanding for computational and data resources. On the other hand, High Performance Computing typically entails the effective use of parallel and distributed processing units coupled with efficient storage, communication and visualisation systems to underpin complex data-intensive applications in distinct scientific and technical domains. It is then arguably required to have a seamless interaction of High Performance Computing with Modelling and Simulation in order to store, compute, analyse, and visualise large data sets in science and engineering. Funded by the European Commission, cHiPSet has provided a dynamic trans-European forum for their members and distinguished guests to openly discuss novel perspectives and topics of interests for these two communities. This cHiPSet compendium presents a set of selected case studies related to healthcare, biological data, computational advertising, multimedia, finance, bioinformatics, and telecommunications. |
| discrete mathematics for computer science liben nowell: Networks, Crowds, and Markets David Easley, Jon Kleinberg, 2010-07-19 Are all film stars linked to Kevin Bacon? Why do the stock markets rise and fall sharply on the strength of a vague rumour? How does gossip spread so quickly? Are we all related through six degrees of separation? There is a growing awareness of the complex networks that pervade modern society. We see them in the rapid growth of the internet, the ease of global communication, the swift spread of news and information, and in the way epidemics and financial crises develop with startling speed and intensity. This introductory book on the new science of networks takes an interdisciplinary approach, using economics, sociology, computing, information science and applied mathematics to address fundamental questions about the links that connect us, and the ways that our decisions can have consequences for others. |
| discrete mathematics for computer science liben nowell: Purely Functional Data Structures Chris Okasaki, 1998 This book describes data structures and data structure design techniques for functional languages. |
| discrete mathematics for computer science liben nowell: Mathematical Foundations of Computer Science 2009 Rastislav Královic, Damian Niwinski, 2009-08-19 This book constitutes the refereed proceedings of the 34th International Symposium on Mathematical Foundations of Computer Science, MFCS 2009, held in Novy Smokovec, High Tatras, Slovakia, in August 2009. The 56 revised full papers presented together with 7 invited lectures were carefully reviewed and selected from 148 submissions. All current aspects in theoretical computer science and its mathematical foundations are addressed, including algorithmic game theory, algorithmic tearning theory, algorithms and data structures, automata, grammars and formal languages, bioinformatics, complexity, computational geometry, computer-assisted reasoning, concurrency theory, cryptography and security, databases and knowledge-based systems, formal specifications and program development, foundations of computing, logic in computer science, mobile computing, models of computation, networks, parallel and distributed computing, quantum computing, semantics and verification of programs, theoretical issues in artificial intelligence. |
| discrete mathematics for computer science liben nowell: Data Structures and Algorithms Using C# Michael McMillan, 2007-03-26 C# programmers: no more translating data structures from C++ or Java to use in your programs! Mike McMillan provides a tutorial on how to use data structures and algorithms plus the first comprehensive reference for C# implementation of data structures and algorithms found in the .NET Framework library, as well as those developed by the programmer. The approach is very practical, using timing tests rather than Big O notation to analyze the efficiency of an approach. Coverage includes arrays and array lists, linked lists, hash tables, dictionaries, trees, graphs, and sorting and searching algorithms, as well as more advanced algorithms such as probabilistic algorithms and dynamic programming. This is the perfect resource for C# professionals and students alike. |
| discrete mathematics for computer science liben nowell: Mathematics of Public Key Cryptography Steven D. Galbraith, 2012-03-15 This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography. |
| discrete mathematics for computer science liben nowell: Handbook of Optimization in Complex Networks My T. Thai, Panos M. Pardalos, 2011-11-25 Complex Social Networks is a newly emerging (hot) topic with applications in a variety of domains, such as communication networks, engineering networks, social networks, and biological networks. In the last decade, there has been an explosive growth of research on complex real-world networks, a theme that is becoming pervasive in many disciplines, ranging from mathematics and computer science to the social and biological sciences. Optimization of complex communication networks requires a deep understanding of the interplay between the dynamics of the physical network and the information dynamics within the network. Although there are a few books addressing social networks or complex networks, none of them has specially focused on the optimization perspective of studying these networks. This book provides the basic theory of complex networks with several new mathematical approaches and optimization techniques to design and analyze dynamic complex networks. A wide range of applications and optimization problems derived from research areas such as cellular and molecular chemistry, operations research, brain physiology, epidemiology, and ecology. |
| discrete mathematics for computer science liben nowell: Feynman Motives Matilde Marcolli, 2010 This book presents recent and ongoing research work aimed at understanding the mysterious relation between the computations of Feynman integrals in perturbative quantum field theory and the theory of motives of algebraic varieties and their periods. One of the main questions in the field is understanding when the residues of Feynman integrals in perturbative quantum field theory evaluate to periods of mixed Tate motives. The question originates from the occurrence of multiple zeta values in Feynman integrals calculations observed by Broadhurst and Kreimer. Two different approaches to the subject are described. The first, a OC bottom-upOCO approach, constructs explicit algebraic varieties and periods from Feynman graphs and parametric Feynman integrals. This approach, which grew out of work of BlochOCoEsnaultOCoKreimer and was more recently developed in joint work of Paolo Aluffi and the author, leads to algebro-geometric and motivic versions of the Feynman rules of quantum field theory and concentrates on explicit constructions of motives and classes in the Grothendieck ring of varieties associated to Feynman integrals. While the varieties obtained in this way can be arbitrarily complicated as motives, the part of the cohomology that is involved in the Feynman integral computation might still be of the special mixed Tate kind. A second, OC top-downOCO approach to the problem, developed in the work of Alain Connes and the author, consists of comparing a Tannakian category constructed out of the data of renormalization of perturbative scalar field theories, obtained in the form of a RiemannOCoHilbert correspondence, with Tannakian categories of mixed Tate motives. The book draws connections between these two approaches and gives an overview of other ongoing directions of research in the field, outlining the many connections of perturbative quantum field theory and renormalization to motives, singularity theory, Hodge structures, arithmetic geometry, supermanifolds, algebraic and non-commutative geometry. The text is aimed at researchers in mathematical physics, high energy physics, number theory and algebraic geometry. Partly based on lecture notes for a graduate course given by the author at Caltech in the fall of 2008, it can also be used by graduate students interested in working in this area. Sample Chapter(s). Chapter 1: Perturbative quantum field theory and Feynman diagrams (350 KB). Contents: Perturbative Quantum Field Theory and Feynman Diagrams; Motives and Periods; Feynman Integrals and Algebraic Varieties; Feynman Integrals and GelfandOCoLeray Forms; ConnesOCoKreimer Theory in a Nutshell; The RiemannOCoHilbert Correspondence; The Geometry of DimReg; Renormalization, Singularities, and Hodge Structures; Beyond Scalar Theories. Readership: Graduate students and researchers in mathematical physics and theoretical physics. |
| discrete mathematics for computer science liben nowell: Discrete Mathematics for Computer Science Enhanced EPUB Student Package David Liben-Nowell, 2017-07-05 |
| discrete mathematics for computer science liben nowell: Understanding Probability Henk Tijms, 2007-07-26 In this fully revised second edition of Understanding Probability, the reader can learn about the world of probability in an informal way. The author demystifies the law of large numbers, betting systems, random walks, the bootstrap, rare events, the central limit theorem, the Bayesian approach and more. This second edition has wider coverage, more explanations and examples and exercises, and a new chapter introducing Markov chains, making it a great choice for a first probability course. But its easy-going style makes it just as valuable if you want to learn about the subject on your own, and high school algebra is really all the mathematical background you need. |
| discrete mathematics for computer science liben nowell: Machine Learning and Knowledge Discovery in Databases José L. Balcázar, Francesco Bonchi, Aristides Gionis, Michèle Sebag, 2010-09-13 This book constitutes the refereed proceedings of the joint conference on Machine Learning and Knowledge Discovery in Databases: ECML PKDD 2010, held in Barcelona, Spain, in September 2010. The 120 revised full papers presented in three volumes, together with 12 demos (out of 24 submitted demos), were carefully reviewed and selected from 658 paper submissions. In addition, 7 ML and 7 DM papers were distinguished by the program chairs on the basis of their exceptional scientific quality and high impact on the field. The conference intends to provide an international forum for the discussion of the latest high quality research results in all areas related to machine learning and knowledge discovery in databases. A topic widely explored from both ML and DM perspectives was graphs, with motivations ranging from molecular chemistry to social networks. |
| discrete mathematics for computer science liben nowell: Social Network-Based Recommender Systems Daniel Schall, 2015-09-23 This book introduces novel techniques and algorithms necessary to support the formation of social networks. Concepts such as link prediction, graph patterns, recommendation systems based on user reputation, strategic partner selection, collaborative systems and network formation based on ‘social brokers’ are presented. Chapters cover a wide range of models and algorithms, including graph models and a personalized PageRank model. Extensive experiments and scenarios using real world datasets from GitHub, Facebook, Twitter, Google Plus and the European Union ICT research collaborations serve to enhance reader understanding of the material with clear applications. Each chapter concludes with an analysis and detailed summary. Social Network-Based Recommender Systems is designed as a reference for professionals and researchers working in social network analysis and companies working on recommender systems. Advanced-level students studying computer science, statistics or mathematics will also find this books useful as a secondary text. |
| discrete mathematics for computer science liben nowell: Mining Graph Data Diane J. Cook, Lawrence B. Holder, 2006-12-18 This text takes a focused and comprehensive look at mining data represented as a graph, with the latest findings and applications in both theory and practice provided. Even if you have minimal background in analyzing graph data, with this book you’ll be able to represent data as graphs, extract patterns and concepts from the data, and apply the methodologies presented in the text to real datasets. There is a misprint with the link to the accompanying Web page for this book. For those readers who would like to experiment with the techniques found in this book or test their own ideas on graph data, the Web page for the book should be http://www.eecs.wsu.edu/MGD. |
| discrete mathematics for computer science liben nowell: Discrete Mathematics for Computer Science Enhanced EPUB Reg Card David Liben-Nowell, 2017-07-12 |
| discrete mathematics for computer science liben nowell: Comparative Genomics D. Sankoff, J.H. Nadeau, 2012-12-06 A comprehensive account of genomic rearrangement, focusing on the mechanisms of inversion, translocation, gene and genome duplication and gene transfer and on the patterns that result from them in comparative maps. Includes analyses of genomic sequences in organelles, prokaryotes and eukaryotes as well as comparative maps of the nuclear genomes in higher plants and animals. The book showcases a variety of algorithmic and statistical approaches to rearrangement and map data. |
Why is My Discrete GPU Idle? Expert Answers and Solutions
NVIDIA Control Panel/AMD Radeon Settings: Depending on your GPU, you can manually set the discrete GPU for specific applications. For NVIDIA: Right-click on the desktop and select …
Expert Solutions for Discrete GPU Idle Issues in NitroSense
Use the arrow keys to select the Advanced tab. Use the arrow keys to select the Display mode and change it from Optimus to Discrete GPU only. Select the Exit tab. Select Exit Saving …
What does discrete mass effect mean on a radiology report
the “discrete mass” then means arachnoid cyst in this case?I had a non contrast MRI a few months back and no compression was mentioned now the Cat mentioned that there is …
What does mild coarsening of the liver echo texture mean?
Hi, Welcome to JA and thanks for this question. I'm sorry to hear about your ultrasound report. Actually mild coarsening of the liver echotexture means that the ultrasound has detected that …
What are some reasons a neck lymph node would not have
Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts.
Understanding Blunting and Fraying of the Labrum: Expert Answers
Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts.
Understanding Pyriform Sinus CT Scans: Expert Q&A - JustAnswer
1. New mild asymmetric fullness of the left piriform sinus without discrete mass. This is likely due to underdistention, but correlation with direct visualization is recommended. You can have …
I just got an ultrasound done to my liver, can this be reversed ...
Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts.
Understanding ANA Titer 1:1280 and Its Patterns - Expert Q&A
Hello, this is Dr. David. I have read your question and am ready to help. the ANA speckled patter titer of 1:1280 means you are positive for antineuclear antibodies which means your body is …
Understanding ANA Titer 1:320 Speckled Pattern: Expert Answers
Customer: I had an ANA test and was positive at a titer of 1:320 speckled. I’m not sure what that means or what it implys.. my dr has been out and the nurse had no clue.
Why is My Discrete GPU Idle? Expert Answers and Solutions
NVIDIA Control Panel/AMD Radeon Settings: Depending on your GPU, you can manually set the discrete GPU for specific applications. For NVIDIA: Right-click on the desktop and select …
Expert Solutions for Discrete GPU Idle Issues in NitroSense
Use the arrow keys to select the Advanced tab. Use the arrow keys to select the Display mode and change it from Optimus to Discrete GPU only. Select the Exit tab. Select Exit Saving …
What does discrete mass effect mean on a radiology report
the “discrete mass” then means arachnoid cyst in this case?I had a non contrast MRI a few months back and no compression was mentioned now the Cat mentioned that there is …
What does mild coarsening of the liver echo texture mean?
Hi, Welcome to JA and thanks for this question. I'm sorry to hear about your ultrasound report. Actually mild coarsening of the liver echotexture means that the ultrasound has detected that …
What are some reasons a neck lymph node would not have
Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts.
Understanding Blunting and Fraying of the Labrum: Expert Answers
Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts.
Understanding Pyriform Sinus CT Scans: Expert Q&A - JustAnswer
1. New mild asymmetric fullness of the left piriform sinus without discrete mass. This is likely due to underdistention, but correlation with direct visualization is recommended. You can have …
I just got an ultrasound done to my liver, can this be reversed ...
Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts.
Understanding ANA Titer 1:1280 and Its Patterns - Expert Q&A
Hello, this is Dr. David. I have read your question and am ready to help. the ANA speckled patter titer of 1:1280 means you are positive for antineuclear antibodies which means your body is …
Understanding ANA Titer 1:320 Speckled Pattern: Expert Answers
Customer: I had an ANA test and was positive at a titer of 1:320 speckled. I’m not sure what that means or what it implys.. my dr has been out and the nurse had no clue.
