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  • Integer Programming
    Integer Programming

    A PRACTICAL GUIDE TO OPTIMIZATION PROBLEMS WITH DISCRETE OR INTEGER VARIABLES, REVISED AND UPDATED The revised second edition of Integer Programming explains in clear and simple terms how to construct custom-made algorithms or use existing commercial software to obtain optimal or near-optimal solutions for a variety of real-world problems.The second edition also includes information on the remarkable progress in the development of mixed integer programming solvers in the 22 years since the first edition of the book appeared.The updated text includes information on the most recent developments in the field such as the much improved preprocessing/presolving and the many new ideas for primal heuristics included in the solvers.The result has been a speed-up of several orders of magnitude.The other major change reflected in the text is the widespread use of decomposition algorithms, in particular column generation (branch-(cut)-and-price) and Benders’ decomposition.The revised second edition: Contains new developments on column generationOffers a new chapter on Benders’ algorithmIncludes expanded information on preprocessing, heuristics, and branch-and-cutPresents several basic and extended formulations, for example for fixed costnetwork flowsAlso touches on and briefly introduces topics such as non-bipartite matching, the complexity of extended formulations or a good linear program for the implementation of lift-and-project Written for students of integer/mathematical programming in operations research, mathematics, engineering, or computer science, Integer Programming offers an updated edition of the basic text that reflects the most recent developments in the field.

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  • Integer Algorithms In Cryptology And Information Assurance
    Integer Algorithms In Cryptology And Information Assurance

    Integer Algorithms in Cryptology and Information Assurance is a collection of the author's own innovative approaches in algorithms and protocols for secret and reliable communication.It concentrates on the "what" and "how" behind implementing the proposed cryptographic algorithms rather than on formal proofs of "why" these algorithms work.The book consists of five parts (in 28 chapters) and describes the author's research results in:This text contains innovative cryptographic algorithms; computationally efficient algorithms for information assurance; new methods to solve the classical problem of integer factorization, which plays a key role in cryptanalysis; and numerous illustrative examples and tables that facilitate the understanding of the proposed algorithms.The fundamental ideas contained within are not based on temporary advances in technology, which might become obsolete in several years.The problems addressed in the book have their own intrinsic computational complexities, and the ideas and methods described in the book will remain important for years to come.

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  • Linear and Integer Optimization : Theory and Practice, Third Edition
    Linear and Integer Optimization : Theory and Practice, Third Edition

    Presenting a strong and clear relationship between theory and practice, Linear and Integer Optimization: Theory and Practice is divided into two main parts.The first covers the theory of linear and integer optimization, including both basic and advanced topics.Dantzig’s simplex algorithm, duality, sensitivity analysis, integer optimization models, and network models are introduced.More advanced topics also are presented including interior point algorithms, the branch-and-bound algorithm, cutting planes, complexity, standard combinatorial optimization models, the assignment problem, minimum cost flow, and the maximum flow/minimum cut theorem. The second part applies theory through real-world case studies.The authors discuss advanced techniques such as column generation, multiobjective optimization, dynamic optimization, machine learning (support vector machines), combinatorial optimization, approximation algorithms, and game theory. Besides the fresh new layout and completely redesigned figures, this new edition incorporates modern examples and applications of linear optimization.The book now includes computer code in the form of models in the GNU Mathematical Programming Language (GMPL).The models and corresponding data files are available for download and can be readily solved using the provided online solver. This new edition also contains appendices covering mathematical proofs, linear algebra, graph theory, convexity, and nonlinear optimization.All chapters contain extensive examples and exercises.This textbook is ideal for courses for advanced undergraduate and graduate students in various fields including mathematics, computer science, industrial engineering, operations research, and management science.

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  • Around the Unit Circle : Mahler Measure, Integer Matrices and Roots of Unity
    Around the Unit Circle : Mahler Measure, Integer Matrices and Roots of Unity

    Mahler measure, a height function for polynomials, is the central theme of this book.It has many interesting properties, obtained by algebraic, analytic and combinatorial methods.It is the subject of several longstanding unsolved questions, such as Lehmer’s Problem (1933) and Boyd’s Conjecture (1981).This book contains a wide range of results on Mahler measure.Some of the results are very recent, such as Dimitrov’s proof of the Schinzel–Zassenhaus Conjecture.Other known results are included with new, streamlined proofs.Robinson’s Conjectures (1965) for cyclotomic integers, and their associated Cassels height function, are also discussed, for the first time in a book.One way to study algebraic integers is to associate them with combinatorial objects, such as integer matrices.In some of these combinatorial settings the analogues of several notorious open problems have been solved, and the book sets out this recent work.Many Mahler measure results are proved for restricted setsof polynomials, such as for totally real polynomials, and reciprocal polynomials of integer symmetric as well as symmetrizable matrices.For reference, the book includes appendices providing necessary background from algebraic number theory, graph theory, and other prerequisites, along with tables of one- and two-variable integer polynomials with small Mahler measure. All theorems are well motivated and presented in an accessible way.Numerous exercises at various levels are given, including some for computer programming.A wide range of stimulating open problems is also included.At the end of each chapter there is a glossary of newly introduced concepts and definitions. Around the Unit Circle is written in a friendly, lucid, enjoyable style, without sacrificing mathematical rigour.It is intended for lecture courses at the graduate level, and will also be a valuable reference for researchers interested in Mahler measure.Essentially self-contained, this textbook should also be accessible to well-prepared upper-level undergraduates.

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  • What are integer exponents?

    Integer exponents are a way of representing repeated multiplication of a number by itself. An integer exponent is a whole number that indicates how many times the base number should be multiplied by itself. For example, in the expression 2^3, the base number is 2 and the exponent is 3, indicating that 2 should be multiplied by itself 3 times. Integer exponents can be positive, negative, or zero, and they are used to simplify and solve mathematical expressions involving powers.

  • How are integer variables declared?

    Integer variables are declared by specifying the data type "int" followed by the variable name. For example, to declare an integer variable named "num", the syntax would be "int num;". This tells the compiler to allocate memory for an integer variable named "num" that can store whole numbers within a certain range. Integer variables can also be initialized at the time of declaration by assigning a value, such as "int num = 5;".

  • What are Integer Cluster CPUs?

    Integer Cluster CPUs are a type of central processing unit that consist of multiple cores grouped together in clusters. Each cluster is dedicated to handling integer-based calculations, which are common in tasks such as general computing, data processing, and artificial intelligence. By dividing the workload among multiple clusters, Integer Cluster CPUs can improve overall performance and efficiency for these types of tasks.

  • What is an integer division?

    Integer division is a mathematical operation that divides one integer by another and produces an integer result. In integer division, any fractional part of the result is discarded, and only the whole number part is kept. For example, when dividing 7 by 3 using integer division, the result would be 2, as the fractional part (0.333) is discarded. Integer division is often denoted by the // operator in programming languages.

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  • Mathematical Programming Approaches for Multi-Vehicle Motion Planning : Linear, Nonlinear, and Mixed Integer Programming
    Mathematical Programming Approaches for Multi-Vehicle Motion Planning : Linear, Nonlinear, and Mixed Integer Programming

    Real world Multi-Vehicle Motion Planning (MVMP) problems require the optimization of suitable performance measures under an array of complex and challenging constraints involving kinematics, dynamics, collision avoidance, and communication connectivity.The general MVMP problem is thus formulated as a Mathematical Programming (Optimization) problem. This book presents a Mathematical Programming (MP) framework that captures the salient features of the general MVMP problem.To demonstrate the use of MP for the formulation and solution of MVMP problems, it examines in detail four representative works and summarizes several other related ones.Following this conceptual discussion, it provides a step-by-step demonstration of how to formulate, solve, and experimentally validate an MP problem that represents a MVMP.Finally, it discusses the advantages, technical challenges, and limitations of this framework. As solution algorithms and their implementations in solvers continue to develop, it is anticipated that MP solution techniques will be applied to an increasing number of MVMP problems.The framework, formulations, and experimental approach presented here may serve as a guide for future MVMP research.

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  • Integer Linear Programming in Computational and Systems Biology : An Entry-Level Text and Course
    Integer Linear Programming in Computational and Systems Biology : An Entry-Level Text and Course

    Integer linear programming (ILP) is a versatile modeling and optimization technique that is increasingly used in non-traditional ways in biology, with the potential to transform biological computation.However, few biologists know about it. This how-to and why-do text introduces ILP through the lens of computational and systems biology.It uses in-depth examples from genomics, phylogenetics, RNA, protein folding, network analysis, cancer, ecology, co-evolution, DNA sequencing, sequence analysis, pedigree and sibling inference, haplotyping, and more, to establish the power of ILP.This book aims to teach the logic of modeling and solving problems with ILP, and to teach the practical 'work flow' involved in using ILP in biology.Written for a wide audience, with no biological or computational prerequisites, this book is appropriate for entry-level and advanced courses aimed at biological and computational students, and as a source for specialists.Numerous exercises and accompanying software (in Python and Perl) demonstrate the concepts.

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  • Mountains Piled Upon Mountains : Appalachian Nature Writing in the Anthropocene
    Mountains Piled Upon Mountains : Appalachian Nature Writing in the Anthropocene

    Mountains Piled upon Mountains features nearly fifty writers from across Appalachia sharing their place-based fiction, literary nonfiction, and poetry.Moving beyond the tradition of transcendental nature writing, much of the work collected here engages current issues facing the region and the planet (such as hydraulic fracturing, water contamination, mountaintop removal, and deforestation), and provides readers with insights on the human-nature relationship in an era of rapid environmental change.This book includes a mix of new and recent creative work by established and emerging authors.The contributors write about experiences from northern Georgia to upstate New York, invite parallels between a watershed in West Virginia and one in North Carolina, and often emphasize connections between Appalachia and more distant locations.In the pages of Mountains Piled upon Mountains are celebration, mourning, confusion, loneliness, admiration, and other emotions and experiences rooted in place but transcending Appalachia's boundaries.

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  • Wind : Nature and Culture
    Wind : Nature and Culture

    By turns creative and destructive, wind spreads seeds, fills sails and disperses the energy of the sun.Worshipped since antiquity, wind has moulded planets, decided the outcome of innumerable battles and shaped the evolution of humans and animals - yet it remains intangible and unpredictable. In this book Louise M. Pryke explores the science behind wind, as well as how it has been imagined and portrayed in myth, religion, art and literature since ancient times.Its formative effect on the Earth's environment is reflected in its prominent role in myths and religions of antiquity.In the modern day, wind has inspired ground-breaking scientific innovations, and appeared in artistic works as diverse as the art of Van Gogh, the poetry of Keats and the blockbuster film Twister.

    Price: 16.95 £ | Shipping*: 3.99 £
  • What are integer solution triples?

    Integer solution triples are sets of three integers (a, b, c) that satisfy a given equation or inequality. These triples are solutions to equations or inequalities where all three variables are integers. For example, in the equation a^2 + b^2 = c^2, the set of integers (3, 4, 5) is an integer solution triple because it satisfies the equation. Integer solution triples are often used in number theory and geometry to find relationships between integers and to solve problems involving integer solutions.

  • Why doesn't Eclipse import the Integer?

    Eclipse does not import the `Integer` class by default because it is part of the `java.lang` package, which is automatically imported in every Java class. Therefore, there is no need to explicitly import the `Integer` class in Eclipse. This is done to reduce clutter and make the code more readable. If you are encountering issues with using the `Integer` class in Eclipse, it may be due to a different problem such as a typo or incorrect usage of the class.

  • Is 05 also an integer multiple?

    Yes, 05 is also an integer multiple. An integer multiple is a number that can be expressed as the product of an integer and another number. In this case, 05 can be expressed as the product of the integer 1 and the number 5, making it an integer multiple.

  • Why does Eclipse not import the Integer?

    Eclipse does not import the Integer class because it is part of the java.lang package, which is automatically imported in every Java class by default. Therefore, there is no need to explicitly import the Integer class in Eclipse. This is done to make commonly used classes easily accessible without the need for additional imports.

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