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1
Theory of randomized search heuristics : foundations and recent developments
Published 2011Full text (MFA users only)
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How to guard an art gallery and other discrete mathematical adventures
Published 2009Table of Contents: “…s Formula: Second Proof -- 2.8 Batting Averages and Lattice Points -- 2.9 Three Dimensions and N-largements -- 2.10 Notes and References -- 2.11 Problems -- 3 How to Guard an Art Gallery -- 3.1 The Sunflower Art Gallery -- 3.2 Art Gallery Problems -- 3.3 The Art Gallery Theorem -- 3.4 Colorful Consequences -- 3.5 Triangular and Chromatic Assumptions -- 3.6 Modern Art Galleries -- 3.7 Art Gallery Sketches -- 3.8 Right-Angled Art Galleries -- 3.9 Guarding the Guards -- 3.10 Three Dimensions and the Octoplex…”
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On the Shoulders of Giants : New Approaches to Numeracy.
Published 1990Table of Contents: “…""On the Shoulders of Giants""; ""Copyright""; ""Preface""; ""Contents""; ""Pattern""; ""FUNDAMENTAL MATHEMATICS""; ""FIVE SAMPLES""; ""CONNECTIONS""; ""GAINING PERSPECTIVE""; ""REFERENCES AND RECOMMENDED READING""; ""Dimension""; ""INTRODUCTION""; ""The Dimensional Ladder""; ""Giving Geometrical Gifts""; ""MEASURING VOLUMES""; ""Decomposition Models""; ""Pyramid Problems""; ""Cylinders and Discs""; ""VISUALIZING DIMENSIONS""; ""Growth Factors""; ""Rates and Averages""; ""Drawing Cubes""; ""COORDINATES IN DIFFERENT DIMENSIONS""; ""Number Lines and Circles""; ""Lengths and Perimeters""…”
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Flowchart and Algorithm Basics : The Art of Programming.
Published 2020Full text (MFA users only)
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Algorithmic Puzzles.
Published 2011Table of Contents: “…-- General strategies for algorithm design -- Analysis techniques -- Easier puzzles (#1 to #50) -- Puzzles of medium difficulty (#51 to #110) -- Harder puzzles (#111 to #150) -- Hints -- Solutions -- References -- Design stragety and analysis index.…”
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Algorithms for Dummies.
Published 2022Table of Contents: “…Distinguishing between Issues and Solutions -- Being correct and efficient -- Discovering there is no free lunch -- Adapting the strategy to the problem -- Describing algorithms in a lingua franca -- Facing problems that are like brick walls, only harder -- Structuring Data to Obtain a Solution -- Understanding a computer's point of view -- Arranging data makes the difference -- Chapter 2 Considering Algorithm Design -- Starting to Solve a Problem -- Modeling real-world problems -- Finding solutions and counterexamples -- Standing on the shoulders of giants -- Dividing and Conquering…”
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Algorithmic composition : a guide to composing music with Nyquist
Published 2013Full text (MFA users only)
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Introduction to cryptography
Published 2018Table of Contents: “…3.7 Quadratic Congruence3.7.1 Quadratic Residue or Non-Residue; 3.7.2 Legendre Symbol and Jacobi Symbol; 3.8 Exponentiation and Logarithm; 3.8.1 Square and Multiply Method; 3.9 Discrete Logarithm Problem; 3.9.1 Shank's Baby-Step Giant-Step Algorithm; 3.9.2 Pollard's Rho Algorithm; 3.9.3 Pohlig-Hellman Algorithm; 3.9.4 Index Calculus Algorithm; 3.10 Exercises; 4 Probability and Perfect Secrecy; 4.1 Basic Concept of Probability; 4.2 Birthday Paradox; 4.3 Perfect Secrecy; 4.4 Vernam One-Time Pad; 4.5 Random Number Generation; 4.6 Pseudo-random Number Generator; 4.7 Exercises; 5 Complexity Theory.…”
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Pathway modeling and algorithm research
Published 2011Table of Contents: “…PATHWAY MODELING AND ALGORITHM RESEARCH; PATHWAY MODELING AND ALGORITHM RESEARCH; Contents; Preface; Biological Pathways and Their Modeling; Abstract; 1. …”
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Structural geology algorithms : vectors and tensors
Published 2012Full text (MFA users only)
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Ensemble methods : foundations and algorithms.
Published 2012Full text (MFA users only)
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Genome Sequencing Technology and Algorithms.
Published 2007Full text (MFA users only)
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Pattern Recognition.
Published 2008Table of Contents: “…Chapter 13 Clustering Algorithms II: Hierarchical AlgorithmsChapter 14 Clustering Algorithms III: Schemes Based on Function Optimization; Chapter 15 Clustering Algorithms IV; Chapter 16 Cluster Validity; Appendix A Hints from Probability and Statistics; Appendix B Linear Algebra Basics; Appendix C Cost Function Optimization; Appendix D Basic Definitions from Linear Systems Theory; Index.…”
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Optimization of Computer Networks : Modeling and Algorithms: a Hands-On Approach.
Published 2016Table of Contents: “…7.1 Introduction -- 7.2 Node Location Problems -- 7.3 Full Topology Design Problems -- 7.4 Multilayer Network Design -- 7.5 Notes and Sources -- 7.6 Exercises -- References -- Part Two: Algorithms -- Chapter 8: Gradient Algorithms in Network Design -- 8.1 Introduction -- 8.2 Convergence Rates -- 8.3 Projected Gradient Methods -- 8.4 Asynchronous and Distributed Algorithm Implementations -- 8.5 Non-Smooth Functions -- 8.6 Stochastic Gradient Methods -- 8.7 Stopping Criteria -- 8.8 Algorithm Design Hints -- 8.9 Notes and Sources -- 8.10 Exercises -- References…”
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