Search Results - "polynomial"

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    Abstract Algebra Theory and Applications by Judson, Thomas W.

    Published 2016
    Table of Contents: “…Preliminaries -- The Integers -- Groups -- Cyclic Groups -- Permutation Groups -- Cosets and Lagrange's Theorem -- Introduction to Cryptography -- Algebraic Coding Theory -- Isomorphisms -- Normal Subgroups and Factor Groups -- Homomorphisms -- Matrix Groups and Symmetry -- The Structure of Groups -- Group Actions -- The Sylow Theorems -- Rings -- Polynomials -- Integral Domains -- Lattices and Boolean Algebras -- Vector Spaces -- Fields -- Finite Fields -- Galois Theory…”
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    Computer Aided Verification 33rd International Conference, CAV 2021, Virtual Event, July 20-23, 2021, Proceedings, Part I /

    Published 2021
    Table of Contents: “…-- Checking Data-Race Freedom of GPU Kernels, Compositionally -- GenMC: A Model Checker for Weak Memory Models -- Hybrid and Cyber-Physical Systems -- Synthesizing Invariant Barrier Certificates via Difference-of-Convex Programming -- An Iterative Scheme of Safe Reinforcement Learning for Nonlinear Systems via Barrier Certificate Generation -- HybridSynchAADL: Modeling and Formal Analysis of Virtually Synchronous CPSs in AADL -- Computing Bottom SCCs Symbolically Using Transition Guided Reduction -- Implicit Semi-Algebraic Abstraction for Polynomial Dynamical Systems -- IMITATOR 3: Synthesis of timing parameters beyond decidability -- Formally Verified Switching Logic for Recoverability of Aircraft Controller -- SceneChecker: Boosting Scenario Verification using Symmetry Abstractions -- Effective Hybrid System Falsification Using Monte Carlo Tree Search Guided by QB-Robustness -- Fast zone-based algorithms for reachability in pushdown timed automata -- Security -- Verified Cryptographic Code for Everybody -- Not All Bugs Are Created Equal, But Robust Reachability Can Tell The Difference -- A Temporal Logic for Asynchronous Hyperproperties -- Product Programs in the Wild: Retrofitting Program Verifiers to Check Information Flow Security -- Constraint-based Relational Verification -- Pre-Deployment Security Assessment for Cloud Services through Semantic Reasoning -- Synthesis -- Synthesis with Asymptotic Resource Bounds -- Program Sketching by Automatically Generating Mocks from Tests -- Counterexample-Guided Partial Bounding for Recursive Function Synthesis -- PAYNT: A Tool for Inductive Synthesis of Probabilistic Programs -- Adapting Behaviors via Reactive Synthesis -- Causality-based Game Solving.…”
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    Linear Algebra with Applications by Nicholson, W. Keith

    Published 2021
    Table of Contents: “…1 Systems of Linear Equations -- 2 Matrix Algebra -- 3 Determinants and Diagonalization -- 4 Vector Geometry -- 5 Vector Space R -- 6 Vector Spaces -- 7 Linear Transformations -- 8 Orthogonality -- 9 Change of Basis -- 10 Inner Product Spaces -- 11 Canonical Forms -- A Complex NumbersB ProofsC Mathematical InductionD PolynomialsSelected Exercise Answers…”
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    Elementary Algebra by Redden, John

    Published 2011
    Table of Contents: “…Chapter 1: Real Numbers and Their Operations -- Chapter 2: Linear Equations and Inequalities -- Chapter 3: Graphing Lines -- Chapter 4: Solving Linear Systems -- Chapter 5: Polynomials and Their Operations -- Chapter 6: Factoring and Solving by Factoring -- Chapter 7: Rational Expressions and Equations -- Chapter 8: Radical Expressions and Equations -- Chapter 9: Solving Quadratic Equations and Graphing Parabolas -- Chapter 10: Appendix: Geometric Figures…”
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    Elementary Algebra by Ellis, Wade, Burzynski, Denny

    Published 2010
    Table of Contents: “…1 Arithmetic Review -- 2 Basic Properties of Real Numbers -- 3 Basic Operations with Real Numbers -- 4 Algebraic Expressions and Equations -- 5 Solving Linear Equations and Inequalities -- 6 Factoring Polynomials -- 7 Graphing Linear Equations and Inequalities in One and Two Variables -- 8 Rational Expressions -- 9 Roots, Radicals, and Square Root Equations -- 10 Quadratic Equations -- 11 Systems of Linear Equations -- 12 Appendix…”
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    Calculus for the Life Sciences A Modeling Approach by Cornette, James L., Ackerman, Ralph A.

    Published 2011
    Table of Contents: “…1 Mathematical Models of Biological Processes -- 2 Functions -- 3 The Derivative -- 4 Continuity and the Power Chain Rule -- 5 Derivatives of the Exponential and Logarithm Functions -- 6 Derivatives of Products, Quotients, and Compositions -- 7 Derivatives of Trigonometric Functions -- 8 Applications of Derivatives -- 9 The Mean Value Theorem and Taylor's Polynomials -- 10 Partial Derivatives and the Diffusion Equation -- 11 The Integral -- 12 The Fundamental Theorem of Calculus -- 13 Applications of the Fundamental Theorem of Calculus…”
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