Computational noncommutative algebra and applications

• 其他作者: Byrnes, Jim, , North Atlantic Treaty Organization.
• 出版: Dordrecht ;Boston ;London : Kluwer Academic Publishers ©2004.
• 稽核項: 1 online resource (xiv, 426 pages) :illustrations.
• 叢書名: NATO science series. Series II, Mathematics, physics, and chemistry ;v. 136
• 標題: Informatique , Conference papers and proceedings. , Commutative algebra Data processing. , MATHEMATICS Algebra -- Intermediate. , Algebra konferenser. , AlgebraIntermediate. , Commutative algebra , Algebra , Commutative algebra Data processing -- Congresses. , Electronic books. , Commutative algebra. , Data processing. , Data processing , Computational noncommutative algebra , MATHEMATICS , Algèbre commutative Informatique -- Congrès. , Algèbre commutative , Algèbre commutative Congrès. , konferenser. , Commutative algebra Congresses.
• ISBN: 6610460655 , 9786610460656
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• 附註: Includes bibliographical references and index. Cover -- Contents -- Preface -- Acknowledgments -- Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries -- 1 Geometric algebra -- 2 Projective Geometries -- 3 Affine and other geometries -- 4 Affine Geometry of pseudo-euclidean space -- 5 Conformal Geometry and the Horosphere -- References -- Content-Based Information Retrieval by Group Theoretical Methods -- 1 Introduction -- 2 Motivating Examples -- 3 General Concept -- 4 Fault Tolerance -- 5 Applications, Prototypes, and Test Results -- 6 Related Work and Future Research -- References -- Four Problems in Radar -- 1 Introduction -- 2 Radar Fundamentals -- 3 Radar Waveforms -- 4 Signal Processing -- 5 Space-Time Adaptive Processing -- 6 Four Problems in Radar -- 7 Conclusions -- Introduction to Generalized Classical and Quantum Signal and System Theories on Groups and Hypergroups -- 1 Generalized classical signal/system theory on hypergroups -- 2 Generalized quantum signal/system theory on hypergroups -- 3 Conclusion -- References -- Lie Groups and Lie Algebras in Robotics -- 1 IntroductionRigid Body Motions -- 2 Lie Groups -- 3 Finite Screw Motions -- 4 Mechanical Joints -- 5 Invisible Motion and Gripping -- 6 Forward Kinematics -- 7 Lie Algebra -- 8 The Adjoint Representation -- 9 The Exponential Map -- 10 Derivatives of Exponentials -- 11 Jacobians -- 12 Concluding Remarks -- References -- Quantum/Classical Interface: a Geometric Approach from the Classical Side -- 1 Introduction -- 2 Paravector Space as Spacetime -- 3 Eigenspinors -- 4 Spin -- 5 Dirac Equation -- 6 Bell's Theorem -- 7 Qubits and Entanglement -- 8 Conclusions -- References -- PONS, Reed-Muller Codes, and Group Algebras -- 1 Introduction -- 2 Analytic theory of one-dimensional PONS -- 3 Shapiro sequences, Reed-Muller codes, and functional equations -- 4 Group Algebras -- 5 Reformulation of classical PONS -- 6 Group Algebra of Classical PONS -- 7 Group Algebra Convolution -- 8 Splitting Sequences -- References -- Clif
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