Adjoint Orbits, Principal Components, and Neural Nets • • • • •

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• Lie algebra
• Orthogonal group
• Orthogonal matrix
• Matrix
• Killing form
• Eigenvalues and eigenvectors
• Adjoint
• Adjoint representation of a Lie group
• Hilbert space
• Algebra
• Lie groups
• Mathematics

Dynamical Systems and Computational Mechanisms Belgium Workshop July 1-2 , 2002 Roger Brockett

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• Differential topology
• Systems theory
• Dynamical systems
• Mathematical structures
• Quantization
• Computation
• Degree of a continuous mapping
• Curve
• Manifold
• Topology
• Mathematics
• Structure

Dynamical Systems and Their Associated Automata R. W. Brockett Abstract This paper studies problems related to the construction of a robust correspondence between an automaton and a continuous-time dynamical system of th

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• Algebra
• Differential geometry
• Symbol
• Forcing
• Skew-symmetric matrix
• Ordinary differential equations
• Spectral theory
• Spectral theory of ordinary differential equations
• Theorems and definitions in linear algebra
• Mathematics
• Mathematical analysis
• Matrices

1116 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 45, NO. 6, JUNE 2000 Nonlinear Feedback Systems Perturbed by Noise: Steady-State Probability Distributions and Optimal

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• Systems theory
• Physical chemistry
• Quantum mechanics
• Stochastic processes
• Lyapunov stability
• Control theory
• Steady state
• Fokker–Planck equation
• Statistical mechanics
• Science
• Physics
• Equations

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