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Covers trust region methods, focusing on the framework and algorithms.
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Explores Sylvester's Inertia Theorem, relating eigenvalues to diagonal entries in symmetric matrices.
Matrix Operations: Rules and Applications
Covers matrix operations, including multiplication, transposition, powers, and inverses, and explains how to determine if a matrix is invertible.
Solid Kinematics: Translate and Rotate
Explains solid body kinematics, focusing on translation and rotation principles and main inertia axes.
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Covers the theory and practical aspects of Monte Carlo simulations in molecular dynamics, including ensemble averages and Metropolis algorithm.
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Explores linear systems and iterative methods like gradient descent and conjugate gradient for efficient solutions.

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