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Geophysical definition of planet
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Mutual Information: Continued
Explores mutual information for quantifying statistical dependence between variables and inferring probability distributions from data.
Stiffness vs Strength: Deformation and Load
Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.
Hyperbolic Geometry
Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Linear Algebra: Orthogonal Bases and Hermitian Forms
Covers orthogonal bases and Hermitian forms in linear algebra.
Piecewise Linear Interpolation and Spline Interpolation
Covers piecewise linear and spline interpolation methods, stability, convergence, and data interpolation using splines.
Hidden Markov Models: Primer
Introduces Hidden Markov Models, explaining the basic problems and algorithms like Forward-Backward, Viterbi, and Baum-Welch, with a focus on Expectation-Maximization.
Orthogonality and Least Squares Method
Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.
Finite Dimensional Spaces
Explores finite dimensional spaces, covering extraction process, bases generation, and space completion.
Properties of Weak Derivatives
Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.
Iterative Methods for Linear Equations
Covers iterative methods for solving linear equations and analyzing convergence, including error control and positive definite matrices.