Kernel Methods: Feature Mapping and Kernel Matrix

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Explores the classification and practical applications of symmetries in 3D space, emphasizing user-driven determination of object symmetries.

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Explores Noether's currents, symmetry transformations, mass terms, angular momentum, and Lorentz invariance in Dirac theory.

Explores the symmetries of the wave equation under Lorentz transformations and the Poincare group.

Covers characteristic functions, their properties, inversion formula, and factorization property in probability theory.

Discusses isometric triangles, their properties, conditions for determination, and distance between points.

Explores the symmetry of vectors with respect to a line in Analytical Geometry.

Introduces central symmetry, an isometry fixing a point and transforming other points.

Explores the modern definition of symmetry and its practical applications.