One-dimensional space

Formal sciences
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Related lectures (31)

Kernel Regression: Basics and Applications

Explores kernel regression, the curse of dimensionality, and random features in neural networks.

Kernel Methods: Efficient Dot Product Computation

Demonstrates efficient dot product computation and introduces nonlinear boundaries in the original space.

Quantum Physics I

Delves into orbital angular momentum, spherical harmonics, and central potentials in quantum physics.

Linear Models: LASSO and AMP

Covers linear problems, LASSO, and AMP in supervised learning, including Generalized Linear Models and N-dimensional models.

Black Holes and String Theory

Explores black holes and string theory solutions in higher-dimensional space.

Mechanical Construction Basics

Introduces the fundamental principles of mechanical construction and the importance of accurate dimensioning for technical drawings.

Matrices: Elementary Linear Algebra

Explores elementary linear algebra concepts related to matrices, including invertible connections and matrix rank.

The Coordinate Ring of a Linearly Reductive Group

Covers the properties of the coordinate ring of a linearly reductive group.

Norms and Distances in Analysis II

Discusses norms, distances, and the classification of open and closed sets in mathematical analysis.

Tangent spaces to submanifolds

Introduces tangent spaces to submanifolds and their properties in optimization on manifolds.

Hamilton-Jacobi Equation: Phase Portrait Analysis

Explores the Hamilton-Jacobi equation and phase portrait analysis in one-dimensional systems, emphasizing the relationship between variables and system evolution.

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