Lectures related to Non-linear Des Model

Translations and Homotheties

Covers translations, homotheties, and geometric transformations using vectors and matrices.

Representation of Gauss

Covers the representation of complex numbers and their applications in mathematical transformations.

Diffeomorphism and implicit functions

Explores diffeomorphisms, implicit functions, and coordinate transformations in advanced analysis.

Coordinate Change: Chapter 4

Explores coordinate changes between polar and Cartesian coordinates, and introduces the spherical coordinate system.

Coordinate Change: Polar and Spherical Coordinates

Covers coordinate changes, focusing on polar and spherical coordinates and their transformations, determinants, and invertibility.

Coordinate Changes: Polar and Spherical

Explores differentiability and coordinate transformations between polar and spherical systems.

Translations and Homotheties

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Transformations of Input or Output

Covers handling missing data, feature engineering, and output transformations in machine learning.

Linear Transformations: Matrices and Applications

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Geometric Transformations: Rotations

Covers the analytical expression of rotations in different coordinate systems.

Linear Applications: Matrices and Transformations

Covers linear applications, matrices, transformations, and the principle of superposition.

Volume Calculation of Revolution Bodies

Explores volume calculation of revolution bodies using mathematical formulas and inequalities.

Homotheties and Translations

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Symmetry in Modern Geometry

Delves into modern geometry, covering transformations, isometries, and symmetries.

Coordinate Vector Operations

Explores coordinate vector operations, from digitizing points to transforming and manipulating geometric spaces using coordinates.

Translations and Homotheties

Explores translations and homotheties, discussing their properties and practical applications in preserving geometric characteristics.

Geometric Transformations in the Plane: Examples

Explores geometric transformations in the plane through rotation and reflection examples, emphasizing analytical formulas and characteristic elements.

Linear Models: Estimation and Inference

Covers the estimation and inference of linear models in statistical data science.

Compactness Criterion in Reductive Groups

Discusses the Godement Compactness Criterion in reductive groups and covolume computations.

Properties of Fourier Transform

Explores the properties and applications of the Fourier transform in signal processing and mathematics.