Lectures related to Transformation (function)

Linear Transformations: Matrices and Applications

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

Translations and Homotheties

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

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.

Transformations of Input or Output

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

Translations and Homotheties

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

Reflection and Rotation Composition

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

Elements of Lie Groups and Algebras

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Rotations (2D): Definitions and Analytical Expressions

Covers the concept of 2D rotations and their analytical expressions.

Spherical Tensors and Wigner-Eckart Theorem

Covers the transformation of vectors and tensors in quantum physics.

Geometric Transformations in the Plane: Examples

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

Isometries: Transformations Preserving Distances

Covers isometries, transformations preserving distances and properties related to collinearity.

Distortion of the Square

Explores mathematical concepts related to square distortions and optimal solutions.

Fourier Transform: Analysis Tools

Explores Fourier transform analysis tools and the importance of computational intelligence in function transformation.

Orthogonal Projection on Straight Line

Explores orthogonal projection on straight lines in analytic geometry, focusing on projection matrices and symmetrical properties.

Decomposition LLT: Example

Explains the decomposition LL² with an example and detailed calculations.

Vector Transformation and Tense

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Geometric Transformations in R2 and R3

Explores geometric transformations in R2 and R3, including reflections, rotations, and practical applications like billiards.

Translations and Homotheties

Covers translations, homotheties, and their geometric properties, including reversibility and composition.

Social Change: Solidarity and Critique

Explores the importance of solidarity and critique in driving social change.