Lectures related to Translations and Homotheties

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

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

Covers the definition and properties of the scalar product, including geometric interpretations and algebraic properties.

Covers vector equations of lines in analytical geometry, including finding intersection points and orthogonal projections.

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

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

Covers the definition of applications, image of elements, and direct and reciprocal images.

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

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

Covers the transformation of vectors and tensors in quantum physics.

Introduces the basics of analytical geometry, emphasizing vector representation, operations, and applications in geometry.

Explores the Cartesian product of sets, subsets, and recurrence in mathematics with examples and exercises.

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

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

Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.

Covers the analytical study of lines in a plane, focusing on equations and geometric interpretations.

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Explores indicial notation, vectors, and the transformation law in the context of mass flux density.

Explores geometric transformations like translation and homothety in the plane.

Explores operations and applications of linear algebra in solving equations and transformations.