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Concept

Linear function

Related lectures (30)

Explores complex roots, conjugate pairs, and quadratic equations solving strategies.

Covers quantifier elimination in Presburger Arithmetic, exposing variables, ensuring coefficients, and handling bounds.

Introduces vector spaces, subspaces, linear maps, and evaluation maps, with examples and exercises for better comprehension.

Explores matrix representations of linear maps and their invariance, using examples and special cases.

Explores simple examples of partial differentiation, demonstrating how to calculate partial derivatives and gradients in various scenarios.

Covers the basics of electrotechnique, including linear elements, current regimes, power types, and practical applications.

Covers the basics of electrotechnique, including linear elements, regimes, power types, and practical applications.

Explores the application of reductions in R² for linear functions, emphasizing the calculation of f composed n times with itself.

Covers the basics of PCA, exercises on dimensionality reduction, and criteria for choosing projections.

Explores linear and non-linear functions in optimization, emphasizing their distinct characteristics and implications in solving problems.

Explores injectivity and surjectivity in linear maps through examples and proofs.

Explores bases, dual spaces, and linear applications in linear algebra.

Explores Goldstone bosons and the Higgs mechanism, revealing how spontaneous symmetry breaking generates mass for gauge bosons.

Explores properties of linear applications, including symmetric matrices and linearity in analysis.

Explores basic functions and criteria in quadrangular finite elements using the finite element method.

Explores linear functions, systems of equations, and geometric interpretations of solutions.

Explores second-order linear scalar homogeneous equations in advanced analysis II.

Explains the construction of natural cubic splines, emphasizing smoothness and continuity in the function representation.

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Covers general elliptic equations, including Dirichlet problems and boundary conditions.