Lectures related to Minkowski functional

Explores quantum dynamics with trajectories and their applications in nonadiabatic dynamics and coupling with external fields.

Explores functional spaces, linear applications, sublinear functionals, and the Hahn-Banach theorem.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Covers the theory and applications of optimization with constraints, including key concepts and numerical methods.

Covers sublinear functionals, linear functionals extension, and Hahn-Banach theorem.

Explores digital integration, uniform bounds, weak convergence, and norm homogeneity in functional analysis.

Explores Density Functional Theory, its foundations, practical applications, functionals, and challenges in kinetic energy expression.

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Covers the resolution of linear systems and its link to optimization problems.

Introduces Lp spaces, covering norms, inequalities, and integrability of functions.

Covers the fundamentals of Density Functional Theory, including its popularity, practical advantages, and applications in chemistry.

Explores Minkowski's theorems on lattices, volumes, and set comparisons.

Explores the construction of measures, focusing on positive functionals and their properties in measure theory.

Explores data-parallel programming with vector processors and SIMD, and introduces MapReduce, Pregel, and TensorFlow.

Explores lattices, Minkowski's Theorem, and properties of symmetric convex sets.

Explores the importance of aggregate risk and coherent risk measures, including their interpretation and implications.