Concept

Functional (mathematics)

Related lectures (31)

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

Explores Operator Product Expansion (OPE) and its role in Conformal Bootstrap.

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

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

Explores different notions of function equality, linear functionals, operations on distributions, and the advantages of working with Schwartz' space.

Explores statistical properties, signal representation, discrete signals, and binary signals.

Covers the concept of functional derivatives and their calculation process with examples.

Demonstrates efficient dot product computation and introduces nonlinear boundaries in the original space.

Explores compactness and uniqueness in functional analysis, emphasizing equicontinuity and boundedness.

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

Covers weak derivatives, their properties, and applications in functional analysis.

Explores Fourier series, energy calculation, functional spaces, correlation spectra, and spectral density in signals and systems.

Covers Hilbert's theorem, direct methods, and Sobolev spaces, including classical and modern methods.

Explores fundamental cosmological puzzles related to dark matter and energy.

Covers the Jensen-Type inequality for young meanres and the connection between young and quasi convexity.

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

Explores the dual space of a Hilbert space and weak convergence, focusing on orthonormal bases and separable Hilbert spaces.

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

Covers distributions, linear systems, impulse response, convolution, and examples of linear systems.

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