Lectures related to Triangle inequality

Explores norm equivalence in complex functions, covering homogeneity and triangular inequality.

Covers the standard properties of distance and norm in vector spaces.

Explores the Euclidean norm properties, special cases, and applications of the Cauchy-Schwarz inequality.

Explores the Euclidean norm, triangular inequality, and distance calculations in R².

Explores orthogonality, triangle inequality, and the Pythagorean theorem in vector spaces.

Explores inequalities on real numbers, including real intervals and comparison properties.

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

Explores orthogonality, scalar product, and orthonormal bases in vector spaces.

Explores Banach spaces, emphasizing reflexivity and sequence convergence in a rigorous mathematical framework.

Explores convergence and limits in sequences of real numbers, including uniqueness and boundedness.

Explores o-finite and finite measure spaces, probability measures, and inequalities, concluding with LP space completeness.

Covers the concept of distance in the plane, distance axioms, triangle construction, and triangle side properties.

Explores the limitations of GDP per capita as an indicator of welfare and delves into the shadow economy and unpaid work importance.

Explores the Cauchy-Schwarz inequality, norms, and inner products in a real inner product space.

Explores complex numbers, including modulus, conjugation, and Euler formula.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers concentration inequalities and sampling methods for estimating unknown distributions, with a focus on population infection rates.

Explores the extension and properties of multiple integrals for continuous functions on rectangles.

Discusses norms, distances, and the classification of open and closed sets in mathematical analysis.

Explores norms, distances, scalar products, and norm convergence in metric spaces.