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Concept

Inequality (mathematics)

Related lectures (31)

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

Explores geodesically strongly convex functions and their relation to the Polyak-Łojasiewicz condition.

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

Delves into powers and roots, emphasizing irrational equations and the disjunction of cases.

Explores the predictions of classical and quantum theories, focusing on Bell inequalities.

Covers upper and lower bounds, Jensen's inequality, and amended bounds in mathematical analysis.

Presents an example of inequalities, demonstrating sets and valid intervals.

Discusses periodic functions, integrals, and approximations using trigonometric polynomials and proofs of related theorems.

Explores absolute values in equations and inequalities, focusing on solving |f(x)| = g(x).

Introduces convex sets and functions, discussing minimizers, optimality conditions, and characterizations, along with examples and key inequalities.

Covers proofs by mathematical induction and the number of subsets of a finite set.

Explores inequalities for random variables, including Cauchy-Schwarz, Jensen, and Chebyshev.

Explores Hoeffding's and Azuma's inequalities, emphasizing finite difference martingales and exponential bounds.

Covers measure spaces, integration, Radon-Nikodym property, and inequalities like Jensen, Hölder, and Minkowski.

Introduces mathematical induction principles and applications, including inequalities, divisibility, subsets, and strong induction.

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

Explores cylindrical coordinates in R^3, emphasizing continuity and class C properties.

Explores analytical trajectories, emphasizing critical points, inequalities, and analyticity.

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

Covers the Cauchy-Schwarz inequality and the Lagrange identity in R^n with related mathematical expressions and proofs.