Lectures related to Bounds and Inequalities

Covers lattices, abstract interpretation, fixpoint analysis, Hoare logic, and partial orders with extreme elements.

Explores the equivalence of inequalities to determine the least upper bound of a set.

Covers minimum, maximum, infimum, and supremum concepts in real numbers with examples and proofs.

Covers the concept of supremum in real numbers and its properties as the least upper bound of a set.

Covers the properties of supremum and infimum in sets, including uniqueness and symmetry.

Explains the concept of infimum in real numbers and its properties.

Introduces real numbers, their properties, and their significance in analysis.

Explores subtyping, type calculus, and type bounds calculation in a system with subtyping, guiding through exercises and proofs step by step.

Introduces partial orderings, lattices, and lexicographic orderings on Cartesian products.

Explores the definitions and properties of infimum and supremum in mathematical analysis.

Covers the properties of real numbers, including bounds, density, and absolute value.

Explores real numbers' properties, bounds, limits, and density in the number line.

Explores the convergence of numerical sequences through monotonicity, boundedness, linear recurrence, and subsequences.

Covers the concept of monotone and bounded sequences, discussing their convergence and majorants.

Covers the fundamental concepts related to real numbers, including sets, notations, and operations.

Covers advanced concepts in generics and subtyping in Java, focusing on LinkedList implementation and List interface.

Discusses signal representation, focusing on mathematical expressions and inequalities in signal processing.

Explores expectation value, convex functions, weights, and inequalities in mathematical analysis.

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