Bounds and Inequalities

Related lectures (20)

Page 1 of 2

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.