Concept

Upper and lower bounds

Related lectures (31)

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

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

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

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

Covers topics on relations, sequences, and summations, including lattices, recurrence relations, and sigma notation.

Explains the definitions and properties of maximum, minimum, supremum, and infimum in real numbers.

Explores two lower bounds for the analytical Traveling Salesman Problem, focusing on H(K) and H'(r) functions.

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

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

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.

Explores the Cauchy-Hadamard theorem on convergence radius of power series and real analytical solutions.

Explores distribution estimation methods, fitness functions, and the importance of selecting the right estimator for accurate results.

Covers solutions to true/false questions on subsets, upper bounds, real numbers, and set properties.

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

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

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

Covers exact methods for integer optimization, emphasizing Branch and Bound techniques.

Covers partially ordered sets, maximal elements, upper bounds, and the Zorn lemma in functional analysis.