Functions and Integers

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Related lectures (30)

Relations in Computer Science

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Functions: Definitions and Notations

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Tangent to Graph of a Function

Explores finding the equation of the tangent line to a function's graph at a point.

Number Theory: GCD and LCM

Covers GCD, LCM, and the Euclidean algorithm for efficient computation of GCD.

Real Functions: Graphs and Properties

Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.

Terminologie: Functions Graph Discussion MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

Covers the terminology related to the graph of a function and intervals.

Graph and Diagonal

Discusses the graph of a relation and the concept of separation.

Transformations Affines MOOC: Analysis I MOOC: Analysis I (part 4) : Limit of a function, continuous functions

Covers the concept of affine transformations in functions, including shifting and compressing functions.

Real Functions: Definitions and Properties

Covers the definitions and basic properties of real functions, including domain, image set, notation, and graph.

Number Theory: Greatest Common Divisor and Prime Factorization

Introduces greatest common divisor, prime factorization, and the Euclidean Algorithm.

Number Theory: GCD and LCM

Covers GCD, LCM, and the Euclidean algorithm for efficient computation.

Properties of X/G

Explores the properties of the quotient space X/G when X is compact and sometimes separated.

Linear Algebra: Applications and Definitions

Covers the definition of applications, image of elements, and direct and reciprocal images.

Exponential Family

Covers the concept of the exponential family and discusses forward and backward maps, expensive computations, parameters, functions, and convexity.

Stein Algorithm: Polynomial Identity Testing

Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.

Function Properties: Injective, Surjective, Bijective

Explains injective, surjective, and bijective functions using examples and graphs.

Restriction, Prolongement et Graphe d'une Fonction MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers MOOC: Analysis I

Explains the relationship between two functions through restriction and prolongation, emphasizing the importance of defining a function by its graph.

Mathematical Analysis: Functions and Composition Log in to Mediaspace to watch this video

Covers the analysis of functions, composition, and mathematical induction.

Graphical Definition: Level Sets and Domains Log in to Mediaspace to watch this video

Covers the graphical definition of functions, focusing on level sets and domains.

Advanced Analysis II: Tangent Plan and Differentiability Log in to Mediaspace to watch this video

Explores tangent planes and differentiability in advanced analysis, emphasizing the properties of tangent planes and the conditions for differentiability.

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