Functions and Integers

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Related lectures (30)

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Convex Functions

Covers the properties and operations of convex functions.

Terminologie: Functions Graph Discussion

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

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.

Closure Conversion: Representation and Transformation

Explores the representation and transformation of values, focusing on closure conversion and the challenges of representing functions in functional languages.

Logic and Proof Techniques

Covers integers, rationals, logic, proof techniques, functions, and relations using examples and truth tables.

Number Theory: Greatest Common Divisor and Prime Factorization

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

Differentiable Functions and Lagrange Multipliers

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Shor's algorithm: factoring integers

Covers the basics of Shor's algorithm for factoring integers and the steps involved in the quantum algorithm.