Number Theory: Greatest Common Divisor and Prime Factorization

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (35)

Euclidean Algorithm: GCD Calculation Log in to Mediaspace to watch this video

Covers the Euclidean algorithm for GCD calculation and algorithmic complexity analysis.

Mathematical Parenthesis on Groups and Lagrange Theorem Log in to Mediaspace to watch this video

Explores cosets in commutative groups, Lagrange theorem, and integer factorization.

Polynomial Factorization: Field Approach Log in to Mediaspace to watch this video

Covers the factorization of polynomials over a field, including division with remainder and common divisors.

Integers and Rings Log in to Mediaspace to watch this video

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.

Quantum Order Finding with QPE Log in to Mediaspace to watch this video

Covers the Quantum Order Finding algorithm using Quantum Phase Estimation (QPE), focusing on Shor's factoring algorithm.

Introduction to Algorithms Log in to Mediaspace to watch this video

Covers the concept of algorithms, loop invariants, and examples of algorithmic problem-solving.

Untitled Log in to Mediaspace to watch this video

Number Theory: Operations and Equivalence Log in to Mediaspace to watch this video

Covers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.

Shor Algorithm: Period Finding Log in to Mediaspace to watch this video

Covers the Shor Algorithm for period finding and its application in factorization, discussing the circuit implementation and measurement outcomes.

Properties of Euclidean Domains Log in to Mediaspace to watch this video

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

Hermite Normal Form: Computation & Properties Log in to Mediaspace to watch this video

Covers the computation and properties of the Hermite Normal Form (HNF) in matrix theory and lattice theory.

Graph Sketching: Connected Components Log in to Mediaspace to watch this video

Covers the concept of graph sketching with a focus on connected components.

Summation Formulas of Arithmetic Functions Log in to Mediaspace to watch this video

Covers the Euler-Maclaurin summation formula and the method of convolution for evaluating arithmetic functions.

Polynomes: Irreducible Polynomials and Gaussian Lemma Log in to Mediaspace to watch this video

Introduces irreducible polynomials and the Gaussian lemma for polynomial factorization.

Phenomenological Applications of the Standard Model Log in to Mediaspace to watch this video

Explores the verification of the standard model through scattering experiments and the implications of minimal dark matter models.

Page 2 of 2