Finite fields | Primality tests
The AKS primality test (also known as Agrawal–Kayal–Saxena primality test and cyclotomic AKS test) is a deterministic primality-proving algorithm created and published by Manindra Agrawal, Neeraj Kayal, and Nitin Saxena, computer scientists at the Indian Institute of Technology Kanpur, on August 6, 2002, in an article titled "PRIMES is in P". The algorithm was the first that can provably determine whether any given number is prime or composite in polynomial time, without relying on mathematical conjectures such as the generalized Riemann hypothesis. The proof is also notable for not relying on the field of analysis. In 2006 the authors received both the Gödel Prize and Fulkerson Prize for their work. (Wikipedia).
From playlist Cryptography
Primality (1 of 2: Fermat's Test)
From playlist Cryptography
Faster Primality Test - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Primality Quiz Solution - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Primality Test Solution - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Primality testing - Andrey Kupavskii
Computer Science/Discrete Mathematics Seminar II Topic: Primality testing Speaker: Andrey Kupavskii Affiliation: Member, School of Mathematics Date: April 7, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Primality Quiz - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Primality Test - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Primality Testing - Miller-Rabin
Using the Miller-Rabin (probabilistic) primality test. NOTE: if bo (and only bo) had been either +1 OR -1, n would be prime (it was 263, in this example). BUT for b1, b2, and so on, +1 implies composite, -1 implies prime. Questions? Feel free to post them in the comments and I'll do my b
From playlist Cryptography and Coding Theory
Prime Numbers - What is Known and Unknown, by Keith Conrad
This talk by Keith Conrad (UConn) was part of UConn's Number Theory Day 2017.
From playlist Number Theory Day
Primal-dual Optimization Methods for Robust Machine Learning
Stephen Wright University of Wisconsin-Madison, USA
From playlist Distinguished Visitors Lecture Series
Solving Cubic Equations - Benedict Gross
Speaker : Benedict Gross Date and Time : 06 Jan 12, 17:15 Venue : AG 66, TIFR, Mumbai I will discuss a problem which has been central in number theory for several centuries -- whether a cubic equation in the plane has infinitely many rational solutions.This led to a precise conjecture by
From playlist Public Lectures
Introduction to additive combinatorics lecture 5.8 --- Freiman homomorphisms and isomorphisms.
The notion of a Freiman homomorphism and the closely related notion of a Freiman isomorphism are fundamental concepts in additive combinatorics. Here I explain what they are and prove a lemma that states that a subset A of F_p^N such that kA - kA is not too large is "k-isomorphic" to a sub
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Clément Canonne: What is deterministic amplification?
Abstract: Suppose we want to solve a given task (say, a decision problem) and have a randomised algorithm for it which is correct; but only with some non-trivial probability, for instance .51. We would like to "amplify" this probability of success to an arbitrarily small amount, as close t
From playlist What is...? Seminars
Home Chandalar Home | Life Below Zero
Glenn risks weather conditions to get back to his home in Chandalar, AK. ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Watch all clips of Life Below Zero here: http://bit.ly/WatchLifeBelowZero ➡ LIFE BELOW ZERO AIRS TUESDAYS 9/8c. About Life Below Zero: Life Below Zero follows six people a
From playlist Life Below Zero | National Geographic
Lecture 14: Discrete Exterior Calculus
CS 468: Differential Geometry for Computer Science
From playlist Stanford: Differential Geometry for Computer Science (CosmoLearning Computer Science)
Lecture 4 | Convex Optimization II (Stanford)
Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd lectures on subgradient methods for constrained problems. This course introduces topics such as subgradient, cutting-plane, and ellipsoid methods. Dec
From playlist Lecture Collection | Convex Optimization
A brief description of the "Basic Principle" and how it can be used to test for primality.
From playlist Cryptography and Coding Theory
Niles Weed :Weak limits for entropic optimal transport II
CONFERENCE Recording during the thematic meeting : "Meeting in Mathematical Statistics " the December 15, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on
From playlist Probability and Statistics