The binary GCD algorithm, also known as Stein's algorithm or the binary Euclidean algorithm, is an algorithm that computes the greatest common divisor of two nonnegative integers. Stein's algorithm uses simpler arithmetic operations than the conventional Euclidean algorithm; it replaces division with arithmetic shifts, comparisons, and subtraction. Although the algorithm in its contemporary form was first published by the Israeli physicist and programmer Josef Stein in 1967, it may have been known by the 2nd century BCE, in ancient China. (Wikipedia).
The Euclidean Algorithm: How and Why, Visually
We explain the Euclidean algorithm to compute the gcd, using visual intuition. You'll never forget it once you see the how and why. Then we write it out formally and do an example. This is part of a playlist on GCDs and the Euclidean algorithm: https://www.youtube.com/playlist?list=PLrm
From playlist GCDs and Euclidean algorithm
Euclidean Algorithm and GCDs (Ex. 1)
This video gives an example of how and why the Euclidean algorithm is used to find the gcd of two numbers. Like so: gcd(x,y) = ?. -Here's a second example:http://youtu.be/CtUsUnHz9ek -Here's an example of using the Euclidean algorithm to find a multiplicative inverse: http://youtu.be/K5nb
From playlist Cryptography and Coding Theory
Euclidean Algorithm and Multiplicative Inverse (Ex. 1)
This video gives an example of how to use the Euclidean algorithm for finding a multiplicative inverse like this: x^-1 mod n = ?. For a second example: http://youtu.be/V2Ae-yEGq08 For using the algorithm to find gcd instead: http://youtu.be/WA4nP-iPYKE
From playlist Cryptography and Coding Theory
GCD, Euclidean Algorithm and Bezout Coefficients
GCD, Euclidean Algorithm and Bezout Coefficients check out an earlier video on gcd. https://youtu.be/mQMksLNscY4
From playlist Elementary Number Theory
Extended Euclidean Algorithm to Solve Linear Diophantine Equation
#shorts #mathonshorts Check out the videos on the GCD, Euclidean algorithms here Two Basic Theorems on gcd (Greatest Common Divisors) of Two Integers (Bezout's Identity) https://youtu.be/mQMksLNscY4 An Example of GCD, and Extended Euclidean Algorithm In Finding the Bezout Coefficients h
From playlist Elementary Number Theory
Optimizing Code in the Wolfram Compiler
In this talk, Mark Sofroniou gives an introductory overview of the design and current state of the Wolfram Compiler. He outlines the benefits of using an intermediary representation that maps to LLVM and describes how this has influenced recent improvements to the implementation. Examples
From playlist Wolfram Technology Conference 2020
Euclidean Algorithm and Multiplicative Inverse (Ex. 2)
This video is a second example of how to find a multiplicative inverse using the Euclidean algorithm. (Problems that look like this: x^-1 mod n = ??) -For the first example: http://youtu.be/K5nbGbN5Trs -For how to use the algorithm to find a gcd: http://youtu.be/WA4nP-iPYKE
From playlist Cryptography and Coding Theory
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015
2.1.2 Euclidean Algorithm: Video
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist Computer - Cryptography and Network Security
Euclidean Algorithm and GCDs (Ex. 2)
This video gives an example of how the Euclidean algorithm is used to find the gcd of two numbers. Like so: gcd(x,y) = ?. -Here's the first example: http://youtu.be/WA4nP-iPYKE -Here's a video for using the Euclidean algorithm to find a multiplicative inverse: http://youtu.be/K5nbGbN5Trs
From playlist Cryptography and Coding Theory
Minimization and reduction of plane curves - Stoll - Workshop 2 - CEB T2 2019
Michael Stoll (Universität Bayreuth) / 27.06.2019 Minimization and reduction of plane curves When given a plane curve over Q, it is usually desirable (for computational purposes, for example) to have an equation for it with integral coefficients that is ‘small’ in a suitable sense. Ther
From playlist 2019 - T2 - Reinventing rational points
Abstract Algebra | Writing a polynomial gcd as a combination -- example.
We give an example of Bezout's identity in polynomials. This involves the extended Euclidean algorithm for polynomials. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcol
From playlist Abstract Algebra
Get the Code Here: http://goo.gl/7u73U Welcome to my 2nd video on Binary Trees in Java. If you haven't seen part 1, definitely watch it first or this will be confusing binary tree in Java. In this part of the tutorial, I will take you step-by-step through the process of deleting nodes in
From playlist Java Algorithms
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Tom Wickham-Jones Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices,
From playlist Wolfram Technology Conference 2017
Discrete Structures: Multiplicative inverse, Euler's totient function, and Euler's theorem
This is a continuation of the previous live stream session. Learn more about Euler's totient function and how we can use it, along with Euler's theorem, to compute the multiplicative inverse of any number (a mod n). We'll also learn about the extended Euclidean algorithm to compute the mul
From playlist Discrete Structures, Spring 2022
(November 3, 2010) Speakers Alexander Stepanov and Paul McJones give a presentation on the book titled "Elements of Programming". They explain why they wrote and attempt to explain their book. They describe programming as a mathematical discipline and that it is extremely useful and shoul
From playlist Engineering
From playlist Cryptography Lectures
Introduction to Number Theory (Part 4)
The Euclidean algorithm is established and Bezout's theorem is proved.
From playlist Introduction to Number Theory