In mathematics, a diophantine m-tuple is a set of m positive integers such that is a perfect square for any . A set of m positive rational numbers with the similar property that the product of any two is one less than a rational square is known as a rational diophantine m-tuple. (Wikipedia).
Introduction to Solving Linear Diophantine Equations Using Congruence
This video defines a linear Diophantine equation and explains how to solve a linear Diophantine equation using congruence. mathispower4u.com
From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)
From playlist L. Number Theory
Number Theory | Linear Diophantine Equations
We explore the solvability of the linear Diophantine equation ax+by=c
From playlist Divisibility and the Euclidean Algorithm
Diophantine Equations: Polynomials With 1 Unknown ← number theory ← axioms
Learn how to solve a Diophantine Equation that's a polynomial with one variable. We'll cover the algorithm you can use to find any & all integer solutions to these types of equations. written, presented, & produced by Michael Harrison #math #maths #mathematics you can support axioms on
From playlist Number Theory
Theory of numbers: Linear Diophantine equations
This lecture is part of an online undergraduate course on the theory of numbers. We show how to use Euclid's algorithm to solve linear Diophantine equations. As a variation, we discuss the problem of solving equations in non-negative integers. We also show how to solve systems of linear D
From playlist Theory of numbers
Solve Diophantine Equation by Factoring
#shorts #mathonshorts
From playlist Elementary Number Theory
Alexander Gorodnik - Diophantine approximation and flows on homogeneous spaces (Part 2)
The fundamental problem in the theory of Diophantine approximation is to understand how well points in the Euclidean space can be approximated by rational vectors with given bounds on denominators. It turns out that Diophantine properties of points can be encoded using flows on homogeneous
From playlist École d’été 2013 - Théorie des nombres et dynamique
Alexander Gorodnik - Diophantine approximation and flows on homogeneous spaces (Part 3)
The fundamental problem in the theory of Diophantine approximation is to understand how well points in the Euclidean space can be approximated by rational vectors with given bounds on denominators. It turns out that Diophantine properties of points can be encoded using flows on homogeneous
From playlist École d’été 2013 - Théorie des nombres et dynamique
Diophantine Equation: ax+by=gcd(a,b) ← Number Theory
Once you know how to solve diophantine equations with a single variable, the next step in complexity is to consider equations with two variables. The simplest such equations are linear and take the form ax+by=c. Before we solve this equation generally, we need a preliminary result. We s
From playlist Number Theory
MULTIPLICATION 101 - But what even 𝐈𝐒 4*8 [ Math Snaccs #2 ]
Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy https://shop.spreadshirt.de/papaflammy 2nd Channel: https://www.youtube.com/channel/UCPctvztDTC3qYa2amc8eTrg Uncut: https://youtu.be/m3UCkXcCTc0
From playlist Math Snaccs
Alexander Gorodnik - Diophantine approximation and flows on homogeneous spaces (Part 1)
The fundamental problem in the theory of Diophantine approximation is to understand how well points in the Euclidean space can be approximated by rational vectors with given bounds on denominators. It turns out that Diophantine properties of points can be encoded using flows on homogeneous
From playlist École d’été 2013 - Théorie des nombres et dynamique
[Rust Programming] Advent of Code 2016 Day 14 - One-Time Pad
My Rust solution for Day 14 of Advent of Code 2016. [NOTE: This video was streamed October 2022] I livestream these on twitch when I can, on occasional weekday mornings, starting between 7 and 7:30am Eastern/US time. I usually stream for about 1-2 hours, depending on how well my voice ho
From playlist Advent of Code 2016
OSB 2015 - Introduction to data munging with pandas and IPython Notebook - Melissa Lewis
This talk will go over importing, exploring, and exporting your data, and common issues you may encounter.
From playlist Open Source Bridge 2015