Multiplicative order of a congruence class
In this video we introduce the concept of multiplicative order and we prove several properties and go over some examples. The content of this video corresponds to Section 8.1 of my book "Number Theory and Geometry" which you can find here: https://alozano.clas.uconn.edu/number-theory-and-
From playlist Number Theory and Geometry
Theory of numbers: Multiplicative functions
This lecture is part of an online undergraduate course on the theory of numbers. Multiplicative functions are functions such that f(mn)=f(m)f(n) whenever m and n are coprime. We discuss some examples, such as the number of divisors, the sum of the divisors, and Euler's totient function.
From playlist Theory of numbers
Recent progress in multiplicative number theory – Kaisa Matomäki & Maksym Radziwiłł – ICM2018
Number Theory Invited Lecture 3.5 Recent progress in multiplicative number theory Kaisa Matomäki & Maksym Radziwiłł Abstract: Multiplicative number theory aims to understand the ways in which integers factorize, and the distribution of integers with special multiplicative properties (suc
From playlist Number Theory
Inverse Matrices & Matrix Equations 4 Ex Multiplicative Inverses Full Length
I start by defining the Multiplicative Identity Matrix and a Multiplicative Inverse of a Square Matrix. I then work through three examples finding an Inverse Matrix. Inverse of 2 x 2 Matrix at 5:14 and 14:50 Inverse of a 3 x 3 Matrix at 21:32 Matrix Equation example at 39:58 Check out
From playlist Linear Algebra
Linear Algebra - Lecture 23 - The Inverse of a Matrix
In this lecture, we'll learn about the multiplicative inverse of a matrix. We'll discuss inverses of 2x2 matrices, as well as properties of inverses.
From playlist Linear Algebra Lectures
Definition of the Order of an Element in a Group and Multiple Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of the Order of an Element in a Group and Multiple Examples
From playlist Abstract Algebra
Math 060 091117 Multiplicative Inverses, Elementary Matrices
Multiplicative inverses: definition, examples, uniqueness of. Inverse of a product. Exercise. Invertible matrices and the solution set of a linear system. Elementary row operations correspond to elementary matrices.
From playlist Course 4: Linear Algebra (Fall 2017)
Number Theory | Modular Inverses: Example
We give an example of calculating inverses modulo n using two separate strategies.
From playlist Modular Arithmetic and Linear Congruences
Maria Charina: Algebraic multigrid and subdivision
Abstract: Multigrid is an iterative method for solving large linear systems of equations whose Toeplitz system matrix is positive definite. One of the crucial steps of any Multigrid method is based on multivariate subdivision. We derive sufficient conditions for convergence and optimality
From playlist Numerical Analysis and Scientific Computing
Semirings that are finite and have infinity
Semirings. You can find the simple python script here: https://gist.github.com/Nikolaj-K/f036fd07991fce26274b5b6f15a6c032 Previous video: https://youtu.be/ws6vCT7ExTY
From playlist Algebra
Proof: Order Multiple Powers Give the Identity | Abstract Algebra
If x is a group element of order n, then x^t = e if and only if t is a multiply of the order n. We prove this theorem concerning the multiples of orders directly in two steps, using the division algorithm for one direction. #abstractalgebra #grouptheory Division Algorithm: coming soon Or
From playlist Abstract Algebra
Introduction to number theory lecture 27. Groups and number theory
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We show how many of the theorems of number theory are special cases of theorems of groups t
From playlist Introduction to number theory (Berkeley Math 115)
Linear Algebra 11k: The Commutative Property of Matrix Multiplication - Or Lack Thereof!
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Introduction to number theory lecture 28. Products of groups
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We define products of groups, and rephrase some earlier results in terms of these products.
From playlist Introduction to number theory (Berkeley Math 115)
Kristin Courtney: Generalized inductive limits with asymptotically order zero maps
Talk by Kristin Courtney in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on March 2, 2021
From playlist Talks of Mathematics Münster's reseachers
Title: Generalized Gröbner bases and dimension polynomials of modules over some finitely generated noncommutative algebras
From playlist Applications of Computer Algebra 2014
How To Use The Order of Operations (PEMDAS) – Example Problem
TabletClass Math: https://tcmathacademy.com/ This video explains how to use the order of operations.
From playlist Pre-Algebra
We start discussing how to label matrices and their elements. We then define Order of Matrices and Equal Matrices working an example at 5:49. I then discuss Adding Matrices at 9:40 and work through three examples. Properties of Adding Matrices are explained at 16:00 Scalar Multiplication
From playlist Linear Algebra
Visual Group Thoery, Lecture 5.5: p-groups
Visual Group Thoery, Lecture 5.5: p-groups Before we can introduce the Sylow theorems, we need to develop some theory about groups of prime power order, which we call p-groups. In this lecture, we show that the number of fixed point of a p-group acting on a set S is congruent modulo p to
From playlist Visual Group Theory
Multiplicative Inverse and Reciprocals
http://www.youtube.com/view_play_list?p=8E39E839B4C6B1DE
From playlist Common Core Standards - 6th Grade