Cyclic Groups (Abstract Algebra)
Cyclic groups are the building blocks of abelian groups. There are finite and infinite cyclic groups. In this video we will define cyclic groups, give a list of all cyclic groups, talk about the name “cyclic,” and see why they are so essential in abstract algebra. Be sure to subscribe s
From playlist Abstract Algebra
Cyclic Groups, Generators, and Cyclic Subgroups | Abstract Algebra
We introduce cyclic groups, generators of cyclic groups, and cyclic subgroups. We discuss an isomorphism from finite cyclic groups to the integers mod n, as well as an isomorphism from infinite cyclic groups to the integers. We establish a cyclic group of order n is isomorphic to Zn, and a
From playlist Abstract Algebra
Abstract Algebra | Subgroups of Cyclic Groups
We prove that all subgroups of cyclic groups are themselves cyclic. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Definition of a Cyclic Group with Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Cyclic Group with Examples
From playlist Abstract Algebra
Cyclic groups are first and foremost, as the term implies, groups. What makes them cyclic is that at least on of the elements in the set that makes up the group under a specific binary operation can generate the group by performing the binary operation on itself. So, if a is an element o
From playlist Abstract algebra
Abstract Algebra | Cyclic Subgroups
We define the notion of a cyclic subgroup and give a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Direct Products of Finite Cyclic Groups Video 1
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Direct Products of Finite Cyclic Groups Video 1. How to determine if a direct product of finite cyclic groups is itself cyclic. This video has very easy examples.
From playlist Abstract Algebra
Multivariable Calculus | The notion of a vector and its length.
We define the notion of a vector as it relates to multivariable calculus and define its length. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
Example of Rational Canonical Form 3
Matrix Theory: We note two formulations of Rational Canonical Form. A recipe is given for combining and decomposing companion matrices using cyclic vectors.
From playlist Matrix Theory
30.3 Cross Product in Cartesian Coordinates
MIT 8.01 Classical Mechanics, Fall 2016 View the complete course: http://ocw.mit.edu/8-01F16 Instructor: Dr. Peter Dourmashkin License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 8.01SC Classical Mechanics, Fall 2016
Lec 32 | MIT 18.085 Computational Science and Engineering I, Fall 2008
Lecture 32: Convolution (part 2); filtering License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.085 Computational Science & Engineering I, Fall 2008
Joseph Landsberg: "Geometry associated to tensor network states"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop II: Tensor Network States and Applications "Geometry associated to tensor network states" Joseph Landsberg (Clay Scholar) - Texas A&M University - College Station Abstract: I will discuss geometric i
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
Module Basics - Feb 17, 2021 - Rings and Modules
In this video we introduce basic notions like "cyclic" modules. This is the starting point for modules over PIDs.
From playlist Course on Rings and Modules (Abstract Algebra 4) [Graduate Course]
Barry Mazur - Logic, Elliptic curves, and Diophantine stability
This is the third lecture of the 2014 Minerva Lecture series at the Princeton University Mathematics Department. October 17, 2014 An introduction to aspects of mathematical logic and the arithmetic of elliptic curves that make these branches of mathematics inspiring to each other. Speci
From playlist Minerva Lectures - Barry Mazur
Lecture 30: Completing a Rank-One Matrix, Circulants!
MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k Professor Strang s
From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018
Visualization of tensors - part 1
This video visualizes tensors. It shows some introduction to tensor theory and demonstrates it with the Cauchy stress tensor. Future parts of this series will show more theory and more examples. It talks about the term 'tensor' as used in physics and math. In the field of AI the term 'te
From playlist Animated Physics Simulations
Lecture 32: ImageNet is a Convolutional Neural Network (CNN), The Convolution Rule
MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k Professor Strang b
From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018
31. Eigenvectors of Circulant Matrices: Fourier Matrix
MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k This lecture conti
From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018
Support Varieties for Modular Representations - Eric M. Friedlander
Members’ Seminar Topic: Support Varieties for Modular Representations Speaker: Eric M. Friedlander Affiliation: University of Southern California; Member, School of Mathematics Date: November 30, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Every Cyclic Group is Abelian | Abstract Algebra
We prove every cyclic group is abelian by taking two arbitrary elements from an arbitrary cyclic group and showing they commute. Recall a cyclic group is entirely generated by all powers of a particular element. #abstractalgebra #grouptheory Cyclic Groups, Generators, and Cyclic Subgroup
From playlist Abstract Algebra