In mathematics, and in particular the study of algebra, an Akivis algebra is a nonassociative algebra equipped with a binary operator, the commutator and a ternary operator, the associator that satisfy a particular relationship known as the Akivis identity. They are named in honour of Russian mathematician Maks A. Akivis. Formally, if is a vector space over a field of characteristic zero, we say is an Akivis algebra if the operation is bilinear and anticommutative; and the trilinear operator satisfies the Akivis identity: An Akivis algebra with is a Lie algebra, for the Akivis identity reduces to the Jacobi identity. Note that the terms on the right hand side have positive sign for even permutations and negative sign for odd permutations of . Any algebra (even if nonassociative) is an Akivis algebra if we define and . It is known that all Akivis algebras may be represented as a subalgebra of a (possibly nonassociative) algebra in this way (for associative algebras, the associator is identically zero, and the Akivis identity reduces to the Jacobi identity). (Wikipedia).
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Kivy crash course 1: Making a simple App
Update: I started writing these tutorials up as standalone blog posts covering the same topics. You can find this one at http://inclem.net/2014/01/09/kivy-crash-course/1_making-a-simple-app/ Kivy [1] is a cross-platform graphical framework for python. One of its great advantages is that y
From playlist Kivy crash course
Kivy crash course 3: More interesting widget interactions
In the third part of this kivy crash course, we head back to python to give our simple kivy program some more interesting behaviour - rather than just having a kivy scatter handle everything, we bind a new textinput widget to let the user edit the text of the label. If you want to follow
From playlist Kivy crash course
Kivy with Python tutorial Part 2 - Widgets and Labels
In this Kivy application development tutorial, we cover widgets and labels, as well as diving into some of the extensive Kivy documentation. sample code: http://pythonprogramming.net http://seaofbtc.com http://sentdex.com http://hkinsley.com https://twitter.com/sentdex Bitcoin donations
From playlist Kivy Application Development
Kivy crash course 12: Using Android APIs
In this video I give a quick overview of three (related) ways to access android's apis from python, including the highly flexible pyjnius module for wrapping java classes and the plyer module providing a pythonic, platform-independent mechanism to access hardware and os apis. Links: - Pyt
From playlist Kivy crash course
9A_2 The Inverse of a Matrix Using the Idenity Matrix
The inverse of a matrix using the method of elementary row operation with an identity matrix added to the matrix.
From playlist Linear Algebra
This video introduces the identity matrix and illustrates the properties of the identity matrix. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Introduction to Matrices and Matrix Operations
Algebra for Beginners | Basics of Algebra
#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten
From playlist Linear Algebra
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
Units in a Ring (Abstract Algebra)
The units in a ring are those elements which have an inverse under multiplication. They form a group, and this “group of units” is very important in algebraic number theory. Using units you can also define the idea of an “associate” which lets you generalize the fundamental theorem of ar
From playlist Abstract Algebra
An identity matrix under matrix multiplication serves a similar role to the number 1, when it comes to integer multiplication, i.e. any number times 1, remains that number. You can learn more about Mathematica on my Udemy course at https://www.udemy.com/mathematica/ PS! Wait until Udemy
From playlist Introducing linear algebra
The inverse of a matrix is a similarly sized matrix such that the multiplication of the two matrices results in the identity matrix. In this video we look at an example of this. You can learn more about Mathematica on my Udemy course at https://www.udemy.com/mathematica/ PS! Wait until
From playlist Introducing linear algebra
2 Construction of a Matrix-YouTube sharing.mov
This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.
From playlist Linear Algebra
8ECM Invited Lecture: Stuart White
From playlist 8ECM Invited Lectures
FIT2.3.3. Algebraic Extensions
Field Theory: We define an algebraic extension of a field F and show that successive algebraic extensions are also algebraic. This gives a useful criterion for checking algberaic elements. We finish with algebraic closures.
From playlist Abstract Algebra
Kristin Courtney: "The abstract approach to classifying C*-algebras"
Actions of Tensor Categories on C*-algebras 2021 Mini Course: "The abstract approach to classifying C*-algebras" Kristin Courtney - Westfälische Wilhelms-Universität Münster Institute for Pure and Applied Mathematics, UCLA January 21, 2021 For more information: https://www.ipam.ucla.edu
From playlist Actions of Tensor Categories on C*-algebras 2021
Title: Differential Varieties with Only Algebraic Images
From playlist Fall 2014
Homeschool Algebra 2 - What Every Homeschool Parent Needs to Know
TabletClass Math Homeschool: https://tabletclass.com/ How to homeschool Algebra 2 successfully. Need help with homeschooling Pre-Algebra, Algebra 1, Geometry, Algebra 2 and Pre-Calculus? Check out TabletClass Math for all your homeschooling needs: https://tabletclass.com/ .
From playlist Homeschool Math
Homeschool Geometry Before Algebra 2
TabletClass Math: https://tabletclass.com/ This video explains why you should homeschool geometry before algebra 2.
From playlist Homeschool Math
This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.
From playlist Linear algebra: theory and implementation