Abstract algebra | Multilinear algebra | Linear algebra
In abstract algebra and multilinear algebra, a multilinear form on a vector space over a field is a map that is separately K-linear in each of its k arguments. More generally, one can define multilinear forms on a module over a commutative ring. The rest of this article, however, will only consider multilinear forms on finite-dimensional vector spaces. A multilinear k-form on over is called a (covariant) k-tensor, and the vector space of such forms is usually denoted or . (Wikipedia).
Multiplying rational expressions
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Trinomials) #Rational
Mulitiplying Rational Expressions
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Trinomials) #Rational
Multiplying two rational expressions
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Trinomials) #Rational
Factoring every numerator and denominator when multiplying rational expressions
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Trinomials) #Rational
Multiplying two rational expressions with polynomials
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Trinomials) #Rational
How to Multiply Two Monomials by a Trinomial and Binomial
👉 Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the rules of exponents to add the powers of each variable.
From playlist How to Multiply Polynomials
Learning to make multiplying rational expressions easy
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Binomials) #Rational
Quantitative Inverse Theorem for Gowers Uniformity Norms 𝖴5 and 𝖴6 in 𝔽n2 - Luka Milicevic
Workshop on Additive Combinatorics and Algebraic Connections Topic: Quantitative Inverse Theorem for Gowers Uniformity Norms 𝖴5 and 𝖴6 in 𝔽n2 Speaker: Luka Milicevic Affiliation: Serbian Academy of Sciences and Arts Date: October 27, 2022 In this talk, I will discuss a proof of a quant
From playlist Mathematics
Dividing two rational expressions and simplify by factoring
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Trinomials) #Rational
Multiplying rational expressions
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Trinomials) #Rational
QED Prerequisites Geometric Algebra 13 Tensors
In this lesson we make contact with the standard concept of tensors using spacetime algebra. Please consider supporting this channel on Patreon: https://www.patreon.com/XYLYXYLYX The software I usually use to produce the lectures is: https://apps.apple.com/us/app/vittle-pro-video-whit
From playlist QED- Prerequisite Topics
Simon Myerson: Repulsion: a how-to guide, Lecture II
Consider the integral zeroes of one or more, not necessarily diagonal, integral polynomials in many variables with the same degree. The basic principles for applying the circle method here were laid out by Birch. One way to improve on his work is repulsion: showing that the exponential sum
From playlist Hausdorff School "The Circle Method"
Multilinearity of the determinant In this video, I define the notion of a multilinear function and I show that the determinant is multilinear. Come and get a taste of the beauty of multilinear algebra :) Check out my Determinants Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIr
From playlist Determinants
Hülya Argüz - Gromov-Witten Theory of Complete Intersections 1/3
I will describe an inductive algorithm computing Gromov-Witten invariants in all genera with arbitrary insertions of all smooth complete intersections in projective space. This uses a monodromy analysis, as well as new degeneration and splitting formulas for nodal Gromov--Witten invariants
From playlist Workshop on Quantum Geometry
What is a tensor? Can it be defined in only three words?
In this video, I present a three words definition of a tensor and explain how all familiar properties of tensors can be recovered from this simple definition.
From playlist Summer of Math Exposition Youtube Videos
Jason P. Bell: Applications of algebra to automatic sequences and pattern avoidance - Lecture 1
Abstract: We will cover some of the more important results from commutative and noncommutative algebra as far as applications to automatic sequences, pattern avoidance, and related areas. Well give an overview of some applications of these areas to the study of automatic and regular sequen
From playlist Mathematical Aspects of Computer Science
Polynomial Progressions in Topological Fields and Their Applications to Pointwise... - Mariusz Mirek
Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory Topic: Polynomial Progressions in Topological Fields and Their Applications to Pointwise Convergence Problems Speaker: Mariusz Mirek Affiliation: Member, School of Mathematics Date: March 02, 2023 We will discuss mu
From playlist Mathematics
Jonathan Belcher: Bridge cohomology-a generalization of Hochschild and cyclic cohomologies
Talk by Jonathan Belcher in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-... on August 12, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
The Complexity of Multilinear Averages - Frederick Manners
Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory Topic: The Complexity of Multilinear Averages Speaker: Frederick Manners Affiliation: Von Neumann Fellow, School of Mathematics Date: February 28, 2023 A central question in additive combinatorics is to determine wh
From playlist Mathematics
How to use factoring when multiplying two rational expressions
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Trinomials) #Rational