Functions and mappings | Multilinear algebra | Mathematical relations

Alternating multilinear map

In mathematics, more specifically in multilinear algebra, an alternating multilinear map is a multilinear map with all arguments belonging to the same vector space (for example, a bilinear form or a multilinear form) that is zero whenever any pair of arguments is equal. More generally, the vector space may be a module over a commutative ring. The notion of alternatization (or alternatisation) is used to derive an alternating multilinear map from any multilinear map with all arguments belonging to the same space. (Wikipedia).

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Labeling Alternate Interior Angles

๐Ÿ‘‰ Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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Determining Two Angles are Consecutive Interior Angles from a Figure

๐Ÿ‘‰ Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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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)

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Lek-Heng Lim: "What is a tensor? (Part 2/2)"

Watch part 1/2 here: https://youtu.be/MkYEh0UJKcE Tensor Methods and Emerging Applications to the Physical and Data Sciences Tutorials 2021 "What is a tensor? (Part 2/2)" Lek-Heng Lim - University of Chicago, Statistics Abstract: We discuss the three best-known definitions of a tensor:

From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021

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Open Quantum Kirwan Map - Guangbo Xu

Princeton/IAS Symplectic Geometry Seminar Topic: Open Quantum Kirwan Map Speaker: Guangbo Xu Affiliation: Visiting Professor, School of Mathematics Date: March 26, 2018 For more videos, please visitย http://video.ias.edu

From playlist Mathematics

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Geometry - Identifying Consecutive Interior Angles from a Figure

๐Ÿ‘‰ Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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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"

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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

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Duality Argument

In this video, I present a very classical example of a duality argument: Namely, I show that T^T is one-to-one if and only if T is onto and use that to show that T is one-to-one if and only if T^T is onto. This illustrates the beautiful interplay between a vector space and its dual space,

From playlist Dual Spaces

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Geometry - Learning to Identify Multiple Examples of Consecutive Interior Angles

๐Ÿ‘‰ Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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Geometry - Identifying Alternate Interior and Exterior Angles

๐Ÿ‘‰ Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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How to Determine Alternate Interior Angles

๐Ÿ‘‰ Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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Learning to Identify Multiple Examples of Alternate Interior Angles

๐Ÿ‘‰ Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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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

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Learning to Identify Multiple examples of Alternate Exterior Angles

๐Ÿ‘‰ Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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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

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Quantitative Inverse Theorem for Gowers Uniformity Norms ๐–ด5 and ๐–ด6 in ๐”ฝn2 - Luka Milicevic

Workshop on Additive Combinatorics and Algebraic Connections Topic: Quantitative Inverse Theorem for Gowers Uniformity Norms ๐–ด5 and ๐–ด6 in ๐”ฝn2 Speaker: Luka Milicevic Affiliation: Serbian Academy of Sciences and Arts Date: October 27, 2022ย  In this talk, I will discuss a proof of a quant

From playlist Mathematics

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Hรผlya Argรผz - 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

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Classifying Angles Given Parallel Lines and a Transversal

๐Ÿ‘‰ Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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