Identity (mathematics)

20 The identity element

Sets might contain an element that can be identified as an identity element under some binary operation. Performing the operation between the identity element and any arbitrary element in the set must result in the arbitrary element. An example is the identity element for the binary opera

From playlist Abstract algebra

The Identity Matrix

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

Abstract Algebra | What is a ring?

We give the definition of a ring and present some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

Trigonometric Identities (1 of 3: Reciprocals, Ratios & Complements)

More resources available at www.misterwootube.com

From playlist Trigonometric Functions and Identities

Gradient identities example

Example on gradient identities for functions of two variables.

From playlist Engineering Mathematics

Identity matrices

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

21 The inverse element

A set might contain many inverse elements under some binary operation. To have such an element, this set must also contain an identity element under the binary operation in question. An element is an inverse element of another element in a set if performing the binary operation between t

From playlist Abstract algebra

Linear Algebra 2.2.1 The Inverse of a Matrix

From playlist Linear Algebra (Entire Course)

Benedikt Ahrens - Univalent Foundations and the UniMath library - IPAM at UCLA

Recorded 13 February 2023. Benedikt Ahrens of Delft University of Technology presents "Univalent Foundations and the UniMath library" at IPAM's Machine Assisted Proofs Workshop. Abstract: Univalent Foundations (UF) were designed by Voevodsky as a foundation of mathematics that is "invarian

From playlist 2023 Machine Assisted Proofs Workshop

Isomorphic Structures of any Kind are `Equal' in HoTT: But What... Structure? - Peter Aczel

Peter Aczel The Unviersity of Manchester; Member,School of Mathematics February 7, 2013 For more videos, visit http://video.ias.edu

From playlist Mathematics

Univalent Foundations Seminar - Steve Awodey

Steve Awodey Carnegie Mellon University; Member, School of Mathematics November 19, 2012 For more videos, visit http://video.ias.edu

From playlist Mathematics

Benedikt Ahrens - Le principe d'univalence: le transfer du raisonnement à traver les equivalence

Le raisonnement à équivalence près est omniprésent en mathématique, et les mathématiciens le font implicitement. Pour les mathématiques sur ordinateurs, ce n'est pas si simple : il faut donner tous les détails éxplicitement. C'est pour cela que Voevodsky a créé les fondements univalents, a

From playlist Workshop Schlumberger 2022 : types dépendants et formalisation des mathématiques

Inverse of Matrix 2 x 2 Case

What is an inverse matrix and how do I calculate it? Free ebook http://tinyurl.com/EngMathYT

From playlist Intro to Matrices

Egbert Rijke: Daily applications of the univalence axiom - lecture 1

HYBRID EVENT Recorded during the meeting "Logic and Interactions" the February 21, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual M

From playlist Combinatorics

A Sensible Introduction to Category Theory

Remember when I used a video with a coconut in the thumbnail to drive a stake through the heart of mathematical structure? Today, in this introduction to the basics of category theory, I attempt to remove it. 27 Unhelpful Facts About Category Theory: https://www.youtube.com/watch?v=H0Ek86

From playlist Mathematics

Univalent foundations and the equivalence principle - Benedikt Ahrens

Vladimir Voevodsky Memorial Conference Topic: Univalent foundations and the equivalence principle Speaker: Benedikt Ahrens Affiliation: University of Birmingham Date: September 12, 2018 For more video please visit http://video.ias.edu

From playlist Vladimir Voevodsky Memorial Conference

Shadows of Computation - Lecture 2 - When are two mathematical objects the same?

Welcome to Shadows of Computation, an online course taught by Will Troiani and Billy Snikkers, covering the foundations of category theory and how it is used by computer scientists to abstract computing systems to reveal their intrinsic mathematical properties. In the second lecture Billy

From playlist Shadows of Computation

Transposes and Inverses II | Linear Algebra MATH1141 | N J Wildberger

We introduce the notion of the inverse of an n by n matrix. Concrete formulas for the 1 by 1 and the 2 by 2 cases are given, and we derive various useful properties. ************************ Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a co

From playlist Higher Linear Algebra

Tests, Games, and Martin-Lof's Meaning Explanations for Intuitionistic Type Theory - Peter Dybjer

Peter Dybjer November 30, 2012 For more videos, visit http://video.ias.edu

From playlist Mathematics

Cubic Identities (1 of 3: What is an identity?)

More resources available at www.misterwootube.com

From playlist Further Equations