In type theory, the identity type represents the concept of equality. It is also known as propositional equality to differentiate it from "judgemental equality". Equality in type theory is a complex topic and has been the subject of research, such as the field of homotopy type theory. (Wikipedia).
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
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
Beginning Graphic Design: Branding & Identity
In this video, you’ll learn the basics of using branding and identity in graphic design. Visit https://www.gcflearnfree.org/beginning-graphic-design/branding-and-identity/1/ for our text-based lesson. This video includes information on: • Visual identity • Logos • Color • Typography • Ima
From playlist Graphic Design
Personality Type Value Seekers
Here I go into detail on those personality types labeled as Value Seekers. The Personality Codes described here are ENFJ, ENFP, INFJ, INFP For the full Personality Reports go here http://bit.ly/bhZ7WP They're Free!
From playlist Personality Test
Personality Type Knowledge Seekers
Here I go into detail on those personality types labeled as Knowledge Seekers. The Personality Codes described here are ENTJ, ENTP, INTJ, INTP For the full Personality Reports go here http://bit.ly/bhZ7WP They're Free!
From playlist Personality Test
19 Defining the types of binary operations
The two types of binary operations discussed in this video are commutative and associative. We saw them in the previous video and here we define them specifically so that we can build on our repertoire to use in proofs. Remember, it is by filling up our toolbox with these definitions that
From playlist Abstract algebra
What are the Types of Numbers? Real vs. Imaginary, Rational vs. Irrational
We've mentioned in passing some different ways to classify numbers, like rational, irrational, real, imaginary, integers, fractions, and more. If this is confusing, then take a look at this handy-dandy guide to the taxonomy of numbers! It turns out we can use a hierarchical scheme just lik
From playlist Algebra 1 & 2
Identity Matrix | Unit Matrix | Don't Memorise
This video explains the concept of an Identity Matrix. Is it also called a Unit Matrix? ✅To learn more about, Matrices, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=iks8wCfPerU&utm_term=%7Bkeyword%
From playlist 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
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
Constructive Type Theory and Homotopy - Steve Awodey
Steve Awodey Institute for Advanced Study December 3, 2010 In recent research it has become clear that there are fascinating connections between constructive mathematics, especially as formulated in the type theory of Martin-Löf, and homotopy theory, especially in the modern treatment in
From playlist Mathematics
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
Pooneh Afsharijoo, Institut de Mathématiques de Jussieu - Paris Rive Gauche
November 18, Pooneh Afsharijoo, Institut de Mathématiques de Jussieu - Paris Rive Gauche Two new members of Rogers-Ramanujan identities
From playlist Fall 2021 Online Kolchin Seminar in Differential Algebra
The synthetic theory of ∞-categories vs the synthetic theory of ∞-categories - Emily Riehl
Vladimir Voevodsky Memorial Conference Topic: The synthetic theory of ∞-categories vs the synthetic theory of ∞-categories Speaker: Emily Riehl Affiliation: Johns Hopkins University Date: September 12, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
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 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
Category Theory Lulz - Ken Scambler
Why do functional programmers talk about Category Theory so much? What could this horrifyingly abstract branch of maths have to offer the rest of us? Ken will answer these questions and more, explaining the basic terminology and concepts of Category Theory, and how it exposes deep unde
From playlist Software Development Lectures
Definition of a Group and Examples of Groups
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Group and Examples of Groups
From playlist Abstract Algebra