Type theory

Identity type

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).

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

Related pages

Type theory | Equality (mathematics) | Judgment (mathematical logic) | Homotopy type theory