In type theory, the empty type or absurd type, typically denoted is a type with no terms. Such a type may be defined as the nullary coproduct (i.e. disjoint sum of no types). It may also be defined as the polymorphic type For any type , the type is defined as . As the notation suggests, by the Curry–Howard correspondence, a term of type is a false proposition, and a term of type is a disproof of proposition P. A type theory need not contain an empty type. Where it exists, an empty type is not generally unique. For instance, is also uninhabited for any inhabited type . If a type system contains an empty type, the bottom type must be uninhabited too, so no distinction is drawn between them and both are denoted . (Wikipedia).
Empty Graph, Trivial Graph, and the Null Graph | Graph Theory
Whenever we talk about something that is defined by sets, it is important to consider the empty set and how it fits into the definition. In graph theory, empty sets in the definition of a particular graph can bring on three types/categories of graphs. The empty graphs, the trivial graph, a
From playlist Graph Theory
Empty Set vs Set Containing Empty Set | Set Theory
What's the difference between the empty set and the set containing the empty set? We'll look at {} vs {{}} in today's set theory video lesson, discuss their cardinalities, and look at their power sets. As we'll see, the power set of the empty set is our friend { {} }! The river runs peacef
From playlist Set Theory
Why is the Empty Set a Subset of Every Set? | Set Theory, Subsets, Subset Definition
The empty set is a very cool and important part of set theory in mathematics. The empty set contains no elements and is denoted { } or with the empty set symbol ∅. As a result of the empty set having no elements is that it is a subset of every set. But why is that? We go over that in this
From playlist Set Theory
Power Set of the Power Set of the Power Set of the Empty Set | Set Theory
The power set of the power set of the power set of the empty set, we'll go over how to find just that in today's set theory video lesson! We'll also go over the power set of the empty set, the power set of the power set of the empty set, and we'll se the power set of the power set of the p
From playlist Set Theory
Reconsidering `functions' in modern mathematics | Arithmetic and Geometry Math Foundations 43
The general notion of `function' does not work in mathematics, just as the general notions of `number' or `sequence' don't work. This video explains the distinction between `closed' and `open' systems, and suggests that mathematical definitions should respect the open aspect of mathemat
From playlist Math Foundations
The Empty Set or the Null Set , Intermediate Algebra , Lesson 27
This tutorial explains the simple concept of the empty set, otherwise known as the null set. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)
From playlist Intermediate Algebra
seekae - void, from the sound of trees falling on people. http://www.myspace.com/seekaemusic
From playlist Music.
Go Interface Tutorial | Go Interfaces Explained | Golang Tutorial For Beginners | Simplilearn
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From playlist Go Programming Language Tutorial | Golang Tutorial
In this episode of Crust of Rust, we go over the "drop check" — another niche part of Rust that most people don't have to think about, but which rears its moderately attractive head occasionally when you use generic types in semi-weird ways. In particular, we explore how to implement a Nor
From playlist Crust of Rust
C9 Lectures: Dr. Erik Meijer - Functional Programming Fundamentals Chapter 8 of 13
We've kicked off C9 Lectures with a journey into the world of Functional Programming with functional language purist and high priest of the lambda calculus, Dr. Erik Meijer (you can thank Erik for many of the functional constructs that have shown up in languages like C# and VB.NET. When y
From playlist Haskell - Functional Programming Fundamentals (Dr. Erik Meijer )
From playlist filter (less comfortable)
WordPress Plugin Development - Part 29 - Bug Fixes
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From playlist WordPress Plugins Development Tutorials
Petra Schwer: Studying affine Deligne Lusztig varieties via folded galleries in buildings
Abstract: We present a new approach to affine Deligne Lusztig varieties which allows us to study the so called "non-basic" case in a type free manner. The central idea is to translate the question of non-emptiness and the computation of the dimensions of these varieties into geometric ques
From playlist Algebra
Lecture 17: Data Structures and Algorithms - Richard Buckland
lecture 17 of comp1927 - data structures and algorithms
From playlist CS2: Data Structures and Algorithms - Richard Buckland
Part 53 - WordPress Theme Development - Popular Posts Custom Widget - PART 2
:: Support Me :: http://www.alecaddd.com/support-me/ How to build a Premium Theme for WordPress - Lesson 53 Create a Popular Posts Custom Widget - PART 2 GitHub Repo: https://github.com/Alecaddd/Sunset-theme Download Sunset Theme FREE: http://bit.ly/1UM80mR :: Tutorial Series :: WordPr
From playlist Create a Premium WordPress Theme
LambdaConf 2015 - Scalaz 102 Level Up Your Scalaz Foo! Colt Frederickson
Scalaz is a massive library full of many critical FP abstractions, but it can be a bit dense. If you've dipped into Scalaz for a couple things such as Either and Validation, but you're not sure what else you can use, this talk is for you! Help us caption & translate this video! http://am
From playlist LambdaConf 2015
Moving Towards Dialogue: Collaborating with your computer using typed holes! by Vaibhav Sagar
Moving Towards Dialogue: Collaborating with your computer using typed holes! by Vaibhav Sagar For many people, their first (and only) experience of static types is being continually told off by their compiler. With a little gentle encouragement, it is possible to mend this dysfunctional r
From playlist !!Con 2018
The Largest and Smallest Values for the Rank and Nullity of a Matrix (3 x 5)
This video explains how to determine the largest and smallest possible values for the rank and nullity of a 3 by 5 matrix.
From playlist Column and Null Space