In mathematics, an unordered pair or pair set is a set of the form {a, b}, i.e. a set having two elements a and b with no particular relation between them, where {a, b} = {b, a}. In contrast, an ordered pair (a, b) has a as its first element and b as its second element, which means (a, b) ≠ (b, a). While the two elements of an ordered pair (a, b) need not be distinct, modern authors only call {a, b} an unordered pair if a ≠ b.But for a few authors a singleton is also considered an unordered pair, although today, most would say that {a, a} is a multiset. It is typical to use the term unordered pair even in the situation where the elements a and b could be equal, as long as this equality has not yet been established. A set with precisely two elements is also called a 2-set or (rarely) a binary set. An unordered pair is a finite set; its cardinality (number of elements) is 2 or (if the two elements are not distinct) 1. In axiomatic set theory, the existence of unordered pairs is required by an axiom, the axiom of pairing. More generally, an unordered n-tuple is a set of the form {a1, a2,... an}. (Wikipedia).
HTML Ordered and Unordered Lists
In this HTML video, you’ll learn about ordered and unordered lists. They help to organize text on a webpage into numbered and bulleted lists. We hope you enjoy! To learn more, check out our Basic HTML tutorial here: https://edu.gcfglobal.org/en/basic-html/ #html #orderedlists #unordered
From playlist HTML
Heaps Of Fun Solution - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
What are Disjoint Sets? | Set Theory
What are disjoint sets? That is the topic of discussion in today's lesson! Two sets, A and B, are disjoint if and only if A intersect B is equal to the empty set. This means that two sets are disjoint if and only if they have no elements in common. This is the same as the two sets being "m
From playlist Set Theory
How to Find the Intersection of Two Sets with Numbers Short Video
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to Find the Intersection of Two Sets with Numbers Short Video
From playlist Functions, Sets, and Relations
Ex: Determine if Ordered Pairs Satisfy a Linear Inequality
This video explains how to determine if an order pair satisfies a linear inequality in two variables. The results are verified graphically. Complete Video Library: http://www.mathispower4u.com Search by Topic: http:www.mathispower4u.wordpress.com
From playlist Solving Linear Inequalities in Two Variables
Sets allow you to store multiple values in one place, but unlike lists, sets are unordered and there are no duplicates. In this video, we will use IDLE to enter some set expressions and see the results. We will also learn about set-builder notation to construct sets mathematically. Get
From playlist Python
What is the Symmetric Difference of 2 Sets?
What is the symmetric difference of 2 sets? In this video we go over the symmetric difference of sets, explaining it in a couple ways including what is probably the briefest way. The symmetric difference of two sets A and B is (A union B)-(A intersect B). If you need to know what the defin
From playlist Set Theory
Ex: Determine One Value of An Ordered Pair to Satisfy a Linear Equation (Fractions)
This video explains how to determine a missing value of an ordered pair to make the ordered pair a solution to a linear equation. http://mathispower4u.com
From playlist The Coordinate Plane, Plotting Points, and Solutions to Linear Equations in Two Variables
Who cares about topology? (Inscribed rectangle problem)
An unsolved conjecture, and a clever topological solution to a similar question. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/topology-thanks Home
From playlist Neat proofs/perspectives
Deep Unordered Composition Rivals Syntactic Methods for Text Classification
Full paper at https://www.cs.colorado.edu/~jbg/docs/2015_acl_dan.pdf
From playlist Research Talks
Data structures: Introduction to graphs
See complete series on data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson, we have described Graph data structure as a mathematical model. We have briefly described the concept of Graph and some of its applications. For practice
From playlist Data structures
Extremal Combinatorics with Po-Shen Loh 03/23 Mon
Carnegie Mellon University is protecting the community from the COVID-19 pandemic by running courses online for the Spring 2020 semester. This is the video stream for Po-Shen Loh’s PhD-level course 21-738 Extremal Combinatorics. Professor Loh will not be able to respond to questions or com
From playlist CMU PhD-Level Course 21-738 Extremal Combinatorics
This is the first in a series of videos about the merge sort. It describes the principle of the merge sort algorithm, which takes a ‘divide and conquer’ approach to the problem of sorting and unordered list. The videos that follow build on these principles, leading towards a recursive im
From playlist Sorting Algorithms
Choiceless Polynomial Time - Ben Rossman
Computer Science/Discrete Mathematics Seminar I Topic: Choiceless Polynomial Time Speaker: Ben Rossman Affiliation: University of Toronto Date: October 14, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Solved On TV In Only 10 Seconds! Trick To Count Rectangles Quickly
Can you count the number of rectangles in the grid? How about in the L-shaped grid? These problems appeared on the TV show Superhuman hosted by Kal Penn (Kalpen Modi). The contestant Summer gave the correct answer to each challenge in about 10 seconds. It would seem you have to be a savant
From playlist Mental Math Tricks
5. HTML, CSS and JavaScript: Ordered and Unordered Lists
This is the fifth in a series of computer science videos about creating a web page by combining HTML, CSS and JavaScript. It covers the use of the ul and ol tags, along with the li tags, to create unordered or ordered lists, that is bulleted or numbered lists.
From playlist HTML, CSS and JavaScript
Back To Basics: C++ Containers
Containers provided by the standard library in C++ have almost become as essential as the language keywords themselves. Storing data in the correct way will make you a fluid and stronger programmer, as you can let the containers do the hard work for you. In this video I take a really brief
From playlist Interesting Programming
Totally nonparallel immersions - Michael Harrison
Seminar in Analysis and Geometry Topic: Totally nonparallel immersions Speaker: Michael Harrison Affiliation: Member, School of Mathematics Date: February 08, 2022 An immersion from a smooth n-dimensional manifold M into Rq is called totally nonparallel if, for every pair of distinct poi
From playlist Mathematics