Reflexive relations | Binary relations
In mathematics, a binary relation R on a set X is reflexive if it relates every element of X to itself. An example of a reflexive relation is the relation "is equal to" on the set of real numbers, since every real number is equal to itself. A reflexive relation is said to have the reflexive property or is said to possess reflexivity. Along with symmetry and transitivity, reflexivity is one of three properties defining equivalence relations. (Wikipedia).
Proving a Relation is an Equivalence Relation | Example 2
In this video, we practice another example of proving a relation is in fact an equivalence relation. Enjoy! Instagram: https://www.instagram.com/braingainzofficial
From playlist Proofs
Reflexive Relations and Examples
Let A be a set. A relation R on A is a subset of A x A. Let R be a relation on A. We say R is reflexive of aRa for all a in A. In this video we go over this definition more carefully and we do several examples where we determine if the relation is reflexive. I hope this helps someone who i
From playlist Relations
Equivalence Relations - Reflexive, Symmetric, and Transitive
A relation that is all three of reflexive, symmetric, and transitive, is called an equivalence relation. Reflexive means that every element relates to itself. Symmetry means that if one element relates to another, the same is true in the reverse. Transitive means that if a relates to b, an
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
11 Reflexive, symmetric, and transitive properties of relations
Relations have properties named the reflexive, symmetric, and transitive properties.
From playlist Abstract algebra
Reflexive, Symmetric, and Transitive Relations on a Set
A relation from a set A to itself can be though of as a directed graph. We look at three types of such relations: reflexive, symmetric, and transitive. A relation is reflexive if every element relates to itself, that is has a little look from itself to itself. A relation is symmetric if
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Equivalence Relations: Sample Problems
In this video, I work through an example of proving that a relation is an equivalence relation. We do this by showing that the relation is reflexive, symmetric, and transitive.
From playlist Discrete Mathematics
Discrete Math - 9.1.2 Properties of Relations
Exploring the properties of relations including reflexive, symmetric, anti-symmetric and transitive properties. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list...
From playlist Discrete Math I (Entire Course)
How to Prove a Relation is an Equivalence Relation
How to Prove a Relation is an Equivalence Relation Proving a Relation is Reflexive, Symmetric, and Transitive;i.e., an equivalence relation. I had never done this problem before so there are moments where you can see me pause briefly because I had to figure it out.
From playlist Functions, Sets, and Relations
Equivalence Relations Definition and Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equivalence Relations Definition and Examples. This video starts by defining a relation, reflexive relation, symmetric relation, transitive relation, and then an equivalence relation. Several examples are given.
From playlist Abstract Algebra
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From playlist Proof Writing
basic examples of relations -- proof writing examples 16
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From playlist Proof Writing
This video is a full introduction to equivalence relations. Timestamps: 0:00 What is a relation? 3:02 Terminology - A Relation defined on a Set 4:02 Equivalence Relation Definition 7:18 Reflexive 9:18 Symmetric 11:48 Transitive Thanks for watching! Comment below with questions, and make
From playlist Proofs
Intro to proofs April 20, 2021
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From playlist Super Lo-fi in class videos
Praxis 2 (0061) Discrete Math 2
https://sites.google.com/site/praxishelp/ More discrete math review problems for the praxis test
From playlist Praxis Test Help
Mathematica Sessions - Discrete Math - Episode 8 - Relations, Equivalence Relations, Partial Orders
This is Episode 8 of a multi-episode series of videos on Discrete Mathematics. The Mathematica Sessions are approximately 1 hour teaching sessions, usually with someone I am tutoring, where I teach mathematics from within the Wolfram Mathematica software. In this Mathematica Session yo
From playlist Discrete Math
equivalence relations -- proof writing examples 17
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From playlist Proof Writing
Note: as noted below, 'equals' is an anti-symmetric relation. But, in practice, intuition for partially ordered sets starts with "less than or equals." Basic Methods: We define the Cartesian product of two sets X and Y and use this to define binary relations on X. We explain the propert
From playlist Math Major Basics
Prove that R is an Equivalence Relation on Z: xRy if x + 3y is even
In this video we define a relation R on the set of integers Z as follows: We say x R y if x + 3y is even. We prove that R is an equivalence relation on Z. To do this we show that R is reflexive, symmetric, and transitive. The pencils I used in this video: https://amzn.to/3bCpvpt The pape
From playlist Relations