Transitive relations | Elementary algebra | Binary relations
In mathematics, a relation R on a set X is transitive if, for all elements a, b, c in X, whenever R relates a to b and b to c, then R also relates a to c. Each partial order as well as each equivalence relation needs to be transitive. (Wikipedia).
11 Reflexive, symmetric, and transitive properties of relations
Relations have properties named the reflexive, symmetric, and transitive properties.
From playlist Abstract algebra
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)
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 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
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
Transitive Property of Congruence & Substitution Property of Equality
This geometry video tutorial provides a basic introduction into the transitive property of congruence and the substitution property of equality. In addition, this video tutorial discusses vertical angles and opposite rays in addition to providing algebra practice problems & examples assoc
From playlist Geometry Video Playlist
10 Relations (still with the not-so-exciting-stuff)
This video introduces relations between pairs of elements.
From playlist Abstract algebra
Transitive Tournaments (Directed Graphs) | Graph Theory
We introduce transitive tournaments and look at some neat properties they possess! Recall a tournament graph is a directed graph with exactly one arc between each pair of vertices. In other words, it is an orientation of a complete graph. #GraphTheory We say a tournament T is transitive i
From playlist Graph Theory
What are the Angle Relationships for Parallel Lines and a Transversal
👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
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
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From playlist Proof Writing
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
⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn 🟢 Discord: https://discord.gg/Ta6PTGtKBm ⭐my other channels⭐ Main Channel: https://www.youtube.
From playlist Proof Writing
Is Subset an Equivalence Relation? | Set Theory
Is the subset relation on all sets and equivalence relation? If so, it must be reflexive, symmetric, and transitive! We'll prove in today's set theory lesson that subset is a reflexive relation and a transitive relation, but it is not symmetric. If A is a subset of B, we cannot conclude th
From playlist Set Theory
Phase Transitions: Diversity in dynamics by Subir Das
Program Entropy, Information and Order in Soft Matter  ORGANIZERS Bulbul Chakraborty, Pinaki Chaudhuri, Chandan Dasgupta, Marjolein Dijkstra, Smarajit Karmakar, Vijaykumar Krishnamurthy, Jorge Kurchan, Madan Rao, Srikanth Sastry and Francesco Sciortino DATE & TIME 27 August 2018 to
From playlist Entropy, Information and Order in Soft Matter
Emmanuel Filiot : Transductions - Partie 1
Résumé : Après une introduction générale présentant les principaux modèles et problèmes étudiés, nous étudierons plus précisément trois sujets qui permettront d’illustrer des propriétés algorithmiques, des aspects algébriques et logiques de cette théorie : - caractérisation, décision et mi
From playlist Logic and Foundations
A World of Pure Experience (By William James)
William James' wonderful 1904 essay "A World of Pure Experience" read by Carl Manchester and from LibriVox. The paper comes from William James' "Essays in Radical Empiricism", which was published posthumously in 1912. Note, this is a version of an upload from the previous channel. The audi
From playlist Philosophy of Mind
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