mavii

This video focuses on showing that two compound propositions are equivalent using a truth table. Video Chapters: Introduction 0:00 Some Terminology 0:11 Show Two Compound Propositions are Logically Equivalent 3:40 Practice With Me 8:08 Practice On Your Own 11:09 Up Next 16:04 Textbook: Rosen, Discrete Mathematics and Its Applications, 7e ...

In this video, I go over how to prove that a relation is an equivalence relation. I hope this example helps! Timestamps: 0:00 Intro 1:06 Proving the Relation is Reflexive 4:12 Proving the Relation is Symmetric 9:12 Proving the Relation is Transitive Instagram: https://www.instagram.com/braingainzofficial

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.

8. Prove logical equivalence by truth table #DiscreteMathematics #TruthTable #Equivalence Radhe Radhe In this vedio, the logical equivalences are proved by truth table. Some examples are explained to describe the topic. To understand the concept, you must know how to construct the truth table. To learn the construction of truth table, you can ...

Exploring a special kind of relation, called an equivalence relation. Equivalence classes and partitions are also discussed. Video Chapters: Introduction 0:00 Equivalence Relations 0:04 Is This an Equivalence Relation? Yes 4:14 Is This an Equivalence Relation? No 7:16 Equivalence Classes 10:51 Partitions 12:55 Partition of Integers mod 4 17:00 ...

This video explores how to use existing logical equivalences to prove new ones, without the use of truth tables.

In this video, De Morgan's Law is explained with examples. Chapters: 0:00 De Morgan's Law (with Proof) 7:44 Example 1 9:17 Example 2 11:02 Example 3 De Morgan's Law: 1) (A+B)' = A' . B' 2) (A.B)' = A' + B' These laws can be extended for more than 2 inputs also. These laws are useful in simplifying the Boolean expression which contains a ...

Proving a compound proposition is a tautology

In this video, we practice another example of proving a relation is in fact an equivalence relation. Enjoy! Instagram: https://www.instagram.com/braingainzofficial

Discrete Mathematics: Propositional Logic − Logical Equivalences Topics discussed: 1) Logical Equivalence definition and example. 2) Most common and famous logical equivalences. 3) Logical equivalences involving conditional statements. 4) Logical equivalences involving biconditional statements. Follow Neso Academy on Instagram: @nesoacademy ...

DeMorgan's Laws are two important logical equivalences. In introducing these laws, I talk about three different ways by which you can demonstrate a logical equivalences: There are truth tables, citing known laws, and testing for reasonableness. Full Course Playlist: DISCRETE MATH: https://www.youtube.com/playlist?list ...

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, and b relates to c, then a relates to c. When all three ...

This short video details how to prove the equivalence of two propositional expressions using Truth Tables. In particular, this example proves the equivalence of the forms of the Distributive Law.

👉Subscribe to our new channel:https://www.youtube.com/@varunainashots A relation R on a set A is said to be an equivalence relation if and only if the relation R is reflexive, symmetric and transitive. Reflexive: A relation is said to be reflexive, if (a, a) ∈ R, for every a ∈ A. Symmetric: A relation is said to be symmetric, if (a, b ...

Discrete Mathematics: Equivalence Relation Topics discussed: 1) The definition of discrete mathematics. 2) Example problems to find out if the given relation is an equivalence relation. Follow Neso Academy on Instagram: @nesoacademy(https://bit.ly/2XP63OE) Follow me on Instagram: @jaspreetedu(https://bit.ly/2YX26E5) Contribute: https://www ...

Step by step description of exercise 16 from our text. Using key logical equivlances we will show p iff q is logically equivalent to (p AND q) OR (NOT p AND NOT q)

We use known logical equivalences to prove new logical equivalences providing reasoning for each step. Video Chapters: Introduction 0:00 Show Equivalence is True using Truth Table 0:12 Constructing a New Logical Equivalence 2:58 Practice With Me 6:50 Practice On Your Own 12:17 Up Next 14:18 Textbook: Rosen, Discrete Mathematics and Its ...

We prove the congruence modulo n is an equivalence relation on the set of integers and describe the equivalence classes.

This geometry video tutorial provides a basic introduction into triangle congruence theorems. It explains how to prove if two triangles are congruent using the SSS, SAS, ASA, and AAS postulate using two column proofs. Here is a list of topics contained in the statements and reasons of the two column proofs: Definition of midpoints, reflexive ...

Discrete Mathematics: Equivalence Relation (Solved Problems) Topics discussed: 1) Solved problems on the equivalence of relations. Follow Neso Academy on Instagram: @nesoacademy(https://bit.ly/2XP63OE) Follow me on Instagram: @jaspreetedu(https://bit.ly/2YX26E5) Contribute: https://www.nesoacademy.org/donate Memberships: https://bit.ly/2U7YSPI ...

Proving set identities by proving two sets are subsets of one another, using propositional logic or a membership table. Video Chapters: Introduction 0:00 Three Methods of Proof 0:22 De Morgans Second Law by Showing Each Set is a Subset of The Other 1:19 De Morgans Second Law Using Propositional Logic 9:38 De Morgans Second Law Using Membership ...

If you've followed the propositional logic we've used over the past few episodes, you should be able to follow this lesson where we use logic to define three methods of proof: modus ponens, proof by contradiction, and proof by contrapositive. While these methods of proof may be confusing, the logic works out that they are sufficient to show ...

This electronics video provides a basic introduction into logic gates, truth tables, and simplifying boolean algebra expressions. It discusses logic gates such as the AND, OR, NOT, NAND and NOR Gates. This video is for college students who are taking introduction to logic design. Full 2 Hour Video on YouTube: https://www.youtube.com/watch?v ...

In this tutorial I show how to do a proof by mathematical induction. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)

This trigonometry video tutorial focuses on verifying trigonometric identities with hard examples including fractions. It contains plenty of examples and practice problems. This video tutorial contains plenty of tips and tricks that will help you on your homework or upcoming worksheet assignment. It explains when to convert secant and tangent ...

This geometry video tutorial provides a basic introduction into triangle similarity. it explains how to use two column proofs in order to prove if two triangles are similar using the mostly the AA postulates. Other triangle similarity postulates mentioned are the AAA, SSS, and SAS postulates. Theorems used in this video include the base angle ...

Discrete Mathematics: Congruence Modulo m Topics discussed: 1) The definition of Congruence Modulo m. 2) Equivalence Classes of R. 3) Finding the equivalence class of 2 with respect to congruence modulo 5. 4) Finding the equivalence class of 4 with respect to congruence modulo 5. Follow Neso Academy on Instagram: @nesoacademy(https://bit.ly ...

Today we discuss how we can use truth tables to show logical equivalence between two formulas. Visit my website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discrete Mathematics 2: https://www.youtube.com ...

In this video, I explain the basic idea of the proof by contradiction method. Then I show 5 examples of using proof by contradiction to prove some propositions. Thanks for watching! Comment below with questions, and make sure to keep flexin' those brain muscles! Facebook: https://www.facebook.com/braingainzofficial Instagram: https://www ...

How to Prove Two Sets are Equal using the Method of Double Inclusion A n (A u B) = A

In this Video, we have shown the equivalence of Kelvin-Planck and Clausius Statements. These two statements look very different but are equivalent to each other i.e., if you violate one, you will be ending up violating the other. If you find the video informative! HIT the LIKE Button, Comment below and don't forget to SUBSCRIBE. Also, Hit the ...

This video covers the definition of Equivalence Classes (which find a mention in Class 12 Mathematics NCERT Chapter 1) and their properties, illustrated with the help of four examples - three of them are descriptive type (out of which one has been taken from NCERT Exemplar) and one is multiple choice type.

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.

Various problems on propositional equivalences are solved in this class, by using truth tables and without using truth tables.

In this video, we provide a definition of an equivalence class associated with an equivalence relation. In particular, we provide an example of an equivalence relation and that the collection of equivalence classes forms a partition of the set the relation was constructed from.

DISCRETE STRUCTURES AND THEORY OF LOGIC UNIT-1 SET THEORY, RELATIONS, FUNCTIONS AND NATURAL NUMBERS DISCRETE MATHEMATICS LECTURE CONTENT: RELATION / BINARY RELATION EQUIVALENCE RELATION EQUALITY OF RELATIONS REFLEXIVE RELATION SYMMETRIC RELATION TRANSITIVE RELATION EQUIVALENCE RELATION IMPORTANT THEOREM PROVE THAT INTERSECTION OF TWO ...

Proving and Simplifying Propositions using Logical Equivalence Laws

Thanks for watching............

In this video I prove a very important result in mathematics. Given an equivalence relation R on a nonempty set A, the set S of equivalence classes of A is a partition of A. Stated another way, this result says we can write A as a disjoint union of equivalence classes. The pencils I used in this video: https://amzn.to/3bCpvpt The paper I used ...

Let A and B be sets. Then A=B if and only if P(A)=P(B). That is, two sets are equal if and only if their power sets are equal. We prove this basic set theory result in today's lesson. First, we want to prove that if A equals B then P(A) equals P(B). First, take an element S from P(A). Thus, S is a subset of A. But A=B, so S is a subset of B ...

Hey guys! It's me Pat Here's another requested video about Logical Equivalences in Discrete Mathematics. Proving is hard, but I'll help you solve it. So watch the video until the end! Tips and tricks are provided. Verse of the Day: Deuteronomy 31:8 "Do not be afraid or discouraged, for the LORD will personally go ahead of you. He will be with ...

Let A, B, and C be nxn matrices. (i) A~A (ii) If A~B, then B~A (iii) If A~B and B~C, then A~C

I prove the general Leibniz rule for derivatives by induction and plug in exponential functions to show its equivalent to the Binomial Theorem. I also assume the Binomial Theorem is true and define differential operators acting on only one function to show the Leibniz rule is true.

In this video, I prove the Absorption Laws of Logical Equivalence. *Edited :)

In this video, you will learn about logical equivalence. The first one in the list of logical equivalence is Identity law. You will understand the indentity law equivalence with concepts and examples and truth table. Website: https://notesformsc.org/ List of Logical Equivalence: https://notesformsc.org/list-of-logical-equivalences-and-truth ...

Prove that the distinct equivalence classes of an equivalence relation forms a partition of the set Relations in discrete mathematics playlist https://www.youtube.com/playlist?list=PL15h-I4HvELIXZVZ8X7GBWgYWoPM_7YBY Thanks for Watching Like, Share & Subscribe Ganitya

Dive deep into the world of equivalence classes in discrete mathematics! In this tutorial, we'll explore a textbook problem that's perfect for mastering the concepts of equivalence relations. We'll define a relation R on the set of positive integers from 1 to 14 and show step-by-step how to prove R is an equivalence relation. Discover how to ...