Directed graphs | Graph families | Boolean algebra | Application-specific graphs

Implication graph

In mathematical logic and graph theory, an implication graph is a skew-symmetric, directed graph G = (V, E) composed of vertex set V and directed edge set E. Each vertex in V represents the truth status of a Boolean literal, and each directed edge from vertex u to vertex v represents the material implication "If the literal u is true then the literal v is also true". Implication graphs were originally used for analyzing complex Boolean expressions. (Wikipedia).

Implication graph
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Implications and Truth Conditions for Implications

This video defines an implication and when an implication is true or false.

From playlist Mathematical Statements (Discrete Math)

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Learning to write the inverse of a conditional statement

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From playlist Inverse of a Statement

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How to determine the inverse of a conditional statement

👉 Learn how to find the inverse of a statement. The inverse of a statement is the negation of the hypothesis and the conclusion of a conditional statement. If the hypothesis of a statement is represented by p and the conclusion is represented by q, then the conditional statement is represe

From playlist Inverse of a Statement

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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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Writing the inverse from a conditional statement

👉 Learn how to find the inverse of a statement. The inverse of a statement is the negation of the hypothesis and the conclusion of a conditional statement. If the hypothesis of a statement is represented by p and the conclusion is represented by q, then the conditional statement is represe

From playlist Inverse of a Statement

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How to determine the inverse from a conditional statement

👉 Learn how to find the inverse of a statement. The inverse of a statement is the negation of the hypothesis and the conclusion of a conditional statement. If the hypothesis of a statement is represented by p and the conclusion is represented by q, then the conditional statement is represe

From playlist Inverse of a Statement

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Implication and Biconditional Statements

The definition of implication and biconditional connectives along with some laws for working with them, plus the definition of tautology and contradiction. (In the part I got hung up on in the video, "p is necessary for q" can be read "p if q" (or "if q, then p"), and "p is sufficient fo

From playlist Linear Algebra

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Introduction to The Converse and Contrapositive of an Implication

This video the converse and contrapositive of an implication.

From playlist Mathematical Statements (Discrete Math)

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Ch. 8 - Logic - implication, inverse, converse, contrapositive, equivalence (conditional statements)

Hello and welcome to What Da Math This video is an explanation of the following terms from logic, chapter 8: implication converse inverse contrapositive equivalence In this and other chapter 8 videos we will focus on truth tables, deductive reasoning and logic, conjunction, disjunction

From playlist IB Math Studies Chapter 8

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From playlist Statistical Rethinking 2022

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A Tight Bound for Hypergraph Regularity - Guy Moshkovitz

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From playlist Mathematics

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This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.

From playlist Proofs

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From playlist Logic and Foundations

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Marzieh Eidi (7/29/22): Seeing Data Through the Lens of Geometry (Ollivier-Ricci Curvature)

Abstract: Nowadays, we are encountering with huge and highly complex data, and one main challenge is to determine the "structure' of complex networks or ''shape'' of data. In the past few years, geometric and topological methods, as powerful tools that originated from Riemannian geometry,

From playlist Applied Geometry for Data Sciences 2022

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O'Reilly Webcast: Psychotronica

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From playlist O'Reilly Webcasts

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Logic 7 - First Order Logic | Stanford CS221: AI (Autumn 2021)

For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai Associate Professor Percy Liang Associate Professor of Computer Science and Statistics (courtesy) https://profiles.stanford.edu/percy-liang Assistant Professor

From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2021

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Stephan Weltge: Binary scalar products

We settle a conjecture by Bohn, Faenza, Fiorini, Fisikopoulos, Macchia, and Pashkovich (2015) concerning 2-level polytopes. Such polytopes have the property that for every facet-defining hyperplane H there is a parallel hyperplane H0 such that H and H0 contain all vertices. The authors con

From playlist Workshop: Tropical geometry and the geometry of linear programming

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Interpreting Motion Graphically (1 of 4: Direction of movement)

More resources available at www.misterwootube.com

From playlist Applications of Differentiation

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11. Pseudorandom graphs I: quasirandomness

MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX Prof. Zhao discusses a classic result of Chung, Graham, a

From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019

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Conjunctive normal form | Graph theory | Strongly connected component | Mathematical logic | Unit propagation | 2-satisfiability | Boolean expression | Vertex (graph theory) | Boolean satisfiability problem | Directed graph | Skew-symmetric graph | Material conditional