Normal forms (logic)

Conjunctive normal form

In Boolean logic, a formula is in conjunctive normal form (CNF) or clausal normal form if it is a conjunction of one or more clauses, where a clause is a disjunction of literals; otherwise put, it is a product of sums or an AND of ORs. As a canonical normal form, it is useful in automated theorem proving and circuit theory. All conjunctions of literals and all disjunctions of literals are in CNF, as they can be seen as conjunctions of one-literal clauses and conjunctions of a single clause, respectively. As in the disjunctive normal form (DNF), the only propositional connectives a formula in CNF can contain are and, or, and not. The not operator can only be used as part of a literal, which means that it can only precede a propositional variable or a predicate symbol. In automated theorem proving, the notion "clausal normal form" is often used in a narrower sense, meaning a particular representation of a CNF formula as a set of sets of literals. (Wikipedia).

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Conjunctive Normal Form (CNF) and Disjunctive Normal Form (DNF) - Logic

In this video on #Logic, we learn how to find the Sum of Products (SOP) and Product of Sums (POS). This is also known as Disjunctive Normal Form (DNF) and Conjunctive Normal Form (CNF). We focus on the procedure and I briefly explain why it works. 0:00 - [Intro] 1:36 - [Sum of Products /

From playlist Logic in Philosophy and Mathematics

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Differential Equations | Convolution: Definition and Examples

We give a definition as well as a few examples of the convolution of two functions. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Differential Equations

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11_6_1 Contours and Tangents to Contours Part 1

A contour is simply the intersection of the curve of a function and a plane or hyperplane at a specific level. The gradient of the original function is a vector perpendicular to the tangent of the contour at a point on the contour.

From playlist Advanced Calculus / Multivariable Calculus

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Convolution Theorem: Fourier Transforms

Free ebook https://bookboon.com/en/partial-differential-equations-ebook Statement and proof of the convolution theorem for Fourier transforms. Such ideas are very important in the solution of partial differential equations.

From playlist Partial differential equations

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What is a concave polygon

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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Concavity and Parametric Equations Example

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Concavity and Parametric Equations Example. We find the open t-intervals on which the graph of the parametric equations is concave upward and concave downward.

From playlist Calculus

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What is an Injective Function? Definition and Explanation

An explanation to help understand what it means for a function to be injective, also known as one-to-one. The definition of an injection leads us to some important properties of injective functions! Subscribe to see more new math videos! Music: OcularNebula - The Lopez

From playlist Functions

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Logic 6 - Propositional Resolutions | 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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Convolution model form Brief 2019-04-12

Understanding the discrete convolution model form

From playlist Discrete

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CS224W: Machine Learning with Graphs | 2021 | Lecture 11.3 - Query2box: Reasoning over KGs

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3bngZHH Lecture 11.3 - Query2box Reasoning over KGs Using Box Embeddings Jure Leskovec Computer Science, PhD In this video, we show how to answer more complex quer

From playlist Stanford CS224W: Machine Learning with Graphs

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What is the difference between convex and concave

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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David Monniaux : SMT solving

Enregistré pendant la session « Algorithmique et programmation » le 8 mai 2018 au Centre International de Rencontres Mathématiques (Marseille, France) Réalisation: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Lib

From playlist Mathematical Aspects of Computer Science

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23C3: A Natural Language Database Interface using Fuzzy Semantics

Speaker: Richard Bergmair We give a thorough exposition of our natural language database interface that produces result sets ranked according to the degree to which database records fulfill our intuitions about vague expressions in natural language such as `a small rainy city near San Fr

From playlist 23C3: Who can you trust

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Bo'az Klartag - Convexity in High Dimensions I

October 28, 2022 This is the first talk in the Minerva Mini-course of Bo'az Klartag, Weizmann Institute of Science and Princeton's Fall 2022 Minerva Distinguished Visitor We will discuss recent progress in the understanding of the isoperimetric problem for high-dimensional convex sets, an

From playlist Minerva Mini Course - Bo'az Klartag

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Is the function continuous or not

👉 Learn how to determine whether a function is continuos or not. A function is said to be continous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is defined and is equal to the limit of the function. Other

From playlist Is the Functions Continuous or Not?

Related pages

Resolution (logic) | Interpretation (logic) | Quine–McCluskey algorithm | Clause (logic) | Automated theorem proving | Model theory | Propositional formula | Canonical normal form | Logical disjunction | Literal (mathematical logic) | Negation normal form | De Morgan's laws | Boolean satisfiability problem | Propositional variable | Disjunctive normal form | Equisatisfiability | Algebraic normal form | 2-satisfiability | Computational complexity theory | Logical equivalence | Boolean algebra | Horn clause | Logical conjunction | Skolem normal form | First-order logic