Boolean algebra

Boolean domain

In mathematics and abstract algebra, a Boolean domain is a set consisting of exactly two elements whose interpretations include false and true. In logic, mathematics and theoretical computer science, a Boolean domain is usually written as {0, 1}, or The algebraic structure that naturally builds on a Boolean domain is the Boolean algebra with two elements. The initial object in the category of bounded lattices is a Boolean domain. In computer science, a Boolean variable is a variable that takes values in some Boolean domain. Some programming languages feature reserved words or symbols for the elements of the Boolean domain, for example false and true. However, many programming languages do not have a Boolean datatype in the strict sense. In C or BASIC, for example, falsity is represented by the number 0 and truth is represented by the number 1 or −1, and all variables that can take these values can also take any other numerical values. (Wikipedia).

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Francesco Ciraulo: Notions of Booleanization in pointfree Topology

The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: Boolean algebras play a key role in the foundations of classical mathematics. And a similar role is played by Heyting algebras for constructive mathematics. But this is

From playlist Workshop: "Constructive Mathematics"

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Boole polynumbers and equivalent circuits | Math Foundations 264 | N J Wildberger

We want to explain how to associate algebraic expressions to logic circuits which encode their values on various input values, in other words which encode the Boolean functions of circuits. We first review the idea of a polynumber, as opposed to a polynomial, which allows us to concentrat

From playlist Boole's Logic and Circuit Analysis

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Boolean Algebra 1 – The Laws of Boolean Algebra

This computer science video is about the laws of Boolean algebra. It briefly considers why these laws are needed, that is to simplify complex Boolean expressions, and then demonstrates how the laws can be derived by examining simple logic circuits and their truth tables. It also shows ho

From playlist Boolean Algebra

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Using Boolean in Python (Python Tutorial #11)

Using Boolean in Python - let's go! This entire series in a playlist: https://goo.gl/eVauVX Also, keep in touch on Facebook: https://www.facebook.com/entercsdojo And Twitter: https://twitter.com/ykdojo

From playlist Python Tutorials for Absolute Beginners by CS Dojo

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Boolean Algebra: Sample Problems

In this video, I work through some sample problems relating to Boolean algebra. Specific, I work through examples of translating equivalences from logical or set notation to Boolean notation, and also a derivation using Boolean equivalences.

From playlist Discrete Mathematics

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JavaScript Lingo: Value Types

Learn about the three most basic types of values: booleans, strings, and numbers. A boolean is a true or false value. These words are special and reserved. You can't name a variable "true", because that word is already universal as a boolean (as is "false"). A string is a set of characte

From playlist Computer Science and Software Engineering Theory with Briana

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PGConf NYC 2021 - Advanced Data Types in PostgreSQL by Andreas Scherbaum

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From playlist PGConf NYC 2021

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Boolean Algebra 2 – Simplifying Complex Expressions

This video follows on from the one about the laws of Boolean algebra. It explains some useful interpretations of the laws of Boolean algebra, in particular, variations of the annulment and distributive laws. It goes on to demonstrate how Boolean algebra can be applied to simplify comple

From playlist Boolean Algebra

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A polynomial lower bound for monotonicity testing...- Rocco Servedio

Rocco Servedio Columbia University March 31, 2014 We prove a Ω̃ (n1/5)Ω~(n1/5) lower bound on the query complexity of any non-adaptive two-sided error algorithm for testing whether an unknown n-variable Boolean function is monotone versus constant-far from monotone. This gives an exponenti

From playlist Mathematics

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The Monomial Structure of Boolean Functions - Shachar Lovett

Workshop on Additive Combinatorics and Algebraic Connections Topic: The Monomial Structure of Boolean Functions Speaker: Shachar Lovett Affiliation: University of California, San Diego Date: October 25, 2022  Let f:0,1n to 0,1 be a boolean function. It can be uniquely represented as a mu

From playlist Mathematics

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Boolean function analysis: beyond the Boolean cube - Yuval Filums

http://www.math.ias.edu/seminars/abstract?event=128828 More videos on http://video.ias.edu

From playlist Mathematics

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Logical Perceptron

Exploration of the Logic of a Perceptron, the impact of its parameters, and how to interpret Neural Network in term of logic as well. #SoME2 #mathematics #maths #math #neuralnetworks #perceptron #neuron #deeplearning #machinelearning #logic #truthtable #digitalcircuits Music : https://s

From playlist Summer of Math Exposition 2 videos

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Nexus Trimester - Paul Beame (University of Washington) - 3

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From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme

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Domain Specific Applications

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From playlist Advanced Information Retrieval 2021 - TU Wien

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Is your distribution in shape? - Ronitt Rubinfeld

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From playlist Mathematics

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A Complete Dichotomy Rises from the Capture of Vanishing Signatures - Jin-Yi Cai

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From playlist Mathematics

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Finding the Domain of Functions (Precalculus - College Algebra 4)

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From playlist Precalculus - College Algebra/Trigonometry

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Gilles de Castro: C*-algebras and Leavitt path algebras for labelled graphs

Talk by Gilles de Castro at Global Noncommutative Geometry Seminar (Americas) on November 19, 2021. https://globalncgseminar.org/talks/tba-16/

From playlist Global Noncommutative Geometry Seminar (Americas)

Related pages

Two-element Boolean algebra | Probabilistic logic | Algebraic structure | Abstract algebra | GF(2) | Truth value | Mathematics | Set (mathematics) | Unit interval | Theoretical computer science | Fuzzy logic | Boolean-valued function | Category (mathematics)