Boolean algebra | Elementary algebra

Two-element Boolean algebra

In mathematics and abstract algebra, the two-element Boolean algebra is the Boolean algebra whose underlying set (or universe or carrier) B is the Boolean domain. The elements of the Boolean domain are 1 and 0 by convention, so that B = {0, 1}. Paul Halmos's name for this algebra "2" has some following in the literature, and will be employed here. (Wikipedia).

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Solving an equation by combining like terms 6=5c–9–2c

👉 Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse operations (addition or subtraction) to move like terms to

From playlist Solve Two Step Equations with Two Variables

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Solving and equation with the variable on the same side ex 3, 17=p–3–3p

👉 Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse operations (addition or subtraction) to move like terms to

From playlist Solve Two Step Equations with Two Variables

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Solving a linear equation with fractions in two different ways two step equation

👉 Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse operations (addition or subtraction) to move like terms to

From playlist Solve Two Step Equations with Fractions

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Learn to solve a two step equation with a number in the denominator

👉 Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse operations (addition or subtraction) to move like terms to

From playlist Solve Two Step Equations with a Fraction

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Linear and quadratic approximations -- Calculus II

This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

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Why Algebraic Data Types Are Important

Strong static typing detects a lot of bugs at compile time, so why would anyone prefer to program in JavaScript or Python? The main reason is that type systems can be extremely complex, often with byzantine typing rules (C++ comes to mind). This makes generic programming a truly dark art.

From playlist Functional Programming

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Kurusch EBRAHIMI-FARD - Wick Products and Combinatorial Hopf Algebras

Wick products play a central role in both quantum field theory and stochastic calculus. They originated in Wick’s work from 1950. In this talk we will describe Wick products using combinatorial Hopf algebra. Based on joint work with F. Patras, N. Tapia, L. Zambotti. https://indico.math.c

From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

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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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Lilya Budaghyan : On APN and AB power functions

CONFERENCE Recording during the thematic meeting : « ALgebraic and combinatorial methods for COding and CRYPTography» the February 23, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given b

From playlist Combinatorics

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Solving an equation with two terms in the numerator

👉 Learn how to solve two step rational linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. A rational equation is an equation containing at least one fraction whose numerator and (or) denominator are polynomials. To solve for a variable in a

From playlist Solve Two Step Equations with a Rational Fraction

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Solving an equation with two terms in the numerator

👉 Learn how to solve two step rational linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. A rational equation is an equation containing at least one fraction whose numerator and (or) denominator are polynomials. To solve for a variable in a

From playlist Solve Two Step Equations with a Rational Fraction

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Solving an equation with two terms in the numerator

👉 Learn how to solve two step rational linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. A rational equation is an equation containing at least one fraction whose numerator and (or) denominator are polynomials. To solve for a variable in a

From playlist Solve Two Step Equations with a Rational Fraction

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Solving an equation with two terms in the numerator

👉 Learn how to solve two step rational linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. A rational equation is an equation containing at least one fraction whose numerator and (or) denominator are polynomials. To solve for a variable in a

From playlist Solve Two Step Equations with a Rational Fraction

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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)

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Squashing theories into Heyting algebras

This is the first of two videos on Heyting algebra, Tarski-Lindenbaum and negation: https://gist.github.com/Nikolaj-K/1478e66ccc9b7ac2ea565e743c904555 Followup video: https://youtu.be/ws6vCT7ExTY

From playlist Logic

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Chi-Keung Ng: Ortho-sets and Gelfand spectra

Talk by Chi-Keung Ng in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on June 9, 2021

From playlist Global Noncommutative Geometry Seminar (Europe)

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Model Theory - part 04 - Posets, Lattices, Heyting Algebras, Booleans Algebras

This is a short video for people who haven't seen a Heyting algebras before. There is really nothing special in it that doesn't show up in wikipedia or ncatlab. I just wanted to review it before we use them. Errata: *at 3:35: there the law should read (a and (a or b) ), not (a and (a and

From playlist Model Theory

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Camille Male - Distributional symmetry of random matrices...

Camille Male - Distributional symmetry of random matrices and the non commutative notions of independence

From playlist Spectral properties of large random objects - Summer school 2017

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Heyting algebras and Negation

This is a follow up to https://youtu.be/lDhKE2SKF08. In this video we zoom in on Negation and also discuss models such as the 3-valued one for intuitionistic propositional logic. The script I'm using you can find here: https://gist.github.com/Nikolaj-K/1478e66ccc9b7ac2ea565e743c904555

From playlist Logic

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Solving an equation with variable on the same side

👉 Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse operations (addition or subtraction) to move like terms to

From playlist Solve Two Step Equations with Two Variables

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Quantifier elimination | Algebraic structure | Operation (mathematics) | Unary operation | Boolean domain | Lattice (order) | Sheffer stroke | Logical NOR | Map (mathematics) | Order of operations | Exponential function | Duality (order theory) | Boolean function | Universal algebra | Arity | Distributive lattice | Polynomial function | Decidability (logic) | Universe (mathematics) | Bounded set | Mathematics | Paul Halmos | Metatheorem | Concatenation | Laws of Form | Order theory | Axiom | Abstract algebra | Semiring | Willard Van Orman Quine | Logical equivalence | Boolean algebra | Elementary algebra | Binary operation | First-order logic | Abelian group | Boolean algebra (structure)