Mathematical logic | Elementary arithmetic | Equivalence (mathematics) | Binary relations
In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object. The equality between A and B is written A = B, and pronounced A equals B. The symbol "=" is called an "equals sign". Two objects that are not equal are said to be distinct. For example: * means that x and y denote the same object. * The identity means that if x is any number, then the two expressions have the same value. This may also be interpreted as saying that the two sides of the equals sign represent the same function. * if and only if This assertion, which uses set-builder notation, means that if the elements satisfying the property are the same as the elements satisfying then the two uses of the set-builder notation define the same set. This property is often expressed as "two sets that have the same elements are equal." It is one of the usual axioms of set theory, called axiom of extensionality. (Wikipedia).
The Difference Between an Expression and an Equation
This video explains the difference between an expression and an equation. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Introduction to Linear Equations in One Variable
Writing and Graphing Inequalities
This video is about Writing and Graphing Inequalities
From playlist Equations and Inequalities
Put all three properties of binary relations together and you have an equivalence relation.
From playlist Abstract algebra
Inequalities for Math Olympiad Lesson 1: The Basics
basic properties of inequality, and a few non-trivial examples.
From playlist Inequalities for Math Olympiad Series
Solving and Graphing an inequality when the solution point is a decimal
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Solving and graphing a linear inequality
👉 Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-ste
From playlist Solve and Graph Inequalities | Multi-Step Without Parenthesis
"Represent solutions of an inequality on a number line."
From playlist Algebra: Inequalities
SHM - 16/01/15 - Constructivismes en mathématiques - Thierry Coquand
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From playlist Les constructivismes mathématiques - Séminaire d'Histoire des Mathématiques
Richard Feynman - The.Character.of.Physical.Law - Part 2 (full version)
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From playlist Feynman's Lectures
Mandelbrot fractal zoom // featuring Euler bio
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From playlist Misc.
Topology Without Tears - Video 4d - Writing Proofs in Mathematics
This is part (d) of the fourth video in a series of videos which supplement my online book "Topology Without Tears" which is available free of charge at www.topologywithouttears.net Video 4 focusses on the extremely important topic of writing proofs. This video is about Mathematical Induc
From playlist Topology Without Tears
Lecture with Ole Christensen. Kapitler: 00:00 - Introduction; 06:45 - Vector Spaces; 07:15 - Example 1; 12:00 - Mathematical Tool - Fourier Transform; 17:00 - Example 2; 20:00 - Example 3; 23:00 - New Concept - Norm; 27:45 - Lemma 2.1.2 - The Opposite Triangle Inequality; 35:15 - Convergen
From playlist DTU: Mathematics 4 Real Analysis | CosmoLearning.org Math
I is a Strange Loop - written and performed by Marcus du Sautoy and Victoria Gould
From the creative ensemble behind Complicité’s sensational A Disappearing Number, this two-hander unfolds to reveal an intriguing take on mortality, consciousness and artificial life. Alone in a cube that glows in the darkness, X is content with its infinite universe and abstract thought.
From playlist Oxford Mathematics Public Lectures
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From playlist Summer of Math Exposition Youtube Videos
The mathematical work of Vladimir Voevodsky - Dan Grayson
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From playlist Mathematics
Des MacHale - The Humour Of Mathematics - CoM Mar 2022
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From playlist Celebration of Mind
Solving and graphing an inequality
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Mathematical Induction Examples
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From playlist PreCalculus