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  2. Equality (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Equality_(mathematics)

    In mathematics, equality is a relationship between two quantities or expressions, stating that they have the same value, or represent the same mathematical object. [1] Equality between A and B is written A = B, and pronounced "A equals B". In this equality, A and B are distinguished by calling them left-hand side (LHS), and right-hand side (RHS).

  3. Equivalence relation - Wikipedia

    en.wikipedia.org/wiki/Equivalence_relation

    The equipollence relation between line segments in geometry is a common example of an equivalence relation. A simpler example is equality. A simpler example is equality. Any number a {\displaystyle a} is equal to itself (reflexive).

  4. Identity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Identity_(mathematics)

    Visual proof of the Pythagorean identity: for any angle , the point (,) = (⁡, ⁡) lies on the unit circle, which satisfies the equation + =.Thus, ⁡ + ⁡ =. In mathematics, an identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and B (which might contain some variables) produce the same value for all values of the variables ...

  5. Equals sign - Wikipedia

    en.wikipedia.org/wiki/Equals_sign

    The equals sign (British English) or equal sign (American English), also known as the equality sign, is the mathematical symbol =, which is used to indicate equality in some well-defined sense. [1] In an equation , it is placed between two expressions that have the same value, or for which one studies the conditions under which they have the ...

  6. Proportion (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Proportion_(mathematics)

    A proportion is a mathematical statement expressing equality of two ratios. [1] [2]: =: a and d are called extremes, b and c are called means.. Proportion can be written as =, where ratios are expressed as fractions.

  7. Law (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Law_(mathematics)

    with equality only in the degenerate case of a triangle with zero area. In Euclidean geometry and some other geometries, the triangle inequality is a theorem about vectors and vector lengths : ‖ + ‖ ‖ ‖ + ‖ ‖,

  8. What is the 2024 Oxford Word of the Year? - AOL

    www.aol.com/2024-oxford-word-124548327.html

    The shortlist definitions were provided by Oxford. Lore. Noun: "A body of (supposed) facts, background information, and anecdotes relating to someone or something, regarded as knowledge required ...

  9. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    The first use of an equals sign, equivalent to 14x + 15 = 71 in modern notation. From The Whetstone of Witte by Robert Recorde of Wales (1557). [1]In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =.