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Usage of this symbol dates back to the early computer interfaces developed at Xerox PARC in the 1980s. [18] It is also similar to the icon frequently used to indicate justified text alignment . It is an oft-used component of Google's Material Design guidelines and many Android apps and web apps that follow these guidelines make use of the ...
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 ...
It was common into the 18th century to use an abbreviation of the word equals as the symbol for equality; examples included æ and œ , from the Latin aequālis. [10] Diophantus's use of ἴσ , short for ἴσος (ísos 'equals'), in Arithmetica (c. 250 AD) is considered one of the first uses of an equals sign. [11]
2. Equivalence class: given an equivalence relation, [] often denotes the equivalence class of the element x. 3. Integral part: if x is a real number, [] often denotes the integral part or truncation of x, that is, the integer obtained by removing all digits after the decimal mark.
In other words, cubes (strictly) monotonically increase. Also, its codomain is the entire real line: the function x ↦ x 3 : R → R is a surjection (takes all possible values). Only three numbers are equal to their own cubes: −1, 0, and 1. If −1 < x < 0 or 1 < x, then x 3 > x. If x < −1 or 0 < x < 1, then x 3 < x.
The lower-case Latin letter x is sometimes used in place of the multiplication sign. This is considered incorrect in mathematical writing. This is considered incorrect in mathematical writing. In algebraic notation, widely used in mathematics, a multiplication symbol is usually omitted wherever it would not cause confusion: " a multiplied by b ...
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Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.