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1. Divisibility: if m and n are two integers, means that m divides n evenly. 2. In set-builder notation, it is used as a separator meaning "such that"; see { | }. 3. Restriction of a function: if f is a function, and S is a subset of its domain, then | is the function with S as a domain that equals f on S. 4.
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
The international standard ISO 80000-2 (previously, ISO 31-11) specifies symbols for use in mathematical equations. The standard requires use of italic fonts for variables (e.g., E = mc 2) and roman (upright) fonts for mathematical constants (e.g., e or π).
The left cosets of any subgroup form a partition of ; that is, the union of all left cosets is equal to and two left cosets are either equal or have an empty intersection. [35] The first case g 1 H = g 2 H {\displaystyle g_{1}H=g_{2}H} happens precisely when g 1 − 1 ⋅ g 2 ∈ H {\displaystyle g_{1}^{-1}\cdot g_{2}\in H} , i.e ...
"subtract if possible, otherwise add": a(0) = 0; for n > 0, a(n) = a(n − 1) − n if that number is positive and not already in the sequence, otherwise a(n) = a(n − 1) + n, whether or not that number is already in the sequence.
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 ...
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y = x 3 for values of 1 ≤ x ≤ 25.. In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 2 3 = 8 or (x + 1) 3.