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The following table lists many specialized symbols commonly used in modern mathematics, ordered by their introduction date. The table can also be ordered alphabetically by clicking on the relevant header title.
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. [1] The set X is called the domain of the function [2] and the set Y is called the codomain of the function. [3] Functions were originally the idealization of how a varying quantity depends on another quantity.
Mathematical notation consists of using symbols for representing operations, unspecified numbers, relations, and any other mathematical objects and assembling them into expressions and formulas. Mathematical notation is widely used in mathematics , science , and engineering for representing complex concepts and properties in a concise ...
In mathematics, "?" commonly denotes Minkowski's question mark function. In linear logic, the question mark denotes one of the exponential modalities that control weakening and contraction. When placed above the relational symbol in an equation or inequality, a question-mark annotation means that the stated relation is "questioned". This can be ...
The successor function is part of the formal language used to state the Peano axioms, which formalise the structure of the natural numbers.In this formalisation, the successor function is a primitive operation on the natural numbers, in terms of which the standard natural numbers and addition are defined. [1]
In mathematics, the positive part of a real or extended real-valued function is defined by the formula + = ((),) = {() > Intuitively, the graph of f + {\displaystyle f^{+}} is obtained by taking the graph of f {\displaystyle f} , chopping off the part under the x -axis, and letting f + {\displaystyle f^{+}} take the value zero there.
If an airplane's altitude at time t is a(t), and the air pressure at altitude x is p(x), then (p ∘ a)(t) is the pressure around the plane at time t. Function defined on finite sets which change the order of their elements such as permutations can be composed on the same set, this being composition of permutations.
Function application can be trivially defined as an operator, called apply or $, by the following definition: $ = The operator may also be denoted by a backtick (`).. If the operator is understood to be of low precedence and right-associative, the application operator can be used to cut down on the number of parentheses needed in an expression.
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