Definitions for mathematical function
math·e·mat·i·cal func·tion

Princeton's WordNetRate this definition:0.0 / 0 votes

1. function, mathematical function, single-valued function, map, mappingnoun

   (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)

WikipediaRate this definition:0.0 / 0 votes

1. mathematical function

   In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Functions were originally the idealization of how a varying quantity depends on another quantity. For example, the position of a planet is a function of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century, and, until the 19th century, the functions that were considered were differentiable (that is, they had a high degree of regularity). The concept of a function was formalized at the end of the 19th century in terms of set theory, and this greatly enlarged the domains of application of the concept. A function is most often denoted by letters such as f, g and h, and the value of a function f at an element x of its domain is denoted by f(x); the numerical value resulting from the function evaluation at a particular input value is denoted by replacing x with this value; for example, the value of f at x = 4 is denoted by f(4). When the function is not named and is represented by an expression E, the value of the function at, say, x = 4 may be denoted by E|x=4. For example, the value at 4 of the function that maps x to ( x + 1 ) 2 {\displaystyle (x+1)^{2}} may be denoted by ( x + 1 ) 2 | x = 4 {\displaystyle \left.(x+1)^{2}\right\vert _{x=4}} (which results in 25).A function is uniquely represented by the set of all pairs (x, f (x)), called the graph of the function, a popular means of illustrating the function. When the domain and the codomain are sets of real numbers, each such pair may be thought of as the Cartesian coordinates of a point in the plane. Functions are widely used in science, engineering, and in most fields of mathematics. It has been said that functions are "the central objects of investigation" in most fields of mathematics.

ChatGPTRate this definition:0.0 / 0 votes

1. mathematical function

   A mathematical function is a relation between a set of inputs and a set of outputs with the property that each unique input is associated with exactly one output. In other words, it is a rule that assigns each element from one set, often called the domain, to exactly one element from another set, often called the range.

Matched Categories

1. • Mathematical Relation
   • Mathematics

How to pronounce mathematical function?

1. Alex

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   David

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How to say mathematical function in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of mathematical function in Chaldean Numerology is: 3

2. Pythagorean Numerology

   The numerical value of mathematical function in Pythagorean Numerology is: 1

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=mathematical function
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Mathematical_Function
3. ^ ChatGPT
   https://chat.openai.com