U+2061 Function Application
U+2061 was added to Unicode in version 3.2 (2002). It belongs to the block
This character is a Format and is commonly used, that is, in no specific script.
The glyph is not a composition. It has a Neutral East Asian Width. In bidirectional context it acts as Boundary Neutral and is not mirrored. In text U+2061 behaves as Alphabetic regarding line breaks. It has type Format for sentence and Format for word breaks. The Grapheme Cluster Break is Control.
The Wikipedia has the following information about this codepoint:
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.
The earliest known approach to the notion of function can be traced back to works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. 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} ightvert _{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.
Representations
System | Representation |
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Nº | 8289 |
UTF-8 | E2 81 A1 |
UTF-16 | 20 61 |
UTF-32 | 00 00 20 61 |
URL-Quoted | %E2%81%A1 |
HTML hex reference | ⁡ |
Wrong windows-1252 Mojibake | â¡ |
HTML named entity | ⁡ |
HTML named entity | ⁡ |
Elsewhere
Complete Record
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3.2 (2002) | |
FUNCTION APPLICATION | |
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not a number | |
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R |