Identity function
An identity function is a function which maps a set S to itself. In particular, a function id maps any element (such as numbers) to themselves.
An identity function is a function which maps a set S to itself. In particular, a function id maps any element (such as numbers) to themselves.
Written another way, is the function from X → X, f(x) = x, which maps every element x to itself.
In elementary math, the main example is f(x) = x with the set of numbers.
Notation
The function idS typically denotes the identify function of a set S, the S in the subscript denotes the set S.
Algebraic properties
Given two sets X and Y with function f from X → Y, we have the two identities idX and idY, as well, having "○" denote function composition. We have the following
Content Disclaimer
Informasi ini disarikan dari Wikipedia dan disajikan kembali untuk tujuan edukasi. Konten tersedia di bawah lisensi CC BY-SA 3.0. Kami tidak bertanggung jawab atas ketidakakuratan data yang bersumber dari kontribusi publik tersebut.
- The information displayed on this website is sourced in part or in whole from Wikipedia and has been adapted for the purpose of restating it. We strive to provide accurate and relevant information, however:
- There is no guarantee of absolute accuracy. Wikipedia is an open, collaborative project that can be edited by anyone, so information is subject to change.
- It is not intended to constitute professional advice. The content displayed is for informational and educational purposes only. For important decisions (e.g., medical, legal, or financial), please consult a professional.
- Content copyright. Wikipedia is licensed under the Creative Commons Attribution-ShareAlike License (CC BY-SA). This means that content may be reused with appropriate attribution and shared under a similar license.
- Responsible use. Any risk arising from the use of information from this website is entirely the responsibility of the user.