Surjective function (redirect from Surjection)
In mathematics, a surjective function (also known as surjection, or onto function /ˈɒn.tuː/) is a function f such that, for every element y of the function's...
18 KB (2,182 words) - 21:42, 22 August 2024
In mathematics, injections, surjections, and bijections are classes of functions distinguished by the manner in which arguments (input expressions from...
15 KB (2,208 words) - 01:33, 2 May 2024
Functions which satisfy property (3) are said to be "onto Y " and are called surjections (or surjective functions). Functions which satisfy property (4) are said...
19 KB (2,509 words) - 09:03, 29 July 2024
{\displaystyle h=f\circ g} for a suitable injection f {\displaystyle f} and surjection g . {\displaystyle g.} This decomposition is unique up to isomorphism...
16 KB (2,493 words) - 13:11, 1 June 2024
Rigidity (mathematics) (redirect from Rigid surjection)
the term rigid is also used to define the notion of a rigid surjection, which is a surjection f : n → m {\displaystyle f:n\to m} for which the following...
5 KB (753 words) - 23:01, 10 May 2023
Equivalence class (redirect from Canonical surjection)
which maps each element to its equivalence class, is called the canonical surjection, or the canonical projection. Every element of an equivalence class characterizes...
16 KB (2,323 words) - 14:04, 15 June 2024
According to this characterization, an ordered enumeration is defined to be a surjection (an onto relationship) with a well-ordered domain. This definition is...
11 KB (1,637 words) - 17:00, 15 April 2024
equivalently, a surjection from a set to another set. The function from elements to equivalence classes is a surjection, and every surjection corresponds...
2 KB (319 words) - 15:36, 16 May 2023
{\displaystyle \ker(f)} is a closed set. If f {\displaystyle f} is an open surjection and ker ( f ) {\displaystyle \ker(f)} is a closed set then Y {\displaystyle...
16 KB (2,163 words) - 10:32, 20 August 2024
function is a surjection, in that the function is surjective if and only if its codomain equals its image. In the example, g is a surjection while f is not...
9 KB (1,041 words) - 10:24, 27 December 2023