|
|
| Line 1: |
Line 1: |
| {{multiple image
| | Marvella is what you can contact her but it's not the most female title out there. In her professional life she is a payroll clerk but she's usually wanted her own business. Years in the past we moved to North Dakota. Body building is what my family and I enjoy.<br><br>Feel free to visit my webpage ... [http://topbuddies.com/profile/M12E std home test] |
| | align = right
| |
| | direction = vertical
| |
| | image1 = Injection keine Injektion 2a.svg
| |
| | caption1 = This diagram represents a single-valued function with domain <math>\{ 1, 2, 3 \}</math>. Each input, on the left, maps to a single output, on the right. This function is not [[injective]], however, because two different numbers both map to the output "C"
| |
| | image2 = Injection keine Injektion 1.svg
| |
| | caption2 = This does ''not'' represent a single-valued function; the input "2" maps to two distinct outputs. This type of correspondence is a [[multi-valued function]].
| |
| }}
| |
| A '''single-valued function''' is an emphatic term for a [[mathematical function]] in the usual sense. That is, each element of the [[function domain|function's domain]] maps to a single, well-defined element of its range. This contrasts with a general [[binary relation]], which can be viewed as being a [[multi-valued function]].
| |
| | |
| == Example ==
| |
| | |
| In [[complex analysis]], each complex number other than 0 has three distinct cube roots. Therefore, the function ''f''(''z'') = ''z''<sup>1/3</sup> can be naturally treated as a multi-valued function in which each number other than zero maps to three distinct values. The theory of [[Riemann surfaces]] gives a way to study the behavior of this function and other multi-valued functions on the complex numbers.
| |
| | |
| == Injective functions ==
| |
| | |
| A function is [[injective function|injective]] (also called "one-to-one") if each element of the range arises from a single element of the domain. In contrast, a function is single-valued if each element of the domain maps to a single element of the domain.
| |
| | |
| [[Category:Mathematical terminology]]
| |
| [[Category:Types of functions]]
| |
| | |
| {{maths-stub}}
| |
Revision as of 05:28, 28 February 2014
Marvella is what you can contact her but it's not the most female title out there. In her professional life she is a payroll clerk but she's usually wanted her own business. Years in the past we moved to North Dakota. Body building is what my family and I enjoy.
Feel free to visit my webpage ... std home test