Set subtraction
From Maths
Revision as of 16:14, 28 August 2015 by Alec (Talk | contribs) (Created page with "==Definition== Given two sets, {{M|A}} and {{M|B}} we define ''set subtraction'' as follows: * {{M|1=A-B=\{x\in A\vert x\notin B\} }} ==Other names== * Relative complement **...")
Contents
Definition
Given two sets, [ilmath]A[/ilmath] and [ilmath]B[/ilmath] we define set subtraction as follows:
- [ilmath]A-B=\{x\in A\vert x\notin B\}[/ilmath]
Other names
- Relative complement
- This comes from the fact that the complement of a subset of [ilmath]X[/ilmath], [ilmath]A[/ilmath] is just [ilmath]X-A[/ilmath]
Notations
Other notations include:
- [ilmath]A\setminus B[/ilmath]
Expressions that are equal to set subtraction
- [ilmath]A-B=(A^c\cup B)^c[/ilmath]
TODO: Be bothered to do this
See also
References
TODO: Find references
