Difference between revisions of "Union"
From Maths
(Created page with "==Definition== Given a collection of sets {{M|\{S_\alpha\}_{\alpha\in A} }} their union is: * {{MM|1=\bigcup_{\alpha\in A}S_\alpha}} with the characteristic property that: **...") |
m (Marking as stub page) |
||
| Line 1: | Line 1: | ||
| + | {{Stub page}} | ||
| + | {{Requires references}} | ||
==Definition== | ==Definition== | ||
Given a collection of sets {{M|\{S_\alpha\}_{\alpha\in A} }} their union is: | Given a collection of sets {{M|\{S_\alpha\}_{\alpha\in A} }} their union is: | ||
| Line 8: | Line 10: | ||
<references/> | <references/> | ||
{{Definition|Set Theory}} | {{Definition|Set Theory}} | ||
| − | |||
Latest revision as of 12:15, 16 March 2016
(Unknown grade)
This page is a stub
This page is a stub, so it contains little or minimal information and is on a to-do list for being expanded.
(Unknown grade)
This page requires references, it is on a to-do list for being expanded with them.
Please note that this does not mean the content is unreliable, it just means that the author of the page doesn't have a book to hand, or remember the book to find it, which would have been a suitable reference.
Definition
Given a collection of sets [ilmath]\{S_\alpha\}_{\alpha\in A} [/ilmath] their union is:
- [math]\bigcup_{\alpha\in A}S_\alpha[/math] with the characteristic property that:
- [math]x\in\bigcup_{\alpha\in A}S_\alpha\iff\exists\beta\in A[x\in S_\beta][/math]
