Epigraph
From Maths
Revision as of 11:04, 10 February 2017 by Alec (Talk | contribs) (Created page with "{{Stub page|grade=A|msg=Another reference would be good}} __TOC__ ==Definition== Let {{M|S\in\mathcal{P}(\mathbb{R}^n)}} be an arbitrary subset of {{M|\mathbb{R}^n}} and l...")
Stub grade: A
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.The message provided is:
Another reference would be good
Contents
Definition
Let [ilmath]S\in\mathcal{P}(\mathbb{R}^n)[/ilmath] be an arbitrary subset of [ilmath]\mathbb{R}^n[/ilmath] and let [ilmath]f:S\rightarrow\mathbb{R} [/ilmath] be a function, the epigraph of [ilmath]f[/ilmath], [ilmath]G\subseteq\mathcal{P}(\mathbb{R}^{n+1})[/ilmath] is defined as followsTemplate:RAFCIRAMP:
- [ilmath]G:\eq\{ (x_1,\ldots,x_n,y)\in\mathbb{R}^{n+1}\ \vert\ x\in S\wedge y\eq f(x)\} [/ilmath]