Difference between revisions of "Convex"
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| − | + | {{Disambiguation}} | |
| − | {{Definition|Analysis|Functional Analysis}} | + | * [[Convex set]] - you probably want this. For a [[vector space]] {{M|(X,\mathbb{K})}} a [[subset of]] {{M|X}}, say {{M|C\in\mathcal{P}(X)}} is convex if |
| + | ** {{M|\forall x,y\in C\forall t\in[0,1]\subset\mathbb{R}[x+t(y-x)\in C]}} - the line between any two points in the set is also in the set | ||
| + | * [[Convex function]] - we call a [[function]] convex in this case | ||
| + | ** {{XXX|Expand once that definition is known a bit better!}} | ||
| + | {{Definition|Analysis|Functional Analysis|Combinatorial Optimisation|Convex Optimisation}} | ||
Latest revision as of 14:50, 9 February 2017
Disambiguation
This page lists articles associated with the same title.
If an internal link led you here, you may wish to change the link to point directly to the intended article.
Convex may refer to:
- Convex set - you probably want this. For a vector space [ilmath](X,\mathbb{K})[/ilmath] a subset of [ilmath]X[/ilmath], say [ilmath]C\in\mathcal{P}(X)[/ilmath] is convex if
- [ilmath]\forall x,y\in C\forall t\in[0,1]\subset\mathbb{R}[x+t(y-x)\in C][/ilmath] - the line between any two points in the set is also in the set
- Convex function - we call a function convex in this case
- TODO: Expand once that definition is known a bit better!
-
