Geometry Affine geometry Concept
Affine combination
Summary
An affine combination of points is a weighted sum of the points whose weights add up to 1. It makes sense in an affine space, where a sum of points with arbitrary weights does not.
Where this leads
25 pages build on this one.
- Carathéodory's theorem
- Midpoint
- Affine span
- Convex set
- Convex hull
- Centroid
- Quasiconvex function
- Birkhoff–von Neumann theorem
- Mazur's lemma
- Gauss–Lucas theorem
- Birkhoff polytope
- Circumsphere
- Newton polygon
- Fenchel's theorem
- Straszewicz's theorem
- Empirical likelihood
- Convex combination
- Monge point
- Barycentric coordinates
- Minkowski–Carathéodory theorem
- Steinitz theorem on convex hull interiors
- Isotonic regression
- Affine independence
- Tverberg's theorem
- Colorful Carathéodory theorem
Further reading
- Web https://en.wikipedia.org/wiki/Affine_combination, lead section
About this page
| Tag | 0KJH6SRFZK |
|---|---|
| URI | m2://0KJH6SRFZK |
| Aliases | barycentre-of-weighted-points |
| Kind | concept |
| Writing | W0 stub |
| MSC | 51N10 |
| Same as |
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What links here
Used by
- Carathéodory's theorem
- Midpoint
- Affine span
- Convex set
- Convex hull
- Centroid
- Mazur's lemma
- Convex combination
- Barycentric coordinates
- Affine independence