Convexity#
Convex Combination#
A convex combination is just a linear combination constrained to have nonnegative coefficients sum to unity.
\( \begin{aligned} \sum_{i=1}^na_ix_i\,\,\,\text{where}\,a_i\ge0\,\,\,\text{and}\,\sum_{i=1}^na_i=1 \end{aligned} \)
Terms#
[W] Carathéodory’s Theorem
[W] Concave Function
[W] Concave Polygon
[W] Convex Analysis
[W] Convex Combination
[W] Convex Curve
[W] Convex Function
[W] Convex Hull
[W] Convex Hull, algorithms
[W] Convex Hull, Orthogonal
[W] Convex Geometry
[W] Convex Optimization
[W] Convex Polygon
[W] Convex Polytope
[W] Convex Set
[W] Convex Surface
[W] Uniformly Convex Space