Convexity

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

Contents