= Supporting hyperplane
{wiki=Supporting_hyperplane}
A **supporting hyperplane** is a concept from convex analysis and geometry, particularly in the context of convex sets and optimization. It relates to how we can visualize and understand the boundaries of convex sets in multidimensional spaces. Formally, a hyperplane can be defined as a flat, affine subspace of one dimension less than the dimension of the surrounding space. For example, in a 3-dimensional space, a hyperplane is a 2-dimensional plane.
Back to article page