A half-space is that portion of an -dimensional space obtained by removing that part lying on one side of an -dimensional hyperplane. For example, half a Euclidean space is given by the three-dimensional region satisfying , , , while a half-plane is given by the two-dimensional region satisfying , .
Half-Space
See also
Half-Plane, Halfspace Intersection, Ray, Siegel's Upper Half-SpaceExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Half-Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Half-Space.html