half space
The concept of a "half space" is widely used in geometry, mathematics, physics, and engineering to describe regions divided by a plane or hyperplane.
Definition
C1Geometry
(technical, academic)One of the two regions into which a plane divides three-dimensional space, extending infinitely on one side of the plane.
Example
- The plane sliced the cube into two half spaces, each extending infinitely.
C1Mathematics
(technical, academic)A subset of a vector space separated by a hyperplane, extending infinitely in one direction from that hyperplane.
Example
- In linear programming, solutions often lie within a half space defined by a linear inequality.
C1Physics and Engineering
(technical, academic)A region extending infinitely from a plane boundary, used to model semi-infinite domains.
Example
- The ground can be approximated as a half space in certain geophysical models.
Similar
Terms that have similar or relatively close meanings to "half space":
near spaceempty spacefree spacefactor spacedual spacelittle spacethin spacedanger spacedark spacethick spacedeep spaceouter spacephase spacejoint spaceminimal surfacepersonal spacethird space