半平面
半平面 halbebene half-plane; half plane; half-piston; half-plane 半平太 hanpeita .
半周期带
... 半峰宽 half-period 半周期带 half-plane 半平面 half-plate ...
数 半平面 ; 半无限平面 ; 半面
计 右半面 ; 右半平面
左半个平面 ; 左半平面 ; 还有两个左半平面
In geometry, a half-space is either of the two parts into which a plane divides the three-dimensional Euclidean space. More generally, a half-space is either of the two parts into which a hyperplane divides an affine space. That is, the points that are not incident to the hyperplane are partitioned into two convex sets (i.e., half-spaces), such that any subspace connecting a point in one set to a point in the other must intersect the hyperplane.A half-space can be either open or closed. An open half-space is either of the two open sets produced by the subtraction of a hyperplane from the affine space. A closed half-space is the union of an open half-space and the hyperplane that defines it.If the space is two-dimensional, then a half-space is called a half-plane (open or closed). A half-space in a one-dimensional space is called a ray.A half-space may be specified by a linear inequality, derived from the linear equation that specifies the defining hyperplane.A strict linear inequality specifies an open half-space:A non-strict one specifies a closed half-space:Here, one assumes that not all of the real numbers a1, a2, ..., an are zero.
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