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Half-space may refer to: Half-space (geometry), either of the two parts into which a plane divides Euclidean space (Poincaré) Half-space model, a model...

half-space is called a half-plane (open or closed). A half-space in a one-dimensional space is called a half-line or ray. More generally, a half-space is...

white space when text is rendered for display by a computer. For example, a space character (U+0020   SPACE, ASCII 32) represents blank space such as...

In mathematics, the Siegel upper half-space of degree g (or genus g) (also called the Siegel upper half-plane) is the set of g × g symmetric matrices over...

the half-plane model and the Poincaré disk model. This model can be generalized to model an n + 1 {\displaystyle n+1} dimensional hyperbolic space by replacing...

in An elastic sphere of radius R {\displaystyle R} indents an elastic half-space where total deformation is d {\displaystyle d} , causing a contact area...

\|u\|_{H^{p}}=\|f\|_{L^{p}}} Thus, again, the Hardy space Hp on the upper half-plane is a Banach space, and, in particular, its restriction to the real axis...

anti-de Sitter space (AdSn) is a maximally symmetric Lorentzian manifold with constant negative scalar curvature. Anti-de Sitter space and de Sitter space are named...

instead. Each is an example of two-dimensional half-space. The affine transformations of the upper half-plane include shifts ( x , y ) ↦ ( x + c , y )...

cooling of a lithosphere plate or mantle half-space in areas without significant subduction. In the mantle half-space model, the seabed height is determined...

needed][clarification needed] The analytical solution of SV-wave in a half-space indicates that the plane SV wave reflects back to the domain as a P and...

half-spaces bounded by the hyperplane, S {\displaystyle S} has at least one boundary-point on the hyperplane. Here, a closed half-space is the half-space...

the intersection of half-spaces. In non-Euclidean geometry, the ambient space might be the n-dimensional sphere or hyperbolic space, or more generally...

terms of a convex set of points in space. Other important definitions are: as the intersection of half-spaces (half-space representation) and as the convex...

If a half-space is taken as a kind of degenerate ball (without a well-defined center or radius), a half-space can be taken as analogous to a half-bounded...

{\displaystyle \{x\in V\mid f(x)\geq c\},} and likewise an open half-space uses strict inequality. Half-spaces (open or closed) are affine convex cones. Moreover (in...

the cone q ( x ) = 0 {\displaystyle q(x)=0} inside projective space for the half-space. Beltrami–Klein model: This is another model realised on the unit...

contact problems with general material models and geometries, and into half-space based approaches for so-called smooth-edged contact problems for linearly...

point A is called its initial point. It is also known as half-line, a one-dimensional half-space. The point A is considered to be a member of the ray. Intuitively...

half-space not searched. If this distance is greater than that returned in the earlier result, then clearly there is no need to search the other half-space...