Half Space

half space

[′haf ‚spās]
(building construction)
A broad step between two half flights of a stair.
(mathematics)
A space bounded only by an infinite plane.

Half Space

 

in mathematics, the set of points in space that lie on one side of some plane. The coordinates x, y, and z of the points of a half space satisfy the inequality Ax + By + Cz + D > 0, where A, B, C, and D are constants such that A, B, and C are not simultaneously equal to zero. The plane Ax + By + Cz + D = 0 is called the boundary of the half space. If the boundary is included in the half space, the half space is said to be closed.

References in periodicals archive ?
the system is equipped with a beam control unit by means of which all angular positions can be approached in the upper half space.
The 21 papers of this year's iteration include discussions of coupled multi-domain boundary element method and finite element method for analyzing interaction between fluids and structures, simulating pattern formation in reaction-diffusion systems by the local integral equation method, green element method solutions to steady inverse contaminant transport problems, an alternative dynamic fundamental solution for plate bending including the shear deformation effect, the inverse scattering analysis of elastic half space by means of the fast volume integral equation method, and the least squares method as a refining technique in boundary element method analysis.
Consider two limiting cases: (a) an elastic half space and (b) an elastic thin film with [omega]h << 1.
The elastic field in half space due to ellipsoidal inclusions with uniform dilatational eigenstrains, ASME Journal of Applied Mechanics 46(3): 568-572.
time is now remaining, Woodilee Located Woodilee boosting with Half space children's new Open Te stylish apartments buyers to be part of running out for discerning home but also Stunning from to Prices start the Colville Wynd success story.
We consider a thermo-elastic half space with diffusion with free surface along x-axis and negative z-axis is taken downward into the half-space as shown in Fig 1.
i] lie in an open half space in Char(T) [cross product] R; if this condition holds, we say that W is contracting.
Among the topics are a boundary element solution of thermal creeping flow in a nanometer single mixer, evaluating interface cracks, rotational symmetry applied to boundary element computation for nuclear fusion plasma, fundamental solutions for inverse obstacle acoustic scattering, the volume integral equation method for analyzing scattered waves in an elastic half space, and analyzing layered soil problems with an alternative multi-region boundary element method technique and a new infinite boundary element formulation.
Gharaibeh pointed out that GAM will inaugurate 3 parks on this occasion: Your Park (Hadikatokom) project in Um Nuwarah neighborhood, implemented in cooperation with the private sector on 2 dunnums and a half space area, Abdoun Park according to a BOT Contract signed with Housing Bank for Commerce and Funding, this park includes passageways, coffee shop, and interior parking lots of two underground floors with capacity of 250 cars, and exterior parking for 80 cars, as well as a branch for the Housing Bank offering all ATM services, and public facilities.
Sato studied the propagation of Love waves in a layer with sharp change in thickness while De Noyer considered the same in a layer over a half space with sinusoidal interface.
When the optoelectronics are arranged in a hemispherical or spherical shape, the half space or the entire space of interest can be put under surveillance without a moving lens," Ma said.