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 ?
In Persian, compound words should be near but not attached to each other, hence the half space.
When this is done, there is a half space between the two words, with Apple's omission of half-spaces, users had to insert a full space instead which, not surprisingly, made things look pretty weird.
Interpretation the results of the vertical electrical sounding as the geoelectrical half space with four layer.
Figure 8 shows the configuration to determine the location of an object (cylindrical reflector) in a half space using two transducers with conical reflectors in 180[degrees] configuration, both transducers operate in pulse-echo mode.
Sharma, "Effect of point source and heterogeneity on the propagation of SH-Waves in a viscoelastic layer over a viscoelastic half space," Acta Geophysica, vol.
Among specific topics are physical laws and Maxwell's equations, a quasi-stationary field of the magnetic dipole in a uniform medium, vertical magnetic dipole in the presence of uniform half space, principles of magneto-tellurics, and the behavior of the fields caused by currents in confined conductors.
As an example, we chose a full space, a half space, and a two-layer model with a double couple point rupture source (Fig.
We consider a half space (0 [less than or equal to] x < [infinity]) with x-axis pointing to the medium.
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.
The theory assumes that the homogeneous MTM medium is an infinite half space with no bounds and reflections.
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.