Tagiyev  has studied the problem of controlling the coefficients v = (k(x), q(x, t)) [member of] [L.sub.[infinity]]([OMEGA]) x [L.sub.[infinity]]([Q.sub.T]) for linear hyperbolic
The complex coordinate on the hyperbolic
disk, the hyperbolic
punctured disk, or an annulus is denoted by u.
In particular, in Section 3, we study some existence results in partially ordered hyperbolic
space for this class of nonexpansive type mapping and some illustrative nontrivial examples have also been discussed.
In Figure 4, the reflection intensity of the hyperbolic
image is not obviously changed with the increase of object epth.
[[phi].sup.*] is the angle of the resonance cone opening: the hyperbolic
medium is transparent only for the waves with the wave vector k inside the resonance cone, i.e., when the angle between the optical axis s of the MM and k is less than [[phi].sup.*], [angle](k, s) [less than or equal to] [[phi].sub.*].
Let M be a compact and oriented 3-manifold whose interior admits a finite volume hyperbolic
Furthermore, the hyperbolic
model is able to generate switching firing patterns of STN neurons caused by Parkinson's disease.
Due to the rich geometric properties of this space, a large amount of results have been published on hyperbolic
spaces such as [2-4].
The PWL approximation of hyperbolic
tangent with 256 linear sections provides a maximum error of 0.002 % using 32 bit arithmetic .
His art is based on the hyperbolic
method, namely, the exaggeration of facts about an item or, as he puts it, a better illumination of its qualities.
It is also called as hyperbolic
bio-heat equation as it is hyperbolic
in nature and reduced to parabolic equation for [tau] = 0.
The first model uses a hyperbolic
expression with the general form reported in earlier articles by Hatami and Bathurst  and Allen and Bathurst  but has been modified to explicitly include the influence of strain-rate on load-strain response of the PP geogrid material under monotonic and stepped constant rate-of-strain testing.