In the problem of classical group testing one aims to identify a small subset (of size $d$ ) diseased individuals/defective items in large population notation="LaTeX">$n$ ). This process is based on minimal number suitably-designed te...

Let P be a polyhedron in H$ of finite volume such that the group Γ(P) generated by reflections in the faces of P is a discrete subgroup of IsomH$. Let Γ+(P) denote the subgroup of index 2 consisting entirely of orientation-preserving isometries so that Γ+(P) is a Kleinian group of finite covolume. Γ+(P) is called a polyhedral group. As discussed in [12] and [13] for example (see §2 below), asso...

We propose a general paradigm for generating optimal coordinate frame fields that may be exploited to annotate and display curves and surfaces. Parallel-transport framings, which work well for open curves, generally fail to have desirable properties for cyclic curves and for surfaces. We suggest that minimal quaternion measure provides an appropriate generalization of parallel transport. Our fu...

0

The functions studied in the paper are quaternion-valued of a quaternionic variable. It is shown that left slice regular and right related by particular involution, intrinsic play central role theory functions. relation between functions, revealed. As an application, classical Laplace transform generalized naturally to quaternions two different ways, which function real variable or function. us...