We discuss the advantages and disadvantages of a functional approach to clustering of spatial-temporal data. This leads us to suggest an alternative methodology which allows cluster memberships to vary over both temporal and spacial domains. One advantage of our approach is that it can easily incorporate time-varying covariates. A fitting algorithm is developed and we provide a simple simulatio...

The Darboux–Dressing Transformations are applied to the Lax pair associated to the system of nonlinear equations describing the resonant interaction of three waves in 1+1 dimensions. We display explicit solutions featuring localized waves whose profile vanishes at the spacial boundary |x| = ∞, and which are not pure soliton solutions. These solutions depend on an arbitrary function and allow to...

—Using a quaternionic reformulation of the threedimensional Electrical Impedance Equation, and a generalization of the Bers generating sets, as well as the Beltrami equation, we introduce a new class of exact solutions for the case when the conductivity is represented by a separable-variables function depending upon three spacial variables. Finally, we discuss the possible contribution of these...

We study a new class of numerical solutions for the Dirac equation, considering electric potentials depending upon one spacial variable, based on the numerical approaching of the Taylor series in formal powers, solutions of a biquaternionic Vekua equation. Furthermore, employing the solutions of the Dirac equation, we plot the probability functions that describe the dynamics of the quantum part...

New static regular axially symmetric solutions of SU(2) Euclidean Yang-Mills theory are constructed numerically. They represent calorons having non-trivial Polyakov loop at spacial infinity. The solutions are labeled by two integers m,n. It is shown that besides known, charge one self-dual periodic instanton solution, there are other non-self dual solutions of the Yang-Mills equations naturally...

Three dimensional (3D) nanostructured substrates play an important role in a variety of biomedically-oriented nanodevices as well as in functional devices created with the use of DNA scaffolding. Spacial arrangements of binding centers influence the efficiency of these 3D substrates. We compute and analyze the distribution of distances (q) between binding centers in the case where the centers a...

Abstract Tokamak and inertial confinement fusion(ICF) are two kinds of devices to achieve fusion. Magnetic gravitational fields the drivers used in tokamak ICF, respectively. In other fusion like MIF, both them used. this work, different from these mentioned above, a new promising method confine plasma is proposed. Spacial distribution energy high-speed changing magnetic field simulated. This e...

This paper reconsiders the single commodity allocation problem (SCAP) for disaster recovery, which determines where and how to stockpile a commodity before a disaster and how to route the commodity once the disaster has hit. It shows how to scale the SCAP algorithm proposed in [1] to a geographical area with up to 1,000 storage locations (over a million decision variables). More precisely, the ...