Let be a compactly supported, orthonormal scaling function that generates the linear space V0 2 L2(IR). We are motivated by the work of Walter and Shen [7]. In this paper, the authors use an Abel summation technique to build a positive scaling function Pr, 0 < r < 1, for the space V0. A reproducing kernel can in turn be constructed using Pr. This kernel is also positive, has unit integral, and ...

Fertiliser-drawn forward osmosis (FDFO) desalination has been recently studied as one feasible application of forward osmosis (FO) for irrigation. In this study, the potential of membrane scaling in the FDFO process has been investigated during the desalination of brackish groundwater (BGW). While most fertilisers containing monovalent ions did not result in any scaling when used as an FO draw ...

The selection of a computer visual display system suitable for word recognition and reading research is described. The software character generation routines permit flexible definition of character sets. The display software permits control of size scaling and point density of characters being displayed as well as control over the temporal microstructure of presenting and refreshing the display...

We analyze the eeects of random local linker length variability on the global morphology of a very long, linear, homogeneous chromatin ber that is modelled as a diiusion process that is parametrized by arclength under a suitable spatial re-scaling. We obtain Fokker-Planck equation for the process whose solution, a probability density function describes the folding.

We apply the Poisson equation to the quantum mechanical Coulomb problem for many-particle systems. By introducing a suitable basis set, the two-electron Coulomb integrals become simple overlaps. This offers the possibility of very rapid linear-scaling treatment of the Coulomb contribution to Kohn-Sham theory.

The inviscid 2D Boussinesq system with thermal diffusivity and multiplicative noise of transport type is studied in the $L^2$-setting. It shown that, under a suitable scaling noise, weak solutions to stochastic equations converge weakly unique solution deterministic viscous system. Consequently, asymptotically regularizes enhances dissipation limit.

In this article, a heuristic version of Multidimensional Scaling (MDS) named , like MDS, maps objects into an Euclidean space, such that similarities are preserved. In addition of being more efficient than MDS it allows query-by-example type of query, which makes it suitable for a content-based retrieval purposes.

In this paper, we propose a discrete-time model for mean-variance portfolio selection. One of the distinct features is that the system under consideration is a Markov modulated system. We show that under suitable conditions and scaling, the process of interest goes to a switching diffusion limit. Related issues on optimal strategies and efficient frontier will also be mentioned.