We consider a fully discrete implicit nite element approximation of a model for phase separation of a multi-component alloy. We prove existence, uniqueness and stability of the numerical solution for a suuciently small time step. We prove convergence to the solution of the associated continuous problem. We perform a linear stability analysis of the equations and describe some numerical experime...

Recently, Hinton introduced the products of experts architecture for density estimation, where individual expert probabilities are multiplied and renormalized. We consider products of gaussian "pancakes" equally elongated in all directions except one and prove that the maximum likelihood solution for the model gives rise to a minor component analysis solution. We also discuss the covariance str...

Self-management, self-connection and selfconfiguration capabilities are emerging as important requirements for a generation of large-scale, highly dynamic, distributed applications. We propose a new solution to manage the connection of the components in a distributed application automatically. Each component in the distributed application is equipped with an autonomous connection unit (ACU). Th...

A new methodology to measure local mechatronic property of biological gel has been proposed, and measurement system has been designed with a micro-vibrating electrode. The designed system consists of two electrodes, where one of the electrodes vibrates with piezoelectric actuator. The component of variation at impedance between two electrodes with vibration of electrode is analyzed at the corre...

We present a new method for the nonlinear approximation of the solution manifolds of parameterized nonlinear evolution problems, in particular in hyperbolic regimes with moving discontinuities. Given the action of a Lie group on the solution space, the original problem is reformulated as a partial differential algebraic equation system by decomposing the solution into a group component and a sp...

We discuss the generation of curvilinear composite overlapping grids and the numerical solution of partial differential equations on them. A composite overlapping grid consists of a set of curvilinear component grids that cover a region and overlap where they meet. Continuity conditions (interpolation) are imposed at the overlapping boundaries. The principal advantage of composite grids is in t...

solution may belong. We illustrate this by an example in the single unknown y. Let m F =y22 + I [(x + j)yl-y] j = 1 where m is any integer greater than unity. Now (x + j)yl-y has (x +J)Y2 as derivative and therefore has, for every j, a manifold which is a component of F. The solution y = 0 belongs to every such component. 1. Introduction.-By a topological abelian group T (t.a.g. T) we shall

Purified sphingosine was resolved into dihydrosphingosine, sphingosine, and a fast-moving component by thin-layer chromatography on Silica Gel G. The fast-moving component was generated by the adsorbent, and consisted of a mixture of the cationic forms of dihydrosphingosine and sphingosine. Other sphingosine derivatives gave rise to similar artifacts. Sphingosine formed two degradation products...

existence of acid humic in water resources is undesirable and causes carcinogenic component in disinfection process due to reaction with chlorine. due to their cost-effectiveness and higher physical resistance than activated carbon, natural zeloites are used for removing various pollutants. . in the present study, iranian natural zeolite modified with cetylpyridinium bromide (cpb) was investiga...

We give an exact solution for the complete distribution of component sizes in random networks with arbitrary degree distributions. The solution tells us the probability that a randomly chosen node belongs to a component of size s for any s . We apply our results to networks with the three most commonly studied degree distributions-Poisson, exponential, and power-law-as well as to the calculatio...