Highly porous ceramic materials with open porosity are perspective for manufacture of the biosensors. Those used as a framework and allows to inject necessary functional components into internal volume. Electroconductive highly ceramics on base La 1-x Ca x MnO 3 variable composition have acceptable hardness relatively low sintering temperature (about 1450°C). In recent work samples (x=0.3, 0.5 ...

The solution set of a system of polynomial equations, called an algebraic set, can be decomposed into finitely many irreducible components. In numerical algebraic geometry, irreducible algebraic sets are represented by witness sets, whereas general algebraic sets allow a numerical irreducible decomposition comprising a collection of witness sets, one for each irreducible component. We denote th...

Ñ Anticoking Coatings for High Temperature Petrochemical Reactors Ñ Coke deposition is a major problem for several refinery and petrochemical processes, among which steam cracking for ethylene production. Decreasing coking rates will reduce decoking frequency and will also decrease heat transfer degradation. For these processes, a means of reducing coking phenomena is the application of anticok...

It is shown that signal energy is the only available degree-of-freedom (DOF) for fiber-optic transmission as the input power tends to infinity. With n signal DOFs at the input, n ́ 1 DOFs are asymptotically lost to signal-noise interactions. The main observation is that, nonlinearity introduces a multiplicative noise in the channel, similar to fading in wireless channels. The channel is viewed i...

Enterprises and researchers often have datasets that can be represented as graphs (e.g. social networks). The owner of a large graph may want to scale it down to a smaller version, e.g. for application development. On the other hand, the owner of a small graph may want to scale it up to a larger version, e.g. to test system scalability. This paper investigates the Graph Scaling Problem (GSP): G...

Pickup of several molecules, H(2)O, HBr, and CH(3)OH, and Ar atoms on free Ar(N) clusters has been investigated in a molecular beam experiment. The pickup cross sections of the clusters with known mean sizes, Ñ≈ 150 and 260 were measured by two independent methods: (i) the cluster beam velocity decrease due to the momentum transfer of the picked up molecules to the clusters, and (ii) Poisson di...

In the simultaneous Max-Cut problem, we are given k weighted graphs on the same set of n vertices, and the goal is to find a cut of the vertex set so that the minimum, over the k graphs, of the cut value is as large as possible. Previous work [BKS15] gave a polynomial time algorithm which achieved an approximation factor of 1{2 ́ op1q for this problem (and an approximation factor of 1{2 ` εk in...

We study a random particle method for solving the reaction-diffusion equation U( = uuxx+f(u) which is a one-dimensional analogue of the random vortex method. It is a fractional step method in which m = vuxx is solved by random walking the particles while ut = f(u) is solved with a numerical ordinary differential equation solver such as Euler's method. We prove that the method converges when f(u...