Determining the diffusion coefficient based on the solution of the linear inverse problem of the parameter estimation by using the Least-square method is presented. A set of temperature measurements at a single sensor location inside the heat conducting body is required. The corresponding direct problem will be solved by an application of the heat fundamental solution.

Resistive particle counting has been developed for the accurate sizing and counting of mitochondria in solution. The normal detection limit with a 30 micro aperture is 0.48 micro diameter, or 0.056 micro(3) particle volume The mean volume of rat liver mitochondria was 0.42 micro(3) or 0.93 micro in diameter. The average value for numbers of particles per milligram of mitochondrial protein was 4...

In this paper, we propose a new algorithm to solve the 7 parameters transformation problem. Using Gröbner bases techniques and solving polynomial systems, we find, in a direct manner and without the need of a linearization, the values of the translation, rotation and a scale factor. Then, with the aid of simulated data, we will confront the algorithm to all sorts of configurations. Finally, we ...

We provide a new proof of a recent theorem of Ben-Yaacov, Melleray, and Tsankov. If G is a Polish group and X is a minimal, metrizable G-flow with all orbits meager, then the universal minimal flow M(G) is non-metrizable. In particular, we show that given X as above, the universal highly proximal extension of X is non-metrizable.

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In this paper, the problem of a 1D elastic distributed system coupled with a moving linear oscillator, often referred to as the ‘‘moving oscillator’’ problem, is studied. The problem is formulated using a ‘‘relative displacement’’ model, which shows that, in the limiting case of infinite oscillator stiffness, the moving mass problem is recovered. The coupled equations of motion are recast into ...