An intercomparison of rotational loss measurements in non-oriented Fe–Si alloys

We report a comparison of rotational energy loss measurements in the same non-oriented Fe–Si laminations carried out by two laboratories Istituto Nazionale di Ricerca Metrologica (INRiM) in Torino, Italy and Wolfson Centre for Magnetics (WCM) in Cardiff, United Kingdom. The measurements were performed on disk samples at magnetizing frequencies between 5 and 200 Hz with controlled circular flux density loci ranging between 0.2 and 1.9 T. Energy loss was measured applying both the fieldmetric and the rate-of-rise of temperature methods. The latter, exploiting the rate of rise of temperature under quasi-adiabatic conditions, is conveniently adopted on approaching magnetic saturation. Results from the two laboratories agree well up to 1.4 T, despite the different physical principles of the fieldmetric vs. rate-of-rise of temperature methods and the different size of sample and measuring areas. The rate-of-rise of temperature method seems to be the natural approach at high induction values.     

A combined computational and experimental approach for the analysis of the enantioselective potential of a new macrocyclic receptor for N-protected alpha-amino acids

A new macrocyclic receptor incorporating a thiourea moiety has been synthesised. Crystal structures of the macrocycle showed that the receptor has a rigid backbone but the thiourea moiety can orientate itself to bind to a DMSO solvent molecule. Force-field (MMFFs) calculations were performed to model the macrocycle and its binding properties with respect to N-protected amino acids, which were measured experimentally by NMR titration. Binding free energies were calculated by using the mode integration algorithm (MINTA) or free-energy perturbation (FEP). Excellent qualitative agreement with experiment was obtained. To further exploit the accuracy of the free-energy predictions for this system, the faster free-energy algorithm MINTA was used as a prediction tool to test the binding affinity of the macrocycle towards a series of several other amino acid derivatives, which speeded up considerably the screening process and reduced laboratory costs.     

A note on regularity criteria in terms of pressure for the 3D viscous MHD equations

The notions of almost ω-categoricity and 1-local ω-categoricity are studied. In particular, necessary and sufficient conditions for their equivalence under additional assumptions are found. It is proved that 1-local ω-categorical theories on dense linear orders are Ehrenfeucht and that Ehrenfeucht quite o-minimal binary theories are almost ω-categorical.     

Magnetic losses at high flux densities in nonoriented Fe–Si alloys

We present and discuss power loss measurements performed in Fe–(3.5 wt%)Si nonoriented laminations up to very high flux densities. The results are obtained on disk samples using a 1D/2D single-sheet tester, where the fieldmetric and the thermometric methods are applied upon overlapping polarization ranges. The power loss in the highest polarization regimes (e.g. J_p>1.8 T) is measured, in particular, by the rate of rise of temperature method, both under controlled and uncontrolled flux density waveform, the latter case emulating the conditions met in practical unsophisticated experiments. Lack of control at such extreme J_p levels is conducive to strong flux distortion, but the correspondingly measured loss figure can eventually be converted to the one pertaining to sinusoidal induction at the same J_p values. This is demonstrated as a specific application of the statistical theory of magnetic losses, where the usual formulation for the energy losses in magnetic sheets under distorted induction is exploited in reverse fashion.     

On Lagrange duality theory for dynamics vaccination games

The authors study an infinite dimensional duality theory finalized to obtain the existence of a strong duality between a convex optimization problem connected with the management of vaccinations and its Lagrange dual. Specifically, the authors show the solvability of a dual problem using as basic tool an hypothesis known as Assumption S. Roughly speaking, it requires to show that a particular limit is nonnegative. This technique improves the previous strong duality results that need the nonemptyness of the interior of the convex ordering cone. The authors use the duality theory to analyze the dynamic vaccination game in order to obtain the existence of the Lagrange multipliers related to the problem and to better comprehend the meaning of the problem.

     

Characterization of the Graded Betti Numbers for Almost Complete Intersections

Using standard mapping cone procedure of the inclusion map of an ideal generated by a suitable regular sequence inside a Gorenstein ideal and by a deep analysis of possible cancellations, we give a numerical characterization of the graded Betti sequences admissible for almost complete intersections of height three.