We propose a novel mesh refinement scheme based on signal processing for boundary integral simulations of inviscid droplet dynamics with axial symmetry. A key idea is to directly access the Fourier coefficients principal curvature as function arclength through natural change variables. The trapezoidal rule applied those Fourier-type integrals and resulting formula fits in framework non-uniform ...

The title compounds were obtained by deprotonation of 1,2,4-tri-hydroxy-anthra-quinone (purpurin) using sodium hydride followed by reaction with either 1-bromo-propane or 1-bromo-butane. 1,4-Dihy-droxy-2-propoxyanthra-quinone crystallizes as a 1:1 solvate from aceto-nitrile, C17H14O5·CH3CN. The anthra-quinone core of the mol-ecule is essentially planar and both hy-droxy groups participate in in...

In this investigation, MoSx/Cr coatings were deposited by direct-current magnetron sputter onto Ck45 (AISI 1045) plain carbon steel substrates. The MoSx/Cr ratio in the coatings was controlled by sputtering the composite targets. The chemical characterization was performed using EDX (energy dispersive X-ray analysis); the structural characterization was accomplished by X-ray diffraction (XRD) s...

\ X / coming up next month in the YY U.S. it'seems a good rime ro discuss the mathematics of voting, not least because there are a variety of mathematically determined paradoxes and anomalies that are particuiariy pertinent to this presidential contest. The way these contradictions touch on plurality voting and the proceedings of the electoral coliege will be deait with here, as wiii the relati...

As batteries become more powerful and utilized in diverse applications, thermal management becomes one of the central problems in their application. We report the results on thermal properties of a set of different Li-ion battery electrodes enhanced with multiwalled carbon nanotubes. Our measurements reveal that the highest in-plane and cross-plane thermal conductivities achieved in the carbon-...

Monitoring large computer networks often involves aggregation of various sorts of data that are distributed across network components. Finding extreme values, counting discrete observations or computing an average or a sum of some parameter values are typical examples of such “background” activities that provide input to monitoring systems. Another aspect of network management is fast and relia...

In 1982 Pimsner and Voiculescu computed the K0and K1-groups of the reduced group C∗-algebra C∗ red(Fk) of the free group Fk on k generators and settled thereby a long standing conjecture: C∗ red(Fk) has no projections except for the trivial projections 0 and 1. Later simpler proofs of this conjecture were found by methods from K-theory or from non-commutative differential geometry. In this pape...