Analytic functionals annihilated by ideals

Let V be a n-dimensional Stein manifold, I be a closed ideal of holomorphic functions on V. It was proved by Roger Gay that, given an analytic functional T such that hT=0 (as a functional) for any h∈I, one can find some (n, n)_compactly supported current , such that for any ϕ ∈Iɛ ^0,0(V) and T(h)= for any h analytic on V. In this paper, we give some explicit construction of Ť in terms of residual currents when I is defined as a complete intersection or is locally Cohen-Macaulay. Moreover, by means of integral representation formulas of the Andersson-Berndtsson-Passare type, we also study the non complete intersection case in order to represent analytic functionals orthogonal to the ideal in terms of currents annihilated (as currents) by some power (less than n) of the local integral closure ofIɛ^0,0.     

Numerical studies of blood flow in healthy,stenosed, and stented carotid arteries

Numerical analysis of pulsatile blood flow in healthy, stenosed, and stented carotid arteries is performed with the aim of identifying hemodynamic factors in the initiation, growth, and the potential of leading to severe occlusions of a diseased artery. The Immersed Finite Element Method is adopted for this study to conveniently incorporate various geometrical shapes of arteries without remeshing. Our computational results provide detailed quantitative analysis on the blood flow pattern, wall shear stress, particle residence time, and oscillatory shear index. The analysis of these parameters leads to a better understanding of blood clot formation and its localization in a stenosed and a stented carotid artery. A healthy artery is also studied to establish a baseline comparison. This analysis will assist in developing treatments for diseased arteries and novel stent designs to reduce restenosis. Copyright © 2008 John Wiley & Sons, Ltd.     

Inwardly curved polymer brushes: concave is not like convex

The European Physical Journal E - Inwardly curved polymer brushes are present in cylindrical and spherical micelles or in membranes tubes and vesicles decorated with anchored polymers, and...     

Experiment to measure the Lamb shift in muonic hydrogen

The contribution of the root mean square (RMS) proton charge radius to the Lamb shift (2S–2P energy difference) in muonic hydrogen (μp) amounts to 2%. Apart from the uncertainty on this charge radius, theory predicts the Lamb shift with a precision on the ppm level. We are going to measure ΔE (2 S_1/2(F=1)–2 P_3/2(F=2)) in a laser resonance experiment to a precision of 30 ppm (i.e., 10% of the natural linewidth) and to deduce the RMS proton charge radius with 10⁻³ relative accuracy, 20 times more precise than presently known. The most important requirement for the feasibility of such an experiment, namely the availability of a sufficient amount of long lived metastable μp atoms in the 2S state, has been investigated in a recent experiment at PSI. Our analysis shows that in the order of one percent of all muons stopped in low pressure hydrogen gas form a long lived μp(2S) with a lifetime of the order of 1 μs. The technical realization of our experiment involves a new high intensity low energy muon beam, an efficient low energy muon entrance detector, a randomly triggered 3 stage laser system providing the 0.5 mJ, 7 ns laser pulses at 6.02 μm wavelength, and a combination of a xenon gas proportional scintillation chamber (GPSC) and a microstrip gas chamber (MSGC) with a CsI coated surface to detect the 2 keV X rays from theμp(2P → 1S) transition. This revised version was published online in August 2006 with corrections to the Cover Date.     

The Effect of Water Chemistry on the Bioaccumulation of Cadmium byMenidia beryllina(Cope), the Tidewater Silverside. Part 1: A Simple and Rapid Method for the Digestion of Fish

The use of a nitric acid solution and a 30% solution of hydrogen peroxide with a microwave digestion method was shown to give cadmium recoveries in the range 95–107% when digesting fish. Accuracy was established using National Institute of Science & Technology standard reference oyster tissue and was found to be satisfactory.     

Mathematical bases of ancient Egyptian architecture and graphic art

In ancient Egyptian buildings, such as pyramids and pylons with inclined walls, the inclination was contrived to give a horizontal displacement measured in palms, half-palms or quarter-palms for a drop of one royal cubit of seven palms. The inclination of the edges between adjacent walls was not relevant to the design. Evidence is presented suggesting that in two-dimensional art the obliquity of slanting lines may have been determined by a similar system, but with a drop of six units instead of seven. After the introduction of the squared grid, obliquity was probably controlled by reference to grid intersections. There is no valid reason for supposing that the irrational numbers π and φ were implicated, except coincidentally, in the inclination of pyramids or in the obliquity of slanting lines.