The multivariate N-Component resolution problem with minimum assumptions

The present state of the minimum assumption multivariate component resolution theory is outlined. Some new developments are presented: limiting function domains; the analytical expression for the limiting function; efficient algorithms for defining the FIRPOL and INNPOL hyperpolyhedrons. A very low resolution data set is analyzed.     

Study of 169Hf at high rotational frequency

High-spin properties of the nucleus ¹⁶⁹Hf have been studied through the fusion evaporation reaction ⁹⁶Zr(⁷⁶Ge,3n)¹⁶⁹Hf at a beam energy of 310 MeV. The known rotational bands have been extended considerably and 6 new bands have been established, four of which form coupled bands with pronounced M1 connections. Quasiparticle assignments are suggested for the new band structures, and it appears that coupling to vibrational degrees of freedom plays a role. Both coupled bands involve the excitation of quasiprotons. In the region of highest spin, a large alignment gain is interpreted in terms of a mixed crossing where an h _9/2 and an h _11/2 quasiproton provide the two signatures of the aligning configuration. Received: 23 March 2001 / Accepted: 20 September 2001     

Ein Apparat für die Dispersoidanalyse und einige Untersuchungen damit

Zusammenfassung Es wird die Einrichtung und Anwendung eines Apparates zu Feinheitsbestimmung nach der Pipettemethode beschrieben, der es erm?glicht, fortgesetzt Proben zu entnehmen, ohne da? die Aufschl?mmung nach jeder Probeentnahme neu homogenisiert werden mu?. Der Apparat ist ausgearbeitet auf der Grundlage eines von dem Verfasser früher angegebenen Apparattyps [Kolloidchem. Beih.27, 404 (1928)]. Die Zuverl?ssigkeit des Apparates wird n?her untersucht durch Anwendung eines auf der Flintkugelmühle vermahlenen kalzinierten, d?nischen Kugelflints. Weiterhin wird mit dem Apparat eine Untersuchung überTuorila's Kriterium für die orthokinetische Koagulation ausgeführt. Mit dem Apparat werden Feinheitsbestimmungen einiger gangbarer technischer Produkte (Kaolin, Blanc fixe, Portlandzement) vorgenommen.     

Using the Donsker Delta Function to Compute Hedging Strategies

We use white noise calculus and the Donsker Delta Function to find explicit formulas for the replicating portfolios in a Black–Scholes market for a class of contingent T-claims.     

Topology optimization of microfluidic mixers

This paper demonstrates the application of the topology optimization method as a general and systematic approach for microfluidic mixer design. The mixing process is modeled as convection dominated transport in low Reynolds number incompressible flow. The mixer performance is maximized by altering the layout of flow/non‐flow regions subject to a constraint on the pressure drop between inlet and outlet. For a square cross‐sectioned pipe the mixing is increased by 70% compared with a straight pipe at the cost of a 2.5 fold increase in pressure drop. Another example where only the bottom profile of the channel is a design domain results in intricate herring bone patterns that confirm findings from the literature. Copyright © 2008 John Wiley & Sons, Ltd.     

L^2-properties of the \overline{\partial } and the \overline{\partial }-Neumann operator on spaces with isolated singularities

Let \(X\) be a Hermitian complex space of pure dimension with only isolated singularities and \(\pi : M\rightarrow X\) a resolution of singularities. Let \(\Omega \subset \subset X\) be a domain with no singularities in the boundary, \(\Omega ^*=\Omega {\setminus }\!{{\mathrm{Sing}}}X\) and \(\Omega '=\pi ^{-1}(\Omega )\) . We relate \(L^2\) -properties of the \(\overline{\partial }\) and the \(\overline{\partial }\) -Neumann operator on \(\Omega ^*\) to properties of the corresponding operators on \(\Omega '\) (where the situation is classically well understood). Outside some middle degrees, there are compact solution operators for the \(\overline{\partial }\) -equation on \(\Omega ^*\) exactly if there are such operators on the resolution \(\Omega '\) , and the \(\overline{\partial }\) -Neumann operator is compact on \(\Omega ^*\) exactly if it is compact on \(\Omega '\) .