We present an algorithm to compute bases for the spaces L(G) and Ω(G), provided G is a rational divisor over a non-singular absolutely irreducible algebraic curve, and also another algorithm to compute the Weierstrass semigroup at P together with functions for each value in this semigroup, provided P is a rational branch of a singular plane model for the curve. The method is founded on the Bril...

Let R be a two-dimensional regular local ring with maximal ideal m, and let ℘ be a simple complete m-primary ideal which is residually rational. Let R0 := R $ R1 $ · · · $ Rr be the quadratic sequence associated to ℘, let Γ℘ be the value-semigroup associated to ℘, and let (ej(℘))0≤j≤r be the multiplicity sequence of ℘. We associate to ℘ a sequence (γi(℘))0≤i≤g of natural integers which we call ...

In this paper, I propose a technique for recovering quantum dynamical information from imaginary-time data via the resolution of a one-dimensional Hamburger moment problem. It is shown that the quantum autocorrelation functions are uniquely determined by and can be reconstructed from their sequence of derivatives at origin. A general class of reconstruction algorithms is then identified, accord...

In this paper, we consider some practical applications of the symbolic Hamburger-Noether expressions for plane curves, which are introduced as a symbolic version of the so-called Hamburger-Noether expansions. More precisely, we give and develop in symbolic terms algorithms to compute the resolution tree of a plane curve (and the adjunction divisor, in particular), rational parametrizations for ...

In the last decade, crowdsourcing has emerged as a new form of work organization. Crowdworking platforms as intermediaries between crowdsourcing companies and crowd workers have gained importance in this process. Currently, many of these platforms manage rather simple work systems. Using the case of the German Hamburger Hochbahn AG and the innovation platform Phantominds, this paper investigate...

Philip Egetenmeier, Zwischen zwei Welten. Die Königsfreunde im Dialog zwischen Städten und Monarchen vom Jahr der Könige bis zum Frieden von Apameia (306–188 v. Chr.), (Hamburger Studien zu Gesellschaften Kulturen Vormoderne – 13), Franz Steiner Verlag, Stuttgart 2021, 326 pp.; ISBN 978-3-515-12996-1