Hans Graf von Berlepsch

A General Formula for the Algebraic Degree in Semidefinite Programming Hans-christian Graf Von Bothmer and Kristian Ranestad

In this note, we use a natural desingularization of the conormal variety of the variety of (n × n)-symmetric matrices of rank at most r to find a general formula for the algebraic degree in semidefinite programming. 1. The algebraic degree in semidefinite programming Let P be a general projective space of symmetric (n×n)−matrices up to scalar multiples, and let Yr ⊂ P m be the subvariety of mat...

M ay 2 00 3 SIGNIFICANCE OF LOG - PERIODIC SIGNATURES IN CUMULATIVE NOISE HANS - CHRISTIAN GRAF

Using methods introduced by Scargle we derive a cumulative version of the Lomb periodogram that exhibits frequency independent statistics when applied to cumulative noise. We show how this cumulative Lomb periodogram allows us to estimate the significance of log-periodic signatures in the S&P 500 anti-bubble that started in August 2000.

Statistical Analysis in Climate Research Hans von Storch Francis Zwiers

Climate is a complex system: it has many variables, and they are acting nonlinearly, in general. Therefore, no exact answers to questions should be expected, and many climatic processes are and will be poorly understood. That means that statistical analysis is undeniable in climate research. This single book provides climatologists}whether they work in modeling or in measuring, whether they are...

Hans Arnold Heilbronn 1908-1975 Hans

LAF/GrAF-grounded Representation of Dependency Structures

This paper shows that a LAF/GrAF-based annotation schema can be used for the adequate representation of syntactic dependency structures in many languages. We first argue that there are at least two types of textual units that can be annotated with dependency information: words/tokens and chunks/phrases. Based on this consideration, we discuss a sub-typing of GrAF to represent the corresponding ...