TY - GEN
AU - Peckhaus, Volker
ID - 18383
T2 - Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 957.03004]
TI - Hintze, Henning, Nominalismus. Primat der ersten Substanz versus Ontologie der Prädikation, Alber Verlag: Freiburg/München 1998
ER -
TY - GEN
AU - Peckhaus, Volker
ID - 18388
T2 - Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 961.03003]
TI - Janssen, Theo M.V., “Frege, Contextuality and Compositionality”, Journal of Logic, Language and Information 10, No. 1 (2001), 115–136
ER -
TY - GEN
AU - Peckhaus, Volker
ID - 18376
T2 - Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 949.01033]
TI - Heintz, Bettina, Die Innenwelt der Mathematik. Zur Kultur und Praxis einer beweisenden Disziplin, Springer: Wien 2000
ER -
TY - GEN
AU - Peckhaus, Volker
ID - 18395
T2 - Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 0972.01011]
TI - Spade, Paul Vincent (Hg.), The Cambridge Companion to Ockham, Cambridge University Press: Cambridge 1999
ER -
TY - JOUR
AB - There is increasing interest in many-body perturbation theory as a practical tool for the calculation of ground-state properties. As a consequence, unambiguous sum rules such as the conservation of particle number under the influence of the Coulomb interaction have acquired an importance that did not exist for calculations of excited-state properties. In this paper we obtain a rigorous, simple relation whose fulfilment guarantees particle-number conservation in a given diagrammatic self-energy approximation. Hedin’s G0W0 approximation does not satisfy this relation and hence violates the particle-number sum rule. Very precise calculations for the homogeneous electron gas and a model inhomogeneous electron system allow the extent of the nonconservation to be estimated.
AU - Schindlmayr, Arno
AU - García-González, Pablo
AU - Godby, Rex William
ID - 18612
IS - 23
JF - Physical Review B
SN - 0163-1829
TI - Diagrammatic self-energy approximations and the total particle number
VL - 64
ER -
TY - JOUR
AU - Czumaj, Artur
AU - Sohler, Christian
ID - 18749
JF - Proceedings of the 28th International Colloquium on Automata, Languages and Programming (ICALP)
SN - 0302-9743
TI - Testing Hypergraph Coloring
ER -
TY - JOUR
AB - This paper investigates geometric problems in the context of property testing algorithms. Property testing is an emerging area in computer science in which one is aiming at verifying whether a given object has a predetermined property or is “far” from any object having the property. Although there has been some research previously done in testing geometric properties, prior works have been mostly dealing with the study of combinatorial notion of the distance defining whether an object is “far” or it is “close”; very little research has been done for geometric notion of distance measures, that is, distance measures that are based on the geometry underlying input objects.
The main objective of this work is to develop sound models to study geometric problems in the context of property testing. Comparing to the previous work in property testing, there are two novel aspects developed in this paper: geometric measures of being close to an object having the predetermined property, and the use of geometric data structures as basic primitives to design the testers. We believe that the second aspect is of special importance in the context of property testing and that the use of specialized data structures as basic primitives in the testers can be applied to other important problems in this area.
We shall discuss a number of models that in our opinion fit best geometric problems and apply them to study geometric properties for three very fundamental and representative problems in the area: testing convex position, testing map labeling, and testing clusterability.
AU - Sohler, Christian
AU - Czumaj, Artur
ID - 18857
JF - Proceedings of the 9th Annual European Symposium on Algorithms (ESA`01)
TI - Property Testing with Geometric Queries
ER -
TY - BOOK
AU - Eke, Norbert Otto
ID - 19110
TI - Thomas Valentin: Der Hausfreund. Dramen (Edition)
VL - 8
ER -
TY - CHAP
AU - Seng, Eva- Maria
ED - Lächele, Rainer
ID - 19184
T2 - Das Echo Halles
TI - Christianopolis. Der utopische Architekturentwurf des Johann Valentin Andreae
ER -
TY - CHAP
AU - Eke, Norbert Otto
ED - Kopp, Detlev
ED - Vogt, Michael
ID - 19367
T2 - Grabbes Welttheater. Christian Dietrich Grabbe zum 200. Geburtstag
TI - „Alle Ehre deiner Narbe.“ Die Spur des Körpers im Werk Grabbes
ER -