This work settles the problem for d=5 and d=6. More precisely, a computer search implies that 4 hyperplanes do not suffice for this purpose (but 5 do).

We also develop computational approaches for attacking this extremal problem from combinatorial geometry in higher dimensions. They allow us to determine for example all maximal sliceable subsets of hypercube edges up to dimension 7.}, author = {Ziegler, Martin and Sohler, Christian}, booktitle = {Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG'00)}, pages = {73--79}, title = {{Computing Cut Numbers}}, year = {2000}, } @misc{18345, author = {Peckhaus, Volker}, booktitle = {Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 935.03008]}, title = {{Boolos, George; Heck, Richard G. jun., “Die Grundlagen der Arithmetik, §§ 82–3”, in: Matthias Schirn (Hg.), The Philosophy of Mathematics Today. Papers from a Conference, Munich, Germany, June 28–July 4, 1993, Clarendon Press: Oxford 1998, 407–428}}, year = {2000}, } @misc{18338, author = {Peckhaus, Volker}, booktitle = {Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 927.68015]}, title = {{Arsac, Jacques, «Les langages de programmation: une moderne Babel», C.R. Académie des Sciences (Paris). La vie des Sciences 13, Nr. 1 (1996), 25–37}}, year = {2000}, } @misc{18340, author = {Peckhaus, Volker}, booktitle = {Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 933.03002]}, title = {{Landini, Gregory, Russell’s Hidden Substitutional Theory, Oxford University Press: Oxford 1998}}, year = {2000}, } @misc{18357, author = {Peckhaus, Volker}, booktitle = {Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 942.030029]}, title = {{Mancosu, Paolo, “Between Russell and Hilbert: Behmann on the Foundations of Mathematics”, Bulletin of Symbolic Logic 5 (1999), 303–330}}, year = {2000}, } @article{18446, author = {Lorys, Krzysztof and Wanka, Rolf and Oesterdiekhoff, Brigitte and Kutylowski, Miroslaw}, journal = {Journal of the ACM}, pages = {944--967}, title = {{Periodification Scheme: Constructing Sorting Networks with Constant Period}}, volume = {45}, year = {2000}, } @article{18617, abstract = {The decay properties of the one-particle Green function in real space and imaginary time are systematically studied for solids. I present an analytic solution for the homogeneous electron gas at finite and at zero temperature as well as asymptotic formulas for real metals and insulators that allow an analytic treatment in electronic-structure calculations based on a space-time representation. The generic dependence of the decay constants on known system parameters is used to compare the scaling of reciprocal-space algorithms for the GW approximation and the space-time method.}, author = {Schindlmayr, Arno}, issn = {1095-3795}, journal = {Physical Review B}, number = {19}, pages = {12573--12576}, publisher = {American Physical Society}, title = {{Decay properties of the one-particle Green function in real space and imaginary time}}, doi = {10.1103/PhysRevB.62.12573}, volume = {62}, year = {2000}, } @inbook{19196, author = {Seng, Eva- Maria}, booktitle = {Bau + Kunst, Festschrift zum 65. Geburtstag von Jürgen Paul}, editor = {Lupfer, Gilbert and Rudert, Konstanze and Sigel, Paul}, pages = {296--309}, title = {{Architektur und Ausstattung von Schloß Augustusburg als politisches Vermächtnis eines “Guten Regiments” und “Guter Ordnung”}}, year = {2000}, } @inbook{19398, author = {Eke, Norbert Otto}, booktitle = {Heiner Müller: Probleme und Perspektiven. Bath-Symposion 1998}, editor = {Wallace, Ian and Tate, Dennis and Labroisse, Gerd}, pages = {69--88}, title = {{Körper-Schrift. Heiner Müllers Anthropologie des Körpers}}, volume = {48}, year = {2000}, } @inbook{19401, author = {Eke, Norbert Otto}, booktitle = {Willibald Alexis (1798-1871). Ein Autor des Vor- und Nachmärz}, editor = {Beutin, Wolfgang and Stein, Peter}, pages = {55--80}, publisher = {Aisthesis}, title = {{Der Kritiker in der Kritik. Willibald Alexis, das Junge Deutschland und Alexis' autobiographische Fragmente Erinnerungen aus meinem Leben}}, year = {2000}, } @article{19709, author = {Büker, Petra}, journal = {Praxis Deutsch }, pages = {31--36}, title = {{Das Fremde spüren - dem Anderen begegnen. Elisabeth Reuter: Soham. Eine Geschichte vom Fremdsein}}, volume = {27, H. 162}, year = {2000}, } @article{2143, author = {Adler, Micah and Scheideler, Christian}, journal = {Theory Comput. Syst.}, number = {5/6}, pages = {337----391}, title = {{Efficient Communication Strategies for Ad Hoc Wireless Networks}}, doi = {10.1007/s002240010006}, volume = {33}, year = {2000}, } @inproceedings{2150, author = {Czumaj, Artur and Scheideler, Christian}, booktitle = {STOC}, pages = {38----47}, publisher = {ACM}, title = {{A new algorithm approach to the general Lovász local lemma with applications to scheduling and satisfiability problems (extended abstract)}}, year = {2000}, } @article{2148, author = {Czumaj, Artur and Scheideler, Christian}, journal = {Random Struct. Algorithms}, number = {3-4}, pages = {213----237}, title = {{Coloring nonuniform hypergraphs: A new algorithmic approach to the general Lovász local lemma}}, volume = {17}, year = {2000}, }