Nonrational Configurations, Polytopes, and Surfaces

Ziegler, Günter M.
June 2008
Mathematical Intelligencer;Summer2008, Vol. 30 Issue 3, p36
Academic Journal
The article offers information about the nonrational configurations, polytopes, and surfaces. Configurations are combinatorial incidence configurations that may be geometrized with real. On the other hand, polytopes, is a two-dimensional point configuration consisting of n points. Moreover, surfaces, is the surface that being get from a 3 x 3 square by identifying the points on opposite edges.


Related Articles

  • The spatial mismatch effect is based on global configuration and not on perceptual records within the visual cache. Zimmer, Hubert D.; Lehnert, G�nther // Psychological Research;Jan2006, Vol. 70 Issue 1, p1 

    If configurations of objects are presented in a S1�S2 matching task for the identity of objects a spatial mismatch effect occurs. Changing the (irrelevant) spatial layout lengthens response times. We investigated what causes this effect. We observed a reliable mismatch effect that was not...

  • POISSON SUPERPOSITION PROCESSES. CRANE, HARRY; MCCULLAGH, PETER // Journal of Applied Probability;Dec2015, Vol. 52 Issue 4, p1013 

    Superposition is a mapping on point configurations that sends the n-tuple (x1,...,xn) ∊ χn into the n-point configuration {x1,...,xn) ⊂ 967;, counted with multiplicity. It is an additive set operation such that the superposition of a Upoint configuration in 967;n is a kn-point...

  • SINGLE- OR TWO-STAGE COMPRESSION. Jekel, Todd B.; Reindl, Douglas T. // ASHRAE Journal;Aug2008, Vol. 50 Issue 8, p46 

    The article focuses on the evaluation of the energy-efficiency characteristics of single and two-stage compression system. The researchers involved three systems of configurations in the efficiency comparison including the single-stage compression system with no loads present at the intermediate...

  • Constructing Highly Incident Configurations. Berman, Leah // Discrete & Computational Geometry;Oct2011, Vol. 46 Issue 3, p447 

    A geometric ( q, k)-configuration is a collection of points and straight lines in the Euclidean plane in which each point lies on q lines and each line passes through k points. We say a ( q, k)-configuration is highly incident when one (or both) of q or k is strictly greater than 4. In this...

  • PREDICTION OF CAVERN CONFIGURATIONS FROM SUBSIDENCE DATA. Fuenkajorn, Kittitep; Archeeploha, Sarayuth // Suranaree Journal of Science & Technology;Apr-Jun2009, Vol. 16 Issue 2, p127 

    An analytical method has been developed to predict the location, depth and size of caverns created at the interface between salt and overlying formations. A governing hyperbolic equation is used in a statistical analysis of the ground survey data to determine the cavern location, maximum...

  • LOW-HANGING FRUIT IN THE DATA CENTER ORCHARD. DICKENS, KEVIN // Engineered Systems;Aug2011, Vol. 28 Issue 8, p38 

    The article offers the author's insights on the low-technology strategies in designing a legacy data center. The author says that a typical legacy data center incorporates IT cabinets in a hot aisle/cold aisle configuration, a raised access floor used as a supply plenum, and a traditional...

  • Multiple-Subarc Gradient-Restoration Algorithm, Part 2: Application to a Multistage Launch Vehicle Design. Miele, A.; Wang, T. // Journal of Optimization Theory & Applications;Jan2003, Vol. 116 Issue 1, p19 

    In Part 1 (see Ref. 2), a multiple-subarc gradient-restoration algorithm (MSGRA) was developed with the intent of enhancing the robustness of gradient-restoration algorithms and also enlarging the field of applications. Indeed, MSGRA can be applied to optimal control problems involving multiple...

  • The challenge of change.  // Process & Control Engineering (PACE);Apr2005, Vol. 58 Issue 3, p30 

    Reports on the challenge of industrial automation engineers on the change for the management and regulation of automation device configuration code. Identification on the types of popular device configuration code; Advantage on the efficacy of the device configuration system with the manual...

  • Massively parallel aligned microfibers-based harvester deposited via in situ, oriented poled near-field electrospinning. Fuh, Yiin-Kuen; Chen, Shao-Yu; Ye, Jia-Cheng // Applied Physics Letters;7/15/2013, Vol. 103 Issue 3, p033114 

    In this study, we demonstrate a direct-write, in situ poled polyvinylidene fluoride power generator via near-field electrospinning and fully encapsulated on a flexible substrate. An unique polarity alignment and a total of 500 microfibers continuously deposited in parallel and serial...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics