Treffer: Volumes of low-dimensional slabs and sections in the cube
Title:
Volumes of low-dimensional slabs and sections in the cube
Authors:
Source:
Advances in applied mathematics (Print). 47(4):894-907
Publisher Information:
San Diego, CA: Elsevier, 2011.
Publication Year:
2011
Physical Description:
print, 5 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Calcul des variations et contrôle optimal, Calculus of variations and optimal control, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Méthodes numériques en programmation mathématique, optimisation et calcul variationnel, Numerical methods in mathematical programming, optimization and calculus of variations, Optimisation et calcul variationnel numériques, Numerical methods in optimization and calculus of variations, Généralités, histoire et biographie, General, history and biography, Mathématiques générales, General mathematics, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, 49R50, 65K10, 65Kxx, Point selle, 52A38, 52A40, Sections, Slabs, Volume, n-Cube
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Mathematisches Seminar, Universität zu Kiel, 24098 Kiel, Germany
Department of Mathematics, University of Missouri, Columbia, MO 65211, United States
Department of Mathematics, University of Missouri, Columbia, MO 65211, United States
ISSN:
0196-8858
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.24591648
Database:
PASCAL Archive
Weitere Informationen
We study the volume of slabs in the 2- and 3-dimensional cube as a function of the width and the defining direction. The variational method yields that there exist surprisingly many local extrema and saddle points of the volume of the slabs. We give several general formula for the volume of sections and slabs of the n-cube.