Confirmation of Matheron's conjecture on the covariogram of a planar convex body
Gennadiy Averkov, Gabriele Bianchi (2009)
Journal of the European Mathematical Society
G. Opfer (1980)
Numerische Mathematik
Bobenko, Alexander I., Hoffmann, Tim (2001)
Experimental Mathematics
K. Keimel (1971)
Semigroup forum
Emo Welzl, H. Alt, Kurt Mehlhorn, Hubert Wagener (1988)
Discrete & computational geometry
L.D. Loveland, J.E. Valentine (1973)
Journal für die reine und angewandte Mathematik
Nurmela, Kari J. (2000)
Experimental Mathematics
Jaume, Daniel A., Puente, Rubén (2005)
Beiträge zur Algebra und Geometrie
Mihai Turinici (1982)
Commentationes Mathematicae Universitatis Carolinae
Mircea Balaj (2006)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
In this paper, we establish two constant selection theorems for a map whose dual is upper or lower semicontinuous. As applications, matching theorems, analytic alternatives, and minimax inequalities are obtained.
Nadya Lyaskovska (2007)
Acta Universitatis Carolinae. Mathematica et Physica
Alain Faye, Olivier Boyer (2003)
RAIRO - Operations Research - Recherche Opérationnelle
Alain Faye, Olivier Boyer (2010)
RAIRO - Operations Research
Nous construisons des familles de facettes du polytope du sac-à-dos quadratique en 0-1 selon les deux approches suivantes. Le Boolean quadric polytope (introduit dans le cas sans contraintes par Padberg [12]) contenant le polytope du sac-à-dos quadratique, une première approche consiste à se demander sous quelles conditions une facette du premier est aussi une facette du second et quand ces conditions ne sont pas remplies quels liftings permettent d'en faire une facette. Des réponses à ces questions...
Gnewuch, Michael (2008)
The Electronic Journal of Combinatorics [electronic only]
Gévay, Gábor (2003)
Beiträge zur Algebra und Geometrie
Schwartz, Alexander, Ziegler, Günter M. (2004)
Experimental Mathematics
Ernest Jucovič, Sergej Ševec, Marián Trenkler (1997)
Mathematica Slovaca
Martin Kochol (1994)
Mathematica Slovaca
Ana Forte Cunto (1991)
Publicacions Matemàtiques
G. Beer defined the visibility function of a set S and proved its continuity in the interior of S. It is proved here that the visibility function of a planar Jordan domain is continuous precisely at the cone points of the boundary of S.
Victor Klee, David Gale (1959)
Mathematica Scandinavica