Finite and Uniform Stability of Sphere Coverings.
K. Bezdek, A. Bezdek, R. Connelly (1995)
Discrete & computational geometry
Dinesh B. Ekanayake, Douglas J. LaFountain, Boris Petracovici (2023)
Applications of Mathematics
The problem of utilizing facet reflections to bring a point outside of a convex polytope to inside has not been studied explicitly in the literature. Here we introduce two algorithms that complete the task in finite iterations. The first algorithm generates multiple solutions on the plane, and can be readily utilized in creating games on a plane or as a level generation method for video games. The second algorithm is a new efficient way to bring infeasible starting points of an optimization problem...
Fejes G. Tóth (1987)
Discrete & computational geometry
J.M. Wills, Fejes G. Tóth, P. Gritzmann (1989)
Discrete & computational geometry
Böröczky, K.jun., Wills, J.M. (1997)
Beiträge zur Algebra und Geometrie
P. Mankiewicz (1984)
Studia Mathematica
David A. Mazziotti (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
The ground-state energy and properties of any many-electron atom or molecule may be rigorously computed by variationally computing the two-electron reduced density matrix rather than the many-electron wavefunction. While early attempts fifty years ago to compute the ground-state 2-RDM directly were stymied because the 2-RDM must be constrained to represent an N-electron wavefunction, recent advances in theory and optimization have made direct computation of the 2-RDM possible. The constraints in...
Saveliev, Peter (2000)
International Journal of Mathematics and Mathematical Sciences
Billy E. Rhoades, Kanhaya Lal Singh, J. H. M. Whitfield (1982)
Commentationes Mathematicae Universitatis Carolinae
Park, Sehie (2000)
International Journal of Mathematics and Mathematical Sciences
Dariusz Miklaszewski (2013)
Bulletin of the Polish Academy of Sciences. Mathematics
We prove that Platonic and some Archimedean polyhedra have the fixed point property in a non-classical sense.
Idzik, Adam, Zapart, Anna (2010)
Fixed Point Theory and Applications [electronic only]
Abdelkader Stouti (2002)
Extracta Mathematicae
Boltyanski, V., Martini, H. (1999)
Beiträge zur Algebra und Geometrie
U. Pachner (1977)
Mathematische Annalen
Peter Kosmol (1973)
Manuscripta mathematica
Karlheinz Goldhorn (1973)
Manuscripta mathematica
Richard P. Stanley (1994)
Mathematische Zeitschrift
Bayer, Margaret M. (2004)
The Electronic Journal of Combinatorics [electronic only]
Stachel, Hellmuth (2000)
Journal for Geometry and Graphics