2013/2
Browse by
Recent Submissions
-
Topological frame extension
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2013)The concept of nearness on a set was introduced by H. Herrlich. D. Le- seberg generalized nearness by introducing supernearness, which generalizes also supertopology as de ned by D. Doitchinov. In this paper, our work is ... -
Mathematical evolution in discrete networks
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2013)This paper provides a mathematical explanation for the phenomenon of \triadic closure" so often seen in social networks. It appears to be a natural consequence when network change is constrained to be continuous. The concept ... -
Dwindlable R-algebras
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2013)The concept of a dwindlable R-algebra is defined for an arbitrary topo- logical R-algebra A. It is proved that if A is dwindlable, then its subalgebra of fixed points is trivial. It is also demonstrated that for an ... -
From Lie algebras to Lie groups within synthetic differential geometry: Weil sprouts of Lie's third fundamental theorem
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2013)Weil prolongations of a Lie group are naturally Lie groups. It is not known in the theory of in nite-dimensional Lie groups how to construct a Lie group with a given Lie algebra as its Lie algebra or whether there exists ... -
Optimal treatment strategies for musculoskeletal diseases
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2013)This paper presents a model which aims to find an optimal treatment time for patients with musculoskeletal diseases. The stochastic dynamic programming model presented is based on minimizing expected costs given a ... -
On exponentiation and multiplication of n-ary hyperalgebras
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2013)In the paper, a new operation of product of n-ary hyperalgebras is intro- duced and studied which lies between their direct product and the direct product of their idempotent hulls. With respect to the product introduced, ...