2014/2
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Recent Submissions
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Lifting connections to the r-jet prolongation of the cotangent bundle
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2014)We show that the problem of finding all Mfm -natural operators C : Q "M QJ r T ∗ lifting classical linear connections ∇ on m-manifolds M into classical linear connections CM (∇) on the r-jet prolongation J r T ∗M of ... -
Dynamic pricing with capacity constraints and inventory replenishment
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2014)This paper describes a fast algorithm for solving a capacitated dynamic pricing problem where the producer has the ability to store inventory. The pricing problem described is a quadratic programming problem with a structure ... -
Synthetic differential geometry of Chen's iterated integrals
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2014)Chen's iterated integrals are treated within synthetic di erential geometry. The main result is that iterated integrals produce a subcomplex of the de Rham complex on the free path space as well as based path spaces. -
New bounds for irrationality measures of some fast converging series
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2014)This paper presents new upper bounds for irrationality measures of some fast converging series of rational numbers. The results depend only on the speed of convergence of the series and do not depend on the arithmetical ... -
Extensions in bounded topology
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2014)In a series of papers, Leseberg has studied and examined several fundamental aspects of generalized nearness in the realm of bounded topology. This paper deals with an alternate, detailed description of so-called ... -
On the polyhedral cones of convex and concave vectors
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2014)Convex or concave sequences of n positive terms, viewed as vectors in n-space, constitute convex cones with 2n − 2 and n extreme rays, respectively. Explicit description is given of vectors spanning these extreme ...