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Continuous functions over discrete partial orders
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2015)
This paper examines the properties of structure preserving morphisms f over discrete partial orders. It employs concepts of continuity and path homomor- phisms. It will conclude that no single constraint on f will ...
A note on finite generated subsemigroups of T(X,Y)
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2015)
It is well known that a countable set of transformations on an innite set X is contained in a two-generated subsemigroup of the full transformation semigroup on X. If Y X, then T(X; Y ), the set of all transformations on ...
Mathematical analysis of continuous time active and adaptive dynamics of artificial neural network in star shape
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2015)
The present paper gives a detailed mathematical description of continuous time active and adaptive dynamics of an articial neural network, based on adaptive resonance theory and consisting in solving systems of dierential ...
Topographic spaces over ordered monoids
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2015)
A topography on a set is considered to be a collection of features described by two valuations: distance and elevation. Spaces with such structure will be studied on a general level, with generalized metric (gem) and ...
A game of asymmetric information between a therapist and a mentally ill patient
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2015)
In this paper, we follow up research of Vatne [23] related to how mentally ill patients could (and perhaps should) be treated. We propose, model, and ana- lyze a simple sequential game of incomplete and asymmetric information ...