2015/1
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Recent Submissions
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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 ... -
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 ... -
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 ... -
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 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 ...