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Divergence zero quaternionic vector fields and Hamming graphs
Jasna Prezelj, Fabio Vlacci, 2020, original scientific article

Abstract: We give a possible extension of the definition of quaternionic power series, partial derivatives and vector fields in the case of two (and then several) non commutative (quaternionic) variables. In this setting we also investigate the problem of describing zero functions which are not null functions in the formal sense. A connection between an analytic condition and a graph theoretic property of a subgraph of a Hamming graph is shown, namely the condition that polynomial vector field has formal divergence zero is equivalent to connectedness of subgraphs of Hamming graphs ▫$H(d, 2)$▫. We prove that monomials in variables ▫$z$▫ and ▫$w$▫ are always linearly independent as functions only in bidegrees ▫$(p, 0)$▫, ▫$(p, 1)$▫, ▫$(0, q)$▫, ▫$(1, q)$▫ and ▫$(2, 2)$▫.
Keywords: quaternionic power series, bidegree full functions, Hamming graph, linearly independent quaternionic monomials
Published in RUP: 03.01.2022; Views: 947; Downloads: 16
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Development of drought monitoring system based on satellite data and ground measurements
Žiga Kokalj, Janez Žibert, Peter Rogelj, Mateja Iršič Žibert, Boštjan Muri, Krištof Oštir, 2015, published scientific conference contribution abstract

Keywords: drought monitoring, satellite data, data synchronisation, time-series analysis, machine learning, Slovenia
Published in RUP: 08.08.2016; Views: 3113; Downloads: 85
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Forecasting the primary demand for a beer brand using time series analysis
Danjel Bratina, Armand Faganel, 2008, original scientific article

Keywords: market research, time series forecasting, beer demand, trženjsko raziskovanje, analiza časovnih vrst, pivo, povpraševanje
Published in RUP: 10.07.2015; Views: 2888; Downloads: 102
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