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4. Divergence zero quaternionic vector fields and Hamming graphsJasna 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: 838; Downloads: 16 Full text (354,73 KB) |
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6. Effect of the drying method of pine and beech wood on fracture toughness and shear yield stressDaniel Chuchała, Jakub Michal Sandak, Kazimierz A. Orłowski, Tomasz Muzinski, Marcin Lackowski, Tomasz Ochrymiuk, 2020, original scientific article Keywords: cutting process, sawing process, cutting power, fracture toughness, drying process, pine wood, beech wood, shear yield stress Published in RUP: 26.10.2020; Views: 1269; Downloads: 66 Link to full text |
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9. Maximal explosive power of the lower limbs before and after 35 days of bed rest under different diet energy intakeEnrico Rejc, Pietro Enrico Di Prampero, Stefano Lazzer, Bruno Grassi, Boštjan Šimunič, Rado Pišot, Guglielmo Antonutto, Marco Vincenzo Narici, 2015, original scientific article Keywords: maximal explosive power, bed rest, diet, lower limbs, nutritional countermeasures Published in RUP: 08.08.2016; Views: 2710; Downloads: 197 Link to full text |
10. A 35-day bed rest does not alter the bilateral deficit of the lower limbs during explosive effortsEnrico Rejc, Pietro Enrico Di Prampero, Stefano Lazzer, Bruno Grassi, Boštjan Šimunič, Rado Pišot, Guglielmo Antonutto, Marco Vincenzo Narici, 2015, original scientific article Keywords: bed rest, maximal explosive power, lower limbs, EMG, bilateral deficit Published in RUP: 08.08.2016; Views: 2991; Downloads: 293 Link to full text |