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Povzetek: Let $f$ be a noncommutative polynomial of degree $m\ge 1$ over an algebraically closed field $F$ of characteristic $0$. If $n\ge m-1$ and $\alpha_1,\alpha_2,\alpha_3$ are nonzero elements from $F$ such that $\alpha_1+\alpha_2+\alpha_3=0$, then every trace zero $n\times n$ matrix over $F$ can be written as $\alpha_1 A_1+\alpha_2A_2+\alpha_3A_3$ for some $A_i$ in the image of $f$ in $M_n(F)$.
Ključne besede: Waring problem, noncommutatative polynomials, matrix algebras
Objavljeno v DiRROS: 10.04.2024; Ogledov: 162; Prenosov: 92
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Povzetek: For a slice-regular quaternionic function $f$, the classical exponential function ${\mathrm exp} f$ is not slice-regular in general. An alternative definition of an exponential function, the $\ast$-exponential ${\mathrm exp}_\ast$, was given in the work by Altavilla and de Fabritiis (2019): if $f$ is a slice-regular function, then ${\mathrm exp}_\ast f$ is a slice-regular function as well. The study of a $\ast$-logarithm ${\mathrm log}_\ast f$ of a slice-regular function $f$ becomes of great interest for basic reasons, and is performed in this paper. The main result shows that the existence of such a ${\mathrm log}_\ast f$ depends only on the structure of the zero set of the vectorial part $f_v$ of the slice-regular function $f = f_0 + f_v$, besides the topology of its domain of definition. We also show that, locally, every slice-regular nonvanishing function has a $\ast$-logarithm and, at the end, we present an example of a nonvanishing slice-regular function on a ball which does not admit a $\ast$-logarithm on that ball.
Ključne besede: regular functions over quaternions, quaternionic logarithm of slice-regular functions
Objavljeno v DiRROS: 10.04.2024; Ogledov: 221; Prenosov: 92
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Povzetek: This article explores the subjective perceptions of well-being of migrant children attending primary school (9-14 years) and secondary school (15-18 years) in Slovenia. It focuses on how they conceptualise their fears, worries and concerns, what is important for them to feel accepted and safe, and how they think about their past and the future. Using a comparative perspective, similarities and differences in the experience of well-being of these two age groups of migrants are explored. The analysis is based on open-ended narrative interviews with migrant children and revolves around the question of whether and how age influences their subjective perception of well-being. The article sheds light on age-specific meanings and understandings of migration processes based on the views and experiences of migrant children and youth regarding their well-being, bringing to the fore the perspectives of children that are often missing or underrepresented in integration policy.
Ključne besede: acceptance, agency, well-being, age differences, migrant children
Objavljeno v DiRROS: 09.04.2024; Ogledov: 268; Prenosov: 84
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Povzetek: In this paper, the influences of stacking methods and drying places of split oak firewood in winter conditions (Quercus cerris) have been experimentally and theoretically investigated, due to the great importance of use in heating with such wood. The research was conducted on a sample of 48 pieces of logs with bark made of freshly cut oak. The logs were obtained by mechanized technology with the help of grafting by a hydraulic splitter and a chainsaw. Each log was measured for a research length of 0.30 m, marked with numbers 1-24. On each log, the weight was measured on a scale of 5 kg with an accuracy of 0.5 grams. Drying of logs was performed in two places. The first drying place was in outdoor conditions, sheltered from the snow and ventilated. The second place was indoors, at approximately constant room temperature. The logs were stacked in a crossed way for better air circulation. They were dried between 15/12/2020 and 15/02/2021, a total of 62 days. The average initial weight of logs dried in the facility was 1130.3 g, in the dried state the average weight was 952.87 g, which represented 84.3% of the original weight. The average initial weight of logs dried in outdoor conditions was 1192.125 g, in the dried state 1076.37 g, which represented 90.29% of the original weight. The average initial water content in the logs dried in the facility was 37.9%, in the dried state it was 27.5%. For logs dried in outdoor conditions, the average initial amount of water was 36.6%, in the dried state the average amount of water was 31.2%.
Ključne besede: weight, drying methods, splitting firewood, oak, stacking methods
Objavljeno v DiRROS: 09.04.2024; Ogledov: 571; Prenosov: 415
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Povzetek: Abstract Background There is limited information regarding adaptation of HIIT in female athletes which is important since the adaptation to HIIT may be diferent compared to male athletes. Therefore, the aim of this systematic review was to summarize the efects of HIIT on physical performance in female team sports athletes. Methods The following databases Google Scholar, PubMed, Web of Science, Cochrane Library, ProQuest and Science Direct were searched prior to September 2nd, 2022. The inclusion criteria were longitudinal studies written in English, elite, sub-elite or college female team sports participants, and HIIT intensity had to be at 80–100% maximal heart rate. There were no exclusion criteria regarding the age of the participants or their training experience. The primary outcome measures were maximal oxygen uptake (VO2max), repeated sprint ability (RSA), change of direction speed, speed, explosive strength and body composition. Results A total of 13 studies met the inclusion criteria, with a total of 230 participants. HIIT improved VO2max in fve studies (ES from 0.19 to 1.08), while three studies showed improvement in their RSA (ES from 0.32 to 0.64). In addition, change of direction speed was improved in fve studies (ES from 0.34 to 0.88), while speed improved in four studies (ES from 0.12 to 0.88). Explosive strength results varied (ES from 0.39 to 1.05), while in terms of body composition, the results were inconsistent through observed team sports. Conclusion HIIT has signifcant efects on VO2max, RSA, change of direction speed, speed and explosive strength in female team sports, regardless of the competition level.
Ključne besede: interval training, output, VO2max, physical fitness
Objavljeno v DiRROS: 09.04.2024; Ogledov: 244; Prenosov: 176
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