Publikationsserver der Katholischen Universität Eichstätt-Ingolstadt
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Closed form representations for the compactly supported radial basis functions of Buhmann, Wendland and Wu
No full textThe original compactly supported radial basis functions of Wendland (Adv. Comput. Math., 4, 389–396, 1995) and Wu (Adv. Comput. Math., 4, 283–292, 1995) have a polynomial form and are constructed using a two-step dimension walk strategy. Focussing on the Wendland functions, Schaback (Adv. Comput. Math., 34(1), 67–81, 2011) proposed a one-step dimension walk which is shown to recover the original Wendland functions at every second step but also introduces new examples, the so-called missing Wendland functions at the intermediate steps. In a recent paper (Science China Mathematics Published online, 2025), the analogue of Schaback’s work is presented for the Wu functions and so delivers the so-called missing Wu functions. The original and missing Wendland functions belong to a much wider class proposed by Buhmann (Math. Comput., 70(233), 307–318, 2001). The classical Buhmann functions, which are related to thin-plate spline radial basis functions, also belong to this much wider class. The theme uniting the classical Buhmann functions and the missing Wendland/Wu functions is that they are non-polynomial, and closed-form expressions are not known for all of them. In this paper, we revisit these functions and show how closed-form representations can be given using direct techniques. The results for the classical Buhmann and Wu functions are new, and the resulting expressions for the missing Wendland functions improve on those given in Hubbert (Adv. Comput. Math., 36, 115–136, 2012) and so their implementation should be more straightforward
Mean ergodic and related properties of generalized Cesàro operators in BK-sequence spaces
No full textRecent results concerning the linear dynamics and mean ergodicity of compact operators in Banach spaces, together with additional new results, are employed to investigate various spectral properties of generalized Cesàro operators acting in large classes of classical BK-sequence spaces. Of particular interest is to determine the eigenvalues and the corresponding eigenvectors of such operators and to decide whether (or not) the operators are power bounded, mean ergodic and supercyclic
Big Six personality traits in the Africa Long Life Study
No full textWe explored Big Six personality traits and their correlates among 18-year-olds from Kenya, Namibia, and South Africa (N = 1,746). Established Big-Five and Six-inventories contain culture-specific phrasing and lack fit and measurement invariance in Africa. Using the original maker terms from diverse lexical studies used to build the HEXACO, we created new, single-term Big Six scales with good fit and measurement invariance across countries, which we used to explore concurrent and predictive associations with mental/physical health, and religiosity. Results for Honesty, Agreeableness, Conscientiousness, and Openness replicated findings from North America and Europe, while Extraversion and Emotionality did not, indicating more cultural-specificity. Our method represents a middle path between imported and culture-specific personality research, a promising approach for cross-cultural research
Empirische Arbeit : welche Bedeutung haben elterliche Überzeugungen und Aktivitäten für den Erwerb früher mathematischer Kompetenzen?
No full textFrühe mathematische Kompetenzen sind bedeutsam für spätere Schulleistungen. Individuelle Unterschiede in frühen mathematischen Kompetenzen lassen sich bereits im Vorschulalter durch die Home Numeracy Environment (HNE) erklären. Wenngleich angenommen wird, dass der Zusammenhang zwischen elterlichen Überzeugungen und frühen mathematischen Kompetenzen über elterliche Aktivitäten mit mathematischem Inhalt vermittelt wird, wurde dieser bisher kaum untersucht. Ziel dieser Studie ist es deshalb, den Zusammenhang unterschiedlicher Komponenten der HNE mit den frühen mathematischen Kompetenzen in Mediationsmodellen, anhand einer Stichprobe von N=168 Eltern-Kind-Paaren aus dem Vorschulbereich, zu untersuchen. Es zeigen sich differenzierte Ergebnisse: Unter Kontrolle kindlicher Charakteristika wird der Zusammenhang von elterlichen Überzeugungen zum kindlichen Interesse mit den frühen mathematischen Kompetenzen teilweise über elterliche Aktivitäten mit mathematischem Inhalt mediiert. Für den Prädiktor elterliche Überzeugungen zu den Fähigkeiten ihrer Kinder auf frühe mathematische Kompetenzen konnten hingegen keine Mediationseffekte über elterliche Aktivitäten ermittelt werden
Welchen Stellenwert hat Geographie bei der Implementierung von BNE in der Schule im Fächervergleich? : Erkenntnisse eines systematischen Reviews zu empirischen Befunden
No full textDer Beitrag zeigt auf, welchen Stellenwert der Geographieunterricht bei der Implementierung von BNE im Vergleich der Unterrichtsfächer hat. Die datenbankgestützte Review ergab 33 deutsch- und englischsprachige Publikationen, die empirisch ermittelte Angaben in den Bereichen Rahmendokumente, Lehrpläne, Lehrkräftebildung, Lernort Schule und Assessment umfassten. Die Ergebnisse machen deutlich, dass Geographie in allen Bereichen eine sehr wichtige Rolle spielt, was ihren Anspruch, Leitfach von BNE zu sein, unterstützt. Dabei werden die Befunde mit einer hohen Affinität zwischen BNE und Geographie in Bezug auf Fachkonzepte, Ziele, Inhalte, Kompetenzen und Methoden begründet. Abschließend werden Schlussfolgerungen für die Forschung und Implementierung vorgestellt
Toward social resilience in newsrooms? : insights into the coping, adaptation and transformation strategies that journalists and media organizations in Germany use to resist harassment in response to conflict reporting
No full textGreat transitions in Donaumoos land reclamation (Bavaria, Germany) since the late 18th century : a palaeohydrological and historical perspective
No full textSystematic human intervention in wetlands has been taking place in central Europe for several centuries. The Donaumoos fen in Upper Bavaria, Germany, has been cultivated since 1788, resulting in the permanent loss of its natural state. The adjacent Danube River was straightened during the same period. This study presents a quantitative reconstruction over a 235-year-long time frame of the development of the natural Donaumoos fen and Danube River into a human-dominated landscape (anthroposphere). The selected quantitative proxies for the change in the socio-ecological system are the Donaumoos drainage ditch lengths and changes in Danube surface water area traced through the analysis of old maps. A multi-temporal series of old maps from 1788 to 2023 are used to document land reclamation in the Donaumoos and hydro-engineering activities in the Danube floodplain. A comparison of the quantitative data on the development of drainage ditch lengths with the state of research from written sources leads to the discovery of potential great transitions in floodplain and peatland changes and associated human drivers as well as consequences for society in the region. One phase of great transition with far-reaching human interventions spanned 1788 to 1794 and a second phase ran from 1907 to 1959. However, the phases of substantial transitions with river straightening, land reclamation and colonization were embedded in multi-decadal intervals of setbacks and socio-ecological stagnation. Regarding the future, an updated economic and ecological understanding of resources is difficult to implement for the Donaumoos because socio-ecological path dependencies present challenges for the sustainable development of the Donaumoos, in particular, the ongoing and self-reinforcing mechanism of peat subsidence in parallel with the ongoing pressure for drainage under continued agricultural use of the former fen