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2. Verjetnost in geometrijaAjda Fošner, Maja Fošner, 2008, published scientific conference contribution Abstract: Verjetnostni račun je eno izmed tradicionalnih področij uporabne matematike. Kako pa z verjetnostjo seznaniti dijake v srednji šoli? Začnemo lahko s predstavitvijo osnovnih pojmov in nadaljujemo s klasično definicijo. Lahko pa uberemo drugo pot - verjetnost predstavimo preko primerov iz vsakdanjega življenja, jo povežemo z geometrijo in se pri tem naučimo še uporabe matematičnega programa, kot je na primer Derive, Graph, SWP. S takim načinom podajanja snovi postane ta veja uporabne matematike še bolj zanimiva, dinamična in predvsem bolj atraktivna tako za dijake kot tudi učitelje. Dijake tovrstni način pridobivanja podatkov še bolj motivira pri delu in usvajanju novega znanja, učenje pa postane še zanimivejše.
Keywords: vzgoja in izobraževanje, matematika, geometrija
Published in RUP: 15.10.2013; Views: 3320; Downloads: 41
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4. On [epsilon]-derivations and local [epsilon]-derivationsAjda Fošner, Maja Fošner, 2010, original scientific article Abstract: In this paper, we describe ▫$\epsilon$▫-derivations in certain graded algebras by their actions on elements satisfying some special conditions. One of the main results is applied to local ▫$\epsilon$▫-derivations on some certain graded algebras.
Keywords: mathematics, algebra, graded algebras, graded prime algebras, graded semiprime algebras, ▫$\epsilon$▫-derivations, local ▫$\epsilon$▫-derivations
Published in RUP: 15.10.2013; Views: 3231; Downloads: 78
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5. On generalized Jordan triple ([alpha], [beta]) [sup] [ast]-derivations and related mappingsShakir Ali, Ajda Fošner, Maja Fošner, Mohammad Salahuddin Khan, 2013, original scientific article Abstract: Let ▫$R$▫ be a 2-torsion free semiprime ▫$\ast$▫-ring and let ▫$\alpha, \beta$▫ be surjective endomorphisms of ▫$R$▫. The aim of the paper is to show that every generalized Jordan triple ▫$(\alpha, \beta)^\ast$▫-derivation on ▫$R$▫ is a generalized Jordan ▫$(\alpha, \beta)^\ast$▫-derivation. This result makes it possible to prove that every generalized Jordan triple ▫$(\alpha, \beta)^\ast$▫-derivation on a semisimple ▫$H^\ast$▫-algebra is a generalized Jordan ▫$(\alpha, \beta)^\ast$▫-derivation. Finally, we prove that every Jordan triple left ▫$\alpha^\ast$▫-centralizer on a 2-torsion free semiprime ring is a Jordan left ▫$\alpha^\ast$▫-centralizer.
Keywords: mathematics, algebra, semiprime ▫$\ast$▫-ring, ▫$H^\ast$▫-algebra, Jordan triple ▫$(\alpha, \beta)^\ast$▫-derivation, generalized Jordan triple ▫$(\alpha, \beta)^\ast$▫-derivation, Jordan triple left ▫$\alpha^\ast$▫-centralizer
Published in RUP: 15.10.2013; Views: 4412; Downloads: 77
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