1. Vertex numbers of simplicial complexes with free abelian fundamental groupFlorian Frick, Matt Superdock, 2025, original scientific article Abstract: We show that the minimum number of vertices of a simplicial complex with fundamental group ℤn is at most O(n) and at least Ω(n3/4). For the upper bound, we use a result on orthogonal 1-factorizations of K2n. For the lower bound, we use a fractional Sylvester–Gallai result. This application of extremal results in discrete geometry seems to be new. We also prove that any group presentation ⟨S|R⟩ ≅ ℤn whose relations are of the form gahbic for g, h, i ∈ S has at least Ω(n3/2) generators.
Keywords: simplicial complex, fundamental group, incidence geometry
Published in RUP: 18.09.2025; Views: 514; Downloads: 8
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2. Identifying and supporting twice-exceptional students with emotional and behavioral disorders : perspectives of primary school teachersDiana Oman, Mojca Kukanja-Gabrijelčič, Vanja Riccarda Kiswarday, 2025, original scientific article Abstract: This study investigates how primary school teachers recognize and support twiceexceptional students—those who exhibit both high cognitive potential and emotional or behavioral disorders. The objective is to explore the extent to which these students are identified in school settings and to examine professional awareness, attitudes, and practices regarding their needs. Due to the complex and often contradictory nature of their profiles, the giftedness of twice-exceptional students is frequently overlooked, especially when behavioral and emotional difficulties obscure their academic potential. Relying primarily on quantitative descriptive methods, the research surveyed education professionals on their knowledge and recognition of twice-exceptionality. The findings reveal a persistent reliance on traditional markers of giftedness, such as measurable academic performance, with insufficient attention paid to behavioral and emotional indicators. The study emphasizes the need for a multidimensional and holistic approach to giftedness identification, combining academic, psychological, and behavioral assessments. It further calls for systematic professional development and institutional adjustments to ensure these students receive adequate support, preventing their marginalization and enabling the full realization of their potential.
Keywords: giftedness, twice-exceptionality, emotional and behavioral difficulties, professional recognition, identification, complex needs, diagnostic approach
Published in RUP: 11.07.2025; Views: 674; Downloads: 12
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3. On ▫$L^2$▫ approximation by planar Pythagorean-hodograph curvesRida T. Farouki, Marjetka Knez, Vito Vitrih, Emil Žagar, 2025, original scientific article Abstract: The ▫$L^2$▫ approximation of planar curves by Pythagorean-hodograph (PH) polynomial curves is addressed, based on the distance defined by a metric for planar curves represented as complex valued functions of a real parameter. Because of the nonlinear nature of polynomial PH curves, constructing ▫$L^2$▫ approximants involves solving a nonlinear optimization problem. However, a simplified method that requires only the solution of a linear system may be developed by formulating the ▫$L^2$▫ approximation in the preimage space. The extension of the methodology to approximation by PH B-spline curves is also addressed, and several examples are provided to illustrate its implementation and potential.
Keywords: ▫$L^2$▫ approximation, complex polynomial, Pythagorean-hodograph curve, Pythagorean-hodograph spline, preimage
Published in RUP: 30.05.2025; Views: 2276; Downloads: 15
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10. Tailored modulation of cellular pro-inflammatory responses with disaccharide lipid a mimeticsHeine Holger, Florian Adanitsch, Tina Tinkara Peternelj, Mira Haegman, Christoph Kasper, Simon Ittig, Rudi Beyaert, Roman Jerala, Alla Zamyatina, 2021, original scientific article Keywords: TLR4/MD-2 complex activation, Toll-like Receptor 4, immune cells activation, immunomodulation, innate immunity, lipopolysaccharide, potential adjuvant, synthetic TLR4 agonist
Published in RUP: 06.05.2021; Views: 2308; Downloads: 73
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