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On Russell and Anti Russell-Cardinals
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Horst Herrlich --- , Germany Kyriakos Keremedis --- Department of Mathematics, Greece Eleftherios Tachtsis --- Department of Statistics and Actuarial-Financial Mathematics, GreeceIn the absence of the Axiom of Choice we study countable families of 2-element sets with no choice functions which either have infinite subfamilies with a choice function or no infinite subfamilies with a choice function. -
Codes related to line graphs of triangular graphs and permutation decoding
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Washiela Fish --- Department of Mathematics and Applied Mathematics, South Africa Khumbo Kumwenda --- Department of Mathematics and Applied Mathematics, South Africa Eric Mwambene --- Department of Mathematics and Applied Mathematics, South AfricaFor any prime p, we consider p-ary linear codes obtained from the row span of incidence matrices of line graphs of triangular graphs and adjacency matrices of their line graphs. We determine parameters of the codes, their automorphism groups and... -
The nearest-plant method is robust and powerful enough for different survey teams to monitor change in mesic grassland species composition
Item type: Journal Article • Journal: African Journal of Range & Forage Science • Authors: Alan Short --- Themeda Eco Consulting, South Africa Craig Morris --- Agricultural Research Council–Livestock Business Division, Range and Forage Unit, c/o School of Biological and Conservation Sciences, South AfricaA long-term rangeland monitoring programme needs to employ a field survey technique that is practicable, precise, powerful enough to distinguish change, not prone to worker bias, and able to distinguish real change from operator error arising from staff turnover. These... -
Sophie Germain prime p and the permutation of product of first p cycles
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: M. Makeshwari --- Central University of Tamil Nadu, India V.P. Ramesh --- Central University of Tamil Nadu, India R. Thangadurai --- Harish-Chandra Research Institute, A CI of Homi Bhabha National Institute, IndiaFor a natural number n, the permutation (n!) is defined as the left-to-right product of the first n cycles, namely, . In this article, we prove that for any natural number n, 2 is a primitive root of 2n +...