Results 21 to 29 of about 210 (29)
Eulerian polynomials as moments, via exponential Riordan arrays [PDF]
, 2011 Using the theory of exponential Riordan arrays and orthogonal polynomials, we demonstrate that the "descending power" Eulerian polynomials, and their once shifted sequence, are moment sequences for simple families of orthogonal polynomials, which we ...
Barry, Paul
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Special MatricesA nonzero element aa is called 1-Sylvester in a ring RR, if there exist b,c∈Rb,c\in R such that 1=ab+ca1=ab+ca. In this article, we study such elements, mainly in matrix rings over commutative rings.
Călugăreanu Grigore
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Commutators and Anti-Commutators of Idempotents in Rings
, 2018 We show that a ring $\,R\,$ has two idempotents $\,e,e'\,$ with an invertible commutator $\,ee'-e'e\,$ if and only if $\,R \cong {\mathbb M}_2(S)\,$ for a ring $\,S\,$ in which $\,1\,$ is a sum of two units. In this case, the "anti-commutator" $\,ee'+e'e\
Khurana, Dinesh, Lam, T. Y.
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On (k1A1, k2A2, k3A3)-Edge Colourings in Graphs and Generalized Jacobsthal Numbers
Annales Mathematicae SilesianaeIn this paper we introduce a new kind of generalized Jacobsthal numbers in a distance sense. We give the identities and matrix representations for them and their connections with the Fibonacci and the Pell numbers. We also describe the interpretations of
Piejko Krzysztof, Trojnar-Spelina Lucyna
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The number of rational points of some classes of algebraic varieties over finite fields
Open MathematicsLet Fq{{\mathbb{F}}}_{q} be the finite field of characteristic pp and Fq*=Fq\{0}{{\mathbb{F}}}_{q}^{* }\left={{\mathbb{F}}}_{q}\backslash \left\{0\right\}.
Zhu Guangyan +3 more
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The Maximum Order of Reduced Square(0, 1)-Matrices with a Given Rank [PDF]
We look for the maximum order of a square (0, 1)-matrix A with a fixed rank r, provided A has no repeated rows or columns. If A is the adjacency matrix of a graph, Kotlov and Lovász [J. Graph Theory 23, 1996] proved that the maximum order equals Θ(2r/2).
Haemers, W.H., Peeters, M.J.P.
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Monotonicity of the number of positive entries in nonnegative matrix powers. [PDF]
J Inequal Appl, 2018 Xie Q.
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A library of lineage-specific driver lines connects developing neuronal circuits to behavior in the <i>Drosophila</i> ventral nerve cord. [PDF]
ElifeSoffers JHM +11 more
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