Square Roots of Real 3 × 3 Matrices vs. Quartic Polynomials with Real Zeros
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 There is an interesting analogy between the description of the real square roots of 3×3 matrices and the zeros of the (depressed) real quartic polynomials.
Anghel Nicolae
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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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Determinant Identities and the Geometry of Lines and Circles
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 The focus of this note is the nontrivial determinant identities which typically underlie the complex analytic proofs of all the results in the plane geometry of lines and circles.
Anghel Nicolae
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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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Determinants of Toeplitz–Hessenberg Matrices with Generalized Leonardo Number Entries
Annales Mathematicae SilesianaeLet un = un(k) denote the generalized Leonardo number defined recursively by un = un−1 + un−2 + k for n ≥ 2, where u0 = u1 = 1. Terms of the sequence un(1) are referred to simply as Leonardo numbers.
Goy Taras, Shattuck Mark
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miR-497 Regulates LATS1 through the PPARG Pathway to Participate in Fatty Acid Synthesis in Bovine Mammary Epithelial Cells. [PDF]
Genes (Basel), 2023 Chu S, Yang Y, Nazar M, Chen Z, Yang Z.
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On Matrices with Bidimensional Fibonacci Numbers
Annales Mathematicae SilesianaeIn this paper, the bidimensional extensions of the Fibonacci numbers are explored, along with a detailed examination of their properties, characteristics, and some identities.
Costa Eudes Antonio +1 more
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Sets of range uniqueness for multivariate polynomials and linear functions with rank k. [PDF]
Linear Multilinear Algebra, 2022 Halbeisen L +3 more
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The development of surgical risk score and evaluation of necrotizing soft tissue infection in 161 Naja atra envenomed patients. [PDF]
PLoS Negl Trop Dis, 2022 Lai CS +12 more
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