Results 61 to 70 of about 1,694,233 (308)
A combined approach to Perrin and Padovan hybrid sequences
Heliyon, 2021 Recently, there has been huge interest to a new numeric set, which brings together three numerical systems: complex, hyperbolic and dual numbers, called as hybrid number.
Seyyed H. Jafari Petroudi +3 more
doaj +1 more source
Two Generalizations of Dual-Hyperbolic Balancing Numbers
Symmetry, 2020 In this paper, we study two generalizations of dual-hyperbolic balancing numbers: dual-hyperbolic Horadam numbers and dual-hyperbolic k-balancing numbers. We give Catalan’s identity, Cassini’s identity, and d’Ocagne’s identity for them.
D. Bród, A. Szynal-Liana, I. Włoch
semanticscholar +1 more source
Derivatives of tangent function and tangent numbers
, 2015 In the paper, by induction, the Fa\`a di Bruno formula, and some techniques in the theory of complex functions, the author finds explicit formulas for higher order derivatives of the tangent and cotangent functions as well as powers of the sine and ...
Bourbaki +37 more
core +1 more source
Experimental evidence for the Volume Conjecture for the simplest hyperbolic non-2-bridge knot
, 2005 Loosely speaking, the Volume Conjecture states that the limit of the n-th colored Jones polynomial of a hyperbolic knot, evaluated at the primitive complex n-th root of unity is a sequence of complex numbers that grows exponentially.
Bailey +7 more
core +1 more source
De Moivre’s and Euler Formulas for Matrices of Hybrid Numbers
Axioms, 2021 It is known that the hybrid numbers are generalizations of complex, hyperbolic and dual numbers. Recently, they have attracted the attention of many scientists.
Mücahit Akbıyık +3 more
doaj +1 more source
Molecular Oncology, EarlyView.Adaptaquin selectively kills glioma stem cells while sparing differentiated brain cells. Transcriptomic and proteomic analyses show Adaptaquin disrupts iron and cholesterol homeostasis, with iron chelation amplifying cytotoxicity via cholesterol depletion, mitochondrial dysfunction, and elevated reactive oxygen species.
Adrien M. Vaquié +16 more
wiley +1 more source
Birational Quadratic Planar Maps with Generalized Complex Rational Representations
Mathematics, 2023 Complex rational maps have been used to construct birational quadratic maps based on two special syzygies of degree one. Similar to complex rational curves, rational curves over generalized complex numbers have also been constructed by substituting the ...
Xuhui Wang +4 more
doaj +1 more source
Kissing numbers of closed hyperbolic manifolds [PDF]
American Journal of Mathematics, 2019 :We prove an upper bound for the number of shortest closed geodesics in a closed hyperbolic manifold of any dimension in terms of its volume and systole, generalizing a theorem of Parlier for surfaces.
Maxime Fortier Bourque, Bram Petri
semanticscholar +1 more source
Counting problems for geodesics on arithmetic hyperbolic surfaces
, 2017 It is a longstanding problem to determine the precise relationship between the geodesic length spectrum of a hyperbolic manifold and its commensurability class.
Linowitz, Benjamin
core +1 more source
Screening for lung cancer: A systematic review of overdiagnosis and its implications
Molecular Oncology, EarlyView.Low‐dose computed tomography (CT) screening for lung cancer may increase overdiagnosis compared to no screening, though the risk is likely low versus chest X‐ray. Our review of 8 trials (84 660 participants) shows added costs. Further research with strict adherence to modern nodule management strategies may help determine the extent to which ...
Fiorella Karina Fernández‐Sáenz +12 more
wiley +1 more source