Results 101 to 110 of about 10,580,440 (338)
Identities Arising from Binomial-Like Formulas Involving Divisors of Numbers
Annales Mathematicae Silesianae, 2023 In this article, we derive a great number of identities involving the ω function counting distinct prime divisors of a given number n. These identities also include Pochhammer symbols, Fibonacci and Lucas numbers and many more.
Gryszka Karol
doaj +1 more source
, 2020 . The Land Use and Climate Across Scales Flagship Pilot Study (LUCAS FPS) is a coordinated community effort to improve the integration of land use change (LUC) in regional climate models (RCMs) and to quantify the biogeophysical effects of LUC on local ...
E. Davin +17 more
semanticscholar +1 more source
Advanced Healthcare Materials, EarlyView.Imiquimod‐loaded nanoparticles (PFSUV‐IMQ) are found to decrease liver metastasis and liver tumor burden when administered intravenously. Flow cytometry, RNA‐seq and various experiments show that the anti‐tumor response is immune‐mediated by activating dendritic cells resulting in increased CD8 T cell infiltration and activity.
Vanessa Chan +13 more
wiley +1 more source
Cubic binomial Fibonacci sums [PDF]
Electronic Journal of Mathematics, 2021 Kunle Adegoke +2 more
doaj +1 more source
Sharp Bounds for the Signless Laplacian Spectral Radius in Terms of Clique Number [PDF]
, 2012 In this paper, we present a sharp upper and lower bounds for the signless Laplacian spectral radius of graphs in terms of clique number. Moreover, the extremal graphs which attain the upper and lower bounds are characterized.
Abraham Berman +5 more
core
Advanced Materials, EarlyView.The highest experimentally determined focusing efficiency is reported here by using the direct imprinting of all‐inorganic TiO2 metalens arrays. Absolute efficiency greater than 80% and relative efficiency greater than 90% are achieved by optimization of all fabrication parameters controllable in the additive manufacturing process.
Dae Eon Jung +7 more
wiley +1 more source
Annales Mathematicae SilesianaeWe develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred from some trigonometric identities.
Adegoke Kunle +2 more
doaj +1 more source
Repdigits as Euler functions of Lucas numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 We prove some results about the structure of all Lucas numbers whose Euler function is a repdigit in base 10. For example, we show that if Ln is such a Lucas number, then n < 10111 is of the form p or p2, where p3 | 10p-1 -1.
Bravo Jhon J. +3 more
doaj +1 more source
On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers
Journal of Inequalities and Applications, 2017 In this paper, we present new upper and lower bounds for the spectral norms of the r-circulant matrices Q=Cr((ba)ξ(1)2q0,(ba)ξ(2)2q1,(ba)ξ(3)2q2,…,(ba)ξ(n)2qn−1) $Q=C_{r} ( (\frac{b}{a} )^{\frac{\xi (1)}{2}}q_{0}, (\frac{b}{a} )^{\frac{\xi(2)}{2}}q_{1}, (
Cahit Köme, Yasin Yazlik
doaj +1 more source
A Sequence Bounded Above by the Lucas Numbers
Sakarya University Journal of Science, 2018 In this work, we consider the sequence whose nth term is the number of h-vectors of length n. The set of integer vectors E(n) is introduced. For, n >=2, the cardinality of E(n) is the nth Lucas number Ln is showed. The relation between the set of h-vectors L(n) and the set of integer vectors E(n) is given.
Ali Aydoğdu +2 more
openaire +5 more sources