Results 61 to 70 of about 10,580,440 (338)
, 2021 {"references": ["1.\tR. Sivaraman, Number Triangles and Metallic Ratios, International Journal of Engineering and Computer Science, Volume 10, Issue 8, pp. 25365 \u2013 25369. 2.\tR. Sivaraman, Generalized Pascal's Triangle and Metallic Ratios, International Journal of Research, Volume 9, Issue 7, pp. 179 \u2013 184. 3.\tR.
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Fibonacci numbers and Lucas numbers in graphs
Discrete Applied Mathematics, 2009 AbstractA subset S⊆V(G) is independent if no two vertices of S are adjacent in G. In this paper we study the number of independent sets in graphs with two elementary cycles. In particular we determine the smallest number and the largest number of these sets among n-vertex graphs with two elementary cycles.
Mariusz Startek +2 more
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Marketing Models and the Lucas Critique [PDF]
, 2004 The Lucas critique has been largely ignored in the marketing literature. We present a number of conditions under which the critique is most likely to (also) apply in marketing settings.
Dekimpe, M.G. (Marnik) +2 more
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Environmental Research Letters, 2023 We present a new application to recognize 218 species of cultivated crops on geo-tagged photos, ‘Pl@ntNet Crops’. The application and underlying algorithms are developed using more than 750k photos voluntarily collected by Pl@ntNet users. The app is then
M van der Velde +13 more
doaj +1 more source
Modified Lucas-Washburn theory for fluid filling in nanotubes.
Physical Review E, 2022 Ultrafast water transport in carbon nanotubes (CNTs) has drawn a great deal of attention in a number of applications, such as water desalination, power generation, and biomolecule detection.
M. Heiranian, N. Aluru
semanticscholar +1 more source
Balancing and Lucas-Balancing Numbers and their Application to Cryptography [PDF]
, 2016 It is well known that, a recursive relation for the sequence  is an equation that relates  to certain of its preceding terms .
Kumar Ray, Prasanta +2 more
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A TILING INTERPRETATION FOR (p,q)-FIBONACCI AND (p,q)-LUCAS NUMBERS
Journal of Universal Mathematics, 2022 In this paper, we introduce a tiling approach to (p,q)-Fibonacci and (p,q)-Lucas numbers that generalize of the well-known Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal ve Jacobsthal-Lucas numbers.
Yasemin Taşyurdu +1 more
semanticscholar +1 more source
Incomplete Tribonacci–Lucas Numbers and Polynomials [PDF]
Advances in Applied Clifford Algebras, 2014 In this paper, we define Tribonacci-Lucas polynomials and present Tribonacci-Lucas numbers and polynomials as a binomial sum. Then, we introduce incomplete Tribonacci-Lucas numbers and polynomials. In addition we derive recurrence relations, some properties and generating functions of these numbers and polynomials. Also, we find the generating function
Necati Taskara, Nazmiye Yilmaz
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On squares in Lucas sequences [PDF]
, 2006 Let P and Q be non-zero integers. The Lucas sequence U_n(P,Q) is defined by U_0=0, U_1=1, U_n= P*U_{n-1}-Q*U_{n-2} for n >1. The question of when U_n(P,Q) can be a perfect square has generated interest in the literature.
Bremner, A., Tzanakis, N.
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On generalized (k, r)-Pell and (k, r)-Pell–Lucas numbers
Notes on Number Theory and Discrete Mathematics, 2022 We introduce new kinds of k-Pell and k-Pell–Lucas numbers related to the distance between numbers by a recurrence relation and show their relation to the (k,r)-Pell and (k,r)-Pell–Lucas numbers.
B. Kuloğlu, E. Özkan
semanticscholar +1 more source