Results 81 to 90 of about 145,594 (304)
The class of Lucas-Lehmer polynomials [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2016 In this paper we introduce a new sequence of polynomials, which follow the same recursive rule of the well-known Lucas-Lehmer integer sequence. We show the most important properties of this sequence, relating them to the Chebyshev polynomials of the ...
Pierluigi Vellucci +1 more
doaj
Lucas numbers that are palindromic concatenations of two distinct repdigits [PDF]
arXiv, 2023 Let $ \{L_n\}_{n\geq 0} $ be the sequence of Lucas numbers. In this paper, we determine all Lucas numbers that are palindromic concatenations of two distinct repdigits.
arxiv
Primitive Divisors of Lucas and Lehmer Sequences [PDF]
Mathematics of Computation, 1995 In this paper we prove that if n>30 030, then the nth element of any Lucas or Lehmer sequence has a primitive divisor.
openaire +10 more sources
Advanced Materials, EarlyView.Lipid nanoparticles (LNPs) of unconventional composition and defined structures are investigated as small oligonucleotide carriers. A composition is identified that outperforms Onpattro in cargo delivery to HeLa cells. The structure of these LNPs resembles a micellar cubic phase not commonly associated with high‐performing LNPs.
Miina Ojansivu +9 more
wiley +1 more source
Chemistry – A European Journal, Volume 28, Issue 67, December 1, 2022., 2022 The chemical evolution of polyketide natural products leads to the unprecedented combination of biosynthetically related fragments in arrangements not found in Nature. The pseudo‐natural product grismonone was identified to be a potent inhibitor of Hedgehog signaling – a bioactivity that is not shared by its guiding fragments.
Michael Grigalunas +9 more
wiley +1 more source
Advanced Optical Materials, EarlyView.Photochromic compounds are versatile ingredients for the development of Chemical AI. When they are embedded in a tight microenvironment, they become Markov blankets. They are also valuable for processing Boolean and Fuzzy logic. They contribute to neuromorphic engineering in wetware based on opto‐chemical signals exchanged with oscillatory chemical ...
Pier Luigi Gentili
wiley +1 more source
AxiomsIn this paper, we introduce a novel class of graphs referred to as the Horadam–Lucas cubes. This class extends the concept of Lucas cubes and retains numerous desirable properties associated with them.
Elif Tan +2 more
doaj +1 more source
On fourth-order jacobsthal quaternions
Journal of Mathematical Sciences and Modelling, 2018 In this paper, we present for the first time a sequence of quaternions of order 4 that we will call the fourth-order Jacobsthal and the fourth-order Jacobsthal-Lucas quaternions. In particular, we are interested in the generating function, Binet formula,
Gamaliel Cerda-morales
doaj +1 more source
Identities for second order recurrence sequences [PDF]
arXiv, 2018 We derive several identities for arbitrary homogeneous second order recurrence sequences with constant coefficients. The results are then applied to present a unified study of six well known integer sequences, namely the Fibonacci sequence, the sequence of Lucas numbers, the Jacobsthal sequence, the Jacobsthal-Lucas sequence, the Pell sequence and the ...
arxiv
Simultaneous Detection of Neural Activity and Temperature in Photothermal Neural Stimulation
Advanced Science, EarlyView.Photothermal neuromodulation technology faces limitations in understanding its mechanisms and effects on cellular behavior due to the difficulty of directly measuring temperature changes at the cell interface during optical stimulation of neurons. To overcome this challenge, ultrasensitive, transparent temperature sensors integrated with low‐noise ...
Duhee Kim +8 more
wiley +1 more source