Results 51 to 60 of about 180 (135)

Magnetic dynamics of hedgehog in icosahedral quasicrystal. [PDF]

Sci Rep, 2022
Watanabe S.
europepmc   +1 more source

Cubes Fibonacci

Cette note présente une identité numérique observée dans la suite de Fibonacci.Pour tout entier impair d≥7, la relation exacte suivante est vérifiée : F(3d)+3F(d)=5F(d)^3 Cette identité met en évidence une structure cubique reliant les valeurs de Fibonacci aux indices d et 3d.Le résultat provient d’explorations computationnelles de la suite de ...
openaire   +2 more sources

Assembly and Analysis of Cell-Scale Membrane Envelopes. [PDF]

J Chem Inf Model, 2022
Vermaas JV, Mayne CG, Shinn E, Tajkhorshid E.   +3 more
europepmc   +1 more source

FIBONACCI NUMBERS MODULO CUBES OF PRIMES

Taiwanese Journal of Mathematics, 2013
Let $p$ be an odd prime. It is well known that $F_{p-(\frac p5)}\equiv 0\pmod{p}$, where $\{F_n\}_{n\ge0}$ is the Fibonacci sequence and $(-)$ is the Jacobi symbol. In this paper we show that if $p\not=5$ then we may determine $F_{p-(\frac p5)}$ mod $p^3$ in the following way: $$\sum_{k=0}^{(p-1)/2}\frac{\binom{2k}k}{(-16)^k}\equiv\left(\frac{p}5\right)
openaire   +3 more sources

Single-crystal-to-single-crystal translation of a helical supramolecular polymer to a helical covalent polymer. [PDF]

Proc Natl Acad Sci U S A, 2022
Khazeber R, Sureshan KM.
europepmc   +1 more source

Control in Probability for SDE Models of Growth Population. [PDF]

Appl Math Optim, 2022
Pérez-Aros P, Quiñinao C, Tejo M.
europepmc   +1 more source

Spatial Resolution of Late Reverberation in Virtual Acoustic Environments. [PDF]

Trends Hear, 2021
Kirsch C, Poppitz J, Wendt T, van de Par S, Ewert SD.   +4 more
europepmc   +1 more source

PyUUL provides an interface between biological structures and deep learning algorithms. [PDF]

Nat Commun, 2022
Orlando G, Raimondi D, Duran-Romaña R, Moreau Y, Schymkowitz J, Rousseau F.   +5 more
europepmc   +1 more source

Dynamic structure driven image scrambling technique for data protection. [PDF]

Sci Rep
Shee SK, Khandelwal J, Bairwa AK.
europepmc   +1 more source

Vagabond: bond-based parametrization reduces overfitting for refinement of proteins. [PDF]

Acta Crystallogr D Struct Biol, 2021
Ginn HM.
europepmc   +1 more source