Results 141 to 150 of about 613 (205)

The Fibonacci and Lucas Sequences as Structural Codes of DNA

This white paper presents a visionary model linking the Fibonacci and Lucas sequences to the architecture of DNA, codons, amino acids, and chromosomes. Through recursive structures, digital root triplets, and dimensional resonance points, the study reveals deep numerical patterns embedded in biological systems.
openaire   +2 more sources

More on the Fascinating Characterizations of Mulatu's Numbers. [PDF]

F1000Res
Derso DN, Admasu AA.
europepmc   +1 more source

On Pell, Pell-Lucas, and balancing numbers. [PDF]

J Inequal Appl, 2018
Karadeniz Gözeri G.
europepmc   +1 more source

On the sums of powers of k-Fibonacci and k-Lucas sequences

, 2012
In this study, we investigate some proporties additive ofk-Fibonacci and k-Lucas sequences and obtain new identities on sums of powers these sequences.
Yazlık, Yasin, Yılmaz, Nazmiye, Taşkara, Necati   +2 more
openaire   +1 more source

Divisibility properties of Fibonacci and Lucas numbers

, 2009
Bu çalışma beş bölümden oluşmaktadır. Birinci bölümde; konuya ait literatür özeti verilmiştir, ikinci bölümde; tam sayılarda bölünebilme özelikleri verilmiştir. Üçüncü bölümde Fibonacci ve Lucas sayıları ve temel özelikleri verilmiştir.
Toy, Memnune
core  

Wandering Drunkards Walk after Fibonacci Rabbits: How the Presence of Shared Market Opinions Modifies the Outcome of Uncertainty. [PDF]

Entropy (Basel)
Maloumian N.
europepmc   +1 more source

From Lucas Sequences to Lucas Groups

, 2018
Lucas sequences, which generalize the famous Fibonacci sequence, have been studied extensively in the context of number theory and cryptography. Lucas groups, a more recently defined structure, are less studied.
Hansen, Kayson
core  

Bi-periyodik Fibonacci ve bi-periyodik Lucas dizilerinin periyotları üzerine

, 2017
Bu tez çalışmasında k-Lucas dizisi için Pisano periyodu ve bu periyot ile ilgili özellikler verilmiştir. Ayrıca k-Fibonacci ile k-Lucas dizilerinin 2^n moduna göre periyotları incelenmiştir.
GÜL ÖZKAN KIZILIRMAK
core  

Cube polynomial of Fibonacci and Lucas cube

, 2011
The cube polynomial of a graph is the counting polynomial for the number of induced $k$-dimensional hypercubes ($k\ge 0$). We determine the cube polynomial of Fibonacci cubes and Lucas cubes, as well as the generating functions for the sequences of these
Mollard, Michel, Klavzar, Sandi
core  

A new mathematical model of phyllotaxis to solve the genuine puzzle spiromonostichy. [PDF]

J Plant Res
Yonekura T, Sugiyama M.
europepmc   +1 more source