Results 31 to 40 of about 16,304 (189)

LINEARLIZATION OF GENERALIZED FIBONACCI SEQUENCES [PDF]

Korean Journal of Mathematics, 2014
Summary: In this paper, we give linearization of generalized Fibonacci sequences \(\{g_n\}\) and \(\{q_n\}\), respectively, defined by Gupta et al. and Edson et al. and use this result to give the matrix form of the \(n\)-th power of a companion matrix of \(\{g_n\}\) and \(\{q_n\}\). Then we re-prove the Cassini's identity for \(\{g_n\}\) and \(\{q_n\}\
Jang, Young Ho, Jun, Sang Pyo
openaire   +2 more sources

Generalized Natural Density DF⁡(Fk) of Fibonacci Word

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
This paper explores profound generalizations of the Fibonacci sequence, delving into random Fibonacci sequences, k-Fibonacci words, and their combinatorial properties.
Abdullah, D., Hamoud, J.
doaj   +1 more source

On Recursive Hyperbolic Fibonacci Quaternions

Communications in Advanced Mathematical Sciences, 2021
Many quaternions with the coefficients selected from special integer sequences such as Fibonacci and Lucas sequences have been investigated by a great number of researchers.
Ahmet Daşdemir
doaj   +1 more source

Safety, Tolerability, and Pharmacokinetics of GMDTC for Cadmium Poisoning: A Randomized Phase 1a/1b Trial

Clinical Pharmacology &Therapeutics, EarlyView.
Cadmium exposure causes serious health consequences; however, there is no clinically approved antidote for cadmium poisoning. This Phase 1a/1b trial aimed to investigate safety, tolerability, and pharmacokinetics of Sodium (S)‐2‐(dithiocarboxylato((2S,3R,4R,5R)‐2,3,4,5,6‐pentahydroxyhexyl) amino)‐4‐(methylthio) butanoate (GMDTC), a novel chelating ...
Xuefeng Ren, Wei Hu, Xiaobin Deng, Rong Ma, Fang Pei, Xushen Chen, Xuemei Wang, Jixin Tang, Yan Lai, Shangming Pan, Zhiyong Zhong, Sheng Fu, Huamin Yuan, Juan Yuan, Chuntao Huang, Yuan Zeng, Xiaodong Ying, Guanghui Dong, Jinxin Zhang, Jinyuan Zhao, Kangguang Lin, Xiaojiang Tang   +21 more
wiley   +1 more source

Diophantine equations with Lucas and Fibonacci number coefficients [PDF]

Notes on Number Theory and Discrete Mathematics
Fibonacci and Lucas numbers are special number sequences that have been the subject of many studies throughout history due to the relations they provide.
Cemil Karaçam, Alper Vural, Bilal Aytepe, Ferhat Yıldız   +3 more
doaj   +1 more source

Structure and Computation

Noûs, EarlyView.
ABSTRACT It is a truism of mathematics that differences between isomorphic number systems are irrelevant to arithmetic. This truism is deeply rooted in the modern axiomatic method and underlies most strands of arithmetical structuralism, the view that arithmetic is about some abstract number structure.
Balthasar Grabmayr
wiley   +1 more source

How do random Fibonacci sequences grow?

, 2006
We study two kinds of random Fibonacci sequences defined by $F_1=F_2=1$ and for $n\ge 1$, $F_{n+2} = F_{n+1} \pm F_{n}$ (linear case) or $F_{n+2} = |F_{n+1} \pm F_{n}|$ (non-linear case), where each sign is independent and either + with probability $p ...
A. Denjoy, Benoît Rittaud, C. Sire, D. Rosen, D. Viswanath, H. Furstenberg, H. Volkmer, Thierry de la Rue, W. Magnus, Élise Janvresse   +9 more
core   +3 more sources

Generalized Fibonacci sequences in groupoids [PDF]

Advances in Difference Equations, 2013
Abstract In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents. Using the notion of Smarandache-type P-algebra, we obtain several relations on groupoids which are derived from generalized Fibonacci ...
Kim, Hee, Neggers, J, So, Keum
openaire   +1 more source

Non‐Subtractive Arterial Spin Labeling‐Based (NSASL) Renal Magnetic Resonance Angiography (MRA): Development and Clinical Feasibility Evaluation

Journal of Magnetic Resonance Imaging, Volume 63, Issue 5, Page 1435-1447, May 2026.
ABSTRACT Background Non‐contrast renal MR angiography (MRA) is valuable for patients who cannot receive contrast agents or when avoiding radiation is desired. However, the conventional inflow inversion recovery (IFIR) method is limited by incomplete background suppression, venous contamination, and motion sensitivity.
Yulin Wang, Ye Yuan, Kun Yan, Jichang Zhang, Jie Zeng, Shengyang Niu, Shiying Ke, Chendie Yao, Bin Chen, Qi Dai, Liping Guo, Jianjun Zheng, Thomas Meersmann, Chengbo Wang   +13 more
wiley   +1 more source

Exploring Generalized $2^k$-Fibonacci Sequence: A New Family of the Fibonacci Sequence

Communications in Advanced Mathematical Sciences
The focus of this paper is to study the $2^k$–Fibonacci sequence, which is defined for all integers $2^k$, and its connections with both the Fibonacci and the Fibonacci-Lucas sequences.
Elis Gardel Costa Mesquista, Eudes Antonio Costa, Paula Maria Machado Cruz Catarino   +2 more
doaj   +1 more source