Results 51 to 60 of about 31,545 (292)
On Lucas Sequences Computation
Int'l J. of Communications, Network and System Sciences, 2010 This paper introduces an improvement to a currently published algorithm to compute both Lucas "sister" sequences Vk and Uk. The proposed algorithm uses Lucas sequence properties to improve the running time by about 20% over the algorithm published in [1].
openaire +1 more source
Binomial Coefficients and Lucas Sequences
Journal of Number Theory, 2002 Let sequences \(\{u_n\}_{n\geq 0}\) and \(\{v_n\}_{n\geq 0}\) be defined by \(u_n= \frac{a^n-b^n}{a-b}\), \(v_n= a^n+b^n\) where \(a,b\) are integers such that \(a>|b|\). (Such sequences are Lucas sequences such that the associated quadratic polynomial has integer roots.
Flammenkamp, Achim, Luca, Florian
openaire +2 more sources
Gaussian Pell-Lucas polynomials [PDF]
, 2019 Yağmur, Tülay ( Aksaray, Yazar )In this paper, we first define the Gaussian Pell-Lucas polynomial sequence. We then obtain Binet formula, generating function and determinantal representation of this sequence.
Yağmur, Tülay
core +1 more source
On arithmetic progressions in Lucas sequences
J. Integer Seq., 2017 In this paper, we consider arithmetic progressions contained in Lucas sequences of first and second kind. We prove that for almost all sequences, there are only finitely many and their number can be effectively bounded. We also show that there are only a few sequences which contain infinitely many and one can explicitly list both the sequences and the ...
Lajos Hajdu +2 more
openaire +4 more sources
An analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence [PDF]
, 2019 Elliptic Curve Cryptography is a cryptography based on the algebraic structure of elliptic curves over finite fields. The security of Elliptic Curve Cryptography depends on discrete logarithms that is much more difficult to challenge at equivalent key ...
Naning @ Zin, Fatin Hana +4 more
core
FEBS Open Bio, EarlyView.Bioscience students were asked for their opinions on the value and teaching of skills. 204 responded that teamwork, time management and study skills are necessary to reach University, that scientific writing, research, laboratory and presentation skills are taught effectively during their studies, while other skills are gained inherently through study ...
Janella Borrell, Susan Crennell
wiley +1 more source
Harmonised LUCAS database classified by crop sequence type
, 2022 Assessing the benefits of crop diversification – a pillar of the agroecological transition – on a large scale requires a description of current crop sequences as a baseline, which is lacking at the scale of the European Union (EU).
Guilpart, Nicolas +2 more
core +1 more source
Transcripts enriched in codons that trigger P‐site tRNA‐mediated mRNA decay possess stable mRNA
FEBS Open Bio, EarlyView.PTMD codons were first described by Mendel et al. as mediators of an mRNA decay pathway dependent on the human protein CNOT3, homologous to yeast Not5. Our findings confirm that PTMD codons destabilize transcripts; however, unlike in yeast, the human pathway specifically targets and slightly destabilizes primarily stable mRNAs.
Rodolfo Lopes Carneiro +1 more
wiley +1 more source
, 2020 Special number sequences play important role in many areas of science. One of them named as Fibonacci sequence dates back to 820 years ago. There is a lot of research on Fibonacci numbers due to their relation with the golden ratio and also due to many ...
core +1 more source
Fibonacci-Like sequence associated with k-Pell, k-Pell-Lucas and Modified k-Pell sequences [PDF]
, 2017 Fibonacci sequence is a well known example of second order linear recurrence relatio. Besides Fibonacci numbers and their generalizations have many applications as well as interesting properties almost in every field of science such as in Physics ...
Wani, A. A. +5 more
core +1 more source