Results 71 to 80 of about 1,168 (116)

Tricomplex Fibonacci Numbers: A New Family of Fibonacci-Type Sequences

Mathematics
In this paper, we define a novel family of arithmetic sequences associated with the Fibonacci numbers. Consider the ordinary Fibonacci sequence {fn}n∈N0 having initial terms f0=0, and f1=1 and recurrence relation fn=fn−1+fn−2(n≥2).
Eudes A. Costa, Paula M. M. C. Catarino, Francival S. Monteiro, Vitor M. A. Souza, Douglas C. Santos   +4 more
doaj   +1 more source

A New Generalization of Leonardo Sequences: Biperiodic Leonardo Sequence

Journal of Mathematics
In this study, we define a new type of number sequence called biperiodic Leonardo sequence by the recurrence relation Lena,b=aLen−1+Len−2+1 (for even n) and Lena,b=bLen−1+Len−2+1 (for odd n) with the initial conditions Le0a,b=Le1a,b=1.
Hasan Gökbaş
doaj   +1 more source

A new approach to Leonardo number sequences with the dual vector and dual angle representation

AIMS Mathematics
In this paper, we introduce dual numbers with components including Leonardo number sequences. This novel approach facilitates our understanding of dual numbers and properties of Leonardo sequences.
Faik Babadağ, Ali Atasoy
doaj   +1 more source

Plenary Abstracts Session & Oral Presentations

HemaSphere, Volume 9, Issue S1, June 2025.
wiley   +1 more source

Pell Leonardo numbers and their matrix representations

Journal of New Results in Science
In this study, we investigate Pell numbers and Leonardo numbers and describe a new third-order number sequence entitled Pell Leonardo numbers. We then construct some identities, including the Binet formula, generating function, exponential generating ...
Çağla Çelemoğlu
doaj   +1 more source

Poster Sessions

HemaSphere, Volume 9, Issue S1, June 2025.
wiley   +1 more source

The First Study of Mersenne--Leonardo Sequence

Communications in Advanced Mathematical Sciences
In this study, we introduce a new class of numbers, referred to as Modified Mersenne--Leonardo numbers. The aim of this paper is to define the Modified Mersenne--Leonardo sequence and investigate some of its properties, including the recurrence relation,
Paula Maria Machado Cruz Catarino, Eudes Antonio Costa   +1 more
doaj   +1 more source

Publication Only

HemaSphere, Volume 9, Issue S1, June 2025.
wiley   +1 more source

A Training Algorithm for Locally Recurrent Neural Networks Based on the Explicit Gradient of the Loss Function

Algorithms
In this paper, a new algorithm for the training of Locally Recurrent Neural Networks (LRNNs) is presented, which aims to reduce computational complexity and at the same time guarantee the stability of the network during the training.
Sara Carcangiu, Augusto Montisci
doaj   +1 more source

A Two-Moment Inequality with Applications to Rényi Entropy and Mutual Information. [PDF]

Entropy (Basel), 2020
Reeves G.
europepmc   +1 more source