Results 61 to 70 of about 1,171 (108)

Bio-Inspired Network for Diagnosing Liver Steatosis in Ultrasound Images. [PDF]

open access: yesBioengineering (Basel), 2023
Yao Y, Zhang Z, Peng B, Tang J.
europepmc   +1 more source

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

open access: yesCommunications 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   +2 more
doaj   +1 more source

A New Generalization of Leonardo Sequences: Biperiodic Leonardo Sequence

open access: yesJournal 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

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

open access: yesMathematics
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   +4 more
doaj   +1 more source

Pell Leonardo numbers and their matrix representations

open access: yesJournal 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

The First Study of Mersenne--Leonardo Sequence

open access: yesCommunications 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   +1 more
doaj   +1 more source

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

open access: yesAlgorithms
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

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