Results 61 to 70 of about 1,240,504 (163)

Sum of Squares of Mulatu Numbers That Are Powers of 2

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this work, we fully characterize all nonnegative integer solutions (n, m, a) to the Diophantine equation Mn2+Mm2=2a, where Mkk≥0 is the Mulatu sequence. The argument employs Matveev’s explicit lower bound for linear forms in logarithms of algebraic numbers together with the reduction technique of Dujella and Pethö to obtain an absolute upper bound ...
Ahmed Gaber, Mohiedeen Ahmed, Walid Wannes, Shikha Binwal   +3 more
wiley   +1 more source

Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices

Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015
It is a hot topic that circulant type matrices are applied to networks engineering. The determinants and inverses of Tribonacci circulant type matrices are discussed in the paper. Firstly, Tribonacci circulant type matrices are defined. In addition, we show the invertibility of Tribonacci circulant matrix and present the determinant and the inverse ...
Li Liu, Zhaolin Jiang, Zidong Wang
wiley   +1 more source

On Jacobsthal and Jacobsthal-Lucas hybrid numbers [PDF]

, 2018
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their ...
Szynal-Liana, Anetta, Włoch, Iwona
core  

A Hybrid Matrix–Based Encoding Scheme With Error Detection via Third‐Order Recurrences

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we propose a novel encoding–decoding algorithm based on third‐order linear recurrence sequences and their associated matrix representations. In particular, third‐order Jacobsthal and third‐order Jacobsthal–Lucas matrix sequences are combined with Padovan and Perrin matrix sequences to construct a hybrid block–based coding scheme.
Sukran Uygun, Smritijit Sen
wiley   +1 more source

VanderLaan Circulant Type Matrices

Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015
Circulant matrices have become a satisfactory tools in control methods for modern complex systems. In the paper, VanderLaan circulant type matrices are presented, which include VanderLaan circulant, left circulant, and g‐circulant matrices. The nonsingularity of these special matrices is discussed by the surprising properties of VanderLaan numbers. The
Hongyan Pan, Zhaolin Jiang, Shen Yin
wiley   +1 more source

Properties and Generalizations of Altered Jacobsthal Numbers Squared and their GCD Sequences

Science and Technology Indonesia
This paper investigates two types of altered Jacobsthal numbers, namely G(2)J(n) (a) and H(2)J(n) (a), which are obtained by adding or subtracting a specific value, denoted with {a}, from the square of the nth Jacobsthal numbers. These numbers exhibit a
Fikri Koken, Halime Ergun, Yusuf Uzun
doaj   +1 more source

On Fuzzy Jacobsthal and Jacobsthal-Lucas Numbers

European Journal of Pure and Applied Mathematics
This study examines the generalization of the classical Jacobsthal and Jacobsthal-Lucas numbers to fuzzy numbers. Using the triangular membership function and the α-cut method, a recurrence relation is given for newly defined fuzzy numbers, and formulas for the general terms of fuzzy sequences are derived.
Büşra Nelik, Serpil Halici
openaire   +1 more source

‘A wonderful day and a wonderful crossing!’: Internment (im)mobilities, ambivalence, and the residual tourist gaze in Second World War Britain

Transactions of the Institute of British Geographers, Volume 50, Issue 3, September 2025.
Short Abstract 1940 saw the mass internment of so‐called ‘enemy aliens’ within Britain; this meant that innocent civilians were incarcerated in camps across the country, particularly within the tourist spaces of the Isle of Man. We interrogate how the holiday—as a geography of ideas, spaces, practices movements and sensibilities—became a frame of ...
Michael Holden, Peter Adey
wiley   +1 more source

The Adjacency Matrix of One Type of Directed Graph and the Jacobsthal Numbers and Their Determinantal Representation

Journal of Applied Mathematics, 2012
Recently there is huge interest in graph theory and intensive study on computing integer powers of matrices. In this paper, we consider one type of directed graph. Then we obtain a general form of the adjacency matrices of the graph.
Fatih Yılmaz, Durmuş Bozkurt
doaj   +1 more source

Qualitative Behavior of Bidimensional Rational Fuzzy Difference Equations

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
This paper aims to extend the research conducted by Yalçınkaya et al. on one‐dimensional dynamics, specifically, their work titled “Qualitative behavior of a higher‐order fuzzy difference equation.” The purpose of this study is to expand the analysis of fuzzy difference equations into a bidimensional framework.
Najmeddine Attia, Ahmed Ghezal, Alberto Fiorenza   +2 more
wiley   +1 more source