Results 51 to 60 of about 1,029,498 (122)

N–3 Fatty Acid Supplementation in Mothers and Infants for Childhood Psychomotor and Cognitive Development: An Updated Systematic Review and Meta‐Analysis

Maternal &Child Nutrition, Volume 21, Issue 2, April 2025.
This systematic review and meta‐analysis showed that supplementation with n–3 polyunsaturated fatty acid during pregnancy or breastfeeding in mothers has increased language abilities. Furthermore, direct supplementation in term infants can improve intelligence in later childhood.
Yingyu Liu, Lijun Zhong, Zhouyang Sun, Yuan Feng, Qianlu Ding, Yujian Zhang   +5 more
wiley   +1 more source

Twisted rational zeros of linear recurrence sequences

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We introduce the notion of a twisted rational zero of a nondegenerate linear recurrence sequence (LRS). We show that any nondegenerate LRS has only finitely many such twisted rational zeros. In the particular case of the Tribonacci sequence, we show that 1/3$1/3$ and −5/3$-5/3$ are the only twisted rational zeros that are not integral zeros.
Yuri Bilu, Florian Luca, Joris Nieuwveld, Joël Ouaknine, James Worrell   +4 more
wiley   +1 more source

A Note on Bi-Periodic Leonardo Sequence

Armenian Journal of Mathematics
In this work, we define a new generalization of the Leonardo sequence by the recurrence relation $GLe_n=aGLe_{n-1}+GLe_{n-2}+a$ (for even $n$) and $GLe_n=bGLe_{n-1}+GLe_{n-2}+b$ (for odd $n$) with the initial conditions $GLe_0=2a-1$ and $GLe_1=2ab-1 ...
P. M. M. C. Catarino, E. Spreafico
semanticscholar   +1 more source

How smart is my child? The judgment accuracy of parents regarding their children's cognitive ability

Child Development, Volume 96, Issue 1, Page 122-140, January/February 2025.
Abstract Parents' judgment of their children's cognitive ability is important for providing adequate learning environments. This study examined parents' judgment accuracy with 2346 children (M = 8.94 years; 48.3% girls) and their parents (1283 mothers, 426 fathers, and 637 parental pairs).
Elena Mack, Vsevolod Scherrer, Franzis Preckel   +2 more
wiley   +1 more source

On the Leonardo quaternions sequence

Hacettepe Journal of Mathematics and Statistics
In the present work, a new sequence of quaternions related to the Leonardo numbers -- named the Leonardo quaternions sequence -- is defined and studied. Binet's formula and certain sum and binomial-sum identities, some of which derived from the mentioned
P. Beites, Paula Catarino
semanticscholar   +1 more source

Some properties and extended Binet’s formula for the class of bifurcating Fibonacci sequence

Ratio Mathematica
One of the generalizations of Fibonacci sequence is a -Fibonacci sequence, which is further generalized in several other ways, some by conserving the initial conditions and others by conserving the related recurrence relation.
Daksha Manojbhai Diwan, Devbhadra V Shah, Vandana R Patel   +2 more
doaj   +1 more source

On the Existence of Solutions of Diophantine Equations Related to Subbalancing Numbers

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we introduce a new sequence of subbalancing numbers by considering balancing numbers as the values of D in the Diophantine equations provided by subbalancing numbers. For this, first we prove that when the values of the positive integer D are chosen as balancing numbers, there exist integer solutions of the Diophantine equations that ...
Selin Sarı, Gül Karadeniz-Gözeri, Pramita Mishra   +2 more
wiley   +1 more source

On The Hyperbolic k-Mersenne And k-Mersenne-Lucas Octonions

Kragujevac Journal of Mathematics
In this paper, we introduce the hyperbolic k-Mersenne and k-Mersenne-Lucas octonions and investigate their algebraic properties. We give Binet’s formula and present several interrelations and some well-known identities such as Catalan identity, d’Ocagne ...
M. Uysal, Munesh Kumari, B. Kuloǧlu, K. Prasad, Engin Özkan   +4 more
semanticscholar   +1 more source

Copper Lacus Sequence Spaces Associated With Operator Ideals and Their Geometric Properties

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this research, we introduce the regular Copper Lucas matrix operator, which is based on the Copper Lucas sequence. We investigate the sequence spaces c0(Γ) and c(Γ), as well as lpΓ for 1 ≤ p ≤ ∞, all of which are linked to the newly defined regular Copper Lucas matrix Γ.
Shiva Shah, Bipan Hazarika, Awd Bkri, Runda A. A. Bashir, Mohammad W. Alomari   +4 more
wiley   +1 more source

A Brief Study on the k-Dimensional Repunit Sequence

Axioms
In this paper, we aim to introduce and investigate the bidimensional, tridimensional and k-dimensional extension of Repunit numbers, with a particular focus on their recurrence relations, key properties, and various sum identities.
Eudes A. Costa, Paula M. M. C. Catarino, Paulo J. M. Vasco, Francisco R. V. Alves   +3 more
doaj   +1 more source