Results 41 to 50 of about 1,044,414 (185)

On Bicomplex Pell and Pell-Lucas Numbers

open access: yesCommunications in Advanced Mathematical Sciences, 2018
In this paper, bicomplex Pell and bicomplex Pell-Lucas numbers are defined. Also, negabicomplex Pell and negabicomplex Pell-Lucas numbers are given. Some algebraic properties of bicomplex Pell and bicomplex Pell-Lucas numbers which are connected between ...
Fügen Torunbalcı Aydın
doaj   +1 more source

The Hybrid Numbers of Padovan and Some Identities

open access: yesAnnales Mathematicae Silesianae, 2020
In this article, we will define Padovan’s hybrid numbers, based on the new noncommutative numbering system studied by Özdemir ([7]). Such a system that is a set involving complex, hyperbolic and dual numbers.
Mangueira Milena Carolina dos Santos   +3 more
doaj   +1 more source

The Romantic Discovery of Radiolaria in the Ocean

open access: yesJournal of Eukaryotic Microbiology, Volume 73, Issue 1, January/February 2026.
ABSTRACT Radiolaria are unicellular marine organisms (protists) that have been drifting in oceanic plankton for hundreds of millions of years. These mineral architects can build extraordinarily complex skeletons, which fascinated and puzzled naturalists observing water samples through rudimentary microscopes.
Johan Decelle
wiley   +1 more source

Dual Proximal Groups Concisely Representing Complex Hosoya Triangles

open access: yesAdvances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül   +3 more
wiley   +1 more source

GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS

open access: yesJournal of Amasya University the Institute of Sciences and Technology, 2020
In this paper, we present generalized identities of bivariate Fibonacci polynomials and bivariate Lucas polynomials and related identities consisting even and odd terms. Binet’s formula will employ to obtain the identities.
Jaya Bhandari   +2 more
doaj  

Random Approaches to Fibonacci Identities [PDF]

open access: yes, 2000
No abstract provided in this ...
Benjamin, Arthur T.   +3 more
core   +1 more source

Examining the association between cognitive ability and emotional problems across childhood using a genetically informative design: could there be a causal relationship?

open access: yesJournal of Child Psychology and Psychiatry, Volume 66, Issue 12, Page 1875-1888, December 2025.
Background Emotional problems co‐occur with difficulties in verbal and nonverbal cognitive ability, yet the pathways underlying their association remain poorly understood: It is unclear whether effects may be causal, and to what extent they may run from cognition to emotion, or vice versa.
Meredith X. Han   +3 more
wiley   +1 more source

Lucas sequence, its properties and generalisation [PDF]

open access: yes, 2013
Fibonacci AND Lucas sequences are most interesting among recurrent sequences.
Barik, Biswajit
core  

Comparison of Adulthood Outcomes in Autism Spectrum Disorder With and Without Regression: A Population‐Based Birth Cohort Study

open access: yesAutism Research, Volume 18, Issue 11, Page 2334-2344, November 2025.
ABSTRACT The long‐term outcomes of regression in autism spectrum disorder (ASD) remain unclear. Previous evidence suggests that autistic individuals with regression have poorer adulthood outcomes across various indices than those without regression. We compared two groups—those with and without regression in ASD—among 168 participants from a population‐
Satoru Minami   +4 more
wiley   +1 more source

A simplified Binet formula for k-generalized Fibonacci numbers

open access: yes, 2009
We present a particularly nice Binet-style formula that can be used to produce the k-generalized Fibonacci numbers (that is, the Tribonaccis, Tetranaccis, etc). Furthermore, we show that in fact one needs only take the integer closest to the first term of this Binet-style formula to generate the desired sequence.
Dresden, Gregory P. B., Du, Zhaohui
openaire   +3 more sources

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