Results 41 to 50 of about 1,056,912 (212)

Some geometric properties of the Padovan vectors in Euclidean 3-space [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2023
Padovan numbers were defined by Stewart (1996) in honor of the modern architect Richard Padovan (1935) and were first discovered in 1924 by Gerard Cordonnier.
Serdar Korkmaz, Hatice Kuşak Samancı
doaj   +1 more source

New results for the Fibonacci sequence using Binet's formula

open access: yesInternational Mathematical Forum, 2018
Reza Farhadian, R. Jakimczuk
semanticscholar   +2 more sources

Challenges in Providing Parenting Support for Parents With Intellectual Disabilities in Japan. [PDF]

open access: yesJ Appl Res Intellect Disabil
ABSTRACT Background While there is now considerable research on parenting by persons with intellectual disabilities, most of this research comes from Western countries. A dearth of information exists about families headed by parents with intellectual disabilities from other countries.
Tanaka E   +3 more
europepmc   +2 more sources

On Hybrid Numbers with Gaussian Leonardo Coefficients

open access: yesMathematics, 2023
We consider the Gaussian Leonardo numbers and investigate some of their amazing characteristic properties, including their generating function, the associated Binet formula and Cassini identity, and their matrix representation. Then, we define the hybrid
Nagihan Kara, Fatih Yilmaz
doaj   +1 more source

Matrix Structure of Jacobsthal Numbers

open access: yesJournal of Function Spaces, 2021
The main scenario of this paper is to introduce a new sequence of Jacobsthal type having a generalized order j. Some basic properties will be studied concerning it. Also, we will establish the generalized Binet formula.
Abdul Hamid Ganie, Mashael M. AlBaidani
doaj   +1 more source

One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers

open access: yesAnnales Mathematicae Silesianae, 2023
In this paper, we introduce one-parameter generalization of dual-hyperbolic Jacobsthal numbers – dual-hyperbolic r-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, and d’Ocagne identities. Moreover,
Bród Dorota   +2 more
doaj   +1 more source

Clinical and Developmental Outcomes After 50 Years of Newborn Bloodspot Screening for Classical Galactosaemia in the Republic of Ireland. [PDF]

open access: yesJIMD Rep
ABSTRACT Classical Galactosaemia (CG) is an inborn error of carbohydrate metabolism. In untreated neonates, CG leads to a multi‐organ toxicity with life‐threatening symptoms. Newborn Screening for CG began in the Republic of Ireland in 1972. In Ireland, two forms of neonatal screening occur. High‐risk infants are fed lactose‐free/galactose‐free formula
Pereira D   +18 more
europepmc   +2 more sources

On Generalized Tribonacci Octonions

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
In this paper, we introduced generalized tribonacci octonion sequence which is a generalization of third order recurrence relations. We investigate many identities which are created by using generalized tribonacci sequence.
Arzu Özkoç Öztürk
doaj   +1 more source

The mathematics of generalized Fibonacci sequences: Binet's formula and identities [PDF]

open access: yesMathematica Moravica
This article considers a generalized Fibonacci sequence {Vn} with general initial conditions, V0 = a, V1 = b, and a versatile recurrence relation Vn = pVn-1 + qVn-2, where n ≥ 2 and a, b, p and q are any non-zero real numbers. The generating function and
Verma K.L.
doaj   +1 more source

On Hybrid Hyper k-Pell, k-Pell–Lucas, and Modified k-Pell Numbers

open access: yesAxioms, 2023
Many different number systems have been the topic of research. One of the recently studied number systems is that of hybrid numbers, which are generalizations of other number systems.
Elen Viviani Pereira Spreafico   +2 more
doaj   +1 more source

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