Results 91 to 100 of about 1,148,545 (158)

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, P. Catarino
semanticscholar   +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. Catarino, E. Spreafico
semanticscholar   +1 more source

Generalized hordam numbers and the backward differences calculusliczby Horadama.

, 2011
W artykule wprowadzono pojęcie dwustronnego ciągu liczb Horadama n-tego rzędu. Za pomocą dyskretnego modelu nieklasycznego rachunku operatorów Bittnera opartego na różnicy wstecznej wyprowadzono wzór na ogólny wyraz ciągu będący odpowiednikiem wzoru ...
Wysocki, H.
core  

Sets Generated by Two-parametric Sequences

, 2014
У даній роботі ми розглядаємо числові послідовності, які задаються двома параметрами, а також алгебраїчні структури, породжені такими послідовностями. Ми ввели для кожної послідовності свою спеціальну операцію і довели, що множини, породжені арифметичною
Бамбенкова Юлія, Bambenkova Yuliia, Khvorostina Yurii Viacheslavovych, Хворостіна Юрій В'ячеславович   +3 more
core  

The study of mathematical definitions in the context of historical research : a didactic experiment involving didactic engineering and Fibonacci polynomial sequences

, 2017
O presente artigo apresenta uma abordagem de investigação no contexto da História da Matemática, envolvendo situações que visam oportunizar o entendimento da extensão, evolução e generalização de propriedades da Sequência de Fibonacci.
Alves, Francisco Régis Vieira, Silva, Rodrigo Sychocki da, Oliveira, Rannyelly Rodrigues de   +2 more
core  

Some properties of hyper-dual and bicomplex numbers with Leonardo number components

Bu tez beş bölümden oluşmaktadır. İlk bölümde tezin giriş kısmına ayrılmıştır. İkinci bölümde, hiper dual Leonardo sayıları ve bikompleks Leonardo sayılarını daha iyi anlayabilmemiz adına gerekli temel tanım ve kavramlara ayrılmıştır.
Turan, Murat
core  

The Treatment of Gastro-hepatic Dyspepsia at Vichy, Carlsbad, and Cheltenham. [PDF]

Proc R Soc Med, 1912
Monod G.
europepmc   +1 more source

Note on Binet's Inverse Factorial Series for μ(x)

Proceedings of the Edinburgh Mathematical Society, 1924
E. Copson
semanticscholar   +1 more source

Revisiting Piaget's Cognitive Principles among 4-7-year-old Children in the Kashmiri Population. [PDF]

Int J Clin Pediatr Dent
Shabnam M, Lone N, Sidiq M.
europepmc   +1 more source

Multi-perspective hotel operation process anomaly prediction method based on graph transformer and autoencoder. [PDF]

Front Artif Intell
Ma Y, Wu Y, Fang X.
europepmc   +1 more source