Results 11 to 20 of about 2,894,253 (306)
On hyper-dual generalized Fibonacci numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2020 In this paper, we define hyper-dual generalized Fibonacci numbers. We give the Binet formulae, the generating functions and some basic identities for these numbers.
KOPARAL, SİBEL, ÖMÜR, NEŞE
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An Introduction to The Dual Symbolic 3-Plithogenic And 4-Plithogenic Numbers [PDF]
Neutrosophic Sets and Systems, 2023 The objective of this paper is to use dual numbers with symbolic 3-plithogenic and 4-plithogenic numbers in one numerical system called dual symbolic 3-plithogenic/4-plithogenic numbers.
Khadija Ben Othman +2 more
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On invariants dual to the Bass numbers [PDF]
Proceedings of the American Mathematical Society, 1997 Let R R be a commutative Noetherian ring, and let M M be an R R -module. In earlier papers by Bass (1963) and Roberts (1980) the Bass numbers μ i ( p , M ) \mu _i(p,M) were defined for all primes p p
Jinzhong Xu, Edgar E. Enochs
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Construction of dual-generalized complex Fibonacci and Lucas quaternions
Karpatsʹkì Matematičnì Publìkacìï, 2022 The aim of this paper is to construct dual-generalized complex Fibonacci and Lucas quaternions. It examines the properties both as dual-generalized complex number and as quaternion. Additionally, general recurrence relations, Binet's formulas, Tagiuri's (
G.Y. Şentürk, N. Gürses, S. Yüce
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Investigating generalized quaternions with dual-generalized complex numbers [PDF]
Mathematica Bohemica, 2023 We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values $\alpha$, $\beta$ and $\mathfrak{p}$.
Nurten Gürses +2 more
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Dual Numbers and Operational Umbral Methods [PDF]
Axioms, 2019 Dual numbers and their higher-order version are important tools for numerical computations, and in particular for finite difference calculus. Based on the relevant algebraic rules and matrix realizations of dual numbers, we present a novel point of view, embedding dual numbers within a formalism reminiscent of operational umbral calculus.
Behr, Nicolas +3 more
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A Dual Entropy-Based Digital Random Number Generator
IEEE Access, 2021 This paper introduces the dual-entropy method for oscillator-based digital random number generators (RNG). The standard model for elaborating jitter-based RNG is expanded to account for the sampling time uncertainty.
Hikmet Seha Ozturk, Salih Ergun
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Dual of bass numbers and dualizing modules [PDF]
Communications in Algebra, 2016 Let $R$ be a Noetherian ring and let $C$ be a semidualizing $R$-module. In this paper, by using relative homological dimensions with respect to $C$, we impose various conditions on $C$ to be dualizing. First, we show that $C$ is dualizing if and only if there exists a Cohen-Macaulay $R$-module of type 1 and of finite G$ _C $-dimension.
Mohammad Rahmani, Abdoljavad Taherizadeh
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