Results 11 to 20 of about 2,644,466 (335)

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,
Nicolas Behr, Giuseppe Dattoli, Ambra Lattanzi, Silvia Licciardi   +3 more
doaj   +6 more sources

On dual and hyper-dual $k$-Leonardo numbers [PDF]

Mathematica Bohemica
We describe new classes of dual and hyper-dual numbers whose coefficients consist of the $k$-Leonardo numbers. We will call these numbers dual $k$-Leonardo numbers and hyper-dual $k$-Leonardo numbers, respectively.
Tülay Yağmur
doaj   +3 more sources

Dual-complex generalızed k-horadam numbers [PDF]

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021
The purpose of this paper is to provide a broad overview of thegeneralization of the various dual-complex number sequences, especially inthe disciplines of mathematics and physics.
Yazlık, Yasin, Köme, Cahit, Köme, Sure, Cahit KÖME, Yasin YAZLİK, Sure KÖME   +5 more
core   +8 more sources

Parallel dual-numbers reverse AD

Journal of Functional Programming, 2022
Where dual-numbers forward-mode automatic differentiation (AD) pairs each scalar value with its tangent value, dual-numbers reverse-mode AD attempts to achieve reverse AD using a similarly simple idea: by pairing each scalar value with a backpropagator ...
Smeding, Tom J., Vákár, Matthijs I.L., Sub Software Technology   +2 more
core   +11 more sources

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, Gülsüm Yeliz Şentürk, Salim Yüce   +2 more
doaj   +3 more sources

The apeirogon and dual numbers

Symmetry: Culture and Science, 2021
: The richness, diversity, connection, depth and pleasure of studying symmetry continue to open doors. Here we report a connection between Coxeter's Apeirogon and the geometry associated with pictorial space, parabolic rotation and dual ...
Brasili, Simone, Gielis, Johan, Simone Brasili, Johan Gielis   +3 more
core   +3 more sources

On dual hyperbolic generalized Fibonacci numbers

Indian Journal of Pure and Applied Mathematics, 2019
In this paper, we introduce the generalized dual hyperbolic Fibonacci numbers. As special cases, we deal with dual hyperbolic Fibonacci and dual hyperbolic Lucas numbers.
Yüksel Soykan
core   +5 more sources

A new approach to hyper dual numbers with tribonacci and tribonacci-Lucas numbers and their generalized summation formulas [PDF]

Journal of Innovative Applied Mathematics and Computational Sciences
Motivated by the definition of Tribonacci quaternions, we define hyper-dual numbers whose components involve Tribonacci and Tribonacci-Lucas numbers. We refer to these new numbers as hyper-dual Tribonacci numbers and hyper-dual Tribonacci-Lucas numbers,
Ahmad Ali Mehrad, Mansoor Kakar Mirwais
doaj   +2 more sources

Simultaneous dual true random numbers generator [PDF]

Dyna, 2016
This paper details the design and implementation of a simultaneous dual true random numbers generator using only one laser and a digital signal processing system with a DE0 Nano FPGA.
Josue Aaron Lopez Leyva, Arturo Arvizu-Mondragón   +1 more
doaj   +2 more sources

Automatic differential kinematics of serial manipulator robots through dual numbers

TESEA, Transactions on Energy Systems and Engineering Applications
Dual Numbers are an extension of real numbers known for its capability of performing exact automatic differentiation of one-valued functions theoretically without error approximation.
Luis Antonio Orbegoso Moreno, Edgar David Valverde Ramírez   +1 more
doaj   +3 more sources