Results 11 to 20 of about 979,915 (162)

De-Moivre and Euler Formulae for Dual-Complex Numbers

Universal Journal of Mathematics and Applications, 2019
In this study, we generalize the well-known formulae of De-Moivre and Euler of complex numbers to dual-complex numbers. Furthermore, we investigate the roots and powers of a dual-complex number by using these formulae. Consequently, we give some examples
Mehmet Ali Güngör, Ömer Tetik
doaj   +9 more sources

On tertions and dual numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In a previous author's paper [1], the mathematical object called "tertion" was discussed. Some operations over tertions were introduced and their properties were studied. There, it was showed that the complex numbers and quaternions can be represented by
Krassimir T. Atanassov
doaj   +2 more sources

Parallel dual-numbers reverse AD

Journal of Functional Programming, 2022
Abstract 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 function.
TOM J. SMEDING, MATTHIJS I. L. VÁKÁR
openaire   +7 more sources

Application of slice regularity to functions of a dual-quaternionic variable

Karpatsʹkì Matematičnì Publìkacìï, 2021
In this paper, we present the algebraic properties of dual quaternions and define a slice regularity of a dual quaternionic function. Since the product of dual quaternions is non-commutative, slice regularity is derived in two ways.
Ji Eun Kim
doaj   +1 more source

The dative and instrumental dual in East Baltic

Vilnius University Open Series, 2022
The paper deals with two case-forms of East Baltic nominals, the dative and the instrumental dual. It summarises what is already known about these case-forms from Lithuanian and Latvian dialects as well as from Old Lithuanian sources. It is demonstrated
Eugen Hill
doaj   +1 more source

Dual number automatic differentiation as applied to two-group cross-section uncertainty propagation [PDF]

Nuclear Technology and Radiation Protection, 2021
This work addresses the problem of propagating uncertainty from group-wise neutron cross-sections to the results of neutronics diffusion calculations.
Bokov Pavel M., Botes Danniell, Groenewald Suzanne A.   +2 more
doaj   +1 more source

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, Maretta Sarkis, Djamal Lhiani   +2 more
doaj  

The use of dual number among the youth in Ohcejohka municipality

Sámi dieđalaš áigečála, 2022
In this article, I examine how much the use of dual number varies in the colloquial language of young people from Ohcejohka. For the study, I interviewed six young people aged 15–25.
Sierge Rasmus
doaj   +1 more source

On the Dual Symbolic 2-Plithogenic Numbers [PDF]

Neutrosophic Sets and Systems, 2023
The objective of this paper is to combine dual numbers with symbolic 2-plithogenic numbers in one algebraic structure called dual symbolic 2-plithogenic real numbers.
Khadija Ben Othman, Maretta Sarkis, Murat Ozcek   +2 more
doaj  

Old Latin bouerum and Iouerum from a Diachronic Point of View

Erga-Logoi, 2023
The aim of this article is to discuss two Old Latin aberrant genitive plural forms in -erum, namely bouerum «bouum» (Cato, Agr. 62) or Iouerum «Iouum» (Varro, Ling. VIII 74), on the basis of the morphological and semantic considerations.
Krzysztof Tomasz Witczak
doaj   +1 more source