Results 1 to 10 of about 3,084,967 (323)

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

Total 2-domination number in digraphs and its dual parameter [PDF]

Discussiones Mathematicae Graph Theory, 2023
Doost Ali Mojdeh, Babak Samadi
doaj   +2 more sources

On the number of Regge trajectories for dual amplitudes [PDF]

Journal of High Energy Physics
Regge poles connect the analytic structure of scattering amplitudes, analytically continued in angular momentum, to their high-energy limit in momentum space.
Christopher Eckner, Felipe Figueroa, Piotr Tourkine   +2 more
doaj   +2 more sources

Development of a method to determine electron density and effective atomic number of high atomic number solid materials using dual-energy computed tomography

Journal of Medical Physics, 2019
Aim: This study aims to develop a method using dual-energy computed tomography (DECT) to determine the effective atomic number and electron density of substances.
Avinav Bharati, Susama Rani Mandal, Arun Kumar Gupta, Amlesh Seth, Raju Sharma, Ashu S Bhalla, Chandan J Das, S Chatterjee, Pratik Kumar   +8 more
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

A denominator identity for affine Lie superalgebras with zero dual Coxeter number [PDF]

, 2012
Maria Gorelik, Shifra Reif
openalex   +2 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
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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