Results 11 to 20 of about 1,079,354 (307)
On tertions and dual numbers [PDF]
Notes on Number Theory and Discrete MathematicsIn 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
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Transmathematica, 2019 International audienceThe class of dual number meadows is introduced. By definition this class is a quasivariety. Dual number meadows contain a non-zero element the square of which is zero. These structures are non-involutive and coregular.
Bergstra, J.A., Bergstra, Jan Aldert
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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
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On the number of self-dual rooted maps
European Journal of Combinatorics, 2014 We compute the number of self-dual rooted maps with nn edges. We also compute the number of 2-connected and 3-connected self-dual rooted maps, and show that the latter are counted by the Fine ...
de Mier, Anna, Noy, Marc, Kitaev, Sergey
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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. Its
Tom Smeding, Matthijs Vákár
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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
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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
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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
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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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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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