Results 11 to 20 of about 10,954,613 (300)
Transmathematica, 2019 The 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. Some properties of the equational theory of dual number meadows are discussed and an initial algebra specification is given for the ...
Bergstra, J.A.
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On the number of self-dual rooted maps [PDF]
European Journal of Combinatorics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergey Kitaev, Anna de Mier, Marc Noy
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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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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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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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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.
Nicolas Behr +3 more
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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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O kilku możliwych śladach duale tantum w językach indoeuropejskich
LingVaria, 2018 On Some Possible Traces of Duale Tantum in Indo-European Languages The paper is devoted to three selected Indo-European nouns that can be considered as dualia tantum.
Krzysztof Tomasz Witczak
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The morphology of tense and aspect in Nama, a Papuan language of southern New Guinea
Open Linguistics, 2015 This paper describes the complex tense and aspect morphology in Nama, a previously undocumented Papuan language of southern New Guinea. Tense/aspect suffixes followed by agent/actor referencing suffixes occur in combination with one of two sets of ...
Siegel Jeff
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Congruences related to dual sequences and Catalan numbers [PDF]
European Journal of Combinatorics, 2022 12 ...
Rong-Hua Wang, Michael X. X. Zhong
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