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Dual Polynomials and Complex Dual Numbers for Analysis of Spatial Mechanisms
Volume 2B: 24th Biennial Mechanisms Conference, 1996Abstract Complex dual numbers w̌1=x1+iy1+εu1+iεv1 which form a commutative ring are for the first time introduced in this paper. Arithmetic operations and functions of complex dual numbers are defined. Complex dual numbers are used to solve dual polynomial equations.
Sean Thompson, Harry H. Cheng
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Coxeter and dual coxeter numbers
Communications in Algebra, 1998(1998). Coxeter and dual coxeter numbers. Communications in Algebra: Vol. 26, No. 1, pp. 147-153.
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Dual numbers and supersymmetric mechanics
Czechoslovak Journal of Physics, 2005We show that dual numbers, apart from the known practical applications to the description of a rigid body movements in three dimensional space and natural presence in abstract differential algebra, play a role in field theory and are related to supersymmetry as well. Relevant models are considered.
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Elliptic complex numbers with dual multiplication
Applied Mathematics and Computation, 2010Abstract Investigated is a number system in which the square of a basis number: (w)2, and the square of its additive inverse: (−w)2, are not equal. Termed W space, a vector space over the reals, this number system will be introduced by restating defining relations for complex space C , then changing a defining conjugacy relation from conj(z) +
John A. Shuster, Jens Köplinger
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Dual Numbers for Algorithmic Differentiation
2019"The cubic spline interpolation method, the Runge–Kutta method, and the Newton–Raphson method are extended to dual versions (developed in the context of dual numbers). This extension allows the calculation of the derivatives of complicated compositions of functions which are not necessarily defined by a closed form expression.
F. Peñuñuri +4 more
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Notes and Queries, 1901 Dual quaternion theory over HGC numbers
Journal of Discrete Mathematical Sciences & CryptographyKnowing the applications of quaternions in various fields, such as robotics, navigation, computer visualization and animation, in this study, we give the theory of dual quaternions considering Hyperbolic-Generalized Complex (HGC) numbers as coefficients via generalized complex and hyperbolic numbers.
Gürses, Nurten, Saçlı, Gülsüm Yeliz
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Martin's Axiom and the Dual Distributivity Number
MLQ, 2000We show that it is consistent that Martin's axiom holds, the continuum is large, and yet the dual distributivity number ℌ is κ1. This answers a question of Halbeisen.
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Dual Numbers and Topological Hjelmslev Planes
Canadian Mathematical Bulletin, 1983AbstractIn 1929 J. Hjelmslev introduced a geometry over the dual numbers ℝ+tℝ with t2 = Q. The dual numbers form a Hjelmslev ring, that is a local ring whose (unique) maximal ideal is equal to the set of 2 sided zero divisors and whose ideals are totally ordered by inclusion.
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2018
This is the first book focusing exclusively on fuzzy dual numbers. In addition to offering a concise guide to their properties, operations and applications, it discusses some of their advantages with regard to classical fuzzy numbers, and describes the most important operations together with a set of interesting applications in e.g.
Mora-Camino, Felix +1 more
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This is the first book focusing exclusively on fuzzy dual numbers. In addition to offering a concise guide to their properties, operations and applications, it discusses some of their advantages with regard to classical fuzzy numbers, and describes the most important operations together with a set of interesting applications in e.g.
Mora-Camino, Felix +1 more
openaire +1 more source