Results 121 to 130 of about 8,528 (138)

Fuzzy Dual Numbers

2017
In this chapter we introduce a special class of dual numbers, fuzzy dual numbers representative of symmetrical fuzzy numbers.
Mora-Camino, Felix, Nunes Cosenza, Carlos Alberto   +1 more
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Computations of Dual Numbers in the Extended Finite Dual Plane [PDF]

19th Design Automation Conference: Volume 2 — Design Optimization; Geometric Modeling and Tolerance Analysis; Mechanism Synthesis and Analysis; Decomposition and Design Optimization, 1993
Abstract The numerical computational aspects of dual numbers in the CH programming language are presented in this paper. Dual is a built-in data type in CH. Dual numbers and dual metanumbers are described in the extended dual plane and extended finite dual plane.
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Subdiagrams equal in number to their duals

Algebra Universalis, 1986
In the middle 1930's, the early days of combinatorial lattice theory, it had been conjectured thatin any finite modular lattice the number of join-irreducible elements equals the number of meetirreducible elements. The conjecture was settled in 1954 by R. P. Dilworth in a remarkable combinatorial generalization.
Ivan Rival, Ivan Rival, Klaus Reuter, Klaus Reuter   +3 more
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Investigation of Dual-Complex Fibonacci, Dual-Complex Lucas Numbers and Their Properties [PDF]

Advances in Applied Clifford Algebras, 2017
In this study, we define the dual complex Fibonacci and Lucas numbers. We give the generating functions and Binet formulas for these numbers. Moreover, the well-known properties e.g. Cassini and Catalan identities have been obtained for these numbers.
Güngör, Mehmet Ali, Azak, Ayşe Zeynep
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Dual Polynomials and Complex Dual Numbers for Analysis of Spatial Mechanisms

Volume 2B: 24th Biennial Mechanisms Conference, 1996
Abstract 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, 2005
We 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, 2010
Abstract 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, number in provincial German [PDF]

Notes and Queries, 1901
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Dual quaternion theory over HGC numbers

Journal of Discrete Mathematical Sciences & Cryptography
Knowing 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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