Results 291 to 300 of about 2,894,253 (306)

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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n-Dimensional dual complex numbers

Advances in Applied Clifford Algebras, 1998
The authors consider an \(n\)-dimensional generalization of the quadric algebra \(Q_{0,0}=\{z\mid z=x+qy\), \(q^2=0\), \(q\not\in {\mathbb{R}}\}= {\mathbb{R}}[x]/x^2\) of dual complex numbers. They introduce various basic algebraic and analytic notions, investigate the analyticity property and establish analogues to several classical results such as ...
Paul Fjelstad, Sorin G. Gal
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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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Martin's Axiom and the Dual Distributivity Number

MLQ, 2000
Let \(\kappa\) be a regular uncountable cardinal. The author proves the consistency of: MA holds, \(\mathfrak c = \kappa\) and \(\mathfrak H = \omega_1\). \(\mathfrak H\) is the dual distributivity number, (i.e., dual to \(\mathfrak h\)) defined by the following string of definitions: Let \(X, Y\) be partitions of \(\omega\).
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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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K-Loops Over Dual Numbers

Results in Mathematics, 1995
Das Interesse an \(K\)-Loops hängt mit der Theorie scharf zweifach transitiver Gruppen zusammen. Die diese koordinatisierenden Strukturen sind bezüglich ihrer Addition \(K\)-Loops mit einer scharf transitiven Automorphismengruppe. Es sei \(D\) die Algebra der dualen Zahlen über einem euklidischen Körper \(K\) und \(\varepsilon\) die Konjugation in \(D\)
Bokhee Im, Helmut Karzel
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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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Dual Numbers and Topological Hjelmslev Planes

Canadian Mathematical Bulletin, 1983
AbstractIn 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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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.
Şentürk, Gülsüm Yeliz, Gürses, Nurten   +1 more
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Dual, number in provincial German [PDF]

Notes and Queries, 1901
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