Results 271 to 280 of about 4,452,319 (321)
Some of the next articles are maybe not open access.
The Groups of Two by Two Matrices in Double and Dual Numbers, and Associated Möbius Transformations
Advances in Applied Clifford Algebras, 2017Möbius transformations have been studied over the field of complex numbers. In this paper, we investigate Möbius transformations over two rings which are not fields: the ring of double numbers and the ring of dual numbers. We give types of continuous one-
Khawlah A. Mustafa
semanticscholar +1 more source
Application of Hyper-Dual Numbers to Multibody Kinematics
, 2016Hyper-dual numbers (HDNs) are applied in this paper to multibody kinematics. First, the hyper-dual angle that encompasses a body's position, orientation, as well as its velocity, is defined as an element of the hyper-dual transformation matrix. Then, the
A. Cohen, M. Shoham
semanticscholar +1 more source
Dual Numbers, Weighted Quivers, and Extended Somos and Gale-Robinson Sequences
, 2017We investigate a general method that allows one to construct new integer sequences extending existing ones. We apply this method to the classic Somos-4 and Somos-5, and the Gale-Robinson sequences, as well as to more general class of sequences introduced
V. Ovsienko, S. Tabachnikov
semanticscholar +1 more source
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
openaire +2 more sources
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.
openaire +2 more sources
The Development of Hyper-Dual Numbers for Exact Second-Derivative Calculations
, 2011The complex-step approximation for the calculation of derivative information has two significant advantages: the formulation does not suffer from subtractive cancellation errors and it can provide exact derivatives without the need to search for an ...
J. Fike, J. Alonso
semanticscholar +1 more source
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.
openaire +2 more sources
Interaction of dual sweeping impinging jets at different Reynolds numbers
The Physics of Fluids, 2018Dual sweeping impinging jets emerging from a synchronized pair of fluidic oscillators were experimentally measured using time-resolved particle image velocimetry in a water tank.
X. Wen +3 more
semanticscholar +1 more source