Quadratic irrationals posses a periodic continued fraction expansion. Much less is known about cubic irrationals. We do not even know if the partial quotients are bounded, even though extensive computations suggest they might follow Kuzmin’s probability law. Results are given for...
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Research Article10.9734/BJMCS/2014/9892
Decomposer functions in algebraic structures were introduced and studied in the paper ”Decomposer and associative functional equations” in 2007. If (G, ) is a group, and f : G → G is a map, then f is called a right [resp. left] decomposer if and only if f(f*(x)f(y)) = f(y) [resp....
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Research Article10.9734/BJMCS/2014/9521
A simple and direct process is derived to compute the determinant of any square matrix of high order. The approach involves successive applying the matrix order condensation algorithm. A computer program listing in MATLAB is included and examples for finding the determinant of a...
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Research Article10.9734/BJMCS/2014/10036
In this paper, the qualitative analysis methods of dynamical systems are used to investigate the periodic travelling wave solutions of ZK (2, 4,-2) equation. The phase portrait bifurcation of the travelling wave system corresponding to the equation is given. The explicit expressi...
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Research Article10.9734/BJMCS/2014/9650
We apply the recently developed sampling algorithm, called random orthogonal matrix (ROM) simulation by Ledermann et al. [3], to compute VaR of a market risk portfolio. Typically, the covariance matrix has a large influence on ROM VaR. But VaR, being a lower quantile of the portf...
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Research Article10.9734/BJMCS/2014/10346
Let G, R, and A be topological groups. Suppose that G and R act continuously on A, and G acts continuously on R. In this paper, we dene a partially crossed topological G - R-bimodule (A, μ), where μ: A→ R is a continuous homomorphism. Let Derc(G, (A, μ)) be the set of all (α, r)...
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Research Article10.9734/BJMCS/2014/8943
Aims: NOAA’s (National Oceanic and Atmospheric Administration) - LEO environmental satellites provide continuous coverage of Earth, supplying high-resolution global meteorological, oceanic and space observation data. These satellites are part of the international Search and Rescu...
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Research Article10.9734/BJMCS/2014/8605
We study an eccentric and elastically damped rotor from both a statical and dynamical point of view. The system, whose genesis is in the re-loading mechanism of an automatic watch, behaves like a generalized physical pendulum with the addition of eccentricity and damping. The sta...
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Research Article10.9734/BJMCS/2014/5549
In this research, numerical solutions of continuous optimal control problems governed by linear damping evolution with delay and real coefficients are presented. The necessary conditions obtained from the knowledge of calculus of variation for optimal control problem constrained...
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Research Article10.9734/BJMCS/2014/8131