The existence of Paley-Hadamard (4t − 1, 2t − 1, t − 1) difference sets provides a platform for solving the equation δ¯δ = n in the cyclotomic ring Z[ζ4t−1], where ζ4t−1 is root of unity, n > 1 and t > 1 are integers. We look at cases where ⟨n⟩ = ⟨δ⟩⟨¯δ⟩ in Z[ζ4t−1] but δ¯δ...
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Research Article10.9734/BJMCS/2016/9173
We consider piecewise defined differential dynamical systems which can be analysed through symbolic dynamics and transition matrices. We have a continuous regime, where the time flow is characterized by an ordinary differential equation (ODE) which has explicit solutions, and the...
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Research Article10.9734/BJMCS/2016/27863
Empirical forecasting is the science of using past data to predict the future, without physical modeling. For these, probability functions are used, normally bell-shaped Gaussian or Gaussian- like. Taleb in his book the Black Swan introduces for this purpose the concept of scalab...
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Research Article10.9734/BJMCS/2016/28107
The concept of fuzzy versions of Simpson’s rule and Runge-Kutta method of order four are introduced. In this paper, the solution of fuzzy ordinary differential equation of the first order by Simpson’s rule and Runge-Kutta method of order four is presented without converting them...
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Research Article10.9734/BJMCS/2016/26060
This short paper offers an example of possibly fruitful interactions between modal logic and number theory. In the paper, Conway's remark that p and p.2p + 1 can both be prime numbers is formulated as a formula of modal logic and then analyzed for its decidability.
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Research Article10.9734/BJMCS/2016/27581
Let us call a ring R to be right permeable if for any α ∈ R; Rα = 0, then αR = 0. Left permeable and permeable rings are defined analogously. These rings are generalized reversible rings with a privileging role that permeability inherited in its several extensions where reversib...
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Research Article10.9734/BJMCS/2016/27803
In this paper the author(s) present derivations for the mean and variance of the nth power transformation of the error component of the multiplicative time series model. as a general rule to any power transformation. Some of the published transformations like the square root and...
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Research Article10.9734/BJMCS/2016/27246
Fast image retrieval has been a fundamental problem in the area of image processing for a long time. This paper proposes a rapid image retrieval algorithm by improving the conventional nearest neighbor search through the implementation of vector product quantization and inverted...
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Research Article10.9734/BJMCS/2016/27865
Recently, a new symbolic algorithm for solving comrade linear systems is given by Karawia [A. A. Karawia, Symbolic algorithm for solving comrade linear systems based on a modi fied Stair-Diagonal Approach, Appl. Math. Lett. 2013; 26:913-918.]. This paper introduces different nume...
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Research Article10.9734/BJMCS/2016/27679
A set S of vertices of a graph G = (V, E) with no isolated vertex is a total dominating set if every vertex of V(G) is adjacent to some vertex in S. The total domination number is the minimum cardinality of a total dominating set of G. In this paper, we study the total domination...
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Research Article10.9734/BJMCS/2016/27588