The main goal of the article is to explore two unusual numeral systems, which alter radically our ideas on the positional numeral systems. We are talking on the numeral systems with irrational bases. The first of them is the binary (0,1) numeral system with the irrational base ...
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Research Article10.9734/BJMCS/2016/28262
The idea of statistical convergence of sequences in Hausdorff topological spaces was introduced and studied to some extend by Di Maio and Kocinac in [1]. In this paper we consider the concept of statistical continuity of functions and give a characterization of them by using sta...
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Research Article10.9734/BJMCS/2016/28254
The paper provides a solid foundation in the fundamentals of one and two-dimensional Fourier series and transforms, examines the representation of periodic non-sinusoidal signals which can include current, voltage, voice, image etc, as sum of infinite trigonometrically series in...
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Research Article10.9734/BJMCS/2016/28253
In this paper, we study the existence of global solution for a time delayed p-Laplace equation. By means of fixed point approach, we showed the existence and uniqueness of global weak solution.
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Research Article10.9734/BJMCS/2016/28485
Cognitive informatics helps in comprehending the software characteristics and its complexity measures can be used to predict critical information about testability of software system. In this paper, a cognitive complexity metric for C++ programming language is formulated. Since C...
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Research Article10.9734/BJMCS/2016/28515
People tend to convey emotions and show the sentiment either consciously or unconsciously while they speak or write. Many are under the common delusion that both sentiment and emotion are indistinguishable. Sentiment is the mental attitude originating from the feelings whereas em...
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Research Article10.9734/BJMCS/2016/25428
This paper contains several generalizations of the theorems for common fixed point of R. Kannan, S. K. Chatterjea and P. V. Koparde & B. B. Waghmode types of mappings. These generalizations are done by using a sequentially convergent mappings. Trough several examples, we have...
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Research Article10.9734/BJMCS/2016/27906
This paper analyses the dynamics of a fishery system in an aquatic environment that consists of two zones: water hyacinth zone and free zone. Fish harvesting is allowed in both the zones and fish migration is allowed from water hyacinth zone to free zone and not back. This paper...
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Research Article10.9734/BJMCS/2016/27141
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