The notion of pseudo-valuations (valuations) on a BCC-algebra is introduced by using the Buşneag’s model ([1–3]), and a pseudo-metric is induced by a pseudo-valuation on BCC-algebras. Conditions for a real-valued function to be an BCK-pseudo-valuation are provided. The fact that the binary operation in BCC-algebras is uniformly continuous is provided based on the notion of (pseudo) valuation.

Existing block cipher function designs have tended to deploy the secret bits in a specific and limited way. We generalize the role of the secret as truth tables of Boolean gates in a carefully designed logic schema. Our claims are: these reconfigurable functions are pseudo one-way and pseudo random functions. Such a function family is proposed using reconfigurable gates. Based on this function ...

In this paper, we show that the shifts of a pseudo-spline are linearly independent. This is stronger than the (more obvious) statement that the shifts of a pseudo-spline form a Riesz system. In fact, the linear independence of a compactly supported (refinable) function and its shifts has been studied in several areas of approximation and wavelet theory (see e.g. [4], [9], [10], [13], [14], [16]...

Background: In the present study, the photocatalytic (TiO2/UV) batch process has been used for the methyl orange (MO) degradation. Methods: In the catalyst range from 0.25 to 1.5 g/L, the optimum concentration of TiO2 was found to be 0.5 g/L. The kinetic behavior of MO degradation has been evaluated using the non-linear form of pseudo-first order and pseudo-second order models. Results: The g...

In this paper, the problem of best uniform polynomial approximation to a continuous function on a compact set X is approached through the partitioning of X and the definition of norms corresponding to the partition and each of the standard Lp norms 1 g p < oo. For computational convenience, a pseudo norm is defined corresponding to each partition. When the partition is chosen appropriately, the...

In this paper we consider the problem of robust estimation of the scale of the location residuals when the "true" underlying distribution of the data belongs to a contamination neighborhood of a parametric location-scale family. First we show that a scaled version of the l\tlADAM (median of absolute residuals about the median) is approximately most bias-robust within the class 0 Huber's proposa...

In a previous work a random matrix average for the Laguerre unitary ensemble, generalising the generating function for the probability that an interval (0, s) at the hard edge contains k eigenvalues, was evaluated in terms of a Painlevé V transcendent in σ-form. However the boundary conditions for the corresponding differential equation were not specified for the full parameter space. Here this...