We present the two-scale-transformation method which allows rigorous homogenisation of problems defined in locally periodic domains. This transforms such into domains order to facilitate passage limit. The idea transforming originates from evolving microstructure and has been applied several works. However, only substitute was proven, whereas itself just postulated (i.e. equivalence actual prob...

A fast encryption system (TTM) will be discussed in this article. TTM is an encryp-tion system based on multivariate tame automorphisms over some small eld. It is related to an open and diicult problem in mathematics. The TTM system is 100 or more faster than RSA 1024 and the corresponding ECC. In 11] and 12], the mathematical part of the system is provided. However, the presentation there is q...

In this paper, a procedure is reported that discuss how linear algebra can be used in image compression. The basic idea is that each image can be represented as a matrix. We apply linear algebra (QR ‎factorization and wavelet ‎transformation ‎algorithm‏s) on this matrix and get a reduced matrix out such that the image corresponding to this reduced matrix requires much less storage space than th...

A method allowing a desirable matrix spectrum to be constructed as an alternative to the method using matrix transformation to the Frobenius form is stated. It can be applied to implement control algorithms for technical systems without executing the variables transformation procedures that are needed for deriving a Frobenius matrix. The method can be used for simulation of systems with differe...

Model-driven architectures (MDA) separate the business or application logic from the underlying platform technology and represent this logic with precise semantic models. These models are supposed to span the entire life cycle of a software system and ease the software production and maintenance tasks. Consequently, tools will be needed that support these tasks. In this paper, we present a meth...

sinc-galerkin method based upon double exponential transformation for solving troesch's problem was given in this study. properties of the sinc-galerkin approach were utilized to reduce the solution of nonlinear two-point boundary value problem to same nonlinear algebraic equations, also, the matrix form of the nonlinear algebraic equations was obtained.the error bound of the method was fo...

in this article, we develop the sinc-galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. also several examples are solved to show the accuracy efficiency of the presented method. we compare the obtained numerical results with results of the other existing methods in...