The information age has enabled organizations to gather large volumes of data. However, the usefulness of this data is negligible if “meaningful information” cannot be extracted from it. Data mining answers this need. The problem of privacy-preserving data mining has become important recently because of the increasing ability to store personal data and the sophistication of data mining algorith...

and Applied Analysis 3 system. Secondly, do the solution operators for fractional evolution equations have the perturbation properties analogous to those for the C0-semigroup? For evolution equations of integer order, perturbation properties play a significant role in monotone iterative technique; see 24 . Our paper copes with the above difficulties, and the new features of this paper mainly in...

Considering qualitative behavior of a non-linear dynamical system often leads to first simplifying the differential equations or finding their normal forms. A perturbation technique for computing normal forms is presented. This technique, associated with the method of multiple scales, can be used to systematically find a unique form for a given set of differential equations. The technique is di...

Maintain confidentiality, privacy and security research in data mining (PPDM) is one of the biggest trends. Recent advances in data collection, data dissemination and related technologies have inaugurated a new era of research where existing data mining algorithms should be reconsidered from a different point of view, this of privacy preservation. We propose a simple PCA based transformation ap...

Basic assumption and accuracy of complex permittivity measurement by perturbation technique are proposed to be verified by FDTD simulation of experimental cavity with QuickWave-3D. Determination of dielectric constant and loss factor of a piece of wet movie-film in rectangular resonator is shown to be very sensitive to film position and approved to be valid for low contents of water.

The problem of output regulation for nonlinear time-varying control systems under uncertainties is one of particular interest for real-time control system design. There is a broad set of practical problems in the control of aircraft, robotics, mechatronics, chemical industry, electrical and electro-mechanical systems where control systems are designed to provide the following objectives: (i) ro...

The paper treats a question of controller design for aircraft pitch attitude in the presence of uncertain aerodynamics. The presented design methodology guarantees desired pitch attitude transient performance indices by inducing of two-time-scale motions in the closedloop system where the controller dynamics is a singular perturbation with respect to the system dynamics. Stability conditions im...

Although perturbation techniques are widely applied to analyze nonlinear problems in science and engineering, they are however so strongly dependent on small parameters appeared in equations under consideration that they are restricted only to weakly nonlinear problems. For strongly nonlinear problems which don’t contain any small parameters, perturbation techniques are invalid. So, it seems ne...

In this paper, we suggest and analyze some iterative methods for solving nonlinear equations using the homotopy perturbation technique coupled with system of equations. In addition, we show that the homotopy polynomial is exactly the the Adomian polynomial and this establishes the equivalence between the homotopy perturbation and decomposition techniques. Our method of establishing the equivale...