In this manuscript, the well-known Bergman nonlinear mathematical model of the plasma glucose/insulin interaction is adopted and a semi closed-loop optimal technique is proposed for the correction of hyperglycemia in diabetic subjects. Computer simulations are used to evaluate the effectiveness of the proposed technique and to demonstrate its superiority in controlling hyperglycemia over other ...

This work presents a theoretical analysis for the Black–Scholes equation. Given a terminal condition, the analytical solution of the Black–Scholes equation is obtained by using the Adomian approximate decomposition technique. The mathematical technique employed in this work also has significance in studying some other problems in finance theory.

In this manuscript, the reliability of a robotic system has been analyzed using the available data (containing vagueness, uncertainty, etc). Quantification of involved uncertainties is done through data fuzzification using triangular fuzzy numbers with known spreads as suggested by system experts. With fuzzified data, if the existing fuzzy lambda–tau (FLT) technique is employed, then the comput...

These notes are a short introduction to the pinch technique. We present the one-loop calculations for basic QCD Green's functions. The equivalence between the pinch technique and the background field method is explicitly shown at the one-loop level. We review the absorptive pinch technique in the last sections. These lectures are a compilation of famous papers on this subject and are prepared f...

This paper describes an extension of maximum likelihood linear regression (MLLR) to hidden semi-Markov model (HSMM) and presents an adaptation technique of phoneme/state duration for an HMM-based speech synthesis system using HSMMs. The HSMM-based MLLR technique can realize the simultaneous adaptation of output distributions and state duration distributions. We focus on describing mathematical ...

I present a technique for constructing self-similar curves from smooth base curves. The technique is similar to that used in Iterated Function Systems like the Koch curve, except that it does not require a piecewise linear path in order to induce a set of similarities. I explain the mathematical machinery behind the technique, describe a practical numerical approximation that can be implemented...

A fast and accurate technique for modelling and simulation of clock jitter in continuous-time sigma-delta (SD) modulators is introduced. In addition to its high speed compared to the traditional jitter simulation method, the proposed technique is still continuous-time based, which is more convenient than discrete-time based jitter modelling suggested in other publications. The mathematical prin...

These notes are a short introduction to the pinch technique. We present the oneloop calculations for basic QCD Green’s functions. The equivalence between the pinch technique and the background field method is explicitly shown at the one-loop level. We review the absorptive pinch technique in the last sections. These lectures are a compilation of relevant papers on this subject and are prepared ...

Application of the method of the principal components at the analysis of bearing ability of the wheel pair of the car. In this article it is given proof of the method of the principal components to the analysis of calculation of the stress-deformed condition of the wheel pair of the freight car. The statistical result estimation method allows to get mathematical models for researching parameter...