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In this research, we try to show the major features of prolog which make it a strong expressive language about writing the expert systems and the traditional languages lacks them as Pascal language. We also provide expert system, the purpose of it is the Inventory Control by apply the Fixed-Order Quantity Model, and we clearified concept of the static and dynamic data in Prolog. Finally, we compared between the databases in prolog and some of their quires with Access and SQL. Expert systems are considered as one of the main applications of artificial intelligence, which are known as knowledge based systems. And the expert systems are computer applications which embody some non-algorithmic expertise for solving certain types of problems. For example, the problems which provide advice, analysis, classification, diagnostic, explanation, teaching, or designing…etc.
we constructed a continuation predictor- corrector algorithm that solves constrained optimization problems. Smooth penalty functions combined with numerical continuation, along with the use of the expanded Lagrangian system, were essential compone nts of the algorithm. An improvement of this algorithm was published, which dealt with the linear algebra in the corrector part of the algorithm.
Algorithm of fitting curves based on piecewise function composed of a set of third degree polynomials is presented in this paper. These polynomials are applicable to successive intervals of the given data points. This algorithm applied to the meth od of univariate interpolation, which developed by the author [٦]. This method depends on the values of the first order derivative at the data points.
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