3 resultados para Modification of the aromatic ring

em Bulgarian Digital Mathematics Library at IMI-BAS


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2000 Math. Subject Classification: 26A33; 33E12, 33E30, 44A15, 45J05

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A modification of the Nekrassov method for finding a solution of a linear system of algebraic equations is given and a numerical example is shown.

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We introduce a modification of the familiar cut function by replacing the linear part in its definition by a polynomial of degree p + 1 obtaining thus a sigmoid function called generalized cut function of degree p + 1 (GCFP). We then study the uniform approximation of the (GCFP) by smooth sigmoid functions such as the logistic and the shifted logistic functions. The limiting case of the interval-valued Heaviside step function is also discussed which imposes the use of Hausdorff metric. Numerical examples are presented using CAS MATHEMATICA.