error function


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error function

[′er·ər ‚fəŋk·shən]
(mathematics)
The real function defined as the integral from 0 to x of e -t 2 dt or e t 2 dt, or the integral from x to ∞ of e -t 2 dt.
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in paper [6] have proposed complementary error function approximation in the form of
Table-7: For qe (mgg-1), the values of four different error functions of isotherm models of BB3 on Gum arabic/PVA/Alginate
TABLE 1: Solutions for fractional space Cattaneo-Vernotte equation (52) for different values of [phi]; R indicates the real part and erfc([alpha]) denotes the error function defined in (8).
The value of the error function is generally less for the Nelson-Siegel model than for the Svensson model.
Considering the form of the error function provided in Equation (5), for p output nodes and m input-output pairs, the error becomes:
The back propagation algorithm is used to find a local minimum of the error function.
The problem is inherent in the definition of the corresponding error function
To achieve this goal, an error function is constructed as follows:
The size of weight changes can be determined by learning rate [alpha] (values between 0 and 1), and the weights are adjusted according to the formula until the convergence of error function is reached:
To simplify the numerical calculation of the accurate BER, a tight closed-form approximate expression is also derived by utilizing the theoretical BER and approximation of the complementary error function.