# 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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Assuming sources of random error have been reduced by study design, the remaining source of error is the systematic error function h, meaning that the RM is not commutable with MP6.
Let us now show the relationship between this function and other standard special functions (integral of error function)  as error function and cumulative distribution function for normal distribution in the context of its use.
Applicability of linear Dubinin-Radushkevich model was found better than nonlinear due to small value of error function (except ARE).
(4) Let W denote the weights matrix that consists of all weights and [phi] = {W | [D.sup.V.sub.W][E.sub.L2] = 0} be the v-order stationary point set of the error function. One necessary condition is that [phi] is a finite set.
Caption: Figure 5: Error function fitting curve for OPC-[H.sub.2]O.
Our experiment demonstrates that the levels of [+ or -]EV images can be estimated using the Gauss error function of the average level with an exposure value.
The training of the ciphertext in the training set is performed, the ciphertext is input and the corresponding result is output, and the result is XORed with the original plaintext, and the weight is continuously corrected according to the error function.
where [e.sub.N](t) = x(t) - [x.sub.N](t) and [[epsilon].sub.N](t) = y(t) - [y.sub.N](t) are the error functions.
The minimization of this error function is equivalent to the basic statistical maximum likelihood principle only if the probability density function (pdf) of outputs is normal .
An adaptive filter is called a self-modifying digital filter because it is a structure with a linear filter which has a transfer function precise by different parameters and it is used to adjust those parameters permitting to an optimization algorithm that can adjusts its coefficients in order to minimize an error function stated as like the cost function, is a difference between the desired or reference signal and the output of the adaptive filter.
The error function of [L.sub.1] norm is [rho](x) = [absolute value of x], and [phi](x) = sign(x).

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