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.
References in periodicals archive ?
1]{*} denotes the inverse complementary error function which can be evaluated by table look-up.
27], the complementary error function erfc(x) can be approximately expressed as erfc(x) [congruent to] [[summation].
By using the approximation of the complementary error function, a tightly closed-form approximate expression of BER is also derived to simplify the numerical calculation of the accurate BER.
The power series and asymptotic expansion of the complementary error function erfc (z) [46] are respectively of the forms
After integration by parts, it has the closed form formula related to special complementary error functions erfc (z) as follows:

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