More recent Internet mentions of the use of erf e r f or erfc e r f c for solving differential equations include short-circuit power dissipation in electrical engineering, current as a function of time in …

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Aug 15, 2016 · My question is if I can find, or if there are known, substitutions for this non-elementary function in terms of elementary ones. In the sense above, i.e. the approximation is …

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Well, there's a definition of erf and a definition of the Normal CDF.. The relations, derivable by some routine calculations, are shown as to how to convert between them, and how to convert …

Apr 23, 2016 · How can I calculate the derivatives $$\\frac{\\partial \\mbox{erf}\\left(\\frac{\\ln(t)-\\mu}{\\sqrt{2}\\sigma}\\right)}{\\partial \\mu}$$ and $$\\frac{\\partial ...

e−t2 e t 2 to find the Taylor expansion of the ERF function is found at Robert Ghrist/UPenn's Calculus wiki.

The naïve (alternating) Maclaurin series is not really that numerically sound; I had already mentioned in my answer the modified series that has much better properties for computing …

Feb 2, 2019 · I got stuck with the derivative of the following function: $$\operatorname {erf} (\frac {\operatorname {logit} (\theta)-\mu} {\sqrt {2\sigma^2}})$$ with respect to $\theta$. Are there …

Apr 27, 2016 · But if you're talking about large x x that's the best bound on erf(x) e r f (x) that you're going to get. Seems to me what matters is how small 1 − erf(x) 1 e r f (x) is for large x x.