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How do we get the equation for error function ?[?]

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- Thread starter Saint
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- #1

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How do we get the equation for error function ?[?]

- #2

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Isn't the error function e ^{-x 2 } ? Thats all I know....

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- #3

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- #4

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I've heard it's called imaginary error function in full.Originally posted by On Radioactive Waves

Isn't the error function e^{-x 2 }? Thats all I know....

- #5

Hurkyl

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erf(x) = (2 / sqrt(π)) ∫

It's immediate use is that it's the integral of a gaussian distribution, so it's directly applicable to statistical problems.

More generally, I understand that a lot of nonelementary functions can be expressed in terms of combinations of elementary functions and error functions, so erf expands the expressive power of closed forms.

- #6

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It comes up when solving some differential equations, and it is thus good to have tabulated.

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