What is error function ?

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In heat transfer, some formulae are expressed in error function. what is it ?

How do we get the equation for error function ?[?]
 
Isn't the error function e -x 2 ? Thats all I know....
 
Last edited:
Originally posted by On Radioactive Waves
Isn't the error function e -x 2 ? Thats all I know....
I've heard it's called imaginary error function in full.
 

Hurkyl

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Almost... erf(x) is:

erf(x) = (2 / sqrt(π)) ∫0..x e-x2 dx

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

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