What does |x| mean in the erf function?

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The discussion centers on the interpretation of the absolute value notation |x| within the error function (erf). Specifically, |x| represents the absolute value of x, which influences the calculation of erf(x) as x/|x| yields 1 for positive x and -1 for negative x. The equation presented, erf(x) = x/|x| * SQRT(1 - exp(-x²*(4/π + (ax)²) / (1 + ax²)), is noted as unfamiliar to some participants, indicating potential variations in the formulation of the error function.

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moonman239
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Here's the equation I'm using: erf(x) = x/|x| * SQRT(1 - exp(-x2*(4/pi + (ax)2) / (1 + ax2)
 
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moonman239 said:
Here's the equation I'm using: erf(x) = x/|x| * SQRT(1 - exp(-x2*(4/pi + (ax)2) / (1 + ax2)

|x| is the absolute value of x.

x/|x| is 1 for positive x, -1 for negative x.

(However, I don't recognize that equation for erf.)
 

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