What does |x| mean in the erf function?

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The discussion clarifies that in the equation for the error function erf(x), |x| represents the absolute value of x. The term x/|x| evaluates to 1 for positive x and -1 for negative x, influencing the function's behavior based on the sign of x. However, there is uncertainty regarding the specific equation presented for erf. Participants express confusion over the validity of the equation as it does not match commonly recognized forms of the erf function. Overall, the focus remains on understanding the role of |x| in the context of the error function.
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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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