ERF (LowerBound, UpperBound?) ERF (LowerBound; UpperBound?)

LowerBound

Number Number

The lower bound.

UpperBound

Number Number (optional)

The upper bound. If omitted, the function returns the error function integrated from 0 to LowerBound .

Returns

Number Number

The Gauss error function.

Returns the Gauss error function integrated from 0 to a lower bound, or between a lower bound and an upper bound.

The error function is closely related to the normal distribution. NORM.S.DIST (Number, TRUE) NORM.S.DIST (Number; TRUE) returns the same value as (1 + ERF (Number / SQRT (2))) / 2(1 + ERF (Number / SQRT (2))) / 2.

Examples

ERF (0.5)
ERF (0,5)

Returns roughly 0.52.

ERF (0, 0.5)
ERF (0; 0,5)

Returns roughly 0.52.

ERF (0.5, 1.5)
ERF (0,5; 1,5)

Returns roughly 0.45.

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