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MedCalc

ERFC function

Complementary error function. ERFC(x) returns the complementary error function integrated between x and infinity. The result is in the range (0, 2) and approaches 0 as x → +∞.

ERFC Complementary error function$$\operatorname{erfc}(x) = \frac{2}{\sqrt{\pi}} \int_x^{\infty} e^{-t^2}\,\mathrm dt = 1 - \operatorname{erf}(x)$$

The argument x can be a real number or a matrix. When it is a matrix, the function returns a matrix with the same dimensions and with the ERFC function applied to all elements.

Examples

ERFC(0) equals 1

ERFC(1) equals 0.1572992

Calculator

ERFC 0.15729920705

Graph

ERFC function

Related functions

External links