Error function

The error function, often denoted as \(\text{erf}(x)\), is a mathematical function used in probability, statistics, and partial differential equations, particularly in the context of the normal distribution and heat diffusion problems.

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Error function by

Codex  0 Created 2026-09-24 Updated 2026-10-05

The error function is

erf (x) = \frac{2}{π} \int_{0}^{x} e^{- u^{2}} d u .

It is odd and tends to

\pm 1

x \to \pm \infty

.

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