error function

Summary

error function is a special function^[1]. It draws 1,003 Wikipedia views per month (special_function category, ranking #2 of 11).^[2]

Key Facts

• error function's image is recorded as Error Function.svg^[3].
• error function's instance of is recorded as special function^[4].
• error function's instance of is recorded as entire function^[5].
• error function's GND ID is recorded as 4156112-0^[6].
• error function's NDL Authority ID is recorded as 00562553^[7].
• error function's Commons category is recorded as Error function^[8].
• error function's opposite of is recorded as probit^[9].
• error function's Freebase ID is recorded as /m/0180dy^[10].
• error function's described by source is recorded as Great Soviet Encyclopedia (1926–1947)^[11].
• error function's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics^[12].
• error function's different from is recorded as Gaussian integral^[13].
• error function's different from is recorded as standard normal cumulative distribution function^[14].
• error function's defining formula is recorded as \operatorname{erf} x = \frac{2}{\sqrt{\pi}} \int\limits_0^x \mathrm{e}^{-t^2} \mathrm{d}t^[15].
• error function's MathWorld ID is recorded as Erf^[16].
• error function's JSTOR topic ID is recorded as error-function^[17].
• error function's maintained by WikiProject is recorded as WikiProject Mathematics^[18].
• error function's Microsoft Academic ID is recorded as 202286095^[19].
• error function's in defining formula is recorded as \operatorname{erf} x^[20].
• error function's in defining formula is recorded as \pi^[21].
• error function's PlanetMath ID is recorded as ErrorFunction^[22].
• error function's OpenAlex ID is recorded as C202286095^[23].
• error function's power series expansion is recorded as \operatorname{erf}(z)= \frac{2}{\sqrt{\pi}}\sum_{n=0}^\infin\frac{(-1)^n z^{2n+1}}{n! (2n+1)} =\frac{2}{\sqrt{\pi}} \left(z-\frac{z^3}{3}+\frac{z^5}{10}-\frac{z^7}{42}+\frac{z^9}{216}-\ \cdots\right)^[24].

Why It Matters

error function draws 1,003 Wikipedia views per month (special_function category, ranking #2 of 11).^[2] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.^[25] It is known by 13 alternative names across languages and contexts.^[26]