🔍

首页Home › 数学工具Math

∫ 误差函数 erf / erfcError Function Calculator

erf(x) = 2/√π ∫₀ˣ e^(-t²) dt,用高精度级数/连分式计算,并给出 erfc = 1 - erf。本地处理。erf(x) = 2/√π ∫₀ˣ e^(-t²) dt via high-precision series / continued fraction, plus erfc = 1 - erf. Processed locally.

使用说明与常见问题How-to & FAQ

「误差函数 erf / erfc」是什么?What is the Error Function Calculator tool?

erf(x) = 2/√π ∫₀ˣ e^(-t²) dt,用高精度级数/连分式计算,并给出 erfc = 1 - erf。本地处理。erf(x) = 2/√π ∫₀ˣ e^(-t²) dt via high-precision series / continued fraction, plus erfc = 1 - erf. Processed locally.

如何使用「误差函数 erf / erfc」?How do I use the Error Function Calculator tool?

填写 x,即可得到误差函数 erf(x) 和互补误差函数 erfc(x) = 1 − erf(x)。结果会随输入实时更新。Enter x to get the error function erf(x) and the complementary erfc(x) = 1 − erf(x). The result updates as you type.

与正态分布?Normal distribution?

Φ(z) = (1 + erf(z/√2)) / 2。Φ(z) = (1 + erf(z/√2)) / 2.

能举个计算实例吗?Can you show a worked example?

例如在「误差函数 erf / erfc」中填 x = 0.5,结果区显示:erf(x):0.520499877813;erfc(x):0.479500122187For example, entering x = 0.5 in the Error Function Calculator gives: erf(x): 0.520499877813; erfc(x): 0.479500122187

哪些输入会被检查?Which inputs are validated?

「误差函数 erf / erfc」会检查这些输入——「x」:必须填写;绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示,不会给出数字。The Error Function Calculator checks its inputs — "x": required; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.

有哪些选项可以调整?What options can I adjust?

「误差函数 erf / erfc」的设置:「x」默认 0.5。每次生成结果都按当前设置处理。Settings in the Error Function Calculator — "x" default 0.5. The result always uses the current settings.

计算精度如何?How precise are the results?

「误差函数 erf / erfc」使用 JavaScript 双精度浮点数(约 15–16 位有效数字);极大或极小的数值可能存在精度误差。The Error Function Calculator uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.

「误差函数 erf / erfc」免费吗?需要注册吗?Is the Error Function Calculator free? Do I need an account?

「误差函数 erf / erfc」完全免费,无需注册或安装,打开网页即可使用,手机和电脑都能用;输入的内容只在你的浏览器本地处理。The Error Function Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.

相关工具Related tools

Γ 伽马函数 Γ(x)Gamma Function Calculator📐 黄金矩形Golden Rectangle Calculator〰️ 双曲函数 sinh / cosh / tanhHyperbolic Functions Calculator⬠ 不规则多边形面积(坐标法)Irregular Polygon Area Calculator🔮 幻方生成器Magic Square Generator🧮 矩阵幂 AⁿMatrix Power Calculator🧮 矩阵的秩(含行最简形)Matrix Rank Calculator🧮 矩阵的迹Matrix Trace Calculator📊 负二项分布Negative Binomial Distribution Calculator🔁 可重复排列Permutations with Repetition Calculator📈 相对标准偏差 RSD(变异系数)Relative Standard Deviation Calculator🌐 球面方程Sphere Equation Calculator

← 全部工具All tools