š Error Function Calculator
Calculate erf(x) and erfc(x)
How to Use This Calculator
1
Enter Value of x
Type the value for which you want to calculate the error function
2
Calculate
See erf(x) and complementary error function erfc(x)
Error Function Formula
erf(x) = (2/āĻ) ā«āĖ£ eā»įµĀ² dt
Properties:
- erf(0) = 0
- erf(ā) = 1
- erf(-x) = -erf(x)
- erf(x) + erfc(x) = 1
Common Values:
- erf(1) ā 0.8427
- erf(ā2) ā 0.9545
- erf(2) ā 0.9953
About Error Function Calculator
The Error Function Calculator computes erf(x), which arises in probability, statistics, and partial differential equations. It's the probability that a normally distributed random variable with mean 0 and variance 0.5 falls in [-x, x]. The complementary error function erfc(x) = 1 - erf(x).
Applications
- Statistics: Cumulative distribution of normal distribution
- Engineering: Heat conduction and diffusion problems
- Physics: Quantum mechanics and optics
Frequently Asked Questions
What is the error function used for?
The error function appears in probability, statistics, and physics, particularly in normal distribution problems.
Is the error function the same as the normal CDF?
Related but not identical. For a standard normal variable Z, P(-x ā¤ Z ā¤ x) = erf(x/ā2).