Error Function In Calculator
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Life Mathematics Science Practical Science Other Private Column Advanced Cal Some functions are limited now erfc calculator because setting of JAVASCRIPT of the browser is OFF. Home/ Special Function/ Error function Error function Calculator Calculates the error function erf(x) and complementary error function erfc(x). xrealnumber 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt Privacy Policy Terms of use FAQ Contact us © 2016 CASIO COMPUTER CO., LTD.
Function Calculator Erf(x) Error Function Calculator erf(x) x = Form accepts both decimals and fractions. The error function, denoted erf, is defined error function ti 89 by the integral erf(x) = (2/√π)∫xo e-t2 dt. Erf(x) is complimentary error function calculator closely related to the normal probability curve; the cumulative distribution function of a normally distributed error function calculator casio random variable X is CDF(X) = 0.5 + 0.5erf[(X-)/σ√2], where is the mean and σ is the standard deviation of the distribution. The error function http://keisan.casio.com/exec/system/1180573449 integral cannot be evaluated in terms of elemetary function, so one must use numerical algorithms. The error function is an odd function whose limit is -1 for negative values of x, and 1 for positive values of x. The function rapidly converges to its asympotic values; erf(3) = 0.99998 and erf(-3) http://www.had2know.com/academics/error-function-calculator-erf.html = -0.99998. Properties and Equations The values of x for which x = erf(x) are approximately 0.6175 and -0.6175. If you don't have access to an error function calculator such as the one above, you can approximate the function with the formula The error function can also be expressed with infinite series and continued fractions: You can approximate the inverse of the error function, erf-1(x), by inverting the approximation formula above. The inverse of erf has several interesting derivative and integral properties. © Had2Know 2010 How to Find the Great Circle Distance Between Two Points on a Sphere Gamma & Log Gamma Function Calculator Beta Function Calculator Weibull Distribution Calculator Digamma Function Calculator How to Test Whether Data is Normally Distributed How to Compute Normal Distribution Probabilities How to Read a Z-Score Table to Compute Probability Terms of Use | Privacy Policy | Contact Site Design by E. Emerson © 2010
here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site About Us Learn more about Stack Overflow http://math.stackexchange.com/questions/97/how-to-accurately-calculate-the-error-function-erfx-with-a-computer the company Business Learn more about hiring developers or posting ads with us Mathematics Questions Tags Users Badges Unanswered Ask Question _ Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute: Sign up Here's how it works: Anybody can ask a question Anybody can answer The best answers are voted up and rise error function to the top How to accurately calculate the error function erf(x) with a computer? up vote 9 down vote favorite 2 I am looking for an accurate algorithm to calculate the error function I have tried using [this formula] (http://stackoverflow.com/a/457805) (Handbook of Mathematical Functions, formula 7.1.26), but the results are not accurate enough for the application. statistics algorithms numerical-methods special-functions share|cite|improve this question edited Jan 10 '14 at 4:47 pnuts 1056 error function calculator asked Jul 20 '10 at 20:20 badp 6741225 You may want to take a look at python's code.google.com/p/mpmath or other libraries that advertise a "multiple precision" feature. Also, this may be a better question for stack overflow instead, since it's more of a computer science thing. –Jon Bringhurst Jul 20 '10 at 20:26 @Jon: Nope, I'm not interested in a library, there is no such library for the language I'm writing in (yet). I need the mathematical algorithm. –badp Jul 20 '10 at 20:49 Have you tried numerical integration? Gaussian Quadrature is an accurate technique –Digital Gal Aug 28 '10 at 1:25 GQ is nice, but with (a number of) efficient methods for computing $\mathrm{erf}$ already known, I don't see the point. –J. M. Aug 29 '10 at 23:07 add a comment| 4 Answers 4 active oldest votes up vote 9 down vote accepted I am assuming that you need the error function only for real values. For complex arguments there are other approaches, more complicated than what I will be suggesting. If you're going the Taylor series route, the best series to use is formula 7.1.6 in Abramowitz and Stegun. It is not as prone to subtractive cancellation as the series derived from integrating