## Contents |

math.ldexp(x, i)¶ **Return x class="pre">* (2**i). Two Circles Can Have At Most One Common Chord? (IMO) Nest a string inside an array n times Why aren't there direct flights connecting Honolulu and London? The error function and its approximations can be used to estimate results that hold with high probability. math.tanh(x)¶ Return the hyperbolic tangent of x. 9.2.6. http://auctusdev.com/error-function/inverse-error-function-c.html **

**If x is zero, returns (0.0, 0), otherwise 0.5 <= abs(m) < 1. Avoids loss of precision by tracking multiple intermediate partial sums: >>> sum([.1, .1, .1, .1, .1, .1, .1, .1, .1, .1]) 0.9999999999999999 >>> fsum([.1, .1, .1, .1, .1, .1, .1, .1, Created using Sphinx 1.2.2. Scipy.org Docs SciPy v0.14.0 Reference Guide Special functions (scipy.special) index modules next previous scipy.special.erf¶ scipy.special.erf(z) = ¶ Returns the error function of complex argument. This page may be out of date. http://stackoverflow.com/questions/31266249/command-for-inverse-erf-function-in-python **

**References [R200]http://en.wikipedia.org/wiki/Error_function [R201]Milton Abramowitz and Irene A. Will they need replacement? math.radians(x)¶ Convert angle x from degrees to radians. 9.2.5. **

- Wolfram Language» Knowledge-based programming for everyone.
- On platforms that support signed zeros, copysign(1.0, -0.0) returns -1.0.
- R. (March 1, 2007), "On the calculation of the Voigt line profile: a single proper integral with a damped sine integrand", Monthly Notices of the Royal Astronomical Society, 375 (3): 1043–1048,
- The Q-function can be expressed in terms of the error function as Q ( x ) = 1 2 − 1 2 erf ( x 2 ) = 1 2
- New in version 2.6.
- Browse other questions tagged python python-2.7 python-3.x numpy or ask your own question.
- See also[edit] Related functions[edit] Gaussian integral, over the whole real line Gaussian function, derivative Dawson function, renormalized imaginary error function Goodwin–Staton integral In probability[edit] Normal distribution Normal cumulative distribution function, a
- Johnson, Faddeeva W function implementation.

**math.isinf(x)¶ Return True if x is a positive or negative infinity, and False otherwise. Please donate. math.gcd(a, b)¶ Return the greatest common divisor of the integers a and b. Module 'scipy' Has No Attribute 'special' For |z| < 1, we have erf ( erf − 1 ( z ) ) = z {\displaystyle \operatorname ζ 2 \left(\operatorname ζ 1 ^{-1}(z)\right)=z} . **

**math.log2(x)¶ Return the base-2 logarithm of x. Python Erf math.acosh(x)¶ Return the inverse hyperbolic cosine of x. The IEEE 754 special values of NaN, inf, and -inf will be handled according to IEEE rules. CPython implementation detail: The math module consists mostly of thin wrappers around the platform C math library functions. **

**Trigonometric functions¶ math.acos(x)¶ Return the arc cosine of x, in radians. Numpy Erfc Sign In Username or Email Password Forgot password Enter your email here Reset Password Enter your new password here Report Your message Insert/edit link CloseEnter the destination URL URL Link Text Created using Sphinx 1.2.2. Fortran 77 implementations are available in SLATEC. **

**New in version 2.6. https://www.quora.com/What-is-the-command-to-calculate-the-inverse-erf-of-a-function-in-a-Python-and-which-module-is-needed-to-import Constants Previous topic 9.1. numbers -- Numeric abstract base classes Next topic 9.3. cmath -- Mathematical functions for complex numbers This Page Report a Bug Show Source Navigation index Scipy Erf Monthly 62, 439-440, 1955. Python Math Erf math.log(x[, base])¶ With one argument, return the natural logarithm of x (to base e). **

**It is defined as 2/sqrt(pi)*integral(exp(-t**2), t=0..z). this content For example, to set a tolerance of 5%, pass rel_tol=0.05. If L is sufficiently far from the mean, i.e. μ − L ≥ σ ln k {\displaystyle \mu -L\geq \sigma {\sqrt {\ln {k}}}} , then: Pr [ X ≤ L Step-by-step Solutions» Walk through homework problems step-by-step from beginning to end. Scipy Erfinv **

**Wolfram|Alpha» Explore anything with the first computational knowledge engine. math.asinh(x)¶ Return the inverse hyperbolic sine of x. H. http://auctusdev.com/error-function/inverse-error-function-vba.html math.atanh(x)¶ Return the inverse hyperbolic tangent of x. **

**Comp. 23 (107): 631–637. Scipy Special M. http://ab-initio.mit.edu/Faddeeva Previous topic scipy.special.multigammaln Next topic scipy.special.erfc © Copyright 2008-2009, The Scipy community. **

**This is usually more accurate than log(x, 10). LCCN64-60036. Trigonometric functions¶ math.acos(x)¶ Return the arc cosine of x, in radians. Complementary Error Function math.modf(x)¶ Return the fractional and integer parts of x. **

**When the error function is evaluated for arbitrary complex arguments z, the resulting complex error function is usually discussed in scaled form as the Faddeeva function: w ( z ) = math.log10(x)¶ Return the base-10 logarithm of x. The error and complementary error functions occur, for example, in solutions of the heat equation when boundary conditions are given by the Heaviside step function. check over here A NaN will not be returned from any of the functions above unless one or more of the input arguments was a NaN; in that case, most functions will return a **

**Definite integrals are given by (11) (12) (13) (14) (OEIS A087197 and A114864), where is the Euler-Mascheroni constant and is the natural logarithm of 2. The following functions are provided by this module. See [2]. ^ http://hackage.haskell.org/package/erf ^ Commons Math: The Apache Commons Mathematics Library ^ a b c Cody, William J. (1969). "Rational Chebyshev Approximations for the Error Function" (PDF). Applied Mathematics Series. 55 (Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first ed.). **

**The current implementation will raise ValueError for invalid operations like sqrt(-1.0) or log(0.0) (where C99 Annex F recommends signaling invalid operation or divide-by-zero), and OverflowError for results It is an odd function since (3) It has the special values (4) (5) (6) It is apparently not known if (7) (OEIS A069286) can be written in closed form. ISBN 978-0-486-61272-0. The error function at +∞ is exactly 1 (see Gaussian integral). **

**math.tanh(x)¶ Return the hyperbolic tangent of x. 9.2.6. math.gamma(x)¶ Return the Gamma function at x. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization. Go: Provides math.Erf() and math.Erfc() for float64 arguments. **

**Note that the Python expression x % y may not return the same result. math.tan(x)¶ Return the tangent of x radians. 9.2.4. Google search: Google's search also acts as a calculator and will evaluate "erf(...)" and "erfc(...)" for real arguments. D: A D package[16] exists providing efficient and accurate implementations of complex error functions, along with Dawson, Faddeeva, and Voigt functions. **

**On some non-Windows builds, the underlying C library uses extended precision addition and may occasionally double-round an intermediate sum causing it to be off in its least significant bit. This is used to "pick apart" the internal representation of a float in a portable way. Taylor series[edit] The error function is an entire function; it has no singularities (except that at infinity) and its Taylor expansion always converges. New in version 2.7. **

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