erf
erf(x)
Compute the error function of x, defined by
$\frac{2}{\sqrt{\pi}} \int_0^x e^{-t^2} dt$
for arbitrary complex x.
Examples
julia> A = rand(10,5)
b = rand(10)
x = A \ b
B = A' * A
erf(eigvals(B)) - 2x.^2 + 4x - 6
5-element Array{Float64,1}:
-6.29936
-3.67082
-8.87201
-3.20876
-4.82683-
Compute the error function for a real number:
julia> x = 1.5; julia> erf(x) 0.9661051464753108This example calculates the error function value for the real number
x = 1.5. -
Compute the error function for a complex number:
julia> x = 2 + 3im; julia> erf(x) -0.4518627618776061 + 2.2873552871788423imIt computes the error function value for the complex number
x = 2 + 3im. - Compute the error function for an array of numbers:
julia> x = [0.5, 1.0, 1.5]; julia> erf.(x) 3-element Array{Float64,1}: 0.5204998778130465 0.842700792949715 0.9661051464753108This example calculates the error function values for each element of the array
x.
Common mistake example:
julia> x = "abc";
julia> erf(x)
ERROR: MethodError: no method matching erf(::String)In this example, the argument x is of type String, which is not a valid input for the erf function. Make sure to pass the correct type of argument to the erf function, such as a real or complex number.
See Also
abs2, beta, binomial, ceil, cell, cross, ctranspose, ctranspose!, cummin, cumprod, cumprod!, cumsum, cumsum!, cumsum_kbn, div, divrem, eigfact, eigfact!, eigmin, eps, erf, erfc, erfcinv, erfcx, erfi, erfinv, exp, exp10, exp2, expm1, exponent, factor, factorial, factorize, floor, gcd, invmod, log, log10, log1p, log2, logspace, max, min, mod, mod1, modf, next, nextpow, nextprod, num, primes, primesmask, prod, realmin, sqrt, sum!, sumabs, sumabs!, sumabs2, sumabs2!,User Contributed Notes
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