1 Array D Error Function
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Python Inverse Error Function
Notes PDF Documentation Mathematics Elementary Math Special Functions MATLAB Functions erfinv On erf(1) this page Syntax Description Examples Find Inverse Error Function of Value Plot the Inverse Error Function Generate Gaussian complementary error function Distributed Random Numbers Input Arguments x More About Inverse Error Function Tall Array Support Tips See Also This is machine translation Translated by Mouse over text to see original.
Error Function Table
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Erfc
Thai Turkish Ukrainian Vietnamese Welsh MathWorks Machine Translation The automated translation of this page is provided by a general purpose third party translator tool. MathWorks does not warrant, and disclaims all liability for, the accuracy, suitability, or fitness for purpose of the translation. Translate erfinvInverse error functioncollapse all in page Syntaxerfinv(x) exampleDescriptionexampleerfinv(x
) returns the Inverse Error Function evaluated for each element of x. For inputs outside the interval [-1 1], erfinv returns NaN. Examplescollapse allFind Inverse Error Function of ValueOpen Scripterfinv(0.25) ans = 0.2253 For inputs outside [-1,1], erfinv returns NaN. For -1 and 1, erfinv returns -Inf and Inf, respectively.erfinv([-2 -1 1 2]) ans = NaN -Inf Inf NaN Find the inverse error function of the elements of a matrix.M = [0 -0.5; 0.9 -0.2]; erfinv(M) ans = 0 -0.4769 1.1631 -0.1791 Plot the Inverse Error FunctionOpen ScriptPlot the inverse error function for -1 < x < 1.x = -1:0.01:1; y = erfinv(x); plot(x,y) grid on xlabel('x') ylabel('erfinv(x)') title('Inverse Error Function for -1 < x < 1') Generate Gaussian Distributed Random NumbersOpen Script
TMath namespace TMath TMath Encapsulate math routines. Function Members (Methods) public: Short_tAbs(Short_t d) Int_tAbs(Int_t d) Long_tAbs(Long_t gaussian function d) Long64_tAbs(Long64_t d) Float_tAbs(Float_t d) Double_tAbs(Double_t d) Double_tACos(Double_t x) Double_tACosH(Double_t)
Gamma Function
Double_tASin(Double_t x) Double_tASinH(Double_t) Double_tATan(Double_t x) Double_tATan2(Double_t y, Double_t x) Double_tATanH(Double_t) Double_tBesselI(Int_t n, Double_t x) Double_tBesselI0(Double_t gaussian distribution x) Double_tBesselI1(Double_t x) Double_tBesselJ0(Double_t x) Double_tBesselJ1(Double_t x) Double_tBesselK(Int_t n, Double_t x) Double_tBesselK0(Double_t x) Double_tBesselK1(Double_t x) Double_tBesselY0(Double_t x) Double_tBesselY1(Double_t x) Double_tBeta(Double_t p, Double_t q) Double_tBetaCf(Double_t http://www.mathworks.com/help/matlab/ref/erfinv.html x, Double_t a, Double_t b) Double_tBetaDist(Double_t x, Double_t p, Double_t q) Double_tBetaDistI(Double_t x, Double_t p, Double_t q) Double_tBetaIncomplete(Double_t x, Double_t a, Double_t b) Long64_tBinarySearch(Long64_t n, const short* array, short value) Long64_tBinarySearch(Long64_t n, const short** array, short value) Long64_tBinarySearch(Long64_t n, const int* array, int value) Long64_tBinarySearch(Long64_t n, const int** array, https://root.cern.ch/root/html524/TMath.html int value) Long64_tBinarySearch(Long64_t n, const float* array, float value) Long64_tBinarySearch(Long64_t n, const float** array, float value) Long64_tBinarySearch(Long64_t n, const double* array, double value) Long64_tBinarySearch(Long64_t n, const double** array, double value) Long64_tBinarySearch(Long64_t n, const long* array, long value) Long64_tBinarySearch(Long64_t n, const long** array, long value) Long64_tBinarySearch(Long64_t n, const long long* array, long long value) Long64_tBinarySearch(Long64_t n, const long long** array, long long value) Double_tBinomial(Int_t n, Int_t k) Double_tBinomialI(Double_t p, Int_t n, Int_t k) Double_tBreitWigner(Double_t x, Double_t mean = 0, Double_t gamma = 1) voidBubbleHigh(Int_t Narr, Double_t* arr1, Int_t* arr2) voidBubbleLow(Int_t Narr, Double_t* arr1, Int_t* arr2) Double_tC() Double_tCauchyDist(Double_t x, Double_t t = 0, Double_t s = 1) Double_tCcgs() Double_tCeil(Double_t x) Int_tCeilNint(Double_t x) Double_tChisquareQuantile(Double_t p, Double_t ndf) Double_tCos(Double_t x) Double_tCosH(Double_t x) float*Cross(const float* v1, const float* v2, float* out) double*Cross(const double* v1, const double* v2, double* out) Double_tCUncertainty() Double_tDegToRad() Double_tDiLog(Double_t x) Double_tE() Double_tErf(Double_t x) Double_tErfc(Double_t x) Double_tErfcInverse(Double_t x) Do
2/sqrt(pi)*integral(exp(-t**2), t=0..z). Parameters:x : ndarray Input array. Returns:res : ndarray The values of error function the error function at the given points x. See also erfc, erfinv, erfcinv Notes The cumulative of the unit normal distribution 1 array d is given by Phi(z) = 1/2[1 + erf(z/sqrt(2))]. References [R200]http://en.wikipedia.org/wiki/Error_function [R201]Milton Abramowitz and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover, 1972. http://www.math.sfu.ca/~cbm/aands/page_297.htm [R202]Steven G. Johnson, Faddeeva W function implementation. http://ab-initio.mit.edu/Faddeeva Previous topic scipy.special.multigammaln Next topic scipy.special.erfc © Copyright 2008-2009, The Scipy community. Last updated on May 11, 2014. Created using Sphinx 1.2.2.