Error Function On Matlab
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Matlab Error Handling
Software Product Updates Documentation Home Symbolic Math Toolbox Examples Functions matlab error message and Other Reference Release Notes PDF Documentation Mathematics Mathematical Functions Symbolic Math Toolbox Functions erf On
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this page Syntax Description Examples Error Function for Floating-Point and Symbolic Numbers Error Function for Variables and Expressions Error Function for Vectors and Matrices Special matlab error command Values of Error Function Handling Expressions That Contain Error Function Plot Error Function Input Arguments X More About Error Function Tips Algorithms References See Also This is machine translation Translated by Mouse over text to see original. Click the button below to return to the English verison of the page. q function matlab Back to English × Translate This Page Select Language Bulgarian Catalan Chinese Simplified Chinese Traditional Czech Danish Dutch English Estonian Finnish French German Greek Haitian Creole Hindi Hmong Daw Hungarian Indonesian Italian Japanese Korean Latvian Lithuanian Malay Maltese Norwegian Polish Portuguese Romanian Russian Slovak Slovenian Spanish Swedish 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 erfError functioncollapse all in page Syntaxerf(X) exampleDescriptionexampleerf(X
) represents the error function of X. If X is a vector or a matrix, erf(X) computes the error function of each element of X.ExamplesError Function for Floating-Point and Symbolic Numbers Depending on its arguments, erf can return floating-point or exact symbolic results. Compute the error function for these numbers. Because
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Documentation Home MATLAB Examples Functions Release Notes PDF Documentation Mathematics Elementary complex error function in matlab Math Special Functions MATLAB Functions erfc On this page Syntax Description Examples Find Complementary Error Function
Inverse Error Function Matlab
Find Bit Error Rate of Binary Phase-Shift Keying Avoid Roundoff Errors Using Complementary Error Function Input Arguments x More About Complementary Error Function Tall Array Support Tips https://www.mathworks.com/help/symbolic/erf.html See Also This is machine translation Translated by Mouse over text to see original. Click the button below to return to the English verison of the page. Back to English × Translate This Page Select Language Bulgarian Catalan Chinese Simplified Chinese Traditional Czech Danish Dutch English Estonian Finnish French German Greek Haitian Creole https://www.mathworks.com/help/matlab/ref/erfc.html Hindi Hmong Daw Hungarian Indonesian Italian Japanese Korean Latvian Lithuanian Malay Maltese Norwegian Polish Portuguese Romanian Russian Slovak Slovenian Spanish Swedish 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 erfcComplementary error functioncollapse all in page Syntaxerfc(x) exampleDescriptionexampleerfc(x
) returns the Complementary Error Function evaluated for each element of x. Use the erfc function to replace 1 - erf(x) for greater accuracy when erf(x) is close to 1.Examplescollapse allFind Complementary Error FunctionOpen ScriptFind the complementary error function of a value.erfc(0.35) ans = 0.6206 Find the complementary error function of the elements of a vector.V = [-0.5 0 1 0.72]; erfc(V) ans = 1.5205 1.0000 0.1573 0.3086 Find the complementary error function of the elements of a matrix.M = [0.29 -0.11; 3.1 -2.9]; er
Search All Support Resources Support Documentation MathWorks Search MathWorks.com MathWorks Documentation Support Documentation Toggle navigation Trial Software Product Updates Documentation Home MATLAB Examples https://www.mathworks.com/help/matlab/ref/erfinv.html Functions Release Notes PDF Documentation Mathematics Elementary Math Special Functions MATLAB Functions erfinv On this page Syntax Description Examples Find Inverse Error Function of Value Plot the Inverse Error http://www.obs.ujf-grenoble.fr/scci/logiciels/matlab61/help/techdoc/ref/erf.html Function Generate Gaussian 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 error function text to see original. Click the button below to return to the English verison of the page. Back to English × Translate This Page Select Language Bulgarian Catalan Chinese Simplified Chinese Traditional Czech Danish Dutch English Estonian Finnish French German Greek Haitian Creole Hindi Hmong Daw Hungarian Indonesian Italian Japanese Korean Latvian Lithuanian Malay Maltese Norwegian Polish Portuguese error function on Romanian Russian Slovak Slovenian Spanish Swedish 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 F
= erfcinv(Y) Inverse complementary error function Definition The error function erf(X) is twice the integral of the Gaussian distribution with 0 mean and variance of . The complementary error function erfc(X) is defined as The scaled complementary error function erfcx(X) is defined as For large X, erfcx(X) is approximately Description Y = erf(X) returns the value of the error function for each element of real array X. Y = erfc(X) computes the value of the complementary error function. Y = erfcx(X) computes the value of the scaled complementary error function. X = erfinv(Y) returns the value of the inverse error function for each element of Y. Elements of Y must be in the interval [-1 1]. The function erfinv satisfies for and . X = erfcinv(Y) returns the value of the inverse of the complementary error function for each element of Y. Elements of Y must be in the interval [0 2]. The function erfcinv satisfies for and . Remarks The relationship between the complementary error function erfc and the standard normal probability distribution returned by the Statistics Toolbox function normcdf is The relationship between the inverse complementary error function erfcinv and the inverse standard normal probability distribution returned by the Statistics Toolbox function norminv is Examples erfinv(1) is Inf erfinv(-1) is -Inf. For abs(Y) > 1, erfinv(Y) is NaN. Algorithms For the error functions, the MATLAB code is a translation of a Fortran program by W. J. Cody, Argonne National Laboratory, NETLIB/SPECFUN, March 19, 1990. The main computation evaluates near-minimax rational approximations from [1]. For the inverse of the error function, rational approximations accurate to approximately six significant digits are used to generate an initial approximation, which is then improved to full accuracy by one step of Halley's method. References [1] Cody, W. J., "Rational Chebyshev Approximations for the Error Function," Math. Comp., pgs. 631-638, 1969 epserror