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error function examples

Error functions - Stanford University
nlpc.stanford.edu/nleht/Science/reference/errorfun.pdf
3 Plasma dispersion function Z(x) Plasma dispersion function Z(x) (Fried and Conte, 1961) is also called Fried-Conte function (Baumjohann and Treumann, 1997, p. 268). In the book by Mikhailovskiy (1975), notation is ZMikh(x) ≡ xZ(x), which may be a source of confusion. Plasma dispersion function is defined as: Z(x) = 1 √ π Z+∞ −∞ e ...
How to use IFERROR in Excel (In Easy Steps)
https://www.excel-easy.com/examples/iferror.html
How to use the Excel IFERROR function (In Easy Steps) IfError Use the IFERROR function in Excel to return an alternative result, such as text, when a formula evaluates to an error. 1. For example, Excel returns the #DIV/0! error when a formula tries to divide a number by 0. 2.
Error and Complementary Error Functions Outline
http://www.mhtlab.uwaterloo.ca › web_chap2
The error function and the complementary error function are important ... Another more accurate rational approximation has been developed for example erf x ...
Error function - Wikipedia
https://en.wikipedia.org/wiki/Error_function
When the results of a series of measurements are described by a normal distribution with standard deviation σ and expected value 0, then erf (a/σ √2) is the probability that the error of a single measurement lies between −a and +a, for positive a. This is useful, for example, in determining the bit error rate of a digital communication system. The error and complementary error functions occur, for example, in solutions of the heat equation
Error functions - Stanford University
nlpc.stanford.edu › nleht › Science
3 Plasma dispersion function Z(x) Plasma dispersion function Z(x) (Fried and Conte, 1961) is also called Fried-Conte function (Baumjohann and Treumann, 1997, p. 268). In the book by Mikhailovskiy (1975), notation is ZMikh(x) ≡ xZ(x), which may be a source of confusion. Plasma dispersion function is defined as: Z(x) = 1 √ π Z+∞ −∞ e ...
Erf -- from Wolfram MathWorld
https://mathworld.wolfram.com › Erf
erf(z) is the "error function" encountered in integrating the normal distribution (which is a normalized form of the Gaussian function).
jQuery ajax error function - Stack Overflow
https://stackoverflow.com/questions/6792878
error: function (jqXHR, exception) { console.log (jqXHR); // Your error handling logic here.. } We are using the status property from this object to get the error code, like if we get status = 404 this means that requested page could not be found. It doesn't exists at all.
The Error Function Mathematical Physics
https://eis.hu.edu.jo › ACUploads › lesson-3
There are other definitions of error functions. These are closely related integrals to the above one. 2. a) The normal or Gaussian distribution function. ).
Example: Error Functions - PTC Support
http://support.ptc.com › mathcad
1. Use the erf function to plot the Error function at different values of x. Click to copy this expression.
Error function - Wikipedia
https://en.wikipedia.org › wiki › Er...
The error and complementary error functions occur, for example, in solutions of the heat equation when boundary conditions are given by the Heaviside step ...
MATLAB erf - Error function - MathWorks
https://www.mathworks.com › ref
erf( x ) returns the Error Function evaluated for each element of x . Examples. collapse all ...
Error and Complementary Error Functions
www.mhtlab.uwaterloo.ca/courses/me755/web_chap2.pdf
Approximations Power Series for Small x(x<2) Since erf x= 2 p ˇ Z x 0 e t2 dt= 2 p ˇ Z x 0 X1 n=0 ( 1)nt2n n! dt (1.10) and the series is uniformly convergent, it may be integrated term by term.
Error Function: Simple Definition, Table of Values ...
https://www.calculushowto.com/error-function
27.11.2019 · The function has the following four properties: erf (-∞) = -1 erf (+∞) = 1 erf (-x) = -erf (x) erf (x*) = [erf (x)]* (* is a complex conjugate, where the real and imaginary parts are equal in magnitude but opposite in sign. For example, a + bi → a – bi) Graph of the Error Function
Error function - Wikipedia
en.wikipedia.org › wiki › Error_function
x erf x 1 − erf x; 0: 0: 1: 0.02: 0.022 564 575: 0.977 435 425: 0.04: 0.045 111 106: 0.954 888 894: 0.06: 0.067 621 594: 0.932 378 406: 0.08: 0.090 078 126: 0.909 ...
Error function - MATLAB erf
www.mathworks.com › help › symbolic
Input, specified as a symbolic number, variable, expression, or function, or as a vector or matrix of symbolic numbers, variables, expressions, or functions.
Error and Complementary Error Functions
www.mhtlab.uwaterloo.ca › courses › me755
Approximations Power Series for Small x(x<2) Since erf x= 2 p ˇ Z x 0 e t2 dt= 2 p ˇ Z x 0 X1 n=0 ( 1)nt2n n! dt (1.10) and the series is uniformly convergent, it may be integrated term by term.
Error Function: Simple Definition, Table of Values - Calculus ...
https://www.calculushowto.com › e...
For example, Fresnel integrals, which are derived from the error function, are used in the theory of optics. In probability and statistics, ...
Error function - Example Problems
http://exampleproblems.com › wiki
By analytic continuation, the error function can be defined for complex arguments as well. It occurs, for example, in solutions of the heat equation when ...
IFERROR Function in Excel
https://excelx.com/function/iferror
32 rader · Excel IFError Function helps to return a value if an formula returns an Error. For …
Error function - MATLAB erf
https://www.mathworks.com/help/symbolic/erf.html
erf (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. Examples Error 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.