Is Error Function
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that occurs in probability, statistics, and partial differential equations describing diffusion. It is defined as:[1][2] erf ( x ) = 1 π ∫ − x x e − t 2 d t = 2 π ∫ 0 x e − error function calculator t 2 d t . {\displaystyle {\begin − 6\operatorname − 5 (x)&={\frac − 4{\sqrt {\pi error function table }}}\int _{-x}^ − 3e^{-t^ − 2}\,\mathrm − 1 t\\&={\frac − 0{\sqrt {\pi }}}\int _ 9^ 8e^{-t^ 7}\,\mathrm 6 t.\end inverse error function 5}} The complementary error function, denoted erfc, is defined as erfc ( x ) = 1 − erf ( x ) = 2 π ∫ x ∞ e − t 2 d t = e
Error Function Matlab
− x 2 erfcx ( x ) , {\displaystyle {\begin 2\operatorname 1 (x)&=1-\operatorname 0 (x)\\&={\frac Φ 9{\sqrt {\pi }}}\int _ Φ 8^{\infty }e^{-t^ Φ 7}\,\mathrm Φ 6 t\\&=e^{-x^ Φ 5}\operatorname Φ 4 (x),\end Φ 3}} which also defines erfcx, the scaled complementary error function[3] (which can be used instead of erfc to avoid arithmetic underflow[3][4]). Another form of erfc ( x ) {\displaystyle \operatorname 2 (x)} for non-negative x error function excel {\displaystyle x} is known as Craig's formula:[5] erfc ( x | x ≥ 0 ) = 2 π ∫ 0 π / 2 exp ( − x 2 sin 2 θ ) d θ . {\displaystyle \operatorname 0 (x|x\geq 0)={\frac Φ 9{\pi }}\int _ Φ 8^{\pi /2}\exp \left(-{\frac Φ 7}{\sin ^ Φ 6\theta }}\right)d\theta \,.} The imaginary error function, denoted erfi, is defined as erfi ( x ) = − i erf ( i x ) = 2 π ∫ 0 x e t 2 d t = 2 π e x 2 D ( x ) , {\displaystyle {\begin Φ 0\operatorname − 9 (x)&=-i\operatorname − 8 (ix)\\&={\frac − 7{\sqrt {\pi }}}\int _ − 6^ − 5e^ − 4}\,\mathrm − 3 t\\&={\frac − 2{\sqrt {\pi }}}e^ − 1}D(x),\end − 0}} where D(x) is the Dawson function (which can be used instead of erfi to avoid arithmetic overflow[3]). Despite the name "imaginary error function", erfi ( x ) {\displaystyle \operatorname 8 (x)} is real when x is real. 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 ) = e − z 2 erfc ( − i z ) = erfcx ( − i z )
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Error Function Properties
Functions Logical Functions Information Functions CELL (WS) ENVIRON (VBA) ERROR.TYPE (WS) INFO (WS) ISBLANK (WS) ISDATE (VBA) ISEMPTY
Nyse Erf
(VBA) ISERR (WS) ISERROR (WS, VBA) ISLOGICAL (WS) ISNA (WS) ISNONTEXT (WS) ISNULL (VBA) ISNUMBER (WS) ISNUMERIC (VBA) ISREF (WS) ISTEXT (WS) N (WS) NA (WS) TYPE (WS) Financial Functions https://en.wikipedia.org/wiki/Error_function Database Functions Engineering Functions File/Directory Functions Data Type Conversion Functions MS Excel: How to use the ISERROR Function (WS, VBA) This Excel tutorial explains how to use the Excel ISERROR function with syntax and examples. Description The Microsoft Excel ISERROR function can be used to check for error values. The ISERROR function is a built-in function in Excel that https://www.techonthenet.com/excel/formulas/iserror.php is categorized as an Information Function. It can be used as a worksheet function (WS) in Excel. As a worksheet function, the ISERROR function can be entered as part of a formula in a cell of a worksheet. Syntax The syntax for the ISERROR function in Microsoft Excel is: ISERROR( value ) Parameters or Arguments value The value that you want to test. If value is an error value (#N/A, #VALUE!, #REF!, #DIV/0!, #NUM!, #NAME? or #NULL), this function will return TRUE. Otherwise, it will return FALSE. Applies To Excel 2016, Excel 2013, Excel 2011 for Mac, Excel 2010, Excel 2007, Excel 2003, Excel XP, Excel 2000 Type of Function Worksheet function (WS) VBA function (VBA) Example (as Worksheet Function) Let's look at some Excel ISERROR function examples and explore how to use the ISERROR function as a worksheet function in Microsoft Excel: Based on the Excel spreadsheet above, the following ISERROR examples would return: =ISERROR(A1) Result: TRUE =ISERROR(A2) Result: TRUE =ISERROR(A3) Result: TRUE =ISERROR(A4) Result: FALSE =ISERROR("www.techonthenet.com") Result: FALSE =ISERROR(3/0) Result: TRUE Example (as VBA Fu
To: Excel 2016, Excel 2013, Excel 2010, Excel 2007, Excel 2016 for Mac, Excel for Mac 2011, Excel Online, Excel for iPad, Excel for iPhone, Excel for Android tablets, Excel Starter, Excel Mobile, Excel for Android phones, Less Applies To: Excel 2016 , https://support.office.com/en-us/article/IS-functions-0f2d7971-6019-40a0-a171-f2d869135665 Excel 2013 , Excel 2010 , Excel 2007 , Excel 2016 for Mac , Excel for Mac 2011 , Excel Online , Excel for iPad , Excel for iPhone , Excel for Android tablets , Excel https://www.mathworks.com/help/matlab/ref/erf.html Starter , Excel Mobile , Excel for Android phones , More... Which version do I have? More... Description Each of these functions, referred to collectively as the IS functions, checks the specified value and returns TRUE error function or FALSE depending on the outcome. For example, the ISBLANK function returns the logical value TRUE if the value argument is a reference to an empty cell; otherwise it returns FALSE. You can use an IS function to get information about a value before performing a calculation or other action with it. For example, you can use the ISERROR function in conjunction with the IF function to perform a different action if an is error function error occurs: = IF( ISERROR(A1), "An error occurred.", A1 * 2) This formula checks to see if an error condition exists in A1. If so, the IF function returns the message "An error occurred." If no error exists, the IF function performs the calculation A1*2. Syntax ISBLANK(value) ISERR(value) ISERROR(value) ISLOGICAL(value) ISNA(value) ISNONTEXT(value) ISNUMBER(value) ISREF(value) ISTEXT(value) The IS function syntax has the following argument: value Required. The value that you want tested. The value argument can be a blank (empty cell), error, logical value, text, number, or reference value, or a name referring to any of these. Function Returns TRUE if ISBLANK Value refers to an empty cell. ISERR Value refers to any error value except #N/A. ISERROR Value refers to any error value (#N/A, #VALUE!, #REF!, #DIV/0!, #NUM!, #NAME?, or #NULL!). ISLOGICAL Value refers to a logical value. ISNA Value refers to the #N/A (value not available) error value. ISNONTEXT Value refers to any item that is not text. (Note that this function returns TRUE if the value refers to a blank cell.) ISNUMBER Value refers to a number. ISREF Value refers to a reference. ISTEXT Value refers to text. Remarks The value arguments of the IS functions are not converted. Any numeric values that are enclosed in double quotation marks are treated as text. For example,
Search All Support Resources Support Documentation MathWorks Search MathWorks.com MathWorks Documentation Support Documentation Toggle navigation Trial Software Product Updates Documentation Home MATLAB Examples Functions Release Notes PDF Documentation Mathematics Elementary Math Special Functions MATLAB Functions erf On this page Syntax Description Examples Find Error Function Find Cumulative Distribution Function of Normal Distribution Calculate Solution of Heat Equation with Initial Condition Input Arguments x More About Error Function Tall Array Support Tips 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 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
) returns the Error Function evaluated for each element of x.Examplescollapse allFind Error FunctionOpen ScriptFind the error function of a value.erf(0.76) ans = 0.7175 Find the error function of the elements of a vector.V = [-0.5 0 1 0.72]; erf(V) ans = -0.5205 0 0.8427 0.6914 Find the error function of the elements of a matrix.M = [0.29 -0.11; 3.1 -2.9]; erf(M) ans = 0.3183 -0.1236 1.0000 -1.0000 Find Cumulative Distribution Function of Normal DistributionOpen ScriptThe cumulative distribution function (CDF) of the normal, or Gaussian, distribution with standard deviation and mean is Note that for increased computational accuracy, you can rewrite the formula in terms of erfc . For details, see Tips.Plot the CDF of the normal distribution with and .x = -3:0.1:3; y = (1/2)*(1+erf(x/sqrt(2))); plot(x,y) grid on title('CDF of normal distribution with \mu = 0 and \sigma = 1') xlabel('x') ylabel('CDF') Calculate Solution of Heat Equation with Initial ConditionOpen ScriptWhere represents the temperature at position and time , the heat equation is where is a constant.For a material with heat coefficient , and for the initial