Difference between revisions of "Manuals/calci/ERF"
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− | <div style="font-size:30px">'''ERF( | + | <div style="font-size:30px">'''ERF(a,b,accuracy)'''</div><br/> |
− | *<math> | + | *<math>a</math> is the lower limit and <math> b </math> is the upper limit. |
− | + | *<math>accuracy</math> gives accurate value of the solution | |
+ | **ERF(), returns the Error Function. | ||
==Description== | ==Description== | ||
*This function gives the value of the error function . | *This function gives the value of the error function . | ||
*Error function is the special function which is encountered in integrating the normal distribution. | *Error function is the special function which is encountered in integrating the normal distribution. | ||
− | *In <math>ERF( | + | *In <math>ERF(a,b,accuracy)</math>,<math>a</math> is the lower limit of the integrating function and <math>b</math> is the upper limit of the integrating function. |
− | *Also <math> | + | *Also <math>b</math> is optional. When we are omitting the <math>b</math> value, then the integral of the error function between 0 and the given <math>a</math> value is returned otherwise it will consider the given <math>a</math> and <math>b</math> values. |
*This function is also called Gauss error function. | *This function is also called Gauss error function. | ||
*<math>ERF </math>is defined by:<math>ERF(z)=\frac {2}{\sqrt{\pi}}\int\limits_{0}^{z}e^{-t^2} dt</math> | *<math>ERF </math>is defined by:<math>ERF(z)=\frac {2}{\sqrt{\pi}}\int\limits_{0}^{z}e^{-t^2} dt</math> | ||
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*This function will return the result as error when | *This function will return the result as error when | ||
1.any one of the argument is non-numeric. | 1.any one of the argument is non-numeric. | ||
− | 2.<math> | + | 2.<math>a</math> or <math>b</math> is negative. |
+ | |||
+ | ==ZOS== | ||
+ | *The syntax is to calculate error function in ZOS is <math>ERF(a,b,accuracy)</math>. | ||
+ | **<math>a</math> is the lower limit and <math> b </math> is the upper limit. | ||
+ | **<math>accuracy</math> gives accurate value of the solution. | ||
+ | *For e.g.,ERF(2,3),ERF(2,3,0.001) | ||
==Examples== | ==Examples== | ||
− | #ERF(1,2)=0. | + | #ERF(1,2)=0.15262147206923793 |
− | #ERF(3,2)= | + | #ERF(3,2)=0.004655644484048649 |
− | #ERF(0,1)=0. | + | #ERF(0,1)=0.8427007929497148 |
− | #ERF(5)= | + | #ERF(5)=0.9999999999984626 |
− | #ERF(-3)= | + | #ERF(-3)=-0.9999779095030014 |
+ | |||
+ | ==Related Videos== | ||
+ | |||
+ | {{#ev:youtube|PBSFXukqztU|280|center|Error Function}} | ||
==See Also== | ==See Also== | ||
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==References== | ==References== | ||
[http://en.wikipedia.org/wiki/Error_function Error Function] | [http://en.wikipedia.org/wiki/Error_function Error Function] | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | *[[Z_API_Functions | List of Main Z Functions]] | ||
+ | |||
+ | *[[ Z3 | Z3 home ]] |
Latest revision as of 04:11, 29 September 2021
ERF(a,b,accuracy)
- is the lower limit and is the upper limit.
- gives accurate value of the solution
- ERF(), returns the Error Function.
Description
- This function gives the value of the error function .
- Error function is the special function which is encountered in integrating the normal distribution.
- In , is the lower limit of the integrating function and is the upper limit of the integrating function.
- Also is optional. When we are omitting the value, then the integral of the error function between 0 and the given value is returned otherwise it will consider the given and values.
- This function is also called Gauss error function.
- is defined by:
- .
- In this case is the lower limit and is the upper limit.
- This function will return the result as error when
1.any one of the argument is non-numeric. 2. or is negative.
ZOS
- The syntax is to calculate error function in ZOS is .
- is the lower limit and is the upper limit.
- gives accurate value of the solution.
- For e.g.,ERF(2,3),ERF(2,3,0.001)
Examples
- ERF(1,2)=0.15262147206923793
- ERF(3,2)=0.004655644484048649
- ERF(0,1)=0.8427007929497148
- ERF(5)=0.9999999999984626
- ERF(-3)=-0.9999779095030014
Related Videos
See Also
References