Difference between revisions of "Manuals/calci/ERF"

Revision as of 04:24, 26 December 2013

ERF(ll,ul)

This function gives the value of the error function .
Error function is the special function which is encountered in integrating the normal distribution.
In $ERF(ll,ul),ll$ is the lower limit of the integrating function and $ul$ is the upper limit of the integrating function.
Also $ul$ is optional. When we are omitting the $ul$ value, then the integral of the error function between 0 and the given $ll$ value is returned otherwise it will consider the given $ll$ and $ul$ values.
This function is also called Gauss error function.
$ERF$ is defined by: $ERF(z)={\frac {2}{\sqrt {\pi }}}\int \limits _{0}^{z}e^{-t^{2}}dt$
$ERF(a,b)={\frac {2}{\sqrt {\pi }}}\int \limits _{a}^{b}e^{-t^{2}}dt=ERF(b)-ERF(a)$ .
In this case $a$ is the lower limit and $b$ is the upper limit.
This function will return the result as error when

any one of the argument is non-numeric.
 $ll$  or  $ul$  is negative.

@@ Line 11: / Line 11: @@
 *<math>ERF </math>is defined by:<math>ERF(z)=\frac {2}{\sqrt{\pi}}\int\limits_{0}^{z}e^{-t^2} dt</math>
 *<math>ERF(a,b)=\frac{2}{\sqrt{\pi}}\int\limits_{a}^{b}e^{-t^2} dt=ERF(b)-ERF(a)</math>.
-*In this case 'a' is the lower limit and 'b' is the upper limit.
+*In this case <math>a</math> is the lower limit and <math>b</math> is the upper limit.
 *This function will return the result as error when
-#any one of the argument is nonnumeric.
+ any one of the argument is non-numeric.
-#ll or ul is negative.
+ <math>ll</math> or <math>ul</math> is negative.
 ==Examples==