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inv_romberg
Syntax
$right_hand_endpoint = inv_romberg($rf_func, $left_hand_endpoint, $value) ; Params
$rf_funcrefers to a subroutine of one variable defining the function.
$left_hand_endpointis the left hand endpoint of the integral.
$valueis the desired value for the integral.
Returns
A number representing the right hand endpoint of the interval whose definite integral has the desired value.
Examples
$b = inv_romberg(sub { my $x=shift; (1/sqrt($PI) )*exp(-$x**2); }, 0, 1/4);
# find the upper limit b so that the area under the normal distribution on the inteval between 0 and b is 1/4.
Notes
Can be used, for example, to find intervals under a normal distribution curve that have a desired value. Used in many statistics problems.
See Also
trapezoid, romberg
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