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On 01/17/2012 03:01 PM, Vincent Lefevre wrote:
I don't know in which cases the midpoint could be useful except for bisection and conversion to midrad.
The midpoint is also important for the evaluation of centered forms.Thus there must be made a distinction between the midpoint (which should be in the interval and closest to the exact midpoint) and a splitting point, to be used for bisection. These are two different concepts that should not be mixed up.