Sunday, January 17, 2016

It is the 'No saddleback condition '

Why is Pi in  the normal distribution, asks Dave Giles. He shows us when we consider the formula.

The formula has Mr. Euler's number, the natural log thing.  When that was specified, then the implicit condition  is no saddle back in the ensembles, they always monotonically converge to their global statistics..  The assumption specifies Euler's number.  But Euler's number is an algorithm, the numerical method to compute the next most accurate natural log from the previous.  Pi appears because the maximum, no saddleback dispersion  differential converges to Pi and the natural log converges to Euler.

In  finite terms, normal means the system will  not cycle when  left to its own  devices.

No comments: