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The Generalized Gaussian Method (GGM)
#3
(10/26/2021, 10:41 PM)tommy1729 Wrote: The related integral above is quite complicated.
So I came up with the following simplification.

A different method but very similar.

n are integers larger than 0.
m is going to +infinity.











This has similar properties as the other generalized gaussian method and it should be easier to implement.

call it GGM2 or so.

For bases other than e ; take the base e^b then we get 











regards

tommy1729
Tom Marcel Raes

A further idea is to generalize like this 
 for positive odd w ; 



for instance w = 3 or w = 7.

with w = 7 we get the case :

n are integers larger than 0.
m is going to +infinity.











This has similar properties as the other generalized gaussian method and it should be easier to implement.

call it GGM2 or so.

For bases other than e ; take the base e^b then we get 











Notice this latest new modifation does not change the range where we get close to 1 much , but is still getting faster to 1.


regards

tommy1729
Tom Marcel Raes

ps : join " tetration friends " at facebook :p
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Messages In This Thread
RE: The Generalized Gaussian Method (GGM) - by tommy1729 - 10/28/2021, 12:07 PM

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