I'm going to guess that it means Log iterated x times, with some interpretation when x is noninteger. -- Gene From: Fred Lunnon <fred.lunnon@gmail.com> To: math-fun <math-fun@mailman.xmission.com> Sent: Sunday, July 10, 2016 5:48 PM Subject: Re: [math-fun] The Limit of my credulity Let us (and wolfram.com) into the secret --- what does Log@x mean? https://reference.wolfram.com/language/tutorial/Operators.html WFL On 7/11/16, Bill Gosper <billgosper@gmail.com> wrote:
In[152]:= Limit[ArcSinh[x Log[x] - x] - Log[Log@x]^1, x -> \[Infinity]]
Out[152]= -\[Infinity]
In[167]:= Limit[ArcSinh[x Log[x] - x] - Log[Log@x]^(1 - 1/E^E^E^E^E^x), x -> \[Infinity]]
Out[167]= \[Infinity]
There was a brief shining moment when developmental Macsyma could actually do these, using Bill Dubuque's nhayat asymptotic expansion system, inspired by a certain moderator. --rwg