[math-fun] A drawback of continued factions [Was: FW: squares beginning with n]
"How I wish I could calculate pi." "How I want a drink, alcoholic of course, after the heavy lectures involving quantum mechanics," become "Who recalls dispassionately a <292-letter word>?" (Followed by three one-letter words.) --rwg On 2016-05-22 13:01, rwg wrote:
On 2016-05-22 09:03, Veit Elser wrote:
Really? I would have thought base-10 has a special place in your heart. After all, in what base is the entropy per digit closest to the entropy per term in the continued fraction expansion?
-Veit
Eleven! In[709]:= π^2/6/Log[2]/Log[{10, 11}]
Out[709]= {π^2/(6 Log[2] Log[10]), π^2/(6 Log[2] Log[11])}
In[710]:= N@%
Out[710]= {1.030640834100713, 0.9896755074135375}
Sagan's "Contact" was onto something?
On May 22, 2016, at 11:11 AM, Dan Asimov <dasimov@earthlink.net> wrote:
I'm the same way.
Amen. Especially base-10 stuff puts me to sleep immediately,
like drinking a cup of decaf coffee.
—Dan
participants (1)
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Bill Gosper