The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Fractional parts of const^i
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
Hauke Reddmann

Posts: 545
Registered: 12/13/04
Fractional parts of const^i
Posted: Jun 5, 2013 1:16 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

This might have similarity to an article in the newest
Am Math Monthly.
Consider the list frac[c^i], where c is a constant >1.
If frac<0.5, "throw" a 0, else a 1.
I computed with c=3/2 and after 500 runs I got a perfect
250:250 tie.
With, say, c=pi or e I don't, but rounding errors get
problematic for i>around 100 and MATHEMATICA, so I won't
rely on statistics for now.

Any work on the question how "random" the digit series gets
for certain c?

Hauke Reddmann <:-EX8
Das Licht vorm Fensterladen blinkt
Hotel Hotel Hotel
Reiß ihn auf und träum im Mondlicht

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.