Benford's Law
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From: F/32 Eurydice on 11 Jul 2010 05:26 I just looked up Benford's Law, and found that it describes the distribution of digits in the first decimal place. http://is.gd/dnIfL I had heard that it states that the distribution of digits is random, in all the other places. Does this other law that I thought was Benford's have a name?
From: Robert Israel on 11 Jul 2010 11:17 "F/32 Eurydice" <f32eurydice(a)sbcglobal.net> writes: > > I just looked up Benford's Law, and found that it describes the > distribution of digits in the first decimal place. http://is.gd/dnIfL > > I had heard that it states that the distribution of digits is random, > in all the other places. Does this other law that I thought was > Benford's have a name? You had heard wrong: the distribution is not quite uniform. This is also part of Benford's Law. See <http://en.wikipedia.org/wiki/Benford%27s_law>, section "Generalization to digits beyond the first". -- Robert Israel israel(a)math.MyUniversitysInitials.ca Department of Mathematics http://www.math.ubc.ca/~israel University of British Columbia Vancouver, BC, Canada
From: spudnik on 11 Jul 2010 22:12 so, how about for base-3? -- not "sumorial," if that's not a pun. > "Generalization to digits beyond the first". --les ducs d'oil! http://tarpley.net
From: Rob Johnson on 12 Jul 2010 08:36 In article <d3fc510a-38f4-45c2-875d-0400665047aa(a)z10g2000yqb.googlegroups.com>, spudnik <Space998(a)hotmail.com> wrote: >so, how about for base-3? -- not "sumorial," >if that's not a pun. > >> "Generalization to digits beyond the first". Base 3 is pretty much the same, but using log base 3 instead of log base 10. For base-b, he probability of d being the n-th digit (n > 1) is b^{n-1}-1 --- 1 > log ( 1 + ------ ) --- b bk + d k=b^{n-2} just as the cited article says that the probability of the first digit being d is 1 log ( 1 + - ) b d Rob Johnson <rob(a)trash.whim.org> take out the trash before replying to view any ASCII art, display article in a monospaced font
From: spudnik on 12 Jul 2010 15:03
that is the most, can be said about it; can we use e? (not "sumorial?") > >> "Generalization to digits beyond the first". > For base-b, the probability of d being the n-th digit > (n > 1) is: > b^{n-1}-1 > --- 1 > > log ( 1 + ------ ) > --- b bk + d > k=b^{n-2} > > that the probability of the first > digit being d is: > 1 > log ( 1 + - ) > b d thus&so: sorry; I'm going to stop saying, thence he died, and abuzing my time with this monolog. thanks for all fish! I'm just saying, go jumpt into a pool of spacetime, or timespace, as long as it's deep! > read more »... thus&so: yeah, but are the glasses, 3d, or the clocks -- or neither or both? > ... so, I said, "Hey, Einstein, space and time are made of rubber! > "Just kidding, dood." > I am, however, not implying that he was a surfer, but > he did know the canonical surfer's value ... of pi. thus&so: it's just his bot, as far as I can tell, without researching it ... googoling would be way too much positive feedback, and that's unpositively moderate anyway, what difference between lightwaves and rocks o'light, vis-a-vu the curvature of space (as was uncovered by You now who & you know whO-oo, in the 18th and BCE centuries (or 2nd and Minus Oneth millenia ?-) also, don't forget the ... well, their are a few of them! > If colleagues know, what good? thus&so: .... time, considered to be perpendicular to all of the three spatial directions; at least, in some abstract sense. anyway, I invented the terminology; so ,there.... um, perpendicular Universes: --BP's cap™ call of brokers the group! association http://tarpley.net |