26 MAR 2013 by ideonexus
π in Base-26 Will Produce All the Works of Shakespeare
Base 26 is one of two fairly natural ways of representing numbers
as text using a 26-letter alphabet. The number of interest is
expressed numerically in base 26, and then the 26 different base-26
digits are identified with letters as 0=A, 1=B, 2=C, ... 25=Z.
Here are the first 100 digits of pi expressed in this way:
D.DRSQLOLYRTRODNLHNQTGKUDQGTUIRXNEQBCKBSZIVQQVGDMELM
UEXROIQIYALVUZVEBMIJPQQXLKPLRNCFWJPBYMGGOHJMMQISMS...
Lo! At the 6th digit we find a two-letter word (LO), and only a
...By assigning letters to numbers in the irrational number, we can produce the effect of a million monkeys on a million typewriters for a million years.
21 JUN 2012 by ideonexus
Hell for Scientists
I had at one time a very bad fever of which I almost died. In my fever I had a long consistent delirium. I dreamt that I was in Hell, and that Hell is a place full of all those happenings that are improbable but not impossible. The effects of this are curious. Some of the damned, when they first arrive below, imagine that they will beguile the tedium of eternity by games of cards. But they find this impossible, because, whenever a pack is shuffled, it comes out in perfect order, beginning wit...Is a place where the improbable occurs everywhere.
11 JUN 2012 by ideonexus
We Must Become Comfortable with Large Numbers
Borel makes the amusing supposition of a million monkeys allowed to play upon the keys of a million typewriters. What is the chance that this wanton activity should reproduce exactly all of the volumes which are contained in the library of the British Museum? It certainly is not a large chance, but it may be roughly calculated, and proves in fact to be considerably larger than the chance that a mixture of oxygen and nitrogen will separate into the two pure constituents. After we have learned ...In order to understand why a million monkey on a million typewriters might produce a great work of art.