DailyDirt: Pi Math

from the urls-we-dig-up dept

National Pie Day is not actually March 14th (although it really should be, if only to make it more memorable). But here's to the number, not the delicious dessert.
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Filed Under: calculations, irrational, math, numbers, pi

1. Anonymous Coward, 14 Feb 2013 @ 10:49pm

0123456789

this is a number that contains every possible 1 digit sequence of numbers.

you cannot make up or think of a number that is not contained in this number.

for a 2 digit sequence you would need to have a 0123456789 after every occurrence of 0123456789 from the original 10 digit number.

ie.

00010203...... 09....10111213....19...2021222324...29.....
....
....
90919293949596979899

no matter what combination of 2 digit sequence you choose it will be contained in this one fixed (not random) FINITE NUMBER..

if your sequence is 3 digits long, for every 2 digit sequence (ie 12) you will need a 0 to 9 after it..

120121122123124125126127.....

that gives me a number that contains every possible combination of 3 digit sequence.

you notice that as long as you have a finite sequence (a specific length, it will within a finite number length of random digits.

you don't need an infinity of numbers you only need an even statistical distribution and a large number set to contain ANY number sequence of any finite length. You may need a very large number but you do not need an infinite number.

in an infinite number a sequence of infinite length will occur an infinite number of times.

which I believe is a few more than none !!!!!.

you can have a sequence of infinite length (such as pi0 but you cannot have a infinite number of combinations of a sequence of a fixed length.

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