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. If you'd like to read more awesome and interesting stuff, check out this unrelated (but not entirely random!) Techdirt post.

Filed Under: calculations, irrational, math, numbers, pi

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  1. identicon
    Anonymous Coward, 14 Feb 2013 @ 8:42pm

    it's not even a valid question, clearly with an infinite number any number sequence even an infinite one will be found in the sequence.

    what the question really is, is 'how big does the number have to be to ensure that a specific size sequence will occur.
    That can easily be worked out statistically.

    for example.

    with a sequence of 10 digits of random numbers you have a 100% chance of finding a 1 digit sequence in that. 1 in 10 for each digit.

    so if your number sequence is 9876543210 you have a 10% chance for each digit to get a match to your sequence and a 100% chance your single digit sequence can be found in the number.

    if your search sequence is 23 then you only have 10 possible numbers that can follow a 2 (0123456789), so if you have a sequence or 100 numbers there would be a 100% chance of 2 occurring 10 times, and only 10 different possibilities that can follow the 2 (3 being one of them).

    therefore with 10 numbers you have 100% chance of finding a sequence of 1.

    with 100 numbers you have a 100% chance of finding a sequence of 2. It's very simple, the longer your required sequence the larger the initial number has to be.

    of for infinite sequence of finite numbers joke.

    lets try, we'll use a finite number of digits (3) we'll call them 1, 2, 3.

    now according to you I can arrange that sequence an infinite number of ways !!!.. LETS TRY.. (this could take awile).


    does not look infinite to me !!! yet every possible sequence is covered

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