This lack of uniformity is one reason that the contemporary definition of computable numbers uses \ epsilon approximations rather than decimal expansions.
32.
:: This is where it pays off if you have memorized the decimal expansion of ? to a sufficient number of digits.
33.
For instance, there are uncountably many numbers whose decimal expansion does not contain the digit 5, and none of these are normal.
34.
*PM : existence and uniqueness of decimal expansion, id = 7648 new !-- WP guess : existence and uniqueness of decimal expansion-- Status:
35.
*PM : existence and uniqueness of decimal expansion, id = 7648 new !-- WP guess : existence and uniqueness of decimal expansion-- Status:
36.
:: To compare numbers to see if they are larger or smaller, generate the decimal expansion one digit at a time and compare.
37.
However, the final answer is that, since we have no complete decimal expansion of pi, then we don't know if it contains Hamlet.
38.
The algorithm takes an integer n \ ge 1 as input and produces the n-th digit of the real number's decimal expansion as output.
39.
For example, if P ( d ) is the statement that the digit d occurs infinitely often in the decimal expansion of pi, then:
40.
There must be something that allows the decimal expansion to go past this . talk ) 17 : 15, 12 March 2010 ( UTC)
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