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| | Is e Normal? |
 | | A number is called "normal" with respect to a given base if, when the number is expressed in that base, the asymptotic frequencies of occurrence of each distinct string of k digits are equal, and this applies to every positive integer k. |
 | | For example, if a number is normal in the base 10, the asymptotic frequency of occurrence of each of the decimal numerals 0,1,..,9 is precisely 1/10, and the asymptotic frequency of each two-digit strings 00,01,02,...,99 is exactly 1/100, and so on. |
 | | It may be worth noting that of all these numbers, the digits of pi are the most thoroughly checked and verified, and those are the digits that converge most satisfactorily to the theoretical value. |
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