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Added note on non-generality of concrete example

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nkohen
2020-10-29 03:05:33 -05:00
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NumericOutcome.md
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@@ -179,6 +179,9 @@ generated in both the front and back groupings of length at most `B-1 ` which co
This counting also shows us that base 2 is the optimal base to be using in general cases as it will, in general, outperform all larger bases
in both large and small intervals.
Note that the concrete example above was chosen to be easy to write down in base 10 (large digits in `start`, small digits in `end`) and so it should not
be thought of as a general candidate for this particular consideration.
To help with intuition on this matter, consider an arbitrary range of three digit numbers in base 10.
To capture the same range in base 2 we need 10 digit binary numbers.
However, a random three digit number in base 10 is expected to have a digit sum of 15, while a random ten digit binary number expects a digit sum of only 5!