From 24224ebd949f115c43e31c4263bbb5d338fa233b Mon Sep 17 00:00:00 2001 From: nkohen Date: Thu, 29 Oct 2020 03:05:33 -0500 Subject: [PATCH] Added note on non-generality of concrete example --- NumericOutcome.md | 3 +++ 1 file changed, 3 insertions(+) diff --git a/NumericOutcome.md b/NumericOutcome.md index af672aa..9e68388 100644 --- a/NumericOutcome.md +++ b/NumericOutcome.md @@ -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!