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| author | Adrien Hopkins <adrien.p.hopkins@gmail.com> | 2023-09-07 17:39:15 -0500 |
|---|---|---|
| committer | Adrien Hopkins <adrien.p.hopkins@gmail.com> | 2023-09-07 19:33:54 -0500 |
| commit | d6bb5352f93f2260f4a37ccd7c71bd08c4d03340 (patch) | |
| tree | c6a340e891a518ab48ec3328e32548fb4f91e37a /radix_info.go | |
| parent | 3cfb1fdcbe83c1ee4adf8e370f0922ca41c472c6 (diff) | |
Add regular util. score, replace in compact view
The RUS is like the factor utility score, but for regulars (numbers
divisible by any power of the radix) instead of factors (numbers
divisible by the radix). It estimates the utility of fractions that
terminate but with more than one digit, like 4, 8 and 20 in decimal.
It is also (by coincidence) the reciprocoal of the totative ratio. I am
replacing it in the compact view because it is more useful, for two
reasons:
- It can be meaningfully compared with the factor utility score. By
subtracting RUS-FUS, you can find the utility of non-factor regulars.
This score can give a hint about how often these fractions will be
used in a radix. It also can tell you how much benefit you can get
from adding another copy of a radix's prime factors. For example,
senary (RUS-FUS=1.0) can gain a lot from adding another 2 or 3, while
octal (RUS-FUS=0.125) probably won't (in terms of factors at least,
the benefits for computers are separate to this)
- Because of the way they are calculated, the RUS is far more likely to
be a round/terminating decimal than the totative ratio. This means
that taking the reciprocoal to get the benefits of the other number is
far easier with the RUS than the totative ratio.
Diffstat (limited to 'radix_info.go')
0 files changed, 0 insertions, 0 deletions
