Riffs and Rotes • Happy New Year 2023
• https://inquiryintoinquiry.com/2023/01/01/riffs-and-rotes-happy-new-year-2023/
\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)
\( \text{Then} ~ 2023=7\cdot{17}^2=p_{4}p_{7}^2=p_{{p_1}^{p_1}}p_{p_4}^{p_1} =p_{{p_1}^{p_1}}p_{p_{{p_1}^{p_1}}}^{p_1} \)
No information is lost by dropping the terminal 1s. Thus we may write the following form.
\[ 2023=p_{p^p} p_{p_{p^p}}^p \]
Forms like these correspond to a family of #Digraphs called #Riffs and a family of #Graphs called #Rotes.
#GraphTheory #NumberTheory #Primes #PrimeNumbers #RiffsAndRotes
Is support for #digraphs broken in #java?
Given the same locale, java.text package will take digraphs into account when sorting, but ignores them when iterating over language specific letters.
For example, given a Czech locale, word hoch (boy) is split into |h|o|ch| when sorting & into |h|o|c|h| when iterating over letters.
This inconsistency looks like a bug to me but I haven't found any discussion / issue tracker for it. Is this a know issue? Or is it just something that nobody cares about?