su'i'o
valsi
su'i'o
type
experimental cmavo
creator
time entered
Sun Sep 8 06:35:41 2019
English
Definition #71499 - Preferred
selma'o
VUhU
definition
mekso unary or binary operator: ordered inputs (n, b) where n and b are nonnegative integers and b > 1; output is the ultimate digital root of n in base-b.
notes
Often denoted "dr". b defaults to whichever base in which n was expressed; output is in base-b. Thus, if we assume the cultural default of the traditional decimal system, then n will be expressed in this base and b will be defaulted to b = 2*5 and thus omitted (yielding an unary operator here). For a fixed base b and n = eval(" MATH
$n_1n_2...n_m$
n1n2...nm") where "ni" is a digit in base b for each i, if n < b then dr(n, b) = n else dr(n, b) = dr( MATH
$n_1 + n_ 2 +...+ n_m, b$
n1 + n2 + ... + nm, b). This might be extended to values of n which are not nonnegative integers via various means such as the piecewise function based on modular arithmetic (although this breaks the intuition that dr(9.9) = 9, for example); it may also be extended to exotic bases. This is repeated self-application (left-composition) "su'i'e" until a fixed point (single-digit numeric string) is output.
gloss words
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vote information
1
time
Sun Sep 8 06:55:30 2019
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