su'i'o

valsi

su'i'o

type

experimental cmavo

creator

krtisfranks

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...n_m") where "n_i" 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 + ... + n_m, 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

• digital root
• ultimate digital root

created by

krtisfranks

vote information

1

time

Sun Sep 8 06:55:30 2019

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