numberis
Numberis is a term used in a hypothetical mathematical framework to describe numbers according to a digit-based evaluation rule. In this context, a numberis is both the rule applied to a natural number and the value produced by that rule. The central object of study is the rule R, which operates on the decimal digits of n to produce an integer R(n). Researchers then investigate the properties of n with respect to R, including fixed points (numbers for which n = R(n)) and the behavior of R under iteration.
Definition and construction. Fix a digit-based rule R that can be applied to any natural number in
Examples. A common example is the digit-sum function s(n), where R(n) equals the sum of the decimal
Variants and applications. Beyond fixed points, researchers study convergence, cycles, and sensitivity to initial conditions. While
See also. Digit sum, digit product, digital root, fixed point, iterated function.