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Also called [[harmonic limit]]. | Also called [[harmonic limit]]. | ||
A positive rational number q belongs to the pmax- | A positive rational number q belongs to the pmax-max-prime-limit if and only if all primes of its factorization into primes are right-bounded to pmax. | ||
==Minimal factor limit== | ==Minimal factor limit== | ||
Latest revision as of 18:29, 16 June 2020
Purpose
An harmonic limit is a set of positive rational numbers whose the prime numbers into its prime factorization are right-bounded.
The goal of this page is to list several kinds of positive rational number limiting subsets.
Minimal prime limit
A positive rational number q belongs to the pmin-min-prime-limit if and only if all primes of its factorization into primes are left-bounded to pmin.
Maximal prime limit
Also called harmonic limit.
A positive rational number q belongs to the pmax-max-prime-limit if and only if all primes of its factorization into primes are right-bounded to pmax.
Minimal factor limit
A positive rational number q belongs to the fmin-min-factor-limit if and only if the sum of the exponent absolutes of its factorization into primes is left-bounded to fmin.
Maximal factor limit
A positive rational number q belongs to the fmax-max-factor-limit if and only if the sum of the exponent absolutes of its factorization into primes is right-bounded to fmax.