User:Contribution/Limit: Difference between revisions
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A positive rational number q belongs to the fmin-factor-limit, called the '''minimal factor limit''', for a given positive integer f if and only if the sum of the exponent absolutes of its factorization into primes is more than or equal to fmin. | A positive rational number q belongs to the fmin-factor-limit, called the '''minimal factor limit''', for a given positive integer f if and only if the sum of the exponent absolutes of its factorization into primes is more than or equal to fmin. | ||
In other words, a positive rational number q belongs to the fmin-limit if and only if the sum of the exponent absolutes of its factorization into primes | In other words, a positive rational number q belongs to the fmin-limit if and only if the sum of the exponent absolutes of its factorization into primes is left-bounded to fmin. | ||
==Maximal factor limit== | ==Maximal factor limit== | ||
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A positive rational number q belongs to the fmax-factor-limit, called the '''maximal factor limit''', for a given positive integer f if and only if the sum of the exponent absolutes of its factorization into primes is less than or equal to f. | A positive rational number q belongs to the fmax-factor-limit, called the '''maximal factor limit''', for a given positive integer f if and only if the sum of the exponent absolutes of its factorization into primes is less than or equal to f. | ||
In other words, a positive rational number q belongs to the fmax-limit if and only if the sum of the exponent absolutes of its factorization into primes | In other words, a positive rational number q belongs to the fmax-limit if and only if the sum of the exponent absolutes of its factorization into primes is right-bounded to fmax. | ||