User:Contribution/Limit: Difference between revisions

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==Minimal prime limit==

A positive rational number q belongs to the pmin-limit, called the '''minimal prime limit''', for a given prime number pmin if and only if it can be factored into primes (with positive or negative integer exponents) of size more than or equal to p.

A positive rational number q belongs to the pmin-limit, called the '''minimal prime limit''', for a given prime number pmin if and only if it can be factored into primes (with positive or negative integer exponents) of size more than or equal to pmin.

In other words, a positive rational number q belongs to the pmin-limit if and only if all primes of its factorization into primes are left-bounded to pmin.

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==Maximal factor limit==

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 fmax.

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.

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 ==Minimal prime limit==
-A positive rational number q belongs to the pmin-limit, called the '''minimal prime limit''', for a given prime number pmin if and only if it can be factored into primes (with positive or negative integer exponents) of size more than or equal to p.
+A positive rational number q belongs to the pmin-limit, called the '''minimal prime limit''', for a given prime number pmin if and only if it can be factored into primes (with positive or negative integer exponents) of size more than or equal to pmin.
 In other words, a positive rational number q belongs to the pmin-limit if and only if all primes of its factorization into primes are left-bounded to pmin.
@@ Line 27: / Line 27: @@
 ==Maximal factor limit==
-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 fmax.
 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.