Arbitrarily large

（重定向自Arbitrarily small）

In mathematics, the phrases arbitrarily large, arbitrarily small, and arbitrarily long are used in statements such as:

which is shorthand for:

"Arbitrarily large" is not equivalent to "sufficiently large". For instance, while it is true that prime numbers can be arbitrarily large since there are an infinite number of them, it is not true that all sufficiently large numbers are prime. "Arbitrarily large" does not mean "infinitely large" because although prime numbers can be arbitrarily large, an infinitely large prime does not exist since all prime numbers (as well as all other integers) are finite.

单词	Arbitrarily small
释义	Arbitrarily small 英语百科 Arbitrarily large （重定向自Arbitrarily small） In mathematics, the phrases arbitrarily large, arbitrarily small, and arbitrarily long are used in statements such as: which is shorthand for: "Arbitrarily large" is not equivalent to "sufficiently large". For instance, while it is true that prime numbers can be arbitrarily large since there are an infinite number of them, it is not true that all sufficiently large numbers are prime. "Arbitrarily large" does not mean "infinitely large" because although prime numbers can be arbitrarily large, an infinitely large prime does not exist since all prime numbers (as well as all other integers) are finite.
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