Vanish at infinity

（重定向自Rapidly decreasing）

In mathematics, a function on a normed vector space is said to vanish at infinity if

For example, the function

defined on the real line vanishes at infinity.

More generally, a function $f$ on a locally compact space (which may not have a norm) vanishes at infinity if, given any positive number $\epsilon$ , there is a compact subset $K$ such that

单词	Rapidly decreasing
释义	Rapidly decreasing 原声例句生活中的科学 After a brief high, your mood rapidly decreases. 短暂的兴奋过后，你的情绪会迅速下降。英语百科 Vanish at infinity （重定向自Rapidly decreasing） In mathematics, a function on a normed vector space is said to vanish at infinity if For example, the function defined on the real line vanishes at infinity. More generally, a function $f$ on a locally compact space (which may not have a norm) vanishes at infinity if, given any positive number $\epsilon$ , there is a compact subset $K$ such that
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