Infinity symbol in bookbinding to indicate that a book is printed on acid-free paper and will therefore be long-lasting. In modern mysticism, the infinity symbol has become identified with a variation of the ouroboros, an ancient image of a snake eating its own tail that has also come to symbolize the infinite, and the ouroboros is sometimes drawn in figure-eight form to reflect this identification, rather than in its more traditional circular form. In the works of Vladimir Nabokov, including "The Gift" and "Pale Fire", the figure-eight shape is used symbolically to refer to the Möbius strip and the infinite, for instance
Vanish at infinity the same good property. Vanish at infinity 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 formula_4 on a locally compact space (which may not have a norm) vanishes at infinity if, given any positive number formula_5, there is a compact subset formula_6 such that whenever the point formula_8 lies outside of formula_6. In other words, for each positive number formula_5 the set formula_11 is compact. For a given locally compact space formula_12, the set of such