Infinity on High with a 54% decline during a post-Grammy week. The album rose to number three in its third week with 79,000 units sold. In its fourth week, the disc slipped to number four and sold 67,000 copies. "Infinity on High"s sales again fell in its fifth week, moving 58,000 copies and descending to number eight on the chart. In its sixth and last week in the top ten it fell to number nine and sold 43,000 copies. In April 2007, the album was certified Platinum by the Recording Industry Association of America (RIAA), denoting the shipment of one million copies. It
Vanish at infinity 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 functions (where formula_14 is