Tennis a new point. A game consists of a sequence of points played with the same player serving. A game is won by the first player to have won at least four points in total and at least two points more than the opponent. The running score of each game is described in a manner peculiar to tennis: scores from zero to three points are described as ""love"", ""15"", ""30"", and ""40"", respectively. If at least three points have been scored by each player, making the player's scores equal at 40 apiece, the score is not called out as "40-40", but
Zero of a function a "zero locus". In analysis and geometry, any closed subset of formula_32 is the zero set of a smooth function defined on all of formula_32. This extends to any smooth manifold as a corollary of paracompactness. In differential geometry, zero sets are frequently used to define manifolds. An important special case is the case that formula_1 is a smooth function from formula_35 to formula_32. If zero is a regular value of formula_1, then the zero set of formula_1 is a smooth manifold of dimension formula_39 by the regular value theorem. For example, the unit formula_40-sphere in formula_41 is the zero