In mathematics, the zero set of a real-valued function f : X → R (or more generally, a function taking values in some additive group) is the subset of X (the inverse image of {0}). In other words, the zero set of the function f is the subset of X on which . The cozero set of f is the complement of the zero set of f (i.e. the subset of X on which f is nonzero).
Zero sets are important in several branches of geometry and topology.
Read more about Zero Set: Topology, Differential Geometry, Algebraic Geometry
Famous quotes containing the word set:
“One, two and many: flesh had made him blind,
Flesh had one pleasure only in the act,
Flesh set one purpose only in the mind—
Triumph of flesh and afterwards to find
Still those same terrors wherewith flesh was racked.”
—Robert Graves (1895–1985)