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:
“1st Witch. When shall we three meet again?
In thunder, lightning, or in rain?
2nd Witch. When the hurly-burly’s done,
When the battle’s lost and won.
3rd Witch. That will be ere set of sun.
1st Witch. Where the place?
2nd Witch. Upon the heath.
3rd Witch. There to meet with Macbeth.”
—William Shakespeare (1564–1616)