Plateau (mathematics)
Encyclopedia
A plateau of a function
is a part of its domain
where the function has constant value.
More formally, let U, V be topological space
s. A plateau for a function f: U → V is a path-connected set of points P of U such that for some y we have
for all p in P.
Function (mathematics)
In mathematics, a function associates one quantity, the argument of the function, also known as the input, with another quantity, the value of the function, also known as the output. A function assigns exactly one output to each input. The argument and the value may be real numbers, but they can...
is a part of its domain
Domain (mathematics)
In mathematics, the domain of definition or simply the domain of a function is the set of "input" or argument values for which the function is defined...
where the function has constant value.
More formally, let U, V be topological space
Topological space
Topological spaces are mathematical structures that allow the formal definition of concepts such as convergence, connectedness, and continuity. They appear in virtually every branch of modern mathematics and are a central unifying notion...
s. A plateau for a function f: U → V is a path-connected set of points P of U such that for some y we have
- f (p) = y
for all p in P.