释义 |
continuous at a point continuous at a point[kən¦tin·yə·wəs ad ə ′pȯint] (mathematics) A function f is continuous at a point x, if for every sequence {xn } whose limit is x, the sequence f (xn) converges to f (x); in a general topological space, for every neighborhood W of f (x), there is a neighborhood N of x such that f -1(W) is contained in N. |