uniformly continuous

短语

释义与例句

adj.
  1. 1.

    That for every real ε > 0 there exists a real δ > 0 such that for all pairs of points x and y in X for which D_X(x,y)<δ, it must be the case that D_Y(f(x),f(y))<ϵ (where D_X and D_Y are the metrics of X and Y, respectively).

    数学

    A uniformly continuous function is a function whose derivative is bounded.