Definition von uniformly continuous im Englisch Englisch wörterbuch
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) , it must be the case that D_Y (f(x), f(y)) (where DX and DY are the metrics of X and Y, respectively)
A uniformly continuous function is a function whose derivative is bounded.