uniformly continuous

English - English

Definition of uniformly continuous in English English dictionary

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.

Hyphenation

u·ni·form·ly con·ti·nu·ous

Turkish pronunciation

yunıfôrmli kıntînyuıs

Pronunciation

/ˈyo͞onəˌfôrmlē kənˈtənyo͞oəs/ /ˈjuːnəˌfɔːrmliː kənˈtɪnjuːəs/