Sentence examples for modulus of continuity from inspiring English sources

The modulus of continuity may take a continuous concave function by (omega(t)=inf{lambda(t):lambda(t) text{ concave and continuous with }lambda(t gealpha(t text{ for any modulus of continuity } alpha(t)}).

Which means that the first partial derivatives are continuous with modulus of continuity (nu _1 varepsilon )=nu (varepsilon )varepsilon ^{-1}).

This characterization is done in terms of the modulus of continuity of the functions.

Let (omega ) be a modulus of continuity.

be the usual modulus of continuity of.

Now, we recall the notion of modulus of continuity.

Thus the modulus of continuity of is a function (3.10).

These estimates were obtained by the usual modulus of continuity.

Here the modulus of continuity is nondecreasing and satisfies (1.6).

for some modulus of continuity function ρ 1.

Now let ρ denote the modulus of continuity of ξ.