Sentence examples for both nonnegative and continuous from inspiring English sources

It is clear that ω is singular at (t=0) and f is both nonnegative and continuous.

For example, we can take α ( t ) = t 3. It is clear that ω is singular at t = 0 and f is both nonnegative and continuous.

Corollary 2.1 Suppose that (C1 - C3) and (C5) hold, and that the functions g j and h j ( j = 1, 2 ) are both nonnegative and continuous on [ x 0, ∞ ) × [ x 0, ∞ ).

where, is a nonnegative and continuous function.

since g is nonnegative and continuous.

A map is a nonnegative continuous concave or convex functional map provided is nonnegative and continuous and satisfies (2.1).

Let and be topological spaces, let be nonnegative and continuous and let be lower semi-continuous.

Suppose that and are nonnegative continuous concave functionals on, and that,, and are nonnegative continuous convex functionals on such that, for some positive numbers and, (42).

Suppose that and are nonnegative continuous concave functionals on, and that,, and are nonnegative continuous convex functionals on such that, for some positive numbers and, (4.2). for all.

Let and be nonnegative continuous concave functionals on, and let and be nonnegative continuous convex functionals on ; then for positive numbers and, define the sets.

It is easy to see that (i) is nonnegative continuous;   (ii) ;   (iii) is bounded and continuous.  . is nonnegative continuous; ; is bounded and continuous.