Sentence examples for an increasing convex from inspiring English sources

Let be an increasing convex function on,,.

Let be an increasing convex function on with.

Since is an increasing convex function, is a convex function.

Since is an increasing convex function, we obtain (2.13).

Therefore, (varphi(p)) is an increasing convex function in ((0,1]).

If is an increasing convex function on and, then the reverse inequality in (3.2) holds.

For a well-mixed population (complete graph), cooperation is favored if and only if b/c > 1 + λ ; for other graph structures, the critical b/c ratio is a increasing, convex function of λ.

To derive this, we use the following proposition: a composition of a monotonically increasing convex function and a convex function is still convex.

The types of instances we consider are C-benevolent instances, where the weight of an interval is a monotonically increasing (convex) function of length, and D-benevolent instances, where the weight of an interval is a monotonically decreasing function of length.

Let be a strictly increasing convex function on with and a domain in.

Let be a strictly increasing convex function on with, and be a bounded domain in.