Sentence examples for any given positive from inspiring English sources

for all, where is an any given positive real number.

We show that for the prescribing scalar curvature problem on Sn (n = 3, 4), we can perturb (in an explicit way) any given positive continuous function in any neighborhood of any given point on Sn such that for the perturbed function there exist many solutions.

Let be any given positive number.

end{aligned} For any given positive integer n, let (g_{n}(s)) be an odd function.

For any given positive integer m, let (g_{m}(s)) be an odd function.

Suppose that ((u(x),v(x))) is any given positive steady-state solution of system (1.2).

Participants were informed that they could discontinue testing at any time and were given positive comments throughout the testing.

But in any given season, positive buzz (like this article) can increase bookings for week nights and ensure that cancellations are easily filled.

In the second example, we can obtain an approximate solution with any given strictly positive tolerance level.

For any given individual positive instance, such placement has probability 1 − j N n + 1.

Give positive feedback and encourage them".