Sentence examples for for each whenever from inspiring English sources

By hypothesis, for each whenever for some.

Then is strictly decreasing in for each whenever.

We also say that the representation has property (B) if for each whenever a net converges to then the net also converges to for each.

for all and all ; is a continuous function such that the function is convex of order for each whenever and ; there exists a continuous nondecreasing function such that (4.4).

We assume that the functions,, and satisfy the following conditions: is a given integer number; is a continuous function which is convex of order for each ; is a continuous function such that for all and the function (4.2). is convex of order for each whenever is convex of order for each ; there exists a continuous function which is nondecreasing in each variable and satisfies (4.3).

We also design a scheduler structure for multiple frequency channels that chooses a good channel for each user whenever possible to exploit frequency diversity.

For the necessity of (i), suppose that t m n ( A x ) = ∑ k a ( n, k, m ) x k. exits for each n whenever x ∈ ω p ( s ).

Maps and are said to becompatible if for each and whenever is a sequence in such that and for some [21].

In this figure, rNEMO had the highest signaling overhead, as the MAG performed a location update for each MN whenever the mobile network moved to another MAG.

For any nonempty subset of a metric space, the diameter of is denoted and defined by = sup A mapping has diminishing orbital diameters [19, 20] if for each and whenever there exists such that.

all nuclei appear simultaneously, the nuclei remain fixed in position throughout the growth process, each nucleus grows isotropically, i.e., at the same rate in all directions, the growth stops for each cell whenever it comes into contact with a neighboring cell.