Sentence examples for bounded by an exponential from inspiring English sources

Furthermore, the firing rate r ( t ) is bounded by an exponential: for some λ > 0, r ( t ) ≤ C e λ t.

Study of equations of the formM=F x, ∇ϕ; ϕ), whereF∈C∞(TX×R) is an everywhere strictly positive function with an exponential growth in |ϕ| and which is bounded by a power of the norm of the gradient ofϕ.

(i) and are bounded functions; (ii) is bounded; is an exponential; (iii) for some bounded exponential ; (iv),, where, is a bounded exponential and is a bounded function.

Now, we investigate bounded functions satisfying each of (2.2) and (2.3) (see [4, 11 13] for bounded solutions of an exponential functional equation).

Then is bounded or is an exponential and.

Figure 5 illustrates the utility function for this type of traffic, which is an exponential function bounded by the band capacity c x k. u k x k r k = r k * 1 − e − c k 3 b x k, (10).

These proportions are similar to those bounded by the multiples of the median survival in an exponential distribution: 28% of values between 0.67 to 1.5 times the median, and 46% between half to double the median, 10% more than three to four times the median, and 10%<1/66 of the median.

The Lagrangian mixing of the lowest order member of the family that is truly 3-D due to spiral arms is analyzed with linear theory, demonstrating that trajectory growth rates for the short, convective time scale are exponential and bounded by the extremal eigenvalues of the Jacobian.

The exponential backoff window is bounded by (16, 1,024) slots of 2-μ s duration.

The proportions of patients with actual survival times bounded by simple multiples of their predicted survival time were similar to those expected in an exponential distribution.

A cluster is bounded by if.