Sentence examples for an unbounded time from inspiring English sources

However, general explicit formulas for calculating the variance of the discounted costs over an unbounded time horizon are not yet available.

Definition 4.1 The nabla Sumudu transform of a regulated function f : T a → R is given by S a { f } ( u ) : = 1 u ∫ a ∞ e ˆ ⊖ 1 u ( ρ ( t ), a ) f ( t ) ∇ t for all  u ∈ D { f }, where a ∈ R is fixed, T a is an unbounded time scale with infimum a, and D { f } is the set of all nonzero complex constants u for which 1 u is ν-regressive and the integral converges.

Note that Theorem 5.3 holds for any unbounded time scale.

For the reason of our purpose, in this section we suppose that is an upper unbounded time scale, that is,.

Like to our approach, processes can fail by crashing and the crash of any process is detected after a finite but unbounded time interval by a failure detection module.

In this work, we address the periodic coverage phenomenon on arbitrary unbounded time scales and initiate a new idea, namely, we introduce the concept of changing-periodic time scales.

Emma, unlike Regina, is a free spirit, dressed most often in jeans and a leather jacket and possessed of seemingly unbounded time to spend with her son and his fantasies.

In this paper, we consider oscillation criteria for certain third-order delay and advanced dynamic equations on unbounded time scales.

In [31], the pinning control problem of linearly coupled RDNNs with unbounded time delays was also considered.

For these problems defined in the unbounded time domain, we use the rational normalized Bernstein functions as basis functions to approximate the exact solution.

On the other hand, using CSMA scheme is less complex, supports variable packet sizes and requires no strict synchronization but has problems such as unbounded time delay and consecutive packet drops especially in high-density networks.