The phrase "a given time duration" is correct and usable in written English.
It can be used when referring to a specific or predetermined length of time in various contexts, such as scientific, technical, or general discussions.
Example: "The experiment was conducted over a given time duration to ensure accurate results."
Alternatives: "a specified time period" or "a designated time frame."
The cumulative distribution function of the extreme response over a given time duration is then calculate using mean upcrossing rate theory of nonstationary random process.
This, in turn, leads to the joint probability distribution of the extreme values of the non-Gaussian processes, over a given time duration.
Failure is assumed to occur when any one of the output states of interest exceeds in magnitude some specified threshold level within a given time duration.
Assume that, for a given time duration ([t,T]), the anticipated BSDEs (14) has an adapted solution ((Y_{t}^{t,x},Z_{t}^{t,x})).
As the dynamic relaxation method is applied, the network undergoes a structural dynamic process, where the explicit integration of time-dependent variables will be performed to obtain the evolutionary node positions over a given time duration until the convergence criteria are met.
Moreover, if we assume that traffic is uniformly distributed in the cell area, then we can calculate the percentage of traffic load in the area where the probability of handover at a given time duration τ is not equal to zero from Figs. 5 and 6.
If all Leaf switches are in timingmap for the given time duration Tdd, a number of Spine switches are deactivated.
The algorithm for activating a Spine switch is presented in Algorithm 2. For each Leaf switch, when the link utilizations of a given number (Na) of links connected with the given Leaf switch exceed FUT-H, and remain higher than SUT-H for the given time duration Tda, a Spine switch is activated.
However, when the stepwise procedure of AuNP incorporation and the DOX deployment is complicated, Au wt% is not directly proportional to the dead cell ratio at the given time duration.
This is because of the reliable transmission at higher instantaneous rate that decreases the average transmission time and allows more packets to be transmitted within the given time duration.
Given a time duration t, we can easily derive a snapshot of CDM for t, denoted as CDM t, by taking a union of all the PMIDs for the keys 〈c, y〉, where the year 'y' is within the given time duration t.
