Now we remind further aspects of time scales calculus, which will be needed later (see, e.g., [3]).
For the further details concerning the time scales, please see [17 19] which are excellent works for the calculus of time scales.
Further, the study of time scales has led to several important applications, e.g., in the study of insect population models, neural networks, heat transfer, epidemic models, etc. [2].
Further, the study of time scales has led to several important applications, for example, in the study of insect population models, neural networks, heat transfer, and epidemic models, we refer to [8 10].
Knowing whether an IBD tract was co-inherited from a specific population, in fact, may provide information on the directionality of migration, and also offer further insight into deeper time scales, as shown in Campbell et al. (2012) and Velez et al. (2012).
Then, we analyzed its changing pattern in different time scales, and further model the link quality of HSR wireless network using hidden Markov chain.
We show empirical results demonstrating the effectiveness of this technique in axisymmetric gravitational collapse simulations, and further demonstrate that the solution time scales approximately linearly with problem size.
Further, the method of multiple time scales (MMTS) is exploited to carry out the nonlinear analysis with a view to predict the bifurcation characteristics of the reactor.
Since the results in [34] are linked to many well-known oscillation criteria in the literature, the interval oscillation criteria we have obtained provide further extensions of these to time scales.
We also show that our character embedding can employ a larger alphabet at little to no additional cost, further enhancing performance, as training time scales logarithmically with alphabet size instead of linearly.
