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The ST technique is based on an analytical approximation for the transition probability density.
In our measurements, we fit our results to an analytical approximation for the nonlinear resistance, where k B is the Boltzmann constant.
For a thin lens, i.e. a two-dimensional model problem, we give an analytical approximation for the distribution of temperature, a quantity of great importance for the prediction of the performance of the lens.
We discuss an analytical approximation for high and low priority packet delay in the cut-through architecture of the N nodes resilient packet transport rings based on the queuing theory.
Telschow et al. [27] derived for bidirectional CI an analytical approximation for the effective migration rate.
We present analytical results for all three findings: (a) a lower estimation of the critical migration rate in the presence of local adaptation, (b) an analytical approximation for the gene flow reduction caused by unidirectional CI, and (c) a heuristic formula describing the invasion success of mutants at a mate preference locus.
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In this section, we provide an analytical approximation of optimum power allocation for a three-node cooperative network, with a source S, a relay R, and a destination D. This analysis provides some insight for the formulated problem in section 5.3.
In order to obtain a value for the false-positive rate for any generated score S, an analytical approximation of this score distribution was determined (Materials and Methods).
Assuming that the true solution is periodic, our goal is to find an analytical approximation that is valid for all t.
An analytical approximation is used for the reliability estimation that allows for computationally efficient, gradient-based design optimization.
This limit (for ), denoted as, depends only on and in Appendix C we derive a simple analytical approximation for it.
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