This analysis addresses the use of a two-level approximation to simplify expressions derived from perturbation theory.
To reduce the computational cost, Gray and Bleistein (2009) used the stationary-phase approximation to simplify the double integral about the emergence angles of source and receiver.
In what follows, we use this single LN approximation to simplify our mathematical treatment and then characterize the radio channel attenuations in various coexistence scenarios.
As mentioned above, we imposed 6-fold symmetry as a first approximation, to simplify the alignment and reconstruction problem.
The N B ^ estimator is also an approximation to the full likelihood, but makes use of the continuous approximation to simplify the calculations.
As a result of the approximations made, to simplify the calculations, random error can be introduced into the SEA model.
In this work, the error associated with two common approximations used to simplify space radiation vehicle analyses, scaling into equivalent materials and material reordering, are investigated.
Our aim here is to describe the behavior of the synthesis-degradation loop and the various approximations used to simplify it.
In [14] Simon used harmonic approximation method to simplify Allard's [15] regularity theorem and later on Schoen and Uhlenbeck's [16] regularity result for harmonic maps.
This study uses an approximation procedure to simplify DC distance calculation details, and develops an algorithm to solve the aforementioned supply chain management (SCM) problems using nonlinear optimization techniques.
