The technique of harmonic approximation allows the author to simplify the original -regularity theorem due to Schoen and Uhlenbeck [9].
The hybrid type of the function approximation allows the global and local approximations to construct the profiles in the whole design space and some local regions, respectively.
Consequently, the random scattering approximation allows the calculation of an effective wavefront with an amplitude and phase resulting from the summation over many random scattering events.
This approximation allows the derivation of a model that has an analytical solution in the form of conditional probabilities (Equation 12).
To help develop testable predictions, Nunney (1999a) modelled the accumulation of somatic mutations in the development of cancer during two stages of development, growth and stem cell maintenance, and here, we focus on the stage of postgrowth maintenance, because he noted that a simple approximation allows the growth phase to be incorporated into that model.
The use of MLS approximations allows the direct reconstruction of high-order viscous fluxes using quite compact stencils, and without introducing new degrees of freedom, which results in a significant reduction in storage and workload.
However this is not the case for the spatial argument and so we propose to make use of automated mesh generating routines to both localise the approximation, allowing quadrature costs to be kept moderate, and give versatility in the code for different geometric configurations.
This approximation allows for the application of a known solution for the a scattering efficiency factor, Q, as detailed in the Supporting Information Methods.
The approximation allows to reduce the number of dynamical variables to the number of neural populations, and so it drastically reduces the computational cost associated with a scan in parameter space.
Although the proposed functions do not perfectly match the ACM rain event as it suffers from intensive fluctuations, we believe that the proposed sinusoidal approximation allows to represent the general situation in which the satellite capacity is reduced.
