Exact(5)
For the first, we test against the null hypothesis that the phase sample is taken from the uniform circular distribution (Rayleigh test, cf. Mardia and Jupp 2000), which is expected by assuming a regular (e.g., filtered) field potential and independent random spiking.
The application of such filters for explicit filtering in large eddy simulations and the issue of boundary conditions for the filtered field are also discussed.
It is also shown that the commutation error can be expressed in terms of the filtered field and its derivatives as an asymptotic series in the square of the filter width.
For better computational efficiency, a local-domain high-order filter was introduced: The filter equation is applied to multiple cells, and then the central cell was only used to reconstruct the filtered field.
Third, in a rigorous approach, the filtered field is used to retrieve the scattered object function.
Similar(55)
The computed fractal dimensions between the resolved and the Taylor-microscale filtered fields are almost identical.
These results are then applied to the Navier-Stokes equations to derive the basic equations satisfied by the filtered fields.
RNA from pelleted cells (laboratory cultures) and filters (field samples) was extracted using the Qiagen RNEasy kit (Qiagen, Hilden, Germany) according to the manufacturer's instructions.
The effects of the system parameters such as filtering field and duct bias on the plasma properties were investigated using Faraday cup, Langmuir and current probes.
Negative control quartz filters (field blanks) were extracted and analyzed with each set of air samples.
After removing from the radial field at the core surface the time-averaged axisymmetric component, they high-pass filtered the field with a cutoff period of 400 years.
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