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Exact(12)
The quantized mean is obtained by the following equation: (14).
Step 4. The quantized mean is obtained in the same manner as (14).
The watermarked value of the quantized mean is obtained as follows: (i) when, (15) (ii) when, (16) .
We calculate the energy of each piano note played with different performance techniques and, then, the mean is obtained.
The scintillation index S4, defined as the standard deviation of signal intensities divided by their mean, is obtained every minute.
This local mean is obtained by averaging the lower and upper envelopes obtained through interpolation between the local maxima and minima.
Similar(48)
Then thresholds of extinction and persistence in mean were obtained.
Then, applying comparison theorem for stochastic differential equation, sufficient conditions for extinction and persistence in the mean are obtained.
Sufficient conditions for extinction, non-persistence in the mean, weak persistence in the mean and strong persistence in the mean are obtained.
In Fig. 1, the mean was obtained at the fourth level of a Sparse Grid constructed using the Gauss Patterson (GP) quadrature rule, which requires 18591 function calls.
All samples were amplified in duplicate and the mean was obtained for further calculations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com