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Finally, we demonstrate that the assumption of normality can be relaxed to consider arbitrary distributions numerically.
The derived sample points can be adapted to random variables of arbitrary distributions and correlations.
We find in the appendix for arbitrary distributions of sensor location and sensing range.
GMMs are commonly used to model continuous pdfs, since they can flexibly approximate arbitrary distributions.
However, most plasma processing environments contain more arbitrary distributions of particle size.
Fourier representation of the boundary asymmetries allows analysis of arbitrary distributions of asymmetry.
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Service times at Station 1 are independent identically distributed random variables having an arbitrary distribution.
The expected value and variance of this area are derived for sensors distributed randomly according to an arbitrary distribution function.
Moreover, we checked that the emergence of this pattern is independent from the chosen initial configuration, e.g. the same occurs if one takes an arbitrary distribution of random 'seeds' consisting in many different viral phenotypes distributed along the niche axis.
The seemingly arbitrary distribution of colours at Cologne was generated using a specially developed computer programme, and his renewed interest in using chance to determine composition led Richter to develop the idea for 4900 Colours at the Serpentine.
It is clearly a serious problem to calculate E everywhere for an arbitrary distribution of charge, and then to adjust the distribution to make it vanish on the conductor.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com