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As we previously pointed out, this assumption is rarely realistic in practice.
The voltage sent to the disturbance speaker provides an optimal reference signal which is not realistic in practice.
Here we consider the important problems of two-dimensional parabolic rat-holes of profile y=ax2, and three-dimensional cubic rat-holes of profile z=ar3, which are both physically realistic in practice.
For this problem, which on the face of it appears intractable, we show how factors relevant to natural language presentation enable an optimised solution that is realistic in practice.
The probabilistic models traditionally used to estimate the expected number of failures account for the first two states, but they do not properly apply to the last one, which is more realistic in practice.
The probabilistic models traditionally used to estimate the expected number of failures account for the first two states, but they do not properly apply to the last three, which are more realistic in practice.
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In this paper, we adopt the model driven by both Brownian motion and Poisson process (see (1) and (2)), since jump diffusion processes characterize stochastic phenomena better than just Brownian motion diffusion processes, providing us more realistic models in practice.
This scenario is realistic because in practice, most sires and maternal grandsires are in fact genotyped.
These latter two situations are perhaps more realistic because in practice no candidate model would correspond to the true model.
This is quite realistic as, in practice, the environmental variables chosen for sampling design are often only a sub-set of the ones used, in a second stage, for studying the relationships between the environment and the field sampling results.
This could be a realistic scenario in practice, for example, when a questionnaire study that measures two traits is extended during the data collection to include two additional traits, or when data from different studies are combined (one study in which all four traits were measured, while another study only included measurements of two traits for, e.g., economical reasons).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com