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It seems unlikely that this important function has no equivalent in written English which retains the functions of Reference and Theme using the same grammatical realisations, but written English has not evolved a system to realise intonation and so it requires a different realisation for information structure.
Each point corresponds to a different realisation of (h(x)) and a different initial condition.
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As is illustrated in Figure 4, these tissue time-activity curves represent the measured activity concentration averaged across the VOI - which implies that, in the ensemble of volume elements (voxels) comprising a VOI, all voxels share the same parameters of the underlying physiological and biochemical processes, and only differ as they are different realisations of the same random process.
In this Appendix we analyse the difference between the data associated with different realisations of such competitive dynamics and the adjustments to real data in terms of stochastic models such as (m_{2} k)), (m_{3} k)), and (m_{4} k)) given by Eq. (2).
Subsequent comparison of different realisations of the same imaging method revealed differences in the performance of specific imaging platforms for different applications, and in some cases differences between different realisations of the same method for the same application 38– 40.
Different realisations for spoken and written information structure produce different reflexes in their variation.
These three solutions correspond to three different realisations of (h(x)).
Top: (L^{2}) norm of stable steady states of (3) for a Gaussian threshold distribution, with many different initial conditions, different realisations of (h(x)), and various (h_{0}).
This process was replicated 99 times to create a total of 99 simulated point patterns with different realisations of the non-stationary process.
A satisfactory proof of the equivalence of wave mechanics and matrix mechanics was only provided later, when von Neumann (1932) showed that both approaches could be seen as different realisations of an abstract Hilbert space formalism.
In this paper we used the intermediate-complexity multi-species model TreeMig to examine whether different realisations of future climate influences with the same temporal mean and the same interannual variability cause fundamental differences in simulated migration.
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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