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We have analysed this architecture through our analytical model.
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As can be seen from Figure 2, the exact curves match perfectly with the results generated through Monte Carlo simulations, validating our analytical expression.
We validate our analytical model through simulations.
Through extensive simulations, we validate our analytical results for the system when the data arrival and channel condition processes follow Bernoulli distribution.
Maybe it is our analytical human brains, through the eye, searching for order, meaning and pattern in a random design.
Our analytical findings are verified through numerical results and computer simulations.
Through our errors cancellation approach and analytical model, a hardware designer can now minimise the effects of the filter coefficients quantisation and predict subsequently the range values of the computation errors depending on the fractional precision used.
In principle, the pulstrode sensor, unlike the earlier single-use polyion selective membrane electrodes, should be useful as a detector in flow-through analytical systems.
We articulate our model through statistical and analytical analyses.
In our previous study [1, 2], hydroelectric generation capacity of a paddle wheel had been evaluated through both analytical calculations and computational fluid dynamic (CFD) simulations.
Our analysis may also be improved through analytical modeling of errors (i.e., model-based inference) produced by both the LiDAR-to-carbon and national-scale models [60], as well as an improved understanding of spatial autocorrelation of errors.
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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