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Most TRT analysis methods apply the mean of the inlet and outlet temperatures of the circulating fluid along the entire borehole length.
In the upscaling of mixing-controlled reactive transport, I apply the mean velocity and the effective dispersion coefficient to the macroscopic transport calculations, whereas the reactive parameters on the macro-scale are identical to those on the local scale.
end{aligned} Now we apply the mean value theorem and the Taylor formula.
To solve the optimization problem, the authors apply the mean value cross-decomposition method, which results in an implementation-friendly solution.
To conclude the proof, it remains to take into account (4.7) and apply the Mean Value Theorem: φ ( 1 ) − φ ( 0 ) = φ ′ for some ε ∈ ( 0, 1 ).
We apply the mean market output in order to account for scale effects which may not be adequately captured by variability between farms in the mean market income or land area.
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For the purpose of the first aim (dimensionality in symptom load in relation to help-seeking), we apply the mean-score of the scale as a continuous variable (each sum-score value labelled with percentiles in the total population).
Equal Pay Day is calculated by applying the mean gender pay gap to the calendar year.
The fatigue life was shortened when applying the mean stress for the same strain range, whereas it was increased for the same stress amplitude.
Specifically, the manipulation applies the mean value theorem for integration to 1/r in the proper fin domain extending from the inner radius r1 to the outer radius r2.
This paper proposes two MPT models, one applying the Mean Variance Criterion (MVC) and the other one the Conditional Value at Risk (CVaR).
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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