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We do a search over a two-dimensional surface: since we know the initial conditions of the game, the trajectories can be computed numerically using the expressions in Eq. (26).
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Using the expression in Equation 29, we have to construct resolution cells.
Using the expression in (5), the time function can be further transformed to the frequency domain as shown below: (6).
Using an expression in accordance with its meaning, is using the expression in a way that 'makes sense', and does not violate these rationality constraints.
However, it did seem to me that the man was not using the expression in a derogatory fashion.
The 2−ΔΔCT method (Livak and Schmittgen 2001) was used to calculate fold changes in the expression levels of PSUcentSat sequence in different genomes, using the expression in PSU as control.
Figure 3 illustrates the analytical performance using the expressions given in Section 6.1.
These curves have been obtained by using the expressions reported in Section 3.3.
Using the expressions obtained in (7), we are able to calculate (8) using a numerical Gaussian quadrature instead of Monte-Carlo simulations as shown in [2].
To study the substrate effect in band gap opening in graphene, we compute DOS and electron band dispersion near Dirac point using the expressions given in Eqs.
In the course of dictating a letter, he used the expression "in the not too distant future".
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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