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As a result the sums at the left-hand side of (26) are a polynomial in z, its coefficients may depend explicitly on y. (square ).
As a result, the sums at the left-hand side of (7) are a polynomial in z the coefficients of which may depend explicitly on y. (square ).
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If the constraints in the problem do not depend explicitly on time, then it may be shown that H = T + V, where T is the kinetic energy and V is the potential energy of the system i.e., the Hamiltonian is equal to the total energy of the system.
One goal is that the transient and asymptotic performances depend explicitly on the design parameters.
The effective properties and their resonance frequencies depend explicitly on the shape of the scatterers.
Equation (5) does not depend explicitly on the average Wi-Fi packet duration TW.
We also consider that the coverage areas depend explicitly on the available energies at the batteries.
and then couple its solution to a second Riccati by making the coefficients of the latter depend explicitly on : (2.4).
This suggests that our derived error estimates do not depend explicitly on ε as predicted by Theorem 3.3.
Rather, we model trade-offs between care provision, fecundity, and mortality that do not depend explicitly on time.
The expected value of the cumulative branch size (see Methods) is given by (5) At large n, the leading contributions are A ~ z n and C ~ nz n (we do not write explicitly prefactors which may depend on z but not on n).
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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