Exact(2)
Apparent diffuse layer potentials resulting from the fits to the full solutions of the Poisson Boltzmann equation show that the fiber surfaces bear a negative surface charge.
Numerical examples are given comparing the predictions of the surface mode dispersion relation to full solutions of the Pridmore-Brown equation, and the accuracy with which surface modes are predicted is shown to be significantly increased compared with the uniform slipping flow assumption.
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A full solution of this theory relies upon numerical simulations.
The full solution of the Riemann problem (Riemann solver) is also given by elementary functions.
The full solution of the time dependent Navier-Stokes equations was used to model inertial deposition on cylindrical collector at 30 ≲Rec ≲ 40,000.
Aforementioned 1D procedures were then compared to a procedure wherein the full solution of Maxwell's equations, which describe the electromagnetic signal response into the soil, is applied.
This is related to the problem of removing the so called buffer assumption of Hytönen Nazarov, which is the final barrier for the full solution of S. Hofmann's problem.
This shows that despite their limitations, the cumulative approximations of the EMI signal response can be used as a valuable and effective alternative to the full solution of Maxwell equations within EMI inversion procedures, especially when the measurements are mainly situated within the LIN measurement range.
Although the passage is not easy to interpret, his main point seems to be to emphasize that analysis must be supplemented by synthesis to yield a full solution of anything.
A rigorous approach to obtain μ n (T n ) in the case of strong inhomogeneous instantaneous fields would require a full solution of the microscopic Boltzmann equation, which is practically an impossible task for realistic devices.
First we focus on the full solution of individual replicators, and therefore we study the evolutionary trajectory from the point in time where such a solution arises in the predator population.
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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