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We seek the "optimal" for which is a minimum.
Currently, however, it is still unknown how to determine which treatment is optimal for which patient.
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This further complicates the optimization problem and poses the challenge of finding the optimal dimensions for which gold nanoshells of a fixed absorption efficiency exhibit the lowest scattering.
When the pump power and CL parameters were fixed, there existed an optimal SFBW for which the highest output pulse energy could be obtained.
We begin in this paper with the characterization of (self-adjoint) boundary conditions with optimal regularity, for which we will derive the heat asymptotics and index theorems in subsequent publications.
and, thus, the problem provides optimal solution for which means that.
Next we prove that is the optimal value for which the inequality holds.
Thus the "optimal" interval, for which is a minimum, is the interval ; this gives and.
Receiver operating characteristic (ROC) curves were generated to determine the optimal threshold for which the nADC and ADCmin values would predict tumor histology.
As a final result there is an optimal diameter for which a maximal value for the velocity is reached.
The optimal point for which the minimum 1 is achieved for this function is at x * = 0.1.
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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