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In addition, an optimization approach is formulated that minimizes the average bit-error probability of a hybrid DS/FFH communication system and solves for the system design parameters that achieve an optimal performance level.
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Now it is required to solve for the system reliability for a planned 30-day use.
The problem is solved for the system which the number of its series components is of order of the number of its parallel components.
To discretize the problem, the 3-D excess (above hydrostatic) pore-fluid pressure field is represented by the superposition of the tri-cubic B splines (the basis function), and the expansion coefficients are the model parameters to be solved for the system of linear observation equations.
In order to solve for the system of inequalities, you will need to temporarily change the inequalities to equations, allowing you the ability to find values for x and y.
In addition, an optimization approach is formulated that minimizes the bit error performance of a hybrid DS/FFH communication system and solves for the resulting system design parameters.
By employing the Karush-Kuhn-Tucker conditions, the process solves for the optimal system design parameters.
Recently Zhang et al. [ 31] demonstrated how three calibration signals can be used to solve for all the system polarization distortions in a fiber-based PS-OCT setup if no a priori knowledge on the theoretical setup modeling is considered.
These discussions include the specification of the future long cable system, and show the subjects to solve for the future system.
This provides a substantial CPU savings as Lyapunov equations are solved for the coarse system.
More importantly, the problem of unexpected passenger flows needs to be solved for the complex system of popular urban transportation.
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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