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This constrained optimization problem can be solved by minimizing the Lagrangian [27]: (25).
Many problems in engineering can be solved by minimizing a measure of cost or maximizing a measure of performance.
Also the inner walls are made by printed circuit board which has thin Cu foil, two problems such as mechanical vibration and thermal expansion can be solved by minimizing unwanted eddy current.
It can be solved by minimizing the cost function: (4) minimize X, Θ ∑ i, j (| | x i − x j | | 2 − Θ (c i j ) ) 2 Θ (c i j ) 2 with respect to the embedding X and the function Θ, where Θ is a decreasing function.
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The model-based inverse problem is solved by minimizing a cost functional using genetic algorithms.
The problem is solved by minimizing a functional depending on the eigenvalues and traces of corresponding eigenmodes.
Thereafter, FGP models are formulated and the linear fractional BL-MODM problem is solved by minimizing the negative deviational variables.
This problem is solved by minimizing an upper bound for the error resulting from the truncation of the kernel expansion into a finite number of functions.
This is solved by minimizing the sum of squared residual errors of the Euclidean transformation for (n) control points using the following: ∑ 1 n ∥ e i ∥ 2 = ∑ 1 n ∥ p Site i − s R P Thermal i − T ∥ 2 (6).
Optimal values of the design parameters including the sample size, the sampling intervals, and control limit coefficient are solved by minimizing the expected total cost per unit time, based on the varieties of combinations of Weibull parameters.
Six free parameters (x0, y0, z0, t0, γ, θ) that define the fireball trajectory are solved by minimizing the rms residuals: (3) where n is the number of observations, tpred, i is the predicted arrival time of the signal at the i th station, and tobs, i is the measured arrival time of the signal at the i th station.
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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