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Exact(3)
This formula is used to bracket the interface plane constant such that the volume-matching problem is rewritten in a single prismatoid in which the same formula is used to find the final solution.
Thus, the optimization problem is rewritten as max ∑ i = 1 m s i · ∑ j ∈ J i r ij x ij - c · ∑ j ∈ J i ∩ J i - 1 r ij ( x ij - z ij ) + ∑ j ∈ J i - J i - 1 r ij x ij (7).
Using the concept of paths, the GKO problem is rewritten to an equivalent nonlinear programming problem.
Similar(57)
Thus, the problem (2) is rewritten into the form of abstract evolution equation (3).
The minimization problem in (5) is rewritten as.
The constrained optimization problem (9) of ESBW design is rewritten here as min s s R ̂ i s H, s.t.
This can be done following the same steps as in the proof of Theorem 9.2 in [1] (that describe the way that our problem can be rewritten as a Cauchy problem of type (1)) and applying our main result.
Next we present an example, in which a separable optimization problem can be rewritten as a split equality problem.
It is shown that the input signal design problem can be rewritten as a set of upper bound constraints and therefore solved using an existing algorithm.
In the proposed algorithm, we show that this optimal input design problem can be rewritten as that for discrete-time systems proposed by Antoulas et al.(Antoulas and Anderson, 1999; Antoulas, 1997; Antoulas and Astolfi, 1998), if the input is approximated by the finite Fourier series expansion.
Then the original optimization problem can be rewritten as follows: (37).
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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