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Any feasible solution will involve a mix of public and private provision, coupled with public funding through higher taxes.
For any feasible solution of SDD, (3.18).
For any feasible solution of SDP and any feasible solution of SDD, (3.11).
A feasible solution is called an optimal solution of if, for any feasible solution,.
We model this as the following set of necessary conditions that must be satisfied by any feasible solution.
The algorithm constructs a linear programming problem for the system at hand, and any feasible solution to this problem parameterizes a Lyapunov function for the system.
Similar(22)
Considering the problems (AP) and (DCLFP), for any feasible solutions ((mathbf{y},alpha)) with (alpha>0) and ((mathbf{z},beta)) of problems (CLFP) and (DCFLP), respectively, we have alpha f_{0}+int_{0}^{T}bigl( mathbf{f}(t bigr)^{top}mathbf{y} (t),dtleqbeta.
Considering the primal and dual pair of problems (CLFP) and (DCLFP), for any feasible solutions x and ((mathbf{z},beta)) of problems (CLFP) and (DCFLP), respectively, we have frac{ f_{0}+int_{0}^{T} (mathbf{f}(t))^{top}mathbf{x}(t),dt}{ h_{0}+int_{0}^{T} (mathbf{h}(t))^{top}mathbf{x}(t),dt}leq beta.
For example, in multicell network 1b for SINR target γ l = 15 dB, DDA[12] is not able to find a feasible solution for any of the fading realization.
Thus, these constraints encode that any arborescence satisfying the sum condition is a feasible solution and vice versa.
Then, for any ε ∈ Ψ, the problem (P R ) must have a feasible solution.
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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