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There are two different approaches to the Dirichlet minimization problem for variational integrals with linear growth.
We investigate the general optimal power minimization problem for HetNet that requires relatively high computational complexity.
We first formulate a cost minimization problem for near-field tsunami detection.
This study proposes a linked simulation optimization model to solve the groundwater pumping cost minimization problem for existing and new wells to satisfy any given water demand.
However, there are no previous studies on the performance of both these strategies to solve the Gibbs free energy minimization problem for systems subject to chemical equilibrium.
The second is the prevention of convergence to trivial solutions in both the Gibbs free energy minimization problem for two-phase mixtures and the associated phase stability test for single-phase mixtures.
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We show that the optimal security can be expressed as a convex combination of securities solving minimization problems for which the solutions share many debt-like features but exhibit endogenous tranching.
Hence, our approach to solve problem (1.3) is to analyze the structure of M λ , and then to deal with the minimization problems for J λ on M λ + and M λ − applying the direct variational method.
Our results were confirmed through a numerical analysis of the phase transition of the ℓ1-minimization problem for different pairs of sensing and sparsity bases.
In Section 3, these theoretical results are confirmed numerically through an analysis of the empirical phase transition of the ℓ1-minimization problem for different pairs of sensing and sparsity bases.
We propose a classifier based on the solution of an ℓ1-minimization problem for classification.
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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