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We rewrote the formulated game as a variational inequality problem to analyze the NE of the game.
We set up an optimization problem to analyze and characterize the optimal setpoints for the workload distribution and the supply temperature of the cooling equipment.
At first, the problem is modeled as a mixed integer non-linear programming problem to analyze the impact of water replenishment on PVT system sizing.
It is a very difficult problem to analyze existing texture in the real world mainly because of some uncertain factors such as inhomogeneity, illumination changes, and variability of texture appearance, etc.
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end{cases} In this paper we use focal problems to analyze the sign constancy of Green's functions.
In Section 4, we evaluate our work, choosing sample problems to analyze the effect of various constraints on the deployment solution quality, problem complexity, and feasibility.
We establish the equivalence between the new system of general nonconvex variational inequalities and the fixed point problems to analyze an explicit projection method for solving this system.
We exploit asymptotic structure in a set of well established pattern formation problems to analyze a singular limit model that avoids time and space adaptation typically associated to full numerical simulations of the same problems.
The diffusivity equation in the model is solved by source functions, which has been widely practiced in solving the unsteady reservoir flow problems to analyze transient pressure behaviors of horizontal and multilateral wells.
By the early fifties, he had assimilated his influences (Cocteau, Anouilh, Hitchcock, classical theatre), and his films took an introspective turn: they moved from posing social problems to analyzing personal ones.
For researchers the information deluge leads to a different problem: how to analyze the data.
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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