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We examine the Lagrangean relaxation (LR) of demand constraints in a strong reformulation of the problem.
Reformulation of the problem by combining the orbital elements and their velocities leads to an integral with a well-behaved kernel which is suitable for our purpose.
We give a powerful reformulation of the problem into one of minimizing "wastage" instead of maximizing the number of live cells.
Using a constrained La-grangian reformulation of the problem and the classical stability result of Lyapunov, we establish the asymptotic convergence of the primal-dual dynamics.
In case the risk-averse problem is convex, the conic quadratic reformulation of the problem is provided, which can be solved very efficiently.
We analyze the relaxation of a typical three-dimensional optimal design problem in conductivity, consisting of minimizing the square of the L2-norm of the underlying electric potential under a volume constraint, via a variational reformulation of the problem.
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Nagging exploits the speedup anomaly often observed when parallelizing problems by playing multiple reformulations of the problem or portions of the problem against each other.
And so it goes, for all the other reformulations of the problem.
And so on for all of the infinitely many equivalent reformulations of the problem (in terms of the fourth, fifth, … power of the length, and indeed in terms of every non-zero real-valued exponent of the length).
In this section, we study the necessary optimality conditions for the optimal value function reformulation (3.9) of the problem (3.4).
In this subsection, we shall establish the necessary optimality conditions for the optimal value reformulation (3.9) of the problem (3.4) using the above sensitivity analysis results.
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Justyna Jupowicz-Kozak
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