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No one expects the problem to yield to a quick settlement.
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Our new matrix-vector multiplication algorithm can be integrated into an algorithm for the latter problem to yield an O n 3 log 2 n time algorithm, improving the best previously known asymptotic time bound for the problem (see Section "Online VMT algorithms").
The models are then formulated as non-linear programming problems to yield optimal operating schedules and conditions.
Indeed, though there may not be local minima for the cost function, the ill-posedness of the problem appears to yield an objective function that is rather flat in places thereby impeding rapid convergence of the iterates.
Exploiting the structure of the problem enables us to yield a quadratic time using a linear memory space.
The optimization problem is solved to yield the optimal threshold (h^), which results in the optimal replenishment rate of prey fish (tau^=p_{h^), the optimal harvesting rate of predator fish (q^=q_{h^), and the optimal impulse period (T^=T tau^, q^)).
The ℓ2-ℓ0 problem is known to yield an NP complete combinatorial problem which is usually handled by using suboptimal search algorithm.
Application of rectangular-celled CA to the seismic problem is shown to yield discrete equations equivalent to the centered-difference finite difference (FD) approach.
All our lives, we've made things work, we've made things bend to our will, and if they didn't bend we tried harder, pushed longer, and lost sleep until the problem yielded to our indomitable intellect.
The inverse problem is decomposed to yield up to four solutions.
Robust formulations of the optimization problem were shown to yield optimized designs that are tolerant with respect to such manufacturing uncertainties.
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