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We show that these variational inequalities can be solved exactly in a cascading manner.
This leads to two simplified link transmission models that can be solved exactly in continuous time under the assumption of piecewise stationary travel demand.
We study the question of whether optimization problems can be solved exactly in the presence of economic constraints, such as truthfulness of selfish agents.
where σ ( x ) = 1 2 B ( x ) B ( x ) T. Unfortunately, Equation 7 can only be solved exactly in the case of trivial dynamical systems.
When these factors are removed, the LCP problem is as hard as that of minimizing the RMSD MADD problem), and can be solved exactly in polynomial time.
However, if not, the problem can be solved exactly in the d-th Krylov subspace, where d is the degree of qmin.
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This leads to a system of P equations in K unknowns, which can be solved exactly if no noise is present.
The Von-Karman's compatibility equation is solved exactly in the post-buckling phase with the assumption that the deflected form immediately after buckling is the same as that obtained for buckling.
Soot rate equations, represented as functions of mixture fraction, soot mass concentration, and number density, are solved exactly in terms of the scalar values of each individual stochastic particle and the associated gas-phase properties derived from laminar flamelet-state relationships.
If the system is non-linear the resulting FPK equation can be solved exactly only in a few special cases.
They can thus be solved exactly as in the purely temporal case, with the only modification being that the total amount of X at any location (which is constant) is determined from a global condition: (A29) Here 2π is the length of the domain.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com