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Partial order constraints placed on the variables may sometimes be theoretically justified.
It encompasses systems subjected to any equality first order constraints and in this regard it unifies modeling for control applications.
For orthonormal uniform filterbanks and biorthogonal filterbanks without order constraints, the design problems have been solved on the whole.
Numerical experiments show that the second option is more efficient on average, because LocalSolver performs worse when using a model with order constraints.
Thiskitty entered the house/*The kitty entered on topaperthe table.
For the cuprates, maximum Tc=167 K is extrapolated from the charge order constraints but higher values should be obtainable in B and C containing systems, based on similar considerations.
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However, the order constraint is relatively weak compared to the overlap constraint.
For this reason, a quadratic nonlinear minimization problem is set up to minimize the decomposition error for a given finite order constraint.
We derive a tip angle dependent higher order constraint on the solution at the tip and show this to be a very useful validation criterion.
This will provide first-order constraints on the planetary Fe/Si ratio.
Consideration of crystallographic constraints at various length scales reveals that higher-order constraints play a role in boundary connectivity and network structure.
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