Employing such parameterizations is complicated, however, since the numerical tools such as optimization and PCA assume Euclidean parameterizations; therefore we must either develop new tools whose domains are non-Euclidean, or complicate our systems by imposing explicit constraints, for example, to assure that the quaternions stay on the unit sphere (Grassia, 1998).
While there are no other explicit constraints for the two plans relative to one-another, in the best clinical judgment of the treating physician, neither plan should be clearly superior in terms of either target coverage or organ-at-risk (OAR) doses (excluding the anatomically-defined lungs).
Environmentalists will also be worried that the Bill does not put an explicit constraint on any dash for gas.
The most common techniques are based on finding the optimal value of the Lagrange multiplier for the explicit constraint, most often through the use of a type of line search procedure.
Another example of an explicit constraint is obtained when we set (psi ^{0,b}_{u} =0) for all u∈[t,T], meaning that an outright borrowing of cash from the account B0,b is prohibited.
A novel algorithm for the solution of the inverse dynamics problem is presented and augmented to the solution of the equations of motion (EOM) for rigid multibody chains using explicit constraint components of force.
An explicit constraint representing a standard whiteness test is added to the framework of least-squares ARX identification in order to provide a means for model order selection without relying on a second data set.
However, no explicit constraint functions were used to maintain the initial docking contacts during the simulation.
However, this scheduler is only effective for traffic types without explicit constraints on the minimum achievable average data rate and/or the maximum allowable absolute delay.
At the same time explicit constraints are introduced that maintain the binding energy for all decoy ligands above a threshold necessary for successful binding.
