Sentence examples for imposed on the solution from inspiring English sources
No sign constraint is imposed on the solution, thus limiting free boundaries may have two-phases.
In this model, the boundary condition that the wave function vanishes at r = r c (where r c is the radius of impenetrable spherical box) is imposed on the solution of the Schrödinger equation.
The technique has many advantages because simplifies the overall data planning and analysis while maintaining a distribution-free character with no sparsity assumptions to be imposed on the solution for effect contrasting to be successful.
The modal amplitude equations also involve co-ordinates of unknown "lift-off points" determined as a part of the solution for structural response through the constraints imposed on the solution derived by the Galerkin method using linear modal bases.
It serves as a model for real-word inverse problems where constraints are imposed on the solution in the domain of a linear operator as well as in the operator's range.
While the restriction in Theorem 1.5 is the condition (1.17), no restrictions are imposed on the solutions themselves.
The proposed model also considers energetic boundary and interface conditions consistent with the boundary and interface conditions imposed on the solutions of the underlying wave system.
The SFP can be a model for many inverse problems where constraints are imposed on the solutions in the domain of a linear operator as well as in the operator's range.
One hypothesis for the improved topological accuracy of ASTRAL-2 compared to wQMC is that ASTRAL-2 finds better solutions to the MQSST optimization problem, and a competing hypothesis is that the higher topological accuracy achieved by ASTRAL-2 is due in part to the constraint it imposes on the solution space.
21 When ψ m =ψ h =1 is imposed on the private solution, it follows from (14) and (15) that tightness in the formal and the informal sector is equal and that search must be split equally between the formal and the informal sector, i.e. (sigma ^{I}=frac {1}{2}) from (11).
For example, the oscillation criteria of Došlý and Hilger [4] are unsatisfactory since additional assumptions have to be imposed on the unknown solutions.
