The phrase "application of projection" is correct and usable in written English.
It can be used in contexts related to mathematics, data analysis, or any field where projection techniques are applied.
Example: "The application of projection in this study allows us to visualize complex data in a more understandable format."
Alternatives: "use of projection" or "implementation of projection".
We discuss the application of iterative projection method of Arnoldi and Jacobi Davidson type.
In 2001, Verma [2] introduced a new system of strongly monotonic variational inequalities and studied the approximation solvability of the system based on the application of a projection method.
Note that this method is the application of the projection method of Goldstein [35], Levitin and Polyak [36] to a suitable variational inequality problem, which is among the simplest numerical methods for solving variational inequality problems.
Let Ω 1,0 and Ω 1,1 be the mutually orthogonal subspaces generated by the application of two projection operators H and G respectively to the parent space Ω 0,0, i.e. Ω 0, 0 = Ω 1, 0 ⊕ Ω 1, 1.
The above method (5) has to be thought of as the application of the projection method of Goldstein [35], Levitin and Polyak [36] to the variational inequality problem (4), which is among the simplest numerical methods for solving variational inequality problems.
NPT is on the one hand a systematic application of the projection techniques to any many-body Hamiltonian, irrespective of the complexity of the original model, also in cases where the analytic approach would lead to unmanageable effective models.
The application of these projections in a fine-scale regional hydrologic model provides simulations of environmental conditions that occur at the hillslope scale that reflects energy-loading processes and changes in soil conditions that influence the presence and distribution of vegetation types.
One limitation to the applicability of this analysis is that DOF intercensal population projections are not used as widely as projections provided by the US census, as DOF projections are only available for counties in the state of California; however, problems similar to those noted in this analysis have been noted with the application of census projections [ 7].
These strict conditions rule out many applications of the projection type methods for the generalized system of nonconvex variational inequalities.
In present paper, we study applications of minimum projection uniformity criterion in aberration designs, orthogonal arrays and supersaturated designs.
