Sentence examples for approximation under from inspiring English sources

Simulation study provides favorable evidence for the accuracy of the asymptotic approximation under the null hypothesis.

This approach performs function approximation under conditions and it was tested on textile mill control.

The spectral time-splitting approximation under study will be proved to be unconditionally stable, time reversible, and gauge invariant.

The study of heat transfer through the target was conducted by adopting a one-dimensional approximation, under consideration of the three transfer modes convection, conduction, and radiation.

Sparsity-based regularization methods for image restoration assume that the underlying image has a good sparse approximation under a certain system.

Subsequently the RMSC in undamaged state is estimated by the RMSC in damaged state and polynomial approximation under the assumption that RMSC in undamaged state has smooth surface.

We provide asymptotic approximations under a drifting parameter DGP for distributions of classical tests and of those designed for the case of complete nonidentification.

This work is devoted to designing a unified alternating update method for solving a class of structured low rank approximations under the convex and unitarily invariant norm.

The test relies on a new characterization of equality between two k dimensional positive-definite matrices A and B: the traces of AB 1 and BA 1 are equal to k if and only if A = B. Using this criterion, we introduce a class of omnibus test statistics for equality of covariance matrices and examine their null, local, and global approximations under some mild regularity conditions.

The use of polynomial approximations under similar circumstances was considered, in particular, in [7].

For the local existence and uniqueness, we use the method of successive approximations under the Lipschitz condition, and for global existence and uniqueness, we use the contraction principle under suitable conditions.