Sentence examples for approximations used from inspiring English sources

Numerical inaccuracy due to a limited precision or approximations used for the computing the Hamiltonian (e.g. approximate two-electron integrals) might lead to a small split of the degenerate levels, but iterative procedures used in the majority of quantum chemical methods can increase this small difference to a physically wrong description of the system.

The KL divergence approximations used here were all symmetric.

An error analysis of the approximations used is included.

Based on the approximations used by current scoring functions, strategies for improvement can be defined.

The approximations used in the equations represent the estimation of f p and f e.

Thus, this study eliminates the approximations used in point dipole methods for calculating dielectrophoretic force.

Within the framework of the approximations used, numerical simulations are in agreement with our theory.

The different approximations used in the hybrid approach are justified theoretically and through numerical examples.

Perhaps the fractal character of strange attractors is an artifact introduced through the various idealizations and approximations used to derive such chaotic models.

Note that the distributions found are approximations used to provide a generalized prediction of the propensity of distinctiveness.

Below are the subsequent approximations using various numbers of singular values.