Sentence examples for will be approximated by from inspiring English sources

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Notes: In the first catalog release, the rotated elliptical Gaussian parameterization of the deconvolved source extent will be approximated by a circularly symmetric Gaussian parameterization.

Note: In the first catalog release, the rotated elliptical Gaussian parameterization of the deconvolved source extent will be approximated by a circularly symmetric Gaussian parameterization.

Notes: The 95% confidence level error ellipse of the source position will be approximated by a 95% confidence level error circle in the first catalog release.

The resulting equations will be approximated by the symplecticity-preserving time-stepping scheme and the spatial discretization scheme that can optimize the numerical wavenumber for the first-order spatial derivative term.

In this paper, we propose some effective and accurate quadrature rules for computing these double integrals for one-dimensional nonlocal problems; in particular, for problems with highly singular kernels, the corresponding inner integrals can be first evaluated exactly in our method, and the outer one then will be approximated by some popular quadrature rules.

Any SNR value that falls within the range of will be approximated by the corresponding center value.

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These are hard to calculate analytically and will therefore be approximated by applying a Monte Carlo simulation approach.

Because marginal effects are a function of the value taken by other covariates, the difference in the predicted value of the dependent variable for changes across more than one attribute will only be approximated by an addition over individual marginal effects.

Because n t will be large, this can be approximated by a Gaussian distribution with mean n s and variance n s (1 – n s / n t ).

To obtain the moment of inertia for the wing, we will assume that the wing can be approximated by a thin rod pivoted at one end.

We have analyzed the statistical significance of this choice; given a sequence of length L that is randomly partitioned into n subsequences, the expected number of times that k subsequences will have the same length can be approximated by RE ~ (nk) · L-· k-1).

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