Sentence examples for the form of the approximation from inspiring English sources

This generating function and its expansion determine both the form of the approximation and the coefficients [9].

The form of the approximation is lim n → ∞ P X n − n / μ W n σ W 2 μ W − 3 ≤ u = Φ ( u ), (6).

The form of the aggregate VMT and carbon emissions approximations lends itself to the development of heuristics to compare the sensitivity of total VMT and total carbon emissions to important factors that differentiate scenarios.

These approximations have the form of the system of iterative parabolic equations, where the solution of the n-th equation is used as an input term for the (n+1 -th equation+1 -th

By use of  (1.4), the approximability ‖ ⋅ ‖ B s can equivalently be formulated in the form of nonlinear approximation classes found e.g. in  [15 17].

Estimates are robust to the exact form of the approximation.

This is because the concrete form of the approximation used for a given particle depends on its position (which determines how FMM approximates each pair-wise force).

The general form of the approximation is designed to exploit the Laplace approximations to hypergeometric functions of a single matrix argument presented in Butler and Wood (Ann. Statist. 30 (2002 11555, Laplace approximations to Bessel functions of matrix argument, J. Comput.

The generalized form of the approximation models developed to evaluate total VMT and carbon emissions for the three delivery scenarios indicates that a simplified comparison of VMT and emissions between different goods delivery scenarios is feasible and provides conclusive insights.

However with theory of dimensional analysis, it was proved that there should be a general form of the approximation formulas of the critical axial force, although the coefficients in the formulas are different for different imperfection shapes.

An intuitive, ad hoc way of dealing with an unbounded random variable is to approximate it by a sequence of bounded ones, and to use limit arguments in order to extend notions defined in the context of the bounded random variables to their unbounded counterparts, in the hope that the eventual result will not depend on the exact form of the approximation.