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

An error estimate is given for the approximation of the interface.

An approximation is given for the case of simultaneous steady state diffusion and chemical reaction in a liquid liquid system under such conditions that diffusion and chemical reaction are of the same order of magnitude in the two phases.

In Section 3, under different norms, two sharp lower bounds of (D - A) are given for the low-rank approximation problem and some proofs of Theorem 3.5 are presented.

The moments of Y are given for the three possible forms of G. First approximations for the moments of (mathbf{M}_{n}) are obtained when these exist.

Iyengar proved a useful inequality which gives an upper bound for the approximation of the integral average by the mean of the values of mapping at end points of the interval that is given below (see [7] or [11, p.471]).

The above universal approximation theorem gives the theoretical justification for the approximation of an arbitrary continuous function by a two-layer (one hidden-layer) perceptron network.

At the end of this section, we shall try to give an error estimate for the approximation of (lambda_{n}) by (lambda_{n}^{(r)}) for each (ninLambda).

This inequality gives an upper bound for the approximation of the integral average 1 b − a ∫ a b f ( t ) d t by the value f at a point x ∈ ( a, b ).

We then give the hybrid dual RT0 scheme for the approximation of a nonlinear model for two-phase flow in porous media; its convergence is then known thanks to a recent proof of the convergence of gradient schemes for this problem.

Most numerical methods for the approximation of integrals and derivatives of a given function f(x) are based on interpolation.

However, they did not give any error estimate for the approximations of isolated eigenvalues.