Sentence examples for approximation is defined as from inspiring English sources

Then an approximate dynamic programming (ADP) approach is developed, in which an affine value function approximation is defined as the estimation of crane's traveling time for handling each coil, and updated via iterations by collecting information from the solutions of separate subproblems.

However, while the lower approximation is defined as crisp, the boundary area is fuzzy.

Similarly, the whole feasible set for the sample average approximation is defined as X γ ̂ = ⋂ i = 1 N X γ i ̂.

The time T of validity of such pseudo-lineary approximation is defined as a period during which the relative change of C S 1 t does not exceed some ε, i.e. k ∫ 0 T C S 2 t dt < ε.

There is a version of multiplicative ART in which the initial approximation is defined as R k =0 = ρ i, j = 1, and As in additive ART, one can start with a blank (zero) reconstruction, or with R k =0 = 1 if the multiplicative correction approach is used.

Calculation of cluster centres m j remains as given in Equation 9, while lower and upper approximations are defined as detailed in Section 2.2.3 for rough c-means.

The extrapolated Crank-Nicolson discontinuous Galerkin approximation is defined by.

For, the Yosida approximation is defined by for all.

A rank- k approximation of P is then defined as (11) It can be shown that P k ) is the optimal rank- k approximation (Stewart, 1993), i.e. if the approximation error is defined as the Frobenius norm of P− P k ) such that (12) Then, ε k ) is the minimum of all the rank- k approximations.

Similarly, the approximation coefficient is defined as begin{aligned} W_f^varepsilon (0,t)=langle f,phi _1rangle =int f tau )overline{phi _1 tau -t }dtau end{aligned} (5) begin{aligned} W_f^varepsilon (0,t)=langle f,phi _1rangle,=left( widehat{f} omega )overline{phi _1 omega )}right) ^vee end{aligned}.

Moreover, in each of the finite neighborhoods of the singular corners ('singular' parts), the approximate solution is defined as a quadrature approximation of the integral representation of the harmonic function, and the errors of any order derivatives are estimated.