Sentence examples for especially when approximating the from inspiring English sources

From this we get both the a priori estimate d ( T x n, z ) ≤ h n 1 − h d ( T x 0, T x 1 ), n = 1, 2, …. and the a posteriori estimate d ( T x n, z ) ≤ h 1 − h d ( T x n − 1, T x n ), n = 1, 2, …. which are extremely important in applications, especially when approximating the solutions of nonlinear equations.

The derived analytical formulae can be used either during preliminary design or for other special purposes, especially when approximated results are acceptable.

When approximating a problem, it is prudent to understand the nature of the error in the computed solution.

The result is used to determine error bounds when approximating transcendental functions by truncated power series.

Metaheuristics are emphasized because they are especially suitable when approximate solutions are good enough in the case that the global optimum is either unknown or computationally too expensive to obtain it; both are characteristics of a typical large scale project.

At issue here to some extent is the reliability of RDCs for dynamics, and there has been much debate in the literature about this (especially when one considers the fact that methods for estimating RDCs from structure are only approximate, especially for electrostatic alignment, or methods for dealing with the effects of averaging between multi-states again can be complex).

Mr. Landers's new optical stew better approximates the conflicting voices that nag the mind, and is more fun to look at, especially when the paintings' backgrounds are dark.

Although the approximate solution using the proposed method has a smooth behavior, it can not respond appropriately to match the exact solution, especially when the r-cuts tend to 1.

However, the material parameters remain approximate and impossible to define accurately for each building, especially when the building materials are a heterogeneous mixture of unknown components, for which no electromagnetic measurement values are available.

Especially when the press started.

Especially when the going gets tough.