Sentence examples for limits of approximation from inspiring English sources

The viability of CR or MR as he deemed has been well established by a concerned scientific community within well-defined scopes and limits of approximation and precision, and the two dimensions complement one another in specific respects.

This is the class of SOLA (Solutions Obtained by Limits of Approximations), which is introduced in the.

The results obtained from the application of Equation (72) fit extremely well the approximation used by the THW method via Equation (5) within the validity limits of the approximation (5).

The paper also presents a parametric study investigating the influence of the geometry on the non-linear behavior and we identify the limits of linear approximation of the structural response of corrugated laminates.

In particular, if the coupling constants of the nonlinear term of the coupled KPZ equation satisfy the so-called "trilinear" condition, the renormalization factors can be taken the same in two approximations and the difference of the limits of two approximations are explicitly computed.

Further, by using a construction by Hällnas and Lindström of non-well-founded sets as limits of finite approximations (Lindström 1989), one can see that in constructive contexts the antifoundation axiom comes as proof-theoretically "inexpensive" if compared with set induction (Rathjen 2003).

They introduced an approximation curve for the SFP (1.1) and obtained the minimum-norm solution of the SFP as the strong limit of the approximation curve.

The limit of viscous approximations, a one-sided super bound estimate and a space-time higher-norm estimate for the equation are established to prove the existence of the global weak solution.

The construction of (f_{varepsilon _k}(cdot )) (as limit of Euler approximations) and Proposition 27 (7)., (8).

Also, the limit of viscous approximations for the equation is used to establish the existence of the global weak solution.

The limit of viscous approximations for the equation is applied to establish the existence of the global weak solution.