Sentence examples similar to careful approximation from inspiring English sources

At best they're careful approximations.

Clairaut showed that the approximations made by Newton and those who followed had been too rash and that with more-careful approximations, the advance of perigee came out just right.

These results show that a more careful model accuracy approximation is required for some proteins.

Design of distributed algorithms must therefore be careful that these approximations do not lead to instability due to competing controls between neighbouring regions, and must take into consideration communication delays between sensors and local controllers [38], and inaccuracies in local estimates of state information [39].

It is also shown with numerical examples that a careful selection of the approximation space to fit individual PDE and initial and boundary conditions often provides more accurate results than the DG methods based on the polynomial approximation spaces of the same order of accuracy.

Using an exact and an asymptotic solution describing the nontrivial three-dimensional fluid flow generated by a slender precessing spheroid, we present a careful analysis of the approximation of the flow using the method of regularized Stokeslets, where the regularized Stokeslets are placed along the centerline of the spheroid.

One must be very careful with this crude approximation; it weakly holds for near neutral systems (ΣZA - N = 0 or ±1) because, e.g., for one-electron atoms - Eelectr,0 = T = ZA2/2 is far from 1 x.

We do not yet take into account phase changes whose approximation requires a careful thermodynamic consistent procedure.

For tight binding Hamiltonians of Si, we show how to achieve high precision and rapid convergence of the cohesive energy and vacancy formation energy by careful attention to the order of approximation.

However, one should be careful when using Dc″ as an approximation of Dc.

Because brokers are generally careful to list square footage as an "estimate" or "approximation," there is often little recourse for buyers.