Sentence examples for the leading terms from inspiring English sources

The leading terms on the interaction force, consisting of an anisotropic and an isotropic term, are successfully identified in the third-order macroscopic equation recovered by the lattice Boltzmann equation (LBE), and then new mathematical insights into the pseudopotential LB model are provided.

Therefore the leading terms of truncation error can be eliminated, we can get the following theorem.

By now substituting the μ k expansion (40) and retaining the leading terms, we obtain Eq. (41).

By Theorem 1, we may assume that the leading terms of the elements of S are distinct.

Since such deviations do not affect the leading terms of the linear stability analysis (as it can be verified a posteriori) they will be simply neglected.

(2.2) To be precise, note that the first equation in (2.2) comes from the homogeneity of the leading terms in (2.1).

From the mathematical point of view, one would expect the integral term in the equation above is dominated by the leading term − λ ∇ u.

The last term in the denominator is much smaller than the two leading terms, since ρ 2m  < < ρ 2m − 2 as ρ → 0.

Our Nyström method has made use of the cancellation of leading terms in the series expansion of integral kernels to handle hyper singularities in near terms.

Compared with the truncation error (T_{5}) of scheme (5) and the truncation error (T_{8}) of scheme (8), the signs of leading terms of (T_{5}) and (T_{8}) are opposite.

For the first two leading terms it was proved by Bismut Vasserot.