Sentence examples similar to explicit estimated from inspiring English sources

Our main emphasis is on the explicit estimates obtained.

Now we derive an explicit estimate (12) of the exponential type.

The following explicit estimates of Mittag-Leffler functions are useful in the sequel.

Theoretically, comparisons are made with several other recent works that gave wave number explicit estimates.

Along with explicit estimates we study the short-time asymptotics of the spectral gap.

Here, we derive spatially explicit estimates, and their uncertainty, of the distribution and stock of total P in Australian soil.

On the contrary, the book [3] which will be the basis for the metric case, also provides explicit estimates; these estimates are usually of order (tau ).

Both approaches provide spatially explicit estimates with wall to wall coverage, enabling the understanding of dynamics beyond point-based estimates [4, 19].

The definition is inspired by certain explicit estimates for B-splines given by Trebels and Steidl [26]; this point will be clear in Proposition 3.1.

However, compared with the Navier-Stokes equations, the additional difficulty here is that some more explicit estimates for nonlinear terms should be done.

(1.12 Our explicit estimate for the constant C ( q, d ) is non-sharp, moreover, it blows up as q → 2 d / ( d - 2 ) however, it is sharp in the limit q → ∞.