Sentence examples for better approximation for the from inspiring English sources
He also concluded that the replacement of sea water by a vacuum provides a better approximation for the sea layer than does the substitution of a solid medium for sea water.
Using cubic boundary elements to solve this singular boundary integral equation, we obtain a better approximation for the solution, because cubic boundary elements offer a better approximation not only for the unknown of the problem, but also for the geometry of the boundary involved.
Then, we compare the calculated values of F′ and θ at η ∞ with the given boundary conditions F′ = 0 and ( theta left({eta}_{infty}right)=mathsf{0} ) and adjust the values of F ′ ′(0) and θ′(0) using the shooting technique to give better approximation for the solution.
Then, we compare the calculated values for f ′ and θ at η ∞ with the given boundary conditions f ′ = 1 and θ = 0 respectively and adjust the estimated values of f ″ ( 0 ), θ ( 0 ) and η ∞ to give a better approximation for the solution.
On the other hand, as shown by the dashed green and solid black lines in Fig. 3 for high-frequency equatorial waves (with ω>1— see Fig. 1—, i.e., all equatorial IGWs and eastward propagating RGWs), the meridional profile of (overline {up}) provides a much better approximation for the group velocity times wave energy.
However, for smaller P-values, the estimate is way off and bounded by 1/ N. The GPD approximation provides a better approximation for the small P-values.
Moreover, using these better approximations of the eigenvalues, one can also determine the better approximations for the eigenfunctions of the operator T 1. Similar results can be obtained for the operators T 2, T 3, and T 4.
Many authors pay attention to find various better approximations for the gamma function, for instance, Ramanujan [11, P. 339], Smith [12, Eq. (42)], [13], Mortici [14], Nemes [15, Corollary 4.1], Yang and Chu [16, Propositions 4 and 5], Chen [17].
This inspired some authors to also pay attention to find various better approximations for the gamma function; see, for instance, Ramanujan [5, p. 339], Windschitl (see Nemes [6, Corollary 4.1]), Yang and Chu [7], Chen [8].
