Sentence examples for derive formulas for from inspiring English sources

We derive formulas for higher order derivatives of the function s→φ eisAU0) for sufficiently smooth functions φ.

Below, we derive formulas for the spatially dispersive dielectric functions.

We derive formulas for counting certain classes of vacua in the string/M theory landscape.

Seven statistical models were fitted to the data to derive formulas for estimating daily yields from morning or evening yields.

We explain their historical backgrounds and relationships with their three-dimensional parent surfaces and derive formulas for conversion from moment tensor representation.

We establish the existence of Lyapunov exponents, derive formulas for their calculation, and show that Lyapunov exponents of free variables are additive with respect to operator product.

Based on these assumptions, we can derive formulae for the leading-order auxin concentration in each compartment (see the "Derivation of Asymptotic Solution" section of Additional file 1 for details).

We derive formulae for the AOQ and AFI, and consider how best to choose the sampling plan parameters in the presence of nonzero correlation.

We derive formulae for the sums of products of the -Euler polynomials and numbers using the multivariate fermionic -adic -Volkenborn integral on.

In this study, scaling arguments and data mining approaches were used to derive formulae for the prediction of wave overtopping rate at fully vertical and nearly vertical impermeable solid smooth structures.

The purpose of this paper is to derive formulae for the sums of products of the -Euler polynomials and numbers, since many identities can be obtained from our sums of products of the -Euler polynomials and numbers.