Sentence examples for formula plays an from inspiring English sources

The following integral formula plays an important role.

The Taylor formula plays a very significant role in numerical analysis.

The validity of Green's formula plays a central role in the theory.

The Kuznecov transform and Kuznecov inversion formula play a central role in the proof of this Whittaker Plancherel inversion formula.

Usually, in highly nonlinear systems as the one considered here, the spatial discretization level as well as the order of the finite difference formula play a central role in the computation of an accurate numerical solution.

Thus in the theory of hypergeometric and generalized hypergeometric series, summation formulas and transformation formulas play an important role.

Monotonicity formulae play a crucial role for many geometric PDEs, especially for their regularity theories.

Horn formulae play a prominent role in artificial intelligence and logic programming.

The Coulson integral formula [24] plays an important role in the study of the graph energy.

By combining this information, we derive in the class an expression that highlights in the contribution to the variance in the estimate of fecundity originating from each of the three measurements: This formula now plays an essential role in settling on a data collecting protocol.

Let (varphi _0) be the ground state of h, i.e. begin{aligned} hvarphi _0 = - varphi _0 end{aligned} (11.9 Kato notes the explicit formula, (varphi _0 varvec{x}) = pi ^{-1/2}e^{-|x|}) but other than that it is spherically symmetric, the exact formula plays no role.