Sentence examples for a recurrent relation from inspiring English sources

A recurrent relation connecting this type of sums is given in [18].

end{aligned} (9) This means that the Stirling numbers are a solution to a two-dimensional recurrent relation with given boundary conditions (s^{n}_{n}) and (s^{n}_{0}), (nin mathbb{N}_{0}).

We construct a new efficient recurrent relation to solve nonlinear Burgers' and Brusselator systems of equations.

If the increment is an integer and, the recurrent relation for any element of the n th column is defined as (4.3).

It generates the connected permutations using the following recurrent relation: Let 𝜖 be a set of edges.

108 and 109, is based on the fact that the recurrent relation which provides the value of (s_{t+1}) as a function of (s_t) is no longer required, since (u_t + v_t = s_t,~forall t in mathbb {N}^).

The recurrent relation of spherical harmonics is independent of far-field and near-field mode strengths.

Construct the recurrent relation of these sub-matrices in (33) and estimate DOA information for all sources in (36).

Based on the recurrent relation of the spherical harmonics, only DOAs were estimated for mixed field sources simultaneously [37].

Exploiting the recurrent relation between spherical harmonics, we extend the spherical ESPRIT method to simultaneously discriminate directions of multiple far-field and near-field sources.

For degrees of freedom higher than n = 3, series are found by inverse operations, i.e., by recurrent relation in view of integrating along radius r.