Sentence examples for recursion relations from inspiring English sources

The construction of the sets of plate equations is systematized by the introduction of recursion relations which relates higher order powers of displacement and micro-rotation terms with the lower order terms.

The main advantage of this approach is directly calculating these coefficients, instead of using recursion relations.

The banded matrices yield recursion relations for solving systems of linear equations.

Using power series expansions in the thickness coordinate for the displacement components, recursion relations are obtained among the expansion functions.

The efficiency of this code derives from the use of vector coherent state theory to evaluate the required coefficients directly without recursion relations.

The key in developing this consistent theory lies in deriving exact recursion relations for the high-order expansion coefficients from the 3-D system.

The expanded stability is usually obtained by mapping the short recursion relation of the explicit Runge Kutta scheme to the recursion relation of some well-known, stable polynomial.

The Smith-Ewart recursion relation is incorporated directly as the "rate of formation" relation for polymer, particles.

Practical implementation requires the truncation of the exact boundary condition by approximating an infinite sum with a finite sum, and by terminating an infinite recursion relation.

The deficiency was due to the loss of numerical precision arising from the upward recursion relation used for generating the functions from the values at n = 0 from the complete elliptic integrals of the first and second kinds.

In this paper the second-order unstable Fibonacci system is defined by adding a control input to the recursion relation that generates the Fibonacci numbers, and the characteristics of its Kalman state estimator and its control using both the LQR and deadbeat control approaches are investigated.