Sentence examples for numerical equations from inspiring English sources

Sturm's theorem first appeared in Mémoire sur la résolution des équations numériques (1829; "Treatise on Numerical Equations") and provided a complete solution to the problem one that had been wrestled with since the time of René Descartes of finding the number of roots (or solutions) of an algebraic equation within a given range of the variable.

Table 3 summarizes the numerical equations for best fit curves and R-squares.

Table 2 summarizes the numerical equations used for the best fit lines and R-squares.

In such a manner, the original infinite-dimensional problem is reduced to a system of n numerical equations.

The numerical equations are solved iteratively until convergence was attained which generally happened after three complete 24-h cycles.

Modeling of physical systems may be a challenging task when it requires solving large sets of numerical equations.

Dancers move through space in a way that echoes the expression of a numerical equation.

Supporters, however, say judges would never focus exclusively on the cost of a sentence or turn their responsibilities of judgment into a numerical equation.

Two approaches are considered, one which is based on the use of a dynamic numerical equation solver, and another which uses a static numerical equation solver.

A numerical equation rooting approach is developed to solve the dynamical properties of the proposed equation.

The integrated variational formulation is given, based on which the numerical equation is derived by using the mode summation approach.