Sentence examples for equation within 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.

The analysis has been based on the Boltzmann transport equation, within the relaxation time approximation.

Thus, the equation within the parenthesis is obtained from the optimality of Model (3).

This paper presents a fast and robust method for computing the simple root of a nonlinear equation within an interval.

The discrete diffusion equation within discrete Riesz derivative is one of the new results reported very recently [19, 20].

In this paper, we considered the density-dependent diffusion Nagumo equation within a new geometric method, LSGPS.

But Ms. Emond keeps subtly changing the temperature of Inez's character in ways that do indeed suggest the imponderable equations within one personality.

A similar approach enables to solve the 2D balance equations within the liquid and the vapor.

Results demonstrate that current FPGAs can solve linear systems larger than hundred equations within ten microseconds.

The displacement equilibrium equations within the kth ply are achieved by substituting Eqs.

By utilizing the principle of minimum total potential energy, the equilibrium equations within LWT are found.