After selecting the roots of equation 2 or 10 from the appropriate Table, it is a simple matter to obtain the roots for the general cubic equation 1 from equation 4 or 12.

Given any cubic or quartic equation with real coefficients, it can be transformed by a change of variable into a standard form, and thus solved by means of a double-sided scale (Fig. 1) in the ...

A new, simple form of a cubic equation of state (EOS) has been developed in a recent study. A comparison to experimental data and other cubic equations of state show that the new EOS is more accurate.

Researchers can use a metric called the particle number concentration (PNC) to calculate the number of particles in a sample, ...

Governed by a highly symmetric cubic equation, the Clebsch was selected for a remarkable property: There are supposed to be exactly 27 straight lines that lie flush to its surface.

Abstract We consider the cubic nonlinear Schrödinger (NLS) equation set on a two-dimensional box of size L with periodic boundary conditions. By taking the large-box limit L → ∞ in the weakly ...

Tabular solution of the stress-cubic equation Edwin P. Russo, P.E. Professor Emeritus Duane J. Jardine Adjunct Professor Mechanical Engineering Dept. University of New Orleans New Orleans, La ...