A transformation that reduces coefficient count to one greatly simplifies the task of finding roots. has roots that are solvable by classical techniques involving the computation of inverse cosines, ...

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 case of ...

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.

History is full of backstabbing rivalries: Edison and Tesla, Harding and Kerrigan, Tupac and Biggie. No less dramatic was a 16th-century conflict between Italian mathematicians Gerolamo Cardano, a ...

Ready to unlock your full math potential? 🎓Follow for clear, fun, and easy-to-follow lessons that will boost your skills, build your confidence, and help you master math like a genius—one step at a ...

Principal stresses are defined as the maximum and minimum normal stresses in a plane. Principal stresses are perpendicular to each other and oriented such that shear stresses are zero. For 3D stress ...