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, ...

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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 ...

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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 ...

A beautiful theorem of Thomas Price links the Fibonacci numbers and the Lucas polynomials to the plane geometry of an ellipse, generalizing a classic problem about circles. We give a brief history 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.

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 ...