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So at age 40, he opened a storefront office in a Long Island strip mall and set about proving that trading commodities, currencies, stocks and bonds could be nearly as predictable as calculus and partial differential equations.

For the proof-of-principle demonstration, the memristor solved static and time-evolving partial differential equations, Navier-Stokes equations, and magnetohydrodynamics problems.

By incorporating functional analysis and partial differential equation theory from mathematical analysis, this study extends previous investigations on two-dimensional fluid flows to encompass three-dimensional fluid dynamics with axial symmetry conditions.

The researchers, from the University of Cambridge and Cornell University, found that for partial differential equations -- a class of physics equations that describe how things in the natural world evolve in space and time -- machine learning models can produce reliable results even when they are provided with limited data.

“When I got my first text on partial differential equations, I learned what love is.”