The mathematical symmetries of the resulting equations predict three families of particles, as described by the standard model of physics, though the third family would behave a bit differently. (newscientist.com)
Solving the resulting equations tells us how planets orbit the sun or how to plot a trajectory for a space probe. (newscientist.com)
When Kaplan solved the resulting equations as a function of pH, with a mathematical parameter standing in for the chemical change, he found that he could recreate all the shapes developed by Noorduin and Aizenberg — and come up with new ones. (seas.harvard.edu)