Mathematics. the quality of a function that expresses a relationship that is not one of direct proportion.
Electricity. deviation of an input-output relationship from one of direct proportionality.
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Significantly, the nonlinearity of the equation led to a fascinating new web of mathematics in which algebraic geometry, topology, differential geometry and analysis are beautifully entwined, now with physics in the mix as well.
The team proved that for a particular range of nonlinearity, their method could truncate that infinite list and solve the equations.
Since the particles are all interconnected, each particle’s behavior influences the rest, feeding back to that particle in a loop characteristic of nonlinearity.
Fredrickson then suggests that this counts as general evidence of nonlinearity in the effects of positivity.