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What does nonlinear mean?

Looking for the meaning or definition of the word nonlinear? Here's what it means.

Adjective
  1. (of a set of points) Not lying on a straight line.
  2. (chemistry) Whose atoms do not lie in a straight line.
  3. (mathematics) Having a product of independent variables, or a variable with an exponent not equal to one.
  4. (of a system) Whose output is not directly proportional to its input.
  5. Erratic and unpredictable; tending to jump back and forth.
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Examples
Rate equations in a simplified form are given by JONG 2002, where R is a diagonal matrix and G is a vector of nonlinear functions.
Two-photon excitation is a nonlinear process in which a fluorophore absorbs two photons simultaneously.
Good agreement was obtained for all motions except roll motion, which usually showed strong nonlinear behaviour due to viscous damping.
He also continues to cut on film, a noticeable deviation from the industry standard of nonlinear digital editing.
In that the transition function is smooth and continuously differentiable, standard nonlinear estimation techniques are also applicable.
The logarithm is only one of many nonlinear but monotonic functions that can be applied to measurements prior to analysis.

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