nonlinear
adj.
not linear
Nonlinear system
This article describes the use of the term nonlinearity in mathematics. For other meanings, see
nonlinearity (disambiguation). In
mathematics, a nonlinear system is a system which is not
linear i.e. a system which does not satisfy the
superposition principle. Less technically, a nonlinear system is any problem where the variable(s) to be solved for cannot be written as a linear sum of independent components. A
nonhomogenous system, which is linear apart from the presence of a function of the
independent variables, is nonlinear according to a strict definition, but such systems are usually studied alongside linear systems, because they can be transformed to a linear system as long as a particular solution is known.
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nonlinear
Adjective
1. designating or involving an equation whose terms are not of the first degree
(antonym) linear, additive
(classification) mathematics, math, maths
nonlinear
(Scientific computation) A property of a system whose output is not proportional to its input. For example, a
transistor has a region of input voltages for which its output voltage is found by multiplying the input voltage by the gain of the transistor. Outside this region though, the transistor behaves non-linearly, meaning that it does not obey this simple equation. The behaviour of a system containing non-linear components is thus harder to model and to predict.
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Jargon File]
(c) Copyright 1993 by Denis Howe
nonlinear