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  2. Nonlinear system - Wikipedia

    en.wikipedia.org/wiki/Nonlinear_system

    In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. [1] [2] Nonlinear problems are of interest to engineers, biologists, [3] [4] [5] physicists, [6] [7] mathematicians, and many other scientists since most systems are inherently nonlinear in nature. [8]

  3. Nonlinear algebra - Wikipedia

    en.wikipedia.org/wiki/Nonlinear_algebra

    Nonlinear algebra is the nonlinear analogue to linear algebra, generalizing notions of spaces and transformations coming from the linear setting. [1] Algebraic geometry is one of the main areas of mathematical research supporting nonlinear algebra, while major components coming from computational mathematics support the development of the area into maturity.

  4. Consistent and inconsistent equations - Wikipedia

    en.wikipedia.org/wiki/Consistent_and...

    The system + =, + = has exactly one solution: x = 1, y = 2 The nonlinear system + =, + = has the two solutions (x, y) = (1, 0) and (x, y) = (0, 1), while + + =, + + =, + + = has an infinite number of solutions because the third equation is the first equation plus twice the second one and hence contains no independent information; thus any value of z can be chosen and values of x and y can be ...

  5. Nonlinearity (disambiguation) - Wikipedia

    en.wikipedia.org/wiki/Nonlinearity_(disambiguation)

    Non-linear sigma model is found in quantum field theory. Nonlinear system, in mathematics, represents a system whose behavior is not expressible as a linear function of its descriptors. A nonlinear X-wave (NLX) is a multi-dimensional wave that can travel without distortion.

  6. Nonlinear programming - Wikipedia

    en.wikipedia.org/wiki/Nonlinear_programming

    In mathematics, nonlinear programming (NLP) is the process of solving an optimization problem where some of the constraints are not linear equalities or the objective function is not a linear function.

  7. Linearity - Wikipedia

    en.wikipedia.org/wiki/Linearity

    In mathematics, the term linear is used in two distinct senses for two different properties: . linearity of a function (or mapping);; linearity of a polynomial.; An example of a linear function is the function defined by () = (,) that maps the real line to a line in the Euclidean plane R 2 that passes through the origin.

  8. Nonlinear modelling - Wikipedia

    en.wikipedia.org/wiki/Nonlinear_modelling

    In mathematics, nonlinear modelling is empirical or semi-empirical modelling which takes at least some nonlinearities into account. Nonlinear modelling in practice therefore means modelling of phenomena in which independent variables affecting the system can show complex and synergetic nonlinear effects.

  9. Nonlinear regression - Wikipedia

    en.wikipedia.org/wiki/Nonlinear_regression

    See Michaelis–Menten kinetics for details . In statistics, nonlinear regression is a form of regression analysis in which observational data are modeled by a function which is a nonlinear combination of the model parameters and depends on one or more independent variables.