nonlinear variation - ορισμός. Τι είναι το nonlinear variation
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Τι (ποιος) είναι nonlinear variation - ορισμός

SYSTEM IN WHICH THE CHANGE OF THE OUTPUT IS NOT PROPORTIONAL TO THE CHANGE OF THE INPUT
Non-linear; Nonlinear; Nonlinear dynamics; Nonlinear systems; Non-linearity; Non-linear system; Nonlinear Dynamics; Non-linear equation; Nonlinear equation; Nonlinearly; Nonlinearity; Nonlinear differential equation; Non-linear differential equation; Nonlinear function; Nonlinear simultaneous equations; Nonlinear system of equations; Nonlinear science; Non-linear function; Systems of nonlinear differential equations; Systems of nonlinear equations; Nonlinear systems of equations; System of nonlinear equations; Nonlinear Systems; Nonlinear recurrence relations; System of nonlinear differential equations; Non-linear differential equations; Simultaneous nonlinear equations
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variation         
WIKIMEDIA DISAMBIGUATION PAGE
Variations; Varied; Varying; Variation (disambiguation); Viccitude; Variations (album); Variation (combinatorics); Variations (Combinatorics); Variation (Combinatorics)
¦ noun
1. a change or slight difference in condition, amount, or level.
(also magnetic variation) the angular difference between true north and magnetic north at a particular place.
2. a different or distinct form or version.
Music a new but still recognizable version of a theme.
Ballet a solo dance as part of a performance.
Derivatives
variational adjective
varied         
WIKIMEDIA DISAMBIGUATION PAGE
Variations; Varied; Varying; Variation (disambiguation); Viccitude; Variations (album); Variation (combinatorics); Variations (Combinatorics); Variation (Combinatorics)
¦ adjective incorporating a number of different types or elements; showing variation or variety.
Derivatives
variedly adverb
variation         
WIKIMEDIA DISAMBIGUATION PAGE
Variations; Varied; Varying; Variation (disambiguation); Viccitude; Variations (album); Variation (combinatorics); Variations (Combinatorics); Variation (Combinatorics)
(variations)
1.
A variation on something is the same thing presented in a slightly different form.
This delicious variation on an omelette is quick and easy to prepare...
N-COUNT: usu N on n
2.
A variation is a change or slight difference in a level, amount, or quantity.
The survey found a wide variation in the prices charged for canteen food...
Every day without variation my grandfather ate a plate of cold ham.
N-VAR

Βικιπαίδεια

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. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists since most systems are inherently nonlinear in nature. Nonlinear dynamical systems, describing changes in variables over time, may appear chaotic, unpredictable, or counterintuitive, contrasting with much simpler linear systems.

Typically, the behavior of a nonlinear system is described in mathematics by a nonlinear system of equations, which is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear as variables of a polynomial of degree higher than one or in the argument of a function which is not a polynomial of degree one. In other words, in a nonlinear system of equations, the equation(s) to be solved cannot be written as a linear combination of the unknown variables or functions that appear in them. Systems can be defined as nonlinear, regardless of whether known linear functions appear in the equations. In particular, a differential equation is linear if it is linear in terms of the unknown function and its derivatives, even if nonlinear in terms of the other variables appearing in it.

As nonlinear dynamical equations are difficult to solve, nonlinear systems are commonly approximated by linear equations (linearization). This works well up to some accuracy and some range for the input values, but some interesting phenomena such as solitons, chaos, and singularities are hidden by linearization. It follows that some aspects of the dynamic behavior of a nonlinear system can appear to be counterintuitive, unpredictable or even chaotic. Although such chaotic behavior may resemble random behavior, it is in fact not random. For example, some aspects of the weather are seen to be chaotic, where simple changes in one part of the system produce complex effects throughout. This nonlinearity is one of the reasons why accurate long-term forecasts are impossible with current technology.

Some authors use the term nonlinear science for the study of nonlinear systems. This term is disputed by others:

Using a term like nonlinear science is like referring to the bulk of zoology as the study of non-elephant animals.