quadratic map

quadratic map
Макаров: квадратичное отображение

Универсальный англо-русский словарь. . 2011.

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  • Quadratic form — In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example, is a quadratic form in the variables x and y. Quadratic forms occupy a central place in various branches of mathematics, including… …   Wikipedia

  • Quadratic function — A quadratic function, in mathematics, is a polynomial function of the form f(x)=ax^2+bx+c ,!, where a e 0 ,!. The graph of a quadratic function is a parabola whose major axis is parallel to the y axis.The expression ax^2+bx+c in the definition of …   Wikipedia

  • Quadratic field — In algebraic number theory, a quadratic field is an algebraic number field K of degree two over Q. It is easy to show that the map d ↦ Q(√d) is a bijection from the set of all square free integers d ≠ 0, 1 to the set of… …   Wikipedia

  • Complex quadratic polynomial — A complex quadratic polynomial is a quadratic polynomial whose coefficients are complex numbers. Contents 1 Forms 2 Conjugation 2.1 Between forms 2.2 With doubling map …   Wikipedia

  • Periodic points of complex quadratic mappings — This article describes periodic points of some complex quadratic map. This theory is applied in relation with the theories of Fatou and Julia sets.DefinitionsLet :f c(z)=z^2+c, where z and c are complex valued. (This f is the complex quadratic… …   Wikipedia

  • Logistic map — The logistic map is a polynomial mapping of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non linear dynamical equations. The map was popularized in a seminal 1976 paper by the… …   Wikipedia

  • Complex squaring map — In mathematics, the complex squaring map, a polynomial mapping of degree two, is a simple and accessible demonstration of chaos in dynamical systems. It can be constructed by performing the following steps: Choose any complex number on the unit… …   Wikipedia

  • Ε-quadratic form — In mathematics, specifically the theory of quadratic forms, an ε quadratic form is a generalization of quadratic forms to skew symmetric settings and to * rings; epsilon = pm 1, accordingly for symmetric or skew symmetric. They are also called (… …   Wikipedia

  • Bilinear map — In mathematics, a bilinear map is a function of two arguments that is linear in each. An example of such a map is multiplication of integers.DefinitionLet V , W and X be three vector spaces over the same base field F . A bilinear map is a… …   Wikipedia

  • Chaos theory — This article is about chaos theory in Mathematics. For other uses of Chaos theory, see Chaos Theory (disambiguation). For other uses of Chaos, see Chaos (disambiguation). A plot of the Lorenz attractor for values r = 28, σ = 10, b = 8/3 …   Wikipedia

  • Orbit portrait — In mathematics, an orbit portrait is a combinatorial tool used in complex dynamics for understanding the behavior of one complex dimensional quadratic maps. In simple words one can say that it is : a list of external angles for which rays… …   Wikipedia


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