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They are particularly useful in system modeling such as in implementing complex mappings and system identification.
The dependence of the solution on the parameters of the complex mappings is discussed.
They are particularly useful in system modelling such as in implementing complex mappings and system identification.
The large gradient problems which occur in the governing equations at critical layers are treated by diverting the integration path into the complex plane, making use of complex mappings.
This would probably require to analyze more complex mappings among features and software elements.
The loading process is also designed to manage data sets with complex mappings.
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The composition of simple local models for approximating complex nonlinear mappings is a common practice in recent modeling and control literature.
Thus one can ask: Two complex Hénon mappings of degree d have biholomorphic escaping sets if and only if their ((d-1)) th powers are conjugate.
Let (U^_{1}) and (U^_{2}) be the escaping sets of two quadratic complex Hénon mappings written in normalized form, (H_{a,c}}) and (H_{a',c'}},) respectively.
(Restrictions on degrees and Jacobians) Let (H_1) and (H_2) be two complex Hénon mappings of respective degrees (d_1, d_2) and Jacobians (a_1,, a_2,) such that the corresponding escaping sets are biholomorphic.
Let us consider two complex Hénon mappings (H_{i}:left( {begin{array}{c}x yend{array}}right) mapsto left( {begin{array}{c}P_{i}(x -a_{i}y x -a_{i}yy}}right)), (i in {1,,2}) together with their respective forward escaping sets (U^_{1},,U^_{2}).
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