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| {{Multiple issues|original research =September 2007|refimprove =July 2007}}
| | Hello and welcome. My name is Ling. Interviewing is what she does in her day job but soon her spouse and her will start their own company. One of the issues I adore most is climbing and now I have time to consider on new issues. Delaware is our birth location.<br><br>my web blog; [http://odw.my-Hobbys.com/index.php?mod=users&action=view&id=966 auto warranty] |
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| '''High-dimensional model representation''' is a [[Wikt:finite|finite]] [[Expansion (geometry)|expansion]] for a given ''multivariable'' [[Function (mathematics)|function]]. The expansion is first described by Sobol as
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| : <math>f(\mathbf{x}) = f_0+
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| \sum_{i=1}^nf_i(x_i)+
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| \sum_{i,j=1 \atop i<j}^n
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| f_{ij}(x_{j},x_{j})+ \cdots +
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| f_{12\ldots n}(x_1,\ldots,x_n).</math>
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| The method, used to determine the right hand side functions, is given in Sobol's paper.<ref name="sobol" /> A review can be found here: [http://www.ima.umn.edu/reactive/abstract/li1.html High Dimensional Model Representation (HDMR): Concepts and Applications].
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| ==See also== | |
| *[[Volterra series]]
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| ==References==
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| <references>
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| <ref name="sobol">{{citation
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| | last = Sobol' | first = I. M.
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| | issue = 4
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| | journal = Mathematical Modeling and Computational Experiment
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| | mr = 1335161
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| | pages = 407–414 (1995)
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| | title = Sensitivity estimates for nonlinear mathematical models
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| | volume = 1
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| | year = 1993}}.</ref>
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| </references>
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| {{DEFAULTSORT:High-Dimensional Model Representation}}
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| [[Category:Functions and mappings]]
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| {{mathanalysis-stub}}
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Latest revision as of 03:15, 22 October 2014
Hello and welcome. My name is Ling. Interviewing is what she does in her day job but soon her spouse and her will start their own company. One of the issues I adore most is climbing and now I have time to consider on new issues. Delaware is our birth location.
my web blog; auto warranty