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then matching procedure assumes searching for the specific set of model parameters 

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body--uriencoded--%7B\bf p%7D_%7B\rm fit%7Dbestfit%7D
 to minimize the goal function:

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alignmentleft
G({\bf p}) = \sum_{k=1}^N \, \Psi \left( y^*(x_k) - y_k \right) \rightarrow \textrm{min} \ \Longleftrightarrow \ {\bf p} = {\bf p}_{\rm fitbestfit}

where 

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body\Psi(z)
 is the discrepancy distance function.

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