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• a function 

  LaTeX Math Inline
  body --uriencoded--y%5e*(x, %7B\bf p%7D)

   of the argument 

  LaTeX Math Inline
  body t \in \Rx

   and set of model parameters 

  LaTeX Math Inline
  body --uriencoded--%7B\bf p%7D = \%7B p_m\%7D_%7Bm = 1..M%7D = \%7Bp_1, p_2, ... p_M\%7D

• a discrete finite training dataset: 

  LaTeX Math Inline
  body --uriencoded--\%7B (x_k, y_k)\%7D_%7Bk = 1..N%7D = \%7B (x_0, y_0), (x_1, y_1), ..., (x_N, y_N) \%7D

   representing the available knowledge about the system the model is trying to describe

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

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

where 

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