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as the expectation value of <math>x_k</math>. In the [[path integral formulation]] of [[quantum field theory]], these auxiliary functions are commonly referred to as [[source field]]s.
Multiple differentiations lead to the [[connected correlation function|Ursell function]]s of the random variables. Thus the correlation function <math>C(x_j,x_k)</math> between variables <math>x_j</math> and <math>x_k</math> is given by:
:<math>C(x_j,x_k) = \left.
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