1. Method for monitoring and analyzing a paper manufacturing process, in which method a large number of quantities (x i, t) are measured from the process, the measured quantities (x i, t) are entered as an input vector ({overscore (X)}, t) into a neural network, which, in response to the input vector, produces an output vector ({overscore (Y)}, t) as a continuous quantity, at least one fingerprint consistent with a good process situation in regard of runnability, i.e. an optimal output vector ({overscore (Y)} o, t) is determined and stored in memory, the stored fingerprints and the fingerprints or output vectors obtained in a normal process situation are compared substantially in real time, based on the comparison, a difference to be presented in a graphic form to the user is determined, characterized in that a continuous time-dependent quantity k&equals;k(t) to be presented as a result to the user is determined as a geometric distance between the instantaneous measured fingerprint ({overscore (Y)}, t) and the taught fingerprint ({overscore (Y)} o ), and the aforesaid quantity k&equals;k(t) for the period of a selected trend T is displayed via a display device to the user.