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Ergodicity conditions obtained by an averaging procedure are studied. In linear theorems this method is proved to be equivalent to the use of statistical mixtures of projector-type instead of pure ensembles. Conditions recently proposed by Prosperi and Scotti are clarified to give a relation between some arbitrary subspace a and the Hamilton operatorH: if and only if b is turned uniformly throughout the energy shell, it satisfies the ergodicity conditions. An equivalent statement is {ie201-01} for every energy eigenvector φϱ.

The total number of patients we treated for cancer of the skin was sixty. In order to characterise this group of patients it will suffice to say that only twelve of the whole group had not been subjected to an operation or to treatment with ray energy previous to the application of radon. All the others had been subjected to repeated operations, to treatment with roentgen rays and radium, as well as to operative treatment combined with the application of ray energy. This precedent treatment either gave no results whatever, or after a certain improvement in the patient's condition, or even the patient's recovery, his condition again became worse or a recidivation of the disease occurred. Those patients had been affected with the disease for many years, and some of them had been subjected to treatment with ray energy for years. It is evident that those were not cases of epithelioma remaining for a long period in statu quo, which are covered with a crust, and have a tendency to heal due to the application of...