ABSTRACT
Assuming that an original distribution is a probabilistic measure and the Laplace transforms are known only for a finite number of points that are affected by errors, we develop a method for reconstructing weak-sense mean values obtained by integrating smooth functions with the measure. Our method is useful in NMR if the NMR signal can be represented as a superposition of exponential terms. In these circumstances, we show how the data processing can be related to the classical Hausdorf momentum problem. First, we clarify the meaning of stable spectrum reconstruction, and then develop stable filtering and a mean value reconstruction algorithm. Our method has been tested on both simulated and real sets of spin-spin relaxation curves with noise. In view of this, our method could provide an efficient and accurate reconstruction of spin-spin relaxation data. For any reader interested in applications, a "practical recipe" that is almost self-consistent has been included. Copyright 2000 Academic Press.
ABSTRACT
A brief description of nomenclature differences and classification principles is followed by a report of the results from an analysis of cases of osteomyelitis of the jaw which have been treatedduring the years 1967-1972. During this period, altogether 745 patients with soft-tissue infection and 72 patients with osteomyelitis have been treated at the clinic. The chronic form of osteomyelitis is considerably more frequent than the acute one. The odontogenic mode of infection prevails by far. The flora of causativeorganisms and the resistance conditions are dealt with separately. The mixed flora dominates; monoinfections are rare. Antibiotherapy occupies the first place in the treatment of the acute forms whereas surgical intervention is the method of choice in the treatment of the chronic forms of osteomyelitis.
