The authors formulate the objective of their study as "an attempt to identify the physically transparent factors that are responsible for the deviations from the laws of similarity and to evaluate the significance of these deviations" based on the analysis of 1500 earthquakes of different scales and geneses. Then, using a few simple initial empirical relationships and model assumptions, through mutual substitutions, the authors write out about 20 formulas. As a result, the analysis is reduced to evaluating the scaled seismic energy e = E-s/M-0, where E-s is seismic energy and M-0 is seismic moment, and exploring its variations. The scaled seismic energy is treated by the authors as an indicator of radiation efficiency; the detection and interpretation of the dependence of this parameter on the magnitude of the earthquake is the main content of the work. However, as of now these definitions and interpretations have been considered by the seismological community as fixed and fairly well established notions; their physical sense and interrelations are no longer the objects of scholarly research but are rather deemed as reference. To support this, below I cite the relevant information from the website of the U.S. Geological Survey (USGS).
