A New Formula connecting Magnitude and Number of Earthquakes.

Abstract

A new formula
logn=(1-M/M_x)
connecting the magnitude M and the number n of earthquakes is proposed, where
n₀……number of earthquakes having a magnitude 0,
M_x……magnitude of the largest conceivable earthquake.
This formula represents observational facts very nicely. It involves only one constant log n0, in a contrast with the formula by GUTENBERG and RICHTER
logN=a+b(8-M)
which involves two. a and b in the above formula have beee found not to be quite independent.
The new formula implies that n(M) is equal to n₀^f(M), instead of being equal to n₀·φ(M), as is usually taken for granted.