A new formulalogn=(1-M/Mx)connecting the magnitude M and the number n of earthquakes is proposed, wheren0……number of earthquakes having a magnitude 0, Mx……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 RICHTERlogN=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 n0f(M), instead of being equal to n0·φ(M), as is usually taken for granted.
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Chuji Tsuboi (1958) studied this question.
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