Gradus suavitatis
The gradus suavitatis (Latin for degree of sweetness), also known as Euler complexity is probably the first complexity measure historically.[1] It is somewhat similar to the Wilson norm, in that it depends on the prime factorization.
Definition
Given s, the sum of prime factors, and n the number of prime factors, Euler's gradus function is s - n + 1. For example [math]\displaystyle{ \text{Gradus}\left(\tfrac{15}{8}\right) = 14 - 5 + 1 = 10 }[/math].
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- ↑ Leonhard Euler (1739) Tentamen novae theoriae musicae (Attempt at a New Theory of Music), St. Petersburg.