Wilson norm: Difference between revisions
m Xenwolf moved page Wilson Height to Wilson height: Rule: only first letter capitalized. Reason: less typing when referenced |
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Note that we have <math>\text{sopfr}(pq) = \text{sopfr}(p) + \text{sopfr}(q)</math>, similar to the logarithm -- as a result, this function is sometimes even referred to as the "integer logarithm." So, equivalently, we can define the Wilson height of a rational number p/q as the Wilson height of p, plus the Wilson height of q. | Note that we have <math>\text{sopfr}(pq) = \text{sopfr}(p) + \text{sopfr}(q)</math>, similar to the logarithm -- as a result, this function is sometimes even referred to as the "integer logarithm." So, equivalently, we can define the Wilson height of a rational number p/q as the Wilson height of p, plus the Wilson height of q. | ||
One important theorem is that the Wilson-optimal tuning happens to also be the Benedetti optimal tuning for subgroups with a pairwise coprime basis (e.g. prime limits and some others); see also [[BOP tuning]]. | |||
== Example == | == Example == | ||