http://tk.dswarmsikhttkg7jgsoyfiqpj3ighupfrvuz5ri3lu5q2dlqyrpgk7ad.onion/posts/2024-04-03-formalised-music-appendix-i.html
Suppose also that these points are numbered \(A_{1},A_{p},A_{q},\dots\) and are distributed from left to right beginning at the origin 0. Let \[
x_{1}=A_{1}A_{p}, x_{2}=A_{p}A_{q},x_{3}=A_{q}A_{r},\dots,x_{i}=A_{s}A_{t}.
\] The probability that the \(i\) th segment will have a length \(x_{i}\) between \(x\) and \(x + dx\) is \[
P_{x}=e^{-cx}c\ dx.
\] Now the probability \(p_{n}\) , that there will be n points on a segment...