Activity for HDE 226868
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Comment | Post #283387 |
Would it be possible to change the context of the problem so the mathematical principles stay the same but we don't have a question mentioning abuse and murder? I know it was the author's decision, but I feel like you could still rephrase the issue you're having. (more) |
— | over 2 years ago |
| Edit | Post #283230 | Initial revision | — | over 2 years ago |
| Answer | — |
A: When and how should the $Z_n^2$ statistic be used? By choosing $n=1$, Kuechel et al. actually use the special case of the Rayleigh statistic $R^2$, which only looks at the fundamental harmonic. In general, however, the $Zn^2$ statistic is ideal for searching for non-sinusoidal periodic signals, which requires looking at contributions from higher harm... (more) |
— | over 2 years ago |
| Comment | Post #278558 |
@Mithrandir24601 Thank you! I hadn't seen that it had been taken down. (more) |
— | over 3 years ago |
| Edit | Post #278558 |
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— | over 3 years ago |
| Edit | Post #278558 |
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— | over 3 years ago |
| Edit | Post #278558 |
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— | over 3 years ago |
| Edit | Post #278558 |
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— | over 3 years ago |
| Edit | Post #278558 | Initial revision | — | over 3 years ago |
| Question | — |
When and how should the $Z_n^2$ statistic be used? I was reading a paper (Kuechel et al. 2020, since retracted; see original version) claiming a detection of a high-frequency periodic signal coming from a known pulsar.[^1] The authors used something called the $Zn^2$ statistic, a test I'm not familiar with. Assuming we have a time series of $N+1$ pho... (more) |
— | over 3 years ago |
| Comment | Post #278419 |
@DonielF That's quite true, though I'm less interested in sets containing all of the primes and more interested in subsets of primes. (more) |
— | over 3 years ago |
| Edit | Post #278419 | Initial revision | — | over 3 years ago |
| Question | — |
Can we adapt Furstenberg's proof of the infinitude of primes to other interesting subsets of the integers? In a textbook, I was introduced to Furstenberg's topological proof of the infinitude of primes, which goes basically as follows: We define a topology on $\mathbb{Z}$ such that the sets $$S(a,b)=\set{an+b|n\in\mathbb{N}}$$ for $a$ and $b$ integers, with $a\neq0$, as well as the empty set, are ope... (more) |
— | over 3 years ago |