Activity for Mithrandir24601‭

Type	On...	Excerpt	Status	Date
Answer	—	A: Don't downvote just because someone posted screenshot. For various reasons, people need to use screen readers. To my knowledge, screen readers can't read text from images, so this is an accessibility issue. In addition, some people might just find it hard to read text in images. While there's nothing wrong with using screenshots, it is important t... (more)	—	about 3 years ago
Answer	—	A: Why does the decimal expansion of $1/(10n - 1)$ have this neat pattern? First of all, there is indeed a pattern. To figure out why, there's an easier example than what you've found: $$0.\bar{1} = \frac{1}{9}.$$ How does that work? $1$ is the only power of $1$: $1^n = 1$. Now, how do we prove this? if $x = 0.\bar{1}$, then $10x = 1.\bar{1}$ and so, $9x=1$. Hid... (more)	—	over 3 years ago
Question	—	Which of the multiple definitions of correlation to use? In optics[^1], we have a notion of coherence, that's defined as a normalised correlation/cross-correlation/autocorrelation function: Simplifying notation from the linked Wiki page we can write the (un-normalised, first order) correlation function $$G^{(1)} = \left\langle XY\right\rangle,$$ where I'm ... (more)	—	over 3 years ago