141–150 of 170 posts
I got a B in probability because I didn't write a proof of the central limit theorem on the allowed cheat sheet for the final exam. So of course it's the first thing I looked for on this one. It's not there.
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Well, I find it extremely useful. This is my new go-to item when someone asks me, "What would you bring with you if you could go back in time to the year 1600?"
This comment got me thinking: if that were to happen unexpectedly, how would you 1) determine when and where you were, and 2) convince the locals who probably don't speak your language or look like you not to kill or imprison you?
You know you're in for a head banging when the Table of Contents is 25 pages long! :o
OK, so, I also hate to be "that guy", but, despite the admirable effort put into creating this by the author, I am sad to say I don't see why some people are excited about this... Because unfortunately after just looking at a few pages, I saw lots and lots of error and misleading or plain confusing statements, basically on every single page I looked at closer, which makes me distrust it. Granted, these vary in their…
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This comment got me thinking: if that were to happen unexpectedly, how would you 1) determine when and where you were, and 2) convince the locals who probably don't speak your language or look like you not to kill or imprison you?
3) Live for more than a few days, with bacterial fauna of that time being so different, your immune system, completely unpolished for those type of bugs, would probably hold out for only a very short time.
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3) Live for more than a few days, with bacterial fauna of that time being so different, your immune system, completely unpolished for those type of bugs, would probably hold out for only a very short time.
Your immune system carries memories of those days.
One day , I'll make an Anki version of this.
Speaking of, can anyone commend some good Anki mathematics decks?
If people share links here, I'll send a PR to learnawesome to add those under mathematics#flashcards section.
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This kind of thing? https://en.wikipedia.org/wiki/Abramowitz_and_Stegun I'm not sure there's really an English word for it. That's strange.
Normally, I've heard others reference books like A&S as a "handbook." It's even in the formal title.
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There are a few short ones going from area integral comparisons.
The easiest is to look at characteristic functions and cumulants; for a random variable T with PDF p(t) we say T ~ p and define φ_T[f] = ∫ dt p(t) exp(-2πift) = ⟨ exp(-2πifT) ⟩ If two variables X ~ r and Y ~ s are independent then you can prove [from ⟨f(X) g(Y)⟩ = ⟨f(X)⟩ ⟨g(Y)⟩ or X+Y ~ q where q(z) = ∫ dx r(x) s(z — x)] that their sum has a characteristic function φ_{X+Y} = φ_X + φ_Y And therefore the “sample mean”…
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Some believe the pi version is superior due to the inclusion of three operators (+, *, exp), and five numbers (0, 1, i, e, pi) which are all fundamental in some sense. The tau version omits the + and the 0.
e^iτ + 0 = 1 Fixed.
e^iπ+1=0 from
e^ix=sinx + icosx with x=π