MatrixFrog
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 Aug 22 comment Pendulum with moving pivot Possibly better suited to stackoverflow. Physics/math questions are okay there, as long as they're programming-related, which this certainly is. Aug 22 answered Pendulum with moving pivot Aug 11 comment Is It True that We Can Never Be Sure of Validity of a Mathematical Proof? Because computers (designed and built by people, running programs written by people) are way less fallible than people? Aug 6 awarded Nice Question Jul 31 comment How can I understand and prove the “sum and difference formulas” in trigonometry? (cos(a ± b) = …, etc.)? I prefer the geometric perspective too, and it just seems like you shouldn't need to know anything about imaginary numbers to understand these identities. Which is why I asked the question. The big insight I'm getting of course is that the two ways of looking at it are really not that different. Thanks! Jul 31 awarded Critic Jul 31 awarded Student Jul 31 asked How can I understand and prove the “sum and difference formulas” in trigonometry? (cos(a ± b) = …, etc.)? Jul 31 answered What is your favorite estimation exercise? Jul 31 answered Why is the volume of a sphere $\frac{4}{3}\pi r^3$? Jul 31 comment Why does Benford's Law (or Zipf's Law) hold? Similar question: math.stackexchange.com/questions/58/… Jul 31 comment Real life usage of Benford's Law Similar question: math.stackexchange.com/questions/781/… Jul 31 comment A definition of Conway base-13 function "and a non-terminating one ending in repeated p digits" -- this is analogous to the fact that 1/100 can be represented in base 10 as 0.01, or as 0.0099999..., correct? Jul 31 comment A definition of Conway base-13 function I would have used A, B, and C, like programmers do when writing numbers in hexadecimal. But then, a and b already have meaning in this context, so maybe T, E, and W (suggesting their values, Ten, Eleven, and tWelve). The p, d, and m, used by Niel de Beaudrap, is not bad either. Jul 31 answered What is a Markov Chain? Jul 30 awarded Teacher Jul 30 comment A challenge by R. P. Feynman: give counter-intuitive theorems that can be translated into everyday language "there is a way to order the integers (or any countable set) that makes it into a continuum." Wait, really? How do you do that? Do you have a link that discusses this ordering? Jul 30 awarded Supporter Jul 30 answered What calculation shortcuts exist to help or speed-up mental (or paper) calculations?