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 Mar 8 comment Recovering a quadratic polynomial from three values using calculus You could use (Lagrange/Newton) interpolation. Dec 19 awarded Caucus Dec 15 comment Beginning Haskell - cannot understand proof Which step(s) do you not understand? If it's the last step of the derivation that you don't understand, you need to substitute $1 - \sin^2 \alpha$ for $\cos^2 \alpha$. Nov 18 comment How to find a general sum formula for the series: 5+55+555+5555+…? en.wikipedia.org/wiki/Arithmetico-geometric_sequence Oct 26 awarded Curious Oct 25 revised Back to square 1… retag Oct 25 comment Back to square 1… @hardmath The recurrence in the highest-voted answer to the question you link to doesn't make sense to me; it seems to be backward or something. In particular, we're looking for $f(n)$, not $f(0)$. Oct 25 revised Back to square 1… deleted 1049 characters in body Oct 25 comment Back to square 1… @hardmath Thanks for the link; I'll give it a read. I've only included my code as a supporting explanation for my reasoning. I don't expect answerers to "debug" it for me. I just want to know where my reasoning is wrong. Oct 25 comment Back to square 1… I know that "multiplying an initial vector by the $k$-th power of the transition matrix you will only get the distribution of your state at step $k$". But shouldn't the smallest $k$ such that the probability to be on the last square be $\geq .5$, plus one, be the solution? Your answer is too handwavy... Can you explain why the solution to the toy problem is 13? Oct 25 revised Back to square 1… added 1 character in body Oct 25 asked Back to square 1… Sep 24 awarded Autobiographer Aug 12 comment Irrational numbers in reality Side note. Here is a number that is "non-terminating": 0.999999... Do you also have difficulties visualising it? It turns out to be another way to write 1. Aug 7 suggested rejected edit on How much gas does a car use to carry its own gas? Jun 26 revised Subtraction by addition Correct typo in title, minor fixes Jun 26 suggested approved edit on Subtraction by addition Jun 21 revised How do you integrate the reciprocal of square root of cosine? more descriptive title Jun 21 suggested approved edit on How do you integrate the reciprocal of square root of cosine? Jun 14 comment How can I prove that a square matrix is invertible if it satisfies this polynomial equation? @GeoffNaylor That's a very roundabout way of proving invertibility. Brian's answer is more direct.