Chris

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 Oct2 comment Surprising identities / equations How is this formula not immediately obvious? Sep29 comment closed form $f_n=\sqrt{2f_{n-1}}$ ? So f_1 = 2^(1 + 3/4) ?, but I thought f_1 was 2^(1/2) Sep29 comment Surprising identities / equations This topic seems very intriguing, so thanks for posting +1. Sep28 comment Surprising identities / equations @DanielV, it does lead to a paradox. The sum from 1 to infinity of 2^k = 2 + 2 + 2 + 2 etc. = -1 (our assumption). Now 2 = 1+1. Therefore 1 + 1 + 1 + 1 + 1 = -1. But the sum from 1 to infinity of 1^k = -1/2. Sep28 comment Surprising identities / equations How can the sum from 1 to infinity of positive integers lead to a negative number? Sep11 comment Blue eyes: a logic puzzle @IttayWeiss, what is an example of a harder logic problem? Feb6 comment Find a function that that makes the value of this improper integral equal to 1. Thanks for your answer. Feb6 comment Find a function that that makes the value of this improper integral equal to 1. I wasn't sure about the title. Please feel free to correct. Feb1 comment How is this linear 2nd-order ODE solved? My solution accidentally solved for equation (11) instead of (14) oops Feb1 comment How is this linear 2nd-order ODE solved? Hint: Equation (5) in the paper is wrong. The subscript for phi should be k, not n. Oct19 comment Successive Bounces of Ball Paradox Could it be resolved if the balls height is assumed to be fixed for all bounces? Oct18 comment Successive Bounces of Ball Paradox Thanks Sam, your answer appears to have resolved the apparent paradox. Oct18 comment Successive Bounces of Ball Paradox My argument for method 2 is like this. Let's assume velocity is 2m/s. Distance = 2*t. After 3 seconds, Distance = 2*3 = 6m, exceeding 2. Oct18 comment Successive Bounces of Ball Paradox Argument for Method 2: Speed = Distance/time. Distance = Speed*Time. Speed is constant. There is no upper bound on time, and therefore no upper bound on distance. Oct18 comment Successive Bounces of Ball Paradox But Method 1 is wrong. Oct18 comment Successive Bounces of Ball Paradox Yes my previous comment was incorrect. Oct18 comment Is $f(x) = x/x$ the same as $f(x) = 1$? Ok thanks guys these comments have been useful. Oct18 comment Is $f(x) = x/x$ the same as $f(x) = 1$? Isn't it discontinuous because the limit as f(x) approaches 0 is not equal to f(0)? Sep18 comment Direction of a bearing What did the teacher say? Sep18 comment Roots of fractions Please pick a best answer.