pharmine
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 27 What is the integral of $x(1-x)^8$? 16 How could we find the largest number in the sequence $\sqrt{50},2\sqrt{49},3\sqrt{48},\cdots 49\sqrt{2},50$? 14 How would I solve $\frac{(n - 10)(n - 9)(n - 8)\times\ldots\times(n - 2)(n - 1)n}{11!} = 12376$ for some $n$ without brute forcing it? 9 Proof of Convergence: Babylonian Method $x_{n+1}=\frac{1}{2}(x_n + \frac{a}{x_n})$ 9 Mathematics and Music

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### Questions (6)

 2 Translational invariance and zero eigenvalue 2 Inferring a probability distribution from another probability distribution 2 Hilbert transform of white noise 1 Diffusion of a chemical species inside a Y-shaped tube 1 Solving a PDE using the method of characteristics

### Tags (57)

 47 algebra-precalculus × 7 16 elementary-number-theory 34 integration × 2 14 combinatorics 24 inequality × 15 13 complex-analysis × 3 22 calculus × 5 12 recurrence-relations × 2 22 sequences-and-series × 3 10 chemistry × 2

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