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qchu.wordpress.com | ||
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almostsuremath.com
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| | | | | In today's post, I investigate a simple recurrence relation and show how it is possible to describe its behaviour asymptotically at large times. The relation describing how the series evolves at a time n will depend both on its value at the earlier time n/2 and on whether n is even or odd, which, as... | |
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mattbaker.blog
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| | | | | In my last blog post, I discussed a simple proof of the fact that pi is irrational. That pi is in fact transcendental was first proved in 1882 by Ferdinand von Lindemann, who showed that if $latex \alpha$ is a nonzero complex number and $latex e^\alpha$ is algebraic, then $latex \alpha$ must be transcendental. Since... | |
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cgad.ski
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| | | | | [AI summary] This article explores the asymptotic growth of the central binomial coefficient using Laplace's method to analyze random walks on integer lattices. | |
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rareskills.io
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| | | Elliptic Curves over Finite Fields What do elliptic curves in finite fields look like? It's easy to visualize smooth elliptic curves, but what do elliptic curves over a finite field look like? The following is a plot of $y² = x³ + 3 \pmod {23}$ Because we only allow integer inputs (more specifically, finite field... | ||
