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mathscholar.org
| | principlesofcryptography.com

Divisibility, common divisors, linear combination representation, relatively prime integers, Euclid's Lemma, and ?2 irrationality proof
5.8 parsecs

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| | jmanton.wordpress.com

The following hints atwhy the quintic equation cannot be solved using radicals. It follows the approach in the first part of Ian Stewart's book "Galois Theory". If time permits, a future post will summarise the approach in V. B. Alekseev's book "Abel's Theorem in Problems and Solutions". Another candidate is Klein's book "Lectures on the...
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| | mattbaker.blog

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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| | ayvlasov.wordpress.com

Recent debates on possibility of quantum computer provoked a specific prize. Between all, Scott Aaronson wrote: [...] whether scalable quantum computing is possible is a question about the laws of physics. It's perfectly conceivable that future developments in physics would conflict with scalable quantum computing, in the same way that relativity conflicts with faster-than-light communication,...
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