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blog.ubavic.rs | ||
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mattbaker.blog
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| | | | | In honor of Pi Day 2023, I'd like to discuss Hilbert's 7th Problem, which in an oversimplified (and rather vague) form asks: under what circumstances can a transcendental function take algebraic values at algebraic points? The connection with $latex \pi$ is that Lindemann proved in 1882 that the transcendental function $latex f(z) = e^z$ takes... | |
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alanrendall.wordpress.com
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| | | | | In a previous post I discussed the Brouwer fixed point theorem and I mentioned the fact that it applies to any non-empty closed bounded convex subset of a Euclidean space, since a subset of this kind is homeomorphic to a closed ball in a Euclidean space. However I did not prove the latter statement. I... | |
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nhigham.com
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| | | | | A $latex p$th root of an $latex n\times n$ matrix $LATEX A$ is a matrix $LATEX X$ such that $latex X^p = A$, and it can be written $latex X = A^{1/p}$. For a rational number $latex r = j/k$ (where $latex j$ and $latex k$ are integers), defining $latex A^r$ is more difficult: is... | |
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5blogs.wordpress.com
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| | | The (best) five blogs I read today. Check them out. Command and control management is straight-up killing people Written by: Ted Bauer Leadership: A Cycle to Deliver Transformation Written by: Thomas Cagley Sustainable Pair Programming Written by: Marlena Compton Software Testing's Low Barrier to Entry Written by: Alessandra Moreira Encouraging testers to share testing Written... | ||
