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| | www.scientificamerican.com
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| | Imaginary numbers-the square roots of negative numbers-are an inescapable part of quantum theory, a study shows
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| | Many modern mathematical proofs are a combination of conceptual arguments and technical calculations. There is something of a tradeoff between the two: one can add more conceptual arguments to try ...
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| | The Riemann Hypothesis Perhaps the greatest unsolved problem in mathematics is to explain the distribution of the prime numbers. The overall ``thinning out'' of the primes less than some number $latex {N}&fg=000000$, as $latex {N}&fg=000000$ increases, is well understood, and is demonstrated by the Prime Number Theorem (PNT). In its simplest form, PNT states that...
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| [AI summary] The text discusses the use of geometric algebra to solve a sunset problem posed by Robert Vanderbei, avoiding the need for angles. It highlights the advantages of geometric algebra over classical trigonometry, complex numbers, and other methods, emphasizing its coordinate-free nature and applicability to higher dimensions. The text also recommends resources for learning geometric algebra and mentions related problems and experiments for estimating Earth's size.