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ianwrightsite.wordpress.com | ||
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peterbloem.nl
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| | | | | [AI summary] The text provides an in-depth explanation of the Fundamental Theorem of Algebra, which states that every non-constant polynomial of degree $ n $ has exactly $ n $ roots in the complex number system, counting multiplicities. It walks through the proof by first establishing that every polynomial has at least one complex root (using the properties of continuous functions and the complex plane), then using polynomial division to factor the polynomial into linear factors, and finally addressing the nature of roots (real vs. complex) and their multiplicities. The text also touches on the conjugate root theorem, which explains why complex roots of polynomials with real coefficients come in conjugate pairs. | |
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rjlipton.com
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| | | | | "If I were to awaken after having slept a thousand years, my first question would be: has the Riemann Hypothesis been proven?" - David Hilbert Steklov Institute memorial page Sergei Voronin was an expert in number theory, who studied the Riemann zeta function, but who sadly died young over twenty years ago. We discussed his... | |
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www.kuniga.me
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| | | | | NP-Incompleteness: | |
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mmph.wordpress.com
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| | | The recent post on cloud computing and Google Docs made me ask myself whether Google Docs supports (La)TeX. It turned out you can insert LaTeX equations into your Google doc (as discussed in more detail e.g. here) but that's that for now. There exists a LaTeX Lab project aspiring to develop a web-based LaTeX editor... | ||
