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www.goodmath.org | ||
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christophepocharienergietechnik.com
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| | | | | Arrhenius's Demon: The Chimera of the Greenhouse effect Arrhenius's Demon: The Chimera of the Greenhouse effect Posted on January 6, 2023 by Christophe Pochari Introduction Note: The radiative heat transfer equation based on Stefan-Boltzmann 4th power law is erroneous and cannot be relied upon. The only way to possibly measure radiative heat transfer is by... | |
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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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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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profmattstrassler.com
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| | | Einstein's gravity is widely seen as the most beautiful theory in all of physics. But dark energy, quantum physics, and string theory all raise questions. | ||