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www.jeremykun.com | ||
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vankessel.io
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| | | | | A blog for my thoughts. Mostly philosophy, math, and programming. | |
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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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ryhl.io
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| | | | | When I try to learn a new programming language, I don't write a hello world. Instead, I write a generator of newton fractals. | |
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theproofangel.wordpress.com
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| | | Do you believe that standards of English are declining, and as a result the end of the world is nigh? If you do, or if you are a disciple of Gwynne's Grammar, you might find this post enlightening. As the writer says, English is more flexible & robust than some people think. It can be... | ||
