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jmanton.wordpress.com | ||
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lispy.wordpress.com
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| | | | | I didn't immediately recognize the equation that Steve Knight used in his answer to problem 6 of the Euler Project, but it was in fact just the formula for an arithmetic series. This one's actually pretty easy to come to from an intuitive standpoint. The story goes that Gauss had one of the meanest school... | |
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www.jeremykun.com
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| | | | | The First Isomorphism Theorem The meat of our last primer was a proof that quotient groups are well-defined. One important result that helps us compute groups is a very easy consequence of this well-definition. Recall that if $ G,H$ are groups and $ \varphi: G \to H$ is a group homomorphism, then the image of $ \varphi$ is a subgroup of $ H$. Also the kernel of $ \varphi$ is the normal subgroup of $ G$ consisting of the elements which are mapped to the identity under $ \varphi$. | |
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njwildberger.com
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| | | | | Our paper "A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode" is now available at Taylor and Francis Online. It will appear next month in print form in the American Mathematical Monthly. Here is the link to the paper: https://www.tandfonline.com/doi/full/10.1080/00029890.2025.2460966 From the Abstract: The Catalan numbers?? ??count the number of subdivisions of a polygon... | |
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cambodianbeginnings.wordpress.com
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