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jmanton.wordpress.com | ||
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www.jeremykun.com
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
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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www.themathdoctors.org
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gwhphotos2.wordpress.com
Where I live, rarely does one find a garage door that has any art on it, so this bison door was a very impressive find. For more interesting doors photos, and/or to share yours, visit Thursday Doors. |
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