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www.jeremykun.com | ||
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thatsmaths.com
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| | | | | There are numerous branches of mathematics, from arithmetic, geometry and algebra at an elementary level to more advanced fields like number theory, topology and complex analysis. Each branch has its own distinct set of axioms, or fundamental assumptions, from which theorems are derived by logical processes. While each branch has its own flavour, character and... | |
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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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blog.lambdaclass.com
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| | | | | Elliptic curves (EC) have become one of the most useful tools for modern cryptography. They were proposed in the 1980s and became widespread used after 2004. Its main advantage is that it offers smaller key sizes to attain the same level of security of other methods, resulting in smaller storage | |
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rareskills.io
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| | | Elliptic Curves over Finite Fields What do elliptic curves in finite fields look like? It's easy to visualize smooth elliptic curves, but what do elliptic curves over a finite field look like? The following is a plot of $y² = x³ + 3 \pmod {23}$ Because we only allow integer inputs (more specifically, finite field... | ||
