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www.jeremykun.com | ||
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susam.net
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| | | | | [AI summary] An article explains the mathematical relationship between fields and their trivial ideals within ring theory. | |
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almostsuremath.com
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| | | | | The aim of this post is to motivate the idea of representing probability spaces as states on a commutative algebra. We will consider how this abstract construction relates directly to classical probabilities. In the standard axiomatization of probability theory, due to Kolmogorov, the central construct is a probability space $latex {(\Omega,\mathcal F,{\mathbb P})}&fg=000000$. This consists... | |
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www.math3ma.com
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| | | | | [AI summary] The article explains the hierarchy of integral domains in abstract algebra, detailing the relationships and proofs between fields, Euclidean domains, principal ideal domains, and unique factorization domains. | |
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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... | ||
