Suppose that $R$ is a Noetherian Ring, $m$ is a maximal ideal and $I$ is an ideal. Prove that if $\exists n \in \mathbb{N}$ such that $m \supset I \supset m^{n}$ then $I$ is a primary ideal. That is, $ab \in I \implies a \in I$ or $b^{n} \in I$ for some $n \in \mathbb{N}$.
I am trying to understand a paper where the term "Gaussian Kernel" is used often. Upon first reading it I thought kernel and $\sigma$ (standard deviation) were synonyms, but upon reading this document, it sounds like the sigma is one of the parameters of the kernel, but it isn't one to one with i...
I'm studying a nonequilibrium dynamics of a stochastic system. I found that in mean-field approximation the numerical solution resembles a bell shaped function (Gaussian function) with is zero at initial time, then reaches its maximum and finally decays to zero. I was wondering if there exist a s...
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