I am looking for a state of the art library for estimating differential entropy from finite samples. In an ideal world, it would have the following features: Work with real-valued multi-dimensional data (compute joint multivariate entropy) Optimized for high performance (e.g. Implemented in C) ...

Since I'm looking for a way to relate graphs with codes, I was happilly surprised, to find the following: In What is a zeta function?, Chap. 2.1. Functional equation: $$...\zeta_{{G}}(1/qT)=\left(q^2T^2\frac{1-T^2}{1-q^2T^2}\right)^{\#E-\#V} (qT^2)^{\#V}\zeta_{{G}}(T),... $$ Let's remark...

Let $R$ be a ring with $1$. We say that $a,b\in R$ are associate if $a|b$ and $b|a$, i.e. there exist $r,s\in R$ such that $a=rb$ and $b=sa$. This is an equivalence relation on $R$, and I would like to know if the quotient set $R/\sim$ (where $a\sim b$ when $a$ and $b$ are associate) has interest...

The question is already here (what is so great about having an invariant measure?), I was also interested in the same question, what I would say to a non-mathematician, that why one would be interested to know whether invariant measure exists or not, why one would be interested in preserving pr...

integer-relation only has two uses, and neither usage seems to use the tag properly. I suggest we remove this tag (I don't know the protocol for this, please let me know if this is not how one should do this). Likewise, invariant-measure has one use, and that too is a PSQ.