Intuitionistic logic rejects the law of excluded middle, and paraconsistent logic rejects the law of non-contradiction. I wondered whether the rejected laws can still be incorporated, if they're modified with modal aspects. I see an easy modification of the law of non-contradiction that is compat...

In this question I overlooked that the class $f_s(x)=e^{sT(x)}$ for $T(x)=\frac{1}{\log x},$ is Schwartz, on $x \in (0,1).$ Therefore we can obtain a functional equation, see this answer. However, I am having some difficulties obtaining the Gamma factor. I started by writing down the calculation:...

In statistics, distributions in the exponential family are very natural to consider. One famous example is the Gaussian. It shows up in the heat equation, in probability theory, and in many other fields. While the Gaussian may be most important due to the central limit theorem, distributions in t...