The function is pretty funny too. It adds +, -, and . as digits in base-13, and then his function interprets it as a base-10 number.

Jun 27, 2024 · That got me thinking why can't we just define a random variable as a probability measure on the Borel sets instead of using another measure on another $\sigma$ -algebra …

Mar 31, 2018 · What is the intuition behind Almgren's frequency function? Ask Question Asked 7 years, 7 months ago Modified 7 years, 7 months ago

May 7, 2024 · For instance, multiplying a Dirichlet series by the reciprocal of the Riemann zeta function performs Mobius inversion on its sequence of coefficients. L-functions encode …

Compare this with the order differential equation for $1+2\sum z^ {n^2}$, which has maximal degree (as polynomial in the generating function and its derivatives) 14 and something like 15 …

My question is, are there any well-known techniques for expanding such a general function using some aspect of the Riemann zeta function $\zeta (s)$, its non-trivial zeros, or other closely …

Aug 11, 2010 · The expression without the $1/n$ factor is always larger than the minimum. This is a problem if there are many points near the minimum - the approximation becomes too …

This function is not in the arithmetic hierarchy, but it exists at the entry level $\omega$ to the hyperarithmetic hierarchy. The halting problem function, which correctly labels program-input …

And in some cases if you integrate a likelihood function with respect to some obvious measure you get $+\infty,$ so that function cannot be a probability density function.

This is a generalization of the question given at Definition of Function. I think it fairly clear that the Bourbaki and the ordered pair definition of functions are equivalent. A deeper question is