We investigate the relativistic Brownian motion in the context of Fokker-Planck equation. Due to the multiplicative noise term of the corresponding relativistic Langevin equation many Fokker-Planck ...

Abstract: This paper presents a new connection between the generalized Marcum-Q function and the confluent hypergeometric function of two variables, Φ 3. This result is then applied to the closed-form ...

Born on December 22, 1887, in Erode, Tamil Nadu, Ramanujan showcased his mathematical brilliance early, mastering trigonometry at just 12 years old. Despite his prodigious talent, he struggled with ...

It was Shakespeare who said, “To hold as ’twere, the mirror up to nature”. The English computer scientist Alan Turing’s “imitation game” or “Turing test” takes the stance that a machine successfully ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

An illustration of a magnifying glass. An illustration of a magnifying glass.

We have some implementations of hypergeometric functions in the Math library (and more to come), that would be good to expose: 2F1: gradients partially implemented (Expand grad_2F1 to calculate ...

Abstract: A fundamental assumption in stochastic computing (SC) is that bit-streams are generally well-approximated by a Bernoulli process, i.e., a sequence of independent 0-1 choices. We show that ...