The Annals of Probability, Vol. 34, No. 2 (Mar., 2006), pp. 663-727 (65 pages) We develop a new method to uniquely solve a large class of heat equations, so-called Kolmogorov equations in infinitely ...
Sufficient conditions are given for the existence, uniqueness and finite-dimensional approximation of the solution to a first-order infinite-dimensional vector differential equation. Given a suitable ...
Recent advances in large language models (LLMs) have made artificial intelligence more adaptable than ever before, but that comes with a drawback: lies. Generative AI tends to make things up, but ...
It was a problem that had baffled mathematicians for centuries – until British professor Andrew Wiles set his mind to it. “There are no whole number solutions to the equation xn + yn = zn when n is ...
It was a problem that had baffled mathematicians for centuries – until British professor Andrew Wiles set his mind to it. “There are no whole number solutions to the equation xn + yn = zn when n is ...