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 ...

First, let's take a look at what Google did because it's an impressive approach in and of itself. For training data, DeepMind received a series of equations along with their solutions—like a math ...

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 ...

When you buy through links on our articles, Future and its syndication partners may earn a commission. Mathematicians have solved a longstanding algebra problem, providing a general solution for ...

Google's DeepMind uncovered surprising solutions to the equations governing fluid dynamics, potentially accelerating vehicle ...