We prove two theorems concerning Lyapunov functions on metric spaces. The new element in these theorems is the lack of a hypothesis of compactness or local compactness. The first theorem applies to a ...

Atsuji has internally characterized those metric spaces X for which each real-valued continuous function on X is uniformly continuous as follows: (1) the set X' of limit points of X is compact, and (2 ...

Scientists have discovered a new method for predicting those most at risk for thrombus, or blood clots, in the heart. The critical factor, they found, is the degree to which the mitral jet penetrates ...

SAN FRANCISCO--(BUSINESS WIRE)--Foundational, a data management solution that proactively prevents issues in data platforms, today announced at Snowflake’s annual user conference, Snowflake Data Cloud ...