In 2006, researchers closed a major chapter in mathematics, reaching a consensus that the elusive Poincaré Conjecture, which deals with abstract shapes in three-dimensional space, had finally been ...

When a complex system is left alone, it will return to its initial state with almost perfect precision. Gas particles in a container, for example, will return almost exactly to their starting ...

This is a preview. Log in through your library . Abstract In this paper some qualitative and geometric aspects of nonsmooth vector fields theory are discussed. A Poincaré–Bendixson Theorem for a class ...

The New York Times recently reported that reclusive Russian geometer Grigory Perelman has apparently proved the century-old Poincaré conjecture. The Times calls Poincaré “a landmark not just of ...

Many a mathematician's richest fantasies were realized last week when: 1.1. The Poincaré conjecture, described as "one of the most burning mathematical questions of all time," was declared almost ...

In early April 2002, Dr. Grigori Perelman of the Steklov Institute of Mathematics in St. Petersburg gave a series of public lectures at the Massachusetts Institute of Technology. In the lectures he ...

The Hairy Ball theorem, proved by Henri Poincaré in 1885, demonstrates that it's impossible to create a perfectly smooth hair ...

The public’s view of the mathematician as a reclusive genius toiling away for years at an arcane problem is one that will not go away. The media have enthusiastically seized on this image since the ...

Grigory Perelman proved the Poincare conjecture in 2002-2003 and turned down a $1 million prize awarded to him NEW YORK, May 31. /TASS/. US entrepreneur Elon Musk has admired Russian mathematician ...