<prompt> Translate the following text to EnglishNash alishinda kwa kuanzisha mfumo wa Riemannian, ambao ulionyesha kwamba kila aina ya Riemannian inaweza kuingizwa katika nafasi ya Euclidean.  <response>: To do that, Nash, on a wager, disposed of a deep problem that had baffled the profession since the 19 th He showed that any Riemannian manifold possessing a special kind of smoothness can be embedded in Euclidean space. 