Worlds of David Darling
Encyclopedia of Science
   
Home > Encyclopedia of Science

smooth



  1. Infinitely differentiable; possessing infinitely many derivatives. For example, sin(x) is a smooth function, while |x|3 is not. More complicated mathematical objects such as manifolds are called smooth if they are defined or described by smooth functions.

  2. Continuously differentiable; possessing a continuous tangent or derivative.

Related category

   • CALCULUS AND ANALYSIS