Smooth Structure

In mathematics, a smooth structure on a manifold allows for an unambiguous notion of smooth function. In particular, a smooth structure allows one to perform mathematical analysis on the manifold.

Read more about Smooth Structure:  Definition, Maximal Smooth Atlases, Equivalence of Smooth Structures, Exotic Spheres, Related Structures

Famous quotes containing the words smooth and/or structure:

    “He stands in warm water
    Soap all over the smooth of his thigh and stomach
    “Gary don’t soap my hair!”
    Mhis eye-sting fear—”
    —Gary Snyder (b. 1930)

    “One theme links together these new proposals for family policy—the idea that the family is exceedingly durable. Changes in structure and function and individual roles are not to be confused with the collapse of the family. Families remain more important in the lives of children than other institutions. Family ties are stronger and more vital than many of us imagine in the perennial atmosphere of crisis surrounding the subject.”
    —Joseph Featherstone (20th century)