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:

    We are born with luck
    which is to say with gold in our mouth.
    As new and smooth as a grape,
    as pure as a pond in Alaska,
    as good as the stem of a green bean
    we are born and that ought to be enough....
    Anne Sexton (1928–1974)

    Slumism is the pent-up anger of people living on the outside of affluence. Slumism is decay of structure and deterioration of the human spirit. Slumism is a virus which spreads through the body politic. As other “isms,” it breeds disorder and demagoguery and hate.
    Hubert H. Humphrey (1911–1978)