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 (19281974)
“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 (19111978)