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:
“Less smooth than her Skin and less white than her breast
Was this pollisht stone beneath which she lyes prest
Stop, Reader, and Sigh while thou thinkst on the rest
With a just trim of Virtue her Soul was endu’d
Not affectedly Pious nor secretly lewd,
She cut even between the Cocquet and the Prude.”
—Matthew Prior (1664–1721)
“Man is more disposed to domination than freedom; and a structure of dominion not only gladdens the eye of the master who rears and protects it, but even its servants are uplifted by the thought that they are members of a whole, which rises high above the life and strength of single generations.”
—Karl Wilhelm Von Humboldt (1767–1835)