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)
“The philosopher believes that the value of his philosophy lies in its totality, in its structure: posterity discovers it in the stones with which he built and with which other structures are subsequently built that are frequently better—and so, in the fact that that structure can be demolished and yet still possess value as material.”
—Friedrich Nietzsche (1844–1900)