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:
“Nations are possessed with an insane ambition to perpetuate the memory of themselves by the amount of hammered stone they leave. What if equal pains were taken to smooth and polish their manners?”
—Henry David Thoreau (1817–1862)
“If rightly made, a boat would be a sort of amphibious animal, a creature of two elements, related by one half its structure to some swift and shapely fish, and by the other to some strong-winged and graceful bird.”
—Henry David Thoreau (1817–1862)