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:
“A leaf that is supposed to grow is full of wrinkles and creases before it develops; if one doesn’t have the patience and wants the leaf to be as smooth as a willow leaf from the start, then there is a problem.”
—Johann Wolfgang Von Goethe (1749–1832)
“A special feature of the structure of our book is the monstrous but perfectly organic part that eavesdropping plays in it.”
—Vladimir Nabokov (1899–1977)