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:
“he changed and ran
Through many shapes; I lunged at the smooth throat
Of a great eel; it changed, and I but smote
A fir-tree roaring in its leafless top;
And thereupon I drew the livid chop
Of a drowned dripping body to my breast....”
—William Butler Yeats (1865–1939)
“Each structure and institution here was so primitive that you could at once refer it to its source; but our buildings commonly suggest neither their origin nor their purpose.”
—Henry David Thoreau (1817–1862)