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)
“In the extent and proper structure of the Union, therefore, we behold a republican remedy for the diseases most incident to republican government.”
—James Madison (1751–1836)