Smooth Structure

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 stands in warm water
    Soap all over the smooth of his thigh and stomach
    “Gary don’t soap my hair!”
    Mhis eye-sting fear—
    Gary Snyder (b. 1930)

    What is the structure of government that will best guard against the precipitate counsels and factious combinations for unjust purposes, without a sacrifice of the fundamental principle of republicanism?
    James Madison (1751–1836)