Role
The main role of the tangent bundle is to provide a domain and range for the derivative of a smooth function. Namely, if is a smooth function, with and smooth manifolds, its derivative is a smooth function .
Read more about this topic: Tangent Bundle
Famous quotes containing the word role:
“So successful has been the camera’s role in beautifying the world that photographs, rather than the world, have become the standard of the beautiful.”
—Susan Sontag (b. 1933)
“Women’s battle for financial equality has barely been joined, much less won. Society still traditionally assigns to woman the role of money-handler rather than money-maker, and our assigned specialty is far more likely to be home economics than financial economics.”
—Paula Nelson (b. 1945)
“Certainly parents play a crucial role in the lives of individuals who are intellectually gifted or creatively talented. But this role is not one of active instruction, of teaching children skills,... rather, it is support and encouragement parents give children and the intellectual climate that they create in the home which seem to be the critical factors.”
—David Elkind (20th century)