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:
“Mental health data from the 1950’s on middle-aged women showed them to be a particularly distressed group, vulnerable to depression and feelings of uselessness. This isn’t surprising. If society tells you that your main role is to be attractive to men and you are getting crow’s feet, and to be a mother to children and yours are leaving home, no wonder you are distressed.”
—Grace Baruch (20th century)
“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)
“Is not our role to stand for the one thing which means our own salvation here but with which it will also be possible to save the world, and with which Europe will be able to save itself, namely the preservation of the white man and his state?”
—Hendrik Verwoerd (1901–1966)