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 .
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Famous quotes containing the word role:
“Scholars who become politicians are usually assigned the comic role of having to be the good conscience of state policy.”
—Friedrich Nietzsche (1844–1900)
“You are pitiful isolated individuals; you are bankrupts; your role is played out. Go where you belong from now on—into the dustbin of history!”
—Leon Trotsky (1879–1940)
“A famous theatrical actress
Played best in the role of malefactress.
Yet her home-life was pure
Except, to be sure,
A scandal or two just for practice.”
—Anonymous.