Tangent Bundle - Role

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:

    Scholars who become politicians are usually assigned the comic role of having to be the good conscience of state policy.
    Friedrich Nietzsche (1844–1900)

    The role of the writer is not simply to arrange Being according to his own lights; he must also serve as a medium to Being and remain open to its often unfathomable dictates. This is the only way the work can transcend its creator and radiate its meaning further than the author himself can see or perceive.
    Václav Havel (b. 1936)

    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.