### Some articles on *vector*:

Tangent Bundle - Vector Fields

... A smooth assignment of a tangent

... A smooth assignment of a tangent

**vector**to each point of a manifold is called a**vector**field ... Specifically, a**vector**field on a manifold M is a smooth map such that the image of x, denoted Vx, lies in TxM, the tangent space at x ... A**vector**field on M is therefore a section of the tangent bundle of M ...### Famous quotes containing the word local:

“The poet’s eye, in a fine frenzy rolling,

Doth glance from heaven to earth, from earth to heaven;

And as imagination bodies forth

The forms of things unknown, the poet’s pen

Turns them to shapes, and gives to airy nothing

A *local* habitation and a name.”

—William Shakespeare (1564–1616)

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