CONNECTION

Connection

In geometry, the notion of a connection makes precise the idea of transporting data along a curve or family of curves in a parallel and consistent manner. There are a variety of kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for transporting tangent vectors to a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields: the infinitesimal transport of a vector field in a given direction.

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connection

Noun

  1. The act of connecting.
  2. The point at which two or more things are connected.
    the connection between overeating and obesity
    My headache has no connection with me going out last night.
  3. A feeling of understanding and ease of communication between two or more people.
    As we were the only people in the room to laugh at the joke, I felt a connection between us.
  4. An established communications or transportation link.
    computers linked by a network connection
    I was talking to him, but there was lightning and we lost the connection.
  5. A transfer from one transportation vehicle to another in scheduled transportation service
    The bus was late so he missed his connection at Penn Station and had to wait six hours for the next train.


The above text is a snippet from Wiktionary: connection
and as such is available under the Creative Commons Attribution/Share-Alike License.

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