In the vector spaceMathworldPlanetmath n, the word origin refers to the zero point, that is the point (0,,0). Similarly for n. definitions can be made for any vector space. Often the notation 0 or O is used for the origin.

In some contexts the choice of “origin” can be arbitrary and thus not natural. For example, if we think of Euclidean space as an affine space or as a Riemannian manifoldMathworldPlanetmath, it has no natural origin. Many theorems about local properties of manifoldsMathworldPlanetmath are stated for values near the origin in some vector space. This is because any point on the manifold can be the origin in some set of local coordinates.

Title origin
Canonical name Origin
Date of creation 2013-03-22 15:04:31
Last modified on 2013-03-22 15:04:31
Owner jirka (4157)
Last modified by jirka (4157)
Numerical id 7
Author jirka (4157)
Entry type Definition
Classification msc 51-00