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Vector bundle - Wikipedia, the free encyclopedia (1137 words) |
 | In mathematics, a vector bundle is a geometrical construct where to every point of a topological space (or manifold, or algebraic variety) we attach a vector space in a compatible way, so that all those vector spaces, "glued together", form another topological space (or manifold or variety). |
| A typical example is the tangent bundle of a differentiable manifold: to every point of the manifold we attach the tangent space of the manifold at that point. |
| Smooth vector bundles are defined by requiring that E and X be smooth manifolds, π : E → X be a smooth map, and the local trivialization maps φ be diffeomorphisms. |
| Java Internationalization: Localization with ResourceBundles (2042 words) |
| Resource bundles use a naming convention that distinguishes the potentially numerous versions of essentially the same bundle. |
| The purpose of this bundle is to allow you to define localizable elements as a two-dimensional array of pairs. |
| This bundle is easy to use and requires only minimal code, which allows you to focus on providing data in the bundle instead. |
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