英语单词短语词组“tangent bundle”的中文翻译、释义及用法解析-英汉词典

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单词	tangent bundle
释义	BETA Examples oftangent bundle Dictionary> Examples oftangent bundle tangent bundleisn’t in the Cambridge Dictionary yet. You can help! Add a definition In particular, it will become important to show that their unit tangent vectors form a set of measure zero in the unittangentbundle. From theCambridge English Corpus This result can also be stated in terms of the geodesic flow on the unittangentbundleof a manifold with negative sectional curvature. From theCambridge English Corpus The gain of considering these data is a conjugacy on the hyperbolic set which can be extended to itstangentbundle. From theCambridge English Corpus We show that there exists a local product structure in the unittangentbundleof the manifold which is invariant under the geodesic flow. From theCambridge English Corpus This means that thetangentbundleof the ambient manifold can be split into two or three invariant sub-bundles as follows. From theCambridge English Corpus Thetangentbundlemust be thought of as the state space for the system. From theCambridge English Corpus For fixed r 0, the unittangentbundleis foliated into these spheres. From theCambridge English Corpus This follows from the fact, mentioned above, that subbundles of thetangentbundlecan be identified with forms and forms can be approximated by analytic ones. From theCambridge English Corpus Thus, the regularization of this singularity can be viewed as excising this neighborhood of the singularity and attaching the northern hemisphere of the unittangentbundleof the sphere. From theCambridge English Corpus Unlike the 2-sphere, the 3-sphere admits nonvanishing vector fields (sections of itstangentbundle). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The functor taking each manifold to itstangentbundleis an example of a section of this bundle object. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. By analogy, the "k" -th ordertangentbundleis the collection of curves modulo the relation of "k" -th order contact. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The construction may be thought of as defining an analog of thetangentbundlein the following way. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Important examples of vector bundles include thetangentbundleand cotangent bundle of a smooth manifold. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Recall that a (smooth) manifold has a uniquetangentbundleand a unique stable normal bundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The frame bundle of a smooth manifold is the one associated to itstangentbundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It can not be a function on thetangentbundlebecause thetangentbundleonly has room for the base space and the directional derivatives. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For 2-dimensional manifolds thetangentbundleis 4-dimensional and hence difficult to visualize. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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更新时间：2024/12/28 11:01:39