| 词汇 | exponential-map |
| 释义 | BETA exponential mapcollocation in Englishmeanings of exponentialand mapThese words are often used together. Click on the links below to explore the meanings. exponential adjective uk /ˌek.spəˈnen.ʃəl/ us /ˌek.spoʊˈnen.ʃəl/ formal An exponential rate of increase becomes quicker and quicker as the thing that increases ... See more at exponential map noun[ C ] uk /mæp/ us /mæp/ a drawing of the earth's surface, or part of that surface, showing the shape and position of different countries, political borders, natural features such as rivers and mountains, and artificial features such as roads ... See more at map Examples of exponential mapexponential map The author there makes the assumption that the metric's exponentialmap coincides with the group's, which is incorrect. Note that not all external addresses can be realized by an exponentialmap; accordingly the same will be true of our model. For development of numerical algorithms it is essential to discuss the derivative of the exponentialmap. In forthcoming papers we shall discuss an application of the proposed approach to the exponential map and to entire functions without asymptotic values. Let us now develop the promised model for the set of escaping points of an exponentialmap (with non-escaping singular orbit). This is the exponentialmap for the circle group. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In fact, for complete manifolds on non-positive curvature the exponentialmap based at any point of the manifold is a covering map. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In fact, this branch is the image of the exponentialmap acting on the j-axis. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The cut locus of the exponentialmap is, roughly speaking, the set of all points where the exponentialmap fails to have a unique minimum. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This can be generalised to all dimensions, with rotors, elements of the even subalgebra with unit magnitude, being generated by the exponentialmap from bivectors. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Only one quarter of this plane is the image of the exponentialmap, so the logarithm is only defined on that quarter (quadrant). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Take the example that gives the honest exponentialmap. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Skew symmetric matrices generate orthogonal matrices with determinant 1 through the exponentialmap. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Geodesic polar coordinates are obtained by combining the exponentialmap with polar coordinates on tangent vectors at the base point. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Let us now depart from questions concerning single rays and consider the escaping sets of exponential maps in their entirety. 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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