单词 | exponential map |
释义 | BETA Examples ofexponential mapDictionary> Examples ofexponential map exponential mapisn’t in the Cambridge Dictionary yet. You can help! Add a definition The author there makes the assumption that the metric'sexponentialmapcoincides with the group's, which is incorrect. From theCambridge English Corpus Note that not all external addresses can be realized by anexponentialmap; accordingly the same will be true of our model. From theCambridge English Corpus For development of numerical algorithms it is essential to discuss the derivative of theexponentialmap. From theCambridge English Corpus In forthcoming papers we shall discuss an application of the proposed approach to theexponentialmap and to entire functions without asymptotic values. From theCambridge English Corpus Let us now develop the promised model for the set of escaping points of anexponentialmap(with non-escaping singular orbit). From theCambridge English Corpus This is theexponentialmapfor 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 theexponentialmapbased 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 theexponentialmapacting 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 theexponentialmapis, roughly speaking, the set of all points where theexponentialmapfails 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 theexponentialmapfrom 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 theexponentialmap, 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 honestexponentialmap. 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 theexponentialmap. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Geodesic polar coordinates are obtained by combining theexponentialmapwith 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. From theCambridge English Corpus Any orientation-preserving conjugacy of two exponential maps induces an order-preserving map on their sets of escaping points. From theCambridge English Corpus Furthermore, we show that the principle of topological renormalization is false for attracting exponential maps. From theCambridge English Corpus The general concept is of using theexponentialmapto take the vectors in the tangent space and extend them, as geodesics, to an open set surrounding the tangent point. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Section 8 discusses the uniqueness of our correspondence and some further results on escaping set rigidity of exponential maps. From theCambridge English Corpus On the other hand, we show that two exponential maps are generally not conjugate on their sets of escaping points. From theCambridge English Corpus 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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