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Exponential map : ウィキペディア英語版
Exponential map

In differential geometry, the exponential map is a generalization of the ordinary exponential function of mathematical analysis. Important special cases include:
* exponential map (Riemannian geometry) for a manifold with a Riemannian metric,
* exponential map (Lie theory) from a Lie algebra to a Lie group,
* More generally, in a manifold with an affine connection, X \mapsto \gamma_X(1), where \gamma_X is a geodesic with initial velocity ''X'', is sometimes also called the exponential map. The above two are special cases of this with respect to appropriate affine connections.
* Euler's formula forming the unit circle in the complex plane.


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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