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曲线和曲面运动有着广泛的应用。
The motions of curves and surfaces have a wide range of applications.
特别地，许多可积方程都自然地产生于曲线和曲面运动。
In particular, many integrable equations arise naturally from motions of curves and surfaces.
因此，很多非线性演化方程都与曲线和曲面运动有着密切的关系。
So many nonlinear evolution equations have been shown to be closely related to motions of curves and surfaces.
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