In each time element, approximate solution is constructed by the Lagrangian interpolation functions.

在时间单元上用拉格朗日插值函数构造近似解。

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We prove that the Lagrangian dual bound is identical to the lower bound obtained by convex relaxation.

并且证明了拉格朗日对偶界与通过凸松弛得到的下界是相等的；

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Then we calculate the Lagrangian cost to balance the rate and distortion, by which we can find the best encoding mode.

随后，通过拉格朗日优化算法，找到了平衡编码量和失真大小的宏块的最佳编码模式。

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It allows him (or, rather, his computer) to see the ever-shifting Lagrangian pattern in the bay.

ECONOMIST: Lagrangian coherent structures

At the moment Dr Haller, who is now at McGill University in Montreal, is collaborating with Wenbo Tang of Arizona State University and Pak Wai Chan of the Hong Kong Observatory to apply Lagrangian theory to the problem of aircraft taking off and landing in difficult circumstances.

ECONOMIST: Lagrangian coherent structures

The theory of Lagrangian coherent structures was started about ten years ago by George Haller, who was then at Brown University, in Rhode Island.

ECONOMIST: Lagrangian coherent structures